text stringlengths 270 8.19k | meta dict |
|---|---|
ment from yrwrryyyrrllgry.
1/91
Four letters picked without replacement from delllddelee. What is prob of sequence lldl?
1/110
Three letters picked without replacement from {g: 1, n: 2, w: 2, z: 1}. Give prob of sequence nzn.
1/60
Calculate prob of sequence gg when two letters picked without replacement from {c: 7, g: 1, s: 3, k: 2, r: 1}.
0
Calculate prob of sequence wp when two letters picked without replacement from {j: 6, w: 2, p: 2, o: 9}.
2/171
Calculate prob of sequence pgpp when four letters picked without replacement from pppgpgppgpggppgpggg.
45/646
What is prob of sequence lms when three letters picked without replacement from jssjssjssjjjmjls?
1/480
Four letters picked without replacement from {g: 1, l: 1, r: 2, m: 1}. What is prob of sequence mgrr?
1/60
Two letters picked without replacement from {e: 4, m: 6, d: 3, u: 4}. What is prob of sequence um?
3/34
Three letters picked without replacement from {s: 1, y: 4, i: 2, x: 3}. Give prob of sequence yii.
1/90
What is prob of sequence fyn when three letters picked without replacement from {y: 4, f: 3, n: 1}?
1/28
Two letters picked without replacement from ttyyy. What is prob of sequence yt?
3/10
Two letters picked without replacement from uyyyyqqyyyuyy. Give prob of sequence yy.
6/13
Calculate prob of sequence gg when two letters picked without replacement from {q: 1, s: 1, d: 3, z: 3, g: 6}.
15/91
What is prob of sequence pll when three letters picked without replacement from llllpplpllppp?
21/143
Four letters picked without replacement from fdxffxdfddddprfffr. What is prob of sequence rrxp?
1/18360
Calculate prob of sequence gowh when four letters picked without replacement from {w: 1, u: 3, o: 2, g: 8, j: 1, h: 1}.
1/2730
Three letters picked without replacement from blvvltbmtvbtvbtbptbv. What is prob of sequence lmm?
0
Two letters picked without replacement from mwme. Give prob of sequence mw.
1/6
Two letters picked without replacement from {p: 1, q: 4, x: 3, g: 2, h: 4, s: 1}. Give prob of sequence gg.
1/105
What is prob of sequence awa when three letters picked without replacement from vwnaawvan?
1/42
What is prob of sequence ifi when three letters picked without replacement from {i: 2, f: 4}?
1/15
Calculate prob of sequence ew when two letters picked without replacement from emmfmjmewejm.
1/44
Calculate prob of sequence ch when two letters picked without replacement from hfhfffchfhhffhqfi.
3/136
What is prob of sequence hwqr when four letters picked without replacement from {g: 1, h: 1, q: 1, z: 5, w: 3, r: 2}?
1/2860
Three letters picked without replacement from eveemeeikm. What is prob of sequence vmm?
1/360
Three letters picked without replacement from eeeeeee. What is prob of sequence eee?
1
Three letters picked without replacement from gigi. What is prob of sequence iig?
1/6
Three letters picked without replacement from nwzzc. Give prob of sequence zcn.
1/30
Four letters picked without replacement from rerqrrueererreqdde. Give prob of sequence ueqd.
1/3060
Four letters picked without replacement from bqdmbnln. What is prob of sequence ndql?
1/840
What is prob of sequence wn when two letters picked without replacement from wyynw?
1/10
What is prob of sequence rr when two letters picked without replacement from rddrrdddrd?
2/15
Four letters picked without replacement from nnnnnnnntnnnnnnttt. Give prob of sequence ttnt.
7/1530
Three letters picked without replacement from {q: 1, p: 3, x: 1, o: 2, l: 1, m: 11}. What is prob of sequence mqo?
11/2907
Calculate prob of sequence ay when two letters picked without replacement from {m: 1, y: 2, a: 3, k: 1}.
1/7
Three letters picked without replacement from {b: 1, z: 1, q: 1, v: 1, t: 1}. Give prob of sequence qzv.
1/60
Three letters picked without replacement from {j: 5, p: 1, m: 1, k: 5, a: 3}. Give prob of sequence pjk.
5/546
Three letters picked without replacement from lllprcctlllrkkk. What is prob of sequence cpc?
1/1365
What is prob of sequence ggk when three letters picked without replacement from {c: 1, k: 1, g: 4, l: 1, b: 1}?
1/28
What is prob of sequence iik when three letters picked without replacement from {k: 7, i: 7}?
7/52
Calculate prob of sequence kek when three letters picked without replacement from ekekkkeekekee.
35/286
Four letters picked without replacement from nnnnnnnnnnnnnnnnnxnx. What is prob of sequence nnxx?
1/190
Calculate prob of sequence um when two letters picked without replacement from kmkukukumuummkkmmkm.
35/342
Three letters picked without replacement from yyttyytbbbybttt. Give prob of sequence tyb.
4/91
Four letters picked without replacement from zvavzzzsvsa. Give prob of sequence avsz.
1/165
Calculate prob of sequence ghhh when four letters picked without replacement from vgvghhghgvvhhg.
25/2002
Four letters picked without replacement from {w: 5, f: 1, p: 1, l: 2}. Give prob of sequence lwfw.
5/378
Three letters picked without replacement from qqwwwwwwjwqjjwjq. What is prob of sequence wwq?
1/15
Four letters picked without replacement from rlalrllpppplpaplaa. What is prob of sequence lraa?
1/510
Two letters picked without replacement from {i: 7, a: 1, x: 2, h: 4}. What is prob of sequence hh?
6/91
Two letters picked without replacement from ehohkhhehohhohhohheo. What is prob of sequence oe?
3/76
Four letters picked without replacement from wawwazeazaewawawaaa. What is prob of sequence azaz?
1/646
Calculate prob of sequence se when two letters picked without replacement from {s: 9, e: 3}.
9/44
Two letters picked without replacement from {m: 4, d: 2, j: 1, u: 1, k: 1}. Give prob of sequence um.
1/18
Four letters picked without replacement from {z: 2, m: 2, q: 4, d: 1, r: 3, h: 2}. What is prob of sequence mdmh?
1/6006
Three letters picked without replacement from {f: 12, g: 1}. What is prob of sequence ffg?
1/13
Calculate prob of sequence qfq when three letters picked without replacement from juukkfujququqq.
1/182
Two letters picked without replacement from wwwwwyywwywyzw. Give prob of sequence zw.
9/182
Two letters picked without replacement from tttttttxttttt. What is prob of sequence tt?
11/13
Calculate prob of sequence lk when two letters picked without replacement from {k: 1, u: 3, l: 1}.
1/20
Three letters picked without replacement from {w: 3, g: 7}. Give prob of sequence wgw.
7/120
What is prob of sequence zj when two letters picked without replacement from {j: 12, z: 6}?
4/17
Calculate prob of sequence sj when two letters picked without replacement from {s: 12, j: 3}.
6/35
Two letters picked without replacement from {k: 2, l: 11}. What is prob of sequence ll?
55/78
Four letters picked without replacement from bbdddd. Give prob of sequence bddb.
1/15
What is prob of sequence xd when two letters picked without replacement from ddddddxxdddddddddx?
5/34
What is prob of sequence mpdp when four letters picked without replacement from {p: 5, m: 1, d: 1, e: 4}?
1/396
Calculate prob of sequence tu when two letters picked without replacement from {t: 12, u: 7}.
14/57
Two letters picked without replacement from {k: 2, h: 1, n: 2, u: 4, p: 1, y: 2}. What is prob of sequence ky?
1/33
Two letters picked without replacement from {e: 3, b: 1, t: 1, m: 1, x: 1}. What is prob of sequence xb?
1/42
What is prob of sequence xbxx when four letters picked without replacement from xxxxxxxxxxxxxxxxxxbx?
1/20
Two letters picked without replacement from {i: 2, z: 7}. What is prob of sequence zi?
7/36
What is prob of sequence dmhh when four letters picked without replacement from hmmhmmmhdmhhhmmhh?
2/255
Calculate prob of sequence du when two letters picked without replacement from {u: 7, d: 5}.
35/132
Calculate prob of sequence zszz when four letters picked without replacement from {z: 5, s: 3}.
3/28
What is prob of sequence jt when two letters picked without replacement from {p: 8, t: 2, j: 2}?
1/33
Three letters picked without replacement from {s: 4, p: 4, k: 3, e: 6}. Give prob of sequence ksp.
1/85
Three letters picked without replacement from {z: 2, f: 1, g: 1, u: 1, m: 2, i: 1}. What is prob of sequence uzi?
1/168
Two letters picked without replacement from {l: 4, m: 5, k: 3}. Give prob of sequence km.
5/44
Calculate prob of sequence tqqh when four letters picked without replacement from htdthqhmtxqm.
| {
"pile_set_name": "DM Mathematics"
} |
replacement from mnnmnppnz?
1/126
Calculate prob of sequence ctt when three letters picked without replacement from ttttcctiicci.
2/33
Calculate prob of sequence sc when two letters picked without replacement from {c: 3, m: 2, s: 5}.
1/6
What is prob of sequence mmt when three letters picked without replacement from {u: 2, s: 7, m: 7, t: 2}?
7/408
Calculate prob of sequence qfh when three letters picked without replacement from feqbshh.
1/105
Two letters picked without replacement from kgr. What is prob of sequence gk?
1/6
Four letters picked without replacement from ddzddddzddddd. Give prob of sequence dzdz.
1/78
Three letters picked without replacement from aaaaaajaaajajaaaaa. What is prob of sequence aaj?
35/272
Two letters picked without replacement from {r: 7, g: 2, h: 5}. What is prob of sequence hr?
5/26
Four letters picked without replacement from ikjpeypyyiyyi. Give prob of sequence kepp.
1/8580
Calculate prob of sequence zo when two letters picked without replacement from {s: 4, z: 2, f: 1, o: 1, l: 9}.
