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380
Two letters picked without replacement from {c: 2, z: 2, g: 1}. What is prob of picking 2 c?
1/10
Calculate prob of picking 1 w and 1 q when two letters picked without replacement from {p: 9, w: 3, l: 3, q: 2}.
3/68
Calculate prob of picking 2 u and 2 m when four letters picked without replacement from mqmqquqmq.
0
What is prob of picking 4 e when four letters picked without replacement from {e: 7}?
1
What is prob of picking 1 k, 1 w, and 1 x when three letters picked without replacement from avwxqqavxxkv?
3/220
What is prob of picking 2 k and 1 j when three letters picked without replacement from aaajakakjakkaa?
3/91
Two letters picked without replacement from {t: 1, r: 3, n: 11, v: 5}. What is prob of picking 1 n and 1 v?
11/38
What is prob of picking 1 e and 2 j when three letters picked without replacement from eeeejejj?
15/56
Calculate prob of picking 1 q and 2 w when three letters picked without replacement from {q: 2, w: 17}.
16/57
What is prob of picking 2 w when two letters picked without replacement from {w: 17, y: 1}?
8/9
Three letters picked without replacement from zzzpzppsizsdpppiip. Give prob of picking 1 d, 1 z, and 1 p.
35/816
Two letters picked without replacement from odddldohoodkdkdold. What is prob of picking 2 l?
1/153
Two letters picked without replacement from qjtoorrqotqqqjjjqt. What is prob of picking 2 j?
2/51
What is prob of picking 2 y when two letters picked without replacement from {x: 2, i: 13, y: 3, f: 1}?
1/57
Four letters picked without replacement from {n: 7, d: 5, j: 5, l: 1, m: 1}. What is prob of picking 1 n, 2 j, and 1 d?
175/1938
What is prob of picking 1 a and 1 r when two letters picked without replacement from {t: 3, r: 2, a: 12}?
3/17
Calculate prob of picking 3 e and 1 z when four letters picked without replacement from {z: 3, e: 9}.
28/55
What is prob of picking 1 p, 1 l, and 2 r when four letters picked without replacement from {l: 9, r: 2, j: 2, p: 1}?
9/1001
Four letters picked without replacement from rvrrvvvrrr. Give prob of picking 4 v.
1/210
Two letters picked without replacement from giydwkk. Give prob of picking 1 d and 1 w.
1/21
Calculate prob of picking 1 t and 1 b when two letters picked without replacement from {b: 2, t: 1}.
2/3
Three letters picked without replacement from {z: 8, w: 5, k: 5}. Give prob of picking 2 k and 1 w.
25/408
What is prob of picking 1 a and 3 m when four letters picked without replacement from {a: 6, m: 6}?
8/33
Four letters picked without replacement from {r: 4, p: 1, q: 2, l: 3, n: 1}. What is prob of picking 1 l, 1 p, 1 r, and 1 q?
4/55
Three letters picked without replacement from {h: 4}. Give prob of picking 3 h.
1
What is prob of picking 1 j and 3 x when four letters picked without replacement from xjxxxjjxxjxxjjjx?
21/65
Three letters picked without replacement from {n: 3, i: 1, q: 4, g: 9, o: 1}. Give prob of picking 1 o, 1 g, and 1 i.
3/272
Calculate prob of picking 1 h and 3 j when four letters picked without replacement from {t: 6, j: 4, h: 9}.
3/323
Two letters picked without replacement from pkpvkkktpvf. What is prob of picking 1 t and 1 p?
3/55
Four letters picked without replacement from gqqxxggzxxzxxxqxxx. Give prob of picking 1 x, 2 z, and 1 g.
1/102
Calculate prob of picking 1 q, 1 p, and 1 w when three letters picked without replacement from qpqpwwwwwpwwwwmmpqqm.
12/95
What is prob of picking 3 s when three letters picked without replacement from {s: 7, r: 4}?
7/33
Four letters picked without replacement from nyyfyyfyn. Give prob of picking 1 f, 1 y, and 2 n.
5/63
Three letters picked without replacement from keicf. Give prob of picking 1 f, 1 k, and 1 e.
1/10
What is prob of picking 1 l and 1 g when two letters picked without replacement from llggyylyyygyg?
2/13
Four letters picked without replacement from qppqchqqqchpqqqpc. Give prob of picking 1 p, 2 c, and 1 h.
6/595
Three letters picked without replacement from {n: 5, c: 5, b: 1}. Give prob of picking 2 c and 1 n.
10/33
Three letters picked without replacement from llxxexeelxlxlxxx. What is prob of picking 1 l and 2 e?
3/112
What is prob of picking 2 s when two letters picked without replacement from {c: 6, s: 13}?
26/57
Calculate prob of picking 1 e and 2 q when three letters picked without replacement from eqqeqqeeexeeq.
35/143
What is prob of picking 1 i and 2 j when three letters picked without replacement from {j: 2, i: 4}?
1/5
Three letters picked without replacement from uuucducduccucucuuuu. What is prob of picking 2 d and 1 c?
2/323
Three letters picked without replacement from ztfrrkztrfmrr. Give prob of picking 1 t, 1 z, and 1 m.
2/143
What is prob of picking 3 h when three letters picked without replacement from ixvhq?
0
Calculate prob of picking 2 v and 2 b when four letters picked without replacement from vvvabvbttvvt.
1/33
Three letters picked without replacement from {p: 7, y: 2}. What is prob of picking 2 p and 1 y?
1/2
Three letters picked without replacement from {e: 1, r: 5, u: 1, p: 2}. What is prob of picking 1 p, 1 e, and 1 r?
5/42
What is prob of picking 4 g when four letters picked without replacement from gggggggggg?
1
Calculate prob of picking 1 f and 1 b when two letters picked without replacement from nhnhnnrfrunhhnb.
1/105
Three letters picked without replacement from mlzppkmpkmkppkzlp. What is prob of picking 1 m, 1 p, and 1 z?
9/170
Two letters picked without replacement from ommymmyyoyymymo. Give prob of picking 1 m and 1 o.
6/35
What is prob of picking 2 u and 2 v when four letters picked without replacement from {u: 2, v: 5}?
2/7
Calculate prob of picking 1 q and 1 h when two letters picked without replacement from {h: 1, w: 1, q: 3, s: 5, l: 2, f: 1}.
1/26
What is prob of picking 3 y and 1 e when four letters picked without replacement from eyyvy?
1/5
Three letters picked without replacement from {f: 11, y: 2, c: 1}. Give prob of picking 1 c and 2 f.
55/364
Two letters picked without replacement from {r: 6, u: 2, w: 6, s: 4}. Give prob of picking 1 r and 1 s.
8/51
What is prob of picking 1 f and 1 h when two letters picked without replacement from kawphfk?
1/21
What is prob of picking 4 c when four letters picked without replacement from {c: 6}?
1
Calculate prob of picking 3 t when three letters picked without replacement from ttt.
1
What is prob of picking 1 i, 2 f, and 1 g when four letters picked without replacement from ftumfigm?
1/70
Two letters picked without replacement from {j: 3, r: 15}. Give prob of picking 1 r and 1 j.
5/17
Two letters picked without replacement from {o: 5, h: 7}. Give prob of picking 1 o and 1 h.
35/66
Two letters picked without replacement from {k: 4, c: 2, q: 2, x: 1, j: 5}. Give prob of picking 2 q.
1/91
What is prob of picking 2 p when two letters picked without replacement from {t: 4, f: 9, o: 3, h: 1, p: 2}?
1/171
Calculate prob of picking 3 v when three letters picked without replacement from {e: 2, v: 10}.
6/11
Two letters picked without replacement from {h: 12, i: 7}. Give prob of picking 2 i.
7/57
What is prob of picking 1 l and 1 e when two letters picked without replacement from {l: 1, e: 2}?
2/3
What is prob of picking 3 o when three letters picked without replacement from {h: 4, x: 2, o: 6}?
1/11
Calculate prob of picking 2 m, 1 v, and 1 t when four letters picked without replacement from {k: 4, l: 5, t: 1, v: 2, m: 2}.
2/1001
Four letters picked without replacement from eegvwkwevwevhww. What is prob of picking 1 g, 1 v, 1 k, and 1 h?
1/455
What is prob of picking 1 q and 1 j when two letters picked without replacement from jqjj?
1/2
Calculate prob of picking 1 u, 1 j, and 2 y when four letters picked without replacement from yujyyyyyyujuu.
168/715
Three letters picked without replacement from ddsssd. What is prob of picking 2 s and 1 d?
9/20
Calculate prob of picking 1 a and 2 g when three letters picked without replacement from {w: 4, a: 4, e: 4, g: 5, b: 1, h: 2}.
2/57
Three letters picked without replacement from vvxxxvxxxv. Give prob of picking 3 x.
1/6
What is prob of picking 2 g when two letters picked without replacement from {g: 8, w: 3}?
28/55
Three letters picked without replacement from eizetttzi. What is prob of picking 1 t, 1 e, and 1 i?
1/7
Two letters picked without replacement from {c
|
{
"pile_set_name": "DM Mathematics"
}
|
-0.1? (a) -7 (b) 0.1 (c) -207
b
What is the closest to 1 in -0.1, -28/9, -5, -0.4?
-0.1
What is the nearest to -4.89 in -52, -0.1, -2?
-2
What is the closest to 1.8 in 4, 10, 0.081?
0.081
What is the nearest to -1 in -1/3, -0.5, 0.2576828?
-0.5
Which is the closest to -5? (a) 2/11 (b) 12 (c) -3/5 (d) -23
c
Which is the closest to 0? (a) 1/6 (b) 0.035 (c) -93 (d) -0.2
b
Which is the nearest to -1? (a) -4/157 (b) -1/6 (c) -4 (d) -2
b
What is the closest to -4 in -0.46, 3/8, 2, -4/147, -2?
-2
Which is the nearest to 2.2? (a) 4 (b) 671 (c) -1
a
Which is the closest to 1? (a) -88/25 (b) 0.3 (c) 3 (d) 0
b
Which is the nearest to 1/3? (a) 1/4 (b) 1 (c) -285
a
Which is the closest to -0.04? (a) 1 (b) 8 (c) -98
a
What is the closest to 1 in -0.4, -0.09, -7/30?
-0.09
Which is the nearest to -0.008? (a) 3 (b) 0.087 (c) -19 (d) 0
d
Which is the closest to 10/9? (a) -7 (b) 0.6 (c) -5 (d) -1
b
Which is the nearest to -4/3? (a) -1 (b) -35 (c) -63
a
What is the closest to 1/2 in -6, -4, -0.2, -3?
-0.2
What is the nearest to -4117 in 2, 0.4, -6/11, -3?
-3
What is the nearest to -303/2 in -1/6, -0.5, 5/4?
-0.5
Which is the nearest to 0? (a) -3 (b) -5 (c) 1380.4
a
What is the closest to 1/3 in -0.09, 3, -0.2, 5, -1190?
-0.09
Which is the nearest to 3/17? (a) -0.5 (b) -8 (c) 3685
a
What is the nearest to 2 in 4, 0.03, 270, -1?
0.03
What is the nearest to 0.08 in 0.5, -23/6, -5, -0.4, 4?
0.5
What is the nearest to -104 in -2, 2, 74?
-2
Which is the nearest to 0? (a) 0.3 (b) -9/13 (c) 10
a
What is the closest to 1/3 in -18, 102, -3?
-3
What is the nearest to 0.22 in -0.12, -1.1, -0.1?
-0.1
Which is the closest to -1/5? (a) 0.4 (b) 205 (c) -13 (d) -0.03
d
What is the closest to 2 in -186, -0.4, 5?
-0.4
What is the nearest to 11 in -28, 0, 0.021?
0.021
What is the nearest to -6 in -7, -2/13, 0.7, 3/4, 1/8?
-7
Which is the nearest to 0.1? (a) 5 (b) -1/51 (c) -3/4 (d) -2/13
b
What is the nearest to 0.38 in 0.3, 5, 9/7, -2/9?
0.3
What is the nearest to -2/7 in 5, 3, -0.1, 15?
-0.1
What is the closest to 0.13 in -0.3, -18.06, 4, 2/9?
2/9
What is the nearest to -1 in 87, -2/7, 0.075, 0, 0.5?
-2/7
What is the closest to -0.1 in -0.44, -1/5, -7, -4, -31?
-1/5
What is the closest to -0.1 in 0.2, -21175, 3?
0.2
Which is the closest to -250? (a) -1 (b) 0.3 (c) 3 (d) -2 (e) -3/28
d
Which is the closest to 0.2? (a) 0.5 (b) 1/1591 (c) -1/3 (d) -1/5 (e) 9
b
Which is the closest to 0.3? (a) -3/4 (b) 1887 (c) 1.5
a
Which is the closest to 9? (a) -0.5 (b) 2/3 (c) -5/6
b
What is the closest to -23267 in 1/4, -2/13, -2?
-2
Which is the nearest to -4/689? (a) -6/5 (b) 0.1 (c) 5 (d) -3
b
What is the closest to 423 in -9, 0, -8?
0
Which is the closest to -3? (a) -19 (b) 2 (c) 0.5 (d) -2/3 (e) 22
d
Which is the closest to -3? (a) -160 (b) -0.05 (c) -0.067 (d) 0.2 (e) -5
e
What is the nearest to 0 in -12, 0.2, 1/7, 2.1, 3/2?
1/7
Which is the closest to 0.2? (a) 38.39 (b) 3/8 (c) 3/2 (d) 3
b
What is the nearest to -0.1 in -7, 11, 2.2, 1/2?
1/2
Which is the closest to 2/9? (a) 3/2 (b) 3/17 (c) -0.1 (d) -23/2 (e) 3
b
What is the closest to 0.4 in 2/23, 0, 6, -0.4, -30?
2/23
Which is the nearest to -2/3? (a) 4.155 (b) 5 (c) -1 (d) 0.1
c
What is the nearest to 3/7 in -97, -8, 2/15, 5?
2/15
What is the closest to 2 in 1, -4, 4, 97?
1
What is the nearest to 13605 in 1, 2, -2/3, -3/7?
2
What is the nearest to -2 in 1/5, 0.21, -9/4?
-9/4
What is the nearest to -2 in -4.456, 7, 3?
-4.456
What is the closest to -4 in -4, 2/29, -5, 2.08?
-4
What is the closest to 2/3 in -1/3, 0.3, 11141, -0.1?
0.3
Which is the closest to 0.1? (a) 5 (b) 0.18 (c) 5/4 (d) 28.3
b
Which is the closest to 2? (a) 1 (b) -3 (c) -0.5 (d) 3/5 (e) -84
a
Which is the closest to 1/6? (a) -0.9601 (b) 5 (c) -2/9 (d) -0.03
d
What is the closest to 2/7 in 0, -7/5, -18, 0.8, 0.5?
0.5
What is the closest to 3770 in -11, -0.4, 0.2, -0.1?
0.2
What is the nearest to -10 in -2/7, -0.2, -0.5, -0.057078?
-0.5
Which is the nearest to -1? (a) -7 (b) 0.2 (c) -0.2 (d) -2
c
What is the nearest to 0.2 in 3/7, -13.4, -4/3?
3/7
What is the nearest to -0.1 in 5, -2/25, 24.52?
-2/25
What is the closest to -2/3 in 5, -33450, 3/4?
3/4
Which is the nearest to 0.1? (a) -0.42 (b) -4 (c) 3 (d) -0.2 (e) -117/2
d
What is the nearest to 5.3071 in -3, 0.4, -0.4, -3/7?
0.4
Which is the nearest to 2/13? (a) 0.2 (b) 5 (c) 0.3 (d) 1/3 (e) 3760
a
Which is the closest to 1? (a) 0.1 (b) -27 (c) 60.54 (d) -2/5
a
Which is the nearest to 3? (a) -2/3 (b) -0.088 (c) 6 (d) 5
d
What is the nearest to -0.006 in 0.044, 0.3, -0.1, 0.4?
0.044
Which is the closest to 0.1? (a) 0 (b) -2.08 (c) 5 (d) -1 (e) 126
a
Which is the nearest to -13? (a) -1 (b) 3 (c) -0.4 (d) -0.3
a
Which is the nearest to -1? (a) 5 (b) -2 (c) 7 (d) -28 (e) -1
e
Which is the closest to -1257? (a) 2/9 (b) -1 (c) 0.47
b
What is the nearest to 2 in 3, 5, 0.1, 0.09636?
3
What is the closest to -3542 in 1/4, -0.5, -1/6?
-0.5
What is the closest to 15/4 in 45/2, -0.5, -11/5, 0.3?
0.3
What is the closest to -1 in 5/4, 6, 5, 2/153?
2/153
Which is the closest to 3? (a) 1 (b) -51/4 (c) -793
a
Which is the nearest to -2? (a) -1079 (b) 5 (c) 13 (d) -5
d
Which is the closest to 0? (a) -2/13 (b) -1/5 (c) 1.2 (d) -10/3
a
What is the nearest to 0.2 in -1/16, -10, -0.4, 1/4, 0.06?
1/4
What is the nearest to 0.1 in -25.1, 0.3, -123/2?
0.3
Which is the closest to 0? (a) 2/5 (b) 9/4 (c) -2/3 (d) -141
a
What is the closest to -1 in -0.1, 0.11, -3, 0.01?
-0.1
Which is the closest to 0.16? (a) -0.15 (b) -5/9 (c) 3
a
Which is the closest to -1? (a) -2 (b) 5 (c) -4/51 (d) 4
c
Which is the closest to 0.1? (a) 4 (b) 1/5 (c) -0.04 (d) -2/13
b
What is the closest to -0.2 in -92/25, 3, -2?
-2
What is the closest to -2/5 in 0.09, 2250, 0.3?
0.09
Which is the closest to -0.015? (a) -112 (b) 1/3 (c) -5 (d) 1/9
d
Which is the nearest to -13? (a) -2 (b) -7.7 (c) 2 (d) -1
b
What is the closest to 3/16 in -3, -10, 2?
2
Which is the nearest to -0.05? (a) 242 (b) -0.5 (c) -4/3 (d) 1/4 (e) -3/5
d
Which is the closest to -42? (a) -13 (b) 1 (c) 3
a
Which is the nearest to 1? (a) -0.5 (b) 0.1 (c) 5856
b
What is the closest to -3154 in 0.069, -1, -2/3?
-1
What is the closest to 0 in -2/11, -298, 7, -4, -11?
-2/11
What is the closest to 1/4 in -1, -1/28, 58?
-1/28
What is the closest to 1 in -2, 2/9, -2/9, 1?
1
What is the closest to 13 in -3002/7, 5, -6, 0.2?
5
Which is the closest to 1? (a) -3/11 (b) 3/7 (c) -453/2
b
What is the nearest to 2 in 0.4, -4.6, -0.588, -0.5, 0.5?
0.5
What is the closest to -1 in -0.19, 2, 123, -0.4?
-0.4
What is the closest to -2 in 1/12, -3, -6, -0.3, 2/11?
-3
What is the closest to 0 in 3/7, 2, -1/3, 243, -2/15?
-2/15
Which is the closest to -17? (a) 5.9 (b) 0 (c) -0.16
c
Which is the nearest to 1/2? (a) 711 (b) 3 (c) -5 (d) 2/7
d
Which is the closest to 0? (a) 0.0075 (b) -0.5 (c) 5 (d) 12 (e) 0.05
a
Which is the closest to -0.1? (a) -0.14 (b) -16 (c) 0.2 (d) 0.5
a
Which is the nearest to 17? (a) 211 (b) -1/7 (c) 16
c
What is the closest to -46268 in -5, -2/11, 3/11?
-5
What is the nearest to 243 in -6, 0.1, -1?
0.1
What is the closest to -0.004 in -0.0186, 0.5, -3, -1?
-0.0186
Which is the closest to -122/7? (a) -2/7 (b) -4 (c) -3/4
b
What is the nearest to -0.69 in -4, 9/4, 0.5, -3?
0.5
Which is the closest to -0.3? (a) -0.15 (b) -1/13 (c) -0.6 (d) 3/2 (e) 5
a
What is the nearest to 1 in 3, -7, -4, -2, 19/5?
3
What is the closest to 1.018 in -1.4, 1/2, 0?
1/2
Which is the nearest to -21048? (a) 2 (b) 0.3 (c) -3 (d) 1/5
c
What is the nearest to -1 in 0, 499, 4/5, 0.52?
0
Which is the closest to -1? (a) -2/5 (b) -16500 (c) -1/9 (d) -1
d
Which is the closest to 2/21? (a) -1/8 (b) 0.44 (c) -4 (d) -4.5 (e) -2/5
a
Which is the closest to -26? (a) -6 (b) 1/213 (c) -3
a
What is the closest to -1 in 0, -74, -1, 0.4, 9?
-1
Which is the closest to -16/9? (a) -1 (b) -31 (c) -0.8 (d) 3 (e) -2/13
a
What is the nearest to 1/3 in 173, 1/6, 0, 2/7?
2/7
Which is the nearest to 1/5? (a) 1 (b) -131/8 (c) 2
a
What is the nearest to -0.1 in 5, 4/3, -3, 0.06, -14762?
0.06
What is the closest to
|
{
"pile_set_name": "DM Mathematics"
}
|
-5*i**2 + 6*i - 7*i - 3 + 48 + 4*i. Let o(a) = 4*a**2 - 2*a - 44. Let n(m) = -3*o(m) - 2*v(m). What is j(n(t))?
8*t**4 - 336*t**2 + 3528
Let p(q) be the first derivative of -2*q**2 + 3. Let m(l) = -32*l - 8. Let t(a) = 21*a + 5. Let n(j) = -5*m(j) - 8*t(j). What is p(n(c))?
32*c
Let u(h) = 138*h - 138*h + 447*h**2. Let k(t) = 2*t**2. Determine u(k(f)).
1788*f**4
Let j(l) be the third derivative of -l**4/24 - l**3/6 + l**2. Let n(s) = -1. Let u(g) = -j(g) + n(g). Let d(z) = -3*z - 116 + 116. What is u(d(f))?
-3*f
Let r(s) = 2*s. Suppose -2*c - 2 = i, -13*c + 11*c = 4*i - 10. Let y(t) be the third derivative of 0*t + 0*t**3 + 3/20*t**5 + 0 - 4*t**2 + 0*t**i. Give r(y(x)).
18*x**2
Let s(o) = 131*o - 2. Let a(f) = 5*f - 2. Let j(x) = -22*x + 9. Let m(t) = 18*a(t) + 4*j(t). Give s(m(c)).
262*c - 2
Let a(f) = -78*f - 2. Let b(v) = 47*v - 2. Calculate b(a(y)).
-3666*y - 96
Let n(t) = -3*t + 123691. Let q(p) = -2*p**2. Determine n(q(a)).
6*a**2 + 123691
Let j(a) = 3*a + 4*a - 12*a + 3*a - 2*a. Let k(z) = 6*z**2 + 3. Give j(k(w)).
-24*w**2 - 12
Let m(r) = 3*r**2 - 3134*r - 1. Let v(g) = -5*g. What is m(v(l))?
75*l**2 + 15670*l - 1
Let n(z) = 15*z. Let t(x) be the third derivative of x**6/240 - 5*x**4/12 - 39*x**2. Let a(u) be the second derivative of t(u). Determine a(n(y)).
45*y
Let q(o) = 64*o**2. Let l(b) be the second derivative of -5*b**3/6 + 568*b. What is l(q(h))?
-320*h**2
Suppose 0 = -3*q + 5*q + 4*u - 380, 2*q + 5*u - 379 = 0. Let m(n) = q*n - 96*n - 95*n. Let p(s) = s**2 - 24. Calculate p(m(v)).
v**2 - 24
Let o(h) be the second derivative of 5*h**4/12 - 10*h + 1. Let q(f) = -4*f + 6*f + 2*f. Determine o(q(c)).
80*c**2
Let p(c) = 199442*c. Let b(s) = s. What is p(b(o))?
199442*o
Let d(v) = -v + 1. Let l be d(-2). Let p be 1*10 + 6/l. Let m(a) = -10*a**2 - p*a**2 + 19*a**2. Let t(x) = 4*x. Determine t(m(i)).
-12*i**2
Let m(g) = -10*g**2. Let o(q) = 4*q**2 + 2. Let a(b) = 2*b**2 + 3. Let d(r) = -4*a(r) + 6*o(r). What is m(d(j))?
-2560*j**4
Let t(j) = 83 + 74 - 157 - 2*j. Let q(y) = 4*y**2 - 16*y. Calculate t(q(a)).
-8*a**2 + 32*a
Let t(r) = -246750*r**2. Let v(j) = -j**2. Calculate t(v(x)).
-246750*x**4
Let b(u) = -u + 3*u - u. Let w(n) = 198*n**2 - 44*n + 88. Let h(v) = -13*v**2 + 3*v - 6. Let x(o) = 44*h(o) + 3*w(o). Determine b(x(y)).
22*y**2
Let c(b) = 2*b. Let d(t) = -t - 1. Let r(u) = -7*u - 3. Let j(w) = -3*d(w) + r(w). Let g(k) = 8*k. Let y(q) = -6*g(q) - 10*j(q). Determine y(c(f)).
-16*f
Let d(c) = -3*c. Let z(k) = 6*k + 7*k - 30*k. Give d(z(b)).
51*b
Let y(f) = -6134*f**2 - 2. Let u(x) = x**2. Give y(u(q)).
-6134*q**4 - 2
Let y(p) be the third derivative of -p**7/840 - 7*p**5/20 - 31*p**2. Let a(l) be the third derivative of y(l). Let q(j) = -j. Calculate a(q(r)).
6*r
Let x(q) be the third derivative of -q**4/6 - 5*q**3/3 + q**2. Let j(f) be the second derivative of -f**3/3 + 51*f + 2. What is x(j(z))?
8*z - 10
Let w(r) = -r - 20. Let s(a) = 25*a - 174. What is s(w(v))?
-25*v - 674
Let z(g) = -5*g. Let v be 3/1*(-8)/12*-1. Let b(w) be the first derivative of -2/3*w**3 + v + 0*w**2 + 0*w. Give z(b(l)).
10*l**2
Let u(t) = -t - 13. Let k(w) = -2*w + 52. Determine k(u(c)).
2*c + 78
Let p(w) = -65*w + 194*w - 86 - 66*w - 65*w. Let i(y) = -y. Give i(p(a)).
2*a + 86
Let k(m) = -m - 1. Let v(j) = -j - 3. Let d = -8 - -7. Let f be 3/(-2) - d/2. Let c(n) = f*v(n) + 3*k(n). Let h(s) = s. Give h(c(a)).
-2*a
Let p(a) = -3*a. Let h(t) be the third derivative of t**5/10 - t**3/2 - 233*t**2. Determine h(p(m)).
54*m**2 - 3
Suppose 2*u + 2*u - 8 = -3*x, -5*u = 4*x - 10. Let s(f) = 3*f**u - 3*f**2 - 7*f**2. Let r(n) = 8*n**2. What is r(s(w))?
392*w**4
Let g(b) = -44*b. Let f = -3898 - -5862. Let a(m) = -1964 + f + m**2. Determine a(g(j)).
1936*j**2
Let t(x) = 61596*x. Let i(v) = 4*v**2. Calculate t(i(g)).
246384*g**2
Let q(d) = -3*d. Let g(c) = 79192*c. Give q(g(p)).
-237576*p
Let a(y) = 7*y**2 + 3*y. Let u(v) = v. Let c(t) = -2*a(t) + 6*u(t). Let m(w) = -6*w + 36 + 5*w - 36. Calculate m(c(p)).
14*p**2
Let h(y) = -1089*y**2. Let c(x) = 304*x. Determine h(c(n)).
-100641024*n**2
Let s(l) = -5*l + 42 + 12*l - 9*l + 80 + 13. Let r(y) = -2*y. Calculate s(r(u)).
4*u + 135
Let f(u) be the second derivative of 75*u**4/4 + 2*u - 67. Let j(x) = -3*x. What is f(j(p))?
2025*p**2
Let t(u) = -14*u - 5. Let r(b) = -b + 1. Let k(m) = 5*r(m) + t(m). Let y(i) be the first derivative of 2*i**3/3 + 4. Give k(y(h)).
-38*h**2
Let v(j) = -j**2 + 706. Let z(r) = 11*r**2 + r**2 - 4*r**2 - 7*r**2. What is v(z(c))?
-c**4 + 706
Let w(l) = -2*l. Let z(k) = 5*k**2 + 72*k - 32. Determine w(z(r)).
-10*r**2 - 144*r + 64
Let p(v) be the third derivative of -15*v**2 + 0*v**4 + 0*v**3 + 0 + 0*v - 3/20*v**5. Let n(o) = -o**2. Determine n(p(t)).
-81*t**4
Let q(l) = -29*l**2. Let h(j) = -j + 14. Let d(f) = 22*f - 264. Let r(a) = -7*d(a) - 132*h(a). Determine q(r(m)).
-14036*m**2
Let z(r) = -18884*r**2. Let t(n) = 86*n**2. Give t(z(f)).
30668069216*f**4
Let f(w) = -2*w + 4. Let p(d) = d - 1. Let b(r) = 9 + 2*r - 2*r - 8*r - 2. Let y(a) = -2*b(a) - 14*p(a). What is f(y(k))?
-4*k + 4
Let n(p) be the second derivative of p**6/36 + 9*p**3/2 + 27*p. Let t(c) be the second derivative of n(c). Let z(v) = -2*v**2. Determine t(z(x)).
40*x**4
Let q(s) = -11*s**2. Let u(i) be the second derivative of -9*i**4/4 + 66*i. Calculate u(q(x)).
-3267*x**4
Let t(l) = -8*l - l**2 - l**2 + 8*l. Let s(p) = -2*p + 3. Let d(b) = 2*b - 4. Let i(m) = 3*d(m) + 4*s(m). Give i(t(a)).
4*a**2
Let b(i) be the third derivative of -i**5/20 - 5*i**2. Let s = 17 + -15. Let r(m) = 10*m**2 + 8*m**s - 22*m**2. Calculate r(b(n)).
-36*n**4
Let j(q) = -11*q**2. Let s(c) = -24760*c**2. Calculate s(j(f)).
-2995960*f**4
Let i(h) = 123*h**2 - 4. Let v(n) = 166*n. Calculate v(i(z)).
20418*z**2 - 664
Let g(o) = 8*o**2. Let f(w) = 6*w**2 + 17*w**2 - 37*w**2. Calculate g(f(v)).
1568*v**4
Let s(t) = -2*t**2. Let c(d) = d**2 + 3*d + 1. Let w(a) = 393*a**2 + 6*a + 2. Let z(n) = 2*c(n) - w(n). What is s(z(q))?
-305762*q**4
Let p(s) = 4*s - 464. Let i(w) = 15*w**2. Give p(i(h)).
60*h**2 - 464
Let m(s) = 17*s**2 + 3. Let u(w) = 0 + 248*w + 0 - 247*w + 0. What is u(m(l))?
17*l**2 + 3
Let a(m) = 8*m**2. Let z be (-4)/(-14) + 309/21. Let t = 18 - z. Let f(h) = -t - 4*h + 3*h + 3. Give a(f(x)).
8*x**2
Let i(o) = -4*o. Let p(q) = 4510*q. Determine p(i(f)).
-18040*f
Let y(i) = -349*i. Let b(h) = -4*h**2 + 1329*h. Give b(y(s)).
-487204*s**2 - 463821*s
Let z(w) = -2*w**2 + 3*w. Let j(n) = -n**2 - 6*n - 3. Let m be j(-5). Let l(i) = 2*i**m + 83 - 83. What is l(z(q))?
8*q**4 - 24*q**3 + 18*q**2
Let s(z) = z**2 - 4. Let k(n) = -3. Let w(p) = 4*k(p) - 3*s(p). Let y(l) = 3*l. Give y(w(i)).
-9*i**2
Let h(j) = 2*j. Let n(l) be the third derivative of -l**5/30 - 9*l**3/2 + 357*l**2. Calculate n(h(g)).
-8*g**2 - 27
Let o(v) = v. Let r(a) = -a. Let t(x) = -2*x - 6*x + x. Let p(h) = 21*r(h) + t(h). What is p(o(n))?
-28*n
Let p(a) = -1807*a**2. Let q(d) = 498*d. Give p(q(c)).
-448143228*c**2
Let t be (-4)/8 - (2 + 28/(-8)). Let a(y) = -8 + 7 + 2*y + t. Let h(i) = -5*i**2. What is h(a(p))?
-20*p**2
Let x(k) = 1219*k + 2208. Let g(y) = 20*y + 36. Let w(z) = -184*g(z) + 3*x(z). Let u(l) = -25*l. Determine w(u(m)).
575*m
Let y(a) = 2*a. Let v(w) be the second derivative of 5*w**4/6 + 3*w - 3. Give v(y(l)).
40*l**2
Let i(z) be the third derivative of z**4/24 - 4*z**2. Let t(d) be the first derivative of 9*d**2/2 - 170. Calculate t(i(a)).
9*a
Let u(m) = 27*m**2 - 1. Let f(z) = z**2 + 169. Calculate f(u(y)).
729*y**4 - 54*y**2 + 170
Let x(h) = -799*h**2. Let f(u) = 24*u**2. Give f(x(z)).
15321624*z**4
Let g(k) = 99*k + 1. Let v(a) = -8*a - 1. Determine v(g(n)).
-792*n - 9
Let m(h) = 2*h**2. Let c(q) = 5*q + 2. Let j be 884/16 + 2/(-8). Let y(t) = -135*t - 55. Let w(s) = j*c(s) + 2*y(s). Give w(m(v)).
10*v**2
Let l(g) be the second derivative of -11*g**4/6 + g + 71. Let r(n) = 4*n. What is l(r(s))?
-352*s**2
Let m(x) = 2*x**2 - 102778 + 102778. Let i(c) = 17*c**2 - 6. Determine m(i(p)).
578*p**4 - 408*p**2 + 72
Let k(p) = 3*p. Let l(f) = 1493*f. Determine k(l(j)).
4479*j
Let z(u) = 3*u. Suppose -5*r = 5*f - 5, r = 4*f + 3*r - 2. Let y(m) be the third derivative of f + 0*m**3 + m**2 + 1/12*m**5 + 0*m**4 + 0*m. What is y(z(g))?
45*g**2
Let j(m) = -m**2 - 7914*m. Let w(k) =
|
{
"pile_set_name": "DM Mathematics"
}
|
3*c**2 + 2*c*p**4 - p wrt p.
936*c**2*p + 24*c*p**2
What is the third derivative of -2*b*m**3 + 72*b*m + 31*m**4 + 2*m**3 + 2*m**2 wrt m?
-12*b + 744*m + 12
Find the third derivative of 1611*f**4 - 779*f**2 wrt f.
38664*f
Find the third derivative of -p**2*q*t**3 + 4*p**2*q*t**2 - 46*p**2 - 3*p*t**4 - 158*q*t**4 - 2*q wrt t.
-6*p**2*q - 72*p*t - 3792*q*t
Find the third derivative of -1548*l**2*s**3 + 1359*l**2*s**2 wrt s.
-9288*l**2
What is the second derivative of 124*b**2*z**3 + b**2*z - z**5 + 6*z wrt z?
744*b**2*z - 20*z**3
What is the third derivative of -2*p**6 - 241*p**4 + 8*p**2 - 34*p?
-240*p**3 - 5784*p
Find the first derivative of -3*d**2*o*r**3 + 3*d*o*r**3 - 52*d - o*r**3 + 2*o + r**2 wrt d.
-6*d*o*r**3 + 3*o*r**3 - 52
What is the third derivative of 813*c**3 + 33*c**2 wrt c?
4878
Differentiate -299*d**3*n**2 - 1502*d**3 - d**2*n**4 wrt n.
-598*d**3*n - 4*d**2*n**3
What is the third derivative of -28*f**6 - 3*f**4 - 2*f**2 + 25?
-3360*f**3 - 72*f
Find the second derivative of -2*h*l**3 - h*l**2 - 265*h*l*o**2 - 2*h*l*o + 1198*l**3*o**2 - 2*l*o**2 wrt l.
-12*h*l - 2*h + 7188*l*o**2
Find the third derivative of -2*s**4*t**2 + 10*s**4 - 3*s**3*t**2 - 6*s**2*t - 3*s*t**2 - 183*s wrt s.
-48*s*t**2 + 240*s - 18*t**2
What is the second derivative of 4458*z**3 + 6*z + 207?
26748*z
Find the first derivative of 1773*n*y**2 + 733*y**2 wrt n.
1773*y**2
What is the derivative of 200*d**4*k + 2*d**3*k**2 + 8*k**2 - 1 wrt d?
800*d**3*k + 6*d**2*k**2
Find the second derivative of 4*o**3*r**2 + 2*o**3*r + 69*o**3 + 68*o*r**2 + 4*o*r wrt r.
8*o**3 + 136*o
Differentiate 1802*k*w**2 + 3*k - 540*w**2 - 2*w + 2 wrt k.
1802*w**2 + 3
Find the second derivative of -12*r**2*s**5 - 10*r**2*s**2 + 23*r**2*s - r**2 - 2*s wrt s.
-240*r**2*s**3 - 20*r**2
Find the third derivative of -54*h**3 + 198*h**2 wrt h.
-324
What is the second derivative of -18669*p**2 + 21*p - 153 wrt p?
-37338
Find the third derivative of -1879*c**5*s + 7*c**2*s - 285*c*s wrt c.
-112740*c**2*s
Differentiate -p**2*q**4 + 1602*p**2*q**2 - 21*p**2 - p + 226 wrt q.
-4*p**2*q**3 + 3204*p**2*q
What is the second derivative of 1232*s**5 - 5989*s?
24640*s**3
What is the first derivative of -42*b*j**2 - b - 2*j**3*u - 16*u wrt j?
-84*b*j - 6*j**2*u
Find the third derivative of -20*f*l*n**3*p - f*l*n**3 + 5*f*l*p - f*l - 3*l*n**3 - 4*l*n**2 + l*n + 2*n*p wrt n.
-120*f*l*p - 6*f*l - 18*l
What is the second derivative of -717*h**5 + 99*h wrt h?
-14340*h**3
Differentiate -2046*s - 2225.
-2046
What is the second derivative of -119*f**4 - 5*f**3 - 12*f + 31 wrt f?
-1428*f**2 - 30*f
What is the second derivative of -102*j**3*q**2 + 2*j**3 + 9*j*q + 3*q wrt q?
-204*j**3
What is the derivative of 174*x**2 - 324?
348*x
What is the first derivative of -2*d**3*l + 4*d**3*y + 13*d**3 - 19*d*l**2*y + 2*d*l**2 wrt l?
-2*d**3 - 38*d*l*y + 4*d*l
What is the second derivative of 689*w**5 + 6*w + 117 wrt w?
13780*w**3
Differentiate -112*o**4 - 22*o**2 + o + 6617 with respect to o.
-448*o**3 - 44*o + 1
What is the second derivative of 22*c**2*x**3 - 45*c**2*x**2 - 2*c*x**3 + c*x + 94*c wrt c?
44*x**3 - 90*x**2
What is the derivative of -132*l + 203?
-132
Differentiate -5*j**3*p**3 - 74*j**3*w - j*p*w + 2*j*w + 2*p**3*w with respect to p.
-15*j**3*p**2 - j*w + 6*p**2*w
Find the third derivative of 200*l**3 - 351*l**2 wrt l.
1200
Differentiate -119*q**3*t + 2*q**3 + q**2*t**2 + 6*q**2 - t with respect to t.
-119*q**3 + 2*q**2*t - 1
What is the first derivative of 39*t**2 + 163 wrt t?
78*t
Find the first derivative of 92*o**3 + 182.
276*o**2
Find the second derivative of 13550*k*z**2 - 49*k*z + 63*k + 2*z + 2 wrt z.
27100*k
What is the third derivative of 1380*p**3*z + 508*p**2*z - p*z wrt p?
8280*z
Find the first derivative of -68*m**3*o + 2*m**3*r**2 + 5*o*r**2 + 2*o + 14*r**2 wrt m.
-204*m**2*o + 6*m**2*r**2
Find the third derivative of -t**5 + 2410*t**4 + 20401*t**2 wrt t.
-60*t**2 + 57840*t
Find the first derivative of -z**4 - 384*z - 2450.
-4*z**3 - 384
What is the derivative of -2*c**2*h - 2*c**2 - 150*c*h + 143*c*m**2 + h*m**2 wrt h?
-2*c**2 - 150*c + m**2
Differentiate 924*n - 1350 with respect to n.
924
What is the third derivative of k**2*m**3 + 363*k**2*m**2 - 589*m**6 - 2 wrt m?
6*k**2 - 70680*m**3
Find the first derivative of 594*i**3 + 795.
1782*i**2
What is the third derivative of -2*b**4*o - 94*b**4 - 14*b**3*o + b**2*o + 55*o wrt b?
-48*b*o - 2256*b - 84*o
What is the third derivative of -6131*b**3*y - 17*b**2*y - 26*b**2 - 2*b*y + b wrt b?
-36786*y
Differentiate -b**3*t*u - 47*b*t*u - 4*t*u + t - 3*u wrt b.
-3*b**2*t*u - 47*t*u
Find the second derivative of q**3 + 127*q**2 - 2*q + 12.
6*q + 254
What is the second derivative of -1028*h**2*n**3 - 2*h**2 - 2*h*n - 2*h - 6*n**3 + 4 wrt h?
-2056*n**3 - 4
What is the second derivative of -420*c**2 - 14*c + 3 wrt c?
-840
Find the third derivative of -29*h**2*z**3 + 3*h**2*z**2 + 2*h**2 - h*z**2 + z**4 - 5*z**3 + 60 wrt z.
-174*h**2 + 24*z - 30
Find the first derivative of -88*q**2 + q - 8.
-176*q + 1
Differentiate 784*k**4 + 56 with respect to k.
3136*k**3
Find the second derivative of -3444*c*q**2 + 6597*c*q wrt q.
-6888*c
What is the derivative of 85*z**3 - 3*z**2 - 2?
255*z**2 - 6*z
Find the first derivative of 5*g**3*v**2 - 47*g**3*v - 393*g**3 + 3 wrt v.
10*g**3*v - 47*g**3
Find the second derivative of -5590*y**3 - 2104*y - 1.
-33540*y
Differentiate 12*p*v*z + 46*p*z**2 + 5*v*z + 3*v + 3*z**2 wrt p.
12*v*z + 46*z**2
What is the derivative of 28*q**3*y**2 - 6*q**2*y**2 - 997*y**2 wrt q?
84*q**2*y**2 - 12*q*y**2
What is the first derivative of 2*q**4 + 95*q**3 - 11412 wrt q?
8*q**3 + 285*q**2
Find the third derivative of 32*a**4*x**3 + 48*a**3*x - 19*a**2 - 130*a*x**3 wrt a.
768*a*x**3 + 288*x
Find the second derivative of -18*b**2*y**2 - 12*b**2 - 45*b*y**2 + b*y + b + 9 wrt y.
-36*b**2 - 90*b
Find the third derivative of -77*s**4 - 36*s**2.
-1848*s
What is the third derivative of -2*a**2*q**3 + 2*a**2*q - 64*a*q**2 - 7*q**5 + 16*q**4 + 10*q**2 wrt q?
-12*a**2 - 420*q**2 + 384*q
Find the second derivative of g**3*w**2 + 12*g**3 - g**2*w + 961*w**2 wrt w.
2*g**3 + 1922
Differentiate -273*b - 322 with respect to b.
-273
Find the third derivative of 20*p**2*w**4 + p**2*w**3 + 2*p**2*w**2 + 3*w**4 + 5*w**2 + 21*w wrt w.
480*p**2*w + 6*p**2 + 72*w
What is the first derivative of -23*b*n**2*q**2 - b*n**2 - b*n*q**3 + 26*n**2*q**2 + n**2*q - 9*n*q**3 wrt b?
-23*n**2*q**2 - n**2 - n*q**3
What is the third derivative of -79*r**4 - 2*r**3 + 67*r**2 wrt r?
-1896*r - 12
What is the second derivative of -14554*j*n**2 + 186*j + n**2 - 11*n wrt n?
-29108*j + 2
Find the third derivative of 30*h**3*z**3 + 10*h**3*z**2 - 2*h**3 + 3*h*z**5 - 48*z**2 wrt z.
180*h**3 + 180*h*z**2
What is the third derivative of p*x**3 - 8*p*x**2 - 10*x**3 - 1 wrt x?
6*p - 60
Find the third derivative of 64*b**3*x + 45*b**3 + 2*b**2 - 12*b - 67*x wrt b.
384*x + 270
Find the second derivative of -f**2*s**3 + 164*f**2*s**2 + 29*f**2*s - 4*f*s wrt s.
-6*f**2*s + 328*f**2
Find the third derivative of -17165*u**3*v**3 + u**2*v + 6*v**3 + 1021*v wrt u.
-102990*v**3
What is the second derivative of -2311*d**3 - 1451*d?
-13866*d
What is the second derivative of j**3*w**3 + j**3*w - j**3 + 203*j - 251*w**3 wrt w?
6*j**3*w - 1506*w
Find the third derivative of 6*h**6 + 94*h**4 + 5*h**2 + 72*h wrt h.
720*h**3 + 2256*h
Find the second derivative of 11*i**4 - 5*i**3 - 32*i**2 + 6010*i wrt i.
132*i**2 - 30*i - 64
What is the second derivative of -480*h**4 + h + 24?
-5760*h**2
Find the second derivative of 4729*n**2*y**3 - 96*n**2*y + 4*n*y wrt y.
28374*n**2*y
What is the second derivative of -7*i**2*r**2*t - 4*i**2*r**2 + 10*i**2*t + 17*i*r**2*t + 3*i*t + 17*i + r*t wrt r?
-14*i**2*t - 8*i**2 + 34*i*t
Find the third derivative of 108*w**3 - 184*w**2 - 2 wrt w.
648
Find the third derivative of 4*c**5 + 93*c**4 + 519*c**2.
240*c**2 + 2232*c
Find the second derivative of -35*c**2*r**2 + c**2 + r**2 - 15*r wrt r.
-70*c**2 + 2
Find the second derivative of 2*m**2*o**3 - 118*m**2*o**2*r + m**2*o*r + 5*m*o**2*r + m*o**2 - o**3 wrt m.
4*o**3 - 236*o**2*r + 2*o*r
What is the second derivative of -17*t**3 + t**2 + 121*t wrt t?
-102*t + 2
Differentiate 25960*c*z - 2336*z with respect to c.
25960*z
What is the
|
{
"pile_set_name": "DM Mathematics"
}
|
+ n**2 + 911.
n**2
Collect the terms in 14*a**2 + 25*a**2 - 43*a**2 + 16*a**2.
12*a**2
Collect the terms in -44*f**2 + 36 - 75 + 37.
-44*f**2 - 2
Collect the terms in 4*h - 5*h + h + 3*h**2.
3*h**2
Collect the terms in -7*r**2 - 67*r**2 + 14*r**2.
-60*r**2
Collect the terms in 2*y - 13*y + 0 + 0.
-11*y
Collect the terms in -13*z - 899 + 899.
-13*z
Collect the terms in -44*y**3 + 3*y**3 + 21*y**3.
-20*y**3
Collect the terms in v**3 - 7*v**3 + 0*v**3.
-6*v**3
Collect the terms in 36*m**2 + 39*m**2 - 68*m**2.
7*m**2
Collect the terms in -16*w - 24*w + 39*w.
-w
Collect the terms in 18*b**3 - 7*b**3 - 12*b**3.
-b**3
Collect the terms in 0*b**2 + 4000*b - 4000*b + 2*b**2.
2*b**2
Collect the terms in j - 4*j + 2*j - 6*j.
-7*j
Collect the terms in -2*x**2 + 4*x**2 + x**2.
3*x**2
Collect the terms in 15248*f**2 - 7621*f**2 - 7625*f**2.
2*f**2
Collect the terms in 3*q**3 + 24 - 11 - 13.
3*q**3
Collect the terms in -5*h - 338 + 338.
-5*h
Collect the terms in -2206*o + 1083*o + 1105*o.
-18*o
Collect the terms in 590*s - 392*s - 201*s.
-3*s
Collect the terms in 18*o**3 + 15*o**3 + 14*o**3 - 4*o**3.
43*o**3
Collect the terms in -18*f - 15*f + 12*f + 4*f**3.
4*f**3 - 21*f
Collect the terms in -13*s**3 + 21*s**3 + 41*s**3 + 76*s**3.
125*s**3
Collect the terms in -49*v - 12*v - 14*v.
-75*v
Collect the terms in -2*f**2 - 3317 + 3317.
-2*f**2
Collect the terms in 15174*t - 3*t**2 - 15174*t.
-3*t**2
Collect the terms in 48*t**2 - 3 + 3 - 12*t**2.
36*t**2
Collect the terms in -4*m**2 - 1924*m + 1924*m.
-4*m**2
Collect the terms in -2*t + 3*t + 42 + 6*t - 42.
7*t
Collect the terms in 8*t + 7*t - 21*t.
-6*t
Collect the terms in 3865*s + 3862*s + 2*s**3 - 7727*s.
2*s**3
Collect the terms in -4*k + 8*k + 7*k**2 - k**2.
6*k**2 + 4*k
Collect the terms in 56*o**2 - 2*o**3 - 26*o - 56*o**2.
-2*o**3 - 26*o
Collect the terms in 24*v**2 - 11*v**2 + 19*v**2.
32*v**2
Collect the terms in 2*o**3 - 16*o**3 - 2*o**3.
-16*o**3
Collect the terms in 24*s**2 - 10*s**2 - 14*s**2 + 52*s**3.
52*s**3
Collect the terms in -59 + 6*v**2 - 8*v**2 + 112 - 53.
-2*v**2
Collect the terms in -3 - 266*n + 1 - 163*n.
-429*n - 2
Collect the terms in 2*z**2 - 4*z**2 + 4*z**2.
2*z**2
Collect the terms in -702*t**3 + 347*t**3 + 359*t**3.
4*t**3
Collect the terms in -6*s**3 + 7*s**3 + 956 - 2*s + 2*s.
s**3 + 956
Collect the terms in 5*l + 7 - 6*l - 4 - 3.
-l
Collect the terms in 170*j**2 + 3*j - 3*j + 245*j**2.
415*j**2
Collect the terms in 211*t - 66*t - 70*t - 70*t.
5*t
Collect the terms in 438*u**2 - 59*u + 59*u.
438*u**2
Collect the terms in 10 + w - 4 + 7 + 7*w.
8*w + 13
Collect the terms in 17*f - 7*f - 3*f.
7*f
Collect the terms in 1634*s**2 + 1597*s**2 - 3232*s**2.
-s**2
Collect the terms in -2*t**3 + 0*t**2 + 3*t**2 + 7*t**3 - t**2.
5*t**3 + 2*t**2
Collect the terms in 55*i - 101*i + 50*i.
4*i
Collect the terms in -4*a + a + 2*a + 14*a - 15*a.
-2*a
Collect the terms in -205*b + 4*b**3 + 205*b.
4*b**3
Collect the terms in 203 - 102 - 101 - 7*l.
-7*l
Collect the terms in 7*c + 2*c + 7*c.
16*c
Collect the terms in -11*b**2 - 20*b**2 + 26*b**2.
-5*b**2
Collect the terms in -5*l - 2*l + 4*l.
-3*l
Collect the terms in 15 - z - 8 - 7 - 5*z**2.
-5*z**2 - z
Collect the terms in -55 - 4*d + 158 - 54 - 49.
-4*d
Collect the terms in -218*j + 431*j - 207*j.
6*j
Collect the terms in 10*y + 0*y - 10*y + 3*y**2 + 0*y**2.
3*y**2
Collect the terms in 25*m - 55*m + 29*m.
-m
Collect the terms in -266*n**2 + 10*n + 267*n**2 - 10*n.
n**2
Collect the terms in -47*y + 28*y + 19*y - 23*y**2.
-23*y**2
Collect the terms in -26*j + 9*j + 6*j + 2*j**3 + 11*j.
2*j**3
Collect the terms in -12*d + 7*d + 5*d - 3*d**3 + 2*d.
-3*d**3 + 2*d
Collect the terms in -6*j**3 + j**3 + 3*j**3 + 6*j**3.
4*j**3
Collect the terms in -46*s + 74*s - 31*s.
-3*s
Collect the terms in -52 + 105 - 53 + 6*l**3 - 4*l**3.
2*l**3
Collect the terms in 126*p**3 + 121*p**3 - 251*p**3.
-4*p**3
Collect the terms in -4*c**2 + 7*c**2 + 2*c**2 + 7*c**2.
12*c**2
Collect the terms in -68 + 68 - 4*i**2.
-4*i**2
Collect the terms in -51461*s + 102921*s - 51459*s.
s
Collect the terms in -8*a**2 + 0*a**2 - 30*a + 30*a.
-8*a**2
Collect the terms in -2*w**2 - 4*w**2 - 8*w**2 + w**2.
-13*w**2
Collect the terms in z + 7 - 7 - 3*z.
-2*z
Collect the terms in -i**2 + 1 - 2*i**2 + i**2.
-2*i**2 + 1
Collect the terms in -8*k - 10 + 16*k - 6*k.
2*k - 10
Collect the terms in 0*n**2 + 6*n**2 + 24*n**2.
30*n**2
Collect the terms in 28*j**3 + 11*j**3 - 13*j**3.
26*j**3
Collect the terms in -4*z**2 + 4*z**2 + 1 + z**2.
z**2 + 1
Collect the terms in -13*i - 15*i + 34*i.
6*i
Collect the terms in -25 + 25 + 4*j**2 - 19*j**2.
-15*j**2
Collect the terms in -275*p**2 - 15*p + 15*p.
-275*p**2
Collect the terms in -121125 - 16*f**2 + 3*f**2 + 121125.
-13*f**2
Collect the terms in 309 + x + 3*x - 309.
4*x
Collect the terms in s**2 + 635 - 1271 + 636.
s**2
Collect the terms in 14*o - 6*o + o.
9*o
Collect the terms in 8*d**2 - 5*d**2 - 1068 + 1068.
3*d**2
Collect the terms in 1 + 13*k - 12*k - 9.
k - 8
Collect the terms in 127*l + l**2 - l**2 - 2*l**2.
-2*l**2 + 127*l
Collect the terms in -3 - 10*x**3 + 12*x**3 + 3.
2*x**3
Collect the terms in 7 + 4*k**2 + 32 - 39.
4*k**2
Collect the terms in -93*l**2 + 46*l**2 + 49*l**2.
2*l**2
Collect the terms in -6*t + 5*t - 69*t**2 + t.
-69*t**2
Collect the terms in 14*y**2 - 2*y**2 - 7*y**2 - 1 - 7*y**2.
-2*y**2 - 1
Collect the terms in -3*q**2 + 6*q**3 - 7*q**3 - 6*q**2.
-q**3 - 9*q**2
Collect the terms in 4406*s**3 + 4418*s**3 - 8809*s**3.
15*s**3
Collect the terms in 66*m**3 + 8*m - 34*m - 59*m**3.
7*m**3 - 26*m
Collect the terms in -6*v**3 - 224*v + 224*v.
-6*v**3
Collect the terms in 0*k - 4*k - 115*k**3 + 26*k**3 + 6*k.
-89*k**3 + 2*k
Collect the terms in 146*z**2 - 286*z**2 + 145*z**2.
5*z**2
Collect the terms in -795*k + 2381*k - 792*k - 796*k.
-2*k
Collect the terms in 14*h**3 - 3232*h + 3232*h.
14*h**3
Collect the terms in -58*o + 113*o - 53*o.
2*o
Collect the terms in 5199*j**2 + 9*j**3 - 5199*j**2.
9*j**3
Collect the terms in 5*b**3 + 5*b**3 - 2*b**3 - 11*b**3.
-3*b**3
Collect the terms in -4*m**3 - 619*m**2 + 619*m**2.
-4*m**3
Collect the terms in 20*z - 164 + 269 - 105.
20*z
Collect the terms in 27*p - 51*p + 140*p.
116*p
Collect the terms in -6035*x - 6016*x + 12055*x.
4*x
Collect the terms in 120*m - 15*m**2 + 7*m**2 - 120*m.
-8*m**2
Collect the terms in 83*p**2 - 42*p**2 - 31*p**2.
10*p**2
Collect the terms in -2298*p + 1153*p + 1157*p.
12*p
Collect the terms in -35 + 20*j + 7 + 28.
20*j
Collect the terms in 0*m - 6*m + 3*m - 5.
-3*m - 5
Collect the terms in 2*s + 420 + 2*s - 420.
4*s
Collect the terms in 87*x + 84*x - 250*x + 90*x.
11*x
Collect the terms in -227149*n**3 - 2 + 2 + 227148*n**3.
-n**3
Collect the terms in -85*n**2 + 176*n**2 - 91*n**2 + 4*n**3.
4*n**3
Collect the terms in 4 - 4 + 9230*r**2 - 9227*r**2.
3*r**2
Collect the terms in -s + 14*s**2 + s + 176*s**2.
190*s**2
Collect the terms in d**2 - 6*d**3 + 3*d**2 - 5*d**3.
-11*d**3 + 4*d**2
Collect the terms in 1 + 67280*k - 67282*k - 1.
-2*k
Collect the terms in 20 - 20 - 6*v**2 + 0*v**2 + v**2.
-5*v**2
Collect the terms in 3294*v - 10*v**3 - 3294*v.
-10*v**3
Collect the terms in -19980 + 19980 - f**2.
-f**2
Collect the terms in 44*n**3 - 36*n**3 - 317*n**3 - 289*n**3.
-598*n**3
Collect the terms in -3*y + 4*y + 94 - 94.
y
Collect the terms in 0*y**3 - 5*y**3 + 5*y**3 - 3*y**3.
-3*y**3
Collect the terms in -13 - q - 57 - 43.
-q - 113
Collect the terms in 24*k + 23*k - 2*k.
45*k
Collect the terms in -5 - 90*a + 1 + 4.
-90*a
Collect the terms in 33 - 43 - 5*t + 10.
-5*t
Collect the terms in 27 + 20*f**2 - 14 - 13.
20*f**2
Collect the terms in 23*d - 46*d + 23*d - 123*d**3 + 124*d**3.
d**3
Collect the terms in -5*d + 0*d + 4*d + 2*d.
d
Collect the terms in 29*v**2 - 2*v + 25*v**2 - 20*v**2 + 20*v**2.
54*v**2 - 2*v
Collect the terms in 854553 + 2*x**2 - 854553.
2*x**2
Collect the terms in 29*v + 31*v - 5*v.
55*v
Collect the terms in -370*i**3 + 387*i**3 + 3*i**2 - 3*i**2.
17*i**3
Collect the terms in 87*m**2 + 106*m**2 - m**3 - 193*m**2.
-m**3
Collect the terms in -82 - 3*g**3 + 44 + 38.
-3*g**3
Collect the terms in -7*w**3 + 7*w**3 + 8*w**3.
8*w**3
Collect the terms in -2*h - 3*h + 6*h + 3*h.
4*h
Collect the terms in 3*j + 46737 - 46737.
3*j
Collect the terms in n**2 +
|
{
"pile_set_name": "DM Mathematics"
}
|
4, -862, -2090, -3924, -6430?
-11*w**3 - 204*w**2 + w + 40
What is the y'th term of 65, 246, 561, 1022, 1641, 2430, 3401?
2*y**3 + 55*y**2 + 2*y + 6
What is the c'th term of -5123, -4472, -3821, -3170?
651*c - 5774
What is the w'th term of -390, -715, -1040, -1365, -1690, -2015?
-325*w - 65
What is the k'th term of -373, -528, -791, -1162?
-54*k**2 + 7*k - 326
What is the j'th term of 12811, 12809, 12805, 12799, 12791, 12781, 12769?
-j**2 + j + 12811
What is the t'th term of 28373, 28304, 28235, 28166, 28097, 28028?
-69*t + 28442
What is the i'th term of -56, -15, 24, 61, 96, 129, 160?
-i**2 + 44*i - 99
What is the c'th term of 758750, 758748, 758746, 758744, 758742, 758740?
-2*c + 758752
What is the w'th term of 31460, 62790, 94120, 125450, 156780?
31330*w + 130
What is the a'th term of 8553, 17100, 25647?
8547*a + 6
What is the p'th term of 543, 582, 653, 762, 915, 1118, 1377?
p**3 + 10*p**2 + 2*p + 530
What is the n'th term of -4998, -5049, -5102, -5157, -5214, -5273, -5334?
-n**2 - 48*n - 4949
What is the u'th term of 13384, 26757, 40108, 53425, 66696, 79909, 93052?
-2*u**3 + u**2 + 13384*u + 1
What is the f'th term of 678202, 2712807, 6103816, 10851229, 16955046?
678202*f**2 - f + 1
What is the c'th term of -741, -1496, -2251, -3006, -3761?
-755*c + 14
What is the f'th term of -72, -110, -178, -276, -404, -562, -750?
-15*f**2 + 7*f - 64
What is the h'th term of -1381, -1107, -835, -565, -297, -31, 233?
-h**2 + 277*h - 1657
What is the t'th term of -842735, -1685469, -2528203?
-842734*t - 1
What is the l'th term of -6061, -12124, -18193, -24268, -30349, -36436, -42529?
-3*l**2 - 6054*l - 4
What is the r'th term of -3387, -6716, -10045, -13374, -16703, -20032?
-3329*r - 58
What is the p'th term of 10, -129, -344, -623, -954, -1325, -1724, -2139?
2*p**3 - 50*p**2 - 3*p + 61
What is the x'th term of -87918, -87923, -87932, -87945, -87962, -87983, -88008?
-2*x**2 + x - 87917
What is the d'th term of -394, -1541, -3444, -6097, -9494, -13629, -18496, -24089?
d**3 - 384*d**2 - 2*d - 9
What is the t'th term of 190, 735, 1642, 2911?
181*t**2 + 2*t + 7
What is the c'th term of 4559, 4554, 4545, 4532, 4515, 4494?
-2*c**2 + c + 4560
What is the i'th term of 90492, 180987, 271482, 361977, 452472?
90495*i - 3
What is the v'th term of 49, 43, 29, 1, -47, -121, -227?
-v**3 + 2*v**2 - 5*v + 53
What is the j'th term of -9282, -9323, -9364?
-41*j - 9241
What is the y'th term of 1548, 3095, 4652, 6225, 7820?
y**3 - y**2 + 1543*y + 5
What is the t'th term of -257, -555, -847, -1127, -1389?
t**3 - 3*t**2 - 296*t + 41
What is the p'th term of -60, -34, 114, 438, 992?
9*p**3 + 7*p**2 - 58*p - 18
What is the m'th term of 4967, 4985, 5005, 5027, 5051?
m**2 + 15*m + 4951
What is the k'th term of 4812, 9648, 14488, 19332, 24180, 29032?
2*k**2 + 4830*k - 20
What is the w'th term of -35776, -35770, -35752, -35716, -35656, -35566?
w**3 - w - 35776
What is the k'th term of 503, 1016, 1527, 2036, 2543, 3048, 3551?
-k**2 + 516*k - 12
What is the b'th term of 257514, 257515, 257516?
b + 257513
What is the r'th term of -5013, -5024, -5039, -5058, -5081, -5108?
-2*r**2 - 5*r - 5006
What is the i'th term of 145708, 145723, 145764, 145843, 145972, 146163, 146428, 146779?
2*i**3 + i**2 - 2*i + 145707
What is the u'th term of -3249, -12987, -29217, -51939, -81153, -116859, -159057?
-3246*u**2 - 3
What is the x'th term of 159, 18, -203, -510, -909, -1406?
-x**3 - 34*x**2 - 32*x + 226
What is the t'th term of -476923, -953843, -1430765, -1907689, -2384615, -2861543?
-t**2 - 476917*t - 5
What is the q'th term of 35021, 70041, 105061?
35020*q + 1
What is the i'th term of 17946, 17933, 17904, 17853, 17774, 17661, 17508, 17309?
-i**3 - 2*i**2 + 17949
What is the r'th term of -260913, -260915, -260917, -260919?
-2*r - 260911
What is the q'th term of -5986, -6580, -8194, -11338, -16522, -24256, -35050, -49414?
-85*q**3 + q - 5902
What is the l'th term of -289, -2688, -9191, -21850, -42717, -73844, -117283?
-342*l**3 - 5*l + 58
What is the g'th term of 14765, 14764, 14763, 14762, 14761?
-g + 14766
What is the k'th term of -141, -477, -1037, -1821, -2829, -4061?
-112*k**2 - 29
What is the y'th term of -2321, -4660, -6999?
-2339*y + 18
What is the q'th term of 459, 1314, 2563, 4206, 6243, 8674?
197*q**2 + 264*q - 2
What is the k'th term of -110584, -221161, -331736, -442309?
k**2 - 110580*k - 5
What is the k'th term of -5082, -5081, -5080?
k - 5083
What is the i'th term of -2618, -2564, -2468, -2324, -2126, -1868?
i**3 + 15*i**2 + 2*i - 2636
What is the f'th term of 46, 483, 1208, 2221, 3522?
144*f**2 + 5*f - 103
What is the j'th term of -185, -319, -431, -527, -613?
-j**3 + 17*j**2 - 178*j - 23
What is the u'th term of -3017, -6037, -9057, -12077?
-3020*u + 3
What is the w'th term of -34, 36, 148, 308, 522, 796, 1136, 1548?
w**3 + 15*w**2 + 18*w - 68
What is the v'th term of -208244, -416486, -624726, -832964, -1041200?
v**2 - 208245*v
What is the j'th term of 56, 266, 812, 1868, 3608, 6206?
29*j**3 - 6*j**2 + 25*j + 8
What is the k'th term of 1948, 7790, 17526, 31156, 48680, 70098?
1947*k**2 + k
What is the q'th term of 7901, 7983, 8199, 8615, 9297, 10311, 11723, 13599?
11*q**3 + q**2 + 2*q + 7887
What is the c'th term of -25, -162, -553, -1324, -2601, -4510, -7177, -10728?
-21*c**3 - c**2 + 13*c - 16
What is the y'th term of 3732, 3844, 3956?
112*y + 3620
What is the x'th term of 103978, 207942, 311906, 415870?
103964*x + 14
What is the t'th term of 76907, 76890, 76873, 76856, 76839, 76822?
-17*t + 76924
What is the t'th term of -29290, -29288, -29278, -29254, -29210, -29140, -29038, -28898?
t**3 - 2*t**2 + t - 29290
What is the j'th term of 41840, 167352, 376538, 669398?
41837*j**2 + j + 2
What is the d'th term of 2446, 4906, 7380, 9874, 12394, 14946, 17536, 20170?
d**3 + d**2 + 2450*d - 6
What is the y'th term of -8930, -17889, -26848, -35807, -44766?
-8959*y + 29
What is the a'th term of -39, -476, -1265, -2406, -3899, -5744?
-176*a**2 + 91*a + 46
What is the x'th term of 600031, 600029, 600025, 600019?
-x**2 + x + 600031
What is the l'th term of 228, 223, 222, 231, 256, 303, 378?
l**3 - 4*l**2 + 231
What is the s'th term of -308, -206, -114, -38, 16, 42?
-s**3 + s**2 + 106*s - 414
What is the a'th term of -1266, -5063, -11394, -20259, -31658, -45591?
-1267*a**2 + 4*a - 3
What is the b'th term of -3221, -3203, -3159, -3077, -2945, -2751, -2483?
2*b**3 + b**2 + b - 3225
What is the v'th term of 5105, 4878, 4651, 4424?
-227*v + 5332
What is the q'th term of 121249, 121253, 121259, 121267, 121277?
q**2 + q + 121247
What is the t'th term of 6416, 12825, 19234?
6409*t + 7
What is the h'th term of 628, -2959, -12700, -31673, -62956, -109627?
-513*h**3 + h**2 + h + 1139
What is the z'th term of -928, -923, -820, -571, -128, 557?
8*z**3 + z**2 - 54*z - 883
What is the w'th term of -53, -99, -167, -251, -345?
w**3 - 17*w**2 - 2*w - 35
What is the g'th term of 14776088, 14776087, 14776086, 14776085?
-g + 14776089
What is the w'th term of -119, -791, -1499, -2261, -3095, -4019, -5051?
-3*w**3 - 651*w + 535
What is the f'th term of 428, 1754, 4024, 7286, 11588?
8*f**3 + 424*f**2 - 2*f - 2
What is the y'th term of 29, -421, -1853, -4759, -9631, -16961?
-82*y**3 + y**2 + 121*y - 11
What is the b'th term of 444372, 444371, 444370, 444369?
-b + 444373
What is the r'th term of 22278, 22298, 22318, 22338, 22358, 22378?
20*r + 22258
What is the a'th term of -644, -1132, -1620, -2108, -2596?
-488*a - 156
What is the k'th term of 444, 3619, 12252, 29073, 56812, 98199, 155964?
455*k**3 - k**2 - 7*k - 3
What is the r'th term of 8880, 8927, 8974, 9021, 9068, 9115?
47*r + 8833
What is the h'th term of -57543, -57541, -57539, -57537?
2*h - 57545
What is the s'th term of 38123, 38130, 38147, 38180, 38235, 38318, 38435, 38592?
s**3 - s**2 + 3*s + 38120
What is the q'th term of 469, 3763, 12711, 30145, 58897, 101799?
472*q**3 - 5*q**2 + 5*q - 3
What is the f'th term of 1200, 2381, 3560, 4737, 5912, 7085, 8256?
-f**2 + 1184*f + 17
What is the q'th term of -13960, -13850, -13726, -13582, -13412, -13210, -12970?
q**3 + q**2 + 100*q - 14062
What is the q'th term of -1456, -2907, -4358, -5809, -7260?
-1451*q - 5
What is the d'th term of -1040, -4840, -11174, -20042?
-1267*d**2 + d + 226
What is the b'th term of -
|
{
"pile_set_name": "DM Mathematics"
}
|
divided by 29.
27
Calculate the remainder when 221 is divided by 49.
25
Calculate the remainder when 1647 is divided by 66.
63
Calculate the remainder when 4948 is divided by 150.
148
What is the remainder when 4993 is divided by 15?
13
What is the remainder when 450 is divided by 3?
0
What is the remainder when 921 is divided by 21?
18
What is the remainder when 1863 is divided by 94?
77
What is the remainder when 396 is divided by 25?
21
Calculate the remainder when 289 is divided by 20.
9
Calculate the remainder when 134 is divided by 30.
14
Calculate the remainder when 447 is divided by 16.
15
What is the remainder when 915 is divided by 10?
5
What is the remainder when 201 is divided by 19?
11
What is the remainder when 1319 is divided by 596?
127
What is the remainder when 2293 is divided by 45?
43
What is the remainder when 122 is divided by 115?
7
Calculate the remainder when 13430 is divided by 73.
71
Calculate the remainder when 507 is divided by 54.
21
What is the remainder when 169 is divided by 43?
40
What is the remainder when 30726 is divided by 46?
44
Calculate the remainder when 6568 is divided by 73.
71
Calculate the remainder when 1536 is divided by 81.
78
What is the remainder when 664 is divided by 23?
20
Calculate the remainder when 74 is divided by 42.
32
What is the remainder when 54 is divided by 9?
0
Calculate the remainder when 452 is divided by 74.
8
Calculate the remainder when 2186 is divided by 100.
86
Calculate the remainder when 876 is divided by 37.
25
Calculate the remainder when 405 is divided by 132.
9
Calculate the remainder when 505 is divided by 156.
37
Calculate the remainder when 3610 is divided by 14.
12
Calculate the remainder when 88 is divided by 31.
26
Calculate the remainder when 1653 is divided by 12.
9
Calculate the remainder when 184 is divided by 96.
88
What is the remainder when 66 is divided by 29?
8
What is the remainder when 586 is divided by 45?
1
What is the remainder when 511 is divided by 129?
124
What is the remainder when 351 is divided by 32?
31
Calculate the remainder when 93 is divided by 24.
21
What is the remainder when 546 is divided by 116?
82
Calculate the remainder when 14679 is divided by 53.
51
Calculate the remainder when 237 is divided by 17.
16
Calculate the remainder when 273 is divided by 33.
9
Calculate the remainder when 267 is divided by 144.
123
What is the remainder when 190 is divided by 81?
28
What is the remainder when 870 is divided by 814?
56
Calculate the remainder when 1932 is divided by 5.
2
Calculate the remainder when 1133 is divided by 142.
139
Calculate the remainder when 526 is divided by 24.
22
What is the remainder when 116 is divided by 20?
16
Calculate the remainder when 905 is divided by 273.
86
What is the remainder when 111 is divided by 8?
7
Calculate the remainder when 662 is divided by 5.
2
Calculate the remainder when 74 is divided by 46.
28
Calculate the remainder when 393 is divided by 11.
8
What is the remainder when 700 is divided by 142?
132
Calculate the remainder when 180 is divided by 22.
4
What is the remainder when 9874 is divided by 79?
78
What is the remainder when 382 is divided by 4?
2
Calculate the remainder when 4919 is divided by 10.
9
What is the remainder when 236 is divided by 75?
11
Calculate the remainder when 148 is divided by 12.
4
Calculate the remainder when 235 is divided by 48.
43
Calculate the remainder when 13 is divided by 3.
1
Calculate the remainder when 1379 is divided by 136.
19
What is the remainder when 388 is divided by 15?
13
What is the remainder when 859 is divided by 145?
134
What is the remainder when 1238 is divided by 606?
26
Calculate the remainder when 2431 is divided by 176.
143
Calculate the remainder when 3598 is divided by 150.
148
What is the remainder when 2490 is divided by 89?
87
What is the remainder when 1483 is divided by 117?
79
What is the remainder when 267 is divided by 9?
6
What is the remainder when 162 is divided by 7?
1
Calculate the remainder when 259 is divided by 5.
4
Calculate the remainder when 90 is divided by 23.
21
What is the remainder when 595 is divided by 46?
43
Calculate the remainder when 12 is divided by 4.
0
Calculate the remainder when 220 is divided by 43.
5
What is the remainder when 4044 is divided by 3?
0
Calculate the remainder when 2222 is divided by 15.
2
What is the remainder when 244 is divided by 86?
72
Calculate the remainder when 552 is divided by 43.
36
What is the remainder when 833 is divided by 165?
8
Calculate the remainder when 2035 is divided by 60.
55
What is the remainder when 106 is divided by 54?
52
Calculate the remainder when 537 is divided by 138.
123
Calculate the remainder when 232 is divided by 30.
22
Calculate the remainder when 415 is divided by 47.
39
Calculate the remainder when 1331 is divided by 1317.
14
Calculate the remainder when 514 is divided by 128.
2
Calculate the remainder when 459 is divided by 113.
7
Calculate the remainder when 768 is divided by 226.
90
Calculate the remainder when 669 is divided by 131.
14
Calculate the remainder when 472 is divided by 48.
40
What is the remainder when 1078 is divided by 45?
43
Calculate the remainder when 599 is divided by 8.
7
What is the remainder when 556 is divided by 319?
237
What is the remainder when 161 is divided by 36?
17
What is the remainder when 163 is divided by 18?
1
What is the remainder when 21086 is divided by 33?
32
Calculate the remainder when 2489 is divided by 138.
5
What is the remainder when 214 is divided by 61?
31
What is the remainder when 477 is divided by 15?
12
What is the remainder when 3351 is divided by 39?
36
Calculate the remainder when 118 is divided by 13.
1
What is the remainder when 9071 is divided by 275?
271
What is the remainder when 426 is divided by 211?
4
Calculate the remainder when 925 is divided by 16.
13
What is the remainder when 8907 is divided by 1483?
9
What is the remainder when 786 is divided by 390?
6
Calculate the remainder when 1081 is divided by 135.
1
What is the remainder when 158 is divided by 33?
26
Calculate the remainder when 534 is divided by 290.
244
Calculate the remainder when 280 is divided by 86.
22
Calculate the remainder when 429 is divided by 71.
3
What is the remainder when 250 is divided by 242?
8
What is the remainder when 18 is divided by 13?
5
What is the remainder when 55 is divided by 30?
25
Calculate the remainder when 3986 is divided by 10.
6
Calculate the remainder when 524 is divided by 22.
18
Calculate the remainder when 114 is divided by 23.
22
What is the remainder when 500 is divided by 215?
70
Calculate the remainder when 297 is divided by 90.
27
What is the remainder when 31 is divided by 6?
1
Calculate the remainder when 142 is divided by 7.
2
What is the remainder when 236 is divided by 72?
20
Calculate the remainder when 395 is divided by 36.
35
Calculate the remainder when 176 is divided by 60.
56
What is the remainder when 9656 is divided by 30?
26
Calculate the remainder when 173 is divided by 95.
78
Calculate the remainder when 434 is divided by 40.
34
What is the remainder when 1427 is divided by 130?
127
Calculate the remainder when 57 is divided by 32.
25
Calculate the remainder when 1269 is divided by 8.
5
Calculate the remainder when 1868 is divided by 104.
100
Calculate the remainder when 213 is divided by 56.
45
What is the remainder when 390 is divided by 80?
70
What is the remainder when 25 is divided by 11?
3
What is the remainder when 81 is divided by 12?
9
Calculate the remainder when 43 is divided by 8.
3
Calculate the remainder when 192 is divided by 39.
36
Calculate the remainder when 507 is divided by 107.
79
What is the remainder when 139 is divided by 49?
41
Calculate the remainder when 84 is divided by 7.
0
What is the remainder when 5 is divided by 4?
1
Calculate the remainder when 478 is divided by 122.
112
What is the remainder when 2411 is divided by 500?
411
Calculate the remainder when 1507 is divided by 294.
37
Calculate the remainder when 1497 is divided by 744.
9
What is the remainder when 87 is divided by 74?
13
What is the remainder when 324 is divided by 166?
158
What is the remainder when 187 is divided by 39?
31
What is the remainder when 1080
|
{
"pile_set_name": "DM Mathematics"
}
|
be 3/(-4) - k/120. Let s = r + -2/105. What is the common denominator of -23/10 and s?
70
Suppose 0 = -3*r + s + 3*s + 52, -5*s + 70 = 3*r. Let c = 1644 - 2573. Let v = -901 - c. What is the least common multiple of r and v?
140
Calculate the common denominator of (10*9/9252)/((-18)/63) and -87/20.
5140
Calculate the common denominator of (-250)/1440*14 + 1 and (-84)/(-9) + -1 + 4 - 3.
72
Let s(k) = -4*k - 144. What is the least common multiple of s(-42) and 2/6 - (-45)/27?
24
Let y = -2725 - -11702/5. Suppose -2*s - 1935 = -5*g + 3*s, s - 1 = 0. Let m = y + g. Find the common denominator of 45 and m.
5
Calculate the common denominator of (-750)/450 - 203/(-102) and -61/170.
170
Find the common denominator of 167/840 and (16/(-56))/(-10*(-6)/(-1232)).
840
Let c = -5388 - -269381/50. Calculate the common denominator of c and -2/175.
350
Suppose 16*t = -3*t + 323. Suppose t*x = -7*x + 456. Calculate the smallest common multiple of 8 and x.
152
Let z = -70 + 517/7. Let v = 2854727/70 - 40781. What is the common denominator of z and v?
70
Suppose -75*r + 80*r = 100. Suppose 0 = -d + 5*d + o - r, 2*d - 32 = 5*o. Suppose 5*q = 16 + 29. Calculate the least common multiple of d and q.
18
Let c(j) = -404*j - 8146. Calculate the smallest common multiple of c(-73) and 10.
106730
Suppose -3*s + 35 = 5*q + s, -2*q = 5*s - 31. Suppose q*u + 7*u = 40. Calculate the least common multiple of u and 14.
28
Find the common denominator of (0 - -2932)*-8*85/334016 + 6 and 53/14.
4298
Suppose -2*k - 20*f + 21*f + 2384 = 0, 5926 = 5*k + 6*f. Calculate the smallest common multiple of k and 21.
3570
Suppose -10*i + 13*i - 42 = 0. Let c(h) = 2*h - 22. Let y be c(i). What is the smallest common multiple of 7 and (-15)/y*36/(-10)?
63
Let q = 522 - 522. Calculate the smallest common multiple of (45/(-6) - q)*32/(-6) and (-3)/(-1)*2/3.
40
Calculate the common denominator of -33 + 26 - (-2)/(-8)*-1 and -65/426.
852
Suppose -2 = 4*n - 2*i, -3*n - 30 = 2*n + 3*i. Let j be (4 - 3)*(-6 - n). Calculate the least common multiple of 40 and 21*j/(-9) - 1.
120
Find the common denominator of 37/165 and (-2552)/(-116)*((-98)/30 + 3).
165
Let s(z) = 37 - 14 - 10 + 7*z**2 - 15. What is the smallest common multiple of 12 and s(2)?
156
What is the lowest common multiple of 326 and (-9102)/(-164)*(-16)/(-12)?
12062
Suppose -2*z = -z - 17. Let q(p) = -p**2 - 11*p + 235. Let m be q(-21). Suppose -3*w = m*w - 84. What is the smallest common multiple of z and w?
51
Let m = -12243 + 12261. Suppose 2*o - 25 = -2*p + 1, -4*o + 57 = 3*p. Let q = 28 - o. Calculate the lowest common multiple of m and q.
90
Let u = 23 - 26. Let s be (4 + -3)*u + 42. Let g = s + -21. Calculate the least common multiple of 24 and g.
72
Calculate the lowest common multiple of 120/12 - (-130)/(-15)*-3 and 102.
612
Let c be (3 - 180/56)*29533/21. Let s = 306 + c. Find the common denominator of s and -149/42.
42
Let f be -7 - 934/(-70) - 5. Let m = f - -6/7. Let b = 2211/1060 - -14/53. What is the common denominator of m and b?
20
Suppose 0 = -13*s + 6*s + 9*s - 666. What is the smallest common multiple of s and 592?
5328
Suppose -4*w + 7*w + 174 = 0. Suppose -3*m = -6*m - 3*b + 204, 141 = 2*m + b. Let k = w + m. What is the smallest common multiple of k and 24?
120
Let o(t) = -t**3 - 11*t**2 + 10*t + 14. Suppose -5*f - 20 - 40 = 0. Let u be o(f). Suppose j - u = -11. What is the smallest common multiple of 15 and j?
135
Suppose -2*z + g = -8, z + 5*g - 50 = -4*z. Suppose 5*v - 2*j - 44 = 0, 136 - 123 = v + j. What is the lowest common multiple of z and v?
30
Let z = 6/311 - -10174/181935. What is the common denominator of z and -19/105?
4095
What is the common denominator of ((-28)/(-490) + (-6)/27)/(6/(-5)) and 32/1269?
8883
Suppose r = z - 53 + 4, z + 5*r - 25 = 0. Calculate the lowest common multiple of 570 and z.
1710
Let n = -6302 - -6414. What is the smallest common multiple of 3 and n?
336
Suppose 0 = -5*d - 0*j - j - 14, -4*j - 8 = -4*d. What is the common denominator of -101/18 and (5 - 3) + (122/(-4) - d)?
18
Let r = -33834 - -608905/18. Find the common denominator of r and 179/3600.
3600
Let p = -174/151 + 14513/4077. Calculate the common denominator of p and 25/7.
189
What is the smallest common multiple of (-6 + 1)*(1086/(-6) + 23 + -16) and 2?
870
Calculate the lowest common multiple of 6 and -52*4/16 + 301.
288
Suppose 0 = -10*y + 14*y - 2*s + 1124, 5*s - 299 = y. Let m = y - -285. Suppose 4*i - 75 = -i. What is the smallest common multiple of m and i?
30
Suppose -4*p = -30*v + 32*v - 12, 5*v - 12 = -4*p. Calculate the common denominator of 1/20 and v - (-27)/6*(-78)/(-684).
380
Let c be ((-25)/(-22536))/(30/79980). Let b = c + 22/313. Calculate the common denominator of -11/4 and b.
36
Let j = -275054870 + 8250868979/30. Let n = -7261 + -18640. Let p = j - n. What is the common denominator of -46/27 and p?
270
Let c = -1205 - -1209. Let b = -391 - -567. Calculate the lowest common multiple of b and c.
176
Let y = -315 + 2623. Calculate the least common multiple of y and 1154.
2308
Calculate the common denominator of (-190)/60 - (6 - 88/11) and 11/23.
138
Let c = -251 + 253. Suppose -c*y = 5*x + 46 - 290, 5*y = 10. Calculate the lowest common multiple of x and 24.
48
Suppose 3*z = 13*j - 18*j - 1, 4*j = 2*z - 14. Let r(b) = -13*b**3 - 2*b**2 - 4*b - 5. What is the least common multiple of 121 and r(j)?
1089
Calculate the common denominator of -67/798 and (-19340)/(-46512) + (-1146)/3247.
4788
Find the common denominator of (-2)/(-21) - 158432/880320 and 47/40.
5240
Suppose 4*p - 7*o = -10*o + 32, -5*o = 0. Let w(x) = -8*x - 117. What is the least common multiple of p and w(-16)?
88
Let y = 6679 + -6666. What is the least common multiple of 117 and y?
117
Suppose 2 = -2*b + 8, 2*o + b = -733. Let a = -354 - o. What is the lowest common multiple of a and 126?
126
Suppose 0 = 4*t - 9*t + 25, -25 = -s - 3*t. Let b(v) = -v**3 + 12*v**2 - 6*v - 30. Calculate the lowest common multiple of 8 and b(s).
440
Suppose -359 = -5*r - 9. Let w = -173 - -181. Calculate the smallest common multiple of r and 5/(10/w) - 0.
140
Let b(k) = -k**3 - 3*k**2 - 18*k - 12. What is the least common multiple of 125 and b(-2)?
500
Let f = 896/1149947 + -3320028311438/293236485. Let p = 11322 + f. Let w = -6658/1785 - p. What is the common denominator of 14/3 and w?
21
Let u be (15909/12 + -1)/(3/228). Suppose 14*p + u = -11039. Let w = 47755/6 + p. Calculate the common denominator of 65/24 and w.
24
Let w = -1100/93 - 1/186. Suppose 4*a - 5*h + 69503 = 0, 4*a + 52151 = a - h. Let v = 312973/18 + a. Find the common denominator of v and w.
18
Let g(s) = 14*s**2 - 10*s - 9. Suppose 23 - 16 = -7*p. What is the smallest common multiple of g(p) and (-1)/(((-4)/14)/2)?
105
Let l = -27 + 33. Suppose 28 = -4*f - 2*d + l*d, 3*d = -9. What is the smallest common multiple of 15 and (f/4)/((-1)/12)?
30
Let p = 222867/23965 - -3/9586. What is the common denominator of 43/2 and p?
10
Let t be -11 + (-649129)/312 - 2/(-3). Let m = -2087 - t. What is the common denominator of m and -95/88?
88
Suppose 4*g - 232 = 5*v, 0 = 2*v - 8*g + 3*g + 103. Let y = 10044/5 - 2001. Calculate the common denominator of (v/70)/(3/(-15)) and y.
35
What is the common denominator of -69/278 and 1/5*-1*(-59)/((-15576)/(-22220))?
834
Find the common denominator of (-2)/16*(-225)/(-12) and ((-10)/(-192)*(-63)/42)/(4/72).
32
Suppose -64*r + 63106 = -4734. Calculate the least common multiple of 180 and r.
9540
What is the common denominator of -47/5 and ((-2)/73 + 0)*(-3726)/(-2268)?
2555
Suppose -3*l - o - 227 = -8*l, 0 = 3*l - 3*o - 129. Calculate the lowest common multiple of l and (-88)/11 - (-28 - -8).
276
Let i be -1*5*(-852)/(-30). Calculate the common denominator of i/90 + (-12)/(-30) and 12/5.
45
What is the common denominator of ((-1178)/56 - (-20)/70)/((-45)/18) and -54/475?
950
Let x be (2 - 0) + 1863 + (-29 - -28). Find the common denominator of 63/110 and 1/(-3) + 1 - x/2904.
1210
Calculate the common denominator of -19/246 and (-12)/(-14) - 7/(3920/(-2964)).
2460
Suppose -2*x + 20 = -5*c + 2*x, -2*c = -2*x + 8. Calculate the common denominator of 87/4 and 20/(-6)*6/(-232)*c.
116
Let i be 92*((-3)/(-6) + 0). What is the common denominator of -69/80 and (-23)/(-4
|
{
"pile_set_name": "DM Mathematics"
}
|
hen 16 is divided by 4 + m/v - 4.
4
Let d(l) = -l + 83. Suppose -2*r - 87 = -29*u + 32*u, u = -5*r - 185. Calculate the remainder when d(r) is divided by 20.
19
Let d(j) = j**3 + 14*j**2 - 15*j - 46. Let l be d(-12). Suppose 472 = 2*q + l. What is the remainder when q is divided by 4?
1
Let l(j) = j**3 + 13*j**2 + 13*j + 14. Let z be l(-12). Suppose -242 = -z*x + 238. Let i = 384 - x. Calculate the remainder when i is divided by 37.
33
Let t = 152 - 107. Let g = -4144 + 4150. Suppose -9 - t = -g*j. What is the remainder when 80 is divided by j?
8
Suppose -5*r = -3*q + 1823, -5*r - 180 - 441 = -q. What is the remainder when q is divided by 122?
113
Let n(q) = 10*q - 7. Let d be n(0). Calculate the remainder when (-4)/14*d + 102 is divided by 15.
14
Suppose -2 + 0 = -2*z. Suppose 54*t + 6 + 48 = 0. What is the remainder when 80 is divided by z*3 - t*(28 + -3)?
24
Let b(x) = x**3 + 6*x**2 - 11*x - 13. Let v be b(-6). Let a = v + 249. What is the remainder when a is divided by 76?
74
Let s be (-1)/(((-5)/(-10))/((-98)/(-4))). What is the remainder when 332 is divided by 21/(-9)*-3 - s?
52
Let v be (28/35)/((-2)/(-20)). Let j(y) = y**2 - 4*y - 7. What is the remainder when j(v) is divided by (-2 - 0)/((-8)/36)?
7
Suppose -4*p + 326 = 2*o - 1292, 4*o + 5*p = 3248. What is the remainder when o is divided by 135?
7
Calculate the remainder when 434 is divided by -2 + 18 + (31 - 30).
9
Let a be 645/(-12) + (-2)/8. Let y = -52 - a. Suppose -x - 5*p = -2, -x + 5 + 0 = y*p. Calculate the remainder when 25 is divided by x.
4
Calculate the remainder when (4654/39)/((-24)/9 + 3) is divided by 23.
13
Let z(i) be the second derivative of 0*i**3 + 0*i**4 - i + 2*i**2 + 0 - 1/5*i**5. What is the remainder when 105 is divided by z(-2)?
33
Let l(n) = -n**3 + 21*n**2 - 36*n - 33. Let b be l(19). Suppose -80 = -4*c + 2*q, -5*c + 9 = -b*q - 91. What is the remainder when 76 is divided by c?
16
Let c(b) = -b**3 + 7*b**2 + b + 3. Let k = -406 - -437. Suppose 6*s - 4*m - 24 = 0, -5*s - 10 = -3*m - k. Calculate the remainder when c(7) is divided by s.
4
Let z(k) = -k**2 + 41*k + 114. Let i(g) = -g**2 - 17*g - 28. Let a be i(-10). Calculate the remainder when z(a) is divided by 146/10 - (-4)/10.
12
Suppose 2*s + 23*j = 20*j + 227, j + 207 = 2*s. What is the remainder when s is divided by 14?
8
Suppose 0 = -2916*k + 2909*k + 7245. What is the remainder when k is divided by 148?
147
Let a = -37 - -77. Let p be (4/6)/((-42)/(-20034)). Suppose -2*z + p = -0*z. Calculate the remainder when z is divided by a.
39
Suppose 33*u = 5*u + 26684. Let r = -826 + u. Calculate the remainder when r is divided by 116.
11
Suppose 5*k + 2 = -273. Suppose -5*p = -3*s + s + 135, 3*s + 2*p = 193. What is the remainder when s is divided by -2*(-3 + k/10)?
14
Let j = 6412 + -5943. What is the remainder when j is divided by 102?
61
What is the remainder when 0 + (-222)/(-3 + 1) is divided by (-152)/(-11) + 12/99*6/4?
13
Suppose p - 3 - 5 = 0. What is the remainder when 23 + (1 - -4 - 0) is divided by p?
4
Suppose -2*i - 72 = -q, 4*q + 21*i - 17*i = 228. Calculate the remainder when 2602 is divided by q.
60
What is the remainder when 876 is divided by (-1925)/(-175) + 100 + -1?
106
Let k be (495/(-6))/((-6)/8). Let y = k - 46. Suppose -5*f + y = -41. What is the remainder when 39 is divided by f?
18
Calculate the remainder when 83 is divided by 2576/138*(-9)/(-6).
27
Suppose 0 = -823*i + 754*i + 32430. What is the remainder when i is divided by 71?
44
Let u(y) = 5*y**2 + 36*y + 32. Calculate the remainder when u(-13) is divided by 67.
7
Suppose -744 = l - 7*l. Let r be l/(-8) - 6/(-4). Calculate the remainder when 53 is divided by (36/r)/(8/(-7) + 1).
17
Let w = 2905 + -1735. Calculate the remainder when w is divided by 69.
66
Suppose 6*b = 658 - 562. Calculate the remainder when 185 is divided by b.
9
Suppose 146 = 5*k - j + 17, -3*j = 12. Suppose 100*p + 169*p + 36*p = 5185. Calculate the remainder when k is divided by p.
8
Suppose -72 = -v + 5*g, 115 = 3*v - 2*g - 62. What is the remainder when 290 is divided by v?
5
Let z = -318 - -366. Suppose w - 44*b - 26 = -z*b, b = -3*w + 89. What is the remainder when w is divided by 27?
3
What is the remainder when (-10)/(-8) - (1 + 1395/(-20)) is divided by 26?
18
Let a be 15 - -307 - (-2 - -9). Calculate the remainder when -7*(-10)/a - 950/(-18) is divided by 37.
16
Let o(y) = -2*y**3 - 23*y**2 + 1702*y + 56. Suppose -s - 123 = -4*r, -r + 2*r + 2*s = 42. What is the remainder when r is divided by o(24)?
0
Let m be (-8)/(-3) + (-70)/42. Calculate the remainder when 33 is divided by ((4/(-6))/(-2))/(m/27).
6
Let p(v) = 336*v**2 + 47*v - 22. What is the remainder when p(3) is divided by 286?
283
Let w be 14 + (0 - 13) - -3*1. Suppose -f + w = -92. Calculate the remainder when f is divided by 58.
38
Suppose -27*r - 314620 + 315133 = 0. Suppose 0 = 5*k - 4*f - 37, -4*k + 2*f = -24 - 2. What is the remainder when r is divided by k?
4
Let w(k) = -3*k**2 + 29*k - 8. Let h = 455 + -311. Suppose h = 12*l + 36. What is the remainder when 26 is divided by w(l)?
6
Let l(o) = -o**3 + 7*o**2 - 2*o + 14. Let y be l(7). Suppose -2*u - 5*u + 427 = y. What is the remainder when u is divided by 1 + -4 + 3 + 8?
5
Let i = 6904 - 6874. What is the remainder when 12087 is divided by i?
27
Let f = -269 - -251. Calculate the remainder when 88 is divided by 5/(22/f + (-60)/(-45)).
43
Let q(r) = -r**2 - 114*r + 2163. Calculate the remainder when 3313 is divided by q(-130).
76
Let x(t) = 19*t**2 + 11*t + 16. Calculate the remainder when 169 is divided by x(-2).
29
Suppose -4*g + 504 = 4*q, 2*g - 386 = -3*q - 6. Let o(x) = -x**2 + 16*x - 27. Calculate the remainder when q is divided by o(8).
17
Let x(d) = -17*d + 74. Let v be x(6). What is the remainder when 67 is divided by -2 + -1 + 7/(v/(-80))?
16
Let s = -537 + 594. Calculate the remainder when s is divided by 18.
3
Let j = 376 - 262. Let o(w) = -2*w**2 + 31*w - 76. Let k be o(22). Let b = -333 - k. Calculate the remainder when j is divided by b.
27
Suppose t + 1 = 2*d, 5*d - 35 + 10 = -2*t. Suppose 188 = 4*g + t*q, 4*g - 161 = -3*q + 19. Calculate the remainder when 108 is divided by g.
24
Suppose 18 = o + 2*z - 34, 256 = 4*o - 4*z. Suppose 261 - o = 3*v. What is the remainder when v is divided by 18?
13
What is the remainder when 400 is divided by 12/2*(-8339)/(-1614)?
28
Let h = -38 - -35. Let j(t) = t**2 + 3*t. Let v be j(h). Calculate the remainder when 20 is divided by 8 + 1 + v + 0 + -2.
6
Let q(h) = h + 3. Let o(x) = 15*x - 106. Let s(p) = o(p) - 6*q(p). What is the remainder when s(27) is divided by 11?
9
Suppose 2*s + 0*s = a + 702, 5*a + 1745 = 5*s. Suppose -t - s = -4*n - 6*t, 5 = t. Calculate the remainder when n is divided by 21.
19
Suppose -i - 38 = -9. Suppose 14*u - 15*u + 38 = 0. Let g = u + i. What is the remainder when 14 is divided by g?
5
Let o(a) = 2*a**2 + 63*a + 69. Let u be o(-28). Let c = 172 + u. What is the remainder when c is divided by 10?
5
Let y = 214 + -112. Suppose 333*r - 588 = 305*r. Calculate the remainder when y is divided by r.
18
Suppose -28*z + 25*z = 3*j - 264, 0 = 2*j + z - 177. What is the remainder when 199 is divided by j?
21
Let o(x) = 3*x**2 - 19*x. Calculate the remainder when o(7) is divided by 14.
0
Suppose 0 = 333*x - 253*x - 510703 - 224737. What is the remainder when x is divided by 76?
73
Let c be (2 + -4 - -6) + 0. Suppose -c*m = -m - 51. Calculate the remainder when m is divided by ((-4)/12)/(69/(-1053)) + 46/(-529).
2
Let f(c) = c**3 + 31*c**2 - 32*c - 16. Let k be f(-32). Calculate the remainder when 373 is divided by 5 + 83/4 + 12/k.
23
Let m(t) = -3*t - 3. Suppose -2*o - 4*o = -24. Suppose 4*y - 5*u + u = 40, o*u - 20 = -2*y. Calculate the remainder when y is divided by m(-2).
1
Let a(y) = -14*y**2 + 139*y - 57. What is the remainder when a(9) is divided by 27?
6
Suppose -2*j - 3*x - 10 = -0*x, 2*x = 3*j + 2. Calculate the remainder when (j - (-22)/8)/((-8)/(-1056)) is divided by 26.
21
Suppose -3*k + 38873 = 2*h - 19664, 2*h = -5*k + 97563. What is the remainder when k is divided by 22?
21
Let f(d) = 52*d - 4. Let s be (2/(-4))/(8/(-96)). Suppose 156 + 78 = s*x. What is the remainder when f(3) is divided by x?
35
Let x be -6*6/(-162) - (-25)/9. Suppose -19*u = x
|
{
"pile_set_name": "DM Mathematics"
}
|
0.59 and -0.4?
-48288.236
What is -13636794 times 0.8?
-10909435.2
-2*-998.2012
1996.4024
Calculate 0.08*2.20908.
0.1767264
Work out 105 * -0.014444.
-1.51662
Calculate 29.71*-437.3.
-12992.183
Calculate -1*-104.21326.
104.21326
Multiply -13.3002 and -154.
2048.2308
Product of 12.8417 and -521.
-6690.5257
-461320 * -39
17991480
Work out 3.6 * 1517.3829.
5462.57844
-0.7772 * 2889
-2245.3308
-114 * 395964
-45139896
Calculate -1202*468766.
-563456732
Calculate 2.15365*9.
19.38285
Multiply -0.2 and -75585637.
15117127.4
Multiply -0.0734 and 8349.
-612.8166
Calculate 25617246.8*4.
102468987.2
Multiply -1046893 and -143.
149705699
What is the product of -3.5357 and -0.59?
2.086063
Calculate 0.6732*25120.
16910.784
32.86807 * -0.3
-9.860421
Calculate -3054*97404.
-297471816
Work out -14.396657 * -4.
57.586628
Product of -0.6432665 and 1.
-0.6432665
Calculate -15.7487*134.
-2110.3258
Multiply 0.38548 and -0.0978.
-0.037699944
What is the product of -0.0535 and 38.7?
-2.07045
Calculate -1*425483073.
-425483073
Calculate -3.72258*-0.0263.
0.097903854
Calculate 3898*111562.
434868676
Calculate -22.3491*-171.
3821.6961
What is the product of 0.4 and 21582.31?
8632.924
Work out -0.204 * 6366.
-1298.664
Multiply -8062 and 1401.
-11294862
Calculate 0.3*-3121553.48.
-936466.044
What is the product of -0.46 and 2006?
-922.76
What is the product of -11370160.63 and 0?
0
-3255990 times 1
-3255990
-0.07149154 times -0.5
0.03574577
Work out 11984.08 * -0.04.
-479.3632
Work out -89.1768 * 0.023.
-2.0510664
What is the product of -35406 and -333?
11790198
Multiply -8.1262 and 814.
-6614.7268
What is the product of 2362662 and 0.063?
148847.706
What is the product of -5460 and -11150?
60879000
0.37*-0.482819
-0.17864303
Multiply 6 and 44182516.
265095096
Calculate 668520*-0.62.
-414482.4
Work out 34 * -25335645.
-861411930
What is the product of 5 and -0.1130738?
-0.565369
Multiply 813982 and 0.2.
162796.4
Work out 6983.819 * 0.52.
3631.58588
Work out -0.5 * 5017.414.
-2508.707
-0.1348 * 405851
-54708.7148
Product of 113366.96 and 0.5.
56683.48
-17 * -36219
615723
What is -0.3883 times -268?
104.0644
Work out 392 * 6.3183.
2476.7736
Calculate 2*-88402.
-176804
0.9 times 118822454
106940208.6
Calculate -3*-29731.
89193
Calculate 5206190*-0.5.
-2603095
Calculate -1.2*4443928.
-5332713.6
-23484 * 199
-4673316
What is -77480049 times 0.2?
-15496009.8
221587242*0.5
110793621
-149441 * -10.36
1548208.76
-4 times 14133798
-56535192
Product of -3 and -9024209.
27072627
Work out -3 * 19756.579.
-59269.737
What is 0.4 times 17686409?
7074563.6
What is the product of -1.8570173 and -0.2?
0.37140346
What is the product of 16887 and 18?
303966
1.4759 * 849
1253.0391
What is the product of 0.3 and 130.12462?
39.037386
774116.1*0.2
154823.22
Work out 7 * -3322518.3.
-23257628.1
7795.513 times 0.5
3897.7565
Calculate -7123968*8.
-56991744
Multiply -64153.6 and 217.
-13921331.2
Multiply -72417 and 0.1581.
-11449.1277
35279 * 0.458
16157.782
152942 * 0.012
1835.304
What is the product of 20018.55 and -1.6?
-32029.68
Multiply 8.19942 and -0.78.
-6.3955476
5694 times -18.87
-107445.78
Calculate 2297*-5700.
-13092900
0.4 times -407302900
-162921160
Multiply -3.8 and 442178.
-1680276.4
0.23 * -2.78
-0.6394
Product of 0.58738 and 0.21.
0.1233498
What is 19318 times 3317?
64077806
-130974 * 38.13
-4994038.62
Product of -0.206 and -548.97.
113.08782
-36421*818
-29792378
-7039385 times -0.3
2111815.5
Multiply -138170477 and 0.
0
Multiply -3200 and -27205.
87056000
Calculate 1.346*-209306.
-281725.876
Multiply 42809707 and 1.
42809707
Work out -216761 * 2.81.
-609098.41
Work out -0.035604 * -0.4049.
0.0144160596
Multiply 2 and 0.02898515.
0.0579703
-554.2326 times 2
-1108.4652
2.6*828666
2154531.6
Multiply -0.9 and -398.41156.
358.570404
555.196 * 1583
878875.268
Work out -27130 * -891.
24172830
Product of 281.391 and -0.53.
-149.13723
Product of -535914.02 and 4.
-2143656.08
-0.17 * 117201
-19924.17
515838 times -3.2
-1650681.6
What is 3 times -4.2113929?
-12.6341787
What is the product of 0.2 and 12732838?
2546567.6
Product of 1101287066 and -0.4.
-440514826.4
What is the product of -10651 and -174?
1853274
Product of -201 and 5143737.
-1033891137
Product of 0.5 and 4438059.
2219029.5
What is 4 times 2084729?
8338916
Product of 1847924.6 and -0.3.
-554377.38
-1856400 * -183
339721200
Calculate -5782*-6937.
40109734
What is 3.47959 times 42?
146.14278
563 * -107673.2
-60620011.6
Multiply 953 and 2113.7.
2014356.1
Work out 0.248780058 * -2.
-0.497560116
Product of 60 and -246692.
-14801520
4490 * -44.717
-200779.33
997129 times -0.3
-299138.7
1056 * -1270
-1341120
Multiply -2609209 and -0.1.
260920.9
557 * -28462
-15853334
Product of -1871.62 and 0.8.
-1497.296
-155884 * 86
-13406024
What is the product of 4 and -2436809?
-9747236
Work out 54 * 109532.
5914728
What is 6.6827 times 99?
661.5873
What is the product of -443 and -0.0309448?
13.7085464
Work out -108 * -2096.
226368
Multiply 1065200 and 26.
27695200
What is 423.11481 times 3?
1269.34443
Multiply -0.3 and 39670661.
-11901198.3
Multiply -0.3 and -3644750.
1093425
Work out 0.4 * 342.28219.
136.912876
10925827 times 0.1
1092582.7
Calculate 8*861639.
6893112
What is the product of 0.03 and -761.42534?
-22.8427602
Calculate 436*-28786.
-12550696
Calculate -14*-146.3276.
2048.5864
Multiply -0.340729 and 1.4.
-0.4770206
Product of -11.128206 and 0.5.
-5.564103
What is -5 times 3.67319?
-18.36595
What is 33440643 times 4?
133762572
Multiply -96858 and 697.
-67510026
Product of 2344401 and -0.174.
-407925.774
What is the product of -1496816 and 0.14?
-209554.24
0.011 times -20.5123
-0.2256353
-281305 * 2.36
-663879.8
-389.2*26055
-10140606
Work out 5 * -762584.
-3812920
Multiply -133607.2 and 137.
-18304186.4
What is the product of 21.1 and 0.774392?
16.3396712
Product of -300482 and -4.1.
1231976.2
Calculate -2076.39*8.8.
-18272.232
-939.429 * -8.9
8360.9181
1.727 times -75867
-131022.309
What is the product of -19964 and -4214?
84128296
31 * -578.43
-17931.33
-4654 * 333.3
-1551178.2
What is the product of 56152 and 0.87?
48852.24
Product of -1129 and 34.97.
-39481.13
Multiply -4 and 1646390.
-6585560
What is the product of -0.036 and -159993?
5759.748
-0.3*-8398570
2519571
What is -0.2271 times 0.056785?
-0.0128958735
Product of -2566.07 and 49.
-125737.43
Calculate -12853770*-1.2.
15424524
Multiply 0.006606908 and -0.1.
-0.0006606908
-0.86567 times -2194
1899.27998
Work out 484.86428 * 4.
1939.45712
What is the product of -2415723 and -0.84?
2029207.32
34986*1.582
55347.852
511 * -18.25
-9325.75
Calculate 0.0027*-387.888.
-1.0472976
What is the product of -0.2629 and 30003?
-7887.7887
Multiply 488339 and -0.01.
-4883.39
-63.99*-63497
4063173.03
What is -25316 times -2.56?
64808.96
Work out -85 * -145.219.
12343.615
Calculate -1.43*0.03904412.
-0.0558330916
-0.5 times -25632673
12816336.5
Product of -1109 and -3913.
4339517
417 * 3.344
1394.448
-0.103566*-42
4.349772
23 * -5394373.5
-124070590.5
Work out 7968 * 287.1.
2287612.8
Calculate 0.049343764*-1.6.
-0.0789500224
Calculate 0.4*-536.107.
-214.4428
Work out -52862737 * -0.4.
21145094.8
Calculate 30548970*2.
61097940
Product of 1.463 and 9.5706.
14.0017878
What is -0.56 times 6.8575?
-3.8402
Product of 0 and -19.630918.
0
-97 times -3.24133
314.40901
Multiply 23469.10343 and 0.2.
4693.820686
Calculate 49377*-64.
-3160128
4 times -11319102
-45276408
Multiply -971.3 and -5137.
4989568.1
Calculate 807171*0.05.
40358.55
4425092*1
4425092
Multiply 1351 and -18133.
-24497683
What is 3.6 times 0.0630003?
0.22680108
What is the product of 59.739 and 1.07?
63.92073
What is the product of -0.75985307 and 3?
-2.27955921
Product of -7 and -284758.
1993306
Multiply -2719.621 and 0.
0
Multiply -565.7 and -19662.
11122793.4
Multiply -272204.3 and 2.6.
-707731.18
Product of -2 and 0.074651799.
-0.149303598
What is the product of -78 and 254024?
-19813872
Calculate -20.46*-1584.
32408.64
Work out 1 * 2.6453322.
2.6453322
Calculate 25*260058.
6501450
Product of -9601 and 0.47.
-4512.47
Product of 3 and 120248189.
360744567
5*-360465
-1802325
518.7 times -1035
-536854.5
What is the product of 0.14672 and -295?
-43.2824
Work out -1 * 25781415.
-25781415
Product of 2169 and -0.4376.
-949.1544
What is t
|
{
"pile_set_name": "DM Mathematics"
}
|
to the nearest one thousand.
32000
Let u be (-2)/(-5) - 1/(-5)*-2. Suppose u*t - 19*t = 188100. What is t rounded to the nearest 10000?
-10000
Let k = -1409 + 618. Let h = k - -790.76022. Let a = h - -0.24. What is a rounded to 4 dps?
0.0002
Let t = -21.4 - -20. Let m = 9.4 + t. Let p = m + -8.0001. Round p to four decimal places.
-0.0001
Suppose z + 4*x + 2 = 1, -5 = 5*z - x. Let j(m) = -3*m**2 - m. Let p be j(z). Let v be (-9)/(-2)*p - -2. What is v rounded to the nearest integer?
-7
Let a = -27487 - -14243. Let j = 126244 + a. What is j rounded to the nearest 10000?
110000
Let j = -0.41 - 12.59. Let o = j - -12.958. Round o to two decimal places.
-0.04
Suppose -5*g = -5*l + 7 + 108, -3*g = -12. Let d = l + -22. Suppose -d*n = -2*n - 84. What is n rounded to the nearest ten?
30
Let r(g) = -671*g**3 - 4*g**2 + 6*g - 1. Let u be r(1). What is u rounded to the nearest 1000?
-1000
Let c = 2001 + -7261. Round c to the nearest 100.
-5300
Let a = 847 - 849.928. Let d = a - -3. What is d rounded to two dps?
0.07
Let q = 4479.4 + -4949. Let w = q + 92.6. Let a = w - -377.0223. What is a rounded to three dps?
0.022
Suppose 5*n = -4*a - 1101366, 8*n + 660820 = 5*n - 2*a. Let u = -140326 - n. Let t = -269948 + u. What is t rounded to the nearest one hundred thousand?
-200000
Let l = -46883 + 152483. Let g be 4/(-5)*30/(-3). Suppose g*w + l = 2*w. Round w to the nearest 1000.
-18000
Let s be 4/(-24)*3*-6. Suppose y + 249 = s*y + u, -5*y - 4*u = -624. Round y to the nearest ten.
120
Let w = -780 - -779.8334. Round w to 2 decimal places.
-0.17
Let y = -83.6 - -83.5619. Round y to two decimal places.
-0.04
Let w = -368115029275 + 368114682479.299997. Let z = 346787.7 + w. Let t = z + 8. What is t rounded to 6 dps?
-0.000003
Let g = 6 - 7.4. Let y = g + 1.4. Let q = y - -0.0000045. What is q rounded to six decimal places?
0.000005
Let q = -0.011 - 46.989. Let x = -46.847 - q. Let v = 0.015 + x. Round v to 2 dps.
0.17
Let g = -37 + 4. Let i = 33.13 + g. Let w = i - 0.071. What is w rounded to two dps?
0.06
Let m = -0.0331 - 0.2631. What is m rounded to one decimal place?
-0.3
Let d = -99 + 98.999729. Round d to 5 decimal places.
-0.00027
Suppose -88*p + 92*p - 3092 = 0. Round p to the nearest ten.
770
Let x = 4 - -9. Let k = x + -12.959. Round k to three decimal places.
0.041
Let b = 3.49 + -3.4024. Round b to 1 decimal place.
0.1
Let i = 44.9 + -46. Let w = i - 5.2. Round w to the nearest integer.
-6
Suppose -s - 22 = -3*s. Let t = -8 + s. Suppose 3 = t*d, 0 = -4*j + 2*d - 7*d + 3045. What is j rounded to the nearest one hundred?
800
Let b = 0.03 - -1.97. Let i = b + -1.943. What is i rounded to two dps?
0.06
Let z = -30.036 + 0.036. Let n = z - -30.133. What is n rounded to 2 decimal places?
0.13
Let k = -430 - -1054. Suppose 5*y - r + 333 + 447 = 0, k = -4*y - 3*r. What is y rounded to the nearest 10?
-160
Let g = -601823 - 8177. Round g to the nearest 10000.
-610000
Let q = 7 - 4. Suppose 4*i - 1687 = -q*r, r - 2*i = 6*r - 2807. Let m = -1481 + r. What is m rounded to the nearest one hundred?
-900
Let k = -15000 + 14999.3699. What is k rounded to two dps?
-0.63
Let n = 5.896 + -0.096. Let s = n + -5.8042. Round s to 3 dps.
-0.004
Let c = 4907369 + -4907416.09753. Let p = c - -47.1. Round p to three decimal places.
0.002
Let w = -0.041 + 87.041. Let y = w - 97.2. What is y rounded to 0 decimal places?
-10
Let n = -6.32 + 273.32. Let z = 266.881 - n. Let i = 0.689 + z. What is i rounded to 1 decimal place?
0.6
Let o = 1132 + -1127.776. Let a = o - 4.2. What is a rounded to 2 decimal places?
0.02
Let z = 33.795 + -37. What is z rounded to one dp?
-3.2
Let b = -554127 - -554127.01000036. Let z = -0.01 + b. Round z to seven dps.
0.0000004
Suppose -15*o - 1264 + 3064 = 0. What is o rounded to the nearest 100?
100
Let g = -54.8 - -54.806344. Round g to 4 decimal places.
0.0063
Let n = -0.0475708 - -0.0474. What is n rounded to 5 dps?
-0.00017
Let x = -1769 + 794. Let q = -514 - x. Suppose -k + q = -1179. What is k rounded to the nearest 100?
1600
Suppose -v - 5*h - 1135 = -326, 2*v = -2*h - 1602. Round v to the nearest one hundred.
-800
Let r = 680.69 - -10.31. Let i = r + -690.473. Round i to one dp.
0.5
Let u = 0.129 - 4.989. What is u rounded to the nearest integer?
-5
Let x = -228.0861 - -205.475. Let f = 0.002 + 22.598. Let h = x + f. Round h to 3 decimal places.
-0.011
Let f = 1.8459 + -1.8451401. Round f to five dps.
0.00076
Let a(g) = -163*g**2 - 6*g + 3. Let i(r) = r**2 - 7*r - 8. Let c be i(7). Let k be a(c). Let y = k - -4381. What is y rounded to the nearest 1000?
-6000
Let m = 0.0284 - -0.0298. What is m rounded to 2 dps?
0.06
Let d = -10 - -11.42. Let s = d - 35.92. What is s rounded to the nearest ten?
-30
Let f = 152.50373 - 152.41. What is f rounded to three dps?
0.094
Let b = 0.01 + 1.99. Let y = -0.9 + b. Let d = y + -0.95. What is d rounded to one dp?
0.2
Let d = 107568 - 107567.6855925. Let o = d - 0.3544. Let g = o + 0.04. Round g to 6 dps.
0.000008
Let j(k) = -k**3 + 5*k**2 - 2*k - 5. Let y be j(4). Suppose -12 = -5*p - y*b - 0*b, -b = -2*p + 7. Let s be ((-4)/p)/(2/6). What is s rounded to zero dps?
-4
Let j = -24.71 - -1.34. Round j to the nearest integer.
-23
Let q = 14 + -12.8. Let b = q + -0.18. What is b rounded to 1 dp?
1
Let x = -0.021 - 0.1321. Round x to two dps.
-0.15
Let y be 1 - (-3 + -100809 + 2). Let l = y - 32811. Suppose 6*p = 5*p - l. Round p to the nearest ten thousand.
-70000
Let k = -31 - -30. Let u = -148010.59999875 - -148009.6. Let y = k - u. Round y to 7 decimal places.
-0.0000013
Suppose -2*g - 10 = 0, -4*q + 5*g + 120800010 = 3*g. Round q to the nearest one million.
30000000
Let y = 87 - 86.99044. What is y rounded to 4 dps?
0.0096
Let a be 3/(-6)*0 - -8. Let j be 400/((a/22)/(52 - 2)). Round j to the nearest ten thousand.
60000
Let u = 15654498 + -15654173.55922. Let b = u - 350.440726. Let m = b - -26. What is m rounded to 5 dps?
0.00005
Suppose 5*h - 4*f - 36 = -8, 0 = 4*h - f - 29. Let v be h/52 - 1088/(-26). Suppose -v = 5*t - 12. Round t to the nearest 10.
-10
Let z = 22783 - 22502.37. Let m = z + -279. Let g = m - 1.6201. Round g to three decimal places.
0.01
Let t = 155.923 - 156. Let i = t - 1.483. What is i rounded to one decimal place?
-1.6
Let c = -173590.6 - -173597.2332285. Let t = 2.7732076 - c. Let h = 3.86 + t. What is h rounded to six decimal places?
-0.000021
Let w = 5319 - 5319.00008681. What is w rounded to 6 dps?
-0.000087
Let l = 21.4 + -19. Let d = -1 + l. Let m = d + -1.39991. Round m to five dps.
0.00009
Let z be ((-1211)/(-14) - -6)*-1080. What is z rounded to the nearest 10000?
-100000
Let k be (-541000)/6*6/7*7. What is k rounded to the nearest 10000?
-540000
Let i = 8.097 + -492.397. Round i to the nearest ten.
-480
Suppose 2*y + 22*y = 6520800. Round y to the nearest 10000.
270000
Suppose 0 = -8*x + 40276 + 53852. Suppose -x = m + 6434. What is m rounded to the nearest ten thousand?
-20000
Suppose 4*k = w + 98845, -5*k + 10*w - 5*w + 123575 = 0. Round k to the nearest one thousand.
25000
Let y = -247150 + 418150. What is y rounded to the nearest 100000?
200000
Let i(s) = 1862222*s**2 + 2*s - 4. Let d be i(3). What is d rounded to the nearest one million?
17000000
Let s = 758.6463512 + -723.04634769. Let m = s - 35.6. What is m rounded to seven decimal places?
0.0000035
Let a = 480.599997903 - 480.6. What is a rounded to 7 dps?
-0.0000021
Let n = 284 + -193. Let a = n - 91.0489. What is a rounded to three decimal places?
-0.049
Suppose -3*n + 120 = -15*n. Let y be 900001 - (n/25)/(4/(-10)). Round y to the nearest one hundred thousand.
900000
Let g = 13 - 12.4. Let c = -2 + 1. Let l = g - c. Round l to 0 decimal places.
2
Let s = 13 + -3. Suppose 30 = s*r - 15*r. Let q be 100002 + (-4)/r*-3. What is q rounded to the nearest 1000000?
0
Let f be (-97)/(-9) + (-2)/(-9). Let o = 12 - f. Let u(r) = 3299999*r + 1. Let p be u(o). Round p to the nearest one million.
3000000
Let o = -3059336059 - -3059335747.0000201. Let r = o - -312. Round r to five decimal places.
0.00002
Let k = 344 - 344.00013012. What is k rounded to six decimal places?
-0.00013
Suppose -8032 = 5*o + 3368. Let n be (-1)/((-14)/o)*(5 - -2). What is n rounded to the nearest 100?
-1100
Let a = -19508 - 107492. What is
|
{
"pile_set_name": "DM Mathematics"
}
|
*j
Collect the terms in -245 + 85 + 8 + 7*f + 61.
7*f - 91
Collect the terms in -11727*k**2 + k**3 - 10527*k**2 + 32782*k**2 - 10528*k**2.
k**3
Collect the terms in -29*h + 49836301 + 25*h - 241*h - 49836301.
-245*h
Collect the terms in 385 - 3*m - 1902 + 234.
-3*m - 1283
Collect the terms in 132 - 2325*v - 158 + 2327*v + 668.
2*v + 642
Collect the terms in -4 + 2 + x - 2*x + 27633*x**3 - 39*x**2 + 0.
27633*x**3 - 39*x**2 - x - 2
Collect the terms in 5353*d**2 + 3150*d**2 + 845*d**2.
9348*d**2
Collect the terms in 68281*m**2 + 4755*m**2 - 17893*m**2 - 438*m**2 + 37896*m**2.
92601*m**2
Collect the terms in -4239 + 5061*f + 4239.
5061*f
Collect the terms in 5315*z**2 - 5349*z**2 - 510*z + 510*z.
-34*z**2
Collect the terms in -838*p - 848*p - 845*p - 854*p - 854*p + 4262*p.
23*p
Collect the terms in -667641*x**3 - 667624*x**3 + 1335236*x**3.
-29*x**3
Collect the terms in -c**3 + 12*c - 1485*c**2 + 1507*c**2 + 0*c**3.
-c**3 + 22*c**2 + 12*c
Collect the terms in 328888341 - 328888341 + 40*o.
40*o
Collect the terms in 3*b**2 - 5118086 - b**2 + 0*b + 0*b.
2*b**2 - 5118086
Collect the terms in -5*q + 9*q + 64*q**3 - 9*q**3 - 8.
55*q**3 + 4*q - 8
Collect the terms in -55828*k - 24397*k + 21670*k.
-58555*k
Collect the terms in -706*q - 667*q - 1 - 4341*q + 1.
-5714*q
Collect the terms in -396328*x + 792082*x - 395754*x - 4*x**3.
-4*x**3
Collect the terms in 215624*o + 39*o**2 - 433038*o + 217414*o.
39*o**2
Collect the terms in -10447*o**3 + 21881*o**3 - 10798*o**3.
636*o**3
Collect the terms in -32*s + 4460 + 4814 + 5*s**2 - 2304 - 4*s**2.
s**2 - 32*s + 6970
Collect the terms in -487 - j + 67 - j + 142 + 104 + 103.
-2*j - 71
Collect the terms in -10007*r**3 + 30034*r**3 - 10007*r**3 - 9980*r**3.
40*r**3
Collect the terms in -2061*t - 43*t**2 + 946*t + 1115*t.
-43*t**2
Collect the terms in 293*t**2 - 559*t**2 + 65*t**3 - 102 + 102 + 266*t**2.
65*t**3
Collect the terms in -13900912*v + 13900912*v - 22*v**3.
-22*v**3
Collect the terms in 3*b**3 + 2*b**2 - 2*b**2 - 222936*b + 74314*b + 74310*b + 74312*b.
3*b**3
Collect the terms in h - 105 + 14 - 140 - 119*h**2 + 35.
-119*h**2 + h - 196
Collect the terms in 102612*c**3 + 102613*c**3 + 35 - 7 - 28 - 205228*c**3.
-3*c**3
Collect the terms in -r - 65163062 + r + 3*r**2 + 65163062.
3*r**2
Collect the terms in 28*d**2 - 181*d**2 + 0 + 36*d**2 + 131*d**2 - d + 0.
14*d**2 - d
Collect the terms in 2404 - 2134*y - 4805 + 2401.
-2134*y
Collect the terms in -3*x + 34*x - 312987 + 312990.
31*x + 3
Collect the terms in -20568 - 54785 + 8*j**2 - j**2 - 6*j**2 - 4399.
j**2 - 79752
Collect the terms in -7298*a**2 - 7314*a**2 - 7365*a**2 + 21977*a**2 + 5*a**3.
5*a**3
Collect the terms in 21022*b - 38*b**2 - 21018*b - 64*b**2 + 12*b**2.
-90*b**2 + 4*b
Collect the terms in 1422*d + 27 + 9 - 43.
1422*d - 7
Collect the terms in -861657*r**2 + 101*r - 187*r + 86*r.
-861657*r**2
Collect the terms in u**2 + 17*u**2 + 1605 - 162 - 15*u**2 - 1443.
3*u**2
Collect the terms in -36*z + 2*z**2 + 49 + 4*z**2 - 9*z**2 - 2*z**2 - 98 + 48.
-5*z**2 - 36*z - 1
Collect the terms in 190*i - 74*i - 1 - 75*i - 43*i + 7.
-2*i + 6
Collect the terms in -126026*w - w**2 + 63077*w + 63028*w.
-w**2 + 79*w
Collect the terms in 23393*p - 17544*p - 11599*p.
-5750*p
Collect the terms in 4 + 27*s**2 - 9*s**2 + 9 - 22 - 3*s**2 - 7*s**2.
8*s**2 - 9
Collect the terms in 2937*o - 5348*o + 2810*o + 1361*o.
1760*o
Collect the terms in -110*b - 86*b**2 + 110*b - 793815*b**3 + 86*b**2.
-793815*b**3
Collect the terms in 22706*r**3 + 178 - 45404*r**3 + 22697*r**3.
-r**3 + 178
Collect the terms in -10823*y - 11462*y - 11462*y + 33752*y.
5*y
Collect the terms in -345*x**2 - 221*x**2 + 3*x - 3*x - 225*x**2 + 982*x**2.
191*x**2
Collect the terms in -277195170 - 6*r + 554390301 - 277195131.
-6*r
Collect the terms in -8*o**3 - 69 + 69 + 11*o**3 + 3*o**3.
6*o**3
Collect the terms in -7864000*q + 15728011*q - 7864009*q.
2*q
Collect the terms in 0*y**3 - y**3 + 279*y**2 - 271*y**2 + 11*y**2 + y**2 - 20*y**2.
-y**3
Collect the terms in -10976*b**2 + 21947*b**2 - 3 - 10968*b**2 + 20.
3*b**2 + 17
Collect the terms in 2 - 23040*v**2 - 2 + 38422*v**2.
15382*v**2
Collect the terms in -947401*h - 16 + 16 + 947397*h.
-4*h
Collect the terms in -147335*f**2 + 3435*f - 3435*f.
-147335*f**2
Collect the terms in -26*w - 70*w - 30*w + 213*w - 37*w - 29*w - 19*w.
2*w
Collect the terms in -25*f - 426 - 428 - 67*f**3 + 25*f + 854.
-67*f**3
Collect the terms in 145499*r + 145414*r - 290916*r.
-3*r
Collect the terms in -339305*f + 169461*f + 169830*f.
-14*f
Collect the terms in -513*k - 10126*k + 8334*k - 27339*k.
-29644*k
Collect the terms in -1604*g**2 - 1 - 79*g**3 + 87*g**3 + 1604*g**2 - 4.
8*g**3 - 5
Collect the terms in 137254622*j**3 + 137254618*j**3 + 3*j**2 - 274509234*j**3 - 2*j**2 - j**2.
6*j**3
Collect the terms in 1649 + 13*n + 6*n + 773.
19*n + 2422
Collect the terms in -2563768*m**3 - 4*m + 2563766*m**3 + 4*m.
-2*m**3
Collect the terms in 219*n - 13*n**2 + 214*n + 222*n - 874*n + 219*n.
-13*n**2
Collect the terms in 9109*h - 472 - 2*h**3 - 9148*h - 19 + 3*h**3.
h**3 - 39*h - 491
Collect the terms in 87 + b + b - 313 + 82 + 224 + 78.
2*b + 158
Collect the terms in 6*c**2 + 6262 - 7170 + 908.
6*c**2
Collect the terms in -633 - 1010 - 7529 - 287*c.
-287*c - 9172
Collect the terms in -24070*b - 23926*b + 48306*b.
310*b
Collect the terms in 194150*a**2 + 168588*a**2 - 362742*a**2.
-4*a**2
Collect the terms in 2*h**2 + 2600181805*h - 2600181920*h + 0*h**2.
2*h**2 - 115*h
Collect the terms in 1225 + 182 + 149 + 2*q - 1451.
2*q + 105
Collect the terms in 378*j - 259*j - 582*j - 4 - 5.
-463*j - 9
Collect the terms in -275 + 548 - 277 + 1432*k.
1432*k - 4
Collect the terms in -1752 + 4127 + 2*f**2 - 2375 + 15*f**2.
17*f**2
Collect the terms in 82 - 2834*a**2 - 43 - 44 - 21*a.
-2834*a**2 - 21*a - 5
Collect the terms in -d**2 + 20*d**2 - 19*d**2 + 2*d**2 - 3*d**2.
-d**2
Collect the terms in -2 - 238974748*u**2 - 13 + 238974750*u**2.
2*u**2 - 15
Collect the terms in -19079*u - 21079*u + 37799*u.
-2359*u
Collect the terms in 32*c - 224*c**2 - 31*c - 387*c**2 - c.
-611*c**2
Collect the terms in 11*l**2 - 4623*l - 55403 + 55403 + 4589*l.
11*l**2 - 34*l
Collect the terms in o + 3658 + 3682 + 3694 - 11006.
o + 28
Collect the terms in -28*y**3 - 37*y**3 + 78*y**3 - 18*y**3 - 9*y**3 - 28*y**3.
-42*y**3
Collect the terms in -706*i + 0*i**2 + 16*i**2 - 21*i**2 + 3*i**2 - 10*i + 2.
-2*i**2 - 716*i + 2
Collect the terms in -38 - 1396454*w + 38.
-1396454*w
Collect the terms in -2*y**2 + 12*y**2 + 0*y**2 + 607 - 11657.
10*y**2 - 11050
Collect the terms in -13*h + 42*h - 23*h + 103*h + 99*h.
208*h
Collect the terms in -638390*w + 752428*w**2 + 638390*w.
752428*w**2
Collect the terms in 111*m**2 - 137*m**2 + 2*m - 125*m**2 + 151*m**2 + 2*m**3.
2*m**3 + 2*m
Collect the terms in -1412 - 1010 + 3812 - 1390 + 3*m**2.
3*m**2
Collect the terms in -428819*d - 428799*d + 857643*d.
25*d
Collect the terms in 8566*n**3 - 2728*n**3 - 3053*n**3 - 3029*n**3.
-244*n**3
Collect the terms in -5*k + 198 + k + k - 103 - 4*k + 6*k.
-k + 95
Collect the terms in l - 420827*l**3 + 210934*l**3 - l + 209892*l**3.
-l**3
Collect the terms in 133 + 17*h + 138 - 265.
17*h + 6
Collect the terms in -10491542 + 10491542 - 178027*g.
-178027*g
Collect the terms in -13635*c - 13622*c + 40911*c - 3 - 13644*c.
10*c - 3
Collect the terms in 499533*i**2 - 240046*i**2 - 249991*i**2.
9496*i**2
Collect the terms in 3*g**3 + 13*g**3 + 97436 + 15961 + 162205.
16*g**3 + 275602
Collect the terms in 5372 + 7528 + 2*j**2 - 12900.
2*j**2
Collect the terms in 7598*d + 7440*d - 22357*d + 7645*d.
326*d
Collect the terms in 17*q**2 - 8*q**2 - 9*q**2 + 33*q**2 - 15*q**2.
18*q**2
Collect the terms in 3599*y**2 - 7 + 2*y + 3587*y**2 - 7181*y**2.
5*y**2 + 2*y - 7
Collect the terms in -13296*l**2 - 9811*l**2 + 23110*l**2.
3*l**2
Collect the terms in -1834*s**3 + 2655*s**3 - 1419*s**3.
-598*s**3
Collect the terms in 36265*m**2 + 24502*m**2 - 968943*m**2 - 70099*m**2.
-978275*m**2
Collect the terms in -237*m + 24*m - 1 + 31*m + 29*m + 61*m + 41*m.
-51*m - 1
Collect the terms in 821*i - 5*i**3 - 7406*i - 17582*i.
-5*i**3 - 24167*i
Collect the terms in -1901385*n**3 - 1901391*n**3 - 1901391*n**3 - 1901388*n**3 + 7605554*n**3.
-n**3
Collect the terms in -8128*s +
|
{
"pile_set_name": "DM Mathematics"
}
|
1556*w**7/105 - 101*w**5/30 + 5*w**3/3 - w**2 + w + 152. Find the third derivative of t(m) wrt m.
74688*m
Suppose 18*l = 8*l - 120. Let o = l + 16. Find the third derivative of -26*m**o + 41*m**4 + 11*m**2 - 24*m**4 wrt m.
-216*m
Let r(d) = 133*d**3 - 1374*d**2 + 20*d - 4. Let x(b) = 132*b**3 - 1375*b**2 + 25*b - 5. Let h(q) = -5*r(q) + 4*x(q). What is the third derivative of h(a) wrt a?
-822
Let m(w) be the third derivative of -245*w**6/24 + 727*w**4/24 + 52*w**2. What is the second derivative of m(f) wrt f?
-7350*f
Let n(w) be the third derivative of -37/30*w**5 + 20*w**3 + 0*w + 0 - 35*w**2 + 0*w**4. Differentiate n(d) wrt d.
-148*d
Let a(q) be the first derivative of 1602*q**5/5 + 3429*q - 4100. What is the first derivative of a(k) wrt k?
6408*k**3
Let j(f) be the first derivative of -2067*f**2 - 1656*f - 4955. Find the first derivative of j(c) wrt c.
-4134
Let x(u) be the second derivative of -3*u**6/10 + 2*u**4/3 - 209*u**3/6 + 926*u. Find the second derivative of x(c) wrt c.
-108*c**2 + 16
Let q(z) be the first derivative of -21*z**5/5 + 4*z**4 + z**2 + 4082*z - 3674. What is the first derivative of q(c) wrt c?
-84*c**3 + 48*c**2 + 2
Suppose 8*g + 2 - 18 = 0. What is the third derivative of -32*x**2 + 17*x**g + x**3 + 5*x**2 - 3*x**3 - x**4 wrt x?
-24*x - 12
Let n be -8 + 35/(-10)*(-8)/14. Let z be n/10 - 18/(-5). Find the second derivative of 5*f**3 + 3*f**z - 79*f + 60*f wrt f.
48*f
Let a(r) = r**4 - r**3 - 4. Let k(p) = 994*p**4 - 2*p**3 - 1131*p - 8. Let m(i) = 2*a(i) - k(i). Find the second derivative of m(g) wrt g.
-11904*g**2
Let i(r) be the second derivative of -61*r**7/42 - 2*r**6/15 - 19*r**4/12 - r**3/3 + 16*r - 10. Find the third derivative of i(p) wrt p.
-3660*p**2 - 96*p
Let o(b) be the third derivative of -93*b**6/20 + 907*b**5/60 - 4*b**2 + 31. Find the third derivative of o(g) wrt g.
-3348
Find the second derivative of 1564*k**2 + 2379*k**2 + 1947*k**2 + 13*k - 16*k - 95 wrt k.
11780
Let l be 158/20 + 8 + (-504)/60. Let m(i) be the first derivative of -12 + l*i**2 + 10*i. Differentiate m(w) with respect to w.
15
Let x(p) be the third derivative of 43*p**2 + 0 - 1/24*p**4 + 0*p + 3/10*p**5 - 11/2*p**3. What is the first derivative of x(d) wrt d?
36*d - 1
Suppose 0*o = 4*o - 4. Suppose 23 = 4*s - 5*b + o, 4*s - 3*b = 26. What is the third derivative of -16*i**2 + s*i**5 + 21*i**5 - 6*i**2 - 21*i**5 wrt i?
480*i**2
Suppose -17 = -x - 11. What is the derivative of -22 + 0*c - 6*c - 3*c + 3*c**4 + x*c wrt c?
12*c**3 - 3
Let b be (4/6)/(112/21 + -5). Find the third derivative of -162*p**6 + 22*p + 27*p - 131*p**b + 20*p - 69*p wrt p.
-19440*p**3
Differentiate -19*z**3 - 463 - 23*z + 5*z - 164 - 5*z + 46*z wrt z.
-57*z**2 + 23
Let g(z) = -z**3 - 11*z**2 - 9*z + 8. Let v be g(-9). Let n = 75 + v. What is the third derivative of 13*p**6 - 23*p**6 - p**n + 6*p**2 + 4*p**2 wrt p?
-1200*p**3
Let o(z) be the second derivative of -3*z**6/5 - z**5/10 + z**3/2 + 9377*z**2/2 - 1776*z + 1. Differentiate o(r) wrt r.
-72*r**3 - 6*r**2 + 3
Let o(w) = -w**2 + 10*w - 18. Let p be o(6). Suppose 5*q - p*q + 2 = 0. What is the second derivative of 38*k + 3*k**2 + 5*k**q - 13*k**2 wrt k?
-10
Let k(b) = 14*b - 81. Let w be k(7). What is the first derivative of -4*t + 3*t + 36 + 2*t**3 + w*t wrt t?
6*t**2 + 16
Let c(q) be the second derivative of 689*q**4/12 - 4745*q**3/3 + 10684*q. Find the second derivative of c(f) wrt f.
1378
Let y(m) be the third derivative of -2747*m**6/120 + 7*m**4/4 - 2*m**3/3 - 275*m**2 + 5*m. What is the second derivative of y(h) wrt h?
-16482*h
Suppose 2*j = -0*x + 4*x + 138, -4*j - 5*x = -263. Find the first derivative of 12*s**2 + 98 + 98 - 185 - j*s**2 wrt s.
-110*s
What is the derivative of -392*a**2 + 158 - 1576*a**3 + 198*a**2 + 194*a**2 + 226 wrt a?
-4728*a**2
Let b = -61 + 79. Let z(x) = 15*x**2 + 4*x + 63. Let g(p) = 61*p**2 + 19*p + 253. Let h(f) = b*z(f) - 4*g(f). Find the first derivative of h(q) wrt q.
52*q - 4
What is the second derivative of -11*h - 59*h**3 + 33*h**5 + 41*h**5 + 7 + 35*h**5 - 113*h**5 wrt h?
-80*h**3 - 354*h
Let q(a) = -151*a**2 - 21*a + 2. Let w(p) = p. Let v(g) = g**2 - 3*g - 48. Let z be v(-6). Let c(n) = z*w(n) - q(n). Find the second derivative of c(i) wrt i.
302
Let s(d) be the third derivative of 0 + 0*d**4 + 76/3*d**3 + 1/30*d**5 - 11/120*d**6 - 10*d + 3*d**2. What is the derivative of s(b) wrt b?
-33*b**2 + 4*b
Find the second derivative of 103*i**2 - 293*i**2 + 11 + 17*i**4 - 6*i**4 - 220*i - 35*i**4 wrt i.
-288*i**2 - 380
Let q(l) be the second derivative of 911*l**5/10 + 3211*l**2/2 + 326*l. What is the first derivative of q(w) wrt w?
5466*w**2
Let v be (-4)/1 - 84/(-7). Suppose 0 = 5*u - v*u + 18. Find the third derivative of -18*x**2 + 6 + 4*x**4 - u - x**4 wrt x.
72*x
Let f(p) = -2199*p**3 + 18*p**2 - 13245. Let k(u) = -2749*u**3 + 22*u**2 - 16556. Let w(b) = 11*f(b) - 9*k(b). Differentiate w(g) with respect to g.
1656*g**2
Suppose 80*z + 5 = 75*z. Let l = 24 - z. What is the third derivative of 6*k**2 + l*k**2 - 3*k**2 - 28*k**5 wrt k?
-1680*k**2
Let k(m) be the second derivative of 6 - 55/12*m**4 + 0*m**5 - 6*m + 0*m**3 + 0*m**2 - 22/15*m**6. Find the third derivative of k(n) wrt n.
-1056*n
Let z = -212 - -297. Let r = 108 - z. Differentiate -17*w**3 - 21*w**3 + 35*w**3 - r wrt w.
-9*w**2
Let u(o) = 29*o**3 + 6*o**2 - 2. Let g be (-3)/(-6)*(-3 + 5). Let s(p) = p**2 - 2*p**2 - 11 - p**3 + 12. Let w(l) = g*u(l) + 6*s(l). Differentiate w(m) wrt m.
69*m**2
Suppose 0 = 23*q - 19*q - 28. Suppose -q*j + 0 = -14. What is the derivative of 23 - 2*w - j*w - 18 wrt w?
-4
Find the first derivative of -126 + 522 + 373 - 63 - 1455*q**2 - 811*q**2 wrt q.
-4532*q
What is the second derivative of 969*k**2 - 11*k - 32*k - 1028*k**2 + k + 5 wrt k?
-118
Find the first derivative of 1514 + 339 - 79*z - 325*z - 372*z wrt z.
-776
Let v(o) = 7*o**2 - o - 1. Let b be v(-1). Let n be 0 + b/(7/8). What is the second derivative of 12*d**4 + n*d + 4*d - d wrt d?
144*d**2
Let m(p) = p**3 + 22*p**2 - p - 19. Let l be m(-22). Suppose 7*x + 20 = 4*a + l*x, -2*x = 6. Differentiate 18*k**2 + 11*k**2 + 7 - 25*k**a with respect to k.
8*k
Let l(q) be the second derivative of 1190*q**4/3 + q**3/6 - 3106*q**2 + 107*q - 19. Differentiate l(x) wrt x.
9520*x + 1
Let j be (-399)/(-57) - (-2 + 2). Find the second derivative of -1972*b + j*b**2 + 1711*b + 7*b**2 + 98*b**2 wrt b.
224
Let l(g) be the second derivative of -1106*g**3/3 - 2177*g**2/2 + 32*g - 45. What is the derivative of l(z) wrt z?
-2212
Find the third derivative of 22*w**5 - w**4 + 87933 - 87933 + 471*w**2 wrt w.
1320*w**2 - 24*w
Let d(n) be the third derivative of -3481*n**6/120 - 320*n**4 - 2*n**2 - 40*n + 6. What is the second derivative of d(q) wrt q?
-20886*q
Let n = 218 + -215. What is the first derivative of 90 + 4 - 2*f - 5 + 29*f**n + 5*f wrt f?
87*f**2 + 3
Let y(k) = 15319*k**2 - 108*k + 557. Let t(o) = 7657*o**2 - 59*o + 279. Let n(s) = -11*t(s) + 6*y(s). Find the second derivative of n(f) wrt f.
15374
Suppose 17*m + 491 - 1800 = 0. Differentiate -1688 + 1668 - m*l**2 - 35*l**2 wrt l.
-224*l
Suppose 4*q - 24 = -2*v, 5 = -0*v - 5*v + 3*q. Suppose v*h - 3*h + 2*g + 20 = 0, 5 = h + 3*g. Find the second derivative of h*a**2 - 4*a - 8*a - 4*a**2 wrt a.
20
Suppose 3*q = 3*o - 9, -2*o - 9 = -o - 5*q. What is the third derivative of 44*g**o + 130*g**6 + 116*g**6 + 145*g**2 - 215*g**2 wrt g?
34800*g**3
What is the first derivative of -480*h - h**2 + 217*h - 605*h - 2*h**2 - 871 + 2*h**2 wrt h?
-2*h - 868
Let c(k) be the first derivative of -448*k**3 + k**2 + 3176*k + 565. Find the first derivative of c(z) wrt z.
-2688*z + 2
Find the second derivative of -3044*o - 521*o**5 - 1039*o**5 + 4062*o**5 wrt o.
50040*o**3
Let z(k) = k**2. Let t(r) = -5807*r**4 + 5806*r**4 + 17*r**3 + 3*r**2 - 8 + 31. Let u(w) = -t(w) + 3*z(w). Differentiate u(o) with respect to o.
4*o**3 - 51*o**2
Let z(g) be the first derivative of -9*g**4 + 0*g**2 - 74/3*g**3 - 35 + 0*g. What is the third derivative of z(n) wrt n?
-216
What is the third derivative of 186*v**2 + 15226 + v + 949*v**3 - 15226 wrt v?
5694
Find the third derivative of 2811*s**3 + 3306*s**3 + 2067*s**3 - 1619*s**2 - 9577*s**3 + 2944*s**3 wrt s.
9306
Let f(h) be the third derivative of -853*h**7/30 - 156*h**3
|
{
"pile_set_name": "DM Mathematics"
}
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f(x) = -j(x) + 2*u(x). Differentiate f(q) wrt q.
24*q**3 + 4
Let l(w) be the first derivative of w**8/168 + w**5/12 + 3*w**2 + 4. Let p(j) be the second derivative of l(j). What is the third derivative of p(b) wrt b?
120*b**2
Differentiate 11527 - 4*x + x**2 - 11567 - 8*x with respect to x.
2*x - 12
Let h(p) = p**2 - p + 1. Let f(n) = -22*n**2 - 6. Let g = 146 - 147. Let x(o) = g*f(o) - 3*h(o). Find the second derivative of x(j) wrt j.
38
Let h = 36 + -33. Find the first derivative of -7 - 9 + h*x + 4 - 2 wrt x.
3
Let n(m) = 2*m**2 + 18*m + 5. Let t be n(-9). Suppose -268 = -t*b + 127. What is the second derivative of -14*w + 78*w**5 - b*w**5 + w**3 - w**3 wrt w?
-20*w**3
Let i(y) be the first derivative of -11*y**7/210 + y**4/12 + 4*y**2 + 6. Let u(a) be the second derivative of i(a). What is the second derivative of u(z) wrt z?
-132*z**2
What is the third derivative of 6*b**2 + 68*b**3 - 9*b**2 - 15*b**2 wrt b?
408
Suppose -2*d + 18 = 5*r - 0*r, 0 = 4*r - d - 4. Find the second derivative of -39*m**2 - 27*m - 34*m**2 + 64*m**r wrt m.
-18
Let h be 111/2*2/(-3). Let y = h - -39. What is the third derivative of 14*u**2 - 40*u**2 + 9*u**4 + 16*u**y wrt u?
216*u
Let o(z) be the first derivative of 687*z**2/2 - 699*z + 276. What is the first derivative of o(k) wrt k?
687
Let t = -15 + 20. Suppose 0 = 5*w + 5*h - 15, -h + 6 = t*w + 3. Find the first derivative of -4*a - 1 - 3 - 2 + w wrt a.
-4
Let l = 3 + -1. Let w be (2/7)/(l/14). What is the second derivative of i**w - 5*i - 2*i**2 + 2*i**3 + i**2 wrt i?
12*i
Find the third derivative of 1094*h**2 - 543*h**2 - 549*h**2 + 5*h - 33*h**3 wrt h.
-198
Let r(y) = -y + 13. Suppose 22 = 5*f - 28. Let o be r(f). Find the second derivative of 0*z - 2*z - o*z**3 + 4*z**3 wrt z.
6*z
Let d(z) be the first derivative of 0*z + 0*z**3 + 6 - 2*z**2 + 3/4*z**4. What is the second derivative of d(r) wrt r?
18*r
Find the second derivative of 0 + 4 + 2*t**2 + 124*t + 0*t**2 - 4*t**2 - 18*t**3 - 119*t wrt t.
-108*t - 4
Let f(g) = -7*g**4 + 38*g**2 + 8*g - 19. Let a(z) = -13*z**4 + 77*z**2 + 15*z - 41. Let v(o) = 6*a(o) - 11*f(o). Find the second derivative of v(q) wrt q.
-12*q**2 + 88
Let u(d) = 8*d**3 + d**2 - d + 1. Let z be u(1). Differentiate -25*f**2 - 5*f**2 - 34 + z*f**2 - 1 with respect to f.
-42*f
Suppose 4*s + 0*s = 4. Let b(d) = 17*d**2 + 15*d. Let a(r) = -r. Let m(j) = s*b(j) + a(j). Find the second derivative of m(n) wrt n.
34
Suppose 6*g - 48 = 3*g. What is the second derivative of -g*s**4 + 4*s**4 + 28 + 10*s - 28 wrt s?
-144*s**2
Let v(k) = 3*k**3 + 3*k**2 + 46. Let s(q) = -6*q**3 - 7*q**2 - 93. Let r(l) = -3*s(l) - 7*v(l). What is the derivative of r(n) wrt n?