1/136
Three letters picked without replacement from {v: 2, c: 2, l: 4, m: 1}. Give prob of sequence vlm.
1/63
Two letters picked without replacement from aaqk. Give prob of sequence kq.
1/12
Two letters picked without replacement from xfzf. Give prob of sequence zf.
1/6
Two letters picked without replacement from {w: 3, n: 2, j: 6, g: 8}. Give prob of sequence jw.
1/19
Calculate prob of sequence lfl when three letters picked without replacement from fffffflflf.
1/45
Calculate prob of sequence fl when two letters picked without replacement from {l: 2, f: 8}.
8/45
Calculate prob of sequence zl when two letters picked without replacement from {l: 1, d: 1, t: 1, p: 2, z: 1, s: 1}.
1/42
Three letters picked without replacement from hhhhqhhhhhzj. Give prob of sequence zhq.
3/440
What is prob of sequence mvvg when four letters picked without replacement from vevvgmgvevgvvgvvvgv?
275/46512
Four letters picked without replacement from {z: 5, a: 5}. What is prob of sequence zaaz?
5/63
What is prob of sequence fl when two letters picked without replacement from fwlww?
1/20
Two letters picked without replacement from {a: 7, q: 2}. Give prob of sequence aq.
7/36
Calculate prob of sequence qrrq when four letters picked without replacement from {r: 2, k: 4, a: 5, q: 3, u: 5}.
1/7752
Four letters picked without replacement from {v: 1, j: 1, z: 1, m: 4, h: 2}. Give prob of sequence vhhz.
1/1512
Calculate prob of sequence nthh when four letters picked without replacement from tchnnzzthdtc.
1/990
Calculate prob of sequence tt when two letters picked without replacement from {x: 2, d: 1, m: 1, o: 2, t: 4}.
2/15
Three letters picked without replacement from {s: 4, k: 2, c: 2, q: 4}. Give prob of sequence cqc.
1/165
Four letters picked without replacement from {d: 1, g: 2, i: 1, l: 13}. Give prob of sequence llgl.
143/2380
What is prob of sequence ssgg when four letters picked without replacement from ggss?
1/6
Two letters picked without replacement from {d: 2, l: 5, h: 6}. Give prob of sequence dh.
1/13
Calculate prob of sequence nnkr when four letters picked without replacement from {h: 3, k: 4, n: 2, r: 1}.
1/630
Calculate prob of sequence eqv when three letters picked without replacement from iqevkqiqqkih.
1/330
Three letters picked without replacement from {v: 2, r: 6, k: 10}. What is prob of sequence krk?
15/136
Three letters picked without replacement from bqbbbbqqbq. What is prob of sequence bqq?
1/10
Calculate prob of sequence txx when three letters picked without replacement from {t: 3, x: 17}.
34/285
Four letters picked without replacement from {r: 14, y: 5}. What is prob of sequence yyyr?
35/3876
Three letters picked without replacement from efaeaeaeeaeae. What is prob of sequence aef?
35/1716
Two letters picked without replacement from {a: 1, q: 3}. Give prob of sequence qq.
1/2
Two letters picked without replacement from mxmmmmmm. Give prob of sequence mm.
3/4
Three letters picked without replacement from {f: 3, s: 1}. Give prob of sequence fff.
1/4
Calculate prob of sequence llwl when four letters picked without replacement from llwllwllllllwwldllwl.
91/969
What is prob of sequence flqu when four letters picked without replacement from lfuflfqlfl?
1/315
What is prob of sequence tthv when four letters picked without replacement from vttttvh?
1/35
Two letters picked without replacement from {a: 2, i: 2, h: 9}. What is prob of sequence ha?
3/26
Two letters picked without replacement from {k: 6, c: 4, x: 6, z: 1}. What is prob of sequence ck?
3/34
Calculate prob of sequence pspf when four letters picked without replacement from psfppppsssp.
1/66
Two letters picked without replacement from {v: 2, m: 4, c: 8}. Give prob of sequence cc.
4/13
Four letters picked without replacement from ovveeoeoeegoeaooo. What is prob of sequence vego?
1/680
Four letters picked without replacement from {f: 8, u: 3, z: 2, j: 3}. Give prob of sequence zuzf.
1/910
Two letters picked without replacement from {w: 4, n: 2, u: 2}. Give prob of sequence nu.
1/14
Three letters picked without replacement from qlqqlqqlqolol. What is prob of sequence lqq?
25/286
Four letters picked without replacement from {a: 1, g: 5, z: 2, w: 1}. What is prob of sequence gazz?
5/1512
What is prob of sequence hxh when three letters picked without replacement from {h: 2, q: 1, x: 1, k: 1}?
1/30
Four letters picked without replacement from {r: 5, f: 3, d: 4, z: 3, w: 3}. Give prob of sequence zfrd.
1/408
What is prob of sequence cltq when four letters picked without replacement from {q: 1, e: 3, t: 2, l: 1, c: 7}?
1/1716
What is prob of sequence vzn when three letters picked without replacement from {n: 4, z: 2, v: 1}?
4/105
Two letters picked without replacement from nnzjzinzjjzjzzzif. Give prob of sequence iz.
7/136
Two letters picked without replacement from svfjnaja. Give prob of sequence an.
1/28
What is prob of sequence dmwd when four letters picked without replacement from {m: 5, w: 2, d: 4}?
1/66
Two letters picked without replacement from zgzzzgz. Give prob of sequence zg.
5/21
Calculate prob of sequence ooa when three letters picked without replacement from oaaoaa.
1/15
Two letters picked without replacement from {i: 2, o: 4, p: 3}. What is prob of sequence pp?
1/12
Two letters picked without replacement from oqoooq. Give prob of sequence oo.
2/5
Calculate prob of sequence uy when two letters picked without replacement from kkkkgnuknykugukgyg.
1/51
Four letters picked without replacement from {r: 8, y: 2, c: 2, h: 1}. What is prob of sequence hcrr?
14/2145
Calculate prob of sequence ppl when three letters picked without replacement from pplpkkdpp.
5/126
Four letters picked without replacement from {w: 3, z: 1}. What is prob of sequence zwww?
1/4
Three letters picked without replacement from {j: 1, b: 14}. What is prob of sequence bbj?
1/15
What is prob of sequence wvv when three letters picked without replacement from vpwvvpvvppvvvvvvp?
11/408
Calculate prob of sequence wwwg when four letters picked without replacement from wwwwwwgwwwgwwgww.
33/280
What is prob of sequence vj when two letters picked without replacement from {g: 4, d: 4, v: 9, l: 1, j: 2}?
9/190
What is prob of sequence ttt when three letters picked without replacement from {l: 13, t: 3, r: 1}?
1/680
What is prob of sequence xxdd when four letters picked without replacement from {x: 2, h: 7, d: 3}?
1/990
Three letters picked without replacement from cdvqhcs. What is prob of sequence vqh?
1/210
Two letters picked without replacement from ihishjii. Give prob of sequence ij.
1/14
Three letters picked without replacement from kikfkatffifkfpa. Give prob of sequence tkp.
2/1365
Calculate prob of sequence eg when two letters picked without replacement from aqmqqmeaagq.
1/110
What is prob of sequence hh when two letters picked without replacement from hshf?
1/6
Four letters picked without replacement from {c: 3, v: 4, y: 5}. Give prob of sequence ycvv.
1/66
Calculate prob of sequence kork when four letters picked without replacement from {z: 2, m: 2, o: 4, r: 2, k: 3}.
2/715
What is prob of sequence dyll when four letters picked without replacement from lllxdlxxldyydlylddll?
3/323
Three letters picked without replacement f | {
"pile_set_name": "DM Mathematics"
} |
**2
Let f(j) = j**2. Let k(o) = -5*o**2 + 5*o + 5. Let u(g) = -6 - 2*g + 4 + g**2 + 2*g**2. Let x(b) = -2*k(b) - 5*u(b). What is x(f(r))?
-5*r**4
Let j(t) = -2*t**2. Let r be 1/2*4 + 8. Let u = r - 4. Let q(p) = -u*p**2 - 9*p**2 + 13*p**2. Give j(q(g)).
-8*g**4
Let o(i) = -20*i**2 + 250*i - 1. Let t(j) = -22*j**2. Determine o(t(h)).
-9680*h**4 - 5500*h**2 - 1
Let p(x) be the third derivative of -3*x**5/20 + x**4/12 - 107*x**2. Let m(r) = -4*r**2. Give m(p(w)).
-324*w**4 + 144*w**3 - 16*w**2
Let o be (6/(-1))/6*(-4 + 1). Let t(y) be the third derivative of 0*y**o + 0*y**4 - 3*y**2 + 0 + 1/20*y**5 + 0*y. Let p(a) = -a**2. What is t(p(s))?
3*s**4
Let x(v) = 2*v**2. Let i(r) be the first derivative of r**2/2 + 8*r - 3. Let y be i(8). Let q(p) = -16 - 3*p + y. Give x(q(u)).
18*u**2
Let w(a) = -3*a. Let k(f) = -13*f**2 + 12*f**2 + 2*f**2 + 78. Give k(w(z)).
9*z**2 + 78
Let h(n) be the second derivative of 425*n**4/12 + n + 88. Let i(y) = 2*y**2. Calculate i(h(g)).
361250*g**4
Let f(a) be the second derivative of -5*a**4/6 - a. Let z(i) = -3*i - 7. Let b be z(-3). Let y(v) = 0*v**2 + 0*v**2 + 3*v**2 - 4*v**b. Calculate y(f(t)).
-100*t**4
Let i(m) = m**2 + m + 1. Let f(l) = 6*l**2 - 6*l - 6. Let z(k) = f(k) + 6*i(k). Let v(n) = 110*n**2 + 97*n**2 - 210*n**2. Give z(v(c)).
108*c**4
Let t(y) = 13*y. Let z(j) = j**2 - 5*j. Let c(i) = -i. Let o(x) = x**3 + 6*x**2 + 3*x + 8. Let h be o(-6). Let w(a) = h*c(a) + 2*z(a). Determine t(w(s)).
26*s**2
Let x(o) = -2*o**2. Let a(m) = 2*m. Let f(y) = 11*y + 3. Let u(r) = 14*a(r) - 2*f(r). Give x(u(v)).
-72*v**2 + 144*v - 72
Suppose -22 = -13*o + 11*o. Let j(i) = -3*i + o*i - 6*i. Let n(x) = -12*x**2. Give n(j(k)).
-48*k**2
Let c(z) be the second derivative of 1/6*z**3 + 0 + 0*z**2 - z. Let k(o) = -o**2. Let j(r) = 16*r**2. Let m(u) = 2*j(u) + 36*k(u). What is c(m(x))?
-4*x**2
Let u(h) = -h. Let y(l) = 28683*l + 2. Calculate y(u(g)).
-28683*g + 2
Let k(g) = 3*g**2 + 13. Let o(l) be the third derivative of -l**5/30 + 144*l**2. What is k(o(w))?
12*w**4 + 13
Let v(s) = -2*s. Let r(z) = -78*z. Let i(p) = -7175*p. Let m(g) = 6*i(g) - 550*r(g). Determine v(m(j)).
300*j
Let h(g) = 55*g - 11. Let s(t) = -12*t - 6*t + 7*t + 2. Let q(c) = 2*h(c) + 11*s(c). Let p(j) = j**2. Calculate q(p(l)).
-11*l**2
Let d(r) = -r - 4. Let x(q) = -2341*q**2 - q. Give d(x(g)).
2341*g**2 + g - 4
Let m(z) = 11*z - 1. Suppose 0 = -g + 4*k - k + 5, 5*k = -3*g + 1. Let d(t) = 2*t**g + 4104 - 4104. Give m(d(l)).
22*l**2 - 1
Let z(u) = -3*u. Suppose 0 = 4*x - 128 + 20. Let j(b) = 12*b + 27. Let t(o) = -o - 2. Let a(k) = x*t(k) + 2*j(k). Calculate z(a(q)).
9*q
Let z(i) = i**2. Let m be 12/(-24)*3*-7. Let l(j) be the first derivative of 0*j - 12 + m*j**2. Give z(l(q)).
441*q**2
Let l(j) be the first derivative of -j**3/6 + j + 1. Let w(d) be the first derivative of l(d). Let g(t) = 151*t**2 - 320*t**2 + 162*t**2. What is w(g(m))?
7*m**2
Let k(i) = -264*i**2 + 20*i + 1. Let n(l) = l + 31. Give n(k(h)).
-264*h**2 + 20*h + 32
Let x(r) = -4*r**2. Let f(s) = -5617*s. Give x(f(o)).
-126202756*o**2
Let c(a) = -3*a. Let o(u) be the first derivative of -u**5/15 - 9*u**2/2 - 5. Let i(q) be the second derivative of o(q). Give i(c(s)).
-36*s**2
Let t(a) = 4879*a**2 - 3. Let s(w) = -8*w. Determine t(s(h)).
312256*h**2 - 3
Let d(p) = 700*p**2 + 684*p**2 - 1386*p**2. Let s(v) = -2 + 12*v + 2. Calculate s(d(a)).
-24*a**2
Let r(t) = t**2. Let w(l) = -2*l. Let u(m) = 14*m - 2. Let d(i) = 2*u(i) + 12*w(i). Let h(c) = -c**2 - 11*c + 11. Let y(k) = -11*d(k) - 4*h(k). Give r(y(z)).
16*z**4
Let p(r) = 3*r**2 + 3*r. Let c(h) = 3810*h. Calculate p(c(g)).
43548300*g**2 + 11430*g
Let c(q) be the third derivative of q**5/5 + q**4/6 + 293*q**2. Let r(f) = 4*f**2. What is c(r(i))?
192*i**4 + 16*i**2
Let h(p) = -58*p + 14. Let z(s) = 20*s - 5. Let o(d) = -3*h(d) - 8*z(d). Let w(j) = -j. Calculate w(o(u)).
-14*u + 2
Let x(r) be the second derivative of 0*r**2 + 1/3*r**3 + 0 + 4*r. Let f(k) = 5*k**2. Give x(f(m)).
10*m**2
Let b = 5 - -8. Let m(p) = -26 + b + 13 + p. Let u(t) = -19*t. Determine u(m(q)).
-19*q
Let u(b) = -152*b. Let y(z) = -1699*z. Determine u(y(m)).
258248*m
Let h(b) be the second derivative of -b**3/6 - 5*b. Let a(l) = -3*l + 2. Let j(t) = 48*t - 33. Let f(u) = -66*a(u) - 4*j(u). Give f(h(o)).
-6*o
Let n(w) = 15 + w - 12 - 3. Let x be (-43)/(-4) + 5/20. Let d(q) = -19*q + x*q + 5*q. What is n(d(z))?
-3*z
Let n(v) = -v**2 + 1613*v. Let g(j) = j. Calculate n(g(y)).
-y**2 + 1613*y
Let z(o) = 36 - 23 - 9*o**2 - 13. Let d(x) = 9*x**2. Give d(z(h)).
729*h**4
Let x be 3 + 6/12*6. Let p(l) = 9*l - 26*l + 9*l + x*l. Let o(t) = 67*t**2. Calculate o(p(r)).
268*r**2
Let s(h) = -40*h + 13*h + 14*h + 3*h + 12*h. Let y(m) = 181*m. Calculate y(s(n)).
362*n
Let g(u) be the second derivative of u**3/2 - 101*u. Let z(k) = -7*k**2 - 16*k. What is g(z(d))?
-21*d**2 - 48*d
Let x(v) = 23*v**2 - 2*v - 2. Let s(f) = 510*f**2 - 45*f - 45. Let o(k) = -2*s(k) + 45*x(k). Let j(d) be the second derivative of -d**3/3 + d. Give j(o(p)).
-30*p**2
Let q(c) = -4*c**2. Let b(t) = -t**2 + 75040. Give b(q(w)).
-16*w**4 + 75040
Let w(r) = -2030*r**2. Let i(f) = 124*f**2 - 2*f. What is i(w(t))?
510991600*t**4 + 4060*t**2
Let n(u) = -11*u - 13. Let m(l) = 5*l + 6. Suppose 0 = 7*j - 6*j - 13. Let x(q) = j*m(q) + 6*n(q). Let f(a) = -5*a. Calculate f(x(s)).
5*s
Let c(u) be the third derivative of -17*u**5/60 + u**3/6 + 7*u**2 - 50*u. Let f(r) = r**2. Calculate c(f(w)).
-17*w**4 + 1
Let c(i) = 27*i. Let k(j) = 63*j**2 - 2. Give c(k(b)).
1701*b**2 - 54
Let u(m) = -3*m. Let k(s) = -s. Let r = 0 - 1. Let d(t) = r*u(t) - 3*k(t). Let i(b) = 6*b**2. Determine i(d(w)).
216*w**2
Let m(b) = 66*b. Let u(l) = 169*l + 9. Calculate m(u(s)).
11154*s + 594
Let q(m) = -793444*m**2. Let o(k) = 6*k**2. What is q(o(r))?
-28563984*r**4
Let s(d) = -122*d - 2. Let f(o) = 326 + 6*o**2 - 7*o**2 - 326. What is f(s(n))?
-14884*n**2 - 488*n - 4
Let l(w) be the first derivative of -9*w**2/2 - 1. Let p(b) be the second derivative of -5*b**3/6 - 281*b. Determine l(p(a)).
45*a
Let x be 196/(-42)*(-54)/4. Let k(a) = -x*a + 2*a**2 + 63*a. Let u(s) = s. Let n(w) = -3*w. Let b(l) = -3*n(l) - 5*u(l). Calculate b(k(y)).
8*y**2
Let v(x) = 0 + 3 - 3 - 4*x. Let w(r) be the second derivative of -r**4/12 + 2*r**2 + 9*r. Let t(u) = -3*u**2 + 9. Let m(i) = 4*t(i) - 9*w(i). What is v(m(o))?
12*o**2
Let c(y) = 606*y**2. Let x(s) = -33*s + 1. What is c(x(r))?
659934*r**2 - 39996*r + 606
Let u(o) = 3*o. Let w(s) = -22688*s**2 + s - 2. Calculate w(u(j)).
-204192*j**2 + 3*j - 2
Let q(j) = -j. Let f = -17 + 58. Let k(t) = -17*t**2 - 16*t**2 - 10*t**2 + f*t**2. What is q(k(b))?
2*b**2
Let u(l) = l. Let d(q) be the third derivative of -7/20*q**5 + 0 + 0*q - 13*q**2 + 0*q**3 + 0*q**4. Give d(u(j)).
-21*j**2
Let s(j) = j. Let b(o) = 5471692*o. Calculate s(b(r)).
5471692*r
Let q(b) = -7*b - 1478. Let k(x) = -27*x. Calculate k(q(g)).
189*g + 39906
Let q(p) = p**2. Let w = -41 + 71. Let l(g) = -54*g - 24*g**2 + 24*g + w*g. Determine l(q(c)).
-24*c**4
Let a(t) = -2*t**2 + 28*t - 134. Let p(v) = -v. What is a(p(l))?
-2*l**2 - 28*l - 134
Let b(k) be the third derivative of -3*k**4/8 - 2*k**3/3 + 289*k**2. Let a(d) = -3*d. Determine b(a(h)).
27*h - 4
Let l(t) = -4*t. Let y(r) = 25*r**2 - 36*r + 17. Calculate l(y(w)).
-100*w**2 + 144*w - 68
Let g(l) be the second derivative of l**3/6 - 518*l. Let b(j) be the third derivative of -j**5/30 - j**2. Give g(b(y)).
-2*y**2
Let l(y) = 64*y. Let x(n) = -3*n**2 + 24524. What is l(x(r))?