-9*n**2
Find the second derivative of -50 + 351*l**4 + 50 + 1716*l - 675*l + 562*l**4 wrt l.
10956*l**2
Let j(k) = 117*k**3 + 14*k**2. Let p(c) = -2*c**3 - c**2. Let i(h) = -j(h) + 3*p(h). Find the third derivative of i(x) wrt x.
-738
Let l(f) be the second derivative of -33*f**3/2 + 46*f**2 - 3*f + 1. Differentiate l(w) with respect to w.
-99
Let a(y) = 10*y**2 - 11*y + 25. Let g(h) = 8*h**2 - 12*h + 24. Let i(d) = -3*a(d) + 4*g(d). Differentiate i(k) with respect to k.
4*k - 15
Let j be 32/(-12)*6/(-4). Suppose j*n - 28 = -5*i, -2*i + 6*i - 16 = 0. Find the third derivative of 7*z**2 + 4*z**n + 3*z**3 - z**3 - 5*z**2 wrt z.
12
Let b = -43 - -66. Suppose 25*w = b*w + 6. What is the second derivative of 4*d + 5*d**3 - w*d - 4*d wrt d?
30*d
Find the second derivative of 236*j**5 + 4*j - 3*j - 67*j + 25*j wrt j.
4720*j**3
Let m(t) = -t**2 + 3*t + 8. Let o(n) = n**2 - 6*n + 5. Let w be o(5). Let y be m(w). What is the second derivative of y*x**3 + 0*x + 7*x - 4*x + 0*x wrt x?
48*x
Find the third derivative of 59*r**2 - 4*r**2 + r**2 + 84*r**6 wrt r.
10080*r**3
Let s(x) = x + 3. Let g be s(2). Let u = 7 - g. Differentiate -12*h**u - 28 + 64 - 24 wrt h.
-24*h
Let s(t) be the first derivative of 31*t**5/5 + 106*t**3/3 + 21. Find the third derivative of s(z) wrt z.
744*z
Let r(l) = l**2 + 5*l + 8. Let a be r(-3). What is the first derivative of 2 + 3 - 11*x - a wrt x?
-11
Let n(q) be the third derivative of 71*q**5/60 + 109*q**3/6 - 130*q**2. What is the derivative of n(w) wrt w?
142*w
Suppose -u - 3*u - 12 = 5*k, 2*k = -8. Let j = 6 + -3. What is the second derivative of -j*o + 12 - 12 - 13*o**u - 8*o wrt o?
-26
Let o(t) = 19*t**4 - 4*t**3 - 4*t**2 + 4*t - 235. Let n(s) = -19*s**4 + 3*s**3 + 3*s**2 - 3*s + 235. Let u(z) = -4*n(z) - 3*o(z). Differentiate u(w) wrt w.
76*w**3
Let u(x) be the second derivative of 247*x**5/20 + 17*x**4/6 + 3*x - 48. What is the third derivative of u(g) wrt g?
1482
Let a(k) be the third derivative of 13*k**5/15 + 37*k**3/3 + k**2 + 18. Find the first derivative of a(c) wrt c.
104*c
Let x(m) = 81*m**3 + 2*m + 8. Let j(h) = 162*h**3 + 5*h + 17. Let k(n) = 6*j(n) - 13*x(n). Find the second derivative of k(t) wrt t.
-486*t
Let t(o) = -292*o**4 + 499*o**2 + 2*o - 4. Let i(w) = 875*w**4 - 1497*w**2 - 7*w + 14. Let v(r) = -2*i(r) - 7*t(r). What is the third derivative of v(s) wrt s?
7056*s
Differentiate -4 - 11 - 236 + 615*a + 57*a with respect to a.
672
Let u be (-4*4)/(-2) - -5. Differentiate 54 + c - u + 11 with respect to c.
1
Let t = 80 - 66. Find the first derivative of -48 + 17 - t*o**4 - 8*o**4 wrt o.
-88*o**3
Find the second derivative of 487*h**2 - 242*h**2 - 245*h**2 - 28*h + 4 - 60*h**3 - 74*h**3 wrt h.
-804*h
What is the third derivative of 3*c**3 - 4 + 4 - c**4 + 5*c**2 + 9*c**2 - 9*c**3 wrt c?
-24*c - 36
Let m be (-4)/10 - (-24)/10. Suppose -m*v - 1 = -9. Differentiate -6 + 2 + 0 - 5*x**v with respect to x.
-20*x**3
Let g(w) be the third derivative of 107*w**4/24 + 9*w**3 - 486*w**2. Differentiate g(h) wrt h.
107
Let i(g) = -g**4 + g. Let c(u) = 287*u**4 + 130*u. Let z(n) = -c(n) + 4*i(n). What is the second derivative of z(p) wrt p?
-3492*p**2
Let g(v) = -23*v. Let q be g(-1). What is the first derivative of -q*y**3 - 5 - 3 + 9 wrt y?
-69*y**2
Differentiate -4 - 9*d**3 + 32*d**3 - 5 - 3 - 5*d**3 + d wrt d.
54*d**2 + 1
Let l(j) be the second derivative of 0*j**2 + 0 - 10*j + 0*j**4 + 0*j**6 + 1/14*j**7 + 0*j**5 - 3/2*j**3. Find the second derivative of l(w) wrt w.
60*w**3
Let g = 328 - 328. Let p(q) be the third derivative of 0*q - 1/24*q**4 - 1/60*q**5 + g*q**3 + 0 + 5*q**2. Find the second derivative of p(z) wrt z.
-2
Find the third derivative of -613*f**2 + 9*f**4 - f**3 + 721*f**2 + 8*f**4 wrt f.
408*f - 6
Let l(b) = -382*b**2 + 31*b + 222. Let v(k) = 128*k**2 - 11*k - 74. Let o(c) = -6*l(c) - 17*v(c). Find the first derivative of o(p) wrt p.
232*p + 1
Let s(t) be the second derivative of -77*t**5/20 - 37*t**2 - 3*t. What is the first derivative of s(i) wrt i?
-231*i**2
Let h(r) be the first derivative of 0*r**4 + 0*r**3 - r**2 + 0*r - 9 + 22/5*r**5. Find the second derivative of h(x) wrt x.
264*x**2
Let c(m) be the second derivative of m**6/5 - m**5/5 - m**3/6 - m**2 + 8*m + 4. Find the second derivative of c(l) wrt l.
72*l**2 - 24*l
Let z be 36 - 6 - (-4 + 1). Suppose -5*b = 3*q - 2*q - z, 2*q + 3*b - 31 = 0. Find the second derivative of -3*g**2 + 8 - q - 3*g + g**2 wrt g.
-4
Find the third derivative of 0 + 47*f**3 - 40 - 3*f**4 + 40 + 37*f**3 - 323*f**2 wrt f.
-72*f + 504
Let a(d) = 11*d**3 - 15*d. Let p be ((-10)/(-3))/(4/6). Let c(q) = -21*q**3 + 30*q. Let r(w) = p*a(w) + 3*c(w). Find the second derivative of r(h) wrt h.
-48*h
Let d(y) be the third derivative of 23*y**8/168 - y**7/70 - 9*y**5/4 - 42*y**2. What is the third derivative of d(t) wrt t?
2760*t**2 - 72*t
Suppose -3*y - g = -5*g + 6, -3*y = -2*g. Suppose 4*n + 12 = -2*w, -w = w + y*n + 6. Differentiate w - 5 + 0*p**3 + 4*p**3 with respect to p.
12*p**2
Let z(s) be the first derivative of 0*s**5 + 6 + 11/3*s**3 + 0*s**4 + 0*s + 0*s**2 + 5/2*s**6. What is the third derivative of z(r) wrt r?
900*r**2
Let s be (-1 - -3)/(-2) - -4. Differentiate 7*m + 4 - 4 + s wrt m.
7
Suppose 20 + 28 = 8*y. Let x(n) = -12*n**3 + 10*n**2 + 6. Let g(a) = 2*a**3 + 0 - a**3 - 1. Let d(u) = y*g(u) + x(u). Find the third derivative of d(z) wrt z.
-36
What is the third derivative of 28*x**2 + 35*x**3 + 635 - 1268 + 62*x**3 + 630 wrt x?
582
Let y(v) = -v**2 + 3*v + 4. Let h be y(3). Differentiate 35 + 9*q**h - 70 + 25 with respect to q.
36*q**3
Let g(f) be the second
|
{
"pile_set_name": "DM Mathematics"
}
|
7735*r**3 + 7*r**2 + 14*r - 16. Let n be t(-8). What is n rounded to the nearest one hundred thousand?
-4000000
Suppose 3*u - 8 = -u. Suppose 0 = -4*t + u*t - 15200. What is t rounded to the nearest one thousand?
-8000
Suppose 3*o - 4960003 = -4*r, 0 = 6*r - 4*r + o - 2480001. Round r to the nearest one hundred thousand.
1200000
Let x = -322 + 663. Suppose -26741 = -3*m - x. Suppose d = 4*l - m, 2308 = l + d + 108. Round l to the nearest one thousand.
2000
Let b = -18 + 30. Let x be 28/b - (-3)/(-9). Suppose 4*d = x*d - t + 980002, -d + 3*t = -489994. What is d rounded to the nearest 100000?
500000
Let p = 186.09 + 0.91. Let a = 186.9999907 - p. What is a rounded to six decimal places?
-0.000009
Let y = -641251475.99999912 + 641251453. Let v = 23 + y. What is v rounded to 7 dps?
0.0000009
Let n = 5 - 4.9999999. Round n to six dps.
0
Suppose -5*a + 2*c + 207 = 5211, 2 = c. Round a to the nearest one thousand.
-1000
Let o = -28 + 17. Let c = o + 10.25. Let g = c + 0.74939. What is g rounded to four dps?
-0.0006
Let l = -0.94 + 1.1. Let h = -0.37 + l. Round h to one dp.
-0.2
Let n = -7 + 6.96. Let z = n + 1.94. What is z rounded to zero decimal places?
2
Let j = 0.18 - 0.55. Let m = 68.04769 - 67.678. Let p = m + j. What is p rounded to four decimal places?
-0.0003
Suppose 5*t = 2*c - 4, 3*t = -2*t. Suppose -s + 2*r = -719998, s + 3*r = c*s - 719997. Round s to the nearest 100000.
700000
Let s = -2.06 + 2. Let i = -6654037.06000054 - -6654037. Let m = i - s. Round m to 7 decimal places.
-0.0000005
Let v = -128.057 - -128. Round v to two dps.
-0.06
Suppose -13 = -6*a + 107. Round a to the nearest 100.
0
Let s be (-6)/(-21) + 527972/(-14). Let c = s - -67712. Round c to the nearest ten thousand.
30000
Let i = 3717 - 3714.179. Let g = 2.8 - i. Round g to two dps.
-0.02
Let c(y) = -3 + 1 + 1 - y**2 - 7*y. Let g be c(-6). Suppose d - 4*k + 2917909 + 6482079 = 0, -g*d + 5*k = 46999985. Round d to the nearest 1000000.
-9000000
Suppose -3*o + 13682 = -21406. Let m = 2 - 2. Suppose 3*j - j = 3*d + o, -4*d + 2*j - 15596 = m. What is d rounded to the nearest one thousand?
-4000
Let v = -2 - -1. Let t be 2554 + 2*v + 0. Let o = -207448 - t. What is o rounded to the nearest 100000?
-200000
Let j(p) = 3*p - 18. Let h be j(8). Suppose -7*z + h*z = -16600. Round z to the nearest one thousand.
17000
Let t = -288.07706 + 172.07817. Let z = t - -116. Round z to 4 dps.
0.0011
Let k = 205.0202 + -205. What is k rounded to three decimal places?
0.02
Let g = 7 + -5. Let z be (1 - (g + -3))/2. Let f be 100/((-3)/(450*z)). What is f rounded to the nearest ten thousand?
-20000
Let i = 4.66 - 0.46. Let y = -4.2049 + i. Round y to three decimal places.
-0.005
Let x = -38.1 - -38. Round x to 0 decimal places.
0
Let c(i) = -14*i**3 - 3*i + 2. Let f be c(-3). Let x = 52 + f. Let m = -20559 - x. Round m to the nearest ten thousand.
-20000
Let z = -26.8 + 26.80000214. What is z rounded to 7 dps?
0.0000021
Let t = -1322.04 + 1294. Let f = -0.04 - t. Let b = -27.99983 + f. What is b rounded to 4 decimal places?
0.0002
Let m = 1.92 - -0.62. What is m rounded to one decimal place?
2.5
Let a(p) be the second derivative of -p**5/20 - p**4/12 - p**3/3 - 3*p**2/2 - 2*p. Let l be a(-2). Suppose l*v = 2*v + 16800000. Round v to the nearest 1000000.
6000000
Let w = -10.2 - -10.200316. What is w rounded to five decimal places?
0.00032
Let u = 30.97 + -33.97095. Let m = 3 + u. Round m to four dps.
-0.001
Let d(q) = 3*q**2 - 13*q + 25. Let x be d(8). Round x to the nearest 10.
110
Suppose 3*k = 5*b - 29, 5*b - k = b + 19. Suppose t = 3*s - 35995, -s + 4*t - 36020 = -b*s. What is s rounded to the nearest one thousand?
12000
Let f = 0.0651 + -0.06839. Round f to 4 decimal places.
-0.0033
Let u = -4.93 - -4.2. What is u rounded to 1 dp?
-0.7
Let z = 2.02 - 0.02. Let l = 2.04 - z. Let b = -0.6 - l. What is b rounded to 1 dp?
-0.6
Let v = -118 - -115.5. What is v rounded to 0 dps?
-3
Let r = -30914319 + 20226541. Let l = 10687765.000026 + r. Let s = l + 13. Round s to five decimal places.
0.00003
Let u = 0.161 - -16.139. Let s = -16.379 + u. Round s to two decimal places.
-0.08
Let w = 1.26 + -0.42. Let r = w - 0.04. Let s = r + -0.799993. Round s to five dps.
0.00001
Suppose 0 = -8*l - 3387883 + 123883. Round l to the nearest 10000.
-410000
Let a(k) = k + 7. Let q be a(-7). Suppose p + 2*p - 270 = q. Round p to the nearest 10.
90
Suppose -w = 4*v + 5, v + v + 1 = w. Let q(l) = -7199999*l**2 - 1. Let b be q(v). What is b rounded to the nearest 1000000?
-7000000
Suppose 386307 = 3*l - 27825363. Let p = l + -6103890. Round p to the nearest one million.
3000000
Suppose 5*d + 19640 + 22260 = 0. Round d to the nearest 1000.
-8000
Let x be (-26)/(-6) + (-2)/6. Suppose 0*g = x*g + 32400. What is g rounded to the nearest 1000?
-8000
Suppose -2*n + 557628 - 37628 = 0. What is n rounded to the nearest 100000?
300000
Let a = -35.7 - -38. Let f = a - 2.66. What is f rounded to 1 decimal place?
-0.4
Let x = 282 - 282.000223. Round x to 4 dps.
-0.0002
Let c = -6 - -8. Suppose c*d + 2*d = 0. What is d rounded to five dps?
0
Let c = 170445 + -170464.9938. Let b = -20 - c. What is b rounded to three decimal places?
-0.006
Suppose 4*d = 7 + 33. Let j(x) = 92*x**3 + x**2 - 11*x + 10. Let s be j(d). What is s rounded to the nearest 10000?
90000
Let z = 3634063 - 2214063. Round z to the nearest one hundred thousand.
1400000
Let k = 58.99999988 - 59. Round k to 7 decimal places.
-0.0000001
Suppose 2*m - 6*m = 1800. What is m rounded to the nearest 100?
-500
Let f = 9.0033 - 9. What is f rounded to 3 decimal places?
0.003
Let f = -5.7 - -5.778. What is f rounded to two dps?
0.08
Let v = -7.4 - -3. Let z = 9894414 - 9894409.5999973. Let j = z + v. What is j rounded to six dps?
0.000003
Let o = -2326703.5892914 - -2326704. Let x = -25.7093786 + o. Let i = x - -25.3. What is i rounded to 4 dps?
0.0013
Let h be (-4)/12 + 1384/12. What is h rounded to the nearest 10?
120
Suppose n - 3 = 1. Suppose -1800 - 19800 = n*h. What is h rounded to the nearest one thousand?
-5000
Let g = -4 + 28. Let d = g - 41.5. Let t = d + 25. What is t rounded to the nearest integer?
8
Let k = -0.48 + -0.07. Let n = k + 0.5. Round n to one dp.
-0.1
Let m(v) = 901*v + 11. Let a be m(-11). Round a to the nearest one thousand.
-10000
Let n = 723771413 - 723771336.0000053. Let q = 77 - n. Round q to 6 decimal places.
0.000005
Let o = -0.0808 - -0.6538. What is o rounded to 1 decimal place?
0.6
Let a = 114852023663809 - 114852024589560.00999982. Let j = -925751 - a. Let c = j + -0.01. Round c to 7 dps.
-0.0000002
Let s = 3.6 + -3.59997. What is s rounded to six decimal places?
0.00003
Let h(w) = 3*w + 1. Let j be h(1). Suppose -5*s - 2*g - 2*g + 2180 = 0, j*g + 460 = s. What is s rounded to the nearest 100?
400
Let g = -7 - -10. Let n be 141*80/(-36)*g. Round n to the nearest one hundred.
-900
Let s = 2.348403 - 2.51841. Let n = s + 0.17. What is n rounded to 6 decimal places?
-0.000007
Let i = -1.2 - -2. Let o = -0.7999835 + i. Round o to 6 decimal places.
0.000017
Suppose 36 = 4*z + 2*d, 2*z + d = 2*d + 22. Suppose -l - z = -6*l. Let p be (-500)/((l + -4)/(-280)). Round p to the nearest 10000.
-70000
Suppose 7*g = 4*g - 15. Let h be 1 - 0 - (56 + g). Round h to the nearest 100.
-100
Let y = -0.01 + 0.03. Let s = -4.28 - y. What is s rounded to the nearest integer?
-4
Let c = 26 - -20. Let x = -45.33 + c. Round x to 1 dp.
0.7
Let w = 14 - 14.0002. What is w rounded to 3 dps?
0
Let i = -0.55 - -0.5. Let c = i + 0. Let g = 0.0469 + c. Round g to three decimal places.
-0.003
Let v = 13.944 - 14. What is v rounded to two dps?
-0.06
Let g(o) = -16399*o**3 + 2*o**2 + o. Let a be g(-1). Round a to the nearest one thousand.
16000
Let l = -66 + 65.943. What is l rounded to two decimal places?
-0.06
Let m = 0.09 + -0.1152. What is m rounded to 3 decimal places?
-0.025
Suppose -2*h + 17 - 39 = 0. Let a = h - -13. Suppose 3*p = -a*p + 560. Round p to the nearest ten.
110
Let q = 11 + -10.987. Round q to 3 decimal places.
0.013
Let k(z) = 7*z + 1. Let u be k(2). Suppose 0 = 3*l - 3*b + u, 3*b + 2 = -4*l + b. Let n be l/(((-3)/370)/(-3)). What is n rounded to the nearest 100?
-700
Suppose 14785162 + 11614838 = c. Round c to the nearest 1000000.
26000000
Let w
|
{
"pile_set_name": "DM Mathematics"
}
|
e?
True
Is 1844245099 prime?
True
Is 2554917193 composite?
False
Is 4432170751 a prime number?
True
Is 26013707 a prime number?
True
Is 49482887 a prime number?
False
Is 32700207923 composite?
True
Is 4674423797 a prime number?
False
Is 216986802337 a composite number?
True
Is 4915395071 a prime number?
True
Is 1501627489 prime?
False
Is 55334985133 prime?
True
Is 147587241947 composite?
True
Is 97268663 a composite number?
False
Is 1581601027 a prime number?
False
Is 3102703165 a composite number?
True
Is 234133223393 composite?
False
Is 250249793 composite?
False
Is 22163108893 composite?
False
Is 7610963111 prime?
True
Is 19837035627 prime?
False
Is 102309277 a composite number?
True
Is 1240158089 composite?
True
Is 2267882513 a prime number?
False
Is 17410463803 a composite number?
False
Is 34610383961 prime?
True
Is 12933355207 prime?
False
Is 487469447 a prime number?
False
Is 2019862213 a composite number?
False
Is 171912983 composite?
True
Is 476870323 prime?
False
Is 34723546883 prime?
True
Is 33113125403 prime?
False
Is 6029828309 prime?
False
Is 13460607139 a composite number?
True
Is 79782583 prime?
False
Is 3556397021 a prime number?
True
Is 2176036717 prime?
True
Is 14537099723 prime?
True
Is 219239261 prime?
True
Is 631847507 a prime number?
False
Is 9539498411 a prime number?
False
Is 7211861603 composite?
False
Is 398659213 composite?
True
Is 29755266511 a prime number?
True
Is 167656889 a composite number?
False
Is 3877662317 a composite number?
False
Is 747258227 a composite number?
True
Is 5831157841 composite?
False
Is 9087198889 a prime number?
True
Is 113527099 prime?
False
Is 272499907 a composite number?
True
Is 5441156417 composite?
True
Is 2061096601 prime?
False
Is 201782776015 composite?
True
Is 75852650553 composite?
True
Is 482446267 prime?
True
Is 78360631495 composite?
True
Is 549459791 composite?
False
Is 3262676653 composite?
False
Is 37968239129 composite?
True
Is 4680705163 a composite number?
False
Is 101431858805 a composite number?
True
Is 14706493697 composite?
True
Is 956528887 a composite number?
False
Is 3953995129 prime?
False
Is 5171425081 composite?
True
Is 612584989 a composite number?
False
Is 967065959 a composite number?
True
Is 48939399559 composite?
False
Is 489098081 a prime number?
True
Is 2836551007 a prime number?
False
Is 293454433 a prime number?
True
Is 284421152551 prime?
True
Is 2562177509 composite?
False
Is 63049926067 a prime number?
True
Is 5520551759 prime?
False
Is 338484862201 composite?
False
Is 38557276423 composite?
False
Is 3768103373 a composite number?
True
Is 54681691 prime?
True
Is 1522191007 a prime number?
False
Is 3302513293 composite?
False
Is 2170282451 composite?
False
Is 7152628123 a prime number?
True
Is 242076113 prime?
False
Is 44405423221 a composite number?
False
Is 238629329 composite?
False
Is 125556266173 a composite number?
True
Is 29918608333 a prime number?
False
Is 31356820393 composite?
False
Is 48542020661 composite?
False
Is 1560094049 composite?
True
Is 39129588203 a prime number?
True
Is 20192378273 a composite number?
False
Is 103162322093 composite?
True
Is 2203077343 a prime number?
True
Is 86772736469 prime?
True
Is 945083149 composite?
False
Is 171124493 composite?
True
Is 656698223 composite?
False
Is 21173773657 prime?
False
Is 3311989033 a prime number?
True
Is 1733899613 a prime number?
True
Is 19379601847 a prime number?
False
Is 7506570449 prime?
False
Is 4426236149 prime?
False
Is 18891862637 a prime number?
True
Is 417571563 composite?
True
Is 87675433357 prime?
False
Is 8777170145 a prime number?
False
Is 1096157381 composite?
True
Is 26063871881 composite?
False
Is 9166461587 prime?
True
Is 823555553 prime?
False
Is 13830583441 prime?
False
Is 80398067 a composite number?
True
Is 2409006989 a composite number?
True
Is 5304694541 a prime number?
True
Is 10938110653 composite?
True
Is 661973873 a composite number?
True
Is 36711877337 a composite number?
True
Is 23684027 a prime number?
False
Is 87409578517 a prime number?
False
Is 16970845891 composite?
False
Is 2844815143 a composite number?
True
Is 71916486703 composite?
False
Is 615939221 prime?
False
Is 10177634347 a composite number?
True
Is 111011878123 composite?
False
Is 4785794297 a prime number?
True
Is 161330243 composite?
True
Is 1244108017 a composite number?
True
Is 55138414321 prime?
True
Is 200460316171 prime?
False
Is 12690701323 composite?
False
Is 30731947 a prime number?
True
Is 338785211 a prime number?
False
Is 30712948891 composite?
False
Is 2203142399 composite?
False
Is 26981200723 prime?
True
Is 3761117 a prime number?
True
Is 3505390051 prime?
False
Is 1632680411 composite?
False
Is 358717127 composite?
False
Is 9338455499 prime?
True
Is 851868959 prime?
True
Is 3113255351 composite?
True
Is 445171723 a prime number?
True
Is 45920703181 composite?
False
Is 7517988827 a prime number?
True
Is 3673604569 a composite number?
True
Is 1412568753 prime?
False
Is 9550618289 a composite number?
True
Is 6608240021 a composite number?
False
Is 45695384729 prime?
True
Is 2727308989 a prime number?
True
Is 1087359313 a prime number?
False
Is 115292229401 prime?
True
Is 3420016703 composite?
False
Is 4811482513 a prime number?
True
Is 33370951 a prime number?
True
Is 22414012253 composite?
True
Is 415594757 a prime number?
True
Is 45273409313 prime?
False
Is 2559517231 composite?
True
Is 2806477853 prime?
False
Is 91640232331 a composite number?
False
Is 89747927 prime?
True
Is 21444693323 a composite number?
False
Is 3499996463 prime?
False
Is 1414860559 composite?
True
Is 2098597871 a composite number?
True
Is 13574963747 a composite number?
False
Is 151079687761 a prime number?
True
Is 18875416711 a prime number?
True
Is 165910466669 a composite number?
False
Is 742156069 prime?
False
Is 18570083899 prime?
False
Is 13394507237 a composite number?
False
Is 825135721 a prime number?
True
Is 144016144507 composite?
True
Is 6468256321 a prime number?
True
Is 74224429 a prime number?
False
Is 296670427733 composite?
False
Is 291160822 composite?
True
Is 121933577 a prime number?
False
Is 267658855 a composite number?
True
Is 474411953 a prime number?
True
Is 1012558621 a composite number?
True
Is 53827801399 a composite number?
False
Is 91013242897 prime?
False
Is 5338565153 a composite number?
False
Is 81748022549 a prime number?
True
Is 62928631 a composite number?
False
Is 2571486649 composite?
False
Is 1548266963 composite?
True
Is 9631371331 a prime number?
True
Is 462107309 a prime number?
True
Is 721178251 a prime number?
True
Is 45172191349 a composite number?
False
Is 6871979 a prime number?
True
Is 44741245463 a composite number?
False
Is 8194247893 prime?
False
Is 106207579565 composite?
True
Is 1390149353 composite?
False
Is 38495302799 a prime number?
False
Is 45514920497 a composite number?
False
Is 1187666423 composite?
False
Is 46156258235 a composite number?
True
Is 1511990057 composite?
False
Is 2529303783 a composite number?
True
Is 31173484855 a prime number?
False
Is 8635245683 composite?
False
Is 370773157 composite?
False
Is 83986738727 composite?
True
Is 57510944763 a prime number?
False
Is 12582694829 prime?
False
Is 2715995423 prime?
True
Is 14313426326 a prime number?
False
Is 312699379 composite?
False
Is 179077403 prime?
True
Is 60079333799 a prime number?
False
Is 15230622629 a prime number?
True
Is 813227269 a composite number?
False
Is 2400975997 composite?
True
Is 15969942379 a composite number?
False
Is 31703625181 a composite number?
True
Is 391879489 a composite number?
True
Is 642749179 a prime number?
False
Is 51332561689 composite?
False
Is 30527372443 a prime number?
True
Is 307443931 a prime number?
False
Is 37561389671 composite?
True
Is 4416158267 composite?
True
Is 19741297357 a composite number?
True
Is 101617913165 composite?
True
Is 5333992487 prime?
True
Is 151657369 composite?
True
Is 1283416391 composite?
False
Is 72731707 composite?
False
Is 1141908011 prime?
True
Is 1360296233 a prime number?
False
Is 142406066161 a composite number?
True
Is 1806365059 composite?
False
Is 4060038221 composite?
True
Is 866961863 a composite number?
True
Is 1997383529 composite?
True
Is 213342828383 a prime number?
True
Is 2595225853
|
{
"pile_set_name": "DM Mathematics"
}
|
*3 and give i.
-1
Rearrange -19*s - 25 - s**3 - 21 + 48 + 2*s**2 to the form u*s + q + z*s**2 + t*s**3 and give z.
2
Express -7*p**3 - 35*p**2 + 35*p**2 + (-2 + 2 - p**2)*(-5 + 1 - 5)*(2 + 2*p - 2) in the form m*p**3 + y*p**2 + j*p + r and give m.
11
Express 20*z - 16 + 16 in the form i*z + h and give i.
20
Express l - l - 6 - 25*l**2 + 33*l**2 in the form q*l**2 + y*l + z and give q.
8
Rearrange q**2 - 75 + 4*q + 79 - 4*q to d*q + n + m*q**2 and give n.
4
Rearrange -3*i + i - 4 - 7 - 5 to the form c*i + k and give c.
-2
Express (-3*f**2 - 4*f**2 + 4*f**2)*(-15 + 15*f + 15) as t + r*f**2 + c*f**3 + k*f and give c.
-45
Rearrange 11*s**3 + s**2 - 20*s**3 + 11*s**3 + 15*s to the form k*s**3 + w*s + f*s**2 + u and give w.
15
Rearrange (8*k - 5*k - k)*(-4 + 4 - 2) to v + t*k and give t.
-4
Express (2 + 2 - 2)*(-3*p - 3*p + 4*p) - 2*p - 2*p + 5*p + (0 + 4 - 2)*(-6*p + 0*p + 0*p) in the form f + t*p and give t.
-15
Express -8*v**2 + 42*v**2 - 5*v**2 in the form y + u*v**2 + l*v and give u.
29
Express -7*z**3 + z - z + (-3*z + 3*z - 2*z)*(-3*z**2 + z**2 - z**2) as a*z**3 + k*z**2 + p + t*z and give a.
-1
Rearrange -9 - 3 + a + 13 - 2*a**3 + a to c + x*a**3 + h*a**2 + j*a and give j.
2
Rearrange t - t**2 + 2*t**2 + 27*t**3 - 3*t + 4*t to y + m*t + u*t**3 + d*t**2 and give d.
1
Rearrange -d**2 + 2 - 4 + 0*d**2 to the form c*d**2 + x*d + b and give b.
-2
Rearrange (-3*x + 3*x - 2*x)*(4 - 3*x - 4) + 0*x - 8 + 5 + 2*x**2 + 2*x to the form o*x**2 + j*x + q and give q.
-3
Rearrange -5 + 10*a**3 - 21*a**3 + 17 + 9*a**3 to z*a + r*a**2 + k*a**3 + b and give k.
-2
Rearrange t + 3 + 0 + 439*t**3 + t**2 - 438*t**3 to z*t**3 + w + c*t**2 + p*t and give z.
1
Rearrange (0*j + j - 3*j)*(2 - 4 - 3) - 2*j - j + 0*j + 4 - j - 4 + (4 - 3 + 1)*(3*j + 2*j - 4*j) + 1 - 1 - 3*j to x*j + f and give x.
5
Express -u**2 - u**2 + 7 + 2*u**2 + u**2 as p*u**2 + i*u + z and give z.
7
Express (-11 + 11 + 4*p)*(p - 2*p + 3*p)*(p - 2*p + 3*p) in the form u*p**2 + q*p**3 + z + o*p and give q.
16
Express -4*m**2 - 7*m - m**4 - 2*m**3 + 9*m + 3*m**2 - m as o + n*m**2 + x*m**4 + w*m + z*m**3 and give w.
1
Express -k**2 + 1 - 1 + (4*k**2 - 5*k**2 - k**2)*(3 - 4 - 1)*(0 + 1 + 1)*(-1 - 1 + 1) in the form d + c*k**2 + i*k and give c.
-9
Rearrange (-6 + 0 + 3)*(-1 + 0 + 5)*(-2*c**2 - 3*c**2 + 2*c**2) + (-3 - 2 + 3)*(2*c**2 - 4*c + 4*c) to u + k*c**2 + r*c and give k.
32
Express (3*v - 6*v + v)*(0*v - 2*v - 3*v) - 3*v**2 + 4*v**2 + 0*v**2 + (0 - 2 + 4)*(0 - 2*v**2 + 0) as u*v + i + a*v**2 and give a.
7
Rearrange (24*r**2 - 30*r**2 - 18*r**2)*(-4*r**2 + 3*r**2 + 3*r**2) to a*r**2 + q*r**3 + i*r**4 + f + o*r and give o.
0
Express (-94 + 94 + 35*g)*(-2*g + g + 3*g) as o*g**2 + q + z*g and give o.
70
Rearrange -2*j**3 + j - j**3 + 2*j**3 + j**2 to c*j + z + m*j**3 + r*j**2 and give c.
1
Rearrange (-2*j**2 + 0*j**2 + 0*j**2)*(-3*j + 3*j + 2*j)*(-5*j - j - j)*(-1 + 0 + 3) to the form r*j + y + w*j**4 + a*j**3 + q*j**2 and give w.
56
Rearrange u**4 + 1 - 1 + (0*u**2 - 2*u**2 + 0*u**3 - 2*u**3)*(-10*u + 0 + 0) to f + h*u**2 + n*u + i*u**3 + o*u**4 and give i.
20
Rearrange 55*p**2 + 2*p**4 - 55*p**2 + 3*p**3 + 6*p to the form q + z*p**4 + f*p + w*p**3 + g*p**2 and give f.
6
Express 13*c**2 - 9*c**2 + 5*c**2 + 26*c**2 as f*c + h*c**2 + j and give h.
35
Express 4*v**3 + 5*v**2 - 5*v**2 - 2*v**2 + 3*v in the form q*v**2 + o + s*v + k*v**3 and give q.
-2
Express (9*n**4 - 7*n**4 + 15*n**4)*(0 + 1 + 1) as j*n + y*n**2 + k*n**4 + u*n**3 + f and give k.
34
Rearrange (2 - 2 - 7)*(2*w + 0*w + 0*w) + (3*w - 3*w - 2*w)*(0 - 2 + 0) to the form p*w + t and give p.
-10
Express (6 + 1 - 3)*(-x + 4*x - 2*x + (3*x - 2*x - 3*x)*(-1 + 1 - 2) + x - 2*x - x)*(-3*x - 2*x + x) as n*x**2 + f + o*x and give n.
-48
Rearrange 2*l - 2*l + l + (-3*l - 3*l + 5*l)*(-2 + 3 + 1) - l - l + l + (-2*l + l + 2*l)*(1 + 2 - 4) to the form m*l + o and give m.
-3
Express (2*o + o - 4*o)*(2*o - o + 0*o) - 2*o**2 - 2*o**2 + 2*o**2 + (2 + 3 - 4)*(3 - 3 + 2*o**2) as q*o**2 + n + m*o and give q.
-1
Express 238 + j - 136 - 117 as b*j + u and give b.
1
Rearrange -124 - 27*j**4 + 57 - 2*j**3 + 68 + 2*j**2 to l*j**4 + o*j**3 + y*j + s*j**2 + u and give s.
2
Express 10*b + 0*b + 2*b in the form w*b + r and give w.
12
Express (0*p**2 + 0*p**2 + p**2)*(3 + 0 - 4) - 2 + p**2 - 2*p**2 + p + p as l + f*p + x*p**2 and give f.
2
Express -4 + 4 - 8*g - 2*g in the form a*g + n and give a.
-10
Express (-p**3 + 19 - 19)*(0 + 1 - 2)*(p + p - 6*p) in the form o*p**4 + t*p**3 + w*p**2 + h + m*p and give o.
-4
Rearrange (-3 - v + 3)*(6 - 7 - 2*v**2 - 90*v + 93*v) to p*v**2 + n*v**3 + q*v + s and give q.
1
Rearrange (2*h**3 + h**3 + 5*h**3)*(8*h + 9*h - 8*h)*(-1 + 3 - 3) to i + m*h**4 + c*h + k*h**2 + j*h**3 and give m.
-72
Rearrange (2 + 0 + 0)*(k - k + k) - k + 2*k + 0*k + 1 - 2*k - 1 + (2 + 7 + 6)*(-2*k + 2 - 2) + 0 + 0 + k to b*k + u and give b.
-28
Express -14*t - 16*t + 6*t - 2*t**2 in the form n*t + z + u*t**2 and give n.
-24
Express (-3 + 6 - 4)*(3*a - 3 + 3)*(2 - 4 - 1) as w*a + d and give w.
9
Rearrange (1 - 1 + i)*(i**3 + 3*i**3 - 3*i**3) + 26*i**4 - 8*i**4 + 3*i**4 to the form w*i**2 + u*i**4 + x + l*i**3 + p*i and give u.
22
Rearrange -t**3 + 1 - 11*t + 11*t to c*t**2 + i*t**3 + w + u*t and give i.
-1
Express 37*f**2 + 39*f**2 - 26*f**2 + f**2 in the form q*f**2 + z*f + d and give q.
51
Rearrange 0*k - k - 2*k + 4*k to f + x*k and give x.
1
Express (-5*n + 27 - 27)*(-n + n - n)*(0*n**2 + 0*n**2 + 5*n**2) as m*n**2 + a*n**3 + j*n**4 + p*n + y and give j.
25
Rearrange (4*m - 3*m - 2*m)*(-1 + 1 - m) + 4*m - 5*m + 2*m**2 - 2*m to the form p*m**2 + g*m + f and give g.
-3
Express 2*m**2 + 1 - 3*m**3 - m**3 + 3*m**3 in the form i*m + g*m**2 + w + j*m**3 and give g.
2
Rearrange (-5 - 14 + 4)*(3*u**4 + u**4 - 6*u**4 + (5 - 5 - 4*u)*(3*u**3 + u**3 - 2*u**3)) to the form m + f*u**4 + y*u**2 + c*u**3 + q*u and give y.
0
Express (-3*k + 1 + 2*k + 1)*((-1 + 0 - 1)*(0 - 4 + 3) - 1 - 1 + 3) as t*k + n and give t.
-3
Express (-3*b + b + b)*(-4*b**3 - b**3 + 6*b**3)*(24 + 2 + 7) - 3*b**4 + 5*b**4 - b**4 in the form w*b**4 + x + u*b**2 + m*b**3 + q*b and give w.
-32
Rearrange (-k**2 + 0*k**2 - k**2)*(-1 + 4 - 2) + (-18*k + k + 5*k)*(-2*k - k + 4*k) to p*k**2 + d + l*k and give p.
-14
Rearrange -8*n + 14*n + 23*n - 4*n to the form k + l*n and give l.
25
Rearrange (2 + 1 - 1 + (3 + 2 - 2)*(2 + 0 - 1))*(2*i - 4 + 4) to the form q + w*i and give w.
10
Express 2*l + 2*l**4 + 43 - 20 - 22 in the form z*l + m*l**2 + c*l**3 + u*l**4 + v and give u.
2
Rearrange -2*x**2 + 5*x**3 + 2 - 8*x - 4*x**3 - 3*x to the form p*x**3 + f*x**2 + r*x + g and give g.
2
Express -7 + 22 - 11 + 6*g as t*g + j and give j.
4
Express -7*z - 15*z + 2 - 2 as d*z + g and give d.
-22
Rearrange (3*o + 0*o + o)*(0*o**2 - 2*o**2 + 5*o**2) to the form f*o**3 + n + y*o**2 + r*o and give f.
12
Rearrange (2*k + 7*k - 5*k)*(-2*k - 8*k + 17*k) to the form x*k + u*k**2 + m and give u.
28
Express -2*l**3 + l + 2*l**3 - 29 - 14 - 2*l**3 in the form y + v*l**2 + j*l**3 + n*l and give j.
-2
Rearrange 0*f**3 + 8*f**3 + 6*f - 4*f to q*f + p*f**3 + h*f**2 + c and give p.
8
Express (0 - 3 + 1)*(24*p - 36*p - 30*p) as q + g*p and give g.
84
Express 51 + 62 + 58 - 169 - s in the form u*s + b and give b.
2
Express (5 - 2 - 2)*(2 + 25*a - 28*a - 1) as w*a + k and give k.
1
Rearrange (7*g + 8 - 8)*(20*g**3 + 319*g**2 - 319*g**2) to the form c*g**4 + t + a*g**3 + x*g**2 + s*g and give c.
140
Express -10*w**4 + 9*w + 0 + 2 + 11*w**4 as a*w**3 + c*w**2 + i + n*w + s*w**4 and give n.
9
Rearrange b**3 - 5*b**3 + 2*b**3 - 3*b to the form r*b + w*b**3 + o + f*b**2 and give r.
-3
Rearrange 3*d**4 - 159 - d**4 - d**3 + 152 + d to k*d**2 + w*d**3 + x*d**4 + h + n*d and give x.
2
Express 0 - 14*c - 3 + 8*c + 9*c in the form p*c + m and give p.
3
Express (a**2 - a**3 + a**2 + 2*a**3)*(29 - 29 - 40) as k*a**2 + s*a**3 + j + r*a and give k.
-80
Express 2 - 2 + 17*o + 18*o in the form c*o + b and give c.
35
Express -17*c - 4 - 5 + 23*c in the form a*c + f and give f.
-9
Rearrange (57*k + 2 - 4*k**3 + k**2 + 2*k**3 - 68*k)*(-1 + 0 - 1) to o + x*k + h*k**3 + n*k**2 and give o.
-4
Express -4*b**2 + 0*b**4 - 4*b**4 + 2 - 5*b**2 + 3*b**4 in the form l + i*b**2 + u*b + p*b**4 + g*b**3 and give p.
-1
Express i**4 + 0*i**4 + 7*i**2 + 7 - 8 + 10*i**3
|
{
"pile_set_name": "DM Mathematics"
}
|
or w.
4
Let r be (2/3)/(5/(-210)). Let o be 75/9 + 5 + (-2)/(-3). Let v be 4/o + ((-320)/r)/2. Solve u = -u - v for u.
-3
Suppose -2*l + 40 = -31*h + 35*h, -4*h + 3*l = -40. Suppose 0 = o + 8 + 2. Let j = h + o. Solve j*a - 3 = -3*a for a.
1
Let w be (-6)/8 + (1830 - 1 - 18/(-24)). Solve 0 = 14*y + w - 1885 for y.
4
Suppose -7*b - 1219 = -30*b. Suppose -245 = -6*s - b. Solve 8*n = 8 + s for n.
5
Suppose 5*r + 13*r + 12*r = 23*r. Solve 90*f - 63*f + 189 = r for f.
-7
Let v(j) = 405*j - 5253. Let h be v(13). Solve -h*x + 95 = 59 for x.
3
Suppose -484*w + 487*w + 3*u = 39, 45 = 3*w - 3*u. Solve w*t + 15 = 113 for t.
7
Suppose -3454 = -84*s + 2762. Solve 6*l = 80 - s for l.
1
Suppose d + a - 3*a + 18 = 0, -4*a = 4*d + 36. Let j be 4 - (d*(-2)/6 + -3). Solve -5*w = -2 - j for w.
1
Let z(p) = -40*p**3 + 3*p**2 + p + 3. Let a(w) = -w**2 - 1. Let r(i) = -3*a(i) - z(i). Let t be r(-1). Let o be 18/5 + t/65. Solve -v = -0*v - o for v.
3
Let i(z) = 25*z + 110. Let c be i(-3). Solve 0 = -7*v + c*v - 168 for v.
6
Let f(m) = -3*m + 17. Let o be f(5). Suppose -3*l = -t - 8, -l = 4*t - o*t - 12. Let s = -2 + l. Solve -q = -s*q + 3 for q.
3
Suppose 98*f - g = 95*f + 56, 0 = -3*g + 12. Solve -2*p - 8*p - f = 0 for p.
-2
Suppose -4*q + 8 = -n - 12, 3*q = -5*n + 61. Solve q*g + 31 + 25 = 0 for g.
-8
Let a be ((-24)/(-36))/(1/15) - 6. Suppose 4*t + 5*z - 44 = 13, 21 = 2*t + z. Let r = t + -4. Solve a = -r*n + 6*n for n.
2
Let l(a) = a**2 + 3*a - 8. Let b be l(-6). Let t(q) = -20*q - 16. Suppose 13 - 9 = -4*y. Let x be t(y). Solve x*i - 30 + b = 0 for i.
5
Suppose 31*y - 6868 + 606 = 0. Solve -12*g + 238 - y = 0 for g.
3
Let d be -4*(-3 - 15/(-6)). Let c = -282 - -287. Suppose -4*b + 15 = c*a, -2*b + 4*a - 16 + 4 = 0. Solve 2*m = -b*m + d for m.
1
Let s(k) = 8*k**2 + k + 1. Suppose -5*f + 3*f + 2*z = -10, -2*f = 3*z. Let q be (-8)/4 - f/(-2 - 1). Let a be s(q). Solve -g - g = a for g.
-4
Suppose -4 = -2*c + 4*b, c = 3*b + 2 - 1. Let o = -38 + 40. Solve o*u - 18 = -c*u for u.
3
Suppose -82*h + 52*h + 3332 = 68*h. Solve h*o = -6 + 74 for o.
2
Suppose -6862*m + 6865*m = 27. Solve 0 = -m*f + 9 - 18 for f.
-1
Suppose -22*z = -45*z + 47*z - 456. Solve 25*p = z*p + 48 for p.
8
Let d = -1 - -2. Suppose 0 = 7*g - 3*j - 78, -2*g - 4*j - j - 7 = 0. Let z = 16 - 14. Solve -z*b = d + g for b.
-5
Let x(c) = 33*c**2 - 5*c + 4. Let z be x(1). Suppose -33*u + 25*u + z = 0. Solve 0 = -u*p + 3*p for p.
0
Let z = 100 + -100. Suppose -9*q + 112 = -q. Suppose 4*c + g - 38 = z, 0*g - 2*g = -2*c + q. Solve t + c = 4 for t.
-5
Let c = 7987 - 7984. Solve 393 - 405 = c*v for v.
-4
Let u be 4/(448/(-12))*72*7. Let r be u/(-405) + 2/(-15). Solve -t - t = r for t.
0
Let m = 18 - 15. Let l(n) = -25*n + 1104. Let d be l(44). Solve i + d = m*i for i.
2
Let o be (-51)/(-9)*3 - 4. Let b = 2 + o. Suppose 7*w + 1 - b = 0. Solve 9 = -f - w*f for f.
-3
Let p(a) = -a**3 + a**2 + 2*a + 4. Let x be p(2). Suppose 0 = -5*r, -12 = -x*b + 7*r - 3*r. Suppose -12 - 9 = -b*z. Solve z = v + 2 for v.
5
Suppose 0 + 12 = 2*k. Suppose -5*c = -11*c + k. Let f be (-1)/(-3)*(c - -5). Solve 3*r - f = -8 for r.
-2
Let c(z) = -z**3 + 9*z**2 + 37*z - 4. Let k(g) = -g**2 + 30*g - 113. Let v be k(25). Let u be c(v). Solve 0 = -m - 4 + u for m.
4
Let t = -18811 - -18819. Solve 0 = t*i - 15 - 25 for i.
5
Let c(s) = -s**3 + 10*s**2 - 19*s - 10. Let n be c(6). Let q = n + -18. Suppose 2*g + 32 + 44 = 4*f, f = -q*g + 24. Solve 7*m = 2*m - f for m.
-4
Let v(x) = x**3 + 5*x**2 + 4*x - 6. Let q be v(-3). Let f be (-272)/(-8) - (4 - q). Suppose -5*t + f = t. Solve -4 = s - t for s.
1
Let i(n) = 11*n**2 - 6*n - 13. Let l be i(-3). Let m be (2/5)/(l/780). Solve 4 = m*t + t for t.
1
Let h = 124 + -148. Let w = 26 + h. Solve -3*q = 7 + w for q.
-3
Let f = 13 - 10. Suppose -f*p - 2*p = -10. Suppose 6 = p*o - 2. Solve -o*x + 5*x = 0 for x.
0
Let m(c) be the third derivative of -c**4/6 + 7*c**3 + 2*c**2 - 10*c. Let u be m(6). Solve 5*h = u - 13 for h.
1
Let v be (-6)/7*28/(-8). Let g(k) = k**3 - k**2 + 1. Let j(c) = -4*c**3 + c**2 + 4*c - 8. Let s(i) = -5*g(i) - j(i). Let u be s(v). Solve -r + 3*r = u for r.
0
Suppose 4*o = 4*k - 16, 0 = -k + 3*o + 6 + 2. Suppose 0 = 2*n + 7*l - k*l - 4, 5*n = -5*l + 10. Solve v + n = 1 for v.
-1
Suppose -3*w + 7 = i, -4*w + 7 = -2*i + 1. Let s(z) = 10*z**3 - 10*z**3 - 4*z**w + 3*z**2 - z**3. Let m be s(-1). Solve 0 = -m*g - 2*g + 4 for g.
2
Let p = 31 + -16. Let x = -13 + p. Suppose -4*g + 24 = -2*t, -5*g - x*t + 30 = -0*g. Solve -m + 15 = -g*m for m.
-3
Let h(n) = -7*n - 5271 - 2*n + n**2 + 5291. Let r be h(7). Solve -7*m - r = -m for m.
-1
Suppose -3*k = -4*b + 35 - 7, -5*k = 2*b - 14. Solve 20*c - 11*c + 27 = k for c.
-3
Suppose -11*m = -m - 190 + 20. Solve -10 - 41 = m*c for c.
-3
Suppose -20*p = -21*p + 68. Let q = -13 + p. Let j be (33/q)/((-3)/(-10)). Solve -j*w - 5 + 9 = 0 for w.
2
Let o = -1829 - -1834. Solve -o*n + 275 - 290 = 0 for n.
-3
Let f(u) = -11*u + 31. Let k(d) = 10*d - 31. Let s(v) = 5*f(v) + 6*k(v). Let q be s(7). Solve q*l = 5 + 3 for l.
2
Suppose 5*g + m + 19 = 3*m, -4*m = 12. Let a be -18 - -20 - (-5)/(g/(-3)). Solve -9*s - a = -4*s for s.
-1
Suppose 0 = 3*t + 1 - 7. Suppose 7 = c - 0. Suppose 40 = 4*p + 2*y, -9 = -4*y + c. Solve p = -t*u - 2 for u.
-5
Let l = 6484 - 6479. Solve 13*h = l*h + 40 for h.
5
Suppose 2*v + q + 36 = 7*v, 4*q - 48 = -4*v. Suppose v*r - 24 = -0*r. Solve -r*y = y for y.
0
Suppose 25 = -5*k, 5*k + 9 = -b - 13. Solve -11 = -b*r - 8 for r.
1
Suppose 0 = 27*i + 180 + 1143. Let y = i - -76. Solve 32*p = y*p - 15 for p.
-3
Suppose -10*i + 9*i = -20. Suppose -i = -4*a - q - 3, a = q - 2. Solve -3*r + 6*r = -a for r.
-1
Let n(t) = 3*t**2 - 2*t + 1. Let m be n(1). Suppose -3*b = -5*f + 9, -m*f + 2*b = 28 - 30. Solve f*q - 8*q = 0 for q.
0
Let x(u) = -u**3 + 6*u**2 + 4*u - 22. Let o be x(4). Suppose 115 = -3*y + o*y. Solve 0*l + y*l = -20 for l.
-4
Let q be (-90 + (-3 - 0))/((-12)/(-32)). Let g = q + 248. Solve g = -6*f + 13 - 1 for f.
2
Suppose 54*f = -44*f - 36*f. Solve 53*r + 27 + 132 = f for r.
-3
Let p = -371 + 385. Let f be 14/((-196)/(-50)) - 8/p. Solve -4 = -f*y - 16 for y.
-4
Let m = 3 - 1. Suppose 4 = -s + m*s. Suppose -5*t + 6 = -s. Solve -5*n = 3 + t for n.
-1
Suppose -11*l - 6*l + 34 = 0. Suppose -4*r + l*v + 6 = 0, -2*v + 2 = -2*r - 0*v. Solve r*n + 0 + 8 = 0 for n.
-2
Let l(r) = -r**3 - 4*r**2 + 11*r - 4. Let n be (1/(-2))/((-2)/3)*-8. Let h be l(n). Solve -5*m + 7*m + h = 0 for m.
-1
Suppose -q + 70 = -5*a, 1340*a - 1342*a = 4*q - 104. Let o(d) = 2*d**3 - 3*d**2 + 3*d - 3. Let k be o(3). Solve -q*z - 3 = -k*z for z.
1
Let n be 1241 + -64 + (-132)/11 + (-6)/(-2). Solve -n*c + 1155*c = 0 for c.
0
Let x be ((-6)/(-10))/((4/15)/4). Suppose 4*w - 3*l = 20 + 1, 4*w + l - x = 0. Solve 0*i = i + w for i.
-3
Let f be (-6)/(-84)*(1 - -13). Let d(c) = -c**2 + 7*c - 7. Let h be d(7). Let s(j) = j**3 + 6*j**2 - 8*j. Let w be s(h). Solve 0 = -2*p - w - f for p.
-4
Suppose -q - 41*i = -40*i - 260, q + 2*i = 266. Solve 254 = -34*n + q for n.
0
Suppose -141*x - 9*x = 16*x. Solve x = n - 0*n + 6 for n.
-6
Let m(c) = -7*c + 16. Let h be m(0). Suppose -q - 1 = -v, -4*q + h = -20*v + 21*v. Solve -v = -4*u + 2*u for u.
2
Let u = -123 + 306. Let y = u + -174. Solve v = y*v for v.
0
Suppose -m + 5 = 3*d, d - 15 = -3*m - 3*d. Let z = -310 - -310. Suppose 0 = -l - 6*k + k + 3, z = -3*l - m*k + 9. Solve l*f - 8 = -2 for f.
2
Let f = 61 - 58. Suppose -2*z + 50 = -2*s, 2*z - s = -f*z + 125. Solve 2*t = -3*t + z for t.
5
Let v(w) = -w**2 + 4. Let i be v(2). Suppose 0 = x + 4*h + 16, -2*h - 8 = -2*x - i. Let n be 2 + x + 1 + 1. Solve n*b = 3*b - 1 for b.
-1
Let x be (-14 + 14)/((-1)/(2/6)). Solve -16*y + 85 - 101 = x for y.
-1
Suppose 3134*a + 1218 = 3148*a. Solve 0 = a*d - 93*d - 18 for d.
-3
Let k(t) = -t**2 + 213*t + 4158. Let y be k(-18). Suppose -3*o = -5*u - 29, 5*o - 2 = -3*u + 1. Suppose -o*v + 3 = y, g = -v + 2 + 2. Solve -g*w = -w - 8 for w.
4
Let y(a) = 25*a**2 + 14*a - 50. Let z be y(3). Solve -7 = 32*c + z for c.
-7
Suppose 0 = -4*l + 61*h - 57*h + 400, 2*h = -l + 97. Solve l = -65*d - 161 for d.
-4
Suppose 2*h = 4*u - 16, -1 = 4*u - 5*h - 29. Solve -5*l - 15*l = -u*l for l.
0
Suppose 3*l - 5*c = 146, 25 = 3*c + 2*c. Suppose -35 = 3*f - 5*f - w, -3*w + l = 3*f. Solve
|
{
"pile_set_name": "DM Mathematics"
}
|
)**(-37) assuming z is positive.
z**(703/23)
Simplify ((g**(-3/2)*g**(3/5))**29)**(-1/53) assuming g is positive.
g**(261/530)
Simplify ((j/(j*j*j**(2/5)))**(-1/22))**(-6/31) assuming j is positive.
j**(-21/1705)
Simplify (v*v**(1/3))/v*v**(-1/54)*v**13/(v/(v/v**1)) assuming v is positive.
v**(665/54)
Simplify (o*o**(-10/13)/o)/(o*o*o**(3/11)*o)*o*o*o**6/o*o*o**11*o*o assuming o is positive.
o**(2425/143)
Simplify ((n**(-1/7)*n)/((n**(-2/35)/n)/n))/(n**(2/35)/(n*n**1)) assuming n is positive.
n**(34/7)
Simplify (((y/(y*y**(-1/6)))/(y/(y*y**(-4))))**(-10/7))**(-39) assuming y is positive.
y**(-1495/7)
Simplify (a/a**(-2/11)*a)**(2/15)/(a**(-15)*a**37) assuming a is positive.
a**(-1194/55)
Simplify (h/h**(-5/2)*h*h)/h*h**9/h*h*h**(-3/11)/h*h**(-1/7) assuming h is positive.
h**(1861/154)
Simplify (k/(k*k*k**(-1/8)))**(1/2)*k**4*k*k**(-4)*k assuming k is positive.
k**(25/16)
Simplify g**(-8)/((g**(-6)/g)/g)*(g*g**(1/2))**(-19/3) assuming g is positive.
g**(-19/2)
Simplify ((a**(-12)/a)/(a**(3/5)/a*a))/(a**(-3))**(-41) assuming a is positive.
a**(-683/5)
Simplify ((o/(o/(o*o*o**(-5)*o*o*o*o)))/o*o)/o**(-7)*(o/(o*o**(-2)*o))**(-20) assuming o is positive.
o**(-12)
Simplify ((m*m**(1/2)*m**1)/(m*m/m**2)**2)**(-1) assuming m is positive.
m**(-5/2)
Simplify (s**(-1/7))**(-5/6)/(s/s**13*s*s**(3/5)) assuming s is positive.
s**(2209/210)
Simplify ((r/r**28*r**(3/19)/r)**36)**(4/9) assuming r is positive.
r**(-8464/19)
Simplify (v*(v*v**(3/2))/v*v**(-39))**(-20) assuming v is positive.
v**730
Simplify ((n/(n/(n/(n**(19/2)/n*n*n))))/n*n**(-14))/(n/n**18)**(-4/5) assuming n is positive.
n**(-381/10)
Simplify (w**(-1))**(-33)/((w/((w/w**(8/9))/w*w))/w**24) assuming w is positive.
w**(505/9)
Simplify ((a*(a/(a*((a*a**(1/8))/a)/a)*a)/a*a**(-4)*a)/(a/(a**8/a)*a*a**6))**(-1/24) assuming a is positive.
a**(17/192)
Simplify (((c/c**(-1/5))/c)/c*c**(-3))**(-46) assuming c is positive.
c**(874/5)
Simplify (((m/(m/((m**22*m)/m)*m))/m)**6)**(11/6) assuming m is positive.
m**220
Simplify (o**11/o**(-1))/((o**(-1)*o)/o)**(-50) assuming o is positive.
o**(-38)
Simplify (b/((b*(b*b**(-1/6))/b)/b))**(-22/5)*b**(4/7)/(b/(((b/(b*b**2/b*b*b))/b)/b)*b) assuming b is positive.
b**(-1214/105)
Simplify (c/(c*c**(1/5))*c)**20*c*(c/((c/c**9*c)/c))/c*c/(c/(c/(c/c**(-9)*c))) assuming c is positive.
c**15
Simplify ((d*d**13/d)**9)**(4/31) assuming d is positive.
d**(468/31)
Simplify (d**1)**(-3/19)*d**7*d**(1/3) assuming d is positive.
d**(409/57)
Simplify (a**(-3/11)*a/a**(-8))/(a*a*a**(1/5))**(-31) assuming a is positive.
a**(4231/55)
Simplify ((d*d**(-17))/d*d/(d/(((d**13*d*d*d)/d)/d)*d*d))/(((d**(2/5)/d)/d)/(d*d*(d/d**(6/19)*d)/d*d*d)) assuming d is positive.
d**(122/95)
Simplify (((((z/(z**(2/9)*z))/z)/z)/z*z**0/z)/(z**(2/7)*z)**39)**(2/79) assuming z is positive.
z**(-6850/4977)
Simplify (h**(-1)/h*h*h/(h*h/(h/(h**(-5)*h))*h))/((((h/(h/h**(-15))*h)/h)/h)/h**26) assuming h is positive.
h**44
Simplify ((g**(2/3)/g)**(-13)*(g/(g/(g/(g/(g*g*g/g**(-2)*g*g)))))**(-2/43))**24 assuming g is positive.
g**(4136/43)
Simplify ((a**(-21)*a)/a)**(-4/11)/(a*a**(2/65)*a*a*a/a**(2/13)) assuming a is positive.
a**(2688/715)
Simplify d**14*d*d**(3/7)*d*d**15*d**(-8) assuming d is positive.
d**(164/7)
Simplify ((c**(-1/2)/c)/c*c*c*c**3*(c*(c/(c*c**(-1/4)))/c)**(4/33))**(-27) assuming c is positive.
c**(-1503/22)
Simplify (j/j**(-3)*j)**46/(j**2/(j/((j/j**(-2/21))/j)*j)) assuming j is positive.
j**(4828/21)
Simplify ((d**(-7)/(d*d**(3/2)*d))**34)**(-27) assuming d is positive.
d**9639
Simplify (g**(1/3))**(2/7)/(g**0*g*((g**(7/2)/g)/g)/g*g) assuming g is positive.
g**(-101/42)
Simplify ((f*f**(-4)*f)/f**(-2/103))**(1/27) assuming f is positive.
f**(-68/927)
Simplify x**(6/17)/(x/(x/x**(1/2)*x*x))*(((x**(-3)/x)/x)/x)/(x*x/(x/(x/(x/x**(2/41)*x*x)))) assuming x is positive.
x**(-4455/1394)
Simplify ((a**(1/3))**(-2/61)/(((a*a*a*a**2/a)/a)/(a**1*a)))**(-24) assuming a is positive.
a**(1480/61)
Simplify (j**(-3/2)/j**21)/(j*j*(j**(1/6)/j*j)/j*j*j)**(-1/11) assuming j is positive.
j**(-733/33)
Simplify (y**(2/13)*((y/(y*y**(-3/7)))/y)/y)/(y/(y**(8/5)*y)*y*y*y*((y**(-16)/y)/y)/y) assuming y is positive.
y**(7363/455)
Simplify (l*l*l*l**(-7)/l*l*l*l**(-28))/(l**(14/5)*l/l**(-4/11)*l) assuming l is positive.
l**(-1989/55)
Simplify (a**(1/2))**27/((a/(a**(-3/5)/a))/a)**(-9) assuming a is positive.
a**(279/10)
Simplify ((f/(f**(-9)/f))**(-3/10))**(-39) assuming f is positive.
f**(1287/10)
Simplify (q**(-7))**(2/79)*(q**(-4/7)*q)**(-23) assuming q is positive.
q**(-5549/553)
Simplify (s**3)**(-36)/(s*s*s**(-10/3))**(1/2) assuming s is positive.
s**(-322/3)
Simplify ((h**(-6)/h)**(-40))**(-15/2) assuming h is positive.
h**(-2100)
Simplify (h*h**(1/4)*h**(-3)*((h*h*(h/(h*h**1*h))/h)/h)**(-33))**(1/28) assuming h is positive.
h**(257/112)
Simplify ((y**(-14)/y)/(y*y/(y**0*y)))/((y/(y**(-2/33)/y*y))/y*y**0) assuming y is positive.
y**(-530/33)
Simplify ((a/a**21)**35)**(-9/11) assuming a is positive.
a**(6300/11)
Simplify ((((p/p**4)/p)/p)/p**0)/((p**12/p)/p**(1/8)) assuming p is positive.
p**(-127/8)
Simplify ((t/t**12)/t*t*t*t*t**(11/2)*t)/(t**(-16)*t**(-21)) assuming t is positive.
t**(69/2)
Simplify (z**(1/2))**(-31)/(z/z**(1/12)*z**9) assuming z is positive.
z**(-305/12)
Simplify ((i**(2/33)*i/(i/((i*i**(-22))/i)))**(2/53))**(-36) assuming i is positive.
i**(17376/583)
Simplify ((l**(1/6)*l*l)**23/((l*l*l/((l**(6/5)/l)/l))/l**(2/3)))**(2/19) assuming l is positive.
l**(467/95)
Simplify (f*f**(-2/17))**(-3/5)*(f/f**22)**(-3/16) assuming f is positive.
f**(927/272)
Simplify a/a**(-13)*a*(a*a/a**(-1/3)*a)/a*a*a*a*a/(a/(a/(a**(-1)*a*a)))*a/(a*(a**(-13)/a)/a*a*a) assuming a is positive.
a**(100/3)
Simplify (x**2)**4/((x**(-2/7)*x)/x)**14 assuming x is positive.
x**12
Simplify l**(2/9)/l*l*l/(l*(l**(-2/13)/l)/l)*l**(-1)*l*l**(-6/11) assuming l is positive.
l**(2356/1287)
Simplify (n**24)**(1/6)*(n**(7/4)/n)**(-21) assuming n is positive.
n**(-47/4)
Simplify ((j*j/(j**5*j)*j)/j*j*j*(((j/j**(1/2))/j)/j)/j)/((j/j**5)/j*j)**(-26) assuming j is positive.
j**(-217/2)
Simplify (b/b**17)/(b*b**(1/12))*b*((b*b**(1/7)*b)/b)/b*b**(-5/16)*b assuming b is positive.
b**(-5125/336)
Simplify (y/((y/(y*y*y*y**(-3/7)*y)*y*y)/y))**(-5)*(y*y*y**(-2/5))/(y**7*y) assuming y is positive.
y**(-674/35)
Simplify ((t**(-3/13)*t)/t)/t*t/t**(3/20)*(t*t/((t**7/t)/t))**(-3/7) assuming t is positive.
t**(1647/1820)
Simplify (l**13*l*l**(-38)/l)**(2/3) assuming l is positive.
l**(-50/3)
Simplify ((p**(-2))**(-27)*(p/p**(4/11))/(p/p**(-7)))**(7/4) assuming p is positive.
p**(3591/44)
Simplify ((q/(q**(-4/17)/q)*q)/q**(-22))**(-5/4) assuming q is positive.
q**(-2145/68)
Simplify (((q**(-1))**(-2/27))**4)**(-4/3) assuming q is positive.
q**(-32/81)
Simplify (b**(-6/11)*b**(-12)/b*(b/b**(-2/27))/b**6)**(6/25) assuming b is positive.
b**(-10972/2475)
Simplify (a**(-14)*a/(a/(a*a/(a*(a/(a**(-6/19)/a)*a)/a*a)*a)))/((a**(-2)/a)/(a**(2/9)*a)) assuming a is positive.
a**(-1897/171)
Simplify (j**4*j**(1/44)*j*j*j)/(j**(-10)*j)**(-9) assuming j is positive.
j**(-3255/44)
Simplify (u/(u*u**(-1/3)*u))**(-4/5)/(u**(3/4))**(-9/14) assuming u is positive.
u**(853/840)
Simplify (d**(2/5)*d/(d**(-1)/d)*(d/(d*d**(1/3)/d))/((((d**(1/4)/d)/d)/d)/d))**14 assuming d is positive.
d**(3283/30)
Simplify ((i**9/i)/i**17)/(((i**(-13)*i)/i)/(((i**(1/3)*i)/i*i)/i*i)) assuming i is positive.
i**(16/3)
Simplify ((t/(t*t**(1/2)))/(t*t**(-10/9)))/(t*t/((t*t*t**(10/7))/t)*t*t/t**(1/11)) assuming t is positive.
t**(-2591/1386)
Simplify ((i**(-3))**(10/11)*i**5*i**(-2/17))**(-5/13) assuming i is positive.
i**(-155/187)
Simplify r*r**(2/15)*r**(3/2)/r*r*(r/r**(6/13))**39 assuming r is positive.
r**(709/30)
Simplify (a/(a/(a/(a**(-3/4)*a))))**(-1/15)*a**(-12)*a*a/a**(-6)*a assuming a is positive.
a**(-61/20)
Simplify (m**(2/7)/(m**(-18)*m*m))/(m/m**(6/7))**(-1/12) assuming m is positive.
m**(1369/84)
Simplify (z/(z**(-2)*z))**(-7/3)/(z**(2/3)*z/z**(-2/11)) assuming z is positive.
z**(-215/33)
Simplify ((w/w**0)**(-2)/(w**6/(w/(w*(w*w**(-3/13))/w))))**(-5) assuming w is positive.
w**(505/13)
Simplify (x**(-16)*x)**(-26)/((x/(x*(x/x**(-9))/x*x))/(x**(4/3)/x)) assuming x is positive.
x**(1201/3)
Simplify ((((((u/(u*u**(-14)))/u*u)/u)/u)/u)**(-43))**(1/17) assuming u is positive.
u**(-47
|
{
"pile_set_name": "DM Mathematics"
}
|
+ r*l**2 + j*l and give k.
-2
Express (3*o - o**2 - 3*o)*(59 + 7 - 26)*(-5*o + 6*o + 4*o + (4 - 2*o - 4)*(1 - 1 - 2) + 3 - 3 - 2*o + 0*o + 3*o - 4*o) as z*o**3 + f*o**2 + k + g*o and give z.
-240
Express y - 3 + 3 + 0*y + y - 2*y + (4 + 2*y - 4)*(-2 + 2 - 3) - 3 - y + 3 + (0 + 0 + 3)*(6*y + 2*y - 5*y) + 0*y + 0*y + y in the form p*y + d and give d.
0
Express 1 - 15*f**2 + 19*f**2 + 24*f**2 + 1 as c*f**2 + i*f + r and give c.
28
Rearrange 178*n + 555*n - 17*n + 38*n + 658*n to the form x + v*n and give x.
0
Rearrange -6*i**2 + 6*i**2 + 253 + 36*i + 2*i**3 - 254 to the form h*i**2 + b + u*i**3 + z*i and give b.
-1
Rearrange (395 - 113*c - 198 - 200)*(-4*c**2 + 4*c**2 - c**2) to the form z*c**2 + f + p*c + d*c**3 and give d.
113
Express (105 - 105 - 65*g)*(-3 + 3 - 1)*(4*g + 3 - 3) in the form b + u*g + o*g**2 and give o.
260
Express (-9*x + 8*x + 0 - 7)*(-5*x - x + 4*x) - 2*x + 2*x**2 + 11*x**2 - 14*x**2 in the form c*x + h + t*x**2 and give t.
1
Express ((-3 + 7 + 0)*(-4*p - 2*p + 4*p) + (-6*p + p + 4*p)*(-2 + 0 + 0))*(3*p - 4*p - 5*p) as i + o*p + s*p**2 and give s.
36
Rearrange 162 - 51 + 1169*u**2 - 52 - 59 to z*u + p*u**2 + i and give p.
1169
Express (6*p - 9*p + 7*p)*(58 - 24 + 2*p - 28) as t + s*p**2 + g*p and give g.
24
Express (w + 2 - 1 + 0)*(-w + 2*w + 0*w)*(2168 - 79*w - 5*w - 2169) in the form b*w**2 + g + t*w + j*w**3 and give t.
-1
Rearrange (22 + 2*r - 22)*(-4*r**2 + 2*r**2 + 0*r**2)*(-106 - 21*r + 106) to the form m*r**3 + t*r**2 + v*r**4 + u*r + c and give v.
84
Express (-14 - 4 + 8)*(-3*i + 4*i - 2*i)*(2*i**2 + 2*i**2 - 5*i**2) as s*i**2 + d*i + g + n*i**3 and give n.
-10
Rearrange -122*r**2 + 4 + 29157*r - 29157*r to m + b*r + n*r**2 and give m.
4
Rearrange -2*t**2 - 2*t**2 + t**2 + (322 + 326 - 741)*(-t**2 - 4*t**2 + 3*t**2) to the form f*t**2 + r + b*t and give f.
183
Express -2*f**4 + 13*f + 5 - 18*f + 0 + 2*f + 2*f**2 as n + t*f**4 + m*f + i*f**2 + b*f**3 and give i.
2
Rearrange -458 + 31*z**2 + z - 480 + 925 to the form x*z**2 + c + i*z and give x.
31
Rearrange -27*x - x**3 - 5*x**2 + 2*x**4 + 20*x - 3 + 5*x**2 to the form r*x**2 + f*x**3 + p*x + i*x**4 + k and give i.
2
Express 414*l - 4*l + 111*l + 382*l - 156*l in the form y*l + m and give y.
747
Express (3*d + 0*d - 2*d)*(-3 - 12034*d + 24525*d - 12216*d)*(3 - 1 - 3) in the form q*d + x*d**2 + p and give q.
3
Express q - 1 - 3 + 3 + 3*q - 2 + 2 + 3 - q - 3 + q + 0*q + q + (0 - 2 + 4)*(-4*q + 0*q + 2*q) + 9*q - 5*q + 5*q as p + y*q and give p.
-1
Rearrange -8*q**3 - 100 + q**2 + 78 + 194*q - 194*q to the form i*q**3 + x + d*q**2 + r*q and give i.
-8
Express (203 + 14 + 44)*(2*n - n + 4 - 1) in the form d + x*n and give d.
783
Rearrange 0*y + 5*y**2 - 2*y - 11*y**3 + 4*y + 0 + 12*y**3 + 12 to the form c + a*y**2 + x*y**3 + f*y and give x.
1
Rearrange 16*h + 21*h + 21*h - 77*h + 21*h - 4*h**3 + 54*h**2 to x*h**3 + b + c*h + o*h**2 and give o.
54
Express (r - r + r)*(161 - 88 - 75 + 23*r**2) as n*r**3 + v + b*r + g*r**2 and give g.
0
Express 4*x - 4*x + x**3 - 4 + 4 - 4*x**3 + (73*x - 402 + 402)*(-x**2 - 2*x**2 + x**2) in the form g + l*x**2 + y*x**3 + o*x and give y.
-149
Express (-69*m - 96*m + 120*m)*(2*m**2 + 0*m**2 - 4*m**2) + (-2*m**2 - 1 + 1)*(0 + 4*m + 0) as o + z*m**3 + u*m + q*m**2 and give z.
82
Express -3*x + 3 - x**3 - 2 - x**3 + x in the form r*x + m*x**2 + p + l*x**3 and give l.
-2
Express -z**2 + 2*z**2 + z**2 - 8208*z**3 - z**2 + 8241*z**3 as u*z**3 + b + i*z**2 + v*z and give i.
1
Rearrange 11*r + 37*r**3 - 69*r**3 + 55*r + 34*r**3 to the form v + o*r + l*r**2 + w*r**3 and give w.
2
Rearrange (-c - c**2 + c)*(-2078 - 1034*c - 2*c**2 + 1034*c) to the form s*c + r + o*c**3 + n*c**4 + m*c**2 and give m.
2078
Rearrange z**4 + 57*z**2 - 3*z**4 - 166*z**2 + 58*z**2 + 6 + 50*z**2 to the form r*z**2 + i*z**4 + a + j*z + t*z**3 and give a.
6
Rearrange -3 + 15 - 37 + u + 2*u to the form t + r*u and give t.
-25
Express -2*k**4 - 2*k - 4*k**2 + 4*k + 58*k**2 + 52*k**2 + k**2 in the form h + z*k**4 + w*k + u*k**2 + d*k**3 and give w.
2
Rearrange -1 + 324984*a + 2*a**3 + 3 - 68*a**2 - 324986*a to t + l*a + w*a**2 + h*a**3 and give h.
2
Rearrange -167*c**2 + 165*c**2 - 11*c - 12*c to z*c + g*c**2 + v and give g.
-2
Rearrange -159*c**2 + 182*c**2 - 12*c - 14*c to the form g*c**2 + k*c + y and give k.
-26
Express -b + 6*b**4 + 3*b**2 + 3*b - 6*b**2 - 3*b as j*b**3 + g + o*b**4 + h*b + a*b**2 and give o.
6
Express 286*u + 286 - 63 - 283*u as a + l*u and give l.
3
Rearrange -164 + 85 + 38*t - t**2 + 3*t**3 + 77 to z*t**2 + u + b*t + k*t**3 and give u.
-2
Rearrange (54 - 6*n - 54)*(38*n**2 + 3*n**3 - 2*n**3 - 4*n**2) to p*n**4 + q + t*n**3 + c*n**2 + i*n and give p.
-6
Rearrange 2*l**2 + 5*l**3 + 21 + l**3 + l**3 + 1 - 5*l**3 to z*l**2 + o*l + x*l**3 + k and give k.
22
Express (4*x + 6 - 6)*(-4*x**2 - x**2 + 3*x**2) - 18*x**3 + 29*x**3 - 12*x**3 - 73*x as y*x**3 + n + h*x**2 + t*x and give y.
-9
Rearrange (1 + 4 - 4)*(-u + 2 - 2) + (-3 + 4 - 2)*(2 - 2 - u) + 5*u - 3*u + 0*u + 0 + u + 0 - 4*u - 10*u + 3*u + u + 2*u - 2*u to o + s*u and give s.
-7
Rearrange 356*x - 169*x + 169*x to the form s + t*x and give s.
0
Express (3*n - n + n)*(-2 - 12 + 3)*(4 + 4 - 1) in the form v*n + x and give v.
-231
Express 8760*u**2 - 8588*u**2 + 3 - 5 as q*u + m*u**2 + v and give v.
-2
Express (-k - 2*k - 23*k**2 - 3 + 19*k**2)*(-1 - 11*k + 0*k + 3*k) as q*k**3 + c*k + z + y*k**2 and give q.
32
Rearrange (18*c**4 - 43*c**2 + 38*c**3 + 129*c**2 - 88*c**2)*(-1 + 1 + 1) to the form f*c + b*c**4 + d + r*c**2 + v*c**3 and give r.
-2
Rearrange -145*a + 293*a + 17 - 142*a to the form h + u*a and give h.
17
Express -2*r**2 + 4*r**3 - 13*r**3 - 59 - 151 + 10*r**3 in the form a*r**2 + t + v*r**3 + j*r and give v.
1
Express (7 - 3 + 0)*(0 + 0 - 1)*(-11 - 2 + 1)*(1 - 3 - y - 1) in the form h + u*y and give h.
-144
Rearrange (-3*q + 3*q - 6*q + 0 + 21*q + 0 + 2*q - q + q + (-q + 2*q - 2*q)*(0 + 2 - 1) - q + 0*q - q)*(1 + 3 + 2) to the form b*q + k and give b.
84
Rearrange 131*o**2 + o**3 + 123*o**2 - 220*o**2 + o**3 - 3 to r*o**3 + t*o**2 + b + l*o and give r.
2
Rearrange -14*p**2 - 19*p**2 - 6*p**2 + 7*p - p**2 - 7*p + 2 - 5*p**2 - 2*p**2 + 5*p**2 + (-2 + 4 - 5)*(1 + p**2 - 1) to the form f*p + h*p**2 + v and give v.
2
Rearrange 496*q + 184*q - 2 + 2 to l + g*q and give g.
680
Rearrange -6*t**3 - 5*t**3 + 7*t**3 + (-3*t + 6*t - 29*t)*(-4*t - t**2 + 4*t) to s*t**3 + j + a*t**2 + m*t and give s.
22
Express (0 + 0 - w)*(-9 + 30 + 136)*(-6*w + 0*w + 4*w) as z*w + h + c*w**2 and give c.
314
Rearrange (w**2 - 2*w**2 + 2*w**2)*(0 - 2 - 1 + 4 - 2 - 1 + (-2 + 2 - 1)*(1 - 4 + 4) - 6 + 10 + 2) + 3 - 3 + 2*w**2 to the form a + n*w**2 + c*w and give n.
5
Rearrange -146*o - 17*o**3 - 154*o + 2*o**4 + 309*o to the form u*o**2 + y*o**4 + s*o**3 + l*o + t and give t.
0
Rearrange 13 + 18 - 2*s + 47*s**2 - 3*s**4 + 19 + 2*s**4 - 52 to h*s**2 + g*s**3 + q + o*s**4 + k*s and give o.
-1
Express (-2 + 2 + m)*(-5660*m**2 + 6230*m**3 - 79*m**3 + 5660*m**2) in the form c*m**3 + g*m + z*m**2 + p + j*m**4 and give c.
0
Express 40*f + 66 - 15*f - 13*f - 9*f + 64 as q*f + b and give b.
130
Rearrange -409*u + 336*u + 75*u - 543*u - 474*u to the form z + g*u and give g.
-1015
Express (2*z**3 - 2 + 2)*(-23*z - 31 + 31)*(6 - 13 - 47) in the form v + q*z**2 + r*z**4 + t*z + c*z**3 and give r.
2484
Rearrange 135*v**2 - 276*v**2 + 24*v + 138*v**2 + (-5*v + v - 2*v)*(-2 + 2 - v) to the form j + p*v**2 + k*v and give p.
3
Rearrange 0*z**3 - z**3 + 55*z - 96*z - 3 + 46*z to j*z + r + a*z**2 + c*z**3 and give c.
-1
Express -2*p**4 + 3*p**4 - p**4 + 2478*p**2 - p**3 + 65*p + 1 - 2477*p**2 + 2*p**4 in the form g*p + a*p**2 + q + j*p**4 + b*p**3 and give q.
1
Express -279*d - 493*d + 1166*d + 1197*d as v + b*d and give b.
1591
Rearrange (3 + 2 - 2)*(8 - 7 - 8*u**4 + 8*u**2 + 7*u**4) to the form k*u**3 + t*u**4 + m*u**2 + r + a*u and give k.
0
Rearrange 75*g - 2 + 73*g + 2 - 146*g to the form o*g + u and give o.
2
Rearrange f**4 - 32*f**2 + 0 + 693*f + 31*f**2 + 53*f**2 - 695*f + 1 to the form g*f**3 + x*f**2 + l + z*f**4 + s*f and give x.
52
Express (105 - 7 - 7)*(5 - 4 - 4)*(-1 + 1 + j) in the form p + m*j and give m.
-273
Express 2*i - i + i + (11 - 12 + 12)*(-19*i + 2*i - i) as o*i + g and give o.
-196
Express (3*f - 6*f + 5*f)*(4 - 17 + 5
|
{
"pile_set_name": "DM Mathematics"
}
|
t o(q) be the second derivative of q**5/20 - 31*q**3/6 - 43*q**2/2 + 55*q. Find the first derivative of o(k) wrt k.
3*k**2 - 31
Suppose 0 = 4*x + x - 15. Suppose 3*n - 7 = 5. What is the second derivative of -n*v - 44 - 3*v**x + 44 wrt v?
-18*v
Suppose 3*j = -y - 4*y - 17, -16 = 4*y + 3*j. Let r be y + (-15)/20*-4. Find the first derivative of -6*v**4 - 3*v**4 + 0*v**4 - 4 - r*v**4 wrt v.
-44*v**3
Suppose 3*y = 3*g + 54, 0 = 5*y - 3*g - 23 - 57. Differentiate -14*x - 42 + 14*x + y - x**2 with respect to x.
-2*x
Let o(g) be the second derivative of -g**10/560 - g**6/180 - g**3 + 4*g. Let c(i) be the second derivative of o(i). Find the third derivative of c(j) wrt j.
-1080*j**3
Let x(q) = -103*q - 19. Let v(g) = -309*g - 57. Let c(o) = -3*v(o) + 8*x(o). Differentiate c(r) with respect to r.
103
Let v(y) = y**3 + 6*y**2 + 2*y - 11. Let w be v(-5). What is the third derivative of -82*o**4 + 140*o**w - 87*o**4 + 33*o**2 wrt o?
-696*o
Let w(x) = -581*x**3 - 446*x**2. Let i(f) = 2*f**3 + 2*f**2. Let y(l) = 5*i(l) - w(l). What is the third derivative of y(t) wrt t?
3546
Let t(b) be the second derivative of 11*b**7/21 - 23*b**3/2 - 106*b. What is the second derivative of t(v) wrt v?
440*v**3
Let x(t) be the third derivative of 0*t**7 + 0*t**5 - 1/48*t**8 + 0*t**6 + 0*t**3 - 16*t**2 + 0 + 25/24*t**4 + 0*t. Find the second derivative of x(q) wrt q.
-140*q**3
Let o(g) be the second derivative of 39*g**5/10 + 85*g**4/12 - g + 36. Find the third derivative of o(m) wrt m.
468
Let i be (-6)/10 - 10/25. Let r be ((-33)/3 - 0)/i. Find the third derivative of h**5 - h**5 - 6*h**2 + 3*h**5 + r*h**2 wrt h.
180*h**2
Let y(j) = j**2 + 4*j - 8. Let l be y(-6). Differentiate -2 - 8 + 7 - 5 - 8*q**l wrt q.
-32*q**3
Let p(q) = -9*q**2 + 7*q + 3. Let m(h) = -h**3 - 8*h**2 + 6*h + 3. Let o(k) = 2*m(k) - 3*p(k). What is the second derivative of o(z) wrt z?
-12*z + 22
Find the first derivative of -510*n**2 + 9 + 104*n**3 + 510*n**2 - 17*n**3 wrt n.
261*n**2
Find the first derivative of -40 + 2*t**3 - 361*t**2 + 361*t**2 wrt t.
6*t**2
Suppose 94 = 2*u + 88. Let w = 1 - -2. What is the third derivative of -3*a**3 - 4*a**3 - 3*a**2 + 2*a**3 + w*a**u wrt a?
-12
What is the third derivative of -6*c + 2*c + 118*c**4 - 6*c + 14*c**2 - 50*c**4 + 238*c**4 wrt c?
7344*c
Let u(t) be the first derivative of -23/3*t**3 + 24 + 0*t**2 - 9*t. What is the first derivative of u(w) wrt w?
-46*w
Let k(y) = -470*y - 9. Let i(x) = -x - 10. Let a(f) = 14*i(f) + 2*k(f). Find the first derivative of a(n) wrt n.
-954
Let k(a) be the second derivative of -27*a**8/8 + a**4/6 - 17*a**2/2 - 44*a. What is the third derivative of k(q) wrt q?
-22680*q**3
Let p(a) be the first derivative of -11*a**3 + 17*a**2 - a + 64. Find the second derivative of p(z) wrt z.
-66
Find the second derivative of 3*i**2 - 21*i**5 - 76*i + 129*i - 98*i wrt i.
-420*i**3 + 6
Let y be 4/((-8)/(-30)) - 4. What is the derivative of -y - 31*g**3 - 6*g**4 + 31*g**3 + g**4 wrt g?
-20*g**3
Suppose 37 - 22 = 3*f. Let t(o) be the second derivative of -o**3 - 5*o + 0*o**4 + 0*o**2 + 0 - 3/5*o**f. What is the second derivative of t(k) wrt k?
-72*k
Let v(f) be the second derivative of 58*f**7/21 + f**6/15 - f**4/6 - 41*f**2 + 483*f. Find the third derivative of v(k) wrt k.
6960*k**2 + 48*k
What is the third derivative of -22*d**2 - 11*d**2 + 10*d**2 - 16*d**5 wrt d?
-960*d**2
Find the second derivative of 4 - o + 157*o**5 - 52*o**5 + 38 - o**2 + o**2 wrt o.
2100*o**3
Let c(h) = 3122 - 3122 - h. Let p(a) = 2*a - 2. Suppose -15 = -2*y - y. Let q(l) = y*c(l) + p(l). Differentiate q(o) wrt o.
-3
Let o = 20 - 1. What is the second derivative of -6*v**2 - o*v**2 + 14*v - 4*v**2 wrt v?
-58
Differentiate -30076*q**2 + 2*q - 669 + 29775*q**2 - q with respect to q.
-602*q + 1
Let u(g) be the second derivative of 31*g**7/3 + 205*g**4/6 - 267*g + 1. What is the third derivative of u(w) wrt w?
26040*w**2
Let o(m) = 3212*m**2 - 160*m + 5116. Let c(y) = 292*y**2 - 15*y + 465. Let x(l) = -32*c(l) + 3*o(l). What is the first derivative of x(b) wrt b?
584*b
Let i(m) = 17*m + 2. Let d be i(-1). Let g = 17 + d. Differentiate 9*x**3 - 9 + 1 + 1 - g wrt x.
27*x**2
Let y = 13 + -9. Suppose 0 = -q + 2*q - 3*m - 19, 0 = y*q - m - 32. Differentiate 7*i**2 - 5 - q*i**2 + 4*i**4 with respect to i.
16*i**3
Let g(z) be the first derivative of 17/2*z**2 + 2 - 10*z. Differentiate g(t) with respect to t.
17
Let l(z) be the second derivative of 201*z**8/56 + 25*z**4/6 - 90*z. Find the third derivative of l(w) wrt w.
24120*w**3
Let l(c) = -c**5 - c**4 - c**3 - c. Let f(i) = 24*i**5 + 6*i**4 + 6*i**3 + 34*i**2 + 7*i. Let n(t) = f(t) + 6*l(t). What is the third derivative of n(z) wrt z?
1080*z**2
Suppose 7*c = -13 - 57. Let h(t) = t**2 + 10*t + 11. Let i be h(c). What is the third derivative of r - 3*r + 2*r + 10*r**3 - i*r**2 wrt r?
60
Let j(c) be the third derivative of 13*c**8/42 - c**6/60 - 409*c**5/30 - 19*c**2 + 13. Find the third derivative of j(r) wrt r.
6240*r**2 - 12
Differentiate -183 + 485*y**3 + 486*y**3 + 25*y + 492*y**3 - 1457*y**3 with respect to y.
18*y**2 + 25
Let y(g) = -3*g**4 + g**3 - g. Let s(l) = 124*l**4 - 9*l**3 + 2*l. Let n(o) = -2*s(o) - 18*y(o). What is the second derivative of n(k) wrt k?
-2328*k**2
Let j(x) be the third derivative of -17*x**6/4 + 12*x**4 - x**2 + 350. What is the second derivative of j(c) wrt c?
-3060*c
Let p = 33 + -33. Suppose 2*k + 5 - 11 = p. Find the second derivative of -29*y + 6*y**5 + 33*y + k*y**5 wrt y.
180*y**3
Let h(a) = 32*a**3 - 71*a**2 + 5. Let z(v) = 160*v**3 - 356*v**2 + 24. Let c(t) = 24*h(t) - 5*z(t). What is the third derivative of c(x) wrt x?
-192
What is the derivative of -10 + 5 + 18*g - 120*g - 13 - 9*g wrt g?
-111
Let n(z) be the second derivative of -z**9/2520 - 2*z**5/15 - 2*z**4 - 10*z. Let v(x) be the third derivative of n(x). Differentiate v(o) wrt o.
-24*o**3
Let s(u) = -3*u - 7. Let a be s(-6). Differentiate -10 + 14 - 16*q**3 + a + 6*q**3 wrt q.
-30*q**2
Find the second derivative of -17*m**2 - 34*m - 39*m**2 - 50*m**2 - 26*m wrt m.
-212
Let y(z) be the third derivative of 35*z**5/12 - 155*z**3/6 - z**2 - 152. Differentiate y(s) with respect to s.
350*s
Differentiate 110*w**4 - 90*w**4 + 10 + 37 wrt w.
80*w**3
Differentiate -4*m - 4*m - 2 + 9*m**4 + 7*m + 23 wrt m.
36*m**3 - 1
Find the second derivative of -128*x - 269*x**3 - 126*x - 155*x + 130*x**3 wrt x.
-834*x
Suppose -4*h - 5*r + 10 = -6*r, -3*h + 3 = -3*r. Find the second derivative of 4*v**h - 11*v**2 + 0*v**3 + 9*v**2 - 49*v wrt v.
24*v - 4
Let u(p) = -2*p**4 - p. Let c(n) = -242*n**4 + 151*n**2 - 3*n. Let j(y) = -c(y) + 3*u(y). Find the third derivative of j(a) wrt a.
5664*a
Let v(o) = -3*o - 56. Let i be v(-20). What is the second derivative of -10*p - 12*p**4 - 3*p - 9*p**i - 28*p wrt p?
-252*p**2
Let w(l) = -4*l**3 - 358*l**2 + 459*l + 3. Let z(r) = 15*r**3 + 1438*r**2 - 1835*r - 11. Let v(q) = -11*w(q) - 3*z(q). Find the second derivative of v(y) wrt y.
-6*y - 752
Let v(c) be the second derivative of 31/12*c**4 - 10/3*c**3 - 36*c + 0*c**2 + 0. Find the second derivative of v(d) wrt d.
62
What is the third derivative of -394*s + 159*s**2 - 58*s**2 + 572*s**4 - 60*s**2 - 43*s**2 wrt s?
13728*s
Let y(d) be the third derivative of 47/60*d**5 + 0*d**4 + d + 0*d**3 - 4*d**2 + 0 - 7/60*d**6. Find the third derivative of y(h) wrt h.
-84
Let v be 508/(-16) + (-2)/8. Let c be (v/(-24))/((-4)/(-6)). What is the second derivative of -p + 11*p**c - 2*p - 3*p - p wrt p?
22
Suppose 18 = 4*d + 2*d. Differentiate -d - 61*h**3 - 8 + 90*h**3 - 2 wrt h.
87*h**2
Let g(a) = -17*a - 73. Let x(l) = -17*l - 72. Let w(b) = -5*g(b) + 4*x(b). Differentiate w(z) with respect to z.
17
Let w = -9 - -3. Let i = w + 11. Find the third derivative of 5*s**2 + 4*s**i - s**2 - 3*s**2 - 4*s**2 wrt s.
240*s**2
Let f(x) = -37*x**4 - 2*x**3 + 2*x**2 + 4*x + 11. Let n(z) = -z**4 - z**3 + z**2 + 2*z + 1. Let u(c) = 3*f(c) - 6*n(c). Differentiate u(q) with respect to q.
-420*q**3
What is the second derivative of -15*j**3 - 18*j**3 + 19*j**3 + 8*j - 2*j**2 - 66*j - 47*j wrt j?
-84*j - 4
Find the second derivative of -24*g - 37*g - 46*g**4 + 15*g - 4*g**4 wrt g.
-600*g**2
Let f(a) be the second derivative of 31*a**5/20 - a**4/12 + a**3/6 + 3*a**2 - 35*a + 1. What is the second
|
{
"pile_set_name": "DM Mathematics"
}
|
163 = 0. Is (-4 - i) + (-12)/3 a composite number?
True
Suppose -5*d = -1440 - 475. Let m = d + -118. Is m a prime number?
False
Let i(v) = v**3 + 3*v**2 + 10*v. Let s be i(12). Suppose 4*j + 6*k = k + 4530, -5*k = -2*j + s. Is j a composite number?
True
Suppose s - 4*s + 4158 = -3*u, -3*u = -2*s + 2777. Let m = -858 + s. Is m a composite number?
False
Suppose -3*j - 6*t + 10947 = 0, -14 + 6 = -2*t. Is j composite?
True
Suppose -5*t + 23 - 68 = 0. Is (4/3)/1 - 10797/t a composite number?
False
Suppose 3*z = -29 + 11. Let j(b) = 49*b**2 + 19*b + 7. Is j(z) a composite number?
False
Let o = 7400 + -205. Is o composite?
True
Let f = 17 - 6. Let m = f + -6. Suppose -2*g + 288 = -m*p, 4*g - 632 + 74 = p. Is g composite?
False
Let m = -162 - -25865. Is m composite?
False
Suppose n - 1177 = -2*j, -4*n = -j - 3*j - 4768. Is n a prime number?
True
Let a be -8*1*-1*22. Let q = 307 - a. Is q composite?
False
Let k = 377 - 913. Let r = 1687 + k. Is r prime?
True
Suppose -5*i = -4*m + m + 40, -3*m + 2*i = -34. Suppose 13*y - m*y = 2073. Is y prime?
True
Suppose -13*z + 2 = -12*z, 0 = 5*x - 2*z - 123811. Is x prime?
True
Suppose 6320 = 2*j - 5582. Is j a composite number?
True
Let b = -85 + 61. Is (-1622)/(-4) - b/16 a prime number?
False
Suppose 5*f = 12*f - 65009. Is f prime?
False
Let r be (11/(44/(-296)))/((-2)/61). Let t = r - -510. Is t a composite number?
False
Let c(j) = j + 16. Let m be c(-10). Let q = m - 3. Suppose 5*x - g - 3175 = 2*g, 0 = 4*x + q*g - 2540. Is x prime?
False
Suppose 26*o + 14587 = 27*o. Is o a prime number?
False
Let b(m) = 40*m**3 - 4*m**2 + 6*m - 1. Suppose 57 = -3*j + 66. Is b(j) a prime number?
True
Suppose 0 = -372*i + 370*i - 28. Suppose -4*y = -z + 19, 0 = 3*z + y + 4*y + 28. Is (-3)/(-6)*z*i a composite number?
False
Let r = 36 + -40. Is (-3474)/(-3) + (0 + 4)/r composite?
True
Let h(i) = -i**2 + 4*i + 7. Let m be h(5). Let x(l) = -l - 9*l**2 + 163*l**m + 50*l**2 + 2. Is x(1) prime?
False
Let r(c) = -c**3 - 2*c**2 + 3*c + 2. Let t be r(-3). Suppose -q - 4*y - 1901 = -t*q, 0 = -5*q - 4*y + 9433. Is q composite?
False
Suppose j = 5*n - 18, -4*j = n + 3*n - 24. Suppose f - o = 9, -24 + n = 5*o. Suppose -25 = f*k - 75. Is k prime?
False
Let z = 11 + -9. Let i(f) = 0*f**z + 24 + 6*f**2 - 15 - 8*f. Is i(8) a prime number?
False
Let k(u) = u**3 - 3*u**2 - 3*u - 2. Let g be 10/3 + (-4)/(-6). Let m be k(g). Is ((-393)/(-9))/(m/6) composite?
False
Suppose -5*l - 4 - 21 = 0, -l = -3*k + 14. Suppose k*n = n + 6. Suppose -n*j = 15, 5*j - 155 = 4*s - 1408. Is s a prime number?
True
Let x(f) = 98*f**2 - 8*f + 68. Is x(13) prime?
False
Let x = 91402 - 47903. Is x a composite number?
False
Suppose 29 = 5*h + 74. Let a = 25 + h. Suppose y - 65 = -a. Is y composite?
True
Let k(o) be the third derivative of -o**5/60 - o**4/12 + 143*o**3/6 - 7*o**2. Is k(0) prime?
False
Let j = -57 - -57. Suppose 0 = -3*d - j*d + 1419. Is d a prime number?
False
Let d = -12 - -16. Suppose -d*c - 68 = -480. Is c a prime number?
True
Let s be (-2)/10 + 14808/15. Suppose 5*q = -172 + s. Is q a composite number?
False
Let l(j) = j**3 + 3*j**2 + 2*j + 2. Let t(u) = 4*u - 4. Let o be t(-6). Let s = o + 31. Is l(s) prime?
False
Let n(d) = -210*d + 12 - 203*d + 14. Is n(-4) a prime number?
False
Let f(p) = -2*p**2 + p**3 + 11*p + p**2 - 2*p**3 + 13 + 10*p. Is f(-10) a composite number?
True
Suppose -5*q = -14626 - 53929. Is q a prime number?
True
Is (15683/(-2))/(3/(-6)) a prime number?
True
Suppose -585 = -2*y - 195. Let u = y - -536. Is u a composite number?
True
Suppose 0 = 5*u + 5*f - 9*f - 42045, -3*u = 4*f - 25259. Is u a prime number?
False
Let z = 8773 - 5873. Suppose 5*j = -5*m + z, -2*m = 3*m + 15. Is j prime?
False
Let z be (-126)/(-27)*6/7. Suppose 0 = -z*n + 3*i - i + 13388, 0 = -4*i + 16. Is n a prime number?
False
Let m(n) = -8*n**2 + 20 + 14*n**2 + 6*n**2 + 9*n. Is m(-9) prime?
True
Suppose -15*y - 4*y = 2128. Is (-1944)/(-14) + (-16)/y composite?
False
Suppose -2*n + 4 + 8 = 0. Let h = 1409 - 1406. Is 890*h/n - -4 prime?
True
Suppose 5*t - 9 = 1. Suppose -5*y = -3*b - 48, -4*b + 2*b = t*y - 16. Is y/((-18)/(-172)) + 3 a prime number?
True
Suppose -u + 25 = 2*q, 0 = -4*q - 2*u + 4*u + 70. Suppose 8*g - 3*g = q. Suppose -2*h = g*i - 237, -5 - 5 = -2*i. Is h prime?
False
Let y = 858 - -85. Is y prime?
False
Suppose 7*j - 4414 = -2*f + 11*j, -5*f = -5*j - 11025. Is f a prime number?
True
Let h be (-2)/(-16) - (-29253)/24. Suppose -2*y = -5*b - 629, -4*y - 4*b + b + h = 0. Is y composite?
False
Suppose 4*h + 3*t - 47845 = 0, 5*h + 33*t - 28*t - 59810 = 0. Is h composite?
False
Suppose -2*d = -6*d + 17580. Suppose 0 = -7*b - 8*b + d. Is b prime?
True
Suppose 41*v - 25*v - 160112 = 0. Is v composite?
False
Let v(b) = b**3 - b**2 - 4*b - 1. Let j be v(3). Suppose 0 = -j*k - 5, -228 - 273 = -2*z - 5*k. Is z a prime number?
False
Suppose -5*w + 30580 = 5*g, 4*g - 3*w = -w + 24446. Is g a composite number?
False
Let k = 1359 - 640. Is k a prime number?
True
Let v(n) = 2628*n**2 - 10*n - 3. Is v(-2) a composite number?
False
Let v(t) = 6*t**2 - 8*t - 41. Suppose 86 = 5*y + l, y + 3*l + 2 = 8. Is v(y) a prime number?
True
Let v(b) = b**2 + 3*b + 5. Let y be v(-2). Suppose l + 416 = y*l. Is ((-61)/(-4))/(4/l) a composite number?
True
Let i(d) = 3*d**3 + 7*d - 2*d - 4*d + 1 - 3*d**2. Let o be (-1)/((-3)/(-15)*10/(-8)). Is i(o) a composite number?
False
Suppose -4*i = -0*i - 16. Suppose 0 = 2*w - 0*w - i. Suppose -4*o + f + 1216 = -3*f, 5*f + 599 = w*o. Is o a composite number?
False
Let l be (-314)/10 + 8/20. Let f = l + 34. Suppose -3*p - h + 113 = -129, f*h - 173 = -2*p. Is p a prime number?
True
Suppose 0 = 3*l - 786. Is l a composite number?
True
Let p be (10/(-3))/(1/(-6)). Let t be 2/(-8) + 117/36. Suppose -t*a - 5*w + 80 = 0, -3*w + 0*w + p = a. Is a a prime number?
False
Is ((-2061690)/(-55))/6 + 12/(-22) a composite number?
False
Let w(g) = -g**3 + 6*g**2 + 5*g - 10. Let j be w(6). Suppose j = 5*t - 0, -5*t = -3*u - 821. Let y = 490 + u. Is y a composite number?
False
Let s(m) = 4*m**2 - 2*m - 10. Let c be s(-14). Let t = -1854 + 1285. Let a = c + t. Is a composite?
False
Let j(m) = 2141*m + 43. Is j(12) a composite number?
True
Suppose 4*w + 124 = -3*a - 70, -2*w = 4. Let t = 65 - a. Is t a prime number?
True
Suppose 0 = -24*a + 164127 + 113385. Is a prime?
False
Suppose 4*p = -2*a + 362, -a + 361 = 4*p - 0*p. Let o = p + 6. Let x = -37 + o. Is x a composite number?
False
Suppose 16*q - 12*q - 77187 = h, q = 3*h + 19294. Is q composite?
True
Let x(j) = 3*j**2 - 8*j + 14. Let k be x(4). Is (2051/(-3))/((-10)/k) a prime number?
False
Suppose 3*w = i + 4*i - 4048, -w + 3235 = 4*i. Is i prime?
True
Suppose v = 4*s - 3*v - 1760, 0 = -5*s - 3*v + 2208. Let q = s + -218. Is q prime?
True
Let f(h) = h - 8. Let w be f(12). Is 1*1580/(8 - w) a composite number?
True
Suppose -13*g + 5225 + 1977 = 0. Let k = g - -135. Is k composite?
True
Let w(u) = 15*u - 10. Suppose n - 16 = -3*n. Let s be w(n). Is (3 + -1 - -1) + s a composite number?
False
Suppose 4*w + 6 = 2*p, -5*w - 9 = -4*p + p. Suppose -j - 775 = -p*g, 4*g - 65 = -2*j + 975. Is g a prime number?
False
Let a(t) = -t**3 - 3*t**2 - 3*t - 3. Let y be a(-2). Let m be (7 + -5)/(y/(-2)). Suppose 8*i - 564 = m*i. Is i a prime number?
False
Suppose 0 = -4*f - 4*d + 2948, 7*f - 3645 = 2*f + 3*d. Suppose -4*a + f = -0*a. Suppose -6*m + 4023 + a = 0. Is m a composite number?
False
Is ((-8474)/10 - (0 - 2))*-5 composite?
True
Is 28/224 + (-3)/((-48)/86990) composite?
False
Let j be 3 + -2 - (-2463 - (-10)/2). Is j/4*4 + 0 prime?
True
Let h = 36799 - 12108. Is h a prime number?
True
Let o(y) = 3*y**3 + y**2 + 6*y + 8. Let n(h) = 5*h - h**2 + 5 + 2 + 3*h**3 + 2*h**2. Let x(g) = 7*n(g) - 6*o(g). Is x(4) a composite number?
True
Let r = 2 + 2. Suppose 3*q + 5*d + 32 = 0, r*d + 83 = -5*q + 8. Let h = q - -125. Is h a composite number?
True
Is (-2)/16 - (-606347)/152 a composite number?
False
Let j(k) = -677*k**3 - 2*k**2 + 9*k + 4. Let p(c) = 339*c**3 + c**2 - 4*c - 2. Let f(s) = -6*j(s) - 13*p(s). Let o be f(2). Is 6/10 - o/15 composite?
True
Let x(q) = -2*q**3 - 9*q**2 - 19*q - 6. Let s(y) = 5*y + 4*y - 23 + 26 + y**3 + 4*y**2. Let t(f) = -13*s(f) - 6*x(f). Is t(-2) composite?
False
Let c(h) = -h**2 - 8*h + 7. Let v b
|
{
"pile_set_name": "DM Mathematics"
}
|
2104
Find b such that -2*b**2/5 + 54110*b - 270548/5 = 0.
1, 135274
Let d**2/3 - 61754*d/3 + 953389129/3 = 0. What is d?
30877
Factor -2*f**2/3 - 222*f - 5508.
-2*(f + 27)*(f + 306)/3
Factor 2*c**3/15 - 20968*c**2/15 + 55145354*c/15 - 328611468/5.
2*(c - 5233)**2*(c - 18)/15
Determine x so that 12*x**4 - 2308*x**3 + 740*x**2 + 5396*x - 3840 = 0.
-5/3, 1, 192
Let -2*y**3/7 + 99348*y**2/7 - 397368*y/7 + 397360/7 = 0. Calculate y.
2, 49670
Solve -20*s**4 + 43632*s**3 + 104876*s**2 - 96072*s - 52416 = 0.
-3, -2/5, 1, 2184
Factor l**2 + 734490*l + 134868890025.
(l + 367245)**2
Factor q**3/8 - 13*q**2/4 + 121*q/8 + 78.
(q - 16)*(q - 13)*(q + 3)/8
Factor -5*k**3 + 3110*k**2 - 24620*k + 36840.
-5*(k - 614)*(k - 6)*(k - 2)
Let -5*z**4 + 5590*z**3 - 1556760*z**2 - 3180800*z + 12544000 = 0. What is z?
-4, 2, 560
Determine r, given that 12*r**5 - 45*r**4 - 174*r**3 + 111*r**2 + 504*r + 276 = 0.
-2, -1, 2, 23/4
Suppose -4*o**5 - 9464*o**4 + 9472*o**3 + 9464*o**2 - 9468*o = 0. Calculate o.
-2367, -1, 0, 1
Solve -x**3/5 + 4222*x**2/5 - 1688*x = 0.
0, 2, 4220
Suppose 2*v**3/9 + 23428*v**2/3 + 515174*v/3 + 8499040/9 = 0. What is v?
-35120, -11
Factor -n**3 + 299*n**2 + 300*n.
-n*(n - 300)*(n + 1)
What is d in -8*d**5/11 + 512*d**4/11 + 6*d**3/11 - 386*d**2/11 + 128*d/11 = 0?
-1, 0, 1/2, 64
Suppose -4*b**2/9 + 2652*b + 23904 = 0. Calculate b.
-9, 5976
Determine y so that 10*y**4/3 + 43626*y**3 - 1204906*y**2/3 + 78582*y = 0.
-13097, 0, 1/5, 9
What is z in 3*z**4 - 20103*z**3 + 33787809*z**2 - 368996985*z - 402804900 = 0?
-1, 12, 3345
Factor -2*w**3 + 250*w**2 - 7424*w - 24576.
-2*(w - 64)**2*(w + 3)
Let 2*d**2/13 - 72*d/13 - 1530/13 = 0. Calculate d.
-15, 51
Factor -18*q**2 - 2588*q/7 - 13200/7.
-2*(7*q + 66)*(9*q + 100)/7
Let -3*c**2/2 - 33291*c + 66588 = 0. Calculate c.
-22196, 2
Factor -3*o**3/2 + 4005*o**2 - 5330619*o/2 - 10725414.
-3*(o - 1337)**2*(o + 4)/2
Let 2*d**4/15 - 526*d**3/15 + 45506*d**2/15 - 89790*d + 1215012/5 = 0. What is d?
3, 73, 114
Factor 3*u**4/7 - 15213*u**3/7 - 60888*u**2/7 - 8700*u.
3*u*(u - 5075)*(u + 2)**2/7
Factor 5*v**2 - 15100*v - 45345.
5*(v - 3023)*(v + 3)
Factor -3*g**3 - 1860*g**2 + 13149*g - 11286.
-3*(g - 6)*(g - 1)*(g + 627)
Determine q, given that -3*q**3 - 37371*q**2 - 448128*q - 1344060 = 0.
-12445, -6
Determine s, given that 2*s**2/17 + 4610528*s/17 + 2657121054848/17 = 0.
-1152632
Let -2*g**3 - 156*g**2 + 182*g + 1896 = 0. What is g?
-79, -3, 4
Factor 2*c**2/3 - 5156*c/3 + 6864.
2*(c - 2574)*(c - 4)/3
Solve -3*u**2 - 64977*u + 129966 = 0.
-21661, 2
Factor 5*h**3 + 6250*h**2 + 2060765*h + 66320820.
5*(h + 36)*(h + 607)**2
Let -4*v**4/9 + 7052*v**3/9 + 49756*v**2/3 + 1047620*v/9 + 2447648/9 = 0. Calculate v.
-7, 1784
Let 45*n**5 - 8180*n**4 - 594605*n**3 - 1801320*n**2 + 1899500*n + 504560 = 0. What is n?
-53, -4, -2/9, 1, 238
Determine x so that -x**4/5 + 178*x**3/5 - 1341*x**2/5 - 644*x - 340 = 0.
-1, 10, 170
Suppose -4*a**4/7 + 272*a**3/7 + 19056*a**2/7 - 805120*a/7 - 35046400/7 = 0. Calculate a.
-40, 74
Let -5*w**4/3 + 76*w**3 - 501*w**2 + 2212*w/3 + 380 = 0. Calculate w.
-2/5, 3, 5, 38
Suppose 5*a**2 - 36660*a = 0. What is a?
0, 7332
Suppose -9*w**3 + 120*w**2 - 57*w - 666 = 0. What is w?
-2, 3, 37/3
Determine q so that q**5/3 + 40*q**4 + 2669*q**3/3 + 7302*q**2 + 23976*q + 27072 = 0.
-94, -12, -8, -3
Determine x, given that -2205*x**5 + 4467*x**4 - 2313*x**3 + 45*x**2 + 6*x = 0.
-2/49, 0, 1/15, 1
Factor -3*p**3 - 6249*p**2 + 31308*p - 25056.
-3*(p - 4)*(p - 1)*(p + 2088)
Determine f so that -2*f**5/19 - 22*f**4/19 - 36*f**3/19 + 112*f**2/19 + 128*f/19 = 0.
-8, -4, -1, 0, 2
Solve -3*z**2/4 - 48801*z/4 + 73215/2 = 0 for z.
-16270, 3
Suppose -2*z**3 - 1918*z**2 - 5740*z - 3824 = 0. What is z?
-956, -2, -1
Let 5*m**2 + 6405*m - 32150 = 0. What is m?
-1286, 5
Factor -c**2/3 + 324*c + 1948/3.
-(c - 974)*(c + 2)/3
Factor 5*q**3 - 160130*q**2 + 2881125*q - 12963240.
5*(q - 32008)*(q - 9)**2
Determine a so that -5*a**5/4 + 56*a**4 - 225*a**3/4 - 3707*a**2/2 + 4792*a + 1032 = 0.
-6, -1/5, 4, 43
Let -v**5 + 354*v**4 + 5513*v**3 + 8178*v**2 - 22036*v - 38376 = 0. Calculate v.
-13, -2, 2, 369
Determine v so that -5*v**2 - 11335*v + 11340 = 0.
-2268, 1
Find g, given that -g**4/6 - 2717*g**3/6 - 306907*g**2 + 2771680*g/3 - 1849600/3 = 0.
-1360, 1, 2
Suppose -2*p**3 + 166*p**2 - 1532*p - 3744 = 0. What is p?
-2, 13, 72
Solve 256*p**5 - 22720*p**4 + 39204*p**3 - 19872*p**2 + 3132*p = 0 for p.
0, 3/8, 1, 87
Factor -2*h**2/5 + 276*h/5 - 7344/5.
-2*(h - 102)*(h - 36)/5
Determine y, given that y**4/6 - 1037*y**3/3 = 0.
0, 2074
Determine w, given that 2*w**5/5 + 246*w**4/5 + 1884*w**3/5 + 5108*w**2/5 + 5538*w/5 + 414 = 0.
-115, -3, -1
Solve 2*l**5 + 218*l**4 + 7938*l**3 + 103006*l**2 + 256660*l + 161376 = 0.
-41, -24, -2, -1
Let -4*r**5 + 92*r**4 + 660*r**3 + 1028*r**2 + 464*r = 0. What is r?
-4, -1, 0, 29
Factor 2*o**4 - 508*o**3 - 6*o**2 + 1520*o + 1016.
2*(o - 254)*(o - 2)*(o + 1)**2
Suppose -5*q**5 + 2990*q**4 - 95340*q**3 - 304010*q**2 - 310015*q - 104340 = 0. Calculate q.
-1, 37, 564
Suppose -2*q**2 - 882*q + 59000 = 0. Calculate q.
-500, 59
Suppose -o**4/2 - 3527*o**3/2 - 21100*o**2 - 35150*o = 0. What is o?
-3515, -10, -2, 0
Factor 3*b**2 + 70374*b + 140736.
3*(b + 2)*(b + 23456)
Factor l**2/8 + 15*l/4 - 31/8.
(l - 1)*(l + 31)/8
What is k in 14*k**2/5 - 2628*k/5 - 752/5 = 0?
-2/7, 188
Find o, given that 2*o**5 + 33130*o**4 - 132546*o**3 + 99414*o**2 = 0.
-16569, 0, 1, 3
Solve -k**3/2 - 40875*k**2 - 163497*k/2 - 40874 = 0 for k.
-81748, -1
Factor r**2/11 + 29773*r/11.
r*(r + 29773)/11
Solve -k**2/11 + 571*k/11 = 0.
0, 571
Factor u**3/2 + 70*u**2 + 5525*u/2 + 21125.
(u + 10)*(u + 65)**2/2
Let 4*u**2 - 777928*u + 37823248324 = 0. What is u?
97241
Let 249*v**5/7 - 18930*v**4/7 - 77979*v**3/7 - 97212*v**2/7 - 37452*v/7 + 960/7 = 0. Calculate v.
-2, -1, 2/83, 80
Determine o, given that 2*o**3 - 14*o**2 - 560*o + 4352 = 0.
-17, 8, 16
Factor b**2/2 + 1413*b/2 + 245830.
(b + 620)*(b + 793)/2
Factor 2*o**2/5 - 742388*o/5 + 2227146/5.
2*(o - 371191)*(o - 3)/5
Let -108*o**5 - 1548*o**4 - 6285*o**3 - 10797*o**2 - 8244*o - 2268 = 0. Calculate o.
-9, -2, -3/2, -7/6, -2/3
Solve 5*a**4/2 + 205*a**3/2 - 110*a**2 - 210*a = 0 for a.
-42, -1, 0, 2
Suppose -4*j**3 + 4308*j**2 - 1283724*j + 116645020 = 0. What is j?
211, 655
Find f such that -4*f**2 + 42237*f/2 + 7920 = 0.
-3/8, 5280
Factor -w**3 - 1319*w**2 - 360523*w - 359205.
-(w + 1)*(w + 385)*(w + 933)
What is n in 4*n**4 - 2400*n**3 + 315988*n**2 + 13504200*n + 25725184 = 0?
-32, -2, 317
Determine g so that -2*g**3/9 - 74*g**2/9 + 10002*g + 10010 = 0.
-231, -1, 195
Find h such that -18*h**2 + 267206*h + 59380 = 0.
-2/9, 14845
Factor -5*r**4 + 965*r**3 - 3780*r**2.
-5*r**2*(r - 189)*(r - 4)
What is c in -c**2 - 1319*c - 44940 = 0?
-1284, -35
Solve -4*a**3 - 125516*a**2 - 501980*a + 627500 = 0.
-31375, -5, 1
Factor 2*q**3/3 - 2*q**2/3 - 1040*q.
2*q*(q - 40)*(q + 39)/3
Determine p so that 2*p**3 + 92*p**2 - 6658*p + 41412 = 0.
-87, 7, 34
What is g in 83*g**2 + 14195*g + 342 = 0?
-171, -2/83
Solve -5*o**5/3 + 46*o**4/3 - 48*o**3 + 54*o**2 - 9*o = 0.
0, 1/5, 3
Let -4*d**3 + 14584*d**2 - 13041920*d - 460441600 = 0. Calculate d.
-34, 1840
Suppose -v**3/9 + 1121*v**2/9 - 312472*v/9 - 315844/3 = 0. What is v?
-3, 562
Solve -9*k**4 + 1236*k**3 - 1617*k**2 - 2046*k + 816 = 0.
-1, 1/3, 2, 136
Find n such that -5*n**2 + 1815*n - 66010 = 0.
41, 322
Suppose -9*s**3 + 276*s**2 + 829539*s - 553146 = 0. What is s?
-289, 2/3, 319
Factor 2*i**2/9 - 77906*i/9 - 311656/9.
2*(i - 38957)*(i + 4)/9
Solve 5*s**2 + 200*s - 420 = 0.
-42, 2
Let b**4/4 - 2255*b**3/2 + 1687425*b**2 - 826536250*b - 17214755000 = 0. What is b?
-20, 1510
Determine z, given that z**4 - 533*z**3 + 4695*z**2 + 10993*z + 5764 = 0.
-1, 11, 524
What is t in -4*t**3 + 78732*t**2 = 0?
0, 19683
Factor -3*t**2 + 4956*t - 286560.
-3*(t - 1592)*(t - 60)
Let -a**4/2 - 92521*a**3/8 - 267000429*a**2/4 + 1457354732*a + 368510384 = 0. Calculate a.
-11576, -1/4, 22
Solve -5*x**4 - 2190*x**3 - 318060*x**2 - 15661890*x - 44181855 = 0 for x.
-177, -129, -3
Determine h so that -2*h**4/7 - 362*h**3/7 - 4392*h**2/7 - 576*h = 0.
-168, -12, -1, 0
Let 2*q**2/9 + 6152*q/9 + 26546/3 = 0. Calculate q.
-3063, -13
Factor -w**2/7 + 1595460*w/7 - 636373152900/7.
-(w - 7977
|
{
"pile_set_name": "DM Mathematics"
}
|
4.
-33302320
What is 1cc (base 14) in base 6?
1424
-18620 (base 10) to base 7
-105200
4a9 (base 14) to base 15
423
What is -6 (base 7) in base 10?
-6
Convert -1b0c5 (base 13) to base 2.
-1100111010011001
What is 67bb (base 12) in base 15?
362e
What is 2cde (base 15) in base 16?
25bb
Convert -2014 (base 5) to base 7.
-520
Convert 17454 (base 9) to base 4.
2330011
382 (base 16) to base 12
62a
-435661 (base 7) to base 15
-179dd
What is 4130 (base 13) in base 9?
13305
What is 311 (base 14) in base 13?
375
What is 2210 (base 4) in base 15?
ae
5577 (base 11) to base 5
213334
Convert 11 (base 12) to base 3.
111
Convert -46315 (base 7) to base 9.
-17184
What is -1810 (base 16) in base 8?
-14020
What is 9a42 (base 12) in base 10?
17042
Convert -858 (base 11) to base 10.
-1031
111112220 (base 3) to base 7
40542
-2aab (base 13) to base 9
-8476
What is 134433 (base 8) in base 5?
3004022
Convert 4133 (base 7) to base 14.
753
What is 39 (base 15) in base 4?
312
Convert -133221 (base 4) to base 2.
-11111101001
39cb (base 13) to base 2
10000001010111
What is -3b5c (base 16) in base 14?
-5776
-9bd (base 14) to base 8
-3613
Convert 230203 (base 4) to base 5.
42401
Convert 3242224 (base 5) to base 10.
55939
What is 9996 (base 11) in base 2?
11001101110101
Convert -342203 (base 6) to base 7.
-150414
What is -100001001001011 (base 2) in base 7?
-100323
What is -27 (base 14) in base 2?
-100011
What is -57 (base 8) in base 9?
-52
Convert 1100111111100 (base 2) to base 13.
3049
What is 442 (base 8) in base 11?
244
Convert 1270 (base 11) to base 4.
121302
What is 4a (base 16) in base 10?
74
-40 (base 16) to base 13
-4c
Convert 7157 (base 11) to base 16.
251c
What is 2021 (base 8) in base 13?
621
What is -410 (base 15) in base 16?
-393
-6063 (base 9) to base 10
-4431
-5d1d (base 14) to base 13
-7556
What is -1312334 (base 5) in base 6?
-320121
What is -1414 (base 12) in base 3?
-10011221
What is 10312 (base 5) in base 11?
593
-11313001 (base 4) to base 6
-303041
Convert -115015 (base 6) to base 15.
-3028
What is -3200213 (base 4) in base 5?
-430000
What is -12415 (base 10) in base 8?
-30177
What is -759 (base 13) in base 12?
-889
What is -110010111 (base 3) in base 5?
-240332
What is -135635 (base 7) in base 12?
-130a5
1000 (base 6) to base 12
160
What is -1314423 (base 5) in base 6?
-321250
939 (base 13) to base 2
11000100001
Convert 3820 (base 15) to base 6.
131203
Convert -298 (base 12) to base 11.
-338
What is 401 (base 5) in base 10?
101
Convert 141412 (base 6) to base 8.
32020
What is -102012120 (base 3) in base 13?
-3945
What is -9864 (base 12) in base 4?
-10012030
-3366 (base 8) to base 5
-24112
What is -144010 (base 6) in base 4?
-3120012
Convert 455242 (base 6) to base 15.
b742
Convert 25253 (base 6) to base 9.
5156
11505 (base 9) to base 7
31310
What is 18153 (base 12) in base 8?
103717
Convert -110011000101101 (base 2) to base 10.
-26157
What is -200221 (base 5) in base 4?
-1202213
Convert -416 (base 10) to base 7.
-1133
What is 111012 (base 3) in base 15?
18b
What is -7a10 (base 14) in base 5?
-1134212
10230 (base 4) to base 2
100101100
-750 (base 16) to base 4
-131100
-10101001111 (base 2) to base 3
-1212100
34712 (base 9) to base 14
8637
What is 173 (base 13) in base 11?
21a
What is 54042 (base 6) in base 3?
101002222
What is 6aa5 (base 12) in base 16?
2e9d
Convert -143230 (base 5) to base 7.
-23453
23843 (base 10) to base 7
126341
-60 (base 12) to base 6
-200
What is -bb (base 13) in base 9?
-181
What is 4b5 (base 12) in base 14?
38d
Convert -10101101111 (base 2) to base 7.
-4025
10 (base 12) to base 13
c
Convert -213b (base 15) to base 6.
-52315
Convert -70 (base 14) to base 5.
-343
Convert c027 (base 16) to base 3.
2111110220
Convert -130332 (base 5) to base 6.
-35324
-11111110010000 (base 2) to base 13
-7539
-1154 (base 9) to base 3
-1011211
Convert ac2 (base 16) to base 12.
1716
Convert -514 (base 11) to base 8.
-1154
What is -223 (base 16) in base 10?
-547
Convert 2257 (base 11) to base 2.
101110010110
6523 (base 7) to base 9
3157
Convert -33368 (base 9) to base 12.
-109bb
What is -10231 (base 5) in base 9?
-847
5bb (base 13) to base 3
1101000
Convert -11334 (base 9) to base 12.
-4464
5453 (base 6) to base 8
2351
-17374 (base 11) to base 2
-101111101010010
What is -12323 (base 4) in base 13?
-281
What is 4000 (base 6) in base 5?
11424
-30441 (base 5) to base 9
-2657
What is 1649 (base 16) in base 9?
7738
What is 1cf (base 16) in base 8?
717
What is 416 (base 8) in base 13?
17a
What is -10220102022 (base 3) in base 2?
-10010110000110010
What is 101000101 (base 2) in base 7?
643
13584 (base 13) to base 8
106411
What is 114044 (base 5) in base 6?
31442
96b6 (base 13) to base 9
31642
What is -2011 (base 3) in base 13?
-46
582 (base 9) to base 2
111011111
15cf6 (base 16) to base 8
256366
3a (base 15) to base 11
50
What is 145a (base 15) in base 16?
1108
Convert -1625 (base 10) to base 4.
-121121
Convert 1020 (base 9) to base 12.
523
What is 103305 (base 6) in base 4?
2011121
1212 (base 3) to base 7
101
-1200021 (base 4) to base 5
-144103
What is -32746 (base 10) in base 13?
-11b9c
What is -21c4 (base 13) in base 6?
-33511
-2722 (base 8) to base 2
-10111010010
Convert 1125 (base 11) to base 12.
a33
Convert -1186 (base 13) to base 14.
-c8c
What is 2201002 (base 3) in base 2?
11110110101
What is 311212 (base 4) in base 11?
2639
What is -7142 (base 11) in base 4?
-2110030
31110 (base 6) to base 10
4146
What is -1104 (base 7) in base 12?
-290
221002 (base 4) to base 6
20054
Convert 2063 (base 9) to base 14.
7a3
10211111 (base 3) to base 6
20534
What is 452 (base 6) in base 13?
107
Convert 172 (base 16) to base 11.
307
Convert -50 (base 12) to base 10.
-60
What is 530 (base 8) in base 5?
2334
-26324 (base 7) to base 11
-5307
What is -1613 (base 10) in base 7?
-4463
Convert -2380 (base 9) to base 5.
-24043
What is 11101001001 (base 2) in base 12?
10b5
What is -11122 (base 3) in base 11?
-104
What is 34610 (base 10) in base 5?
2101420
What is 4274 (base 12) in base 13?
3418
What is 44301 (base 8) in base 10?
18625
What is 36729 (base 10) in base 12?
19309
Convert -caf (base 16) to base 9.
-4407
2333 (base 8) to base 6
5431
Convert 1222 (base 5) to base 8.
273
-1211 (base 9) to base 11
-74a
Convert -22580 (base 10) to base 7.
-122555
Convert 256155 (base 7) to base 15.
e246
Convert 242e (base 15) to base 6.
55342
121220 (base 3) to base 6
2040
Convert 24956 (base 14) to base 7.
522236
What is 7 (base 16) in base 6?
11
c3 (base 16) to base 10
195
What is -1110101 (base 2) in base 14?
-85
What is -1230012 (base 4) in base 11?
-521a
1010012212 (base 3) to base 16
560c
Convert -5567 (base 8) to base 3.
-11000201
-75e7 (base 16) to base 2
-111010111100111
1435 (base 8) to base 9
1075
What is -1305 (base 7) in base 12?
-353
-3121 (base 4) to base 5
-1332
-360 (base 11) to base 8
-655
-81458 (base 9) to base 10
-53594
What is c0d (base 14) in base 6?
14541
Convert -35517 (base 8) to base 7.
-62160
-168 (base 11) to base 2
-11000011
6266 (base 8) to base 5
101004
What is -133201 (base 5) in base 8?
-12462
What is -976 (base 10) in base 16?
-3d0
What is -169 (base 14) in base 2?
-100100001
-303323 (base 4) to base 10
-3323
Convert -34402 (base 9) to base 13.
-a586
Convert -513 (base 7) to base 16.
-ff
Convert -72 (base 9) to base 2.
-1000001
-1014 (base 14) to base 5
-42022
Convert -1000001001110 (base 2) to base 7.
-15112
What is 22020 (base 6) in base 11?
2310
What is -3240031 (base 5) in base 3?
-2211022210
Convert 6577 (base 12) to base 7.
44410
What is 1583 (base 11) in base 5?
31102
What is 812 (base 10) in base 14?
420
Convert 2220002 (base 3) to base 11.
1647
Convert 4043 (base 6) to base 3.
1020000
335 (base 11) to base 12
295
What is -14351 (base 8) in base 7?
-24410
What is 10416 (base 7) in base 3?
10120200
10448 (base 10) to base 13
49a9
-262 (base 8) to base 12
-12a
What is 5146 (base 7) in base 6?
12154
What is -121063 (base 8) in base 7?
-232026
What is -2060 (base 7) in base 11?
-602
-12420 (base 11) to base 5
-1032214
Convert -71c4 (base 13) to base 14.
-5a20
What is -5628 (base 9) in base 13?
-1b7a
Convert 10000011001000 (base 2) to base 13.
3a87
Convert 130 (base 4) to base 10.
28
Convert 6122 (base 10) to base 5.
143442
What is 1643 (base 7) in
|
{
"pile_set_name": "DM Mathematics"
}
|
he third derivative of t**7/210 + 19*t**6/120 - 41*t**5/60 + 7*t**4/8 + 26*t**2. Solve a(q) = 0 for q.
-21, 0, 1
Let j(s) = s**4 - 64*s**3 + 120*s**2 - 72*s + 5. Let b(h) = 33*h**3 - 60*h**2 + 36*h - 3. Let d(u) = -5*b(u) - 3*j(u). Factor d(r).
-3*r*(r - 6)*(r - 2)*(r - 1)
Suppose -5*n = 3 + 7. Let h be 2/4 + (-1)/n. Find j such that 8 - j**2 - 4 - 2*j**2 - h - 3*j + 3*j**3 = 0.
-1, 1
Let d(m) be the first derivative of 2*m**3/21 - 4*m**2/7 - 6*m + 105. Suppose d(x) = 0. What is x?
-3, 7
Factor 208 - 416*r**3 - 2417*r**5 + r**2 + 7*r**2 + 2413*r**5 + 420*r - 216*r**4.
-4*(r - 1)*(r + 1)**3*(r + 52)
Let s = 124 + -116. Suppose -4*c - 4 = 2*r, 4*r = 10*c - s*c + 22. Solve 1/3 - 2/3*f**2 + 1/3*f**5 + 1/3*f**r - 2/3*f**3 + 1/3*f = 0.
-1, 1
Factor 48/5*t**2 - 4/5*t**3 - 84/5*t + 8.
-4*(t - 10)*(t - 1)**2/5
Factor 1651*s + 170*s**2 - 1651*s + 5*s**4 + 0*s**4 - 175*s**3.
5*s**2*(s - 34)*(s - 1)
Let t(n) = -12*n**2 - 75*n + 3. Let a(r) = 15*r**2 + 75*r - 4. Let i(v) = -3*a(v) - 4*t(v). Find h such that i(h) = 0.
-25, 0
Suppose 27*w = 3*l + 31*w - 26, w = 5*l - 5. Let k(r) be the first derivative of 6 - 2/21*r**3 + 0*r - 1/7*r**l. Factor k(f).
-2*f*(f + 1)/7
Let l(n) be the first derivative of -n**6/240 - n**5/80 + n**4/8 + 4*n**3 - 4. Let q(b) be the third derivative of l(b). Factor q(h).
-3*(h - 1)*(h + 2)/2
Suppose 18 + 22 = 2*z. Determine t so that 4*t + 37*t**2 - 22*t**2 - z*t**2 = 0.
0, 4/5
Let k(v) be the third derivative of v**6/30 - v**5/3 - 25*v**4/3 + 6*v**2 - 81*v. Find c such that k(c) = 0.
-5, 0, 10
Let a be ((-52)/(-4) - 2)/(-1). Let s = a - -13. Factor -4*k**2 - 2*k**4 + 2*k**3 - 2*k**5 + k**s + 5*k**2.
-2*k**2*(k - 1)*(k + 1)**2
Let c be 1/4 - (-660)/176. Let i(j) be the second derivative of 0*j**2 + 1/18*j**3 + 2*j - 1/90*j**6 + 0 - 1/60*j**5 + 1/36*j**c. Solve i(d) = 0 for d.
-1, 0, 1
Let c = 10 + -9. Let n(s) = -s**2 - s + 2. Let o be n(c). Factor 1/4*b**4 + 0 + b**2 + o*b + b**3.
b**2*(b + 2)**2/4
Suppose 17*z - 13*z = 0. Suppose 3*t - 12 = -t + 3*c, 0 = -3*t + 2*c + 8. Find f, given that z + t*f + 1/3*f**2 = 0.
0
Let f(t) = -3*t**2 + t + 3 + 2*t**2 + 2*t**2 - 1. Let c be f(-2). Factor 4*z**3 - 2*z**5 + 4*z**3 - c*z**3 - 2*z**3.
-2*z**3*(z - 1)*(z + 1)
Let h = 558 - 558. Let p(a) be the third derivative of 1/840*a**7 + 7*a**2 + 0*a**3 + 0*a**5 + 0*a + 0 - 1/480*a**6 + h*a**4. Let p(q) = 0. What is q?
0, 1
Suppose -3*z - 5*x = -17, -z + 4 = z - 4*x. Factor 8*s**2 - 54*s + 54*s - z*s**2.
4*s**2
Let q(o) be the first derivative of o**6/9 + 14*o**5/15 + 8*o**4/3 + 16*o**3/9 - 16*o**2/3 - 32*o/3 + 182. Determine v so that q(v) = 0.
-2, 1
Let g(a) be the first derivative of a**4/18 - 140*a**3/27 + 538. Factor g(z).
2*z**2*(z - 70)/9
Let a be 2/9 - (-10)/(-45). Let w be (a - 1)/(-7 - -5). Factor 0*z**2 - 1/2 - z + w*z**4 + z**3.
(z - 1)*(z + 1)**3/2
Let y be 1 - 136/(-12)*3/(-35). Let j(t) be the third derivative of 0*t + 0*t**4 + 0*t**3 + y*t**7 + 0 + 0*t**5 + 1/30*t**6 + 5*t**2. Factor j(w).
2*w**3*(3*w + 2)
Let x be 620/(-80) - (0 + -8). Factor 0*l - x*l**2 + 0 + 0*l**3 + 1/4*l**4.
l**2*(l - 1)*(l + 1)/4
Let y(d) = d - 10. Let z be y(10). Suppose l + 2*x - x - 4 = z, 8 = 2*l + x. Suppose -2*u + 3*u + 2*u**l + 2*u**5 - 3*u**5 - 2*u**2 = 0. What is u?
-1, 0, 1
Let u(i) be the first derivative of 4*i**3/3 - i**2 - 2*i + 3. Let v be u(-1). Factor 7*p**2 + v*p - 2 - 6*p - 3*p.
(p - 1)*(7*p + 2)
Let o(v) be the first derivative of v**4/16 + 2*v**3 + 45*v**2/8 + 11*v/2 + 327. Determine z so that o(z) = 0.
-22, -1
Let i(y) be the second derivative of 4*y**6/75 - 9*y**5/25 - 47*y**4/120 + 3*y**3/5 - y**2/4 - 96*y. Find l, given that i(l) = 0.
-1, 1/4, 5
Let f(x) = x**5 - x**3 + x - 1. Let i(r) = 62*r**5 - 112*r**4 + 62*r**3 - 13*r**2 - r + 2. Let m(d) = -10*f(d) - 5*i(d). Factor m(t).
-5*t*(t - 1)*(4*t - 1)**3
Let y = 873 - 870. Let -5/4*o**5 + 7/4*o - 1/2*o**y + 5/2*o**2 + 1/4 - 11/4*o**4 = 0. Calculate o.
-1, -1/5, 1
Let r(h) = -18*h**4 - 58*h**3 - 178*h**2 - 182*h - 60. Let g(i) = 2*i**4 - i**3 - i**2. Let s(n) = -8*g(n) - r(n). Factor s(p).
2*(p + 1)**3*(p + 30)
Let d(v) be the third derivative of v**7/210 - 47*v**6/480 + 7*v**5/10 - 57*v**4/32 - 9*v**3/4 - 24*v**2 + 2. Determine j, given that d(j) = 0.
-1/4, 3, 6
Let y(o) be the third derivative of -o**5/50 - 19*o**4/5 - 1444*o**3/5 + 5*o**2 + o. Factor y(j).
-6*(j + 38)**2/5
Let r(s) = -6*s**2 - 3*s - 5. Let q(y) = 8*y**2 + 5*y + 7. Let o(z) = -5*q(z) - 7*r(z). What is j in o(j) = 0?
0, 2
Suppose -4*y + 184 - 48 = 0. Let x = -29 + y. Determine d so that 15*d**x + 8*d**4 - 18*d**5 + 8*d**5 + 15*d**5 = 0.
-2/5, 0
Suppose -5*a - 31 = -4*r, a = -r - r + 5. Factor 6*q**3 + 9*q**2 - 6*q - r*q - 9*q**3 + 4*q.
-3*q*(q - 2)*(q - 1)
Let k = 116 + -72. Let z = k + -42. Let -1/5 + 1/5*v**z + 0*v = 0. What is v?
-1, 1
Let b(w) be the first derivative of -w**3/9 - 2*w**2 - 11*w/3 - 122. Let b(h) = 0. What is h?
-11, -1
Let k(m) be the third derivative of 0*m**3 + 0 + 0*m + 1/48*m**4 + 1/120*m**5 - 8*m**2 + 1/960*m**6. Factor k(t).
t*(t + 2)**2/8
Suppose 2 + 4 = 2*n. Determine x so that -2*x + 3*x**2 - 3*x**5 - n*x - x + 9*x**3 + 0*x**5 - 3*x**4 = 0.
-2, -1, 0, 1
Let p(y) be the second derivative of -1/90*y**6 + 1/5*y**5 + 0 - y**4 + 0*y**2 + 21*y + 0*y**3. Factor p(i).
-i**2*(i - 6)**2/3
Let a(d) be the second derivative of -d**7/42 - d**6/30 + d**5/10 + d**4/6 - d**3/6 - d**2/2 + d - 192. Factor a(k).
-(k - 1)**2*(k + 1)**3
Let q(h) be the second derivative of 11*h + 0 + 1/165*h**6 + 0*h**3 + 1/22*h**4 - 1/231*h**7 + 1/22*h**5 + 0*h**2. Factor q(v).
-2*v**2*(v - 3)*(v + 1)**2/11
Suppose 11*w - 10*w - 4 = 0. Let -3*m - m - 69*m**3 + 35*m**3 - 4*m**4 + w*m**2 + 38*m**3 = 0. What is m?
-1, 0, 1
Factor 16/3*x + 2/3*x**2 + 14/3.
2*(x + 1)*(x + 7)/3
Let c(z) = -z**2 - 6*z - 4. Let r be c(-5). Let j = r - -5. Factor -5*o**3 + j*o**2 - 6*o**3 + 6*o**4 + 2*o**3 - 2*o**3 - o.
o*(o - 1)*(2*o - 1)*(3*o - 1)
Factor 326*s - 7*s**2 - 8*s**2 + 14*s**2 - s**2.
-2*s*(s - 163)
Let d(n) = 2*n**2 + n - 2. Let m be d(-10). Factor m*r**4 + 4*r**5 + r**2 - 192*r**4 + 3*r**2 - 4*r**3.
4*r**2*(r - 1)**2*(r + 1)
Suppose f = 0, 5*r - 30 = -f - 0*f. Factor -r*g**3 - 4 + 11*g**3 - 10*g**2 + 4.
5*g**2*(g - 2)
Suppose 0 = -38*m + 41*m + 2*v, -2*v = 0. Suppose m*s + 0 + 0*s**2 - 1/5*s**3 + 0*s**4 + 1/5*s**5 = 0. What is s?
-1, 0, 1
Let o = 3 + -3. Suppose o*a - 3 = -a. Find z such that 9*z + a + 0 + 3 - 15*z**2 = 0.
-2/5, 1
Let u(w) be the second derivative of -1/273*w**7 + 686/39*w**4 - 11*w - 2401/39*w**3 + 2 - 147/65*w**5 + 28/195*w**6 + 0*w**2. Suppose u(c) = 0. Calculate c.
0, 7
Suppose -9 + 12 = -k. Let z be 3/(k/(-2))*1. Let 44*o**3 + 64*o + 119 + 130 - 4*o**4 + 7 - 65*o**z - 79*o**2 = 0. What is o?
-1, 4
Let u(q) = 5*q**5 + 9*q**4 - 20*q**3 - 41*q**2 - 2*q + 1. Let n(d) = d**4 + d**2 + 2*d - 1. Let v(o) = -n(o) - u(o). Factor v(f).
-5*f**2*(f - 2)*(f + 2)**2
Factor 16/7*i**2 + 0*i + 4/7*i**5 + 0 + 36/7*i**3 + 24/7*i**4.
4*i**2*(i + 1)**2*(i + 4)/7
Let r(u) = -u**2 + u + 1. Let p = 8 - 2. Suppose 3 = -12*m + 9*m. Let t(f) = -4*f**2 + 12*f + 10. Let l(g) = m*t(g) + p*r(g). Suppose l(o) = 0. What is o?
-2, -1
Let l(b) be the third derivative of -b**6/200 - b**5/10 - 4*b**4/5 - 16*b**3/5 - 3*b**2 - 4*b. Determine x so that l(x) = 0.
-4, -2
Suppose -1/2*o**2 - 7 - 9/2*o = 0. What is o?
-7, -2
Let p(m) = m**2 - 1. Let c be p(1). Factor c*f**2 + 2*f + 3*f**2 + f.
3*f*(f + 1)
Let f(z) be the third derivative of -z**8/1176 - z**7/735 + z**6/140 + z**5/210 - z**4/42 - 46*z**2 + z. Solve f(s) = 0 for s.
-2, -1, 0, 1
Suppose -5*x + 15 = 5. Let b be 12/(-18)*(-15)/x. Solve -5*z**5 - b*z**5 + 7*z**5 = 0.
0
Let 124*m**4 - 56*m**4 - 66*m**4 - 53*m**4 - 6*m**3 = 0. What is m?
-2/17, 0
Let l = 31 - 29. Let r be 1*(-2 - -1) - -3. Factor 5*d**2 - 2*d**r - 2*d**l + 3*d.
d*(d + 3)
Let n = -9 - -11. Suppose -n*v + 0*v = 0. Find m, given that -m + 1 - m**2 + 20*m**3 - 19*m**3 + v*m**2 = 0.
-1, 1
Factor 32 - 8*k - 937*k**2 + 1874*k**2 - 941*k**2.
-4*(k - 2)*(k + 4)
Suppose -441 = 4*h - 21. Let o be (-98)/h*12/14. Find p, given that -2/5*p**3 - o*p**2 + 0 + 0*p + 6/5*p**4 = 0.
-2/3, 0, 1
Let f = 18 - 16. Factor -8*i + 2 - f + 4*i**2 - 6*i**2.
-2*i*(i + 4)
Let j(o) be the first derivative of -o**4/5 + 32*o**3/15 - 42*o**2/5 + 72*o/5 + 18. Factor j
|
{
"pile_set_name": "DM Mathematics"
}
|
e.
u**(-10416/473)
Simplify (l**(-1))**(-1/3)/((l*l**15)/l**(2/17)) assuming l is positive.
l**(-793/51)
Simplify ((k*k**1)**(-29/2)/(k/((k**(-3)/k)/k*k))**31)**21 assuming k is positive.
k**(-3864)
Simplify ((s*s**(-3/4))/s**(-6/7))**38 assuming s is positive.
s**(589/14)
Simplify (d**(-5/3)/d*d*d**26/d)/(d/d**(-1/5))**47 assuming d is positive.
d**(-496/15)
Simplify t**(-6/7)/(t*t*t**(3/17)*t*t)*(t**(14/5)/t)**34 assuming t is positive.
t**(33419/595)
Simplify ((x**(-2/9)*x**2)/(x*(x*x*x**(-2/3))/x*x**2))**28 assuming x is positive.
x**(-392/9)
Simplify (j/(j/(j*j*j**3))*j)**(-14)/(j**5)**48 assuming j is positive.
j**(-324)
Simplify (((d**1/d)/d)/d)**(-2/51)/((d**(1/8)/d*d)/((d**(-16)*d)/d*d)) assuming d is positive.
d**(-6139/408)
Simplify (j**(-9))**(-45)*(j*j**13*j)**(-2/23) assuming j is positive.
j**(9285/23)
Simplify (f**(-5)*f*f**(-14))/(f*f**4*f)**(1/27) assuming f is positive.
f**(-164/9)
Simplify ((z*z**(5/8))/z**(-1/7))/((z/((z/z**3)/z*z))/z**(-2/5)) assuming z is positive.
z**(-457/280)
Simplify ((q*q*q**(-7)/q*q**(1/6))/((q**(2/5)*q)/q**(2/3)))**(-32/3) assuming q is positive.
q**(3152/45)
Simplify (((b*b**(-1))/(b**(3/10)/b))/(b**(1/2))**(-5/6))**28 assuming b is positive.
b**(469/15)
Simplify h*h**(-3/20)*h**(-5)*(h*((h/h**(1/10))/h)/h)/h**22 assuming h is positive.
h**(-105/4)
Simplify (c/((c*c*c**8)/c)*c**(-11))/((c**(1/19)*c)/c**(2/5)) assuming c is positive.
c**(-1867/95)
Simplify (g**(-17))**(-18)*(g/(g/((g*g**(-13/4)*g)/g)*g))/g**7 assuming g is positive.
g**(1183/4)
Simplify ((n/(n**(2/45)*n))/(n*n*n**(-10/9)*n))/(n/(n*n*n**23)*n*n**16/n) assuming n is positive.
n**(91/15)
Simplify ((((i*i**(9/2)/i*i*i)/i)/i)/(i/(i/(i*i**11)*i)*i))/(i/i**0*i**(1/3)) assuming i is positive.
i**(-53/6)
Simplify ((o*o/o**(1/3))**47/(o/o**9*o*o*o**(-1/4)))**30 assuming o is positive.
o**(5075/2)
Simplify ((f**(-16)/f*f**(2/3))**(-50))**(-13) assuming f is positive.
f**(-31850/3)
Simplify ((p*p*p**(2/7))**(-18)*(p**(-1/2)*p)**27)**(9/5) assuming p is positive.
p**(-3483/70)
Simplify ((((o/(o**(3/8)*o))/o)/(o/o**7))/(o**(3/5)*o**(-6)/o))**31 assuming o is positive.
o**(13671/40)
Simplify (l*(l**(-18)/l)/l)**(-13)/(l**(-1/16)*l/(((l/l**6)/l)/l)) assuming l is positive.
l**(3825/16)
Simplify ((w**0*w)/(w/w**(-1/10)))/((w/(w**(-2/31)*w*w))/w*w/(((w/w**0)/w)/w)) assuming w is positive.
w**(-51/310)
Simplify (s**5)**(-9)*((s/(s/((s/(s/s**(-3/7))*s)/s*s*s))*s)/s)**(-37) assuming s is positive.
s**(-722/7)
Simplify (j**(-6))**(4/29)/(j**(-1/5))**(-7) assuming j is positive.
j**(-323/145)
Simplify (j/j**(6/7))/(j/j**(-2/5))*(j*((j/(j*(j/(j**(-3)/j)*j)/j))/j)/j)**50 assuming j is positive.
j**(-10544/35)
Simplify ((q**1*q)**(-12/5)*(q*q**0*q)/q*q*q**(1/10)/q)**31 assuming q is positive.
q**(-1147/10)
Simplify (((z**0)**(-11/3))**(4/5))**35 assuming z is positive.
1
Simplify l*l*l**(-9/2)/l*l*l*l**10*(l*l/l**2)**(-35) assuming l is positive.
l**(17/2)
Simplify k**(-4/7)*k**16*((k**(-5)*k)/k)**19 assuming k is positive.
k**(-557/7)
Simplify (u*u**(-1/3))**35*(u**(-2))**(-38) assuming u is positive.
u**(298/3)
Simplify (((c*c**(-15))/c)/c**11)**(-22/7) assuming c is positive.
c**(572/7)
Simplify (n**(-2/31)*((n*n*n/(n*n**3))/n)/n)/(n/(n*n**(-2/3))*n*n**13*n) assuming n is positive.
n**(-1742/93)
Simplify ((c*c**0)/(c**(-6)*c)*(c/(c*c**(2/5))*c)**(-46))**(-1/33) assuming c is positive.
c**(36/55)
Simplify (a**0)**44*(a/a**(-3/2)*a*a)**(18/5) assuming a is positive.
a**(81/5)
Simplify w**6*(w*w/((w/(w/(w*w*(w/(w*w/(w*w*w**6)))/w)))/w))/w*w**21/(w**(1/4)*w) assuming w is positive.
w**(79/4)
Simplify (((v*v**(-3/5))/v)/(v*v*(v/v**(-7))/v)*(v**(-2))**29)**(13/2) assuming v is positive.
v**(-2197/5)
Simplify (q**(2/11)*q*q*(q*q*q**(2/9))/q*(q**2/q)/q**(-2))**(-35) assuming q is positive.
q**(-22190/99)
Simplify (i/(i/(i**(2/15)/i))*i/((i**12*i)/i))/(((i/(i*(i*i**(-7)/i)/i))/i)/i**(-1/4)) assuming i is positive.
i**(-1147/60)
Simplify (((l**(-6)*l*l)/l)/l)**(-1/7)/(l**(2/3))**(-14) assuming l is positive.
l**(214/21)
Simplify ((z**(-1)*z**3*z)**(12/11))**(-25/6) assuming z is positive.
z**(-150/11)
Simplify (d*d*d*(d*d**29)/d*d**(-1/12))**(7/3) assuming d is positive.
d**(2681/36)
Simplify (n**(1/2)/n)**(-25)/(n**(-7)*n**6) assuming n is positive.
n**(27/2)
Simplify (g*g**22)/(g**(-1/19)/g)*(g*g/(g**(-9)/g*g)*g)**19 assuming g is positive.
g**(4789/19)
Simplify i*i**(-1/12)/i*i*i/(i*i**4)*((i**(-1/3)*i)/i)**(1/13) assuming i is positive.
i**(-485/156)
Simplify (w/((w**8/w)/w)*w**(-13))/((w*w**(-6))/w)**(9/11) assuming w is positive.
w**(-144/11)
Simplify p**(2/61)*p**(-2/41)*((p/(p/((p**10*p)/p)))/p)**30 assuming p is positive.
p**(675230/2501)
Simplify (v/(v/v**(-34))*v*v*v*v/(v/(((v/v**(-26/7))/v)/v)))/(v*v**(-2/7)*v*v**20) assuming v is positive.
v**(-50)
Simplify (o**(-1/4)/o)/(o*o/(o/((o/(o*o*o**(-9)))/o)))*(o/((o*o**(1/3)*o)/o*o)*o)/(o*o**(2/11)) assuming o is positive.
o**(-1421/132)
Simplify (f**(-2/19))**(-44/3)/((f/((f*f**(-3/4)/f)/f))/f*f*f**(-6/5)) assuming f is positive.
f**(-7/1140)
Simplify (y**(4/7)*y**(3/10)*y)/((y**(1/7)*y)/((y*y**11/y)/y)) assuming y is positive.
y**(751/70)
Simplify ((s*s/s**20)/s*(((s/(s**(1/26)/s))/s)/s)/s)/((s*s**(-3/2))/s)**(-12) assuming s is positive.
s**(-989/26)
Simplify (l**(-17))**(2/95)/((l/l**(-35))/l*l**(1/10)*l*l) assuming l is positive.
l**(-7117/190)
Simplify (u/(u*u**(11/4)*u))**(-17)/(u/u**(-8)*u**(-4/21)) assuming u is positive.
u**(4615/84)
Simplify ((m/(m/m**(-1/2)))**(-3/23)/(m**(-1/2)*m**(-5/2)))**(-25) assuming m is positive.
m**(-3525/46)
Simplify m**(-1/3)*m**(-5/3)*m**(-2/3)/m*m*m*m**(-1/18) assuming m is positive.
m**(-31/18)
Simplify ((c/((c*c**25)/c))/c)**(1/3)*c*(c*c**(-4)/c)/c*c*c*c*c**(-1/27)*c assuming c is positive.
c**(-226/27)
Simplify (s**3/s)**(-1/25)/(s**(-11)/s*s**(1/4)*s) assuming s is positive.
s**(1067/100)
Simplify (q**(14/3)*q**(-1))**(-4/9) assuming q is positive.
q**(-44/27)
Simplify (b*b/(b*b/b**(-2/77))*b*b*b*b/(b*b**36))/((b/(b**(-31)*b*b))/b**(-4/13)) assuming b is positive.
b**(-63397/1001)
Simplify (n**(1/2))**50/(n*n**20/n*n**(-9/5)) assuming n is positive.
n**(34/5)
Simplify (r**(-1/7)/(r*r**(-1/3)/r))/(r**(3/13)/(r/r**9)) assuming r is positive.
r**(-2195/273)
Simplify (((((q**(2/5)/q)/q)/q)**(-35))**(-3/11))**(-32) assuming q is positive.
q**(8736/11)
Simplify (m**(-19)/m*m*((m*m*m**(3/11)/m)/m)/m)/((m**(2/13)/m)/m)**(1/65) assuming m is positive.
m**(-183101/9295)
Simplify u**(-1/10)*u**(15/8)*u*u**(2/15)*u**(5/4) assuming u is positive.
u**(499/120)
Simplify (g**(-1/5))**(5/8)/(g**(-5/2))**(-44) assuming g is positive.
g**(-881/8)
Simplify (p*p/((p*p/(p/((p*p/(p**(1/5)/p))/p)))/p*p))**9/((p**4*p)/p)**(-4/17) assuming p is positive.
p**(-532/85)
Simplify u/((u**(-7)/u)/u)*u**(8/7)*(u**(1/12)/u*u*u)/u*(u**4/u)/u assuming u is positive.
u**(1111/84)
Simplify u**(2/37)/(u/(u*u*u*u**(-1/4)/u)*u*u)*(u/(u*u*u**(-2)*u))/(u*u/u**(-8)) assuming u is positive.
u**(-1657/148)
Simplify (g**5)**(-2/15)/(((g*g/(((g**(-13)/g*g)/g)/g))/g)/((g**(3/2)/g)/g)) assuming g is positive.
g**(-103/6)
Simplify ((l*l/((l**13*l*l)/l*l))/l**(-4/3)*l**(1/4)/l*l/l**(-2/7))**15 assuming l is positive.
l**(-4675/28)
Simplify (s*s**(-19)*s**(-6/5))/(s/(s*s**19*s)*s**(-3)) assuming s is positive.
s**(19/5)
Simplify ((p/p**(-3))/p*p*p/(p/(p*p**(-5/2))))/((p/(p*p**7*p))/p*p**(-12/11)*p) assuming p is positive.
p**(255/22)
Simplify (((x/x**(3/8))/x)/(x/(x*x*(x**(2/9)/x)/x)))/(x**(1/5))**15 assuming x is positive.
x**(-299/72)
Simplify (((v**19*v)/v)**(-41))**41 assuming v is positive.
v**(-31939)
Simplify (r**11/(r/r**(2/39)))/((((r/(r*r**4)*r)/r)/r)/r**(-9)) assuming r is positive.
r**(236/39)
Simplify ((l**(-4/5)/((l**(-7)*l)/l))**(-2/7))**27 assuming l is positive.
l**(-1674/35)
Simplify t**16/t**(4/5)*(t*(t/(t/(((t*(t*t*t**(-9)*t)/t)/t*t)/t)))/t)/(t**(8/9)/t) assuming t is positive.
t**(374/45)
Simplify (f**(-4/21))**(-32)/((f/(f*f**(-15/8)))/f)**(-2/11) assuming f is positive.
f**(5779/924)
Simplify (j**14*j)**(-6/25)/(j**(2/3))**(3/2) assuming j is positive.
j**(-23/5)
Simplify ((v/(v*v/(v/(v/v**37)*v)))/(v/v**(-2/23)))**(-40/9) assuming v is positive.
v**(-33040/207)
Simplify ((u*u*u*u/u**(-6/11)*u*u*u)/u*u**(2/9)*u/(u/(u/(u/u**7)))*u/(u**(1/12)*u))**(-31) assuming u is positive.
u**(-167989
|
{
"pile_set_name": "DM Mathematics"
}
|
98 to the power of 1/3, to the nearest integer?
222
What is the cube root of 307917 to the nearest integer?
68
What is the eighth root of 6371338 to the nearest integer?
7
What is 6194655 to the power of 1/2, to the nearest integer?
2489
What is the square root of 497066 to the nearest integer?
705
What is 2557009 to the power of 1/9, to the nearest integer?
5
What is 38221483 to the power of 1/8, to the nearest integer?
9
What is the sixth root of 2638 to the nearest integer?
4
What is the seventh root of 896177 to the nearest integer?
7
What is the fifth root of 15270234 to the nearest integer?
27
What is 2921803 to the power of 1/3, to the nearest integer?
143
What is 510256 to the power of 1/2, to the nearest integer?
714
What is the square root of 8497539 to the nearest integer?
2915
What is the fifth root of 789030 to the nearest integer?
15
What is 476371 to the power of 1/2, to the nearest integer?
690
What is 857321 to the power of 1/4, to the nearest integer?
30
What is 536951 to the power of 1/2, to the nearest integer?
733
What is the cube root of 19601083 to the nearest integer?
270
What is the seventh root of 1479867 to the nearest integer?
8
What is 974678 to the power of 1/3, to the nearest integer?
99
What is the cube root of 21842864 to the nearest integer?
280
What is 2571028 to the power of 1/7, to the nearest integer?
8
What is the fifth root of 3069010 to the nearest integer?
20
What is 527298 to the power of 1/8, to the nearest integer?
5
What is the third root of 891107 to the nearest integer?
96
What is 215677 to the power of 1/2, to the nearest integer?
464
What is the third root of 6962211 to the nearest integer?
191
What is the cube root of 244669 to the nearest integer?
63
What is 30479 to the power of 1/2, to the nearest integer?
175
What is 8542163 to the power of 1/3, to the nearest integer?
204
What is 435106 to the power of 1/3, to the nearest integer?
76
What is 344461 to the power of 1/4, to the nearest integer?
24
What is the square root of 33699224 to the nearest integer?
5805
What is 1169576 to the power of 1/2, to the nearest integer?
1081
What is 492997 to the power of 1/2, to the nearest integer?
702
What is 155113 to the power of 1/7, to the nearest integer?
6
What is the square root of 437791 to the nearest integer?
662
What is the square root of 1227630 to the nearest integer?
1108
What is the cube root of 1654689 to the nearest integer?
118
What is 1662618 to the power of 1/3, to the nearest integer?
118
What is 755354 to the power of 1/9, to the nearest integer?
4
What is 1244291 to the power of 1/9, to the nearest integer?
5
What is the square root of 7132098 to the nearest integer?
2671
What is the fifth root of 3290554 to the nearest integer?
20
What is the seventh root of 1493244 to the nearest integer?
8
What is 6436090 to the power of 1/7, to the nearest integer?
9
What is the square root of 3298280 to the nearest integer?
1816
What is the cube root of 12249716 to the nearest integer?
231
What is the square root of 524724 to the nearest integer?
724
What is the fourth root of 1676686 to the nearest integer?
36
What is the cube root of 408900 to the nearest integer?
74
What is 27387679 to the power of 1/2, to the nearest integer?
5233
What is 317895 to the power of 1/7, to the nearest integer?
6
What is 468992 to the power of 1/10, to the nearest integer?
4
What is the seventh root of 2969065 to the nearest integer?
8
What is the square root of 527655 to the nearest integer?
726
What is 16108940 to the power of 1/2, to the nearest integer?
4014
What is the fifth root of 9937792 to the nearest integer?
25
What is the cube root of 5638552 to the nearest integer?
178
What is 113244 to the power of 1/2, to the nearest integer?
337
What is 380744 to the power of 1/2, to the nearest integer?
617
What is 2053861 to the power of 1/2, to the nearest integer?
1433
What is 513062 to the power of 1/6, to the nearest integer?
9
What is the third root of 2948747 to the nearest integer?
143
What is the cube root of 6235133 to the nearest integer?
184
What is the tenth root of 4066218 to the nearest integer?
5
What is the cube root of 437984 to the nearest integer?
76
What is 35032 to the power of 1/4, to the nearest integer?
14
What is 298459 to the power of 1/4, to the nearest integer?
23
What is 499680 to the power of 1/2, to the nearest integer?
707
What is 124527 to the power of 1/3, to the nearest integer?
50
What is 2281164 to the power of 1/3, to the nearest integer?
132
What is the third root of 786454 to the nearest integer?
92
What is the third root of 131328 to the nearest integer?
51
What is 38188 to the power of 1/7, to the nearest integer?
5
What is 6176137 to the power of 1/3, to the nearest integer?
183
What is 37198536 to the power of 1/8, to the nearest integer?
9
What is the square root of 22062177 to the nearest integer?
4697
What is 2157442 to the power of 1/8, to the nearest integer?
6
What is the tenth root of 4018353 to the nearest integer?
5
What is the cube root of 317128 to the nearest integer?
68
What is 282830 to the power of 1/9, to the nearest integer?
4
What is 39168 to the power of 1/6, to the nearest integer?
6
What is 1286522 to the power of 1/3, to the nearest integer?
109
What is the cube root of 4714967 to the nearest integer?
168
What is the square root of 341659 to the nearest integer?
585
What is 7503514 to the power of 1/3, to the nearest integer?
196
What is the cube root of 224921 to the nearest integer?
61
What is 263833 to the power of 1/2, to the nearest integer?
514
What is the square root of 63822 to the nearest integer?
253
What is the fifth root of 170587 to the nearest integer?
11
What is the square root of 1368008 to the nearest integer?
1170
What is the third root of 117117 to the nearest integer?
49
What is the cube root of 266053 to the nearest integer?
64
What is 3837904 to the power of 1/2, to the nearest integer?
1959
What is the third root of 745912 to the nearest integer?
91
What is 10341358 to the power of 1/5, to the nearest integer?
25
What is the third root of 97103 to the nearest integer?
46
What is 496593 to the power of 1/6, to the nearest integer?
9
What is the square root of 424305 to the nearest integer?
651
What is the cube root of 8358626 to the nearest integer?
203
What is 863204 to the power of 1/5, to the nearest integer?
15
What is the cube root of 337393 to the nearest integer?
70
What is 472755 to the power of 1/2, to the nearest integer?
688
What is the third root of 923884 to the nearest integer?
97
What is 100616 to the power of 1/2, to the nearest integer?
317
What is the square root of 333352 to the nearest integer?
577
What is 2212834 to the power of 1/3, to the nearest integer?
130
What is the tenth root of 531953 to the nearest integer?
4
What is the square root of 3707317 to the nearest integer?
1925
What is the third root of 4015222 to the nearest integer?
159
What is 11409119 to the power of 1/2, to the nearest integer?
3378
What is the cube root of 1598305 to the nearest integer?
117
What is 19652 to the power of 1/2, to the nearest integer?
140
What is 64064 to the power of 1/4, to the nearest integer?
16
What is the seventh root of 2131855 to the nearest integer?
8
What is the sixth root of 12502491 to the nearest integer?
15
What is 31872 to the power of 1/4, to the nearest integer?
13
What is 1294447 to the power of 1/2, to the nearest integer?
1138
What is 208433 to the power of 1/2, to the nearest integer?
457
What is the cube root of 140800 to the nearest integer?
52
What is 3126624 to the power of 1/2, to the nearest integer?
1768
What is the square root of 214098 to the nearest integer?
463
What is the ninth root of 2014593 to the nearest integer?
5
What is 12143 to the power of 1/2, to the nearest integer?
110
What is the eighth root of 6976652 to the nearest integer?
7
What is 2215442 to the power of 1/3, to the nearest integer?
130
What is the third root of 1597748 to the nearest integer?
117
What is the third root of 918033 to the nearest integer?
97
What is 28669766 to the power of 1/2, to the nearest integer?
5354
What is 759106 to the power of 1/8, to the nearest integer?
5
What is the fourth root
|
{
"pile_set_name": "DM Mathematics"
}
|
. Suppose -x*b - 4*b = -g. Solve a = 5*a + 12, b*m + 18 = -2*a for m.
-4
Let l(f) = -f**3 + 25*f**2 + 39*f + 6. Let o be l(26). Let b = o + -341. Solve -b*a - 4*u + 21 = 0, -5*a - u + 24 = 2*u for a.
3
Suppose 5*a = -4*a - 0*a + 72. Solve 4*u = -4*k - 4, -48 = 4*k - 5*u - a for k.
-5
Let s(v) = -12*v**2 - 4*v + 43. Let g(c) = 5*c**2 + c - 22. Let d(n) = 5*g(n) + 2*s(n). Let l be d(-4). Solve -x = -1 - l, 4*x = u + 24 for u.
-4
Let w(a) = -a**3 + 18*a**2 - 43*a + 445. Let v be w(17). Let u = -160 - -165. Solve 0 = 2*n - u*b - 14, v*n - 8*b = -3*b + 16 for n.
2
Suppose 7*l = 3*l + 28. Let i be 17 - (-520)/(-35) - (20/(-7) + 2). Solve 9 = i*w + 5*b, w = -3*b - 0*b + l for w.
-2
Suppose 2*f - 4*i - 21 = -3, -4*i = 0. Let z = 7 + f. Suppose 20 = 9*d - 13*d, 4*d = 4*w - 20. Solve -4*o = -5*r - o - z, 4*r + 5*o + 35 = w for r.
-5
Suppose 18 = w - 5*r, -3*w = 7*r - 2*r + 6. Suppose w*q - 63 = 171. Let p = q - 46. Solve u = -3*u + 4*a - p, 2*a = 8 for u.
-4
Suppose 138 - 2550 = -268*h. Solve 8*d + h*j - 5*j = 40, -2*d - 5*j = -34 for d.
2
Let m = -330 + 598. Suppose -m = -3*q + 4*a, -3*q - 2*a + 394 = q. Let d = 96 - q. Solve c + 7 = -4*y - 13, 3*c = d for y.
-5
Let h be ((-52)/(-702))/(6/162). Solve -h*k + 4*c - c - 8 = 0, k - 4*c + 9 = 0 for k.
-1
Suppose 25*a = 16*a + 36. Let h(i) = i**2 + 5*i - 101. Let t be h(-13). Solve -n - 3 = a*u + t, -2*n + 8 = -2*u for n.
2
Let v = 15641 - 15632. Solve -36*q - 18 = -33*q, -5*s = 4*q + v for s.
3
Suppose -7 = -5*q + 158. Suppose q = -29*f + 91. Solve 3*y - f*v - 2 = 0, 6 = -3*y - 4*v + 2 for y.
0
Let y be (-6 - -11)/(20*8/128). Solve 110*m - 114*m = y*w + 36, -3 = -3*m + 3*w for m.
-4
Let m be 5 + -6 + 3 - (0 + 85). Let u = m - -87. Let r be u - 0 - (2 + 0). Solve -r*z - z = 3*c + 3, 2*z = 8 for c.
-5
Suppose 22*a - 69*a + 94 = 0. Solve -21 = -y + a*m - 7*m, 3*y + 2*m - 11 = 0 for y.
1
Let i be ((-2)/(-8))/(5 + 7/(3248/(-2318))). Solve 5*f = -s + 20, f - 53 = -2*s - i for s.
-5
Let g be ((-65)/(-20))/(1/8). Let s = g - 19. Suppose -3*j + 20 + s = 0. Solve -j = -4*y - 21, -2*v = -4*y - 4 for v.
-4
Let z(h) = 15*h + 258. Suppose 14*k - 21*k - 119 = 0. Let m be z(k). Solve 3*t = t - 5*s - 26, 0 = -4*t - m*s - 24 for t.
-3
Suppose 256*f + 160 = 296*f. Solve o + 20 = -f*a, -3*o - 20 = 531*a - 529*a for o.
-4
Let s be (1*-2)/(2/(-10)). Let q be -2 + s + (0 - 0). Let z(h) = -h**2 + 43*h + 353. Let g be z(-7). Solve -9 = -g*x - 5*u + 1, -2*u + q = 2*x for x.
5
Let x(n) be the third derivative of n**6/120 + 4*n**5/15 + n**4/24 + 19*n**3/6 - 116*n**2. Let i be x(-16). Solve 8*s - 3*s = -5*m, i = m - 2*s for m.
1
Let g = 209 + -194. Suppose 7*u - g*u = -80. Solve p - 3*b = -2, -1 = 3*p - 4*b + u for p.
-5
Let v = 88 + -80. Let l be (65/(-52))/(2/v) - -20. Solve 8 + l = 4*s - 5*m, 0 = 4*s - 2*m - 14 for s.
2
Suppose 0 = 3*i - 2*f + 134, -2*f - 135 = 3*i - 5*f. Let u be 22/i - (7/(-2) + 1). Solve 5*v + 3 = u*s - 12, -v = 3*s + 3 for s.
0
Suppose 0 = 37*v - 139 + 28. Solve -4*q = 2*k - 6, -v*k - 4 = 5*q - 13 for q.
0
Let h(c) = 5*c + 65. Let s be h(-13). Suppose s = 53*o - 39*o - 126. Solve -1 = -3*z - 4*v, -o = 4*v - 1 for z.
3
Let f = 16 - 38. Let u be ((-4)/(-6))/((-30)/765). Let r = u - f. Solve l + t = 0, -r*l - 6 = -4*t + 12 for l.
-2
Let m be 14/(-4) - (-27)/6. Solve 96*c = k + 97*c - 4, -m = c for k.
5
Let p be ((-16)/1)/((-18)/(-117)). Let t = p + 107. Solve -t*b + 18 = -x, -4*x - 32 = -0*b - 4*b for b.
5
Let x be -5 + 11 + (-180)/(-20). Solve 3*t + 3*b = t + 10, -3*t = -3*b + x for t.
-1
Suppose 0 = -33*d - 7*d + 40. Solve -2*j + d = 4*c - 9, 1 = 3*j - c for j.
1
Suppose 3*r + 14 = 5*r. Let a(h) = 6 + 18 - 901*h + 898*h. Let n be a(r). Solve -u + 2*p - 3 = n, -29 = -u - 5*p for u.
4
Suppose -d - 5*y - 24 = -0*y, -5*d + 3*y = -48. Solve 3*l = 3*o - 12, o = 2*l + d*o + 1 for l.
-3
Let d(b) be the first derivative of b**3/3 + 7*b**2/2 - 3*b - 62. Let k be d(-8). Solve -6 = -3*i - k*p, 0 = i + 2*p + p - 2 for i.
2
Suppose 17*z + 23 - 57 = 0. Solve 0 = 3*j - 6*j + 3*r + 3, -2*j = -4*r + z for j.
3
Let t = -46 + 181. Suppose -54*r = -9*r - t. Solve -v = 3*z + 14, -r*z - 15 = -5*v - z for v.
1
Let o be ((-12)/(-2))/(11/((-957)/(-9))). Let k be -4 - (o/(-10) + (-3)/15). Solve -s - 10 = r + k*s, -3*s - 18 = -3*r for r.
2
Let g be ((-126)/(-45) - 4)*-10. Suppose b + 8*p - 9 = g*p, -13 = -2*b + 3*p. Solve -4*w - 7*k = -3*k + 24, 2*w = -b*k - 27 for w.
-1
Let k(g) = -g**3 + 9*g**2 - 9*g + 9. Let w be k(8). Let s = 1006 + -993. Solve 2*q = -3*n - s, -5*q = -4*n - 3 + w for q.
-2
Let l be (108/30*1)/((-2)/(-10)). Let q be (-54)/(l/(-3)) - 6. Solve -j + 5 + 5 = -2*r, 4*r + 24 = q*j for j.
4
Let h = 41 - 31. Let r be 28/h - (-3 - 14/(-5)). Suppose -r*c + 8*c - 20 = 0. Solve c*a + 3*p = -1, 0*a - 5*p = 2*a - 3 for a.
-1
Let g = -3 + 6. Let y(i) = -i**2 + i - 2. Let n be y(2). Let k be 8/((-64)/(-28))*n/(-7). Solve -2*f = -x + g, 4*f - 7*f - 2 = -k*x for f.
-4
Suppose 56*u + 31 = 136 + 63. Solve 5*p - 97 = 3*i - 96, -4*p - u*i = 37 for p.
-4
Let f be 40/(-14)*(-4 + 5/10). Let b be f + -3 - (0 + 2). Suppose b*j - 46 = -2*d, 183 = 5*d + j + 68. Solve -5*m + 20 = -5*s, s - 5*s = 3*m + d for m.
-1
Let q be (-1 + 1)*46/(-92). Solve -4*s + 3*x - 15 + 14 = q, 0 = -5*s + 4*x - 2 for s.
2
Suppose 0 = 17*z - 233 - 57 - 135. Solve 0 = 4*q + 22*a - z*a + 21, a = 4*q + 23 for q.
-6
Let a(i) = 12*i**3 - 2*i**2 - 17*i + 38. Let w be a(2). Suppose 0*y - 23*y = -w. Solve y*b = 3*l - 13, 0 = -5*b - 0*b + 3*l - 17 for b.
-4
Let w be (0 + (-2 - -2))/(54/(-54)). Solve -72 = -i - 5*b - 71, -b = w for i.
1
Let d(o) = o**3 - 17*o**2 - 17*o - 22. Let n be d(18). Let h be -2 - n - (45 + -44). Solve -h = -3*z + 4*w, 0 = 5*z - 0*z + 3*w + 8 for z.
-1
Let a be 4*(-6 - -9)/((-48)/(-20)). Solve 0 = -5*f - o - 5 - 7, f + 18 = a*o for f.
-3
Let w be (-10 - (-9 - -4)) + -101. Let x = w - -110. Suppose 7 = v + x. Solve j + 3 = 2*q, -8*j + 3*q = -v*j + 22 for j.
-5
Suppose 0 = -4*a + 23 + 17. Let s = 12 - a. Suppose 0*c - 10 = -s*c - 4*k, -c - 3*k + 6 = 0. Solve 0 = -3*g, 2*g - c = -h - 2 for h.
1
Suppose 26 = 3*i - 5*j, 38*i - 33*i - 32 = -3*j. Let r be ((-10)/(-35)*i)/1. Solve -3*u + 3*c = 2*c + 19, -5*u - r*c - 17 = 0 for u.
-5
Let r be (4 + -9)/(-1 - (-2 - (-8)/4)). Solve -m + 5*o = -r, 9*m - 4*m + 3*o + 31 = 0 for m.
-5
Suppose -6*g + 98 = g. Let t(m) = -21*m**2 + 2*m - 2. Let h be t(1). Let p be ((-48)/h - 3)*-7. Solve 26 = 4*i + 2*s, -3*s + p*s + g = 4*i for i.
5
Let g(v) = v**3 - 6*v**2 + v + 15. Let r be g(6). Solve -17*y + 5*s + 3 = -r*y, -4*s = -3*y + 21 for y.
3
Suppose -101*x + 6 = 14 - 8. Solve 2*j + 5*i + 8 = x, 5*i + 287 = -4*j + 271 for j.
-4
Let z = 72 - 67. Suppose -5*y - 3*b + 12 = -z*b, -4*b - 6 = -y. Suppose y*i = 11*i. Solve i = -w + 5*c + 4 - 6, w = -c - 2 for w.
-2
Suppose -5*t + 15 = -0*t. Suppose 1 = m - t. Suppose -463*f - 26 = -476*f. Solve 13 = -z - m*z - f*w, 0 = -w - 4 for z.
-1
Suppose 34 = 11*f + 210. Let c(q) = q**2 + 18*q + 34. Let o be c(f). Solve 3*m = -l + o*l - 14, 0 = 5*l + 2*m - 19 for l.
5
Let y = -8403 - -8407. Solve 35*j = -y*t + 40*j + 9, t - 4 = 3*j for t.
1
Let v(a) be the second derivative of -a**3/6 - a**2/2 + 9*a. Let d be v(-9). Let p be d/(-12) + 64/6. Solve -p = 5*q - 0*q, 3*n + q = 4 for n.
2
Suppose 39*c - 1969 = -1852. Solve c = z + 2*d, d + 0 = 5*z + 7 for z.
-1
Suppose -4*k - k = 10. Let l be k - 40/(-15) - (-87)/(-9). Let p be -10*1/(-6)*l/(-3). Solve -2*f = -g - 9, 0 = 2*g + 2*g - p*f + 27 for g.
-3
Let a(d) = d**3 - 13*d**2 + 36*d + 22. Let u be a(9). Solve 0 = -2*o + 5*v + u - 5, 3*o - 3*v - 3 = 0 for o.
-4
Suppose -t + 11 - 3 = 3*u, u - 16 = -3*t. Solve 0 = t*m + 3*f + 19, -4*m + f - 21 = 1 for m.
-5
Let w = -87 + 89. Let c be (-5)/w*(2/(-10) + -1). Let r = 0 - -2. Solve -3*f - s - 3 = f, -f = -r*s + c for f.
-1
Suppose 21536 - 78821 = -45*z. Suppose 33*j = -34*j + z. Solve -4*k - 16 - 4 = 0, -y = 4*k + j for y.
1
Suppose 48 = 16*g - 0. Suppose -3*k + 3 = -g, k = -j + 5. Solve 2*v - 23 = -j*s, -3*v + 32 = -2*s + 6*s for s.
5
Let g be 3/(3/(-2)) + (-25 - -30). Suppose -28*u + 62 = g*u. Let l = 6 + -3. Solve 4*i + 20 = -u*r, 3*i + l*r = -r - 20 for i.
-4
Let y be (-1 - 1)/((-72)/612) - 3. Solve -2*t - 6 = -h - y, 5*t - 23 = h for h.
2
Let o = 79 + -74. Suppose 4*b = o*b - 4. Suppose -10 = -2*v + b*g,
|
{
"pile_set_name": "DM Mathematics"
}
|
-g - l. Is 42 a factor of g?
False
Suppose 3*x - 4123 = -g, -2*g + 4904 = x - 3352. Suppose 1613 = 33*i - g. Is i a multiple of 58?
True
Is 7 a factor of -13*189/(-351) - 17484/(-2)?
False
Suppose -4*t = 4*r - 24, 3*t - t - 22 = -4*r. Suppose -2*z = -237 + 29. Suppose -r*d = 4*o - z, -2*o = 2*d + 3*d - 42. Is 4 a factor of o?
False
Let q = 17489 - 10440. Is 53 a factor of q?
True
Let l = 5011 - -71. Is 12 a factor of l?
False
Let c = 34 - 59. Does 8 divide 84*(c/(-6) + 9/(-6))?
True
Suppose -10*b + 9*b + 103 = 0. Suppose -4*q + 3*u + 1849 = 0, q - u - 566 + b = 0. Is q a multiple of 46?
True
Let k be (-5 + 7 + -3)*(-1 + -4). Suppose -k*a - a = -132. Suppose -81 = -y + a. Is 10 a factor of y?
False
Suppose -2*p + 0*p + 7*p = 10800. Is 20 a factor of p?
True
Let g(w) = 11*w**2 - w + 2. Let x be g(4). Is (73/(-6))/((-29)/x) a multiple of 9?
False
Let w = 2372 + 502. Is 21 a factor of w?
False
Let a = 245 + -244. Does 16 divide (1 - 152/40)/(a/(-80))?
True
Let r(o) = 2*o**2 + 9*o + 11. Let g be r(-6). Suppose 0*f + 4*f = b + 24, b + g = 5*f. Suppose 342 + 368 = f*i. Does 19 divide i?
False
Let w(h) = 284*h**2 + 17*h + 13. Let d be w(-5). Suppose -d = -30*t + 13492. Is 36 a factor of t?
True
Let t = 8346 + -4290. Does 24 divide t?
True
Let v(r) = -r**3 - 5*r**2 + 5*r + 2. Let o be v(-6). Suppose -o = -2*h, -4*m = -3*m - 4*h - 16. Suppose 0 = -3*j + 146 - m. Is j a multiple of 9?
False
Suppose 0 = x + 15*x - 2736. Suppose 4*t - 893 = x. Does 14 divide t?
True
Is 11/((-374)/(-4)) - 275429/(-187) a multiple of 13?
False
Suppose 33*p - 30*p = -18. Is 13 a factor of 23880/45 + (-2)/p?
False
Suppose 8*b - 43 - 325 = 0. Suppose 3*u = 0, 0 = 2*p + 11*u - 9*u - b. Is 10 a factor of p?
False
Let l(m) = 2*m + 3. Let y(x) be the first derivative of -x**2/2 + x + 27. Let d(i) = -l(i) + 2*y(i). Is d(-3) even?
False
Suppose -18878 + 83599 = 110*v - 37469. Is 7 a factor of v?
False
Let w(p) = -p**2 - 6*p + 2. Let h be w(-3). Suppose 14*r = h*r + 126. Suppose -r = -z - z. Does 21 divide z?
True
Suppose 0 = -208*d + 201*d + 168. Suppose d*n - 1407 = 1281. Is n a multiple of 14?
True
Let x(v) = -3*v**2 - 37*v + 9. Let y be x(-14). Let s = 232 + y. Is s a multiple of 42?
False
Let w(y) = -40*y + 6. Let l be w(4). Let n = l + 490. Is n a multiple of 24?
True
Let m = 2133 + 1364. Does 65 divide m?
False
Let t = 8 - -420. Is t a multiple of 18?
False
Suppose -8*r - 58 - 6 = 0. Is 6 a factor of 20/(-5 - 0) + (-416)/r?
True
Suppose 3*z + 7*a - 6*a + 80 = 0, 0 = 5*z - 5*a + 140. Let t = 4 - 24. Let k = t - z. Is 3 a factor of k?
False
Suppose -223 = -13*k + 50. Is 2 a factor of k?
False
Let v(a) = -163*a + 146. Is 9 a factor of v(-14)?
False
Suppose -3*t + w = -34, -t + 0*t + 10 = -w. Suppose t*x + 378 = 15*x. Suppose 2*g - l + 154 = 5*g, -2*g + 4*l = -x. Does 20 divide g?
False
Let m = 681 + 1601. Is m a multiple of 6?
False
Suppose -b = -3*m - 3446, -6972 = -2*b - 398*m + 394*m. Is 17 a factor of b?
False
Let m(o) = -o**3 - 6*o**2 + 19*o + 81. Let f be m(-9). Suppose f*s - 1950 = 140*s. Is s a multiple of 2?
True
Is 16 a factor of (160/(-14))/(54/(-5292))?
True
Let v = 25343 - 16364. Is v a multiple of 123?
True
Suppose 68930 = -221*i + 226*i. Is i a multiple of 61?
True
Suppose -9*k = -8*k + 3. Is (k*(-35)/21)/((-1)/(-19)) a multiple of 19?
True
Let d(t) = -t**3 + 7*t**2 + 8*t + 1. Let s be d(8). Suppose -2*m = 3*p - 15, 10 = 3*p + s. Suppose m*n + 2 = 302. Is n a multiple of 23?
False
Suppose 439 = -3*t + 433. Let c(b) = 5*b**2 - 23*b - 48. Is c(t) a multiple of 3?
True
Let t be (5/(50/(-16)))/((-28)/1190). Suppose 9*b - 860 = -t. Is 4 a factor of b?
True
Let j be (-3)/(-10) - (-143856)/480. Suppose -9*q = -9444 + j. Is q a multiple of 13?
False
Suppose -219*q = -212*q - 56. Suppose q*b + 2*u = 3*b + 1390, 5*u = 5*b - 1425. Does 40 divide b?
True
Suppose -4*r = -1643 + 1171. Suppose 123*t - 175 = r*t. Is 4 a factor of t?
False
Suppose 6*b = 224 - 8. Let m = -45 + b. Is 37 a factor of (-6)/(-4)*(-444)/m?
True
Let s(z) = 3 + 0*z + z + 107*z**2 - 110*z**2 + z**3. Let y be s(3). Suppose -v - 2*o + y*o = -126, -2*v = -5*o - 255. Is v a multiple of 26?
True
Let v(q) be the second derivative of 3*q**4/4 + q**3 + 3*q**2 + 338*q. Suppose 0 = k - 3*p + 17, 4*p - 22 = -3*k + 4*k. Is v(k) a multiple of 3?
True
Let q be (-44)/((-80)/50 - 2/5). Let i be (-592)/(-9) + q/99. Suppose 68 = -62*c + i*c. Does 17 divide c?
True
Let l(t) = 4*t**2 - 59*t + 22. Let z be l(29). Suppose a + 4*c - 4192 = -4*a, 2*a + c = z. Does 38 divide a?
True
Suppose 5*g - 35 + 11 = 4*c, 3*c - 13 = -4*g. Suppose g*q = -q + 135. Let j = q - -8. Does 35 divide j?
True
Let r be (-59)/(-3) - (-5)/60*4. Is (56/r - -2) + (-3)/(-15) a multiple of 5?
True
Let y(c) = -9*c + 2*c - 52 + 59. Let l be y(-15). Suppose r - 4*q = 47, 2*r - q + l = 4*r. Is 16 a factor of r?
False
Let s = 654 + 2777. Suppose 21*u - s - 9274 = 0. Is 55 a factor of u?
True
Let k(s) = 229*s**2 - 12*s + 148. Does 54 divide k(6)?
False
Let i(n) = 14*n**2 + 9*n - 61. Let x be i(11). Is 6/42 + 1 + x/28 a multiple of 21?
True
Let z(w) = 51*w + 38. Let i be z(-7). Let q = 157 - i. Let h = q + -271. Does 30 divide h?
False
Does 13 divide (6/(-15))/((-20 + 13)/663845)?
True
Let f = -367 + 780. Suppose 47*r - f = 40*r. Let o = r - 47. Is 3 a factor of o?
True
Suppose 8*t - 140620 = -g, -64*t - 3*g = -63*t - 17566. Is 187 a factor of t?
True
Let b = -943 + 4333. Is b a multiple of 30?
True
Let o(v) = 14*v**2 - 20*v + 727. Is 99 a factor of o(17)?
False
Let o be 178 - (16/4 + 2). Let i = o - 75. Does 32 divide i?
False
Suppose 2*x - 72 = -5*h + 6023, 4*x - 2438 = -2*h. Suppose -11*g = -1641 - h. Does 26 divide g?
True
Suppose 849945 = -193*k + 4631973. Is 69 a factor of k?
True
Let i = 28 - 23. Suppose -2759 = -i*q + 461. Suppose -2*z - q = -4*m, -2*m + 5*z + 27 + 295 = 0. Does 23 divide m?
True
Is 27 a factor of (-1)/(1/(-5)) - (-1 - 3098)?
False
Suppose -19*r - 48 = -22*r - 3*i, 5*i + 64 = 3*r. Is 39 a factor of (-2 + -497)/((-9)/r)?
False
Suppose -1330*d + 3024 = -1327*d. Is 12 a factor of d?
True
Let o(j) = -7*j + 11. Let g be o(5). Let l be (2 + -126)*30/g. Suppose -5*d + 5*v + 365 = 0, -4*v - v = -2*d + l. Is 14 a factor of d?
True
Let v(i) = -3*i**2 + 57*i + 19. Let r be v(19). Suppose 0 = r*x - 2*x - 9520. Is x a multiple of 14?
True
Suppose -q + 3071 = 5*o, 15*o - 19*o - q + 2457 = 0. Does 4 divide o?
False
Is 196 a factor of -6 - (2/9 + 1760836/(-99) - 7)?
False
Suppose -1806 = 14*q - 17*q. Suppose 4*v = 4*l + 472, -2*l = 3*l - v + q. Let n = l - -277. Is 17 a factor of n?
False
Suppose -226 - 759 = -2*o - w, 5*o + 4*w = 2461. Suppose 2*i - 5*c - 294 - 191 = 0, -o = -2*i - 3*c. Is i a multiple of 28?
False
Suppose -3*c + 204 = 5*w - 3*w, 0 = -5*w. Suppose c*h - 564 = 65*h. Is h a multiple of 18?
False
Let s = 22069 - 15397. Is 12 a factor of s?
True
Let k be (-4)/((-12)/(-20) - (-183)/(-255)). Let j = 34 - k. Suppose 2*i - 1 - 47 = j. Is 12 a factor of i?
True
Let y(f) = 70*f**2 + 102*f - 650. Does 8 divide y(6)?
False
Let l(p) = -2*p**3 + 50*p**2 + 59*p - 158. Does 61 divide l(22)?
False
Suppose 449040 = -123*l + 163*l. Is l a multiple of 21?
False
Let b be 56*14/28 + 1*-1. Is 3 a factor of (-8 + 198/b)*-315?
True
Suppose 60 = -2*c + 2*i - 152, i = -4*c - 414. Let u be (c/(-24) - -7) + 1/(-3). Let r(x) = 4*x - 5. Is r(u) a multiple of 18?
False
Suppose -m - 6*w + 5*w = -489, 3*m - 1470 = -4*w. Suppose 0 = 7*v - m + 17. Suppose 10*k - 9*k - v = 0. Is 8 a factor of k?
False
Suppose -23276 - 33148 = -12*s. Is 56 a factor of s?
False
Is -26856*(-5 + 296/64) a multiple of 12?
False
Let i = -44 + 47. Suppose -10*q - 1035 = -5*x - 5*q, 15 = -i*q. Is 7 a factor of x?
False
Suppose 153*q + 273 = 140*q. Is (-2)/(-18)*q*-6 a multiple of 2?
True
Let x(h) = -h**2 + 10*h + 3. Let v be x(7). Let m be (-6)/4*3/((-6)/(-104)). Let w = v - m. Does 53 divide w?
False
Suppose -o - j = -2*j + 126, 5*o = 2*j - 645. Let n = o + 261. Does 13 divide n?
True
Suppose 4*q - 36*w = -34*w + 10236, 0 = 4*q + 3*w - 10256. Does 13 divide q?
True
Let q(a) = -a. Let m(x) = -3*x - 14. Let z(n) = -m(n) - 6*q(n). Let u be (-1 + -5)*4/(-6). Is z(u) a multiple of 10?
True
Let d(m) = 20*m**2 + 18*m + 1. Let q(t) = -7*t**2 - 6*t. Let a(u) = 6*d(u) + 17*q(u). Let o be a(-6). Is -2 + -
|
{
"pile_set_name": "DM Mathematics"
}
|
= 0. Calculate the least common multiple of 16 and j.
48
Suppose d = 4*v + 15, -60 = -4*d - 3*v - v. Calculate the common denominator of 25/42 and (-13)/2*((-50)/d + 7).
42
Let m = -148613/105 + 1416. What is the common denominator of m and 2020/(-202) - (-1)/20*1*394?
210
Let s(r) = -r**3 + 2*r**2 - r + 24. Suppose 0 = -4*v + 5*x - 10, x + 3 - 5 = 0. What is the smallest common multiple of s(v) and 36?
72
Suppose 0 = d - 4*v - 19, 2*d - 12*v = -7*v + 26. Calculate the smallest common multiple of d and 398.
1194
Let j = 669 - 633. Let y(g) = 10*g**2 - 2*g. Calculate the least common multiple of y(-1) and j.
36
Suppose -10*j + 2*j + 1232 = 0. Suppose 0*w = i + 2*w - 43, 3*i - j = -w. Suppose -4*c + 67 + i = 0. Calculate the smallest common multiple of 42 and c.
210
Let h = -1054 + 1670. What is the least common multiple of h and 72?
5544
Suppose 6*u = 461 - 425. Suppose -4*o + 4*x + 32 = -36, 0 = 4*o + 4*x - 28. Calculate the lowest common multiple of u and o.
12
Let v = -12007/4 - -3907. Let l = -900 + v. Let c = 2/5471 + 475973/10942. Find the common denominator of l and c.
4
What is the common denominator of ((-3)/3 - -15)/((-12)/33) and 30/(-80) + (-35)/4?
8
Let n be -1*(-1 + 4) + 1260/6. Let y = 140 - n. Let c = 71 + y. Calculate the lowest common multiple of 2 and c.
4
Let t = 230285857/420 - 548300. What is the common denominator of t and 89/4?
420
Let t = 11948651163177/20 - 597299952266. Let x = t + -132633549. Let g = -27662 - x. What is the common denominator of 149/18 and g?
180
Let i(l) = 23*l**2 - 160*l + 1. Calculate the least common multiple of 14822 and i(7).
59288
What is the lowest common multiple of -9*(18 + -21) - -6 and 2646?
29106
Let u be 3 - -1399*(-2)/936. Let t = -773/1170 + u. Calculate the common denominator of 93/38 and t.
380
Suppose -5*u = -2*d - 24, 3 = 3*u - 4*d - 3. Suppose b = u*b + 5*f - 20, -b + 2*f + 16 = 0. What is the smallest common multiple of b and 64?
64
Let u be (12/(-24))/(2/11). Let z = u - -11/2. Let p = 1665 + -3391/2. What is the common denominator of p and z?
4
Let a be (-8)/32 + 74/8. Let g = a - 7. Suppose 3*u + f = 32, -u - f = -6 - g. Calculate the smallest common multiple of 10 and u.
60
Let i = -329 - -333. Suppose i*k = 206 - 62. What is the smallest common multiple of k and 18?
36
Let u = 2/16822622473 + -2654305774160823064/555146541609. Let v = 4781826 + u. Let y = v + -1660/3. Calculate the common denominator of y and -37/5.
55
Let i = 792 + -785. Calculate the lowest common multiple of 264 and i + (-12)/(7 + -3).
264
Suppose -2*p + 3*p + 4*b = -8, 8 = -4*b. Find the common denominator of 5/100*94 - p and 5*8/60 - (-277)/84.
140
Let r be (26689/130)/(5/((-445)/3837)). Let x = r + -6/1279. Calculate the common denominator of 77/90 and x.
90
Let j = 6290 - 201209/32. Calculate the common denominator of (-1)/1 - 133/12 and j.
96
Let c = -11 - -13. Let q(y) = 58*y**2 - 16*y**2 - 20*y**c + 19*y - 9 - 21*y**2. Calculate the smallest common multiple of q(-21) and 1.
33
Suppose -2*h + 0*h + 37 = -c, 3*h - 2*c - 58 = 0. Let p = 25 - h. Suppose 6 = -p*l + 69. Calculate the smallest common multiple of l and 4.
28
Let c(u) = 7615*u**3 - u**2 - 2*u. Let i be c(-1). Calculate the common denominator of 1/8 and 1/15*(i/72 + 17).
24
Suppose -4*r + 24 = -4*z + 7*z, 4*z - 4*r = 32. Let v(s) = -19*s**2 + 4*s + 6*s + 18*s**2 - 2. Calculate the least common multiple of v(z) and 10.
70
Let a = 1704 - 1516. What is the lowest common multiple of 564 and a?
564
Let x be (-7)/(35/30) + 1. What is the common denominator of 58/3 and (2 + 1)*x/(-295)?
177
Suppose -5*k - 1172 = r, -5*k - 4*r + 445 = 1608. Let i = -5169/22 - k. Let v = -99489/10 + 9958. What is the common denominator of v and i?
110
Let m = -9781 + 342383/35. Calculate the common denominator of m and 19/281.
9835
Let z be (2026575/(-216))/5*(-2)/(-5). Let o = z + 743. Find the common denominator of o and -143/6.
12
Suppose 5*f + 0*c + 3*c - 754 = 0, -3*c - 6 = 0. Suppose -3*l + 48 = 39026*x - 39029*x, -5*x = 0. Calculate the lowest common multiple of f - (2 - 1*4) and l.
1232
Let b = -10 - 215. Let v be 50/b - 4/(-18). Suppose v*h + h - 50 = -2*d, -70 = -3*d + h. What is the smallest common multiple of 27 and d?
216
Suppose 64*c = -1711 + 6063. What is the least common multiple of 8 and c?
136
Suppose 2*z - 3*d = 11, -d = 2*z - 3*z + 6. Suppose -z*n = -43 - 27. What is the lowest common multiple of 50 and n?
50
Let a be -8 + 6 + 0 + 203. Let r = a - 193. Calculate the least common multiple of 4 and r.
8
What is the common denominator of (-4)/1 + 0 + 0 and (-2092)/168 - (-14)/49?
6
Let d(m) = -m**2 + 23*m - 45. Let i be 1/7 + (40/14 - -2). Let j be (-5 + 8)*(i + 1). Calculate the smallest common multiple of d(j) and 33.
495
Let i be (-5537)/(-452) - (14/(-8) + 2). Let v(u) = u**3 + 5*u**2 - 6*u - 4. Let t be v(-6). Calculate the common denominator of t + (189/i)/7 and -61/10.
20
Let x be -1 - (-7)/((-315)/4255). Let v = -99 - x. Find the common denominator of v and 53/105.
315
Calculate the least common multiple of -13*6/(-2)*1830/549 and 39.
390
What is the common denominator of -1415*8/(-51480) + (-7)/((-455)/10) and 4 + -1 - 133/72?
792
Let c(i) = i**2 - 21*i - 3. Let p be c(21). Let n be p/(-66)*-4 - 9253799/(-5207202). Let a = -2/33813 + n. Find the common denominator of -70/3 and a.
42
Let v = 23/237703 - 33122137/841468620. Calculate the common denominator of v and 109/6.
3540
Suppose -2*f = 8, -3*h + 4*f + 248 = 2*f. Suppose 14*t + 27*t + 1280 = 57*t. What is the lowest common multiple of h and t?
80
Calculate the common denominator of -63/355 and -2 - 18892/(-142)*13/884.
12070
Let p = -7139659/1233 + -107236/137. Let g = p + 6581. Find the common denominator of g and 3/4*29/3.
36
Let o be 18/(-162) + 757/9. Let c = o - 70. What is the least common multiple of 112 and c?
112
Let d = -248/21 + 31538/2667. Let z = 13/1240165 + 7082579013/315001910. Let f = d + z. What is the common denominator of f and 127/6?
6
Let z = -8 - 1. Let o(t) = -27 + 31 - 2386*t + 33 + 4772*t - 2383*t. What is the lowest common multiple of o(z) and 6?
30
Let h(c) = 36 - 3*c + 2*c**2 - 21 - 3*c**2. What is the least common multiple of (-249)/(-12) + (-1)/(-4) and h(0)?
105
Suppose -207 = -k + 3*z + 63, 3*z = -2*k + 540. Calculate the common denominator of 57/34 and -3*5/k - -5.
306
Let a = 212474749/576 + -368880. Calculate the common denominator of a and -89/72.
576
Let i = 102808/61 + 1958205/854. Let a = -3980 + i. What is the common denominator of a and -41/14?
14
Suppose -7*l + 3*l = 80. Let o = -35 - l. What is the common denominator of -143/18 and 231/o*10/8?
36
Let r(w) = 3*w + 210. Let g = 32 + -21. Calculate the lowest common multiple of r(-23) and g.
1551
Let g = -7873 - -14702. Let k = -491713/72 + g. Calculate the common denominator of 166/(-120) - (-2)/6 and k.
360
Let b be 15/(-6)*-5 + (-15)/10. Find the common denominator of 1842*(-9)/7920 + (-2)/b and 9/8.
40
Let n be ((-8)/(-4) - -1)/(2/26). Let t = -38 + n. Calculate the common denominator of (t/(-4))/((-212)/584) and 9/16.
848
Let s = -6812 + 7178. What is the smallest common multiple of 9 and s?
1098
Let d be ((-24)/(-36))/((-2)/9). Let n be 3/(d*(-3)/(-27)). Calculate the common denominator of (-11)/(66/n)*146/(-9) and 1/2.
6
Let z(y) = -12*y + 277. Calculate the smallest common multiple of z(-39) and 40.
5960
Let d be ((-3)/(-9))/(1/(-18)) + -251. What is the least common multiple of 24 and d/(-2) - (-86)/172?
1032
Let a(i) = -i**2 - 5*i - 5. Suppose -3*p + 10 = 5*o, -o - 3*p + 4 = o. Calculate the lowest common multiple of o and a(-3).
2
Let r(v) = -v**2 - 30*v - 35. Let c = -90 - -76. Let d be r(c). Suppose -10*z = -z - d. What is the least common multiple of 1 and z?
21
What is the common denominator of 36/(-165)*195/(-78) - 3453/5544 and -131/168?
168
Let p = -764467/25 - -30580. Let o = 10/1473 + -23177/14730. Find the common denominator of p and o.
150
Suppose 4*g - 4*m + 35 = 7*g, 5*m - 10 = 0. Suppose -13 - 32 = -g*v. Suppose v*k + 4*s = -0*k - 3, 0 = -3*s - 6. What is the lowest common multiple of 20 and k?
20
What is the common denominator of 1/23380 and 6/27 - ((-16005)/(-2160) + -3)?
93520
Let k = -26503 + 795217/30. Let c = 32808839916217/19488 + -1683540639. Let d = 1/2784
|
{
"pile_set_name": "DM Mathematics"
}
|
of -42, -53, -64?
-11*t - 31
What is the d'th term of -103, -361, -793, -1405, -2203, -3193, -4381, -5773?
-d**3 - 81*d**2 - 8*d - 13
What is the h'th term of -1192, -2384, -3576, -4768?
-1192*h
What is the i'th term of 5082, 10152, 15220, 20286, 25350, 30412?
-i**2 + 5073*i + 10
What is the k'th term of -32, -38, -50, -74, -116?
-k**3 + 3*k**2 - 8*k - 26
What is the m'th term of -769, -1545, -2323, -3103, -3885, -4669, -5455?
-m**2 - 773*m + 5
What is the r'th term of -284, -236, -188, -140, -92, -44?
48*r - 332
What is the r'th term of -61, -82, -93, -88, -61, -6?
r**3 - r**2 - 25*r - 36
What is the f'th term of 37, 268, 895, 2116, 4129, 7132, 11323, 16900?
33*f**3 + 4
What is the w'th term of -352, -346, -340, -334, -328?
6*w - 358
What is the g'th term of 29, 53, 75, 95, 113, 129?
-g**2 + 27*g + 3
What is the u'th term of -925, -928, -931, -934, -937?
-3*u - 922
What is the q'th term of -11, -12, -27, -62, -123, -216?
-q**3 - q**2 + 9*q - 18
What is the y'th term of -8, 2, 18, 40, 68?
3*y**2 + y - 12
What is the c'th term of 17, 46, 63, 62, 37, -18?
-c**3 + 36*c - 18
What is the v'th term of 8, 21, 30, 35, 36, 33, 26?
-2*v**2 + 19*v - 9
What is the w'th term of -73, -158, -249, -346, -449?
-3*w**2 - 76*w + 6
What is the f'th term of -16, -37, -62, -91, -124, -161, -202?
-2*f**2 - 15*f + 1
What is the v'th term of -85, -133, -211, -319?
-15*v**2 - 3*v - 67
What is the x'th term of -511, -510, -509, -508?
x - 512
What is the m'th term of 1131, 4511, 10143, 18027, 28163, 40551?
1126*m**2 + 2*m + 3
What is the q'th term of -144, -286, -426, -564, -700, -834?
q**2 - 145*q
What is the s'th term of -52, -219, -500, -895, -1404, -2027?
-57*s**2 + 4*s + 1
What is the k'th term of -51, -60, -69, -78, -87, -96?
-9*k - 42
What is the t'th term of -26, -36, -52, -74, -102, -136, -176?
-3*t**2 - t - 22
What is the w'th term of 8032, 8031, 8030, 8029, 8028?
-w + 8033
What is the u'th term of -38, -109, -182, -257, -334, -413, -494?
-u**2 - 68*u + 31
What is the b'th term of 715, 710, 703, 694, 683, 670?
-b**2 - 2*b + 718
What is the h'th term of 87, 68, 47, 24, -1, -28?
-h**2 - 16*h + 104
What is the j'th term of 96, 164, 204, 210, 176?
-j**3 - 8*j**2 + 99*j + 6
What is the d'th term of 321, 325, 315, 285, 229, 141, 15, -155?
-d**3 - d**2 + 14*d + 309
What is the c'th term of 7210, 7213, 7218, 7225, 7234, 7245, 7258?
c**2 + 7209
What is the n'th term of -18, -13, -4, 9, 26?
2*n**2 - n - 19
What is the v'th term of -7, -18, -43, -88, -159, -262, -403, -588?
-v**3 - v**2 - v - 4
What is the d'th term of 2, 101, 382, 935, 1850, 3217, 5126, 7667?
15*d**3 + d**2 - 9*d - 5
What is the i'th term of 93, 379, 849, 1503?
92*i**2 + 10*i - 9
What is the v'th term of -42, -167, -376, -669, -1046, -1507?
-42*v**2 + v - 1
What is the f'th term of 75, 104, 183, 336, 587, 960, 1479, 2168?
4*f**3 + f**2 - 2*f + 72
What is the z'th term of -63, -64, -63, -60, -55?
z**2 - 4*z - 60
What is the x'th term of -47, -180, -403, -716?
-45*x**2 + 2*x - 4
What is the t'th term of 5, 11, 17?
6*t - 1
What is the b'th term of 0, -5, -12, -15, -8, 15, 60?
b**3 - 7*b**2 + 9*b - 3
What is the w'th term of -167, -339, -525, -731, -963, -1227, -1529?
-w**3 - w**2 - 162*w - 3
What is the f'th term of -83, -175, -283, -413, -571, -763?
-f**3 - 2*f**2 - 79*f - 1
What is the h'th term of -86, -119, -126, -95, -14, 129, 346, 649?
2*h**3 + h**2 - 50*h - 39
What is the o'th term of -1553, -3108, -4663, -6218, -7773, -9328?
-1555*o + 2
What is the z'th term of 155, 313, 471, 629, 787, 945?
158*z - 3
What is the n'th term of -460, -468, -480, -496, -516?
-2*n**2 - 2*n - 456
What is the x'th term of -173, -171, -169, -167, -165, -163?
2*x - 175
What is the w'th term of 14, 75, 178, 323, 510, 739, 1010?
21*w**2 - 2*w - 5
What is the u'th term of 1726, 1728, 1730, 1732, 1734, 1736?
2*u + 1724
What is the f'th term of -28, -73, -130, -205, -304, -433?
-f**3 - 38*f + 11
What is the d'th term of 73, 244, 541, 970, 1537, 2248, 3109, 4126?
d**3 + 57*d**2 - 7*d + 22
What is the d'th term of 3574, 3570, 3564, 3556, 3546, 3534?
-d**2 - d + 3576
What is the a'th term of 409, 801, 1195, 1591, 1989, 2389, 2791?
a**2 + 389*a + 19
What is the x'th term of 48, 64, 82, 102, 124, 148?
x**2 + 13*x + 34
What is the b'th term of 414, 416, 418?
2*b + 412
What is the o'th term of 175, 349, 523, 697, 871, 1045?
174*o + 1
What is the x'th term of -6, -6, 2, 18, 42, 74?
4*x**2 - 12*x + 2
What is the f'th term of -60, -124, -204, -306, -436, -600, -804, -1054?
-f**3 - 2*f**2 - 51*f - 6
What is the p'th term of 69, 136, 201, 264?
-p**2 + 70*p
What is the u'th term of -340, -349, -358?
-9*u - 331
What is the o'th term of -1, 10, 21, 32, 43?
11*o - 12
What is the a'th term of 7339, 14680, 22021?
7341*a - 2
What is the r'th term of 82, 72, 64, 64, 78, 112, 172?
r**3 - 5*r**2 - 2*r + 88
What is the f'th term of 2187, 2198, 2223, 2268, 2339, 2442, 2583?
f**3 + f**2 + f + 2184
What is the c'th term of -39801, -39793, -39773, -39735, -39673?
c**3 + c - 39803
What is the o'th term of 103, 120, 127, 118, 87?
-o**3 + o**2 + 21*o + 82
What is the a'th term of -855, -1699, -2539, -3375?
2*a**2 - 850*a - 7
What is the q'th term of -40, -41, -42?
-q - 39
What is the i'th term of -38, -74, -108, -140, -170?
i**2 - 39*i
What is the u'th term of 870, 874, 880, 888, 898, 910?
u**2 + u + 868
What is the i'th term of 2110, 2108, 2106, 2104, 2102?
-2*i + 2112
What is the c'th term of -198, -392, -584, -774, -962, -1148, -1332?
c**2 - 197*c - 2
What is the j'th term of -64, -144, -228, -316, -408?
-2*j**2 - 74*j + 12
What is the b'th term of -25, -252, -889, -2140, -4209?
-34*b**3 - b**2 + 14*b - 4
What is the c'th term of -104, -126, -194, -332, -564?
-4*c**3 + c**2 + 3*c - 104
What is the d'th term of 416, 824, 1232, 1640?
408*d + 8
What is the t'th term of -138, -224, -310?
-86*t - 52
What is the i'th term of 499, 504, 511, 520?
i**2 + 2*i + 496
What is the j'th term of -59, -118, -179, -242?
-j**2 - 56*j - 2
What is the i'th term of -5, 9, 41, 97, 183, 305, 469?
i**3 + 3*i**2 - 2*i - 7
What is the m'th term of -1013, -2046, -3103, -4196, -5337?
-2*m**3 - 1019*m + 8
What is the z'th term of -8, -38, -96, -188, -320, -498, -728?
-z**3 - 8*z**2 + z
What is the g'th term of -127, -120, -113, -106, -99, -92?
7*g - 134
What is the d'th term of 39, 91, 143, 195, 247, 299?
52*d - 13
What is the z'th term of 41, 36, 21, -10, -63?
-z**3 + z**2 - z + 42
What is the m'th term of -12, -61, -148, -273, -436?
-19*m**2 + 8*m - 1
What is the r'th term of 36, 250, 814, 1902, 3688?
29*r**3 + r**2 + 8*r - 2
What is the i'th term of -36, -24, 20, 114, 276, 524?
3*i**3 - 2*i**2 - 3*i - 34
What is the y'th term of 40, 84, 128, 172, 216, 260?
44*y - 4
What is the i'th term of -21, -47, -73, -99?
-26*i + 5
What is the d'th term of -1862, -1891, -1930, -1985, -2062?
-d**3 + d**2 - 25*d - 1837
What is the o'th term of -138, -308, -504, -726, -974, -1248?
-13*o**2 - 131*o + 6
What is the w'th term of 199, 373, 537, 685, 811, 909, 973, 997?
-w**3 + w**2 + 178*w + 21
What is the r'th term of -30, -123, -270, -471, -726, -1035?
-27*r**2 - 12*r + 9
What is the j'th term of -24410, -24409, -24408?
j - 24411
What is the b'th term of -14, -12, 2, 34, 90?
b**3 - 5*b - 10
What is the y'th term of 27, 93, 201, 351, 543, 777, 1053?
21*y**2 + 3*y + 3
What is the l'th term of 494, 492, 490, 488, 486?
-2*l + 496
What is the v'th term of 569, 567, 561, 551, 537?
-2*v**2 + 4*v + 567
What is the p'th term of -76, -87, -102, -121?
-2*p**2 - 5*p - 69
What is the r'th term of 18551, 18548, 18543, 18536, 18527?
-r**2 + 18552
What is the b'th term of -144, -145, -146, -147, -148, -149?
-b - 143
What is the f'th term of 24, 60, 120, 204?
12*f**2 + 12
What is the f'th term of 6, -23, -72, -141, -230?
-10*f**2 + f + 15
What is the z'th term of 10, 14, 6, -14, -46, -90, -146?
-6*z**2 + 22*z - 6
What is the v'th term of -27, -35, -39, -39, -35, -27, -15?
2*v**2 - 14*v - 15
What is the l'th term of 22367, 22369, 22371, 22373, 22375, 22377?
2*l + 22365
What is the o'th term of 6, -4, -4, 12, 50, 116, 216?
o**3 - o**2 - 14*o + 20
What is the k'th term of 1969, 3936, 5903, 7870?
1967*k + 2
What is the g'th term of -24, -45, -76, -123, -192?
-g**3 + g**2 - 17*g - 7
What is the d'th term of 19, -23,
|
{
"pile_set_name": "DM Mathematics"
}
|
y**3 - 2*q*s - 2197*s*y**3 - 58*y wrt q.
4*s*y**3 - 1226674*y**3
Find the first derivative of -216537*d**2 + 919526.
-433074*d
Find the second derivative of 150662*n**2 + 619410*n wrt n.
301324
Find the third derivative of 12628*h**3 + 2*h**2 + 19*h + 5.
75768
Find the second derivative of 10330*c**4 + 8*c**2 + 9554*c + 51 wrt c.
123960*c**2 + 16
What is the second derivative of -683*w**4 - 2985*w**3 - 25*w - 29168 wrt w?
-8196*w**2 - 17910*w
Find the third derivative of 2*i**3*l - 468168*i**3 - 65*i**2*l - 8*i**2 + 8*i*l - i - 2 wrt i.
12*l - 2809008
Find the second derivative of 1463*c**2*g**2 - c**2*g - 178*c**2 - 8*c*g**3 + 2*c*g**2 - 5*c*g - 2*g wrt g.
2926*c**2 - 48*c*g + 4*c
What is the third derivative of -26696*y**3 - 97085*y**2 + 2?
-160176
Find the third derivative of -l**5 + 2862*l**4 + 3*l**3 + 44*l**2 + 15*l + 18 wrt l.
-60*l**2 + 68688*l + 18
Find the third derivative of 77912*k**2*r**4 - 18*k**2*r + k**2 - 25*k*r**2 + r**4 + 2*r wrt r.
1869888*k**2*r + 24*r
Find the first derivative of -268465*l**3 - 818517 wrt l.
-805395*l**2
What is the second derivative of -n**3 + 42386*n**2 - 561813*n?
-6*n + 84772
Find the third derivative of 41416*j**4 + j**3 + j**2 - 14200*j - 90.
993984*j + 6
What is the third derivative of 17764*f**3 - 38974*f**2?
106584
Find the second derivative of -622892*k**3*s**2 - 12*k**3*s - 56*k**2*s - 8*k - 5 wrt s.
-1245784*k**3
What is the third derivative of 1354150*x**3 - 442411*x**2 wrt x?
8124900
Find the third derivative of -17581*k**6 + k**5*w + 1066*k**2*w + 79*k*w wrt k.
-2109720*k**3 + 60*k**2*w
What is the third derivative of 31*l**4 - 1596*l**3 - 980*l**2 + 60 wrt l?
744*l - 9576
What is the second derivative of -30875*g**3 - 2*g**2 + 39836*g wrt g?
-185250*g - 4
What is the third derivative of -2*k**4*q - 101*k**4 - 2*k**3*q*u + 28*k**2*q - 4*k**2*u + 2*k*q + 3*k*u + 3*k wrt k?
-48*k*q - 2424*k - 12*q*u
Find the first derivative of -1751*q**2 - 3034 wrt q.
-3502*q
Find the first derivative of 3799726*l*q + 1731654*l wrt q.
3799726*l
Find the first derivative of -d**3 + 44173*d + 235228.
-3*d**2 + 44173
Find the first derivative of -1474*b**4*u**2 + 212*b*u**2 - 147*u**2 - 38*u + 9 wrt b.
-5896*b**3*u**2 + 212*u**2
Find the third derivative of -b**2*z**3 + b**2*z**2 + 4*b*z**2 + 1917*b + 83114*z**3 wrt z.
-6*b**2 + 498684
What is the first derivative of s*x + 44265*s + 7478*x wrt x?
s + 7478
Differentiate -6*w**4 - w**3 - 26767*w - 616710 with respect to w.
-24*w**3 - 3*w**2 - 26767
Find the second derivative of -1558901*c**2 - c - 78901 wrt c.
-3117802
Differentiate -3*a**2*d**2 - a**2*d + 2*a**2 - 33*a - 3*d**2 - 374*d + 815 wrt d.
-6*a**2*d - a**2 - 6*d - 374
What is the second derivative of 58*m**4 + 192*m**3 - m**2 - 27787*m wrt m?
696*m**2 + 1152*m - 2
Find the first derivative of 989*c*i**3 - 13*c*i - 82563*c - 1 wrt i.
2967*c*i**2 - 13*c
Find the first derivative of -7274*v**2 + 76897 wrt v.
-14548*v
Find the second derivative of -3*p**4*t - 3928*p**2*t**2 + 95*p*t**2 - 37*p*t - 5*p wrt p.
-36*p**2*t - 7856*t**2
Find the second derivative of 2931164*j**5 + 2000693*j.
58623280*j**3
What is the second derivative of -1657686*z**2 + 4906*z - 1?
-3315372
What is the second derivative of 40269*j**4 + 251557*j?
483228*j**2
Find the third derivative of -871*j**5 + 2*j**4 - 4*j**3 - 75*j**2 - 132*j - 2 wrt j.
-52260*j**2 + 48*j - 24
What is the first derivative of 2*l**4 - 2*l**3 + 28*l**2 - 30*l - 423712?
8*l**3 - 6*l**2 + 56*l - 30
What is the second derivative of 15093*k**2 - 27864*k?
30186
Differentiate 20126*j*r**2 + 79464*j - r**3 wrt r.
40252*j*r - 3*r**2
What is the third derivative of 120*s**2*v**4 + 1110*s**2*v + 229*s*v**4 + 8*v**2 wrt v?
2880*s**2*v + 5496*s*v
What is the second derivative of 7870*b**4 - 4*b**2 + 134251*b wrt b?
94440*b**2 - 8
What is the third derivative of l*v**4 + 6*l*v**3 - 2*l*v - 2493*l + 186*v**4 - 4*v**3 - 2*v**2 - 5 wrt v?
24*l*v + 36*l + 4464*v - 24
Differentiate -287563*y**3 - 511690 wrt y.
-862689*y**2
What is the second derivative of -13709*h**3*m**3 + 7*h**3*m + 686*h*m**3 - 12*m**3 wrt h?
-82254*h*m**3 + 42*h*m
Find the second derivative of -55*f**5 + 2*f**4 - 28*f**3 + 100700*f wrt f.
-1100*f**3 + 24*f**2 - 168*f
What is the second derivative of -17*m**2*n**2 + 25*m**2 - 953*m*n**2 + 690*m*n wrt n?
-34*m**2 - 1906*m
Find the second derivative of d**4*z - 2*d**3 + 3*d**2*z - 4015*d**2 + 67149*d + 4*z wrt d.
12*d**2*z - 12*d + 6*z - 8030
Find the third derivative of 2*b**2*h*t**3 - 59*b**2*h - 47*b*t**3 - 2*h*t**3 + 34*t**3 + 324*t**2 wrt t.
12*b**2*h - 282*b - 12*h + 204
Find the third derivative of -243476*b**3 - 599*b**2 - 83 wrt b.
-1460856
What is the derivative of -3738*g**3 + 4*g**2 + 76*g + 4359807 wrt g?
-11214*g**2 + 8*g + 76
Find the first derivative of -1310827*b**2 + 628234 wrt b.
-2621654*b
What is the second derivative of 306547*y**2 + 1443*y - 302 wrt y?
613094
What is the first derivative of 25760*b**3*f**3 + b**3 - 16658*b**2 + 2*b + 2 wrt f?
77280*b**3*f**2
What is the second derivative of 8501*g**5*l - 9*g**5 - 2008*g + 488*l wrt g?
170020*g**3*l - 180*g**3
Find the second derivative of 2*a**2*i**3*t - a**2*i**3 - 303*a**2*t**2 - 2*a*i**3*t - 187*i**3*t**2 - 16594*i*t wrt t.
-606*a**2 - 374*i**3
Find the second derivative of 2180723*x**2*y**2 - 505090*x**2*y wrt y.
4361446*x**2
Find the third derivative of -42139*g**3 - 6*g**2 + 173.
-252834
What is the first derivative of -231967*v**3 + 218133 wrt v?
-695901*v**2
What is the second derivative of -53*z**5 + 374*z**4 - z**3 + 40203*z - 3?
-1060*z**3 + 4488*z**2 - 6*z
Differentiate -2*q**3 - 9039*q**2 - 2*q - 655458 with respect to q.
-6*q**2 - 18078*q - 2
Differentiate -271532*n**3 - 263924 wrt n.
-814596*n**2
What is the derivative of 198543*i*r - 530267*i wrt r?
198543*i
Find the second derivative of 2*b**2*c**2*o + 28*b**2*o - 4015*b*c**2 + 2*b*c*o - 111*b*o + 4*c**2*o - o wrt c.
4*b**2*o - 8030*b + 8*o
What is the derivative of 61918*f - 43987?
61918
What is the derivative of 43819*k**3 - 2*k**2 - 39751?
131457*k**2 - 4*k
Find the first derivative of 53890*u**2 + 708647 wrt u.
107780*u
What is the derivative of 37006*h*z**3 - 2*h*z - 7*h + 2*z**3 - 143572*z - 1 wrt h?
37006*z**3 - 2*z - 7
What is the third derivative of 105888*x**3 - 2*x**2 - 23461*x wrt x?
635328
Find the second derivative of 25*h**2*q*t**2 - 6*h**2*t + h**2 + 3*h*q*t**2 - 8858*h*t**2 - 2*h*t + 15554*q wrt t.
50*h**2*q + 6*h*q - 17716*h
Differentiate 4*b**3*s**3 + 281287*b**3 + 2*b - 253188*s**3 with respect to s.
12*b**3*s**2 - 759564*s**2
Differentiate 3*g**2*n**2 - 448*g**2 - 2*g + 57*n**2 + 316*n with respect to g.
6*g*n**2 - 896*g - 2
What is the second derivative of -7*l**5*u - 17673*l**2*u - 24*l + 8*u wrt l?
-140*l**3*u - 35346*u
What is the second derivative of -1949593*a**4 - 2*a**2 - 4748098*a?
-23395116*a**2 - 4
Differentiate -827610*i**4 - 4580236 wrt i.
-3310440*i**3
What is the second derivative of 4*g*m**3 + 363*g*m**2 + 125636*g*m + 14*m**3 + m**2 - 4 wrt m?
24*g*m + 726*g + 84*m + 2
Find the second derivative of 20*h*m**2*z - 2*h*m**2 + 2*h*m*z - 2*h + 5*m**2*z + 3*m**2 - 13*m*z - 644*m wrt m.
40*h*z - 4*h + 10*z + 6
What is the third derivative of 177343*x**3 - 44762*x**2 wrt x?
1064058
What is the second derivative of 730523*c**3*h**5 + c**3*h**3 + 224595*c**3*h + c**2*h wrt h?
14610460*c**3*h**3 + 6*c**3*h
What is the second derivative of 228135*j**2*x + 74*j*x + 13*x wrt j?
456270*x
What is the third derivative of 30420*t**4 - 10*t**2 + 6*t + 15?
730080*t
Differentiate -43251*b*u**3 + 2*u**3 + 3*u**2 - 4690*u with respect to b.
-43251*u**3
What is the third derivative of 6*a**5 + 2439*a**3 + 1820*a**2 - 70*a?
360*a**2 + 14634
Find the second derivative of 1597*m**4 + 12*m**3 + 156376*m wrt m.
19164*m**2 + 72*m
Find the second derivative of i**3 + 82901*i**2 + 29856*i.
6*i + 165802
What is the third derivative of 2*y**5 - 112065*y**4 + 9960*y**2 + 16*y - 2 wrt y?
120*y**2 - 2689560*y
What is the derivative of -258*f*m**2 - 26*f*m + 73*m**2 - 205*m - 1 wrt f?
-258*m**2 - 26*m
What is the second derivative of b*k**2*t**3 - 73927*b*k**2*t - 200*b*k*t**3 + 156*b*t**2 + 2*k*t**2 wrt k?
2*b*t**3 - 147854*b*t
Find the first derivative of 15981*n**4 + n**2 - 262.
63924*n**3 + 2*n
What is the second
|
{
"pile_set_name": "DM Mathematics"
}
|
2/(-75).
1/4
Calculate 485/(-194)*20/1425.
-2/57
What is (6/(1554/(-7)))/(1/(4/4))?
-1/37
What is 8/34*538/(-2152)?
-1/17
Calculate (3/(18/8))/(-1*88/(-36)).
6/11
Calculate 3*10/(-6)*(-4)/(-350).
-2/35
What is the value of 5/((-15)/18)*55/(-66)?
5
Evaluate ((-8)/18)/(7/(2142/884)).
-2/13
(68/68*1/(-1))/(3/3)
-1
Calculate (-560)/(-112)*176/24*6/(-10).
-22
10*(-18)/360*-2
1
Calculate (90/330)/((6/(-45))/(2/9)).
-5/11
Evaluate 18/168*-6*(-20)/45.
2/7
Evaluate (891/396)/((15/(-2))/5).
-3/2
Evaluate 33*(-70)/(-4158)*6*3.
10
Calculate ((-4)/35)/(8*2/120).
-6/7
What is the value of ((-9)/3)/((-6)/(-17))*-2?
17
Evaluate (-12)/(-4)*1*-7*(-5)/(-15).
-7
((63/9)/7)/(6*(-1)/(-3))
1/2
Calculate 2/(4*4/32)*(-1020)/(-240).
17
What is the value of -2*(-13)/(1456/(-24))?
-3/7
What is the value of (1462/((-3698)/(-43)))/((-1*1)/1)?
-17
(2/15)/((95/50)/(-19))
-4/3
Evaluate 352/(-320)*4/11.
-2/5
Evaluate (320/4)/(-4)*9/(-36).
5
Evaluate (-5*(-36)/75)/((-74)/(-185)).
6
Evaluate (4/7)/(18/(-15)*(-5)/63).
6
Evaluate 1/(33/22*697/51).
2/41
Calculate ((-85)/(-12155))/((1/(-22))/((-1)/4)).
1/26
What is ((-6)/((-36)/10))/(((-32)/24)/(-4))?
5
Calculate 3*70/21*1*(-1)/5.
-2
Evaluate 33/12*(-132)/(-726).
1/2
Calculate ((3/105)/1)/((-21)/(945/(-18))).
1/14
Calculate (25/(-30))/(130/(-78))*(-10)/1.
-5
What is ((847/88)/77)/(((-4)/2)/12)?
-3/4
((4/7)/(42/(-147)))/((-5)/2)
4/5
What is the value of ((-11)/((-2530)/(-207)))/((-63)/(-15))?
-3/14
What is the value of (52/(-65)*5)/(4/13)?
-13
Calculate ((-7)/28)/(((-7)/1932*-6)/(-2)).
23
What is ((-24)/(-10))/(5*(-3)/(-75))?
12
Evaluate 1175/141*63/105.
5
Calculate ((-28)/(-8))/(28/(-56)).
-7
What is the value of (-4)/(21/((-1638)/(-104)))?
-3
Calculate 5/((-10)/11)*116/(-19778).
1/31
What is the value of (-1)/((-22)/(44/(-21)))?
-2/21
Evaluate ((-10)/(-2))/((18/63)/(420/(-245))).
-30
Evaluate (22/132)/(3/(-3)*(-1)/16).
8/3
What is the value of ((-125)/1125)/(5/(-9))?
1/5
What is ((-8)/(-7))/(400/280*(-11)/(-5))?
4/11
What is the value of 3/35*(-750)/(-90)?
5/7
What is (-168)/9*294/686?
-8
Calculate (-6696)/465*40/24.
-24
Calculate (-80)/(-3600)*(-10)/(-6)*(-12)/2.
-2/9
(-70)/18*(-1158)/(-2702)
-5/3
Calculate 2/((12/46)/(18*(-4)/24)).
-23
Calculate (-756)/126*(((-75)/(-9))/(-5))/1.
10
((-2)/13)/((-620)/(-260))
-2/31
10*16/(-800)*-85
17
Evaluate (-48)/(-2)*5/(165/11).
8
Calculate (18/972*-15)/(4/(-18)).
5/4
Evaluate ((32/120)/(-4))/(4/72*2).
-3/5
Evaluate (10*3/(-24))/((12/(-3))/48).
15
Evaluate ((9/12)/1)/((-10)/((-320)/(-432))).
-1/18
Evaluate (-1)/(-66)*2448/(-136).
-3/11
What is ((-4)/10)/(5/225*-6)?
3
(-1800)/780*(-7)/(84/78)
15
(145/(-348))/(21/(-1260))
25
Calculate (1005/(-9380))/(36/(-14)).
1/24
(200/(-12))/((-150)/(-180))
-20
3/51*(-2634)/(-439)
6/17
What is ((405/15)/81)/(12/(3/1))?
1/12
What is the value of (21/(-14))/(9/3)*2?
-1
Calculate (2/(-20))/((207/(-276))/(9/6)).
1/5
What is the value of (30/5)/(((-12)/18)/1)?
-9
Calculate (((-60)/21)/(-2))/((-61)/427).
-10
What is (-126)/54*((-8)/(-16))/((-3)/18)?
7
Calculate 8*(-88)/12*16/((-768)/(-18)).
-22
What is the value of (4197/19586)/(1/(14/(-4)))*-28?
21
What is the value of (2/(-5))/(1320/(-600))?
2/11
What is the value of (((-408)/119)/(-4))/(1/((-28)/4))?
-6
Evaluate 2*(-10)/(-16)*(-176)/11220.
-1/51
Calculate 3*(-19)/15390*-18*(-6)/19.
-2/95
What is the value of (1/3*84/(-112))/(4/(-64))?
4
What is the value of (2/6)/(280/336)*-2?
-4/5
(((-3888)/(-126))/(-9))/((-20)/14)
12/5
(325/(-286))/(-25)*4/1
2/11
1/(26/((-11492)/26))
-17
What is ((-8)/(-14))/((-1790)/3759)?
-6/5
-28*(-13)/780*35/14
7/6
Calculate ((-6)/16)/((35/(-25))/(52/(-585))).
-1/42
((-30)/105)/(((-230)/69)/((-28)/(-18)))
2/15
What is (-2)/(-204)*18/21*574/123?
2/51
What is (6/(-2))/(15*(-28)/280)?
2
Calculate (-252)/(-7497)*(-7)/2.
-2/17
7360/(-368)*12/(-15)
16
Evaluate 4/(-216)*28*7/((-14)/6).
14/9
Evaluate 4/(-20)*(230/3)/(52/78).
-23
What is (2863/818)/(6/(-4))?
-7/3
Calculate (-7)/14*(-50)/20.
5/4
Evaluate (3436/6872)/(((-6)/(-4))/(-3)).
-1
Evaluate (4*3/27)/((-39)/(2457/(-14))).
2
Evaluate 5*30/100*(-16)/3.
-8
Calculate (0/17*1)/((-4)/(-2)).
0
Evaluate (8*4/112)/(-3).
-2/21
Evaluate (-5)/50*180/(-90).
1/5
Calculate ((-1)/3)/(5/(-5))*(-32)/32.
-1/3
What is (-12)/9*(-99)/88?
3/2
What is ((-2)/((-20)/(-15)))/(-1)?
3/2
((-104)/104)/(3*(-3)/(-27))
-3
What is (3/(-7))/(((-30)/2)/(-315))?
-9
Evaluate 25/(650/(-208))*-3*(-5)/6.
-20
Calculate (-37)/(1998/405)*(-16)/(-12).
-10
What is (2900/232)/(10/(-8))?
-10
Evaluate ((15435/42)/35)/(6/4).
7
(14/((-308)/3)*-2)/((-21)/(-28))
4/11
((-1)/5)/((12/170)/(-6))
17
What is ((-99)/6)/((-47)/((-1222)/39))?
-11
(((-27)/(-1))/(-9))/(20/(4/2))
-3/10
What is (45/81)/(20/(-90))?
-5/2
What is (-15)/(-12)*(-490)/(-350)?
7/4
Calculate -38*87/(-4408)*2/(-9).
-1/6
Calculate 1/(-96)*-8*-10.
-5/6
What is the value of (-2910)/194*(-2)/(-2)?
-15
What is the value of 246/(-82)*3/27*-3?
1
Evaluate (-2)/18*6*270/20*3.
-27
(-8)/(-6)*(-1449)/322
-6
What is the value of (12/63*6)/((-260)/6370)?
-28
Evaluate ((-3)/4)/(3/(-48)).
12
What is the value of (2/14)/(3/(-7)*218/109)?
-1/6
Evaluate 28/((-44)/11)*-3*32/(-84).
-8
Evaluate 11*(646/(-187))/19.
-2
Evaluate (-504)/((-216)/24)*1/4.
14
What is ((-2)/(-22))/(110/(-220))?
-2/11
Evaluate 28/(-8)*(-15)/((-420)/64).
-8
What is (-70)/126*12*24/20?
-8
What is ((-15)/(-5))/(-27*(-9)/(-18)*1)?
-2/9
Evaluate (114/665)/(9/60).
8/7
What is ((-5)/(-1))/40*2*(-1)/1?
-1/4
What is the value of (3/(60/5))/(((-245)/168)/5)?
-6/7
What is ((-2)/4)/((-8)/(-48))*26/(-18)?
13/3
Evaluate 1*19/(-3420)*5.
-1/36
Calculate 1/6*((-40)/(-190))/(8/12).
1/19
((-4)/60*5)/((-2)/18)
3
Evaluate (5/(-15))/(((-793)/6)/61).
2/13
((-7950)/(-270))/53*2/(-10)
-1/9
What is 4/12*984/902*(-3)/2?
-6/11
What is the value of (-6)/(-3)*(-4)/80*2?
-1/5
((-1413)/471)/(12/14)
-7/2
What is (2/18)/(1*-5*(-240)/(-3600))?
-1/3
165/10*3*1*124/(-279)
-22
396/110*80/(-24)
-12
Calculate 2/((2/130)/((-74)/(-740))).
13
Calculate -4*(-30)/(-240)*18.
-9
Calculate ((-36816)/(-64))/(-59)*4/3.
-13
What is the value of (12/9)/((24/135)/(-4)*-2)?
15
What is the value of -6*(4/10*(-230)/46)/(-2)?
-6
What is (-41328)/4920*(-30)/9?
28
What is (-24)/(-264)*187/17?
1
What is 5*(-16)/200*(-30)/(-78)?
-2/13
Calculate 7/6*5/(-210)*3*-4.
1/3
(10/15)/((6*7/63)/(-11))
-11
What is (12/(-5))/((-150)/(-500))?
-8
Calculate (-3)/((-104)/(-16)*-60*3/6).
1/65
What is the value of (-2)/12*1/(-7)*1344/128?
1/4
What is (16/12)/(26/3)*(-9)/(-6)?
3/13
Evaluate ((12/(-16))/3)/(28/(-56)).
1/2
(((-4)/4*56)/(28/14))/(-2)
14
What is 84*-15*9/(-540)?
21
What is ((-35)/(-5))/(-14)*(-4)/(-14)?
-1/7
(-386)/(-193)*(-13)/(-2)
13
What is 8/24*((-14)/(-70))/((-2)/15)?
-1/2
What is the value of (2/(-14)*1)/(448/7840)?
-5/2
What is (((-10)/15)/((-21)/54))/(14/49)?
6
Evaluate (-608)/1368*(-2)/(-4)*(-20)/(-8).
-5/9
Evaluate 0/(28/((-154)/(-11))).
0
Calculate ((-20)/5)/((7790/19)/5).
-2/41
What is -2*(2/2)/((-41)/82)?
4
Calculate ((-142)/284)/(2/56).
-14
What is (2/(-12))/(134/2412)?
-3
(-78)/(-1404)*((-12)/20)/((-2)/(-5))
-1/12
What is (26708/(-3642))/(4/(-18))?
33
What is 40/(-1)*-1*1*24/(-60)?
-16
What is (24/6)/(680/(-68))?
-2/5
Calculate 2190/(-876)*(-2)/1*-1.
-5
(1*3)/((-32)/(5760/(-54)))
10
Evaluate (5/6)/(-5)*327/1526.
-1/28
Calculate (-9)/(-18)*-3*(-24)/(-6).
-6
What is ((-1)/40)/(1155/(-3080))?
1/15
(-636)/742*14/(-15)*-1
-4/5
Evaluate 9*10*(-6)/(-2160)*-3.
-3/4
Evaluate ((-50)/50)/((55/30)/11).
-6
(20/(-15))/(35*50/(-75))
2/35
Evaluate (18/(-45))/(((-2)/(-10))/((-15)/50)).
3/5
Calculate 259*(-103)/309*3/(-7).
37
What is (((-896)/(-28))/8)/1?
4
What is the value of (-5*(-88)/(-60))/(-3*(-2)/(-9))?
11
Evaluate (60/4)/(((-204)/8)/(-17)).
10
Evaluate (-1890)/2268*2/(-24)*48/60.
1/18
Evaluate 252/(-360)*464/(-14)*(-5)/(-20).
29/5
What is 1056/192*(-840)/(-154)?
30
Calculate (63/27)/(18/(-54)).
-7
Evaluate (-11)/(-352)*((-4)/(-1))/(-4).
-1/32
Calculate (-1)/((-175)/10)*154/33*3.
4/5
Calculate 0/((16/10)/(5/275*22)).
0
(680/85)/(2/(-3))
-12
What is 5/(((-8)/(-8))/(-1))*4/(-140)?
1/7
(12/((-132)/(-11)))/(2/(-22))
-11
Evaluate 16/(-3)*(-279)/5766*31.
8
What is the value of ((-104)/(-780))/((-8)/60*(-18)/4)?
2/9
((-728)/21)/(-13)*39/(-26)
-4
What is ((-3)/(-6))/(669/(-33450))?
-25
Calculate (-592)/(-370)*15/102.
4/17
What is the value of (1/2
|
{
"pile_set_name": "DM Mathematics"
}
|
= 4*v, -2*j + 48 = 2*v + 14. Let s(i) = 13 - v + 11*i. Does 10 divide s(1)?
False
Let x = -62 + 104. Suppose 5*u + 19 - 6 = 3*g, -2*g = 5*u - x. Is 4 a factor of g?
False
Let w = 198 + -126. Is 10 a factor of w?
False
Suppose -3*d + 2*d - 1 = 0. Let k = 18 + d. Is 9 a factor of k?
False
Let x(u) = -25*u - 49. Is 42 a factor of x(-7)?
True
Let s be -2 + (1/(-1) - 15). Is 5 a factor of (-86)/s + 6/27?
True
Let o = 20 + 7. Does 27 divide o?
True
Suppose -9*r = -7*r - 270. Does 15 divide r?
True
Suppose -r - 3*r = 2*m - 312, 4*m = -4*r + 316. Is 11 a factor of r?
True
Let y(m) be the third derivative of -m**6/120 + m**5/60 + m**4/12 + m**3/2 + m**2. Suppose 0 = 7*z + z + 16. Is 6 a factor of y(z)?
False
Let g = 414 + -110. Suppose 0*w = 5*w - 20, 4*w - g = -4*v. Is v a multiple of 32?
False
Suppose 0 = l + 5*o - 15, 3*l + l + 3*o - 26 = 0. Suppose -2*y - 306 = -2*z, 5*y - 6*y - 618 = -4*z. Suppose 0 = -l*j - 0 + z. Is 11 a factor of j?
False
Suppose 0*d = -3*d + 60. Is 10 a factor of d?
True
Suppose 2*j - 5*j + 6 = 0. Suppose -l - 2*l = -4*p - 35, -3*p = j*l + 5. Is 5 a factor of l?
True
Suppose 205 = -9*h + 4*h. Let k = h - -73. Does 16 divide k?
True
Let c = -70 + 102. Does 13 divide c?
False
Let t = -197 + 309. Does 32 divide t?
False
Let u(x) be the third derivative of x**6/120 - x**5/60 - x**4/8 + x**3/2 + 2*x**2. Is u(3) a multiple of 12?
True
Let k(c) = -2*c - 3. Let x be k(-3). Let w = -5 + 20. Suppose 0 = x*z - 15 - w. Does 7 divide z?
False
Let n(s) = -28*s - 3. Let i be n(-3). Let w = i + -42. Is 13 a factor of w?
True
Is (-110)/(5/((-5)/2)) a multiple of 11?
True
Let a(q) = 27*q. Let k be a(1). Suppose k = g - 0*g. Is 10 a factor of g?
False
Let k(t) = 2*t**3 + 12*t**2 - 10*t - 19. Is k(-6) a multiple of 5?
False
Let w = 67 + -43. Let r = -14 + w. Is r a multiple of 5?
True
Let m(k) = -k**2 + k + 1. Let i be m(0). Let p = 13 + i. Is 14 a factor of p?
True
Let n(l) = -l**3 + 8*l**2 + 8*l - 6. Let p be n(8). Suppose p = 2*m - g, m - 4*m + 3*g + 93 = 0. Is 9 a factor of m?
True
Suppose 68 = -0*a + a + d, 0 = -2*a - 4*d + 138. Is 17 a factor of a?
False
Suppose 6*y = 4*y + 4. Suppose 2*x + 5*c - 10 = 0, -2*x + c = -y*c - 10. Suppose 152 = x*j - j. Is j a multiple of 16?
False
Let y(i) = 4*i - 10. Let x be y(5). Let a = 34 - x. Does 7 divide a?
False
Let x = -60 + 117. Does 20 divide x?
False
Suppose -5*d + 81 = 3*z - 109, -5*z - d = -302. Is z a multiple of 30?
True
Suppose -5*o - 76 = -251. Suppose b = 2*b - 21. Suppose o = 3*f - f + v, 0 = f - 3*v - b. Does 9 divide f?
True
Let s be 2/7 - (-5620)/28. Suppose -s = -4*y - 25. Is y a multiple of 16?
False
Let i = 53 + 19. Does 45 divide i?
False
Suppose -3 = f - 4*f + 5*v, -39 = -4*f - 5*v. Suppose -3*j + f = -3. Suppose -6*o + j*o = -69. Is o a multiple of 8?
False
Suppose -5*l - 5 = -25. Is 11 a factor of (2 - l)/(4/(-94))?
False
Suppose -132 = 18*f - 762. Is f a multiple of 5?
True
Let p(x) = x + 3. Let q be p(0). Let j be q/9*3 - -2. Suppose -4*n = j*z - 67, z - 81 = 2*n - 7*n. Does 8 divide n?
True
Let s = -51 + 81. Is s a multiple of 7?
False
Suppose -g - 135 = -2*p, 0*p - 5*g - 90 = -p. Suppose 3*b + y - p = 0, -y + 107 = 5*b - 0*y. Let k = -1 + b. Is k a multiple of 8?
False
Let p(g) = -8*g - 4. Let h(t) = -2. Let f(j) = -6*h(j) + 2*p(j). Is 18 a factor of f(-3)?
False
Let v = 125 + -75. Does 25 divide v?
True
Let q(t) = 9*t - 6. Let v(k) = -9*k + 7. Let j(l) = 4*q(l) + 3*v(l). Is 15 a factor of j(4)?
False
Let r(i) = -54*i - 16. Let k(t) = -11*t - 3. Let u(l) = -11*k(l) + 2*r(l). Let g(b) = b**2 + 4*b + 4. Let j be g(-3). Is u(j) a multiple of 7?
True
Let o be (3/2)/((-1)/(-6)). Let i be 5/(-15)*(0 + o). Let k(z) = -z**3 - z**2 + 4*z + 2. Is k(i) a multiple of 7?
False
Let l be -3 - (-1)/((-1)/45). Let s = l + 82. Does 10 divide s + -1*(1 - 1)?
False
Suppose 5*q + u - 136 - 40 = 0, -2*u - 8 = 0. Is q a multiple of 12?
True
Let u = -66 + 140. Suppose 5*p = 3*t + 159, -2*p = -4*t - u + 16. Suppose 0 = -4*h + p - 1. Is 4 a factor of h?
True
Suppose -o - 20 = -7*l + 2*l, 0 = -l - 3*o + 20. Let g = l - 5. Let v(n) = n**2 + 16. Is 9 a factor of v(g)?
False
Let s be (0 - -1)/(3/27). Is ((-24)/(-4))/(s/6) a multiple of 3?
False
Suppose -3*t = -2*o - 11, 5*t - 4*o - 12 = 5. Is -1*(-2 + 0 - t) a multiple of 6?
False
Let m = -36 + 67. Let p = 65 - 16. Let b = p - m. Is 9 a factor of b?
True
Let u = -292 + 547. Is 15 a factor of u?
True
Suppose 2*j = -2*u + 37 + 79, j - 3*u = 70. Does 4 divide j?
False
Let g(h) = -11*h + 3. Is 14 a factor of g(-6)?
False
Suppose 5 = w + 4. Let u be (2 - 1) + (1 - w). Is 7 a factor of 1 - (-12 - u*-2)?
False
Suppose -o - 33 = -85. Does 13 divide o?
True
Let j be 2/6 + 154/(-3). Let y = j - -86. Is 9 a factor of y?
False
Let n be (-1)/(-2) - 117/(-6). Suppose 3*x - n = x. Suppose 0 = -5*a - x, 2*a = b + 4*b - 144. Is b a multiple of 14?
True
Suppose -2*j - 5*g + 28 = -85, 5*g - 211 = -4*j. Suppose -9 = 5*o - j. Is 8 a factor of o?
True
Let d = -53 + 357. Suppose -234 = -3*f - 3*r + 2*r, 4*f + 4*r = d. Suppose 2*i - 73 = -5*j, f = 2*j + 3*j - 4*i. Is j a multiple of 14?
False
Suppose -28 + 1 = -3*o. Is 3 a factor of o?
True
Let o(m) = -m**3 + 4*m**2 + 2*m - 2. Suppose 2*n - 3 = 13. Let p = n - 4. Does 3 divide o(p)?
True
Suppose -5*u - 7 - 13 = 0. Let o = u - -7. Is o a multiple of 3?
True
Suppose -y - 2*b + 23 = 2*b, -26 = -y - 5*b. Is 7 a factor of y?
False
Suppose -3*o = 2*q - 225 - 270, 4*o - 656 = -4*q. Does 19 divide o?
False
Suppose 160 = 3*g + 2*g. Suppose 26 = 4*u - 2*c - 20, 3*u - g = 4*c. Is u a multiple of 12?
True
Let i(j) = 31*j**3 - j**2. Let x be (1 + (-33)/15)*5. Let w(f) = f**3 + 7*f**2 + 5*f - 5. Let h be w(x). Is i(h) a multiple of 15?
True
Let l(p) = -p**3 - 11*p**2 - 16*p - 13. Suppose 3*t - 3*q - 1 + 22 = 0, 0 = -3*t - 3*q - 39. Is l(t) a multiple of 23?
False
Let o(w) = 2*w**3 - 2*w + 3. Let f be o(2). Suppose 0 = -5*j + f + 85. Is 5 a factor of j?
True
Suppose 0 = s - 4*g - 101 + 35, 4*g - 402 = -5*s. Is s a multiple of 11?
False
Does 13 divide (-3*3/27)/(2/(-204))?
False
Suppose 0 = 4*b - 31 - 9. Let c(p) = p - 10. Let n be c(b). Suppose n = -2*z + 4*z - 50. Is z a multiple of 11?
False
Suppose -4*u + 23 = 4*t + 351, 3*u - 3*t + 258 = 0. Is 2*(u/(-8))/3 a multiple of 3?
False
Suppose 2*v - 127 - 217 = 0. Is 19 a factor of v?
False
Let w(z) = -z**3 - z**2 + 2*z + 5. Let s be w(4). Let l = s - -96. Is 8 a factor of l?
False
Suppose 0*t = -4*t + 32. Suppose -10 - 12 = -2*b. Let m = b - t. Is m a multiple of 3?
True
Let f(t) = 13*t**2 + t - 1. Is 15 a factor of f(2)?
False
Suppose -3*h - 7 = 47. Let j = h - -31. Does 7 divide j?
False
Let i = -8 + 10. Let k(o) = o + o + i*o**2 - 3*o - 4. Is k(-4) a multiple of 21?
False
Suppose -19*m + 5*m = -952. Does 21 divide m?
False
Suppose -80 = -0*p + p. Let x = 64 - p. Suppose 5*d - 51 = x. Is d a multiple of 13?
True
Suppose -65 = -5*z + 5*j, 4*j + 12 = -0. Let m(v) = 2*v - 10. Let g be m(z). Let f = 13 - g. Is f even?
False
Let x(h) = -h**2 + 10*h - 8. Let d be x(9). Suppose 4*u + 3 = -d. Does 13 divide (1 - 2)*25/u?
False
Let y(j) = j - 5. Let k be y(0). Let w(u) = -u**3 - 3*u**2 + 9*u + 10. Is 8 a factor of w(k)?
False
Suppose -3*r = -117 - 36. Let g = 75 - r. Let k = g + 15. Is k a multiple of 19?
False
Let y(q) = 2*q**2 - 6*q - 2. Let c(j) = 2*j - 1. Let w be c(3). Is y(w) a multiple of 11?
False
Let z be (-108)/30*10/(-4). Suppose -4*w + z = -7. Suppose a = -3*b - 15 + 52, -w*b = 2*a - 46. Does 14 divide b?
True
Let x be 1*166 + 3 + -2. Let q = x + -93. Does 17 divide q?
False
Let t be ((-8)/(-6))/(14/147). Let c = t - -59. Suppose -15 - c = -2*w. Does 15 divide w?
False
Let d be 2*-4 + 1 + 1. Let f be (-4)/d - 18/27. Suppose f = 3*j - 15. Does 5 divide j?
True
Suppose 19*b - 112 = 23*b. Let m be (-219)/(-9)*3*-1. Let v = b - m. Is 17 a factor of v?
False
Suppose 15*a - 12*a - 90 = 0. Does 30 divide a?
True
Suppose 61 + 35 = 2*i. Let r = i + -26. Is -1 + r/(0 - -2) a multiple of 10?
True
Let x = 18 - 6. Suppose -4*k = -k - 9. Let n = k + x. Is n a multiple of 13?
False
Let z(s) = -16*s + 5. Let g be z(-5). Suppose -4*i = i - g. Is 14 a factor of i?
False
Let h(z) = 2 - z**2 - 1 + 3 - z**3. Let f be h(0). Let q(c) = -c**2 + 8*c + 1. Is 17 a factor of q(f)?
True
Let z = -86 - -122. Is 18 a
|
{
"pile_set_name": "DM Mathematics"
}
|
82*n**3 - 109*n*o**4 - 3*n*o**2 + 5097*o**4 wrt o.
36*n**3 - 2616*n*o + 122328*o
Differentiate 376671791*n**3 + 286149008 with respect to n.
1130015373*n**2
What is the second derivative of -3*s*w**2*z**2 + 212623*s*w*z**2 + s*w*z + s*z**2 - 3*s*z - 159*w**3 + 28326*w**2*z + 2*z wrt w?
-6*s*z**2 - 954*w + 56652*z
What is the derivative of -109714170*z**3 + 531077369 wrt z?
-329142510*z**2
What is the first derivative of -4413775*l**4 - 34*l**2 - 253230482 wrt l?
-17655100*l**3 - 68*l
Differentiate -1867344*m**3 + 5330923.
-5602032*m**2
What is the second derivative of 3253*i**3*r**2 - i**3*r + 29*i**3 + 2*i**2 - 92*i - 391*r**2 + r + 15 wrt r?
6506*i**3 - 782
Differentiate -279800166*x**2 - 402941419 wrt x.
-559600332*x
What is the second derivative of -14304827*i**2*o + 3*i*o + 2058*o + 71 wrt i?
-28609654*o
What is the first derivative of -230197*d**2*i**2*j - 648*d**2*i*j + i**2*j + 26665757*j wrt d?
-460394*d*i**2*j - 1296*d*i*j
Find the first derivative of d*l*n - 5345*d*l + d*n**3 - 693*d + 398130*n**2 - 3*n wrt n.
d*l + 3*d*n**2 + 796260*n - 3
What is the derivative of 20240872*j**3*m**2 + 15*j**3 - 498825557*m**2 wrt j?
60722616*j**2*m**2 + 45*j**2
Find the second derivative of -964*w**4 - 731*w**3 - 19*w**2 + 58397*w + 30.
-11568*w**2 - 4386*w - 38
Find the first derivative of 3*t**4 - 13338*t**3 - 2*t**2 - 4*t + 1677847.
12*t**3 - 40014*t**2 - 4*t - 4
Find the third derivative of -698784*a**4*d + 2*a**4 + 127*a**3 - 2*a**2*d + 3*a*d - 26690*a + 2*d - 3 wrt a.
-16770816*a*d + 48*a + 762
What is the second derivative of -2121*g**2*r**3 + g**2*r**2 - 158*g**2 + 4*g*r**2 + 40391*g*r + 5*g + r**3 wrt g?
-4242*r**3 + 2*r**2 - 316
What is the second derivative of 70564790*y**4 - 2*y + 36298090 wrt y?
846777480*y**2
Find the second derivative of -35747385*y**4 - 23565838*y wrt y.
-428968620*y**2
Differentiate k*n*x + 143683*k*n - 174787*k*x - 27*k - 11 wrt x.
k*n - 174787*k
Differentiate -4959152*o**4 - 2854551 with respect to o.
-19836608*o**3
Differentiate 9451*n*r*x - n*r - 209*n*x - 13*n + 2*r*x + 5142*r + 2 with respect to x.
9451*n*r - 209*n + 2*r
What is the derivative of 45946776*x**3 + 17674333 wrt x?
137840328*x**2
What is the third derivative of -612911184*v**5 + 833*v**2 - 25255 wrt v?
-36774671040*v**2
What is the third derivative of 290521152*r**5 + 4835*r**2 - 12*r + 527?
17431269120*r**2
Differentiate -4*d**2*r**2*w - 11365*d**2*r + 18*d**2 - 1706349*d*r**2*w - 3*d*r**2 wrt w.
-4*d**2*r**2 - 1706349*d*r**2
What is the derivative of 3*m**3 - 167745027*m - 895563742?
9*m**2 - 167745027
What is the first derivative of -40738*o**3 - 2*o**2 + 673*o - 673079385?
-122214*o**2 - 4*o + 673
What is the second derivative of 15960058*r**3 + 18344318*r wrt r?
95760348*r
Differentiate -2957563*x**4 - 4677593 with respect to x.
-11830252*x**3
What is the third derivative of 4*g**4 + 11182910*g**3 - 20*g**2 + 465*g - 2101 wrt g?
96*g + 67097460
What is the second derivative of -100680219*d**3*o**2 - 11*d**3*o - d**3 + 17*d*o - 75003*o wrt o?
-201360438*d**3
Differentiate -2*f**2*k - 2403773*f**2*r - 5*k*r + 16334*k - r + 16 wrt f.
-4*f*k - 4807546*f*r
What is the derivative of -3*g**4 - 406180*g**2 - 20*g + 341080087 wrt g?
-12*g**3 - 812360*g - 20
Find the third derivative of -369221*w**2*x**3 - 3*w**2*x**2 - 3*w**2 - w*x**3 + 6*w*x**2 - 3638*w*x wrt x.
-2215326*w**2 - 6*w
What is the second derivative of 191276*k**4*x - 3*k**4 - 30447*k*x + 2*k - 59 wrt k?
2295312*k**2*x - 36*k**2
What is the third derivative of 967032404*q**3 - 783461866*q**2?
5802194424
What is the second derivative of 25261040*o**3 + 9*o + 8231986 wrt o?
151566240*o
Find the second derivative of -147*x**5 + 1788*x**3 - 13*x**2 + 46672099*x.
-2940*x**3 + 10728*x - 26
Find the third derivative of 31518063*j**5*p - 9*j**3*p - 13*j**2 - 3549636*p wrt j.
1891083780*j**2*p - 54*p
What is the first derivative of 43582*d**2 - 115*d + 9588814 wrt d?
87164*d - 115
Find the first derivative of 5310029*v**2 + 20676418 wrt v.
10620058*v
What is the third derivative of 1147990*c**4*t**2 - 5*c**3*t**3 + 2222409*c**2*t**2 + t**3 wrt c?
27551760*c*t**2 - 30*t**3
Find the third derivative of -21226218*a*v**3*w - 20*a*v*w - 28*a*w + 4*a + 3*v**3 - 7*v**2*w - 11*v**2 + 3 wrt v.
-127357308*a*w + 18
Find the second derivative of -292*f**3*j*l**2 - 2*f**3*j*l - 4*f**2*l - 2*f*j**2*l + 9*f*j**2 + 30*f*j - 37881*j**2*l**2 + 841*j**2*l - 2*j wrt l.
-584*f**3*j - 75762*j**2
What is the second derivative of 24307140*q**4 - 42643460*q wrt q?
291685680*q**2
What is the second derivative of 16742422*x**2 - 16097815*x wrt x?
33484844
Find the first derivative of 441708758*t + 780099061 wrt t.
441708758
Differentiate 3116*x**2 + 11350*x + 104531051 wrt x.
6232*x + 11350
What is the third derivative of -36053759*f**3*r**3 + 69915*f**2*r**3 + 156*f*r**3 wrt f?
-216322554*r**3
What is the third derivative of 6802895*p*x**3 + 2*p*x**2 + 2*p*x - 2*p - 491572*x**2 - 3*x + 1 wrt x?
40817370*p
What is the second derivative of 99866829*d**4 - 2996*d + 17768?
1198401948*d**2
Differentiate -10170180*d**2 + 2898380 with respect to d.
-20340360*d
Find the second derivative of 14*c**2*m*u**2 - 3*c**2*m*u - 2*c**2*m - 16721*c**2*u - c*m - 193*c*u**2 - 21*m*u**2 - m + 7*u**2 wrt u.
28*c**2*m - 386*c - 42*m + 14
What is the third derivative of 40905437*f**3 - 11530448*f**2 - f - 2?
245432622
Differentiate 40*o**4 + o**3 + 911253*o - 559127047.
160*o**3 + 3*o**2 + 911253
What is the second derivative of 1359*u**2*z - 44021*u**2 + 95118990*u*z wrt u?
2718*z - 88042
Find the first derivative of -15*o*p**2 + 17*o*p + 19696821*o + 2*p**2 + 55133*p + 2 wrt p.
-30*o*p + 17*o + 4*p + 55133
Find the first derivative of d**3*j**3 + 1666121*d**3*j**2 + 8522277*d**3 wrt j.
3*d**3*j**2 + 3332242*d**3*j
Find the second derivative of 17590023*d*o**2*x + 3*d*o**2 - d*o*x + 13*d*o + 4078*d*x - d + o*x + 11*o - 2 wrt o.
35180046*d*x + 6*d
Differentiate -4*i**3 - 11561522*i - 185586742 with respect to i.
-12*i**2 - 11561522
Find the first derivative of -10*c**3*g + 2*c**3 + 805*c**2*g + 428*c + 118*g - 14336 wrt g.
-10*c**3 + 805*c**2 + 118
What is the second derivative of -370*f*l**2 - 2618*f*l - 980*f + 29215*l**2 wrt l?
-740*f + 58430
Differentiate -51645750*h*i + 99*h - 25340 with respect to i.
-51645750*h
What is the third derivative of 15404064*l**3 - 25231879*l**2 wrt l?
92424384
Find the second derivative of -3*d*h**2*i**2 - 7*d*h**2*i - 986*d*h*i**2 - 17*d*h*i + 4740*h**2*i - 395*h*i**2 wrt i.
-6*d*h**2 - 1972*d*h - 790*h
What is the third derivative of -22290776*y**3 - 2713*y**2 - 2352*y?
-133744656
Find the first derivative of 840619155*m**4 - 175508939 wrt m.
3362476620*m**3
Differentiate -10763*d**3*s**2 + 609*d**3*s - 4970*s**2 + 3789*s with respect to d.
-32289*d**2*s**2 + 1827*d**2*s
What is the second derivative of -4235902*s**4 + 2*s**3 - 24567288*s?
-50830824*s**2 + 12*s
What is the third derivative of 72*c*j**3*p + 2*c*j**2*p**3 + c*j**2 + 3*c*p**2 + 7*c - 1062315*j**3*p**3 - 18*j*p**2 - 2 wrt p?
12*c*j**2 - 6373890*j**3
Differentiate 176133*a**3*b - a**3*w**2 - 48*a**3 - a**2*b*w + 10*a*b - 1254115*w wrt w.
-2*a**3*w - a**2*b - 1254115
What is the second derivative of 156190*a*d**2 - 1225*a*d + 49*a - 361*d**2 - 6*d + 2 wrt d?
312380*a - 722
What is the first derivative of -h*x**2 + 178241310*h + 235000161*x**2 wrt x?
-2*h*x + 470000322*x
What is the third derivative of -2058*k**4 - 41970*k**3 + 7*k**2 - 2111702*k + 7 wrt k?
-49392*k - 251820
What is the second derivative of -701677132*h**2 + 2*h + 549429436 wrt h?
-1403354264
Find the third derivative of 54038153*f**6 + 39142194*f**2.
6484578360*f**3
Find the first derivative of 43224369*s - 128087527.
43224369
What is the third derivative of 489*f**5 + 25837*f**4 - 235319*f**2 - 1237*f wrt f?
29340*f**2 + 620088*f
Find the third derivative of -3889724*g**4*l - 3*g**3*l - g**2*l + 2*g**2 - 12*g*l - 53*g - 1175 wrt g.
-93353376*g*l - 18*l
What is the derivative of -8*j*w**3 + 3*j*w**2 + 24*j*w + 514*j - 16707145*w**3 wrt j?
-8*w**3 + 3*w**2 + 24*w + 514
Differentiate 3*m**4 - 304096*m**3 - 29*m**2 + 416319777 with respect to m.
12*m**3 - 912288*m**2 - 58*m
What is the third derivative of 22058991*v**3 + 51*v**2 - 30501*v - 1?
132353946
What is the third derivati
|
{
"pile_set_name": "DM Mathematics"
}
|
9*d**3 + 28*d**2 + 3 - 52*d - 3 + 20*d**2 - d**4 - 18*d**3.
-d*(d - 2)**2*(d + 13)
Suppose 229 - 229 = 21*i. Let u(r) be the second derivative of 1/90*r**5 + i - 19*r - 5/54*r**4 + 0*r**3 + 0*r**2. Solve u(n) = 0 for n.
0, 5
Let z = 1624 + -1619. Suppose z*m + 3*r = 25, -4*m - 17*r = -20*r + 7. Factor -20/3*b - 100/3 - 1/3*b**m.
-(b + 10)**2/3
Let k = 28116 + -84338/3. Let l(u) be the second derivative of 1/4*u**5 - 9*u + 0 + 5/6*u**4 - k*u**3 - 20*u**2. Let l(a) = 0. What is a?
-2, 2
Let m(v) = 15*v**3 - 1265*v**2 + 15860*v + 16860. Let j(k) = -k**3 + 97*k**2 - 1220*k - 1297. Let n(a) = 40*j(a) + 3*m(a). Find y, given that n(y) = 0.
-26, -1, 10
Suppose -2*l + 7 = -3*v - 64, 0 = 4*l + 4*v - 172. Let 48*m**2 + l*m - 35 - 25*m**2 - 28*m**2 = 0. What is m?
1, 7
Let y(v) be the first derivative of -v**8/8400 - v**7/2100 + v**5/300 + v**4/120 + 4*v**3/3 - 171. Let i(s) be the third derivative of y(s). Factor i(h).
-(h - 1)*(h + 1)**3/5
Determine s, given that 92/9*s**2 + 976/9*s - 376/9*s**3 + 496/9 + 4/3*s**4 = 0.
-1, -2/3, 2, 31
Let x(l) be the second derivative of -3/5*l**5 + 0*l**2 + 48 + 8/3*l**3 + l - 4/3*l**4 + 8/15*l**6 - 2/21*l**7. Suppose x(i) = 0. What is i?
-1, 0, 1, 2
Let l be (3/(-6))/(-22 + (9180/(-140))/(-3)). Determine m so that -1/4*m**3 - l*m**2 - 4 + 31/4*m = 0.
-16, 1
Let j(c) be the first derivative of -4*c**6/5 - 16*c**5/25 + 371*c**4/30 - 818*c**3/45 + 106*c**2/15 - 16*c/15 - 412. What is f in j(f) = 0?
-4, 1/6, 1, 2
Let i(r) = -3*r**3 - 280*r**2 + 1202*r - 4. Let n(b) = 4*b**2 + b - 2. Let j(f) = i(f) - 2*n(f). Factor j(t).
-3*t*(t - 4)*(t + 100)
Let o be (-4 - -4)*6/48. Let k(a) be the second derivative of o + 40*a - 3/10*a**3 - 1/20*a**4 - 3/5*a**2. Factor k(t).
-3*(t + 1)*(t + 2)/5
Let 54 + 12*m**3 + 276*m - 28*m**3 + 86 + 26*m**2 + 106*m**2 + 12*m**3 = 0. Calculate m.
-1, 35
Let y(w) = 18*w - 92. Let m be y(6). Let d be 4*(1 + (-4)/m). Factor 0 - 2/9*x**2 - 2/9*x**d + 0*x.
-2*x**2*(x + 1)/9
Factor 0 - 34/5*l**2 + 117/5*l**3 + 0*l + 7/5*l**4.
l**2*(l + 17)*(7*l - 2)/5
Let v(k) be the second derivative of 0*k**2 + 6 + 1/40*k**5 - 1/6*k**4 - k**3 + 4*k. Factor v(f).
f*(f - 6)*(f + 2)/2
Find f, given that 1/3*f**4 + 4/3*f - 1/3*f**3 - 2*f**2 + 8/3 = 0.
-2, -1, 2
Let r(j) = -22*j - 1. Let h be r(-7). What is f in -h + 10*f**3 + 153 + 15*f**2 + 5*f = 0?
-1, -1/2, 0
Let r(p) be the first derivative of 4*p**5/15 + 94*p**4/3 - 1552*p**3/9 + 784*p**2/3 + 9080. Factor r(v).
4*v*(v - 2)**2*(v + 98)/3
Let n = -560 + 800. Let a be (40/n)/(4/18). Suppose 0 + 1/4*d**4 + 3/4*d**3 + 1/4*d + a*d**2 = 0. Calculate d.
-1, 0
Let u be (6/8)/((-9)/(-36)). Factor 2*v**u + 58*v**2 + v - 64*v**2 - 3*v**3 + 6.
-(v - 1)*(v + 1)*(v + 6)
Let w = -1538660 + 4117454377/2676. Let t = w + 1/446. Factor -t*s**2 - 3/4 + 1/2*s.
-(s - 3)**2/12
Let w(i) be the first derivative of -i**4/12 + 503*i**3/9 + 1012*i**2/3 + 676*i - 3624. Suppose w(q) = 0. What is q?
-2, 507
Determine x, given that -5/2*x**2 - 142805/2 - 845*x = 0.
-169
Let m(c) be the first derivative of 2*c**7/105 - c**6/15 - 7*c**5/15 - 2*c**4/3 - 5*c**2 + 4*c + 33. Let a(d) be the second derivative of m(d). Factor a(q).
4*q*(q - 4)*(q + 1)**2
Let q(c) be the first derivative of -6*c**2 + 73 + 108*c + 1/9*c**3. What is d in q(d) = 0?
18
Let s(x) be the third derivative of x**9/22680 + x**8/840 + x**7/189 - 169*x**4/12 - 126*x**2. Let c(g) be the second derivative of s(g). Factor c(d).
2*d**2*(d + 2)*(d + 10)/3
Let k(i) = 21*i**3 + 11*i**2 + 6. Let r(b) = -20*b**3 - 10*b**2 - 5. Suppose -9 = 5*w - 134. Suppose -6*f - 11 = w. Let u(m) = f*r(m) - 5*k(m). Factor u(d).
5*d**2*(3*d + 1)
Suppose 3*b - 35 = -4*j, -3*j - 3*b - 5 + 35 = 0. Solve -4509 - j*u**2 - 4570 + 500*u - 3421 = 0 for u.
50
Let v(t) be the first derivative of 5*t**3/3 - 105*t**2 + 1080*t + 1854. Factor v(y).
5*(y - 36)*(y - 6)
Factor -62*y**2 - 62*y**2 + 128*y + 121*y**2 + 53*y.
-y*(3*y - 181)
Suppose 8*f + 2*y + 16 = -3*y, 2*f + 34 = -5*y. Let j(b) be the second derivative of 0 - 1/27*b**f + 1/54*b**4 + 10*b - 2/3*b**2. Factor j(k).
2*(k - 3)*(k + 2)/9
Let d(o) be the second derivative of -o**4/84 - 13*o**3/21 - 12*o**2 + 741*o. What is y in d(y) = 0?
-14, -12
Let u(y) = 2*y**2 - 11*y + 16. Let d be u(4). Solve 88*x**2 + 82*x**3 - 70*x**3 - 2*x**4 - 17*x**d - 4*x**5 + 3*x**4 - 96 + 16*x = 0 for x.
-3, -2, 1, 2
Let c(a) = -3*a**3 - 6*a**2 + a. Let v(w) = 0*w**3 + w + 0*w**3 + 5*w**3 - 4*w**2 - 7*w**3. Let l(m) = 3*c(m) - 4*v(m). Determine r, given that l(r) = 0.
-1, 0
Factor 216/5 - 48*x + 22/5*x**2 + 2/5*x**3.
2*(x - 6)*(x - 1)*(x + 18)/5
Suppose -5*o + 3*a + 9 = 0, -245*o - 7 = -248*o + a. Let g(u) be the second derivative of 1/3*u**4 + 4*u**2 + 2*u**o + 0 - 10*u. Solve g(c) = 0 for c.
-2, -1
Factor -1944/11*s - 472392/11 - 2/11*s**2.
-2*(s + 486)**2/11
Let x = 29561 - 29561. What is r in 52/7*r**2 + 2/7*r**3 + x + 338/7*r = 0?
-13, 0
Suppose 0*s + 8*s - 120 = 0. Suppose 0 = -2*w - w + s. What is n in 3*n**3 - n**4 - n**w - n**4 + 9*n**4 - 5*n**4 = 0?
-1, 0, 3
Let f = 23 - 20. Let n(m) be the first derivative of 0*m**5 - 1/4*m**6 + 0*m + 9/8*m**4 + 0*m**2 + 17 + m**f. Let n(k) = 0. Calculate k.
-1, 0, 2
Let b(l) be the first derivative of l**6/30 - l**5/25 - l**4/4 + l**3/15 + 4*l**2/5 + 4*l/5 - 2288. Suppose b(w) = 0. Calculate w.
-1, 2
Let h(r) be the first derivative of r**4/10 - 228*r**3/5 + 28896*r**2/5 + 118336*r/5 + 2145. Factor h(p).
2*(p - 172)**2*(p + 2)/5
Solve 960*o**2 - 375 + 48*o**3 - 2434*o**2 - 3*o**4 + 600*o + 1204*o**2 = 0.
1, 5
Suppose 2*h - 4 = 4*v, -2*h = -5*v + 17 - 21. Factor 16*c**4 + 395 + c**h - 20*c**3 - 395 + 3*c**2.
4*c**2*(c - 1)*(4*c - 1)
Let o = -2272355/4 - -568089. Let -147 + 613/4*p**2 + 111/4*p**3 + o*p**5 - 25/4*p**4 - 28*p = 0. Calculate p.
-3, -1, 1, 14
Suppose -12308 = -45*b - 12083. Let j(x) be the second derivative of 9/20*x**b - 1/2*x**4 + 2 + 0*x**2 - 12*x - 1/10*x**6 + 0*x**3. Find f such that j(f) = 0.
0, 1, 2
Let n(o) be the first derivative of -2*o**3/33 + 168*o**2/11 - 90*o - 12129. Suppose n(f) = 0. Calculate f.
3, 165
Let v = 253/1578 - -5/789. Let t(q) be the third derivative of v*q**4 - 1/60*q**5 + 0 + 10*q**2 + 0*q**3 + 0*q. Factor t(o).
-o*(o - 4)
Let 358/5*r**4 + 140*r**3 + 2/5*r**5 + 1062/5 - 284*r**2 - 702/5*r = 0. Calculate r.
-177, -3, -1, 1
Let l(n) be the first derivative of -9/20*n**5 + 0*n**2 + 30*n - 17 + n**4 + 2*n**3. Let o(j) be the first derivative of l(j). Factor o(k).
-3*k*(k - 2)*(3*k + 2)
Let v(m) be the second derivative of -m**5/100 - 43*m**4/60 + 89*m**3/30 - 9*m**2/2 + 1439*m. Factor v(h).
-(h - 1)**2*(h + 45)/5
Let i = 413 - 414. Let p(t) = 3*t**3 + 6*t**2 - 11*t + 2. Let q(c) = 2*c - 2. Let m(u) = i*p(u) - 4*q(u). Find g, given that m(g) = 0.
-2, -1, 1
Find f such that 10/7*f - 13/7*f**2 + 5/7*f**4 + 0 + 1/7*f**5 - 3/7*f**3 = 0.
-5, -2, 0, 1
Let f = 849946/147 + -5782. Let x = 3488/735 - f. Factor 0 - 2/5*s - x*s**2 - 72/5*s**3.
-2*s*(6*s + 1)**2/5
Let f(w) be the second derivative of -168*w**2 - 7*w + 170/3*w**3 - 1/3*w**4 - 8. Factor f(r).
-4*(r - 84)*(r - 1)
Let z(r) be the third derivative of 3/40*r**6 - 1/60*r**7 - 1/6*r**5 + 1/6*r**4 + 0*r**3 + 1/672*r**8 + 0 + 15*r**2 + 2*r. Let z(d) = 0. What is d?
0, 1, 2
Let y = 104640 - 418557/4. Find k such that 69/4 - y*k**3 + 75/4*k**2 - 141/4*k = 0.
1, 23
Let -19043/3*d**2 - 1/3*d**4 + 92*d + 6348 - 92*d**3 = 0. What is d?
-138, -1, 1
Let n(l) be the third derivative of -5*l**6/12 + 47*l**5/6 + 106*l**4/3 + 176*l**3/3 - l**2 - 309. Determine i so that n(i) = 0.
-4/5, 11
Let w(c) be the second derivative of 2*c**6/15 - 143*c**5/20 + 101*c**4/12 + 143*c**3/6 - 105*c**2/2 + c - 398. What is x in w(x) = 0?
-1, 3/4, 1, 35
Let m = 11409 - 11404. Let c(n) be the first derivative of -2/27*n**3 - 1/9*n**2 + m - 2/15*n**5 + 5/18*n**4 + 0*n. Factor c(y).
-2*y*(y - 1)**2*(3*y + 1)/9
Factor -17/3*c - 52/3 - 1/3*c**2.
-(c + 4)*(c + 13)/3
Let a(o) = -35*o**3 - 846*o**2 - 3276*o - 3274. Let u(v) = 75*v**3 + 1693*v**2 + 6548*v + 6547. Let y(t) = -13*a(t) - 6*u(t). Solve y(n) = 0.
-164, -2
Let x = -280633/60 + 70177/15. Factor x*q - q**2 - 1/2 + 1/4*q**3.
(q - 2)*(q - 1)**2/4
Let i(y) be the first derivative of y**6/36 - 4*y**5/15 + 17*y**4/24 - 5*y**3/9 + 559. Let i(b) = 0. What is b?
0, 1, 2, 5
Let y(h) = -6*h + 2. Le
|
{
"pile_set_name": "DM Mathematics"
}
|
w(u).
2*u*(u + 1)*(u + 2)
Let t be 2*(-4)/24*0. Suppose t = 8*o - 10*o. Suppose -5*l**2 + o*l + 9*l**2 - 3*l = 0. What is l?
0, 3/4
Let u(r) be the second derivative of r**6/25 - 7*r**5/50 + r**4/10 + r**3/5 - 2*r**2/5 + 2*r + 36. Solve u(m) = 0 for m.
-2/3, 1
Let r be (-19)/(57/(-18)) + (-3 - -1). Factor 2*j**5 + 5*j**4 + 16*j**2 + 0*j**r + 8*j**4 + 24*j**3 - j**4.
2*j**2*(j + 2)**3
Let c(n) be the second derivative of -n**5/100 + 7*n**4/12 - 247*n**3/30 - 1083*n**2/10 - n + 66. Factor c(j).
-(j - 19)**2*(j + 3)/5
Let c(n) be the first derivative of -21*n**6/8 + 19*n**5/4 + 279*n**4/16 + 11*n**3/4 - 19*n**2/2 + 3*n + 56. Solve c(d) = 0 for d.
-1, 2/9, 2/7, 3
Let a(v) be the third derivative of -v**8/112 + 2*v**7/35 + 21*v**6/40 + v**5/5 - 7*v**4/2 + 665*v**2. Find o, given that a(o) = 0.
-2, 0, 1, 7
Let q = -12169 - -36511/3. Factor 0 - 2/3*i**2 - q*i.
-2*i*(i + 2)/3
Let f(d) be the first derivative of -1/25*d**5 + 1/15*d**3 + 0*d - 1 - 1/20*d**4 + 1/30*d**6 + 0*d**2. Factor f(w).
w**2*(w - 1)**2*(w + 1)/5
Solve 4*z**5 + 14*z**3 + 446*z - 16*z**4 - 2*z**3 - 446*z = 0.
0, 1, 3
Let i(y) be the first derivative of -y**4/4 - 5*y**3 - 297. Factor i(r).
-r**2*(r + 15)
Let s(l) be the second derivative of -5*l + 49/2*l**2 - 2 - 7/3*l**3 + 1/12*l**4. Factor s(o).
(o - 7)**2
Let b = -54 - -164/3. Let h be (-41)/((-1148)/16)*(-14)/(-12). Find a such that h*a**2 + 0*a - b = 0.
-1, 1
Let f = -14 - -18. Suppose -5*p + 35 = 4*b, f*b = 9*b - 5*p - 10. Factor 0*v**5 + 2*v**5 + b*v**5 - 4*v**5 - 6*v**3 + 3*v.
3*v*(v - 1)**2*(v + 1)**2
Suppose 0*m = 5*m - 210. Let l = -37 + m. Determine o, given that 0*o + 0*o**2 + 0*o**4 + 0 - 1/2*o**3 + 1/2*o**l = 0.
-1, 0, 1
Let w(f) be the first derivative of -f**7/420 - 11*f**6/900 - 7*f**5/300 - f**4/60 - 10*f**3 - 15. Let k(y) be the third derivative of w(y). Factor k(q).
-2*(q + 1)**2*(5*q + 1)/5
Let p(g) be the third derivative of g**8/6720 - g**6/240 + 43*g**5/60 + 48*g**2. Let w(u) be the third derivative of p(u). Factor w(c).
3*(c - 1)*(c + 1)
Let j be 5/(-15)*(1 + -1). Let a(i) be the first derivative of -1/4*i + 3 + j*i**2 + 1/12*i**3. Factor a(p).
(p - 1)*(p + 1)/4
Let y(l) be the third derivative of l**7/315 - 11*l**6/180 - 2*l**5/15 - 15*l**2 - 2*l. Factor y(x).
2*x**2*(x - 12)*(x + 1)/3
Let b(k) = 16*k**2 - 49*k + 89. Let u(t) = -23*t**2 + 74*t - 133. Let w(x) = -7*b(x) - 5*u(x). Factor w(y).
3*(y - 7)*(y - 2)
Let a = -894 - -894. Let n(p) be the third derivative of a + 1/280*p**6 + 0*p + 0*p**3 - 1/28*p**4 - 7*p**2 - 1/140*p**5. Factor n(t).
3*t*(t - 2)*(t + 1)/7
Let v(i) be the first derivative of 28*i**3/3 - 176*i**2 + 7744*i/7 + 224. Factor v(h).
4*(7*h - 44)**2/7
Let c(b) = -3*b**4 + 6*b**3 + 15*b**2 + 15*b + 3. Let a(n) = n**3 + 2*n + 1. Let h(d) = 3*a(d) - c(d). Factor h(i).
3*i*(i - 3)*(i + 1)**2
Let o = -59240/3 + 19748. Factor -o*c**2 + 16/3 + 8/3*c - 2/3*c**3.
-2*(c - 2)*(c + 2)**2/3
Factor 54*u + 59197*u**2 - 14*u**3 + 110*u - 59411*u**2 + 64.
-2*(u - 1)*(u + 16)*(7*u + 2)
Factor 34/3*l - 12 - 2/9*l**3 + 8/9*l**2.
-2*(l - 9)*(l - 1)*(l + 6)/9
Suppose 0*d + d = 0. Suppose -5*s + 56 + 4 = d. What is l in -3*l**4 + 12 - 9*l**2 - s - 9*l**3 - 3*l = 0?
-1, 0
Suppose 4*p - 2*q = 300, -q + 68 = p - 7. Let k be 5/(p/(-12)) + (-122)/(-65). Factor k*z**2 - 4/13 + 10/13*z.
2*(z + 1)*(7*z - 2)/13
Let x(y) be the first derivative of y**5/5 - 9*y**4/4 - 11*y**3 - 35*y**2/2 - 12*y + 124. Find r such that x(r) = 0.
-1, 12
Let o(m) be the second derivative of -9/16*m**3 - 7 - m + 3/2*m**2 + 1/32*m**4. Factor o(c).
3*(c - 8)*(c - 1)/8
Let c be (3 + 55/(-20))*0. Let y(l) be the third derivative of 1/660*l**6 + 1/330*l**5 + 0*l**3 + 0*l**4 + c*l - 3*l**2 + 0. Factor y(x).
2*x**2*(x + 1)/11
Let x(g) = 2*g**3 + 11*g**2 + 4*g - 2. Let d be x(-5). Let l(h) be the first derivative of -1/3*h**d + 4 - h**2 - h. Factor l(u).
-(u + 1)**2
Let x(t) be the third derivative of -t**8/20160 + t**7/5040 + 4*t**5/15 - 8*t**2. Let d(r) be the third derivative of x(r). Factor d(y).
-y*(y - 1)
Let p(j) = 219*j + 6791. Let n be p(-31). Let -30/7*q + 0 + 3/7*q**n = 0. What is q?
0, 10
Let h be 9 - 10/(-9 + 4). Suppose h - 9 = t. Factor 10*l - 10*l + t*l**3 + 3*l**2 - 1.
(l + 1)**2*(2*l - 1)
Suppose -3*t = -3*j + 87, -2*j + t + 46 = -16. Determine c so that 13*c**5 - 3*c**5 + 15*c**4 - 38*c**2 + j*c**2 = 0.
-1, 0, 1/2
Let r(q) be the first derivative of -2*q**6/3 - 132*q**5/5 - 336*q**4 - 3920*q**3/3 - 43. Let r(a) = 0. What is a?
-14, -5, 0
Let y(l) = -2*l**2 + 15*l - 5. Let i = -11 + 18. Let n be y(i). Factor -2*b**2 + 5*b**4 - b**2 - n*b**4 - 3*b**5 + 3*b**3.
-3*b**2*(b - 1)**2*(b + 1)
Let f = -185 + 192. Let d(v) be the second derivative of -v**3 - 4*v + 3/4*v**4 + 0 - 3/10*v**6 + 0*v**2 + 3/20*v**5 + 1/14*v**f. Find b, given that d(b) = 0.
-1, 0, 1, 2
Let d = 83 - 80. Let y(s) be the third derivative of 0*s + 4/15*s**d - 3*s**2 + 0 + 1/30*s**5 - 1/300*s**6 - 2/15*s**4. Factor y(m).
-2*(m - 2)**2*(m - 1)/5
Let m be (-12)/(-76) + 874/3610. Factor -3/10*u**2 - 1/5*u**3 + m*u + 1/10*u**4 + 2/5.
(u - 2)**2*(u + 1)**2/10
Let k(t) = t**4 + t**2 - 6*t - 2. Let c(p) = -4*p**4 + p**3 - 3*p**2 + 20*p + 7. Let u(q) = 2*c(q) + 7*k(q). Let u(j) = 0. Calculate j.
-1, 0, 1, 2
Let 14/23*j**3 + 2/23*j**2 - 12/23*j - 2/23*j**4 - 2/23*j**5 + 0 = 0. Calculate j.
-3, -1, 0, 1, 2
Find a such that -2/3*a**4 + 124/3*a - 16/3*a**3 + 14/3*a**2 + 32 = 0.
-8, -2, -1, 3
Let r(c) be the first derivative of 3*c**4/16 + 2*c**3 + 15*c**2/2 + 12*c - 39. Factor r(i).
3*(i + 2)**2*(i + 4)/4
Let x(d) be the third derivative of d**8/336 - d**7/105 - 11*d**6/120 + 2*d**5/3 - 11*d**4/6 + 8*d**3/3 - 2*d**2 + 29*d. Factor x(p).
(p - 2)**2*(p - 1)**2*(p + 4)
Factor -5/4*p**2 + 95/4*p + 25.
-5*(p - 20)*(p + 1)/4
Factor -351/5 + 3/5*a**2 - 108/5*a.
3*(a - 39)*(a + 3)/5
Suppose 43*h - 14*h - 116 = 0. Let c(i) be the second derivative of 0*i**3 + 3*i + 0 + 1/12*i**h - 1/20*i**5 + 0*i**2. Factor c(l).
-l**2*(l - 1)
Let f be (105/(-30))/((-2)/4). Let u(g) be the third derivative of 0 + 0*g + 3*g**2 - 1/40*g**5 + 1/6*g**3 - 1/240*g**6 + 1/420*g**f + 1/48*g**4. Factor u(o).
(o - 2)*(o - 1)*(o + 1)**2/2
Let z = 60 + -123. Let p = z + 65. Factor -1/4*l**p - 1/2*l - 1/4.
-(l + 1)**2/4
Let z(j) be the third derivative of 0 - 1/945*j**7 + 1/108*j**6 + 0*j**4 + 0*j**3 + 0*j - 2/135*j**5 + 11*j**2. Factor z(g).
-2*g**2*(g - 4)*(g - 1)/9
Factor 16*i**4 + 79*i + 64*i**3 + 5 + i**5 + 3476*i**2 - 3370*i**2 + 17.
(i + 1)**3*(i + 2)*(i + 11)
Let n(l) be the third derivative of -l**8/3360 + l**7/2520 + l**6/360 - l**5/120 - 11*l**4/24 - 16*l**2. Let g(z) be the second derivative of n(z). Factor g(a).
-(a - 1)*(a + 1)*(2*a - 1)
Let r(s) be the second derivative of -7*s**5/180 - 43*s**4/108 - 31*s**3/27 - 4*s**2/9 - 281*s. Solve r(q) = 0.
-4, -2, -1/7
Let p(d) be the first derivative of 9 - 1/9*d**3 + 0*d + 1/3*d**2. Let p(x) = 0. What is x?
0, 2
Let u be (-24)/15*(-1)/4. Let p = 10660 - 53299/5. Factor -4/5*d**2 + d + p*d**3 - u.
(d - 2)*(d - 1)**2/5
Suppose 0 = 5*q - 15, 4*p = -3*q + 41. Suppose -p*f + 20 = -12. Factor 0 - 3/2*w**3 + 3/2*w**5 + 3/2*w**2 - 3/2*w**f + 0*w.
3*w**2*(w - 1)**2*(w + 1)/2
Let o(d) be the first derivative of -4*d**4/5 + 49*d**3/15 - 7*d**2/2 + 2*d/5 - 35. Factor o(q).
-(q - 2)*(q - 1)*(16*q - 1)/5
Let y(q) = 2*q**3 - 27*q**2 - 240*q - 729. Let k(f) = 62*f**2 - 3*f**3 + 318 + 1140 - 8*f**2 + 481*f. Let g(h) = 3*k(h) + 5*y(h). Factor g(w).
(w + 9)**3
Let k(z) be the second derivative of 5*z**7/168 + z**6/12 - 5*z**4/24 - 5*z**3/24 - z - 3. Determine s, given that k(s) = 0.
-1, 0, 1
Let n(h) be the first derivative of -25 + 8*h**2 - 32/3*h**3 + 5*h**4 - 4/5*h**5 + 0*h. Factor n(w).
-4*w*(w - 2)**2*(w - 1)
Let j(w) be the third derivative of w**5/5 - 17*w**4/6 + 16*w**3 + 210*w**2. Solve j(x) = 0 for x.
8/3, 3
Let u = 16 + -26. Let i be 2/10 + (-28)/u. Factor -2 + 7 + 3*p**4 - 8 + 6*p - 6*p**i.
3*(p - 1)**3*(p + 1)
Let i(t) be the first derivative of -2*t**3/3 + 2*t + 28. Factor i(u).
-2*(u - 1)*(u + 1)
Factor 6/11*v**3 - 2/11*v**5 + 0*v**4 + 4/11*v**2 + 0 + 0*v.
-2*v**2*(v - 2)*(v + 1)**2/11
Suppose 5*t + 4*a - 34 = 0, -12 = 24*a - 26*a. Find o such that 0 - 1/4*o**3 + 1/4*o + 1/4*o**t - 1/4*o**4 = 0.
-1, 0, 1
Let o(s) be the first derivative of -s**5/15 + s**4/12 + 42. F
|
{
"pile_set_name": "DM Mathematics"
}
|
(-4)/(-5*(-37 - 14333/(-385)))?
7/2
(-207)/2*(-172)/(-10062)*-13
23
What is the value of (-36740)/2376*4 + 62?
4/27
What is the value of ((-6 + 666/117)*94/470)/1?
-4/65
Evaluate ((-222)/(-10))/((-315)/(60/(-4)) + 558/(-30)).
37/4
(((-69)/(-552))/((-1)/(-4)))/(15/(-4) + 3)
-2/3
What is ((-11153)/7631)/(2/(-26))?
19
What is (-109 + (-7107)/(-69))/20?
-3/10
Calculate 4757/58 - (-3398 + 3480).
1/58
Calculate 47971/(-409934)*24/66.
-2/47
Calculate ((-17944)/272 - 8) + 615/(-20910).
-74
Calculate (44 - (-254064)/(-2291)) + 67.
3/29
What is (236/(-16166) - 14399/(-959))*(-1)/33?
-5/11
What is (-68)/(-160)*8*(-1 - -2)?
17/5
Calculate 230/(-69)*(-12)/32.
5/4
What is (-3 + 5/2)/(-11 - 4232/(-384))?
-24
What is (-2)/59 + 4800432/(-300664)?
-16
Calculate ((1*-8)/(110/(-15)))/((-1172)/6446).
-6
What is ((-30)/(-20))/((51/(-20))/(38 - (-4584)/(-120)))?
2/17
What is 7540/(-80) - (108/360)/((96/(-10))/8)?
-94
What is the value of ((-25)/(-50))/(4/30 + 99/(-792))?
60
What is ((-32)/20)/(59 - 231392/3920)?
56
What is the value of (2 - (-168)/(-90)) + -11 + (-84101)/(-7770)?
-3/70
Calculate 2/(-4)*(-11130)/7791*(-2 - (-5)/1).
15/7
What is the value of 240/(-192)*(-328)/5945?
2/29
What is (572/715 - 54/55) + -4 + 2252/44?
47
What is the value of (-4 - 100/(-24))*9/8*54/324?
1/32
What is the value of ((-2)/6 - 1219/483)*-14?
40
What is the value of (-6)/168*4 + (-3180)/84 + -15?
-53
Evaluate -44 + 0/(-26) - (-12190)/115.
62
What is 25*(-532)/(-5700)*108/7?
36
What is the value of (-120)/30 + (-1)/4 + (-2035)/148?
-18
What is the value of (-56)/((-3416)/(-1769)) + 76?
47
What is the value of 6/(-5) + (-1656)/18400*1520?
-138
(-24 - -38) + 70 + -26
58
((-2)/((-24)/28))/((-26896)/672 - -40)
-98
What is the value of 40/(-180)*(-630)/(-20) + (2 - (-46 - -1))?
40
What is the value of (((-6624)/(-1890))/(-46))/((-1144)/154)?
2/195
Calculate 1/(-29)*(6/5)/(42*(-14)/(-980)).
-2/29
What is (-203 - -220 - (-374)/(-20))*5/3?
-17/6
Calculate (-6 - -108 - (8 - 0)) + (0 - 4).
90
What is the value of (24/(-504)*-14 - 32/(-6))/((-157)/314)?
-12
((-375)/600)/(41/1640)
-25
What is (4/((-12)/(-5)))/(-6 + 3450/621)?
-15/4
What is 5 + (67735/(-124))/95?
-3/4
-20 - (-37)/(1147/1612)
32
Calculate ((-144)/8)/(189/546).
-52
What is the value of ((90/9)/(-30)*312/10)/((-198)/45)?
26/11
(10887/399 + -29)*28/45
-16/15
-9*(18/(-18) - 6/(432/440))
64
Evaluate -53 + (-132)/418*-19 - -169.
122
What is 14*-1 - 22/66*(-1)/3*9?
-13
What is the value of 25/(-11)*(-9)/(-2)*76*(-50)/(-21375)?
-20/11
What is the value of 27/126*(0 + (-84)/(-36))*98?
49
(-52 + -8 + 53)*(-1 + 20/(-42))
31/3
67/(1742/(-520)) + 317/16
-3/16
Evaluate (18 - 20)/(7426/316).
-4/47
Evaluate 2862/(-490) + (-8816)/(-215992).
-29/5
Calculate (4/(-30))/((-6501)/(-165) + -33).
-1/48
Calculate ((10/(-20))/(2/(-3))*46)/(1022/2044).
69
Calculate (-51)/((-234090)/546) - (-6)/(-54).
2/255
What is ((-9)/6*(-8)/78)/(2/13)*-43?
-43
What is (-166562)/904*(-164)/451?
67
What is 6/(-40) + 315/21000*-2590?
-39
Calculate ((-7014)/668 - 3/2) + (-164)/4.
-53
Calculate (1110/616 - (-255)/(-119))*4/10.
-3/22
Evaluate (-2)/((-16)/2)*88/143 - (-94416)/1456.
65
Evaluate 10994/(-184) + 574/328.
-58
Evaluate 1 + -72 + 6/10*(-18040)/1353.
-79
((-9)/14)/((-8982)/3493) - (-642)/(-8)
-80
What is (-2006)/6*(-36222)/205258?
59
Calculate (75/12 - 836/(-304))*-5.
-45
100 - (-711 - -828)*(-1)/(-3)
61
Evaluate 448/(-12)*-9*(-16)/(-168) - 20.
12
(42/(-441))/(3/243) - 6/21
-8
-113*(-26)/147 - (-2025 + 2045)
-2/147
Calculate (-5)/(-9 - -44) - -1*16700/1750.
47/5
What is the value of ((-64)/(-5))/(680/(-425))?
-8
What is the value of 690486/8007 + (-12)/102*2?
86
Calculate ((-31)/(-4030))/(7/140).
2/13
Calculate ((-21)/1584*-8)/((-1400)/400).
-1/33
Calculate ((11223/86)/(-87))/(1/(-42) + 0).
63
Calculate 55/(-8) + (20 - 4553/232) - 2/4.
-7
Evaluate 5/(-2) - ((-3381)/98 - -7).
25
Calculate ((-7960)/(-480))/(-199)*(-1 + 11/5)*-10.
1
(14/10)/((-7242)/(-6035))*(-8)/(-126)
2/27
What is 5 + 73034/(-1166) + 58?
4/11
14/(42/9) + (2 - -4)/(10/(-95))
-54
(-27 + 20 - -28)/((-6)/4)
-14
What is the value of 8880/(-432) + 22 + -1?
4/9
Evaluate 18*(8 + -1 + (-109372)/(-18204) + -13).
6/41
What is (2/93)/((((-67)/2)/(-67))/((-9)/2))?
-6/31
What is the value of (-21)/42 - 3/2 - 2272/(-75 + 59)?
140
What is (4161/798 + (-85)/(-34))*(-14)/(-2)?
54
Calculate (180/1170 + 50/13)*34/(-357).
-8/21
What is (5/(-10)*-33)/((-609)/(-406))?
11
What is the value of 1285 + -1287 + (185/(-10))/(19/(-2))?
-1/19
What is ((-3)/3*5)/(18480/672)?
-2/11
Evaluate 16 + (-344)/(-10) + 29/(870/48).
52
Calculate (-2 + 5)*(3/10 + 15048/(-2160)).
-20
What is (118 + (-24990)/210)*(-47 + 0)?
47
((16929/231)/57)/((-4)/10 + (-52)/(-80))
36/7
Calculate (-43328)/(-276216)*2/(-8).
-2/51
What is the value of -37 + (-12)/(2496/(-6604))?
-21/4
(-434)/2387 + (((-884)/22)/(-1) - -2)
42
What is (10/15)/(-7 + (-38)/(-6)) + -18?