-192*r**2 + 1569536
Let h(n) be the second derivative of -n**3/3 + 2*n. Suppose 0 = g + 4*g, 0 = 2*f - 3*g - 60. Let u(i) = -10*i + 19*i - f*i - 3*i. Give h(u(z)).
48*z
Let f(i) be the third derivative of i**5/30 - 49*i**2. Let d = 1 + 1. Let a(b) = 5*b**2 - 2*b**2 + b**d. Calculate f(a(u)).
32*u**4
Let u(x) = -15*x**2 + 10*x + 20. Let l(p) = -46*p**2 + 32*p + 64. Let j(g) = 5*l(g) - 16*u(g). Let r(b) be the first derivative of b**2/2 - 1. Give j(r(h)).
10*h**2
Let v(d) = 9*d. Let s(c) be the third derivative of -7*c**4/24 + 45*c**2 - 2. Calculate s(v(j)).
-63*j
Let h(n) = 3*n. Let i(b) = -216209*b. Calculate i(h(t)).
-648627*t
Let k(w) = 2*w - 2. Let x(y) = -10*y + 12. Let f(b) = 6*k(b) + x(b). Let l(a) = 13*a + 26. Let d(s) = -s + 1. Let i(u) = | {
"pile_set_name": "DM Mathematics"
} |
7 dps.
-0.0000012
Let c = -0.0871 - 466.9129. Let r = c + 529.6. Let j = -58 + r. What is j rounded to the nearest integer?
5
Let r be (-9)/4*-6*2. Suppose 4*x + 8 = 3*b, 5*x = -5*b + r - 2. Suppose -5*o + s = 6664 + 3233, -o + b*s = 1968. Round o to the nearest 100.
-2000
Let b(h) = -2*h**3 - 8*h**2 + 7*h - 9. Let k be b(-7). Suppose 0 = 244*i - k*i - 768. What is i rounded to the nearest 100?
100
Let h = -14684688252.600002036 + 14684688199. Let o = h + 53.6. What is o rounded to 7 decimal places?
-0.000002
Suppose -251*l - 15504720 = -229*l. What is l rounded to the nearest 100000?
-700000
Let j = -0.00103729 + 0.001563. What is j rounded to six decimal places?
0.000526
Let q(n) = -5*n**3 - 3*n**2 - 34*n + 96. Let b(i) = 2*i**3 + i**2 + 16*i - 46. Let l(v) = 9*b(v) + 4*q(v). Let h be l(7). Round h to the nearest ten.
-810
Let v(y) = 621*y**3 - 4*y**2 - 12*y - 85. Let s be v(-5). Round s to the nearest 10000.
-80000
Let f = -884924.00002 + 884858. Let t = 66 + f. What is t rounded to four dps?
0
Let w = 8729.001732 - 8729. What is w rounded to five decimal places?
0.00173
Let y = 40.3619 - 0.1319. Round y to the nearest 10.
40
Let b(s) = 322*s**2 + 69. Let t(l) = 321*l**2 - l + 72. Let z(u) = -4*b(u) + 3*t(u). Let o be z(-20). What is o rounded to the nearest ten thousand?
-130000
Let x(v) = v + 5*v**2 - 2*v**2 - 7 + 293*v**3 + v + 0*v**2. Let f be x(3). Suppose -2*r + f = -5*z - 63573, -3*z + 5*r = 42925. Round z to the nearest 1000.
-14000
Let c = -90142 + 136347. Let i be (2/5)/1 + (-57)/(-95). Let n be (c/(-3) - (-8)/12) + i. What is n rounded to the nearest 1000?
-15000
Let r(j) = 54401*j + 1077. Let b be r(23). What is b rounded to the nearest 10000?
1250000
Let i = -0.5391 + 0.53915082. Round i to six dps.
0.000051
Suppose -16 = -4*r, -t + 11 = -2*t + 4*r. Suppose -6790 = -2*o + t*j, -2*o - 4*j + 6428 = -380. Let m = o - 1380. What is m rounded to the nearest 100?
2000
Let w = -845.16028 - -796.979749. Let q = 0.970769 - w. Let s = q + 0.0487. Round s to the nearest 10.
50
Let p = -67182 + 67168.3215. Let l = p - -72.509. Let s = l - -0.0695. What is s rounded to the nearest 10?
60
Let q = -331 - -307.8. Let y = q - 10.6. What is y rounded to the nearest ten?
-30
Let f = -21003.091 - -20979. Let y = -0.091 - f. Let o = 24.0000019 - y. Round o to six decimal places.
0.000002
Let k = 117748466 + -117747817.99893. Let w = k - 635. Let u = -13 + w. Round u to four decimal places.
0.0011
Let a = 13.808 - -2311.392. What is a rounded to the nearest 10?
2330
Let o = -132.76357 - -132.66. What is o rounded to 2 dps?
-0.1
Let w = -3936.23 - -4262. Let l = 341.6 - w. Round l to 1 dp.
15.8
Let i = -0.116 - -0.051. Let c = -33 - -33.0668. Let p = i + c. What is p rounded to three decimal places?
0.002
Let v(u) = u**2 + 45*u - 51. Let r be v(-45). Let l be (-340)/r*(-186)/(-8). Round l to the nearest one hundred.
200
Let c = 6789.24 - 7380. What is c rounded to the nearest 10?
-590
Let c = 11253 + -11112.34. Let f = 147 - c. What is f rounded to 1 dp?
6.3
Let u = 12.29344894 - 12.405158. Let s = 0.1117 + u. Round s to 7 dps.
-0.0000091
Let c = 234.878 + -235. Let p = -0.404 - c. Round p to 2 decimal places.
-0.28
Let y = -13852790481 + 13852790877.99998653. Let d = y - 397. Round d to 6 dps.
-0.000013
Let w = -15976112.497638 - -15975982.7. Let m = w + -0.129362. Let h = 130 + m. What is h rounded to 2 dps?
0.07
Suppose 4*j = 2*i - 10, -4 - 6 = -2*i - j. Let t(f) = 115*f**2 - 27*f - 1. Let d be t(i). Round d to the nearest one hundred.
2700
Let s = -9.2676 + 573.8776. Round s to the nearest 100.
600
Let o = -1.0108 + 1.07573. Round o to 3 decimal places.
0.065
Let h be (-14*5/(-15))/(2/9). Let g = -22 + h. Let u be 1/g*17*-500. What is u rounded to the nearest 1000?
9000
Suppose 18636840 = -12*r + 21*r. Let m = 1240760 - r. What is m rounded to the nearest one million?
-1000000
Let r = 34 - 34. Suppose 77814 = 4*t - 2*j, 3*j = t - r*j - 19451. Let i = 5254 - t. Round i to the nearest 1000.
-14000
Let i = -33.0021 + 33. Let w = i - 78.8379. Let z = 84 + w. What is z rounded to 1 decimal place?
5.2
Let a be (-80)/6*1056/110. Let w = 51 - 58. Let r be (-307 - w)*(0 - a/(-1)). Round r to the nearest ten thousand.
40000
Let f = 436410754 - -11219246. Round f to the nearest 1000000.
448000000
Let c(f) = -f**3 + 4*f**2 - 1. Let n be c(4). Let s = 4 + n. Suppose 45900003 = 2*d + d + 3*q, -3*d + 45899997 = -s*q. What is d rounded to the nearest 1000000?
15000000
Suppose 20*o - 19*o = 12. Suppose 0 = -2*j + o*j - 24120880. Suppose -7*n = -j - 1717912. What is n rounded to the nearest one hundred thousand?
600000
Let d = 4504 + -4504.004917. What is d rounded to three decimal places?
-0.005
Let x = -0.474899219 + 0.47486. What is x rounded to 6 dps?
-0.000039
Let w = -92.08 - -2.08. Let h = -90.58 - w. Let d = h + 0.522. Round d to two decimal places.
-0.06
Let w = 42256.05050024 + -42219.0505. Let y = -37 + w. What is y rounded to seven dps?
0.0000002
Let m = -3888 + 3928. Let g = -2623015087 - -2623015047.00000017. Let y = m + g. What is y rounded to 7 dps?
0.0000002
Suppose -12*v = 22238 - 74. Round v to the nearest 10.
-1850
Let f(w) = 239*w**3 + 2*w**2 + 7*w + 4. Suppose -10 = -3*p + 2. Let k be f(p). Let z = -25660 + k. Round z to the nearest 1000.
-10000
Let g = -0.0337 + 8.5537. Let z = -8.5199817 + g. What is z rounded to six decimal places?
0.000018
Let j = -1 + 5.3. Let m = 6 - j. Let v = m + -1.699. What is v rounded to 2 decimal places?
0
Let c = 27417498492.499999759 - 27417498045.5. Let j = 447 - c. What is j rounded to 7 dps?
0.0000002
Let g = 4701.999985909 + -4702. Round g to six decimal places.
-0.000014
Suppose -120 = -12*d + 60. Let k be -1062500*((-5)/(-15) + 1/d). Round k to the nearest ten thousand.
-430000
Let t = 0.901 - -624.099. Let j = t - 624.99749. Round j to four decimal places.
0.0025
Let t = -277188437.9999356 - -277188254. Let a = t + 184. What is a rounded to five dps?
0.00006
Let v = 26999.8325 - 27039. Let q = v + 39.1. What is q rounded to 3 dps?
-0.068
Let f = 372.36 - 332.797. Round f to the nearest integer.
40
Suppose 3*t - 5*t - 2*p = -350, 2*t = 4*p + 362. Suppose -k + 284 = 2*d - 5*k, -2*k + 548 = 4*d. Suppose -5*w + t = -d. What is w rounded to the nearest 10?
60
Suppose -5*i - 5*r + 9 = -11, -2*i = -2*r - 8. Suppose 10531 = 3*v - 5*h - 247749, i*h = 4*v - 344384. Round v to the nearest 10000.
90000
Let a be ((-169)/39)/((2/2)/153). Let b = a + 596. What is b rounded to the nearest ten?
-70
Let q = -431.681 + 459.27. Let f = -24.9 - 2.5. Let c = q + f. What is c rounded to 2 dps?
0.19
Let m = -11.85 - 1.15. Let a = 12.9999876 + m. What is a rounded to five dps?
-0.00001
Let y = 105409777 - -83400223. Round y to the nearest 1000000.
189000000
Let y = -10212 + 10213.1031. What is y rounded to 2 decimal places?
1.1
Suppose -120185669 = 125*x + 12*x - 43431419. What is x rounded to the nearest ten thousand?
-560000
Let k = -8329590 + 8329710.9999825. Let z = k - 121. What is z rounded to six dps?
-0.000018
Let l = 18756.999966039 + -18757. Round l to five decimal places.
-0.00003
Let q(l) = 215541*l**2 - 9*l + 4. Let w be q(-3). What is w rounded to the nearest ten thousand?
1940000
Let z = -34.2 - -38. Let r = -6265003.7999978 - -6265000. Let t = r + z. What is t rounded to 6 decimal places?
0.000002
Let k(o) = -9884*o**2 + 78*o - 144. Let j be k(36). What is j rounded to the nearest 1000000?
-13000000
Suppose -28*n + 6837846 = -25*n. Let a = n - 1589282. Suppose a = 8*r - 7*r. What is r rounded to the nearest 100000?
700000
Let p(t) = 11503*t**2 + 258*t + 13. Let z be p(-3). Round z to the nearest 1000.
103000
Let q = 0.572 - -88.428. Let x = q + -88.99999421. Round x to seven decimal places.
0.0000058
Let n = -27016 - -27016.0010901. What is n rounded to 4 dps?
0.0011
Let t = 23.542 + -0.542. Let v = 23.01674 - t. What is v rounded to three dps?
0.017
Let x = -598.041 + 541.0403. Let f = -6.5 + -50.5. Let k = f - x. Round k to three dps.
0.001
Let m = 43.30610743 + -43.34731. Let h = 0.01706 - 0.05826. Let f = h - m. What is f rounded to seven decimal places?
0.0000026
Let s = 1.619306757 - 1.6193. What is s rounded to 7 dps?
0.0000068
Let v = 13208176 + -20978182. Let y be 2*2/14 - v/(-21). Round y to the ne | {
"pile_set_name": "DM Mathematics"
} |
ine r(f(y)).
540*y**2
Let w(v) = 2*v. Suppose -40 = 5*n - r + 66, 0 = -4*n - 5*r - 79. Let p(x) = -3*x - 5. Let d(b) = 14*b + 21. Let z(a) = n*p(a) - 5*d(a). What is w(z(h))?
-14*h
Let u(k) = 2*k + 44. Let l be u(8). Let n(f) = -l*f - 75*f + 143*f. Let o(i) be the third derivative of i**4/8 - 2*i**2. Determine o(n(w)).
24*w
Let o(z) = -2*z. Let q(h) = 146606755*h. Calculate o(q(f)).
-293213510*f
Suppose -129 = -102*n + 177. Let l(x) be the first derivative of 10 + 0*x + 0*x**2 + 2/3*x**n. Let a(u) = 20*u. Determine a(l(k)).
40*k**2
Suppose 0 = 2*c - 325 + 313. Let r(g) = -14*g + 17. Let v(m) = 5*m - 6. Let k(q) = c*r(q) + 17*v(q). Let s(b) = 11*b - 5. Calculate k(s(l)).
11*l - 5
Let f(a) = -4*a**2 + 2*a**2 + 4*a**2. Suppose 0 = 13*m + m - 490. Let t(x) = 8527*x - 8527*x + m*x**2. Calculate t(f(b)).
140*b**4
Let v(b) = -2318096*b. Let x(i) = -15*i. Determine x(v(p)).
34771440*p
Let d(s) = -s. Suppose 659 = 4*j + 27. Let p(f) = 2*f**2 - 158 - 38*f + j. Determine d(p(z)).
-2*z**2 + 38*z
Let n(l) = -610782*l**2 + 31*l + 2. Let d(s) = -s**2. What is n(d(p))?
-610782*p**4 - 31*p**2 + 2
Suppose -5*z - 24 = 2*y, -157*y + 158*y - 4*z = 27. Let t(s) be the second derivative of 0 + 29*s + 1/6*s**y + 0*s**2. Let v(l) = -30*l. Determine t(v(b)).
-30*b
Let o(f) = -2*f. Let c(x) = 214*x**2 - x + 349*x**2 + 5*x + 13*x**2 + 853*x**2. What is c(o(t))?
5716*t**2 - 8*t
Let j = 155 - 61. Let g(r) = -j*r - 81*r + 23*r - 52*r. Let u(m) = 2*m. Calculate u(g(c)).
-408*c
Let n(s) be the third derivative of 131*s**4/12 + 138*s**2 - 7*s. Let k(c) = -15*c. Determine k(n(q)).
-3930*q
Let d(n) = -n**2. Let f(o) = -4981529*o. Determine f(d(l)).
4981529*l**2
Let n(r) be the first derivative of 1/3*r**3 + 49 + 0*r + 0*r**2. Let a(p) = -144*p**2 - 33. Let t(x) = -9*x**2 - 2. Let f(z) = 2*a(z) - 33*t(z). Give n(f(b)).
81*b**4
Let g(u) = -7*u. Let k(o) = 451*o - 852*o + 4 + 413*o. Calculate k(g(z)).
-84*z + 4
Let g(w) = -4945*w - 21 + 160*w + 10 + 11. Let y(q) = -q**2. What is g(y(u))?
4785*u**2
Let o(q) = 14*q. Let j(d) = 142*d**2 - 28448. Determine j(o(c)).
27832*c**2 - 28448
Let r(a) = -249255*a**2 + 12*a. Let o(k) = 43*k. Give r(o(w)).
-460872495*w**2 + 516*w
Let l(m) = -434347*m. Let w(u) = 18*u - 1. Give w(l(q)).
-7818246*q - 1
Let v(w) = 23*w**2. Let c(x) = 6*x - 6. Let d(q) = q - 3. Let r(k) = -11*k - 81. Let s be r(-7). Let f(i) = s*d(i) + 2*c(i). Calculate v(f(j)).
1472*j**2
Let u(t) = 7*t**2. Let n = -1560 - -1560. Let k(v) be the second derivative of n + 0*v**2 - 18*v + 1/3*v**3. What is k(u(h))?
14*h**2
Let b(x) be the third derivative of 0*x**4 + 0*x + 0 + 0*x**3 + 2/15*x**5 + 241*x**2. Let t(v) = -4*v**2 + v. Give t(b(f)).
-256*f**4 + 8*f**2
Suppose -57*j = -11*j - 22034. Let g(m) = -234*m**2 - 248*m**2 + j*m**2. Let c(l) = -60*l**2. Determine g(c(v)).
-10800*v**4
Let v(a) = -14 + 5*a**2 + 11*a**2 + 183 - 169. Let g(m) = 119*m**2. Determine g(v(n)).
30464*n**4
Let f(l) = 3 - l - 3. Let c(i) be the first derivative of -48 + 0*i - 25/2*i**2. Give f(c(w)).
25*w
Let p(x) be the second derivative of -29*x**4/6 + 1803*x. Let w(b) = 33*b**2. Calculate w(p(k)).
111012*k**4
Let a(d) = 6*d**2 - 7*d**2 - 4*d**2 + 3*d**2. Let r(b) = -663*b. What is r(a(p))?
1326*p**2
Let n(t) = -2*t**2 - 5*t - 5. Let g(u) = 7 - 3*u**2 + 5*u**2 + 0*u + 7*u + u**2. Let b(h) = 5*g(h) + 7*n(h). Let f(a) = 16*a**2. Give f(b(m)).
16*m**4
Let z(x) = 368*x**2 + 2*x. Let d(u) be the third derivative of -u**4/6 + 201*u**2 - 4*u. Calculate z(d(a)).
5888*a**2 - 8*a
Let p(h) = 2*h**2. Let w(k) = -57*k**2 + 259*k - 124. Let b(q) = -74*q**2 + 345*q - 166. Let u(r) = 10*b(r) - 13*w(r). Give u(p(j)).
4*j**4 + 166*j**2 - 48
Let q(x) be the first derivative of -x**2/2 + 25. Let n(k) = 1080*k. Let y(h) = 226439*h. Let p(b) = -1468*n(b) + 7*y(b). What is q(p(o))?
367*o
Let w(b) = 54*b**2 - 4. Let m(j) = -655*j**2 + 1170*j**2 - 516*j**2. What is w(m(o))?
54*o**4 - 4
Let n(t) = 27*t**2. Let w(d) = -7925254*d. What is n(w(y))?
1695860576041932*y**2
Let i(y) = 12419*y**2. Let m(s) = -8*s**2 - 24. Calculate m(i(g)).
-1233852488*g**4 - 24
Let p(s) = s - 3*s + 0*s. Let f(w) = w**2 + 121*w + 24. Let r(u) = u**2 + 153*u + 32. Let b(g) = -4*f(g) + 3*r(g). What is p(b(v))?
2*v**2 + 50*v
Let m(y) = -145*y + 150*y + y**2 + 2*y**2. Let u(q) = -9*q - 4. Let v(o) = 16*o + 7. Let n(a) = 7*u(a) + 4*v(a). Give n(m(p)).
3*p**2 + 5*p
Let h(k) = -31935945*k**2. Let x(f) = -2*f. Calculate h(x(y)).
-127743780*y**2
Let k(m) = -5076*m. Let a(t) = 3996*t + 4. Calculate a(k(i)).
-20283696*i + 4
Let p(b) = 5*b + 2. Let s(c) = -22*c - 7. Let g(k) = -4*p(k) - s(k). Let u(z) be the third derivative of -z**4/24 + 6*z**2. Calculate u(g(y)).
-2*y + 1
Let x(d) = -46813*d. Let f(p) = 879*p. Calculate x(f(h)).