-19
-98*83/(-178948) - 5415/66
-82
(-8)/(-44) - 532/1232 - (5 - (-58)/(-8))
2
What is (-35)/7*7*(-41)/(3731/26)?
10
Evaluate (-22)/((-301)/(266084/136)).
143
Calculate (-1 - 5/6)/(42/(-30240)*-60).
-22
What is (((-8)/10)/(94/(-235)))/(3 + (-575)/190)?
-76
Evaluate (-17 - -12) + 333/(-9).
-42
What is the value of (-2)/(-1062)*-254 - (-40 - (13818/(-378) + -3))?
-2/59
What is 15*(-2)/(-10) - (-4 - (-2 + (-10)/(-2)))?
10
What is the value of (-40 - (-45360)/1540)/((-8)/44)?
58
Evaluate (18/(-550))/(120/16*(-132)/825).
3/110
What is the value of 48/12 + 294/(-75) + (-12078)/(-34650)?
3/7
Calculate ((-4)/(-22))/(3458/21945 + 1/(-15)).
2
Evaluate -1 - 9/(-7) - (-22 - -280*690/(-2254)).
108
What is the value of (27 - 26)/((0 + -11)/(-121)*(-1)/(-11))?
121
Calculate (((-9)/28)/(-3))/(2298/(-18384)).
-6/7
Evaluate (53 - -2)/((134/(-804))/((-2)/(-12))).
-55
What is the value of (21/(1785/(-1394)))/(261/45 - 5)?
-41/2
What is the value of (-216 - -211)*380/100?
-19
Evaluate -2*(-48)/(-30)*((-2)/(-6))/(20/900).
-48
What is the value of (9 + -25 + 15)/(3/93)?
-31
((32 - 41) + 27)*36/8
81
What is (-1017)/72 - 1098/(-976)?
-13
4/11 - 22*76/4598
0
What is the value of -55 + 47 + (-297)/21 - (-22 - 0)?
-1/7
Calculate ((-1)/2)/(21/(-90)*17775/(-315)).
-3/79
Evaluate ((140/(-105))/((-8)/(-12)) - -1) + 3 + 42.
44
What is the value of ((-1378)/4293 - (-14)/63)*(-9)/(-6)?
-4/27
Evaluate 28 - 846/63 - ((-17)/7 + 2).
15
60/(27 - 17) - (693/44 + -9)
-3/4
What is (-9 - -23) + 24024/(-1729)?
2/19
Calculate 509466/(-3597) + 286/(-121).
-144
Evaluate 4342/(-78) + 57 + 3/((-6)/(-10)).
19/3
Evaluate 96/(-456) + (-32248)/(-2641).
12
Calculate -68 + -40 + (-969)/(-9).
-1/3
Calculate (-106)/(-130) - (-4 - 3 - (-5040)/700).
8/13
What is the value of (15 + ((-142)/(-213))/((-10)/228))*(-12)/(-9)?
-4/15
3586/726*11/(44/12) - 15
-2/11
Calculate 114*85/51680 + 11/48.
5/12
1360/(-816)*(-558)/(-250)*10/6
-31/5
((-11440)/154 + 76)/((-2)/(-154)*3)
44
What is 15276/300 - 10251/201?
-2/25
(-572)/(-3 - -29) - -15
-7
Evaluate -2*(-11 + (-2568)/(-240))*10/(-618).
-1/103
8904/(-6784)*(-16)/14 - 55/26
-8/13
Evaluate (72/88)/((-475)/(-26125)).
45
Calculate -1028*(-5)/(-2325) - 3487/(-1585).
-1/93
Evaluate 44*40/(-256)*-4*(-7 + (-99)/(-15)).
-11
What is (115 - -57)/43*-5?
-20
Calculate -255 - -85 - -165 - (-206)/(-2).
-108
Calculate (-8 + 186/18)/(9*(-5)/15).
-7/9
What is (-255)/24*(-496)/620*-6?
-51
(-2 + -4 + 5)*6723/5229
-9/7
((2 - 33) + 36 - (-24)/3) + -11
2
Calculate 25*((-8)/(-25) + (-454)/(-5675)) - -20.
30
Calculate (-100)/(20/(-5))*308/(-770).
-10
((-646)/11305 - 138/(-2660))/((-5 - -16)/66)
-3/95
Evaluate -12*(-550)/264 + (-15 - (-20)/5).
14
Evaluate (11 - 254/4)*(-27)/(-126)*-4.
45
Evaluate (7/56)/(2*(-25)/(-90)*-3).
-3/40
Calculate (-2)/(-542*2/(-156) - (196 - 189)).
39
Evaluate 4*((-1710)/400)/(-57).
3/10
What is the value of (237177/2793 + -85)*7/(-10)?
2/35
What is the value of 96/8 - (-73)/((-1679)/(-138))?
18
What is the value of 853662/48725 - -1*(-17 - 3/3)?
-12/25
(81/(121905/(-56)))/((-64)/(-80))
-2/43
Calculate (-59204)/(-57760) + (-48)/(-30) + 0.
21/8
What is (((-1)/20*5)/3)/((-7)/(-35)*-5)?
1/12
What is (78/81)/(((-9)/36*2)/(-3))?
52/9
Calculate (-6)/2 - (5580/(-1488))/(6/16).
7
Evaluate (-2)/((3166 - 3165) + -15*1/14).
28
(4/15)/(122 + -123 + (0 - 3))
-1/15
Calculate ((-13 - 16244/93) + -14)*(-36)/66.
110
What is 8/12 + 100
|
{
"pile_set_name": "DM Mathematics"
}
|
*10
Simplify (f*f/(f**(-2/7)/f))/(f*f/(f**(-3)/f)*f*f)*(f/(f**(-1)/f))/(f**2*f) assuming f is positive.
f**(-33/7)
Simplify c*c**(9/5)*c**(2/7) assuming c is positive.
c**(108/35)
Simplify (d**(-2/17)*d/d**(-3/4))**(2/109) assuming d is positive.
d**(111/3706)
Simplify c**(2/5)*c/(c**(-12)*c) assuming c is positive.
c**(62/5)
Simplify ((x/x**(-7))/x**(-5/3))/(x**(-2)/(x**(-1/5)*x)) assuming x is positive.
x**(187/15)
Simplify ((a**6/a)/(a/a**0*a))**23 assuming a is positive.
a**69
Simplify ((r/r**(-1))/(r**3/r))/(r**(-1))**3 assuming r is positive.
r**3
Simplify (d/((d*d*d/(d/(d/d**1)*d))/d))**(-27)*(d*d**(-4)/d)/d**(1/3) assuming d is positive.
d**(-94/3)
Simplify m*m/(m/(m/((m/m**(7/9))/m*m)*m)*m)*m*m**(-4/27) assuming m is positive.
m**(71/27)
Simplify ((i*i**(1/2))**(1/12))**26 assuming i is positive.
i**(13/4)
Simplify (((j**(-2/11)/j*j)/j*j)/(j/(((j*j**(3/5))/j)/j)))/(j*j**1*(j/(j**(-3)/j))/j*j) assuming j is positive.
j**(-472/55)
Simplify k**(-17)*k**(-10) assuming k is positive.
k**(-27)
Simplify (u**(-5/4)/u)**(-12/11) assuming u is positive.
u**(27/11)
Simplify (k*k**(5/6)*k*k)/k*k*k*k**(3/8)/k assuming k is positive.
k**(101/24)
Simplify ((v**(1/3)*v)**47)**(-3/37) assuming v is positive.
v**(-188/37)
Simplify ((s*s**(-2/9))/s*s**(-7))/(s**(2/7))**1 assuming s is positive.
s**(-473/63)
Simplify ((z*z**(-1/8))/z)/z**(-3/4) assuming z is positive.
z**(5/8)
Simplify d*d*d*(d/(d*d**(-9)))/d*d**(-2)/d*d/d**10*d*(d/(d*d**(-3)))/d assuming d is positive.
d**2
Simplify ((d/((((d**(-1/3)/d)/d)/d)/d)*d*d*d)/d)/d*(d/(d*d**(-8)/d))/d*(d**(-1/4))**(1/16) assuming d is positive.
d**(2749/192)
Simplify (s/(s/(s/(s*s*s**(-1/5)*s*s*s)*s))*s**(-6)*s)**(-12) assuming s is positive.
s**(468/5)
Simplify (((i/i**(2/5))/i*i)/i)**(1/2)*(i**(2/3))**9 assuming i is positive.
i**(29/5)
Simplify (l**(-6)*l*l)/l**30 assuming l is positive.
l**(-34)
Simplify (r**(-1/11)*(r*r**(-5/6))/r)**(5/6) assuming r is positive.
r**(-305/396)
Simplify x/x**(-26)*x*x**4*x*x assuming x is positive.
x**34
Simplify (c**(-8)/(c**(-8)/c))/(((c*c**(-1/2)*c*c*c)/c*c)/c**(2/3)) assuming c is positive.
c**(-11/6)
Simplify (((r/(r/(r*r/(r/(r*r**(-2/5)*r*r*r*r))*r)*r)*r)/r)/((r/((r*r**(2/15)/r)/r)*r)/r))/(r**(-1))**(-1/8) assuming r is positive.
r**(433/120)
Simplify ((y**0/y)/((y**(-3/2)*y)/y))**(-1/22) assuming y is positive.
y**(-1/44)
Simplify (j/j**(-6/13))/((j**(-14/9)/j*j*j)/j) assuming j is positive.
j**(353/117)
Simplify (t**(-10)/t*t**1/t)**(-2/27) assuming t is positive.
t**(22/27)
Simplify (o*o**(-3/10)/o)/((o/(o/o**11))/o) assuming o is positive.
o**(-103/10)
Simplify z/z**1*(z/(z*z**(-2/5)))/z*z**2/(z*z**(-8)) assuming z is positive.
z**(42/5)
Simplify u*u/u**(-1/2)*u*u/(u**(-5)/u)*u**(-2)/u**(-2/5) assuming u is positive.
u**(89/10)
Simplify (j**(-3)*j**(-7))/(j/((j**(2/5)/j)/j*j*j*j))**(-3) assuming j is positive.
j**(-56/5)
Simplify ((p**(1/4)*p)**38)**(-50) assuming p is positive.
p**(-2375)
Simplify f*f*f*f**23*f**(-1/19) assuming f is positive.
f**(493/19)
Simplify p**3/p*p**7 assuming p is positive.
p**9
Simplify (w**(-9)/(w/(w/w**8)))**(-2/21) assuming w is positive.
w**(34/21)
Simplify (c**0)**(-1/14) assuming c is positive.
1
Simplify (((o**(-1)/o)/o)**(15/2))**(-4) assuming o is positive.
o**90
Simplify n**(2/3)/n**2*n*(n/n**0)/n*n*n**(2/3) assuming n is positive.
n**(4/3)
Simplify (((c/(c/((c*c**1)/c*c)*c))/c)**(-4/11))**(-9/10) assuming c is positive.
1
Simplify (v*v/(((v/(v/v**(-34))*v)/v)/v*v))/(v**19*v) assuming v is positive.
v**16
Simplify ((p*p**(-2/11))/p)/(p*p**(3/2)) assuming p is positive.
p**(-59/22)
Simplify (((i*i**(-6))/i)/i)/(i/(i*(i*i**(-2))/i))*i**(2/3)/i**(1/5) assuming i is positive.
i**(-128/15)
Simplify (s*s**(7/4)*s**(1/2))**(-32/3) assuming s is positive.
s**(-104/3)
Simplify ((w/w**(-1/3))/w)**(-1/5) assuming w is positive.
w**(-1/15)
Simplify (s**3*s**1)/((s/s**(8/7))/(s**(5/4)*s)) assuming s is positive.
s**(179/28)
Simplify g/(g*g**(-19))*g**(8/7)/g assuming g is positive.
g**(134/7)
Simplify (x*x*x*x**(-11))**(-6/29) assuming x is positive.
x**(48/29)
Simplify (k/k**3)/(k**(-1/4)*k) assuming k is positive.
k**(-11/4)
Simplify ((b**(-9)/b)/b)/(b**(-9)*b) assuming b is positive.
b**(-3)
Simplify (n**(-1/6)/(n**(1/5)/n))/((n**(5/2)*n)/n*n**1) assuming n is positive.
n**(-43/15)
Simplify (((p*p**(-2/3))/p)/p**6)/(p**(-1/5)/(p*p**(-2))) assuming p is positive.
p**(-112/15)
Simplify (l*(l**6/l)/l*l**(2/3)*l)/(l/(l**(-1)/l*l))**(2/87) assuming l is positive.
l**(192/29)
Simplify n**8*n*n**(-25)*n assuming n is positive.
n**(-15)
Simplify ((q*(q*q**(-2))/q)**13)**10 assuming q is positive.
q**(-130)
Simplify (k/(k/(k/k**12)*k))/k**2 assuming k is positive.
k**(-14)
Simplify d/d**(-3/7)*d**(-1/2)*d**(-3/4)/d**(-2/5) assuming d is positive.
d**(81/140)
Simplify (t**7/t**(-5/4))**19 assuming t is positive.
t**(627/4)
Simplify (j*j**(3/5)*(j*j**(2/15)/j)/j)/(j*j/j**(2/3))**(-6/5) assuming j is positive.
j**(7/3)
Simplify (b**(-6)*b*b**(-2)/b)**3 assuming b is positive.
b**(-24)
Simplify (l**(1/6)*l*l*l/l**6)/(l**(2/3)*l)**(-13) assuming l is positive.
l**(113/6)
Simplify (t**(1/3))**37 assuming t is positive.
t**(37/3)
Simplify (j**0/(j**(2/15)*j))**39 assuming j is positive.
j**(-221/5)
Simplify x**(-2/5)*x**(2/23) assuming x is positive.
x**(-36/115)
Simplify ((h*h**(-38))/h)/((h/(h/(((h*h/h**(-5/3)*h*h)/h)/h))*h)/h) assuming h is positive.
h**(-125/3)
Simplify ((x**1)**(-24))**44 assuming x is positive.
x**(-1056)
Simplify (x**10)**(1/49) assuming x is positive.
x**(10/49)
Simplify (h**(2/5)*h)**(-32) assuming h is positive.
h**(-224/5)
Simplify (z**(-2/5))**(-2/29) assuming z is positive.
z**(4/145)
Simplify ((c**(-2/5)*c*c)/c)**(-18)*c/c**(4/7)*c/c**(-2) assuming c is positive.
c**(-258/35)
Simplify (g**(-1/4))**9/(g**(2/11))**(14/13) assuming g is positive.
g**(-1399/572)
Simplify ((o**5)**(-1/9))**(9/7) assuming o is positive.
o**(-5/7)
Simplify n/((n**(-3)*n)/n)*n**1*n**(-6)/n*n**1 assuming n is positive.
1/n
Simplify k*k/(k/(k/(k*k**(1/2))))*k*k**(-7)/k*(k/((k*k*k**2*k*k)/k))**(-27) assuming k is positive.
k**(203/2)
Simplify s**(-28)*s**42*s*s assuming s is positive.
s**16
Simplify ((z*z/z**(-27))/z*z)/z**(-23) assuming z is positive.
z**52
Simplify (s/s**(2/3)*(s**4/s*s*s*s)/s)/(s*s**(1/4)*s)**(-30) assuming s is positive.
s**(437/6)
Simplify (((y**(2/3)/y*y)/y)**(-22))**(-1/19) assuming y is positive.
y**(-22/57)
Simplify (w*w/w**2*w)**(-29) assuming w is positive.
w**(-29)
Simplify (q/((q**(2/15)*q)/q*q))/(q/(q*q**2)*q) assuming q is positive.
q**(13/15)
Simplify (x/x**(-3))**(-39) assuming x is positive.
x**(-156)
Simplify (r**3/r**7)**(2/35) assuming r is positive.
r**(-8/35)
Simplify g**8*((g/g**(-2/17))/g)/g*(g**(-1/2))**(-29) assuming g is positive.
g**(735/34)
Simplify r**(-6/5)/(r*r*r**(-2/17)) assuming r is positive.
r**(-262/85)
Simplify (s/s**(-2/15)*s/(s**(2/3)*s))/(s**(-1/4)*s*s*s*s)**48 assuming s is positive.
s**(-2693/15)
Simplify (z/(z*z/z**(-14))*z/(z*z**(1/14)))**(2/9) assuming z is positive.
z**(-211/63)
Simplify (((o**(1/4)*o)/o)/o**(3/16))**33 assuming o is positive.
o**(33/16)
Simplify (p*p*p*p*p**(-8)*p*p)**(27/7) assuming p is positive.
p**(-54/7)
Simplify (z/z**13*z**(1/22)/z)**(-3/17) assuming z is positive.
z**(855/374)
Simplify ((n*n/n**(-5/3))/n**(2/7))**(-1/10) assuming n is positive.
n**(-71/210)
Simplify (v**3*v**(-2/3)*v)**(2/21) assuming v is positive.
v**(20/63)
Simplify ((s*s/(s**(-5)/s))/(s**(2/9)/s*s*s))/((((s*(s/s**(-1/2)*s)/s*s*s)/s)/s)/s**(-2)) assuming s is positive.
s**(41/18)
Simplify x/x**(-4)*x*x**(1/4)*(x*x/(x*x**(-4)/x*x))/x**(1/4) assuming x is positive.
x**11
Simplify i*i*i/(((i**(-16)/i)/i)/i)*i*i**(-2/9) assuming i is positive.
i**(205/9)
Simplify l/l**(2/55)*l*(l/((l/((l**0*l)/l*l))/l)*l)/l*l assuming l is positive.
l**(273/55)
Simplify ((s**0)**34)**(-2/83) assuming s is positive.
1
Simplify z/(z*z**(2/7)*z*z)*z/z**(2/21)*z**(-2/11)*z**0 assuming z is positive.
z**(-361/231)
Simplify (n**1*n*n)**(-34)/(n/(((n**(-5)/n)/n)/n)*n**(-2/5)) assuming n is positive.
n**(-553/5)
Simplify (s/(((s*s**(-5))/s)/s))**(-1/4) assuming s is positive.
s**(-7/4)
Simplify (q**1)**(2/11)/(q**1)**3 assuming q is positive.
q**(-31/11)
Simplify (p/p**(-1/9))/(p/(p*p/(p**(-6)/p*p)*p)*p) assuming
|
{
"pile_set_name": "DM Mathematics"
}
|
Which is the closest to g? (a) -1/4 (b) -0.2 (c) 0.5
b
Suppose 2*u - 18 = 4*f, -2*f + 6 = 2*u - 0*u. Suppose 3*k = -k + 8. Let b be 2/(-20)*u/k. What is the closest to b in 0.3, -4, -1?
0.3
Suppose 0 = -3*z + 2 + 7. Let v be (26/12 - 2)*z. Which is the closest to 0.1? (a) v (b) 0.1 (c) -1/2
b
Suppose 8*p = 13*p + 5. Which is the nearest to p? (a) 4/7 (b) -5 (c) 2
a
Let f = -22 - -25. Which is the nearest to 0? (a) f (b) -4 (c) 1
c
Let r = -12 - -8.1. Let u = r + -0.1. Let q = -1.3 + 0.3. What is the closest to q in u, 0.5, -2?
-2
Let j = -132 - -131.9. Which is the nearest to j? (a) -0.2 (b) -5 (c) 3/4
a
Let u = -0.24 - 0.06. Let x = 2 - 2. Let q(f) = -f**2 + 4*f - 1. Let r be q(3). Which is the closest to x? (a) r (b) u (c) 3
b
Let y be (1 + -2)*-6*25/825. Let d = -1.3 - -0.3. Which is the closest to d? (a) -0.5 (b) y (c) -0.2
a
Let z = -0.006 + -22.594. Let r = z + 17.62. Let p = 0.02 - r. Which is the nearest to 2/5? (a) p (b) -1 (c) -1/2
c
Let c = 2.03 + -0.03. Suppose 2*j = -z - 0*z - 2, z + 2 = -4*j. Let s be (-27)/(-78) + z/4. What is the nearest to -1 in s, c, 5?
s
Suppose -i + 0 = 3. Which is the closest to -0.1? (a) -0.04 (b) i (c) 0.5
a
Let v be 2*1 + 64/(-34). Suppose 0 = 6*d - d - 345. Let q = d + -343/5. Which is the nearest to q? (a) v (b) 0.3 (c) 0.2
b
Suppose -4*i - j - 14 = 0, -2*j - 8 + 0 = 3*i. Let m = -0.4 - -0.2. Let a be 50/(-42) - (0 + (-5)/(-35)). What is the nearest to -1 in a, m, i?
a
Let g = 0.1 + -0.2. Let z(a) = a**3 - 11*a**2 + 12*a - 19. Let c be z(10). What is the closest to 2/5 in g, c, 2?
g
Let k = -2.07 - -2. Let r = k - -0.17. Let f = 0.1 + 0.1. Which is the nearest to 1/3? (a) 1 (b) f (c) r
b
Let n = 63 - 43. Suppose 2*h + 4*a = 20, a - n = h - 3*a. What is the closest to h in -0.1, -0.3, 0.5?
-0.1
Let r = 217 - 223.38. Let t = r + 1.08. Let w = t + 5. Which is the closest to 1/3? (a) w (b) 5 (c) -1
a
Let t = 7 - 2. Which is the nearest to -0.3? (a) 0.2 (b) 0 (c) t
b
Let n = 6/41 - -5/246. Which is the nearest to 2/11? (a) 3 (b) n (c) 4
b
Let w = -0.07 + 13.07. Let h = -12 + w. What is the closest to h in 2, -5, 5?
2
Let x = 3.61 - -0.39. Which is the closest to 1/2? (a) x (b) 1/8 (c) 0.4
c
Let d be ((-3)/2)/((-21)/14). Which is the nearest to 2? (a) 2 (b) 2/3 (c) d
a
Let o = -9 + 9. Let r(i) = -i**2 + i + 4. Let z be r(o). Let f = -3.1 - -3. Which is the nearest to f? (a) -2/5 (b) -0.3 (c) z
b
Let x = 591798 + -275185921/465. Let y = x - -2/155. What is the closest to 0.2 in y, 1, -0.1?
y
Let o = -0.06 - 0.34. Let q = 24 - 23. What is the nearest to q in o, 0.2, 0.5?
0.5
Let j = -88 + 90. Which is the nearest to 0.1? (a) 8/3 (b) 1/11 (c) j
b
Let v = -19/5 + 33/10. Let j = -24 - -28. Let u = 0.9 - 0.6. What is the closest to v in j, u, 1?
u
Let z = -0.01 - -4.01. Let f = 0.5 + -0.4. Let q be (-2)/(-10) - (-4)/5. What is the nearest to 1 in f, q, z?
q
Let h be 84/10 - 9 - 19/(-15). Suppose -2*i - 3*i = 0. What is the closest to h in i, -2/7, 0.1?
0.1
Let u = 4 + -4. Let t be (-3 - -1) + (-24)/(-9). What is the closest to -2/9 in t, u, 2?
u
Let v = 9 + 3. Let o be (-5)/20 - 5/v. Which is the closest to o? (a) 3 (b) 2 (c) 5
b
Let h be (-2)/8*48/(-66). Let v = -5 - -5.1. What is the closest to v in 0, h, -0.5?
h
Let k = 37 - 37. What is the closest to k in -1, 2/7, -0.3?
2/7
Let u be -2 - (-1)/((-3)/(-15)). Let j be (-2)/15 - (-1)/u. What is the closest to j in 4, 3/5, 0.1?
0.1
Let r = -12 + 8. Let q = 9/2 + -67/14. Which is the nearest to -1? (a) r (b) q (c) 0.2
b
Let k(u) = -u**2 - 19*u + 21. Let j be k(-20). Which is the nearest to j? (a) 4/7 (b) 2 (c) -3/4
a
Let u be 1*(1 + -2) - -10. Let z = 11 - u. Which is the nearest to -2/5? (a) z (b) -1/6 (c) 2/7
b
Suppose 2*p - 8 = -w - p, w + 4 = 3*p. What is the nearest to 2/7 in -4, w, 3?
w
Let p = 26 + -37. Let o = -11.3 - p. Let r be (-14)/(-10) - -1 - 2. What is the nearest to o in -2/15, 2, r?
-2/15
Let k = 0.37 + -0.27. Let f be 0 + -1 + (-10)/(-6). Let u = -3 + 2.6. Which is the nearest to 2/7? (a) k (b) f (c) u
a
Let f = 16.4 + -8. Let z = -7.96 - 0.04. Let x = f + z. What is the closest to -2 in x, 0.3, -3/5?
-3/5
Let w = 0.07 + -0.04. Let k = 0.97 + w. Let p = -3 - 0. Which is the closest to k? (a) -1 (b) 0 (c) p
b
Suppose 13*t - 15 = 37. Which is the nearest to -0.1? (a) 3/4 (b) t (c) 3
a
Let j be 6/(-33) - (-4)/(-22). Let n = 56/33 + j. Let x be 4/(-6) + 1 + -1. Which is the nearest to -0.1? (a) n (b) -1 (c) x
c
Let h = 5 - 5.3. Let u = -4/41 - 152/123. Which is the nearest to 2? (a) u (b) -0.1 (c) h
b
Let k be (-3)/18 - 5/(-10). Let v = 1/327 + -223/1635. Which is the closest to -0.1? (a) k (b) -3/4 (c) v
c
Let z = 2.5 - 5.5. Which is the closest to 0.1? (a) z (b) -2/7 (c) 4
b
Let i(p) = -p**3 + 41. Let f be i(0). Let l = f - 291/7. What is the nearest to 0.1 in 5, l, 0.1?
0.1
Suppose 0*o = 4*o + 4. Which is the closest to o? (a) -5 (b) -4/7 (c) 0.02
b
Let n be ((-4)/14)/((-140)/(-49) - 5). Which is the nearest to 2? (a) 1 (b) 0 (c) n
a
Let j = -2/9 + -10/9. Let t be (-18)/11 - (-1 - -1). Let a = t - -3/22. What is the nearest to -1 in a, j, -4/5?
-4/5
Let u = 5.02 + -0.02. What is the nearest to 0 in u, -3, 0.4?
0.4
Let y = -11 + 11.3. What is the closest to y in 3, -3, 2?
2
Let u = 0.06 + 3.94. Let n be 12/9*(-1)/2. What is the nearest to n in 0, u, 2?
0
Let n = 0.05 - 0.04. Let w = -4.01 + n. Which is the closest to 1? (a) w (b) 1/11 (c) -2/9
b
Let d(k) = k**2 - k - 2. Let x be d(-2). Suppose -2*j = -x*j + 6. What is the closest to 0.1 in 1, -1, j?
1
Let b = -0.2 - 0. Suppose 0 = 2*j - 2*m - 6, -2*j = -3*m + 2*m - 3. Let p = 5 - 4. What is the nearest to j in p, b, 0.4?
b
Let g = 0.6 - 0.8. Let o = 7 - 6.94. Let v = o + -0.36. Which is the nearest to 1? (a) g (b) v (c) 0.2
c
Let p = -156 + 156.2. Let q = 4/11 - 19/22. Which is the nearest to q? (a) -0.5 (b) p (c) -0.05
a
Let z = -23.4 - -23. Which is the closest to 0.2? (a) 0.1 (b) z (c) -4
a
Let f = -94 - -83. Which is the nearest to -1/3? (a) 5 (b) f (c) 0.4
c
Let g be (141/(-15))/(1/(-1)). Let s = 287/30 - g. Let q = -0.3 + 0.4. Which is the nearest to q? (a) -0.4 (b) 3 (c) s
c
Let c = -220/721 + 2/103. What is the nearest to c in 5, -2, 2?
-2
Let o = 6 + -6.1. Suppose -f = -0*f. What is the nearest to o in -3, 2, f?
f
Let s = 43/9 - 5. What is the closest to -1/4 in s, 3, -1?
s
Let h be (-9)/(-5) - (13 - 11). Which is the nearest to -1? (a) 0.3 (b) 0 (c) h
c
Let w(d) = -d - 9. Let z be w(-5). Which is the closest to 0.1? (a) 7/2 (b) z (c) 1/4
c
Let a(x) = -2*x + 12. Let m be a(6). Let p = -10.8 + 11. What is the nearest to 4 in m, -3/7, p?
p
Let r = 4 + -6. Let s = -1 + r. Let j = -10 + 14. Which is the nearest to 2/5? (a) -2/9 (b) s (c) j
a
Let s = -0.3 + 0.4. Let m = -12 - -17. Let w = 5.5 - m. Which is the closest to s? (a) -2/11 (b) w (c) 0.1
c
Let h = -2.145 - -0.105. Let g = h + 0.04. Which is the nearest to g? (a) 2/7 (b) -2/19 (c) 0.2
b
Let w be 6/(-2)*80/6. Let i be 1 + 2*12/w. Which is the closest to 1? (a) i (b) -1/4 (c) 0.5
c
Let j = -0.13 + -2.87. Let k = 1 + j. Which is the nearest to k? (a) 2 (b) -5 (c) -2
c
Let n = -4/37 - -49/111. Which is the nearest to -2/7? (a) 2/5 (b) n (c) 5
b
Suppose -l - 4*h + 24 = 0, -l - 4*h + h = -19. Suppose 7*v - 5*v = l. What is the nearest to -0.2 in v, 0, 0.1?
0
Let u = 0.2 - -0.1. Let x = -173/9 + 19. Which is the nearest to 1/3? (a) -3 (b) x (c) u
c
Let a = -689.17 + 697. Let z = 0.53 - a. Let d = 7 + z. What is the closest to 2/7 in 0.3, -0.5, d?
0.3
Let n = -3.1 - 9.9. Let v = 18 + n. Let m = -0.07 - -3.07. Which is the nearest to 1/4? (a) -1/6 (b) v (c) m
a
Let m = -6 - -6. Let n = -4.6 - -5. Which is the nearest to -2/3? (a) -3/2 (b) n (c) m
c
Let n = -9 - 1. Let t = n + 10.1. What is the closest to t in 1/3, -5, 2/9?
2/9
Let l = 2 - 2. Let m = l - 0. Let v = 4 - 2. Which is the closest to m? (a) v (b) 0 (c) 0.2
b
Let k = 2.04 - 0.04. Let g = k + 3. What is the closest to 0 in 4, -0.2, g?
-0.2
Let r = -0.039 + -0.161. Which is the nearest to 0? (a) -4 (b) 1/4 (c) r
c
Let d be (-53)/(-17)*(-2 + -135). Let w = d - -427. Let o = 0.4 - 0.5. Which is the nearest to o? (a) 2 (b) w (c) 3
b
L
|
{
"pile_set_name": "DM Mathematics"
}
|
(1696802/180 - m). Let l = 9420 - h. Find the common denominator of l and 44/5.
10
Find the common denominator of 67/8 and (1 - -1) + 12200/784 + -18.
392
Suppose 3*a + 1 = -y, 3*a = -0*y - 3*y + 3. Let o = -14 - -24. Suppose x - o = y*j - 4*j, -4*j = -5*x + 78. What is the least common multiple of 6 and x?
42
Let x = 2390381114590106/1531 - 1561320206634. Let g = x - -79534. Let m = g + -87297/7655. What is the common denominator of m and -1/20?
20
Suppose o + 1 = 4. Let m(z) = -z - 3. Let u be m(-7). Suppose -5*x = 3*q - 24, x + u*x = 2*q + 34. Calculate the smallest common multiple of x and o.
6
What is the common denominator of (0 - 412/(-16))/(110 + -74) and 47/417?
20016
Let o = 3360 - 30289/9. What is the common denominator of 15/691 and o?
6219
Suppose -335 = -5*v - 3*q + 8*q, -3*v + 2*q + 206 = 0. What is the lowest common multiple of v and 9?
72
Let a = -1461153/80 + 18264. Find the common denominator of -29/98 and a.
3920
Let p = 18383165821/77 - 238746551. Let s = 4138 + p. Calculate the common denominator of s and 81/56.
616
Suppose -10582*g + 10598*g = 1152. Calculate the lowest common multiple of 288 and g.
288
What is the common denominator of -151 + 164 + (-395)/27 and (-266)/147 + (-4)/6?
189
Let m(l) = 121*l + 308. What is the least common multiple of m(-2) and 5/2*84/35?
66
Let i = 84/47 + -14401/8084. What is the common denominator of i and -55/18?
1548
Let w = -57791/5548 - 1/8322. Find the common denominator of w and 125/54.
108
Find the common denominator of -20/693 and ((-1)/(-30))/((3/(-2289))/((-54)/378)).
6930
Let m(b) = 13*b**2 - 3 + 12 - 2 - 23*b - b**3. Let w be m(11). Find the common denominator of ((-2)/(-10))/(w + (-8184)/(-2010)) and -11/12.
24
What is the common denominator of (-6)/9 + 10*-1 and (-34510)/3480 - 1*2?
12
Calculate the common denominator of ((-25)/(-125))/((56/(-1420))/((-1)/(-691))) and -49/18.
87066
Let q = 3313837/62752520 + -12/54097. What is the common denominator of q and 151/870?
3480
Suppose 4482 = 123*i - 1588 - 15578. Calculate the smallest common multiple of 55 and i.
880
Let v = 632 + -632. Find the common denominator of v - ((-1164)/(-616) - 2) and 113/6.
462
Suppose -55*c - 620 = -75*c. What is the smallest common multiple of 11/(-33) - c/(-3) and 70?
70
Let g(a) = 253*a - 20. Let n be g(-7). Let r = n + 5425/3. Let z = 490/29 + -3047/261. What is the common denominator of r and z?
9
Let f(s) = -4*s**3 + 36*s**2 - 21*s + 123. Let i(o) = o**3 - 9*o**2 + 5*o - 31. Let h(m) = -2*f(m) - 9*i(m). What is the least common multiple of h(9) and 78?
78
Suppose 10*k = 2 + 38. Suppose -3*x - k*i = -1 - 0, -4 = 3*x + 5*i. Calculate the lowest common multiple of x and 14.
14
Let b be (1 - -2) + 1 + -2. Let y = 713/11 + -6067/88. Calculate the common denominator of 4 - 3 - 59/b and y.
8
Let w = 1337 - 21349/16. Suppose 2*g - 46676 = 6*g. Let q = -140147/12 - g. Find the common denominator of q and w.
48
Calculate the common denominator of (-1)/10 - 2880/(-46200) and 89/462.
2310
What is the smallest common multiple of (7 + (-209)/33)*(1049 + 1) and 600?
4200
Suppose 25 + 79 = 13*d. Let m = 1210 - 1208. What is the least common multiple of m and d?
8
Let t = -350 + 496. What is the smallest common multiple of 22 and t + (-19)/(95/(-10))?
1628
Suppose 0 = -3*q - 9, p + 3*q + 9 = 2*p. Suppose 37*g + 227 - 893 = p. What is the lowest common multiple of g and 8?
72
What is the common denominator of (((-5976)/240)/83)/(-2 + 2962/1490) and -10/5099?
30594
Let k = 11/7359711 - 318125143536/46611503. Let o = 6824 + k. Calculate the common denominator of 97/12 and o.
228
Suppose 2*g - 1933 = -4*b + 969, -3641 = -5*b - g. What is the lowest common multiple of 105 and b?
15330
Suppose 574 = 4*l + 5*l + 32*l. Let x(d) = 5*d - 1. Let g be x(1). Suppose g*r = -l + 146. What is the least common multiple of r and 6?
66
Let z = -2343 + 2664. What is the lowest common multiple of 12 and z?
1284
Let f = 561/50 + -125509/10950. What is the common denominator of -41/5 and f?
1095
Let b be (-2)/6 - 1879/(-42). Let h = b + -347/7. What is the common denominator of h and -2*748/192 - (-2 - 1)?
24
Let k be (-6)/9*(-10)/15*9. Let w be (1 + -48 + k)*-1. Let y = w - 37. What is the smallest common multiple of y and 56?
168
Suppose -2*w = 3*x - 11, -3*x = -8*w + 11*w - 9. Suppose t + 2 = 4, -x*u + 80 = 5*t. Calculate the smallest common multiple of u and 1.
14
Let s = 147952 + -34324915/232. What is the common denominator of -9/1160 and s?
1160
Let t be 14 + -9 + 2 + 98. Let m(w) = -w**3 - 7*w**2 - 7*w - 5. What is the lowest common multiple of 6/(-14) - (16425/t)/(-15) and m(-6)?
10
Let x = -3318433/185786040 - 1/127688. Calculate the common denominator of x and 28/27.
13095
Let n be -3 + 66/24 + (-4)/(-16). Let k(j) = 2*j + 15. Calculate the lowest common multiple of 11 and k(n).
165
What is the common denominator of 17/(15708/(-63))*113/9 and 67/84?
924
Suppose -2*w = -f - 24 - 66, 0 = f - w + 91. Let q = 91 + f. Calculate the lowest common multiple of 30 and (-36 - q)*(-9 + 57/7).
30
Calculate the least common multiple of (19 - (15 + -659)) + -9*1 and 13.
8502
Let x be 2020/9 - 6/9. Let l = 16823/72 - x. Let c = 395525/9 + -43952. Calculate the common denominator of l and c.
72
Let u = -5774 + 577407/100. Let m = 14794 - 88825/6. What is the common denominator of u and m?
300
Find the common denominator of ((-84)/210 + 154/290)*1 and -40/319.
1595
Let g(k) = 61*k + 1301. Calculate the least common multiple of g(-14) and 24.
3576
Suppose -f = h - 2770, 0 = 4*h - 3*h + 5*f - 2762. What is the least common multiple of h and 242?
30492
Let z = 1393 + -905. Suppose -z + 484 = -v. What is the lowest common multiple of 3 and v?
12
Calculate the least common multiple of 3375 and (-3)/(-11) - 998184/(-242).
37125
Let q(y) = -y**3 - y**2 - y + 3. Let l be q(0). Find the common denominator of 618/3024*-20 + 8/18 and l/3 - (-114)/(-4).
14
Let k = -1241577 + 2192624921/1766. What is the common denominator of k and -28/9?
15894
What is the common denominator of (-6)/(0 - (-212)/(-11)) and (2/(-5) + (-59)/(-2))*(-15620)/18744?
212
Suppose q = -5*h - 46, 5*h + 0*h + 170 = -5*q. Let u = q + 33. Calculate the common denominator of -35/8 and 845/(-110) - u/(-11).
8
Let g be (0 + 1)*(0 + -1 + 4). Let c(z) = -9588*z + 2. Let u be c(g). Let r = 949075/33 + u. What is the common denominator of r and 59/21?
231
Let l = 28503 - 3192391/112. Find the common denominator of ((-110)/(-8))/((-3150)/(-396)) and l.
560
Let r(p) = -p**3 - 22*p**2 + 77*p + 64. What is the least common multiple of r(-25) and 364?
364
Let k(c) = 29*c**2 + 3*c + 2. Let l(z) = 11*z - 48. What is the least common multiple of k(-1) and l(5)?
28
Suppose -z - 3*y + 7 = 0, -5*z = -4*z + y - 5. What is the least common multiple of (10/6)/(((-1530)/1188)/(-17)) and z?
44
Let n(d) = 20*d - 2 - 2*d**2 - 15*d**3 - 4*d**3 - 17*d. Let b be n(1). Find the common denominator of 6930/(-108)*2/b and 79/30.
60
Let y(f) = -2*f**2 - 30*f + 29. Let t be y(13). Let c = t + 734. Calculate the lowest common multiple of 20 and c.
140
Suppose 3*v + 5*q - 44 = 0, -2*q = -0*v - 2*v + 8. Let l be 2/((2/3)/((-24)/18)). Calculate the least common multiple of 30/3 - (l - -2) and v.
24
Let a(w) = w**3 + 12*w**2 + 18*w - 21. Let j be a(-9). Suppose 2*z - 126 = -v - 3*v, v = z - j. What is the lowest common multiple of z and 10?
610
Suppose 147*s + 65*s + 132404 - 464820 = 0. What is the least common multiple of 2 and s?
1568
Let p = 1435 + -2925/2. Calculate the common denominator of -103/2822 and p.
2822
Let x(c) = -69*c + 428. Calculate the smallest common multiple of 39 and x(6).
546
Suppose 0 = -3*n + 9, 975 = 4*x + x + 5*n. Let i = 169921 - 169891. Calculate the lowest common multiple of i and x.
960
Let b(z) = -z**2 - 5*z + 10. Let j be ((-4 - -6) + -5)*13/3. Let x = 35 - j. What is the smallest common multiple of x and b(-5)?
240
Let s(m) = 11*m**2 - 12*m + 127. Let u be s(-11). Find the common denominator of -181/60 and (-636)/u - (-1 + (-34)/(-40)).
60
Let p be -6 + 4*(-35)/(-28). What is the least common multiple of (-12)/(6/p) - (1 + -19) and 21?
420
Suppose -c - 2*a = -3*c + 78, -c + 5*a + 43 = 0. Suppose -25*q - 312 = -c*q. Calculate the smallest common multiple of q and 186.
744
Let v(s)
|
{
"pile_set_name": "DM Mathematics"
}
|
or of w?
False
Is 12 a factor of -9*1/(-15) - (-50694)/85?
False
Does 58 divide (-1735)/(-9) + 4/18?
False
Let l(a) be the second derivative of a**5/4 - a**4 - 17*a**3/6 + 15*a**2/2 - 11*a. Let s(f) = f**3 - f. Let p(g) = l(g) - 6*s(g). Does 31 divide p(-12)?
False
Let i(n) = 11*n**2 - 1 + n + 4 + 1 + n**3 + 4*n. Is i(-5) a multiple of 32?
False
Suppose 3*f + 8 + 9 = t, 133 = 5*t + f. Does 5 divide (t/(-3))/(2*(-1)/15)?
True
Let n(k) = 13*k**2 + 11*k - 1. Let i(x) = 7*x**2 + 5*x. Let q(s) = 5*i(s) - 2*n(s). Is q(-2) a multiple of 28?
False
Suppose 14*f - 2*f = 660. Suppose -163 = -6*t - f. Does 5 divide t?
False
Suppose -15*s + 10*s = 345. Let w = 172 + s. Is w a multiple of 12?
False
Suppose -860 = -2*a + 4*k, 4*a - 3*k - 1734 = -2*k. Is 18 a factor of a?
False
Suppose p = 3*p + 26. Suppose 5*a - 240 = a. Let v = a + p. Is 13 a factor of v?
False
Suppose -5*j - 952 = -12*j. Is j a multiple of 17?
True
Let i = -198 + 288. Is i a multiple of 15?
True
Suppose 4*j + j - 5*m = -30, 4*j + 21 = m. Let q be (0 - 2) + 3 - j. Suppose -7*s = -q*s - 6. Is s a multiple of 3?
True
Suppose 2*o + 4 = 3*w + 2, 2*w = 3*o + 3. Suppose 4*y = 3*v + 76, w*y + 56 = 3*y - 2*v. Let d = y + 12. Is d a multiple of 12?
False
Is 22 a factor of 1/(8/202) - (-13)/(-52)?
False
Let b(q) = -12 + q**2 + 2*q - 3*q + 12*q + 1. Suppose -i - 9 = -5*s, -2*s - 51 = 4*i - 7*s. Is b(i) a multiple of 15?
False
Suppose n = -2, -6 = -2*z + 5*n + 104. Suppose -105 = -5*c + z. Does 3 divide c?
False
Let y be 10/50 + 1379/5. Suppose 0 = f - o - 73, 4*f - y - 40 = -4*o. Suppose 0 = -3*h + g + 56, -3*h = -0*h + 4*g - f. Is h a multiple of 3?
False
Suppose 68 - 196 = -p. Does 22 divide (66/8)/(24/p)?
True
Is 9 a factor of (7106/(-95))/(4/(-30))?
False
Suppose -2*u + 10 = 3*o - u, 30 = 4*o - 2*u. Suppose 3*k - 9 = -3*c, -3*k + 5*c = -o*k - 6. Let r = 51 - k. Is 12 a factor of r?
False
Let u = 6 - 1. Suppose 10*h = u*h - 5*f + 30, 3*h - 4*f - 11 = 0. Does 13 divide (104/h)/(4/10)?
True
Let p = -7 - -10. Let s(r) = -9*r - p*r + 0*r + 9*r. Is s(-6) a multiple of 6?
True
Let h(y) = -y**2 - y + 1. Let n be h(3). Let v = 10 + n. Is 4 a factor of 4*(-1 + 2 - v)?
True
Let b = -17 - -19. Suppose -8 = -l + 5*d + 20, -d = -b. Suppose -l = -w + 4*o, 13 = w + 4*o - 1. Does 26 divide w?
True
Suppose -30 = -g - 9. Suppose 5 = -2*u + f + 33, -3*u = 5*f - 42. Let d = g - u. Is d a multiple of 7?
True
Let t(g) = 3358*g**3 + 3*g**2 - 20*g + 19. Does 36 divide t(1)?
False
Suppose 154 + 1784 = 6*a. Is a a multiple of 21?
False
Suppose 20 = -5*l - n, 4*l + n + 17 = -0*n. Let x(w) = 2*w**2 - 14*w - 13. Let d(q) = q**2. Let p(f) = l*d(f) + x(f). Is 9 a factor of p(-10)?
True
Let n = 12 + -8. Suppose 0 = 2*f + n - 6. Does 11 divide (17 + -18)/(f/(-41))?
False
Let y be 20/30 - (-5588)/6. Let r = y - 1427. Is 11 a factor of 2/(-6)*r/15?
True
Let v be 0 + 1 - (3 + (4 - -1)). Is 4 a factor of (-9)/(-2) - v/(-14)?
True
Let t(y) = y**3 + 11*y**2 - 3*y - 5. Let s be t(-11). Let x be s*(-1 - (-9)/6). Suppose -n + 5 = -x. Does 6 divide n?
False
Let u(a) be the third derivative of a**6/120 - a**4/12 + 11*a**3/3 + 3*a**2. Let c(o) = -o + 7. Let n be c(7). Is u(n) a multiple of 11?
True
Let l(b) be the third derivative of b**5/12 + b**4/24 - b**3 + 22*b**2. Is 6 a factor of l(3)?
True
Does 57 divide (1377 - -28) + (4 - 0)?
False
Suppose -2*h + 8 - 4 = 0. Let t be 202*(h - (-20)/(-8)). Let p = t - -148. Does 23 divide p?
False
Suppose -5*t + 5*m + 12075 = 0, 3*t - 56*m + 51*m = 7247. Is 17 a factor of t?
True
Suppose 0*z = z - 10. Suppose 5*s - 30 + z = 0. Is 22 a factor of s*(0/(-3) + 18)?
False
Suppose h + 256 = 3*g - 3*h, h = g - 85. Is 9 a factor of g?
False
Let k(f) = f**3 - 9*f**2 + 5*f - 12. Let h be k(11). Let g = 441 - h. Is g a multiple of 32?
False
Let q(b) = 8*b**2 + 25*b + 14. Is q(6) a multiple of 14?
False
Suppose 18*v = 7*v + 4158. Is v a multiple of 18?
True
Suppose 3*v + 11*f - 5739 = 14*f, 4*f = -2*v + 3796. Does 8 divide v?
False
Let t(p) = -111*p + 4. Let m(b) = -56*b + 2. Let g(x) = 7*m(x) - 3*t(x). Let r be g(-1). Suppose -y = -2*n + 44, 5*n = 2*n - y + r. Is n a multiple of 6?
False
Suppose -5*c - 4692 = -11*c. Suppose 0 = 4*m - c + 194. Is m a multiple of 49?
True
Let k = -32 - -34. Suppose -k*u = -3*f + 136, -5*f - 4*u + 210 = u. Is 29 a factor of f?
False
Let a(o) = -o**2 + 6*o - 9. Suppose r - 2 = -y, -4*y = 5*r - 0 - 6. Let w be a(y). Does 25 divide 4/(-4)*w + 24?
True
Let l(o) = -7*o**2 - 488*o - 39. Does 39 divide l(-66)?
True
Suppose 0 = 2*f + 2, 0 = 21*d - 24*d - 2*f + 316. Let h be 0 - 23 - (-1 - -2). Let q = d + h. Is 24 a factor of q?
False
Suppose -r - p = -718, -3*r - 4*p + 458 = -1697. Is 34 a factor of r?
False
Let c(z) = -7 - 6*z + 4 - 2 - 16. Does 13 divide c(-16)?
False
Suppose 11*n + 290 = 6*n. Let x = n + 127. Does 26 divide x?
False
Suppose -34*k - 30*k + 2304 = 0. Does 2 divide k?
True
Let p(z) = 3*z**2 + 24 + z**3 - 4*z**2 - z + 0*z. Let d be 10/(-20)*0/4. Is 8 a factor of p(d)?
True
Suppose -4*w + 1 + 3 = 0. Let t = w - 4. Is 30 a factor of -1 - (t - -3) - -54?
False
Suppose 0 = l + l. Suppose l = -u - c + 4*c - 19, -5*u - 2*c = 27. Does 14 divide 0/(-1) - 196/u?
True
Let d = -22 + 84. Let c = 119 - d. Is 18 a factor of c?
False
Is 152/6*9*(-6)/(-9) a multiple of 19?
True
Let b(m) = -m**2 + 15*m + 40. Does 6 divide b(10)?
True
Suppose 3*o + 40 = 13. Let s = o + 70. Does 14 divide s?
False
Let o = -10 - -39. Suppose 2*x + 4*t + 98 = 4*x, 0 = x + 2*t - o. Does 13 divide x?
True
Does 17 divide (68/3)/(388/48 - 8)?
True
Suppose -j + 0*f = -f + 2, j = 5*f + 14. Let r(g) = -g**3 - 4*g**2 + 5*g + 2. Is r(j) a multiple of 8?
False
Is 143/5*(24 + -19) a multiple of 13?
True
Let k(a) be the second derivative of -a**5/20 + a**4/2 - a**2 + 3*a. Let o be k(6). Is o/(-3) - 52/(-3) a multiple of 9?
True
Let w(y) = 2791*y**3 - y**2 - y + 2. Is w(1) a multiple of 20?
False
Let k be (-1)/(-1) + (19 - 19). Does 4 divide 471/15 + (k - 14/10)?
False
Is 16 a factor of (-33)/(-66) + (-3382)/(-4)?
False
Suppose 0 = 17*t - 13*t, -5*t - 2949 = -3*i. Is 21 a factor of i?
False
Let b(l) = 11*l**2 + 23*l - 6. Is b(-6) a multiple of 84?
True
Suppose 5*s - f + 1971 = 0, 0 = -2*s - 3*s + 3*f - 1963. Let c = -230 - s. Does 9 divide c?
False
Let s(d) = -7*d + 11. Let i(x) = x**2 + 13*x + 17. Let q be i(-11). Is s(q) a multiple of 38?
False
Is (-12729)/(-5) + (-927)/515 a multiple of 16?
True
Suppose 7*z + 36 - 57 = 0. Suppose -i = -5*g - 25, -5*i + 3*g = -0*i - 37. Suppose -2*o + 54 = -z*f + i, -4*o = 4*f - 48. Does 17 divide o?
True
Let c(p) = 2*p - 2. Let j be c(2). Is 21 a factor of j/(-8) - 2862/(-24)?
False
Let v(u) = -u**3 - 4*u**2 + 9*u + 16. Let h be v(-6). Is 3 - (-2 - h)*2 a multiple of 25?
True
Is -23 - -21 - (0 - 1849) a multiple of 48?
False
Let l(g) = 6*g**3 - 7*g**2 + 7*g + 7. Let d(c) = 0 + 3 + 7*c**3 + 0 + 8*c - 8*c**2 + 5. Let q(s) = -5*d(s) + 6*l(s). Does 4 divide q(2)?
False
Let s be ((-3)/9 - -1)/(1/(-3)). Is 11 a factor of s + 1 + (0 + 157 - 2)?
True
Let l be (-4 - 116)/(3/(-10)). Is 2 - 5 - (2 - l/5) a multiple of 15?
True
Suppose f = -5*o - 7 - 8, -2*o = f + 6. Let s(t) = t**2 - 5*t - 3. Is 21 a factor of s(o)?
True
Let p(l) = -3*l + 1. Let o = -24 + 17. Is 11 a factor of p(o)?
True
Does 13 divide 9/(-18)*(-8)/12*5817?
False
Suppose -9*y = -25227 - 10773. Does 20 divide y?
True
Suppose 1 = 5*m - 4. Let s be (m + -2)/1 + 1. Is 1*s/1 + 16 a multiple of 16?
True
Let c = -4682 - -10874. Does 16 divide c?
True
Let u be 4/6 + (-1196)/(-6). Let g = 422 - u. Is 36 a factor of g?
False
Let o = 7295 + -4085. Does 10 divide o?
True
Suppose -2*o - 657 = -3*w + 3*o, -4*o + 630 = 3*w. Is 17 a factor of w?
False
Is (-4 + 5)/((2/(-1))/(-158)) a multiple of 24?
False
Suppose -5*r + 219 + 246 = 0. Let g = r + -51. Suppose g = -6*m + 7*m. Is m a multiple of 21?
True
Let n = 667 + 1438. Is 50 a factor of n?
False
Suppose 4*l - 16 = -0*l. Let z(x) = -6*x - 10. Let o(s) = s + 1. Let q(w) = -5*o(w) - z(w). Does 4 divide q(l)?
False
Is (159/15)/((2/90)/1) a multiple of 9?
True
Let d(h) be the first derivative of h**5/60 - h**4/8 - h**3/3 + 7*h**2/2 - 2. Let z(x) be the second derivative of d(x). Is z(-7) a multiple of 13?
False
Let n(l) = 3*l + 17. Let k be n(-13). Let d = k - -46. Is d a multiple of 4?
True
Let
|
{
"pile_set_name": "DM Mathematics"
}
|
4 + 23*y - 31/2*y**2. Is q(-23) prime?
True
Suppose 0 = -3*s + 56 - 44. Suppose -2*o = -n - n - 4, s*o - 23 = -n. Is n - (5 - 4622/2) composite?
False
Let a(c) = c**3 + 16*c**2 + 8*c + 29. Suppose s - 53 + 7 = 0. Suppose -5*d - s = 2*n + 25, n - 62 = 4*d. Is a(d) composite?
True
Let i(b) be the second derivative of 395*b**3/6 - 5*b**2 - 12*b. Let u be i(3). Suppose 0*d - 3*d + u = -2*f, 3*f + 3 = 0. Is d composite?
True
Suppose -5*h = -r - 257554, 0 = h + 3*r + 2*r - 51516. Is h a composite number?
False
Suppose 3*c - 9*h - 57388 = -14*h, 4*c = 5*h + 76459. Is c a prime number?
True
Suppose -183*r + 1215261013 = 388*r. Is r prime?
True
Suppose 0 = -4*z - 11 + 51. Suppose 2*u - z = -5*p + 5*u, 6 = 3*p + 4*u. Is ((4 + -10)/12)/(p/(-10676)) a prime number?
False
Suppose -8105 = 62*x - 67*x. Is (14 - 8)*x/3 composite?
True
Let d be -6 + ((-12)/(-6) + 6 - 2). Let g(y) = -y**3 - 2*y**2 - y + 1858. Is g(d) prime?
False
Suppose 0 = -37*f + 30*f - 20188. Let n = f + 13473. Is n prime?
True
Let p(m) = m**3 + 20*m**2 - 16*m + 2. Suppose -4*z + 106 = 62. Let c = z + -30. Is p(c) a composite number?
True
Suppose 16*m - 307492 = -4836. Suppose -4*c - 3053 + m = -t, -7924 = -2*c + 2*t. Is c a prime number?
True
Suppose -3*m + 7 = 5*w, 0*w + m + 5 = 2*w. Let d(f) = f - 3 + 2 + 29*f**w - 3 + 3. Is d(6) composite?
False
Let m(a) = -3*a**3 - 1 - a**2 - a**2 - 5*a + 6*a. Let l(b) = 10*b + 95. Let j be l(-10). Is m(j) a composite number?
True
Let w be (2 + (1 - -23))*2*6. Let o = -169 + w. Let y = 200 - o. Is y a composite number?
True
Suppose -389513 = -26*m + 846449. Is m a composite number?
True
Let s(v) be the third derivative of 23*v**5/60 + v**4/8 + 3*v**3/2 + 6*v**2 + 9*v. Is s(-7) composite?
True
Let t(r) = 2*r + 10*r**2 + 7*r**2 + 12*r**3 + 38*r**3 + 2 - 18*r**2. Let b be t(-1). Let k = 8 - b. Is k composite?
False
Is (-286)/52*(-10556060)/110 prime?
True
Suppose -267 + 37 = -46*a. Suppose 33607 = 3*o - 4*b, -8*o = -9*o - a*b + 11177. Is o a composite number?
False
Is (30981 - 24) + -2*4 a composite number?
False
Suppose -5*m = 6*x - 4*x - 439411, 263646 = 3*m + x. Is m prime?
True
Let i(o) = 70 + 23 - 7*o**2 - 29*o**2 - o**3 - o. Is i(-37) a prime number?
True
Suppose 0*v + 2*v = 2*n - 23224, 5*v = -5. Suppose o + 3*b = n, 46376 = 4*o - 2*b - 3*b. Is o a composite number?
True
Suppose 68676 = 52*y - 12080. Is y a prime number?
True
Is ((-30)/510)/(1/(-3601603)) prime?
True
Suppose 0 = 47*p - 33247151 + 11063950. Is p a composite number?
True
Let i(c) = c**3 + 10*c**2 + 10*c + 4. Let v be i(-9). Let o be v*(-2 + 97/(-5) + -2). Let r = -20 + o. Is r a composite number?
False
Is (-3)/(-2) + -10 + (-8401533)/(-14) prime?
True
Suppose -5*j = -23 + 93. Let o(s) = -2*s**3 + 7*s**2 + 51*s + 33. Is o(j) composite?
True
Is ((-174778)/8)/((244/16)/(-61)) a composite number?
True
Let w(j) = 12043*j + 158. Is w(11) composite?
False
Suppose -3*w = -3*j - 1151604, -1919342 = -5*w - 50*j + 53*j. Is w a composite number?
False
Suppose 9*l - 410 = -23. Is (l/2)/(0 - (-1)/38) composite?
True
Let i = -778746 + 1100297. Is i prime?
False
Is 10/4*1*4*(-379033)/(-10) composite?
False
Is (-4 + -144210 + -4)/(-4) - 1/(-2) prime?
False
Suppose -2*c + 2*z - 4 = -c, -19 = -2*c - 5*z. Suppose 3*x = -2*j - 9, x - c*x = -5*j + 3. Suppose -3*o + 2*r + 14741 = j, -135 = -2*o - 5*r + 9705. Is o prime?
False
Suppose 3*z + 858658 = 2*t, -3*t = -4*z - 779800 - 508183. Is t a composite number?
True
Suppose 5*b - o - 9235 = 0, 5*b - 8390 = -2*o + 830. Suppose 5709 + b = 5*i. Is i composite?
False
Let s be ((-48)/(-20))/(-2 + 93/45). Let l be (-140 - 2) + (-2 - -1). Let t = s - l. Is t prime?
True
Suppose s + 74 = -0*s - 3*w, -5*s - 294 = -4*w. Let c = s - -60. Let y(l) = -15*l**3 + l**2 - 6*l - 9. Is y(c) prime?
True
Let g be (87/(-58))/((-3)/4). Suppose 5*s - g = 8. Is ((-2203)/s)/((-11)/22) a composite number?
False
Let n(m) = 18133*m - 1029. Is n(22) a prime number?
True
Let p(o) = -7*o + 78. Let s be p(13). Let l(h) = -69*h - 20. Is l(s) composite?
False
Suppose -5 = -0*n - n. Suppose 0 = -n*f + 136 - 6. Is (1 + 1)/(f/6227) composite?
False
Suppose -89*c = -161263 - 509530. Is c a composite number?
False
Suppose -2 - 4 = -2*v. Suppose -v*z + z + 5 = -3*b, 2*z - 10 = 4*b. Is 1153 - -5*2/z prime?
True
Suppose -7*b - 18 + 11 = 0. Is (107 + b)*(-308)/(-56) a composite number?
True
Suppose -p - 14*p = -15. Let r(t) = -174*t - 3. Let j be r(p). Is 4 - (j + 1 - -1) a prime number?
True
Let l(x) = 88*x**3 + 19*x**2 + 4*x - 5. Suppose 25*m - 52*m = -108. Is l(m) a prime number?
False
Is (-9 - 52/8*-2) + 53397 prime?
True
Let i = -217919 - -467330. Is i composite?
True
Let a(b) be the second derivative of 0 - 8*b + 25/2*b**2 + 23/2*b**3. Is a(12) composite?
False
Is 1 + (-2778203)/(-5) - 5/((-1100)/(-132)) a prime number?
False
Suppose -40*z + 504917 + 589403 = 0. Is z a composite number?
True
Let l(d) = 155*d + 46. Let q be l(12). Let k = 1320 - -2437. Let n = q + k. Is n prime?
False
Is ((-10)/100 + (-8)/20)*-17002 prime?
True
Suppose -7*x + 5485 = -35808. Is x a composite number?
True
Suppose -8*x + 705 = 3833. Let j = 1064 + x. Is j a prime number?
True
Suppose -2*j + 0*j + 90 = 0. Suppose -13*s + 75 = -107. Let d = j + s. Is d a prime number?
True
Let z(j) = 357*j**2 + 67*j + 673. Is z(-14) a composite number?
True
Let y(a) = -205*a + 31. Let l(f) = 204*f - 31. Let r(s) = 7*l(s) + 6*y(s). Let p = -409 - -416. Is r(p) a prime number?
False
Suppose 2*d = 3*l - 500, -46 = 3*d - 2*l + 694. Let u = d + 403. Is 1*(2 - u)*-1 prime?
True
Suppose -o - 12965 + 2336 = 0. Is 50/(-15)*o/6 prime?
False
Let i be 2037 - 0*(-3)/3. Let c = -172 - -174. Suppose 0 = -c*h - h + i. Is h a prime number?
False
Suppose -2*b + 5*z + 1821391 = 0, -5*b + 2*z + 2524649 + 2028818 = 0. Is b a composite number?
True
Suppose 31 = 5*t + 5*a - 29, 42 = 5*t - 4*a. Suppose 6*s - 3*g + 9257 = t*s, 2*s = 4*g + 4634. Is s a prime number?
False
Let u(j) = -j + 3. Suppose -4*a = -5*x + 1 - 6, 4 = 5*a - 4*x. Let z be u(a). Suppose -88 = -q + 3*p, -z*q + 3*p = -0*p - 246. Is q a prime number?
True
Let h(j) = 264*j**2 + 97*j - 1010. Is h(-27) composite?
False
Let j = -511161 + 1834646. Is j composite?
True
Suppose 4*c - k + 56263 = 0, -3*c - 4*k + 13628 = 55830. Let q = 21223 + c. Is q composite?
True
Let t be (-4 - 306)/(60/31 + -2). Suppose 42*u - t = 37*u. Is u a prime number?
False
Suppose -3*d - 4*p + 5*p - 2888 = 0, -4*p - 3840 = 4*d. Let h be (20 + -18)*(-4350)/(-4). Let w = d + h. Is w composite?
False
Let q(x) = 1171*x**2 + 124*x + 44. Is q(-9) prime?
False
Let o(m) = 292*m**2 + 7*m - 7. Let a be o(2). Let b = a - -924. Is b composite?
False
Let n(j) = 1040*j**2 + 76*j + 466. Is n(-7) prime?
False
Suppose -16333499 = -66*a + 2532423 + 3062644. Is a a prime number?
True
Let r(j) = -j**2 - 8*j - 13. Let o be r(-4). Suppose 5*h - 4 = o*h. Suppose -3*s - 5*t = -264, -3*t - h*t - 400 = -5*s. Is s composite?
False
Let r(u) = -2*u**2 - u + 4649. Let l be r(0). Let f = l - -660. Is f a composite number?
False
Let m(l) = 11*l**2 - 255*l - 567. Is m(79) prime?
True
Suppose 2*b = 4, -10*s - 22 = -12*s + b. Suppose -s*i + 1040 = -14*i. Let o = i - -733. Is o a prime number?
False
Let x = 1470 - -779. Let y = x + -1482. Suppose 4*l = 4131 - y. Is l a prime number?
False
Let z be (52/(-156))/((-1)/38622). Suppose -12229 = -4*a + h + 13504, -2*a - 2*h = -z. Is a a prime number?
False
Is (-728624)/(-12) + 150/90 - (-4)/(-3) a composite number?
False
Let b(a) = 11*a + 6*a**2 - 18*a**3 + 23*a**3 + 29 + 6*a**3 - 15*a**3 - 18*a**2. Is b(-14) prime?
False
Let p(b) = b**3 + 58*b**2 - 13*b + 3. Let i be p(-39). Suppose 6*n = 3*n + i. Is n prime?
True
Let c(p) = -1167*p**3 - p**2 + 18*p + 87. Is c(-4) prime?
True
Suppose 0 = -4*l + 42 - 26. Is (-1)/l + 1844/16 a prime number?
False
Suppose -3*q - 66228 = -4*f - 14449, 0 = -5*f + q + 64710. Is f a composite number?
False
Let b(g) = 22*g + 84. Let r be b(-3). Suppose 0 = -r*x + 212530 - 41692. Is x a composite number?
False
Suppose -3*a = 0, 0 = -2*u - 3*u - 4*a + 8675. Let b = -992 + u. Is b a composite number?
False
Let l(f) = 113*f**2 - 50*f - 409. Is l(-8) a prime number?
False
Let r(n) = -n - 8. Let v(o) = -o. Let l(b) = r(b) - 3*v(b). Let c be l(6). Suppose 3*a = c*d - 450 + 4489, 0 = -3*a + 5
|
{
"pile_set_name": "DM Mathematics"
}
|
of i(s) wrt s.
660*s**2
Suppose k + 5 = -5. Let q be (k/15)/((-1)/3). What is the third derivative of 3*c**2 + c**2 - q*c**4 + 9*c**4 wrt c?
168*c
Find the third derivative of -11*m**5 + 196*m - m**6 - 36*m**2 - 196*m wrt m.
-120*m**3 - 660*m**2
Let a(h) be the first derivative of 0*h + 0*h**5 + 0*h**4 + 7/3*h**3 - 3 + 0*h**2 + 2/7*h**7 + 0*h**6. What is the third derivative of a(v) wrt v?
240*v**3
Let t(f) be the first derivative of 0*f - 38 + 6*f**2 + 25/3*f**3. What is the second derivative of t(j) wrt j?
50
Find the third derivative of -2*x**4 - 54*x**4 + 2*x - 126*x**2 - 2*x wrt x.
-1344*x
Let j(k) = 25*k**3 + 19*k**2 - 3. Let h(y) = 26*y**3 + 19*y**2 - 2. Let t be 1/3*(8 - 8/4). Let o(p) = t*j(p) - 3*h(p). Find the third derivative of o(a) wrt a.
-168
Differentiate -141 + 4*z**3 - 4*z**3 + 54*z**4 - 49*z**4 + 28*z**4 wrt z.
132*z**3
Let s(l) be the second derivative of 10/3*l**3 + 0*l**6 - 25/42*l**7 + 0*l**5 + 0*l**2 + 0 - 6*l + 0*l**4. What is the second derivative of s(k) wrt k?
-500*k**3
Differentiate 228*u**3 - 190 + 114 + 402 + 328 wrt u.
684*u**2
Let r(x) be the third derivative of -x**8/336 + 3*x**7/10 + 6*x**4 + 27*x**2. Find the second derivative of r(w) wrt w.
-20*w**3 + 756*w**2
Let r(j) = 77*j**4 - 57*j**2 + 6*j + 3. Let c(p) = 76*p**4 - 55*p**2 + 4*p + 2. Let h(d) = 3*c(d) - 2*r(d). Find the third derivative of h(s) wrt s.
1776*s
Find the third derivative of 2*c**3 - 7*c**3 - c**3 - 77*c**2 + c**3 - 7*c**3 wrt c.
-72
Differentiate 616*s - 86 + 432*s - 268*s with respect to s.
780
Let l(h) be the second derivative of -h**4/12 - 47*h**3/3 - 481*h**2/2 + 8*h + 17. Find the first derivative of l(x) wrt x.
-2*x - 94
Let h(v) = 14*v**2 + v - 4. Let f = 22 + -33. Let a(i) = 41*i**2 + 4*i - 11. Let z(w) = f*h(w) + 4*a(w). Find the second derivative of z(p) wrt p.
20
Let u(m) = 116*m + 159. Let c(o) = 117*o + 160. Let s(r) = 3*c(r) - 2*u(r). Find the first derivative of s(z) wrt z.
119
Let g = -83 + 88. What is the second derivative of -3115 + 3115 + 8*l**g - 21*l wrt l?
160*l**3
Let n(w) = w**2 + 5*w - 3. Let d be n(2). Find the third derivative of 1 - 7 + 8*l**6 + 6 - d*l**2 wrt l.
960*l**3
Let f(j) = 2*j**2 + 25*j + 11. Let a be f(-13). Find the second derivative of -a*o + 30*o**5 - 17*o + 12*o wrt o.
600*o**3
Let x(u) = 2*u**2 + 16*u + 20. Let h be x(-7). Let o(v) = 6*v. Let i be o(1). Find the third derivative of -7*r**h - 15*r**2 + 8*r**6 + 4*r**2 - 5*r**i wrt r.
-480*r**3
Let l(x) be the first derivative of -748*x**3/3 + 848*x + 238. Find the first derivative of l(a) wrt a.
-1496*a
Let l(x) be the third derivative of 149*x**4/6 - 29*x**3 + x**2 + 32. Find the first derivative of l(n) wrt n.
596
Let y = 26 + 6. Suppose -z = -3*b + 4 + 4, 4*b + 4*z = y. Differentiate 2 - n**4 + 0 - n**b with respect to n.
-8*n**3
Let o(p) be the second derivative of 26*p**3 - 80*p**2 - 13*p + 2. What is the derivative of o(j) wrt j?
156
Let d = 5 - -2. Suppose -12 = -4*c - h, -2*c + 2*h - 12 = d*h. Find the third derivative of 4*l**5 + c*l**2 - 2*l + 2*l wrt l.
240*l**2
What is the third derivative of -5*a**3 - 7*a**5 - 137*a**4 + 5*a**3 + 3*a**5 + 2*a**5 + 17*a**2 wrt a?
-120*a**2 - 3288*a
Let x be 2/(1*(-3)/(-6)). Suppose 0 = 3*o - 0*s + 2*s - 10, 0 = -x*o - 5*s + 4. Find the third derivative of -f**o - f**6 - 2*f**2 + 6*f**2 wrt f.
-240*f**3
Let u(d) = -1030*d**3 - 11*d**2 + 431*d + 11. Let j(f) = 206*f**3 + 2*f**2 - 86*f - 2. Let v(w) = 22*j(w) + 4*u(w). What is the second derivative of v(b) wrt b?
2472*b
Let c(x) = -16*x**2 - 1. Let i(f) = 21 - 68*f**2 - 25 - 13*f**2. Let y(w) = -11*c(w) + 2*i(w). Differentiate y(k) wrt k.
28*k
Let s(z) = z. Let x(d) = 7*d - 2. Let u(l) = -6*s(l) + x(l). Let y be u(4). Find the second derivative of -3*o**y + 8*o**2 + 4*o + o wrt o.
10
Let x(n) be the second derivative of 0*n**2 + 0 - 5*n**3 + 0*n**5 - 17/15*n**6 - 7*n + 0*n**4. Find the second derivative of x(f) wrt f.
-408*f**2
Find the first derivative of 4*g**3 - 4*g**3 - 2*g**3 + 4 + 9*g**3 wrt g.
21*g**2
Let q be 9/(-6)*(-4)/3. Suppose 0 = -7*w + 2*w + 30. What is the third derivative of -7*r**6 + r**2 + 3*r**q - 2*r**w + r**6 wrt r?
-960*r**3
Let u(y) be the third derivative of -3*y**6/5 - 4*y**5/3 - 3*y**2 - 1. What is the third derivative of u(j) wrt j?
-432
Let f(l) be the second derivative of -86*l**7/21 + 15*l**4/4 + l**2/2 - 307*l. What is the third derivative of f(j) wrt j?
-10320*j**2
Suppose -9 = -2*p + 3. What is the first derivative of -9 - 5 + 25 + p*o**4 wrt o?
24*o**3
Let t(y) = -y + 2 - 1 + 2. Let k be t(0). What is the third derivative of i**2 - k*i + 3*i - 4*i**6 wrt i?
-480*i**3
Let x be (-15 + 14)*7/(-1). Differentiate -35*y - x - 8 + 17 wrt y.
-35
Suppose 4*k = r + 511, 2*k - 7*r = -3*r + 238. Find the third derivative of -k*v**4 + 86*v**4 + 0*v**3 + 4*v**2 + v + 0*v**3 wrt v.
-1032*v
Differentiate 48 - 11*r + 11*r - 11*r**2 - 57 - 5*r**3 with respect to r.
-15*r**2 - 22*r
Let x(a) be the third derivative of -a**8/420 + a**6/180 - 2*a**3 + 10*a**2. Let k(w) be the first derivative of x(w). Find the third derivative of k(r) wrt r.
-96*r
Let c(g) = -2*g**4 + 2*g**3 - g + 2. Let x(q) = -314*q**4 + 4*q**3 - 197*q**2 - 2*q + 4. Let h(j) = 2*c(j) - x(j). What is the third derivative of h(v) wrt v?
7440*v
Let z(j) = -j**3 + j**2 - j - 1. Let g(u) = -4*u**2 + 2*u - 14. Let b(h) = -g(h) - 4*z(h). Differentiate b(a) wrt a.
12*a**2 + 2
Let c(w) be the first derivative of w**8/210 - 7*w**6/360 - 5*w**3 + 31. Let l(x) be the third derivative of c(x). Find the third derivative of l(g) wrt g.
192*g
Let u(b) = 14*b**4 + 7*b**3 - 7*b**2 - 7*b - 209. Let f(y) = -9*y**4 - 5*y**3 + 5*y**2 + 5*y + 140. Let t(p) = -7*f(p) - 5*u(p). Differentiate t(r) wrt r.
-28*r**3
Suppose r + 5 = x, 3*x = -r - 0*r + 3. What is the first derivative of -6*j + x + 0*j + 1 - 13 wrt j?
-6
Let w(z) = -310*z**4 + 6*z**3 + 6*z - 238. Let b(l) = -2*l**4 + l**3 + l. Let y(r) = -6*b(r) + w(r). Differentiate y(n) wrt n.
-1192*n**3
Let v(t) be the third derivative of -t**4/24 - 41*t**3/6 - 4*t**2 - 4*t. What is the first derivative of v(q) wrt q?
-1
Let a(z) = -580*z**2 + 614*z**2 - 38 + 95. Let i(j) = -17*j**2 - 29. Let k(v) = -2*a(v) - 5*i(v). Find the first derivative of k(c) wrt c.
34*c
What is the third derivative of -85*w**2 - 2*w + 5*w**3 - 5 - 41*w**4 + 5 + 43*w**4 wrt w?
48*w + 30
Suppose 8*m = 4*m - 5*m. Let h(i) be the third derivative of 0*i + m + 0*i**4 + 0*i**5 - 1/210*i**7 - i**2 + 2/3*i**3 + 0*i**6. Differentiate h(y) wrt y.
-4*y**3
Let b(n) be the third derivative of 37*n**7/70 - n**6/120 + 169*n**3/6 + n**2 + 5*n. Differentiate b(x) wrt x.
444*x**3 - 3*x**2
Suppose 10*x - 11*x = -6. What is the first derivative of -6 + 9 - 17*w**3 + x wrt w?
-51*w**2
Find the second derivative of 6*x + 13*x - 30*x - 100 - 352*x**2 + 13*x wrt x.
-704
Let r(w) = -6*w**3 - 3*w**2 - 4*w - 2. Let k be r(-1). Let u = -2 + 6. Find the second derivative of -k*o**4 + 41*o**2 - 7*o + 2*o**u - 41*o**2 wrt o.
-36*o**2
Let v(i) be the first derivative of 0*i**5 + 0*i**4 - 8*i**3 - 1/2*i**6 + 0*i + 0*i**2 - 20. Find the third derivative of v(f) wrt f.
-180*f**2
Let c(s) be the first derivative of -s**8/1680 - 5*s**6/72 + 10*s**3 + 18. Let x(u) be the third derivative of c(u). What is the third derivative of x(t) wrt t?
-24*t
What is the third derivative of 301*m**2 - 258*m**4 + 454*m**2 + 271*m**4 - 20*m**3 wrt m?
312*m - 120
What is the second derivative of 0*d**3 + 2668*d + 0*d**3 - 2433*d + 195*d**5 wrt d?
3900*d**3
Suppose 12*s + 15 = 39. What is the third derivative of 34*h**5 + 0*h**2 + 11*h**2 + 0*h**s wrt h?
2040*h**2
Let t be (-44)/(-36) + 6/(-27). Suppose 5*w - 3*w - t = s, -3*s - 5*w = -19. What is the third derivative of -3*v**s + 11*v**2 + 5*v**3 + 6*v**3 - 7*v**2 wrt v?
48
What is the second derivative of 4*v**4 - 2582*v - 14*v**2 + 2304*v - 2 + 2 wrt v?
48*v**2 - 28
Let a(x) be the first derivative of 5*x**4 + 2*x**3/3 - x**2 + 47*x - 235. Find the second derivative of a(g) wrt g.
120*g + 4
Let s(r) be the first derivative of -5/3*r**3 + 4*r + 0*r**2 + 4. What is the derivative of s(h) wrt h?
-10*h
Let c(g) = 2*g - 20. Let k be c(14). Let i be 2/4*k + -2. Find the third derivative of -3*h**6 + 0*h**6 + 53*h**2 + 2*h**6 - 57*h**i wrt h.
-120*h**3
Let p(a) = 484*a**3 - 6*a*
|
{
"pile_set_name": "DM Mathematics"
}
|
))/(sqrt(99)/sqrt(396) - (sqrt(9)*1*5 + sqrt(9))).
-6*sqrt(5)/35 + 2
Simplify -4 + 0 + (((sqrt(234) - sqrt(234)*-4) + sqrt(234) - sqrt(234))/sqrt(6)*3)/(-4*(sqrt(27) - sqrt(3)) + sqrt(192) + -1*sqrt(192)).
-15*sqrt(13)/8 - 4
Simplify (0 + (4*((sqrt(75) + 1)*-6 + sqrt(75)) - 2*(-4 + 5*sqrt(75))))**2.
4800*sqrt(3) + 67756
Simplify (-2 + ((sqrt(153) + sqrt(153)*-3*4 - sqrt(153))*4)/((-3*1*sqrt(81))/sqrt(9)))**2.
-64*sqrt(17) + 4356
Simplify (-4 + (sqrt(1573)*-2 - sqrt(1573)) + -4 - ((sqrt(1573)*-2 - sqrt(1573))*-1 + -4)**2) + -2.
-14183 + 231*sqrt(13)
Simplify (6*(2*sqrt(228) - sqrt(228)) - (sqrt(228) - (sqrt(228) + (sqrt(228) - sqrt(228)*-1)*5)))/(sqrt(1728)*-1*-2 - sqrt(1728)*2*2).
-2*sqrt(19)/3
Simplify ((sqrt(275) - (sqrt(275) + 1 + sqrt(275)))**2*2 - ((sqrt(1100) - sqrt(1100)*-2)*-6)**2) + (4 + sqrt(396) + 0 - (-5 + 0 + sqrt(396)))**2.
-355767 + 20*sqrt(11)
Simplify ((sqrt(126)/(sqrt(847) + (sqrt(847) - 1*sqrt(847)) + sqrt(847)) + (sqrt(450) - (2*sqrt(450) + 1 - sqrt(450))))*4)**2.
-48*sqrt(2)/11 + 2008/121
Simplify (-5*(sqrt(1053) + 0 + 1) - ((sqrt(832) - (sqrt(832) + (sqrt(832) + sqrt(832)*-1 - sqrt(832)) + sqrt(832))) + sqrt(13) + -5*sqrt(13)*-2))**2.
560*sqrt(13) + 40793
Simplify (sqrt(76) + (0 + 0 + sqrt(76))**2 - 1*sqrt(76)*1) + ((0 + sqrt(76) + sqrt(76) + sqrt(76) + sqrt(76) + 1 - (1 + sqrt(76)*-2))*1)**2.
2812
Simplify 5 + (sqrt(187) - sqrt(187)*-3*-3)/sqrt(11) + (-5 + sqrt(2057) + 0 + -3)**2.
-184*sqrt(17) + 2126
Simplify (-4 + -5 + -1 + (sqrt(112) - -4*sqrt(112) - sqrt(112))*-1 + -5 + 1)**2.
448*sqrt(7) + 1988
Simplify (0 + (((-2*sqrt(16) + sqrt(16))*-2 - sqrt(16)) + 1*sqrt(32)/sqrt(2))/(sqrt(8) - (1*sqrt(16)/sqrt(2) - sqrt(8)) - -1*sqrt(200))*-5)**2*-3.
-50/3
Simplify 4*sqrt(26)/sqrt(18)*6 - (3*sqrt(208) + 2)**2.
-1876 - 40*sqrt(13)
Simplify (((sqrt(40) + sqrt(40)*-2*-2)/(sqrt(800)*-1))**2 - (sqrt(25)/(sqrt(5) + sqrt(320)) + -3*sqrt(20))**2) + -5.
-57395/324
Simplify 1*((-5*-1*sqrt(3456) - sqrt(3456))/((sqrt(96)/(sqrt(8)/sqrt(4)))/sqrt(4)))**2.
4608
Simplify ((sqrt(84) + (6*5*sqrt(84) - sqrt(84) - sqrt(84)) - (sqrt(84)*3 + sqrt(84))*3)/(-3*(1*(sqrt(12)*-1 + sqrt(12)) - 6*(sqrt(12) - sqrt(12)*-1))))**2.
2023/1296
Simplify -5*5*(2 + (1*sqrt(40)/sqrt(2))/(sqrt(484)*-1 - sqrt(4) - sqrt(4))).
-50 + 25*sqrt(5)/13
Simplify (sqrt(63) - sqrt(1008)*-1 - (sqrt(6300) - -4*sqrt(6300) - sqrt(63)))/(-4*(sqrt(9) + sqrt(36)/sqrt(4)*-4 - (sqrt(9) + -1*sqrt(441)))).
11*sqrt(7)/3
Simplify -4*sqrt(60)/sqrt(48)*3 + ((sqrt(120)/sqrt(3))/sqrt(2))/sqrt(4)*-5.
-11*sqrt(5)
Simplify 5*-6*(5 + (sqrt(11) + sqrt(11)*1*-2 - (sqrt(44)/sqrt(2))/sqrt(2) - (-5*(sqrt(77) + sqrt(77)*2 + sqrt(77)))/sqrt(7))).
-540*sqrt(11) - 150
Simplify (6*sqrt(114)*4)/(sqrt(600)*-1 + sqrt(6))*-4*6.
64*sqrt(19)
Simplify ((sqrt(112)*-1 + sqrt(112) - sqrt(112) - sqrt(112))/sqrt(4) - sqrt(28)*4*-4)/(((sqrt(196) - 1*-1*sqrt(196)) + sqrt(196) - sqrt(196))*-6).
-sqrt(7)/6
Simplify ((3 + 5 + 0 + sqrt(4032) + -5 + 2)*3)**2*-5.
-182565 - 10800*sqrt(7)
Simplify (-4*-1*sqrt(1911)*6)/(4*sqrt(12)/(-4*(sqrt(16)/sqrt(4) + sqrt(4)))) + 0.
-336*sqrt(13)
Simplify (-3*sqrt(55)*3 - sqrt(6655)*2)/(-2*3*(sqrt(5) + (sqrt(180)/sqrt(6))/sqrt(6))).
31*sqrt(11)/12
Simplify ((sqrt(8) + (sqrt(8)*3 - sqrt(8) - sqrt(8)))*-2 + sqrt(200)*5)/(6*(sqrt(16) - sqrt(144)) + sqrt(16) + sqrt(192)/(-2*sqrt(12))).
-21*sqrt(2)/23
Simplify 4*((sqrt(208) + (sqrt(208)*-1 - sqrt(208))*1)*4)/(-4*(sqrt(484) + sqrt(484)*2 - sqrt(4) - -4*sqrt(12)/sqrt(3))).
2*sqrt(13)/9
Simplify (-3 + 1 + sqrt(1900))*5 + 3 + (sqrt(228)/sqrt(192) + sqrt(114)/(1*sqrt(6)) + -3)**2 + 1.
523/16 + 85*sqrt(19)/2
Simplify ((sqrt(168) - -1*sqrt(168))/sqrt(6) + (sqrt(224)/(sqrt(8) - sqrt(200)) - sqrt(28)))/((sqrt(512)*4)/sqrt(8)).
3*sqrt(7)/64
Simplify (5*((sqrt(4114)*1 - sqrt(4114)) + sqrt(4114))*-1)/(-1*(6*sqrt(96)/sqrt(3) + sqrt(32))).
55*sqrt(17)/28
Simplify (((sqrt(720) + 2*sqrt(720) + -4)*3 + (sqrt(720) + 1 + 4 - (-4 + (sqrt(720) + 1 - sqrt(720)))))*2)**2*-1*6.
-1728384 + 23040*sqrt(5)
Simplify (3 + ((sqrt(231) - (sqrt(231) - (sqrt(231)*1 - sqrt(231))))/sqrt(7))/sqrt(11) - -6*4*sqrt(12)/(sqrt(8)/sqrt(2)))*3.
9 + 72*sqrt(3)
Simplify 1 + -3*((sqrt(72) + (sqrt(72) - (sqrt(72) - (sqrt(72) + sqrt(72)*-1 + 1 - sqrt(72)))) + (2*(-2*sqrt(72) - sqrt(72)) - sqrt(72)))*-3*4)**2*4.
-6098111 + 145152*sqrt(2)
Simplify (sqrt(5)*5 + 0 + 3*sqrt(125) - (3 + sqrt(500) + sqrt(500) - (sqrt(45)/sqrt(3))/sqrt(3)))**2.
-6*sqrt(5) + 14
Simplify (5*(-2*(sqrt(2000)*-1 - sqrt(2000)) - sqrt(2000)))/(((1*sqrt(336))/sqrt(12))/(-1*sqrt(343))).
-1050*sqrt(5)
Simplify (((sqrt(375) - (-4*sqrt(375)*4 + sqrt(375)) - sqrt(375) - sqrt(375))*1)/(3*(1*sqrt(1200) + sqrt(1200))))**2.
245/144
Simplify (-5 + -6*sqrt(22)/(sqrt(396) - sqrt(11)) + -2 + -1)*1.
-8 - 6*sqrt(2)/5
Simplify (-3 + (sqrt(147) + 4 + sqrt(147) + -2)*-4 + (-4*(1 + sqrt(147)) - (sqrt(147) - 2*sqrt(147))*4))**2.
1680*sqrt(3) + 9633
Simplify ((sqrt(55) + sqrt(110)/sqrt(18))*4)/(-1*sqrt(2156) - sqrt(44))*-3.
sqrt(5)
Simplify (((sqrt(270) - (sqrt(270) - 5*sqrt(270)*1)) + sqrt(270))/(sqrt(486)*2 - sqrt(486)) + 1 + -3 + 3*sqrt(405))**2.
-116*sqrt(5) + 4209
Simplify -3 + ((-5 + sqrt(2299) + 0)*-5 + -2 - ((sqrt(2299) + 0)*-6 - ((sqrt(2299) - 1*sqrt(2299)) + 1)))**2.
528*sqrt(19) + 2872
Simplify 3 + sqrt(14)/sqrt(7) - (sqrt(64)/sqrt(4))/sqrt(8) - (sqrt(200) - 2*((-3*sqrt(200))**2 - sqrt(200)))*3.
-90*sqrt(2) + 10803
Simplify (4 + -6*(-2*5*sqrt(40))/(sqrt(8) + -4*sqrt(800)))*5.
-100*sqrt(5)/13 + 20
Simplify 5*-2*(-2 + (0 + (sqrt(500)*3)**2 + -1 + sqrt(500))*6*-3).
1800*sqrt(5) + 809840
Simplify (-2 + -6*(sqrt(3520)*-2 - sqrt(3520))/(sqrt(40)/sqrt(2)) + 0)*5 + 1.
-9 + 360*sqrt(11)
Simplify 3*((2*2*sqrt(5600))/(2*(sqrt(1152)*2 - sqrt(1152) - sqrt(1152) - sqrt(1152))) + 4).
-5*sqrt(7) + 12
Simplify (-1*(sqrt(44) + 1*sqrt(704) - sqrt(44) - -2*(sqrt(44) - sqrt(396)))/(sqrt(16)/(sqrt(4) + (sqrt(32)*1)/sqrt(8))))**2.
0
Simplify ((sqrt(275) + -3 + sqrt(275) + sqrt(275))**2 + -1 + 3 + (-4*2*sqrt(1331) - (-2 + sqrt(1331) + -3)))*3.
-567*sqrt(11) + 7473
Simplify (1*sqrt(187)*2*-3*5)/(2*sqrt(1584)*2)*6.
-15*sqrt(17)/4
Simplify 0 + -5 + (-4 + -1 + sqrt(80))**2 + (-2 + 2 + (-1*sqrt(1620) - sqrt(1620)))**2.
-40*sqrt(5) + 6580
Simplify 5 + 5 + (5*sqrt(1872))/(sqrt(48)/sqrt(432))*-5 + -3.
-900*sqrt(13) + 7
Simplify (-2*(sqrt(384) - -2*(sqrt(384)*3 - sqrt(384))))/((sqrt(484) + sqrt(484)*1)/(sqrt(98)*2)).
-560*sqrt(3)/11
Simplify 2 + sqrt(19) + 3*sqrt(931) + 4 + -6*(sqrt(57) - (sqrt(228)*4 + sqrt(228) - sqrt(57)))/sqrt(3).
6 + 70*sqrt(19)
Simplify 3*sqrt(24)/((sqrt(64)/sqrt(4))/sqrt(2)) + 2 + (sqrt(9) - sqrt(9)*-1*5)/(sqrt(21)/(sqrt(7) - (sqrt(7) - sqrt(112)) - sqrt(7))).
2 + 21*sqrt(3)
Simplify ((sqrt(68) + -3)**2 - ((2 + sqrt(17)*4 + sqrt(17))**2 - sqrt(17))) + sqrt(17) + (-1*sqrt(17)*-3)**2 + (1 + sqrt(17) + -2)**2.
-181 - 32*sqrt(17)
Simplify ((2 + sqrt(99) + 2*sqrt(99)*5 - (((-2*sqrt(99))/sqrt(9) - sqrt(132)/(sqrt(48)/sqrt(4))) + 4)) + -5)**2.
-504*sqrt(11) + 14305
Simplify (-3*2*(sqrt(243) + -1 + 1 + sqrt(243)*-2 + 2 + -3 + sqrt(243) + (sqrt(243) + 2)*4))**2.
18144*sqrt(3) + 141732
Simplify (sqrt(6)/(sqrt(36)/(sqrt(36)/sqrt(3)) + sqrt(3)) + (sqrt(30)/sqrt(5)*-3 + sqrt(6))/sqrt(3) + 2)**2*6.
-36*sqrt(2) + 51
Simplify 6*(5 + (-2*sqrt(363)*-2 - sqrt(363))**2 + (sqrt(363) - (-4*(sqrt(363) + 1) + sqrt(363) - sqrt(363))**2) + (sqrt(363) + -3)*-5*-1).
-15402 - 1716*sqrt(3)
Simplify 5*((sqrt(605) + 3*sqrt(605)*-1)*-3 - (1 + sqrt(35)/sqrt(175))*-3).
15 + 333*sqrt(5)
Simplify (((sqrt(360) - sqrt(360)*2)/sqrt(6) - sqrt(60))/(sqrt(12) - (sqrt(12) + (1*sqrt(12)*3 - sqrt(12)))) - (-6*2*sqrt(35))/(sqrt(700)*2))**2.
64/5
Simplify -5 + (((sqrt(110)/sqrt(2) - sqrt(55)) + sqrt(55) + sqrt(55))/sqrt(5) + sqrt(132)/(sqrt(48)/sqrt(4)))**2*3 + (6*(sqrt(11) + sqrt(539) + -1))**2*6.
-3456*sqrt(11) + 152572
Simplify 5*(2*(3*sqrt(9)*-3 - sqrt(9)))/((sqrt(108) - (sqrt(108) + -3*5*sqrt(108))) + sqrt(108) + sqrt(108)).
-50*sqrt(3)/51
Simplify (5*(-2 + sqrt(192)*1) + -2 - (4 + (sqrt(192) - (1 + sqrt(192))) - (3*sqrt(192)*2 + sqrt(192))))**2.
-2880*sqrt(3) + 27873
Simplify (-2*sqrt(171) + 2 + (-2*sqrt(171) - sqrt(171))*1 - -5*(1 + (sqrt(171)*2 + -5 - sqrt(171))))**2.
324
Simplify ((sqrt(528) - (1*sqrt(528) - sqrt(528))*-2)/(sqrt(108)/sqrt(144)))/((sqrt(3388) + 2*sqrt(3388) - sqrt(3
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{
"pile_set_name": "DM Mathematics"
}
|
8. Let b = 1 - -8. Let w = -8 + b. Is c at least w?
False
Suppose 0 = -0*f - f + 10. Let n be f/3*(-6)/(-5). Let l be ((-5)/3)/(n/(-24)). Is 9 < l?
True
Let g = -45.5 - -45.38. Which is smaller: 17 or g?
g
Let a be (-18)/(-8)*(-32)/12. Let g be (8/(-3))/(4/a). Let f be (8 - (-6 + g))/1. Which is smaller: f or 1/3?
1/3
Let k be 34050/300*-1*(0 + 2). Is -0.1 equal to k?
False
Let y = -35 - -38. Let v = -0.5 - 0.5. Which is bigger: v or y?
y
Suppose 2*u = -2*s + 5*s + 2, -5*s + 1 = u. Let v = u + -2. Suppose 3*f + 3 = 4*q, 0 = 2*f - 0*q + 4*q + 2. Is f at least v?
True
Let k = -43 + 45.1. Let i = -31/12 - -25/12. Are k and i equal?
False
Let u(p) = p**3 + 18*p**2 - 16*p + 57. Let d be u(-19). Suppose 4*i = -4*f + 20, 6*f - 5*i = 4*f + 17. Suppose -f*t + t + 10 = 0. Does d = t?
False
Suppose 0 = 2*b + 39 - 33. Is -30/7 <= b?
True
Let d = -74/153 - -12/17. Let t(m) = -3*m + 16. Let w be t(5). Let n be 2 - (6 + -4)/w. Which is greater: n or d?
d
Let g(v) = -v**2 - 10*v + 29. Let l be g(-12). Suppose -5*m + 10 = -4*d - 5, 4*d - 15 = -5*m. Suppose d*z = -4*z + 16. Which is smaller: z or l?
z
Let q = -62 - -37. Let b = -13 - q. Let j = -12 + b. Which is smaller: j or 2/5?
j
Suppose 2*u = o + 3, -4*o = 3*u + 2*u - 14. Let a be 1/(u - 27/15). Let y = 71 + -67. Is a < y?
False
Let p(x) = -4*x - 43. Let f be p(-14). Let m = -16 + f. Is m > -3/2?
False
Let k = 9 - 7. Suppose -t - k*a + 4 = a, -3*t - 4*a + 12 = 0. Suppose -2*d + 10 = t*v, 5*d + 0*d + 5*v = 15. Does d = -4/13?
False
Let w = -25/36 + 1/36. Let v be 2*(7/(-14))/(3/12). Let n(t) = 5*t + 19. Let l be n(v). Which is greater: l or w?
w
Let z(p) = 3*p**2 - 4*p + 5. Let l(o) = 4*o**2 - 5*o + 6. Let k(c) = -4*l(c) + 5*z(c). Let a be k(0). Let s be 2/4*1*10. Is s at least as big as a?
True
Let y(n) = -201 - n**3 + 201 + n**2. Let m be y(1). Which is smaller: 1 or m?
m
Let u(a) = -a - 14. Let n(y) = -3*y + 2. Let h be n(4). Let z be u(h). Let f be (-6)/4*z/24. Which is smaller: f or -4?
-4
Let k = 253 + -368. Are -115 and k equal?
True
Suppose -4*a = -8, 4*r - 104 = -10*a + 6*a. Is r at least as big as 166/7?
True
Let r = 212 + -240. Is r <= -28?
True
Let v(y) be the second derivative of y**4/12 + y**3 + 3*y**2 - 4*y. Let r be v(-5). Let w = -955 + 37243/39. Is w not equal to r?
True
Let f = -5 - -8. Suppose -4*g + 3*z = -2*z + 2, 2*g + f*z = -12. Suppose 2*m + 22 = -2*m + 2*b, -26 = 2*m + 4*b. Is m at most as big as g?
True
Let b be -88*((-9)/(-24) - 1/(-8)). Which is bigger: -41 or b?
-41
Let g(t) = -t**3 + 17*t**2 - 11*t + 15. Let x be g(13). Are 547 and x unequal?
True
Suppose 0 = -4*i - 37 + 85. Let q be i*(-20)/9*(-48)/40. Which is smaller: 30 or q?
30
Let f be ((-2)/(-4464)*8)/((-15)/(-18)). Which is smaller: 1 or f?
f
Let j(z) = -24*z - 83. Let n be j(-3). Let i(l) be the third derivative of -l**5/60 + 2*l**3/3 - 2*l**2. Let o be i(4). Is n not equal to o?
True
Let l = 465 + -464. Which is bigger: 2/2157 or l?
l
Suppose 0 = -2*m - 7 + 25. Let i be 62 + -54 + (-2 - -3)*0. Is i not equal to m?
True
Let g = 85 - 52. Let v be ((-1)/(-14))/(g/110). Are 0 and v non-equal?
True
Let z = -2 - -6. Let k = 595 + -595.2. Is z less than or equal to k?
False
Let d(g) = -g**3 + 4*g**2 - 2*g + 1. Let i be d(4). Let t = 1 - i. Which is smaller: t or 9?
t
Let t be (2/(-7))/(22 - (-3744)/(-168)). Which is smaller: 51/22 or t?
t
Let f = 0.01 - -0.39. Let y = -163/114 + -4/57. Is f greater than or equal to y?
True
Let k = 300 - 151. Suppose -4*n + 113 = -3*q, 7*q - 5*n = 3*q - k. Is q <= -94/3?
False
Suppose j = 5*b - 0*b - 11, -j + 7 = 4*b. Suppose -4*o = -5*i + 45 - 18, -2*i = -3*o - 22. Let g be o/(j + -2 - -1). Is 3 > g?
False
Let m = -124 - -451. Is m at most 1?
False
Let x(f) = 0 + 3 - 2 - f. Suppose 28 + 37 = 13*n. Let m be x(n). Is m less than -4?
False
Let p be ((-3)/(-177))/(1/2). Let z = -31 + 30. Which is smaller: z or p?
z
Let i be (17 + 1)/(35/(-112) - 0). Do i and -59 have different values?
True
Let n = 2133 + -3813. Let o be 507/n + 2/(-7). Let w = 3/16 + o. Are 2/37 and w non-equal?
True
Let x = -1.08 + -10.82. Is x <= 2/3?
True
Suppose -35 = 5*k - 0. Let v = -2 - 1. Which is smaller: k or v?
k
Let o = -1136 - -1272. Does 141 = o?
False
Let u = 165.6 + -165. Which is smaller: 6/11 or u?
6/11
Suppose 0 = -0*s + 5*s - 795. Let t = s - 353. Let b = t + 2132/11. Is b smaller than 1?
True
Let w = 0 - -4. Let n = 10.76 - -0.24. Let m = 12 - n. Is m bigger than w?
False
Let x be (0 - -3) + (-5 - (-2 - -96)). Let v = x - -95. Which is smaller: v or 3?
v
Let d = -1035 - -1077. Do d and 39 have the same value?
False
Suppose -3*z - 19 = 2. Let t = z - -15. Which is bigger: 6 or t?
t
Suppose -6*j - 6 = -3*j. Let g be j/(-11) + 380/209. Let k = g - 3. Which is greater: -2/7 or k?
-2/7
Suppose -735*j = -753*j + 14508. Are j and 806 unequal?
False
Let j be 36*(224/(-6))/(-14). Which is smaller: j or 97?
j
Let d be (33 + -17)/(2/4). Suppose 3*i + 29 = 2*l, -2*i - d = -2*l + 2*i. Suppose -8 = -4*z + 4*x, -x = -6*x - l. Is 2/9 at most as big as z?
False
Suppose 4*w - 44 = 2*b, -53 = -0*b + 4*b - w. Let m be (-2)/b - (-8)/16. Which is greater: m or -4/7?
m
Let l = 19 + -34. Let b = l + 72. Which is bigger: 1 or b?
b
Let y = 56 - 56.02. Let f = 1.01 - 0.01. Let h = f - 1.3. Do y and h have different values?
True
Let h be (24/(-10))/(15/100). Let c be h/(-12)*(3 + 0). Which is smaller: -0.3 or c?
-0.3
Let a = -35 + 25. Is -13 at least as big as a?
False
Let y be (-6)/21 - (-18)/14. Suppose -5*u + 5*d = -185, 4*u - 2*d - 151 = -d. Let w be u/18 - 55/33. Which is bigger: y or w?
y
Suppose -r + 1 - 13 = 0. Let b(p) = -7*p + 34. Let n(q) = -q + 7. Let x(d) = b(d) - 6*n(d). Let t be x(r). Which is smaller: t or -0.3?
-0.3
Let f be 8 + 1133/(-132) + (-1)/(-4). Is -79/4 not equal to f?
True
Let u = 17/2 - 123/14. Which is bigger: u or 8.08?
8.08
Let a = 643 + -642.935. Is a at least as big as -1?
True
Let b(r) = -r - 1. Let k(q) = -4*q - 11. Let y(u) = 5*b(u) - k(u). Let n be y(7). Which is smaller: n or -18/11?
-18/11
Let i = 1203 - 1263. Is i <= 9?
True
Let r = -1178 - -820. Which is smaller: r or -356?
r
Let w(b) = -b - 2. Let f(n) = 3*n + 6. Let g be f(-2). Let x be w(g). Is x != 1?
True
Let h = -2.7 - -1.3. Let j = h - -1.4. Are j and -16 equal?
False
Let p be 60*((-36)/30)/((-6)/4). Suppose 6*j - 18 = -p. Suppose -31 = 5*y - 6. Is y less than j?
False
Let u = 215/3 - 71. Let w(k) = 3*k + 10*k**2 - 2*k**3 - 15*k**2 + 0*k. Let d be w(-3). Which is greater: u or d?
u
Suppose 1 = 5*m + 36. Let x(u) = u**2 + 4*u - 8. Let b be x(m). Let w = b - 15. Which is smaller: w or -5?
-5
Let a = -17 + 12. Let u = 56 + -57. Let k = u + a. Which is smaller: -0.1 or k?
k
Suppose -4*x - 215 = -p, -x - 784 - 16 = -4*p. Which is smaller: 200 or p?
p
Let u = 1 - 1. Suppose 3*j - 3*z - 306 = -j, -j - 5*z + 65 = 0. Let l be (2*j/20)/((-3)/(-4)). Which is bigger: l or u?
l
Suppose 0 = -3*u + 16*u. Are u and -7/10 nonequal?
True
Suppose 5*r + 3 = -7. Let k be -2 + 66/3 + r. Let a be (-8)/k + 4/(-18). Is 5 <= a?
False
Suppose 2*j = 8*j - 144. Let z be ((-16)/j)/((-11)/(-3)). Is z smaller than -5?
False
Let k = 0.086 - 6.086. Let s = 0.022 + -6.222. Let a = k - s. Is 2/7 smaller than a?
False
Suppose 2*g + 104 = -2*o - 2*g, -3*g = o + 49. Let k be (-164)/(-3) - (-2 - -1). Let x = k + o. Which is bigger: -1 or x?
-1
Let z(m) = -m**3 + 3*m - 4. Let r be z(-3). Let k = 1 - 9. Let l be k/2*(-9)/3. Is r greater than l?
True
Let f = 96 + -58. Suppose 0 = 2*m - 6 + f. Which is greater: m or -11?
-11
Suppose -3*g - 1 = 2. Let t(k) = -k**2 + 6*k. Let l be t(5). Suppose 0 = l*v + 4*s - 35, v + 5*s = 38 - 10. Is v less than g?
False
Suppose -3*q - 5*x + 245 = 0, 0*x + 2*x = -3*q + 233. Let y be (q/(-10))/(2/4). Is -14 at most as big as y?
False
Let q(j) = -j + 7. Let h be q(7). Let k(a) = -5*a**3 - a**2 - 2*a - 1. Let z be k(-1). Suppose 15 = z*p, 2*t + 98 = 7*t + p. Which is smaller: h or t?
h
Suppose 3*v + 9 = 0, 0*v = -3*k - 3*v - 21. Suppose -2 + 41 = -13*j. Is k <= j?
True
Let d = 13 - 11. Let t(r) = r**3 - 3*r**2 + 2*r + 2. Let p be t(d). Suppose 5*q = g + 7, 0*g + 5*q = -p*g + 1. Is g >= -1?
False
Let m = 0.054 + -1.054. Suppose 10 = -5*c, -u - c + 0 = 5. Which is greater: u or m?
m
Let s be 10*(-6 + (-11)/(-2)). Which is smaller: s or -7?
-7
Let i
|
{
"pile_set_name": "DM Mathematics"
}
|
y*z + n*y + 3*n*z + 479*t**3*y - 95*t**2*z wrt t?
-36*n*y*z + 120*n*z + 2874*y
What is the second derivative of 1492*s**4 - 1366*s**2 + 132260*s?
17904*s**2 - 2732
Find the third derivative of 2742*c**3*n + c**3 + 125*c**2*n - 3*c**2 + 6*n + 2 wrt c.
16452*n + 6
Find the first derivative of -17796*q**4 + 19822.
-71184*q**3
Differentiate 6*k**2*t**2 - 25*k**2 + 9*k*t - 2*k - 44*t**2 + 3*t + 11 with respect to k.
12*k*t**2 - 50*k + 9*t - 2
Find the first derivative of 192147*r + 564876.
192147
What is the third derivative of -10*j**4*k**2*w + 17219*j**4 - 243*j**2*k**2*w - j**2*k**2 - 2*j*k**2*w + j - 2*k**2 + w wrt j?
-240*j*k**2*w + 413256*j
Find the third derivative of 222353*u**3 + 199*u**2 + 719*u wrt u.
1334118
Find the first derivative of -43246*o**2*t - 40272*t wrt o.
-86492*o*t
Find the second derivative of 7403*t**4 - 7*t**3 - 2*t**2 - 4*t - 603 wrt t.
88836*t**2 - 42*t - 4
Differentiate -2*i**4*z + 2*i**4 - 37012*i**2 + 1514*z - 18 wrt i.
-8*i**3*z + 8*i**3 - 74024*i
Find the third derivative of 615525*s**3 - 381*s**2 - 32 wrt s.
3693150
Differentiate 238037*b + 141224 with respect to b.
238037
What is the first derivative of -3*l*t**3 - 3*l*t**2 - 2*l*t + 39124*l - 2*t**3 - 53*t**2 - 814 wrt l?
-3*t**3 - 3*t**2 - 2*t + 39124
What is the derivative of 160*n*t**4 + 2*n*t**2 + 30*n - 604 wrt t?
640*n*t**3 + 4*n*t
What is the second derivative of 2*i**3*y**2 + 7*i**3*y - i*y**2 + 9*i*y - 77*i - 10034*y**2 wrt y?
4*i**3 - 2*i - 20068
What is the first derivative of 535329*m + 680069?
535329
Find the third derivative of -394171*b**3*n**4 - b**3*n**3 - b**3 - 375277*b**2*n**2 wrt n.
-9460104*b**3*n - 6*b**3
Find the first derivative of 261960*k - 259215 wrt k.
261960
Find the third derivative of 591*t**6 - 23*t**4 + t**3 + 3461*t**2 + 4 wrt t.
70920*t**3 - 552*t + 6
Find the third derivative of -39495*b**2*r*x**3 - 3*b**2*x**6 + 127*b**2*x**2 + 15*b*x**2 + 3*r*x wrt x.
-236970*b**2*r - 360*b**2*x**3
Find the third derivative of -2500085*n**4*t**2 - 4*n**2 + 146970*n*t**2 wrt n.
-60002040*n*t**2
Find the first derivative of 2*y*z**4 + 180*y*z**2 - 38*y*z - 2145*y - 28 wrt z.
8*y*z**3 + 360*y*z - 38*y
Differentiate 60266*w + 48431 wrt w.
60266
Find the second derivative of 39454*r**4 + 4*r - 3896 wrt r.
473448*r**2
What is the second derivative of -15577*l**3 + 11*l**2*w - 7*l*w - 451*w + 13 wrt l?
-93462*l + 22*w
Differentiate 60209*f*o + 1775*f + 23 with respect to o.
60209*f
Differentiate 65*c*i - 30*c - 29*i + 2373 wrt c.
65*i - 30
Find the third derivative of -c**3*p**6 + 79153*c**3*p**3 + 1324*c**3*p - 21*c*p**2 wrt p.
-120*c**3*p**3 + 474918*c**3
Find the second derivative of -1642*w**5*z**3 - 12*w**2*z**3 + 74*w*z**3 - 2*w - 3*z**3 + 3 wrt w.
-32840*w**3*z**3 - 24*z**3
What is the second derivative of 2*f**3*m**3 - 6202*f**3*m + f**2*m**2 - 27*f*m - 54*m**3 - 8*m**2 wrt f?
12*f*m**3 - 37212*f*m + 2*m**2
Find the second derivative of 2*b**3*r + b**2*r**2 + 38738*b**2*t**3 + 6*b*r**2*t**3 + 605*b*r*t**2 - 2*r**2 wrt b.
12*b*r + 2*r**2 + 77476*t**3
What is the second derivative of -5555*y**4 - 2*y**3 + 2*y + 47800 wrt y?
-66660*y**2 - 12*y
What is the derivative of 81*v*y**2 + 156*v*y - y**2 + 2*y - 11667 wrt v?
81*y**2 + 156*y
What is the third derivative of 88400*v**4 + 2*v**3 - 13*v**2 - 987*v?
2121600*v + 12
What is the second derivative of 155*j**3*w**2*y - 148*j**3*w*y - 3*j*w**2 + j*w*y + w**2*y - 1647*w**2 wrt j?
930*j*w**2*y - 888*j*w*y
Differentiate 1011641*j**2 + 107849 with respect to j.
2023282*j
What is the third derivative of -470948*a**3 - 2*a**2 + 466280 wrt a?
-2825688
What is the derivative of -19*k**3 - 2079*k - 119672?
-57*k**2 - 2079
Find the second derivative of -m**4 - 74525*m**3 - m**2 - 89252*m wrt m.
-12*m**2 - 447150*m - 2
What is the second derivative of -114991*k**5 - 3841*k + 1?
-2299820*k**3
Find the first derivative of -8924*w**2 + w + 19061 wrt w.
-17848*w + 1
What is the second derivative of 323407*n**3 - 103849*n + 2?
1940442*n
Find the third derivative of 44750*f**4 + 3*f**2 + 2711*f wrt f.
1074000*f
Find the third derivative of -3807863*h**3 + h**2 - 49*h - 4663 wrt h.
-22847178
What is the third derivative of 14*m**5 - 2*m**4 - 799*m**3 - m**2 - 6*m - 174277 wrt m?
840*m**2 - 48*m - 4794
What is the derivative of -33809*t**4 - 21979?
-135236*t**3
What is the first derivative of 59825*f**4*p**2 - 5*f**2*p + 108*p**2 - p + 307 wrt f?
239300*f**3*p**2 - 10*f*p
What is the first derivative of -34*k**2*r**2 + 18979*k**2*r + 505280*r**2 wrt k?
-68*k*r**2 + 37958*k*r
What is the derivative of -178671*z + 63200 wrt z?
-178671
What is the derivative of 183*j**2 + 100*j - 100374 wrt j?
366*j + 100
Find the second derivative of -175211*m**4*r + m**3 + 4*m + 3192*r - 1 wrt m.
-2102532*m**2*r + 6*m
What is the first derivative of -786*d*f - 174*d*g**2 + d - f*g - 13*f - 2*g**2 - 6*g + 2 wrt g?
-348*d*g - f - 4*g - 6
What is the third derivative of -l**5 + l**4 + 2362*l**3 + 4384*l**2 - 1 wrt l?
-60*l**2 + 24*l + 14172
What is the second derivative of 2*d**5 - 42056*d**4 - d**2 + 417658*d wrt d?
40*d**3 - 504672*d**2 - 2
Find the second derivative of 2*n**3 - 17529*n**2 - 324*n - 13 wrt n.
12*n - 35058
Differentiate 3655*d*k**2*l + d*k**2 - 1118*d*l - 10*d + 11*k with respect to k.
7310*d*k*l + 2*d*k + 11
What is the second derivative of 131118*k**2 - 220234*k wrt k?
262236
What is the second derivative of -639982*y**2 + 348663*y - 8?
-1279964
Find the second derivative of -31905*w**3 + 69*w - 2.
-191430*w
What is the derivative of 4695178*f + 3202331 wrt f?
4695178
Find the third derivative of -321707*m**3 - 644422*m**2.
-1930242
Differentiate 1351*m**2 - 9*m + 1592545 wrt m.
2702*m - 9
What is the derivative of -295136*j**2 + j - 302738 wrt j?
-590272*j + 1
What is the second derivative of -598261*q*z**2 + 52*q*z + 546*z wrt z?
-1196522*q
What is the third derivative of -951*t**3*v*w + 133*t**3*v - 5*t**2*v*w - 2*v*w + 2*v + 242*w wrt t?
-5706*v*w + 798*v
Find the first derivative of 117*n**3 + 10*n**2 + 46*n - 123364.
351*n**2 + 20*n + 46
Find the third derivative of 2*q**4*r + 76*q**4 - 6*q**3*r + 5*q**3 + 227*q**2*r - 12*q**2 - 13*q*r - q + r wrt q.
48*q*r + 1824*q - 36*r + 30
What is the third derivative of -1558*c**2*f**3 + 22909*c**2*f**2*w + 2*c**2*f - 35*f**3*w + f*w wrt f?
-9348*c**2 - 210*w
What is the third derivative of 377163*q**3 - 849*q**2 + 165*q - 3?
2262978
Find the third derivative of 293897*j**2*y**5 + 7*j**2 - 2*j*y**2 - 5217*y**2 wrt y.
17633820*j**2*y**2
Find the second derivative of 40073*c*r**2 - 15*c*r + 25*c + r**2 + 21*r + 1 wrt r.
80146*c + 2
Find the first derivative of 455796*f + 1546547.
455796
Find the third derivative of 8660*c**5 + 540*c**2 + 19.
519600*c**2
What is the derivative of -280093*p + 264634?
-280093
Find the third derivative of 68627*d**5 - 27151*d**2 wrt d.
4117620*d**2
Find the first derivative of 76786*l**2 - 96533.
153572*l
Find the third derivative of -559*d**3*f**3 + 4*d**3*f - 11*d**3 - 11*d**2 + d*f**2 + 2*d + 362*f**3 wrt f.
-3354*d**3 + 2172
Differentiate 2*s*z**4 - 230*s*z - 29615*s - z**3 wrt z.
8*s*z**3 - 230*s - 3*z**2
What is the derivative of 232*a**2 + 1885*a - 1746046 wrt a?
464*a + 1885
Find the second derivative of 57827*f**5 - 27907*f wrt f.
1156540*f**3
What is the derivative of 85*b**2*w + 48405*b**2 + 4*b*w + 4*w wrt w?
85*b**2 + 4*b + 4
What is the third derivative of 22762*b**3*t*v + b**2*t - b**2 - 208*b*v - 2*t*v - v wrt b?
136572*t*v
What is the derivative of -32*u**2 + 291*u + 32307?
-64*u + 291
What is the second derivative of 12641*d*i**5 - 27*d*i**2 + 47*d*i + 4*d + 2549*i - 2 wrt i?
252820*d*i**3 - 54*d
Find the third derivative of -2*m**5 - 3629*m**3 + 2*m**2 + 162*m + 15.
-120*m**2 - 21774
Differentiate 2*f**4 - f**3 - 2*f**2 + 21288*f - 99927.
8*f**3 - 3*f**2 - 4*f + 21288
Find the third derivative of -7*h**2*s - 2*h**2*u**3 - 38154*h*s*u**3 - 2*h*s*u + 449*s*u**2 wrt u.
-12*h**2 - 228924*h*s
Find the third derivative of -3985159*x**4 - 2724320*x**2 wrt x.
-95643816*x
What is the second derivative of 4973877*k**2 + 2737406*k?
9947754
Find the second derivative of 97*c**2*r**3*x + 2*c**2*r**3 + 15*c**2*r*x**2 - c**2 - 7735*c*r**3*x**2 - 2*c*r**2 - 5*c*x - 2*r**3 wrt x.
30*c**2*r - 15470*c*r**3
Differentiate 2*i**2 + 17102*i
|
{
"pile_set_name": "DM Mathematics"
}
|
609*d + 2360609*d.
8*d**2
Collect the terms in 2*c - 5 - 6 + 14 - 18*c + 1.
-16*c + 4
Collect the terms in 10 - 78*y**2 + 4 - 2 - 8.
-78*y**2 + 4
Collect the terms in 1202 - 1202 + 3553*y**2.
3553*y**2
Collect the terms in 70*g**2 + 71*g**2 - 208*g**2 + 66*g**2 + 1744*g.
-g**2 + 1744*g
Collect the terms in 4427*p**3 + 2*p - 2*p - 4490*p**3.
-63*p**3
Collect the terms in -9*h**2 - 91 - h**2 + 14*h**2 + 91.
4*h**2
Collect the terms in 149*m + 173*m - 490*m + 8*m**3 + 168*m.
8*m**3
Collect the terms in -7285*r - 6700*r + 1 + 4838*r.
-9147*r + 1
Collect the terms in -89*s**3 + 288*s**3 - 51*s**3 - 25*s**3 - 2*s - 25*s**3.
98*s**3 - 2*s
Collect the terms in 44*k + 13*k - 11*k**2 + 38*k + 42*k - 137*k.
-11*k**2
Collect the terms in 36*q**3 - 30 + 117*q**3 + 30.
153*q**3
Collect the terms in -7*x + 40*x**2 - 5*x + 358*x**2 + 12*x.
398*x**2
Collect the terms in 9 - 9 + 196*t + 186*t - 391*t.
-9*t
Collect the terms in 5*u**3 - 40*u**3 - 60*u**3.
-95*u**3
Collect the terms in k + 2583*k**3 - k + 2*k - 3*k + 2579*k**3 - 5138*k**3.
24*k**3 - k
Collect the terms in 2*l**3 - 5*l - 30*l**3 + 5*l**3 + 6*l**3 - 12*l.
-17*l**3 - 17*l
Collect the terms in 5*g + 788 - 788 + 25*g - g.
29*g
Collect the terms in 12*v - 4*v + 16*v - 29*v + 10*v.
5*v
Collect the terms in -17*a**2 - 50 - 3*a**2 + 3*a**2 + 9*a**2.
-8*a**2 - 50
Collect the terms in 4854003 - 221*k**3 - 4854003.
-221*k**3
Collect the terms in c**3 + 154778*c - 77373*c - 77405*c.
c**3
Collect the terms in -1 + 1 - 156*a - 175*a.
-331*a
Collect the terms in 20924*a**3 + 20926*a**3 - 41852*a**3.
-2*a**3
Collect the terms in 1 - 119*v - 1 + 202*v - 88*v.
-5*v
Collect the terms in 164*j**2 + 163*j**2 - 327*j**2 - 4*j**3.
-4*j**3
Collect the terms in 17925*m**2 + 2*m**3 + 17924*m**2 + 17922*m**2 - 53771*m**2.
2*m**3
Collect the terms in 0*c + 82699*c**3 - 82666*c**3 + 0*c.
33*c**3
Collect the terms in 1915*w**2 + 1 + 0 - 1930*w**2 - 1.
-15*w**2
Collect the terms in -10512*l**3 + 22058*l**3 - 11539*l**3.
7*l**3
Collect the terms in 61108*l + 33500*l - 26167*l.
68441*l
Collect the terms in -114447204777 + 114447204777 - o**3.
-o**3
Collect the terms in 41*g**3 - 70*g**3 + 35*g**3.
6*g**3
Collect the terms in 29*l**3 - 35*l**3 - 13*l**3.
-19*l**3
Collect the terms in -2023*m**3 + 3063*m**3 - 1037*m**3.
3*m**3
Collect the terms in -838*a**3 + 109*a**3 - 400*a**3 + 189*a**3.
-940*a**3
Collect the terms in -2065*d + 465 - 465.
-2065*d
Collect the terms in -30*j**3 - 30*j**3 - 28*j**3 - 29*j**3 + 120*j**3.
3*j**3
Collect the terms in -2042*u**3 - 2*u**2 + 2*u**2 + 239*u**3.
-1803*u**3
Collect the terms in 2*u**3 - 6*u**3 + 4*u**3 - u**3 - 12*u**3.
-13*u**3
Collect the terms in -2 - 7 + 5 + 4*c**3 + c.
4*c**3 + c - 4
Collect the terms in -16 + 59 - 7*k + 9*k - 9*k.
-7*k + 43
Collect the terms in -28449 - 595 + 29044 + 2*u.
2*u
Collect the terms in x + 1484 - 1163 - 321.
x
Collect the terms in 1031*k**3 - 592 - 430 - 1032*k**3 - k**2.
-k**3 - k**2 - 1022
Collect the terms in -14*f + 110 - 256 + 146 + 12*f.
-2*f
Collect the terms in 668*o + 1 - 21*o**2 + 649*o - 1317*o.
-21*o**2 + 1
Collect the terms in 4*l + 5*l - 4*l - 35 - l - 12*l.
-8*l - 35
Collect the terms in 125 - 237 + 114 - 526*l**2.
-526*l**2 + 2
Collect the terms in 26571*u**2 - 53145*u**2 + 26567*u**2.
-7*u**2
Collect the terms in 2*p**2 - 278*p + 88*p + 190*p.
2*p**2
Collect the terms in 281*h - 2317*h + 0 + 0 + 2041*h.
5*h
Collect the terms in -3159 + 1290*k**3 + 3159.
1290*k**3
Collect the terms in 732 + 7*n**2 - 469 - 10*n**2 - 263.
-3*n**2
Collect the terms in -208*q - 129*q + 19*q**2 - 8*q**2.
11*q**2 - 337*q
Collect the terms in -4 - 4 + 183*u + 8 + 17*u.
200*u
Collect the terms in -101*x**2 - 115*x**2 + 5*x**3 - 171*x**2 - 13*x**3.
-8*x**3 - 387*x**2
Collect the terms in -24*q**2 - 11*q - 21*q**2 + 62*q**2.
17*q**2 - 11*q
Collect the terms in -30 + 551*k + 358*k + 13 + 12 + 6.
909*k + 1
Collect the terms in 1076*o**3 - 6283*o**3 - 835*o**3.
-6042*o**3
Collect the terms in -2143*x - 5 + 3 - 1559*x.
-3702*x - 2
Collect the terms in -2*s - 42101600 + 42101600.
-2*s
Collect the terms in -a**2 - a**2 + 4*a**2 - 2*a**2 - 1790*a**3.
-1790*a**3
Collect the terms in -82*g + g**3 - 6*g**3 + 10*g**3 + 84*g + 0*g**3.
5*g**3 + 2*g
Collect the terms in -1852 + 5576 - 7*h - 1859 - 1865.
-7*h
Collect the terms in -112*n**3 + 316*n**3 - 106*n**3 - 102*n**3.
-4*n**3
Collect the terms in 2 - 121*k - 140*k - 163*k.
-424*k + 2
Collect the terms in h + 15*h + 15*h - 30*h.
h
Collect the terms in -500*c**3 - 595*c**3 + 1714*c**3 - 607*c**3.
12*c**3
Collect the terms in -9*t**3 - 15*t**3 - 62*t**2 + 33*t**2 + 29*t**2.
-24*t**3
Collect the terms in -7 + 24*t + 6 + 0 - 2.
24*t - 3
Collect the terms in -3 - 9131*b + 0 + 3.
-9131*b
Collect the terms in -130969*q + 65442*q + 65531*q.
4*q
Collect the terms in 649291*z - 1298519*z - 5*z**3 + 3*z**3 + 649228*z.
-2*z**3
Collect the terms in -16*x**2 - 50111*x**3 + 50108*x**3 + 2*x**2 + 14*x**2.
-3*x**3
Collect the terms in 30*p + 33*p - p**2 + 27*p + 40*p - 117*p.
-p**2 + 13*p
Collect the terms in -5857*z**2 + 1850*z**2 + 4009*z**2.
2*z**2
Collect the terms in 55*t - 1 - 1383*t - 2*t**2 - 926*t.
-2*t**2 - 2254*t - 1
Collect the terms in 39*r**3 + 110*r - 227*r + 117*r.
39*r**3
Collect the terms in 29*h + 3*h + 6*h + 52*h - 14*h.
76*h
Collect the terms in -3*j - 5674 + 5674.
-3*j
Collect the terms in 18*h + 34*h - 11*h + 193*h**2.
193*h**2 + 41*h
Collect the terms in -60 + 792*i**2 + 44 + 16.
792*i**2
Collect the terms in 5*l + 68*l - 4*l**2 + 24*l + l**2.
-3*l**2 + 97*l
Collect the terms in -1066*w + 3062*w - 1015*w - 1055*w.
-74*w
Collect the terms in 14*t**2 + 584*t - 1039*t + 455*t.
14*t**2
Collect the terms in -3 + 2201*l + 2359*l + 4.
4560*l + 1
Collect the terms in -1689*z - 2690*z - 1151*z.
-5530*z
Collect the terms in 292*i - 594*i + 323*i.
21*i
Collect the terms in 786*v**3 - 160*v**3 - 161*v**3 - 147*v**3 - 145*v**3 - 157*v**3.
16*v**3
Collect the terms in -8125*w**3 + 16252*w**3 - 8125*w**3.
2*w**3
Collect the terms in 97*l**3 - 73*l**3 - 193*l**3 - 240*l**3.
-409*l**3
Collect the terms in 20907 - 6971 - 3*y**2 - 6973 - 6963.
-3*y**2
Collect the terms in 0*b - 5784*b**3 + 5585*b**3 + 0*b.
-199*b**3
Collect the terms in 0 + 127004*q + 1 - 254003*q - 1 + 127002*q.
3*q
Collect the terms in 3 + 7122*q**3 - 7091*q**3 - 3.
31*q**3
Collect the terms in -2*m + 510*m - 345*m**2 + 346*m**2.
m**2 + 508*m
Collect the terms in -39*q + 168*q + 3*q + 6*q - 7*q.
131*q
Collect the terms in 1225 - 23163*n - 1225.
-23163*n
Collect the terms in -712*h**2 + 2 - 2 + 5294*h**2.
4582*h**2
Collect the terms in -30*x**2 + 20*x**2 + 16*x**2 + 252*x - 152*x - 143*x.
6*x**2 - 43*x
Collect the terms in -4594*d**3 - 8744*d**3 + 5789*d**3 - 5047*d**3.
-12596*d**3
Collect the terms in 55 - 16 + 269*o - 19 - 19.
269*o + 1
Collect the terms in -1212239 + 1212239 + 3*c**3.
3*c**3
Collect the terms in 6927 - 3464 + 19*q - 3463 - 7*q.
12*q
Collect the terms in -11076*y - 16884*y + 27961*y.
y
Collect the terms in 202*d**3 + 346*d**3 - 242*d**3 + 751*d**3.
1057*d**3
Collect the terms in 2*o + 242 - 8*o + 3*o.
-3*o + 242
Collect the terms in 59*h**3 - 783*h - 55*h**3 + 1618*h - 835*h.
4*h**3
Collect the terms in 15 + 4 + 2*p + 51 + 9.
2*p + 79
Collect the terms in 7*r + 12730 - 12730 - 2*r**3.
-2*r**3 + 7*r
Collect the terms in 8*j**2 - 2*j**2 + 7 - 40 + 35*j**2.
41*j**2 - 33
Collect the terms in 3671311 - 2*g - 3671311.
-2*g
Collect the terms in 2*f**2 - 348*f**3 + 613*f**3 - 256*f**3.
9*f**3 + 2*f**2
Collect the terms in -81 + 0*j**3 - 6*j**3 + 2*j**3 - 2*j + 4*j.
-4*j**3 + 2*j - 81
Collect the terms in 19*q**2 - 25840986*q + 25840986*q.
19*q**2
Collect the terms in 7*q + 15*q - 78 - 45*q + 19*q.
-4*q - 78
Collect the terms in h**3 + 15*h**2 - 3*h**3 + 256*h**2.
-2*h**3 + 271*h**2
Collect the terms in -1252*d**3 + 777*d**3 + 454*d**3.
-21*d**3
Collect the terms in t - 594 - t - 1570*t**3 + 1561*t**3 + 594.
-9*t**3
Collect the terms in -64*r + 5 - 4 - 26 - 66*r.
-130*r - 25
Collect the terms in -52*k - 40*k**2 + 22*k + 30*k - 125*k**2.
-165*k**2
Collect the terms in -5*n - 222*n - 29 + 29.
-227*n
Collect the terms in -99518*i**3 + 23245*i**3 - 1421*i**3.
-77694*i**3
Collect the terms in -7*m**3 - 40 + 103 + 2*m**3 - m**3.
-6*m**3 + 63
Collect the terms in -
|
{
"pile_set_name": "DM Mathematics"
}
|
e of (13 - 13)/(-5) - (-33)/(-55)?
-3/5
-1 + (1 - -2 - 0) - (-600)/75
10
What is the value of ((-10)/8)/(145 - 140) + 1?
3/4
Calculate ((-1)/5 + -1)/(30/100) - 12.
-16
Evaluate (-14)/(0 + 1) - (-24 + (10 - -13)).
-13
What is (-273220)/(-9272) - 34 - 9/(-2)?
-2/61
What is the value of 84/10 + (-62 - -5 - -48)?
-3/5
Evaluate (19 - (-1160)/(-60))*(11/(-1))/1.
11/3
(-10479)/(-499) + (-218)/12
17/6
What is the value of (40/(-1500)*20)/(4/(-5))?
2/3
What is the value of (-1008)/78 + 10 + (25/13 - 2)?
-3
Evaluate ((-3234)/99)/(0 + 6) + 5/1.
-4/9
What is ((-1)/(-4))/(905/1820 + (-150)/325)?
7
What is the value of (-15)/(-6) - (52/260)/((-2)/(-10))?
3/2
-5*-1*(-1 - 0*(-3 - -2))
-5
What is (-4 - 2 - -9)*(-14)/(-3)?
14
Calculate (-69 - -68)*4/10*165/(-6).
11
What is (161/14)/(-23) + (-3)/(-54)?
-4/9
33/(2 - (19 - 17 - -3))
-11
(-412)/36 - ((-35)/45 + 1/3)
-11
70/77 - 0/7
10/11
What is (1/(-2))/(6/(-24)*(-6)/(-57))?
19
What is the value of (50/(-100))/(-3*2/(-72))?
-6
2/(-6)*(-270)/306*-17
-5
Calculate -2 + 78/(-1 - -7) + -45.
-34
What is the value of (-18 + 12)*(3*5/855)/(-1)?
2/19
What is the value of -1*12/(-78) + ((-1186)/(-234) - 5)?
2/9
Calculate (2/5)/(((-2)/3)/((-30)/27)).
2/3
((-2)/5)/(1102/(-95) + 12)
-1
What is (20 - (-323)/(-17)) + -5?
-4
What is the value of (6/(-285))/(2/9*18/60)?
-6/19
Evaluate 42*11/(-11) + 24.
-18
What is 3/16 - (42/15 + (-2295)/900)?
-1/16
Calculate ((-2)/55)/(196/(-1470)).
3/11
What is 486/729*(4/30 - (-1524)/720)?
3/2
What is (-6)/24*72/(-99)?
2/11
-2 + 12/(-9) - -2*(-11)/(-66)
-3
What is the value of 32*52/(-208) - 90/(-11)?
2/11
(-4 - -32) + ((-91)/11 - (-78)/286)
20
Calculate (2779/(-9528))/(1/6).
-7/4
Evaluate 16 - -1 - 1462/85.
-1/5
Calculate ((-782)/51)/(-14 - (-176)/12).
-23
2/(-7) - (204/1190)/(2/90)
-8
Evaluate ((-2)/5)/(1794/(-3380) - (-1)/2).
13
Evaluate 15*3180/(-1200) + (-1)/4.
-40
((-98)/(-35))/(34/85)
7
What is the value of (((-8)/(-10))/(180/(-1350)))/2?
-3
What is 15/4*5451/18170?
9/8
Calculate 11/1 - (80 + -87).
18
Evaluate 6/(-28) + 20/(-40)*-1.
2/7
Evaluate (-2 - (-24)/6)*(6 - (16 + 1)).
-22
What is (90/(-25) - -2)*(-2)/8?
2/5
((-651)/1085)/(2/40)
-12
Calculate (21/14)/(11/22).
3
(-22)/(-14) - ((-2210)/(-260) - 26/4)
-3/7
Calculate (24 + 1400/(-60))/(-2 - (-9)/(-3)).
-2/15
Evaluate (-82362)/(-13764) + (-9)/((-12)/8 + 3).
-1/62
What is the value of -1*(25 - (-741)/(-26))?
7/2
Calculate (-123)/72 + (-12)/(-320)*10.
-4/3
What is the value of 1360/2210*(-4 - (-57)/12)?
6/13
Evaluate (-10)/4*(-84 - (31 + -117)).
-5
What is (22/(-2*1))/((28 - 18)/10)?
-11
What is 114/(-152) - 265/20?
-14
Calculate (12*81/540)/(1/(-5)).
-9
((22/165)/((-2)/(-10)))/((-112)/168)
-1
Evaluate (-15)/2*(-128)/(-320).
-3
What is the value of (-5 - (265/(-35) + 3)) + (-52)/(-105)?
1/15
Calculate (4 - 12/(-18))*435/(-1450).
-7/5
What is 14 + (8 - 6) - 16?
0
Calculate ((-16)/(-24) - (-20)/15)/(-8).
-1/4
((-27)/(-63) - 50/35)*16
-16
What is the value of (3342/36762)/((-10)/(-44))?
2/5
What is 5/(375/(-256))*-5 + 60/(-900)?
17
What is (-7)/(((-100)/(-8))/25)?
-14
What is (-160)/112 - 7 - -8?
-3/7
Evaluate (12*(3*56/48 + -3))/(-2).
-3
Evaluate (152/(-12))/(-4 - (-170)/51).
19
What is the value of ((-6)/(-94))/((2/11)/(368/3036))?
2/47
What is the value of (-43)/(3440/192)*(-15)/(-2)?
-18
Calculate ((-4)/30*9 - -2)*(-450)/30.
-12
(-3)/12 + 154/(-56)
-3
170/(-15) - (-3 - 9)
2/3
-2*(9/7 - 86/301)
-2
(2 - (6 + -10))*-2
-12
Evaluate -11*(-3)/(-18) - (8 - 343/42).
-5/3
What is (-4)/138 - (-549576)/21114?
26
Calculate 3*((-187)/165)/17.
-1/5
What is 4/(-9)*(804/24 + -20)?
-6
(1947/66 + -30)*28/1
-14
158/51 + (-1480)/(-6290)
10/3
What is 90/2475 - (-1048)/7480?
3/17
What is the value of ((-6)/45 - 0) + (43 - 241472/5610)?
-3/17
Evaluate (2880/(-21))/8 + (65/35)/13.
-17
Evaluate (-4 - 1) + (-3)/6 + 3/2.
-4
What is the value of 72*64/24192*(-14)/(-4)?
2/3
Evaluate 3/2 + 218855/(-142450).
-2/55
What is the value of (-102)/170 + (-40)/75*(-24)/32?
-1/5
What is 30/4*(-47)/(-1175)?
3/10
What is 9/(-133) - (-20)/95?
1/7
What is (3975/(-12))/(-53) - 10?
-15/4
(5 - -1) + 84/(-5 + -9)
0
Calculate 3 - ((-32)/(-88) + 9 + (-855)/(-99)).
-15
What is the value of (9/(-45))/((-1)/(20/(-16)))?
-1/4
459/(-3927)*(-22)/12
3/14
What is the value of 680/884*(-1 - 12)?
-10
What is the value of 1 + -3 - ((-26307)/(-162))/(-79)?
1/18
(-10 - -24) + -9 + (-57)/6 + 3
-3/2
Calculate ((-9)/6)/(75/10 + -6).
-1
Calculate (936/60 - 16)*(0 + (-9)/(-6)).
-3/5
Calculate ((-923)/(-78) - 12)*-4*-36.
-24
Calculate (140/(-245))/(264/28).
-2/33
What is 15/(-1) - -21 - 1*-2?
8
What is 95*(5/25)/(23/(-46))?
-38
What is the value of (-924)/(-114) - (-5 - (-10 - 3))?
2/19
70/210*6*(-22)/(-8) + -6
-1/2
Evaluate 684/513*(0 - 18).
-24
Evaluate (-320)/64*2/10.
-1
What is 0 + (-3)/(-18) - 42/7524*11?
2/19
Evaluate 3*((-65)/((-64350)/(-27)))/(18/(-8)).
2/55
Calculate (1*(-6 + 3))/(((-1)/1)/(-1)).
-3
What is -26 - (-11*(-56)/154 + -12)?
-18
What is the value of (-8 + 14)*-11*(-10)/60?
11
Calculate 11 + (5 - (5 - 14))/(-2).
4
Evaluate 0 + 4/(-18) + 740/(-24840)*-6.
-1/23
What is (8 - -2) + (10/(-45)*9)/(-2)?
11
What is -10 + 17 - (-1)/1*-5?
2
What is 68/306 + ((-318)/(-27))/1?
12
1359/960 + (-107)/6848
7/5
-7 + (40/(-1360)*-17)/(1/(-22))
-18
Calculate (220/25 - 3)/((-24)/(-12 + -108)).
29
What is the value of (0 + -1)/((36456/310)/(-84))?
5/7
What is the value of 3*(2 - (-4 + 9)) - 3?
-12
(-68 + 67)*(0 + -5) - (-50)/(-14)
10/7
Calculate (8 - -21) + (-150)/10.
14
What is -13 + 5 + (2/2 - 1680/336)?
-12
-12 + 6 - 2*11/(-4)
-1/2
Calculate (-5)/(-6)*(2/1 - (-600)/(-250)).
-1/3
What is the value of 12/(-9)*252/56?
-6
Calculate ((-2)/6)/(84/(-2268)).
9
What is the value of -2*(17 + -6 + (-225)/30)?
-7
Calculate (-1)/2*476/1904.
-1/8
What is the value of (20/16)/(2/(-448)*-14)?
20
What is the value of 112/728 - (249/13 - -3)?
-22
What is -15 + 7 + (-33 - -36)*(-2)/(-6)?
-7
Evaluate (2/5)/((1 - 8)*364/(-260)).
2/49
What is the value of 320/(-54) + 6/(-81) - -8 - 8?
-6
((-9)/(-18))/((-9)/6) - (-55)/3
18
Evaluate (30/75)/((-127)/25 + 5).
-5
Evaluate ((-252)/20 - -13) + 42/15.
16/5
What is (32 + -34)*3/(-2)?
3
Evaluate (28/(-42) + 80/3)/2.
13
3 + 396/44 - -23
35
4*-7*3/294
-2/7
Calculate 1705/1023*12/(-10).
-2
Evaluate ((-26)/(-39))/(4 + (-424)/108).
9
(2 - 9 - -30) + -18
5
What is (-8)/(-10) + (-13869)/4830 - (-2)/(-4)?
-18/7
Evaluate (-424 - -432)*(-2)/(-16).
1
(-4678)/120 + 40 + (-6)/8
4/15
(-39)/((-2028)/920) + -18
-4/13
What is the value of (-27 + 0 - -14)*1?
-13
What is (-6)/((-252)/(-942)) + -8 + (-354)/(-42)?
-22
What is (-8)/(-5) - 2 - (-14)/10?
1
What is the value of (-630)/(-162)*(-6)/(-7)?
10/3
Evaluate 2050/(-9225)*6/16.
-1/12
What is (-4)/(-4) + (10/10)/2?
3/2
Calculate ((-4)/14 - 78/21) + 1833/429.
3/11
Calculate 10*((-11868)/(-25760) + (-3)/8).
6/7
((3/12)/(105/420))/((-1)/(-10))
10
What is the value of (-261)/(-702)*6 - (2 + 138/(-78))?
2
Evaluate 371/(-21)*-1 + 36/(-54).
17
What is the value of (-397)/4764 + (-109)/132?
-10/11
What is (-7)/(189/(-372)) + 4 + (-272)/72?
14
What is the value of (8/(-80))/(68/(-8840))?
13
What is 75/33 + (3 + 2 - (-6 + 13))?
3/11
Calculate ((-2)/(-40)*-3)/(2442/4070).
-1/4
Evaluate (-6)/(-1)*(70/(-3))/(-35).
4
Evaluate ((-4750)/456)/(-125)*(1 - 2/8).
1/16
Calculate ((-1442)/5047)/(-1 - 6/(-14)).
1/2
What is the value of (-5980)/(-78) + -91 + (-1)/((-6)/(-4))?
-15
What is the value of (-3 - (-102)/18)*(37/(-4) - -4)?
-14
Calculate -27 - 820/(-20) - -5.
19
What is the value of -37 + 5759/780*5?
-1/12
What is the value of (-1 - -2)/((-2)/(-7)) - 61/122?
3
What is 14/20*(4/(-28) + (-6)/14)?
-2/5
Evaluate (3/(-54))/((-37)/(-148)) - 46/36.
-3/2
Calculate ((-9)/33)/(192/(-128)).
2/11
4 - (-19 + -3) - 10
16
Calculate (-8 - (8 - 16)) + (-3 - 148/(-28)).
16/7
Evaluate (-6)/(-27) - (-2590)/(-5985)*19.
-8
Calculate (0 + (-1)/((-10)/(-24)))/(205/1025).
-12
What is the value of 10476/756 + 7*-2?
-1/7
Evaluate 136/18 - (-7871)/(-463) - -10.
5/9
What is the value of ((-3)/4)/((-7)/14*(-2)/(-12))?
9
What is the value of -17 - (-25)/2 - (-157)/34?
2/17
Evaluate (-111)/(-74)*(-3)/1.
-9/2
((-714)/(-98) - 7/1) + 141/21
7
What is (1 - (-23)/(-22))*((-2352)/490)/(-6)?
-2/55
36/(-2) + (5 - (-74 + 24))
37
Calculate 2/(-87)*(-203 + 200).
2/29
What is the value of (285/(-20))/(-19
|
{
"pile_set_name": "DM Mathematics"
}
|
o the nearest ten.
-660
Round -1.1236 to 2 decimal places.
-1.12
Round -121.035 to the nearest 10.
-120
What is 26.76 rounded to the nearest ten?
30
Round -361.7 to the nearest ten.
-360
Round 111.811 to the nearest ten.
110
What is -7.1 rounded to one decimal place?
-7.1
What is 3284 rounded to the nearest 1000?
3000
What is 1.102 rounded to 1 decimal place?
1.1
Round 185000 to the nearest 10000.
190000
What is -1392000 rounded to the nearest 1000000?
-1000000
What is -0.00694 rounded to three decimal places?
-0.007
What is -29.5 rounded to the nearest 10?
-30
What is -0.00125 rounded to four decimal places?
-0.0013
What is -0.00015129 rounded to 4 dps?
-0.0002
What is -12498300 rounded to the nearest one million?
-12000000
What is 0.0244259 rounded to three dps?
0.024
Round 0.000063665 to five decimal places.
0.00006
Round -0.00005895 to six decimal places.
-0.000059
Round 1361 to the nearest 100.
1400
Round 1.56108 to three dps.
1.561
Round 0.000005919 to 7 decimal places.
0.0000059
Round 0.007626 to 3 decimal places.
0.008
Round 18.3 to zero dps.
18
Round 59870 to the nearest 100.
59900
Round 1813200 to the nearest 100000.
1800000
Round 0.0000007482 to 7 decimal places.
0.0000007
Round 0.000674 to 4 dps.
0.0007
Round 7178000 to the nearest one hundred thousand.
7200000
Round -0.003428 to 3 decimal places.
-0.003
Round -0.0034333 to four decimal places.
-0.0034
What is -0.00014406 rounded to 7 dps?
-0.0001441
What is -26604 rounded to the nearest 100?
-26600
What is -1100.8 rounded to the nearest one hundred?
-1100
What is -0.000005845 rounded to seven decimal places?
-0.0000058
Round -7.254 to zero decimal places.
-7
What is -172450000 rounded to the nearest one million?
-172000000
What is -307650 rounded to the nearest 1000?
-308000
What is 2.32196 rounded to 0 decimal places?
2
What is 0.59308 rounded to 1 dp?
0.6
Round -379.936 to the nearest ten.
-380
What is -0.008903 rounded to three decimal places?
-0.009
Round -57490 to the nearest one thousand.
-57000
Round -332198 to the nearest 1000.
-332000
Round 3350000 to the nearest 1000000.
3000000
What is 7560 rounded to the nearest one hundred?
7600
What is 0.00185047 rounded to five dps?
0.00185
Round 584 to the nearest 100.
600
Round 47690 to the nearest 1000.
48000
What is -844200 rounded to the nearest one hundred thousand?
-800000
Round 0.000000544 to 7 decimal places.
0.0000005
Round 0.00181975 to four dps.
0.0018
Round -0.074393 to two decimal places.
-0.07
Round -7004000 to the nearest 10000.
-7000000
What is 5352000 rounded to the nearest one million?
5000000
Round 0.1514 to 2 dps.
0.15
Round -791.3 to the nearest 10.
-790
Round 468428 to the nearest one hundred thousand.
500000
Round -0.00597 to 3 dps.
-0.006
What is 49300 rounded to the nearest 10000?
50000
Round 0.00007023 to five decimal places.
0.00007
Round 0.000439446 to six dps.
0.000439
Round 0.000004416 to 7 decimal places.
0.0000044
Round 1476000 to the nearest 10000.
1480000
Round 0.7617 to 2 dps.
0.76
Round -0.0052605 to 3 dps.
-0.005
What is -343780 rounded to the nearest 100000?
-300000
Round 0.00479 to three dps.
0.005
Round 0.00000128057 to six decimal places.
0.000001
What is -10484 rounded to the nearest one hundred?
-10500
What is 621 rounded to the nearest 100?
600
Round -1.387 to 1 decimal place.
-1.4
What is 6.443 rounded to one decimal place?
6.4
What is 3632000 rounded to the nearest 1000000?
4000000
What is -52780000 rounded to the nearest one million?
-53000000
What is 4660.2 rounded to the nearest 100?
4700
Round 0.000049671 to 7 decimal places.
0.0000497
What is -0.000031998 rounded to 5 decimal places?
-0.00003
Round -1028.2 to the nearest 100.
-1000
What is 36600 rounded to the nearest 10000?
40000
Round -0.00756 to 4 dps.
-0.0076
Round -2370 to the nearest 1000.
-2000
Round -7577 to the nearest 1000.
-8000
What is -0.0000003681 rounded to 7 decimal places?
-0.0000004
What is 0.3696 rounded to 2 dps?
0.37
What is 80800000 rounded to the nearest 1000000?
81000000
Round -0.000618 to 4 decimal places.
-0.0006
What is -0.0003043 rounded to 5 decimal places?
-0.0003
What is 61.78 rounded to zero decimal places?
62
What is 3744600 rounded to the nearest one hundred thousand?
3700000
Round 9.872 to 1 decimal place.
9.9
What is -0.000191094 rounded to 6 decimal places?
-0.000191
What is 0.99578 rounded to 2 decimal places?
1
Round 0.18171 to one dp.
0.2
What is -1.454 rounded to two dps?
-1.45
What is -314.06 rounded to the nearest ten?
-310
What is 0.2396 rounded to two decimal places?
0.24
What is -8070 rounded to the nearest 1000?
-8000
What is 0.00000741 rounded to six decimal places?