-41148627*h
Let q(g) = 137*g. Let z(f) = 40*f. Let j(a) = -2*q(a) + 7*z(a). Let n(d) = -21*d + 1. Calculate j(n(p)).
-126*p + 6
Let u(r) be the first derivative of -r**6/360 + r**3/3 - 15*r - 8. Let f(k) be the third derivative of u(k). Let h(m) = -2*m**2 + 6*m. Calculate h(f(w)).
-2*w**4 - 6*w**2
Let d(c) be the second derivative of 5*c**4/12 - 16*c. Let k(w) = 9*w**2 + 11. Let y(u) = -9*u**2 - 10. Let a(b) = -6*k(b) - 7*y(b). Calculate a(d(t)).
225*t**4 + 4
Let p(d) = -4176*d. Let u(w) = 10*w - 318. Determine p(u(i)).
-41760*i + 1327968
Let j(p) = -14*p - 1. Let f(c) = 325*c + 26. Let q(h) = -f(h) - 26*j(h). Let v(y) = -20*y. Determine q(v(s)).
-780*s
Suppose 0 = 5*x - 5*c - 0*c - 2250, -2*x + 5*c + 912 = 0. Let w(q) = -q + 446 - x. Let z(s) = -2*s**2 - 3*s. Calculate z(w(r)).
-2*r**2 + 3*r
Let t(x) = 6*x**2 - 13*x**2 - x**2 + x**2. Let q(n) = -21*n + 13*n - 6 + 3 + 3. Calculate q(t(h)).
56*h**2
Let i(o) be the third derivative of -455*o**4/24 - 1856*o**2. Let t(a) = a. What is i(t(x))?
-455*x
Let v(y) = 12*y**2. Let n(b) = 71*b + 929. Let z be n(-13). Let t(s) = 3 - 1 + 4 - 7*s. Let u(q) = 15*q - 13. Let l(g) = z*u(g) + 13*t(g). Calculate l(v(c)).
-12*c**2
Let t(u) = -16*u. Let p(s) be the first derivative of -s**5/10 + 4*s**2 - 18. Let x(h) be the second derivative of p(h). Give x(t(r)).
-1536*r**2
Let t(u) = 67*u**2. Let y(x) = x - 6. Let k(o) = 3*o + 36. Let r(g) = k(g) + 6*y(g). Give t(r(f)).
5427*f**2
Let z be 6/7*(-7)/(-1). Let d(l) = -l + z - 6. Let t(q) = 888684*q + 14*q**2 - 888684*q. What is t(d(p))?
14*p**2
Let x(p) = 29145*p**2. Let n(m) = 13268*m. Give n(x(q)).
386695860*q**2
Let j(f) be the third derivative of -15*f**4/2 + f**3/3 + 4173*f**2. Let t(u) = -7*u**2. Give j(t(y)).
1260*y**2 + 2
Let d(b) = -53*b**2 + 24*b - 30*b + 6*b + 276*b**2. Let o(u) = 4*u. What is d(o(q))?
3568*q**2
Let n(u) be the first derivative of -2*u**3/3 + 1035. Let f(z) = -524*z**2. Give n(f(w)).
-549152*w**4
Suppose -5*n + n = -68. Let w = 18 - n. Let x(d) = d - 1. Let c(v) = 11*v**2 - 66*v + 66. Let f(q) = w*c(q) + 66*x(q). Let m(t) = -t. Give m(f(l)).
-11*l**2
Let b = -177 + 189. Let t(l) = -b*l + 15*l + 4*l. Let o(f) = -f. Give o(t(w)).
-7*w
Let q(a) be the first derivative of -8*a**3/3 - 1805. Let h(k) = -85*k**2. Give q(h(z)).
-57800*z**4
Let j(g) = 2*g**2. Let a = 40 - 18. Let o = a + 49. Let d(k) = o - 4*k - 71. Give d(j(s)).
-8*s**2
Let f(q) = -171*q - 856. Let k(t) = 8*t + 41. Let n(u) = 2*f(u) + 43*k(u). Let r(w) = 6*w**2 - 2*w**2 - w**2. Calculate n(r(i)).
6*i**2 + 51
Let h(p) be the third derivative of -p**7/840 + 59*p**4/24 - p**3/6 - 53*p**2. Let z(r) be the second derivative of h(r). Let v(b) = 70*b**2. Calculate v(z(s)).
630*s**4
Let w(o) = 10*o. Let x(h) be the second derivative of 55*h**3/6 + 765*h. What is w(x(c))?
550*c
Let o(z) be the third derivative of 0*z - 27 - z**2 + 3/5*z**5 + 0*z**3 + 0*z**4. Let i(x) = -6*x. Determine o(i(v)).
1296*v**2
Let t(n) = 839610*n. Let z(g) = 242*g**2. What is z(t(q))?
170596678408200*q**2
Let s(j) = 3*j - 6. Let r = 31 - 37. Let n be -10 - -5 - -8 - r/2. Let c(v) = -v + 1. Let w(d) = n*c(d) + s(d). Let y(a) = 10*a. Give y(w(q)).
-30*q
Let s(r) = 24*r**2. Let x(j) = 2901268*j**2. What is x(s(t))?
1671130368*t**4
Let d(m) = m. Let l(t) = -t - 2. Let g(c) be the third derivative of 5*c**4/24 - 2*c**3/3 + 4*c**2. Let n(o) = -g(o) + 2*l(o). Calculate n(d(x)).
-7*x
Let k(m) = 6*m**2 + 0*m**2 - 8*m**2 + m**2. Let f(w) = w. Let n(b) = -6*b + 3*b - 3*b + 2*b. Let a(d) = -5*f(d) + n(d). Determine k(a(s) | {
"pile_set_name": "DM Mathematics"
} |
rrrbb. What is prob of picking 1 b and 1 k?
5/68
Calculate prob of picking 1 e and 2 c when three letters picked without replacement from {d: 2, c: 2, r: 1, e: 1}.
1/20
What is prob of picking 3 t and 1 z when four letters picked without replacement from zttttzttzzttz?
56/143
Three letters picked without replacement from fkfenkk. Give prob of picking 2 k and 1 e.
3/35
Three letters picked without replacement from {i: 1, a: 3, p: 1, z: 5, w: 1, t: 2}. Give prob of picking 2 z and 1 w.
5/143
Four letters picked without replacement from {v: 1, t: 1, y: 2, n: 3, j: 3, h: 7}. Give prob of picking 1 h, 1 t, and 2 y.
1/340
What is prob of picking 1 a, 1 y, and 1 l when three letters picked without replacement from yaaatuyuylauyylyuau?
20/323
Calculate prob of picking 1 g, 1 u, and 1 r when three letters picked without replacement from rrnannugngg.
2/55
Two letters picked without replacement from {u: 3, s: 4, o: 1, f: 6}. What is prob of picking 1 u and 1 f?
18/91
Two letters picked without replacement from {l: 1, g: 1, k: 1, b: 1, j: 1}. Give prob of picking 1 l and 1 b.
1/10
What is prob of picking 2 j when two letters picked without replacement from eejejpjzjezjecss?
1/12
Four letters picked without replacement from {b: 7, k: 4, p: 4, e: 1, i: 1}. Give prob of picking 1 i, 1 k, 1 e, and 1 p.
4/595
Calculate prob of picking 1 d, 1 r, and 1 x when three letters picked without replacement from {r: 2, d: 7, x: 3}.
21/110
Calculate prob of picking 2 y and 2 x when four letters picked without replacement from {y: 7, x: 2}.
1/6
What is prob of picking 1 j and 1 c when two letters picked without replacement from rreeejpjcjejeecjjrj?
14/171
Two letters picked without replacement from {m: 2, r: 2, j: 1, q: 1, c: 6}. Give prob of picking 2 r.
1/66
Four letters picked without replacement from {c: 5, s: 1, u: 12}. What is prob of picking 1 s and 3 u?
11/153
Three letters picked without replacement from {k: 4, v: 3, y: 2, f: 1, q: 1}. What is prob of picking 1 k, 1 v, and 1 f?
4/55
Two letters picked without replacement from {p: 4, b: 1, m: 1, c: 5}. What is prob of picking 2 p?
6/55
Three letters picked without replacement from kekeejjejeejje. What is prob of picking 2 j and 1 k?
5/91
What is prob of picking 2 q when two letters picked without replacement from {q: 3, i: 1}?
1/2
Three letters picked without replacement from jjgjggjjjj. Give prob of picking 2 g and 1 j.
7/40
What is prob of picking 3 h when three letters picked without replacement from hhhmmmmmbhrmmmmb?
1/140
Calculate prob of picking 2 b and 1 x when three letters picked without replacement from {r: 2, x: 2, b: 9}.
36/143
Three letters picked without replacement from {n: 6, z: 2, d: 1, s: 4, v: 2, a: 2}. Give prob of picking 2 z and 1 a.
1/340
Calculate prob of picking 1 e and 1 k when two letters picked without replacement from kzeetz.
2/15
What is prob of picking 1 q and 1 w when two letters picked without replacement from ccnnnckcnnncwqcnqccn?
1/95
What is prob of picking 1 a, 1 n, and 2 c when four letters picked without replacement from {d: 4, a: 3, n: 5, c: 5, b: 1}?
5/102
Two letters picked without replacement from {a: 3, e: 4, s: 4, w: 6}. What is prob of picking 1 a and 1 w?
9/68
Three letters picked without replacement from {j: 2, w: 1, q: 1, l: 3, u: 3}. Give prob of picking 3 u.
1/120
Three letters picked without replacement from {e: 10, s: 2}. What is prob of picking 2 e and 1 s?
9/22
Three letters picked without replacement from {h: 7, n: 3, u: 1, m: 2, y: 1}. What is prob of picking 1 h, 1 n, and 1 m?
3/26
Three letters picked without replacement from {q: 1, z: 7}. What is prob of picking 3 z?
5/8
What is prob of picking 1 n and 1 p when two letters picked without replacement from nnrzrnnuzrpznruzuurr?