0.000007
Round -0.6713 to one decimal place.
-0.7
What is -467 rounded to the nearest one thousand?
0
Round -48960 to the nearest 1000.
-49000
What is 12921 rounded to the nearest one thousand?
13000
What is -0.0644 rounded to 2 decimal places?
-0.06
Round 48070000 to the nearest one million.
48000000
Round 0.000471 to 4 decimal places.
0.0005
Round -0.0000491 to 5 dps.
-0.00005
What is 184344000 rounded to the nearest one million?
184000000
Round -0.000019118 to 6 dps.
-0.000019
Round -39334 to the nearest one hundred.
-39300
What is -0.2441 rounded to 2 decimal places?
-0.24
What is 162140000 rounded to the nearest one million?
162000000
What is 0.00006393 rounded to six dps?
0.000064
Round 0.00021807 to 5 dps.
0.00022
What is -7.098 rounded to zero decimal places?
-7
Round 176.12 to the nearest 10.
180
What is 30.472 rounded to the nearest 10?
30
Round 282400 to the nearest 100000.
300000
What is -0.0000023173 rounded to seven dps?
-0.0000023
Round 44923000 to the nearest 1000000.
45000000
Round 187 to the nearest one thousand.
0
Round 0.000126358 to five decimal places.
0.00013
What is 0.7922 rounded to one dp?
0.8
Round 1.081 to two dps.
1.08
What is -300.8 rounded to the nearest 100?
-300
What is 10.35 rounded to the nearest integer?
10
What is 0.00567 rounded to 4 decimal places?
0.0057
Round -271989000 to the nearest one million.
-272000000
What is 145100 rounded to the nearest 10000?
150000
What is 14730000 rounded to the nearest 100000?
14700000
Round -0.11703 to 2 decimal places.
-0.12
What is 0.09083 rounded to 3 decimal places?
0.091
Round -2041470 to the nearest one thousand.
-2041000
Round 45300 to the nearest 10000.
50000
Round -0.00000489 to six decimal places.
-0.000005
What is -890600 rounded to the nearest 100000?
-900000
Round -0.0007491 to five decimal places.
-0.00075
What is 2569260 rounded to the nearest one hundred thousand?
2600000
Round 1187300 to the nearest ten thousand.
1190000
Round -68459 to the nearest 10000.
-70000
What is 0.00008648 rounded to 6 dps?
0.000086
Round -0.000001066 to 6 dps.
-0.000001
What is 1973380 rounded to the nearest one hundred thousand?
2000000
Round 24860 to the nearest 10000.
20000
What is -0.0081 rounded to one decimal place?
0
What is 0.0456 rounded to three dps?
0.046
What is 26934000 rounded to the nearest 100000?
26900000
What is 76700000 rounded to the nearest 1000000?
77000000
Round 0.786 to 1 dp.
0.8
What is -15.07 rounded to one dp?
-15.1
What is 4520 rounded to the nearest one thousand?
5000
What is -1117000 rounded to the nearest one hundred thousand?
-1100000
What is 0.2384 rounded to two decimal places?
0.24
Round 118.992 to the nearest ten.
120
Round -41320 to the nearest ten thousand.
-40000
Round 0.008798 to four dps.
0.0088
What is -10400 rounded to the nearest 100000?
0
What is 291800 rounded to the nearest 10000?
290000
Round 32.62 to the nearest ten.
30
Round -0.000004786 to 6 decimal places.
-0.000005
Round -0.000914 to six decimal places.
-0.000914
Round 101800 to the nearest 100000.
100000
Round -3487580 to the nearest 1000000.
-3000000
Round 4.1278 to 1 dp.
4.1
What is -6.21594 rounded to one decimal place?
-6.2
What is -1610000 rounded to the nearest one hundred thousand?
-1600000
Round -0.000014352 to 6 dps.
-0.000014
What is 2978000 rounded to the nearest one hundred thousand?
3000000
Round 566.19 to 0 decimal places.
566
What is 0.00000064134 rounded to 7 dps?
0.0000006
What is -5.982 rounded to 1 decimal place?
-6
Round -37.18 to the nearest integer.
-37
What is -175.62 rounded to the nearest 10?
-180
Round 21738 to the nearest one
|
{
"pile_set_name": "DM Mathematics"
}
|
value in 0.068, n, 0.059?
0.059
Let z be ((-6)/(-126))/((-1)/2). Let a be 141/(-5)*(634/126 - 5). Let l = z - a. What is the smallest value in -4, l, -5, 1?
-5
Let z = -0.1815 + 0.2815. What is the second smallest value in -90, z, -1?
-1
Let n be (-1)/1 - (-18)/10. Let o be ((-6)/(-5))/((-404)/5050). Which is the second biggest value? (a) o (b) n (c) 1
b
Let k = -0.02 - 26.48. Let m = 23.5 + k. What is the smallest value in -4, 0.1, m, -1/2?
-4
Suppose 11087 = -23*u - 2643 + 1218. Which is the fourth biggest value? (a) u (b) -0.5 (c) -4 (d) -0.4
a
Let y = 0.1 - -0.9. Let n = -54.029 + 54. Let h = n + 0.229. Which is the third smallest value? (a) y (b) h (c) 17 (d) -1
a
Let r be (-180)/54*(-12)/10. Suppose 0 = -3*u + r*u - 8. Let t be (-14)/(-144) + u/(-36). What is the biggest value in t, 3, 4?
4
Let j be 40/12*(-3)/(-2). Let t = -68.6 + 68.54. Which is the biggest value? (a) t (b) -3/8 (c) j
c
Let w = 0.7 + 29.3. Let t = w - 30.3. Let s be (3 + -3)/(-3 - 0). Which is the second smallest value? (a) 4 (b) s (c) t
b
Let i = -501 + 357. Let d = i + 139. Let r = 329/51 - 19/3. Which is the biggest value? (a) r (b) d (c) 0.4
c
Let h be 28/14*(-5)/15. Let u = 6.8 + -7.3. Which is the fourth smallest value? (a) 1 (b) -0.1 (c) u (d) h
a
Let k(r) = 29*r - 854. Let n be k(0). Let x = n + 7696/9. What is the second biggest value in -1, x, -3, 11?
x
Let w = 81.28 - 81.58. Which is the smallest value? (a) 154 (b) -0.2 (c) w (d) -5
d
Let m = 2746 + -13726/5. Let l be (4 + -1)*(-2)/10. What is the smallest value in m, 1/7, 1, l?
l
Let z = 51/923 + -1831385/2769. Let u = z - -661. Which is the biggest value? (a) u (b) 1/4 (c) 2/15 (d) 0.1
b
Suppose 18*m - 37*m = 23*m + 168. What is the fourth biggest value in 0.442, 1, -0.2, -2, m?
-2
Let q = 0.3 + -0.2. Let p = -14.081069 + 0.081069. What is the second biggest value in 2/5, q, p?
q
Suppose 78*u + 585 = 16*u - 55*u. What is the smallest value in -0.3, 0, -1, u, -3.5?
u
Let t be 1 - 0 - 251/324. Let p = 2/81 + t. Let l = -5.957 + 5.947. What is the second biggest value in -1/2, l, p?
l
Let n = -18931/255 - -371/5. Let f = n + -32/51. Which is the second smallest value? (a) f (b) 6/17 (c) -3
a
Let i = -541 + 345. Let p = 192 + i. What is the third biggest value in p, 2/7, -2/121?
p
Let f be 8/4 + (-18716)/8806. Let p = 2/259 + f. Which is the fourth smallest value? (a) -0.06 (b) p (c) -0.3 (d) 2
d
Let f = -731 - -731.08. Which is the second biggest value? (a) 4/5 (b) 5/3 (c) f
a
Let g = 2302 + -2304. Which is the smallest value? (a) g (b) -7 (c) 3 (d) -0.6
b
Let o be (-1 + -1)/((-6)/10). Let y = 0.1464 + -5.1464. Let z = -25 + 27. What is the fourth smallest value in y, z, -0.3, o?
o
Let l = 9347 + -9319. Let x = 3.06 + -0.06. Which is the third smallest value? (a) -0.4 (b) x (c) l (d) 0.1
b
Let h = 0.1 + -0.1. Let k = 495 - 282. Let x = 213.3 - k. What is the third biggest value in -4, x, -5, h?
-4
Let r(n) = -2*n**3 + 15*n**2 - 13*n + 38. Let j be r(7). Let l = -5.2 - -1.7. Let p = 0.5 + l. What is the fourth smallest value in p, 2/15, -0.2, j?
2/15
Let b = 3548/8845 + -2/1769. Suppose 60 = -7*v + 2*v. Let h be 2/v - (-1)/2. What is the second smallest value in h, b, 0.1?
h
Let v be 9268/(-770) + (11 - (6 + -7)). What is the third biggest value in v, -0.8, 1/4, 0, -3/2?
v
Let h = 1376 + -1349. Let k = 22 - 47. Let n = k + h. What is the second smallest value in n, -3, 1/5?
1/5
Suppose 398 = -2*w + 126. Let g = -30092/3 + 60187/6. Which is the third biggest value? (a) g (b) w (c) 2/3
b
Let j(h) = -24*h - 79. Let v(a) = -100*a - 317. Let w(y) = -9*j(y) + 2*v(y). Let d be w(-6). What is the biggest value in 2, d, -4?
2
Suppose 5*q + 2*o = -2546, -o - o = -4. Let k be (4/10)/(1/q*-3). Which is the third smallest value? (a) k (b) -0.4 (c) -1/6
a
Let s = 96.11 - 96.61. Which is the third smallest value? (a) 28 (b) s (c) -1 (d) -10 (e) -1/4
b
Let v = -21 - -139/7. What is the smallest value in 0.2, v, -3, 6?
-3
Let o be 184/183 - (-1)/(-1)*1. Let u = 4066.5 - 4066. Which is the second biggest value? (a) 3 (b) u (c) o
b
Let n be (-238)/(-34)*(-10)/(-14). Which is the second smallest value? (a) n (b) -189 (c) 0.4
c
Suppose 0 = -3*g + 4*m + 4, 3*m - 46 = 2*g - 12*g. What is the second biggest value in 4/5, g, -1.1, -84?
4/5
Let v = 1281 + -1280. What is the fifth biggest value in -4, v, -0.2, -13, -2?
-13
Suppose 4*j = -3*n - 5, 5*n + 15 = 3*j + n. Let g be j/(((-21)/18)/(-7)). Let t be (-30 - -9)/(9/g). What is the third smallest value in t, 0.1, 0.3?
0.3
Let z = 5.03215 + -0.03215. What is the second biggest value in -35, 1/4, z, 0.4?
0.4
Let u = 0.42 - 0.02. Let g = -1.4828 + 1.2828. Which is the second biggest value? (a) g (b) 5 (c) u (d) -17
c
Let c = 1988 - 1984. What is the third biggest value in -11, 2/5, c?
-11
Let k = -2.41 + -2.59. Let o = 3.5 - 0.5. Which is the second biggest value? (a) -2/7 (b) o (c) k
a
Let j = 4172 + -4172.5. Let y = -69.87 - -69. Which is the third biggest value? (a) 0 (b) j (c) -5 (d) y
d
Let k(v) = 5*v**3 - v**2 + v + 1. Let c be k(-1). Let q = -525 - -515. What is the fourth biggest value in q, -5, c, -0.3?
q
Let m = -7058 + 91752/13. What is the fourth biggest value in -0.4, -0.3, 10, m?
-0.4
Let q = 6024 - 6024.4. What is the fifth biggest value in 2/15, q, -95, 5, -2/9?
-95
Let o = 90.4846 - 90.3846. Let u = -8 - -3. What is the second smallest value in o, 5, u, 27?
o
Let i = 2 - 2. Let y be (-3)/2*8/30. Let g = 3/208 + 95/624. Which is the third biggest value? (a) i (b) -2/21 (c) y (d) g
b
Let j = 2.5 - 3. Let s = 24175/51 - 474. What is the second smallest value in -0.3, s, j?
-0.3
Let f = 260 + -260.1. Which is the fourth biggest value? (a) f (b) 1/2 (c) -7 (d) -0.2
c
Let n = 462.4 + -462.7. Which is the second smallest value? (a) -1/3 (b) n (c) -0.168
b
Let f be (-6)/15 - 14/(-10). Let k = -99.22 - -99.3. Let w = -4.8 + 5. What is the smallest value in f, k, w, -1/2?
-1/2
Let x be 10 + 7 + -14 - 2101/693. What is the second biggest value in 2, x, -9?
x
Let u = 51 + -305/6. Let v = -1478.5 + 1479. Let n = 17 - 19. Which is the biggest value? (a) v (b) n (c) 8/3 (d) u
c
Let o = -2955 - -2954. What is the second smallest value in -39, -2/5, o, 2?
o
Let t be (1 + 3/15)*5. Let o be 2378/(-820) - (0 - 0 - (-12)/(-8)). Which is the smallest value? (a) -3 (b) t (c) o
a
Let j = -7912 + 7911. Which is the biggest value? (a) -2 (b) -0.165 (c) j
b
Let g = 39519 + -39528. Let x = 0.08 + 0.22. Which is the second smallest value? (a) x (b) -1/2 (c) g (d) 1
b
Let i = 8381 + -8375. Let z = -6 + 11. What is the fourth smallest value in 4, 0.5, z, i?
i
Suppose t = 3*t - 4. Let d = 2/481 + -18767/1924. Which is the smallest value? (a) t (b) d (c) 0.1
b
Let l = -66 + 460/7. Let f = -899/3564 - -2/891. Which is the third smallest value? (a) -1 (b) 2 (c) f (d) l
c
Let w = 32.58 - 15.37. Let g = 0.21 - w. Let u = g - -16.7. Which is the third biggest value? (a) u (b) -2 (c) 2/5
b
Suppose -2*j - 45*j + 102 = 55*j. Which is the fourth smallest value? (a) -3/7 (b) -3 (c) -2 (d) -0.147 (e) j
d
Let m = 0.0917 + -533.0917. Let f = -18.5 - -20.5. Which is the third smallest value? (a) f (b) -3/5 (c) m
a
Let g = 333.7 + -334. Let d = 0.319 + 4.681. What is the second smallest value in g, d, 13?
d
Let a be ((-96)/(-8))/24*4. Let t = 53/5 - 54/5. Let c = -29 - -30. What is the fourth smallest value in a, c, t, 0.2?
a
Let l be 6*(25/10 - 1). Suppose -3*j + 21 - l = 0. Let z be 4 + (3 - j)*1. Which is the second smallest value? (a) -0.7 (b) z (c) -0.2
c
Let l = -249 + 388. Let d = l - 137. What is the fourth smallest value in -0.17, d, -5, 4?
4
Let l = -15682 + 15677. Which is the third smallest value? (a) 3 (b) 2/5 (c) 5 (d) l (e) -5/3
b
Suppose 3*j + 5*b = 4*j - 34, -j = -4*b - 27. What is the second biggest value in -5, j, -0.097, -0.3, -1/4?
-1/4
Suppose 73*x + 774 + 1416 = 0. Which is the third biggest value? (a) x (b) -3/16 (c) 0.1
a
Let g = 1143/2 + -630. Suppose -5*o - 189 = 2*p + p, 235 = -4*p - o. Let l = p - g. Which is the biggest value? (a) 0.2 (b) -0.1 (c) -3 (d) l
d
Suppose 0 = -88*x + 85*x + 54. Let i be (2/x)/(((-18)/12)/(-3)). What is the smallest value i
|
{
"pile_set_name": "DM Mathematics"
}
|
4. Let j = 2.4 + 0.6. Let g = -4.4 - -4. What is the second biggest value in j, s, g?
g
Let c = 0.5 + 3.5. Let r = 0.17 - 0.37. What is the smallest value in r, c, 0.1?
r
Let v = 15 + -10. Let i be ((-2)/(-6))/((-10)/12). What is the third biggest value in -1/7, i, v?
i
Let o = 0.03 - 0.43. Which is the second smallest value? (a) 4 (b) 10 (c) o
a
Let y = -11273/3 - -80246/21. Let w = -64 + y. Which is the second biggest value? (a) w (b) 0 (c) -2/11
c
Let i = 6.5 + 1.5. Let j = i - 7.6. Which is the second biggest value? (a) j (b) 1 (c) -0.3
a
Let l be 10/2*(-4)/(-10). Let n be 19/36 - 2/(-8). Let d = n + -101/153. Which is the second smallest value? (a) l (b) d (c) -0.1
b
Let z = -4.7 + 5. Let w = 0 + 3. Let f = -1 - w. Which is the second biggest value? (a) 0 (b) z (c) f
a
Let s be (-1)/3*18/10. What is the third smallest value in 0.4, 3, s?
3
Suppose -4*n = -3*q + 10, -3*q + 4*n = -5*q. Which is the second biggest value? (a) -2/9 (b) q (c) 5/4
c
Let b = 22.8 - 23. What is the smallest value in 2, b, 2/17?
b
Let x = -63 + 60.1. Let z = x - -3. What is the third biggest value in -0.5, 0.4, z?
-0.5
Let n = 0.1 + 0.9. Let f = 3 + -7. Let p = 9 + f. What is the biggest value in n, 4, p?
p
Let l = 1144/7 + -163. Let m be (-8)/6*(3 + 15/(-4)). Which is the second biggest value? (a) l (b) m (c) 7
b
Let w = -6.1 + 3.1. What is the third biggest value in -26, -0.3, w?
-26
Let v = -0.19 + 12.19. Let a = v + -8. What is the second biggest value in a, -2, -4/3?
-4/3
Let x be (-6)/(-14)*4/6. Let f = -0.2 - 0.8. Which is the second smallest value? (a) x (b) 2 (c) f
a
Let k = -6 + 14. Let f = k + -9. Which is the third smallest value? (a) 2/13 (b) f (c) -5
a
Suppose 0 = -3*n - n + 8. Let w = -0.38 + -0.02. What is the third biggest value in n, w, -3?
-3
Let l be 19/4 + -3 + -1. Let q = -7 + 3. What is the third biggest value in -2/7, l, q?
q
Let j = -0.19 + 0.39. Let i = j - -1.8. Let k be 2/8*-5 - -1. What is the third biggest value in i, 1/3, k?
k
Let k = -652/3707 - 2/337. Which is the fourth smallest value? (a) -12 (b) 3 (c) 0.1 (d) k
b
Let p = 0.32 - 3.42. Let r = -3 - -3.1. Let o = p + r. Which is the biggest value? (a) o (b) -5 (c) -0.4
c
Let j = 3 - 0. Let y = -1.5 - -0.7. Let t = y + 1. Which is the third biggest value? (a) t (b) j (c) -0.4
c
Let x be 12/8*(8/12 - 1). Which is the third smallest value? (a) -3 (b) 0 (c) x (d) 10
b
Let r = 3.86 - -0.14. What is the third smallest value in 3, -9, r?
r
Let m = -57 - -53. Which is the third smallest value? (a) -1 (b) m (c) 8
c
Let p = 0.004 - -3.296. Let k = p - 3. Let s = -2.1 + 0.1. Which is the smallest value? (a) s (b) 6/5 (c) k
a
Let p(j) = j**2 + 2*j. Let g be p(-3). Let x = 8 - 11. Let w = x - 0. What is the second biggest value in -1, g, w?
-1
Let u(t) = -t**3 - 15*t**2 + 4. Let a be u(-15). Let y be (3/9)/(a/2). What is the third smallest value in -5, 0.3, y?
0.3
Let n = -3 + 6. Let s be 2/(-1) - 3/1. Let f be s/(-12) + (-2)/(-6). Which is the smallest value? (a) n (b) f (c) -1/4
c
Let v(t) = -26*t - 1. Let f be v(1). Let q be (24/f)/4 + 0. What is the second biggest value in q, -2, 1/5?
q
Let p be (15/45)/(29/(-12)). Let i = p + 134/551. What is the smallest value in i, 2/11, -3/2?
-3/2
Let h(p) = p**3 - 3*p**2 - 5*p + 2. Let d be h(4). What is the third biggest value in -0.1, 0, d?
d
Let x = 24 - 17. Let q = 16.8 + -24.1. Let j = x + q. Which is the third smallest value? (a) j (b) 0.4 (c) 3
c
Let n = 0.14 - 2.34. Let x = -0.2 - n. Let w = 2.4 - x. Which is the smallest value? (a) 1/4 (b) 4/7 (c) w
a
Suppose -3*v = -0*v. What is the smallest value in v, 1, 3/5?
v
Let u = 22.3 + -22. Let i = -7 - -12. What is the third biggest value in i, u, -2/5?
-2/5
Let x = -0.07 - -0.04. Let v = 26 + -25.8. Which is the third smallest value? (a) 0.3 (b) v (c) x
a
Let w = -34 - -32. What is the second smallest value in 0.3, w, -3, 1?
w
Let u = 3.6 + -4. Let z = -2.7 + 3. Let x = z + -0.3. Which is the biggest value? (a) u (b) -1/4 (c) x
c
Let k = 5 + -6. Which is the smallest value? (a) k (b) 2 (c) -0.2
a
Let s = 0 + 25. Let k = 25.3 - s. What is the third smallest value in k, -6/11, 2?
2
Let f = -4.1 + 0.1. Let x be -1*((-86)/22 + 4). What is the third biggest value in 3, x, f?
f
Suppose -5*u - 15 = -0. Let q = 3.4 - 0.4. Which is the third biggest value? (a) 2/17 (b) u (c) q
b
Let k = 0.2 + -0.1. Let p be ((-24)/(-30))/(18/5). Which is the third smallest value? (a) -4 (b) p (c) k
b
Let j = 49 - 44. Which is the smallest value? (a) j (b) -3/8 (c) 0.4 (d) 2/11
b
Let l = 5 - 5.4. Let f be ((-7)/4)/(3/(-12)). Let i = f - 5. Which is the third smallest value? (a) i (b) -1 (c) l
a
Let h be (3 - (-9)/(-2))/((-24)/32). What is the second biggest value in 1.4, h, 0?
1.4
Let f = -1531/15 + 102. Which is the second smallest value? (a) -4 (b) f (c) -2
c
Let m = 22/29 + 266/261. Let s = m - 19/9. Let a = -0.44 + 0.04. What is the third biggest value in a, s, -0.1?
a
Let s = 35 - 33.8. Let y = -0.82 - -0.02. Let x = y - s. What is the second biggest value in -4, x, 3?
x
Let i = 1.33 - 1.5. Let r = i - 0.03. What is the third smallest value in -2/9, 0.08, r?
0.08
Let i = 22 - 20. Let q = 12 + -8. Let k = 0.8 + -0.5. What is the second smallest value in i, q, k?
i
Let l = 10 - 9.92. What is the third biggest value in -0.3, -1/5, l?
-0.3
Let n be -3 + 0 - 30/(-5). Which is the third smallest value? (a) -0.5 (b) n (c) -1/4
b
Let l = 943/21 + 260326/105. Let g = 2503 - l. Let x = 21 + g. Which is the third smallest value? (a) x (b) -2/13 (c) 3
c
Let q = -31 + 28. What is the third smallest value in 5, q, 2/5?
5
Let n be (-4)/(-6) - 168/90. Let j(u) = -u. Let p be j(-5). What is the third biggest value in n, 1, p?
n
Let o = -12 - -12.12. Let n = o + 0.38. Let d = 2 + -3. Which is the third smallest value? (a) n (b) d (c) 1/4
a
Let h = -8 - -12. Which is the third smallest value? (a) h (b) 5/4 (c) -1
a
Suppose -o - 4 = 2*o + a, o - a = -4. What is the biggest value in -1/5, o, -3?
-1/5
Let h = 0.14 + -3.14. Let m = -3.93 + -0.07. What is the third biggest value in m, -1, h?
m
Let j = 7.1 + -7. Let s = -0.3 - j. Let f = -81/292 + 2/73. What is the smallest value in s, f, 4?
s
Let r be (-2)/(-20) + 9/(-15). Let t = 0.6 - 0.54. What is the third biggest value in r, 3/2, t?
r
Let o = 1.5 - 2. Let q = 7 - 7.06. Let k = q + 0.56. Which is the second smallest value? (a) 2 (b) k (c) o
b
Let z = -4.92 + 5. Let s = 0.02 + z. Which is the second biggest value? (a) s (b) 2/5 (c) 1
b
Suppose 0*h + 5 = h. Suppose 8*l - 3*l = -h. Let f = 0.2 + 0.3. What is the third biggest value in l, -1/6, f?
l
Let r = 1 + -1. Suppose 0 = -4*s + 6 + 2. Suppose -4*y + s*l = y + 35, -l - 5 = 2*y. What is the second smallest value in r, y, 5?
r
Let t = 0.21 - -2.49. Let x = t + -0.7. Let s = 0.8 - 1. Which is the second smallest value? (a) x (b) s (c) -3/7
b
Let k = -15 - -33. Let l = k + -17. Which is the third smallest value? (a) l (b) 3 (c) -1
b
Let m be 4 - 1 - (-1 - -5). Let n = -0.1 - 0.6. Let h = 0.4 + n. Which is the biggest value? (a) h (b) m (c) 0.1
c
Let z be (0 - 7 - (-2)/1) + 0. What is the second biggest value in z, -4, -0.1?
-4
Suppose 9*c - 20 = 13*c. What is the third biggest value in -3, -2/9, c?
c
Let c = 0.06 - 0.1. Let b = 0.14 + c. Let g = b - 0.1. What is the second biggest value in g, 0.1, -4?
g
Let p = -1 + 7. Let l be p/4*4/3. Let m = -3.5 + 3. What is the second biggest value in 5, l, m?
l
Let h = -401009/6340 + 1/1585. Let k = h + 63. Which is the biggest value? (a) k (b) 2/3 (c) 0.1
b
Let b = 10 - 9. What is the smallest value in b, 2/13, -14?
-14
Let v = -17.4 + 19. Let c = 1.8 - v. Let x(h) = -2*h + 1. Let o be x(1). What is the biggest value in o, c, 2/5?
2/5
Let p = 5 + -3. Let k be (-25)/10*(-1)/(-5). What is the second smallest value in p, 3/7, k?
3/7
Let p = -3.8 + 3.7. What is the biggest value in 3, p, 1, 3/2?
3
Let p = -0.557 - -0.057. What is the second smallest value in 3/4, p, 6?
3/4
Let o = 0.07 + -3.07. Suppose 0 = x - 4*x - 72. Let h be ((-1)/5)/(x/(-15)). What is the biggest value in o, 2, h?
2
Let o = 5.12 + -0.12. Let v = o - 2. Let f = v + -3.5. Which is the third smallest value? (a) f (b) 0.5
|
{
"pile_set_name": "DM Mathematics"
}
|
= -x*q. What is the lowest common multiple of q and 6?
60
Let r be 5 - (-599 - 3/3 - 5). Let b = 3607/6 - r. Calculate the common denominator of b and 121/60.
60
Let x be (-2)/(-10) + 224/(-70). Let z(l) = -l**3 - 3*l**2 + 4. Let i be z(x). Calculate the smallest common multiple of (i/12)/((-3)/(-36)) and 11.
44
Find the common denominator of -61/16 and 2*(-14)/(-162)*((-35528)/(-5120) - 7).
8640
Suppose 0 = g + 10*g + 803. Calculate the least common multiple of 42 and -1 + 8 - 3 - g.
462
Let g = -75 - 254. Let s be 14/6 + 2/(-6). Find the common denominator of (1/s)/(35/g) and 101/22.
110
Suppose 2*o - 43 + 83 = r, 3*r - 4*o - 116 = 0. Let c(j) = j**3 - 19*j**2 + 4*j - 20. What is the smallest common multiple of r and c(19)?
504
Let a be ((-45152)/340)/(4/(-30)). What is the lowest common multiple of 2/4 + a/24 and 42?
42
Suppose -6*l - g + 6131 = 0, 328*g - 5129 = -5*l + 330*g. Calculate the least common multiple of 132 and l.
4092
Let m be 24395/(-9 - -2) - (0 - 0). Let j = m - -31435/9. What is the common denominator of 36/(-13) - (-4)/2 and j?
117
Calculate the smallest common multiple of 2/1*(-1148)/6*255/(-170) and 492.
3444
Suppose 0 = 2*v + 3*w + 2*w + 7, 13 = 2*v + w. Suppose -5*o + v = -6*o. Let z(t) = 2*t**2 + 17*t - 8. What is the least common multiple of 13 and z(o)?
13
Suppose -2 = -g, 5*w + 5*g - 30 = -0*w. Suppose -5 = 3*h + w*k + 28, 3*h + 3*k = -36. What is the common denominator of -73/80 and h?
80
Find the common denominator of (-6)/(-4) - 94*(-6)/84 and -52/155.
2170
Let s = -2113 - -50725/24. Find the common denominator of -8 - -4 - (-11)/(-30) and s.
120
Let q = 8207 + -426793/52. Let s = -41 - -76. Find the common denominator of q and (14/s)/((-88)/1030).
572
Let d = 19020 + -418353/22. What is the common denominator of d and 163/714?
7854
Calculate the common denominator of 26258/119054 - 16/52 and 79/8.
1928
Let t = -138/403 - 11423/29016. What is the common denominator of -26/297 and t?
2376
Let p = 12 + -6. Let k be 2/5 + (690/25)/p. Suppose k*h = 79 - 9. What is the lowest common multiple of 7 and h?
14
Let l(h) = -3*h + 8. Let d be l(-9). What is the common denominator of 14/d*(-31)/8 and ((-42)/(-528))/(1190/(-120) - -10)?
220
Let w = -31 + 39. Let h = -45 - -29. Let m = h - -17. What is the lowest common multiple of m and w?
8
Let g be (-15)/(-3) - 1 - -4. Suppose -789 = g*f - 805. Calculate the smallest common multiple of f and 5.
10
Let t(p) = -12*p - 486. Calculate the lowest common multiple of t(-53) and 80.
1200
Suppose 150 = -37*x + 34*x. Let m be ((-9)/18)/((-1)/(-82)). Let i = m - x. Calculate the least common multiple of i and 18.
18
Let z be 6/224992*19/57. Let l = z + 8549585/12487056. Calculate the common denominator of -47/3 and l.
111
Let n(g) = g - 13552. Let w be n(0). Let s = w + 121532/9. Let x = 539/18 + s. Calculate the common denominator of 27/8 and x.
8
Let a be 9 + ((-18)/(-45))/(1/(-5)). Calculate the lowest common multiple of (3 - 2) + (a - (0 + -1)) and 16 + -21 + (1 - 3) + 12.
45
Let c = 55878 - 222163/4. Let d = c + -17481/52. Let h = 7/190 - 159/190. What is the common denominator of d and h?
65
Let o(d) = 15*d - 4*d**2 + 20*d + 0 - 2 - 11*d. Let s be o(6). What is the least common multiple of 1 and s*1/2*(-11 - -4)?
7
Let v be (-2)/(45216/12467) + 1. Let i = 89/628 + v. What is the common denominator of i and -1/4?
144
Suppose -3*a = a - h - 345, 2*a = h + 175. Suppose -5*r + a = -3*o, -2*o = -5*r + 44 + 46. Calculate the least common multiple of 50 and r.
100
Calculate the common denominator of 139/72 and (-4429)/721*1/(-15).
2520
Let a be (-2869057)/164 + (-5)/(-4). Let t = a - -787226/45. What is the common denominator of t and 46/3?
45
Let m be (942/12)/(41/(-84029821)). Let f = m - -160853958. Let u = 32407 + f. Find the common denominator of -17/4 and u.
164
Let t = 35540 + -235203685/6618. Calculate the common denominator of -47/10 and t.
33090
Let q = 349638 - 12671230759/36241. Let z = -2283128/1993255 + q. What is the common denominator of z and 34/45?
495
Let i = -3262 - -3282. What is the smallest common multiple of i and 2362?
23620
Let s(v) = -v**2 - 35*v + 42. Let z be s(-36). What is the smallest common multiple of 9 and z - 6/(-5 + 7)?
9
Let c = -522883/5572506 - 1/54102. Let v = c + -27925/8652. Find the common denominator of -107/12 and v.
84
Let t(s) = -2*s**2 - 6*s - 6. Let z be t(5). Calculate the common denominator of 2 - 0 - z/(-16) and 8397/(-123156)*152/(-3).
88
Find the common denominator of -59/2 and 6 - (-33236)/(-10)*1/552.
1380
Suppose 0 = -s - 35*a + 30*a + 274, 0 = -3*a. Let i = 364 - s. What is the smallest common multiple of 110 and i?
990
What is the common denominator of 24/4 + 1 + 1*121887/(-17415) and -26/135?
5805
Let u = -2804172037/1670 + 1679145. Calculate the common denominator of 50/3507 and u.
35070
Let h be 3/18*(-78)/59388665524. Let z = -33390237891774737/11660311200316636 - h. Let m = z + -1/17849. What is the common denominator of 89/18 and m?
198
Let i(m) be the third derivative of m**6/120 - 11*m**5/60 + 7*m**4/12 + 13*m**2. Let t be i(10). Find the common denominator of 1 + 1 + (-532)/t and 123/20.
20
Let l = -68/621 + 38561/6210. Find the common denominator of l and 11/8098.
40490
Suppose 2*p + 10*p - 72 = 0. Let l be (p/20 - 0)*-4*335. What is the common denominator of (11/33)/(((-88)/l)/(-2)) and -21/20?
220
Suppose 0 = 409*r - 413*r + 2920. Calculate the lowest common multiple of 146 and r.
730
Let j(l) be the first derivative of -l**4/4 + 7*l**3/3 - 5*l**2/2 + 14*l + 168. Let p be 25/4 - 2/8. Calculate the smallest common multiple of j(p) and 10.
20
Let j(l) = 31*l + 1332. Calculate the least common multiple of 14 and j(-36).
1512
Let m = 2710 + -94826/35. What is the common denominator of m and (23 + -65)/14 + (-471)/(-168)?
280
Let j = -10606 + 10978. Calculate the lowest common multiple of j and 42.
2604
Let h = 802 - 509. Let c = h + -424. Find the common denominator of (-3 - c/6)*1 and -101/4.
12
Find the common denominator of (-63)/(-390)*(10 + (-550)/60) and 29/156.
156
What is the smallest common multiple of 30 and (9989/165 + 28/462)*25?
3030
Let c = -82 + 112. Calculate the common denominator of 50/60*441/c and 10/(-4) - -2 - 11.
4
Calculate the common denominator of 10197/(-5005) + (-3)/39 and (-1)/4 - 4/80.
70
Let a = -412 - -2101/5. Let i be -1 + 0 + (-9529)/1677. Let u = i + -28/43. What is the common denominator of a and u?
15
Let x = 4383201/265490 + -3145/191. Calculate the common denominator of 5/2 and x.
1390
Let r = -19 - -15. Let f(v) = -v**3 - 4*v**2 + v + 2. Let w be f(r). Let t(k) = -41*k - 8. What is the least common multiple of t(w) and 4?
148
Let d = 21294057 + -510917333/24. Suppose -4151 - 1686 = -w. Let h = w - d. What is the common denominator of h and -26/33?
264
Let h(s) = s**2 - 61 - 65 - s + 125. Let j be h(2). Calculate the common denominator of -83/6 and -48*3/(-141)*j/2.
282
Suppose 108 = 9*k + 3*k. Suppose -k*o + 11*o - 66 = 0. What is the least common multiple of 48 and o?
528
Let d = 2453 - 1723. Calculate the common denominator of -37/38 and (33 - 28)*37/d.
2774
Let h = 160991/32 - 5034. Calculate the common denominator of h and 89/376.
1504
Let m(z) = -z**3 - 4*z**2 + 48*z + 7. What is the lowest common multiple of m(5) and ((-123)/(-9) + -11)/(2/111)?
1628
Find the common denominator of 405/42 + 4288/(-1876) and -187/21180.
148260
Let d = -22063/594867 + 1/2179. Calculate the common denominator of d and 64/117.
819
Let h = -186350802649457783/8719139880 + 82925867153/3880. Let p = -2/749067 + h. Let c = p + -236/9. Find the common denominator of c and -47/12.
12
Let p = -4453 - -2760859/620. Find the common denominator of 37/5 and p.
620
Find the common denominator of (17170/(-920) - 7) + 11 + 14 and (-1077)/(-270) - (-2)/5.
828
Suppose 10*t - 160 = -22*t. Let s = -12 - -17. Let w = s - 1. What is the least common multiple of w and t?
20
Suppose 5*k + 6*b = 2*b + 1458, 1188 = 4*k - 4*b. What is the lowest common multiple of k and 7?
294
Suppose -1 = -c + 4*r, 28*r - 30*r + 49 = 5*c. What is the lowest common multiple of c and (3/5)/((-1)/(-10))?
18
What is the common denominator of -37/6768 and (2/(-3008)*2)/(1810/(-3982))?
33840
Let k(t) = t**2 + 35*t - 1610. Calculate the l
|
{
"pile_set_name": "DM Mathematics"
}
|
39689 to the nearest integer?
199
What is 634 to the power of 1/5, to the nearest integer?
4
What is 70583 to the power of 1/4, to the nearest integer?
16
What is the cube root of 3391 to the nearest integer?
15
What is 1037 to the power of 1/8, to the nearest integer?
2
What is the cube root of 421 to the nearest integer?
7
What is the square root of 1466 to the nearest integer?
38
What is the cube root of 29228 to the nearest integer?
31
What is the third root of 155731 to the nearest integer?
54
What is the third root of 2793 to the nearest integer?
14
What is 95023 to the power of 1/6, to the nearest integer?
7
What is 9278 to the power of 1/8, to the nearest integer?
3
What is the square root of 45873 to the nearest integer?
214
What is 7479 to the power of 1/2, to the nearest integer?
86
What is 363 to the power of 1/3, to the nearest integer?
7
What is the square root of 39774 to the nearest integer?
199
What is the sixth root of 3075 to the nearest integer?
4
What is 2029 to the power of 1/3, to the nearest integer?
13
What is the third root of 8311 to the nearest integer?
20
What is the third root of 17998 to the nearest integer?
26
What is the cube root of 44942 to the nearest integer?
36
What is 452 to the power of 1/3, to the nearest integer?
8
What is 2675 to the power of 1/7, to the nearest integer?
3
What is the square root of 21331 to the nearest integer?
146
What is the cube root of 2562 to the nearest integer?
14
What is the sixth root of 7354 to the nearest integer?
4
What is the square root of 1662 to the nearest integer?
41
What is the sixth root of 2182 to the nearest integer?
4
What is the cube root of 14593 to the nearest integer?
24
What is 1550 to the power of 1/2, to the nearest integer?
39
What is the square root of 20369 to the nearest integer?
143
What is 1009 to the power of 1/7, to the nearest integer?
3
What is the square root of 19650 to the nearest integer?
140
What is the tenth root of 39862 to the nearest integer?
3
What is the third root of 30702 to the nearest integer?
31
What is the third root of 8138 to the nearest integer?
20
What is 15054 to the power of 1/2, to the nearest integer?
123
What is 220 to the power of 1/3, to the nearest integer?
6
What is 20138 to the power of 1/3, to the nearest integer?
27
What is 11580 to the power of 1/7, to the nearest integer?
4
What is the third root of 29907 to the nearest integer?
31
What is 62678 to the power of 1/3, to the nearest integer?
40
What is the third root of 35335 to the nearest integer?
33
What is the fifth root of 9211 to the nearest integer?
6
What is the square root of 183 to the nearest integer?
14
What is the square root of 30918 to the nearest integer?
176
What is 3372 to the power of 1/10, to the nearest integer?
2
What is the third root of 2847 to the nearest integer?
14
What is 1298 to the power of 1/3, to the nearest integer?
11
What is the cube root of 2978 to the nearest integer?
14
What is the third root of 2947 to the nearest integer?
14
What is the square root of 688 to the nearest integer?
26
What is 5773 to the power of 1/8, to the nearest integer?
3
What is the square root of 60523 to the nearest integer?
246
What is the third root of 3316 to the nearest integer?
15
What is the square root of 14347 to the nearest integer?
120
What is 33478 to the power of 1/8, to the nearest integer?
4
What is the seventh root of 999 to the nearest integer?
3
What is the cube root of 35846 to the nearest integer?
33
What is the seventh root of 452 to the nearest integer?
2
What is 5910 to the power of 1/9, to the nearest integer?
3
What is the ninth root of 534 to the nearest integer?
2
What is 18794 to the power of 1/3, to the nearest integer?
27
What is the fifth root of 28444 to the nearest integer?
8
What is 112395 to the power of 1/3, to the nearest integer?
48
What is the square root of 9140 to the nearest integer?
96
What is the square root of 2084 to the nearest integer?
46
What is 3456 to the power of 1/2, to the nearest integer?
59
What is 3228 to the power of 1/3, to the nearest integer?
15
What is the third root of 1377 to the nearest integer?
11
What is 1245 to the power of 1/2, to the nearest integer?
35
What is 85718 to the power of 1/4, to the nearest integer?
17
What is 8571 to the power of 1/4, to the nearest integer?
10
What is 23515 to the power of 1/2, to the nearest integer?
153
What is 26175 to the power of 1/3, to the nearest integer?
30
What is 8088 to the power of 1/2, to the nearest integer?
90
What is the fifth root of 1301 to the nearest integer?
4
What is the third root of 2338 to the nearest integer?
13
What is the third root of 201 to the nearest integer?
6
What is the ninth root of 341 to the nearest integer?
2
What is the tenth root of 21659 to the nearest integer?
3
What is 34996 to the power of 1/3, to the nearest integer?
33
What is 13298 to the power of 1/5, to the nearest integer?
7
What is 551 to the power of 1/7, to the nearest integer?
2
What is the square root of 1193 to the nearest integer?
35
What is 5648 to the power of 1/7, to the nearest integer?
3
What is the cube root of 1898 to the nearest integer?
12
What is the third root of 4000 to the nearest integer?
16
What is the fifth root of 38473 to the nearest integer?
8
What is 3512 to the power of 1/8, to the nearest integer?
3
What is 144747 to the power of 1/3, to the nearest integer?
53
What is the cube root of 1105 to the nearest integer?
10
What is the third root of 318 to the nearest integer?
7
What is the square root of 308 to the nearest integer?
18
What is the square root of 1519 to the nearest integer?
39
What is 7650 to the power of 1/4, to the nearest integer?
9
What is 4309 to the power of 1/2, to the nearest integer?
66
What is the seventh root of 15410 to the nearest integer?
4
What is the cube root of 44051 to the nearest integer?
35
What is the third root of 7275 to the nearest integer?
19
What is the ninth root of 3556 to the nearest integer?
2
What is the third root of 169 to the nearest integer?
6
What is the fifth root of 494 to the nearest integer?
3
What is 260 to the power of 1/5, to the nearest integer?
3
What is the eighth root of 31 to the nearest integer?
2
What is 1846 to the power of 1/10, to the nearest integer?
2
What is the fourth root of 55718 to the nearest integer?
15
What is 687 to the power of 1/5, to the nearest integer?
4
What is the fourth root of 5707 to the nearest integer?
9
What is the ninth root of 164 to the nearest integer?
2
What is 29581 to the power of 1/2, to the nearest integer?
172
What is 891 to the power of 1/4, to the nearest integer?
5
What is 200 to the power of 1/5, to the nearest integer?
3
What is 47474 to the power of 1/2, to the nearest integer?
218
What is the fourth root of 51560 to the nearest integer?
15
What is the cube root of 9512 to the nearest integer?
21
What is the square root of 740 to the nearest integer?
27
What is 4333 to the power of 1/2, to the nearest integer?
66
What is 3583 to the power of 1/2, to the nearest integer?
60
What is 55680 to the power of 1/3, to the nearest integer?
38
What is 17596 to the power of 1/2, to the nearest integer?
133
What is the third root of 83767 to the nearest integer?
44
What is the eighth root of 6260 to the nearest integer?
3
What is 1249 to the power of 1/2, to the nearest integer?
35
What is the cube root of 41994 to the nearest integer?
35
What is the tenth root of 3205 to the nearest integer?
2
What is 62604 to the power of 1/2, to the nearest integer?
250
What is 82625 to the power of 1/10, to the nearest integer?
3
What is 5254 to the power of 1/2, to the nearest integer?
72
What is the eighth root of 11696 to the nearest integer?
3
What is 19729 to the power of 1/9, to the nearest integer?
3
What is the fourth root of 34061 to the nearest integer?
14
What is the ninth root of 3895 to the nearest integer?
3
What is the cube root of 30628 to the nearest integer?
31
What is the cube root of 84668 to the nearest integer?
44
What is 32091 to the power of 1/7, to the nearest integer?
4
What is 18244 to the power of 1/7, to the nearest integer?
4
What is 1429 to the power of 1/2, to the nearest integer?
38
What is 90762 to the powe
|
{
"pile_set_name": "DM Mathematics"
}
|
t(3) + (-2*sqrt(288))/sqrt(12))/(6*sqrt(64)/(sqrt(8) + (sqrt(24)/sqrt(3) - sqrt(8)))*-4))**2.
9/64
Simplify (1*((sqrt(90)/(sqrt(50)/sqrt(5)))/(-2*sqrt(3)*3) + -5))**2 + -4.
5*sqrt(3)/3 + 253/12
Simplify (-3*((sqrt(45) - sqrt(270)/sqrt(6))/sqrt(3) + sqrt(15) - (sqrt(15) - sqrt(105)/sqrt(175))))/((-5*sqrt(441))/sqrt(3)*-1).
-3*sqrt(5)/175
Simplify (1 + -2 + -5 + sqrt(1300)*-1 + (0 + sqrt(1300))*-5 + 5 + 3)**2*-2.
-93608 + 480*sqrt(13)
Simplify (((sqrt(204) + -1*sqrt(204))*3 - (sqrt(204) - sqrt(204)*2*3))/(-1*sqrt(768)*-2 - -4*sqrt(768)*2))**2.
17/256
Simplify (6*-4*2*sqrt(153)*-2)/(2*(sqrt(18)/sqrt(32) + sqrt(54)/(sqrt(18)/sqrt(3)))).
192*sqrt(17)/5
Simplify (-4*(2 + 0 + sqrt(1053)) + -2)**2 + (sqrt(52)/(-4*sqrt(16)/sqrt(4)) - ((sqrt(117) + 1)**2 + (1 + sqrt(13) + sqrt(13) + sqrt(13))**2*-1 + sqrt(13))).
2875*sqrt(13)/4 + 16948
Simplify ((-1*1*-4*2*sqrt(121))/(4*-4*sqrt(55)/(2*sqrt(5))))**2.
11
Simplify (((sqrt(128) - (0 + sqrt(128) - sqrt(128))**2) + 2)*-1 - ((-1*sqrt(128))**2*-2 + 5)) + -4.
-8*sqrt(2) + 245
Simplify 1 + (-4*2*sqrt(76)/sqrt(4)*3 - (sqrt(1539) + -1 + sqrt(57)/sqrt(3)*-1)**2).
-1216 - 8*sqrt(19)
Simplify (-3 + 0 + -3*5*-3*sqrt(768)*-4)**2.
17280*sqrt(3) + 24883209
Simplify -2 + (-6*sqrt(190)*-3*1*-3)/(((sqrt(250) + sqrt(250) + sqrt(250) + sqrt(250)*2 - sqrt(250) - sqrt(250) - sqrt(250)) + sqrt(250) - -2*sqrt(90))*6).
-2 - 3*sqrt(19)/7
Simplify -2*(sqrt(1900) + (-3 + sqrt(1900) + -4)**2 - (sqrt(1900) + ((-3 + sqrt(1900))*2)**2))*5*1.
-1000*sqrt(19) + 56870
Simplify (((sqrt(539) + sqrt(539)*2)*3)/(sqrt(1584) + sqrt(1584)*-2))/((-6*(sqrt(21) + sqrt(525)))/(2*sqrt(12)/sqrt(4))).
sqrt(7)/24
Simplify 5 + (-3*((-1*sqrt(363))**2 + sqrt(363)) - sqrt(363)) + -2 + -4 + sqrt(75) + (sqrt(3) + sqrt(30)/sqrt(360))**2.
-13031/12 - 39*sqrt(3)
Simplify ((sqrt(75)/sqrt(3))/sqrt(5) - (-2 + sqrt(5)*3)) + -2 - (-2 + (sqrt(320)*-1)**2 + ((sqrt(5) - (sqrt(5) + sqrt(5) + -1 + sqrt(180)) - sqrt(5)) + 0)**2).
-639 + 14*sqrt(5)
Simplify -5 + (3*(-3*sqrt(44) + 2) - (sqrt(11) - -2*-3*sqrt(11) - ((sqrt(539) + 4)**2 + sqrt(11)))).
44*sqrt(11) + 556
Simplify (((sqrt(77)*-2*-6 - sqrt(77)) + sqrt(77))/(-6*sqrt(44)/sqrt(4)))**2 + -1*(sqrt(567) - (sqrt(567) + -1*sqrt(567)) - sqrt(567))*5.
28
Simplify (-1*((-1*sqrt(2160) - sqrt(2160))/(sqrt(240)/sqrt(12)) - (sqrt(18)/sqrt(3)*-2)/(6*sqrt(8))))**2.
5041/12
Simplify (2*((0 + sqrt(208))*-6 + 0 + sqrt(1053) + 0)*6 + -1)*-3.
3 + 540*sqrt(13)
Simplify (1*-2*sqrt(228))/(sqrt(15)/(sqrt(720) - (sqrt(720) - sqrt(720)*-3) - sqrt(5)))*-2.
-296*sqrt(19)
Simplify -4 + (6*(-1 + 2 + sqrt(1539) + 1))**2 + (-2*sqrt(1539)*1*3)**2*5.
1296*sqrt(19) + 332564
Simplify (-5 + (1*((-2 + sqrt(147))*3 + -2 + 1) + 1)*4)**2.
-4872*sqrt(3) + 22009
Simplify (sqrt(99) - ((-2*sqrt(99) + sqrt(99))*-2 - sqrt(99)))/(sqrt(144)/sqrt(4)) - (sqrt(11) + -3*sqrt(11) + 5 + sqrt(176))**2.
-69 - 20*sqrt(11)
Simplify (sqrt(168)/sqrt(7)*-4)/(sqrt(8) - 4*(sqrt(8) + sqrt(128)) - sqrt(8)) + (sqrt(4752)*3)/(-1*sqrt(539)).
-173*sqrt(3)/35
Simplify (-1*sqrt(686)*4*-2)/(1*(1*(sqrt(112) + sqrt(7)) - sqrt(7))*-4).
-7*sqrt(2)/2
Simplify ((sqrt(832) - -2*sqrt(832)*1)*3)**2 - -6*((sqrt(13) + -1)*3 - (-6*(sqrt(117) + sqrt(13)))**2).
18*sqrt(13) + 22446
Simplify (-4*(sqrt(171) + 2 + sqrt(171))*3 + 1 - -5*(2*-1*sqrt(171) + -1))*-1.
28 + 102*sqrt(19)
Simplify ((-1 + -1 + sqrt(1900) - (sqrt(1900) + sqrt(1900)*1 + sqrt(1900) + -3) - (-2 + sqrt(1900)*-2)*6)*-3)**2.
23400*sqrt(19) + 1711521
Simplify (0 + sqrt(60)/((sqrt(48) + 1*sqrt(48))/sqrt(4)) + (4*sqrt(25)/sqrt(5) - sqrt(5) - -1*(sqrt(10)/sqrt(2) + sqrt(5))))**2.
605/4
Simplify (-2*sqrt(85)*-2 + ((sqrt(85) - 4*sqrt(85)) + sqrt(85))*1)/(2*sqrt(5)*2 + -2*sqrt(320) + sqrt(5) + sqrt(5)).
-sqrt(17)/5
Simplify (4*-5*(sqrt(102)*-2 - sqrt(102))*5)/((3*sqrt(378))/((sqrt(56)/sqrt(4))/sqrt(2))).
100*sqrt(17)/3
Simplify ((3 + 2*(-4 + sqrt(425) + -2 + sqrt(425)))*4*-2 + 5)**2.
-24640*sqrt(17) + 441129
Simplify ((sqrt(1024) - -5*(sqrt(1024)*-2 - sqrt(1024))) + 6*sqrt(1024)*-2)/((sqrt(72) + -2*sqrt(72)*-2)/(1*sqrt(144) - sqrt(9))).
-624*sqrt(2)/5
Simplify 4 + (-3 + sqrt(425))*3 + (-2 + sqrt(425))**2*3 + ((sqrt(425) + 1 - sqrt(425)) + sqrt(425) + 0 + 0 + 1 + sqrt(425) + sqrt(425))**2*6.
315*sqrt(17) + 24256
Simplify (3 + (sqrt(117) - -5*(sqrt(117) - (1 + sqrt(117))) - (-3 + sqrt(117) + 1 + sqrt(117))) - -4*(4 + 2*sqrt(117))*-6)**2.
28224*sqrt(13) + 290133
Simplify 3 + (1*(sqrt(14) - sqrt(70)/sqrt(5)))/(sqrt(252) + 2*sqrt(252) - sqrt(252) - sqrt(252) - sqrt(7))*-5 + -2.
1
Simplify 6*((((sqrt(1800)*1 - sqrt(1800))/sqrt(6))**2 - -1*2*sqrt(75)) + (sqrt(486) - -2*sqrt(486))/(-5*sqrt(18))).
246*sqrt(3)/5
Simplify ((sqrt(20) + (-2*sqrt(320) - sqrt(320)))/(-3*sqrt(1210)))**2 + (1 + sqrt(200) + ((1 + sqrt(200))*4 - sqrt(200)))**2*2.
800*sqrt(2) + 58052/9
Simplify 3*(2*(2 + -1*sqrt(99)) + (sqrt(132) + (sqrt(132) - sqrt(132)*2)*-4 - sqrt(132))/(sqrt(36)/(sqrt(12)/sqrt(4)))).
-6*sqrt(11) + 12
Simplify (sqrt(119)/(sqrt(7) - sqrt(35)/sqrt(5)*6))**2 + -5 - 3*(sqrt(17) - (sqrt(1700) + -1)**2)*-5.
-637983/25 + 315*sqrt(17)
Simplify ((3*sqrt(495)*2*-4)/((1*sqrt(704) - sqrt(704) - sqrt(704) - sqrt(11)) + sqrt(11) - 6*sqrt(11)*-2)*-5)**2.
40500
Simplify (sqrt(14)/sqrt(7) + 5 - (sqrt(1152) + sqrt(18))/sqrt(9))*2 + (sqrt(48)/sqrt(3)*4)/(sqrt(242) - sqrt(242)*-1).
-172*sqrt(2)/11 + 10
Simplify (2*-2*sqrt(432)*2)/((sqrt(1008)*3)/(sqrt(567) + sqrt(63))).
-32*sqrt(3)
Simplify (2*((2*sqrt(1700)*-1 + sqrt(1700))*1 + (sqrt(1700) - -4*(sqrt(1700) + 3 + sqrt(1700)))*2) + -4)**2.
29920*sqrt(17) + 1967136
Simplify ((-1*(sqrt(243) + -3) - -6*(sqrt(243) + -1) - 3*(0 + (sqrt(243) - sqrt(243)*-2 - sqrt(243)) - -2*(sqrt(243) + sqrt(243) + -1))) + 0)**2.
-702*sqrt(3) + 41076
Simplify (3*(3 + 4 + (sqrt(832) - (1 + sqrt(832))*-3) + (1 + sqrt(832))*-3*1))**2.
1008*sqrt(13) + 7929
Simplify ((-5*(sqrt(1331) + 0)*-3)**2 - ((4 + sqrt(1331)*2)**2 + -5*(sqrt(1331) + sqrt(1331)*1))) + -5.
-66*sqrt(11) + 294130
Simplify (-3*-3*sqrt(65) - (sqrt(65) + sqrt(65)*3*-2))/((sqrt(450)*-1)/(sqrt(30)/(sqrt(6)/sqrt(2))))*6.
-28*sqrt(13)
Simplify ((sqrt(80) + (-2 + sqrt(80) + sqrt(80)*-1 - sqrt(80)) + sqrt(80) + 3 + sqrt(80) + -1 + 0 + 2 + (sqrt(80) - 2*sqrt(80)))*1)**2.
16*sqrt(5) + 84
Simplify ((-4*sqrt(66)*-5*-4*-2)/(sqrt(726) - 2*sqrt(726)*3 - (sqrt(726) + (sqrt(726)*-2*4 - sqrt(726)))))**2.
25600/99
Simplify (0 + (sqrt(80)*-2*2 - (sqrt(80) + -1*sqrt(80) + 5 + sqrt(80)))**2 + (-5*(sqrt(80) - (5 + sqrt(80)*2)))**2)*5.
6000*sqrt(5) + 23250
Simplify 2 + (5*(-1 + sqrt(1700)) - sqrt(1700)) + 4 - (-1*sqrt(1700) + 1 - -1*2*sqrt(1700)).
30*sqrt(17)
Simplify (-2*(sqrt(91)*-1 + sqrt(91) + sqrt(91)))/(4*sqrt(63)) + (0 + -3*(-1 + sqrt(468))*3)**2.
-5833*sqrt(13)/6 + 37989
Simplify (((sqrt(68) + 0)*-6 - sqrt(68))*-3 - (-3 + -4*sqrt(68) + -4))**2 + -4.
700*sqrt(17) + 42545
Simplify 4 + 3*((sqrt(30)/sqrt(2))/sqrt(3) + sqrt(5) + sqrt(50)/(sqrt(10) + sqrt(40)/sqrt(4) + sqrt(10)))**2 - (-3*sqrt(360))/(sqrt(10)/sqrt(80) - sqrt(2)).
-24*sqrt(5) + 257/3
Simplify ((6*-2*sqrt(76)*5*3)/(sqrt(4)*1*-1 + (sqrt(4) - (sqrt(4) - sqrt(12)/sqrt(3)))*-1))**2.
153900
Simplify -3*(-5 + (sqrt(19) + -1)*-2 + sqrt(38)/((sqrt(20) + sqrt(80)/sqrt(4))/sqrt(10)))**2*-6.
162*sqrt(19) + 1863/2
Simplify (sqrt(15)/sqrt(3))**2 + sqrt(5) + -2 + -5 - (-2*sqrt(405) + 4) - (-6*(1 + sqrt(125))*4 + 2).
16 + 139*sqrt(5)
Simplify (4*-5*sqrt(5500)*-2)/((sqrt(77) + sqrt(77) + 5*(2*sqrt(77) + sqrt(77)))/(sqrt(77)/(sqrt(11)*2))).
200*sqrt(5)/17
Simplify (sqrt(144)/(sqrt(12) + sqrt(84)/sqrt(7) - sqrt(12)) + sqrt(12))/(2*-3*sqrt(4)) + 3 + 5 + 1 + (1 + sqrt(75))**2.
29*sqrt(3)/3 + 85
Simplify ((((-1 + sqrt(432) - sqrt(432))*5 - sqrt(432)) + 6*(2*sqrt(432) + sqrt(432)))*1)**2 + ((2 + sqrt(192) + -1 + 3)*6)**2.
264*sqrt(3) + 132361
Simplify ((sqrt(351)*-3)/(sqrt(6)/sqrt(2)*3)*-2)**2 + -2*(1*sqrt(1573) + 4 - (1 + sqrt(1573) + -1))**2.
436
Simplify ((((sqrt(28) - sqrt(7)) + 3 + -5 - -2*(sqrt(252) + -1)) + -1*(0 + 1 + sqrt(7) - (-4 + 1 + sqrt(7) + sqrt(7)))*4)*-5)**2.
-17000*sqrt(7) + 60575
Simplify -6*-5*(-5 + -2 + (sqrt(12) + -4*sqrt(192) + sqrt(192) + -1)**2).
1320*sqrt(3) + 43380
Simplify (4*(sqrt(4235) + -3*sqrt(4235) + sqrt(4235))*-1)/((-2*sqrt(45)*4)/((sqrt(90) + sqrt(90)*-1 + sqrt(90) + sqrt(90))/sqrt(10))).
-11*sqrt(7)
Simplify (5*sqrt(132)*2*4*-4)/(-4*-2
|
{
"pile_set_name": "DM Mathematics"
}
|
rt(77)*2))/((5*sqrt(176) + (sqrt(11) - -2*sqrt(11))*-4)*5))**2.
7
Simplify (-6*sqrt(65)*-4*-4)/(sqrt(80)*3 - (sqrt(275)/sqrt(5))/sqrt(11)).
-96*sqrt(13)/11
Simplify -6*(-5 + -5*(sqrt(153) + 5*(sqrt(153) + -2) + 1 + -2*sqrt(153)))**2.
-376800 + 28800*sqrt(17)
Simplify (-4 + sqrt(180) + -2 + (sqrt(180) + -1 - sqrt(180)) + -2*sqrt(180) + -5)*-4*-2.
-48*sqrt(5) - 96
Simplify 2 + -5*(-2*(sqrt(22)*-3*-6)/(sqrt(2) + sqrt(12)/(sqrt(24) - sqrt(6))))**2 + -2 + -3.
-17823
Simplify 2 + 4*sqrt(99) + sqrt(11) + -3*(sqrt(396) - (sqrt(396) + 5 - sqrt(396) - sqrt(396)))**2 + -2.
-4827 + 373*sqrt(11)
Simplify ((4*2*sqrt(399))/(sqrt(567)*2))/((sqrt(396)/(sqrt(11)*-2))/(sqrt(48)/sqrt(4)*-2)).
16*sqrt(19)/9
Simplify ((3 + sqrt(304) + -4 + sqrt(304))*4 - (3 + (1 + sqrt(1900) + sqrt(1900) - sqrt(1900)) + 3 + sqrt(1900)))**2.
-264*sqrt(19) + 2857
Simplify (-4*(-2 + (sqrt(63) + sqrt(63) + -1)*2 + sqrt(63) + -5*sqrt(3087)*3))**2.
38400*sqrt(7) + 10080256
Simplify 4*(1 + (sqrt(1573) - (sqrt(1573) + -1*sqrt(1573) + -3)) + -3 - (1*(5 + 1*sqrt(1573) + 6*(sqrt(1573) + 0)))**2).
-308404 - 3036*sqrt(13)
Simplify (3*sqrt(80) + -1 + (sqrt(80) + 4 + sqrt(80))*-2 + (sqrt(80) - (sqrt(80) + 4)*-2) + sqrt(80) + 6*(-4 + sqrt(80)))**2.
-1800*sqrt(5) + 7105
Simplify ((1*sqrt(44)*6 + -2*(sqrt(44) + sqrt(44)*-1) + sqrt(44))*-3)/((sqrt(1728) + -2*sqrt(1728) - sqrt(48))/(sqrt(600)/sqrt(2))).
15*sqrt(11)
Simplify (5 + 1*(sqrt(168)/(sqrt(48)/sqrt(4)) - (2*sqrt(224) - sqrt(224) - sqrt(224) - sqrt(224) - sqrt(14)))/(1*sqrt(343)*-1))*-4.
-20 + 24*sqrt(2)/7
Simplify ((sqrt(468) + 4 - sqrt(1300)*-2)**2 - -3*sqrt(104)/(sqrt(16)/sqrt(32))) + 5.
220*sqrt(13) + 8809
Simplify (5 + sqrt(99) + sqrt(99)*-1 + sqrt(99) + (sqrt(99) - (sqrt(99)*1 + 0)))**2 + sqrt(77)/(sqrt(7) + sqrt(567)*-5) + -5.
1319*sqrt(11)/44 + 119
Simplify (1 + 3*(sqrt(363)*-1*-2 + 2*1*sqrt(363))*5)**2*-5.
-6534005 - 6600*sqrt(3)
Simplify 2 + sqrt(171) + -1 + sqrt(171) + (sqrt(171) + 2 + 5)**2 + (-4*(-1*sqrt(76) + sqrt(76)) - sqrt(76))/(-5*sqrt(64)).
961*sqrt(19)/20 + 221
Simplify (0 + (sqrt(2268) + 0 - (1 + -1 + sqrt(56)/sqrt(8))**2) + 1)*-1.
-18*sqrt(7) + 6
Simplify -2 + ((5 + 5 + sqrt(363)*-3)*-4)**2 + 1 + -1 + -1.
-10560*sqrt(3) + 53869
Simplify (((sqrt(156) + sqrt(156)*-1)*-4 - sqrt(156)) + sqrt(156) - (sqrt(156) + -6*sqrt(156)*1))/(4*sqrt(192) - (sqrt(1452) + sqrt(1452) + -1*sqrt(1452))).
sqrt(13)
Simplify (((sqrt(49) - (sqrt(49) - sqrt(98)/sqrt(2)))*-6 + sqrt(49) - sqrt(98)/sqrt(2)*-6)*2)/(4*(sqrt(7)*4 + sqrt(7)) - sqrt(567)*3).
-2*sqrt(7)/7
Simplify (3 + (2 + (sqrt(432) - (1 + sqrt(432) + 2 + sqrt(432))) + sqrt(432) + 2 + -2)*-1)**2.
16
Simplify (5*(2*3*(5*(sqrt(325)*1 - sqrt(325)) + (sqrt(325)*-2 - sqrt(325)) + 5) + -5)*-5)**2 + 1.
-2812500*sqrt(13) + 66203126
Simplify (2 + -4 + 0 + (sqrt(1000)/sqrt(2) - -4*sqrt(5)*1)**2)*-3.
-2934
Simplify -6*(((sqrt(392)/((sqrt(700) - 1*sqrt(700)) + sqrt(7)))/(2*sqrt(128) - (sqrt(48)*2)/sqrt(6)))**2 + -2)*2.
65/3
Simplify (5*-5*5*(-4 + -4*sqrt(1573)*5 + (-4 + sqrt(1573) + -3 - sqrt(1573))))**2.
75625000*sqrt(13) + 9833140625
Simplify ((-1*((sqrt(440)*2)/sqrt(10) + sqrt(44)))/(sqrt(144)/sqrt(4) + sqrt(36) + -2*sqrt(256)))**2*2.
99/50
Simplify (4 + -2*(2 + -5*(sqrt(720) - (sqrt(720) - (sqrt(720) + 1 + sqrt(720)))) + 1*-1*sqrt(720))*-1*5 + -2)**2.
73920*sqrt(5) + 8712784
Simplify ((-1 + 2*sqrt(2) - -2*sqrt(4)/sqrt(2)) + 4)**2 + -3*((sqrt(120) + sqrt(120)*2 + sqrt(120))/sqrt(6) + sqrt(20))/sqrt(10).
9*sqrt(2) + 41
Simplify (-3 + -5*((sqrt(833) - (sqrt(833) - (sqrt(833) + 1)))*-6 + (sqrt(833) + 1 - sqrt(833)) + -5) + 0)**2.
19740*sqrt(17) + 751909
Simplify 2*(2 + -3*sqrt(192) + 1 + -4 + 0 + sqrt(192) + -4)**2.
320*sqrt(3) + 1586
Simplify ((sqrt(448) + sqrt(28))*-6)/(sqrt(4) + sqrt(64) + (sqrt(64) - (2*sqrt(64) - sqrt(64)))) - (2 + sqrt(28)/sqrt(4) + sqrt(28)/sqrt(64) + -5).
-29*sqrt(7)/4 + 3
Simplify (sqrt(45) + sqrt(360)/sqrt(32) + sqrt(225)/sqrt(5) + sqrt(45) + 2 + (4 + sqrt(5)*-2 + (sqrt(180) + -2 - sqrt(180)))*4)**2.
50*sqrt(5) + 525/4
Simplify (-6*((5*sqrt(72)*-1 - sqrt(72))*3 + 2 + (-1 + sqrt(72) + -1 - sqrt(72))) + -2)**2.
-2592*sqrt(2) + 839812
Simplify 4*(0 + 2 + 4 + (sqrt(12) - ((sqrt(1452) - sqrt(1452)*4) + sqrt(12)) - sqrt(12))/(sqrt(6) + sqrt(72)/sqrt(1200))).
24 + 1280*sqrt(2)/11
Simplify ((-6*sqrt(1400) - sqrt(896)*5)*-4)/((-1*sqrt(1200))/(-2*sqrt(486))).
720*sqrt(7)
Simplify ((-1*sqrt(81)*-6)/(sqrt(3) + sqrt(12)/sqrt(4)*-2))/((sqrt(36)*-2 - sqrt(9)) + -3*sqrt(81)).
3*sqrt(3)/7
Simplify (-2*sqrt(1100) + 3)*-4 + ((sqrt(1100) - 1*(2 + sqrt(1100))) + -2)**2 + 3.
7 + 80*sqrt(11)
Simplify -4 + -5*(-5*-2*(5 + sqrt(432) + -5 + (6*(sqrt(432) + (sqrt(432) + -1 + sqrt(432) + sqrt(432) - sqrt(432))) - sqrt(432))))**2.
-70002004 + 1296000*sqrt(3)
Simplify (3*1*sqrt(2736) - (sqrt(2736)*2*1 + sqrt(2736)))**2 - -3*(-2*(-1 + sqrt(2299)) + sqrt(2299) + (6*sqrt(2299)*1)**2).
-33*sqrt(19) + 248298
Simplify (sqrt(135) + sqrt(135) + -1*sqrt(135) + sqrt(135) - (sqrt(150)/sqrt(250) + sqrt(15)))/(sqrt(20)/(sqrt(36) + sqrt(4)) - sqrt(90)/sqrt(2)).
-96*sqrt(3)/55
Simplify -5 + sqrt(1216) + 0 + -1*sqrt(19)*-3 + (-4 + sqrt(1216) - sqrt(1216)) + (-1*sqrt(57)/sqrt(3) - sqrt(19)).
-9 + 9*sqrt(19)
Simplify -2 + (6*(sqrt(42) - -2*sqrt(168)))/(sqrt(96) + (sqrt(96) - ((sqrt(96) - -1*sqrt(96)) + sqrt(96) + sqrt(96) + sqrt(96) - sqrt(96)))*-2) + 5.
15*sqrt(7)/14 + 3
Simplify (-3*2*(sqrt(21) - ((2*sqrt(231))/sqrt(11) + sqrt(21))))/(-3*(sqrt(7623)*-2 - sqrt(7623))/sqrt(9)).
4*sqrt(3)/33
Simplify 5*(3 + (sqrt(33)/(-3*sqrt(99)) - (4 + -2*sqrt(3))*5))**2.
-15130*sqrt(3)/9 + 78620/27
Simplify (6*2*sqrt(720)*-6)/(((sqrt(2880) - ((sqrt(2880)*-1 - sqrt(2880)) + sqrt(2880)) - sqrt(2880)) + sqrt(45) - sqrt(45))/(sqrt(5) - sqrt(800)/sqrt(10))).
108*sqrt(5)
Simplify ((sqrt(168)*-2*-6)/(sqrt(28)*-6))/((6*sqrt(84)*2)/((2*sqrt(56))/sqrt(8))).
-sqrt(2)/6
Simplify (6*(((sqrt(245) + 2)*1 - sqrt(245)) + sqrt(245)*-1 + 2 + -1) + 4)**2.
-1848*sqrt(5) + 9304
Simplify (1*(0 + 0 + sqrt(1100) - sqrt(1100)))**2 + (sqrt(1331) + sqrt(1331) + ((1 + -1 + sqrt(1331))**2 - sqrt(1331)) - ((-2*sqrt(1331))**2 + -3)) + 1.
-3989 + 11*sqrt(11)
Simplify (6*-4*(-3*sqrt(68)*-3 - sqrt(68) - sqrt(68) - sqrt(68)))/((sqrt(200)/(sqrt(5)*-1))/(2*sqrt(810))).
2592*sqrt(17)
Simplify (3*((2*sqrt(91)*4 - sqrt(91) - sqrt(91)) + -2*sqrt(91)*3))/((5*1*sqrt(77))/(sqrt(891)*-2)).
0
Simplify -3*((-2*(-5 + sqrt(10)/sqrt(2)) - 4*(3 + sqrt(5) + 1)) + 2)*-4.
-72*sqrt(5) - 48
Simplify -3 + (0 + sqrt(684))*5 + 4 - ((sqrt(95) + sqrt(95) + -3*sqrt(95))*-2)/(sqrt(5) - sqrt(35)/sqrt(252)).
1 + 138*sqrt(19)/5
Simplify 5 + 1*(2 + ((sqrt(1872)*1 + -5)**2 - (-1 + sqrt(1053))*-2)).
-102*sqrt(13) + 1902
Simplify ((sqrt(77)*4*-1 - sqrt(77))*2)/(sqrt(1008) + 5*(sqrt(1008) + 3*sqrt(1008) - sqrt(1008)) + sqrt(1008)).
-5*sqrt(11)/102
Simplify ((sqrt(832) - -6*(0 + sqrt(832)) - (-1*sqrt(832) + 3))*-2 - ((sqrt(832) + 1 + sqrt(832))*-6 + -4 + 0))**2 + -4.
-1024*sqrt(13) + 13564
Simplify ((-1*sqrt(3159))/(sqrt(75) - (sqrt(75)*-4 - sqrt(75) - sqrt(75))))**2 - (1*(sqrt(13) + sqrt(13)*-1 + 4) - (sqrt(13) + 5*sqrt(13)*1)*-6).
-36*sqrt(13) - 3847/1225
Simplify (4*sqrt(208) + 4)**2*-6 + -4 - ((sqrt(208)*1 + 2 - (4 + sqrt(208)*-2))**2 + 3).
-21947 - 720*sqrt(13)
Simplify (-4*(sqrt(21) + 2*sqrt(336) - (sqrt(21) + sqrt(756)*-2)))/((sqrt(7) - sqrt(560)/sqrt(5) - -3*sqrt(112))*-3).
80*sqrt(3)/27
Simplify -4 + (sqrt(175) + (sqrt(175) - ((sqrt(175) - sqrt(175)*3) + sqrt(175))))*5*3 + (-4 + (-2*sqrt(7))**2 - (sqrt(28)*2)**2) + 3.
-89 + 225*sqrt(7)
Simplify (sqrt(21)/(sqrt(15)/sqrt(5)) + (sqrt(84)/sqrt(4))/sqrt(3) + -5 + -4 + sqrt(14)/sqrt(2) + -3)**2 + -4.
-72*sqrt(7) + 203
Simplify 5 + (-2 + -2 + -6*(sqrt(300) + 2 + sqrt(300) + -4) + 1)**2.
-2160*sqrt(3) + 43286
Simplify (-3*2*(4 + ((2 + sqrt(432))*5 - sqrt(432) - sqrt(432)*-1*2))*-1 + -5)**2.
68256*sqrt(3) + 566113
Simplify (sqrt(60) - (sqrt(60) + sqrt(60)*-2*-6))/(sqrt(36)/(sqrt(12)/sqrt(4))) + (1 + sqrt(5) + -5 + sqrt(100)/sqrt(5))**2*-5.
-305 + 108*sqrt(5)
Simplify (4 + ((((1*sqrt(459))/sqrt(9))/(sqrt(12)/(sqrt(4)*1)) + -3)*1)**2)*-2.
-60 + 12*sqrt(17)
Simplify -2*(-3 + sqrt(48))**2*1 + (-2 + 4*sqrt(3) - (-4*sqrt(12))/sqrt(4)).
-116 + 56*sqrt(3)
Simplify (-4 + 4*((sqrt(176) - (-4 + sqrt(176)*2)) + 5*sqrt(176)*3) + -3)**2.
4032*sqrt(11) + 552017
Simplify
|
{
"pile_set_name": "DM Mathematics"
}
|
-1. Give n(z).
-3
Suppose 4489*v = 4484*v. Let a(k) = -k**3 + k + 9. Give a(v).
9
Let w be (-6)/16*((-140)/(-90) + -2). Let k(g) be the second derivative of -w*g**3 + 2*g + 0 - 3/2*g**2. Determine k(-5).
2
Suppose 2*y - 13 = -o, -y + 3*o = -3*y + 19. Let j(x) = 5*x**2 + x + 3. Let r(m) = 14*m**2 + 4*m + 8. Let s(n) = -17*j(n) + 6*r(n). What is s(y)?
7
Let d(n) = n**2 - 20*n + 34. Let o = -1021 - -1039. Give d(o).
-2
Let n(q) = -q**2 + 4*q + 5. Let g(t) = -2*t - 25. Let u be g(-7). Let o(c) = -c**2 - 11*c + 4. Let p be o(u). Give n(p).
5
Let o be ((-8)/(-6))/(-1)*93/(-62). Let h(p) = 2*p**2 - p - 1. Calculate h(o).
5
Let s = -21 + 38. Suppose 3*y - 5 + s = 0. Let k(q) = -29*q + 31*q - 8*q - 2*q**2 - 6. Give k(y).
-14
Let v(o) be the third derivative of o**4/24 + 7*o**3/6 - o**2. Let l be v(-5). Let w(t) = l - t - 5*t + 4*t. Determine w(-3).
8
Let f(t) = 26*t**2 - 1 - t**3 - 24*t**2 + t + t + 3*t**3 - 3*t. Determine f(2).
21
Let v(h) be the third derivative of h**7/840 - h**6/40 + 7*h**5/120 + h**4/4 + 10*h**3/3 - 47*h**2. Let u(z) be the first derivative of v(z). What is u(8)?
-2
Let w(h) = 2*h - 3. Let i(u) = -u**2 - 10*u + 15. Let z be i(-11). Suppose -34 + z = -5*a - t, 5 = -3*a + 4*t. Suppose 4*x - a - 15 = 0. Determine w(x).
7
Let s(m) = -2*m**2 + 8*m - 2. Let i be s(3). Let a(n) be the second derivative of -n**3 - 1/12*n**i + 0 - 3/2*n**2 + 4*n. What is a(-4)?
5
Let y(h) be the third derivative of 1/6*h**3 + 0*h + 0 - 2/15*h**5 + 10*h**2 + 0*h**4. Let l = 0 - 1. Determine y(l).
-7
Let l(x) = x**3 - 7*x**2 - 10*x + 5. Suppose 0 = 7*h - 40 - 16. Calculate l(h).
-11
Let v = 615 - 614. Let j(g) = -13*g. Determine j(v).
-13
Let b be (-126)/(-24) + 1/(-4). Let y(m) = m**3 + 8*m**2 - 2*m + 9. Let n(d) = 3*d**3 + 17*d**2 - 4*d + 20. Let l(z) = -2*n(z) + 5*y(z). Determine l(b).
20
Let f(c) = -c**2 + c - 2. Let w(h) = 2*h**2 + 5*h + 3. Let o(u) = f(u) + w(u). Suppose 4*i - 4*a + 35 = -a, -4*a - 5 = 5*i. Determine o(i).
-4
Let t(m) be the third derivative of m**5/20 + m**4/12 + m**3/3 + 208*m**2. Give t(-2).
10
Let m(a) = -17*a - 303. Let g be m(-18). Let h(r) be the second derivative of 2/3*r**3 - g*r - 1/12*r**4 + 0 + 3*r**2. Give h(5).
1
Let a = 17 + -63. Let d be (0 + 2)*a/(-4). Let r = 28 - d. Let q(i) = -3*i + 1. Determine q(r).
-14
Let o = -6 - -41. Suppose o = p + 4*p. Let l(q) = q**2 - 8*q + 5. Give l(p).
-2
Let o(b) = -b + 1. Let g(v) = -11*v + 4. Let r(c) = -2*g(c) + 14*o(c). Calculate r(-2).
-10
Let x(a) = -a**3 - 6*a**2 + 9*a - 2. Let n(g) = g**2 + 8*g + 2. Let y be n(-8). Suppose 2*q = -2*w - 18, -y*w + w - 4*q = 15. Give x(w).
-16
Let b(m) = 3*m**2 - 5*m - 2. Let r = -190 + 198. Let h = 7 + -4. Let l(u) = -u**2 + 2*u + 1. Let k(a) = h*b(a) + r*l(a). What is k(2)?
8
Suppose 0 = -13*v + 16*v. Let i be 5*(-2 - 6/(-2)). Let l(b) = -6 + b + 1 - i. Determine l(v).
-10
Let h(u) = 4*u**2 - 19*u + 13. Let q be h(5). Let o(i) = i - 12. Determine o(q).
6
Let d(i) = i + 8. Let u be d(-8). Suppose -2*x + 5*l = -21, 4*l + u = -3*x - 3. Let j(k) = 0*k**3 + x*k**3 + 3*k**3. What is j(-1)?
-6
Let z(j) = 17*j + 16. Let d(x) = 19*x + 18. Let f(r) = -5*d(r) + 6*z(r). What is f(-4)?
-22
Let b(g) be the first derivative of -1/2*g**2 + 0*g + 6. Let j(m) = 5*m**3 + 7*m + 1. Let w(t) = -6*b(t) - j(t). What is w(-1)?
5
Let b(w) = -20*w**3 - 3*w**2 + 89*w + 9. Let m(y) = 7*y**3 + y**2 - 31*y - 3. Let u(s) = 6*b(s) + 17*m(s). Calculate u(-3).
0
Let i(x) = -5*x + 181*x**3 + 3*x - 184*x**3 + 1. Give i(1).
-4
Let l(w) = w**3 + 6*w**2 + 3*w - 7. Let m(i) = -9*i - 7. Let z be m(-1). Suppose -2*o + z*t = 4*t + 10, 0 = 3*o + 4*t + 15. What is l(o)?
3
Suppose 0 = -33*w + 29*w + 8. Let o(m) = 0*m**w - 61 + 5*m + m**2 + 60. Let a = -4 + -1. Give o(a).
-1
Let p(d) be the second derivative of d**3/6 - d**2/2 + 2*d. Let q(z) = -z**2 + 2*z + 14. Let o be q(-3). Give p(o).
-2
Let h(b) = -5*b + 2. Suppose 12 = -i - q + 8, 0 = 5*i + q + 16. What is h(i)?
17
Let s(t) = -t**3 + 2*t**2 + 3*t + 2. Suppose -9 + 18 = 3*u. Determine s(u).
2
Suppose -k + 1 = -1. Let t(z) be the first derivative of -2/3*z**3 - 3/2*z**2 + 1/2*z**4 + 3*z + 6. Determine t(k).
5
Let u(x) = 15*x**2 - 3*x - 2. Let y be (-4 - 0)/(4 + -2) - -1. Calculate u(y).
16
Let z(x) = -2*x**3 - 4*x**2 - 4*x - 2. Suppose -23 = 34*y - 29*y - 4*a, -8 = 4*y + 2*a. What is z(y)?
28
Let r(j) = j - 4. Let v = 37 - 43. Let l be ((-2)/(-2))/(2/v). Calculate r(l).
-7
Let i(h) = -h**3 + 7*h**2 - 2*h + 9. Suppose -22 = 4*q - 50. Calculate i(q).
-5
Suppose i + z + 26 = 0, 8*i + 82 = 5*i - 4*z. Let l(g) = 2*g + 46. Give l(i).
2
Let t(w) be the first derivative of w**4/12 + 5*w**3/6 + 5*w**2/2 + 12*w + 8. Let b(u) be the first derivative of t(u). Give b(-4).
1
Let f(z) = 2*z - 5. Suppose 349 = -10*o + 309. Calculate f(o).
-13
Suppose -176*n = 155 - 155. Let c(r) be the first derivative of r**2/2 - 5*r - 1. Calculate c(n).
-5
Let z(p) = -p**3 - 17*p**2 - p. Let y be (-3)/(-2) + (-30)/(-12) + -21. Give z(y).
17
Let t(l) = -l**2 + l + 23. Let a(c) = -c**3 - 3*c**2 + 12*c + 36. Let h be a(-3). What is t(h)?
23
Suppose 5*m = p + 28, -4*m + p = -m - 16. Let h(t) = -2*t + 12. Let g be h(m). Suppose -5*o = -g*o + 25. Let d(u) = u + 7. What is d(o)?
2
Let c(o) be the first derivative of -o**3/3 - 5*o**2/2 - 5*o - 2. Let u(j) = -17*j + 97. Let x be u(6). Determine c(x).
-5
Let t(h) = h**3 - 6*h**2 + 9*h - 2. Let k be t(4). Suppose 0 = -o + 3, 0 = -5*d + k*d + 4*o - 9. Let r(a) = -2*a - 1. Determine r(d).
-3
Let b(m) = m**3 - 7*m**2 + 4*m + 2. Let p(c) = 6*c + 5. Let o be p(-3). Let a = o - -19. Give b(a).
-10
Let q be ((-1)/((-6)/(-14)))/((-2)/6). Suppose 98 = -q*a + 56. Let y(x) = x**3 + 7*x**2 + 5*x + 2. What is y(a)?
8
Let v(t) = 5*t**2 + 2*t - 1. Let k = -22 + 17. Let l(y) = -y**2 - 8*y - 1. Let u be l(-7). Let f = u + k. What is v(f)?
6
Let q(l) = -11*l**3 + 21*l**2 + 3*l + 25. Let o(v) = -5*v**3 + 10*v**2 + v + 12. Let t(j) = -9*o(j) + 4*q(j). What is t(6)?
10
Suppose 108 = -59*p + 580. Let u(x) be the first derivative of p - 3/2*x**2 + 8*x. What is u(6)?
-10
Suppose 11 + 5 = -2*s. Let u(j) = -j**3 - 8*j**2 - j + 2. Let l(k) = k**3 + 8*k**2 + 2*k - 3. Let r(z) = 2*l(z) + 3*u(z). Give r(s).
-8
Let n = 2 - 15. Let a = n - -8. Let q(k) = -k - 6. Calculate q(a).
-1
Let x(b) = 1 - 3*b + 3*b + b. Let u = -1873 - -1867. Calculate x(u).
-5
Let a = 111 + -110. Let s(c) = 3*c**3 - c**2 - c + 1. What is s(a)?
2
Let f(d) = -4 - 14 - 5 + 8 - 2*d. What is f(-7)?
-1
Let n(w) = 2*w - 32. Let c = 1431 + -1414. Calculate n(c).
2
Let b(f) = -4*f**2 - 46*f - 21. Let l be b(-11). Let v(j) = -18*j - 1. Give v(l).
-19
Suppose 3*b = -2*b - 5, 5*v = 2*b - 43. Let y(l) = l**3 + 9*l**2 + l - 9. What is y(v)?
-18
Let y = 7 - 1. Suppose 5*g = 19 + y. Let m(r) = r**2 - 5*r + 7. Give m(g).
7
Let w = -30 - -76. Let m = w + -48. Let g(d) = 2*d + 2. Calculate g(m).
-2
Let c(w) = -w**2 - w. Let t be c(0). Let a(k) = -5*k + t - 1 - 2*k. Let l = 1808 + -1809. Determine a(l).
6
Suppose 8*d - 62 = 10. Suppose -8*o - 15 = d. Let z(g) = -g**2 + 4. What is z(o)?
-5
Let t(r) = -20*r + 13. Let x(c) = -7*c + 4. Suppose 2*p + 3 = -9. Let w(g) = p*t(g) + 17*x(g). What is w(7)?
-3
Let p(v) = -2*v**2 + 3*v**2 + 30 - 29 - v**3 - v. Let c(j) = -5*j**3 + 6*j**2 - 5*j + 2. Let t(i) = -c(i) + 4*p(i). Let m be (3/2)/((-6)/(-8)). Calculate t(m).
4
Suppose 0 = -2*d - 4*a + 14, -d + 2*a - 9 = -8. Let g(h) be the third derivative of 1/24*h**4 + 2*h**2 + 0 + 0*h**d + 0*h. Give g(0).
0
Let m(z) = 0 - 2*z + z + 8. Let a(i) = i**2 - 2*i**2 + 1 + 6*i**2 - 4*i**2 + i. Let p be a(-3). What is m(p)?
1
Suppose 320*z = 321*z - 3*c - 12, 3*z - 5*c - 28 = 0. Let g(t) = -10*t + 60. Calculate g(z).
0
Let a(g) be the second derivative of -3/2*g**3 + 0 - 1/12*g**4 - 7/2*g**2 + 7*g. Give a(-7).
7
Let g(i) be the third derivative of -i**6/120 - 7*i**5/60 + 5*i**4/12 + 7*i**3/3 + 135*i**2. Give g(-8).
-2
Let r(s) = -s**2 + 3*s - 3. Let g = 4 + -1. Let j = g - -17. Suppose -n + j = 4*n. What is r(n)?
-7
Let a(u) = u - 1. Let x(d) = -8*d + 4. Let r(k) = -5*a(k) - x(k). Let s = 1230 - 1233. Determine r(s).
-8
Let x(m) = 3*m**2 + 18*m + 23. Let z be 13 - 4 - (4/2 - 4). Let f(i) = -i**2 - 6*i - 8. Let p(n) = z*f(n) + 4*x(n). What is p(-5)?
-1
Let q(l) = l + 4. Let d be -7 - -1 - ((-30)/(-6) + -2). Let i be q(d). Let
|
{
"pile_set_name": "DM Mathematics"
}
|
1 - 3))*(-3*g + 2*g + 3*g).
-12*g
Expand -d**3 + d**3 + 3*d**3 + 3 - 3 - d**3 + 4*d**3 + 3*d**3 - 6*d**3 + (-2*d**2 + 1 - 1)*(-d + d - d) + 0*d**3 + 3*d**3 - d**3 - 3*d**3 + 8*d**3 - d**3.
11*d**3
Expand s - 3 + 0 - 1 + (0*s + s - 6*s)*(-9 + 0 + 2).
36*s - 4
Expand (0*d - 5*d + 0*d)*(-1 + 1 + d**2) + (-5*d**2 + 0*d**2 + 0*d**2)*(d + 2*d + 5*d).
-45*d**3
Expand (-31*y + 65*y - 33*y)*(0*y + 0*y + y**3)*(2 - 3 + 0).
-y**4
Expand (-2*f**4 + f**4 + 4*f**4)*(-22 - 26 - 42).
-270*f**4
Expand (77*u - 3*u - 27*u)*(-3*u**2 - 4*u**2 + 6*u**2).
-47*u**3
Expand (4 - 3 + 3)*(-82*a**4 - 82*a**4 + 159*a**4).
-20*a**4
Expand (-6*k**2 + 2*k**2 + k**2)*(4 + 2*k - 4)*(-230 + 3 + 4 + (0 - 3 + 1)*(0 - 5 + 4)).
1326*k**3
Expand (-3 + 2*s**3 + 3)*(375*s - 127*s - 5 + 4 + 5).
496*s**4 + 8*s**3
Expand k - 4*k + 5*k + (-2*k - k + k)*(5 + 2 - 5) + 0*k + 2*k - 3*k - 2*k + 3*k - 3*k - 2*k - k + 4*k + 59 - 59 - 97*k.
-101*k
Expand (4 - 4 + 7)*(167*f - 167*f - 4*f**4).
-28*f**4
Expand (-3 + 0 + 2)*(-93 + 45 + 47 - 15*z)*(-4*z + 3*z - z) + (5*z - 2*z - 2*z)*(7*z + 0*z - 2*z).
-25*z**2 - 2*z
Expand -3*j**2 - 2*j**2 + 3*j**2 + (-2*j**2 + 1 - 1)*(6 - 5 - 2) + 0 + 0 + 2*j**2 - 11*j**2 + 335*j - 335*j.
-9*j**2
Expand -2*o**3 + 7*o**3 + 4*o**3 + (o - 3 + 3)*(3 - o**2 - 3) + (22 - 22 - 2*o)*(-2*o**2 - o**2 + 4*o**2).
6*o**3
Expand (2*u + 4*u - 4*u)*(-5*u**2 + 3*u**4 + 5*u**2 + 2*u**4 - u + u + (u**2 + 0*u + 0*u)*(0*u**2 + 0*u**2 - 5*u**2) + 0*u**4 + 3*u**4 - 5*u**4).
-4*u**5
Expand (6*d**3 + 0*d**3 - 2*d**3)*(3*d + 0*d - 5*d)*(-2 + 0 + 1)*(-1 + 3 - 4)*(-d + d + 2*d).
-32*d**5
Expand 10*n**2 + n**2 - n**2 + (3*n + 3*n - 5*n)*(-n - 2*n + n) + (n**2 - n**2 - n**2)*(2 + 2 - 6) - 2*n**2 + 0*n**2 - 1 + 3*n**2.
11*n**2 - 1
Expand 513*p**2 - 513*p**2 - 35*p**4 + (-p**2 - p**2 + 3*p**2)*(-p**2 + 2*p**2 + p**2) + 3*p - 3*p + p**4.
-32*p**4
Expand (6 - 12 + 6 + 31)*(1 - 1 - 6*w).
-186*w
Expand (77 + 5*z**2 - 77)*(-3 + 2 - 2 + (-3 + 0 + 4)*(2 - 5 + 1) + 1 + 0 - 2 - 8 - 4 + 5).
-65*z**2
Expand (-21 + 20 + 9)*(4*x - 5*x + 0*x).
-8*x
Expand (0 - 7 + 3)*(413*b - 766 + 766) + 0*b - b + 0*b.
-1653*b
Expand ((3*y + y - y)*(-2 - 5 + 5) + 2*y - 1 + 1)*(12*y**2 + y + 6*y**2 - 23*y**2).
20*y**3 - 4*y**2
Expand (-2 + b + 2 - 4 + 4 + 3*b - 2*b + 3 - 3 - 6*b + 3*b + 4*b + (0*b - 2*b + 4*b)*(-3 + 1 + 3) + 2 + 0*b - 3*b + 2*b)*(-1 - 6 - 3).
-40*b - 20
Expand (-6*p - 2 + 2)*(-p - 109 - 80 - 46 + 42).
6*p**2 + 1158*p
Expand (s**2 - s**2 - 3*s**2)*(3*s**2 + 2*s - 2*s) + (12*s**2 - 6*s**2 + s**2)*(0*s + 0*s + 2*s**2) - 3 + 3*s**4 + 3 + (0*s + 0*s - 2*s**4)*(4 - 5 + 0).
10*s**4
Expand 2*b**3 + 0*b**3 - 4*b**3 + 3*b - 3*b + b**3 + (-b**3 + 5*b**3 - b**3)*(0 - 6 + 4) - 2*b**3 - 5*b**3 + 4*b**3.
-10*b**3
Expand 7*p - 7*p + 2*p**5 + (2*p - 6*p + 2*p)*(-p**4 - 152*p**3 + p + 152*p**3).
4*p**5 - 2*p**2
Expand (4 + 2 - 4)*(338 + 2*l - 309 - 3*l).
-2*l + 58
Expand (-c**2 - 2*c**2 + c**2)*(2 - 1 + 0)*(-11 + 77*c + 11).
-154*c**3
Expand 2 + 2 - 7 + 2*g - 2*g**2 + (-21*g - 14*g + 28*g)*(g - g + g).
-9*g**2 + 2*g - 3
Expand (-2*s**2 + 4*s**2 - s**2)*((-2 + 2*s + 2)*(8 - 8 + 9*s) - 3*s**2 + 5*s**2 - 4*s**2).
16*s**4
Expand (149 + 152 + 123 - 65)*(0*j + j + 0*j).
359*j
Expand ((2 + 0 + 0)*(i + 0 + 0) - 2*i + 0*i + 4*i)*((-3 + 2 + 0)*(4 - 3 + 1) + (1 + 2 - 4)*(-2 + 5 + 0) - 6 + 6 + 6).
4*i
Expand (82 + 19 - 43)*(2*b**4 + b**4 - b**4).
116*b**4
Expand 0*j + 0*j - 2*j + (-2 - 2*j + 2)*(0 - 3 + 4) + 0 + 0 - 2*j + 2*j - 3 + 3 - 2*j + j - j + 2*j + 0 + 0 - 1 - 3*j + 1 - 3 + 3 + j - 44*j + 3*j - 34*j.
-81*j
Expand 3*q**4 + q**4 + 0*q**4 + (17*q - 3*q + q)*(-q + 4*q - 2*q)*(-2*q**2 + 2*q - 2*q).
-26*q**4
Expand (1 + 1 + 1)*(0 + 0 + 45)*(-i**2 + i**2 - 2*i**2).
-270*i**2
Expand 0 + 3 - 1 - 2*v**5 + (25*v**3 - 60 + 60)*(3*v**2 + 0*v**2 - 2*v**2).
23*v**5 + 2
Expand (-2*f**2 + 1 - 3*f - 1 + (f**2 + 1 - 1)*(2 + 0 - 1))*(-38*f - 3*f - 16*f).
57*f**3 + 171*f**2
Expand 3*x - 5*x + x + (-3*x + 0*x + 4*x)*(-1 - 1 + 3) + 0*x + x + 0*x - x + 4*x - 2*x - x + 3*x - 4*x - 31*x - 72 + 72.
-31*x
Expand (-w**4 - 2*w**4 + w**4)*(-10*w - 2230 + 2230).
20*w**5
Expand (333 + 32*y**2 - 165 - 170)*(y - y + 2*y).
64*y**3 - 4*y
Expand (-184 + 184 + 74*y)*(2*y + 5*y - 12*y).
-370*y**2
Expand c**4 + 5*c**4 - c**4 + 5*c**4 - 5*c**3 + 5*c**3 + (-2*c + 0 + 0)*(0*c**3 - 2*c**3 + c**3) + 13*c**3 + 6*c**4 - 13*c**3.
18*c**4
Expand z**3 - 3*z**3 + z**3 + (-12*z + 19*z**2 + 12*z)*(-11 - 2*z + 11).
-39*z**3
Expand 10 + 5*t - 10 + (5*t - 3*t - 3*t)*(-2 - 3 + 7) - 3 - 1 + 0 - t.
2*t - 4
Expand (0 + 4*d**2 + 0)*(6 - 3*d**2 - 6) - d**4 + 1 - 1 + (-3*d + 3*d + d)*(2*d**3 - d + d) + (-3*d + 4*d + 6*d)*(0*d - d**3 + 0*d).
-18*d**4
Expand (0*x + 0*x + 2*x**2)*(-2 + 2 - 52187*x**2 + 51832*x**2).
-710*x**4
Expand ((3 - 3 - 1)*(0*r**2 - r**2 + 3*r**2) - 6*r**2 + 4*r**2 - r**2 + 2*r**2 - 3*r**2 - r**2)*(-2 - r - 20*r**2 - 32*r**2 + 32*r**2).
140*r**4 + 7*r**3 + 14*r**2
Expand (2*a**3 - a**3 + 0*a**3 + (-4*a**2 + 4*a**2 + 2*a**3)*(-4 + 1 + 1) + 26*a**3 - 25*a**2 + 25*a**2)*(4 - 3 - 3)*(1 - 1 + 1) + 2*a**3 + a**3 - a**3.
-44*a**3
Expand (-i**2 - 2*i**2 + 2*i**2)*(-1 + 1 - 2*i) + 2*i - 2265995*i**2 + 4*i**3 + 2265995*i**2 - 137.
6*i**3 + 2*i - 137
Expand (-j**2 + 3*j**2 + 0*j**2)*(-685936 + 685936 - 1296*j**3).
-2592*j**5
Expand d - d - d**2 + (-3*d + d + 4*d + (4*d + 4*d - 6*d)*(2 + 1 - 1) + 1 - d - 1)*((-25 + 284 - 580)*(d - 9*d + 2*d) + d - d - d).
9624*d**2
Expand (-2*c**3 + c**3 + 2*c**3)*(24*c + 8*c - 5*c + 2*c + 5 - 5 + (3*c + 3*c - 4*c)*(0 + 4 - 2) + 2*c - c - 2*c + c - c + c + 10*c - 8*c + 2 - 9*c).
26*c**4 + 2*c**3
Expand -2*n + 0 + 0 + (-28*n + 7*n - 3*n)*(1 - 4 + 2) + 3*n + 0*n - n - n + 0*n + 3*n.
26*n
Expand -d**3 + d**3 - d**3 + (3*d**2 - 5*d**2 + 0*d**2)*(-d - d + d) + (1 - d - 1)*(-20*d**2 - 101*d**2 - 59*d**2).
181*d**3
Expand (-4*m + 0*m + 5*m)*(-1144 + 2829 + 3748 + 1170 - 226).
6377*m
Expand (-z + 0*z - z + (0 - 3 + 1)*(2 + 2*z - 2) + (0 + 0 - 2)*(-5*z + z + 7*z))*(65*z**2 - 201 + 201).
-780*z**3
Expand 2*k**5 - 2*k**5 - k**5 + (k**2 - k**2 + 2*k**4)*(354 + 6*k - 354) + 0*k**5 - 2*k**5 + k**5.
10*k**5
Expand 2 - r**2 + r**2 + r**2 + 161*r**2 + 4701*r - 4701*r + (0*r**2 + 2*r**2 - 3*r**2)*(1 - 3 + 1).
163*r**2 + 2
Expand (0 - 4 - 2)*(0 - 5 + 1)*(o**2 - 26*o**2 - 3*o**2).
-672*o**2
Expand -5*g**5 + 3*g**5 + 4*g**5 - 133*g**4 + 54*g**5 + 133*g**4 + (0*g + 0*g - 2*g**2)*(-3*g**3 + g**3 + 4*g**3) - g**4 + 2*g**5 + g**4.
54*g**5
Expand 3*x**5 + 0*x**5 - 6*x**5 + (0*x**2 - 2*x**2 + x**2)*(5*x + 2*x**3 - 5*x) - 8*x**3 + 8*x**3 - x**5 + 30*x**3 - 12*x**5 - 30*x**3.
-18*x**5
Expand (2*y**3 - 4*y**4 - 2*y**3)*(467*y - 464*y - 28 + 4).
-12*y**5 + 96*y**4
Expand (-3*j + 2*j - 5*j)*(-2*j + j - j) + 71 - 88*j**2 - 71 + (-2*j**2 + j**2 + 0*j**2)*(1 - 3 + 1).
-75*j**2
Expand -79*q**5 - 50*q**5 - 111*q**5 - q**4 + q**4 - 3*q**5 + 6*q**5 - q**5 - 4*q**5 + (-2*q**4 + 0*q**4 + 4*q**4)*(-q + 4*q - q).
-238*q**5
Expand (7*n + 7*n - 7*n)*(2*n**2 + 0*n**2 + 0*n**2)*(-3*n**2 + 3*n**2 + 2*n**2).
28*n**5
Expand (-4*n**3 + 2*n**3 + 0*n**3)*(7*n - 25*n + 32*n).
-28*n**4
Expand (5*g - 4*g + 0*g)*(23*g + 56*g + 12*g).
91*g**2
Expand -5*x**3 + 2*x**3 + 0*x**3 + (3*x**3 - 2*x**3 + 2*x**3)*(-4 - 1 + 4) + (3*x - 9*x + 7*x)*(-x**2 - 1 + 1).
-7*x**3
Expand (-2*i + 4*i - i)*(-2*i**3 - 2*i**3 + 2*i**3) + 3922*i**2 - 236*i**4 - 3922*i**2 + 3*i**2 - 3*i**2 - i**4 + (2*i**4 + 0*i**4 - i**4)*(-4 + 4 - 1).
-240*i**4
Expand (-313 + 313 + 68*y)*(0*y + 4*y + 3*y)*(-1 - 4 + 6).
476*y**2
Expand -m**2 + 0*m**2 + 2*m**2 + (2*m - m + m)*(4*m - 3*m + 0*m) - 146*m**2 + 767 + m - 767.
-143*m**2 + m
Expand -35*p**4 + 86*p**3 - 86*p**3 - p**4 + 4*p**4 - 2*p**4 + (-1 - 1 + 4)*(-2*p**4 - 2*p**4 + 2*p**4) + 5*p**4 - 3*p**4 - 3*p**4.
-39*p**4
Expand (-k + 2*k - 2*k + (-5*k + 3*k + 4*k)*(1 - 2 - 1) + 2*k - 2 + 2 - 2*k + 3*k + 0*k)*(3*k + 2*k - 2*k)*((k - 4*k + 2*k)*(-1 + 2 - 2) - 1648 + 65*k + 1648).
-396*k**3
Expand (-4*k + 2*k + 0*k)*(-27 - 25 + 13)*(0*k - 2*k - 2*k) + 0 + 0 - k**2.
-313*k**2
Expand -28*l + 45*l**2 + 28*l + (-l - 4 + 4)*(l - l - 2*l) - 2*l + 2*l + l**2 + 0*l + 0*l + l**2 - 3*l**2 - 3*l**2 + 5*l**2.
48*l**2
Expand (8 - 1 - 3)*(-13 - 36 - d + 10).
-4*d - 156
Expand (-3*m + 4*m + 0*m)*(125*m + 87*m - 3*m + 123*m).
332*m**2
Expand (1409*s + 11*s**2 - 1409*s)*(-s - 4*s + 0*s).
-55*s**3
Expand (96 - 6 + 3)*(2
|
{
"pile_set_name": "DM Mathematics"
}
|
.8879 times -0.2
0.57758
What is the product of 1063496 and 1.19?
1265560.24
What is 41671748 times 2?
83343496
-0.3*-16660051
4998015.3
232390 * 0.062
14408.18
Calculate 9192353*0.4.
3676941.2
What is the product of -0.0184 and 95794?
-1762.6096
-1698.2 times 5621
-9545582.2
Multiply -0.0107 and 14760.
-157.932
What is 273346.968 times -0.4?
-109338.7872
1807131 times -2.2
-3975688.2
Calculate 20.25793*0.26.
5.2670618
What is -0.3 times -7709.14?
2312.742
4944551 * -0.02
-98891.02
What is the product of -0.0970166 and 31?
-3.0075146
Product of 1329.7 and -1228.
-1632871.6
-58.5116*0.09
-5.266044
-1.155 times -1252
1446.06
Work out -1372034.2 * -3.
4116102.6
Product of -5.58 and 49.3685.
-275.47623
What is -0.6434 times 1.39?
-0.894326
Work out 9 * -15430414.
-138873726
Multiply 0.4 and 12.754077.
5.1016308
Product of 0.1 and -465.8418.
-46.58418
Calculate -644262600*-3.
1932787800
Multiply 0.12 and -1115206.9.
-133824.828
-0.1*138065570
-13806557
Calculate -1011762*16.
-16188192
What is the product of -555925 and -11?
6115175
-25387240 * -4
101548960
What is the product of 0.424 and 438495?
185921.88
What is 7632275 times -0.5?
-3816137.5
Calculate -0.7834475*-0.2.
0.1566895
Multiply -13.4332342 and 7.
-94.0326394
Multiply -5894.04 and -0.8.
4715.232
0.063*-899020
-56638.26
Product of -3 and 345.51846.
-1036.55538
Calculate 42*-839082.
-35241444
Calculate -619226*87.
-53872662
What is 0.524162 times -0.0054?
-0.0028304748
Multiply -30063 and -0.061.
1833.843
What is the product of -381.2 and 6991?
-2664969.2
-1.1 times 0.0133662
-0.01470282
Calculate -5.5637*5441.
-30272.0917
Product of -16.15 and 34.56.
-558.144
-40161556*3
-120484668
Multiply -0.02 and -0.2996218.
0.005992436
-663797 times -637
422838689
Product of 10197 and -1821.
-18568737
What is -1 times -59824114?
59824114
What is the product of -0.01064 and 2.4564?
-0.026136096
-8244 times 82.11
-676914.84
Work out -52.36 * 1.
-52.36
1668618.3 * -0.3
-500585.49
-0.051464 times -1.1
0.0566104
Product of -17 and -0.439224.
7.466808
What is 0.1846 times 19250?
3553.55
0.3 times -10037.99
-3011.397
330.30915*0.13
42.9401895
What is the product of -32.38 and 47684?
-1544007.92
-3*-284609
853827
What is -624 times -0.290317?
181.157808
Work out 580 * -5513.
-3197540
What is -69736115 times -0.2?
13947223
What is the product of 0 and -28113727?
0
Product of 4763 and 0.064317.
306.341871
What is the product of 560062 and -23.4?
-13105450.8
Work out -7884422 * -1.
7884422
16 * 1765556
28248896
Product of -0.0612 and 5.684.
-0.3478608
0 * 2.4574203
0
110831 * 0.72
79798.32
0.04792 * 81999
3929.39208
What is the product of -0.32 and -436289?
139612.48
-0.17024069 * -0.3
0.051072207
428.9511*5
2144.7555
Work out -13234850 * 3.
-39704550
Work out 0.1 * -0.610455.
-0.0610455
What is -1.76 times -162.21?
285.4896
Work out 3 * 119501.65.
358504.95
80873 * 9892
799995716
Multiply 971964 and -37.
-35962668
-3 * 30474.87
-91424.61
Work out -27.429 * 5144.
-141094.776
Product of -1043 and 1690.
-1762670
Product of -1479 and -0.016016.
23.687664
What is 2954.6 times 86?
254095.6
What is the product of 6383 and -3.22?
-20553.26
Calculate 157.711*0.79.
124.59169
Multiply -0.482836653 and 2.
-0.965673306
-5795.3 times -2.414
13989.8542
Calculate -26*5903210.
-153483460
What is 0.31 times 322818?
100073.58
-9959 * -708
7050972
1365 times 2051.6
2800434
Calculate -1467*-0.01584.
23.23728
-0.606 * 101261
-61364.166
Multiply -0.9 and -488624.
439761.6
What is the product of -2 and -290.1131?
580.2262
Multiply -5981 and 1.2512.
-7483.4272
Multiply 2505200 and 1.4.
3507280
Calculate 3505.853*-15.
-52587.795
-2257670*-0.098
221251.66
100240872*1
100240872
-7 times 2870717
-20095019
Work out -2067.25 * -1.3.
2687.425
143.34 times -83.9
-12026.226
What is 1 times -339155?
-339155
Multiply -30.5 and -275590.
8405495
What is 565.636 times -16?
-9050.176
-96 * 254085
-24392160
300780.2*1
300780.2
Multiply -59661 and 2992.
-178505712
Multiply -0.3 and 3.328137.
-0.9984411
Calculate 29*-442234.
-12824786
-0.06565079 * -0.2
0.013130158
Calculate 5.707*-9407.
-53685.749
Multiply -384.595359 and 0.3.
-115.3786077
-338086.28 * -9
3042776.52
What is -10756 times -57343?
616781308
-842.2 times 3.79
-3191.938
What is 10096 times 1356?
13690176
-3 times 154345.06
-463035.18
Product of 0.0399483 and -1.
-0.0399483
1 times -0.1812182
-0.1812182
What is the product of -3372152 and -26?
87675952
Multiply -936986 and -0.13.
121808.18
What is 26936 times -131?
-3528616
Work out -8.85 * -435.
3849.75
What is 0.54 times 16791.8?
9067.572
-621493 times 0
0
Calculate -19670*-433.
8517110
What is 169 times -2997474?
-506573106
12*-9737883
-116854596
Calculate 3.7999*-13.75.
-52.248625
Work out -1 * 4.4966911.
-4.4966911
Product of -125 and -151927.
18990875
Work out 0.9491863 * 0.3.
0.28475589
0.41*630816
258634.56
3*-20857205
-62571615
Work out 822923 * -6.
-4937538
What is 7.486 times 1005?
7523.43
18.60721 * -5
-93.03605
Product of 112665.3 and -2.07.
-233217.171
What is the product of -2990.4344 and 0?
0
-105242*1.091
-114819.022
What is the product of -1.05 and -0.02049?
0.0215145
0.5 times -5462663
-2731331.5
Product of 0.07 and 1126689.
78868.23
-5882415*-3
17647245
Work out -19 * -28354.
538726
-3*29851262
-89553786
-14*-52.04437
728.62118
Multiply 134.536 and 246.6.
33176.5776
-0.03 * -41322.3
1239.669
-1069041223 times 3
-3207123669
Calculate 228*-248.6637.
-56695.3236
-10319 * -83.665
863339.135
Product of -0.4 and -0.1279992.
0.05119968
-4480 * 0.0351
-157.248
Multiply 1.9826 and 0.0176.
0.03489376
-0.89867*-49
44.03483
1.5966 times -394.9
-630.49734
Multiply -0.2 and -48.266342.
9.6532684
1 * 5.81572
5.81572
-22.91 times 1433.6
-32843.776
Calculate -3*74.43581.
-223.30743
1566.6778 times -0.1
-156.66778
-1.2 times 223164
-267796.8
Multiply 1488 and -11047.
-16437936
Calculate -3.9*5602.1.
-21848.19
-0.1 * 71638602
-7163860.2
Multiply -0.1 and -23438199.
2343819.9
-0.0206 times -0.24826
0.005114156
Multiply 40464335 and -0.1.
-4046433.5
Multiply 2315314 and -7.3.
-16901792.2
What is -0.03 times -1226648?
36799.44
Work out -1177527 * -231.
272008737
-568 times 0.62383
-354.33544
Multiply 1.16956 and -6.01.
-7.0290556
Calculate 1158*188.
217704
What is the product of -0.066 and 370428?
-24448.248
-6265.884 times -8
50127.072
3225828.3 * 0.4
1290331.32
Work out -4128 * -3677.
15178656
Product of -4 and -0.5361857.
2.1447428
1038641 * -3
-3115923
Multiply 4770 and -9.969.
-47552.13
What is -0.2855 times 0.151?
-0.0431105
2*-27342.23
-54684.46
Product of -0.05 and -64.67007.
3.2335035
Calculate 1*-1748868.
-1748868
Multiply 1.76 and 287754.2.
506447.392
-1.44 times -41048
59109.12
Calculate 2*63.15141.
126.30282
What is the product of -108.5 and -7519.2?
815833.2
-0.449 * -144.395
64.833355
0.721*-4929
-3553.809
Calculate -0.3*4402.346.
-1320.7038
Work out 2.978963 * 1.
2.978963
Calculate 8788*24.
210912
What is the product of 29 and 11.38?
330.02
0.4*-1251394
-500557.6
What is the product of -39222 and -0.103?
4039.866
Multiply -4788 and 0.3555.
-1702.134
What is 1.0707 times 0.406?
0.4347042
-0.81944 times 282
-231.08208
-47957433 * -0.11
5275317.63
What is 0.1304 times 9432?
1229.9328
0.3 * 6049493
1814847.9
Calculate 218583*-199.
-43498017
Product of -0.2008997 and 0.049.
-0.0098440853
83187 times 0.036
2994.732
Product of -3.53896 and 3.95.
-13.978892
Product of -31873 and 4.54.
-144703.42
-0.3*78441444
-23532433.2
Product of 1114.2 and 0.13.
144.846
0.1512*12519
1892.8728
-14.705702 * 3
-44.117106
Calculate -15.970462*-5.
79.85231
-17877 * -1307
23365239
Product of -0.2 and 142782982.
-28556596.4
-17556*-1.03
18082.68
Multiply 57258827 and -1.
-57258827
Multiply -34 and -7521736.
255739024
-907 * 9113
-8265491
Multiply -258 and 3192.89.
-823765.62
-51333.7 times 560
-28746872
What is 17893 times -0.18?
-3220.74
Work out 0.2 * 0.2154145.
0.0430829
-29*4027898
-116809042
Calculate 0.08*-0.1117205.
-0.00893764
-0.6 * 13129.631
-7877.7786
19209564 times 0.4
7683825.6
Calculate -405657261*-0.5.
202828630.5
Calculate -6.99*-3243.6.
22672.764
Product of -1689 and -9106.
15380034
Work out 5302.3664 * 0.2.
1060.47328
What is the product of 4002.9 and -19?
-76055.1
Work out 122350 * 221.
27039350
Multiply 65183 and -193.
-12580319
M
|
{
"pile_set_name": "DM Mathematics"
}
|
letters picked without replacement from {f: 4, b: 2, g: 10}. What is prob of picking 2 f?
1/20
Calculate prob of picking 1 y and 1 l when two letters picked without replacement from kqkkvqqkyccykyl.
1/35
Two letters picked without replacement from {s: 3, u: 5, v: 5, b: 1, t: 1}. What is prob of picking 1 u and 1 s?
1/7
What is prob of picking 1 u and 1 y when two letters picked without replacement from {u: 1, q: 2, g: 4, y: 1}?
1/28
Two letters picked without replacement from lellelke. What is prob of picking 1 k and 1 e?
3/28
Four letters picked without replacement from {o: 1, h: 3, x: 6, e: 3, y: 1}. Give prob of picking 2 x, 1 y, and 1 h.
45/1001
Two letters picked without replacement from {t: 1, p: 3, w: 6, v: 1, r: 1}. Give prob of picking 2 w.
5/22
Four letters picked without replacement from {e: 1, w: 2, d: 2, j: 1, b: 1, k: 1}. What is prob of picking 2 d and 2 b?
0
Four letters picked without replacement from {f: 8, c: 3}. Give prob of picking 2 c and 2 f.
14/55
Two letters picked without replacement from ggfwwgwgwfgggggg. Give prob of picking 2 g.
3/8
Calculate prob of picking 1 c, 1 h, and 1 p when three letters picked without replacement from pvrjjhcrvvhc.
1/55
Calculate prob of picking 1 k and 2 p when three letters picked without replacement from pkpppppeep.
7/40
Three letters picked without replacement from {i: 1, s: 2, p: 1, v: 4}. What is prob of picking 1 p, 1 v, and 1 s?
1/7
What is prob of picking 1 x and 1 y when two letters picked without replacement from zxxxyxxuxuurzuxufuyx?
8/95
Two letters picked without replacement from gvvhhvqvvqhhyqqh. What is prob of picking 2 v?
1/12
What is prob of picking 1 z, 1 e, and 1 x when three letters picked without replacement from {z: 4, x: 5, q: 4, t: 1, e: 1}?
4/91
Calculate prob of picking 1 i and 3 w when four letters picked without replacement from iiiiwiiwwiiwwwiwwiww.
80/323
What is prob of picking 1 q and 1 w when two letters picked without replacement from {q: 1, i: 2, w: 4, t: 1, n: 4, s: 2}?
4/91
What is prob of picking 2 f when two letters picked without replacement from akfyffafyaaahay?
2/35
What is prob of picking 1 s and 1 g when two letters picked without replacement from {g: 4, s: 3}?
4/7
Calculate prob of picking 1 k and 1 x when two letters picked without replacement from {k: 3, x: 9}.
9/22
Calculate prob of picking 1 y and 1 f when two letters picked without replacement from {m: 1, b: 2, f: 1, n: 1, y: 1, c: 1}.
1/21
Two letters picked without replacement from {f: 2, h: 1, w: 7}. What is prob of picking 2 w?
7/15
Calculate prob of picking 2 i when two letters picked without replacement from {x: 1, i: 2, h: 1, q: 1}.
1/10
Two letters picked without replacement from emllmnlfleldlelln. What is prob of picking 1 f and 1 n?
1/68
Two letters picked without replacement from wjwjw. Give prob of picking 1 j and 1 w.
3/5
What is prob of picking 1 f and 1 j when two letters picked without replacement from {d: 3, a: 3, c: 2, j: 1, f: 1, w: 1}?
1/55
Calculate prob of picking 2 n when two letters picked without replacement from udnununnnuduuu.
10/91
Two letters picked without replacement from {r: 3, w: 4, i: 4, f: 2, m: 1, c: 6}. Give prob of picking 1 m and 1 r.
3/190
Calculate prob of picking 3 b and 1 y when four letters picked without replacement from {b: 14, c: 5, y: 1}.
364/4845
Two letters picked without replacement from rppripppiproipo. Give prob of picking 1 r and 1 i.
3/35
What is prob of picking 1 l, 1 v, and 1 c when three letters picked without replacement from lfcvclccvcvccvc?
64/455
Two letters picked without replacement from jhrhrjrjjinirijjrr. Give prob of picking 2 h.
1/153
What is prob of picking 2 m when two letters picked without replacement from wmm?
1/3
What is prob of picking 2 v and 1 n when three letters picked without replacement from vvvn?
3/4
Calculate prob of picking 2 g and 1 c when three letters picked without replacement from {e: 2, g: 3, s: 3, h: 2, c: 3}.
9/286
What is prob of picking 4 y when four letters picked without replacement from euxky?
0
Three letters picked without replacement from kkkkkllkklllll. Give prob of picking 2 k and 1 l.
21/52
Four letters picked without replacement from glllllll. What is prob of picking 4 l?
1/2
Three letters picked without replacement from zdqqzqzqqzzzzqzqq. Give prob of picking 2 q and 1 d.
7/170
What is prob of picking 2 u when two letters picked without replacement from {w: 9, g: 2, u: 5}?
1/12
Two letters picked without replacement from qccccqcsqccqcqqg. What is prob of picking 2 c?
7/30
Calculate prob of picking 1 r and 1 d when two letters picked without replacement from vdvvxdxvwvvdvxvrxvv.
1/57
Three letters picked without replacement from {w: 2, a: 4}. What is prob of picking 2 a and 1 w?
3/5
Three letters picked without replacement from {y: 1, o: 1, x: 2}. Give prob of picking 1 y, 1 o, and 1 x.
1/2
What is prob of picking 1 i and 1 a when two letters picked without replacement from iati?
1/3
What is prob of picking 1 c and 2 k when three letters picked without replacement from ceeoeecrcereqrkekecr?
1/285
Three letters picked without replacement from {a: 2, z: 3}. Give prob of picking 1 z and 2 a.
3/10
What is prob of picking 2 s when two letters picked without replacement from {j: 1, i: 1, x: 3, t: 2, s: 3, p: 1}?
3/55
Calculate prob of picking 1 w and 3 g when four letters picked without replacement from wugggtt.
1/35
Two letters picked without replacement from peppe. Give prob of picking 1 p and 1 e.
3/5
Three letters picked without replacement from {h: 8, a: 2}. What is prob of picking 1 a and 2 h?
7/15
What is prob of picking 3 j and 1 f when four letters picked without replacement from {j: 9, f: 3}?
28/55
What is prob of picking 1 z, 1 n, and 1 r when three letters picked without replacement from {n: 1, z: 1, r: 2, j: 4, o: 8}?
1/280
Calculate prob of picking 3 w when three letters picked without replacement from wppwpppwtttwtppt.
1/140
What is prob of picking 1 t and 1 k when two letters picked without replacement from {w: 2, k: 2, t: 2, x: 3}?
1/9
Four letters picked without replacement from rrxrxkxxskxkx. What is prob of picking 1 x, 2 k, and 1 s?
18/715
Three letters picked without replacement from nnnnnnnnnnnnenn. What is prob of picking 2 n and 1 e?
1/5
Three letters picked without replacement from {b: 4, w: 5, u: 1, e: 3, k: 1}. Give prob of picking 1 w and 2 e.
15/364
Three letters picked without replacement from ddddvvddd. Give prob of picking 1 v and 2 d.
1/2
Four letters picked without replacement from thturtjrrrrtruru. Give prob of picking 3 t and 1 j.
1/455
Calculate prob of picking 1 b and 1 t when two letters picked without replacement from bbbtbbttbt.
8/15
Four letters picked without replacement from iitiiibiiiiitb. What is prob of picking 3 i and 1 t?
240/1001
What is prob of picking 3 p when three letters picked without replacement from {p: 7, v: 6}?
35/286
Calculate prob of picking 1 e, 1 v, and 2 x when four letters picked without replacement from vvxxvxexvvex.
20/99
Four letters picked without replacement from {t: 1, n: 5, f: 1, h: 2}. Give prob of picking 1 f and 3 n.
5/63
Calculate prob of picking 1 s and 1 r when two letters picked without replacement from wsrsssrxx.
2/9
Three letters picked without replacement from nhuhn. Give prob of picking 1 n and 2 h.
1/5
Four letters picked without replacement from zazzraazrzr. What is prob of picking 2 z and 2 r?
1/11
Two letters picked without replacement from xxbxxxxfbxxxxbx. What is prob of picking 1 f and 1 b?
1/35
What is prob of picking 2 h and 1 f when three letters picked without replacement from ghzhf?
1/10
Calculate prob of picking 1 e, 2 q, and 1 o when four letters picked without replacement from {m: 3, e: 1, n: 2, q: 3, z: 1, o: 1}.
1/110
Three letters picked without replacement from {o: 11, y: 3}. What is prob of picking 2 o and 1 y?
165/364
Three letters picked without replacement from {k: 9}. Give prob of picking 3 k.
1
Calculate prob of picking 2 h and 1 d when three letters picked without replacement from dddddhjdjdh.
7/165
Calculate prob of picking 1 x, 1 f, 1 w, and 1 z when four letters picked without replacement from {z: 2, w: 1, f: 2, n: 1, x: 1, c: 1}.
2/35
Calculate prob of picking 1 m and 2 q whe
|
{
"pile_set_name": "DM Mathematics"
}
|
+ 34. Suppose -2*g = -a - 27, -3*g - 3*a - 11 = -4*g. Calculate the lowest common multiple of r and g.
14
Let g be 3/(-12) + 180/16. Let f = g + -2. What is the lowest common multiple of f and 6?
18
Let p be 2/11 + (-255)/11. Let r = -12 - p. Calculate the least common multiple of 1 and r.
11
Let f = 26 + 6. Let y be 6/f*10/(-6). Let a = y + 81/16. What is the common denominator of a and 35/18?
36
Suppose -z = -0*x + 2*x - 6, -5*z = -5*x. Suppose 2*u + 2 = -x. What is the common denominator of (-21)/(-49) + (-159)/77 and u?
11
Let x(b) = -7*b**2 + 2*b + 2. Let f be x(-2). What is the least common multiple of 16 and f/1*4/(-6)?
80
What is the common denominator of -2 + (0 - (-45)/(-6)) and -47/12?
12
Let r be (-1 - -3)*12 - -4. Find the common denominator of (-8)/r - 723/(-105) and 37/6.
30
Let u be -3 + -2 + 917722/44. Let l = u + -20856. Find the common denominator of -143/12 and l.
132
Let v be (-1)/4 + (-6)/8. Let z be 2/(((-2)/(-11))/(-1)). Let g = v - z. Calculate the lowest common multiple of g and 3.
30
Let h(x) = x**3 + 7*x**2 - 8*x + 3. Let t be h(-8). Suppose t*l + 2*l = 0. Let r(s) = -s + 5. What is the smallest common multiple of 2 and r(l)?
10
Let t = 13 + -7. Let b(l) = -1 + 5 - l + 1. What is the smallest common multiple of b(-4) and t?
18
Let z = 287 - 1454/5. What is the common denominator of z and -1/8?
40
Calculate the common denominator of (2/3)/(2/61) and 47/10.
30
Suppose 11*z - 6*z = 170. Calculate the smallest common multiple of 18 and z.
306
What is the common denominator of 5/8 and (54/(-30))/(14/5)?
56
Let l(p) = -2*p - 26. What is the lowest common multiple of l(-15) and 6?
12
Let v be 0 + -1 + (-132)/(-6). Suppose -4*h = -3 - v. What is the smallest common multiple of 16 and h?
48
Suppose 4*k - 6 - 2 = 0. Suppose 0 = 4*c - 10 - k. Find the common denominator of (c/20)/(3/(-202)) and -47/10.
10
Find the common denominator of 13/11 and (-13)/(-65) + (-546)/80.
88
Let k = -274706813/32806 + 391518/47. Let p = 2/349 + k. What is the common denominator of 71/22 and p?
22
Suppose -2*w - 103 + 943 = 0. What is the common denominator of -59/22 and (-279)/w + 2/(-7)?
220
Suppose 4*y + 257 = 3*y. Calculate the common denominator of 4/3 and 9/12 + y/44.
33
Let r = -29 - -90. Suppose g + 4*s + 5 = -3, 0 = 3*g - 5*s - r. What is the common denominator of ((-9)/6)/(g/10) and -50?
4
What is the smallest common multiple of 8 and (-1)/(-3) - 56/(-12)?
40
Suppose -5*b + b + 4*v = -4, -5*v - 9 = -b. Let p = b - -19. Suppose -k - 18 = -4*k. What is the smallest common multiple of k and p?
18
Calculate the common denominator of 63/2 and 104/14 + -7 + 8.
14
Suppose -n = 2*m - 0*n - 7974, 5*m = -2*n + 19933. Let i be (-1040)/352*19*71. Let w = m + i. What is the common denominator of 9/22 and w?
22
Calculate the common denominator of 97/20 and (-1)/((-366)/(-89) - 4).
20
Let d(l) = -l**3 + 4*l**2 + 9*l - 5. Let j be d(7). Let o be j/22*397/(-1). Let q = o + -1605. What is the common denominator of 13/22 and q?
22
Let b = 4 + 1. Let z = -14 + 9. Let a = 11 + z. Calculate the lowest common multiple of b and a.
30
Let y = 0 + 2. Let c = -18 - -25. Let b(z) = -z**2 + 9*z + 2. Calculate the lowest common multiple of b(c) and y.
16
Let y be 12/(-54) + (-22)/(-18). Find the common denominator of (4 - y)/(7/(-3)) and -38/3.
21
Let o be 15/(-36)*66315/2230. Let b = o - -7/446. Find the common denominator of b and 61/20.
40
Let i(l) = l**3 + 4*l**2 - 6*l + 6. Suppose -35 = -7*m + 2*m. What is the smallest common multiple of i(-5) and m?
77
Let p(x) = x**3 - 3*x**2 - 7*x - 11. What is the least common multiple of 5 and p(6)?
55
Suppose -4*d - 24 = -4*n, -5*n = d - 7 - 47. What is the lowest common multiple of 26 and n?
130
Suppose 120 = -7*r + 351. What is the least common multiple of 6 and r?
66
What is the lowest common multiple of -1 + 9 - (19 - 23) and 6?
12
Suppose -5*f + 25 = -0*f. Suppose q - o - 20 = 3*o, -q - f*o = -11. What is the lowest common multiple of q and 18?
144
Let z be (4/70)/((-16)/48156). Let a = z + 1276/7. Calculate the common denominator of a and -31/12.
60
Let s = 16 - 8. What is the least common multiple of s and (-6 - -33)/((-6)/(-4))?
72
Let s = -13 + 12. What is the common denominator of s/(-2) - (-7)/12 and -83/18?
36
What is the common denominator of (-12)/(-30) - (-4)/(-10) and 113/12?
12
Let p = 321/14 - 21. Calculate the common denominator of -27*2*3/(-96) and p.
112
Let b(x) = x**2 + 4*x - 15. Calculate the least common multiple of 24 and b(-7).
24
Let s be -3 - (35681/(-3210) - -3). Let x = 5/321 - s. What is the common denominator of -2/7 and x?
70
Let x be ((-12854)/(-120))/((-78)/3). Let q = x + -1/195. What is the common denominator of -50/7 and q?
56
Let b = -1108097/240318 - 2/13351. Let a = -1/812 + 2690/203. What is the common denominator of a and b?
36
Suppose -s - 18 = -o, 2*s = 3*o - 27 - 24. Let k = -1073/324 + 5/81. What is the common denominator of k and 1/(o/54*8)?
20
Calculate the common denominator of -123/10 and ((-42)/36)/((-1)/(-3)).
10
Let o be ((-8)/10)/(2/(-15)). Suppose 4*s - 50 - o = 0. Suppose -4*k = 5*a - 50, -a = -k - 0*a + 8. Calculate the least common multiple of k and s.
70
What is the common denominator of (-4)/6 - 178/(-132) and (-1)/(-2) - 76/9?
198
Let t = -37591/540 - -1412/27. Let w = t - -317/12. Calculate the common denominator of 99/2 and w.
10
Let n(x) = 2*x**2 - 12*x - 1. Let f be n(6). Let y = 3 - f. What is the least common multiple of 9 and y?
36
Let o be 18/10 + (-4)/(-20). What is the least common multiple of 8 and 25/o*12/15?
40
Let a = 18 + -18. Suppose a = -5*c - 28 + 68. Suppose 32 = f + f. What is the least common multiple of c and f?
16
Let b(r) = -12*r - 6. Let m be b(-7). Suppose 32 + m = 5*w. Calculate the smallest common multiple of w and 14.
154
Let i(t) = 2*t**3 - 4*t**2. Let o = 1 + 0. Calculate the lowest common multiple of o - (-6)/3 - 1 and i(3).
18
Suppose -g = 3*x + 6, 2*x + 20 = -2*x. Suppose -5 = -n + g. Let t = -9 - -17. Calculate the lowest common multiple of t and n.
56
Let q = -139762699/8690990 - 174/56435. Let m = -124776/11 - -11353. Let p = m + q. What is the common denominator of 81/8 and p?
56
Let y(a) = a**2 + 15*a + 9. Calculate the smallest common multiple of y(-15) and 11.
99
Let j(d) be the first derivative of -d**3/3 - 6*d**2 - 13*d - 1. Let g be (1 - 0)*-3*3. Calculate the least common multiple of j(g) and 20.
140
Let x = -57389/16 + 3592. Calculate the common denominator of 63/44 and x.
176
Let d = -4 - -1. Let p be -3 + 6/2 - -10. Let v = p + d. What is the lowest common multiple of v and 6?
42
Let g = 2410 - 77207/32. What is the common denominator of g and (10/6)/((-8)/39)?
32
Find the common denominator of (-2 - ((-22)/4 + 3)) + -46 and -36/25.
50
Calculate the least common multiple of 7 and -1*(-44 - 0)/4.
77
Suppose -3*g = -8*g - 315. What is the lowest common multiple of (g/(-7))/(1 + 0) and 8?
72
Let n(c) = c**3 - 16*c**2 + 29. Calculate the smallest common multiple of 9 and n(16).
261
Let f(n) = n - 1. Let h(r) = -4*r + 24. Let v(b) = -2*f(b) - h(b). What is the least common multiple of v(15) and 4?
8
Let s be 2 + -2 - 1 - -8. Let l(n) = n. Calculate the least common multiple of 4/14 + 26/s and l(3).
12
Let w = -20 + 42. Let r = 13 + -11. Suppose -o - 22 = -r*v + 5, 3*v + 5*o = 21. Calculate the lowest common multiple of v and w.
132
Find the common denominator of 6/40*(-104)/264 and -13/4.
220
Let r(b) = 6*b - 30. Calculate the least common multiple of 3 and r(7).
12
Let w = 43/15 + -313/90. Find the common denominator of w and (-118)/28 - (4 - 3).
126
Calculate the common denominator of 612/(-594)*(-3)/(-4) and 39/8.
88
Suppose -62 = -16*l + 130. Calculate the lowest common multiple of l and 86.
516
Suppose t - 8 = 5*b, 0*b - 18 = 4*b + 5*t. Let o be b/4 - 39/6. Calculate the common denominator of 14/(-40)*(-51)/o and 57/2.
20
Calculate the common denominator of (-2)/(-8)*176/8 and -47/6.
6
Let x(p) = -p**3 + 3*p**2 + 6*p + 5. Let r be x(5). Let n = r + 17. What is the lowest common multiple of 22 and n?
22
Let a be ((-78)/11608)/(36/(-65176)). Let n = -2/1451 - a. What is the common denominator of n and 58/5?
30
Suppose 2*m - 2*y = -2, 2*y = 5*m + 5*y + 45. What is the smallest common multiple of 15/(0 + m/(-4))
|
{
"pile_set_name": "DM Mathematics"
}
|
uppose g + 4*q - 2 = 0, 0*g + j*q = 5*g - 10. Give h(g).
3
Let p(q) = q**3 + 5*q**2 + q + 7. Let v(g) = -g - 14. Let c(k) = k + 13. Suppose -3*j = j - 24. Let d(u) = j*c(u) + 5*v(u). Let b be d(-13). Give p(b).
2
Let x = 3 - -1. Let j(z) = -4*z - z + 3*z + 4. Give j(x).
-4
Let l(r) be the second derivative of r**3/6 - 5*r**2 - 13*r. Calculate l(6).
-4
Let a be (1 - 0)/(2/((-32)/(-4))). Let b(s) = s**2 - 4*s + 1. Calculate b(a).
1
Let v be 2 - (2/2 + 0). Suppose 0 = 2*k - 1 - v. Let m(y) = 5*y**3 - y**2 + y - 1. Give m(k).
4
Suppose -4*q = -4*z, 5*q - 3 = 3*z + 5. Let p(k) be the third derivative of -2*k**2 + 0*k + 0 + 0*k**3 + 1/12*k**q. What is p(-5)?
-10
Let w(n) = -n + 1. Let k(p) be the second derivative of -p**3/3 + 4*p**2 + 4*p. Let x(d) = k(d) - w(d). What is x(5)?
2
Let u(m) = m - 2. Let w(f) = -1. Let b(a) = u(a) - 2*w(a). What is b(1)?
1
Let m(y) = -3*y + 3*y + y - 6. Let o(g) = -6*g. Let h be o(-1). Suppose 0 = 3*n - h - 9. What is m(n)?
-1
Let a(b) = b**3 + b + 4. Let u be a(0). Suppose 4*g = -3*l - u, 9*l + 4 = 4*l - 4*g. Let i(d) = -2 + 0*d - d**2 + d**3 - 3*d + 4*d. Give i(l).
-2
Suppose -5*c - 6 = j - 3, 9 = 3*j - 3*c. Let u(m) = m**2 - 6*m - 7. Let o(i) = 2*i**2 - 13*i - 15. Let l(t) = -6*o(t) + 13*u(t). Give l(j).
3
Let y(g) be the second derivative of g**3/3 - 2*g**2 + 12*g. Determine y(4).
4
Let r(j) = 2*j + 4. Let h(o) = 3*o + 5. Let m(i) = -3*h(i) + 4*r(i). Calculate m(6).
-5
Let x(c) = -2*c - 3. Let i be (-95)/35 - 5/((-105)/(-6)). Give x(i).
3
Let c(x) be the third derivative of -x**6/120 + 7*x**5/60 - x**4/12 + 3*x**3/2 - 10*x**2. What is c(7)?
-5
Suppose 5*n + 30 = 10*n. Let h(s) = s**2 - 8*s + 9. Give h(n).
-3
Let u = 7 + -13. Let d be (12/10)/(u/(-20)). Let h(j) = -j**3 + 2*j**2 + 6*j - 5. Calculate h(d).
-13
Let l(k) be the third derivative of k**7/5040 + k**6/120 + k**5/60 - k**2. Let n(c) be the third derivative of l(c). Let m be 2/(-4)*(2 + -2). Calculate n(m).
6
Let s(d) be the first derivative of 2*d**3/3 + d**2 - d + 1. Let v = -25 + 15. Let b = v + 8. Give s(b).
3
Let j = 1 - 0. Let s be 0/1 + j + 1. Let f(y) = 2*y**3 - 4*y**2 + 2*y. Give f(s).
4
Suppose 2*a = 3*f + 8, f - 1 = 2*a - 5. Let l(c) = a + 0*c**2 + 7*c**3 + 5*c**2 - 8*c**3. Give l(5).
1
Let m(h) = -4*h + 3. Let x(p) be the second derivative of p**3/6 - p**2/2 + 2*p. Let i be x(3). Determine m(i).
-5
Let n(q) be the first derivative of -5 - 3*q - 3/2*q**2. Let v be 3/(30/(-4))*5. Determine n(v).
3
Let o be (-1)/(2 - 1) + 12. Let r(u) = u**2 - u + 9 - o + 10*u**3 + 1. Give r(-1).
-9
Let m(p) = 43*p**3 + 3*p - 3*p**2 - p**2 - 42*p**3 - 1. Give m(2).
-3
Let r(q) = -q**3 - 5*q**2 + 4*q - 2. Suppose -8*n - 48 = -0*n. What is r(n)?
10
Suppose 4*m + 18 = -r - m, -r + 4*m = -18. Let f(j) = -j**2 + 5*j - 2. What is f(r)?
4
Let l(z) = 561*z**2 + 2*z**3 - 563*z**2 - 3*z**3 - 2*z. Give l(-2).
4
Let y(l) be the third derivative of l**4/6 + l**3/6 + 3*l**2. Let c = 1 - 0. What is y(c)?
5
Let k(p) be the first derivative of p**5/40 - p**4/24 - 2*p**3/3 + 2. Let u(h) be the third derivative of k(h). What is u(-2)?
-7
Let x(a) = -3*a**3 - a**2 - a. Let c(j) = j - 1. Let f be c(0). Calculate x(f).
3
Let b(l) = -l**3 - 3*l**2 + 2*l + 9. Let i be b(-3). Let t(r) be the first derivative of 4 + 7/2*r**2 - 1/4*r**4 - 4/3*r**i + 6*r. Calculate t(-5).
-4
Let n = 123 - 69. Let d be (-4)/(-18) + (-120)/n. Let k(r) = r**3 + r. Calculate k(d).
-10
Let i(v) be the second derivative of -2*v**2 - 1/6*v**3 + 0 + 1/4*v**4 + 3*v + 1/20*v**5. What is i(-3)?
-1
Let y(n) = -3*n - 66. Let z be y(-22). Let t(k) = -k**2 + k + 10. Determine t(z).
10
Let x(d) be the second derivative of d**4/12 - 3*d**2/2 + d. Suppose 3*c + 2*c = 35. Suppose 2*n - c + 1 = 3*w, 0 = -3*w - 3*n + 9. Determine x(w).
-3
Let r(b) = -5*b**3 - 4*b**2 + 2*b + 6. Let s(a) = a**3 - 1. Let m(g) = -r(g) - 3*s(g). Give m(-3).
-15
Let j = -12 - -17. Let y(x) = -j*x + 0*x + 3*x. What is y(2)?
-4
Let p = 2 - 1. Let t(k) be the third derivative of -1/6*k**3 + 0*k + 1/60*k**5 + 0*k**4 + 0 - 3*k**2. Calculate t(p).
0
Suppose 5*l = l - 16. Let f(r) = -r + 3. Let u be f(l). Let j(s) = 2*s**2 - u*s - 3 + s + 1 + s + s**3. Determine j(-3).
4
Let n(l) = -l**3 - 12*l**2 - l - 14. Let s be n(-12). Let f(w) = 2*w + 3. Determine f(s).
-1
Let g(o) = o**2 + 3*o - 4. Suppose 0 = 2*m - 4*m - 8. What is g(m)?
0
Let m(n) = n**3 + n**2 - n - 16. Let a = 1 + -1. What is m(a)?
-16
Let q(a) = -a + 1. Let z(i) = 2*i - 1. Let y(w) = 11*q(w) + 6*z(w). Give y(-5).
0
Let f = -9 - -17. Let o(w) = -f*w - w - w + 8*w - 7. Give o(-6).
5
Let w = 3 + -6. Let t(x) = -x - 3. Let q be t(w). Let a(s) = 2 - s**3 + q*s**2 + 0*s**2 - s + s**2 + 0*s**3. Calculate a(2).
-4
Let t(l) = 2*l**3 + 6*l**2 - 2*l - 7. Let k be 15/(-13) - 4/(-26). Let y(q) = -q**3 - q + 1. Let g(x) = k*t(x) - 3*y(x). Determine g(5).
4
Let y(u) = -2*u - 2*u + 7 - u**2 - 3*u + 3*u. What is y(-5)?
2
Suppose 4*d - 33 = -13. Let p(c) = -3 + 5 + 2 - c. Calculate p(d).
-1
Let j(r) = -r - 10. Let d(n) = n**3 + 2*n**2 + 2*n + 1. Let a be d(-1). What is j(a)?
-10
Let a(g) be the third derivative of -g**9/60480 + g**8/3360 - g**7/1260 - g**6/180 - g**5/60 + 3*g**2. Let c(o) be the third derivative of a(o). Determine c(5).
1
Let w(u) = 3*u + 3. Let z = 15 + -18. Give w(z).
-6
Let n be -6 + 11 + -4 - (2 + -3). Let m(r) = r**3 - r**2 - 2*r + 3. Determine m(n).
3
Let h(f) = -3 + 0 + 2*f + f. Let l(z) = 10*z - 10. Let d(i) = 7*h(i) - 2*l(i). Suppose -7 + 3 = 4*u, -3*o + 14 = -2*u. What is d(o)?
3
Suppose -5*f - 12 = -b, -4 = 5*b + 5*f + 26. Let r(q) be the third derivative of q**2 + 0 + 1/6*q**4 + 0*q + 1/60*q**5 - 1/6*q**3. Calculate r(b).
-4
Let a(x) be the third derivative of -x**6/120 + x**5/15 + x**4/3 - x**3/2 - 13*x**2. What is a(5)?
12
Let y(j) = -j**2 - 7*j - 4. Let h = -26 - -21. Give y(h).
6
Let z(k) = -k**3 + 2*k**2 - 2*k - 2. Let q(p) = -p**3 + 5*p**2 + 8*p + 3. Let v be q(6). Let d be (-8)/10*v/(-6). Determine z(d).
-6
Let z(j) = -j + 2. Let p be z(-4). Let i(x) = 0 - 5 + p + 12*x. Suppose -13*f - 3*f - 16 = 0. Determine i(f).
-11
Let c be 1 + ((-2)/1)/2. Let l(p) = -p**3 + p**2 - 5. Determine l(c).
-5
Let c(y) = -y + 2. Let f(t) = 32*t**2 - 14*t - 11. Let b(n) = -11*n**2 + 5*n + 4. Let j(p) = 17*b(p) + 6*f(p). Let u be j(-1). Determine c(u).
-4
Let c(j) = -j**3 + 5*j**2 + 6*j + 2. Let v be c(6). Let p(b) = -3 + 5 - 5*b - 3 + v. Suppose 2*t = -t + 3. Calculate p(t).
-4
Let f(c) = 3*c**2. Let u(z) = -z**2 + 7*z - 5. Suppose 2 = 2*g, -2*o + 0*g + 10 = -2*g. Let h be u(o). What is f(h)?
3
Let j(w) = w**2 + 5*w + 3. Let c be j(-5). Let q(y) = -5*y + c*y + 3*y + y. Calculate q(1).
2
Suppose -4*c - 9 = 7. Let m(b) = -b - b - 5*b**2 - 2*b - b**3. What is m(c)?
0
Let j(s) = -3*s**2 + s - 2. Let p be (-16)/(-6) + 12/(-18). What is j(p)?
-12
Suppose -q - 2*q = -60. Suppose -3*u = -5*z - 1, 2*u + q = 6*u - 2*z. Let i(w) = -w**3 + 6*w**2 + 7*w - 1. Let d be i(u). Let j(c) = c + 1. What is j(d)?
0
Let x = -17 + 25. Let p(q) = -q**3 + 9*q**2 - 10*q + 5. Determine p(x).
-11
Let m(v) be the first derivative of v**5/120 + 7*v**4/24 - 2*v**3/3 - 1. Let o(g) be the third derivative of m(g). Let d = 2 - 6. Calculate o(d).
3
Let m(l) = 3*l + 1. Suppose 2*i = v + 15, -5*v + 5*i = 4*i + 30. Calculate m(v).
-14
Let b(x) = -x**2 - 7*x - 2. Let u be b(-6). Let m(s) = -1 + s + u - 4 - 6. Determine m(0).
-7
Suppose -11 = -4*w + 17. Let y(z) be the third derivative of -z**5/60 + 7*z**4/24 - 2*z**3/3 + 34*z**2. Give y(w).
-4
Suppose 2*z = -4 + 14. Let q be 4/10 + 8/z. Let d(w) = -2*w**q + 11*w + 3*w**2 - 12*w. Determine d(0).
0
Let u(o) = -4*o + 1. Let p be 3/(-9)*-1*9. Let d be -9*(1/p - 0). Let z = d - -2. Determine u(z).
5
Suppose l - 12 = f + 2*f, 4*l - 5*f - 27 = 0. Let p(t) = -3*t**3 + 2*t**3 + t - l*t**2 + t. Let i be ((-2)/(-6))/(20/(-180)). What is p(i)?
-6
Suppose 0 = -5*h - 18 + 8. Let g(s) = 3*s**3 - 5*s**2 - 5*s - 6. Let p(z) = 2*z**3 - 4*z**2 - 4*z - 5. Let v(t) = 3*g(t) - 4*p(t). Calculate v(h).
-4
Let x(v) = -4*v - 2. Let m be (4/(-12))/(1/(-6)). Determine x(m).
-10
Let d(n) = 2*n**3 - 4*n**2 + 4*n - 2. Let a(t) = -4*t - 2. Let u be a(-2). Suppose -3 = 3*z - u*z - 3*i, -2*z + 17 = -3*i. Let p = -2 + z. Calculate d(p).
6
Let b(x) = 5*x**3 - x**2 + 19*x - 3. Let f(q) = q**2 - 4*q - 8. Let v be f(6). Let
|
{
"pile_set_name": "DM Mathematics"
}
|
d derivative of s**5/20 + s**4/12 - s**3/6 + 11*s**2/2 - 7*s. What is the tens digit of z(0)?
1
Let q(k) = 23*k + 22. Let l be q(12). Suppose -8*a + l - 26 = 0. What is the units digit of a?
4
Suppose 170*z = 178*z - 3984. What is the units digit of z?
8
Let l(c) = -170*c - 696. What is the hundreds digit of l(-10)?
0
Suppose -n + 0*n + 504 = -q, -4*n + 2*q + 2006 = 0. What is the units digit of n?
9
Let t = 26 - 20. Suppose t*h = h + 95. Suppose -a + 46 + h = 0. What is the units digit of a?
5
Let t(z) = -z**3 + 31*z**2 + 2*z - 11. What is the units digit of t(-5)?
9
Let q(x) = 4*x**3 - 17*x**2 + 22*x - 3. What is the tens digit of q(10)?
1
Suppose -4*a - 107 = 3*t, 6*t - 4*t - 105 = 5*a. Let c be (a - -5)/(6/(-4)). Suppose -3*w + 54 = -c. What is the tens digit of w?
2
Suppose 5*w - 4016 + 1236 = 0. What is the tens digit of w?
5
Let o = -11 - -19. Suppose -12 = 5*y - o*y. Suppose 37 = r + t, y*r + r - 2*t - 213 = 0. What is the units digit of r?
1
Suppose 4*o - 1 = -5*j, -j + 3*o + 6 - 2 = 0. What is the tens digit of (-230)/(-6) + j + (-2)/6?
3
Let n(c) = -11*c + 1. Let p(d) = -23*d + 1. Let v(m) = -11*n(m) + 6*p(m). Suppose -8 = k + 3*o, 5*k - 2*o - 9 + 15 = 0. What is the units digit of v(k)?
9
Suppose -z + 4*q = 7*q - 22, -q - 6 = -z. Let h(d) = d**2 + 6*d + 6. Let r be h(z). Suppose 6*x + 28 = r. What is the tens digit of x?
2
Suppose 4*t - 13*t + 9846 = 0. What is the units digit of t?
4
Let m = 8 + -10. Let f be 2/(-4)*36/m. Let c = 2 + f. What is the units digit of c?
1
What is the tens digit of (-4227)/(-7) - (6 + 72/(-14))?
0
What is the units digit of -28*(1172/(-16) - -9)?
9
Suppose 0 = -2*y + 6*y + 12. Let v(i) = -i**3 - i**2 + 4*i + 4. Let c be v(y). What is the units digit of 22 - 1 - (12 - c)?
9
Let h(s) = -s**2 + 2*s - 56. Let j be h(0). Let m = j + 35. Let g = m + 36. What is the tens digit of g?
1
Let c(g) = -g**3 - 28*g**2 - 50*g + 84. What is the tens digit of c(-28)?
8
Let k = -87 - -217. What is the hundreds digit of k?
1
Suppose -3*g - 302 = -5*u, 0*u - 178 = -3*u + g. What is the tens digit of u?
5
Let c(q) = -q + 6. Let d be c(6). Suppose d = 4*r - 3*f - 24, -2*f + 1 = 3*r - 0*r. What is the units digit of 1*37/3*r?
7
Suppose -1229 = -5*x + 2*p + 105, -x - 3*p + 277 = 0. What is the tens digit of x?
6
Let c(u) = u + 2. Let i be c(-10). Let k(y) = 8*y + 70. What is the units digit of k(i)?
6
Suppose -5*n + 3*f = -43, 5*n - 4*n + 5 = 4*f. What is the tens digit of n?
1
Let h be (-12)/20 + ((-16)/(-10))/1. What is the units digit of h + 126 - (0 + 1 + -1)?
7
What is the units digit of (-15 + 12)*10280/(-15)?
6
Suppose -5*z + 34 + 71 = 0. What is the tens digit of z?
2
Let t(l) be the second derivative of l**4/12 + l**3/3 + l**2/2 - 2*l. Let x be t(-1). What is the tens digit of (-13)/2*(x - 8)?
5
Let u = -572 + 627. Let g(c) = -2*c - 7. Let o be g(6). Let h = o + u. What is the tens digit of h?
3
Suppose -4*q + 6843 = -997. What is the thousands digit of q?
1
Let y = -46 + 63. Let x = 80 - y. What is the units digit of x?
3
Let x be (46/(-6))/((-11)/132). Suppose v = -2, 3*y - 2*v = -v + x. What is the units digit of y?
0
Suppose -5*h = -3*p - 2420, -2*h = -4*h - 2*p + 952. What is the hundreds digit of h?
4
Let u = 4 - -1. Suppose -4*t - u*o - 61 = -304, -4*t + 3*o = -251. What is the units digit of t?
2
Suppose 0 = -2*r - 0 + 12. Suppose 0 = -r*p + 5*p + 53. What is the units digit of p?
3
Suppose -20*b = -2638 - 1462. What is the tens digit of b?
0
Let t = -410 - -757. What is the hundreds digit of t?
3
Let z = -19 + 27. Let h = z + -1. Suppose 9*d - 56 = h*d. What is the tens digit of d?
2
Let g = -1009 + 1980. What is the hundreds digit of g?
9
Suppose -5*d - 2*w = -9, -d + 0*w = -5*w - 18. Suppose -2*b = -d*s + 31, -s + 0 = b + 3. What is the tens digit of (74/b)/(3/(-12))?
3
What is the hundreds digit of (-4)/5*((-16988)/8 + 6)?
6
Let p = 293 - -238. What is the tens digit of p?
3
Let j(l) = l**2 - 5*l + 6. Let s be (-6 + (-1)/(-1))*1. What is the units digit of j(s)?
6
Suppose -i - 3*q = -89, -2*q = 4*i - 51 - 315. What is the units digit of i?
2
Suppose -4*p + 6361 = 3*n, p - 3*n + 7*n = 1600. What is the thousands digit of p?
1
Let k be 1 + 0 + (-30)/(-6). Let x be (-3 + 60)/(k/(-4)). Let h = x + 68. What is the units digit of h?
0
Suppose -2*u + 0 + 152 = 4*s, -3*u + 84 = 2*s. Suppose -48 = -2*l - 4*x, 0 = 2*l + x + 3 - s. What is the units digit of l?
4
Suppose 17*j + 6 = 18*j. Let q be (-1)/((6/(-3))/6). What is the units digit of ((-86)/(-4))/(q/j)?
3
Let i(t) = -25*t + 15. Suppose 2*c + v + 10 = -3, 3*c = 5*v + 13. What is the tens digit of i(c)?
1
Let m(w) = 7*w + 1. Let o be m(1). Let a(y) = y**3 - 7*y**2 - 12*y + 7. Let j be a(o). What is the units digit of (-80)/j + (-1)/5?
3
Let j = -358 - -686. Suppose 2*m + 2*m = j. What is the units digit of m?
2
Suppose -4*y + 7*y = -36. Suppose -5*w = -q + 143, -q - 57 = 3*w + 32. Let n = y - w. What is the tens digit of n?
1
Suppose -4*q + 1423 = h, h - 749 - 674 = -2*q. What is the units digit of h?
3
Let t(h) = 6*h - 8*h**3 - 3 - 6*h**2 + 4*h**3 - 5*h. What is the tens digit of t(-3)?
4
Suppose -1604 = 6*q - 4322. What is the units digit of q?
3
Suppose 3*j - 3*m = 2*j - 13, 0 = -3*j - m + 11. Suppose 4*c = -j*c + 198. What is the tens digit of c?
3
Suppose 3*y + 0*y - 3*m - 6 = 0, 0 = m - 4. What is the units digit of y/(-10) + 4660/100?
6
Let a(c) = 6*c**3 + c**2 + 11*c + 21. Let s(l) = l**3 - l**2 - l + 1. Let k(f) = -a(f) + 5*s(f). What is the tens digit of k(-7)?
4
Suppose 10*n = n + 549. Suppose -h = w - n, 5*w - w - 229 = h. What is the units digit of w?
8
What is the hundreds digit of 384*72/(-48)*3/(-2)?
8
Let k(t) = -t**3 + 11*t**2 + 15*t + 8. Let n be k(12). Let s(z) = -50*z - 36. Let v(o) = 7*o + 5. Let w(u) = n*v(u) + 6*s(u). What is the tens digit of w(7)?
6
Suppose -3*b = -7 - 2. Let q be (4 - 5) + b + 3. Suppose -38 - 187 = -q*i. What is the tens digit of i?
4
Let k be 698/(-26) - (-18)/(-117). Let j be (-2)/(3 + (0 - 1)) - -53. Let p = j + k. What is the units digit of p?
5
Let u = -1375 - -2472. What is the hundreds digit of u?
0
Let a be (-1)/(5/2)*-5. Suppose a*w = -l + 146, 0 = -5*l - 0*w + 4*w + 660. What is the units digit of l?
6
What is the tens digit of 77748/54 - 1 - 2/(-9)?
3
Suppose 0*p + 9 = -3*p. Let o be (68/(-12) - p)*-36. Suppose -21 = 5*s - o. What is the tens digit of s?
1
Let r be 5 - 1 - -1 - 5. Suppose r = 5*d - 68 - 272. What is the units digit of d?
8
Let u = 77 - 77. Suppose 2*q + 3*q - 5*i = 1105, q + 3*i - 241 = u. What is the tens digit of q?
2
Let w be (2/4)/(27/(-1566)). Let x(l) = -l**3 - 29*l**2 - 8*l + 30. What is the hundreds digit of x(w)?
2
Suppose 9*b = 3*b + 2430. Suppose 0*i - a = 3*i - 302, -4*i + b = -a. What is the hundreds digit of i?
1
Suppose -58 = 5*z - 7*z. Suppose 6*c - 2*c + 3*u - z = 0, 3*c - 18 = -3*u. What is the tens digit of c?
1
Let a(t) = -t. Let s(u) = -2*u + 12. Let i(m) = -3*a(m) - s(m). Let n be ((-24)/((-2)/(-1)))/(-2). What is the units digit of i(n)?
8
Let d(z) = z**3 - 36*z**2 - 25*z + 46*z**2 + 11 + 10*z. What is the units digit of d(-11)?
5
Let x be (-1)/(-2)*(8 + -2). Suppose -5*w + 187 = 3*f - 192, -x*w + 2*f = -216. What is the tens digit of w?
7
Let t(n) = 4*n - 7. Let k be t(2). Let c(f) = 55*f**2 - 1. What is the units digit of c(k)?
4
Let g = -6 + 9. Suppose g*t + t + 3*p - 80 = 0, 0 = -5*t - 3*p + 100. What is the tens digit of t?
2
Let r = -1567 - -2337. What is the tens digit of r?
7
What is the tens digit of -5 + (632/(-1))/(-2)?
1
Let g(y) = 66*y - 35. Let x be g(2). Suppose 4*c + 16 = -204. Let v = x + c. What is the units digit of v?
2
Let m(i) = -i**3 + i**2 - 5*i - 7. Let k be m(3). Let q = -7 - k. What is the tens digit of q?
3
Let s = -3 - -7. Suppose -s*i - 6 = -2*k + 10, 3*k - i - 9 = 0. What is the units digit of k?
2
Let n(c) = -3*c - 21. Let g be n(-9). Suppose -3*m = -297 - g. Suppose -4*f + 27 = 2*r - m, -3*f = 2*r - 98. What is the tens digit of f?
3
Let t(m) = -m**2 - 5*m - 2. Let k be t(-3). Let c be 1*((-140)/(-4) + k). Suppose 0 = 2*x - 5*q - 11 - 22, -2*x + 3*q + c = 0. What is the units digit of x?
4
Suppose -5*o = 1605 - 5205. What is the units digit of o?
0
Let m = 10 + -16. What is the units digit of (-3116)/(-10) - (m - 140/(-25))?
2
S
|
{
"pile_set_name": "DM Mathematics"
}
|
*2 + 6*z. Let s be x(7). Sort 3, s, 2 in descending order.
s, 3, 2
Let l = -5 + 1. Let o be (7*(-9)/63)/((-2)/(-4)). Sort 0, l, -1, o in decreasing order.
0, -1, o, l
Suppose -u - 4 = -19. Suppose -u*c + 50 = -25. Sort c, -3, -7, 0 in decreasing order.
c, 0, -3, -7
Let f be (-207)/18*-2*1. Let k = 17 - f. Let z = 2 - -1. Sort z, k, 4 in decreasing order.
4, z, k
Let m = -97 - -97. Sort m, -3, 10.
-3, m, 10
Let j = -57 + 58.25. Let o = j + -0.55. Sort -1, o, -0.5, 0.4 in descending order.
o, 0.4, -0.5, -1
Let c = -0.2834 - 0.1166. Sort 8, c, 3/2 in increasing order.
c, 3/2, 8
Suppose 2*a - 107 = -11. Let m = -53 + a. Sort m, -2, 7.
m, -2, 7
Let y(x) = -4*x + 145. Let a be y(-44). Put 1, a, 2 in ascending order.
1, 2, a
Let n be 9/(-2) + (0 - (-15)/10). Sort 2, -244, n in descending order.
2, n, -244
Let l = -885 - -884. Sort 5, l, -23, 4 in increasing order.
-23, l, 4, 5
Let y = 2 + -1.6. Let h = -0.5 + -1.4. Let x = h + 1.5. Sort -0.01, x, y in descending order.
y, -0.01, x
Suppose -644 = -10*n + 3*n. Suppose -h + 2*r = -3*h + 40, 3*r - n = -5*h. Suppose 2*c = -2*c + h. Put 5, c, -4 in increasing order.
-4, c, 5
Suppose 4*i = -4*c - 0*c - 8, 0 = -5*i + 5*c - 10. Let r be 92/(-18) + (-1)/(-9). Sort i, 4, 10, r in ascending order.
r, i, 4, 10
Let a be (5/(-4))/(13/52). Sort a, -1, 17 in descending order.
17, -1, a
Let u = 2 + -1. Let n = -26.33 - -33.33. Sort u, 3, n in decreasing order.
n, 3, u
Let u(w) = -w**2 + w + 5. Let t be u(3). Let q be (0 - t)*(31 - 5). Put -3, q, -2 in increasing order.
-3, -2, q
Let x(l) = -l**2 - 16*l - 3. Let s be x(-15). Let u be (11/33)/((-5)/s). Put -5, 0.2, u in decreasing order.
0.2, u, -5
Let j be (-1)/(-5*(-5)/(-25)). Sort -4, 5, j, 73 in descending order.
73, 5, j, -4
Suppose 4*n + 3*w = 5*w - 10, 5*n - 3*w = -10. Sort n, -3, -1, -4 in decreasing order.
-1, -3, -4, n
Let s(k) = -2*k - 10. Let r(g) = g**3 - 8*g**2 + 15*g - 3. Let i be r(5). Let c be s(i). Sort 7, 5, c.
c, 5, 7
Let a be 5/(-3) + (-17 - -19). Sort a, -0.13, 1 in decreasing order.
1, a, -0.13
Let f = 68 + 62. Let c = f - 1171/9. Sort -0.3, 5, c, -2.
-2, -0.3, c, 5
Suppose 7 = 3*h + 2*c - 3*c, 2*h - 5*c = 9. Suppose 5*r - h*r = 42. Suppose 3*k = -10 + 7. Put -3, k, r in descending order.
r, k, -3
Let a = 6 + 16. Let c = -14 + a. Let t = c + -10. Sort 6, -3, t in increasing order.
-3, t, 6
Let u(f) = -f - 26. Let z be u(-20). Sort z, -3, -1 in decreasing order.
-1, -3, z
Suppose -4*c - 6 = -3*y + y, 0 = 2*y + 2*c. Suppose -3 = -5*w - 18. Let l be (-3 + w/(-1))*1. Sort -2, l, y in decreasing order.
y, l, -2
Let m = 2/167 - -497/334. Sort m, 0.1, 12 in decreasing order.
12, m, 0.1
Let c = -2/631 + 1909/5048. Let y = -0.41 - -4.21. Let a = y - 4. Put 5, c, a in decreasing order.
5, c, a
Let j = -77.7 + 78.1. Let p = 782/7 + -112. Put -1, j, p in ascending order.
-1, p, j
Suppose a = -4*f - 10, 56*a - 54*a + 4*f + 12 = 0. Sort -1, -0.05, a, 1/5 in decreasing order.
1/5, -0.05, -1, a
Let z = -0.46 + 3.46. Let t be (((-12)/(-7))/4)/(-1). Sort -3, t, z in decreasing order.
z, t, -3
Let o be 4 + -8 + 0*3/(-9). Let h = 32 + -37. Put o, h, -3 in increasing order.
h, o, -3
Suppose 3*b - 11 + 5 = 0. Let r(g) = -5*g**2 + 1. Let l be r(-1). Put b, l, -2 in increasing order.
l, -2, b
Let y = -0.5 + 2.5. Let c = -208 + 297. Let s = c + -89. Sort -1/8, y, s in descending order.
y, s, -1/8
Let p = 130 + -125. Put p, -5, 27, -1 in decreasing order.
27, p, -1, -5
Suppose 0*x + 3*i - 24 = 3*x, -2*x + 5*i = 28. Put 2, x, -16, -1 in ascending order.
-16, x, -1, 2
Let n = -132 + 658/5. Let j = 0.532 - 0.012. Let t = j - 0.42. Put t, n, 1 in ascending order.
n, t, 1
Let h be (-1)/(-4) - (-18)/(936/(-13)). Suppose p + 4*p = -15. Sort 0.4, p, h in ascending order.
p, h, 0.4
Let q be 0/8 + 3/1. Let f be q - ((-3)/(-3) - 0). Sort -5, 5, f.
-5, f, 5
Let k be 2/(42/93) + 12/21. Suppose 0 = 2*l + 2*p, l - 3*p = -k + 1. Put -21, -5, l, 1 in increasing order.
-21, -5, l, 1
Let m be (-30)/(-4)*1*(-16)/10. Let b be 0*(10/(-25))/(m/(-15)). Sort b, 0.4, 5/2.
b, 0.4, 5/2
Let w = -907 + 908. Put 21, -3, w, 5 in ascending order.
-3, w, 5, 21
Let h = -0.4 - -0.1. Let j = 20/143 - 746/3289. Sort -1, h, -3, j in descending order.
j, h, -1, -3
Let b be (0 - (2 + 0))/(-1). Suppose i + b = 3. Suppose 5*v + i = -19. Put v, -2, -5 in descending order.
-2, v, -5
Let g = -21 - -25. Let m be g/(-6) - 46/(-42). Sort -2/3, m, -4/3, 0.5 in descending order.
0.5, m, -2/3, -4/3
Let h(s) = 4*s**2 + 21*s + 7. Let d be h(-5). Sort d, -17, -3.
-17, -3, d
Suppose -2*v - 14 = 2*g + 2*g, 4*g = -v - 9. Let u be (72/(-27))/((-3)/117). Let z = u - 107. Sort v, z, 1.
v, z, 1
Let p be (-14)/6 - 6/(-18). Suppose 0*j = -j - 2*b - 7, -2*j + 3*b = 0. Suppose 6*k - 4*k = -5*k. Put p, k, j in descending order.
k, p, j
Let k = 2862 + -2861.99. Let v = -191/905 + 2/181. Put v, -0.1, k, -2 in decreasing order.
k, -0.1, v, -2
Let z(w) = -w**2 - 65*w - 65. Let t be z(-68). Put 4, t, -4 in decreasing order.
4, -4, t
Suppose -7*c + 42 = 28. Let l(n) = n**2 - 7*n - 2. Let m be l(8). Let b = -5 + 8. Sort c, b, m in ascending order.
c, b, m
Suppose -11*n - 132 - 286 = 0. Put -1, n, -3 in ascending order.
n, -3, -1
Let a = -20 - -17.9. Let m = a + -0.9. Suppose 14*d + 4 = 18*d. Sort m, 0.3, d.
m, 0.3, d
Let i = 24 + -21. Suppose k = i*k. Put 2, k, -4 in ascending order.
-4, k, 2
Suppose 153 = 17*b - 15*b + 5*h, 0 = 5*b + 5*h - 375. Let w = b + -69. Put w, -5, 1 in decreasing order.
w, 1, -5
Let a = 2 - -7. Let k = -3500 + 3502. Put 4, k, a, 3 in descending order.
a, 4, 3, k
Suppose -4*a = 4*a. Suppose a = z + 7*z. Let y be 23/(-45) - 2/(-5). Put y, -0.5, z in ascending order.
-0.5, y, z
Suppose -5*z = 10 + 5. Suppose 0 = -5*w - 0*c + 5*c, -2*c = 2*w - 12. Sort w, z, 5 in increasing order.
z, w, 5
Let w = -523 - -9939/19. Sort w, 3, -47 in descending order.
3, w, -47
Let g be 22/(-121) + (522/(-33) - 2). Let b be (g/12)/(14/(-32)*6). Sort 2, b, 3 in descending order.
3, 2, b
Suppose -5*n = 3*f + 180, f + 71 = 2*n - 0*n. Let a = 64 + f. Sort -2, 1, -20, a in descending order.
1, a, -2, -20
Let w be 80/(-96)*(-1)/(-2). Sort 0.4, 0.5, w.
w, 0.4, 0.5
Suppose -2 = -2*x, -5*v - 2*x = -3*x + 51. Let i be 12/(-50)*v/3. Let c = 0.11 + -0.11. Sort i, c, 0.5 in decreasing order.
i, 0.5, c
Let l be 4 - ((-2)/1 - (4 + -8)). Sort l, 1, 9 in descending order.
9, l, 1
Suppose 3*v - 15 = 2*q, -3*q = -0*q + 3*v - 15. Let j(b) = -b - 9. Let u be j(-8). Put -6, 4, u, q in ascending order.
-6, u, q, 4
Suppose 35*j = -3*w + 31*j, 7*w - 13 = -5*j. Suppose -2*t - t - 4*y + 23 = 0, -t + 4*y - 3 = 0. Sort w, t, 1.
1, w, t
Suppose -43*n + 160 = -27*n. Sort 3, 2, n, 12 in increasing order.
2, 3, n, 12
Let w = 1913/1178 + -47/38. Let s be (4/(-10) - 6/15)/(-62). Let k = s + w. Sort -1, k, 1/4 in decreasing order.
k, 1/4, -1
Suppose -3*c = -1 + 16. Let y = -7 + 5. Suppose -2*p + 0*p = -6. Sort c, p, y in decreasing order.
p, y, c
Let m be ((-9)/(-4) - 1)*4. Suppose m*v - 2*d = -6, -2*d = d + 6. Put 0, -3, 4, v in descending order.
4, 0, v, -3
Let p be 46/10 - (-3 - (-130)/50). Let y(x) = -13*x. Let r be y(-1). Let n = 3 - r. Put p, -5, n in ascending order.
n, -5, p
Let z = -2 + 7. Suppose -6*g + g + z*k + 30 = 0, -3*g = 4*k + 10. Put 1/5, g, -5, 4 in descending order.
4, g, 1/5, -5
Let u be -2 + 1 + -9 + 23. Let o be (-11)/(-22)*(0 + 2). Sort 3, u, o.
o, 3, u
Let y = -9 + 14. Let j be 1*(2 + -6 + 1). Let s(u) = -15*u + 63. Let o be s(4). Sort j, y, o.
j, o, y
Let n be 594/(-495) + 6/10. Sort n, 2, 5, 8.
n, 2, 5, 8
Let i(y) = y**2 + y + 10. Let a = 14 + -19. Let b be i(a). Let f be (-394)/26 + b/195. Sort 2, f, 1/2.
f, 1/2, 2
Let r = 0.468 + 0.032. Let q = 5 + -2. Sort q, r, -2/9 in descending order.
q, r, -2/9
Let z = -0.1 - -0.4. Let o be (2 - (-144)/(-84)) + (-40)/42. Sort 0, o, z in decreasing order.
z, 0, o
Let x = 0.0555 + -0.0055. Sort 5/4, x, -3, 3 in ascending order.
-3, x, 5/4, 3
Suppose 6*x - 443 = 13. Sort x, -8, 4 in decreasing order.
x, 4, -8
Let y be 0 + ((-16)/(-72) - 25/(-9)). Suppose 13*i - 37 = -37. Put i, 5, 10, y in decreasing order.
10, 5, y, i
Let v = 77.8 + -83. Let r = v + 5.2. Put 3/4, r, 6 in descending order.
6, 3/4, r
Suppose -s + 5*s = 0. Let p(o) = -18*o - 794. Let h be p(-44). Sort 2, s, -1, h.
h, -1, s, 2
Let a = -2/19 - 89/
|
{
"pile_set_name": "DM Mathematics"
}
|
+ u + a - 84, -u + 3*a + 4 = d. Calculate the common denominator of 53/12 and u/(-12) + (-98)/(-30).
60
Let g = -339/38 - -3877/228. Calculate the common denominator of -145/3834 and g.
7668
Let t(n) = 383*n - 6518. Calculate the least common multiple of t(19) and 2024.
6072
Let j = -155 + 199. What is the lowest common multiple of j/6 - (90/27 + -4) and 116?
232
Let f(m) = -10*m - m**2 - 18 + 9 + 9. Let y = 23 - 12. What is the smallest common multiple of f(-9) and y?
99
Let o = -335333/266770 + -1/7622. Find the common denominator of o and 49/960.
6720
Suppose 4*k - 345 = -11*k. Suppose 0 = -v + 5*b + k - 3, -3*v = -3*b - 48. Calculate the lowest common multiple of v and 35.
105
Let h be 2/((-166572)/(-166652) - 1). Let w = h + 4171. Find the common denominator of 27/4 and w.
20
What is the lowest common multiple of 1 and (-7)/(567/585) + (-2)/(-9) + 65?
58
Suppose -58*x + 240 = -55*x. Let n = x - 78. Suppose -3*i + 9 = 0, 4*d + 2*i = n + 12. What is the lowest common multiple of 20 and d?
20
Let h = 409982/91 - 4506. Find the common denominator of -4/75 and h.
6825
Let p = 5 + -2. Suppose -11*z + 18 = 2*a, 122*a - 117*a = -5*z. Suppose p*b = z*k + k - 27, -b = 3. Calculate the lowest common multiple of k and 13.
78
What is the smallest common multiple of 152 and 2/14 + 405670/791?
4104
Let d = -17883/17 - -12249226/11645. What is the common denominator of -18/685 and d?
685
Suppose 5*f + h - 14 + 97 = 0, -15 = 5*h. Calculate the least common multiple of (-404)/(-10) + (-52)/(-20) + -3 and (-5)/(-20) + (-700)/f.
440
Suppose 6*i - 3*g = 5*i + 25, g = -2*i + 29. Let p(q) = 2*q**2 - 7*q - 1. Let v be p(7). Suppose -9*k + v = -6. What is the lowest common multiple of k and i?
48
Let q = 18 + -12. Let b = -57989/39 + 1487. Calculate the common denominator of 4/q - (-623)/168 and b.
312
Let j = 2265530 - 67954289/30. Let x = 387 - j. What is the common denominator of x and 121/80?
240
Let s = -50522 - -86430. Calculate the lowest common multiple of 2 and s.
35908
Let t = -93118/5 + 18688. Let b = -1/1586 + 47977/793. Let y = b - t. What is the common denominator of 35/2 and y?
10
Let y = -1076/43 - -2528986/101007. Calculate the common denominator of 91/2 and y.
4698
Let m = 10/12355561 - 100957296471/9316092994. Let v = m - -273/29. Find the common denominator of -36 and v.
26
Suppose -13*v = 18*v - 381 + 71. Calculate the least common multiple of v and 192.
960
Suppose 0 = -4*b + 12 - 20. Calculate the lowest common multiple of -5 + (-1)/((-5)/425) and (-6)/9 - (-104)/12 - b.
80
Let r(a) = 5*a**2 + 2*a + 4. Let l be r(-14). Let c = l + -4808/5. Find the common denominator of ((-198)/616)/((-4)/70) and c.
40
Let q = 788919/32 - 24651. Let x be (-3)/(-4) - 7/28*-429. Calculate the common denominator of q and (5313/(-46))/((-5)/((-10)/x)).
288
Find the common denominator of 153494/50160 + (3/4)/((-3)/12) and 69/50.
11400
Suppose -4*u - 820 = -4*m, -u - m - 215 = -0*u. What is the lowest common multiple of 28 and ((-16)/40)/((-3)/u*-2)?
28
Calculate the common denominator of (-12)/34 - (-5051890)/13814200 and -54/7.
33460
Let v = 21680 + -21568. Let j be 2 + 319 - 1/1. Suppose v = 8*t - j. What is the smallest common multiple of 24 and t?
216
Let u be (-475)/(-9) - 42/(-189). Suppose 20*j + u = 953. Calculate the smallest common multiple of j and 40.
360
Let k = 280/41 - 2888/615. Suppose 5*a - 48 = -w, 67 = w + 3*w - 5*a. What is the common denominator of k and w?
15
Suppose -413*g + 310 + 658 = -684. Calculate the smallest common multiple of g and 1588.
1588
Let n = -15065 + 15104. Suppose -z = 3*z - 180. Suppose -4*b + z = 2*h - b, 2*h = -5*b + 35. What is the lowest common multiple of n and h?
390
Suppose 6*t - 3*a - 2577 = 0, -5*t + a - 535 = -2669. Calculate the lowest common multiple of t and 2465.
12325
Suppose -7*k - 666 = -13*k. Let u = -31 + 51. What is the least common multiple of 1/(-4)*2 + k/6 and u?
180
What is the common denominator of (1 + 1)/(-2) - (-120)/(-1296) and (-4 - (2 + -179))/(-3 - -33)?
270
Suppose -5*n = -5*m - n + 3748, -4*n = 3*m - 2268. Suppose -4*s = 2*c + 1158, 179 - m = 2*s - c. Calculate the common denominator of 59/10 and 0 - 6/(s/(-285)).
80
Let r(c) = c**2 + 6*c - 104. Suppose -b - 4 = 0, -2*b - 14 - 84 = -5*x. What is the least common multiple of r(-18) and x?
1008
Let u = -7015 + 70093/10. Let x be (-80902)/6456 + (-2 - -2). Let r = -14/269 + x. Calculate the common denominator of r and u.
60
Suppose -49 = -2*p + 111. Suppose 371*d = 367*d + p. Calculate the lowest common multiple of d and 8.
40
Suppose 2*v = 6 + 4. Let m = 38504 - 38482. What is the lowest common multiple of v and m?
110
Let d = -151 - -153. Suppose d*i - 47 = -i + h, -81 = -4*i + 5*h. Calculate the least common multiple of i and 1.
14
Let m = 291 + -597/2. Calculate the common denominator of (-4)/2 - (-132)/34 and m.
34
Let t = -20464 - -20482. Calculate the lowest common multiple of t and 1290.
3870
Suppose -8 = -4*f, -5*h - 19*f = -17*f + 137481. Let m = h + 494809/18. Calculate the common denominator of 52/27 and m.
54
Let a = -38 + 33. Let z be (-60)/((a/(-5))/(-1)). Let l = 78 - z. What is the smallest common multiple of l and 8?
72
Suppose -8197 = -4*v + 153*u - 150*u, -8201 = -4*v - u. Calculate the lowest common multiple of v and 125.
10250
Let a = -65 + 35. Let i = -54 - a. What is the smallest common multiple of i/(-4) + -1 + 5 and 11?
110
Calculate the common denominator of 2/4*(18640/(-17600) + (-1)/11) and 27/68.
680
Let o = 31 - 63. Let b be 1/(-8637)*(-1347564)/o. Let c = b - -2/2879. Find the common denominator of c and 39/4.
8
Let y(c) = -3*c**3 + 7*c**2 + 2. Let g be y(-5). Let o be (-1)/(-3) + 6736532/g. Let h = o - 12203. What is the common denominator of h and 71/2?
46
Let j(h) = -13*h + 0 + 3 - 4. Suppose 5 = d, -4*a - d = -a - 2. Calculate the smallest common multiple of 20 and j(a).
60
Find the common denominator of -107/200 and 19/684*6*(-302)/40.
600
Find the common denominator of -59/1773 and (-1)/21 + (-633774)/(-6577830).
8865
Let g = -51 + 53. Let x be 3 + (104/(-16))/(g/(-4)). What is the smallest common multiple of 16 and (-4)/x*-12 + (0 - -23)?
208
Let k = 412 + -293. Let a = -99 + k. Calculate the smallest common multiple of a and 2.
20
Suppose -n = -5, -2*p + 2*n - 636 = 6*n. Let d = p - -1263/4. Let t = -4/29 + -4133/522. Calculate the common denominator of d and t.
36
Suppose m = -3*h + 77, -3*m + 4*h + h = -301. Let r = m + -65. Suppose 13*v - 3 - 75 = -g, 0 = -3*v - g + 18. Calculate the lowest common multiple of v and r.
54
Let o = -534414 - -3186803/6. Let n = o + 3293. What is the common denominator of (3/((-126)/(-476)))/(-5*16/(-36)) and n?
30
Suppose 2*z - 28*p - 225 = -27*p, -2*p + 6 = 0. What is the least common multiple of 11 and z?
1254
Let x be 185 + (-10)/((-50)/35). Suppose -126*i = -134*i + x. Calculate the smallest common multiple of 28 and i.
168
Let i = -12195427/2016 + 147648774533/24383520. Let a = i + -3/24190. Let k = 487297/20 + -24371. Calculate the common denominator of k and a.
20
Find the common denominator of 24174/(-27200) + 4/8*2 and -5/48.
2400
Let u be 433905/75 - (-6)/10. Let q = u + -46371/8. Let n = -366517/148120 - 2/3703. Calculate the common denominator of q and n.
40
Find the common denominator of (-8)/(-6) + 1832/1776*95/(-76) and 54/481.
3848
Let i be (-1)/(((1 + -4)/6)/1). Suppose g = -4*o + 20, -5 = -g - 2*o + 5. Calculate the common denominator of (-2641)/684 + i + g and -61/24.
72
Let r = -21 - -30. Let f = 1116 - 1110. What is the least common multiple of f and r?
18
Let w = 71 - 49. Calculate the lowest common multiple of w and (-20)/(-70)*(-7)/(-2) + 59.
660
Let p = 99946599/910 + -2685823/26. Let m = -6530 + p. Find the common denominator of m and 99/20.
140
Let f = 34048 + -34016. Calculate the least common multiple of f and (-2)/(-5) - (-148)/5.
480
Calculate the lowest common multiple of 1715 and (26 + -27)/((-2)/(-2))*25/(-5).
1715
Let q(t) = 6*t**2 + 40*t - 56. Let p(x) = -3*x**2 - 21*x + 28. Let c(u) = -5*p(u) - 3*q(u). What is the least common multiple of c(-6) and 8/3 - (-2)/(-3)?
10
Let n = -300 - -2403/8. Let t be 11/3 + (-10)/(-30). What is the common denominator of t/8 + 47/(-8) and n?
8
Let y = -10/39063167 - 3038762822297/7031370060. Le
|
{
"pile_set_name": "DM Mathematics"
}
|
in ascending order.
-1, 0, 4, 301
Sort 5, -460, 29.
-460, 5, 29
Put -1, -317557, -6, 3 in increasing order.
-317557, -6, -1, 3
Sort -0.1, -71, 1151 in decreasing order.
1151, -0.1, -71
Put 4, 5, -111, -4, 3 in descending order.
5, 4, 3, -4, -111
Sort 2, 217/5, -1/2, -1, 3 in increasing order.
-1, -1/2, 2, 3, 217/5
Sort 1.1, -478, 0.444 in ascending order.
-478, 0.444, 1.1
Put -4, -1, 1753, -6, -3 in decreasing order.
1753, -1, -3, -4, -6
Put 488, 5, -3, 1 in decreasing order.
488, 5, 1, -3
Put 358, -0.4, 4, 0.5, 0.04, -1 in increasing order.
-1, -0.4, 0.04, 0.5, 4, 358
Sort -16.4, -2/15, 1/21.
-16.4, -2/15, 1/21
Sort -20, -4, 4, 0, -17, 3.
-20, -17, -4, 0, 3, 4
Put -72, 150, -5, 8 in decreasing order.
150, 8, -5, -72
Sort 1, -3, 0.5, -56, -11 in decreasing order.
1, 0.5, -3, -11, -56
Put -1, 300, -6, 1, -5 in increasing order.
-6, -5, -1, 1, 300
Put -4, 88, 199 in descending order.
199, 88, -4
Sort 5, -0.1, 0, -0.2, -1, 8515 in decreasing order.
8515, 5, 0, -0.1, -0.2, -1
Sort 20, -1/2, -8/7, -0.1.
-8/7, -1/2, -0.1, 20
Put 9, 63, -5 in decreasing order.
63, 9, -5
Sort 0.4, 1, 39, 0.5, -1/344 in descending order.
39, 1, 0.5, 0.4, -1/344
Sort 1, 5, -5, 73, 2732.
-5, 1, 5, 73, 2732
Put 605, -1/4, -3, 0.12, 2/7, 4 in descending order.
605, 4, 2/7, 0.12, -1/4, -3
Put -0.228, -15, 0, -10/11 in decreasing order.
0, -0.228, -10/11, -15
Sort 29585, 3, -2 in descending order.
29585, 3, -2
Sort -0.03, -2, 0, -74 in decreasing order.
0, -0.03, -2, -74
Sort 0.11, 0.19173, 3 in decreasing order.
3, 0.19173, 0.11
Put -2, 0, -57, 3 in descending order.
3, 0, -2, -57
Put 123272, 4, 2 in ascending order.
2, 4, 123272
Sort 3, 50, 1, -2, -40 in increasing order.
-40, -2, 1, 3, 50
Sort -143, 5, 40, -5, -1 in decreasing order.
40, 5, -1, -5, -143
Sort 0.4, 0.3, 5, 9/4, 0.232, 3 in descending order.
5, 3, 9/4, 0.4, 0.3, 0.232
Sort 3090, -1, 317, -3 in descending order.
3090, 317, -1, -3
Sort -4, 22, 2, 4, -8, -71 in increasing order.
-71, -8, -4, 2, 4, 22
Sort 0, 1, 5, -290 in increasing order.
-290, 0, 1, 5
Sort -5/373, -0.7, -5/4.
-5/4, -0.7, -5/373
Put 61, -1/21, 0.6, -8 in descending order.
61, 0.6, -1/21, -8
Put 586, -0.04, -5, -4, 3, -4/3 in descending order.
586, 3, -0.04, -4/3, -4, -5
Sort 2, -2, 15, 130 in descending order.
130, 15, 2, -2
Put 365, -0.07, -3, -4, -16, 2/21 in decreasing order.
365, 2/21, -0.07, -3, -4, -16
Put 0.2, -2.5, -0.2, 91/6 in ascending order.
-2.5, -0.2, 0.2, 91/6
Put 12341, -6, -5 in descending order.
12341, -5, -6
Sort 20, -1, -9, 8.
-9, -1, 8, 20
Put 0, 79, 42 in descending order.
79, 42, 0
Put 3, -55, 24, 2, -4, 1 in decreasing order.
24, 3, 2, 1, -4, -55
Put -4, -2, 66, 0, -198 in increasing order.
-198, -4, -2, 0, 66
Sort 0.04, -0.3, -3/19, 6, 0.4 in descending order.
6, 0.4, 0.04, -3/19, -0.3
Sort -1, -0.3, -6, 5, 8/617 in increasing order.
-6, -1, -0.3, 8/617, 5
Sort -2, -469, -4, -3, 4 in increasing order.
-469, -4, -3, -2, 4
Put -1/2, -59, 141, 7 in descending order.
141, 7, -1/2, -59
Sort -4, 540, 101 in decreasing order.
540, 101, -4
Put 0.1, 0.26, -5, 0.13, -8 in decreasing order.
0.26, 0.13, 0.1, -5, -8
Put -80, 3, -0.5, -1, -0.3, -4 in decreasing order.
3, -0.3, -0.5, -1, -4, -80
Sort 63, 5, -104, -6.
-104, -6, 5, 63
Sort -1, 2/3, 0.4, 2543, -2/5 in decreasing order.
2543, 2/3, 0.4, -2/5, -1
Sort -3, 0.07, 73, -2 in increasing order.
-3, -2, 0.07, 73
Sort 5, -3622, 4, 8 in ascending order.
-3622, 4, 5, 8
Sort -2, 3, 1503, 0, -5.
-5, -2, 0, 3, 1503
Put -13, 5, 37, 2 in increasing order.
-13, 2, 5, 37
Sort -1/7, -6.2, 2/11, 0.4, 3 in descending order.
3, 0.4, 2/11, -1/7, -6.2
Put 8, -3, 5, -14, -5, 52 in decreasing order.
52, 8, 5, -3, -5, -14
Sort -1323698, 4, -4.
-1323698, -4, 4
Sort 3, 7, -41, -47, -4, 1 in decreasing order.
7, 3, 1, -4, -41, -47
Sort 2, 0, 55, 5.
0, 2, 5, 55
Sort 70, 0, 12, -5, -1.
-5, -1, 0, 12, 70
Put 2, -13, 4, 5, 3, 61 in decreasing order.
61, 5, 4, 3, 2, -13
Put 1, 1/13, -0.1, -1, 1/2, -119 in ascending order.
-119, -1, -0.1, 1/13, 1/2, 1
Put 3, 19701, 66 in increasing order.
3, 66, 19701
Sort 5/2, 1564, -0.4, -5.
-5, -0.4, 5/2, 1564
Sort 0, 0.05, -0.3, -20/11, -5 in descending order.
0.05, 0, -0.3, -20/11, -5
Sort 283, -20, 1, 0, 5 in decreasing order.
283, 5, 1, 0, -20
Sort 0, 9, -7, 1235 in descending order.
1235, 9, 0, -7
Sort 5, -32, 19, -12, -1 in decreasing order.
19, 5, -1, -12, -32
Sort -66, -0.1, 1/9, -5, -23.
-66, -23, -5, -0.1, 1/9
Sort 1113, -3, -1, -5 in descending order.
1113, -1, -3, -5
Sort 0.2, 3.444, 7.3 in descending order.
7.3, 3.444, 0.2
Put 171, 5, 33 in decreasing order.
171, 33, 5
Sort 200, 21, -2 in descending order.
200, 21, -2
Sort -4, -3, 12388 in descending order.
12388, -3, -4
Put -24213, 4, -5, 3 in ascending order.
-24213, -5, 3, 4
Put 19/13, -4, -20/9 in descending order.
19/13, -20/9, -4
Sort 41, -11, -1, 1, -3, 5 in ascending order.
-11, -3, -1, 1, 5, 41
Sort 1/4, 440, -4/3, -0.2336.
-4/3, -0.2336, 1/4, 440
Sort 4, 3, -3, 82, 1, -4 in decreasing order.
82, 4, 3, 1, -3, -4
Sort 92, 11, -4 in increasing order.
-4, 11, 92
Put 7/6, 1018, 1, -2, 0.2, 4 in decreasing order.
1018, 4, 7/6, 1, 0.2, -2
Sort -1/6, -0.06, -0.01, 3, -265.
-265, -1/6, -0.06, -0.01, 3
Put 155, 76, -5 in decreasing order.
155, 76, -5
Sort -392, 2, -2, 13 in descending order.
13, 2, -2, -392
Sort 4, 1/8, -1, -460/473, 1 in increasing order.
-1, -460/473, 1/8, 1, 4
Put -2, -3, -1, -5262, 0, 6 in increasing order.
-5262, -3, -2, -1, 0, 6
Sort -1, 27, 1741 in decreasing order.
1741, 27, -1
Sort -1, 161, 11, 3, -5, 5 in ascending order.
-5, -1, 3, 5, 11, 161
Put 37, -0.2, -3, -2, -1685 in descending order.
37, -0.2, -2, -3, -1685
Put -179, -5, -45, 10 in decreasing order.
10, -5, -45, -179
Put -532, -1, -55, 4, -5 in descending order.
4, -1, -5, -55, -532
Sort -5, -6, 1, 103, 4 in ascending order.
-6, -5, 1, 4, 103
Sort 17, 148, 1.
1, 17, 148
Sort -2, 3, -45282, -1 in ascending order.
-45282, -2, -1, 3
Put -1/5, 1/3, 5, -2472, 0.4 in ascending order.
-2472, -1/5, 1/3, 0.4, 5
Put -4, -0.06, 2, -37, -0.1, -5 in ascending order.
-37, -5, -4, -0.1, -0.06, 2
Put -0.2, 0, 5, 1276, -2, 2/23 in descending order.
1276, 5, 2/23, 0, -0.2, -2
Put 48, -2, -112 in ascending order.
-112, -2, 48
Sort 19, 16, -4, 3, 4 in decreasing order.
19, 16, 4, 3, -4
Sort -271, 50, 4, -1, 3 in decreasing order.
50, 4, 3, -1, -271
Put 1/4, -41022, -1 in increasing order.
-41022, -1, 1/4
Sort -9, 1, -8062, 3.
-8062, -9, 1, 3
Sort -95/2, 0.5, -81 in decreasing order.
0.5, -95/2, -81
Sort 3, -4, 8, -5, -3465 in increasing order.
-3465, -5, -4, 3, 8
Put -12, 4, 5, 0, 16, 32 in increasing order.
-12, 0, 4, 5, 16, 32
Sort 2, -0.3, 1, -87, -15/8 in decreasing order.
2, 1, -0.3, -15/8, -87
Sort 8, 0.04, 4/13, 0.03, 10 in descending order.
10, 8, 4/13, 0.04, 0.03
Put -17, -4, 0, 135 in decreasing order.
135, 0, -4, -17
Sort 7211, 1, 11, 0 in ascending order.
0, 1, 11, 7211
Sort -4, 972, -2, 3.
-4, -2, 3, 972
Sort 41, 13, 2, 15 in descending order.
41, 15, 13, 2
Put 2/51, -827/5, 1/4, -3 in descending order.
1/4, 2/51, -3, -827/5
Sort -4, 13, 205 in descending order.
205, 13, -4
Put 886, -803, -0.1, 0 in descending order.
886, 0, -0.1, -803
Sort -2, 8, -6.51, -2/3, 2/3 in decreasing order.
8, 2/3, -2/3, -2, -6.51
Put 2/43, -6/11, 0.5, -1, -1.4 in descending order.
0.5, 2/43, -6/11, -1, -1.4
Put 3, 6, 4, -1, 82, 12 in ascending order.
-1, 3, 4, 6, 12, 82
Sort -2, -15, 2, 1, 87 in descending order.
87, 2, 1, -2, -15
Sort 2, -25, -5, -116 in increasing order.
-116, -25, -5, 2
Put -31, 1796, 3, -2 in descending order.
1796, 3, -2, -31
Sort 0, -14, 1, -28, -63, -2 in increasing order.
-63, -28, -14, -2, 0, 1
Put 0, 6, -3, 1, -2, 2 in increasing order.
-3, -2, 0, 1, 2, 6
Put 890, 5, 66, 2 in descending order.
890, 66, 5, 2
Put 7, -1/4, 1321, -2/9, 3/2, 1 in descending order.
1321, 7, 3/2, 1, -2/9, -1/4
Sort 0.4, 1, 3856, 1/5, -1/3 in increasing order.
-1/3, 1/5, 0.4, 1, 3856
Sort 3, -4, 331, 2/5, 17 in decreasing order.
331, 17, 3, 2/5, -4
Put 9, -55, 25 in descending order.
25, 9, -55
Put -3, -10/9, 217/409 in descending order.
217/409, -10/9, -3
Sort -2, 1, -0.2, 18, 0.07, -8 in decreasing order.
18, 1, 0.07, -0.2, -2, -8
Put -2, 1, -5, 0, -142, 27 in decreasing order.
27, 1, 0, -2, -5, -142
Sort 2/425, -1/9, 0.0762 in ascending orde
|
{
"pile_set_name": "DM Mathematics"
}
|
than -90?
True
Which is greater: 24901660 or 24901662?
24901662
Is 175/2198314 < -1?
False
Which is bigger: 2.0838 or -53.07?
2.0838
Which is bigger: -384349733 or -384349730?
-384349730
Which is smaller: 4105729/5 or 821147?
4105729/5
Do -503336 and -503388 have the same value?
False
Which is smaller: -434306 or -434339?
-434339
Is -910001/346 greater than -2630?
False
Which is smaller: 5231132/107 or 48890?
5231132/107
Is 24890/8597 greater than 3?
False
Which is greater: 13032892 or 13032891?
13032892
Is -2/14688223 at least 1?
False
Which is smaller: 1302/115 or -3?
-3
Is 61781/279 < 221?
False
Is -14/2615 equal to 1837?
False
Which is bigger: -773501/16 or -48345?
-773501/16
Which is smaller: 3 or 69980/21659?
3
Is 1393049 not equal to 1393050?
True
Are 6196646 and 6196649 nonequal?
True
Which is smaller: 12412 or 12156?
12156
Which is smaller: 352234623 or 352234625?
352234623
Is -3327572/171 not equal to -19458?
True
Is 17166677 > 17166677?
False
Which is smaller: -2/287 or 588624?
-2/287
Is -2013 less than 25273?
True
Is -28856 bigger than -14334?
False
Which is bigger: 80/1480563 or 0?
80/1480563
Which is smaller: 99695232 or 99695235?
99695232
Which is smaller: -36 or 367894?
-36
Is 11 at least as big as 55390/5299?
True
Is 0 at most as big as -4763/16312?
False
Is -3/2783 at least as big as -2197?
True
Which is smaller: 1063833 or 52127888/49?
1063833
Is -21445240 <= -21445240?
True
Are 2892551 and 2892508 equal?
False
Which is greater: -7223961 or -7223964?
-7223961
Which is greater: 338275447 or 338275448?
338275448
Are -2653745 and -2653756 equal?
False
Which is greater: -32544491 or -32544490?
-32544490
Which is smaller: -3/5450 or -27.923?
-27.923
Are -261145/487 and -536 non-equal?
True
Are 6645475/221 and 30070 nonequal?
True
Which is greater: 1 or 1/1121283279?
1
Which is bigger: 13/1459 or 1.127?
1.127
Which is smaller: -22 or -17912.21?
-17912.21
Is 279727 at least as big as 1777?
True
Does 4278544 = 12835636/3?
False
Which is smaller: 3.7886 or -2/379?
-2/379
Which is bigger: 3681340 or 0.06?
3681340
Are -16/77 and 97/8 equal?
False
Do -5753659 and -40275614/7 have the same value?
False
Which is smaller: -12/737887 or -1?
-1
Is -1/5 bigger than -2859385?
True
Which is greater: -9018503 or -36074017/4?
-9018503
Which is bigger: 586/510447 or 1?
1
Which is smaller: -492992 or -493005?
-493005
Are 6584703 and 6584699 equal?
False
Is 82602 >= 1478?
True
Which is smaller: -34/106753 or 1?
-34/106753
Which is greater: -258450/197 or -1312?
-258450/197
Is -223/363 at most -100?
False
Which is smaller: 1691210 or 1691234?
1691210
Is 22033139 at most 198298253/9?
True
Does -492430 = -492437?
False
Is 37243/606 less than 62?
True
Does -44 = 94710?
False
Is -43546548 at most as big as -43546537?
True
Is -913150/57 not equal to -1?
True
Is 2454675 greater than or equal to 2454676?
False
Is -260908 greater than 29?
False
Is -567988 not equal to -567990?
True
Is 1858119 > 1858115?
True
Which is greater: -38758016/9 or 0.1?
0.1
Do 1326466/71 and 18683 have the same value?
False
Which is smaller: 492819855 or 492819854?
492819854
Is 1653641 greater than or equal to 1653641?
True
Is 340571 equal to -10.81?
False
Which is smaller: -2/372732869 or -1?
-1
Is -2/13615 less than or equal to 81/10?
True
Which is greater: -7665767 or -7665766?
-7665766
Is 644 less than or equal to -423/41?
False
Which is smaller: 0 or -7221/97268?
-7221/97268
Are 2/27 and 3232315 nonequal?
True
Which is bigger: 0.1243946 or -3/7?
0.1243946
Which is bigger: 9 or 75439/9202?
9
Which is bigger: 16741 or 1657358/99?
16741
Which is smaller: 0 or 222414.76?
0
Are 694721 and 694789 unequal?
True
Is 11475451 less than 0?
False
Which is smaller: -20/13685027 or 0?
-20/13685027
Are -6909038 and 0 nonequal?
True
Is 3 bigger than -821/6411?
True
Which is greater: 0 or -234940714?
0
Is 889 < 322252/363?
False
Is 1644935 smaller than 1644945?
True
Which is smaller: 33032818 or 33032819?
33032818
Which is smaller: 344 or 14084?
344
Is 0 < 751/1976?
True
Does 118/140013 = 0?
False
Which is greater: 510637 or 340?
510637
Does -5097927 = -5097927?
True
Which is smaller: -25806 or 92/19?
-25806
Which is smaller: -146456 or -5614?
-146456
Which is smaller: 51292 or -1211?
-1211
Is 28431 >= 24791?
True
Is 112809 at least 112819?
False
Are -8074 and -5061850/627 equal?
False
Is 22 greater than 15320/669?
False
Which is smaller: 3/57215 or 90?
3/57215
Which is bigger: -582822/187 or -3118?
-582822/187
Is 39157 at most 13.61?
False
Which is bigger: 169487965 or 169487964?
169487965
Which is smaller: 27/26413 or 1?
27/26413
Which is smaller: -84.053 or 97?
-84.053
Which is smaller: 32134468/33 or 973772?
32134468/33
Is 0 < 2/1581925465?
True
Which is greater: 1838207 or 1838213?
1838213
Is -5/788184913 smaller than -1?
False
Which is smaller: 0 or -11991/11?
-11991/11
Which is smaller: 2656 or 4109?
2656
Which is smaller: -16654 or -16733?
-16733
Which is greater: 72/28122061 or 0?
72/28122061
Are 1308009 and -673 nonequal?
True
Are -20318 and -467328/23 unequal?
True
Are 10/57339 and 0 nonequal?
True
Which is bigger: -14185893 or -14185858?
-14185858
Which is bigger: 43 or -17/48641?
43
Which is bigger: -1541303 or -1541305?
-1541303
Which is smaller: 62/1122399 or -1?
-1
Is -42004685 > -42004687?
True
Are 139012504 and 139012504 nonequal?
False
Which is bigger: 114382392 or 114382394?
114382394
Is -764404 at most as big as -764462?
False
Which is smaller: 0.069624 or -14818?
-14818
Which is smaller: -288132 or 2/121?
-288132
Which is greater: 49 or 159320/3167?
159320/3167
Which is greater: -1/55 or 733.8225?
733.8225
Which is smaller: -152066836 or -152066835?
-152066836
Is 12.55 at most as big as 8/1715?
False
Which is greater: 925 or 23092/25?
925
Is -49 at most -9653/202?
True
Which is smaller: -0.04 or -32694924?
-32694924
Is 0.5 at least as big as -5961038?
True
Is 83/10582 < 19/6?
True
Is 1 at most as big as 9332/18947?
False
Which is smaller: 18353 or 18273?
18273
Is 137/2857068 bigger than -1?
True
Which is greater: -3461 or -65320?
-3461
Which is smaller: 0.31268904 or -1?
-1
Are -1/71595 and -2/19 equal?
False
Is 15627767 bigger than 15627763?
True
Which is smaller: 49/35303549 or 0?
0
Is 2/8548697 at most as big as -1?
False
Is -21.57 < 31968?
True
Does -3/21135694 = -1?
False
Are -41/292552 and 0 nonequal?
True
Are -4 and 32857.49 unequal?
True
Which is smaller: 6 or -8/1546515?
-8/1546515
Which is greater: -119779949/2 or -59889975?
-119779949/2
Is -11/9449437 bigger than 1?
False
Is -855022 at most -855947?
False
Is -23899/4 less than -1200?
True
Which is greater: -22817 or -80?
-80
Which is bigger: -222 or -82780?
-222
Is -40309/2815 >= -15?
True
Which is greater: 92420 or 93704?
93704
Which is bigger: 1082569857 or 1082569858?
1082569858
Which is greater: 72052 or 33760?
72052
Is 2670 bigger than -3059?
True
Which is smaller: -3/8 or -2094171?
-2094171
Which is smaller: -612457/6 or -102077?
-102077
Which is greater: -4089989 or -11?
-11
Which is smaller: 78099 or 78275?
78099
Which is bigger: -1 or 156145522?
156145522
Do 0 and 210/4948753 have different values?
True
Which is greater: 0.07911563 or -2?
0.07911563
Which is smaller: 3/5 or -594756?
-594756
Which is smaller: 1296794 or 1296784?
1296784
Is 0 less than -268/187875?
False
Which is smaller: 1 or -247/105286?
-247/105286
Which is smaller: 1 or -4524/168257?
-4524/168257
Does 4129910 = 4129856?
False
Which is smaller: -4479682 or -4479679?
-4479682
Which is smaller: -66 or -54009/803?
-54009/803
Is 3/493812655 less than or equal to -1?
False
Is 35980 less than 36209?
True
Is -2.74 less than -1742/37?
False
Is 1 < -5/81098116?
False
Is -17/20925146 bigger than -1?
True
Are 138272121 and 138272125 equal?
False
Which is greater: -87/499192 or -1?
-87/499192
Is 2947209 < 2947207?
False
Which is smaller: 291.46 or -93/4?
-93/4
Which is bigger: -11/2 or 2755611?
2755611
Is 22825557 smaller than 0?
False
Which is smaller: -19821221 or -1/3?
-19821221
Do -1 and -2/45678383 have the same value?
False
Is 119696 equal to 119615?
False
Which is smaller: -398794 or -398772?
-398794
Is -194964 at most -195367?
False
Which is smaller: -5/4 or 944.79?
-5/4
Which is greater: 9884528 or 9884531?
9884531
Is 84 at least as
|
{
"pile_set_name": "DM Mathematics"
}
|
3 = 4*n, 3*k = 3*n - 6*n + 228. Suppose 2*i = 15 + 27. Let p = n - i. What is the tens digit of p?
5
Let h be ((-484)/6 + 2)*3. Let r be 0 + (-4 - h)/4. What is the units digit of 1*r*5/10?
9
Let d(m) = -m**3 + 7*m**2 - 8*m - 12. Let v be d(5). Let n be ((-1 + 1)*(-1)/v)/(-1). Suppose -750 = -n*b - 6*b. What is the units digit of b?
5
Let x = 12 + -9. Suppose x*h - 162 = 2*h. Suppose 4*y - h = 166. What is the units digit of y?
2
Let y(i) = 1 + 9*i**2 + i**3 + 3*i**2 + 0 - 12*i - 4*i**2. Let f be y(-5). Suppose 0 = -c + f - 49. What is the units digit of c?
7
Let u(g) = 499*g - 3754. What is the hundreds digit of u(95)?
6
Let m = 54360 - 29955. What is the hundreds digit of m?
4
Suppose 0 = 2*b - 8, 5*g - 11*b + 10*b + 29 = 0. Let v(f) = 22*f**2 - 9*f - 35. What is the hundreds digit of v(g)?
5
Suppose -a + 473 = -6*a - 4*b, 5*a = b - 463. Let z = a + 96. Suppose -m + 2*m - 5*x = 11, -2*m + z*x = -8. What is the units digit of m?
1
Let n be (-204)/(-714) + 2 + 141/21. Let s(x) = 130*x - 1. Let q be s(1). What is the tens digit of q/n*(-2 + 5)?
4
Let t(f) = 42*f**2 - 34*f + 3. Let v be t(-7). Suppose 0 = 3*o + 5*j - v, 6*o - 4*j - 1562 = 4*o. What is the units digit of o?
3
Let x(q) = -958*q - 148. What is the hundreds digit of x(-17)?
1
Suppose 2*i = -12*i + 42. Let v(m) = -2*m**2 + 9*m - 6. Let a be v(i). Suppose -5*f = 2*k - 2*f - 112, -k - a*f = -62. What is the tens digit of k?
5
Let b be 4 - ((-27250)/60 + (-1)/(-6)). Suppose 5*g + 3*c = b, -2*g + 4*c + 62 + 116 = 0. What is the tens digit of g?
9
Let l = 117 - -564. Suppose 5*d - 4*q = l, 0 = d - q + 2*q - 129. What is the tens digit of d?
3
Let l(j) = 5*j**3 + 8*j**2 - 9*j + 24. Let o be (-4)/(-14) + (-858)/(-182). What is the tens digit of l(o)?
0
Suppose 1346405 - 14910279 - 927674 = -459*p. What is the units digit of p?
2
Let s(p) = -p**2 + 13*p - 6. Let z be s(12). Let r(m) = -m**3 + 9*m**2 - 5*m - 7. Let t be r(z). Let q = 164 - t. What is the units digit of q?
3
Let n be -1*(8 + (-7)/(7/15)). Let x(t) = -2*t**3 - 14*t + t**3 - 5 + 0 + 11*t**2. What is the units digit of x(n)?
3
Let x = 74 + -54. Let m(b) = b**2 - 9*b - 38. Let i be m(x). Suppose -5*y + 103 = -5*d - i, -d = 4. What is the tens digit of y?
5
Suppose 3*n + 4053 = -4*k + 39287, -35248 = -4*k + 4*n. What is the units digit of k?
0
Let d(c) = -14*c**2 - 24. Let s(t) = 9*t**2 + 16. Let a(j) = -5*d(j) - 7*s(j). Let f = 2713 + -2709. What is the tens digit of a(f)?
2
Suppose 70 = t + 11. Suppose -t*h = -64*h + 10. Suppose -3 = i + y - 109, -y - 209 = -h*i. What is the units digit of i?
5
Let k = 757 + -757. Suppose -17*h - 16*h + 56694 = k. What is the thousands digit of h?
1
Let n(d) = -d**2 + 9*d + 2329. What is the tens digit of n(0)?
2
Suppose -897*b = 4*o - 892*b - 20643, 0 = -o + 2*b + 5151. What is the tens digit of o?
5
Let n = 747 - 1226. Let l = 708 + n. What is the hundreds digit of l?
2
Suppose -21 + 154 = 7*f. Suppose 25*y - 2226 = f*y. What is the units digit of y?
1
Let o = -234 + 233. What is the tens digit of o/(300/(-294) + 2/2)?
4
Suppose 5*i - 20 = 5*c, -4*c + 5*i - 18 = -0*c. Let p(t) = 2*t**2 + 4*t + 2. Let m be p(c). What is the units digit of 64 + m - (-12)/(-12)?
5
Suppose -3*b - 2*i = 0, 4*i = b - i - 17. Suppose -4*r = -b*p - 1790, -2*p + 1 + 9 = 0. What is the hundreds digit of r?
4
Suppose 0*w = -w + 3*b + 363, 4*b - 1834 = -5*w. Let r be (-10)/(-2)*w/10. Let l = r - -91. What is the tens digit of l?
7
Let f(s) = -142*s + 71*s + 70*s + 6*s**2 + 44. What is the tens digit of f(-6)?
6
Let n = -261 + 280. Let z(k) = 16*k - 12. What is the units digit of z(n)?
2
Suppose 3*k - s = 1469, 0 = 3*k - 3*s - 1003 - 464. Let f = k - 304. Suppose v - 10 = -r + f, 4*r = 3*v + 770. What is the hundreds digit of r?
1
Let l(x) = 23*x**2 - 8*x + 3. Let q(o) = o + 3. Let j be q(0). Let c be l(j). Suppose -c - 378 = -6*m. What is the units digit of m?
4
Let w = -1357 - -789. Let t = -190 - w. What is the tens digit of t?
7
Let q = -25948 - -44999. What is the tens digit of q?
5
Suppose -3155084 = -55*t - 34*t - 29*t. What is the ten thousands digit of t?
2
Suppose -z + s + 16045 = 0, -5*z + s - 2882 + 83119 = 0. What is the units digit of z?
8
Let p be (-7)/14 - (-19)/2. Suppose -s + 359 = -5*w, -4*w + 1708 = -4*s + p*s. What is the hundreds digit of s?
3
Suppose -1 = j - 2*j. Suppose 0 = z + 4*c + 18, -z - 2*c - 7 = j. What is the tens digit of -2*((z - 5) + -9)?
2
Let r(b) = -3*b + 79. Let t be r(25). Suppose 5 = -5*g + 10, t*a = 5*g + 831. What is the hundreds digit of a?
2
Suppose 0 = -36*g + 32*g + 18204. What is the thousands digit of g?
4
Suppose -3*r + r + 4 = 0, 3*p + 4*r - 23 = 0. Suppose 3*c - p - 10 = 0. What is the units digit of c?
5
Suppose -182148 = -39*l - 4*l. What is the thousands digit of l?
4
Let r(w) = 7*w + 31. Let u be r(-4). Suppose 7*x - 614 = 3*x + t, -456 = -u*x + 3*t. What is the tens digit of x?
5
Let p = 1735 - 1008. Let o = 1092 - p. What is the units digit of o?
5
Let d(b) = -24*b + 12. Let l be d(0). What is the units digit of 2*(-213)/l*-4?
2
Let a(o) = 32*o**2 + 20*o - 414. What is the ten thousands digit of a(-22)?
1
Let u(v) = v**3 - 30*v**2 - 32*v + 19. Let b be u(31). What is the hundreds digit of -4 - b - 1058/(-2)?
5
Let r(v) = 8 + 2 + v - 2*v**2 - 16*v + 4. Let o be r(-10). Let j = o - -61. What is the units digit of j?
5
Suppose -2*n + 12500 = 4*d, 3*d = 3*n + 8*d - 18746. What is the tens digit of n?
4
What is the hundreds digit of 2/(-13) + 21015151/767 + -3?
3
Let o(v) = v**2 + 39*v - 13. Let m be o(-35). Let x = m + 275. What is the units digit of x?
2
Suppose r - 14 = -r. Let x = 21 - -9. What is the units digit of x + r/(21/(-12))?
6
Let c be (-4316)/(-6) + 30/45. What is the units digit of ((-27)/6)/((-3)/c*3)?
0
Suppose -403*c = -407*c + 28, 4414 = k - 3*c. What is the units digit of k?
5
Let g(b) = b**3 - b**2 - b + 1086. Let w be g(0). Suppose 5*z + 4*d = 1817, -z = -4*z - d + w. What is the tens digit of z?
6
Suppose 4*y + 4*v + 148 = -128, 0 = 2*v - 2. What is the hundreds digit of (2 + -24)*y/7?
2
Suppose 866 = 6*f - 730. Let w = f + -29. Suppose 4*o = 419 + w. What is the tens digit of o?
6
Suppose 0 = -v - 5*p + 8516, -v - 7*p + 4*p + 8510 = 0. What is the units digit of v?
1
Suppose 4*i = -5*w - 52, 5*i + 34 + 22 = -4*w. Let p = -1921 - -1829. What is the units digit of p/(-16) + (-2)/i?
6
Let u = 10734 - 5748. What is the units digit of u?
6
Suppose 0 = 27*m - 101*m + 588152. What is the thousands digit of m?
7
Suppose 0 = -82*a + 80*a - 20. Let p be (a/4)/(5/(-4)). Suppose -3*k + 367 = h - 3*h, 2*h + 242 = p*k. What is the hundreds digit of k?
1
Suppose h = 1642 + 285. Suppose 0 = -10*m - h + 13757. What is the tens digit of m?
8
Let m(l) = -l**3 - 12*l**2 + 11. Let v be m(-12). Suppose -12869 = -v*g + 1156. Suppose -5*i + 0*i + g = 0. What is the tens digit of i?
5
Suppose 2*r = -r + 186. Let b = r + 25. Let k = 156 - b. What is the units digit of k?
9
Let w = -9298 + 20010. What is the hundreds digit of w?
7
Let a be (-15)/(-5) + (-2)/4*-482. What is the tens digit of 1/(4/4)*a?
4
Let l(d) = 7*d + 65. Let o be l(-15). What is the tens digit of (-1143)/(-5) - (16/o)/1?
2
Let a(w) = 5438*w**2 - 125*w - 25. What is the units digit of a(2)?
7
Let d = 237 + 25452. What is the tens digit of d?
8
Let u be 6/20 - 45/150. Suppose u = -a - 5*x + 315 + 250, 4*x + 4 = 0. What is the units digit of a?
0
Suppose -2*a + 12 = -44. Suppose -27*w - 469 = -a*w. What is the tens digit of w?
6
Let t(q) = -q + 7. Let j = 9 - 5. Let w be t(j). Suppose 0 = 5*k - w*m - 1036 - 451, -2*m = 3*k - 896. What is the hundreds digit of k?
2
Let u(t) = 17*t + 1. Let h = -36 - -55. Suppose -4*k + h = 3*x, 5*k - 3*k + 18 = 4*x. What is the tens digit of u(k)?
1
Suppose 3*z + 36343 = b, 2*z - 6*z = -b + 48457. What is the tens digit of (-204)/(-340) - z/10?
1
Let k(l) = 23*l**2 - 50*l - 196. What is the hundreds digit of k(14)?
6
Suppose -598*f + 843*f = 10422545. What is the tens digit of f?
4
Let f(k) = 1764*k**2 + 15*k - 14. What is the hundreds digit of f(-2)?
0
Suppose -j = -3*q + 3, 3*q - 12 = 7*q + 4*j. Suppose 5*m - 140 = -5*g, 2*g - 2*m = -q*g + 76. What is the tens digit of g?
3
Let r be 3*(-11)/(165/(-20)). Suppose -5*t + x + 1223 = -2*x, 248 = t - r*x. What is the units
|
{
"pile_set_name": "DM Mathematics"
}
|
xpand (-b + 12*b + 4*b)*(-3 + 6 - 2) - 12*b - 59 + 59.
3*b
Expand ((-6 + 2 + 2)*(1 - 4 + 1) + 0 + 0 - 2)*(196 - 123*p**3 - 196).
-246*p**3
Expand (-48*p**2 - 4*p**2 - 15*p**2)*(-5*p + 4*p + 3*p)*(2 - 3 + 2)*(-2*p**2 - 4 + 4).
268*p**5
Expand 0*f**3 - 3*f**3 + f**3 + (-f**2 + 0*f**2 + 3*f**2)*(3*f - 3*f - 2*f) + 9*f**3 - f**2 - 2 + 4*f**3 - 19*f**3 - f.
-12*f**3 - f**2 - f - 2
Expand (0 - 4 + 3)*(0 - 2 - 1)*(0 + 2*c - 5*c - 1)*(0 + 0 + 2).
-18*c - 6
Expand (-3 - 2*a + 3)*(-3 + 0 + 2) + (a + 3*a - 2*a)*(1 - 4 + 5).
6*a
Expand (4 - 7 - 5)*(273 + 21*q + 264 - 544).
-168*q + 56
Expand (2*r - 2*r - r**2)*(6*r - 16*r - 2*r)*(2 - 6 + 2 - r)*(2*r - r + 0*r).
-12*r**5 - 24*r**4
Expand 2*g - 2*g - 3*g - 2 - 2*g + 2 + (g - 3*g + g)*(1 + 4 - 3) + (4*g + 4 - 4)*(-1 + 5 - 3).
-3*g
Expand (a**2 - 5*a**2 + 3*a**2)*(-a**3 - 4*a + 4*a) + (-2 + 3*a**3 - 4*a**3 + 3)*(69*a**2 - 103*a**2 - 109*a**2).
144*a**5 - 143*a**2
Expand (-353*v + 353*v - 10*v**3)*(-1 - 12 - 2*v**2 + 4).
20*v**5 + 90*v**3
Expand (-4 + 6 - s + 0*s)*(27*s - 62*s - 276 + 2*s**2 + 36*s).
-2*s**3 + 3*s**2 + 278*s - 552
Expand 0*l**2 - 2*l**3 + 0*l**2 + l**3 + 4*l**2 - 4*l**2 + (2*l + 0*l + 0*l)*(4*l**2 - 3*l**2 + 0*l**2) + 2*l**3 + 2 - 2 - 4*l**3 + 37*l**3 + 28*l**3.
64*l**3
Expand (532*t**2 + 534*t**2 + 3*t**4 - 1038*t**2 - 1)*(3 + 2*t - 3).
6*t**5 + 56*t**3 - 2*t
Expand -z**3 - 2*z**5 + 54*z - 54*z + 3*z**5 - 4*z**5 + 0*z**5 + (3*z**3 - 2*z**3 - 4*z**3)*(0 - 2*z**2 + 0) + 2*z**3 - 2*z**3 + 2*z**5.
5*z**5 - z**3
Expand (3 - 3 - 2*d + (0 - 15 - 6)*(0*d + d + 0*d))*(3*d**3 + d**3 - 7*d**3).
69*d**4
Expand (1 - 3 - 3)*(0 - 3 + 2)*(-45*w - 9*w + 7*w)*(-4 + 5 + 0).
-235*w
Expand ((-1 + 4 - 4)*(-4 + 3 + 0) + 0 + 3 - 2)*((5 - 5 + 2*q)*(-2*q + q + 2*q) - 43*q**2 - 553 + 553).
-82*q**2
Expand ((4 - 5 + 0)*(-3 + 6 - 2) - 2 - 11 - 75)*(x**4 - 4*x**4 + 4*x**4).
-89*x**4
Expand (0*q**3 - 4 + q**3 + 2 + 3*q**2)*(14*q**2 + 18*q**2 - 20*q**2).
12*q**5 + 36*q**4 - 24*q**2
Expand (2*s**3 - 11*s**2 + 1 + 1 + 20*s**2)*((-5 - 3 + 0)*(1 - 3 + 1) - 2 + 4 - 3 + 1 - 1 + 1 + (1 - 6 + 3)*(-1 - 1 + 3) + 0 - 2 + 4 - 1 + 3 + 0).
20*s**3 + 90*s**2 + 20
Expand (0*y**2 + 2*y**2 - y**2)*(5 + 0 - 2 + (-1 + 5 - 2)*(0 - 3 + 1))*((-y - y + 3*y)*(1 + 1 - 1) + 2 - 2 - 2*y - 8*y + 4*y - 9*y).
14*y**3
Expand (r + 0*r + r)*(3*r - 94775*r**2 + 94775*r**2 + 38*r**4).
76*r**5 + 6*r**2
Expand (4 - 4 - 10*r)*((1 + 4 - 6)*(1 - 2*r - 1) + r + 0*r - 6*r).
30*r**2
Expand (f + 0*f - 2*f + (2*f - f - 3*f)*(-2 + 3 - 2))*(-2 + 4 + 0 + (-513 + 391 + 423)*(-5 + 0 + 3) + 2 + 2 - 6 + 4 - 4 + 2).
-600*f
Expand (-5*z + 7*z + 6*z)*(2 - 4 + 3) - 3*z - 7*z + z.
-z
Expand (-1 + l + 1)*(55 - 37 - 35) + (-1 + 1 + 1)*(3*l + 0*l - 4*l).
-18*l
Expand (1 - 2 + 3)*((-9 - 3 - 5)*(2*i - 3*i + 3*i) + 2 - 2*i - 2).
-72*i
Expand (3*a**4 - a + a)*(16*a - 5*a + 5*a + 45*a).
183*a**5
Expand (-k**2 - k + k)*((-4 + 2 + 4)*(-3*k + k + 0*k) - 3 - k + 3 + k - 4*k + 4*k - 2*k + 4*k - 4*k + 0 + 912*k - 914*k - 5).
8*k**3 + 5*k**2
Expand -5*q**2 + q**2 + 3*q**2 + q**2 - q + q - 3*q**2 - 4*q + 4*q + (-5*q - q + 4*q)*(-6*q - 7*q + 3*q).
17*q**2
Expand (80 - 58 + 135)*(1 - 1 + s).
157*s
Expand o**3 + 2*o**3 - 5*o**3 + (o**2 - o**2 - 2*o**2)*(-o + 3*o - o) - 4*o**3 + 2*o**3 + o**3 + (1 + 3*o - 1)*(-4*o + 4*o + 7*o**2).
16*o**3
Expand (-2*d**3 - 1 + 1)*(-d + 6*d + 2*d) + (-2*d**2 + 0*d**2 + d**2)*(d + 0*d + d)*(-2 + 2 - d) + (-2*d**3 - 3*d**3 + 2*d**3)*(2 - 2 - d).
-9*d**4
Expand (61 + 65 - 34 + 28)*(0*a**2 - a**2 - 3*a**2).
-480*a**2
Expand (t - 2*t - t)*(-526*t**2 + 875*t - 875*t).
1052*t**3
Expand -3*c**3 + 5*c**3 - 4*c**3 + (c**2 + c**2 - 3*c**2)*(-3*c - 3*c + 4*c) + 0*c**3 - 4*c**3 + 6*c**3 - 5*c**3 + 7*c**3 + 14*c**3.
18*c**3
Expand -3*z**2 - z**2 + 5*z**2 + (37 - 37 - 19*z)*(1 - 1 + 2*z)*(-4 + 4 - 4) + 4*z**2 - 5*z**2 - 6*z**2.
146*z**2
Expand (-4*l + l + 0*l)*(-1 + 8 - 2 + (-1 + 3 - 1)*(-2 - 4 + 4) - 3 + 2 + 3).
-15*l
Expand (-29*c - 38*c - 50*c)*(-2*c + c + 0*c).
117*c**2
Expand (-4*n**4 + 12*n**4 - n**4)*(12 + 8 + 0).
140*n**4
Expand (-c + 2*c + 0*c)*(6 - 6 + 2 + (-3 - 1 + 6)*(-1 + 3 - 3) + 2 - 1 + 2)*(-4*c**3 + 6*c**3 - 3*c**3).
-3*c**4
Expand (1 - 6 + 3)*(0*o - o + 0*o) + (3 + 2 - 6)*(-1 + 9 - 5)*(-50*o - 39*o + 44*o).
137*o
Expand (20*w**2 - 2*w**2 + 5*w**3 - 8*w**2)*(2*w - 3*w - 5*w).
-30*w**4 - 60*w**3
Expand (18*k - 18*k + 64*k - 5)*(k - k - 2*k).
-128*k**2 + 10*k
Expand (19*q - 19*q - 7*q**3)*(2*q + 4 - 2 - 3*q).
7*q**4 - 14*q**3
Expand (-3 + 2 + 0)*(-6*d**2 - d**2 + d**2) + 4*d + d + d**2 + d.
7*d**2 + 6*d
Expand (16 - 5 + 5)*(53 - 2*x**3 - 53).
-32*x**3
Expand (2 - 2*c - 2)*(5 + 5 - 5) - c + 0*c + 4*c.
-7*c
Expand (-8 + 2 - 4 + (3 + 0 - 2)*(2 - 2 + 1) - 1 + 1 + 2)*(l - 4*l + l)*(126*l**2 + 18*l**2 + 15*l**2).
2226*l**3
Expand (-24*k - 3*k + 11*k)*(k + 0 + 0).
-16*k**2
Expand (1 - 12*p - 6*p - 4*p)*(0 + 4 + 0).
-88*p + 4
Expand -15*y**2 + 15*y**2 - 5*y**3 + (0*y**2 - 4*y**2 + 3*y**2)*(-3 + 2*y + 3) + y**3 - y**3 - 4*y**3.
-11*y**3
Expand (-9*m + 6*m + 26 + m)*(0*m**2 + m**2 + 0*m**2).
-2*m**3 + 26*m**2
Expand 0*y + 4*y**2 + 0*y + (0*y - 4*y + 0*y)*(0*y + 3*y - y) + (-y - 2 + 2)*(3*y - y - y).
-5*y**2
Expand (-25*q - 32*q - 24*q + 901 + 79*q)*(0*q**2 + 0*q**2 + 2*q**4).
-4*q**5 + 1802*q**4
Expand (9*k + 4*k + 48*k)*(-250 + 253 - k**2 + 4*k**2).
183*k**3 + 183*k
Expand -11*s**2 + 11*s**2 - 12*s**4 - 29*s**3 + 7*s**4 + 29*s**3 + (4*s**2 + s**2 - 2*s**2)*(-2*s**2 + 2*s**2 + 2*s**2).
s**4
Expand (1 - 1 + 2*b**2)*(1 - 1 + 2*b) + 8*b**3 + 5*b**3 + 5*b**3 + (2*b + b**2 - 2*b)*(-3*b - 3*b + 5*b) + 6*b**3 - 13*b**3 - 8*b**3.
6*b**3
Expand (85 - 85 - 47*i)*(4*i**2 - 4*i**2 - 2*i**2) + 0*i**3 - 2*i**3 + 0*i**3.
92*i**3
Expand (47*c + 23*c + c - 4*c)*(41 + 11 - 12).
2680*c
Expand (-3*u**4 + 5*u**4 - u**4)*(-2*u + 2*u + u - u + 4*u - u + (-2 + 4 - 1)*(-u + 4*u - 4*u) + u - u + 2*u + 44*u + 288 - 288 + u + 0*u + u).
50*u**5
Expand (1 + 0 + 2)*(0*n + 12*n + 53*n).
195*n
Expand -332*v + 3*v**3 - 12*v**5 + 332*v + (0*v - 4*v + 3*v)*(-3*v**4 - 4*v**4 + 5*v**4).
-10*v**5 + 3*v**3
Expand (2 - 2 + 1)*(-k**2 - 2*k**2 - 3*k**4 + k**4)*(-7*k + 4*k - 3*k).
12*k**5 + 18*k**3
Expand (-93*v + 100*v - 112*v)*(-v + 3*v + 0*v)*(0 - 2*v**2 + 0).
420*v**4
Expand (2*d**2 - 3*d**2 + 2*d**2)*(-71*d + 17*d**2 + 71*d)*((-2 - 3 + 3)*(-2 + 0 + 0) - 3 + 3 + 1).
85*d**4
Expand -166 + 165 + 2*h**2 + 17*h - h**2 + 2 + h**2 - 2 - 2*h**2 + 0 + 0 + (-2*h + 0 + 0)*(-h - 2*h + h).
4*h**2 + 17*h - 1
Expand (2*z + 5*z - 2*z)*(3 + 1 - 3 + (-1 + 1 - 3)*(11 - 2 + 0)).
-130*z
Expand 9*f**3 - 16*f**3 - 27*f**3 + (0*f**2 - f**2 - f**2)*(-f + 0*f + 4*f) + 0*f**2 + 0*f**2 + f**3 + (2*f**2 + 3*f**2 - 4*f**2)*(-f + 0*f + 2*f).
-38*f**3
Expand 14*q**2 + 8*q**2 - 21*q**2 + (0 + 0 - 2*q)*(0*q - 2*q + 3*q).
-q**2
Expand (-2 + 4*v + 2)*(-24*v - v + 13*v).
-48*v**2
Expand (1 + 4 - 8 - 5)*(2*l - 2*l + 11*l**4).
-88*l**4
Expand (6*r**2 - 4*r**2 - r**2)*(2 - 2 + 2*r) - 4 - 43443*r**2 - 3*r**3 + 43443*r**2.
-r**3 - 4
Expand (3 - 5 + 0)*(-38*l**2 + 38 + 15 - 52)*(-2*l**3 + 2*l**3 - 2*l**3).
-152*l**5 + 4*l**3
Expand (-7*t**2 - t**2 + 2*t**2)*(45 + 47 - 36).
-336*t**2
Expand (-2*n**3 + 4*n**3 - n**3)*(0 - 3 + 1) + (-13 + 6*n**2 + 13)*(-1 + 2*n + 1) + 0*n**3 - n**3 + 0*n**3 + 15*n**2 - 16*n**3 - 15*n**2.
-7*n**3
Expand (4*u**4 - 4*u**4 - 6*u**5)*(-75 + 122 - 132).
510*u**5
Expand (-2*x**3 + x - x)*(x - 3*x + 0*x - 2*x + 0*x + 0*x + 4*x - x - 4*x + (-3*x - 2*x + 3*x)*(-3 + 1 + 1) + 0*x + 4*x - 2*x + 2*x - x + x + 3*x - x - x).
-4*x**4
Expand 2*l + 0*l - 4*l + (-16*l + 18 + 19 - 23)*(-4 + 1 + 5)*(-3 + 3 - 1).
30*l - 28
Expand (4 + 0 + 0)*(2*u + 0*u - 3*u) - 3*u + 0*u + 4*u + (-2 + 3 - 2)*(0*u + u + u) - 24 + 3*u + u - 6*u.
-7*u - 24
Expand (2*v**2 - 3*v**2 + 0*v**2)*(-4 + 5 - 4 + (5 - 6 - 1)*(4 + 1 - 3) + (0 - 3 + 5)*(0 - 3 + 0) + 4 - 1 + 0)*(-4*v + 4*v - v).
-10*v**3
Expand (-3*g**3 + 3*g**3 - g**3 + (2*g**2 - g**2 + 0*g**2)*(3*g - 2*g + 0*g) + 3*g**3 + 10 - 10)*(-2*g + g - 6*g).
-21*g**4
Expand (-2 + 4 - 3)*(-1 + 0 + 3)*(-24*i - 106*i + 23*i) + (-5*i - 2*i + 5*i)*(0 + 2 - 3 + (2 + 1 - 1)*(0 + 4 - 2)).
208*i
Expand (-1 + 3 + 0)*(2*o**5 + 0*o**5 + 2*o**5) + o**5 + 0*o**5 + 2*o**5.
11*o**5
Expand (-300*u**4 + 480*u**4 + 920*u**4)*(-2 + u + 2)*(2 - 4 + 4).
2200*u**5
Expand (2*j - 53 - 16 + 20)*(1 - 1 + 3*j**2) + (j + 1 - 1)*(-j**2 - 2*j**2 + j*
|
{
"pile_set_name": "DM Mathematics"
}
|
1931, -167897, -223861, -279823, -335783, -391741?
-447697
What is next in 18, -276, -758, -1422, -2262, -3272?
-4446
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-492693
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-49867
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-2421926
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-5366
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-3397
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-151540
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8538
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-19537
What is next in 1995, 4011, 6025, 8037?
10047
What comes next: -21284, -42608, -63934, -85262, -106592?
-127924
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7999
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5356
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-989
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-17951
What is the next term in 231, 427, 749, 1197?
1771
What comes next: -5928, -5935, -5942, -5949, -5956, -5963?
-5970
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77862
What is the next term in 41, -70, -179, -292, -415?
-554
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39258
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-208425
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2311
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992324
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142460
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62333
What is the next term in -1434, -1459, -1510, -1605, -1762, -1999, -2334, -2785?
-3370
What is next in 26827, 26891, 26969, 27067, 27191?
27347
What is next in 365284, 365277, 365270?
365263
What is the next term in 2137, 4166, 6195, 8224?
10253
What is next in -1166, -2414, -3662, -4910, -6158?
-7406
What is the next term in 144, 370, 630, 930, 1276?
1674
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4326
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13204
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3223201
What is next in -4795644, -4795642, -4795640?
-4795638
What is next in 166, 757, 1776, 3223, 5098?
7401
What is next in 18018, 36035, 54052?
72069
What is the next term in 136, 161, 220, 319, 464?
661
What is the next term in 1120, 2192, 3264?
4336
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-7658
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4044
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4912
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-4527
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25554
What is next in -25, 39, 167, 341, 543, 755?
959
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2220
What is the next term in 366, 703, 1042, 1383?
1726
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-1097
What comes next: 119186, 238394, 357602, 476810, 596018?
715226
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14608741
What is next in 9449, 19000, 28551, 38102?
47653
What is next in -16933, -16942, -16955, -16972, -16993, -17018, -17047?
-17080
What is next in 4310, 4292, 4274?
4256
What is the next term in -43617, -87209, -130801, -174393?
-217985
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316268
What comes next: 4839, 9361, 13883?
18405
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7019
What is next in 9726, 38872, 87442, 155436, 242854?
349696
What comes next: -525, -490, -455, -420, -385, -350?
-315
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84019
What comes next: 182, 224, 300, 410, 554, 732?
944
What is the next term in 195, 295, 385, 459, 511?
535
What is the next term in -17069, -17084, -17099, -17114, -17129, -17144?
-17159
What is next in -22756, -22750, -22744, -22738, -22732, -22726?
-22720
What comes next: -3639, -3445, -3249, -3051, -2851, -2649?
-2445
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-14411
What comes next: 9006, 18433, 27858, 37281, 46702, 56121?
65538
What comes next: -68148, -68147, -68146, -68145, -68144, -68143?
-68142
What is the next term in -3030, -5864, -8698?
-11532
What comes next: -956, -1953, -3010, -4157, -5424, -6841?
-8438
What comes next: 2209, 2160, 2099, 2020, 1917, 1784, 1615, 1404?
1145
What is next in -3988, -4039, -4092, -4147, -4204, -4263?
-4324
What is the next term in -139079, -278156, -417233?
-556310
What is the next term in 168, 394, 674, 1014, 1420, 1898, 2454?
3094
What comes next: 1153, 1254, 1399, 1570, 1749, 1918, 2059, 2154?
2185
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1163
What comes next: 790, 1576, 2336, 3052, 3706, 4280, 4756?
5116
What is the next term in -449, -1534, -2617, -3698, -4777, -5854, -6929?
-8002
What comes next: -6096, -12199, -18314, -24447, -30604, -36791, -43014?
-49279
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12373
What is next in -65, -536, -1821, -4328, -8465?
-14640
What is next in -252132, -252131, -252130, -252129?
-252128
What is next in -6665, -6656, -6641, -6620, -6593, -6560, -6521?
-6476
What comes next: 581, 565, 547, 527, 505?
481
What is the next term in 1783, 7307, 16571, 29581, 46343, 66863, 91147, 119201?
151031
What is next in 4512, 8181, 11850, 15519, 19188?
22857
What comes next: -708, -783, -946, -1227, -1656?
-2263
What is next in -77, -295, -761, -1601, -2941, -4907, -7625?
-11221
What is the next term in 59198, 59202, 59206?
59210
What is next in -18549, -18526, -18507, -18492, -18481, -18474, -18471?
-18472
What is next in 1075, 1124, 1171, 1216, 1259, 1300, 1339?
1376
What is the next term in -11512, -11442, -11372, -11302, -11232?
-11162
What is next in -201435, -201443, -201465, -201507, -201575?
-201675
What is next in 5110, 10191, 15242, 20263, 25254?
30215
What comes next: -9047, -8945, -8851, -8771, -8711?
-8677
What comes next: 74, 130, 162, 164, 130, 54?
-70
What is the next term in 115, -313, -741?
-1169
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119250
What is the next term in -20, 65, 210, 415, 680, 1005, 1390?
1835
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7077
What is the next term in -900, -3604, -8108, -14412, -22516, -32420, -44124?
-57628
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-770
What is next in 656, 1174, 1692?
2210
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-14791
What comes next: -253, -335, -419, -505, -593, -683?
-775
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-492413
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2846
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-817524
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-4375
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23647
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-1030
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57713
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1461
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98422
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33
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-124177
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54488
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64436
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1215
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-1924
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108185
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701
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-2832
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-42705
What is next in -126, -214, -314, -432, -574, -746?
-954
What comes next: 1952, 4043, 6176, 8345, 10544, 12767, 15008, 17261?
19520
What is the next term in 770, 849, 928?
1007
What is the next term in 610, 987, 1364, 1741, 2118, 2495?
2872
What is next in 2158633, 4317268, 6475903, 8634538, 10793173, 12951808?
15110443
What is next in -348, -239, -130, -21, 88, 197?
306
What comes next: 37922, 37922, 37924, 37928?
37934
What comes next: 4482, 3790, 3098, 2406, 1714?
1022
What is next in -865, -1814, -2
|
{
"pile_set_name": "DM Mathematics"
}
|
84 = -3*l. Suppose -202 = 126*r - 3226. Let q = r - v. Solve -4*n + 5 + 3 = q for n.
2
Suppose 21 = -2*p + z + 81, -138 = -5*p + 4*z. Solve 35 = p*r + 1 for r.
1
Suppose -208*v = -196*v - 72. Solve v*o - 1381 + 1387 = 0 for o.
-1
Suppose -116*l - g = -111*l - 99, g = 3*l - 53. Solve 16*k - l = 35*k for k.
-1
Let v = -6844 - -6854. Solve 441*s = 443*s - v for s.
5
Suppose 34 = 5*r + 8*i, -3 = -r - 2*r + i. Solve r*w = -150 + 160 for w.
5
Let s(o) = o**2 + 74*o - 1064. Let n be s(-88). Solve -6*w + 180 = n for w.
2
Let x be (-4 - -5) + 1128/6. Suppose -180*n + x*n = 45. Solve 8*g - 15 = n*g for g.
5
Let s = 229 + -229. Let x be (s/(-1))/(60/(-6) - -9). Let f(u) = -u**3 - 4*u**2 - 2*u + 3. Let k be f(-3). Solve k = y - x*y - 2 for y.
2
Suppose 16*t = -26*t - 301 + 1309. Solve 0 = -t*j - 32 - 88 for j.
-5
Suppose b - 3*b = -70. Let w = -31 + b. Suppose -4*m + 9 = w*s - 3*m, 2*m - 6 = -2*s. Solve s = 3*p + 8 for p.
-2
Let b be 7*1 + -5 + 24. Let o be 39/b*170/3. Solve 0 = 82*v - o*v - 9 for v.
-3
Let s = 26 + -10. Let r = -942 + 945. Suppose -r*l + s = 5*l. Solve b + l = -0 for b.
-2
Suppose 0 = 3*k + 14 - 2. Let s(t) = 68*t - 31*t - 38*t + 2. Let r be s(k). Solve -g - g - r = 0 for g.
-3
Let w(n) = -n - 16. Let q be w(-15). Let l(b) = 5 - 1546*b**3 + 4*b + 1542*b**3 - 1. Let z be l(q). Solve z*c + 3 = 15 for c.
3
Suppose 147*z - 146*z - 163 = -3*y, -5*y = 3*z - 485. Solve -146 = -51*g + z for g.
6
Suppose 3*i - 3*l = -96 + 93, 0 = -2*i - l + 1. Solve -16*p - 106 + 26 = i for p.
-5
Let k(x) be the third derivative of 2*x**4/3 - 39*x**3/2 - 83*x**2. Let h be k(8). Solve h*g + 4 = 10*g for g.
-4
Let a(f) = 1061*f - 9381. Let t be a(9). Solve 17*k - t = -7*k for k.
7
Let p(l) = l**3 - 4*l**2 - 4*l + 2. Let m be p(5). Let f be 26/286 + 2616/264. Solve -f + m = 3*h for h.
-1
Let z(y) = -32*y**3 - 5 - 8*y - 11 + 31*y**3 + 11*y**2. Let q be z(10). Solve 0 = -k - 1 + q for k.
3
Suppose 2*o - y + 25 - 45 = 0, 0 = 5*o + 3*y - 28. Solve 0*i = o*i - 48 for i.
6
Let f = -20 - -24. Suppose -f*y + 1 = 5*j, -5*j = -2*y - 3*y - 10. Solve u + 4 = j for u.
-3
Suppose 2*z - 2 = z. Suppose 5*h + h - 7*h = -11*h. Solve -z*i + 8 = -h*i for i.
4
Let a(i) = 914*i + 12784. Let f be a(-12). Solve -18*v - 1906 + f = 0 for v.
-5
Let b be 8/3 - ((-15)/9)/5. Suppose 14*u - 168 = -14*u. Solve b*i + u = i for i.
-3
Let m = 15258 + -15234. Solve -36*v + 28*v = m for v.
-3
Let u(w) be the first derivative of w**4/4 - 7*w**3/3 + 5*w**2 - 14*w + 23. Let c be u(6). Let s be 4*6/(48/c). Solve -2*g = 3*g - s for g.
1
Let p(i) = -516*i**3 + 3*i**2 + 4*i + 1. Let m be p(-1). Let h = m - 513. Solve 6*x + h = -3 for x.
-1
Suppose 10 = -2*a, 3*a + 102 = 6*l - 3*l. Suppose -u = -v + 4, 4*v - 2*u - l = -v. Solve -v = -4*j - 3*j for j.
1
Suppose 2*f - 65 + 41 = 4*u, 4*f = -4*u + 84. Let j(p) = 7*p - 54. Let o(l) = -8*l + 53. Let c(r) = 4*j(r) + 3*o(r). Let w be c(f). Solve 5 = -5*b + w for b.
2
Suppose 3*g = -2*y - 6 + 29, 3*y = -3*g + 27. Let f be 7 + -3 - (y + -3). Solve -3*h + 24 = f*h for h.
4
Suppose 114*d - 99200 = -134*d. Solve -d*a + 3 = -403*a for a.
-1
Let t be 6*(-2 - (-45)/6). Let n = -87115 - -87118. Solve 6*z + t - n = 0 for z.
-5
Let g = -246 - -256. Let p(u) = u**3 - 18*u**2 - 15*u - 41. Let l be p(19). Solve 3*a - g*a - l = 0 for a.
-5
Let m = -2204 + 2274. Solve -m = 19*v + 6 for v.
-4
Let j(n) = 41*n - 186. Let o be j(6). Suppose -77*r + 68 = -o*r. Solve r = 4*f - 2*f for f.
2
Let n = 12706 - 11930. Solve -n*j + 765*j = -77 for j.
7
Let y = 2862 - 2858. Solve -8*u = 9*u - y*u for u.
0
Let k be -2*1/2 + (16 - (-1)/(-1)). Solve -k = -239*v + 241*v for v.
-7
Let g = 56 - 51. Suppose -27*j = -g*j. Solve j = -4*n - 0 - 4 for n.
-1
Let q = -18349 - -18349. Solve -39*f - 111 - 162 = q for f.
-7
Let k(c) = c + 9. Let l be k(-13). Let n be 4*(-5)/10 - l. Solve n*a = -2*a for a.
0
Let i(o) = 168*o - 133. Let d be i(1). Solve 40*t - d*t - 15 = 0 for t.
3
Let o(r) be the first derivative of r**3/3 - 2*r + 7. Let f be o(2). Let s(z) = 2*z**2 + 2. Let x be s(f). Solve 0 = 5*i + x for i.
-2
Suppose 2*l - 20 = -2*l - 4*q, 4*l - 15 = -3*q. Suppose l = -x - u + 3*u + 8, 4*u = -2*x - 16. Solve a + 4 + 1 = x for a.
-5
Let q(c) = c**2 - 35*c + 185. Let p be q(6). Suppose -p = 2*l - 29. Solve l*a - 5*a + 16 = 0 for a.
-4
Let w = 261 - 197. Suppose -w*f = -51*f - 39. Solve -6 = 3*q + f*q for q.
-1
Suppose -n = -3*d - 35, -22*d - 118 = -5*n - 26*d. Solve -20 + n = 6*v for v.
1
Suppose -11*k + 7*k = -5*a + 8, -a = -k - 2. Let o be (-3 - (-4 + a))*0. Solve 0*z + 2*z + 2 = o for z.
-1
Let y(o) = 13*o**2 - 2*o + 1. Let s be y(1). Suppose -c = -4*w + s, 3*w - 6 - 26 = -5*c. Suppose c*r = -0*r. Solve r*t = 2*t for t.
0
Let c(q) = -9*q**3 - 37*q**2 - 34*q + 3. Let b be c(-1). Solve -45*d = -36*d + b for d.
-1
Suppose a = -4*j + 20, 4*j - 4 = 2*a + j. Let q(v) = -v + 9. Let u be q(a). Suppose -f - u*z = 13, 0 = -5*f + 5*z + 3 + 22. Solve -4*i + f = -6 for i.
2
Let m = 54 - 43. Suppose -2*o + h + 0*h + m = 0, 0 = -5*o + 2*h + 27. Solve -2*n - o*n = 7 for n.
-1
Let t be 90/105 + (-8)/(-7). Solve -3*w = t*w - 2*w for w.
0
Let j(o) be the third derivative of -o**5/60 - 25*o**4/24 + 2*o**3 - 7*o**2. Let d be j(-25). Solve 6*a = 3*a - d for a.
-4
Let t(h) = 16 + 11 - 6 - 8*h. Let y be t(2). Solve 0*v + y = 5*v for v.
1
Suppose -2*v - 38 = -3*j, 2*j - v + 495 - 520 = 0. Solve -116*t + j = -118*t for t.
-6
Suppose 0*u - 13*u = -221. Solve u*j + 2 - 19 = 0 for j.
1
Let z(s) = 110*s + 821. Let t be z(-7). Solve 27 - t = -6*r for r.
4
Suppose a = -3093 + 3012. Let h = 59 - -26. Let k = h + a. Solve 0 = 2*d - 4*d + k for d.
2
Suppose -2*t = 3*i + 3, 5*i = 2*t - 0*i - 5. Suppose 0 = 5*d - 4*y, t = -0*y - y + 5. Solve 5 = d*b - 15 for b.
5
Suppose 87 = -k + 18. Let x = k - -120. Let p = x + -49. Solve -4*y = -p*y + 4 for y.
-2
Let q(s) = 4*s**2 + 6*s + 6. Let x be q(-2). Suppose 2*h + x = 3*n, -3 = 5*h - 3*n + 4. Solve -2*a - h = -3 for a.
1
Suppose 5*n - 5 = 3*u + 10, -5*u - 25 = 2*n. Suppose n = -8*k + 2*k - 162. Let r = -25 - k. Solve 0 = z - 3*z + r for z.
1
Suppose -3*v = -25*v + 1386. Suppose v = 7*o + 14. Solve -15 + 1 = -o*i for i.
2
Suppose 4*r + 4*w + 28 - 12 = 0, -3*r + 5*w + 20 = 0. Let h be 110/(-44)*(46/(-5) + r). Suppose -4*p - h = -3*a - 0*p, 3 = -a - 4*p. Solve a*d = 3 + 2 for d.
1
Suppose -26*p + 42 = -19*p. Let b be (-11 + 10)*-9 + 1. Solve b + 2 = -p*x for x.
-2
Suppose -16*s = -60*s. Solve 27*g - 24*g + 21 = s for g.
-7
Suppose 2*h + 10 = 0, -h - 2*h = -2*j + 47. Suppose -17*x = -j*x - 13. Let d(k) = -2*k + 30. Let m be d(x). Solve -m*r = -r for r.
0
Let t be 12*29/(-1740) - ((-672)/10 + 1). Solve -9*g = 2*g - t for g.
6
Suppose -24 = -95*a + 91*a. Suppose 4*y - 20 = a*y. Let w be (14/y)/((-2)/10) + 1. Solve 3*f + f = w for f.
2
Suppose 8*w - 781 = -781. Let n be -4*(-7)/(-4)*-2. Suppose -9*a + n*a - 15 = w. Solve i - a*i = 4 for i.
-2
Suppose 194 = -x + 213. Solve -513 = -76*r + x for r.
7
Let n be (-541)/1623*0/(-2). Let h(i) = 4*i**2 - 3*i - 1. Let o be h(3). Let v = -17 + o. Solve -3*a = v - n for a.
-3
Let u(l) = -l**3 + 26*l**2 - 24*l - 24. Let v be u(25). Let o be 1 - (6/4*-2 - v). Suppose -o*n = -3*n - 12. Solve n*x - 3*x = -3 for x.
-1
Let o = -11320 - -11574. Solve 293*p = o*p + 156 for p.
4
Let g(p) be the third derivative of p**6/120 + 7*p**5/60 + p**4/3 - 2*p**3/3 - 9*p**2. Let l be g(-5). Suppose l*b + 4*b = 20. Solve 0 = 4*v - b - 6 for v.
2
Let x(t) = 5*t - 3. Let u(b) = -2*b**2 - b + 3. Let q be u(-2). Let c be x(q). Let j = c - -24. Solve -d = -j*d for d.
0
Let j(q) = -739*q - 6560. Let d be j(-10). Solve 0 = 840*x - d*x - 50 for x.
5
Let f(z) = -7*z**2 - 247*z - 186. Let r be f(-34). Solve 0 = 8*g - r + 160 for g.
-5
Let p(t) = t**2 + 97*t + 1584. Let q be p(-17). Solve 227*y = q*y + 3 for y.
1
Let v(k) = -4*k - 9 - 1 + 2*k - 8. Let y be v(-13). Suppose -12 - y = -10*i. Solve -4*j + i + 14 = 0 for j.
4
Let j(i) be the first derivative of i**3/3 + 35*i**2/2 + 7*i - 2. Let f be j(-35). Solve v - 12 + f = 0 for v.
5
Let s = -31584 + 31620. Solve 0 = 25*x - 31*x - s for x.
-6
Let l be (1/10*31)/((-11)/(-55))*10. Solve -152 + l = k for k.
3
Let m = 468 + -473. Let n be (1*m/15)/((-3)/36). Solve -j = -n*j - 6 for j.
-2
Let w = 8 + -5. Suppose w - 27 = -6*b. Suppose 0 = -b*t - t + 65
|
{
"pile_set_name": "DM Mathematics"
}
|
2*z
Find the first derivative of -95*c**4 + 2*c**3 - 2629*c - 7147791.
-380*c**3 + 6*c**2 - 2629
Find the second derivative of 24*f*j**2 - 252*f*j + 67*f + 497967*j**2 - 6*j - 2 wrt j.
48*f + 995934
What is the derivative of 21045921*g**3 + 50503529 wrt g?
63137763*g**2
What is the second derivative of 47350958*r**2 + 47501326*r wrt r?
94701916
Find the first derivative of 22596447*h - 6391605.
22596447
Find the first derivative of -174*r**2 + 21786*r + 191094660.
-348*r + 21786
Find the second derivative of 29843602*w**4 + 727647*w + 22 wrt w.
358123224*w**2
Differentiate -102952587*b - 97524608 with respect to b.
-102952587
Find the second derivative of 13*f**5 - 839046*f**4 + f**3 - 1314009*f wrt f.
260*f**3 - 10068552*f**2 + 6*f
Find the second derivative of 186*z**3 + 1350*z**2 - 16315304*z wrt z.
1116*z + 2700
Find the third derivative of -18481565*q**3 - 9999902*q**2.
-110889390
Find the third derivative of 8*j**4*q + 870380*j**3 - 2*j**2*q - 2*j**2 - 452336*j - q - 3 wrt j.
192*j*q + 5222280
Find the third derivative of 173*g*l*q**3 + 115*g*q**3 + g*q**2 - 2*g*q - 35*l*q**3 + 211458*l - 2*q**3 - 2*q**2 wrt q.
1038*g*l + 690*g - 210*l - 12
Differentiate 248*a**3*q + 1365771*a**3 + 1020*a**2*q + 3*a*q - q wrt q.
248*a**3 + 1020*a**2 + 3*a - 1
What is the second derivative of 15*m**2*t**2 + 163786*m**2 + 389302*m*t**2 + 2*m*t + 1 wrt m?
30*t**2 + 327572
Find the second derivative of 5578593*x**2 + x - 6730198 wrt x.
11157186
Differentiate 50324670*c + 44302732.
50324670
Find the first derivative of -11*a**2*d + 15767420*a**2 - 108*a*d + 3*a + 9992*d - 1 wrt d.
-11*a**2 - 108*a + 9992
Find the first derivative of -138635*j*r**2 - 3190*j + 38*r + 2933 wrt r.
-277270*j*r + 38
Find the second derivative of 294408*h**3*w**3 + 33*h**2*w**3 - 1059*h - 427*w**3 wrt h.
1766448*h*w**3 + 66*w**3
Find the third derivative of 2*a**4 + 10293391*a**3*g**2 - 25*a**2 + 949606*g**2 wrt a.
48*a + 61760346*g**2
Find the first derivative of -68522383*z**2 - 37304861 wrt z.
-137044766*z
Find the first derivative of -564*a*o**2 + 6*a*o + 52106*a - 43352401*o**2 - 9*o wrt a.
-564*o**2 + 6*o + 52106
What is the first derivative of -1590*a**3 - 232*a**2 + 88644903 wrt a?
-4770*a**2 - 464*a
What is the second derivative of -538309304*h**3 - 64699404*h wrt h?
-3229855824*h
What is the second derivative of -33*i**4*z + 365188*i**3*z + 265104621*i*z wrt i?
-396*i**2*z + 2191128*i*z
Find the third derivative of 8450242*b**3 - 23893593*b**2 wrt b.
50701452
What is the second derivative of -143243481*c**2 + 63261*c - 1188?
-286486962
Find the third derivative of -5*j**5 + 2656504*j**4 - 9*j**3 - 196932875*j**2.
-300*j**2 + 63756096*j - 54
What is the second derivative of 37*l*q**5 + 5451279*l*q**3 + 6*l*q + 5018*l - 2*q - 472 wrt q?
740*l*q**3 + 32707674*l*q
Find the second derivative of -g**4 + 4*g**3 + 23306676*g**2 - 264187770*g wrt g.
-12*g**2 + 24*g + 46613352
What is the first derivative of -647287*y**4 + 40*y**2 + 104206552 wrt y?
-2589148*y**3 + 80*y
What is the second derivative of -909*l**3*z**2 + 236*l**3 - 63*l**2*z - 22498657*l*z**2 wrt l?
-5454*l*z**2 + 1416*l - 126*z
Find the first derivative of -2841*i**3 + 2*i**2 + 573*i - 6503218 wrt i.
-8523*i**2 + 4*i + 573
What is the third derivative of -37*n**6 + 523*n**5 + 63*n**3 + 32406972*n**2?
-4440*n**3 + 31380*n**2 + 378
Find the third derivative of -205*a**3*l**4 + 2049391*a**3*l**2 + 6756*a**2*l**4 - 2*l**2 wrt l.
-4920*a**3*l + 162144*a**2*l
What is the second derivative of 644896*f**4*n**3 + 4*f**4*n + 631*f*n**3 + 50*f wrt f?
7738752*f**2*n**3 + 48*f**2*n
Differentiate 96546811*o**2 + 298307246 with respect to o.
193093622*o
Find the second derivative of -73404986*k*l*s**2 + 351*k*l*s + 64412*k*s - 2*s**2 wrt s.
-146809972*k*l - 4
What is the third derivative of 3047997*m**5 + 4505201*m**2 wrt m?
182879820*m**2
Differentiate -608808623*g*n**3 + 8*n**3 - 15*n**2 + 2*n - 20941 wrt g.
-608808623*n**3
What is the second derivative of b**4*s + 3169958*b**3 - 6*b*s - 11*b - 15822 wrt b?
12*b**2*s + 19019748*b
Differentiate 1645826*d**4 - 12596722 wrt d.
6583304*d**3
Differentiate 3*q*u + 182126*q - 77249*u - 69 wrt q.
3*u + 182126
Differentiate -25*j**4 - 1043745*j + 19256753.
-100*j**3 - 1043745
Differentiate 2234*b*q**3 - 17*b*q - 14*b - 7540880*q**3 with respect to b.
2234*q**3 - 17*q - 14
What is the second derivative of -49239040*n**4 - 58210016*n?
-590868480*n**2
Find the first derivative of -3*h**2*n + 1903659*h**2 + 1530829*h*n**4 + 2*h + 1 wrt n.
-3*h**2 + 6123316*h*n**3
What is the first derivative of -6308808*z**2 + 35613090 wrt z?
-12617616*z
What is the second derivative of -4408*j**3 + 380*j**2 - 63276222*j?
-26448*j + 760
Differentiate 44002*b*i**2 + 38*b*i + 58*b - 389*i**2 + 1173011*i wrt b.
44002*i**2 + 38*i + 58
What is the third derivative of 237*j**5 + 218030*j**4 + 950997510*j**2 wrt j?
14220*j**2 + 5232720*j
Find the third derivative of -21278275*z**4 - 67*z**2 + 810369*z.
-510678600*z
Differentiate -2*d**3 + 1936*d**2 + 1066*d + 1546171 with respect to d.
-6*d**2 + 3872*d + 1066
Find the second derivative of -37010128*n**4 + 44794536*n.
-444121536*n**2
Find the third derivative of 523055106*t**6 - 2*t**2 + 127112*t - 1313.
62766612720*t**3
Find the first derivative of -336*g**4*n**2 + 41246*g**2*n**3 + n**3 - 8753528*n**2 wrt g.
-1344*g**3*n**2 + 82492*g*n**3
What is the second derivative of -6*i*j**3 + 20943792*i*j**2 - 424*i*j + 600*i - 60*j wrt j?
-36*i*j + 41887584*i
Differentiate 139201862*l*o**3 - o**3 - 133385075 with respect to l.
139201862*o**3
Find the third derivative of 123856*a**5 + 11*a**3 + a**2 + 16413474*a wrt a.
7431360*a**2 + 66
What is the first derivative of -543*d**4 - 2*d**3 - d**2 - 86*d + 81999849?
-2172*d**3 - 6*d**2 - 2*d - 86
What is the derivative of 47*b**2*n**2 - b**2 + 165071*b*n**2 + 2994886*n**2 wrt b?
94*b*n**2 - 2*b + 165071*n**2
What is the second derivative of 190126179*s**2 + 421128036*s?
380252358
Find the first derivative of -235*u**2*x + 134*u**2 - 3910*u - 144166843*x wrt u.
-470*u*x + 268*u - 3910
Find the second derivative of -d*o**2 - 2*d*o*v**2 + d*v**2 + 2*d - 11038*o**2*v**3 - 290*o**2*v**2 + 315*o*v**3 + 13*o*v**2 - 207*o*v + 2*v wrt o.
-2*d - 22076*v**3 - 580*v**2
What is the derivative of -19331878*z - 391526648?
-19331878
What is the first derivative of 7280845*k**3 + 11799315 wrt k?
21842535*k**2
What is the second derivative of -10519813*p**3 - 413937*p?
-63118878*p
What is the third derivative of 109249*a**2*j**4*l + 414*a**2*j**2*l + 2*a**2*l - 7*a*l + a - 78*j**3*l - 3*j**2 + 4 wrt j?
2621976*a**2*j*l - 468*l
Find the first derivative of -3*i**3*t + 45880*i**3 - 9001*i*p*t + 2*i*p - 28*i*t - 25*i wrt t.
-3*i**3 - 9001*i*p - 28*i
What is the first derivative of -39108*g**2*i**2 + 6*g*i**2 + 6*g*i - 584316*i**2 - i - 8 wrt g?
-78216*g*i**2 + 6*i**2 + 6*i
Differentiate -446*d*j**3 + 16*d*j**2 + 2*d*j*n**2 + 3594717*j**3*n**2 - 249*j**3 - j + 1 with respect to n.
4*d*j*n + 7189434*j**3*n
Find the third derivative of 24929171*p**3 - 2251676*p**2 + 4*p wrt p.
149575026
What is the second derivative of 5751543*f*j**2 - 2*f*j + j**4 + 199*j + 2193 wrt j?
11503086*f + 12*j**2
Find the third derivative of -22127071*s**3 - 2*s**2 + 47809*s - 71 wrt s.
-132762426
Differentiate -3*a**4 - 1630083*a**2 - 4436536 wrt a.
-12*a**3 - 3260166*a
What is the first derivative of 31873700*d - 16894991 wrt d?
31873700
Find the second derivative of -254329820*i**2 + 341665881*i wrt i.
-508659640
Find the second derivative of 5*k*w**2 - 173*k*w + 2652615*w**2 + 179447*w wrt w.
10*k + 5305230
Find the third derivative of 16665534*r**4 + 38877922*r**2.
399972816*r
Find the first derivative of -g**4*w - 146305253*g**4 - 632420944*w wrt g.
-4*g**3*w - 585221012*g**3
Find the second derivative of 97*a**4*k**3 + 3316677*a**4 + 343*a*k**3 + 79*a*k + 2*a - 2*k**3 + 394*k**2 wrt a.
1164*a**2*k**3 + 39800124*a**2
What is the second derivative of -2461695*f**2 + 3263726*f wrt f?
-4923390
What is the derivative of 45477910*r - 65628701?
45477910
What is the third derivative of 669755*t*x**3 - 61*t*x**2 + 8*t*x - 253*x**3 - 103829*x**2 wrt x?
4018530*t - 1518
What is the second derivative of 3*n**2*w**2 + 6*n**2*w + 2*n**2 + 16656*w**2 + 152697*w wrt w?
6*n**2 +
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{
"pile_set_name": "DM Mathematics"
}
|
2/95 - -1514/285. Which is bigger: k or 6?
6
Let i = -28 + 28. Is i >= -9/8?
True
Let c = 302/35 + -46/5. Let p = c - -6/35. Is p < -1?
False
Suppose n = -2*n - 6. Let y(g) = -2*g**2 + 1. Let h be y(1). Are h and n nonequal?
True
Let k(i) = -2*i**2 + 2*i + 2. Let d be k(2). Let n = 1 + -2. Let p be (-2 + 1 + 1)*n. Which is smaller: d or p?
d
Let o = -9.07 + 0.07. Let l = 16 + o. Is -1 less than or equal to l?
True
Let b(p) = p - 1. Let s be b(2). Let h be -2 - (-3)/9*27/(-3). Do s and h have the same value?
False
Let z = -0.56 + 0.26. Which is smaller: z or -2/5?
-2/5
Suppose -4*z = -3*z - 5*w + 10, -2*z - 4*w = -22. Suppose z*c + 0*p = -5*p - 55, -19 = -c + 5*p. Let v be ((-1)/3)/(1/c). Which is greater: 1 or v?
v
Let i = 2/145 + 5071/290. Let d = i + -109/6. Suppose -3*m + 4*m = 0. Does d = m?
False
Suppose -2*h + 4*n - 4 = 6, 0 = -2*n + 8. Suppose -g + h + 0 = 0. Let s = -2 + g. Which is bigger: s or -2/7?
s
Let p(b) = b + 10. Let t = 9 - 17. Let n be p(t). Suppose -n*c - 3 - 5 = 0. Is -3 != c?
True
Let b = -16993 - -1053531/62. Let m = b + 2/31. Which is bigger: m or 0?
0
Let z = 7 + -6. Let v be z - 2/(-2) - 0. Is 3/5 < v?
True
Suppose -5*h + 16 = 1. Which is greater: h or 4?
4
Let r be 4/14 + (-13)/21. Is r at most as big as 0.2?
True
Let f = -139/5 - -28. Which is bigger: -0.2 or f?
f
Suppose 5*r + 5 = 0, 0*j = -j - 3*r - 7. Are -2 and j non-equal?
True
Let m = 4 - 2. Suppose 6 + 9 = 5*o. Suppose -o*t = m*t. Is 0.05 not equal to t?
True
Suppose 4*x - 3*x + 6 = 0. Suppose 2 = -2*c - 8. Let m = c - x. Which is bigger: m or 2?
2
Let k be 1/(-5) + 84/(-30). Let z be (-8)/5*90/36. Are z and k non-equal?
True
Suppose 0 = -9*d + 359 - 89. Is 33 at most as big as d?
False
Let q = 1 - 1. Is q < 0.06?
True
Let x = -2 + 6. Suppose -4 = -4*t + x. Let s = -1 + 2. Do t and s have the same value?
False
Let u = -175/3 + 60. Let t be 3 + 6 + (-1 - 2). Suppose -q = q - t. Is u at most as big as q?
True
Suppose 5*w = 2*w. Let i be 2/(-2) + w + 11. Is 10 != i?
False
Suppose -8 = -4*b, 2*v - 2*b = -2*v - 8. Which is greater: v or -6/5?
v
Let v = 23 + 3. Do 26 and v have the same value?
True
Suppose 0 = w - 5, -t + w = 1 + 1. Let n be 5/(-12) + t/(-12). Is -1 > n?
False
Suppose -5*a = -29 + 109. Is 0 >= a?
True
Suppose o + 11 = 2*s, 3*s - 29 = 3*o - 5. Suppose -z = -s*z. Let u = -0.2 - -0.5. Is z >= u?
False
Let g = 10740/17 - 632. Let r = -1 + 0. Is g less than r?
False
Let h be 20/15 + 2/(-6). Which is smaller: h or -1/7?
-1/7
Let c = -0.4 - -0.48. Let o = -0.08 + c. Which is greater: o or 0.5?
0.5
Let n = -15 - -2. Let q(t) = -t**2 - 11*t + 8. Let p be q(n). Is p at least -18?
True
Suppose 2*h - 43 - 24 = g, -h + 50 = 5*g. Is 35 bigger than h?
False
Let h = 1.4 - 1.55. Let y = h + 0.15. Which is bigger: -5 or y?
y
Let r be (3 - (-66)/(-12))/((-2)/(-12)). Are -17 and r equal?
False
Let j(d) = d**3 + d**2 - d + 1. Let v be j(-2). Suppose 4*l = 5*h + 2*l + 26, -2*l - 14 = 5*h. Let z be (-8)/h*(-1)/12. Which is smaller: z or v?
v
Let f = -48 + 45. Which is greater: -0.2 or f?
-0.2
Let n(c) = -c**3 - 6*c**2 - 8*c + 8. Let p be n(-7). Let m = p + -344/3. Is m equal to -3?
False
Suppose -3*l + 1 = -5. Suppose l*b - 4 = -0. Let r = 3 + -2. Which is greater: b or r?
b
Let c = -40 + 92. Is 52 at most as big as c?
True
Let b be (2/(-3))/((-6)/9). Let n = 1 - b. Let z = -78 - -547/7. Is z equal to n?
False
Let x = 23 + 5. Is x equal to 29?
False
Let a = 320 + -50. Let f = a + -1894/7. Which is smaller: f or -1?
-1
Suppose -2*r - 3*r = 45. Which is greater: r or -12?
r
Let r = -25 - -24.3. Let d = 257/4 - 64. Which is bigger: d or r?
d
Let h be ((-3)/4)/(4/160). Let o be (6/h)/(2/(-5)). Let j = 3 + 0. Which is greater: j or o?
j
Suppose -6*x + 37 = 3*t - x, 2*t - 2*x - 46 = 0. Suppose -2*b - 27 = t. Let k = 45/2 + b. Which is smaller: -2 or k?
-2
Suppose 3*m - 7 - 2 = 0. Suppose j + 8 = -j, -g + m*j = -12. Which is bigger: -2/11 or g?
g
Let r be (-10)/(-3)*(-27)/(-18). Let w be -1 - (-2 - r/(-3)). Is -1 equal to w?
False
Suppose 5*b - 41 = -3*d, 2*d - 18 = -4*b + 2*b. Do b and 2 have different values?
True
Let j(a) = a**3 + 4*a**2 + 2. Let b be j(-4). Are 2 and b unequal?
False
Let x be 0 + (-1)/((-2)/30). Let d be (-9)/x - (-6)/10. Is 4/7 < d?
False
Let m be (-2 + 9)*18/(-7). Is -18 >= m?
True
Suppose a = -2*g - a + 18, 3*a = -g + 17. Is g at least 7?
False
Suppose 14*f = 21*f - 266. Is f at most as big as 38?
True
Let h = 552 + -8835/16. Is 0 smaller than h?
False
Let i be -80*2/258 + 4/6. Is i greater than 1?
False
Let g = -25/7 + 89/21. Suppose 2*m + 10 = 2. Let h(y) = -y**3 - 4*y**2 - 2*y - 6. Let c be h(m). Which is bigger: g or c?
c
Suppose 2*c + 2*h + 6 = 0, -c + 35 = 4*c - 5*h. Let a = c + -2. Let d be (-20)/(-8) + 2/(-1). Which is smaller: a or d?
a
Let o = 0.53 + -0.43. Is o at most as big as -45?
False
Let t = -0.04 - 6.96. Let n = 7.2 + t. Let c = 0 + 2. Are c and n equal?
False
Let b(d) = 2*d. Let s be b(1). Suppose -2*o = 3*u - o + 26, -s*o + 20 = -3*u. Let c be 19/4 - 2/u. Which is smaller: c or 4?
4
Suppose q + 5*z - z = -21, 2*z + 13 = -3*q. Let l(n) = -n + 1. Let s be l(-3). Let m be (q - s)*(-4)/10. Are 3 and m equal?
False
Let h(d) = d**2 - 20*d + 86. Let z be h(14). Suppose -s + 2 = -1. Is s less than z?
False
Let q = 15 + -19. Let f = -4 - q. Which is bigger: f or 1?
1
Suppose c = -5*o + 16, -2*c + 4*c - 5 = -o. Suppose -2*g + 7 = c. Suppose -d - 4 = -3*d. Is g greater than or equal to d?
True
Let g = -1.68 + -0.19. Let v = 0.13 - g. Is v at most as big as -4/11?
False
Let n = 0.8 - -0.2. Let h = -2.068 + 0.018. Let p = h + 0.05. Is n at least p?
True
Let n be (22/10)/((-4)/10). Let q = 53/10 + n. Let x = 6 + -7. Which is smaller: x or q?
x
Suppose -5 = -2*n + 3. Let u be 28/(-8) + 2/n. Which is greater: u or -5?
u
Suppose 5*p = 2*p + 3. Let v be (3 - 3) + (-7)/(-105). Which is smaller: p or v?
v
Suppose 5*c - 2*o = -43, -c + 3*o + 3 = 9. Is c < -4?
True
Let y = 3 - 11. Let q = 7.9 + y. Which is smaller: q or 1?
q
Let d = 0 + 6. Let z = d - 5. Which is smaller: -2 or z?
-2
Let h = -0.02 + -0.08. Let m = 0.2 + h. Is m < -1?
False
Let f be 0 + 1089/15 + 1. Let v = f + -74. Suppose 2*g = 3*g. Is g less than v?
False
Suppose -4*t + 7*t + 12 = 0. Which is greater: -5 or t?
t
Let k(j) = j**3 - 1. Suppose 4*o - 1 = -5. Let s be k(o). Let h be (-10)/(-15)*(-27)/12. Are h and s unequal?
True
Let f = -1.8 - -2. Let x = -10/223 - -18539/669. Let y = x + -28. Which is smaller: y or f?
y
Suppose -2*i = -i + 4. Let f = i + 6. Is f less than 1?
False
Let z(p) = -2*p + 4. Let x be z(-2). Which is greater: 5 or x?
x
Let j = -35 + 36.8. Which is smaller: j or 1?
1
Let u be 2*2/(-24)*2. Let f = -11/24 - u. Which is bigger: f or 1?
1
Suppose 0*t = 2*t. Suppose t*m + 6 = -2*m, 0 = 4*y - 5*m - 3. Let b be y/2*2/3. Which is smaller: b or -2/9?
b
Suppose 13 = 2*c + 2*n + n, 0 = 2*c + 5*n - 19. Suppose -5 = -u, -c*k - 5*u = -4*u - 21. Let v be 1/36 + (-2)/k. Which is smaller: v or 0?
v
Let b = 158 + -42. Let u = b + -39. Let w = u - 233/3. Does 1 = w?
False
Suppose -i - 1 = 2*j - 3, -2*i = -2*j + 14. Which is smaller: -1 or j?
-1
Let r = 14 - 8. Suppose -4*n - r = -2. Is n not equal to 1?
True
Suppose 2*r - 4*o = 4, 7*r = 2*r - 3*o + 10. Suppose -7*m = -r*m - 10. Is m at most 2?
True
Let j(g) = -g**2 - 3*g + 5. Let i = 3 - 7. Let r be j(i). Is 2 > r?
True
Let w = -24 + 24. Let d = -176/15 + 34/3. Which is smaller: w or d?
d
Let j = -7.1 - -1.1. Let n = j + 5.9. Is n at most -2?
False
Let i(s) = -s**2 - 3*s - 2. Let p be i(-3). Which is bigger: p or -7/4?
-7/4
Let k = 14 - 16. Which is bigger: -1 or k?
-1
Let r = 17/18 + -7/9. Suppose 18 = -4*j + s, 2*j - 3*j = 2*s. Let v be 0 + j - 12/(-4). Which is smaller: r or v?
v
Let t(w) = w**3 + 6*w**2 + 4*w - 3. Let j be t(-5). Suppose 3*y + 0*y = -v + 8, 0 = -j*y + 6. Does v = 0?
False
Let l be 3/((-2)/56*-6). Is 13 greater than l?
False
Let w be (-510)/12*(-2)/(-40). Is -2 less than w?
False
Let m = 1.07 + -1.17. Which is bigger: m or 85?
85
Let p(n) be the first derivative of -n**3/3 + n**2/2 - 1. Let i(y) = -y - 3. Let h be i(-3). Let l be p(h). Which is bigger: 1 or l?
1
Let z(j) = -j**3 - 6*j**2 + 8*j + 1. Let h be z(-7). Let k be 15/(-126) + h/(-21). Which is smaller: 1 or k?
k
Let q = -111 + 449/4. Let d(b) = -b - 9
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{
"pile_set_name": "DM Mathematics"
}
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1268660 = 5*t. Round w to the nearest ten thousand.
-320000
Let m = 667 - 672.308. Let h = -5.308003329 - m. What is h rounded to seven decimal places?
-0.0000033
Let i(l) = -l**2 - 38*l - 30. Let h be i(-37). Suppose -5*g = z + 81502, -2*g = -h*g + 2*z - 81496. What is g rounded to the nearest one thousand?
-16000
Let w = 0.9403 + -605.6903. What is w rounded to the nearest one hundred?
-600
Suppose 455295754 = -42*p + 12*p - 593804246. Round p to the nearest 1000000.
-35000000
Let u = -183 + 181.89. Let y = -2267 + 2265.9048. Let v = y - u. What is v rounded to three decimal places?
0.015
Let v = -104.4 + -436.6. Let k = -541.1135 - v. What is k rounded to two decimal places?
-0.11
Let d = 17772581.299364 - 17772617. Let b = -0.812 - 34.888. Let i = d - b. What is i rounded to 4 decimal places?
-0.0006
Let t = 104711 - 104710.780219. Let y = t - 0.2183. Round y to 4 decimal places.
0.0015
Suppose -23 = -8*a + 41. Let f be a/2 + 2133 + -14. Let m be (f/33)/((-2)/(-18)). What is m rounded to the nearest 100?
600
Let s = 1335382.6 + -1335380.3298878. Let h = 2.27 - s. Round h to five decimal places.
-0.00011
Suppose 4*y = -q + 66960004, -3*q - 4*y + 125037757 = -75842247. Round q to the nearest 1000000.
67000000
Let c = 11.913 + -12.7494. Round c to one dp.
-0.8
Let w = 2261195.0929943 + -2261195. Let f = 223 + -222.907. Let j = w - f. Round j to six decimal places.
-0.000006
Let p = 58 + -57.27. Let x = p - 32.73. Let f = -31.974 - x. Round f to three decimal places.
0.026
Let t = 11.39 - 9.7. Let n = t - 1.69000224. Round n to 7 decimal places.
-0.0000022
Let n = 1292133992610.869963 + -1292234636654.87. Let o = n + 100643957. Let t = o - -87. Round t to five decimal places.
-0.00004
Suppose -1 = -5*i - 6. Let t be 22204/5 + i - 11/(-55). What is t rounded to the nearest 1000?
4000
Let w = -13.9 + -92.1. Let g = w + 110.5. Let y = g + -22. What is y rounded to zero decimal places?
-18
Let q = -98.71 - 1033.99. Round q to the nearest ten.
-1130
Let w = -1.16 - -1.1155. Let g = w - 352.9555. Let d = -352.99999165 - g. What is d rounded to 6 dps?
0.000008
Let r = -143.43 + 8.23. Let s = 135.19451 + r. What is s rounded to four dps?
-0.0055
Suppose -12*v - 709 = -193. Suppose 5*i = -17 - 3, -5*g = 3*i - 1473. Let h = v - g. Round h to the nearest 100.
-300
Let i = 20.48 - 140.3. Let v = -124.811 - i. Let j = 0.091 + v. Round j to 0 dps.
-5
Let g = -490.18 + 477. Let q = 1.92 - 2.5. Let k = q - g. What is k rounded to the nearest integer?
13
Let n = -46.914966 + 2027.904376. Let b = 1981 - n. What is b rounded to three decimal places?
0.011
Let w = 4645 - 4647.0925. What is w rounded to two decimal places?
-2.09
Let z = -3621.85 - -4275. What is z rounded to zero dps?
653
Let p = -552771 + 57751. What is p rounded to the nearest one hundred thousand?
-500000
Let o = 30.4168 + -32.17. What is o rounded to 1 dp?
-1.8
Let f = 0.152623 + 769.117377. Round f to the nearest 100.
800
Let o = -38 + -89. Let t = o + 127.0000174. Round t to six dps.
0.000017
Let v(p) = -4544*p + 82. Let c be v(-13). Suppose -6*t - k + 73953 = -t, -c = -4*t + 2*k. Round t to the nearest one thousand.
15000
Let n = -1196 + 104. Let j = n - -1150.1. What is j rounded to the nearest 10?
60
Suppose 37 = -5*i + 2. Let b = i + 10. Suppose -4*d + 2*x - 181998 = 0, 0 = 5*d - b*d - 3*x + 90997. What is d rounded to the nearest 10000?
-50000
Let w = 7894785.8 - 7894703.6533596. Let m = w + -1.1467544. Let s = m + -81. What is s rounded to 5 decimal places?
-0.00011
Let g = 2182 - 2181.989311. Round g to 4 decimal places.
0.0107
Let u = -2197.52599 + 2197.3. Round u to 2 dps.
-0.23
Let y = -53.903 + -0.097. Let o = y - -55.79. Let h = o + -2.78. Round h to zero decimal places.
-1
Let t = -1.384 - -1.5. Let y = t - -4.584. Let h = y - 4.584. What is h rounded to two dps?
0.12
Let q = 130.791195 + -130.8. Round q to 3 decimal places.
-0.009
Let u = 326.0005666 - 326. Round u to 4 decimal places.
0.0006
Let b = 8.874 + -8.8739727582. Round b to six decimal places.
0.000027
Let r = 200.488004 + 0.001996. Let u = -292 - -93. Let s = r + u. What is s rounded to one decimal place?
1.5
Let f = -11.3 - -20.7. Let d = -4.82 + f. Round d to one decimal place.
4.6
Let v = -0.0411 - -0.026. Let u = -0.035964 - v. Let c = -0.021 - u. What is c rounded to five dps?
-0.00014
Suppose 0 = -19*g + 20*g - 4. Let b be (-12)/(5 - (-39)/(-6)). Let z be 7790/(-1)*2*g/b. Round z to the nearest one thousand.
-8000
Let u = 0.20061 - 2.84221. What is u rounded to zero dps?
-3
Let z be ((-4)/5)/((-6)/735). Let m(v) = z*v**2 + 3 - 181*v**2 + v - 127*v**2. Let l be m(-13). Round l to the nearest one thousand.
-36000
Let b = -7.97 - -463.97. Let i = b - 458.57. Round i to zero decimal places.
-3
Let n = 322.9 + -323.000005. Let m = 23 + -23.1. Let b = m - n. Round b to 5 dps.
0.00001
Let h = -3.9937912 - -4.08981. Let w = 0.096 - h. Round w to five decimal places.
-0.00002
Let o = 618.107 + -619. Let j = -0.89299643 - o. Round j to six decimal places.
0.000004
Suppose -6*u - 34565465 = 1726585. Let y = 22648675 + u. What is y rounded to the nearest 1000000?
17000000
Let o = 3909403 - 1416103. Round o to the nearest 10000.
2490000
Let b = -0.295104375 + 0.2951. What is b rounded to seven dps?
-0.0000044
Let c(l) = -l**2 + 0*l**2 + 4 + 19424*l**3 - 6*l + 5*l + 10704*l**3. Let w be c(-3). Let v = w - -473458. Round v to the nearest one hundred thousand.
-300000
Let f = -332223 - -851223. Suppose f = 7*l + 3*l. What is l rounded to the nearest one thousand?
52000
Let v be ((-2)/(10/(-45)))/1. Suppose -o = v*l - 6*l + 90812, -5*l = -4*o + 151342. What is l rounded to the nearest ten thousand?
-30000
Let w = -1.546401 + -0.205329. Let c = 0.00936 - w. Let d = c + -1.76. What is d rounded to 4 dps?
0.0011
Let z = 93 - 91. Suppose 14 = -z*g - 4*l, -4*g + 5*l = l - 8. Let u(x) = -20698*x**2 + 5*x + 3. Let b be u(g). Round b to the nearest one thousand.
-21000
Suppose -30*s + 27*s = -32580048. Suppose -2894238 - 2535778 = v - 4*a, 4*a = 2*v + s. What is v rounded to the nearest one hundred thousand?
-5400000
Let x = 688695 + -688630.7786. Let n = x + 47.78107. Let s = -112 + n. Round s to 4 decimal places.
0.0025
Let l(s) = -11 - 211*s**3 + 25*s**2 - 24*s - 21*s**2 - s. Let v be l(-8). Let u = 228977 - v. What is u rounded to the nearest ten thousand?
120000
Suppose 0 = 2*i + 2*l - 48, -5*i - l + 117 = l. Suppose b + 31 = -3*b - k, -5*b + 4*k - i = 0. Let j = -37 - b. What is j rounded to the nearest ten?
-30
Let r = 53220808 - 30120802. Let n be r/10 + 5 + 112/(-20). What is n rounded to the nearest 1000000?
2000000
Let n = -2240 - -2239.9506. Round n to 3 dps.
-0.049
Let x = -54.523 + -6.491. Let y = 0.014 + x. Let t = -61.00000054 - y. What is t rounded to 7 dps?
-0.0000005
Let s = 178 + -177.658. Let l = -54.77 + 54.4427. Let c = s + l. Round c to two decimal places.
0.01
Let h be -16 + (-13 - -18) - -12918011. Round h to the nearest one million.
13000000
Let n(s) = -758*s**3 - 5*s - 22. Let u(f) = -f + 20. Let m be u(15). Suppose 3*g + 112 = -m*g. Let x be n(g). Round x to the nearest 1000000.
2000000
Let z = 564063154 - 1072853154. Round z to the nearest 1000000.
-509000000
Let s(g) = 102*g + 139. Let h be s(2). What is h rounded to the nearest one thousand?
0
Suppose 36*r - 138549 = 969387. What is r rounded to the nearest 1000?
31000
Let d(h) = -12561*h**3 + 8*h**2 - 14*h - 5. Suppose -v + 62 = 57. Let j be d(v). Round j to the nearest 100000.
-1600000
Let s = -56 + 56.54. Let p = -32.46 - s. Let j = -33.000008 - p. Round j to 6 decimal places.
-0.000008
Let q = 736.1 - 736.0999992617. Round q to seven dps.
0.0000007
Let a = -543112 - -543111.9630163. Let u = a - -0.037. Round u to 6 dps.
0.000016
Let k = -4315 + 4357. Let m = 138.4468 - 96.445. Let a = m - k. What is a rounded to three decimal places?
0.002
Let d = 13.85992827 + -13.86. What is d rounded to six decimal places?
-0.000072
Let f be 3 - -1 - (2 + -6). Suppose f*b = 7*b + 245. Let c be (-300)/7*b/(-14)*120. Round c to the nearest one hundred thousand.
100000
Let o = -3062.7 - -3062.6986063. Round o to five dps.
-0.00139
Let k = 22 + -18. Let z be -37*(-6)/15 - k/(-20). Let b be z/(-3) - -8 - (4 - 1). What is b rounded to seven dps?
0
Let b = -470.79
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{
"pile_set_name": "DM Mathematics"
}
|
+ 4/6. Suppose 5*o + 4*q = 45, -j*o + 45 = 3*o + 2*q. Solve -4*r - 3*l = -0*r + o, 9 = -2*r + 3*l for r.
-3
Suppose -3*n + 4 = -2*n. Let s be (-76)/(-18) - (-8)/(-36). Let q = n - s. Solve 2*v = -4*a + 1 - 3, 5*v + 5*a + 5 = q for v.
-1
Let h = -257 + 257. Solve -4*d + 4*t = 8, h = 2*d + 3*d + 4*t - 26 for d.
2
Let v(g) = g**2 + 5*g. Let q = -22 - -19. Let i be v(q). Let z be (-6)/9 + (-172)/i. Solve -4*c = -4*j - z, 3*c - 2*c + 2*j = -5 for c.
3
Suppose 2*u + 3*u - 5 = 0. Let o be u/(2/40*4). Suppose 15*x + 11 = 41. Solve -4*q - j = 21, x*j + 2 = o*q + 12 for q.
-4
Let d be 3*((22 - 11) + -10). Suppose 0 = 3*l - b - 9, 0 = 3*l - 0*b - 2*b - 9. Let q be 1/2 - 19/(-2). Solve 2*f = 2*t + 3*f - q, -d*t - l*f = -21 for t.
3
Let c(l) = -l**3 - 7*l**2 - 8*l + 12. Let x be c(-5). Suppose x*k = 4*r - 8, 4*k + 2*r - 15 = 9. Solve 0*i - 12 = -k*j - 3*i, -2*j - 3*i = -6 for j.
3
Let b = 14 - 10. Let d(u) = -309*u - 2158. Let f be d(-7). Solve -6 = -f*m - b*j, 4*j - 3 - 19 = 3*m for m.
-2
Let y(f) = 2*f**2 + 8*f + 4. Let c be y(-4). Let s be c/((-1)/(-1)) + -4. Solve -o + 9 = o - d, -3*o - 5*d - 6 = s for o.
3
Suppose -4*m + 3*m + f - 2 = 0, -4*f = -16. Suppose 4*z = z + 5*d - 10, -4*d + 10 = -m*z. Solve 0 = -z*g - 2*r - 17 - 7, 0 = -5*g + 4*r - 12 for g.
-4
Let d(q) = -q**2 - 18*q + 4. Let t be d(-18). Suppose -t*a + 1 = r + 3, 0 = r - 5*a - 34. Suppose 10 + r = 6*m. Solve 4 = -g + k, 5*g - 3*k = -6*k - m for g.
-2
Let c(o) = o**2 + 4*o - 11. Let h be c(-6). Let j be 3*6/4 - h/2. Solve -j*n = -0*n + 8, -2*n = 3*w + 16 for w.
-4
Suppose -241 = 5*w - 2*i - 2*i, -209 = 5*w + 4*i. Let c = 48 + w. Solve -2*l - 6 = -2*f, -3*l - 2*f + c = -8 for l.
1
Let o = 7 - 17. Let x = -8 - o. Solve x*b + 0*b - 1 = -3*c, 1 = -3*c - b for c.
-1
Let c be 0*(4 - (-7)/(-2)). Suppose -x + 7 = -c*u + 2*u, 3*u + 4*x = 8. Solve -4*k + 3*g = -17, -5*k - 5*g = u + 1 for k.
2
Let n = 4 - -56. Suppose -6*t + t = -n. Let g(d) = d - 3. Let i be g(6). Solve i*x + 21 = 2*f, 2*x + x + f = -t for x.
-5
Let p be -2*(-1 + 0)/(3/6). Let o be (-2)/p + (-3)/12*-18. Solve 2*n - 2 = 4*z + 6, o*n - 5*z - 13 = 0 for n.
2
Let p be 391/115 + (2 - 14/10). Solve 0 = 3*b + 5*t - p - 7, 2*t = 8 for b.
-3
Suppose 3*j + 12 = 48. Let y = j + -12. Solve -3*p + 5*c + 8 = y, 4*p + c = -0*p + 3 for p.
1
Suppose -5 = -3*v + 2*p + 4, 3*v + p - 18 = 0. Solve -2*j = 2*o + 3*j - 15, 0 = -v*o - j + 26 for o.
5
Let s(z) = -z**2 + 9*z - 18. Let q be s(4). Solve 0 = -q*m + 5*g - 20, m + 2*g + 3 = 2 for m.
-5
Let b = 690 + -670. Solve s - 3 = 4*z + 17, -s = 4*z + b for s.
0
Let y(h) = h**2 + 3*h - 2. Let t be y(-4). Suppose -t*m = -7*m + 80. Suppose -3*d + m = 5*z, 3 = 2*d + 9. Solve -5*a = 4*n + 5, -z*a = n - 5*n + 45 for n.
5
Let k(w) = -w + 5. Suppose 5*y = -r - 20 + 4, -5*r + 10 = -5*y. Let u be k(y). Solve 5*g = -4*t + u, 3*g + 12 = 6*g for t.
-3
Suppose 8*a - 14 = 6*a. Let n be 3/(-7) + 73/a. Solve 4*m - 6*m = 4*x + 10, 5*x + n = -5*m for m.
1
Let m(f) = -2*f - 61. Let o be m(-32). Solve 0*l + 4*l = o*r + 32, -7 = 3*r + l for r.
-4
Let y(a) = -2*a**2 - 22*a - 20. Let j be y(-10). Solve -5*w + 26 = 5*m - w, -5*m - w + 14 = j for m.
2
Let h be (-4)/3*3/9*-9. Let g(v) = -v - 1. Let i be g(-4). Solve -6 = -h*l - 2*d, 0 = l + 2*l + i*d - 9 for l.
0
Let n be (-14 - -15)*(0 + 16). Suppose 0 = q - 2. Suppose q*y = -2*y + n. Solve -y*l - 3*i = 2*i + 15, 3*l + 2*i + 13 = 0 for l.
-5
Let q be (-2 + 0)*(-52)/(-8). Let j(s) = s**3 + 12*s**2 - 14*s + 6. Let v be j(q). Let i = -15 + v. Solve -5*g + 10 = -3*c + 7*c, 3*c - i*g + 8 = 0 for c.
0
Let b(l) = 5*l**2 + 2*l - 1. Let z be b(-1). Let r be (-15)/(-3) + z - 4. Solve -r*x = 3*a - 24, -a - 10 = -5*x + 12 for x.
5
Suppose -10*c - c = -77. Suppose -2*k + 3 = -c. Solve 4*v = k*a + 11, 10 = -v - 7*a + 4*a for v.
-1
Let c = -2357 + 2360. Solve -6 = 3*d + 3*s, -c*d - 14 = 2*d + s for d.
-3
Let t(x) = -x + 2. Let j be ((0/3)/(-1))/2. Let f be t(j). Solve m + 2*m - 26 = 4*p, 3*m + 4 = -f*p for p.
-5
Let s be (-9)/15 - (-986)/10. Suppose 0 = 16*t - 2*t - s. Let c be -1*2*(-5)/2. Solve 0 = 2*u + 5*q + c, 0 = -u - u - 3*q - t for u.
-5
Let p = -63 + 78. Suppose 2*x + 3*x - p = 0. Solve 0 = 4*m - 7*b + x*b - 28, m - 23 = 5*b for m.
3
Let u be (66/21 - 3) + (-1394)/(-287). Solve 0 = -u*m - 5*r + 10, -m = 7*r - 5*r - 3 for m.
1
Let o = -221 - -223. Solve -o*x + a = -8, 12 = -4*x + 8*x - a for x.
2
Suppose 0 = -6*r + 11 - 35. Let k be 1 - ((-12)/(-3))/r. Suppose 3 = -b + k*b. Solve b*m - w = 8, -m + 4*w = 15 - 3 for m.
4
Suppose 4*w - 7*w + 14 = -v, 5*v + 34 = 3*w. Solve 4*b + 10 = 2*d, w*b - 13 = -2*d - 3 for d.
5
Let w be ((-25)/(-5))/(17 + -16). Solve 5*u - 18 = u - w*s, 5*s - 20 = -5*u for u.
2
Let o = -106 + 111. Suppose 0 = v + c + 1 - 3, -1 = 2*v - 3*c. Solve -2*r = 3*r + n + o, r + v = 3*n for r.
-1
Suppose 1 - 29 = -7*b. Solve -5*d + 10 = -0*m + 5*m, -b*m = 2*d - 14 for m.
5
Let f(k) = k**3 + 8*k**2 - 20*k + 2. Let u be f(-10). Solve 3*v - 4 = 2*v - n, 11 = 5*v + u*n for v.
1
Let g(d) = 61*d + 624. Let p be g(-10). Solve -5*i + 5*z + 15 = 0, -4*i + p - 42 = 4*z for i.
-2
Let c be (3 - (-72)/(-15))/(3/(-5)). Suppose f - 11 = -4*a + 3, 3*f - 3*a + 3 = 0. Solve 2*p + 10 = -3*m, c*m + 0 = 2*p - f for p.
-2
Let d = -221 + 149. Let p be (-6)/(-39) - d/39. Solve -4*a = -6*c + p*c - 28, -3*c - 31 = -5*a for a.
5
Let f be 188/12 + 4/(-6). Suppose -a - 12 = -4*i, -3*i - f = 4*a - 8*i. Suppose a*m = m - 5. Solve m*v = -q + 7, -3 = -3*q + 2*v + v for q.
2
Let u(m) = -2*m + 2. Suppose 2*n - 27 + 3 = 0. Let t be u(n). Let k be 4/t - (-35)/11. Solve -4*o + 2*j = -12, -2*j = 4*o + k*j + 16 for o.
1
Let j(o) = 23*o**2 + 4*o - 1. Let f(g) = 23*g**2 + 5*g - 1. Let p(t) = -2*f(t) + 3*j(t). Let u be p(1). Solve 3*i - u = -3*v, 10 = 3*i - i for v.
3
Suppose 0 = -5*w + 10*w. Suppose -5*h + 2*g = -h - 24, w = 3*h + 5*g + 8. Suppose 0 = h*n - 27 + 7. Solve 3*b + 10 = 5*x, -5*x - b + n*b = -15 for x.