1/38
Two letters picked without replacement from {t: 2, x: 3, m: 1, i: 5, b: 1}. What is prob of picking 2 t?
1/66
Three letters picked without replacement from {g: 1, j: 7, p: 6}. What is prob of picking 2 j and 1 g?
3/52
Three letters picked without replacement from {c: 1, q: 3, v: 5}. What is prob of picking 2 q and 1 c?
1/28
Four letters picked without replacement from {h: 1, t: 5, y: 1, x: 1, g: 1}. Give prob of picking 1 x, 1 y, 1 g, and 1 t.
5/126
What is prob of picking 4 w when four letters picked without replacement from bwwkwwkbkwbkkbwkbbk?
5/1292
Calculate prob of picking 1 r and 1 k when two letters picked without replacement from {r: 5, k: 2, e: 13}.
1/19
Calculate prob of picking 1 m and 1 i when two letters picked without replacement from {h: 6, i: 3, m: 2, e: 1, b: 1}.
1/13
Calculate prob of picking 2 o and 2 l when four letters picked without replacement from {l: 2, m: 4, o: 5}.
1/33
What is prob of picking 1 r, 1 f, and 1 d when three letters picked without replacement from crdfrfdcdffcdufd?
5/56
Three letters picked without replacement from yffffyfffffffyffff. Give prob of picking 1 y and 2 f.
105/272
Two letters picked without replacement from {i: 4, u: 8, y: 3, e: 2}. What is prob of picking 2 e?
1/136
Calculate prob of picking 1 m, 1 t, and 2 o when four letters picked without replacement from {t: 2, m: 6, o: 4, y: 1}.
72/715
Calculate prob of picking 1 r and 1 c when two letters picked without replacement from {w: 1, k: 2, n: 2, r: 1, c: 1}.
1/21
What is prob of picking 1 f and 1 e when two letters picked without replacement from eknkfekknknkeee?
1/21
Four letters picked without replacement from cctctcchcccccp. Give prob of picking 1 p, 2 c, and 1 t.
90/1001
Calculate prob of picking 1 e and 2 h when three letters picked without replacement from eeheeeheehheeeheee.
65/408
Calculate prob of picking 1 i and 1 z when two letters picked without replacement from {k: 4, i: 1, z: 2, h: 1, j: 1, b: 6}.
2/105
Four letters picked without replacement from mvvvxmvkkvnmkxmk. What is prob of picking 1 k, 1 n, and 2 m?
6/455
What is prob of picking 2 p and 2 v when four letters picked without replacement from {v: 2, k: 1, g: 4, o: 4, p: 3}?
3/1001
Calculate prob of picking 1 g and 2 t when three letters picked without replacement from ggtggggggtgtgggg.
39/560
Calculate prob of picking 1 w and 2 o when three letters picked without replacement from oofomwomfdf.
2/55
Calculate prob of picking 1 u and 1 d when two letters picked without replacement from oucodonnnnooo.
1/78
What is prob of picking 1 w and 1 u when two letters picked without replacement from {c: 1, u: 2, w: 1, y: 1}?
1/5
What is prob of picking 2 d when two letters picked without replacement from {u: 2, d: 7, g: 11}?
21/190
Calculate prob of picking 1 l and 1 h when two letters picked without replacement from {h: 6, c: 2, l: 1, j: 3, y: 1}.
1/13
Calculate prob of picking 1 i and 1 g when two letters picked without replacement from ggig.
1/2
Three letters picked without replacement from {t: 11, h: 3}. What is prob of picking 3 t?
165/364
Calculate prob of picking 1 j, 1 c, and 1 h when three letters picked without replacement from richjjj.
3/35
Four letters picked without replacement from {p: 4, y: 7}. Give prob of picking 2 p and 2 y.
21/55
Two letters picked without replacement from {g: 1, s: 5, f: 3, p: 1}. What is prob of picking 1 f and 1 p?
1/15
Four letters picked without replacement from ilninilliipyn. What is prob of picking 2 i, 1 y, and 1 l?
6/143
What is prob of picking 1 q and 2 y when three letters picked without replacement from {q: 10, p: 2, h: 2, y: 6}?
5/38
Two letters picked without replacement from {g: 1, y: 2, o: 1, q: 4}. Give prob of picking 1 o and 1 q.
1/7
Calculate prob of picking 2 l when two letters picked without replacement from nylelxxp.
1/28
What is prob of picking 1 h, 1 t, 1 p, and 1 r when four letters picked without replacement from prrytyhoyyyyyrpoytry?
16/4845
Calculate prob of picking 1 b and 1 r when two letters picked without replacement from rshbhhhbrasb.
1/11
Four letters picked without replacement from {k: 2, g: 2, b: 1, h: 1, a: 1}. What is prob of picking 1 h, 1 a, 1 b, and 1 g?
2/35
What is prob of picking 2 y, 1 s, and 1 r when four letters picked without replacement from {s: 10, d: 4, y: 2, e: 2, r: 1}?
5/1938
Two letters picked without replacement from ctcctccctttctcttct. What is prob of picking 2 c?
4/17
What is prob of picking 2 x, 1 g, and 1 a when four let | {
"pile_set_name": "DM Mathematics"
} |
6*z - 3*z**2 + 5*z**2 + 4*z**2 + z**3 - 2. What is the remainder when y is divided by t(-2)?
0
Let a(i) = i**2 - 9*i - 20. Let u = 71 + -60. Let v be a(u). Suppose 3*z + 133 = v*g, -5*g + 253 = -2*z - 85. Calculate the remainder when g is divided by 14.
12
Suppose -5*h + 15 + 140 = 3*t, -h + 43 = 3*t. Let y be -8 + (3 - -3 - 0). Calculate the remainder when (-1)/y*-3 + (-26414)/(-188) is divided by h.
27
Suppose 3*d - 73 = i, 4*i - 7*i = -4*d + 104. Let q be 3 + (196/(-42))/((-1)/(-3)). Let a = d + q. What is the remainder when 35 is divided by a?
11
Let r(l) = 136*l - 1199. What is the remainder when 32075 is divided by r(11)?
296
Let f(g) = -2*g. Suppose 464 + 760 = 12*w. What is the remainder when w is divided by f(-13)?
24
Suppose -5*p + 2 = 3*y - 2, p + 4*y + 6 = 0. Let x = 2510 + -2494. What is the remainder when (p - -3)/((-3)/(-18)) is divided by x?
14
Let o(z) = -z**3 - 7*z**2 + 8. Let t(b) = -b**2 - 5*b + 29. Let l be t(-9). Let r be o(l). Let h(u) = -u + 22. What is the remainder when h(r) is divided by 3?
2
Suppose 2*y + 2*b - 2 = 0, b + 3639 = y + 3630. Let t(m) = m - 3. Let c(j) = 1. Let u(q) = -3*c(q) - t(q). Calculate the remainder when y is divided by u(-5).
0
Let i = -4 - -14. Suppose -3*m - n - 4 = -15, 2*n + 28 = 4*m. Suppose m*d = 6*d - 127. Calculate the remainder when d is divided by i.
7
Calculate the remainder when 356 is divided by 4 - 4 - -22 - (-60)/15.
18
Let w = -227 + 713. Suppose 8*n - w = -n. Calculate the remainder when 98 is divided by n.
44
Suppose 3*j - 5 = -3*h + 2*h, -3*j + 20 = 4*h. Suppose 4*z - 4 = j, -43*f + 5*z = -41*f - 5. Let u = 7 + -4. Calculate the remainder when f is divided by u.
2
Let n(r) = -r**3 + 6*r**2 - 7*r + 8. Let k be n(4). Suppose k*f = 13*f - 30. Suppose f*j + 243 = 33*j. Calculate the remainder when j is divided by 42.
39
Let m(v) = -51*v**2 - v**3 - 19 + 95*v**2 - 52*v**2 - 3*v. Suppose -21 = -4*n - 5*y, 42 = 3*n - y - 4*y. Calculate the remainder when n is divided by m(-8).
4
Suppose -74 = 4*t - 5*t. What is the remainder when t is divided by 27 - 3*11/(-33)?
18
Let y = 573 - 221. Let a = -337 + y. Suppose -3*f + 285 = 2*f. What is the remainder when f is divided by a?
12
Let d = -2 - -5. Suppose 0 = -5*h + d*h + 70. Suppose 4*n - n = 2*j - 35, 0 = -5*j + 2*n + 93. Calculate the remainder when h is divided by j.
16
Let v(p) = -p + 14. Let t be v(10). What is the remainder when 2296/32 - (-1)/t is divided by 70/2*6/10 + (0 - -6)?
18
What is the remainder when 117 is divided by (-132)/(-12) - (2 + -2)?
7
Suppose 17467 = 4*m - w, 24094 = 5*m + 5*w + 2279. What is the remainder when m is divided by 21?
19
Let g = 58 - 329. Let h = -254 - g. Calculate the remainder when 95 is divided by h.
10
What is the remainder when -24 + 800/25 + (-13152)/(-4) is divided by 138?
122
Let m(t) = 17*t - 62. Suppose x = b + 598, 5*x + 30*b - 26*b = 2963. Calculate the remainder when x is divided by m(5).
20
Let n be 0*(-2)/(-4) - 0. Suppose n = -2*i + 8. Suppose i*h - 57 - 103 = 0. Calculate the remainder when h is divided by 11.
7
Let z be (-1)/(9/(-2)) - 22/18. Let u(d) = 7*d**2 - 1. Suppose -3*n = -i - 74, 5*n - 3*i + i - 125 = 0. What is the remainder when n is divided by u(z)?
5
Let q = 316 - 313. What is the remainder when (-8 + q)*(1 + 2)*-1 is divided by 8?
7
Let c be ((-109)/(-2))/((-22)/44). Calculate the remainder when 106 is divided by (-9)/(-45) - 0 - c/5.
18
Suppose -6*a + a = 5*i - 5680, -5*i + 5645 = -2*a. What is the remainder when i is divided by 111?