-1
Let i be (-16)/(-120)*10*(-3)/(-2). Solve 2*w + 12 = -5*q, -i*w + 0*w = -q for q.
-2
Suppose -26 = 5*b - 11, 2*k - 3*b = 11. Solve -4*p = -l + 4, 0*l + 2*l + k = -p for l.
0
Let c be 0 + (1 + 0)*2. Let u = -99 + 33. Let j = 68 + u. Solve j*k - 8 = c*n, 3*n - k = -4 - 2 for n.
-1
Suppose 0 = -3*w + 4*m - 1 - 4, m - 5 = 0. Suppose 0 = -a + w*x, 2*a = -4*x - x + 15. Solve -a*v = -i, 2*i + 2*v - 4*v - 8 = 0 for i.
5
Suppose 4*a - 10 = 2*f, -4*f - 2*a + 16 = -a. Suppose j = -f*s + 11, 0 = 4*j - 3*s + s - 16. Solve 3*b + 3*x = -8 + 2, j*x + 19 = 4*b for b.
1
Let l(g) = g**3 - 6*g**2 + 4*g. Let s be l(6). Suppose 4*z + s = 10*z. Let h be z - 39/(-3)*1. Solve -3 - 6 = 3*d, -4*w - h = -d for w.
-5
Let v = 22 + -11. Suppose -2*y + 40 = 5*r, r + 2*r - 24 = -2*y. Suppose 2 = -3*c + r, 2*c - 30 = -2*g. Solve 0 = 3*q + 15, 4*q = -x - g - v for x.
-4
Let u(f) = 2*f + 4. Let d be u(-4). Let q be ((-4)/2)/d*6. Let w(n) = n**2 + 9*n + 8. Let k be w(-8). Solve 0 = -4*g - q*v + 6 - k, -g - 2*v = -4 for g.
0
Let u be 60/(-45)*3/(-2). Suppose 5 = 5*w + y, -w + u*y = -0 - 1. Solve w = l - 3*x + 5, -5*l + 4*x + 2 = 0 for l.
2
Let v = 3 - 0. Suppose -5*j + 65 = v*x - 50, -5*j = -2*x - 90. Suppose j = 6*h - h. Solve -h*y + 4*c = -4, y + 4*c = -3*y - 28 for y.
-3
Let u be 2/4*0*3/36. Solve u = -3*v + 3*f - 4*f - 17, -f = 2*v + 12 for v.
-5
Suppose q - 5*r - 44 = 0, -4*q + 113 = -q + 4*r. Let j = q - 35. Solve j*o = -3*z - 4, -4*o - 4 = -0*z + 5*z for z.
0
Let z(y) = y**2 - 11*y. Let u be z(12). Suppose u = f + 7. Solve w - g = 2*g - 4, -f*w - 5*g + 40 = 0 for w.
5
Let v = -9 + 13. Let r be (-2)/v*(25/(-5) - 5). Let s(k) = -k**3 - 2*k**2 - k - 4. Let m be s(-3). Solve -2 = 3*i - m, 0 = -b - 5*i + r for b.
-5
Let j = 81 + -81. Solve 0*a - 4*d = 2*a + 4, d + 2 = j for a.
2
Let r = 14 + -6. Let s(v) = 3*v - 19. Let n be s(r). Solve 5*l - 3*c + 15 = 0, -n*c + 25 = 4*l - 2*l for l.
0
Suppose 4*j + 28 = 3*b, -2*b - 2*b + 33 = -j. Suppose 40 = -3*a + b*a. Suppose x + a = 14. Solve x*k = 3*k - 3, 19 = -3*i - 4*k for i.
-5
Let j(u) be the first derivative of -2*u**3/3 - u**2 - u - 5. Let p be j(-3). Let b be ((-38)/8)/(p/52). Solve c = 2*s + 4, -5*s - b = c + c for c.
-2
Let y = -709 - -712. Solve -3*k - y*s + 8 = 2*s, 3*k = 4*s - 28 for k.
-4
Let g(p) = -12*p + 14. Let d be g(-3). Let l = d + -48. Let y(j) = -j + 3. Let a be y(-6). Solve n -
|
{
"pile_set_name": "DM Mathematics"
}
|
*(131/8)
Simplify ((y*y**1)/y)/(y**(-10)*y)*(y/(y/y**7))/(y*y**(-6)/y) assuming y is positive.
y**23
Simplify (v/v**15*v*v)/v**0 assuming v is positive.
v**(-12)
Simplify ((o**(3/7)*o)/o*o)/((o/(((o/(o*o/(o/o**(-14/5))))/o*o)/o))/o) assuming o is positive.
o**(113/35)
Simplify (z**(1/2)/(z/(z**3*z)*z))/(z/z**(-4)*z**0*z) assuming z is positive.
z**(-7/2)
Simplify ((g**(-1/11)*g)/g*g**(2/7)*g)**(-1/9) assuming g is positive.
g**(-92/693)
Simplify (n*n**(-4))/n*n*n*n**(1/4)*n**(-1/3)/n**(-1/5) assuming n is positive.
n**(-113/60)
Simplify z**(2/5)/(z**(-3)*z)*((z**4/z)/z)/(z/(z*(z/(z/(z*(z*z/z**(-3))/z)))/z)) assuming z is positive.
z**(42/5)
Simplify ((y**(-2/3))**38)**(-16/7) assuming y is positive.
y**(1216/21)
Simplify ((b/b**(-2))/b*b*b)**(-1/11)*((b*b**(-1)*b)/b)**(2/149) assuming b is positive.
b**(-4/11)
Simplify a**(1/2)*a**(2/3)*a*(a/(a/(a/((a*a*a**0)/a))*a))**15 assuming a is positive.
a**(-77/6)
Simplify s**(-5/4)/(s**34*s) assuming s is positive.
s**(-145/4)
Simplify (w/w**(-2/3)*w/(w*w*w/(w*w**(-10))))**49 assuming w is positive.
w**(-1372/3)
Simplify z**(2/19)/(z*(z/((z*z**(-1/3)*z)/z))/z)*(z**(-2/5))**(-3/11) assuming z is positive.
z**(-373/3135)
Simplify (q**0)**(-1/67)*q**2*q**5 assuming q is positive.
q**7
Simplify (b**(4/3)*b)/(b*b/(b*b**(-4)))*b*b**(2/15)/b*b*b*(b/(b*(b*b**0)/b))/b assuming b is positive.
b**(-23/15)
Simplify (r*r/((r/((r*r**(2/9)/r*r*r)/r))/r)*r)**(1/20)/(r**(1/10)*r*r*r*r**(-9)) assuming r is positive.
r**(55/9)
Simplify (p/p**34)/(p/(((p*p**(-23)*p)/p)/p)) assuming p is positive.
p**(-57)
Simplify (y*y*y**(1/10)*y*y*y*y*y*((y*y**10)/y)/y)/(y*y**(1/4))**(-42) assuming y is positive.
y**(343/5)
Simplify (h**(-20)*h)/(h*h*h**(-2/59)/h) assuming h is positive.
h**(-1178/59)
Simplify (n**(-7/5))**(-8) assuming n is positive.
n**(56/5)
Simplify b**1*b*b*b*b**(-38) assuming b is positive.
b**(-34)
Simplify (d**6)**(1/2) assuming d is positive.
d**3
Simplify ((y*y**5*y)/(y/(y*y*(y*y/y**19)/y*y*y)*y))**(-31) assuming y is positive.
y**279
Simplify (g**1)**(-28)*g**(2/7)/g**(-1/2) assuming g is positive.
g**(-381/14)
Simplify u**(-6/7)/u*u*u/u**(1/2) assuming u is positive.
u**(-5/14)
Simplify ((f**1)**(2/153))**49 assuming f is positive.
f**(98/153)
Simplify (f*f**(5/2)*f*f/((f/(f*f**(-4)*f))/f))/(f**(-4)/(f**(2/13)*f*f)) assuming f is positive.
f**(251/26)
Simplify g**26/(g*g/(g**18/g)) assuming g is positive.
g**41
Simplify ((o**16*o)/o)/o**20 assuming o is positive.
o**(-4)
Simplify (h**(-1/4))**7 assuming h is positive.
h**(-7/4)
Simplify (c**(-3)*c/c**4)/(c*c*c*c*c**(-1)*c*c)**(-17/3) assuming c is positive.
c**(67/3)
Simplify (k*k**(-6)/k*k*k*k**(-1)*k)**50 assuming k is positive.
k**(-200)
Simplify (a*a/(a/(a/a**(-7)))*a)/((a*a**(1/6))/a)*a**(1/4)*a*a**7 assuming a is positive.
a**(217/12)
Simplify b**(3/7)*b**(-21)/b assuming b is positive.
b**(-151/7)
Simplify (r**4*r**(-1/2)/r)/(r*r**(-1))**(-13) assuming r is positive.
r**(5/2)
Simplify ((x*x**(1/54))/x)/(x**(-17)/x) assuming x is positive.
x**(973/54)
Simplify ((t/t**(-3/7))/(t*t/((t*t**(3/8)*t)/t)))**(-3) assuming t is positive.
t**(-135/56)
Simplify h**(-22/3)*h**(-15)/h assuming h is positive.
h**(-70/3)
Simplify (k/(k/(k*k**7))*k)/(k**(-6/7)/k) assuming k is positive.
k**(76/7)
Simplify (((j/j**(-18)*j)/j)/j*j/j**(1/9))**16 assuming j is positive.
j**(2720/9)
Simplify ((m**(-15/7)/m)/m*m)**(2/79) assuming m is positive.
m**(-44/553)
Simplify h/(h**(-6/7)*h)*h*h/(h*h**(-19/3)) assuming h is positive.
h**(172/21)
Simplify ((j/j**(1/4))**(-10/3))**(3/7) assuming j is positive.
j**(-15/14)
Simplify (n*n**6*n*n*n**(1/3)*n)/(n**0*n*n*n**(-6)*n) assuming n is positive.
n**(40/3)
Simplify b*b/(b**(-21)*b)*b/(b*(b**(-7/5)*b)/b) assuming b is positive.
b**(117/5)
Simplify ((c/(c*c/(c**(2/3)/c))*c)/((c/((c/(c/(c*c**(-3)*c)))/c*c))/c*c))/((c*c/c**3)/c*(c/c**(-1/2))/c) assuming c is positive.
c**(-5/6)
Simplify (((g/g**3)/g)/g)/(g/g**1) assuming g is positive.
g**(-4)
Simplify ((f/((f/(f**(-2/7)/f*f))/f))/(f/((f/(f*(f*f**(-11))/f))/f)))/(f**(4/7)*f*f*f**(3/10)/f*f) assuming f is positive.
f**(479/70)
Simplify (t/((t*t**(-23)*t)/t*t))/t**29 assuming t is positive.
t**(-7)
Simplify (z/z**(-1/3))/(z/(z**(-3)/z)) assuming z is positive.
z**(-11/3)
Simplify ((h*h**6*h*h)/(h*h**(-6/7)))/((h/h**(4/7))/((h/(h*h/(h*h**(-2/3))))/h)) assuming h is positive.
h**(142/21)
Simplify r*r**(-1)*r*(r**(1/2)*r)/r*r*r*r/(r/(r/r**2)*r)*r*r**7/r*r assuming r is positive.
r**(19/2)
Simplify (v*v/(v**(-3)*v)*v*v*v)/v**(2/11)*v**(2/17)/v**(3/7) assuming v is positive.
v**(8518/1309)
Simplify (r**1)**17/((r*r**(5/3))/r*((r**(2/17)/r)/r)/r*r*r*r) assuming r is positive.
r**(776/51)
Simplify (n*n**0/n*n)**(-41)*n*n/(n/(n/n**(3/4))*n*n)*n*n**(-1/4)/n*n assuming n is positive.
n**(-41)
Simplify (s**0/s)**(5/9)*(s**(2/11))**(-11/6) assuming s is positive.
s**(-8/9)
Simplify z**5*z*z*z**(-2/15)*z**(-1)*z**6 assuming z is positive.
z**(178/15)
Simplify ((m**(-4)*m)/m)**45 assuming m is positive.
m**(-180)
Simplify ((i*(i*i/i**17)/i)/i*i)/(i**(3/5)/i) assuming i is positive.
i**(-73/5)
Simplify (t**0)**4*((t/t**(2/3))/t)/(t**(-6)*t) assuming t is positive.
t**(13/3)
Simplify k**(-3/2)*(k*k**(-6))/k*(k**2)**(3/4) assuming k is positive.
k**(-6)
Simplify b*b**(2/5)*(b/(b*b**(-8)*b*b)*b)/b*b**0/(b/b**(-2/11)) assuming b is positive.
b**(342/55)
Simplify (m**(-2/19))**10 assuming m is positive.
m**(-20/19)
Simplify (p/p**5*p/p**(-1/6))/((p/p**(-1/7))/(p*(p/(p**(1/7)/p)*p)/p)) assuming p is positive.
p**(-47/42)
Simplify ((o**(5/3)*o)/o)**(-42) assuming o is positive.
o**(-70)
Simplify ((l**(-1/5))**(-2/37))**45 assuming l is positive.
l**(18/37)
Simplify h**(-3/8)*h**(-7) assuming h is positive.
h**(-59/8)
Simplify k**(2/13)*k/k**5*(k*k**(-1/3)*k*k)/((k**2*k)/k) assuming k is positive.
k**(-124/39)
Simplify q*q**6*q*q**4*(q/(q/q**(-1))*q)**(5/7) assuming q is positive.
q**12
Simplify ((x/(((x/x**(-4))/x)/x))/(x**0/x))/(x**(1/3)*x*x*x**(1/5)) assuming x is positive.
x**(-53/15)
Simplify ((o*o**(-1/4))/o*o)**(-9/4)/(o**(2/15)/(o**(-3/2)*o)) assuming o is positive.
o**(-557/240)
Simplify (l*(((l**4/l*l)/l*l)/l*l)/l)/(l*(l/(l/((l*l**(2/5))/l)))/l)*(l*l/(l*l/l**(-1/3)*l*l))**(24/11) assuming l is positive.
l**(-82/55)
Simplify y**(11/5)/y**9 assuming y is positive.
y**(-34/5)
Simplify m**7/(m*m**(3/7)) assuming m is positive.
m**(39/7)
Simplify j**(-2/19)*j**7*(j**0)**(5/4) assuming j is positive.
j**(131/19)
Simplify (w/w**(-1/32))/(w/w**(-4/11)) assuming w is positive.
w**(-117/352)
Simplify j**46*j/j**(-33)*j assuming j is positive.
j**81
Simplify (((w/w**18)/w*w)/w)/(((w**(4/15)/w*w*w)/w)/w) assuming w is positive.
w**(-259/15)
Simplify ((q/q**(1/10))/q)**(-13) assuming q is positive.
q**(13/10)
Simplify (j/(j**(1/70)/j)*j)/j**15 assuming j is positive.
j**(-841/70)
Simplify n**(-1/3)/n*n**(1/5)*n**(-5)*n*n/(n**(-1/4)*n)*n assuming n is positive.
n**(-233/60)
Simplify (b**(-28)*b)**(8/5) assuming b is positive.
b**(-216/5)
Simplify (c*c/(c/c**(-2/5)*c)*c)**29*((c/c**(4/5))/c*c)/(c/(c*c/(c*c**(-2/19)))) assuming c is positive.
c**(1682/95)
Simplify (v*(v/v**(-4/3))/v*v*v**(-2/5)*v)**(25/2) assuming v is positive.
v**(295/6)
Simplify ((t/(t/t**(-3)))**(-1/34))**44 assuming t is positive.
t**(66/17)
Simplify (h/h**(4/5)*h/(h/h**(-3/2))*h)**10 assuming h is positive.
h**(-3)
Simplify (l**(-11)*l*l**10)**(24/5) assuming l is positive.
1
Simplify (c*c**(-3/4)/c)/(c/c**(21/5)) assuming c is positive.
c**(49/20)
Simplify (h**(2/31)*h)**(-47) assuming h is positive.
h**(-1551/31)
Simplify ((y**(2/3))**34)**(-2/3) assuming y is positive.
y**(-136/9)
Simplify (((o/(o*(o*o/(o*o**15)*o)/o))/o)/o)/(o*o*o**(-1/6)*o) assuming o is positive.
o**(55/6)
Simplify (m*((m*m**(-4/7))/m)/m)/(m*m**(-1/6))*(m**(-2))**42 assuming m is positive.
m**(-3587/42)
Simplify ((q*q**1*q)/q**(-2/7))/((q/q**(2/3))/(q**(2/5)*q)) assuming q is positive.
q**(457/105)
Simplify (w/w**(2/9))/w**(-4)*(w**(2/7))**(11/3) assuming w is positive.
w**(367/63)
Simplify (t**(-2/3))**(-15/2)/(t*t*t*t**(-3/2)*((t**(-4)*t)/t)/t) assuming t is positive.
t**(17/2)
Simplify (g**(5/4)*g)/(g/(g*g**(5/6))) assuming g is positive.
g**(37/12)
Simplify (h*h**(1/2)*h)**7*h**(-1/2)/(h/(h**(5/2)*h)*h) assuming h is positive.
h**(37/2)
Simplify (q*q**(2/13)/q)/
|
{
"pile_set_name": "DM Mathematics"
}
|
of 2*g**3*o**2 - g*o**2 + 4*g - 7*o**2 + 5*o wrt g?
6*g**2*o**2 - o**2 + 4
Find the second derivative of 4460*w**2 + 2430*w.
8920
What is the third derivative of -10*l**5 + 10*l**3 + 1003*l**2 wrt l?
-600*l**2 + 60
What is the derivative of -571*r**3 + 722 wrt r?
-1713*r**2
What is the second derivative of -281*i**5 - 3*i + 39?
-5620*i**3
What is the second derivative of -h**3*w**2 + 5*h**3*w - h**2*w**2 + 190*h*w**2 + 107*h*w wrt w?
-2*h**3 - 2*h**2 + 380*h
Find the second derivative of 2*d**2*n**2*o*u - 70*d**2*n**2*u - 2*d**2*n*o*u + 2*d**2 + 2*d*n - 17*d*o*u wrt n.
4*d**2*o*u - 140*d**2*u
What is the second derivative of -2880*h**3*t**2 + 58*h*t**2 + 13*t wrt h?
-17280*h*t**2
Find the third derivative of 58*y**5 + 419*y**2 wrt y.
3480*y**2
What is the derivative of -2*b*c*m + 4358*b*c - 901*b*m**2 + c*m**2 wrt m?
-2*b*c - 1802*b*m + 2*c*m
Find the second derivative of 1526*i**3*v**2 + 37*i**3*v - 6*i**2*v + i*v**2 + 2*v**2 - 2*v wrt v.
3052*i**3 + 2*i + 4
What is the second derivative of 170*w*x**5 - 4*w*x**3 + 168*w - 2*x wrt x?
3400*w*x**3 - 24*w*x
What is the second derivative of 22*h**4*q + 14*h**3*q - 68*h*q - 2*h wrt h?
264*h**2*q + 84*h*q
Find the second derivative of -4655*f**4 - 2*f**2 - 474*f.
-55860*f**2 - 4
Find the second derivative of 4*d**2*q**3 + 2*d**2*q**2 + d**2*q + 23*d**2 - 3*q**5 + 2*q wrt q.
24*d**2*q + 4*d**2 - 60*q**3
Differentiate -3*c**3*w - 4*c**3 - 36*c**2*l*w - 2*c**2*l - 11*c*l wrt w.
-3*c**3 - 36*c**2*l
What is the derivative of 4675*l - 8846 wrt l?
4675
What is the second derivative of -309*g**2*r**3 - 2*g**2*r + 74*g**2 wrt r?
-1854*g**2*r
What is the second derivative of -2*q**5 - 743*q**4 + 997*q?
-40*q**3 - 8916*q**2
Find the second derivative of -9*z**5 - 12*z**4 - 197*z wrt z.
-180*z**3 - 144*z**2
What is the second derivative of 2*t**2*x**2 + 2*t**2 + 71*t*x**4 - 270*t*x - 2*x**4 wrt x?
4*t**2 + 852*t*x**2 - 24*x**2
What is the derivative of -31*k**3 - 20*k**2 - 3614?
-93*k**2 - 40*k
Differentiate -z**3 + 6*z**2 - 15*z - 5049 with respect to z.
-3*z**2 + 12*z - 15
What is the third derivative of -819*g**4*k**2 - 3*g**4*k - 2*g**2*k - 3*g - 83*k**2 wrt g?
-19656*g*k**2 - 72*g*k
Differentiate -22*n*o**3*u + 1167*n*u - 20*o**4*u + 2*o*u - 2*u with respect to o.
-66*n*o**2*u - 80*o**3*u + 2*u
What is the third derivative of 689*s**4 + 773*s**2 - 1?
16536*s
Find the second derivative of 23027*g**3 - 11709*g.
138162*g
What is the third derivative of 468*x**6 + 261*x**2?
56160*x**3
What is the first derivative of 30*t**2 - 1479?
60*t
What is the third derivative of 102*a**4 - a**3 - 171*a**2?
2448*a - 6
What is the third derivative of 15468*s**4 - s**2 + 170*s - 11 wrt s?
371232*s
Differentiate 408*f - 1605 wrt f.
408
Find the second derivative of -397*u**5 + 116*u wrt u.
-7940*u**3
What is the third derivative of -1572*f**4*m*q**3 + 2*f**3*m*q**3 + f**2*m + f*q**3 + f + 2*m*q**3 + 47*m*q**2 wrt f?
-37728*f*m*q**3 + 12*m*q**3
What is the derivative of -210*w + 274?
-210
What is the third derivative of 401*g**3 + 11*g**2 + 5*g wrt g?
2406
Find the second derivative of 4378*c**2*q**3 + 1253*c*q**3 + 2*c*q**2 wrt c.
8756*q**3
What is the second derivative of 3*t**3*w**2*y**3 - 7*t**3*w**2*y + 2*t**3*w*y**3 - 5*t*y**3 - 22*w*y**2 wrt w?
6*t**3*y**3 - 14*t**3*y
What is the derivative of -7035*m**3*q - 15*m**3 + m**2 - 69*m + q**3 wrt q?
-7035*m**3 + 3*q**2
What is the derivative of -184*i**2*p*s*t + 2*i**2*p*s - 6*i**2*p - 2*i*p*t - p*s*t + 10*s wrt t?
-184*i**2*p*s - 2*i*p - p*s
Find the third derivative of 760*r**6 - 744*r**2.
91200*r**3
What is the second derivative of 34*t**2*w**2*x**2 - t**2*x**2 - 2*t**2*x + 2*w**2 - 8*w*x wrt x?
68*t**2*w**2 - 2*t**2
What is the third derivative of -1051*i**3 - 405*i**2 wrt i?
-6306
Find the second derivative of 34*p**2 - 124*p wrt p.
68
What is the second derivative of 7155*a**2*r**3 + 2*a**2*r**2 + 8*a*r**3 + 771*a wrt a?
14310*r**3 + 4*r**2
What is the derivative of -1039*t + 392?
-1039
Find the third derivative of -f*l**2*t + f*l*t**2 + 36*f*p*t**3 - 25*l**2*p*t**3 - 8*l**2*t**2 - 8*l*p*t**2 - l*p wrt t.
216*f*p - 150*l**2*p
Differentiate -98*b**3*c + 571*b**3 + 3*b**2*c**3 wrt c.
-98*b**3 + 9*b**2*c**2
Find the second derivative of -2*c**2*k**2*v**3 + 23*c**2*k**2*v**2 - 145*c*k**2 + 2*c*k*v**3 wrt c.
-4*k**2*v**3 + 46*k**2*v**2
Differentiate 13178*x**2 + 11216 with respect to x.
26356*x
What is the third derivative of -163*a**2*z**6 - 2*a**2*z**4 - 3*a**2*z**2 - 21*a**2 + 5*z**2 wrt z?
-19560*a**2*z**3 - 48*a**2*z
What is the derivative of 152*w**3 + 109?
456*w**2
Find the third derivative of -8978*s**5 - 465*s**2 - 7*s wrt s.
-538680*s**2
Find the second derivative of 85*o**3 + 2*o**2 + 138*o.
510*o + 4
What is the second derivative of -2*b**2*j**2 - b**2*j*q - 29*b**2*q + 2*b*q + 166*j**2*q + 8*j*q wrt j?
-4*b**2 + 332*q
Differentiate -3*o**2*u**2 - o**2*u + 537*o**2 + 7*u**3 with respect to u.
-6*o**2*u - o**2 + 21*u**2
What is the second derivative of 237*b**2 - 13*b - 11 wrt b?
474
Differentiate -212*w**3 - w**2*y**3 - 34*y**3 wrt w.
-636*w**2 - 2*w*y**3
Find the third derivative of -a**2*d**4 - a**2*d**2 - 338*a**2*d + 3*d**4 - 100*d**3 - d**2 wrt d.
-24*a**2*d + 72*d - 600
What is the second derivative of -16635*z**3 - 8601*z + 1 wrt z?
-99810*z
Differentiate -2*c**2*p - 2*c*p**2 - 90*c*w - 68*p**2*w wrt c.
-4*c*p - 2*p**2 - 90*w
Differentiate -115*k**2*m**2 - 2*k*m**2 - 18*m**2 + 6 with respect to k.
-230*k*m**2 - 2*m**2
Find the third derivative of -224*i**5 - 160*i**2 - 11*i + 1.
-13440*i**2
What is the second derivative of -8*w**5 + w**4 - 76*w - 2?
-160*w**3 + 12*w**2
Find the third derivative of -22*l**5 - 3*l**4 + 25*l**3 + 2*l**2 + 3*l + 2139 wrt l.
-1320*l**2 - 72*l + 150
What is the third derivative of 20*a**5*v + 5*a**5 + a**4 - 3*a**2*v + 2*a*v + 76*a wrt a?
1200*a**2*v + 300*a**2 + 24*a
Find the second derivative of b**2*y**2 + 2341*b**2*y + 4702*b*y**2 wrt b.
2*y**2 + 4682*y
Find the second derivative of -a**2*l + 62*a**2 + 26*a*l - 61*l wrt a.
-2*l + 124
Find the second derivative of 70*a**4 - 13*a**2 + 7974*a wrt a.
840*a**2 - 26
What is the third derivative of 24*l**6 - l**5 + 6*l**3 - l**2 - 2*l - 972 wrt l?
2880*l**3 - 60*l**2 + 36
What is the third derivative of -2*s**5 + 143*s**4 - s**3 + 1979*s**2?
-120*s**2 + 3432*s - 6
What is the second derivative of -i**4*w + 144*i**2 + i + 645*w wrt i?
-12*i**2*w + 288
What is the second derivative of 70*f**2*l**2 - 3*f**2*l + 18*f**2 wrt l?
140*f**2
Find the second derivative of -2*b**3*x - 3*b**3 - b**2*o - 6*b**2*x - 37*b*o*x + b + 15*x wrt b.
-12*b*x - 18*b - 2*o - 12*x
Find the third derivative of -476*b*u**3 - 2*b*u + 63*b + u**2 wrt u.
-2856*b
Find the third derivative of -333*p**3 + 15*p**2 - 10*p wrt p.
-1998
Differentiate -632*n + 121 wrt n.
-632
What is the third derivative of 3732*d**3 - 4209*d**2?
22392
Differentiate 390*u**2*w*x*z + 2*u**2*x**2 + 3*u*w*x**2*z - 32*u*w*x**2 + u*w*x - 2*w*x**2 + x**2 with respect to z.
390*u**2*w*x + 3*u*w*x**2
Find the third derivative of -3*g**3*j*q + 2*g**3*j - 36*g**3 - 8*g**2*j*q + g*q wrt g.
-18*j*q + 12*j - 216
Find the first derivative of 190*c**2*g*q - 22*c**2*q*x**2 + c**2*q*x + 17*c**2 - c*g*x**2 - 2*g*q*x**2 + q wrt g.
190*c**2*q - c*x**2 - 2*q*x**2
What is the third derivative of -143*w**4 - 2*w**3 - 165*w**2?
-3432*w - 12
Find the second derivative of 10*l**4 - 59*l**3 - 1084*l wrt l.
120*l**2 - 354*l
Find the third derivative of 289*h**3*m**3*q - h**3*m**3 - 2*h**3*m*q - 3*h**2*m - 19*h*m**3 - 6*h*m*q wrt h.
1734*m**3*q - 6*m**3 - 12*m*q
What is the third derivative of 11321*v**6 - 11708*v**2 wrt v?
1358520*v**3
Find the third derivative of -87*h**6 + h**3*s**2 - 17*h**2*s**2 - 8*h*s**2 wrt h.
-10440*h**3 + 6*s**2
What is the first derivative of 484*j**3 + 3*j - 3425 wrt j?
1452*j**2 + 3
Differentiate -146*b*c + b - 235*c wrt b.
-146*c + 1
Find the first derivative of -7*f**2 - 23*f + 424.
-14*f - 23
Find the second derivative of 7*c**3*v**3 + 5*c**3*v - 5*c**2*v**3 + 2*c*v**2 + 112*v**3 wrt c.
42*c*v**3 + 30*c*v - 10*v**3
What is the derivative of -51*a**2 + 6*a - 1505 wrt a?
-102*a + 6
What is the second derivative of -11330*s**5 - 5864*s?
-226600*s**3
Differentiate -412*t - 606 wrt t.
-412
What is the third derivative of 178*d**3 -
|
{
"pile_set_name": "DM Mathematics"
}
|
three letters picked without replacement from {w: 3, n: 1, g: 5, r: 1, z: 1}.
1/55
Two letters picked without replacement from ddsedsssdseddds. Give prob of picking 2 s.
1/7
Calculate prob of picking 2 s when two letters picked without replacement from sssssss.
1
Calculate prob of picking 1 g and 1 n when two letters picked without replacement from {x: 1, d: 2, n: 1, u: 2, c: 1, g: 2}.
1/18
Two letters picked without replacement from {j: 9, f: 2, o: 4, w: 4}. Give prob of picking 2 f.
1/171
Two letters picked without replacement from {e: 1, o: 1, d: 2}. What is prob of picking 1 e and 1 o?
1/6
Two letters picked without replacement from {i: 2, s: 5, c: 6}. Give prob of picking 1 i and 1 c.
2/13
What is prob of picking 1 m and 1 u when two letters picked without replacement from {y: 4, m: 11, q: 1, u: 1, o: 1, s: 1}?
11/171
Calculate prob of picking 1 d, 1 u, and 2 k when four letters picked without replacement from uykkvyd.
1/35
Four letters picked without replacement from {t: 7, v: 2}. What is prob of picking 2 t and 2 v?
1/6
What is prob of picking 2 i, 1 q, and 1 r when four letters picked without replacement from illqlrrirliilrlqlr?
1/51
Four letters picked without replacement from sssssspssspsspssps. What is prob of picking 4 s?
1001/3060
What is prob of picking 3 x when three letters picked without replacement from xxxxxxxxx?
1
Two letters picked without replacement from zbdudddzd. Give prob of picking 1 z and 1 u.
1/18
Four letters picked without replacement from aiiiaiai. Give prob of picking 1 i and 3 a.
1/14
Two letters picked without replacement from {q: 9}. What is prob of picking 2 q?
1
Two letters picked without replacement from jnggagng. Give prob of picking 1 n and 1 a.
1/14
What is prob of picking 1 i and 2 p when three letters picked without replacement from pptippppp?
1/4
What is prob of picking 2 t when two letters picked without replacement from jtttttjjtt?
7/15
Calculate prob of picking 1 l and 1 d when two letters picked without replacement from glblbsdllg.
4/45
What is prob of picking 2 l and 1 y when three letters picked without replacement from {w: 6, y: 5, l: 2}?
5/286
Calculate prob of picking 1 c and 1 p when two letters picked without replacement from iwpic.
1/10
What is prob of picking 1 o, 1 u, and 2 b when four letters picked without replacement from {u: 3, o: 3, p: 4, b: 4}?
54/1001
Three letters picked without replacement from zzjjzjjzjj. What is prob of picking 3 z?
1/30
What is prob of picking 1 j and 2 l when three letters picked without replacement from ljlljlll?
15/28
Three letters picked without replacement from usttmtxsxqtx. What is prob of picking 1 x, 1 q, and 1 u?
3/220
Calculate prob of picking 1 g and 2 m when three letters picked without replacement from jcgggmmmgm.
1/5
Four letters picked without replacement from {v: 15, c: 5}. Give prob of picking 1 v and 3 c.
10/323
Calculate prob of picking 1 r and 1 d when two letters picked without replacement from {h: 1, r: 1, d: 1}.
1/3
Calculate prob of picking 1 x and 3 v when four letters picked without replacement from {v: 6, x: 6}.
8/33
What is prob of picking 3 z and 1 e when four letters picked without replacement from {z: 8, e: 5}?
56/143
Calculate prob of picking 2 u when two letters picked without replacement from {r: 2, u: 9, z: 7}.
4/17
Three letters picked without replacement from qssqsswwqwswsqqsws. What is prob of picking 3 w?
5/408
Four letters picked without replacement from {z: 3, n: 2}. What is prob of picking 1 n and 3 z?
2/5
Three letters picked without replacement from {z: 1, a: 4, c: 1, m: 3, k: 2, x: 1}. Give prob of picking 1 z, 1 c, and 1 a.
1/55
Calculate prob of picking 4 x when four letters picked without replacement from vxxxxvvxxvvx.
7/99
Calculate prob of picking 3 w and 1 h when four letters picked without replacement from {q: 1, b: 3, y: 4, h: 3, w: 4, d: 2}.
3/595
What is prob of picking 1 q and 2 k when three letters picked without replacement from jqkjdskdqkdkasa?
12/455
Four letters picked without replacement from qkkkkqkqkqkbbqqqkqk. What is prob of picking 1 b, 1 q, and 2 k?
48/323
Calculate prob of picking 1 d, 1 r, and 2 b when four letters picked without replacement from {d: 4, r: 3, b: 6, p: 1, t: 1}.
12/91
Three letters picked without replacement from {m: 1, b: 1, n: 7, r: 3}. What is prob of picking 1 m and 2 n?
21/220
What is prob of picking 1 s and 3 k when four letters picked without replacement from kskskkukkskuu?
21/143
What is prob of picking 1 l and 1 n when two letters picked without replacement from {s: 2, n: 7, c: 4, l: 1, m: 5, f: 1}?
7/190
Four letters picked without replacement from {t: 6, k: 2}. What is prob of picking 3 t and 1 k?
4/7
Three letters picked without replacement from {c: 5, r: 2, u: 1, z: 2, l: 1, v: 2}. Give prob of picking 1 l, 1 z, and 1 u.
1/143
What is prob of picking 1 a and 1 l when two letters picked without replacement from {a: 1, z: 1, l: 1}?
1/3
Four letters picked without replacement from {c: 4, n: 2}. Give prob of picking 2 c and 2 n.
2/5
Calculate prob of picking 1 h, 1 d, and 2 y when four letters picked without replacement from dhdddjrdddydrysdrss.
3/1292
What is prob of picking 2 a when two letters picked without replacement from sairasaaarrrariraa?
28/153
Three letters picked without replacement from jhhhjhhh. Give prob of picking 2 j and 1 h.
3/28
What is prob of picking 2 i when two letters picked without replacement from {e: 2, i: 2, q: 3, h: 2}?
1/36
What is prob of picking 3 s when three letters picked without replacement from ososssososs?
7/33
Calculate prob of picking 1 l and 1 r when two letters picked without replacement from prprrprrpurlrpupp.
7/136
Calculate prob of picking 1 x and 1 c when two letters picked without replacement from exxxocoxxxoxoocooo.
14/153
Four letters picked without replacement from qqqqqqq. What is prob of picking 4 q?
1
Calculate prob of picking 1 k and 1 h when two letters picked without replacement from {y: 1, h: 1, z: 1, j: 1, k: 1}.
1/10
What is prob of picking 4 p when four letters picked without replacement from xxxxxxpxpxxxxpxppx?
1/612
Two letters picked without replacement from bbbbbbbbbbbbblbbbbb. What is prob of picking 1 b and 1 l?
2/19
Calculate prob of picking 1 i and 1 b when two letters picked without replacement from {b: 1, i: 2, p: 1, h: 1}.
1/5
Four letters picked without replacement from ukuuukukkkkuk. Give prob of picking 2 u and 2 k.
63/143
Calculate prob of picking 2 z, 1 a, and 1 f when four letters picked without replacement from ayvfxzfyz.
1/63
Three letters picked without replacement from {v: 5, z: 1, w: 4, m: 5, q: 4}. What is prob of picking 1 w and 2 q?
8/323
What is prob of picking 1 l, 2 p, and 1 a when four letters picked without replacement from aplpprrpp?
5/63
Three letters picked without replacement from {d: 5}. Give prob of picking 3 d.
1
Four letters picked without replacement from {w: 3, k: 4}. What is prob of picking 3 k and 1 w?
12/35
Four letters picked without replacement from {s: 1, b: 3, o: 2, c: 1, i: 8, x: 1}. Give prob of picking 3 b and 1 s.
1/1820
Three letters picked without replacement from {z: 2, h: 6}. What is prob of picking 1 z and 2 h?
15/28
Three letters picked without replacement from {f: 1, l: 3, k: 1, r: 4, h: 5}. What is prob of picking 1 r, 1 k, and 1 h?
5/91
Four letters picked without replacement from {b: 4, s: 9, d: 1}. What is prob of picking 2 b and 2 s?
216/1001
Three letters picked without replacement from {q: 9, l: 4, h: 6}. What is prob of picking 1 h and 2 q?
72/323
Calculate prob of picking 1 w and 1 b when two letters picked without replacement from cbbbcbbccwfbbc.
1/13
Calculate prob of picking 1 g and 1 t when two letters picked without replacement from gttwjgjtjgtttqwjjtj.
7/57
Four letters picked without replacement from {v: 3, n: 3, f: 4, o: 6, s: 4}. What is prob of picking 2 f and 2 s?
12/1615
Two letters picked without replacement from ocfxcwfrxcoox. Give prob of picking 1 c and 1 r.
1/26
What is prob of picking 1 s and 2 z when three letters picked without replacement from zszzzzyyzz?
7/40
What is prob of picking 2 x and 1 g when three letters picked without replacement from ghhcxxggxxxh?
3/22
What is prob of picking 2 c when two letters pick
|
{
"pile_set_name": "DM Mathematics"
}
|
.
7578
What is the common denominator of -49/27 and 52/3267?
3267
Find the common denominator of 57/140 and 59/60.
420
Calculate the lowest common multiple of 4 and 16.
16
Find the common denominator of -137/24 and 63/200.
600
Find the common denominator of 73/84 and 79/280.
840
Calculate the lowest common multiple of 274 and 685.
1370
Calculate the common denominator of 9/208 and 113/30.
3120
Find the common denominator of -117/644 and 71/184.
1288
Find the common denominator of -103/10 and -121/696.
3480
Calculate the common denominator of 87/344 and 123/40.
1720
What is the common denominator of 103/3880 and 93/776?
3880
What is the lowest common multiple of 157 and 6?
942
What is the common denominator of 103/34 and -22/355?
12070
Calculate the common denominator of 5/1251 and 69/2224.
20016
What is the least common multiple of 11313 and 12570?
113130
What is the lowest common multiple of 1090 and 545?
1090
Find the common denominator of 69/10 and -46/67.
670
What is the common denominator of 95/6 and 45/638?
1914
Find the common denominator of -47/123 and 34/123.
123
What is the lowest common multiple of 3 and 9?
9
Calculate the least common multiple of 253 and 529.
5819
Calculate the lowest common multiple of 120 and 48.
240
What is the common denominator of 9/625 and -1/1750?
8750
Calculate the common denominator of 7/198 and 95/176.
1584
What is the smallest common multiple of 192 and 27?
1728
What is the lowest common multiple of 156 and 54?
1404
Find the common denominator of -89/774 and 125/6.
774
What is the common denominator of 44/31 and 33/10?
310
Find the common denominator of 143/1110 and -89/518.
7770
What is the least common multiple of 52 and 1268?
16484
What is the common denominator of -71/30 and 58/237?
2370
Calculate the smallest common multiple of 261 and 3.
261
Find the common denominator of 103/18 and 37/8470.
76230
What is the common denominator of 109/330 and 31/1470?
16170
Calculate the common denominator of 25/2328 and -41/1940.
11640
Calculate the smallest common multiple of 4628 and 1068.
13884
What is the lowest common multiple of 185 and 13?
2405
Calculate the common denominator of 149/24 and -61/96.
96
Calculate the common denominator of -95/6 and 65/9.
18
What is the lowest common multiple of 27 and 153?
459
What is the least common multiple of 48 and 348?
1392
What is the common denominator of -40/7 and 37/1556?
10892
Calculate the common denominator of 125/48 and -145/96.
96
Calculate the smallest common multiple of 645 and 125.
16125
What is the least common multiple of 8 and 582?
2328
Calculate the common denominator of -101/4 and -61/24.
24
What is the least common multiple of 770 and 140?
1540
Calculate the common denominator of 18/163 and -69/2.
326
Calculate the common denominator of -97/20 and -29/42.
420
What is the lowest common multiple of 4 and 3812?
3812
Calculate the least common multiple of 2296 and 984.
6888
Calculate the smallest common multiple of 132 and 180.
1980
Find the common denominator of -77/12 and -52/159.
636
What is the common denominator of -9/22 and -137/66?
66
What is the common denominator of -23/656 and 151/5904?
5904
Calculate the common denominator of -49/146 and 19/48.
3504
Calculate the least common multiple of 12 and 42.
84
Calculate the lowest common multiple of 2394 and 162.
21546
Find the common denominator of 38/15 and -43/660.
660
Find the common denominator of -19/11 and 48/277.
3047
Find the common denominator of 93/2584 and -7/20.
12920
What is the common denominator of -119/144 and 11/36?
144
Find the common denominator of -32/15 and -46/3.
15
Find the common denominator of -83/1276 and 3/10.
6380
Find the common denominator of 47/11 and -74/213.
2343
Find the common denominator of -7/1920 and 151/600.
9600
What is the least common multiple of 474 and 10?
2370
Find the common denominator of -17/165 and 19/15.
165
Calculate the smallest common multiple of 11 and 480.
5280
Find the common denominator of 97/96 and -1/180.
1440
Calculate the smallest common multiple of 171 and 27.
513
Calculate the common denominator of 103/36 and -101/24.
72
Find the common denominator of 79/90 and 56/9.
90
What is the lowest common multiple of 1221 and 330?
12210
Calculate the least common multiple of 16 and 14.
112
Calculate the common denominator of -4/5 and 61/10.
10
What is the smallest common multiple of 354 and 531?
1062
What is the least common multiple of 238 and 28?
476
Calculate the least common multiple of 501 and 24.
4008
Find the common denominator of -65/72 and -37/8.
72
What is the common denominator of 43/3 and -28/1437?
1437
Calculate the smallest common multiple of 1324 and 20.
6620
What is the lowest common multiple of 15 and 9?
45
Calculate the least common multiple of 65 and 91.
455
Find the common denominator of 103/1050 and 63/650.
13650
What is the common denominator of 119/18 and 109/12?
36
What is the lowest common multiple of 2463 and 821?
2463
Calculate the common denominator of -107/90 and -5/4869.
48690
Calculate the smallest common multiple of 9006 and 18.
27018
What is the smallest common multiple of 15 and 12345?
12345
Find the common denominator of -113/66 and -103/825.
1650
Calculate the least common multiple of 110 and 6.
330
What is the lowest common multiple of 9 and 4878?
4878
Calculate the common denominator of -32/15 and 4/283.
4245
Calculate the common denominator of -33/1946 and 101/14.
1946
What is the common denominator of 25/143 and -5/2?
286
Calculate the least common multiple of 4700 and 36.
42300
Calculate the common denominator of 1/2600 and -83/44.
28600
Find the common denominator of 61/14 and 101/140.
140
Find the common denominator of -133/48 and -33/64.
192
What is the lowest common multiple of 30 and 7428?
37140
Calculate the lowest common multiple of 20 and 408.
2040
Calculate the least common multiple of 14 and 116.
812
What is the smallest common multiple of 218 and 981?
1962
What is the lowest common multiple of 42 and 1806?
1806
Find the common denominator of 47/152 and -53/114.
456
Calculate the lowest common multiple of 202 and 18.
1818
What is the common denominator of 43 and -29/189?
189
What is the least common multiple of 20 and 408?
2040
What is the smallest common multiple of 862 and 6?
2586
What is the least common multiple of 10 and 351?
3510
Calculate the least common multiple of 126 and 3150.
3150
What is the smallest common multiple of 1118 and 20?
11180
What is the smallest common multiple of 380 and 171?
3420
What is the common denominator of -5/48 and -121/108?
432
Calculate the lowest common multiple of 66 and 78.
858
Calculate the common denominator of -19/1336 and -61/52.
17368
Find the common denominator of -61/42 and -95/6.
42
What is the lowest common multiple of 1330 and 190?
1330
What is the common denominator of -93/7562 and -29/266?
52934
What is the least common multiple of 963 and 3210?
9630
Calculate the smallest common multiple of 67 and 27.
1809
What is the lowest common multiple of 4 and 2428?
2428
What is the smallest common multiple of 2775 and 444?
11100
Calculate the common denominator of -35/489 and -85/21.
3423
What is the lowest common multiple of 18 and 246?
738
Calculate the common denominator of 39/38 and 7/10.
190
Calculate the common denominator of -34/25 and 13/205.
1025
What is the common denominator of 127/180 and 17/336?
5040
Find the common denominator of -97/14 and -61/77.
154
What is the lowest common multiple of 1085 and 7378?
36890
Find the common denominator of -56/65 and 21/299.
1495
Calculate the common denominator of -48/77 and -85/98.
1078
Calculate the common denominator of 53/22 and 46/165.
330
What is the common denominator of -29/308 and -23/196?
2156
Calculate the least common multiple of 1140 and 228.
1140
Find the common denominator of -95/2144 and -79/128.
8576
What is the common denominator of -19/487 and 101/974?
974
What is the common denominator of -7/870 and -71/258?
37410
Calculate the smallest common multiple of 221 and 3.
663
Calculate the common denominator of 13/1736 and 13/48.
10416
What is the least common multiple of 45 and 13?
585
Calculate the least common multiple of 148 and 28.
1036
What is the common denominator of -157/78 and 55/
|
{
"pile_set_name": "DM Mathematics"
}
|
when 171209 is divided by 9.
2
What is the remainder when 2746 is divided by 102?
94
Calculate the remainder when 271585 is divided by 1113.
13
What is the remainder when 7396 is divided by 308?
4
Calculate the remainder when 10924 is divided by 512.
172
Calculate the remainder when 911903 is divided by 1100.
3
What is the remainder when 6311 is divided by 81?
74
What is the remainder when 14899 is divided by 75?
49
What is the remainder when 379811 is divided by 62?
61
What is the remainder when 29118 is divided by 267?
15
What is the remainder when 1012756 is divided by 40?
36
Calculate the remainder when 7475 is divided by 32.
19
Calculate the remainder when 13339 is divided by 81.
55
What is the remainder when 4188 is divided by 1008?
156
What is the remainder when 804 is divided by 203?
195
Calculate the remainder when 759 is divided by 263.
233
Calculate the remainder when 2825 is divided by 7.
4
What is the remainder when 228155 is divided by 22?
15
What is the remainder when 6309 is divided by 166?
1
Calculate the remainder when 151680 is divided by 464.
416
Calculate the remainder when 829474 is divided by 122.
118
Calculate the remainder when 2767999 is divided by 343.
332
Calculate the remainder when 24875 is divided by 15.
5
Calculate the remainder when 34971 is divided by 32.
27
What is the remainder when 191194 is divided by 12?
10
Calculate the remainder when 2951 is divided by 559.
156
Calculate the remainder when 22438 is divided by 22429.
9
What is the remainder when 91976 is divided by 1373?
1358
What is the remainder when 2594 is divided by 12?
2
Calculate the remainder when 27892 is divided by 754.
748
Calculate the remainder when 4599381 is divided by 1733.
1732
Calculate the remainder when 10709 is divided by 153.
152
Calculate the remainder when 44674 is divided by 89.
85
What is the remainder when 235 is divided by 187?
48
What is the remainder when 50967 is divided by 4?
3
Calculate the remainder when 32305 is divided by 26.
13
Calculate the remainder when 1334 is divided by 36.
2
Calculate the remainder when 32140 is divided by 79.
66
What is the remainder when 1533 is divided by 283?
118
What is the remainder when 1312003 is divided by 1312?
3
What is the remainder when 3471 is divided by 28?
27
Calculate the remainder when 783 is divided by 417.
366
What is the remainder when 2802 is divided by 134?
122
Calculate the remainder when 5328 is divided by 21.
15
Calculate the remainder when 38986 is divided by 18.
16
What is the remainder when 106121 is divided by 25?
21
Calculate the remainder when 27162 is divided by 63.
9
What is the remainder when 7830 is divided by 1780?
710
What is the remainder when 48353 is divided by 5?
3
Calculate the remainder when 375868 is divided by 374.
372
Calculate the remainder when 53334 is divided by 38.
20
What is the remainder when 4815 is divided by 156?
135
What is the remainder when 4341 is divided by 716?
45
What is the remainder when 3561 is divided by 588?
33
What is the remainder when 32989 is divided by 276?
145
Calculate the remainder when 20919 is divided by 455.
444
Calculate the remainder when 56605 is divided by 7075.
5
What is the remainder when 1157879 is divided by 24?
23
Calculate the remainder when 1062 is divided by 179.
167
What is the remainder when 68192 is divided by 477?
458
Calculate the remainder when 121592 is divided by 1076.
4
What is the remainder when 12284 is divided by 19?
10
Calculate the remainder when 1639 is divided by 162.
19
Calculate the remainder when 5601 is divided by 377.
323
What is the remainder when 19480 is divided by 201?
184
What is the remainder when 4327 is divided by 1?
0
What is the remainder when 303942 is divided by 135?
57
Calculate the remainder when 33036 is divided by 485.
56
Calculate the remainder when 43338 is divided by 78.
48
Calculate the remainder when 4278 is divided by 345.
138
Calculate the remainder when 256585 is divided by 1106.
1099
Calculate the remainder when 79681 is divided by 233.
228
Calculate the remainder when 11063 is divided by 4.
3
What is the remainder when 6491 is divided by 224?
219
What is the remainder when 1262 is divided by 53?
43
Calculate the remainder when 56488 is divided by 35.
33
Calculate the remainder when 1092 is divided by 331.
99
What is the remainder when 127439 is divided by 135?
134
Calculate the remainder when 3903425 is divided by 24.
17
Calculate the remainder when 2307 is divided by 45.
12
What is the remainder when 23070 is divided by 30?
0
Calculate the remainder when 134464 is divided by 27.
4
Calculate the remainder when 13119 is divided by 4301.
216
What is the remainder when 23479 is divided by 11605?
269
What is the remainder when 2415 is divided by 62?
59
What is the remainder when 5980 is divided by 5776?
204
What is the remainder when 1880 is divided by 617?
29
Calculate the remainder when 3544 is divided by 197.
195
Calculate the remainder when 4135 is divided by 69.
64
Calculate the remainder when 986 is divided by 334.
318
What is the remainder when 3673077 is divided by 380?
377
Calculate the remainder when 68347 is divided by 234.
19
What is the remainder when 974 is divided by 436?
102
Calculate the remainder when 13419 is divided by 1481.
90
Calculate the remainder when 475900 is divided by 14.
12
What is the remainder when 122030 is divided by 164?
14
Calculate the remainder when 6387 is divided by 68.
63
What is the remainder when 375477 is divided by 298?
295
What is the remainder when 14735 is divided by 1?
0
What is the remainder when 2593 is divided by 375?
343
What is the remainder when 52796 is divided by 1955?
11
What is the remainder when 7518 is divided by 377?
355
Calculate the remainder when 115690 is divided by 40.
10
What is the remainder when 16156 is divided by 31?
5
What is the remainder when 32544 is divided by 10?
4
What is the remainder when 14474 is divided by 689?
5
What is the remainder when 136634 is divided by 9?
5
What is the remainder when 1519 is divided by 153?
142
Calculate the remainder when 33726 is divided by 8.
6
What is the remainder when 365847 is divided by 29?
12
What is the remainder when 4688 is divided by 149?
69
Calculate the remainder when 3436 is divided by 1064.
244
Calculate the remainder when 1950 is divided by 42.
18
What is the remainder when 99143 is divided by 8?
7
What is the remainder when 138405 is divided by 6?
3
Calculate the remainder when 6750 is divided by 252.
198
What is the remainder when 1499938 is divided by 1282?
1280
Calculate the remainder when 43284 is divided by 849.
834
What is the remainder when 1001953 is divided by 627?
7
What is the remainder when 2960 is divided by 297?
287
What is the remainder when 7311 is divided by 2228?
627
What is the remainder when 23469 is divided by 743?
436
What is the remainder when 17276 is divided by 144?
140
What is the remainder when 9866 is divided by 39?
38
Calculate the remainder when 18354 is divided by 18329.
25
What is the remainder when 160443 is divided by 561?
558
What is the remainder when 97916 is divided by 36?
32
What is the remainder when 499517 is divided by 160?
157
What is the remainder when 3830 is divided by 1236?
122
What is the remainder when 873 is divided by 102?
57
What is the remainder when 13397 is divided by 100?
97
Calculate the remainder when 3388 is divided by 3365.
23
What is the remainder when 60476 is divided by 70?
66
What is the remainder when 5289 is divided by 753?
18
What is the remainder when 75721 is divided by 721?
16
Calculate the remainder when 342695 is divided by 230.
225
What is the remainder when 36241 is divided by 68?
65
Calculate the remainder when 38733 is divided by 538.
535
What is the remainder when 205 is divided by 203?
2
What is the remainder when 71028 is divided by 17754?
12
What is the remainder when 7784 is divided by 972?
8
What is the remainder when 30660 is divided by 411?
246
What is the remainder when 358 is divided by 121?
116
What is the remainder when 3718169 is divided by 1758?
1757
What is the remainder when 8073 is divided by 5?
3
What is the remainder when 398971 is divided by 46?
13
Calculate the remainder when 1529 is divided by 480.
89
Calculate the remainder when 32734
|
{
"pile_set_name": "DM Mathematics"
}
|
**3 + 3*o**2/2 - 27*o + 7. Let x be l(5). Let j = x + 62. Which is smaller: -24 or j?
j
Let c(t) = 9*t**2 - 5*t**2 - 3 - 3*t**2 + 1 + 13*t. Let w be c(-16). Let r be (1 + (-4)/3)*69/w. Which is smaller: -0.12 or r?
r
Suppose 0 = 3*w - h - 66, 0 = -4*h - 9 + 21. Suppose 0*j + j - w = s, 5*s + 3*j = -123. Which is bigger: -101/4 or s?
s
Let s = -4.07 - -3.6. Let y = s - -0.457. Let k = y - -1.013. Is -0.17 greater than or equal to k?
False
Suppose 6*n + 21167 = -25891. Let z be n/165 + 2/10. Are z and -47 non-equal?
True
Let v(m) = -4*m**3 - 2*m**2 + 2*m + 1. Let z = -34 + 32. Let y be -2 + (-2)/z - (1 + -4). Let n be v(y). Is -34 > n?
True
Let s(x) = 124*x + 281. Let g be s(4). Let f = g - 776. Which is greater: f or 3/626?
f
Let y = -4837 - -4837.1. Which is bigger: y or -568?
y
Let u be -8 + (16/(-136) - (-6900)/561) + -4. Do u and -646 have the same value?
False
Suppose 3*q = -9 + 6. Let p be 2/(-1) + (-62 - -69 - 1133/227). Which is bigger: q or p?
p
Let n be (85/10 - 6) + (-297)/18. Suppose 0 = 4*r - 4*l - 20 + 60, 5*r - l + 66 = 0. Is n at most r?
True
Let j = -21907 - -3417511/156. Which is smaller: j or -1?
-1
Let x be ((-6)/(-7))/((-62425)/509810) - (-3 - 4). Which is smaller: x or 0?
x
Let j = 543 - 490. Suppose 4*c - 78 - 144 = 2*y, -5*y - 225 = -4*c. Is c < j?
False
Suppose 0 = 4*k + w - 371 + 97, -216 = -3*k + w. Let p(y) = y**3 + y - 8. Let j be p(0). Let l be (-2)/j*4 - k/(-6). Does l = 13?
False
Let g be (-41959)/(4 + (-51)/(-9)). Let f = -4341 - g. Are -1 and f unequal?
True
Let u = -6.068 + 6.86. Which is smaller: -1 or u?
-1
Let p be (-31 + 299)*6/120. Which is smaller: p or 12?
12
Let t(g) = 6*g**3 + 2*g**2 - 1. Let n be t(1). Suppose -3*y + 16*y + 150 = 63*y. Suppose 109 = -2*m - 3*o, n*m = y*m - o - 223. Which is smaller: -57 or m?
-57
Let d = -0.3384 + -0.6616. Let g = -0.25 - -10.25. Is g > d?
True
Let o be -1 + -1*49001/4. Let h = o + 12101. Let b = h + 39073/260. Do -1 and b have the same value?
False
Suppose 12*k - 12 + 1 = 13. Do 30/13 and k have the same value?
False
Let l be (18/130665)/((-511)/(-70) + -7). Is l at least as big as 1?
False
Suppose l = -c + 51, -4*l + 2*c + 3*c = -159. Which is bigger: 48 or l?
48
Let f be (15/20)/(9/(-60)). Let x(i) = 16*i + 110. Let l be x(f). Suppose -64 = -4*s + 60. Which is bigger: l or s?
s
Let b(d) = 8*d**2 - 10*d - 62. Let w be b(-4). Let f = w + -68. Is f at most as big as 39?
True
Suppose -5*x - 128 = -7*x. Suppose 86 + x = 10*r. Suppose 0 = -n - 5*a - 2, -2*n = -a - r - 25. Which is smaller: n or 0?
0
Let q = -0.0441 + 27.2441. Let d = 27.49 - q. Which is greater: d or 8?
8
Suppose 2*a + 0 - 4 = 2*h, 2*a + 3*h - 29 = 0. Suppose 69 = -4*j - a. Which is bigger: j or -20?
j
Let i be (-316562)/(-20)*70/(-36). Let d = i + 30839. Let y = -245/4 + d. Does 0 = y?
False
Suppose -2*p - 20 = s + 8, -7*p - 34 = -2*p + s. Let q = -5.6 + 9. Let v = 0.8 + q. Which is smaller: p or v?
p
Suppose -9*b + 18 + 0 = 0. Suppose 0*h = b*h - 20. Suppose -3*f + 2 = -t - 10, 2*f = h. Do 0.07 and t have the same value?
False
Let a be -4*(14/(-77))/((-6)/1). Suppose -4*g = 8, 2*g = 3*h - 4 - 6. Suppose -h*u = -4*l, l - 4*u + 5 = -2*l. Which is smaller: a or l?
a
Let q = -762 + 764. Suppose 24*j = -q*p + 27*j + 3, -4*p + 3*j + 3 = 0. Which is smaller: -2 or p?
-2
Suppose 2*q = -3*i + 13, -5*q = -2*i - 0*i - 4. Suppose z = -5*c + q, 5*c - 2 = -2*z - 3. Let k = -4/2257 - 13322/124135. Which is smaller: c or k?
k
Suppose 0 = y + 2*o - 17, 14 - 3 = -2*y + o. Which is bigger: y or -9/1417?
-9/1417
Let m = 39 - 46. Let c = m + 7.46. Let a = 0.46 - c. Which is smaller: -11/3 or a?
-11/3
Let b be 284/(-71) + 2655/2615 + 3. Is b < 1?
True
Let y be (47/(5640/48))/(24/10). Is y not equal to 4?
True
Let c be 3*(-36 - (-18 + -4)). Let g be 2*-1*(-1 + -19). Let q = g + -82. Is c smaller than q?
False
Suppose 12*v + 11*v = -3956. Let m = v - -174. Which is greater: 9 or m?
9
Let o = -720 - -720.0708. Let r = o + -0.0808. Is 4 smaller than r?
False
Let x = 4 + 3.4. Let n = x + -8.07. Let i = 0.37 + n. Which is smaller: i or -2?
-2
Suppose -2*l + 1 = t + 12, 2*t - 13 = 3*l. Let r be (2 + 4)*l/2. Let z = 80772 + -80788. Is z <= r?
True
Let l(c) = c**2 - 3*c - 4. Let r be l(5). Let j be (-1 - -5 - 27/r)*2. Let y be (-12)/90 + 116/1095. Which is greater: y or j?
y
Let d = 21 + -9. Let o be (-7)/(-3)*3 + (-115)/23. Let q be (1/(-3))/((2/(-39))/o). Which is smaller: d or q?
d
Let h = -6737 - -5820. Is 0 at most as big as h?
False
Suppose 2*m - 1698 = -568. Is m <= 565?
True
Suppose -5*p + 289 = 2*i, -3*p - 5*i = -0*i - 181. Let d = p + -49. Suppose -2*x = -2*l - d, 0*l - 6 = 2*x + 5*l. Which is bigger: x or 0.01?
x
Let w(o) = -5*o**2 + 76*o - 24. Let l(x) = -2*x**3 + 72*x**2 + x - 22. Let t be l(36). Let m be w(t). Do 10 and m have the same value?
False
Let b = 0.599 - 0.815. Let i = 0.316 + b. Which is smaller: -118/5 or i?
-118/5
Let j = 61 - 25. Let v = j + -34. Let b be v/9 - 114/27. Is b < -6?
False
Suppose -5*f = 3*m - 0*f - 140, 0 = 5*m + 3*f - 228. Let s be (42/m)/7 + (-48958)/210. Is -234 less than s?
True
Let g = 33/4 + -15/4. Let h = -97/6 + g. Let s(n) = 6*n + 197. Let x be s(-35). Is h at most as big as x?
False
Let d be (16/(-12))/(-6 - (4 - 14)). Let j = 6 - 6.3. Let i = j + 0.22. Which is bigger: i or d?
i
Let t = 279 + -285.08. Let k = t + 384.08. Is 2/5 equal to k?
False
Let w = -251774/26104605 - -2/31263. Which is smaller: 1 or w?
w
Let x = 10035 + -10056. Are -55 and x equal?
False
Let n = 3908 + -3746. Is n less than 142?
False
Let t = -6930 - -6932. Which is smaller: t or 6/2689?
6/2689
Let a = 2.5545 + -2.6445. Which is smaller: -682 or a?
-682
Let c = 1642 + -438. Is -1 >= c?
False
Let f(s) = -898*s + 17075. Let k be f(19). Let v(m) = 2*m - 7. Let a be v(6). Let g be (18/10 - -1)*a. Which is bigger: k or g?
g
Let n(r) = -r**3 + 17*r**2 + 14*r - 62. Let p be n(24). Is -3758 smaller than p?
False
Let o be (-6 - -8 - 5)*(1 + -2). Suppose 0 = 4*g, 5*g = -o*a + 6*g - 1347. Are -449 and a equal?
True
Let t = -21.17 - -21.4. Let q = t - 0.13. Is q greater than or equal to -7/4?
True
Let f(k) = -k**2 + k - 1. Suppose 5*h - 4*l - 25 = 0, -5*h = -0*h - 2*l - 15. Let q be f(h). Let z(g) = -2*g - 4. Let b be z(q). Which is smaller: -4/3 or b?
b
Suppose -4*l = -4*q - l, l = -5*q - 19. Let z be -1*(12/4)/q. Let d = 3112/11 + -283. Which is smaller: z or d?
d
Let d be (-29574 - 6 - 5)*12/20. Do d and -17750 have the same value?
False
Let w be ((-6)/(-20)*(-248)/124)/((-1146)/4). Does w = -10?
False
Let v = -18.042 - -18. Let x = 46.958 - v. Let u = -45 + x. Which is bigger: u or -0.07?
u
Suppose -11*t = 8288 + 28760. Is -3367 at most t?
False
Suppose -11*h = -6097 + 28240. Does h = -2013?
True
Let v be 3717/(-84)*7/(42/(-72)). Which is greater: v or 2649/5?
v
Let n be (-837)/(-372) + 3/(6/3 + -3). Which is greater: 446 or n?
446
Let u be 2/5 + 4872/120. Suppose a = -2*r + 72, 0*a + 3*a - u = -r. Which is smaller: r or -0.1?
-0.1
Let g = -66741 + 11613019/174. Let w = g - -1/87. Let b = w - 1. Which is greater: -1/3 or b?
-1/3
Suppose 0*z = 4*z + 84. Let f be (1035/90)/(1/(-2)). Is z at most as big as f?
False
Let n be 1/(-3) - (-1075)/75. Let i(b) = -19*b + 254. Let a be i(n). Is a less than 6?
True
Let l = -265994/58256093 + 40/12019. Which is bigger: 0 or l?
0
Suppose 6*r - 1320 = -1326. Is -607 at least r?
False
Let v = 96 - 101. Let b be 3 + -6 - 54 - v. Are b and -52 equal?
True
Let f be (72/(-48) - 62/(-36))*-12. Which is greater: f or 547?
547
Let t(k) = 4*k - 6. Suppose -h - 5*d + 30 = 0, 3*h - 2*d + 2 = 7. Suppose -h*b = 2*g - 0*g + 2, 5*b = -g - 1. Let a be t(g). Are -10 and a nonequal?
False
Suppose -121 + 141 = 5*s, -4*s = -4*n + 712. Which is bigger: n or 42?
n
Let y be (-890)/(-36) + -21 + (-3025)/(-150). Is y bigger than 25?
False
Let k(c) = -c**3 - 62*c**2 - 138*c - 1088. Let w be k(-60). Let x be (20/(-16))/((-1)/(-7)). Which is smaller: w or x?
x
Let t = 0.081839 - -0.026161. Let p = -69/4 + 17. Is p less than or equal to t?
True
Let u be -3*12/48 + (-1333)/4. Let g = 336 + u. Which is greater: g or 6/5?
g
Let z = 113 - 899/8. Suppose 0 = -l - 2 + 7, -5*w + l = 20. Let g be w + (-4)/(8/(-10)). Which is smaller: z or g?
z
Let y = 51681/9185 - -117/167. Are 7 and y unequal?
True
Let g be (-24
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{
"pile_set_name": "DM Mathematics"
}
|
y**2 + 0 = 0.
0, 1/2
Let t be (4 - 7) + (-9)/(-2) + -1. Let n(m) be the first derivative of -1/6*m**3 + 3/8*m**4 + 0*m - t*m**2 - 6. Solve n(o) = 0 for o.
-2/3, 0, 1
Let o(f) = f**2 - 10*f + 3. Let u be o(10). Suppose 0 = k + k - 6. Solve 7*s**4 + 39*s**u - 2*s**5 - 39*s**k - 3*s**4 = 0 for s.
0, 2
Let t = -2507/38 + 1263/19. Solve 1/2 + t*i**2 - i = 0 for i.
1
Let k(j) be the third derivative of j**5/12 + 5*j**4/8 + 5*j**3/3 - 40*j**2. Solve k(b) = 0 for b.
-2, -1
Let k be (-4 + 1385/345)*6/(-4). Let y = 43/138 - k. Determine o, given that y*o + 0 - 1/3*o**3 + 1/3*o**2 - 1/3*o**4 = 0.
-1, 0, 1
Solve 120/7*k - 12*k**2 - 6/7*k**3 + 3600/7 = 0 for k.
-10, 6
Let t be 27/(972/48) + (-2)/15. Let k(q) be the first derivative of -12 + 2/5*q**2 - t*q - 2/45*q**3. Factor k(n).
-2*(n - 3)**2/15
Let i(o) be the second derivative of -1/14*o**3 + 0 + 1/84*o**4 - 14*o + 1/7*o**2. Factor i(r).
(r - 2)*(r - 1)/7
Suppose 0 = 3*h - 5*f - 705, -218 = -h - 3*f - f. Let q = h + -228. Factor 1/3*d**q + 1/3*d - 2/3.
(d - 1)*(d + 2)/3
Let m = -173/14 + 90/7. Let t(h) be the second derivative of -1/6*h**3 + 0 - 1/42*h**7 + 1/30*h**6 - 2*h + m*h**2 + 1/10*h**5 - 1/6*h**4. Factor t(v).
-(v - 1)**3*(v + 1)**2
Let a be 57/(-27) + 2 - 8400/(-36720). Solve 20/17 - a*y**2 - 6/17*y = 0.
-5, 2
Let u(q) be the first derivative of -q**4 + 7*q**3/6 + q**2/4 + 906. What is o in u(o) = 0?
-1/8, 0, 1
Let z(l) be the third derivative of -l**5/210 + 11*l**4/21 + 11*l**2 + l. Factor z(d).
-2*d*(d - 44)/7
Let j(x) be the first derivative of -3*x**4/20 + 21*x**3/5 - 64. Suppose j(z) = 0. Calculate z.
0, 21
Let z = 24158 - 169079/7. Factor 18/7*t + z + 3/7*t**2.
3*(t + 3)**2/7
Determine m, given that 124/3*m + 0 - 122/3*m**2 - 2/3*m**3 = 0.
-62, 0, 1
Factor 3*t**2 - 3/4*t**4 + 6*t - 3/2*t**3 + 0.
-3*t*(t - 2)*(t + 2)**2/4
Let i = 1430/3 + -474. Suppose 4*f**3 - 20/3*f**2 + i*f + 4/3*f**4 - 4/3*f**5 + 0 = 0. Calculate f.
-2, 0, 1
Let o(b) be the first derivative of -2*b**5/5 + 4*b**3/3 - 2*b + 259. Find p, given that o(p) = 0.
-1, 1
Let j(o) be the third derivative of o**6/160 - 9*o**5/40 + 105*o**4/32 - 25*o**3 + 513*o**2. Factor j(d).
3*(d - 8)*(d - 5)**2/4
Let n(t) = 31*t**2 - t - 1. Let y be n(2). Let q = -117 + y. What is j in 0*j + 0 - 1/3*j**2 - 2/3*j**3 - 1/3*j**q = 0?
-1, 0
What is f in -165/8 + 3/8*f**3 - 171/8*f**2 + 333/8*f = 0?
1, 55
Let x(f) be the third derivative of f**7/5460 - f**6/1170 - 4*f**3/3 + 5*f**2. Let y(z) be the first derivative of x(z). Determine h, given that y(h) = 0.
0, 2
Let m(w) be the third derivative of 0*w**3 + 51*w**2 - 1/270*w**6 + 0*w + 0 - 1/270*w**5 + 1/108*w**4. Suppose m(h) = 0. Calculate h.
-1, 0, 1/2
Let a(c) = c**3 - 13*c**2 + 12*c + 10. Let b be a(12). Suppose -m - 4*w = -b, 6 = 2*m - w + 2*w. Factor -3*g**2 - 6*g**2 + 15*g**m - 3*g**3.
-3*g**2*(g - 2)
Let v be (-4)/5 + 552/460. Factor -2/5*b - v*b**2 + 0.
-2*b*(b + 1)/5
Let z(k) = 13*k**3 - k**2 + 3*k - 4. Let w be z(2). Let f = 106 - w. Let 0*o + 1/2*o**3 + 1/4*o**f + 1/4*o**2 + 0 = 0. Calculate o.
-1, 0
Factor 1/6*s**2 + 1/3*s - 1/2.
(s - 1)*(s + 3)/6
Let l(q) = 2*q**3 - 6*q**2 + 18*q + 9. Let f(r) = -2*r**2 - 3. Let j(h) = -3*f(h) - l(h). Factor j(k).
-2*k*(k - 3)**2
Let b = 9387 - 46928/5. Factor -6/5*l**2 - b*l**3 + 32/5*l - 1/5*l**4 + 32/5.
-(l - 2)*(l + 1)*(l + 4)**2/5
Let t(f) = 2 + 0*f**3 - 1 + f**3 - f**4 + 0*f**3. Let c(d) = -6*d**4 - 14*d**3 - 20*d**2 - 8*d + 2. Let m(r) = -c(r) + 2*t(r). Find i, given that m(i) = 0.
-2, -1, 0
Let j(v) be the first derivative of -2*v**6/5 - 2*v**5/25 + 18*v**4/5 + 36*v**3/5 + 26*v**2/5 + 6*v/5 - 590. Determine q, given that j(q) = 0.
-1, -1/6, 3
Let j(z) be the second derivative of 1/30*z**6 - 1/9*z**4 + 0*z**3 - 25*z + 0*z**2 + 0*z**5 + 0 + 1/126*z**7. Solve j(l) = 0.
-2, 0, 1
Let s(u) = -u**3 - u**2 + 2*u + 3. Suppose -40 = -5*z - 50. Let a be s(z). Find g, given that 2/3*g - 1/3*g**5 + 0 + g**a - 1/3*g**4 + 5/3*g**2 = 0.
-1, 0, 2
Let j(d) be the third derivative of -13*d**7/1050 - 11*d**6/600 + d**5/20 + 11*d**4/120 - d**3/15 + 85*d**2. What is h in j(h) = 0?
-1, 2/13, 1
Suppose -3*b - h - 22 = -24, -3*h - 12 = 3*b. Determine w, given that -54/7*w**b + 0 - 48/7*w**2 - 8/7*w = 0.
-2/3, -2/9, 0
Suppose 2/5*w - 2/5*w**2 + 0 = 0. Calculate w.
0, 1
Let w = 9959/5684 + -3/1421. Let b be 108/40 - 2/10. Determine y so that -3/4*y**4 + 1 - w*y**2 - b*y**3 + y = 0.
-2, -1, 2/3
Let n(p) be the first derivative of p**3/3 - 7*p**2 + 33*p - 186. Factor n(w).
(w - 11)*(w - 3)
Let c(n) be the second derivative of -7*n**5/220 + n**4/66 - 170*n. Factor c(a).
-a**2*(7*a - 2)/11
Let y be (48/112)/(2/14). Find o such that 4*o**y - 4*o**3 + 4*o**3 + 4*o**2 = 0.
-1, 0
Let h(d) be the first derivative of -2/9*d + 1/6*d**2 + 0*d**3 + 12 - 1/36*d**4. Factor h(v).
-(v - 1)**2*(v + 2)/9
Let l(k) be the first derivative of -36 - 784*k - 56*k**2 - 4/3*k**3. Factor l(v).
-4*(v + 14)**2
Factor -2*p + 2/5*p**2 + 8/5.
2*(p - 4)*(p - 1)/5
Let j = 503 - 503. Let 0*i + j - 15/2*i**5 - 18*i**2 + 69/2*i**4 - 30*i**3 = 0. Calculate i.
-2/5, 0, 2, 3
Let z = 13934/33 - 2247730/5313. Let b = z - -32/23. Factor 0 + 8/7*p**4 - 2/7*p - b*p**2 + 6/7*p**3 - 8/7*p**5.
-2*p*(p - 1)**2*(2*p + 1)**2/7
Let i(q) = -36*q**4 - 40*q**3 + 20*q**2 + 3*q. Let u(a) = -24*a**4 - 27*a**3 + 14*a**2 + 2*a. Let o(h) = 5*i(h) - 7*u(h). Factor o(c).
-c*(c + 1)*(3*c - 1)*(4*c + 1)
Let n = 175/27 - 166/27. Suppose 0 + 7/6*f**4 + 11/6*f**2 - n*f - 8/3*f**3 = 0. Calculate f.
0, 2/7, 1
Let v(g) be the third derivative of g**7/945 + g**6/45 + 11*g**5/270 - 37*g**2. Factor v(h).
2*h**2*(h + 1)*(h + 11)/9
Let p be 58/145*7/14. Let 5 - 9/5*q**2 + p*q**3 + 3*q = 0. What is q?
-1, 5
Let v(q) = 2*q**2 - 68*q + 5. Suppose 28*x = 5*x + 782. Let t be v(x). What is g in 9/4*g**5 + 13/4*g**3 + 0 + t*g**4 + 1/2*g**2 + 0*g = 0?
-1, -2/9, 0
Suppose 0*i**2 - 16*i**2 - 200 - 53224*i + 52420*i = 0. Calculate i.
-50, -1/4
Find p, given that 6/5 + 21/5*p + 27/5*p**2 + 3*p**3 + 3/5*p**4 = 0.
-2, -1
Let l(u) be the third derivative of u**8/1680 + u**7/2520 - u**6/180 - u**5/120 - u**4/8 + 14*u**2. Let i(c) be the second derivative of l(c). Factor i(h).
(h - 1)*(h + 1)*(4*h + 1)
Let g(q) = -q**4 + q**3 - q**2 - q - 2. Let w(b) = -4*b**4 + 44*b**3 - 12*b**2 - 44*b - 16. Let p(v) = 8*g(v) - w(v). What is c in p(c) = 0?
-9, -1, 0, 1
Let u(f) be the first derivative of 20/3*f**3 - 27 - 5/2*f**2 + 4*f**5 - 5/6*f**6 - 15/2*f**4 + 0*f. Determine y so that u(y) = 0.
0, 1
Let v(k) be the second derivative of -1/28*k**7 - 2*k + 1/2*k**3 + 9/40*k**5 - 5/8*k**4 + 1/20*k**6 + 0*k**2 + 0. Factor v(w).
-3*w*(w - 1)**3*(w + 2)/2
Let g be (12/(-4) - -5)/(44/(-11170)). Let i = -507 - g. Factor 8/11 - 30/11*n - i*n**2.
-2*(n + 4)*(4*n - 1)/11
Let z(g) be the first derivative of -1/12*g**4 - 5 + 0*g + 5/9*g**3 - 2/3*g**2. Factor z(i).
-i*(i - 4)*(i - 1)/3
Suppose 0 = 4*c - 5*z - 25, -13*c + 10*c + z = -16. Let b(v) be the second derivative of -3/20*v**c + 1/4*v**4 + 0 + 0*v**3 + 0*v**2 - 2*v. Factor b(x).
-3*x**2*(x - 1)
Let k(f) be the first derivative of -f**8/14280 + f**7/2380 - f**6/1530 - 3*f**3 + 9. Let b(v) be the third derivative of k(v). Factor b(q).
-2*q**2*(q - 2)*(q - 1)/17
Let u(d) be the first derivative of -d - 25 + 1/2*d**2 + 1/3*d**3 - 1/4*d**4. Let u(p) = 0. What is p?
-1, 1
Let h(a) = -13*a**2 - 21*a - 17. Let y(r) = 3*r**2 + 5*r + 4. Suppose 0 = -k, n - 2*k = 3*k + 2. Let b(v) = n*h(v) + 9*y(v). Find i, given that b(i) = 0.
-2, -1
Let j = 565 + -79099/140. Let g(f) be the third derivative of 0 + 10*f**2 + 0*f + j*f**5 + 0*f**4 + 1/98*f**7 + 0*f**3 + 1/70*f**6 + 1/392*f**8. Factor g(w).
3*w**2*(w + 1)**2*(2*w + 1)/7
Let t(k) = 7*k**3 + 284*k**2 + 567*k + 290. Let z(n) = -10*n**3 - 285*n**2 - 565*n - 290. Let r(a) = 5*t(a) + 4*z(a). Determine s so that r(s) = 0.
-1, 58
Let z(m) = m**2 - 3*m - 1. Let b be z(-2). Factor -15 + b*t**2 + 4*t**2 + 18*t - 16*t**2.
-3*(t - 5)*(t - 1)
Let v(q) = q**2 - 175*q + 7534. Let y be v(75). Factor 145/2*r**2 + y*r + 2.
(5*r + 2)*(29*r + 2)/2
Suppose 5*p = u + 15, 2*u + 3*u = 2*p - 6. Suppose p*k = 21 - 15. Determine m, given that 8/7*m + 2/7*m**k + 8/7 = 0.
-2
Factor -51/2*v - 6*v**2 + 21/2*v**3 - 9.
3*(v - 2)*(v + 1)*(7*v + 3)/2
Let y(k) be the second derivative of 121*k**5/20 + 352*k**4/3 - 262*k**3/
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{
"pile_set_name": "DM Mathematics"
}
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ce ffg when three letters picked without replacement from {u: 1, f: 2, t: 4, g: 7}?
1/156
What is prob of sequence fwfw when four letters picked without replacement from {w: 7, f: 6, l: 2}?
1/26
Four letters picked without replacement from wqqqqwwqr. Give prob of sequence rqqq.
5/252
Two letters picked without replacement from ytglgeyleylgegggyfy. What is prob of sequence tf?
1/342
Three letters picked without replacement from zzrzzowozotarzooatot. What is prob of sequence ztw?
1/380
Calculate prob of sequence nnrd when four letters picked without replacement from {f: 1, d: 1, c: 3, r: 13, n: 2}.
13/58140
Two letters picked without replacement from {y: 6, l: 1, n: 1, u: 1, i: 2, f: 4}. Give prob of sequence yl.
1/35
Three letters picked without replacement from kkkkkbbkkk. Give prob of sequence kbb.
1/45
What is prob of sequence dd when two letters picked without replacement from {d: 15, r: 4}?
35/57
Two letters picked without replacement from llnlfflffffnlnffll. Give prob of sequence fn.
4/51
Three letters picked without replacement from {t: 2, m: 1, z: 2, s: 1}. Give prob of sequence ztm.
1/30
Four letters picked without replacement from ajjmrrjamhjjjrz. Give prob of sequence azra.
1/5460
Calculate prob of sequence so when two letters picked without replacement from {z: 3, s: 2, g: 3, o: 1, e: 10}.
1/171
What is prob of sequence my when two letters picked without replacement from mkvnyvgmg?
1/36
What is prob of sequence mz when two letters picked without replacement from {z: 7, m: 1}?
1/8
Calculate prob of sequence kkkk when four letters picked without replacement from {k: 7}.
1
Two letters picked without replacement from onoodnonondo. Give prob of sequence dn.
2/33
What is prob of sequence jjjm when four letters picked without replacement from mmjmmmmjmjmmjmmmmm?
7/1530
Two letters picked without replacement from {v: 2, i: 8, o: 1, e: 8, t: 1}. What is prob of sequence tv?
1/190
Three letters picked without replacement from iaaiaiaaaaaa. Give prob of sequence aii.
9/220
Calculate prob of sequence nodb when four letters picked without replacement from lndnqboq.
1/840
Calculate prob of sequence vv when two letters picked without replacement from {q: 4, v: 3, p: 2, y: 6}.
1/35
What is prob of sequence ae when two letters picked without replacement from {y: 4, e: 3, a: 5}?
5/44
Three letters picked without replacement from {f: 11, a: 3}. Give prob of sequence aaf.
11/364
Four letters picked without replacement from {r: 2, u: 2, l: 5, y: 9}. Give prob of sequence rurl.
1/3672
What is prob of sequence wp when two letters picked without replacement from {t: 3, p: 1, y: 2, w: 10}?
1/24
Two letters picked without replacement from {a: 3}. What is prob of sequence aa?
1
What is prob of sequence llll when four letters picked without replacement from llllllllll?
1
Two letters picked without replacement from dbdbbddddbdb. Give prob of sequence bb.
5/33
Four letters picked without replacement from tsssetttstssttstrr. Give prob of sequence ress.
7/6120
Two letters picked without replacement from {v: 1, m: 1, e: 4, s: 1, u: 1}. Give prob of sequence ms.
1/56
Calculate prob of sequence wfxm when four letters picked without replacement from smmmwkkwkmwwkxwwfxmx.
1/1292
Calculate prob of sequence gjj when three letters picked without replacement from gggggggjggggjggggg.
1/153
Three letters picked without replacement from {e: 1, d: 3, b: 3, u: 7, g: 5}. Give prob of sequence gbd.
5/646
What is prob of sequence zz when two letters picked without replacement from gkgkggzkkgkzg?
1/78
Calculate prob of sequence iim when three letters picked without replacement from {p: 6, m: 1, i: 3, c: 7}.
1/680
Calculate prob of sequence vn when two letters picked without replacement from innhavvk.
1/14
Two letters picked without replacement from {t: 4}. Give prob of sequence tt.
1
Two letters picked without replacement from bcccg. Give prob of sequence cb.
3/20
What is prob of sequence zoo when three letters picked without replacement from {o: 2, h: 1, z: 2, w: 1}?
1/30
What is prob of sequence rx when two letters picked without replacement from rsxskxrsxr?
1/10
Three letters picked without replacement from {z: 2, h: 1, m: 1, y: 2, k: 2}. Give prob of sequence yzy.
1/84
Three letters picked without replacement from xxhhxddh. What is prob of sequence ddx?
1/56
Calculate prob of sequence wwb when three letters picked without replacement from {s: 9, w: 2, b: 8}.
8/2907
Four letters picked without replacement from yeeeeeeeeeeeeee. What is prob of sequence eeey?
1/15
Two letters picked without replacement from {g: 1, w: 1, q: 2, v: 3}. Give prob of sequence vg.
1/14
Calculate prob of sequence cvvc when four letters picked without replacement from {v: 5, c: 7}.
7/99
Three letters picked without replacement from {v: 2, n: 1, r: 2, l: 4, i: 3, g: 3}. Give prob of sequence ggl.
4/455
Three letters picked without replacement from {s: 7}. Give prob of sequence sss.
1
Calculate prob of sequence rk when two letters picked without replacement from {g: 2, k: 1, r: 4, j: 4}.
2/55
Three letters picked without replacement from {u: 7, a: 2, h: 5, g: 4}. Give prob of sequence agg.
1/204
Calculate prob of sequence gnyn when four letters picked without replacement from {n: 2, g: 1, v: 4, y: 3}.
1/840
Three letters picked without replacement from {v: 1, b: 1, y: 5, f: 1, g: 1, r: 5}. Give prob of sequence fyy.
5/546
Four letters picked without replacement from yohuyqk. Give prob of sequence yhoy.
1/420
Four letters picked without replacement from eeeelbaw. What is prob of sequence albw?
1/1680
Calculate prob of sequence uu when two letters picked without replacement from {w: 1, u: 2}.
1/3
Calculate prob of sequence bb when two letters picked without replacement from {b: 4}.
1
Four letters picked without replacement from uuouuvuuvoouvo. Give prob of sequence vuov.
1/143
What is prob of sequence sg when two letters picked without replacement from sygy?
1/12
Four letters picked without replacement from {h: 5, y: 7, f: 2, t: 4}. Give prob of sequence httf.
1/612
What is prob of sequence oq when two letters picked without replacement from zoq?
1/6
Calculate prob of sequence soc when three letters picked without replacement from {z: 4, o: 6, c: 4, b: 1, s: 2}.
1/85
What is prob of sequence fkf when three letters picked without replacement from {f: 15, k: 3}?
35/272
Two letters picked without replacement from vvvvhhhvvhvvvvvvvv. What is prob of sequence vv?
91/153
What is prob of sequence kaca when four letters picked without replacement from {n: 4, k: 2, o: 2, c: 1, a: 3}?
1/990
Two letters picked without replacement from owooavwto. Give prob of sequence at.
1/72
What is prob of sequence ii when two letters picked without replacement from {i: 4, c: 3}?
2/7
Calculate prob of sequence gut when three letters picked without replacement from {t: 2, u: 4, k: 2, y: 1, x: 1, g: 2}.
2/165
Calculate prob of sequence phd when three letters picked without replacement from {p: 2, y: 5, h: 2, d: 2, x: 2}.
2/429
Two letters picked without replacement from grrvvqv. Give prob of sequence vv.
1/7
Two letters picked without replacement from {x: 1, y: 10, g: 2, i: 3}. Give prob of sequence ii.
1/40
Calculate prob of sequence nbnb when four letters picked without replacement from {b: 5, n: 4, f: 2}.
1/33
What is prob of sequence mmc when three letters picked without replacement from mcksm?
1/30
Three letters picked without replacement from {z: 9, p: 5}. Give prob of sequence zpz.
15/91
Four letters picked without replacement from {w: 1, i: 7, o: 2}. What is prob of sequence ooii?
1/60
What is prob of sequence jm when two letters picked without replacement from {d: 4, j: 4, z: 5, m: 6}?
4/57
Calculate prob of sequence zdp when three letters picked without replacement from {t: 1, d: 9, p: 1, z: 6}.
9/680
Calculate prob of sequence wzq when three letters picked without replacement from wzzqo.
1/30
What is prob of sequence uuue when four letters picked without replacement from {s: 1, q: 5, e: 11, u: 3}?
11/19380
Calculate prob of sequence jj when two letters picked without replacement from fedffdehffjejjjffdd.
2/57
What is prob of sequence ttmm when four letters picked without replacement from {j: 2, r: 2, g: 4, m: 1, t: 1, v:
|
{
"pile_set_name": "DM Mathematics"
}
|
?
False
Suppose 0 = 42*a - 18433 - 128063. Does 9 divide a?
False
Let n(v) = -2*v**2 - 15*v - 21. Let t(p) = -p**2 - 7*p - 9. Let k(o) = 2*n(o) - 5*t(o). Let i(m) = -m**2 + m + 4. Let d be i(4). Does 11 divide k(d)?
False
Let m(v) = 15*v**2 + 312*v + 84. Does 98 divide m(10)?
True
Let l be 3/((-48)/116) + 3/12. Let o(y) = -2*y - 9. Let m be o(l). Is 11 a factor of ((-22)/m)/(-4 - 95/(-25))?
True
Let z(a) = a**3 + 10*a**2 + 5. Let u be z(-10). Suppose 2*q - 4*f = 1910, u*q = 2*f + 6117 - 1350. Is q a multiple of 27?
False
Suppose -104 = -0*m - 4*m. Suppose -22*p + 20 = -m*p. Let b = 45 + p. Is b a multiple of 10?
True
Suppose 5*f = 3*a + 16234, 0 = 5*a - 59 + 24. Is f a multiple of 17?
False
Suppose -4*m + 52 = -2*m. Suppose 108*i = 107*i. Suppose -29*n + m*n + 99 = i. Does 14 divide n?
False
Is 38 a factor of (-18)/90*15 - (-72741)/3?
True
Let r be (26488/(-21))/(-2)*(-12)/8. Let o = -427 - r. Does 9 divide o?
False
Suppose -4*a = i - 4*i - 247, -389 = 5*i - a. Is 14/i - (-178)/11 a multiple of 6?
False
Suppose 2*z = 10, -2*k = -6*k - 4*z + 36. Suppose 0*s + 10 = 3*l - 2*s, 2*l + 5 = -s. Suppose -k*p - 7 = i - 27, l = -5*i + 5*p + 125. Is 8 a factor of i?
True
Suppose 56*u - 35 = 51*u. Suppose 874 = u*c - 932. Suppose 206 = 2*a - c. Is a a multiple of 14?
False
Let o(g) = 0*g + 2*g + 0*g - g + g + 132. Does 8 divide o(5)?
False
Let f be (8/(-12))/((-4)/18). Suppose 2*i = f*y - 126, -y = 7*i - 2*i + 349. Let u = i - -129. Is 15 a factor of u?
True
Let j = -673 - -471. Let u = j - -310. Is u a multiple of 7?
False
Suppose -7*g - 36 = -16*g. Suppose 0 = g*l - 5*c - 17, 2*c - 4 = -2*l - 0*c. Suppose -q - 178 = -3*q - 4*a, -l*a - 94 = -q. Is q a multiple of 22?
False
Let x(c) = 63*c**2 - 845*c + 13. Is x(15) a multiple of 5?
False
Suppose -5 = -2*v + 1. Suppose 33*l = -63*l - 6*l + 306. Suppose -7*q + 20 = -v*q, -207 = -4*x - l*q. Is x a multiple of 8?
True
Let s(m) be the first derivative of 16*m**2 - 28*m + 27. Is 14 a factor of s(10)?
False
Suppose -4*w = -j - 38, -20*j + 146 = -25*j - 2*w. Let p = 240 + j. Does 16 divide p?
False
Let b = 1267 + -688. Suppose -7*i + 667 = -b. Does 37 divide i?
False
Suppose 4329 = -k - 3*c + 16067, -28 = -4*c. Is k a multiple of 7?
False
Suppose 609*o - 568*o - 34522 = 0. Does 5 divide o?
False
Suppose 5*u - 962 = 618. Suppose -56*q = -115*q + 61*q. Suppose 4*a - 3*r - 628 = q, a - u = -a + r. Does 40 divide a?
True
Let i(v) = -v**3 + 13*v**2 - 27*v - 7. Let w be i(12). Let m = w + 902. Is m a multiple of 55?
True
Let d(v) = v**3 + 17*v**2 + 8*v - 18. Does 31 divide d(-15)?
False
Let n(o) = 22*o + 3. Let s be n(-2). Let l = s - -41. Suppose l = 4*u + 8 - 16. Is u a multiple of 2?
True
Let c(d) = 3*d**2 + 18*d - 9*d - 4 - 3*d - 11*d. Let t be c(6). Let i = t + -44. Does 6 divide i?
True
Let o = -206 + 346. Let q = o + -71. Is 184/q*246/8 a multiple of 41?
True
Suppose -5*p = -9*i + 4*i - 50, -5*i - p - 38 = 0. Let q = 232 - i. Is q a multiple of 40?
True
Suppose 0 = 2*n - 22 + 16. Suppose -i = -y + 5*y - 1715, -n*y + 1295 = -i. Suppose -y = -5*p + 10. Is p a multiple of 44?
True
Suppose 0 = 5*f + 3*g - 81312, 5*f - 177*g - 81292 = -175*g. Is 60 a factor of f?
True
Let c = -119 + 145. Is 7 a factor of ((-12)/16 + c/24)*474?
False
Suppose -2*m = -2*s - 1830, -m = -5*s - 144 - 791. Suppose 5*j = 5*b - m, 3*j = 3*b + 7*j - 511. Is 11 a factor of b?
False
Suppose -y = 3*r - 64, r + 2*y + 5 = 28. Suppose -6*l = -3099 + r. Does 57 divide l?
True
Let m be 7/9 - 1 - (-128)/9. Suppose -p = d - m, 2*p + 32 = -d + 5*d. Suppose d*x + 130 = 2790. Is x a multiple of 38?
True
Suppose 10*a - 9*a - 4*a = -39552. Does 32 divide a?
True
Let q be 0 - 0 - (10 + -14). Suppose -q*r = -h - 10, -2*r + r + 10 = h. Suppose h*a - 10*a = -24. Is a a multiple of 6?
True
Let s(b) = 11*b**2 + 12*b + 37. Let p = -215 + 212. Does 25 divide s(p)?
True
Let x(f) be the second derivative of 1/3*f**3 + 0 + 8*f + 3*f**2 + 2/3*f**4 - 1/20*f**5. Does 11 divide x(8)?
True
Let z = 26 - 31. Let w be ((-10)/(-1))/(6 + z). Suppose -w*s - 165 + 2565 = 0. Is 24 a factor of s?
True
Let f(j) = -6*j - 20 + 2*j + 11*j + 6*j. Is f(6) a multiple of 7?
False
Let r be -7*(-4)/21*3. Suppose 8775 = 9*p - r*p. Suppose -v + 10*v - p = 0. Is 13 a factor of v?
True
Let h be 662/10 + 6 - 2/10. Suppose -71*z - 174 = -h*z. Is 30 a factor of z?
False
Let k(w) = w**2 - 5*w - 5. Let l be k(-2). Let q(r) = r**3 - 10*r**2 + 10*r - 3. Let p be q(l). Suppose 4*j + p*b - b - 591 = 0, 159 = j - b. Does 22 divide j?
True
Let d(t) = -t**3 + 3*t**2 + 8*t - 10. Let g be d(4). Let f be (-1)/3 + ((-4)/g - -2). Is (-504)/(-8) - (-6 + f) a multiple of 17?
True
Let c(t) be the third derivative of -t**5/60 + 17*t**4/8 - 41*t**3/3 + 285*t**2. Is 21 a factor of c(33)?
False
Suppose 5*f = 10*f - 50. Suppose c = -f*c + 704. Let p = 216 - c. Does 19 divide p?
True
Let g be (0/3)/(-4 + 8 - 3). Suppose 4 = -2*y + 3*y. Suppose g*o + y*o = 5*d - 254, d - o - 50 = 0. Does 17 divide d?
False
Let j be 3/5 + 162/30. Let u be j/(-2) + (-5 + -1 - -675). Is 28 a factor of 1/(2*3/u)?
False
Let g(t) be the third derivative of 0*t + t**2 + 11/12*t**4 - 6 - 10*t**3. Does 20 divide g(12)?
False
Suppose -9*x = -10802 + 2621. Suppose 0 = -6*q + 3183 + x. Is q a multiple of 41?
False
Suppose 27*x = 24*x + 6. Suppose -2*s = -j + x*j, -12 = -4*j + 4*s. Suppose -l - 381 = -j*b, b = -l - 3*l + 204. Is 29 a factor of b?
False
Let v = -4004 + 12361. Is v a multiple of 7?
False
Suppose -59*p - 76 = -63*p. Suppose p*x = 24*x - 845. Is x even?
False
Let u = 7045 - 5576. Is u a multiple of 41?
False
Is 37 a factor of (176/(-3) + 1/(-3))*5307/(-29)?
False
Suppose -3*a + 2 = -3*j - 133, -4*a = 2*j - 156. Let r = -15214 - -15276. Suppose 3*u + a = r. Is u a multiple of 7?
True
Suppose 3*u + 2013 = 7*q - 6*q, 4*q - 8052 = -2*u. Is 61 a factor of q?
True
Let v be ((-128)/3)/((-9)/(-27)). Let o be (1036/14)/(-1 - 0). Let h = o - v. Is 27 a factor of h?
True
Let d = -32 - -34. Let m(g) = -18*g**3 - 4 + 20*g**3 + g - g**2 + g**d + 3*g**2. Is m(2) a multiple of 11?
False
Let h(o) = -10*o + 16. Let f be h(-5). Let g = 69 - f. Suppose -g*x = -q + 2*x + 3, 0 = 2*q - 5*x - 31. Is q even?
True
Let v(t) = 0 + 2 + 4 + 20*t - 44*t. Is v(-3) a multiple of 2?
True
Does 9 divide -6 - 312/(-54) - (4 + (-3926)/9)?
True
Is (-5 + 1133070)/19 + (10 - 1) a multiple of 13?
True
Suppose -6 = -6*g - 0. Let w be (-1046)/(5 - (g - -6)). Suppose w = 3*h - 197. Is h a multiple of 48?
True
Let d(f) = 341*f - 1527. Does 39 divide d(8)?
False
Suppose 15*f - 52 = 2*f. Suppose -2*c - 3*t = 37, 0*t - 3*t + 29 = -f*c. Does 13 divide c*(4 + 1 + -7)?
False
Suppose -5*c + 8*z - 4*z - 71 = 0, 4*c + 55 = 5*z. Does 11 divide (-1325)/c + 3/(-9)?
True
Let j(g) = g**3 + 14*g**2 - 18*g - 17. Let y be j(-15). Suppose 0 = 2*x + 12*x - y. Suppose 2*i - 42 = 3*l, i = -3*l + x*l + 16. Is i a multiple of 15?
False
Suppose -4*t = -9*t + 4*a + 717, -4*t + 4*a = -576. Suppose 0 = -6*r + 1077 - t. Is 26 a factor of r?
True
Suppose -64737 - 467487 = 10*v - 64*v. Is v a multiple of 112?
True
Let l = -37729 + 54177. Does 103 divide l?
False
Suppose -3*j + 9 = 4*l, -3*l - 3*j + 9 = 2*l. Let f(h) = 2*h**3 + 0*h + 138 - 198*h**2 + 197*h**2 - h. Is f(l) a multiple of 37?
False
Let j(l) be the third derivative of 7*l**5/10 + l**4/12 - l**3/3 - 20*l**2 - 4*l. Is 3 a factor of j(1)?
True
Suppose -185*d + 187*d + 1440 = 0. Let r = -440 - d. Does 70 divide r?
True
Is 17 - ((-3126)/6 + -12) a multiple of 11?
True
Let a(o) = 4*o**2 - 14*o + 24. Let x be a(-11). Let y be x/1 + 3 + -7 + 2. Suppose 18*w - 23*w = -y. Does 12 divide w?
True
Let w = 37398 + -32555. Is w a multiple of 25?
False
Let z = -37643 + 77813. Does 15 divide z?
True
Suppose -9*v - 4*v = 39. Let x be (72/15 - (-5 - v))*90. Does 28 divide -1 + 3 + x/4?
False
Is 3769200/288*(-4)/(-3) a multiple of 36?
False
Suppose -45 = -5*s + 15. Let g = -17 - s. Let w = 10 - g. Is w a multiple of 16?
False
Is 2 a factor of 1245904/576 - 5/180?
False
Suppose a - 11515 = -2*l, 3*l - 5*a - 12742 = 4563. Is l a multiple of 45?
True
Does 17 divide 64/160 - ((-849730)/(-25))/(-2)?
False
Let d = -589 - -245. Let n = 866 + d. Does 25 divide n?
False
Let f = 8268 + -4398. Does 387 divide f?
True
Let t(y) = 20*y + 30. Let z(u) = 20*u + 29. Suppose -p + d -
|
{
"pile_set_name": "DM Mathematics"
}
|
- 808 + 31253*j + j**2 - 2*j**2 = 0.
-202, 2
Let u be (23/1863)/(2/(-12)) - (-13209)/2268. Factor u*f + 3/2 - 5/4*f**2 - f**3.
-(f - 2)*(f + 3)*(4*f + 1)/4
Factor 400*o**3 - 271*o**2 + 4040*o - 296 - 63*o**4 - 2339*o**2 - 1529 + 58*o**4.
-5*(o - 73)*(o - 5)*(o - 1)**2
Suppose -8 = 521*z - 525*z. Determine h, given that 6*h**2 + 24 - 2*h**z + 0*h - 20*h = 0.
2, 3
Let t(d) = 21*d + 9. Let z be t(4). Let f = z + -81. Suppose 24*a - 84*a**2 - 39*a**4 + 102*a**3 - f*a**4 + 7*a**5 + 2*a**5 = 0. What is a?
0, 2/3, 1, 2
Let l(g) be the first derivative of -g**6/2 - 72*g**5/5 - 297*g**4/2 - 652*g**3 - 2403*g**2/2 - 972*g - 3425. Find c such that l(c) = 0.
-9, -4, -1
Let c(q) be the second derivative of 23*q - 4 - 8/15*q**2 + 1/90*q**4 + 7/45*q**3. Factor c(i).
2*(i - 1)*(i + 8)/15
Let d(s) = 3*s - 1. Let c be d(6). Suppose 5*n - p - 5 = -3*p, -4*n + p + c = 0. Factor 108*z**3 - 112*z**n - z**5 + 5*z**5.
4*z**3*(z - 1)*(z + 1)
Let r(y) be the first derivative of 16*y + 34 + 4/3*y**2 + 1/18*y**4 - 20/27*y**3. Let r(i) = 0. What is i?
-2, 6
Let k(w) be the first derivative of w**6/36 - 2*w**5/15 + w**4/4 + 211*w**3/3 + 221. Let z(o) be the third derivative of k(o). Let z(v) = 0. What is v?
3/5, 1
Let l(m) = 16*m**4 - 496*m**3 - 1439*m**2 - 983*m. Let j(o) = -5*o**4 + 164*o**3 + 481*o**2 + 328*o. Let b(z) = -7*j(z) - 2*l(z). Factor b(h).
3*h*(h - 55)*(h + 1)*(h + 2)
Let u(n) be the first derivative of -83 - 1/60*n**6 + 0*n + 1/15*n**3 + 0*n**5 + 0*n**2 + 3/40*n**4. Factor u(f).
-f**2*(f - 2)*(f + 1)**2/10
Let t(w) be the first derivative of -2*w**3/39 + 1238*w**2/13 - 766322*w/13 + 1819. Factor t(q).
-2*(q - 619)**2/13
Let f = 19561 + -19561. Let w(v) be the third derivative of f*v - 2/3*v**4 - 39*v**2 + 1/6*v**6 + 8/15*v**5 + 0 + 0*v**3. Factor w(d).
4*d*(d + 2)*(5*d - 2)
Suppose -3*n = 5*w + 16, -7*n + 22 = -3*n - 2*w. Factor -16*g**3 - 11*g**2 + 6*g**3 - 10*g**2 + 7*g**n + 24*g.
-3*g*(g - 1)*(g + 8)
Let x(p) = -8*p**2 - 24*p - 5. Let k be x(-3). Let a be k/(((-30)/4)/3). Factor -9*y - 1/4*y**3 - 3*y**a + 0.
-y*(y + 6)**2/4
Let r(u) be the second derivative of -u**6/180 + u**5/30 + 19*u**4/72 + 7*u**3/18 - 122*u. Factor r(k).
-k*(k - 7)*(k + 1)*(k + 2)/6
Let d(c) = c**2 + 15*c - 31. Let i be (1 + 2/(-6))/((-4)/102). Let v be d(i). Let 2 - 1 + 3*o**4 + 8*o**2 - 2*o + 7*o**2 - 19*o**2 + 2*o**v = 0. Calculate o.
-1, 1/3, 1
Factor -2*u**2 - 558*u - u**2 - 1051 - 638 - 495.
-3*(u + 4)*(u + 182)
Let u(t) = 287*t**3 - 2*t**2 - 3*t + 4. Let y be u(1). Let m = -286 + y. Factor -1/4*j**4 + m*j + 0 + 1/4*j**2 + 0*j**3.
-j**2*(j - 1)*(j + 1)/4
Let w(r) be the second derivative of r**6/660 + r**5/30 - 25*r**4/132 + 13*r**3/33 + 111*r**2/2 - 45*r. Let l(i) be the first derivative of w(i). Factor l(z).
2*(z - 1)**2*(z + 13)/11
Let a(q) be the first derivative of 5*q**3/3 + 100*q**2 + 380*q - 1416. Determine b so that a(b) = 0.
-38, -2
Let h(s) be the third derivative of s**7/210 - 91*s**6/30 - 367*s**5/20 - s**4/6 + 734*s**3/3 + 3974*s**2. Factor h(m).
(m - 367)*(m - 1)*(m + 2)**2
Let o = -504 - -506. Let h(w) be the second derivative of 2/3*w**3 + 0*w**o + 0 - 1/3*w**4 + 2/15*w**6 - 1/42*w**7 + 5*w - 3/20*w**5. Solve h(s) = 0 for s.
-1, 0, 1, 2
Factor -168508*m - 254616 + 1/2*m**4 + 171389/2*m**2 - 413*m**3.
(m - 412)**2*(m - 3)*(m + 1)/2
Let t(f) be the first derivative of 15/2*f**2 + 0*f - 14 + 0*f**3 + 1/270*f**5 + 1/54*f**4. Let b(u) be the second derivative of t(u). Factor b(s).
2*s*(s + 2)/9
Suppose -418*t + 416*t = -48. Let n be t/(-45)*(-72)/32. Factor 3/5*p + 0 + 0*p**4 - n*p**3 + 0*p**2 + 3/5*p**5.
3*p*(p - 1)**2*(p + 1)**2/5
Let n(m) be the third derivative of m**8/672 + 13*m**7/120 + 97*m**6/240 - 221*m**5/60 + 203*m**4/24 - 215*m**3/24 - 131*m**2 - 30*m. Let n(b) = 0. Calculate b.
-43, -5, 1/2, 1
Let i(l) = 9*l**3 + 701*l**2 + 24495*l - 25209. Let m(z) = 19*z**3 + 1401*z**2 + 48990*z - 50419. Let v(a) = 9*i(a) - 4*m(a). Factor v(t).
5*(t - 1)*(t + 71)**2
Let c(a) be the first derivative of -a**4/5 + 4*a**3/3 + 12*a**2/5 - 291. Determine k, given that c(k) = 0.
-1, 0, 6
Determine t so that -3507*t + 1776*t - t**3 - 68 + 1795*t - 13*t**2 = 0.
-17, 2
Suppose 4545*u**2 + 36*u**3 + 9 - 9091*u**2 - 15*u**4 + 4528*u**2 - 12*u = 0. Calculate u.
-3/5, 1
Factor -40*o + 1/5*o**4 - 16/5*o**3 - 217/5*o**2 + 0.
o*(o - 25)*(o + 1)*(o + 8)/5
Let r be ((-390)/(-40))/((-1)/(-84)). Suppose 3*g - 96 = r. Let 31*u**3 - 100*u**4 - 114*u**2 + 8*u**5 - 30*u**2 + g*u**3 = 0. Calculate u.
0, 1/2, 6
Let c(v) be the first derivative of v**4/28 - 25*v**3/21 - 4331. What is r in c(r) = 0?
0, 25
Let x(w) be the second derivative of 1/21*w**4 + 0*w**2 - 1/147*w**7 + 0*w**5 + 1/21*w**3 + w - 3 - 2/105*w**6. Factor x(z).
-2*z*(z - 1)*(z + 1)**3/7
Let f(s) be the first derivative of -s**7/1680 - s**6/360 - 134*s**3/3 - 19. Let g(v) be the third derivative of f(v). Factor g(y).
-y**2*(y + 2)/2
Let g(q) be the third derivative of -5*q - 1/80*q**5 - 1/320*q**6 + 0 - q**2 + 0*q**3 + 3/64*q**4. Factor g(u).
-3*u*(u - 1)*(u + 3)/8
Let d be (3/(-5))/((-3)/15). Let a(m) = 10*m + 202. Let z be a(-20). Solve 0*j**z - 2 - d*j**2 + 4*j**2 + j**2 = 0.
-1, 1
Let a be 229 - 18*14/63. Let v be (10/6)/(a/315). Factor -2/3*r + v*r**3 - 5/3*r**2 + 0.
r*(r - 1)*(7*r + 2)/3
Determine o so that -266*o**4 + 440 - 11*o**3 + 62*o**4 + 391*o**3 - 768*o - 3*o**5 - 1224 + 604*o**2 + 7*o**5 = 0.
-1, 2, 49
Suppose 0 = -z + 2*c - 5 - 6, z = -5*c - 25. Let l(k) = -3*k - 31. Let y be l(z). Suppose -74*m + 4*m**2 - y*m + 484 + 0*m**2 = 0. Calculate m.
11
Let k(s) = -4*s + 110. Let o be k(25). Let q be 7 - (-71)/(-10) - (-21)/o. Factor 0*c + 0 + 2/5*c**q.
2*c**2/5
Let y be 5/(-50) + (-11)/(-220)*(-174)/(-7). Factor -y*i - 2/7*i**2 + 0.
-2*i*(i + 4)/7
Let i(y) be the second derivative of 1/135*y**6 - 1/45*y**5 - 4/9*y**2 + 0 + 8/27*y**3 - 61*y - 1/18*y**4. Suppose i(z) = 0. Calculate z.
-2, 1, 2
Let -36*m**3 + 0*m**2 - 8*m**3 - 3*m**4 - 6*m**2 - 9*m**2 + 6*m**4 = 0. Calculate m.
-1/3, 0, 15
Let x(s) be the second derivative of -s**7/63 - s**6/3 + 127*s**5/30 + 5*s**4/6 - 14*s**3 + 72*s - 6. Let x(o) = 0. What is o?
-21, -1, 0, 1, 6
Let u = -178 + 2671/15. Let q(m) be the second derivative of 13*m + 0 - u*m**4 + 0*m**2 + 2/3*m**3. Factor q(d).
-4*d*(d - 5)/5
Factor -108 + 96/7*a - 3/7*a**2.
-3*(a - 18)*(a - 14)/7
Let h(a) be the second derivative of a**6/45 - 8*a**5/15 + 37*a**4/9 - 104*a**3/9 + 15*a**2 - 3*a + 15. Solve h(r) = 0.
1, 5, 9
Let x(m) be the third derivative of 1/48*m**5 - 60*m**2 + 0*m**3 + 0*m + 0*m**4 + 0 + 1/480*m**6. Factor x(h).
h**2*(h + 5)/4
Let g(b) be the second derivative of b**6/210 - 34*b**5/7 + 58139*b**4/42 - 38420*b**3/7 + 114921*b**2/14 - 219*b + 5. Let g(x) = 0. Calculate x.
1, 339
Let z(g) be the third derivative of 0 + 0*g**3 + 0*g + 0*g**4 - 1/1680*g**7 - 1/48*g**5 + 11/960*g**6 + 98*g**2. Factor z(b).
-b**2*(b - 10)*(b - 1)/8
Let g be 27*(-15)/(-3240) - (0 - 62188/160). Factor -1/5*f**4 - g*f**2 - 23328/5*f - 72/5*f**3 - 104976/5.
-(f + 18)**4/5
Let c(k) be the second derivative of 1/4*k**5 + 82*k - 1/42*k**7 + 1/30*k**6 - 4/3*k**3 + 0 - 2*k**2 - 1/12*k**4. Factor c(h).
-(h - 2)**2*(h + 1)**3
Let w(a) be the first derivative of a**6/16 + 17*a**5/8 + 131*a**4/16 + 51*a**3/4 + 151*a**2/16 + 25*a/8 + 1077. Suppose w(j) = 0. What is j?
-25, -1, -1/3
Let t(s) be the second derivative of -s**5/30 - 43*s**4/18 - 10*s**3/3 + 168*s**2 + 5184*s. Factor t(a).
-2*(a - 3)*(a + 4)*(a + 42)/3
Suppose 308/3*y - 308/3*y**3 + 2/15*y**4 + 514/5 - 1544/15*y**2 = 0. What is y?
-1, 1, 771
Let h be ((-35)/21)/5 - (-86)/123. Let w = h - -63/164. Factor 0 + 3/4*n**4 - 3/8*n**5 + 0*n**3 - w*n**2 + 3/8*n.
-3*n*(n - 1)**3*(n + 1)/8
Let y(a) be the third derivative of -2/15*a**5 + 0 + 1/105*a**7 - 105*a**2 + 0*a**3 + 0*a**4 + 0*a + 1/168*a**8 - 1/15*a**6. Factor y(u).
2*u**2*(u - 2)*(u + 1)*(u + 2)
Suppose 3*u = -5*j - 1174, -j + 1171 = -6*j - 2*u. Let q = j - -235. Factor -2/5 - g - 4/5*g**q - 1/5*g**3.
-(g + 1)**2*(g + 2)/5
Let h(r) = -4*r**3 - 23*r**2 + 231*r + 225. Let q(z) = 4*z**3 + 24*z**2 - 224*z - 224. Let i(k) = 4*h(k) + 5*q(k). Factor i(w).
4*(w - 5)*(w + 1)*(w + 11)
Let a(g) be the first derivative of 4*g**5/25 + 13*g**4/5 + 16*g**3/5 - 512*g**2/5 - 1024*g/5 - 278. Solve a(x) = 0.
-8, -1, 4
Let f be (9
|
{
"pile_set_name": "DM Mathematics"
}
|
many millilitres are there in 17/4 of a litre?
4250
How many grams are there in 6/5 of a kilogram?
1200
What is 77700.08 millennia in centuries?
777000.8
How many kilograms are there in 39.00068ug?
0.00000003900068
How many grams are there in 678.229 micrograms?
0.000678229
How many years are there in 6/5 of a century?
120
How many nanoseconds are there in 73.62221 seconds?
73622210000
How many nanometers are there in 1.885859 centimeters?
18858590
Convert 373003.2mm to centimeters.
37300.32
What is 31467.47 weeks in milliseconds?
19031525856000
How many milligrams are there in eighteen fifths of a gram?
3600
What is twenty-one halves of a microsecond in nanoseconds?
10500
How many millilitres are there in 81/4 of a litre?
20250
What is 13/8 of a week in hours?
273
How many minutes are there in sixty-one halves of a hour?
1830
What is 61/2 of a second in milliseconds?
30500
What is thirty-seven halves of a decade in months?
2220
How many minutes are there in 46/5 of a day?
13248
How many millilitres are there in eleven tenths of a litre?
1100
How many micrometers are there in 5/4 of a millimeter?
1250
Convert 176639.1t to micrograms.
176639100000000000
What is 60003.63 millennia in months?
720043560
How many millilitres are there in twenty-one fifths of a litre?
4200
What is 23.58734 hours in nanoseconds?
84914424000000
Convert 9519.236 micrometers to meters.
0.009519236
How many millilitres are there in eighteen fifths of a litre?
3600
Convert 537.3116 micrograms to milligrams.
0.5373116
How many millilitres are there in 3/25 of a litre?
120
What is 8857.633 grams in micrograms?
8857633000
What is 65926.41 nanometers in centimeters?
0.006592641
How many millilitres are there in 6/5 of a litre?
1200
How many microseconds are there in 11.29467 hours?
40660812000
Convert 43.978167ms to days.
0.0000005090065625
How many millilitres are there in twenty-nine halves of a litre?
14500
How many nanometers are there in fourty-two fifths of a micrometer?
8400
What is 5/8 of a litre in millilitres?
625
Convert 6.91969 milligrams to grams.
0.00691969
Convert 106158.3 centuries to months.
127389960
How many nanoseconds are there in three fifths of a microsecond?
600
What is 2/125 of a micrometer in nanometers?
16
What is 6/25 of a centimeter in micrometers?
2400
How many milligrams are there in 4768.254t?
4768254000000
What is 87/4 of a decade in months?
2610
Convert 0.6933039mg to grams.
0.0006933039
What is 482526.9 kilograms in grams?
482526900
Convert 27.83899 centuries to months.
33406.788
How many nanometers are there in 932.6781 micrometers?
932678.1
How many nanograms are there in 29/5 of a microgram?
5800
What is seventeen quarters of a litre in millilitres?
4250
How many seconds are there in 2/15 of a week?
80640
How many nanograms are there in 54550.53 kilograms?
54550530000000000
How many centimeters are there in 5/8 of a kilometer?
62500
What is 3/10 of a kilogram in grams?
300
What is 699230.3km in micrometers?
699230300000000
What is nineteen quarters of a kilometer in meters?
4750
How many milliseconds are there in 9/25 of a second?
360
How many microseconds are there in fifty-five halves of a millisecond?
27500
How many months are there in five sixths of a millennium?
10000
What is one quarter of a day in hours?
6
Convert 8372140.56 seconds to weeks.
13.842825
Convert 3.674126l to millilitres.
3674.126
How many millilitres are there in 7/4 of a litre?
1750
What is 54.1339 weeks in days?
378.9373
How many micrograms are there in 13/4 of a milligram?
3250
How many nanograms are there in 598.4226 kilograms?
598422600000000
How many kilograms are there in 749031.8g?
749.0318
What is 27/2 of a litre in millilitres?
13500
What is three eighths of a kilometer in meters?
375
What is 1/5 of a litre in millilitres?
200
Convert 12.30717 hours to milliseconds.
44305812
How many kilometers are there in 703.3081 micrometers?
0.0000007033081
What is 3/10 of a minute in milliseconds?
18000
What is 78974.79 micrometers in meters?
0.07897479
What is thirty-seven halves of a gram in milligrams?
18500
How many decades are there in 19/10 of a century?
19
What is 40.7886 years in decades?
4.07886
How many millilitres are there in 7/4 of a litre?
1750
Convert 9228.424 decades to centuries.
922.8424
How many kilometers are there in 0.430497cm?
0.00000430497
What is eighteen fifths of a litre in millilitres?
3600
What is 33/5 of a millennium in years?
6600
What is twenty-one halves of a litre in millilitres?
10500
What is 3/10 of a litre in millilitres?
300
Convert 0.0103658 years to decades.
0.00103658
How many milligrams are there in 990191.7 grams?
990191700
How many months are there in 8/3 of a decade?
320
What is three fifths of a minute in seconds?
36
How many decades are there in 8625.559 centuries?
86255.59
What is 6/5 of a micrometer in nanometers?
1200
How many litres are there in 445.6835 millilitres?
0.4456835
How many millilitres are there in 13/8 of a litre?
1625
How many kilograms are there in six fifths of a tonne?
1200
What is seventeen halves of a century in years?
850
What is seventeen quarters of a tonne in kilograms?
4250
How many milligrams are there in twenty-nine fifths of a gram?
5800
How many nanometers are there in 9239.54 centimeters?
92395400000
What is 7019.987 tonnes in milligrams?
7019987000000
How many days are there in 1.5210423us?
0.00000000001760465625
What is 3/8 of a centimeter in micrometers?
3750
What is seven halves of a millennium in years?
3500
What is 3/25 of a kilogram in grams?
120
What is 3/40 of a gram in micrograms?
75000
What is 966.6714 nanoseconds in seconds?
0.0000009666714
How many millilitres are there in eighteen fifths of a litre?
3600
What is 19750.3ml in litres?
19.7503
What is two fifteenths of a minute in milliseconds?
8000
What is 16.69141 litres in millilitres?
16691.41
Convert 0.179405 years to centuries.
0.00179405
What is 1/20 of a millisecond in microseconds?
50
What is eighteen fifths of a litre in millilitres?
3600
How many centimeters are there in 2.49743m?
249.743
What is 13.793493 months in millennia?
0.00114945775
What is 3/25 of a gram in milligrams?
120
Convert 634847.6kg to milligrams.
634847600000
How many micrometers are there in 7/2 of a millimeter?
3500
What is 906731.1 weeks in hours?
152330824.8
What is 0.9510537 years in decades?
0.09510537
How many millimeters are there in 0.1292723 kilometers?
129272.3
What is thirty-four fifths of a kilogram in grams?
6800
How many years are there in 6.99379 centuries?
699.379
How many micrometers are there in 3/8 of a centimeter?
3750
How many millilitres are there in one tenth of a litre?
100
How many minutes are there in one quarter of a week?
2520
What is 27/4 of a micrometer in nanometers?
6750
How many nanograms are there in 359718.2mg?
359718200000
What is one tenth of a milligram in micrograms?
100
How many millennia are there in 17118.015 months?
1.42650125
How many millennia are there in 2046.707 years?
2.046707
Convert 0.3913162 decades to centuries.
0.03913162
How many minutes are there in three fifths of a hour?
36
How many kilograms are there in twenty-seven quarters of a tonne?
6750
What is 3/50 of a kilometer in centimeters?
6000
What is 567604.2 centuries in months?
681125040
What is six fifths of a millennium in decades?
120
How many millilitres are there in 666264.5l?
666264500
Convert 22.318824 months to decades.
0.1859902
What is 21/4 of a century in years?
525
Convert 165818.1 decades to centuries.
16581.81
What is twenty-one quarters of a litre in millilitres?
5250
How many centuries are there in 7/2 of a millennium?
35
How many millilitres are there in three fifths of a litre?
600
What is 3/10 of a litre in millilitres?
300
What is 27/5 of a decade in years?
54
Convert 0.101285um to millimeters.
0.000101285
What is three tenths of a microsecond in nanoseconds?
300
What is 675679.3cm in millimeters?
6756793
How many milliseconds are there in seventeen quarters of a second?
4250
How many kilograms are there in eleven eighths of a tonne?
1375
Convert 31.52333 millilitres to litres.
0.03152333
How many meters are there in 4512.39km?
4512390
Convert 670126.1mg to micrograms.
670126100
How many millilitres are there in fou
|
{
"pile_set_name": "DM Mathematics"
}
|
s picked without replacement from {f: 3, x: 2, o: 12, t: 3}. Give prob of sequence foxf.
2/1615
Calculate prob of sequence nl when two letters picked without replacement from aqaalnoaqblbnn.
3/91
What is prob of sequence xvx when three letters picked without replacement from vupxuxafxfvv?
3/220
What is prob of sequence ngw when three letters picked without replacement from {x: 3, g: 9, n: 4, w: 2}?
1/68
What is prob of sequence wd when two letters picked without replacement from uwdrydrvv?
1/36
Calculate prob of sequence dmy when three letters picked without replacement from {d: 2, m: 7, l: 1, t: 3, y: 1}.
1/156
Four letters picked without replacement from {e: 3, v: 1}. Give prob of sequence veee.
1/4
Four letters picked without replacement from {n: 10, d: 4}. What is prob of sequence nddn?
45/1001
Two letters picked without replacement from {x: 6}. What is prob of sequence xx?
1
Calculate prob of sequence lloo when four letters picked without replacement from {o: 2, p: 2, g: 2, i: 2, l: 3, j: 1}.
1/990
Two letters picked without replacement from qyqqquqhoqqqey. What is prob of sequence oy?
1/91
Three letters picked without replacement from rrqrrrrrqqq. What is prob of sequence qqr?
14/165
Calculate prob of sequence pt when two letters picked without replacement from {p: 3, b: 1, y: 5, t: 1}.
1/30
Calculate prob of sequence ooaz when four letters picked without replacement from afzozzoofooo.
1/132
Two letters picked without replacement from {e: 3, u: 3, g: 3, b: 4}. What is prob of sequence bb?
1/13
Two letters picked without replacement from ntn. What is prob of sequence nt?
1/3
What is prob of sequence vom when three letters picked without replacement from oaaaomaavmmammaamo?
1/272
What is prob of sequence cfo when three letters picked without replacement from {o: 3, c: 1, h: 2, s: 1, f: 3}?
1/80
What is prob of sequence vppn when four letters picked without replacement from {p: 7, v: 1, m: 1, n: 10}?
35/7752
Three letters picked without replacement from uouuoju. Give prob of sequence ujo.
4/105
Calculate prob of sequence kki when three letters picked without replacement from jqqdjkpdiqjikpkk.
1/140
Calculate prob of sequence vtx when three letters picked without replacement from llvxtlelx.
1/252
What is prob of sequence sg when two letters picked without replacement from {s: 1, j: 3, g: 3}?
1/14
Two letters picked without replacement from kykyy. What is prob of sequence ky?
3/10
What is prob of sequence br when two letters picked without replacement from {y: 3, b: 6, t: 1, r: 1, w: 2, v: 2}?
1/35
What is prob of sequence oayy when four letters picked without replacement from {a: 4, o: 5, v: 4, y: 2, q: 1}?
1/1092
Calculate prob of sequence qx when two letters picked without replacement from xcqzxxxvvzzxvvoqvzz.
5/171
Three letters picked without replacement from {m: 1, c: 3, k: 1, j: 2, d: 1, f: 4}. What is prob of sequence ccm?
1/220
Calculate prob of sequence luwy when four letters picked without replacement from {l: 13, u: 1, q: 1, y: 2, w: 3}.
13/19380
Two letters picked without replacement from {v: 1, k: 2, o: 3, l: 1}. What is prob of sequence oo?
1/7
What is prob of sequence nban when four letters picked without replacement from nbsnpnnbppapab?
3/1001
What is prob of sequence fuu when three letters picked without replacement from pprufppprfufurfppuu?
40/2907
Calculate prob of sequence rbj when three letters picked without replacement from bjjrrjjrjr.
1/36
What is prob of sequence azzz when four letters picked without replacement from {z: 3, a: 3, p: 2}?
3/280
What is prob of sequence tt when two letters picked without replacement from hhrrrrtrthrth?
1/26
What is prob of sequence mh when two letters picked without replacement from hmhheeeeeehmheeeh?
3/68
Calculate prob of sequence kk when two letters picked without replacement from {k: 5, d: 2, s: 7}.
10/91
Three letters picked without replacement from wfuivvd. Give prob of sequence duv.
1/105
Three letters picked without replacement from xpoqpxspxqx. Give prob of sequence qqs.
1/495
Two letters picked without replacement from {k: 5, i: 8}. What is prob of sequence ki?
10/39
Three letters picked without replacement from {i: 5, x: 1, v: 1, f: 3, o: 1}. What is prob of sequence vof?
1/330
Four letters picked without replacement from {n: 3, b: 4, l: 2, f: 2, s: 3, w: 1}. Give prob of sequence wbnl.
1/1365
Two letters picked without replacement from rururwwwrwguquw. Give prob of sequence uu.
2/35
Calculate prob of sequence tt when two letters picked without replacement from {v: 3, p: 8, t: 5}.
1/12
Calculate prob of sequence gt when two letters picked without replacement from mmmggmgmty.
1/30
What is prob of sequence og when two letters picked without replacement from {g: 5, n: 3, o: 5, v: 1, r: 5, s: 1}?
5/76
Three letters picked without replacement from pnrennnzzrnae. What is prob of sequence rap?
1/858
What is prob of sequence cyr when three letters picked without replacement from {c: 1, y: 1, r: 1}?
1/6
Three letters picked without replacement from {l: 2, m: 2, p: 5}. What is prob of sequence pmp?
5/63
What is prob of sequence dhmd when four letters picked without replacement from ddngmgmnmmmhdhhlnnm?
3/2584
Two letters picked without replacement from iiiifviiiviffiigggi. Give prob of sequence vg.
1/57
What is prob of sequence iiv when three letters picked without replacement from {i: 9, v: 7}?
3/20
What is prob of sequence xxu when three letters picked without replacement from xuuuxxuxuxupuxuxxp?
14/153
What is prob of sequence rw when two letters picked without replacement from {b: 6, r: 5, k: 1, z: 3, j: 4, w: 1}?
1/76
Two letters picked without replacement from gigdiggdidddgdidg. Give prob of sequence gd.
21/136
What is prob of sequence pai when three letters picked without replacement from wlkaipik?
1/168
Calculate prob of sequence pp when two letters picked without replacement from pbnpb.
1/10
What is prob of sequence ccc when three letters picked without replacement from ccccckckccccc?
15/26
Three letters picked without replacement from vkvvvvvvvvvvv. What is prob of sequence vvk?
1/13
Two letters picked without replacement from {f: 2, l: 2, j: 1}. Give prob of sequence fl.
1/5
Three letters picked without replacement from {b: 1, h: 1, i: 12}. Give prob of sequence ibi.
11/182
Three letters picked without replacement from ttxalxlxxtxxlxttxt. What is prob of sequence tll?
1/136
Two letters picked without replacement from sdapdddsddpys. Give prob of sequence sp.
1/26
Calculate prob of sequence oz when two letters picked without replacement from {e: 4, z: 1, o: 4, q: 4, m: 1, i: 5}.
2/171
What is prob of sequence ggd when three letters picked without replacement from gggggkbdkkgkkddd?
1/28
Calculate prob of sequence mziz when four letters picked without replacement from izmizh.
1/90
Four letters picked without replacement from {a: 4, o: 10}. What is prob of sequence ooao?
120/1001
Three letters picked without replacement from wwzlvvwpwvwjl. What is prob of sequence wlp?
5/858
Four letters picked without replacement from {e: 10, a: 2, b: 7, z: 1}. What is prob of sequence zabe?
7/5814
Three letters picked without replacement from pnnpnaknnnynpkapa. What is prob of sequence pky?
1/510
Calculate prob of sequence gq when two letters picked without replacement from {k: 2, q: 1, g: 5, i: 1}.
5/72
Calculate prob of sequence rjj when three letters picked without replacement from {a: 3, e: 1, c: 2, u: 1, r: 3, j: 2}.
1/220
Two letters picked without replacement from {m: 3}. Give prob of sequence mm.
1
Calculate prob of sequence ni when two letters picked without replacement from gligiinligggn.
2/39
Calculate prob of sequence jo when two letters picked without replacement from oxxjo.
1/10
Calculate prob of sequence fffl when four letters picked without replacement from ofoffofofoflolfffo.
7/510
Two letters picked without replacement from {f: 7}. What is prob of sequence ff?
1
Calculate prob of sequence ssss when four letters picked without replacement from {s: 10}.
1
What is prob of sequence cyyy when four letters picked without replacement from kyoooyooccoyycpo?
3/1820
What is prob of sequence jjee when four letters picked without replacement from {j: 2, k: 8, e: 8}?
7/4590
What is pr
|
{
"pile_set_name": "DM Mathematics"
}
|
*m - o = -3*m + 5*g for m.
-4
Suppose h = 5*h - 12. Suppose 2*g - 7*b + 4*b = 15, 10 = -4*g - 2*b. Solve h*l + 3*r = -g*l, 4*l - 5*r - 18 = 0 for l.
2
Suppose -3*x + 7 = -11. Let r be x/4*224/(-42). Let p = r - -23. Solve -5*j - p = 5*i, i = -j + 2*i + 5 for j.
1
Let s(u) be the second derivative of u**3/6 - 9*u**2/2 + 7*u. Let j be -3*(11/3)/(-1). Let c be s(j). Solve 5 = -c*i + 3*h - 2*h, 5*i + 2*h + 35 = 0 for i.
-5
Let i be (2/(-7))/((-6)/84). Suppose -i*v = 4*p - 20, -2*p - 5*v = 2*p - 22. Solve -3*r + 24 = -2*w - w, 21 = -p*w + 2*r for w.
-5
Let t(h) = -h**3 - 8*h**2 - 8*h - 52. Let w be t(-8). Solve 0 = -3*s - 4*f + 5, 5 = 4*s - 5*f - w for s.
3
Suppose -u + 4*u = 3*z + 210, -u + 2*z + 71 = 0. Suppose 0 = -2*n + u - 19. Let v be ((-6)/(-10))/((-1)/(-5)). Solve -2*g - 12 = -g - 2*p, v*p = 5*g + n for g.
-2
Suppose -3*v - 2 = -2*j + 2, 2 = j + 2*v. Solve f = -2*f + t - 10, j*f - 2*t = 0 for f.
-5
Let h = -10 + -55. Let a = 66 + h. Solve -k - 2*k + 11 = -4*s, -2*s = -3*k + a for k.
-3
Let d be 0/((-28)/12 + 1/3). Suppose d = 4*n - 25 - 11. Solve 0 = 4*k + 2*l - n - 3, 0 = 3*k + 4*l + 1 for k.
5
Let n(a) = -4*a + 5*a**2 + 6*a**2 + 5*a. Let x be n(1). Suppose -5*u + 17 = -3. Solve -5*o - u*w = 26, w = 2*o - 3*w - x for o.
-2
Suppose -2*z - 4*w = 28, w + 10 = -4*z - 18. Let c = 69 - 49. Let v be (6/(-5))/(z/c). Solve v*m - n = -2, 3*m = -2*n + 6*n - 8 for m.
0
Let f be ((-3)/(-6))/((-1)/16). Let h be (f/(-10))/(4/10). Suppose -3*n + 32 = 23. Solve n*g - 36 = -5*u + 7*g, -5*g - 28 = -h*u for u.
4
Let j(l) = -l**3 - 12*l**2 - 14*l + 3. Let a be j(-9). Let d = -110 - a. Solve -d*t + 8 = 2*x - 2, -3*t = -2*x + 3 for x.
3
Let y = -47 + 46. Let q be (2*-1)/(25/(-15) - y). Solve -j + 5*n + 28 = 0, q*n = 2*j - 27 + 6 for j.
3
Let g be -4*(-5)/(-4)*-1. Suppose h - 3 - 5 = 0. Suppose 0 = h*d - 30 - 2. Solve -2*y + 6 = b + g, 0 = d*y + 4*b for y.
1
Suppose 5*k + 113 = 133. Solve -k*d - 24 = 2*v, -2*v - 8 = -3*d + 3*v for d.
-4
Let a(s) = -s**3 + 7*s**2 + 29*s + 10. Let w be 80/(-12)*(-9)/6. Let u be a(w). Solve 5*d + 37 = 3*k, -3*d + u*k - 5*k + 5 = 0 for d.
-5
Let b be (2/(-2))/(6*(-4)/24). Solve b = q, 5*q - 14 = -5*a + 16 for a.
5
Let m = 35 + -18. Let t = m - 14. Suppose -57 = -q - 2*q. Solve t*u + 3*y = 6, 4*y = 3*u - 1 - q for u.
4
Suppose -p + 5 = -4*o, -2*p + 5*p = -2*o + 29. Suppose -p*d - 2 = -20. Solve 12 = 4*y, 5*w + 2*y + d = 3 for w.
-1
Suppose -3*f + 8 = -z, -5*z + 3*f = -2*f. Suppose 0 = 3*x - x - 18. Suppose z*c + p = x, 2*c - 4*c = -3*p - 1. Solve 2*v + 8 = -y, -8 = c*v - 5*y - 0 for v.
-4
Let g(t) = -2*t - 4. Let c = 9 - 12. Let u be g(c). Suppose -d - 16 = 4*h, 2*h - 6*h = -u*d + 28. Solve d*z - 2*b = -2, -z + 4*b = -3*z - 26 for z.
-3
Suppose 0 = 4*z + 27*c - 28*c - 6, 2*z = 4*c - 4. Solve -8 = -z*l - l + 5*m, 2*l + m - 1 = 0 for l.
1
Let m = -2380 + 2384. Solve 3*q - 7 = m*l - 19, 3*l - 9 = -2*q for q.
0
Suppose -2*c = -u - 13, 2*c - 15 = u - 2*u. Solve 2*v = -5*g + c, -g - v = -2 + 3 for g.
3
Let f(o) = -o**3 - 9*o**2 + 3. Let a be f(-9). Suppose 2 = -a*z - r, 3*r - 6 = 5*z + 4*r. Let d be 0*z*1/2. Solve -2*g + 3*c = 0, g + 2*c + c = d for g.
0
Let c(y) = -y**3 + 9*y**2 - 7*y + 11. Let p be c(8). Let j = 483 - 483. Solve -a - 10 = 5*w, -2*a + p = -3*w - j*a for w.
-3
Let f be 2 + (-8)/(-2) - 3. Suppose 7*y = 2*y - 4*k - 4, 0 = -5*y - 2*k - 2. Let l = y - -3. Solve -2*q + 2 = -3*z, -f*q - q + l*z = 8 for q.
-5
Let q(y) = 0*y + 0*y - 2 + 3*y + 9*y**3 - y**2. Let g be q(1). Solve 3*h + 6 = -g, 4*h = 4*l for l.
-5
Let q(h) = -3*h - 13. Let k be q(-6). Suppose -5*l - d + k = -0*l, 0 = -l - 4*d - 18. Solve -5*s + 0*s + 33 = l*x, -3*x + 3*s = 3 for x.
4
Suppose -x - 4*r + 108 = 19, -3*r = 2*x - 153. Let j = x + -64. Let f(i) = -i**2 + 6*i + 3. Let h be f(6). Solve 0 = 2*y - j*g - 25, 2*y - h*g = -y + 24 for y.
5
Let q = 75 + -70. Solve 0 = -4*i + i - 4*w - 8, -i = q*w - 1 for i.
-4
Let a(u) = u**2 + 8*u + 15. Let b be a(-2). Suppose -q - 5 = -2*f, 0 = b*f - 0*f - 4*q - 5. Solve 3*m - 4*m - f = 5*p, 0 = -4*p + m - 6 for p.
-1
Let m(c) = -c**3 + 9*c**2 - c + 6. Let w be m(9). Let h be w - -5 - (3 + -3). Solve 18 = -3*i + o, 0 = h*i + 3*i - 2*o + 31 for i.
-5
Let j be (-22)/11 - 2*-2. Suppose 4*i + 5*m - 40 = 0, -j*m + 6*m = -3*i + 31. Solve -8*t + f = -i*t, 3*t + f = 6 for t.
1
Let o(j) = -16*j + 67. Let a be o(4). Solve 5*b + 0*b = -a*g + 9, -3*b = 3*g - 3 for b.
3
Suppose -2*u = -u - 2. Suppose 2*q = -v - 27, -2*q - 4*v = -3*q. Let a be (-12)/18 - 7*20/q. Solve -u*o + 5*g = a, 0 = -3*g - 4 + 7 for o.
-3
Suppose 41*r + 6*r - 376 = 0. Solve -v + 0*v = -3*y - 2, -2*y - r = v for v.
-4
Let j be 6 - 2 - (19 - -2). Let z = -27 - j. Let u(k) = -2*k - 15. Let g be u(z). Solve g*l + 3*v + 13 = 0, -9 = 2*l - v + 5 for l.
-5
Let z be (0 - (-4)/12)*276. Let k = z - 91. Solve g + k = -2*g - 4*d, -3*d + 9 = -g for g.
-3
Let q be 468/130 - 2/(-5). Solve 3*f = q*s, 2*f = 2 - 10 for s.
-3
Suppose 0 = -l + 3*j - 1, 39 = 3*l + j + 4*j. Solve -16 = -3*x + 4*b, 2*b = 8*x - 4*x - l for x.
0
Let p = -1 + 1. Suppose 5*d + 27 = 5*o + 7, p = -o + 4. Suppose -5*t = -d*t - 15. Solve -30 = t*n - 3*m, 0*n = n - 2*m + 15 for n.
-5
Suppose y = -2*y + 12. Suppose 6*i + 15 = -l + i, -4*l + 36 = -y*i. Solve -m - 23 = -0*u + l*u, 2*m + 21 = -5*u for m.
2
Let z = -3 + 7. Suppose 2*q + 68 = 2*o, -5*q + o - 35 = 143. Let v be q/8*4/(-3). Solve -z*u - 5*j + 16 = 0, -4*u = -5*j + 18 + v for u.
-1
Let h = 205 - 203. Solve 4 = -2*i + 4*k, -h*i - 2 = -k + 2 for i.
-2
Suppose 3*y - 2*y - 14 = 0. Suppose -5*k - 2 = -3*r - 6, -y = -2*r - 5*k. Solve 0 = -r*c - 3*d + 5*d - 12, 3*d - 3 = -2*c for c.
-3
Let q(i) = 2*i**2 - 2*i + 4. Let x be q(0). Solve 0 = 5*f - 4*t - 19 + 1, -f - x*t - 6 = 0 for f.
2
Suppose 0 = -5*f + 3*s + 57 - 16, -3*f + s = -27. Solve -4*a + h + 11 = 0, -4*a + 4 = 2*h - f for a.
3
Let x be (-5)/40 + 15/120. Solve 4*u + 12 = x, m + 4*u = 6 - 18 for m.
0
Let o = 1 - -2. Suppose -4 - 36 = -5*r. Suppose -o + r = j. Solve j = -2*x + 3*x, -2*x = -3*l - 13 for l.
-1
Suppose 2*s - s = 2*w + 4, -4*w = 3*s - 12. Suppose d + v = -3*d + 40, -d + 5*v + 10 = w. Solve -2*y + 4*q + q + d = 0, -2*y + 2 = -q for y.
0
Suppose -43 - 133 = 4*n. Let a = -24 - n. Solve -3*t - 7 = -3*s - 2*s, -4*s - a = 4*t for t.
-4
Let a(u) = 35*u - 556. Let v be a(16). Solve 4*w + v*k = 3*k - 18, w + 2*k + 8 = 0 for w.
-4
Suppose h - 2*h = -1. Let w(a) = 5*a**2 - 1. Let v be w(h). Let f(r) = 2*r - 4. Let k be f(v). Solve 7*l + 7 = -3*j + 3*l, -5*j = -k*l - 31 for j.
3
Suppose 4*q - 4 = 2*q. Let g = 5 - 2. Suppose -3 = -t + g. Solve -t*v + 25 = -2*v - i, -q*v - 5 = 3*i for v.
5
Let z(k) = 3*k + 0*k**3 + 3*k**3 + 1 - 2*k**3 + 0*k + 4*k**2. Suppose -11*q + 7*q - 8 = 0. Let u be z(q). Solve 11 = -4*y + 5*x, -u*y + 5*x - 12 = -0*x for y.
1
Let l be 0/(0 + 4) - -24. Let g be 40/(-6)*9/(-12). Solve 3*p - g*u = l + 1, 5 = 5*p - u for p.
0
Suppose -2*y + 11 = 5*w, 2*y - 4*w = -18 + 56. Solve 10*h = y*h + 4*s - 32, -4*h + 6 = -2*s for h.
4
Let o be 49/10 - (-144)/1440. Solve -2*w + 12 = o*p, 2*p + 3*w + 8 = p for p.
4
Suppose -10*a + 7*a = -162. Let g = -54 + a. Solve -3*r + 5*l - 1 = g, 2*r + 0*r = 5*l + 1 for r.
-2
Suppose 10 + 0 = 5*s. Suppose -2*g + 7 = 5. Suppose 2*p = g + 5. Solve -5*n + 18 = -0*r - s*r, p*n + 2*r = -2 for n.
2
Let q(x) = -x**3 - 8*x**2 + 10*x + 6. Let a be q(-9). Let r = a - 1. Let d be 2/1*(-4)/r. Solve j - h - 10 = -1, -3*j + d = 2*h for j.
4
Let n = -94 + 124. Let g(l) = -l**3 + 4*l**2 - 5*l. Let j be g(4). Let a = j + n. Solve -3*s - 3*k + 25 = 2*k, a = 5*s + 2*k for s.
0
Suppose -4 - 22 = -13*j. Solve 0 = 4*i - y - 21, 2*y = -j*i - 1 + 9 for i.
5
Let b = 457 - 454. Solve -b*t + 5*l = -29 + 3, -5*t + 5*l = -30 for t.
2
Suppose 30*q = 32*q - 46. Suppose -g - 5*d + 5 = -4*d, 4*g = -5*d + q. Solve 0 = z + 2*l + 3, l - 3*l - 2 = g*z for z.
1
Suppose 18*w - 23*w = -z - 75, 0 = -5*w + 5*z + 95. Solve 0 = -4*d - 0*d - 3*y - 20, 0 = -3*d - 2*y - w for d.
-2
Let q(r) = -r**2 + 8*r. Let h be q(7). Let t = h + 0. Let f be (-10)/(-6)*21/t. Solve 3*n - 3 = -3*x, n - 10 = f*x + 3*n for x.
-4
Let w(y) = y**2 - 8*y + 8. Let p = 8 - 5. Suppose p*d = d + 20. Let a be w(d). Solve 4*q - a = -4*j, -3*j = 2*q + j - 18 for q.
5
Let d(a) = -a**2 + a. Let w be d(-3). Let b = -10 - w. Solve 2*t - 12 = -2*z
|
{
"pile_set_name": "DM Mathematics"
}
|
5 - 84*o**2 - 44*o**2 wrt o.
40*o**3 - 386
Let w(f) = 152*f**3 - 22*f**2 - 10*f + 42. Suppose 4 = 2*n - 16. Let z(t) = 2*t**2 + t. Let l(s) = n*z(s) + w(s). What is the third derivative of l(d) wrt d?
912
Suppose k - 22 = 42. What is the third derivative of -p - 55*p**5 + 139*p**5 - 20*p**2 - k*p**5 + 2*p**3 wrt p?
1200*p**2 + 12
Let m(i) be the third derivative of 13/105*i**7 + 0 - 3*i**3 + 0*i**4 + 68*i**2 + 0*i - 1/120*i**6 + 0*i**5. Find the first derivative of m(t) wrt t.
104*t**3 - 3*t**2
Let n(w) be the third derivative of -961*w**6/40 + 623*w**4/6 - 26*w**2 + w + 88. Find the second derivative of n(g) wrt g.
-17298*g
Let a(c) be the third derivative of -1789*c**6/120 - 17*c**5/15 - 5*c**4/8 + 1446*c**2. What is the third derivative of a(u) wrt u?
-10734
Find the first derivative of -862*m**2 + 1044 - 740*m**2 - 376*m**2 + 797*m**2 wrt m.
-2362*m
Let y(k) = -11 + 2 - 11 + 2*k**2 - 166*k + 1 - 27. Let n(a) = -3*a**2 + 330*a + 93. Let r(p) = -3*n(p) - 5*y(p). Differentiate r(b) with respect to b.
-2*b - 160
Let q(z) be the third derivative of z**8/336 - 23*z**6/40 - z**5/60 + z**4/24 + 275*z**3/6 - 6027*z**2. What is the second derivative of q(n) wrt n?
20*n**3 - 414*n - 2
Let d(t) be the second derivative of -999*t**5/10 - 3649*t**2/2 + 3775*t. What is the derivative of d(q) wrt q?
-5994*q**2
Suppose -41 = p + 42. Let i = p - -115. What is the derivative of -48 - i + 103 - 36*m**2 wrt m?
-72*m
Let w be 40/20*2*9. Find the third derivative of w*r**2 + 82*r**2 - 31*r**3 - 106*r**3 wrt r.
-822
Let g be 21 + 2/(((-6)/(-9))/1). Suppose -k = g - 26. Find the third derivative of 4763 - m**k - 4763 + 9*m**5 + 26*m**2 wrt m.
540*m**2
Let v(a) = 19460*a**3 + 8739*a**2 - 13*a + 13. Let l(o) = 3243*o**3 + 1456*o**2 - 2*o + 2. Let p(c) = 13*l(c) - 2*v(c). Find the third derivative of p(j) wrt j.
19434
Let r(q) = -2*q**2 - 2*q + 2. Let k(z) = 3765*z**2 - 14*z + 3576. Let l(h) = -2*k(h) + 14*r(h). What is the derivative of l(n) wrt n?
-15116*n
Let c(x) = -x**2 + 8. Let h(p) = 6808*p**2 - 6050*p - 48. Let z(b) = 6*c(b) + h(b). Find the second derivative of z(d) wrt d.
13604
Let p(v) = v**2 - 12*v + 32. Let u be p(3). What is the second derivative of -u*b**2 + 0 - 8*b - 3*b**2 + 2 + 0 wrt b?
-16
Let h(w) be the third derivative of -41*w**7/210 + 409*w**3 - 1192*w**2. What is the derivative of h(s) wrt s?
-164*s**3
Let h(c) be the third derivative of 397*c**5/20 + 671*c**3/6 - 923*c**2. Differentiate h(g) wrt g.
2382*g
Let o(d) be the first derivative of 7*d**2 + 218 - 5/3*d**3 - 240*d. What is the first derivative of o(k) wrt k?
-10*k + 14
Let g = 290 - 284. Let d(h) be the third derivative of 0*h**5 + 0*h + 19*h**2 + 0*h**4 - 1/12*h**g + 8/3*h**3 + 0. Find the first derivative of d(l) wrt l.
-30*l**2
Find the third derivative of -1744*r**2 - 4044*r**6 + 2*r - 3*r + 466*r**2 - 446*r**2 wrt r.
-485280*r**3
Let v = 63 + 19. Suppose -v = -5*l - 3*n + 43, -4*l - n = -100. Differentiate -7*c**4 - 3*c**2 + 3*c**2 + l + 0*c**2 wrt c.
-28*c**3
Let m be (2/3)/(-3*4/(-36)). Find the third derivative of -276 + 141 + 78*f**3 + 135 - 27*f**3 - 107*f**m wrt f.
306
Let t(y) be the first derivative of -y**5/5 - 267*y**4/4 - y**3 + 8405*y**2/2 - 6135. What is the second derivative of t(s) wrt s?
-12*s**2 - 1602*s - 6
Let j = 1 + 5. Suppose -4*o - 52 = -4*x, -4*x + j*o - 4*o + 48 = 0. What is the first derivative of -5*s + 0*s - 10 + 5*s - x*s**3 wrt s?
-33*s**2
Let h = -129 - -134. Let l(i) = 9*i**2 - i + 1. Let c be l(1). Find the third derivative of g**2 - c*g**3 - 5*g**2 + h*g**3 - 4*g**3 wrt g.
-48
What is the second derivative of 439240 + 44*f + 16*f**2 - 6*f**2 - 439299 + 2*f**3 - 19*f**4 wrt f?
-228*f**2 + 12*f + 20
Let p(z) = -2*z**3 + z**2 - 2. Let q(f) = f + 21*f**2 - 1 + f**3 + 16*f**2 - 38*f**2 + 0. Let c(l) = p(l) - 2*q(l). Find the third derivative of c(m) wrt m.
-24
What is the second derivative of 159*n + 217*n - 928*n**3 - 886*n - 674*n - 42*n wrt n?
-5568*n
Find the third derivative of 496*h**4 - 230 + 982*h**4 - 469*h**4 - 3*h**2 + 2*h**2 wrt h.
24216*h
Let z(g) = 5*g**2 - 2. Let v = -56 - -58. Let r be z(v). What is the derivative of -30*p - 6*p + 4 + r*p wrt p?
-18
Let w(t) = -127*t**3 - 1536*t**2 + 56*t - 49044. Let i(j) = -26*j**3 - 307*j**2 + 12*j - 9809. Let m(l) = -14*i(l) + 3*w(l). Differentiate m(q) wrt q.
-51*q**2 - 620*q
Let t(m) = -44*m**2 + 2*m - 1. Let k(x) = -11*x**4 - 65*x**3 - 132*x**2 + 3296*x - 3. Let o(b) = k(b) - 3*t(b). What is the second derivative of o(j) wrt j?
-132*j**2 - 390*j
Let t(p) be the first derivative of 2002*p**5/5 - 1634*p**3/3 - 279. Find the third derivative of t(z) wrt z.
48048*z
Let z = -438 + 469. What is the first derivative of 25*t - 4 + 6*t - z + 20 + 2*t wrt t?
33
Let o(w) = -w**2 + 22*w - 44. Let v be o(8). Suppose -3*a + 32 = -76. What is the derivative of a - v + 45 + 23*i wrt i?
23
Let h(y) = 90*y**3 + 164*y**2 + 11867*y - 36. Let o(w) = 22*w**3 + 41*w**2 + 2967*w - 8. Let q(s) = -2*h(s) + 9*o(s). Find the second derivative of q(z) wrt z.
108*z + 82
Let n(u) = 265*u**2 + 7*u - 2169. Let g(v) = 133*v**2 + 3*v - 1083. Let d(p) = -5*g(p) + 3*n(p). What is the first derivative of d(x) wrt x?
260*x + 6
Differentiate 3308 + 416*w - 310*w + 416*w + 246*w + 183*w wrt w.
951
What is the first derivative of 124*z**2 - 126*z**2 - 65*z - 6700 - 151*z + 62*z - z**3 wrt z?
-3*z**2 - 4*z - 154
Suppose 76 = 21*i - 2*i. Differentiate -16 - 4 + 661*x**i - 787*x**4 wrt x.
-504*x**3
Let d(b) = -10797*b**2 + 6*b + 4294. Let w(h) = -16196*h**2 + 10*h + 6440. Let x(v) = 8*d(v) - 5*w(v). Find the second derivative of x(l) wrt l.
-10792
Find the third derivative of -1778*y**2 + 357*y**4 + 215*y**2 - 2252*y**2 + 2*y**5 + 33*y**4 wrt y.
120*y**2 + 9360*y
Suppose 16*r - 12*r - 232 = 0. Find the second derivative of r*s**3 + 1352*s - 2 + 2 - 1371*s wrt s.
348*s
Let a be (-7 + -5 + 13 + -1)/(-5). Let i(u) be the first derivative of 7/4*u**4 + a*u**3 + 0*u - 2*u**2 - 12. Find the second derivative of i(k) wrt k.
42*k
Let q(i) = -5*i - 14. Suppose 0 = 3*n - 2*t + 22, -4*n + 0*t - 3*t = 1. Let o be q(n). Find the third derivative of 12*g**2 + 11*g**6 + 14*g**o - 14*g**2 wrt g.
3000*g**3
Let t(c) be the first derivative of -2*c**2 - 2*c + 10. Let r be t(-2). Differentiate -r*z - 12 + 19 - 12 wrt z.
-6
Let d(w) = 13 + 15*w**2 - 9*w**3 - 24 + 25*w + 10*w**3. Let s be d(-13). What is the third derivative of 38*b**3 - 5*b**2 - 2*b**2 - 10*b**s wrt b?
228
Find the first derivative of -141*p + 384*p - 1192*p - 868 - 2183*p wrt p.
-3132
Suppose 5*c + 64 = s + 86, 14 = 5*c + 3*s. Find the second derivative of 1 + g**c + 87*g + 36*g**2 - 427*g**3 + 427*g**3 wrt g.
12*g**2 + 72
Let w(o) be the third derivative of 0 - 71/6*o**3 + 23/6*o**5 - 81*o**2 - 2*o - 1/24*o**4. Find the second derivative of w(q) wrt q.
460
Let c(s) be the third derivative of 47*s**7/210 - 4687*s**3/6 - 744*s**2. Differentiate c(v) wrt v.
188*v**3
Let t be (81/(-18))/(99/(-66)). Let i(a) be the second derivative of 0 - 31/2*a**2 + 29/6*a**t - 6*a. Differentiate i(o) with respect to o.
29
Let n(o) be the third derivative of -o**8/168 + o**7/105 - 91*o**6/40 - o**5/20 - 367*o**3/3 + 4489*o**2. What is the third derivative of n(v) wrt v?
-120*v**2 + 48*v - 1638
Let g(x) = x**3 + 5*x**2 - 4*x - 4. Let a be (7 + -9)*5/2. Let r be g(a). Differentiate 10*i - 1 + 14 + r*i with respect to i.
26
Let r be ((-19965)/(-9) - 1)*18/12. What is the first derivative of r + 5*a**2 - 3*a**4 - a**4 - 3295 wrt a?
-16*a**3 + 10*a
Let w(l) be the third derivative of l**8/336 + l**7/70 + 583*l**6/60 - l**5/30 + l**4/8 - 5*l**3 + 5*l**2 + 8. Find the third derivative of w(h) wrt h.
60*h**2 + 72*h + 6996
Find the third derivative of -103986*p**2 - 226*p**3 + 97830*p**2 - 2*p**4 - 12*p**3 wrt p.
-48*p - 1428
Let t = 164 + -76. Let j = t + -51. Find the third derivative of 37*s**3 - 7*s**2 - 6*s**4 - j*s**3 wrt s.
-144*s
Find the third derivative of f**2 - 17550*f**3 + 1517*f**4 + 52*f - 54 + 59 + 17551*f**3 wrt f.
36408*f + 6
Find the first derivative of 4903 - 503 - 2397*j - 2599*j wrt j.
-4996
Let r = 256 - 253. Find the second derivative of -12*j**2 + 146*j + 25*j + 1 - 3*j**r + j**3 - 36*j - 36*j**2 wrt j.
-12*j - 96
What is the third derivative of 0*a**2 + a**2 + 1070*a + 198*a - 4*a**3 + a*
|
{
"pile_set_name": "DM Mathematics"
}
|
- 1325*f for d.
0
Solve -10 = -3*q - 4*p - 2, -2*p + 4 = -9*q for q.
0
Solve 0 = -6*t + 5*d + 53, -2*d - 36 = 5*t - 111 for t.
13
Solve 3 = d + c, -4*d + 23 + 9 = 8*c for d.
-2
Solve -4*o - 16 = -58*w + 62*w, 0 = -3*w + 3*o + 18 for w.
1
Solve -2*y + 136 = -34*q, -5*q + 4*y + 39 - 59 = 0 for q.
-4
Solve 4*k - 20 = 0, -5*o = 5*k - 33 + 28 for o.
-4
Solve 0 = -5*i - 40, 2*k + 794*i - 792*i + 20 = 0 for k.
-2
Solve 5*a + 5 = -4*w + 7*w, w + 25 = -5*a for a.
-4
Solve -2656*j + 2659*j + 4*q = -37, -2*q = -2*j + 8 for j.
-3
Solve -83*k + 1 = -79*k + 5*u, 2*k - 3*u = 17 for k.
4
Solve 3213*i - 20 = 3209*i - 3*t, -5*i = -3*t - 52 for i.
8
Solve 0 = 1959*z - 1963*z + 3*m - 14, z = -4*m + 44 for z.
4
Solve -3*q + 3*w = 0, -3*q + w - 717 + 713 = -6*q for q.
1
Solve -4 - 6 = 5*u, -54*i - 372 = -2*u - 52 for i.
-6
Solve -104*n + 206*n - 100*n - 206 = 106*w, -4*w = 4*n + 20 for w.
-2
Solve -5*b - 5 = 0, 182*b - 186*b = 3*c - 0 - 5 for c.
3
Solve d - 4 = 0, 3*v = 7644*d - 7643*d - 4 for v.
0
Solve 0 = -334*i + 367*i - 2*v + 103, -v = -2*i - 8 for i.
-3
Solve -c + 197 = -16*g + 11*g + 177, -4*g + 3*c = 27 for g.
-3
Solve 111*a - 110*a = 4, -4*u + 18 + 18 = 2*a for u.
7
Solve -1161*d = -1165*d + 2*q - 18, -1 = q for d.
-5
Solve 8 = 4*p - 36*u + 40*u, 2 = -3*p - u for p.
-2
Solve -1 = 4*m - 7*w, 3*w - 9 = -5*m - 22 for m.
-2
Solve s - 3*b = -17, 4 + 1 = b for s.
-2
Solve 6025*h - 6024*h - 3 = 0, -21 = -2*x - 5*h for x.
3
Solve 0 = 2*u + 3*s + 236 - 238, 0 = 4*s - 16 for u.
-5
Solve 0 = -4*q + 14*n - 16*n + 12, 3*n = -3*q + 15 for q.
1
Solve 227*k - 15 = -2*w + 226*k, -2*w = -2*k - 30 for w.
10
Solve -3*f + 9*f - 14 = -4*w, -4*w = -f - 7 for w.
2
Solve -44*u = -q - 45*u, 0 = 4*u for q.
0
Solve 3*x = 4*n + 20 - 15 - 15, x + 62 = 16*n for n.
4
Solve 32 = -2*y - 3*j, y + 4*j = 3*j - 11 for y.
-1
Solve -9*s - 3*t + 25 + 12 = -5, 5*t = 3*s - 20 for s.
5
Solve -2*h - 776*q = -773*q + 7, h = -3*q - 11 for h.
4
Solve -t - 8 = 3*b - 11, -5*t = -5*b + 65 for t.
-9
Solve -5*m = 2*u - 16, u = -m - 170 + 172 for u.
-2
Solve 3*g = 3*z - 1119 + 1095, 5*g + 24 = z for z.
4
Solve -3*g - o = -1, 3*g = -4*o - 2568 + 2554 for g.
2
Solve -5*a + 15 = 2*l, 0*a - 15 = -5*a for l.
0
Solve 6*q = -3*c + 27, 131*q - 5*c - 39 = 129*q for q.
7
Solve -112 + 100 = -3*q, 0 = a - 3*q + 12 for a.
0
Solve -5*h - z - 119 + 163 = 0, 2*h - 5*z = 23 for h.
9
Solve 4*r + 78 = -3*p, -2*p - 3*r = -4*p - 35 for p.
-22
Solve 0 = d + 2*s + 9, 27 = 15*d - 18*d - 4*s for d.
-9
Solve -4*f + 5*r - 24 = -11 + 20, 3*f + 21 = 3*r for f.
-2
Solve -5*w - b = 13, 19 = -5*w + 155*b - 158*b for w.
-2
Solve 2*w - 4*j = -w - 12, -3*j - 3 = -5*w - 23 for w.
-4
Solve -8360 = 5*k + f - 8335, -10 = 2*k - f for k.
-5
Solve -11663*o - 85 = -5*m - 11661*o, 3*m - 4*o = 51 for m.
17
Solve 0 = -4*m + 4*u, 10 = 5*m + 2*u - 11 for m.
3
Solve -4*r + 2*f = -5*r - 6, -2*f - 20 = 8*r for r.
-2
Solve 3*n - 14 = 2*j - 3, 5*n = 5 for j.
-4
Solve 59*o - 54*o = -3*x + 69, -4*x - o + 24 = 0 for x.
3
Solve 2 = o - 4*b, -o - 3*b - 212 + 207 = 0 for o.
-2
Solve 2*m = -h - 34 + 21, -5*m - 5*h - 30 = 0 for m.
-7
Solve 19 = x - 1138*p + 1133*p, 0 = -5*p - 10 for x.
9
Solve i = 5, 3*i + 28 - 31 = 4*y for y.
3
Solve 3*u + 12 + 15 = 3*a, -8*a - 65*u + 20 = -60*u for a.
5
Solve -3*h - q - 6 = 0, -585*h + 4*q + 24 = -566*h for h.
0
Solve u - 2*h = -72 + 81, 5*u + 4*h = -25 for u.
-1
Solve 10 = 231*w - 228*w - 5*c, -38 = -5*w + 3*c for w.
10
Solve 18*h - 23*h - 24 = 19*z, -3*z - 6 = 3*h for z.
-1
Solve -2*q + 2*a + 10 = 0, 17*q - 19*q + 22 = -5*a for q.
1
Solve -33 = -5*i + 4*b - 74, -2*i - 6 = b for i.
-5
Solve 112*j - 108*j - s + 32 = 0, 0 = 5*j - 3*s + 68 for j.
-4
Solve -14*i = -5*p - 55, 4*i - 258 = 3*p - 247 for i.
5
Solve -6*j = 2*w + 28, 10 = 87*j - 89*j for w.
1
Solve -3*z + 4*y = 55, 73*z - 35 = 72*z - 4*y for z.
-5
Solve 123*k - 119*k - 5*h = -40, -k - 2*h + 29 = 0 for k.
5
Solve -5130*r + 4*h + 43 = -5127*r + 8, 0 = -2*h - 22 for r.
-3
Solve 0 = -5*n + 888*a - 889*a, 13 = -3*n + 2*a for n.
-1
Solve -46*i + 28 = 6*o, -5*i - 368*o - 4 = -365*o for i.
1
Solve -3*k - 7*l + 7*l = 2*l - 4, -2*k + 5*l = -9 for k.
2
Solve 0 = 206*t - 211*t - 5*j + 55, -4*t - 2*j + 38 = 0 for t.
8
Solve w - 51 + 46 = -r, 2*r + 15 = 3*w for r.
0
Solve 91*z = 96*z + 5*v + 5, 5*z - 3*v - 11 = 0 for z.
1
Solve 0 = 16*u + 3*h - 164, 21*u = 16*u - h + 51 for u.
11
Solve 5 = 56*c - 57*c, 3*n = 2*c + 22 for n.
4
Solve -218 + 200 = 4*l + 2*s, -3*l - 13 = s for l.
-4
Solve -5*i = -8*i - 3*l - 12, i = -3*l - 8 for i.
-2
Solve 10*j - n - 2 = 9*j, 0 = n - 1 for j.
3
Solve -4*t + 16 = 3*r, -t - 4*r = -2*r - 4 for t.
4
Solve 2962*c - 2955*c - 4*x = -25, 0 = -3*c - 4*x - 5 for c.
-3
Solve 5*b - 14 = -r, -156*b + 153*b - 2*r + 7 = 0 for b.
3
Solve 2*k + 4*u - 26 = 0, -35*k + 21*u - 23*u + 178 = -k for k.
5
Solve a = -3*h + 3, 29 - 23 = 2*a + 4*h for a.
3
Solve -4*x = -5*v - 94, 3*x + 43 = -v + 28 for v.
-18
Solve 8*j - f - 22 = 0, 3*j - 2*f = -4 + 9 for j.
3
Solve -y = -2*p + 1 - 5, 5*y = 10 for p.
-1
Solve -2*q = -3*j - 11, -493*j = -498*j - 3*q - 12 for j.
-3
Solve -4*z = 3*p - 23, -14 = p - 30*z + 27*z for p.
1
Solve 5*t - 5*p = 66 - 46, -3*t + 2*p + 7 = 0 for t.
-1
Solve 3*m = 0, 8*v + 2*m = 13*v for v.
0
Solve u - 5 = s, -409*u + 413*u = -2*s - 4 for u.
1
Solve -6*b + 6 = n, -26 = -35*b + 37*b - 2*n for b.
-1
Solve 62507*r - 62512*r = 10, 5*r + 7 = -i for i.
3
Solve -19 = -3*d + 5*q, 9*d + 389*q - 391*q = 31 for d.
3
Solve -4*y = 3*t + 11, y - 4*t + 7 - 47 = 0 for y.
4
Solve -5*t - 96 = 5*c - 131, 0 = -5*t + 5*c - 25 for t.
1
Solve -329*r = -328*r - 4, 4*r = -a + 12 for a.
-4
Solve 26 = 3*y + 16*p - 22, -4*p = y - 12 for y.
0
Solve 5*f = -3*t + 27, -7 = 7*t + f - 6 for t.
-1
Solve 26*t + 2*u = 28*t - 4, u = 6*t + 23 for t.
-5
Solve l + 7*h - 124 = -89, 5*l + 3*h = 15 for l.
0
Solve 2*y - 5 = -5*v, 12*y - 2*v + 63 + 3 = 0 for y.
-5
Solve 3*b - 36 = -1677*m + 1674*m, -2*b + 5*m = 11 for b.
7
Solve 36 = 7*p + 5*w, -3*w + 5 = 3*p - 13 for p.
3
Solve 0 = -n + x + 7, 4*x = -4*n + 1539 - 1575 for n.
-1
Solve -4604*a - 2 = p + p - 4605*a, -4 = a for p.
-3
Solve -8*h = -3*l + 37, -5*l - h = 129 - 119 for l.
-1
Solve -x + 2*a = 0, 152*x = 152*x + a - 2 for x.
4
Solve -5*k + 32*l = 41, -5*k + 61 = 99*l - 97*l for k.
11
Solve y + 18 = 4*f, -182*y + 89*y + 87*y + f = 62 for y.
-10
Solve 122*v - 128*v - 6 = 0, -2*v - 2 = 3*i for i.
0
Solve 1237 = -3*c + 2*t + 1253, -20*t = c + 98 for c.
2
Solve -14*c + 623*q = 620*q + 227, -q + 49 = -3*c for c.
-16
Solve 5*x = -5*g - 15, -6734*x + 6731*x = g + 15 for g.
3
Solve -1 = -2*w - 5*c, -10*w + 6196 = c + 6167 for w.
3
Solve 2*m - 9*v - 4 = -2*v, -m + 2 = 5*v for m.
2
Solve -27*w - 144 = 37*c - 28*w, 5*c = w - 16 for c.
-4
Solve -1835*j + 61 = 4*w - 1840*j, 0 = -2*w - 5*j - 67 for w.
-1
Solve -14*h + 19*h - 75 = 0, 3*a + 5*h - 81 = 0 for a.
2
Solve -83*t = 3*w - 78*t + 23, 0 = -2*w + 2*t - 10 for w.
-6
Solve -1 = -i - k, 2*k = 4*i - 73 + 45 for i.
5
Solve 5*v - 4*d + 26 = 0, -16*v + 2*d = -20*v for v.
-2
Solve -4*w - f + 18423 = 18410, 3*f = -4*w + 31 for w.
1
Solve 46*l = 49*l + 2*v - 3, -v = -3 for l.
-1
Solve 0 = -2*b - 4*x - 18, -2*b + 44 = -5*x + 35 for b.
-3
Solve 20*i + 5*r + 32 = 24*i, -i - 2*r - 5 = 0 for i.
3
Solve -2*y = -12*o + 4, -4*y = 135 - 103 for o.
-1
Solve -4*i - 55 = 3*v, 0 = -1576*v + 1571*v - 65 for i.
-4
Solve 2*l - 2*a - 237 = -233, 7 = 2*l - 3*a for l.
-1
Solve -n + 9 = -14*w, 300*n - 295*n = -4*w - 29 for w.
-1
Solve -5*n - 715 = 4*j - 708, -4*j + 2*n = 14 for j.
-3
Solve -3*b = 2*d - 9, -49*d + 47*d + 4 = 2*b for b.
5
Solve -10*l = -15*l - 20, -42*l - 164 = z for z.
4
Solve 2*q = 2*z, -11*q + 15*q = 7*z + 1 - 16 for z.
5
Solve -3*f - 4*d = 10, 5*d + 2359 = 5*f + 2329 for f.
2
Solve -2*h + 49 = -3*u, -5*u + 418*h - 420*h - 71 = 0 for u.
-15
Solve -4*m + 3*c - 16 = 0, 415*m - 4*c = 417*m - 36 for m.
2
Solve -5*q + 2546 = -5*y + 2521, -q = 3*y - 1 for y.
-1
Solve 7*c - 34 = 5*d, -5*c + 138*d = 137*d - 14 for c.
2
Solve -2*y = 3*g - 23, 2*g + 534*y = 535*y - 15 for g.
-1
Solve -z - 5 = -4*h, 2 = -3*h - 19*z + 14*z for h.
1
Solve -7*w + 28 = 2*s, 35*w - 4*s = 34*w + 4 for w.
4
Solve 0 = z + 4*c + 17, 0 = -111*z + 115*z - 2*c - 22 for z.
3
Solve 3*m + 15 = -2*b, 31 - 91 = 12*m - 2*b for m.
-5
Solve 4*l - 515 + 531 = -4*c, 2*c
|
{
"pile_set_name": "DM Mathematics"
}
|
- 4*b = 5*k + n for k.
-3
Let t(a) = -6*a**3 - a**2 - a - 1. Let v be (4/2)/((-6)/3). Let r be t(v). Solve -5*s - r*h = 18 - 3, -5*s + 4*h = -21 for s.
1
Let s(r) = 2*r + 7. Let w be s(-2). Solve 0 = -w*z + 3*j - 6, 3 = -2*j + 7 for z.
0
Let b(y) = 11*y**2 - 1. Let h be b(1). Let r(u) = -12*u + 2*u**2 + 7*u**2 - h*u**2 - 11. Let g be r(-11). Solve -20 = 4*j, -v + 5*v - j + 7 = g for v.
-3
Suppose -5*z = -6*z + 4. Solve 4*j - 6 = j - 2*g, z*j = -5*g + 8 for j.
2
Suppose i = -f + 1, -5*i = 4*f - 9*f + 5. Solve 3*p = i, 3*c - 2*p = -2*c - 20 for c.
-4
Let v(g) = -g**2 - 12*g + 17. Let u be v(-13). Solve 5*m + 3*q - 1 + 38 = 0, 0 = -u*m + 5*q for m.
-5
Suppose 4*m - 60 = 7*m. Let y be ((-48)/m)/(3/15). Suppose 0 = 2*f + 4, 12 = 5*q - 0*q + 4*f. Solve q*w = -0*c + 2*c + 16, -4*c = -3*w + y for c.
0
Suppose -2*r = 2*r - 40. Suppose a = -4*k - 4 + 15, -12 = -4*a. Let f(g) = -2*g - 1. Let m be f(-2). Solve k*q = -m*j + r - 22, 2*q = 4*j + 16 for j.
-4
Let a be (-4 - (-690)/35) + (-2)/(-7). Suppose 0*z - 1 = -z. Let s be (1 + a/2)*z. Solve 4 = 3*m + q - s, -8 = -2*q for m.
3
Suppose i = -i. Solve -2*g + 4*k + 20 = i, -3*k + 2*k = -4*g + 12 for g.
2
Suppose -42 + 12 = -2*d. Let b(t) = t**2 - 5*t + 3. Let h be b(5). Suppose -h*l = -2*l - 5. Solve 5*a = 5*c - d, 0*a - 4*a - 17 = -l*c for a.
2
Let v(b) = 4*b - 11. Let k be v(4). Solve 4*t + k*p = 30, 5*t + p - 27 = -0*t for t.
5
Let k be -10*(1 - (-3)/(-2)). Suppose 4*w - 6 = -3*a, w + 3*a + 5 = 2. Suppose 0 = -w*d + 2 + 4. Solve -2*l = d*f + l - 1, 0 = -k*f - 5*l + 10 for f.
5
Let d = 5 + 0. Suppose 4*c + d*h = -0*h + 43, -h = -4*c + 73. Solve 4*y - c = 5*z, -2*z - 3*z - 8 = -y for y.
3
Suppose -23 = -3*y - 2*t, 10*t + 11 = -y + 14*t. Let x be ((-11)/(-2))/(1/2). Solve y*o = -4*i - 16, -3*o = -0*i + i + x for i.
1
Let o = -5 + 9. Let b = o + -1. Suppose 3*p + 23 = b*d - 22, 0 = p + 4. Solve -4*q + d = h, -11 = -h - 3*q - 4 for h.
-5
Let d = 48 - 46. Solve -16 = 5*u - 6, 2*y - 4*u = d for y.
-3
Let y be 107/7 - 2/7. Let u be (-28)/(-35)*5/2. Suppose 0 = 5*z, f + 2*z + 0*z = u. Solve 0 = 5*q - y, -q = f*m + q - 2 for m.
-2
Let d be (3 - -1)/(2/2). Let g(o) = o**3 + 6*o**2 - 3*o - 2. Let k be g(-6). Suppose -k = -5*f + 4. Solve -d*w + 17 = -a, f*w = -4*a + 12 - 0 for a.
-1
Let m(z) be the first derivative of -z**4/4 - z**3 + 2*z**2 - 2. Let a be m(-4). Suppose a = p + 3*p. Solve -2*n + 2 = -f - 0*n, p = 5*f + n - 23 for f.
4
Suppose 21*p - 14*p = 161. Solve -p = -l - 2*l - 4*q, 2 = q for l.
5
Suppose -z + 5 = 1. Solve 3*a = -4*b + a, z*b - 12 = 4*a for b.
1
Let b(k) = -8*k**3 - k**2 - k - 1. Let j be b(-1). Solve -a + j = 3*a - 5*g, 0 = 4*g - 4 for a.
3
Suppose 0 = -2*h + 7*h. Suppose -y - 3*t = -5*y + 28, -5*y + 2*t + 28 = h. Solve -5*v - 32 = y*p, -5*v = -4*p - 4*v - 8 for p.
-3
Let k(a) = -a**2 - 7*a - 1. Suppose 12 = g - 3*g. Let d be k(g). Solve 5*l + d*y = 0, -4*l + 0*y = -y - 15 for l.
3
Suppose 4*c - c = 0. Let l = c + 2. Let b = -2 - -4. Solve n - b*o - l = 5, 2*n - 9 = 3*o for n.
-3
Let g(y) = -y + 4. Let k be g(-5). Let r = -3 + k. Suppose -2*j + r = -2. Solve -u = -w - 8, -4*u + j*w + 4 = -7*u for u.
4
Let p = -12 - -18. Solve -3*x = -q - 6*x - p, -q - 2 = -x for q.
-3
Suppose -4*i = 4*m + 7 + 5, -5*m - 23 = i. Solve -i*c = -3*d - 0*c + 5, 3*d + 2*c - 13 = 0 for d.
3
Suppose 2*g + 0 = 6. Suppose g*q + 6 = 5*q. Solve 0 = 3*p + q*w + 3 - 24, -2*p + 4*w = 4 for p.
4
Let z = -16 - -12. Let r be 0/(z/(-3 - -7)). Let l be 14/6 - (-6)/9. Solve r*x = -l*v + 3*x - 3, -v - 3*x = -11 for v.
2
Let t be (4/10)/((-7)/35). Let u be (0/t - 0)/2. Solve u = 5*w - 10, 4 = -2*n - w + 10 for n.
2
Let o = 11 - 6. Let r(h) = h**2 - 4*h + 3. Let q be r(5). Let m = q - o. Solve 2*l + m = 2*y + l, -l + 3 = 0 for y.
3
Suppose 2*s = -2*a + 5*a + 6, -4*a = 8. Solve -19 = 3*x + 4*i, 5*i + s*i = 2*x + 5 for x.
-5
Let p be 2 - -4 - (-4)/2. Solve 5*w + 3*j - 19 = p, 3*w - 13 = -j for w.
3
Let j be 1/(-2) + 44/8. Solve 0 = -o - 4*o + t - 14, j*o - 5*t = -10 for o.
-3
Suppose 2*b = -2*b - 32. Let w = b - -10. Solve 0*u + w*c + 2 = -u, c + 6 = 2*u for u.
2
Let c be -8*((-1)/(-2))/1. Let s = 9 + c. Solve 3*r - 2*r - s*l = 19, 0 = -2*r - l - 6 for r.
-1
Suppose 0*b = b + 18. Let c = -7 - b. Solve 0*v - 21 = -5*r + v, 0 = 3*r - v - c for r.
5
Let w be (-11 + 19)*(-2)/(-4). Suppose w*t - p = 19, 5*t + 2*p = 4*p + 20. Solve 2*u = -t, u - 5*u = -o + 16 for o.
4
Let v(d) = d**3 + 15*d**2 + 14*d. Let z be v(-14). Solve -2*t + 6 = 0, 2 = 2*s - z*s - 2*t for s.
4
Suppose 2*m + 3*i = 41, 3*i = -m + 2*i + 20. Let r = 24 - m. Solve 3*v = -4*s - 4, 0*s + 3*s + 3 = r*v for s.
-1
Let p be (0/(-3))/2 + -34. Let f be (-3)/(-9) - p/6. Solve -3*t - f = -4*q + 14, -q = t - 5 for q.
5
Let f = 73 + -68. Solve -4 + 18 = 3*u + z, 2*u + f*z - 5 = 0 for u.
5
Let s = 2 - -7. Let i(n) = -n**3 - 4*n**2 + n + 4. Let b be i(-4). Suppose -4*t + 4*y + 27 = 3, b = -4*t - y + 19. Solve 3*c - 7 - 6 = -t*w, w - s = c for c.
-4
Suppose 2*z + 70 = -3*z. Let s = -2 - z. Suppose 2*d + 3*d - 20 = 0. Solve d*l + j + 3*j + s = 0, l - j + 5 = 0 for l.
-4
Suppose -10 = f + 4*g, 5*f - 2*g = -5*g - 84. Let v be (-2)/(-5) + f/(-30). Solve 3*d = 3*k + 3, 3*d + v = -5*k + 6*d for k.
1
Let r be 2/(-2) + (0 - -6). Let i be 0/(-9) - (1 - -1). Let v be 19 + 3 + -2 - i. Solve 5*q + r*f + 12 = q, 4*f = 3*q - v for q.
2
Let g(k) = k - 4. Let j be g(6). Suppose 12 = 5*f - 9*f. Let s be (-3*2 - f)/(-1). Solve -2*q - q = j*h - 22, -3*h = s*q - 27 for h.
5
Let l be 7/((-21)/(-45)) + -3. Let q be (-20)/(-9) + l/(-54). Solve q*z - r = 13, -z + 17 = 3*z + r for z.
5
Let i(y) = y**2 + y - 4. Let f = 2 - 5. Let v be i(f). Solve -o - 3*c + v*c = -5, 0 = -o - 4*c + 20 for o.
0
Let w(q) = q**3 - 9*q**2 + 10*q - 10. Suppose -4*r + 32 = -0*r. Let n be w(r). Solve -1 = 4*z - b, 3*b - n - 7 = 2*z for z.
1
Let p be (36/48)/(1/40). Solve -5*c + l - 2*l + p = 0, 3*l - 5 = 2*c for c.
5
Suppose 2*o - 35 = -3*l, -4*l - 3*o = 3 - 51. Let j = 9 - 12. Let y = j + 6. Solve 0 = 2*z + 8, -5*p + y*z - l = -z for p.
-5
Let p(g) = g**3 + g**2 - g + 1. Let u be p(1). Solve s = 0, -u*s = 5*f - 7*s + 15 for f.
-3
Suppose 10 = -3*v + 5*x, -2*x + 14 = 4. Suppose -5*c = 3*u + 2*u - 65, 4*u - v*c - 52 = 0. Solve m + j = -3, -6*m - 5*j - u = -2*m for m.
-2
Suppose 0 = -t + 5*t - 20. Suppose -4*b + 24 = -4*n, -3*b - 3*n = -t*n - 15. Let x = 14 + -13. Solve -5*q - 9 = 5*o + x, -q = -b*o + 6 for o.
1
Let v be -1 + -3 + (13 - 6). Solve -2*u + 5*g - 16 = 2, -10 = 2*u - v*g for u.
1
Let u be (-27)/(-5) + (-16)/40. Let r = 5 + 0. Solve t - 10 = -u*a, -3*t = 4*a - r - 14 for a.
1
Let t be ((-4)/(-10))/((-12)/(-30)). Let l(g) = 2*g**2. Let z be l(t). Solve 0*p = -3*y + 2*p + 7, 0 = -5*y - z*p + 1 for y.
1
Suppose -v = p + p - 9, 2*p - v - 3 = 0. Suppose -p*f = -4*f. Solve -3*i - i - 11 = -3*x, f = -3*i + 5*x for i.
-5
Let f(r) = -r**3 + 3*r**2 + 2*r - 3. Let y be f(2). Suppose -23 + 133 = y*s. Solve 2*l - s = 4*h, l - 19 = -0*l + 4*h for l.
3
Let z = -20 - -23. Solve z = -2*d + t, 3*d - 7*d = 5*t + 13 for d.
-2
Suppose -4*m - 13 = -j + 4*j, -5*j = -5*m + 10. Suppose -3*o - 2*q + 17 = 0, 15 = 2*o + q + 4. Let i = j + o. Solve i*y + 2 = -2*t, 3*t + 8 + 13 = 3*y for y.
3
Let x(g) = g**2 + g + 2. Let v(n) be the first derivative of -n**2/2 + 5*n + 2. Let w be v(7). Let b be x(w). Solve b*t + 5*y - 11 = 8*t, 2*t + 10 = -2*y for t.
-4
Let z = 9 + -6. Let b = z - 1. Let j = 20 - 8. Solve -t - j = b*t, f - 22 = 5*t for f.
2
Let g(n) = -2*n - 3 - 4 + 0 + n. Let z be g(-10). Solve -3*c = -3*r - 3, -5 = -r - z*c + 6*c for r.
-4
Let m(r) = 3*r - 21. Let j be m(8). Suppose -2*h + 6*h = 0. Suppose -v + h = -3. Solve -12 = -3*f - j*c, 12 = -7*f + 3*f + v*c for f.
0
Let m = -6 - -10. Let g be 8/12*-3 - (-10 - -5). Suppose -3*p = -4*w + 2*w - 61, 0 = -p + w + 22. Solve g*q - p = 2*y, -y + m*q = -5*y - 4 for y.
-4
Suppose 0*r = -2*r + 5*j - 9, -4*r - 2*j = -18. Solve -3*x = -15, 2*l + r*x = -0*l + 25 for l.
5
Suppose 4*g - 5*p - 29 = 0, -2 = 2*p - 0. Solve j - g*j + 2*y = 10, 3*y = -5*j + 15 for j.
0
Let p(q) = -q - 17. Let w be p(-7). Let m = 2 + w. Let k be -1*((-3 - -6) + m). Solve 4*v = -0*b + 3*b - 27, -4*v = k*b - 13 for v.
-3
Let p(k) = -k**2 + 8*k - 2. Let u be p(7). Solve 2*b + 6 = u*x - 3*x, -5*x + 3 = -2*b for b.
-4
Let t(h) = 5*h**3 + 2*
|
{
"pile_set_name": "DM Mathematics"
}
|
/f)**(15/8))**16 assuming f is positive.
f**120
Simplify (s/s**34*s*s**(-5))/(s/s**8*s*s**(1/6)*s) assuming s is positive.
s**(-193/6)
Simplify ((x**3)**(-15)/(x*x**(-6)*x**1/x))**(-43) assuming x is positive.
x**1720
Simplify t**(2/3)/t*t**(10/9)*(t**(1/10))**(-4/35) assuming t is positive.
t**(1207/1575)
Simplify x/(x*x/(x*x**(-6)))*x*x/(x/(x/((x**(2/3)/x)/x*x)*x)*x)*x*x*x*((x**(-19)*x)/x)/x**(-16) assuming x is positive.
x**(-11/3)
Simplify ((p/(p/(p/((p*(p*p**15*p)/p*p)/p*p*p)*p)))/((p/(p/(p*p/(p/p**(-7)*p*p))*p))/p))/(p*(p/(p*(p/((p/p**(2/29))/p))/p)*p)/p)**(-43) assuming p is positive.
p**(958/29)
Simplify l**(14/5)*l*l/l**3*l*(l**(-2/11))**(-14) assuming l is positive.
l**(294/55)
Simplify ((k/(k**(-7/8)/k*k))/k**(14/5))/(k*k/((k/(k*k*k**(-18)/k))/k)*k*k*k/k**(-2/49)) assuming k is positive.
k**(21627/1960)
Simplify ((t**(3/2))**(-27)*((t/(t**6*t))/t)/(t**(-2)*t))**(-43) assuming t is positive.
t**(3999/2)
Simplify (((f/f**2)/f)/(f**(8/3)*f))/(f**(3/11)*f*f*((f**29*f*f)/f)/f) assuming f is positive.
f**(-1219/33)
Simplify (p/p**(-1/3))**(-32/3)*p**(-10/9)*p/(p**9/p*p) assuming p is positive.
p**(-70/3)
Simplify (t**(-5)*(t**(2/3)*t)/t*(t**(1/18)/t)/t*(t/(t**(-5/4)/t*t))/t)**(-13) assuming t is positive.
t**(2353/36)
Simplify (i/i**2)**(-2/45)*(i*i*i**(-7/2))/i*i**(-2/45) assuming i is positive.
i**(-5/2)
Simplify (f**(2/11))**(-2)*(f**(-2/5)/f)/f*f*f/f**(-11) assuming f is positive.
f**(563/55)
Simplify (b*b*b/(b**(4/7)/b))**(-25)/(b**7/(b**8*b)) assuming b is positive.
b**(-586/7)
Simplify (h**(5/4)/h*h)/h*h**(-5/3)/h*(h**(1/8))**(4/5) assuming h is positive.
h**(-139/60)
Simplify j**(-12)/j*j*j**(-16)*j*j**(-17)/j**(12/5) assuming j is positive.
j**(-232/5)
Simplify (q*q**(-1/10)*q*q*q)**(-16/7)/(q**(8/5)*(q*q*(q**2/q*q)/q)/q*q) assuming q is positive.
q**(-473/35)
Simplify (v**(-25)*v*v**(-2/9))/(v**(-32)*v**(-5)) assuming v is positive.
v**(115/9)
Simplify (g/(g/g**(-2/5)))**(1/6)*((g**2*g)/g)/g*g**(-6) assuming g is positive.
g**(-76/15)
Simplify (b*b*b*b**(-2/39)*b*b/(b/(b*b/((b*b**2)/b*b*b))))/(b**(1/8))**(-41) assuming b is positive.
b**(2207/312)
Simplify (v*v/v**16*v*v**12)/(v*v*v**(-19)/v*v**(3/17)) assuming v is positive.
v**(286/17)
Simplify (c/(c*c**(3/20))*c*c**24)**(-2/13) assuming c is positive.
c**(-497/130)
Simplify ((s*s**(-1/4))/s)/s**(5/2)*s/s**(-1/2)*s**(1/9) assuming s is positive.
s**(-41/36)
Simplify (((m**(-3)*m)/(m*m*m/m**(-1)*m*m))/((m*((m*m**(-3))/m)/m)/((m/(m*(m/(m*((m*m**(1/2))/m)/m))/m)*m)/m*m)))**41 assuming m is positive.
m**(-287/2)
Simplify (c**9/c**(-16))/(c**(-3)/c**(-1)) assuming c is positive.
c**27
Simplify (i**(1/2)*i)/i*i**9*i*(i**2)**(1/9) assuming i is positive.
i**(193/18)
Simplify z**12*(z*z**14)/z*z/z**2*z**(-9) assuming z is positive.
z**16
Simplify (f**(-2))**33/(f**(-3))**(-33) assuming f is positive.
f**(-165)
Simplify ((((h/(h**(-11)*h))/h)/(h/h**4))/(h**4/h*h**(2/17)))**(-1/18) assuming h is positive.
h**(-28/51)
Simplify ((g/g**(-9)*g*g**(1/20))**(2/3))**(-13/5) assuming g is positive.
g**(-2873/150)
Simplify (i/(i/i**(17/4)))**(1/3)/(i*i**(6/7)*i)**(-8/15) assuming i is positive.
i**(247/84)
Simplify r**(7/6)/r**8*r**22*r*(r*r**(29/4)*r)/r assuming r is positive.
r**(293/12)
Simplify ((q/((q**(-8)/q)/q))/q**4)/(q**3/q)**39 assuming q is positive.
q**(-71)
Simplify (p/p**19)/(p/p**(-2/27))*p**24*p**(-1/9) assuming p is positive.
p**(130/27)
Simplify (s**(-3)*s)**42*s/(s**(-11/2)*s)*s**(-10) assuming s is positive.
s**(-177/2)
Simplify (c**15*(c*c*(c**9*c)/c*c)/c)/(c**(-6))**(-5/8) assuming c is positive.
c**(89/4)
Simplify (u*u*(u/u**(2/3))/u*u**(1/23)/u)/((u/(u*u**5))/u**(6/11)) assuming u is positive.
u**(4495/759)
Simplify ((a**4/a)/a**14)/(a*a*a**(-4)*a*a*a*a)**(-23) assuming a is positive.
a**35
Simplify (l/l**(2/15)*((l**18/l)/l)/l)/(l*l**(7/4)*l*l*(l/(l**(2/53)/l))/l) assuming l is positive.
l**(32291/3180)
Simplify d/(d*d*(d/(d*d**(4/17)*d))/d)*(d*d/(d*d/(d/(d/((d/d**(-2/13))/d))*d)))/d*d**9*(d/d**(-4/13))/d assuming d is positive.
d**(2364/221)
Simplify ((((s*s/s**(-4/11)*s)/s)/s**(-3))/(s**(-2/3))**(1/21))**(-35) assuming s is positive.
s**(-18695/99)
Simplify (j/(j/(j**(-3)*j)))**(-5/7)/((((j*j/(j**(-3)*j))/j)/j)/j*j)**(-5) assuming j is positive.
j**(80/7)
Simplify (l/(l*l**(4/7)*l)*l)**(-29/5)/((l*l/((l*l*l*l*l**(2/5)*l*l*l)/l))/(l**14/l)) assuming l is positive.
l**(145/7)
Simplify ((q*q**12)/q*q)**(-2/61)*((q*q/(q**(-6)/q)*q)/q)/((q/q**(13/2))/q) assuming q is positive.
q**(1839/122)
Simplify (((u/u**4)/u)**(-2/31)/(u*u*u/((u*u/(((u/(u/((u*u*u/(u/u**(4/5))*u*u)/u)))/u*u)/u))/u)*u*u*u/(u**(-2/13)*u*u)))**5 assuming u is positive.
u**(-11477/403)
Simplify (b**(1/12)/(b**5*b)*b/(b/((b**(1/6)/b)/b))*b**(-6))**(3/4) assuming b is positive.
b**(-165/16)
Simplify (j**(-12)/(j*(j/(j*j**11/j))/j*j*j*j))**(-5/7) assuming j is positive.
j**(25/7)
Simplify ((c/(c*c*c**29))/(c**(-30)/c))**(-38) assuming c is positive.
c**(-38)
Simplify ((c*c**(-3/4))/(c*(c**(4/17)*c)/c))/(c**(-1/3)/c*c*c**8) assuming c is positive.
c**(-1765/204)
Simplify (x**(-9))**(13/8)*(x*x**(6/11)*x)/(x**1*x) assuming x is positive.
x**(-1239/88)
Simplify ((b/b**5*b*b**(1/7))**(-28))**31 assuming b is positive.
b**2480
Simplify (g*g*(g**(2/35)/g*g)/g*g**(-7))/(g**1/g)**(-37) assuming g is positive.
g**(-208/35)
Simplify (x*x**(-2/11)/x)**(1/11)*((x/(x/(x**(2/5)/x)))/x*x*x)/(x/x**(15/4)) assuming x is positive.
x**(7583/2420)
Simplify ((((t**5*t)/t)/t)/t)**(-4/3)/((t*t/t**(-28))/t**(1/3)) assuming t is positive.
t**(-101/3)
Simplify m**(-9)/m**(-9)*m**(2/9)/(((m*m/m**(-1/5))/m)/m) assuming m is positive.
m**(1/45)
Simplify ((((x/x**12)/x)/x)/(x/(x**(-3/19)*x*x)*x))/(((x*x**(5/3))/x*x)/(x**(-1)/x)) assuming x is positive.
x**(-1016/57)
Simplify d**(-3)*(d/(d**18/d))/d*d*((d*d**9)/d)/(d/(d**4*d)*d) assuming d is positive.
d**(-7)
Simplify (((m/(m/m**13)*m)/m*m)/m**(-23))/(m**(3/4)/m**(-2/53)) assuming m is positive.
m**(7677/212)
Simplify ((b**(2/3)/b*b)**(3/22)*(b*b**(-1)*b*b)**(11/8))**(-8/9) assuming b is positive.
b**(-250/99)
Simplify (k**(-2))**(-8/11)/(k**1)**43 assuming k is positive.
k**(-457/11)
Simplify ((f**(-1))**(3/7)/(f**(-3)*f*f*f**(1/7)))**(-2/49) assuming f is positive.
f**(-6/343)
Simplify ((((b**(1/5)*b*b)/b)/b*b*b**(-1/13))**(6/17))**28 assuming b is positive.
b**(12264/1105)
Simplify (v**(17/4)/(v/(v/(v/(v**19*v)*v))))/((v**14*v)/(v/v**(-1/38))) assuming v is positive.
v**(629/76)
Simplify ((o*o**(-4)*o/(o/(o/o**(2/5))))**(-7/6))**(-42) assuming o is positive.
o**(-588/5)
Simplify (o**(-10)*o*o*o/o**(-39)*o)**(1/63) assuming o is positive.
o**(11/21)
Simplify (p*p*p*p*p*p/((p/p**(2/49)*p)/p))/(p*p**(-3/17))*(p**(6/7)*p)**(-2/23) assuming p is positive.
p**(77705/19159)
Simplify (z**(-2/11)/(z/(z*z/z**(31/2))))**(-17) assuming z is positive.
z**(5491/22)
Simplify (v*v**(-2/25)*v)**(-25)*(v*v/(v**(3/2)/v))/v*v**(8/5) assuming v is positive.
v**(-459/10)
Simplify ((((a*a**(2/17))/a)/(a/a**(-2/3)))/(a**(-2)/a**(-3)))**19 assuming a is positive.
a**(-2470/51)
Simplify (q**(-2/15)/q)**(-13)*q/q**0*q**21 assuming q is positive.
q**(551/15)
Simplify (((w**(-2/13)*w)/w**7)**(2/103))**(1/59) assuming w is positive.
w**(-160/79001)
Simplify (u**(-12)*u**(-6/7)*u*u*u**(4/11)*u*u*(u*u*u/((u**(-1/23)/u)/u))/u)**(-20) assuming u is positive.
u**(157620/1771)
Simplify (l/l**(-8/11)*l*l**(-45))**(-1/5) assuming l is positive.
l**(93/11)
Simplify ((c**4)**(8/9))**(-14) assuming c is positive.
c**(-448/9)
Simplify n/(n/(n*n/(n*n**(-1/8))))*n**(1/2)*(n**20*n)/(n/(n/(n*n**(-20)))) assuming n is positive.
n**(333/8)
Simplify d/(d/d**26)*d**(2/65)/d*(d/(d*d/(d**24*d)))/(d**7*d) assuming d is positive.
d**(2667/65)
Simplify ((m**(-1))**(29/2)*m**(-6)*m**(-2/11))**(-4/27) assuming m is positive.
m**(910/297)
Simplify ((l/(l/((l**(-6/7)/l)/l)))/(l*l/((l**(9/5)*l)/l)))/(l/(l/l**(11/4))*l*l**6) assuming l is positive.
l**(-1793/140)
Simplify v**7/(v*v**13)*v**4/(v/v**2) assuming v is positive.
v**(-2)
Simplify t*(t*t/(t**(-9/4)*t)*t)/t*t*t**5/t*(t**0)**(-30) assuming t is positive.
t**(37/4)
Simplify (j*j/j**(-1/6)*j/j**(2/23))/(j**(-3/13)*j**(-3)/j) assuming j is positive.
j**(13115/1794)
Simplify (((k**7*k)/(k**(-4)/k))**(-36))**(-9) assuming k is positive.
k**4212
Simplify n**(-14)/(n**18*n)*n**(-14)/n**(-2/7
|
{
"pile_set_name": "DM Mathematics"
}
|
)*c)/(c/(c*c/(c/(c**(-4)/c)))*c) assuming c is positive.
c**(42/11)
Simplify (((t/t**(22/5))/t)/t)**(2/7) assuming t is positive.
t**(-54/35)
Simplify (q*q**(1/36)*q)/q**1 assuming q is positive.
q**(37/36)
Simplify (g*g**(-13))**(1/59) assuming g is positive.
g**(-12/59)
Simplify j**6*(j/(j/(j/(j*(j/((j**(4/9)/j)/j*j))/j*j)))*j*j)/j*j/(j/(j/j**(-3)))*j*j*j**(-2) assuming j is positive.
j**(85/9)
Simplify w/(w/((w*w**(-10)*w)/w*w))*w*w**13 assuming w is positive.
w**6
Simplify c**38/c**(5/7) assuming c is positive.
c**(261/7)
Simplify z**16/(z*z**(-5/3)) assuming z is positive.
z**(50/3)
Simplify (z*z**(-8/7))/(z/z**(-3/2)) assuming z is positive.
z**(-37/14)
Simplify ((g**(-7))**1)**30 assuming g is positive.
g**(-210)
Simplify f**13*f**(-11) assuming f is positive.
f**2
Simplify (b**(-2)/b)**3*(((b*b**(-1/3)/b)/b)/b)/(b*(b/(b*b/((b*b*(b/(b*(b**(-2/19)*b)/b*b))/b*b*b)/b)*b*b))/b) assuming b is positive.
b**(-538/57)
Simplify ((f/f**(-2/3))/((((f*f**8)/f)/f)/f*f))/((f**(-8)/f)/(f*f**(1/6))) assuming f is positive.
f**(29/6)
Simplify (y*y*y**(-1/12)*y*y*y)**(2/15) assuming y is positive.
y**(59/90)
Simplify d/(d*d*d*d*d**4*d*d)*d*d**(-3)/d*d*(d*d*d/d**(-1/6))/d**(-1) assuming d is positive.
d**(-41/6)
Simplify m**7*m**(-6)*(m**0)**(-4/37) assuming m is positive.
m
Simplify g/(g*g*(g**(-5)*g)/g)*g/(g*(g*g/(g/g**(-19))*g*g)/g*g) assuming g is positive.
g**20
Simplify (d**2/d)**27/(d**(-2/3)*d*d)**(-7/6) assuming d is positive.
d**(257/9)
Simplify q**10*q*q/(q/(q*q*q**(-11))) assuming q is positive.
q**2
Simplify (((a**(-1/3)/a)/a)/(a/(a/a**(-7))))**(-38) assuming a is positive.
a**(-532/3)
Simplify (q**(-1)*q*q)**(-8/11)/(q/(q*q**(2/7)))**(-4/11) assuming q is positive.
q**(-64/77)
Simplify (k*k/k**18)**(-2/23) assuming k is positive.
k**(32/23)
Simplify p**42*p**(2/35)/p assuming p is positive.
p**(1437/35)
Simplify b**(-47)/b**(-3/26) assuming b is positive.
b**(-1219/26)
Simplify o**(-4/3)/(o*(o/(o/o**(-11)))/o) assuming o is positive.
o**(29/3)
Simplify (t**(-1))**(-27)*t**(-1)/(t/((t**(1/3)/t*t)/t)) assuming t is positive.
t**(73/3)
Simplify f**3/f**(-1/7)*(f/(f/(f**0/f)*f))**(-1/36) assuming f is positive.
f**(403/126)
Simplify (a/(a**(1/5)/a*a))**(30/13) assuming a is positive.
a**(24/13)
Simplify (c*c*c*((c*c/c**(-4)*c)/c)/c*c)/c*c**(5/3)*(c**0)**(-25) assuming c is positive.
c**(29/3)
Simplify (f**(-7)*f/f**(-3/5)*f)**(1/72) assuming f is positive.
f**(-11/180)
Simplify v**(-1/30)*v**(1/5)/v assuming v is positive.
v**(-5/6)
Simplify (l*l*l*l**(3/5)*l*l)/l*l/(l/(l/(l**8*l))) assuming l is positive.
l**(-17/5)
Simplify n**8/n**(-9)*n**(4/7)/(n*n/(n*n/n**9*n)) assuming n is positive.
n**(67/7)
Simplify ((f/f**(-2/19))/f)/(f/f**(-1/17)) assuming f is positive.
f**(-308/323)
Simplify (j**(-3/2)*j)/(j/(j/((j*j/(j/(j/(j*j**(-6)*j*j))))/j)*j))*(j*j**(-3/4)*j*j)/(j**(-8)/j) assuming j is positive.
j**(31/4)
Simplify ((d**10/d)/d*d)/d**(-1/4)*(d*d**(-1/2)*d)**(-46/5) assuming d is positive.
d**(-91/20)
Simplify (o*o**(-24))/(o**(-1)*o) assuming o is positive.
o**(-23)
Simplify (t**7)**43 assuming t is positive.
t**301
Simplify (b*b**(-2/3)*b)**25*(b**0)**(-15) assuming b is positive.
b**(100/3)
Simplify (((m/(m*m*m**1*m*m*m)*m)/m)**18)**(-1/22) assuming m is positive.
m**(45/11)
Simplify x*x/(x*x**(-2/17)/x*x)*x*x**7*x assuming x is positive.
x**(172/17)
Simplify (c**6*c)**(-4/13) assuming c is positive.
c**(-28/13)
Simplify g**(-2/39)*(g**(2/21)*g*g)/g assuming g is positive.
g**(95/91)
Simplify (v*v**(1/4)/v)/(v*v/v**(-4/7)) assuming v is positive.
v**(-65/28)
Simplify (z/z**(-17))**25 assuming z is positive.
z**450
Simplify (z/z**0)**(1/66) assuming z is positive.
z**(1/66)
Simplify t*((t*t**4)/t)/t*t*t**4*t**(1/19)/(t*t*t/t**(4/9)) assuming t is positive.
t**(1111/171)
Simplify x/x**19*x**(-2/41) assuming x is positive.
x**(-740/41)
Simplify x/(x**37*x)*x*x*x**(2/45)*x assuming x is positive.
x**(-1528/45)
Simplify f**(-1/8)/f**3 assuming f is positive.
f**(-25/8)
Simplify (b*b*b/(b**2/b))/(b/b**6)*(b**(-1))**(2/81) assuming b is positive.
b**(565/81)
Simplify (b/b**1)**(-2/129)/(b**0/((b*b*b/(b*b*(b*b/b**(1/2)*b)/b*b*b))/b)) assuming b is positive.
b**(-7/2)
Simplify (j*j**(7/3)*j)/(j/j**5) assuming j is positive.
j**(25/3)
Simplify (m*m/m**(-5)*m*m**(-2))**(-7/6) assuming m is positive.
m**(-7)
Simplify ((c*(c**0/c)/c)**26)**(-18) assuming c is positive.
c**468
Simplify ((k/k**(-33))/k)/(k*k/(k*k*k/k**13*k)*k*k) assuming k is positive.
k**20
Simplify ((u*u/(u*u**(7/5)*u))/(u**(-1)/u))**(-1/39) assuming u is positive.
u**(-1/65)
Simplify (v/v**(-25))/(v*v**(-5/9)) assuming v is positive.
v**(230/9)
Simplify (d*d*d**(-1/2)*d*d*d*d**(-1/5)*d*d*d)**(-6/7) assuming d is positive.
d**(-219/35)
Simplify (j*j**(-2/3))/j*j**(1/4)*j*j**(2/7)*j**(-7)/j assuming j is positive.
j**(-599/84)
Simplify (u**35/u*u)**(-18/13) assuming u is positive.
u**(-630/13)
Simplify c**(-4)*c/((c**(-1)*c)/c*c)*c*c*c**(-1/9)/((c*c/(c*c/(c/(c**(1/5)*c))*c*c))/c) assuming c is positive.
c**(94/45)
Simplify k*k/(k*k*(k*k**4)/k)*k/(k/(k*k**3/k))*k/k**(-2)*k*k**(-1) assuming k is positive.
k**2
Simplify g**16/(g*g**(13/2)) assuming g is positive.
g**(17/2)
Simplify (p*p*p**(1/3)*p*p)**(1/9)/(p*p*p/p**(2/5)*p)**(5/11) assuming p is positive.
p**(-343/297)
Simplify a**(-13)*a**(-13) assuming a is positive.
a**(-26)
Simplify a**(-3)/(a**(-4)*a)*a**(-1)*(a/(a**(-1/3)*a))/a*a assuming a is positive.
a**(-2/3)
Simplify (v**(1/10)*v*v)/v**3 assuming v is positive.
v**(-9/10)
Simplify ((r*r**4/r)/r**6)**(-28) assuming r is positive.
r**56
Simplify ((i/i**(2/7))/i)**(-42)*(i*i*i*i*i/i**(2/11)*i)/(i/(i*i/(i*i**(-2)/i))) assuming i is positive.
i**(229/11)
Simplify ((f*f/(f**(7/5)/f)*f*f)/f)/f**(-2/11) assuming f is positive.
f**(153/55)
Simplify x/(x*x**(4/7)/x*x)*x*x**9*x assuming x is positive.
x**(73/7)
Simplify (g/(g/(g**31*g)))/(g**24/g*g) assuming g is positive.
g**8
Simplify (d*d**5*(d*d**(4/9)*d)/d)**35 assuming d is positive.
d**(2345/9)
Simplify o**3/o**5*((o/((o/(o**(-2/3)/o))/o*o*o))/o*o*o)**23 assuming o is positive.
o**(-121/3)
Simplify ((x/x**(-2/9)*x*x)**(-48))**40 assuming x is positive.
x**(-18560/3)
Simplify (j/j**(-23)*j)/(j**(-3/2)/j) assuming j is positive.
j**(55/2)
Simplify (s**8/(s/((s**(-11/3)/s)/s)))**18 assuming s is positive.
s**24
Simplify (y/(((y*y*y**(4/7))/y)/y))**(-50) assuming y is positive.
y**(-150/7)
Simplify (b/((b*b/b**(-15))/b))**(2/11) assuming b is positive.
b**(-30/11)
Simplify (q**(2/5)*q**0/q)/(q**(-1)*q)**(-35) assuming q is positive.
q**(-3/5)
Simplify u**(-1/4)*u*u*u**(-30)*u assuming u is positive.
u**(-109/4)
Simplify (k*k**(2/3))**(6/5)/(k**(-1/7)*k**(2/21)) assuming k is positive.
k**(43/21)
Simplify (((r**(3/5)/r*r)/r*r*r)/r)**(-15) assuming r is positive.
r**(-9)
Simplify ((f**(-8)/f)/f**(1/2))**(-36/7) assuming f is positive.
f**(342/7)
Simplify i**(6/13)*i*i/(i/i**9)*(i**(-2))**(-1/2) assuming i is positive.
i**(149/13)
Simplify ((u/(((u/u**(-10))/u)/u*u*u))/u*u*u*u**3)/(u/(u/u**(-5))*u**(-11)) assuming u is positive.
u**10
Simplify (g/(g*g*g*g*g*g*g**(-4)*g)*g/(g**(-6/5)/g))/(g*g*g/g**(1/4))**(-2) assuming g is positive.
g**(67/10)
Simplify (y**(-2/79)*y)**(1/4) assuming y is positive.
y**(77/316)
Simplify (g**(1/4))**(2/33)/(g*(g*(g*g**(-1/8))/g*g)/g*(g/g**(-6))/g) assuming g is positive.
g**(-2075/264)
Simplify ((z*((z**(-2)/z)/z)/z*z*z)**(-27/7))**(-49) assuming z is positive.
z**(-378)
Simplify (z**(-7))**20 assuming z is positive.
z**(-140)
Simplify (m*m/m**17)/(m/m**1) assuming m is positive.
m**(-15)
Simplify (p**2)**(-45)/((p**(-1/3)/p)/p)**(-6/25) assuming p is positive.
p**(-2264/25)
Simplify ((((u*u*((u/u**(-1/3))/u)/u)/u)/u)/((u/u**6)/u))/(u*u**1)**(1/9) assuming u is positive.
u**(46/9)
Simplify c/(c/c**(2/33))*c*c*c**(2/3) assuming c is positive.
c**(30/11)
Simplify (g**(-2/9)/g**(-2/5))/(((g*g/(g/(g/g**(-3/4)))*g)/g)/(g*g**6)) assuming g is positive.
g**(797/180)
Simplify (r**(3/16)/r)**26 assuming r is positive.
r**(-169/8)
Simplify ((p**(-2/13)*p)/((p*p*p**(2/13))/p*p*p))**(-2/65) assuming p is positive.
p**(12/169)
Simplify (z*z**(-10)*z)**(-45) assuming z is positive.
z**360
Simplify (d/(d**9/d*d))**(-26) assuming d is positive.
d**208
Simplify b**2/b**(2/15) assuming b is positive.
b**(28/15)
Simplify (y
|
{
"pile_set_name": "DM Mathematics"
}
|
(-6/11)*o)/(o**(1/2)*o)*(o*o**1*o)**(-15) assuming o is positive.
o**(-991/22)
Simplify (x**6/x**(-7))/(x*x**(-1/3)*x*x)**(-21) assuming x is positive.
x**69
Simplify ((c**(2/3)/c)/(c**3/c))/((c/c**(-1))/(c/c**(-4)*c)) assuming c is positive.
c**(5/3)
Simplify ((f/(f*f/(f*f**(-12/5)/f)))/f)**34 assuming f is positive.
f**(-748/5)
Simplify (m**(-11))**(-23) assuming m is positive.
m**253
Simplify (a**(-1/2)*a**(-1/3))**(-1/5) assuming a is positive.
a**(1/6)
Simplify (u*u**(-2/5)/u)**(13/6) assuming u is positive.
u**(-13/15)
Simplify (v*v*v**(-10)/v*v/(((v**6*v)/v*v)/v))/(v**(-5/4)/(v*v**(1/10))) assuming v is positive.
v**(-233/20)
Simplify ((g**(1/14)*g)/g)/g**6*(g**(-1/4)*g*g*g)**(-1) assuming g is positive.
g**(-243/28)
Simplify (r*(r/r**(-1))/r)**(-2/35)/(r*r*r/(r*r**0)*r)**(-16) assuming r is positive.
r**(1676/35)
Simplify u/(u/(u/(u*u/(u*u**(-32)))))*u**(-26) assuming u is positive.
u**(-58)
Simplify (((w**3/w)/w*w)/w**(-6))/(w*w**(2/3))**24 assuming w is positive.
w**(-32)
Simplify (f**(-2))**(-1/23) assuming f is positive.
f**(2/23)
Simplify (m*m*m*m*((m*m*m/(m/(m**(3/2)/m))*m*m)/m)/m)**(-48) assuming m is positive.
m**(-312)
Simplify (k**(-6)/k)/(k/k**(-6/11)) assuming k is positive.
k**(-94/11)
Simplify (p*p*(p**2/p)/p)**50*p**(2/11)*p**(-5)*p assuming p is positive.
p**(1058/11)
Simplify ((x**(1/4))**(8/5))**(14/3) assuming x is positive.
x**(28/15)
Simplify b**(-6)/(b/(b**8/b))*(b*b**(-9))/(b*b/b**(-8)) assuming b is positive.
b**(-18)
Simplify (u*u/((u/(u*u*u**6*u*u))/u))/u**(-26) assuming u is positive.
u**38
Simplify (i**(-18)/i)/i**(-17) assuming i is positive.
i**(-2)
Simplify (g*g**1*g)**(7/2)/(g**0*g)**(12/19) assuming g is positive.
g**(375/38)
Simplify ((m**(-1/3))**2)**(-1/71) assuming m is positive.
m**(2/213)
Simplify (l/l**(2/19))/l**(-3/5)*(((l/l**(-5))/l)/l)/(((l**(3/8)*l)/l)/l) assuming l is positive.
l**(4651/760)
Simplify (q*q**15)/(q**(6/7)/q) assuming q is positive.
q**(113/7)
Simplify (y*y/y**8*y*y**(-4/3))**(-12) assuming y is positive.
y**76
Simplify ((h/(h**(-2/5)/h))**(8/5))**(-47) assuming h is positive.
h**(-4512/25)
Simplify n**(17/4)*n*n/(n*n/n**(-4/7)) assuming n is positive.
n**(103/28)
Simplify ((c/(c*c**4)*c)/(c*c/(c*c**5)))/((c*c/((c/(c*c*c**(-2/3)))/c))/c*(c/((c**(2/7)*c)/c))/c) assuming c is positive.
c**(-22/21)
Simplify (j/((j/(j**(2/7)*j)*j*j)/j))/(((j/(((j**(-2/21)/j*j)/j)/j*j*j*j))/j)/j) assuming j is positive.
j**(46/21)
Simplify (x**(2/113))**(-38) assuming x is positive.
x**(-76/113)
Simplify (t**(-16)*t**(-9)*t)**(-43) assuming t is positive.
t**1032
Simplify ((p/(p/(p*p/(p**0*p))*p))**45)**(2/83) assuming p is positive.
1
Simplify (w**4/w**(-1/5))/(w**(-1)*w*w*w*w*w**6*w) assuming w is positive.
w**(-29/5)
Simplify a/(a*a**(-1/6))*a*a*((a**4*a)/a)/a*a assuming a is positive.
a**(37/6)
Simplify (y*y**(-42))/y**(-23/2) assuming y is positive.
y**(-59/2)
Simplify (y**(-3)/(y**(-1/2)*y))/(y*y**(-1)/y*y**(-4/9)/y) assuming y is positive.
y**(-19/18)
Simplify s**1*s**(-4/17)*s assuming s is positive.
s**(30/17)
Simplify ((m/((m**(-2)/m)/m*m*m))/m)**3/(m**(1/2)/(m*m*m**(-1/7))) assuming m is positive.
m**(103/14)
Simplify (d/(d*(d/(d**(-2/5)*d)*d)/d))/d**(-1)*(d**(-2/5))**(24/5) assuming d is positive.
d**(-33/25)
Simplify (v*v/((v*(v*v/v**(-1/2))/v)/v))**3 assuming v is positive.
v**(3/2)
Simplify r**40*r**(4/33) assuming r is positive.
r**(1324/33)
Simplify (k/(((k*k**7*k)/k)/k*k))**(6/5) assuming k is positive.
k**(-42/5)
Simplify (f*f**(4/5)/f*f*f*f**(-2/13))**28 assuming f is positive.
f**(4816/65)
Simplify (z**(-2)/z**(1/14))**(2/11) assuming z is positive.
z**(-29/77)
Simplify (n/((n/n**(-3/8))/n*n))/(n*(n*n/n**3)/n) assuming n is positive.
n**(5/8)
Simplify (c**(-3)*c)**(-11) assuming c is positive.
c**22
Simplify (x**(-1/2))**24/(x**(-1))**(2/21) assuming x is positive.
x**(-250/21)
Simplify (g**(-2/3))**(1/5) assuming g is positive.
g**(-2/15)
Simplify (d/(d*d*(d/d**(-17))/d))**(-2/65) assuming d is positive.
d**(36/65)
Simplify (j**(-4/9))**(-3) assuming j is positive.
j**(4/3)
Simplify (z**(2/3))**(1/30)/(((z**(-2)/z)/z)/z**(-1/6)) assuming z is positive.
z**(347/90)
Simplify f**(2/21)*f*f*f/((((f/f**(-1))/f)/f)/f)*f*f**(-3/7)/((f/(f**(-6)*f))/f) assuming f is positive.
f**(-1/3)
Simplify o/(o**(-7/5)/o)*(o*o/o**(-13/2))/o assuming o is positive.
o**(109/10)
Simplify (b*b**1)/b*b*b**(-3/7) assuming b is positive.
b**(11/7)
Simplify (j**(-4)*j**(-2)/j)**29 assuming j is positive.
j**(-203)
Simplify (k**(-1/8)*(k**(3/7)*k)/k)/(k**0/k)**22 assuming k is positive.
k**(1249/56)
Simplify ((g/((g*(g*g*g**(2/3))/g)/g))**(3/32))**(-3) assuming g is positive.
g**(3/16)
Simplify ((z*z**9)/z)**(4/17) assuming z is positive.
z**(36/17)
Simplify (v**(-1))**(-21)/(v*v/v**(-2))**(-17) assuming v is positive.
v**89
Simplify ((n*n/(n/n**(-2/5)))/n**(1/18))**(19/6) assuming n is positive.
n**(931/540)
Simplify ((y/((y**4*y)/y))/y**(-1/4))/((y/y**(-2))/((y/(y*y*y/(y*y*y**(1/3)*y)*y))/y)) assuming y is positive.
y**(-77/12)
Simplify k*k*k**(-1/30)*k*k*k**12/k assuming k is positive.
k**(449/30)
Simplify (g**11*g)**(2/55) assuming g is positive.
g**(24/55)
Simplify (y**15*y)/(y/(y/(y*y**(-1/4)))) assuming y is positive.
y**(61/4)
Simplify (z*(z/(z/z**(-2/43)))/z)**(-4/3) assuming z is positive.
z**(8/129)
Simplify q**(-7)*q*q*q**(1/10)/q*(q/(q/(q/q**3)*q*q))/(q**(2/7)/q) assuming q is positive.
q**(-643/70)
Simplify ((((m*m**8*m*m*m)/m)/m)/m)/m*m*m**(-8)*m/m**(-4/3)*m/(m*(m*m**(-2)*m*m*m)/m) assuming m is positive.
m**(7/3)
Simplify (o/(o/o**(4/3)))/(o/(o/(o*o/(o*o*o**(-2/11)/o)*o)))*o*o*o/(o*o/o**(-2)*o)*o**(3/5)*o assuming o is positive.
o**(-206/165)
Simplify y**(-6)*y*y**(1/2) assuming y is positive.
y**(-9/2)
Simplify k**(-13)*k**(10/7) assuming k is positive.
k**(-81/7)
Simplify q**(-5)*q**11 assuming q is positive.
q**6
Simplify ((l/(l*l*l*l**(1/4)))/l*l*l)**(-9/4)/((l/l**(-5/3))/l**4) assuming l is positive.
l**(199/48)
Simplify x**(-21/5)*x*x**(1/4) assuming x is positive.
x**(-59/20)
Simplify (((((l**2/l)/l)/l*l)/l)/l)**(-47)/(l*(l*l**(-3)*l)/l*l**(-5/6)) assuming l is positive.
l**(575/6)
Simplify j**(3/5)*j**(6/5)*(j/j**(2/5))**(-26) assuming j is positive.
j**(-69/5)
Simplify ((f**0*f)**(1/26))**(3/22) assuming f is positive.
f**(3/572)
Simplify (b*b**0)/(b/(b**(-1/4)/b*b))*b**(4/3)*(b**5/b)/b assuming b is positive.
b**(49/12)
Simplify (i*i/(i/i**12)*i)/(i*i*i**(-12)) assuming i is positive.
i**24
Simplify (m**20*m)/m*m**11*m assuming m is positive.
m**32
Simplify ((s/(s*s**(1/3)))/s**(-5))**(13/3) assuming s is positive.
s**(182/9)
Simplify a**(11/6)*a/(a**10*a)*a assuming a is positive.
a**(-43/6)
Simplify (m**(-1)*m**(-1/2))**(-6) assuming m is positive.
m**9
Simplify ((o**(-3)/o)/o)/o*o**6*o**(2/7)*o**(-5) assuming o is positive.
o**(-33/7)
Simplify (d**2/d)**47/(d**1*d)**9 assuming d is positive.
d**29
Simplify g/g**(-20)*g*(g**(-9)/g)/g assuming g is positive.
g**11
Simplify u**(-7)/u**(-1/2)*u*u**(1/5)*u**3 assuming u is positive.
u**(-23/10)
Simplify (((j*j**5)/j)/j*j**8*j)/((j*j/(j*j/(j*j*j/j**(-2/5))*j*j*j*j))/j)**(-31) assuming j is positive.
j**(-183/5)
Simplify (b**0)**(3/5)*(b**0/b)**41 assuming b is positive.
b**(-41)
Simplify z**(1/5)*z/z**(1/29) assuming z is positive.
z**(169/145)
Simplify (c*c**(1/10))**(-45) assuming c is positive.
c**(-99/2)
Simplify ((y**4)**(-1/13))**10 assuming y is positive.
y**(-40/13)
Simplify ((r**8/r)**(-22))**(-14/11) assuming r is positive.
r**196
Simplify (c/c**(-3/2)*c**4*c)**(2/13) assuming c is positive.
c**(15/13)
Simplify u**(-6/11)/u*u*u**(2/11) assuming u is positive.
u**(-4/11)
Simplify ((g/(g*g**(-5)/g*g))/g**(4/9))/(g**(-4/7)/(g*g/(g/g**4)*g)) assuming g is positive.
g**(701/63)
Simplify ((r/r**(1/5))**(-31))**(-14/9) assuming r is positive.
r**(1736/45)
Simplify (k/((k**(2/5)*k)/k)*k)**16/(k**(-2/11)*k**(5/3)) assuming k is positive.
k**(3979/165)
Simplify ((t*t**(-7))/(t/(t**(-3/2)/t)))/(((t**1*t)/t)/t)**(-2/27) assuming t is positive.
t**(-19/2)
Simplify n*n**(-12)*n*n**(-29) assuming n is positive.
n**(-39)
Simplify (p/p**(-1))/(p/((p/((p**3/p)/p)*p)/p))*(p*p**2)/p*p**(-1/2)*p assuming p is positive.
p**(7/2)
Simplify (l*l/(l/l**(1/8)))**(19/2) assuming l is positive.
l**(171/16)
Simplify f**16/((f**(-18)/f*f)/f) assumin
|
{
"pile_set_name": "DM Mathematics"
}
|
reatest common divisor of 976 and q.
61
Let z(w) = w**2 + 15*w - 8. Suppose 2*n = -3*d - n - 63, 3*n + 9 = 0. Let h be z(d). Calculate the highest common factor of 46 and h.
46
Suppose 2786*r = 2797*r - 847. Let y(p) = 7*p + 5. Let t be y(4). Calculate the greatest common factor of r and t.
11
Let m(d) = 2*d**2 - d + 2. Let r = -28 + 30. Let x be m(r). Calculate the greatest common divisor of 24 and x.
8
Let k = 100 + -104. Let x be k/34 + 688/68. What is the greatest common divisor of 80 and x?
10
Suppose 5*j - 25 = 0, 2*k - 2*j - j = -43. Let l be k/6*66/(-2). Calculate the greatest common factor of 11 and l.
11
Suppose 2*g = 4*l, -2*g + 6 = -0*g - 2*l. Let c = g - 5. Let p be 1 + c*(0 + 12). Calculate the greatest common divisor of p and 39.
13
Suppose 504 = 3*g + 3*y, -3*g + 2*y - 852 = -8*g. What is the greatest common factor of 86 and g?
86
Let l(q) = -q + 2. Let k be l(-5). Let r(n) = 2*n**2 - 27*n + 70. Let p be r(3). Calculate the highest common divisor of k and p.
7
Let p(f) = -f**3 + 10*f**2 - 9*f. Let z be p(7). Let h = z + -69. Calculate the greatest common factor of 75 and h.
15
Let x be (155/15 - 11)*81/(-2). Let i(p) = -p**2 - p - 23. Let k be i(0). Let d = k + x. What is the greatest common factor of d and 2?
2
Let q be 12/(-20) - (-96)/10. Let x be (-2)/q - 644/(-63). Suppose -4*t - 108 = -x*t. What is the highest common factor of t and 54?
18
Let l be 10*3*(-48)/(-20). Suppose 5*m - l = -m. What is the highest common divisor of 60 and m?
12
Let q = 766 - 662. What is the highest common factor of 144 and q?
8
Let u(z) = 5*z**2 + z + 53. Let o(p) = -p + 1. Let n be o(1). Let k be u(n). What is the greatest common divisor of 106 and k?
53
Let j = -185 - -302. What is the highest common divisor of j and 9?
9
Suppose -2*l - 4*n + 595 = -2433, n = 2*l - 3003. Calculate the highest common factor of l and 64.
32
Suppose 1654 = 18*f + 34. Calculate the greatest common factor of 210 and f.
30
Suppose 0 = -2*g - 5*d + 116, -3*d = -5*g - 0*d + 321. What is the highest common divisor of g and 7?
7
Suppose -8 = -15*t + 11*t. What is the highest common factor of t and 1?
1
Let y(r) = -12*r - 4. Let l be y(-1). Let q = 19 - l. What is the highest common factor of 55 and q?
11
Let q(v) = -23*v - 15. Let o be q(-4). What is the highest common factor of o and 616?
77
Let p = -1454 - -1455. What is the highest common divisor of 5 and p?
1
Suppose 0*v = -v. Let h = 78 - 43. Suppose b - h = -5*r, -5*b + v*b = 4*r - 196. What is the greatest common divisor of 4 and b?
4
Suppose 9*w + 448 = 13*w. Suppose 30 = 2*o + 2*k, 0 = -2*o + o + 5*k + 9. Calculate the greatest common factor of o and w.
14
Let l(u) = 0*u**2 - 6 + 5*u**2 - 2*u**2 + 13*u + 19. Let g be l(-6). What is the highest common factor of g and 86?
43
Let f(l) = -15*l**3 - 5*l**2 - 18*l - 26. Let t be f(-2). What is the highest common divisor of 341 and t?
11
Let a = 413 + -248. Calculate the highest common divisor of 15 and a.
15
Suppose 0 = f + i - 19 + 4, -12 = -4*i. Let n be 4/f*(171 - 0). Let p be 3/(-12) - 153/(-4). What is the greatest common factor of n and p?
19
Let g = -163 - -372. What is the greatest common divisor of 22 and g?
11
Let r(a) be the first derivative of -a**4/4 - 5*a**3/3 + 11*a**2/2 - 9*a + 8. Let y be r(-7). Calculate the highest common factor of y and 72.
12
Let k be 20/(-9) + 4/18. Let r be -1 + 257 + (k - -5). Calculate the greatest common divisor of r and 37.
37
Suppose 3*k + 4 - 10 = 0. Suppose 4*c = -k*j - 64, j = -j + 3*c - 71. Let f be (-3172)/(-18) - j/(-153). Calculate the greatest common factor of f and 16.
16
Suppose 1 = 4*x - 7. Suppose -b + 5*h = -1 - x, 3*h - 19 = -2*b. Suppose 4*k + 60 = 3*t, 2*t = -0*t - 2*k + 26. Calculate the highest common factor of t and b.
8
Suppose 5*j + 44 = 2*s, 2*s + 3*s = 4*j + 76. Calculate the highest common divisor of 3012 and s.
12
Suppose 10 = -2*f, l - 2*f - 18 = -3*l. Suppose 12 = -w + 4*w. Suppose 2 + l = z, -4*s + w*z = -64. What is the highest common divisor of s and 140?
20
Suppose -2 = 94*f - 95*f. Let h = -4 - -6. Suppose -5*x + 40 = 2*l + 4, -f*l + 18 = h*x. Calculate the greatest common factor of x and 9.
3
Suppose -3*g - 152 = -7*g. Suppose g + 27 = -5*w. Let r = w - -35. What is the highest common factor of r and 66?
22
Suppose 21*p - 146 - 442 = 0. Calculate the greatest common divisor of 35 and p.
7
Let x be 0/(-2) - (5 + -1 + -50). What is the greatest common factor of x and 736?
46
Let g(s) = 16*s**2 - 10*s - 16. Let u be g(-2). What is the greatest common factor of 306 and u?
34
Suppose 2*b + 4*q = 180, 3*b + q - 276 = -2*q. Suppose -4*r = f - 28, -2*f + 5*r + b = 12. Calculate the highest common divisor of 144 and f.
36
Suppose 0*c = 3*c - k - 24, k - 24 = -3*c. Let y be (234/4)/(6/c). Suppose 4*m + 51 = 4*u - 5, -5*u - 3*m = -y. Calculate the highest common factor of 30 and u.
15
Let y(k) = -43*k + 146. Let n be y(-8). What is the greatest common divisor of 10 and n?
10
Suppose -2*h = 4*l - 72, -5*h = -2*h - l - 73. Suppose -283*y = -277*y - 234. What is the greatest common factor of y and h?
13
Let i be (8/3 + -3)/((-8)/480). Let j(x) = -x + 14. Let g be j(6). What is the greatest common factor of i and g?
4
Let u(x) = -x**2 - 4*x + 11. Let z be u(-5). Let s be (-3 - -90) + z + -3. Let c be ((-80)/(-6))/(15/s). Calculate the highest common divisor of 16 and c.
16
Let l be ((-4)/(24/18))/((-6)/(-8)). Let y be ((-8)/4 - -8)/(l/(-6)). Calculate the highest common divisor of y and 9.
9
Let m = -4 - -11. Let p = m + 10. What is the greatest common factor of p and 34?
17
Suppose 2*q + 3*r - 47 = 0, -q + 3*r = -49 + 12. Let y be (8 - 13 - (-23)/4) + 486/24. What is the greatest common factor of q and y?
7
Let i(k) = 15*k + 13 - 1 - 22*k - 5*k**2 + k**3 + 14*k. Let f be i(4). Let c = 30 + -14. What is the highest common divisor of f and c?
8
Suppose -6 = -5*u + 6*u. Let w be (-2 - u/3)*1. Suppose -n = -b + 6, w = 2*b - 4*n - 0 - 4. What is the highest common divisor of 110 and b?
10
Let o = -42 - -66. What is the greatest common factor of 60 and o?
12
Suppose 56*v - 9*v - 5170 = 0. Calculate the highest common factor of 210 and v.
10
Suppose 4*g = 0, g = 3*f - 0*g - 66. Let u = 41 - f. Suppose -u = -3*y - l, -5*y + 43 = -3*l - l. Calculate the highest common divisor of y and 49.
7
Suppose -11*p = -8*p - 792. Suppose a + 4*k - 88 = 0, -3*a + p = 6*k - 5*k. Calculate the greatest common divisor of a and 132.
44
Let j(r) = r**2 - 6*r + 4. Suppose -4*p + 2*a + 52 = 6*a, -2*p = -2*a - 14. Let k be j(p). Calculate the greatest common factor of k and 4.
4
Suppose 47*y - 46*y = 4*f - 302, -5*f + 3*y = -381. Suppose -3*g - 6 + 156 = 0. Calculate the highest common factor of f and g.
25
Let b be (2 - 0) + 8 + -16. Let c be 80/b + 7/21. Let l(u) = -u**3 - 13*u**2 - 3*u + 11. Let m be l(c). What is the highest common divisor of m and 10?
10
Suppose -4*c = 3*i - 4*i + 4, 4*c - 4*i = -4. Let t be c*-7*2*1. Let q = -205 + 331. What is the highest common factor of t and q?
14
Suppose -82*c = -83*c + 231. Calculate the greatest common divisor of 385 and c.
77
Suppose 5*z + 344 = 9*z - 4*m, -5*z = -2*m - 442. Suppose -n + z = 8*n. What is the highest common factor of n and 110?
10
Let f be 50/75 + (-106)/(-3). What is the highest common divisor of 54 and f?
18
Let l(c) = c**3 - 4*c**2 - 2*c - 5. Let h be l(5). Let j = h - -4. Suppose 0*f + 55 = f - 3*g, 0 = 5*g - 25. What is the highest common factor of f and j?
14
Let o be (-124)/(-682) - (-1120)/11. What is the highest common divisor of 544 and o?
34
Suppose 0*o + 4 = 4*o. Let v be (580/870)/((1/(-6))/(-1)). Calculate the highest common divisor of v and o.
1
Suppose -4432 = -4*z - 4*y, -5*z - 3125 = 3*y - 8671. Calculate the highest common factor of 404 and z.
101
Suppose 2*m + 0*m = f - 10, 5*f - 14 = m. Suppose 5*j + 5*b = 5, -j - 5*b = -f*b + 9. Calculate the highest common factor of j and 3.
3
Let y = 127 - 118. Let g be (-128)/(-3) - (28/(-3) + y). Calculate the highest common divisor of g and 301.
43
Let q be (-1)/(((-13)/(-4))/13). Let p be -1 - (0/1)/(-2). Let g be -1 - 140/q - p. What is the highest common factor of 7 and g?
7
Let c(h) = 5*h - 20. Let a be c(7). Suppose 5*l = a*l - 1320. What is the highest common divisor of l and 12?
12
Let o = 57 + -82
|
{
"pile_set_name": "DM Mathematics"
}
|
et h(s) = -26*d(s) - 12*t(s). Let i(k) = -14439*k. Give h(i(j)).
28878*j
Let s(h) be the first derivative of 10*h**2 - 4881. Let b(f) = 4*f**2 - 3*f + 3*f. What is s(b(i))?
80*i**2
Let o(q) = 18*q**2. Suppose -20*w + 7*w + 728 = 0. Let j(z) = w*z - 112*z + 58*z. What is o(j(h))?
72*h**2
Let c(l) = -474*l - 290. Let k(w) = 237*w + 116. Let i(u) = -2*c(u) - 5*k(u). Let d(b) = 2*b. Let r(f) = 3*f. Let z(x) = -7*d(x) + 5*r(x). What is i(z(n))?
-237*n
Let z(y) = 786724*y**2. Let o(r) = 6*r. Give o(z(i)).
4720344*i**2
Let a(u) be the third derivative of -11*u + 0*u**3 + 0 - 5*u**2 - 1/6*u**4. Let b(v) = 5 - 6*v**2 - 5. Determine a(b(i)).
24*i**2
Let f(v) = -3*v. Let c(m) = -48547*m - 2. What is c(f(t))?
145641*t - 2
Suppose 0*f + 540 = 3*f. Suppose n - f = -2*n. Let a(i) = -123 + 63 + n + 15*i. Let h(b) = b**2. Determine a(h(q)).
15*q**2
Let l(v) = 2*v**2. Suppose -5*b + 2*s + 45 = 0, 5*b - 6*b - 2*s = -9. Let k be (-26)/(-4) + (-1)/(-2). Let u(f) = -4*f + k + 0*f - b. Calculate u(l(m)).
-8*m**2 - 2
Let m(s) = -2 - 5*s**2 + 7 - 1. Let o(j) = 0*j**2 + 1877249*j - 1877249*j - 2*j**2. What is m(o(y))?
-20*y**4 + 4
Let q(i) = -2*i. Let s be 6 - 1 - (1 - -1). Suppose -183*x + 300 = -178*x. Let j(k) = x*k**2 + 3*k - s*k - 52*k**2. Determine j(q(d)).
32*d**2
Let o be 4644/1620 + (-116)/30 + 4. Let a(c) be the third derivative of 1/12*c**4 + 0 + 19*c**2 + 0*c**o + 0*c. Let m(z) = -33*z. Determine m(a(h)).
-66*h
Let j(f) be the third derivative of 3*f**4/2 - f**3/3 + 27*f**2 - 28*f. Let i(x) = 6*x**2. Determine j(i(w)).
216*w**2 - 2
Let q(s) = 37344*s**2 + 920. Let p(f) = 5335*f**2 + 138. Let c(d) = -20*p(d) + 3*q(d). Let b(h) = 2*h**2. What is c(b(o))?
21328*o**4
Let x(o) = 5*o**2. Let g(w) = 81505438*w. Calculate x(g(k)).
33215682117859220*k**2
Let f(w) = -7*w. Let y(q) = -7*q + 142. Let d be y(20). Let m(t) = -10*t**2 - 14*t**2 + 41*t**d - 10*t**2. Calculate f(m(o)).
-49*o**2
Let i(m) be the first derivative of 20599*m**3/3 - 14776. Let o(u) = 2*u. Calculate i(o(y)).
82396*y**2
Let c(h) = h**2. Let j(y) be the first derivative of 1001*y**3/3 + y**2/2 - 2195. What is j(c(d))?
1001*d**4 + d**2
Let n(x) = -1307*x**2. Let v(t) = -8*t + 45. Let s(d) = -3*d + 15. Let o(i) = -3*s(i) + v(i). Calculate o(n(b)).
-1307*b**2
Let j(z) = 109 - 3*z**2 - 38 - 40 - 31. Let d(h) = -6*h**2 - 1. What is d(j(q))?
-54*q**4 - 1
Let g(z) = -z**2 + 194. Let o(q) = -3053*q. What is o(g(r))?
3053*r**2 - 592282
Let h(z) = -1. Let t(n) = 23*n + 92. Let q(b) = -92*h(b) - t(b). Let f(j) = 13*j + 66. Let g(x) = -28*x - 143. Let s(k) = -13*f(k) - 6*g(k). What is s(q(l))?
23*l
Let c(d) = -6629*d. Let t(k) be the first derivative of -k**3/3 - 7172. Give t(c(f)).
-43943641*f**2
Let f(i) = 20*i**2. Let l = 50 - 40. Let m be 15/l - (-4)/8. Let j(v) = -3*v**2 + 3*v**m + 2*v**2. Calculate j(f(w)).
800*w**4
Let t(o) = 3*o - 13*o - 5*o + 22*o - 4*o. Let y(p) = 107 - 107 + 36*p. Calculate t(y(f)).
108*f
Let t(z) be the third derivative of -z**5/30 + 5*z**2. Let f(v) = 0 + 0 + 1 - 9*v. Calculate t(f(c)).
-162*c**2 + 36*c - 2
Let r(u) = -6*u**2. Let y = -33 - -35. Suppose y*l + 3*l - 30 = 0. Let q(a) = -3*a**2 + 2*a**2 - l*a**2 + 0*a**2. Determine q(r(x)).
-252*x**4
Let s(r) = 49 - 2*r**2 - 105 + 56. Let z be (76/16)/((-1)/(-4)). Let u(c) = 19 + 13*c - z. Calculate s(u(q)).
-338*q**2
Let o(r) = 82*r**2. Suppose 2*m - 157 - 5401 = 2*c, 0 = 5*m - 3*c - 13891. Let z(k) = -5*k**2 - 2777*k + m*k + 6*k**2. What is o(z(j))?
82*j**4
Suppose -239*c = 117*c - 4*c. Let f(j) be the second derivative of c*j**2 - 1/3*j**3 + 0 + 16*j. Let k(d) = -d + 27. Calculate k(f(x)).
2*x + 27
Let c(w) = 130330*w**2. Let a(d) = -19*d**2. Give c(a(m)).
47049130*m**4
Let j(g) be the first derivative of 5*g**3/3 + 1227. Let t(w) = -w**2 - 51*w. Give j(t(o)).
5*o**4 + 510*o**3 + 13005*o**2
Let k(v) = v**2. Let p(c) = 668*c + 53. Let n(x) = -158*x - 13. Let q(y) = -9*n(y) - 2*p(y). Calculate q(k(o)).
86*o**2 + 11
Let r(g) = 8052*g**2. Let w(z) = 17*z. Let n(h) = 45*h. Let u(b) = -3*n(b) + 8*w(b). Give r(u(v)).
8052*v**2
Let c(t) = -64*t + 1. Let d(z) = 2*z**2 + 187563*z - 1. Determine c(d(p)).
-128*p**2 - 12004032*p + 65
Let w = -571 - -578. Let t(a) = 37 + 9*a - 37 + w*a + 0. Let j(o) = -o**2 + 2*o**2 + 0*o**2. Calculate t(j(d)).
16*d**2
Let x(j) = 234280*j**2 - 9*j. Let p(c) = -6*c. What is p(x(w))?
-1405680*w**2 + 54*w
Let g(d) = 57*d**2 + 62*d**2 + 59*d**2 + 62*d**2 - 252*d**2. Let y(x) = x**2 + 94. Determine y(g(p)).
144*p**4 + 94
Let a(j) = -198*j. Let d(n) = 52*n**2 + 12*n - 96. Let p(c) = -21*c**2 - 5*c + 40. Let k(r) = 5*d(r) + 12*p(r). Calculate k(a(y)).
313632*y**2
Let f(p) = -4080 - 9*p + 4080. Let w(b) = -47*b**2 - b. Give f(w(j)).
423*j**2 + 9*j
Let q(h) = -1445*h. Let a(z) = -8*z**2 - 2*z + 7267. Determine a(q(v)).
-16704200*v**2 + 2890*v + 7267
Let n(z) = 4*z**2 - 10*z - 145. Let c(w) = -6*w**2 + 16*w + 232. Let j(f) = 5*c(f) + 8*n(f). Let m(o) = -1438*o - 2. Calculate j(m(r)).
4135688*r**2 + 11504*r + 8
Let f(u) be the third derivative of 0*u**3 + 0 + 1/60*u**5 + 0*u**4 + 0*u - 203*u**2. Let o(r) = -7 + 0 + 0 - 2*r**2. Determine o(f(a)).
-2*a**4 - 7
Suppose -57*v + 46*v + 935 = 0. Let b(i) = -19*i - v - 82 + 167. Let o(s) = -s. Let g(t) = -3*t. Let w(r) = 2*g(r) - 5*o(r). Calculate b(w(a)).
19*a
Let t(a) = -323*a + 258452 - 258452. Let n(l) = -l. Give t(n(d)).
323*d
Let l(i) = 24145*i. Let h(p) = 4*p + 1927. Determine h(l(c)).
96580*c + 1927
Let i(g) = g + 1378. Let m(l) = -2*l - 2770. Let b(q) = 7*i(q) + 4*m(q). Let w(a) = -a. Determine w(b(h)).
h + 1434
Let s(j) = 133*j**2. Let g(a) be the first derivative of -a**2 - 345. Give s(g(f)).
532*f**2
Let j(p) = -14*p**2. Let g(k) = -1835864*k. Calculate g(j(d)).
25702096*d**2
Let z(d) = -5*d - 9. Let u(n) be the second derivative of 1/6*n**4 + 28*n + 0 + 0*n**2 + 0*n**3. Determine u(z(b)).
50*b**2 + 180*b + 162
Let t(i) = -i**2 - 19*i**2 + 2*i**2. Let w(o) be the third derivative of 5*o**5/12 - 14537*o**2. Give t(w(d)).
-11250*d**4
Let c(w) = -65*w**2 - 9 + 7 + 2. Let i(d) = -37*d**2 + 8*d**2 + 10*d**2 + 11*d**2 + 10*d**2. Give i(c(s)).
8450*s**4
Let u(x) = x**2 - 2*x - 135. Let f be u(-11). Let n(i) be the second derivative of -1/3*i**3 + 0 + 0*i**2 + f*i. Let a(q) = -25*q**2. Give a(n(b)).
-100*b**2
Let a(w) = 223*w**2 - 2. Let s(o) = 10*o - 3. Calculate s(a(g)).
2230*g**2 - 23
Let r(d) = -3*d**2. Suppose 134*i = 130*i + 32. Let a(v) = 19*v + i*v - 48*v. Give a(r(n)).
63*n**2
Let m(y) = 12*y**2. Let a(p) = -p + 3. Let x(k) = 32*k + 9. Let w(v) = -3*a(v) + x(v). Let b(h) = 11*h. Let d(z) = 7*b(z) - 2*w(z). Calculate m(d(i)).
588*i**2
Let u(i) = i**2. Let g(c) = -9*c**2 + 10*c + 50. Let b(x) = -4*x - 85 + 19 - 2*x + 5*x**2 + 42. Let o(y) = 5*b(y) + 3*g(y). Calculate o(u(j)).
-2*j**4 + 30
Let s(c) = 12*c**2. Let i(q) = -3*q**2 - 5508*q. Determine i(s(u)).
-432*u**4 - 66096*u**2
Let l(s) = -93*s. Let x(c) = -155 + 313 - 158 + 6*c + 7*c. Give l(x(n)).
-1209*n
Let t(c) = c**2. Let i(x) = -x - 2. Suppose 0 = -4*h + 3*n - 9, -h - 7*n = -2*n + 8. Let f(r) = 153*r + 272. Let o(k) = h*f(k) - 408*i(k). Calculate o(t(j)).
-51*j**2
Let v be (0 - 2)*((-12 - -9) + -6). Let c(z) = 798*z - v*z**2 - 798*z. Let b(y) = -4*y + 4*y - y. Give c(b(p)).
-18*p**2
Let g(h) = -57*h. Let m(d) = 5*d + 14. Let a(q) = -4*q - 12. Let j(s) = -7*a(s) - 6*m(s). Let w(b) = -g(b) + 38*j(b). Let v(p) = 2*p. Give w(v(u)).
-38*u
Let y(l) = -102*l**2 + 464*l**2 - 331*l**2. Let a(x) = -3*x**2 + 2*x - 2. Let t(j) = -j**2 + j - 1. Let n(i) = 3*a(i) - 6*t(i). Give y(n(k)).
279*k**4
Let n(a) = -49*a**2 + 47081*a. Let i(z) = 2*z**2. Determine n(i(m)).
-196*m**4 + 94162*m**2
Let f(h) be the third derivative of -h**5/60 + 180*h**2 - 3. Let q(p) = -1. Let a(z) = 2*z - 5 - 1 - 2. Let x(s) = -a(s) + 8*q(s). Calculate f(x(y)).
-4*y**2
Let b(y) = 135*y + 30. Let n(w) = 4*w + 2. Let t(h) = -b(h) + 15*n(h). Let z(m) = m - 4. Let s(f) = 1. Let i(l) = -4*s(l) - z(l). Determine i(t(p)).
75*p
Let g(c) = -1 + 11 - 11 + 1 + 449*c. Let p(i) = -i. Calculate g(p(a)).
-449*a
Let r be 299/117 - 24/(-54). Let m(o) be the second derivative of 0*o**2 + 1/3*o**r + 20*o + 0. Let k(v) = 2*v + 2. Give m(k(x)).
4*x + 4
Let h(w) = -1755862*w. Let m(y) = -2*y. Calculate m(h(d)).
3511724*d
Let k(d) = 349*d**2. Let q(b) be the third derivat
|
{
"pile_set_name": "DM Mathematics"
}
|
*4 wrt b.
-1440*b**2
Let k(l) be the third derivative of -227*l**6/120 + 7*l**5/15 + 173*l**2. Find the third derivative of k(w) wrt w.
-1362
Let c = -25 - -30. Let t be 172/c - 3/(-5). Find the second derivative of -t - d + d**4 + 35 wrt d.
12*d**2
Let n(d) = -4*d - 6. Let g be n(-3). Find the third derivative of 29*a - 29*a + 10*a**2 + g*a**6 wrt a.
720*a**3
What is the second derivative of -34*v + 77*v**5 - 150*v**5 - 372*v wrt v?
-1460*v**3
Let q = 521 - 517. Let w(b) be the second derivative of 7*b + 0*b**3 + 1/12*b**q - 3/20*b**5 + 0 + 0*b**2. What is the third derivative of w(r) wrt r?
-18
Let u(k) = -k + 17. Let a be u(13). Find the third derivative of a*i**2 - 3*i**2 + 0*i**2 - 3*i**4 wrt i.
-72*i
Suppose 4*d - 4*q = -12, 0 = -5*q - 4 - 1. Let f be (d/3)/((-14)/63). What is the second derivative of 15*o**5 - 9*o**5 - 8*o**5 - f*o wrt o?
-40*o**3
Find the third derivative of 95*q**3 + 6*q + 16*q**2 - 12*q**2 - 8*q**2 wrt q.
570
Let y(r) be the third derivative of -5*r**5/4 + 95*r**4/24 + 3*r**2 - 11*r. Find the second derivative of y(f) wrt f.
-150
Find the second derivative of 48*x**2 + 1 - 55*x + 110*x + 13*x wrt x.
96
Let y(m) be the third derivative of m**7/42 + 17*m**6/60 + 208*m**3/3 + 378*m**2. Find the first derivative of y(g) wrt g.
20*g**3 + 102*g**2
Let b(o) be the third derivative of o**6/12 - o**5/30 - 331*o**4/24 - 228*o**2. Find the third derivative of b(z) wrt z.
60
Let i(g) be the third derivative of 0 + 13*g**2 + 0*g + 1/4*g**4 + 2/3*g**3. What is the first derivative of i(w) wrt w?
6
Let j = 9 + 13. Differentiate j*s + 33*s + 11 - 63*s with respect to s.
-8
Suppose 0 = 9*r - 30 + 30. Let s(f) be the first derivative of 0*f + r*f**4 - 10 + 3/5*f**5 + 0*f**2 + 2*f**3. Find the third derivative of s(l) wrt l.
72*l
Let l(b) = b**3 - 2*b**2 + b - 3. Let v(d) = 696*d**4 - 5*d**3 + 10*d**2 + 182*d + 15. Let f(q) = 5*l(q) + v(q). Find the second derivative of f(m) wrt m.
8352*m**2
Let z(q) = 18*q - 11. Suppose 0 = 3*n - 6, -o + n = 3*o + 34. Let x(f) = -12*f + 7. Let r(l) = o*x(l) - 5*z(l). What is the derivative of r(u) wrt u?
6
Suppose 3*p - 6*p = 714. Let n be (-6)/14 - p/98. Differentiate 0*b + 4 - 2*b - 8*b + n*b wrt b.
-8
Let p(a) be the first derivative of 1/2*a**6 + 0*a**5 + 0*a**3 + 0*a + 13 + 0*a**4 + 9/2*a**2. What is the second derivative of p(j) wrt j?
60*j**3
Let a(d) be the first derivative of -17/4*d**4 + 0*d**2 + 16 + 0*d**3 + 15*d. Differentiate a(k) with respect to k.
-51*k**2
Let t(g) = -27*g - 22. Let b be t(-1). Let j(o) be the second derivative of 0*o**3 - 1/2*o**2 + b*o + 0 - 2/3*o**4. Find the first derivative of j(l) wrt l.
-16*l
Find the second derivative of 9*v + 7*v - 22*v + 19 + 27*v**4 - 20*v**4 + 12*v - 2*v**2 wrt v.
84*v**2 - 4
Let r(l) = 2*l**2 - 7*l - 2. Let c be r(4). Let k(y) = 5*y**2 + 2*y - 1. Let q be k(1). Differentiate -2*h + 2*h - 5 + q + c*h**2 wrt h.
4*h
Let l(a) be the second derivative of -110*a**3/3 + 21*a**2 - 449*a. Differentiate l(z) wrt z.
-220
Let w(v) = -v**3 + 6*v**2 - 2*v + 16. Let t be w(6). Differentiate -t*p - 33 + 10*p**3 + 4*p - 6*p**3 with respect to p.
12*p**2
Let u be 0*(-3)/(-4)*28/(-42). Let g(j) be the first derivative of 7/4*j**4 + u*j**2 + 0*j - 3 - 7/3*j**3. What is the third derivative of g(h) wrt h?
42
Let a(c) be the first derivative of -3*c**4/4 + 22*c**3/3 + 9*c**2 - c + 248. Find the second derivative of a(d) wrt d.
-18*d + 44
Let c(o) = -380*o + 310. Let u(f) = -2*f + 2. Let m(q) = c(q) - 4*u(q). What is the derivative of m(z) wrt z?
-372
Let c(x) be the third derivative of 2*x**5/3 - x**4/4 - x**3/6 + 4*x**2 + 20. Find the second derivative of c(t) wrt t.
80
Let j(w) be the first derivative of 2*w**7/7 + 19*w**5/5 - 91*w**3/3 - 270. What is the third derivative of j(v) wrt v?
240*v**3 + 456*v
Let m(j) be the third derivative of -15*j**4/8 - 7*j**3/3 + 46*j**2. Find the first derivative of m(u) wrt u.
-45
Let v(t) = -t**3 + 4*t**2 + 6*t - 3. Let j be v(5). Let l = j - -1. Find the third derivative of 6*q**l + 122*q**2 - q + q - 126*q**2 wrt q.
36
Find the third derivative of 25*t**2 + 150*t**4 - 3*t**2 + t**3 - 20*t - 23*t - 8*t**2 - 13*t**2 wrt t.
3600*t + 6
Let f be 42/28 - 9/6. Let m(h) be the second derivative of -4/3*h**3 + 0*h**2 + f - 8*h + 7/6*h**4. Find the second derivative of m(n) wrt n.
28
Let y(x) be the third derivative of 0*x**4 - 15*x**2 - 1/24*x**6 + 0*x**5 + 3/2*x**3 + 0 + 0*x. Differentiate y(s) wrt s.
-15*s**2
Let p(m) be the third derivative of m**5/60 - m**4/3 - m**2. Let l be p(9). What is the third derivative of -16*n + 14*n**2 - l*n**3 + 16*n wrt n?
-54
Let n(j) = 7*j + 3. Let s(c) = -13*c - 6. Let u(z) = 2*z**2 + 3*z - 2. Let o be u(2). Suppose 4*t - o = t. Let b(m) = t*s(m) + 7*n(m). Differentiate b(h) wrt h.
-3
Let l(v) = 182*v**3 - 6*v**2 + 55. Let d(y) = -365*y**3 + 10*y**2 - 112. Let f(m) = -3*d(m) - 5*l(m). What is the first derivative of f(u) wrt u?
555*u**2
Let h be -4 + 6 + (-14)/(-1). Let m = h + -13. Differentiate 0 - 3*y**2 + 0*y**2 - m + 0 with respect to y.
-6*y
Let p(q) be the third derivative of -59*q**6/120 + q**4/8 - 223*q**3/6 - 2*q**2 - 19*q. What is the derivative of p(j) wrt j?
-177*j**2 + 3
Find the third derivative of 10*c**3 - c**2 + 6 + 10 + 7*c**2 + 172*c**3 - 17 wrt c.
1092
Let c(f) be the second derivative of 7/3*f**4 + 27/2*f**2 + 0*f**3 + 37*f + 0. Differentiate c(d) wrt d.
56*d
Let t be -2 + 5 + 11/((-44)/12). Let p(l) be the second derivative of t - 6*l - 1/2*l**2 + 3/2*l**3. Differentiate p(x) with respect to x.
9
Let a = 8 + -14. Let q be (a/4)/((-2)/4). Differentiate 0*f + q - 2*f + f + 3*f with respect to f.
2
Let q(z) be the third derivative of 5*z**4/6 + 5*z**3/3 + 5*z**2. Let v(c) = c + 4*c + 3*c - c + 3. Let a(d) = 6*q(d) - 17*v(d). Differentiate a(o) wrt o.
1
Let p(c) = -c - 1. Let d be p(-3). Find the second derivative of r**3 + 1740*r**2 - 1740*r**d - 16*r**3 + 2*r wrt r.
-90*r
Let k(u) = -246*u**2 + 93*u - 2. Let x(j) = -123*j**2 + 43*j - 1. Let w(f) = -2*k(f) + 5*x(f). What is the second derivative of w(a) wrt a?
-246
Let a(c) = 740*c**3 + 10*c**2 + 10. Let j(o) = 742*o**3 + 9*o**2 + 11. Let w(q) = 5*a(q) - 4*j(q). What is the third derivative of w(m) wrt m?
4392
Let z(j) = -j**2 - 18*j + 2. Let k be z(-18). Find the second derivative of -4*q**3 + k*q + 0*q**3 + 46*q**2 - 46*q**2 wrt q.
-24*q
Let k be 1 + (-1 - 0 - 2) - -57. What is the first derivative of 43 + 14*z**3 + 2*z - 2*z - k wrt z?
42*z**2
Let s(u) be the second derivative of 419*u**5/10 + 253*u**3/2 + 91*u. Find the second derivative of s(j) wrt j.
5028*j
Let f(c) be the second derivative of 16*c**8/7 + 35*c**4/3 - 200*c. What is the third derivative of f(r) wrt r?
15360*r**3
What is the third derivative of 0*b**3 - 4*b**3 + 57*b**4 + 66*b**2 - 47*b**4 wrt b?
240*b - 24
Let r = 16 + 3. Find the second derivative of -n - r*n**4 - n - 5*n wrt n.
-228*n**2
What is the third derivative of -37*f**5 + 1790*f - 4*f**2 + 4*f**2 - 1780*f + f**2 wrt f?
-2220*f**2
Let v = -40/17 - -205/51. Let w(u) be the first derivative of v*u**3 + 0*u + u**2 - 8. Find the second derivative of w(m) wrt m.
10
Let s(x) be the second derivative of -5*x**6/2 + 29*x**2/2 - 76*x. Find the first derivative of s(v) wrt v.
-300*v**3
Let f(n) be the third derivative of 33*n**6/40 - 11*n**5/60 - 131*n**2 - 1. Find the third derivative of f(x) wrt x.
594
Let z be -2 - -1 - (-2 + 3). Let g be (z/3)/((-20)/30). Find the second derivative of -3*t**2 + 1 + 0 - g + 2*t wrt t.
-6
Let r(j) be the first derivative of 221*j**3/3 + 44*j**2 + 514. Find the second derivative of r(c) wrt c.
442
Let n(o) be the third derivative of -69*o**6/40 + o**5/20 + 17*o**3/3 - 237*o**2. What is the third derivative of n(l) wrt l?
-1242
Find the third derivative of 159*i**2 - 297*i**2 - 410*i**2 - 128*i**3 - 63*i**3 wrt i.
-1146
Suppose -5*j - 5*s - 200 = 0, 15 + 25 = -j + 2*s. Let h = -35 - j. Find the second derivative of -6*c**4 + h*c + 0*c**5 + 6*c**4 + 7*c**5 wrt c.
140*c**3
Let d(h) be the third derivative of 103*h**4/12 + 89*h**3/3 + h**2 - 169*h. Find the first derivative of d(o) wrt o.
206
Let r(m) be the first derivative of 2*m**3 + 11 + 0*m**5 + 0*m**2 - 3/7*m**7 + 0*m**4 + 0*m + 0*m**6. What is the third derivative of r(a) wrt a?
-360*a**3
Let c(f) be the first de
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{
"pile_set_name": "DM Mathematics"
}
|
cond smallest value in -0.3, 5/16, 1, -1.3, 1/2, 0?
-0.3
Which is the third biggest value? (a) -3 (b) 3/14 (c) 2.81 (d) 10/9
b
What is the fourth smallest value in -3/2, -3, -90, 4.3, -3/5?
-3/5
What is the fourth biggest value in -0.8, 313, 0.4, 16089?
-0.8
What is the second biggest value in 10/217, 6, -4/3, 138/13?
6
What is the second biggest value in -0.3, 2, -6.3, 4.31, 140?
4.31
Which is the seventh biggest value? (a) -10/3 (b) 3 (c) -2 (d) -2/11 (e) -0.5 (f) -1.7 (g) -0.02
a
What is the second smallest value in 2, 521, 1/27056?
2
Which is the second biggest value? (a) -1/319 (b) -2 (c) 12766 (d) 3
d
What is the seventh smallest value in 1/5, -0.093, 2/9, -1.3, -7/5, 0, -0.6?
2/9
Which is the third smallest value? (a) 44 (b) -2 (c) 0.3 (d) 25 (e) 18.6 (f) -0.3
c
What is the second smallest value in 2/5, 65.4, 2, -912?
2/5
Which is the third smallest value? (a) -7235 (b) 1456 (c) -5
b
Which is the smallest value? (a) -89223 (b) -27 (c) -26
a
Which is the smallest value? (a) 1 (b) 0 (c) 6 (d) -1 (e) -1.121 (f) -4/9
e
Which is the biggest value? (a) -0.2 (b) -0.1 (c) -4/97 (d) -346344
c
Which is the fifth smallest value? (a) 61 (b) 10.0114 (c) 1 (d) -5 (e) -2/5
a
Which is the biggest value? (a) -4 (b) 0 (c) -34.9 (d) 40.01
d
What is the second biggest value in 0.15, 0.1, -15, 7.6914?
0.15
Which is the biggest value? (a) 0.510089 (b) 3 (c) 0
b
What is the seventh smallest value in -0.002, 66, -0.3, -0.2, -0.47, -4, -1/2?
66
What is the sixth smallest value in 0.4, -5/136, 5, -2, -12, -4/7, 48?
5
What is the biggest value in -4, -0.2, 2/7, 0.5, 11.56, -2/13, -737?
11.56
Which is the second biggest value? (a) -2/5 (b) -44 (c) -1 (d) 211 (e) 2.3 (f) 0.2 (g) -0.2
e
Which is the third smallest value? (a) -5/7 (b) -4 (c) -1659346
a
What is the fifth biggest value in -4, 64, 197, -1, 1.6, 6?
-1
What is the second biggest value in 1393, 0.008, -1259?
0.008
Which is the third biggest value? (a) 102440 (b) 34 (c) 6/13
c
Which is the second smallest value? (a) -55 (b) 87 (c) -4 (d) 0 (e) 3/5 (f) -3.6 (g) -13
g
What is the smallest value in -695835, 4, -0.5, 429?
-695835
Which is the third smallest value? (a) 30.02 (b) 4 (c) 1/8 (d) -5 (e) 2.1 (f) -1/8
c
Which is the second biggest value? (a) -0.5 (b) 0.1 (c) 31 (d) -3683 (e) -4 (f) -0.3 (g) -3/5
b
Which is the third biggest value? (a) -2/11 (b) -12 (c) 106084 (d) -0.4
d
Which is the sixth biggest value? (a) -2 (b) 1/17 (c) 36 (d) 99 (e) 0.03 (f) -5
f
What is the second smallest value in 5, -381/7, -232/7?
-232/7
Which is the sixth smallest value? (a) -800/7 (b) -5 (c) -3/2 (d) 3 (e) -3 (f) -0.058
d
What is the third biggest value in 3, -61, -51.7, -1/11?
-51.7
What is the second smallest value in 3, 5, 2/9, 0.5, 1, 9/4, 53?
0.5
What is the fourth smallest value in -0.1, 3, 0.5, -20, -2/16089?
0.5
What is the second biggest value in -5, 5, 7/2, -4, -9, 30, 1?
5
Which is the second biggest value? (a) 32 (b) 1 (c) -2.4892
b
Which is the third biggest value? (a) -9700 (b) 3 (c) -3 (d) -0.4
c
What is the sixth biggest value in -2, -77, -5, 1/5, -10579, 11?
-10579
Which is the fourth biggest value? (a) 3/10 (b) 0.5 (c) 4 (d) 1684452/19
a
What is the second smallest value in 68/5, 1.03, 0.0472?
1.03
Which is the second biggest value? (a) 0.1 (b) 16 (c) 0.0635 (d) -1 (e) 3 (f) -7/2
e
Which is the third smallest value? (a) -8/3 (b) -9 (c) -0.141 (d) -0.3 (e) 2/29
d
Which is the fifth smallest value? (a) -5/6 (b) -0.4 (c) 3/1210 (d) 0.4 (e) -4/5 (f) -12
c
Which is the fifth biggest value? (a) -9/376 (b) -124 (c) 1/2 (d) 0.2 (e) -0.04
b
What is the second smallest value in -4, 1/4, -1/6, 11, -78/31, -187?
-4
Which is the second biggest value? (a) 0.2 (b) -1 (c) -3 (d) -3/8 (e) 342/7 (f) 301
e
What is the second biggest value in -3/5, 1144, 302?
302
Which is the smallest value? (a) 0.4 (b) -22/3 (c) 554 (d) 28 (e) 0.1
b
Which is the third biggest value? (a) 5/4 (b) 1479/2591 (c) 4
b
Which is the fifth biggest value? (a) 2/13 (b) 12 (c) -0.9843 (d) -92 (e) -5/3
d
Which is the fifth smallest value? (a) -146 (b) 3 (c) -0.3 (d) -43 (e) 1/5 (f) 34
b
Which is the third biggest value? (a) -3 (b) 0.2 (c) -0.689 (d) 632
c
What is the third smallest value in -183626, 6/11, 0.01?
6/11
Which is the third biggest value? (a) 1 (b) -11 (c) 14944
b
What is the second biggest value in -3, -36, -27, -0.02, 4, 3, 0.3?
3
What is the third smallest value in 1, 62/13, 88, 6/7, 11?
62/13
What is the sixth smallest value in 4, -2/15625, 0.4, -29, -0.5, -6?
4
Which is the smallest value? (a) -4 (b) 3.448 (c) 0.4 (d) 3.1 (e) 0.09
a
Which is the fifth biggest value? (a) -3/4 (b) -5 (c) 0.01 (d) -258 (e) -28/73 (f) -4
b
Which is the fourth smallest value? (a) 42 (b) -115 (c) -0.3 (d) 2/11 (e) -0.47
d
Which is the second biggest value? (a) -3 (b) 0.4 (c) -49721118
a
Which is the fourth smallest value? (a) -5 (b) -37 (c) -204 (d) -0.01
d
What is the third smallest value in 1/5, 6.5, 2, 3.51?
3.51
Which is the third smallest value? (a) 0.3 (b) -9376 (c) -6/13 (d) -12
c
Which is the second biggest value? (a) -0.27 (b) 0.1 (c) 0.5 (d) -4/7 (e) 1/3 (f) -54/7
e
Which is the second biggest value? (a) 1445.9 (b) 4 (c) -2 (d) 3 (e) -12.4
b
What is the fifth biggest value in 2, -0.5, 3, 283, -9.1971?
-9.1971
What is the fifth smallest value in 0.4, 3/7, 0.6914, -1/5, 3/4?
3/4
Which is the second biggest value? (a) -15 (b) -0.4 (c) 0.08966 (d) -0.2
d
What is the fifth smallest value in -0.4, 2, 3/17, 16/3, 10, 0, 0.11?
2
Which is the smallest value? (a) -352 (b) -1099061 (c) -1/2
b
What is the fourth biggest value in 13, -2, 4, 101/89?
-2
Which is the fifth smallest value? (a) -0.4 (b) 56 (c) -5 (d) -0.6 (e) 2.2727
b
Which is the smallest value? (a) -2 (b) -5 (c) 3 (d) 18042
b
Which is the smallest value? (a) -403/3 (b) -22 (c) -0.5 (d) 2/3 (e) -486
e
Which is the fourth smallest value? (a) 2/27 (b) 1.6 (c) -10 (d) 178.4
d
Which is the fourth biggest value? (a) 7 (b) -14 (c) -12/7 (d) 14 (e) -121
b
What is the sixth biggest value in 5, 0.41, 3, -2, -15, -0.02?
-15
Which is the seventh smallest value? (a) 12 (b) -7/10 (c) 0.3 (d) -3 (e) 4 (f) 0.04 (g) 2
a
What is the second smallest value in -0.1, -11, -3/2, 363, 7/22?
-3/2
Which is the fourth smallest value? (a) 5 (b) 3 (c) -45.6 (d) -1894
a
Which is the smallest value? (a) 1749 (b) -2/7 (c) 78 (d) 0
b
Which is the fourth smallest value? (a) -34 (b) 5/2 (c) 223933 (d) 5
c
Which is the fourth biggest value? (a) 5 (b) -1/2 (c) 29 (d) 46 (e) -1 (f) -0.41
f
Which is the sixth biggest value? (a) -2/5 (b) 0.5 (c) 0.1 (d) 79574 (e) -1/3 (f) 0
a
Which is the smallest value? (a) -104/6129 (b) -3 (c) -3/4 (d) -0.3
b
Which is the biggest value? (a) 46/5 (b) 6080/7 (c) -22 (d) 1 (e) -5
b
What is the second smallest value in 10/457, 574/11, 0.1?
0.1
What is the biggest value in 5, 61883, -26?
61883
Which is the biggest value? (a) 0.2 (b) -937 (c) 4 (d) 8 (e) -1 (f) 1/10 (g) -0.5
d
What is the third smallest value in -10977, -2, 1.43?
1.43
Which is the third biggest value? (a) -2/9 (b) 0.3 (c) -17.63 (d) -0.2
a
Which is the third biggest value? (a) -3775 (b) -1/7 (c) -12 (d) -2 (e) -25 (f) -1 (g) -5
d
What is the biggest value in 8/17, 5, -5.17, 37?
37
Which is the smallest value? (a) 0.5 (b) -0.024 (c) 429605
b
Which is the biggest value? (a) 0.4 (b) 5 (c) 1/9 (d) 10 (e) -2931 (f) -0.08
d
Which is the fifth smallest value? (a) 1/6 (b) -441 (c) -54 (d) -0.03 (e) -1
a
Which is the second biggest value? (a) -2/7 (b) 0.3 (c) -328295 (d) -8
a
Which is the biggest value? (a) 66627.76 (b) -14 (c) -2
a
Which is the seventh smallest value? (a) 1/41 (b) -4.309 (c) -1 (d) -0.09 (e) 0.1 (f) 0.2 (g) -3
f
Which is the fourth biggest value? (a) -0.18 (b) 0.061 (c) -2/141 (d) 2/5 (e) 3
c
Which is the second biggest value? (a) 4 (b) -4/9 (c) 0.4 (d) -5 (e) -23709
c
Which is the fourth smallest value? (a) 4550 (b) 34 (c) 3/8 (d) -87
a
Which is the third smallest value? (a) -5628 (b) -9 (c) -4/5
c
Whi
|
{
"pile_set_name": "DM Mathematics"
}
|
n**5/5 - 31*n**4/24 - 2*n**2 - 1109. What is the third derivative of m(f) wrt f?
-5562
Let o(t) be the first derivative of 4796*t**3/3 - 5*t**2/2 - 4*t + 4412. What is the second derivative of o(w) wrt w?
9592
Find the second derivative of -779*s**2 + 8503*s + 936*s**2 - 1438*s**2 - 3146*s**2 wrt s.
-8854
What is the derivative of 373*r**2 - 1812*r**3 + 906*r**3 - 970 - 1698 + 908*r**3 - 953 wrt r?
6*r**2 + 746*r
Let r(y) = 28*y**3 - 3*y**2 + 4*y + 1. Let t(v) = v**3 - 2*v**2 + v. Let s = -28 + 27. Let h(b) = s*t(b) + r(b). Find the second derivative of h(z) wrt z.
162*z - 2
What is the third derivative of -4212*a**2 + 774*a**2 + 31588*a**6 - 53531*a**6 + 33679*a**6 wrt a?
1408320*a**3
Let h(j) be the first derivative of 91*j**4 - 2*j**3/3 - 184*j + 3214. Find the first derivative of h(d) wrt d.
1092*d**2 - 4*d
Suppose -79*v = -75*v - 16. Suppose -5*b - 21 = -2*t, t + 2*b - v*b - 9 = 0. What is the second derivative of -20*y**3 + 13*y + 2*y**3 - 8*y**t - 51*y wrt y?
-156*y
Suppose -2*n - 2*n + 13 = -w, -w + 5*n - 15 = 0. Let t be ((-8)/(-5))/((-2)/w). Differentiate -j**3 - t*j**3 + 2 + 3*j**3 + 0 with respect to j.
-6*j**2
Let r(g) be the second derivative of -1316*g**4/3 - 4391*g**2/2 - 527*g. What is the first derivative of r(d) wrt d?
-10528*d
Let r(d) = -9*d - 88. Let s be r(-10). What is the third derivative of -2359*a**2 + a**3 - a**3 + 2270*a**s + 77*a**4 wrt a?
1848*a
Let u(x) be the first derivative of 31 + 14*x + 0*x**3 + 5*x**4 + 3/2*x**2. What is the second derivative of u(v) wrt v?
120*v
Find the first derivative of -3*u + 23*u + 2*u**3 - 73*u - 1448 wrt u.
6*u**2 - 53
Let p(f) = -1125*f**2 + 2400*f + 6. Let j(b) = -18000*b**2 + 38409*b + 99. Let i(v) = 2*j(v) - 33*p(v). Find the second derivative of i(u) wrt u.
2250
Let v(o) be the first derivative of 59 + 10/3*o**3 + 173*o - 2*o**2. Differentiate v(r) wrt r.
20*r - 4
What is the third derivative of 3*l**2 - 156*l - l**4 + 1973 - 1973 + 186*l**3 wrt l?
-24*l + 1116
Differentiate -1332*a**4 - 646*a + 297 - 668*a + 1314*a with respect to a.
-5328*a**3
Let b(o) be the first derivative of -92*o**4 - o**2/2 - 496*o - 1134. What is the derivative of b(r) wrt r?
-1104*r**2 - 1
Suppose -5*c = 4*v + 36 - 140, -54 = -2*v - 3*c. What is the third derivative of -1 + 3*a**4 - 1690*a**2 - v*a**3 + 1603*a**2 - 13*a**3 wrt a?
72*a - 204
Let l(k) be the first derivative of -4896*k**5/5 + 4043*k + 543. What is the derivative of l(j) wrt j?
-19584*j**3
Differentiate -1785*g**4 - 506*g**4 - 634 - 105 - 3236 wrt g.
-9164*g**3
What is the second derivative of 1834*y**4 - 212 - 53 + 343*y**4 + 2049*y**4 - 48 - 3*y wrt y?
50712*y**2
Let v(h) = -1812*h**3 + 3*h**2 + 66*h + 4. Let k(q) = -1811*q**3 + 64*q + 5. Let g(f) = -2*k(f) + 3*v(f). What is the third derivative of g(w) wrt w?
-10884
Let r(t) be the third derivative of 11/15*t**5 + 0*t**4 + 0 + 0*t**6 + 0*t**3 - 11/84*t**8 + 0*t**7 - 61*t**2 + 0*t. Find the third derivative of r(q) wrt q.
-2640*q**2
Let l be (7 + 1)*2/8. Let j be ((10/5)/2)/(1/l). Find the second derivative of 4*y - y**3 + 3*y**j - 3*y**2 - 2*y wrt y.
-6*y
Let m(n) = 2*n**3 - 2*n**2 - 6*n + 13. Let f be m(2). Differentiate f*o**3 - 44 + 11 + 11 + 2*o + 11 with respect to o.
27*o**2 + 2
Let p(s) be the second derivative of 1343*s**4/12 - 141*s**3 - 496*s - 2. What is the second derivative of p(i) wrt i?
2686
Let o(r) be the second derivative of 13669*r**5/20 + 3293*r**4/4 - 1094*r - 1. What is the third derivative of o(h) wrt h?
82014
Let b(w) = 3698*w**2 - 602. Let u(o) = -3703*o**2 + 600. Let m(i) = -4*b(i) - 5*u(i). Differentiate m(a) with respect to a.
7446*a
Suppose 8*h - 3*h - 10 = 0. Find the first derivative of h*z + 94*z - 49 + 142 wrt z.
96
Differentiate -7*q**4 + 5*q**2 - 521 - 1665*q + 2476 - 13*q**3 + 1665*q + 3*q**3 with respect to q.
-28*q**3 - 30*q**2 + 10*q
Let s(t) = -4*t**4 - 161*t**3 + t**2 - 87*t - 6. Let j(r) = -r**4 + 14*r**3 + r**2 - 1. Let y(z) = 6*j(z) - s(z). What is the third derivative of y(p) wrt p?
-48*p + 1470
Let l(y) be the second derivative of 1765*y**4/6 + y**3/3 + 2493*y**2 - y + 5829. What is the second derivative of l(j) wrt j?
7060
Let m(p) = -34609*p**2 + 22156*p - 7. Let h(j) = -46145*j**2 + 29538*j - 9. Let f(o) = -7*h(o) + 9*m(o). Find the second derivative of f(w) wrt w.
23068
Let u(f) = -f**2 + 21*f - 1. Let y be u(3). Let v = y + -51. What is the third derivative of -68*c**v - 67*c**2 + 144*c**2 - 38*c**3 wrt c?
-228
Let b(x) be the second derivative of -713*x**4/2 + x**3/2 - 653*x**2/2 - 300*x. Find the second derivative of b(p) wrt p.
-8556
Suppose 25 = 5*l, y + 4*l = 11 + 13. Find the third derivative of -4*x**y - 192*x**2 - 63*x**3 - 5*x**4 + 5*x**4 + 3*x**4 wrt x.
-24*x - 378
Suppose -6*z - 3 = -33. Suppose 0 = 3*u - 3*p, -z*u + 4*u - 15 = -4*p. What is the third derivative of 0*x**5 + 114 - x**u - 114 + 45*x**2 wrt x?
-60*x**2
Suppose -2*n + 4*n = -8, 2*n = 5*l - 378. What is the derivative of l + 155 - 4*v - 12*v - 25*v - 63 wrt v?
-41
Find the second derivative of 845*u + 373*u - 372*u**2 - 617*u**2 wrt u.
-1978
Let a(y) = 167*y**3 + 5*y**2 + 10*y - 3399. Let k(h) = -83*h**3 - 3*h**2 - 6*h + 1697. Let v(x) = 3*a(x) + 5*k(x). Differentiate v(o) with respect to o.
258*o**2
What is the second derivative of 1407*x**4 + 170 + 4*x + 29 + 1406*x**4 - 410*x**5 - 2813*x**4 wrt x?
-8200*x**3
Let z(f) be the third derivative of 10*f**7/21 - f**6/8 + 5*f**4/24 + 151*f**3/6 + 3215*f**2. What is the second derivative of z(j) wrt j?
1200*j**2 - 90*j
Suppose 92 = 4*v - 4*r, 2*r - 26 = -v - 0*r. What is the second derivative of 15*p - 6 - v*p**4 + 5 - 17*p wrt p?
-288*p**2
Suppose 5*p + 4*c - c = 263, 5*p - 258 = 2*c. Find the second derivative of p*x**4 - 4*x + 12*x**2 + 6*x**4 + 14*x - 11*x**2 wrt x.
696*x**2 + 2
Suppose 5*a + 43 + 1 = 3*y, 0 = -5*a + 4*y - 42. Let z = 27 - a. Find the first derivative of 49 - 13*f**3 - z - 3*f**3 wrt f.
-48*f**2
Let g(t) be the first derivative of 937*t**4/2 + 477*t**3 - 37. What is the third derivative of g(z) wrt z?
11244
Let u(y) = -4*y**3 + 273*y**2 - 2*y + 1126. Let x(c) = 18*c**3 - 1365*c**2 + 11*c - 5599. Let n(o) = -11*u(o) - 2*x(o). Differentiate n(a) with respect to a.
24*a**2 - 546*a
Let k(x) be the second derivative of 491*x**4/6 - 761*x**3/3 + 1630*x. Find the second derivative of k(f) wrt f.
1964
Suppose -72*y + 171 = 171. Let z(p) be the second derivative of 11/20*p**5 + 0*p**3 + 1/2*p**4 + 7*p + y + 0*p**2. Find the third derivative of z(a) wrt a.
66
Let n(x) be the second derivative of 77*x**4/2 - 110*x**3 + 3*x - 278. What is the second derivative of n(s) wrt s?
924
Suppose -12 = -38*h + 35*h. What is the second derivative of -24*t - 1 + 1 + 17*t**h - 30*t**4 wrt t?
-156*t**2
Let i(j) be the second derivative of 2287*j**5/20 - 171*j**3/2 - 12*j - 48. What is the second derivative of i(l) wrt l?
13722*l
Let q(j) = 3*j**2 + 2*j. Suppose p + 18 = 4*l, 3*l + 2*p = 7*l - 16. Let y be q(l). Find the third derivative of -85*s**4 + y*s**4 - 15*s**6 + 5*s**2 wrt s.
-1800*s**3
Let g(c) be the first derivative of -9*c**5/5 + 2*c**3/3 - 25*c**2 - 5882*c - 4478. What is the first derivative of g(o) wrt o?
-36*o**3 + 4*o - 50
Let z(n) be the first derivative of 27 + 19/2*n**2 + 4*n. Let m(y) = -y + 1. Let b(l) = 2*m(l) - z(l). What is the derivative of b(t) wrt t?
-21
Let a(j) = 67*j + 102. Let f(s) = -s - 4. Let u = -420 + 421. Let k(y) = u*a(y) + 5*f(y). What is the derivative of k(z) wrt z?
62
Suppose -43*v + 204 = 32. What is the second derivative of 6 - 65*b - 16*b - 2*b**4 - 3*b**v - 6 wrt b?
-60*b**2
Let k(w) be the third derivative of -503*w**5/60 - 241*w**4/24 - 809*w**2. What is the second derivative of k(y) wrt y?
-1006
Let d(o) = -10886*o + 1830. Let x(n) = 10885*n - 1669. Let a(p) = 3*d(p) + 4*x(p). What is the first derivative of a(k) wrt k?
10882
Suppose 0 = -v + c - 0*c + 28, -c = 4. Let l = -19 + v. What is the second derivative of -21*n**5 - 10*n + 5*n + l*n**5 - 27*n wrt n?
-320*n**3
Let h(v) = -v**3 - 20*v**2 - 19*v + 1. Let o be h(-19). Let d be 6/(-9)*(-2448)/o. Find the third derivative of 8*z**2 + 1632 - d + 6*z**3 wrt z.
36
Let s(b) be the third derivative of 1263*b**5/20 + 49*b**4/24 - 7*b**3/3 + 2*b**2 + 2*b + 492. Find the second derivative of s(p) wrt p.
7578
Let a(n) = -n
|
{
"pile_set_name": "DM Mathematics"
}
|
t*u**3 and give i.
-8
Rearrange -9815*v + 34216*v + 3573*v to the form f*v + o and give f.
27974
Rearrange -7*f + 5*f - 4035 + 6759 + 4797 to the form p + z*f and give z.
-2
Rearrange (-312663 + 1022*a + 312663)*(3*a**2 - 10*a + 10*a) to w*a**3 + g + x*a + s*a**2 and give w.
3066
Rearrange -1604*c**2 + 11094 - 11094 to the form m*c + z*c**2 + u and give z.
-1604
Express k**3 + 123382*k**2 + 80*k - 3 - 123380*k**2 + 5 in the form f*k + o*k**2 + t*k**3 + a and give t.
1
Rearrange u**2 + 2275 + 684 + 3271 - 969 to i + y*u + p*u**2 and give i.
5261
Express 2*y**3 + 37509*y**4 + 56*y**2 - 13 - 75023*y**4 + 37517*y**4 as t + v*y + n*y**4 + m*y**2 + w*y**3 and give t.
-13
Express -142 - g - 82 - 241 - 5*g as a*g + y and give y.
-465
Rearrange -693*y**3 - 177 - 3*y - 2*y**2 + 70 + 52 + 58 to g*y**3 + h + d*y + v*y**2 and give g.
-693
Express -5*b**3 + 2 + 3*b**4 + 4994*b - 2*b**4 - 4996*b + 31*b**2 in the form t*b**3 + g*b + q + z*b**2 + k*b**4 and give z.
31
Rearrange (-4387 + 20*r + 4387)*(0*r - 4*r + 2*r) - 8 + r + 8 + 3*r**2 to the form f + s*r**2 + x*r and give x.
1
Rearrange 5*x**2 + 4*x**4 - 131575*x + 4*x**2 + 1 + 2*x**3 + 131579*x to the form a + c*x**3 + p*x**4 + m*x + z*x**2 and give z.
9
Rearrange 3262*p - 1643*p + 6*p**2 + 2*p**2 + 14 + 1 - 1669*p to the form z*p**2 + k + j*p and give z.
8
Rearrange -1042*z**2 + 536*z**2 - 637 + 494*z**2 to the form w + i*z**2 + p*z and give w.
-637
Rearrange (-5 + 2 + 2)*(-1 + 3 - 4)*(-51 + 11*f + 8*f - 20*f + (-55 - 11*f + 55)*(-3 + 3 + 1) + f + 2*f - f) to q + y*f and give y.
-20
Express 4 + 1260*z - 1047*z - 1811*z as d*z + k and give d.
-1598
Express (c - 4 + 4)*(917*c - 478*c - 214 - 437*c) in the form i*c**2 + o*c + n and give o.
-214
Rearrange -729*f**2 + 36*f**2 - 354*f**2 + 11*f - 171*f**2 + f**3 to the form s + h*f + t*f**2 + w*f**3 and give h.
11
Express -71 - 3*i**2 - 20*i**4 - 20*i**4 + 42*i**4 - 9*i**3 + 2*i + 12*i**3 - 5*i**3 in the form f*i**2 + s*i**4 + a*i + y*i**3 + x and give f.
-3
Rearrange 1853*a + 4217*a - 738*a - 743*a + a - a - 2*a + 3*a - 5*a + a + (0 + 2*a + 0)*(-3 + 0 + 1) + 3*a - 2*a + 2*a to the form s*a + f and give s.
4585
Rearrange 21*i**3 - 90*i**3 + 3 - 1 + 226*i**2 + 34*i**3 + 34*i**3 to c + h*i**2 + u*i**3 + d*i and give h.
226
Rearrange -2443*f**4 + 4874*f**4 - 2434*f**4 + 3 + 2*f**2 + 6*f - 6*f**3 to the form t*f**4 + o + s*f + u*f**2 + a*f**3 and give t.
-3
Rearrange (4*a - 1 + 1)*(85 + 7*a - 85)*(-9*a - a + 8*a) - 3*a**3 + 0 + 0 to the form m + i*a**2 + p*a**3 + u*a and give u.
0
Express 254*y - 5160*y - 1480*y in the form w + g*y and give w.
0
Express (26 - 41 + 11*i + 13)*(-19*i**3 + 295*i**2 - 295*i**2) as j*i**4 + b*i + s*i**3 + z + m*i**2 and give j.
-209
Express (2*t + 0*t + 0*t)*(-2 + 2 - 3) - 125*t - 2279*t - 1991*t as g + i*t and give g.
0
Rearrange (-102*o**2 - 195*o**2 + 65*o**2)*(-2*o + 8*o - o) to y + f*o**2 + v*o**3 + m*o and give v.
-1160
Rearrange 2*d**2 + 0*d**2 - 4*d**2 + (-d**2 - d + d)*(3 + 4 - 5)*(-49 + 632 + 1258)*(0 + 2 + 0) to b*d**2 + f*d + c and give b.
-7366
Express -u**3 + u**4 - 2 - 2 + 1367*u**2 + 3*u + 1376*u**2 - 2757*u**2 + 3*u**3 in the form x*u + h*u**4 + p*u**2 + d + b*u**3 and give h.
1
Express -21015*w - 22903*w + 15262*w - 7991*w in the form p*w + g and give p.
-36647
Express (3*c**3 - 8*c - 3*c - 9*c**3)*(0 - 8 - 19) as f*c**2 + z*c**3 + v*c + n and give z.
162
Express 964*x + 623*x + 790*x + 715*x + 163*x as m*x + w and give m.
3255
Express 58416 + 422*v**2 - 58416 in the form k*v**2 + l + g*v and give l.
0
Rearrange (12 + 5 - 7)*(-40 + 21*t**3 - 20*t**3 - 669) to the form r*t**2 + o*t + q*t**3 + w and give q.
10
Express (2*g - 2*g + g)*(0*g - g - 2*g) - 5 - 2*g**2 + 5 + (-154*g**2 + 41*g**2 - 35*g**2)*(-20 - 10 + 17) as l*g**2 + p + v*g and give l.
1919
Express ((1 + 2 - 1)*(-31*r + 6*r + 11*r) + 2820 + 33*r - 2820)*(-2*r**2 - 4*r**2 + r**2) in the form s + c*r**2 + m*r + f*r**3 and give c.
0
Rearrange (-4*u - 3*u + 1 - 3*u)*(-47 + 19 + 23)*(-52*u**2 - 901 + 901) to l*u**2 + g*u + o + f*u**3 and give o.
0
Rearrange (6*z**2 - 3*z**2 + 2*z**2)*(-3*z + 0*z + 4*z) + (-2*z**2 + 0*z + 0*z)*(z + 4*z - 3*z)*(15 + 512 - 50) to d + r*z**3 + a*z + p*z**2 and give r.
-1903
Rearrange (1 - 1 + q + (1 - 3 + 4)*(3*q - 3*q + 2*q))*(-3*q**2 + 0*q**2 - 7*q**2)*(1226 - 468 - 560) to t + x*q**2 + m*q + a*q**3 and give a.
-9900
Rearrange -1 + 13*n**2 - 14*n**3 + n**4 - 46*n**2 - 9*n + 12*n**2 + 20*n**2 to the form f*n**3 + c*n + r*n**2 + z*n**4 + b and give c.
-9
Express -l**3 - 2*l**3 - 2209573*l**2 + 2210437*l**2 + l as d*l**2 + b*l**3 + z*l + i and give b.
-3
Rearrange 1163*w + w**3 - 2322*w + 8*w**2 + 1163*w to t*w + q*w**2 + g*w**3 + m and give g.
1
Rearrange (-y + y + y)*(0*y + 0*y + y + (-3 - 2 + 4)*(155 + 183 - 377)*(1 + 28*y - 1)) to n*y**2 + v + j*y and give n.
1093
Express -24*w**4 - 192*w - 12*w**4 + w**3 + 375*w - 195*w in the form u*w**2 + s + l*w + m*w**3 + y*w**4 and give y.
-36
Express -873*u - 241 + 241 as o + g*u and give g.
-873
Express 1600*n + 1538*n + 1328*n as r*n + q and give r.
4466
Express 188591*u**3 - 188591*u**3 + 6 + 17*u**2 + 5*u**4 - 3*u as y*u + o*u**2 + l + h*u**3 + p*u**4 and give y.
-3
Rearrange ((2 + 0 + 3)*(0*b - 3*b + 2*b) + 5*b - 2*b + 0*b)*(423*b - 317*b - 7 + 7) to the form i*b**2 + n*b + a and give a.
0
Rearrange (0 - 2 - 1)*(2*f**2 - 5*f + 5*f)*(-23*f**2 - 243*f**2 + 861*f**2) to w + j*f**4 + p*f + v*f**3 + o*f**2 and give j.
-3570
Rearrange (0 - 2 + 6)*(1 - 2 + 2)*(34 - 34 + 2*h) + h + 3*h - 3*h + (39 - 23 - 15)*(h - h + h) to r*h + f and give r.
10
Express (-7 - 13 + 7)*(8*m + 2*m + 3*m)*(4 - 4 - 2) as l + i*m and give i.
338
Rearrange -5*j**2 - 101*j - 18322 + 66*j + 18317 - 154*j + 3*j**2 to the form l + k*j**2 + h*j and give h.
-189
Rearrange (135*o - 59*o + 56*o)*(30 + 22 - 41) to q + w*o and give q.
0
Rearrange 6*t - 5*t + 6*t + (3 - 4 - 2)*(-106*t - 5960 + 5960) to q + l*t and give l.
325
Express (-3725 - 5917 + 7258 - 15045 - 12610)*(6*z - 6*z - 2*z**4) in the form x*z + o*z**2 + f*z**4 + k + i*z**3 and give f.
60078
Rearrange 238 + 92*s**2 - 690 + 239 + 211 - 8*s to the form z*s + m + r*s**2 and give z.
-8
Express -614*f + 191*f - 22 + 232*f + 188*f + 12*f**3 as r*f**2 + s*f**3 + t + y*f and give y.
-3
Rearrange 2*t**2 - 50 - 323*t**3 - 53 + 104 - 608*t**3 to the form f*t**2 + k*t**3 + l + s*t and give f.
2
Rearrange -151 - 100 + 3*v**4 - 3*v**2 + 251 + 2*v + 371*v**3 to the form t + f*v**3 + c*v + o*v**4 + l*v**2 and give l.
-3
Rearrange -589*u + 267*u + 1895*u**2 + 322*u to x*u**2 + s + a*u and give x.
1895
Rearrange (-473*m**4 + 279*m**4 - 770*m**4)*(2 - 1 + 11) to the form l*m**3 + n + v*m**2 + h*m**4 + t*m and give v.
0
Express -196725*c**3 + 37*c**2 + 2 - 19*c**4 - c + 196726*c**3 - 5*c**4 in the form d*c**3 + o*c**4 + y + f*c**2 + s*c and give d.
1
Rearrange 32*b**2 - 77*b**2 + 23*b**2 + 18*b**2 - 189 to the form i*b + p*b**2 + g and give g.
-189
Express -2*p - 89*p**4 + 1 + 150*p**2 - 150*p**2 - 2 as h*p**2 + l*p**3 + s*p + o + z*p**4 and give s.
-2
Express (139 - 84 + 78)*(-26*i - 33*i - 59*i) as z*i + h and give z.
-15694
Express -474*m - 784 + 1103 - 312 as x*m + a and give x.
-474
Express i**2 - i**2 - 2*i**4 + (2*i**3 + 0*i**3 - 6*i**3)*(96*i + 54*i + 824*i) as l*i + m*i**4 + f*i**2 + y + s*i**3 and give m.
-3898
Express -83 + f + 9*f**3 - 3*f**3 - 100 + 92 as g*f + r*f**2 + a*f**3 + d and give a.
6
Rearrange (1 + 2 - 7)*((3*c + 0*c - c)*(-197*c + 107*c - 877*c) + (1 - 1 + 2*c)*(-2*c - c + 2*c) - 3*c**2 - 5*c + 5*c) to the form y*c + m + w*c**2 and give w.
7756
Rearrange -170001 + 170001 - 1738*i to the form z*i + g and give z.
-1738
Rearrange (-2 + 7 - 3)*(2116*q - 4950*q + 868*q) to a + z*q and give z.
-3932
Express (-2 + 3 - 2)*(4 + 3 - 4)*(-3 + 1 + 1)*(-1079 - 556*m + 1079) as w*m + t and give w.
-1668
Express -7*w**2 + 2 + 5145*w**3 + 5*w**2 - 5150*w**3 + 0*w**2 as n*w**3 + c + k*w + f*w**2 and give n.
-5
Express (-u - 5 + 2*u + 45)*(-4 + 6 + 1)*(18*u - 110*u - 26*u) as r + k*u + i*u**2 and give i.
-354
Rearrange (63*x**2 + 112*x**2 - 34*x**2)*((-1 + 4 + 0)*(3 + 2 - 6) - 4 + 2 + 3) - 2*x - x**2 + 2*x to the form y*x + u + p*x**2 and give p.
-283
Express (2 + 2 - 3)*(4*d - 2*d - 3*d)*(-1278 + 1150*d**3 + 1278) as f*d**3 + y*d**2 + a + s*d**4 + x*d and give s.
-1150
Re
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{
"pile_set_name": "DM Mathematics"
}
|
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