21
Let h = 875 + -826. Suppose 3559 = h*i + 276. What is the remainder when 182 is divided by i?
48
Suppose 0 = 10*t + 1066 + 1006 - 3252. Suppose -w + 4*v + 21 = -0*v, -42 = -2*w - 5*v. Calculate the remainder when t is divided by w.
13
Let l(j) = 2*j**2 - 26*j + 253. Calculate the remainder when l(10) is divided by 32.
1
Let d be 9/(27/6) + (-474)/(-2). Let f = 357 - d. What is the remainder when f is divided by 31?
25
Calculate the remainder when 1147 is divided by (25/2)/((-2)/(-2)) + (-6)/(-4).
13
Suppose 9*u + 3*g + 96 = 13*u, 6*u - 144 = 4*g. What is the remainder when 258 is divided by u?
18
Let h = 107 + -6. Let i be 2*6/4 + 93. Suppose i*w + 90 = h*w. Calculate the remainder when 71 is divided by w.
17
Let c be (6/7)/3 - 1172/(-14). Let i = c - 73. Suppose -30 - 56 = -2*u. What is the remainder when u is divided by i?
10
Let n = -4416 + 4550. What is the remainder when 529 is divided by n?
127
Let c = -302 + 494. Let x = 9 + 19. What is the remainder when c is divided by x?
24
Let b(l) = -2*l**3 + 15*l**2 + 66*l + 143. Let h(j) = -2*j**3 - 8*j**2 + 2*j - 5. What is the remainder when h(-6) is divided by b(11)?
17
Suppose -44*f + 8370 = -5*f - 3408. Calculate the remainder when f is divided by 129.
44
Suppose -13*l + 33 = 7, 0 = 5*t - 2*l - 351. What is the remainder when 457 is divided by t?
31
Suppose 3*g + 15 = 4*g + 3*q, -q + 4 = 0. Suppose 0 = -4*l + g*v - 2*v + 287, 0 = 2*l + 2*v - 146. Calculate the remainder when 573 is divided by l.
69
Let p be 2/(-6)*4*462/(-88). Suppose 2*f - 23 = 27. Calculate the remainder when f is divided by p*(7 - 3 - 3).
4
Suppose -4*v = -5 + 25, 0 = 3*f - 3*v - 72. Suppose 3*i - f = 4*t + 14, 4*t + i = -21. What is the remainder when 12/(-8) + 573/t*-1 is divided by 32?
30
Let z be ((4/(-6))/2)/(86/(-7224)). Suppose 10*d + 2196 = z*d. Calculate the remainder when d is divided by 14.
10
Let q(n) = n. Let o(s) = -4*s + 6. Let l(t) = -o(t) - 10*q(t). Let p be l(-3). What is the remainder when p/(-3)*(-11 + 1) is divided by 14?
12
Let a = -14 + 22. What is the remainder when 23 + 11 + -18 - 8 is divided by a?
0
Suppose 3*j = 3 - 27. Calculate the remainder when 25 is divided by (j/24)/((-3)/54).
1
Let z(h) be the first derivative of -13*h**2/2 + 313*h - 121. Calculate the remainder when z(-45) is divided by 60.
58
Let u = -35 + 28. What is the remainder when 65 is divided by -1 + (u/2)/(1/(-2))?
5
Suppose 9*d - 330 = 4*d. What is the remainder when 47 is divided by 4/(-8) - d/(-4)?
15
Let u = 47087 + -47071. Suppose 0 = 4*w - 5*l - 198, -4*w - l + 2*l + 190 = 0. What is the remainder when w is divided by u?
15
Suppose c + 6 - 2 = 3*a, -26 = -c - 3*a. Let z(p) = p**2 - 2*p**2 - 3 - 8 + 6 + 10*p. Calculate the remainder when z(5) is divided by c.
9
Let t = -3 + -7. Let n(i) = i**3 + 11*i**2 + 10*i + 9. Calculate the remainder when (10642/221 - 6) + 2/(-13) is divided by n(t).
6
What is the remainder when ((-10)/21*30 - -10)*-273 is divided by 584?
2
What is the remainder when 1*(106 + (1 - 1)) is divided by 18/(-630) + (-3712)/(-70)?
0
Calculate the remainder when 274 is divided by (25/(-50))/(2/(-616)).
120
Let x(f) = 83*f. Let y(n) = -n**3 + 41*n**2 + 40*n + 87. Let k be y(42). What is the remainder when x(2) is divided by (k - 10/15)*18?
40
Suppose -17 = 3*u + 2*a - 228, a - 209 = -3*u. What is the remainder when u is divided by 24?
21
What is the remainder when (401 - (1 + -1)) + -12 is divided by 193?
3
Let m = -15 + 22. What is the remainder when -1*(-98)/(-245) - (1404/(-10) - 1) is divided by m?
1
What is the remainder when 1 + -12 - (0/3 - 7100) is divided by 10?
9
Suppose 240 = 4*k + 8*k. Suppose -5*u - k = -5*o + 190, 5*o + 5*u = 240. What is the remainder when 222 is divided by o?
42
Let z = 6975 - 6152. Calculate the remainder when z is divided by 94.
71
What is the remainder when 106 is divided by (72 + -22)/((-5)/(-10))?
6
Suppose 0 = -4*n, -257 = -3*f + 4*n - 71. Let w(a) = -a**3 - 12*a**2 + 21*a - 63. Let t = -380 - -366. Calculate the remainder when f is divided by w(t).
27
Let u(p) = 11*p**2 + 1. Let x be u(1). Suppose -72 = 4*o - x*o. Let z = -3 + o. What is the remainder when 29 is divided by z?
5
Let a = 93 - -40. Let w = -100 + a. Suppose m = 3*m - 24. What is the remainder when w is divided by m?
9
Let b(n) = -n**3 + 27*n**2 + 59*n - 749. Calculate the remainder when b(26) is divided by 58.
11
Suppose -4*s + 0*s = 4*s. Suppose -19*j + 3*j + 320 = s. What is the remainder when j is divided by 33/6 + (-2)/4?
0
Let x(p) = 3*p + 33. Let i = -67 - -113. Calculate the remainder when i is divided by x(-7).
10
Suppose 74*j + 25 = 79*j. Let l(c) = 7*c**2 - 3*c + 17. Let t be l(j). What is the remainder when (t - (-6)/(-3)) + 3 is divided by 30?
28
Suppose 0 = 18*r - 4*r - 140. C | {
"pile_set_name": "DM Mathematics"
} |
2 = -5*c. Let k(i) = -i - 1 + c. Determine k(r(a)).
2*a
Let u(a) = a - 215. Let l(t) = t. Determine u(l(m)).
m - 215
Let b(m) = 2095*m. Let j(i) = 5*i. Give j(b(y)).
10475*y
Let q(l) = -110*l. Let m(v) = -18*v. What is q(m(w))?
1980*w
Let o(v) = 14*v. Let y(u) = 6*u**2. What is y(o(m))?
1176*m**2
Let p(d) = -d. Let q(x) = -16 + 9 + 7 - 2*x. Let f(l) = 3*l. Let t = 15 - 11. Let i(h) = t*f(h) + 5*q(h). Calculate i(p(v)).
-2*v
Let j(f) be the first derivative of 0*f - 2 + 0*f**2 + 2/3*f**3. Let w(i) = -3*i. Give j(w(o)).
18*o**2
Let p(j) = -4*j. Let o(w) = -2*w - 495. Give p(o(z)).
8*z + 1980
Let v(u) = 2*u**2. Let t(y) = -3*y**2 - 5*y. Determine v(t(i)).
18*i**4 + 60*i**3 + 50*i**2
Let o(v) be the first derivative of 3/2*v**2 + 0*v - 1. Let p(x) be the second derivative of x**3/6 + 3*x. What is o(p(d))?
3*d
Let m(w) be the third derivative of w**4/12 + w**2. Let v be -1*1*(-28 - -6). Let u(c) = v*c - 12*c - 13*c. Determine u(m(i)).
-6*i
Let a(x) = 2*x. Let l be 18/5 - (-2)/5. Let g(j) be the second derivative of 0*j**3 + 0 + 1/6*j**l - j + 0*j**2. Calculate a(g(k)).
4*k**2
Let i = -5 + 7. Let m(q) = 5*q**2 - 2 - 4*q**2 + i. Let l(v) be the third derivative of v**5/60 + v**2. Calculate m(l(k)).
k**4
Let n(v) = -306*v. Let r(t) = -17*t**2. Determine r(n(j)).
-1591812*j**2
Let t(d) = 5*d**2. Let m(z) = 181*z**2. What is t(m(s))?
163805*s**4
Let y(r) = -3*r. Let l(w) = 7*w**2 - 4*w. Give l(y(m)).
63*m**2 + 12*m
Let r(f) = 0*f + 0*f + 2*f**2. Let d(i) be the second derivative of -3*i + 0 + 0*i**3 + 1/12*i**4 + 0*i**2. What is r(d(p))?
2*p**4
Let k(y) = 3*y + 2*y + 0*y. Let c(h) be the second derivative of -h**4/12 + 3*h. Determine c(k(j)).
-25*j**2
Let i = 15 - 9. Let h(s) = -2*s + 2. Let v(r) = r**2 + 3*r - 3. Let b(w) = i*h(w) + 4*v(w). Let y(a) = -a**2. Give y(b(x)).
-16*x**4
Let z(p) = -2*p**2. Let h(f) be the third derivative of 0*f - 4*f**2 + 0*f**3 - 1/24*f**4 + 0. What is z(h(j))?
-2*j**2
Let l(o) be the third derivative of -o**6/180 - o**3/6 + o**2. Let f(i) be the first derivative of l(i). Let v(x) = 2*x**2. Give v(f(y)).
8*y**4
Let y(z) = -19*z - 6. Let b(t) = -t. Determine b(y(s)).
19*s + 6
Let x(m) = -3*m. Let l(c) = 2*c**3 + c**2 - 2*c + 1. Let v be l(1). Let g(b) = 0 + 0 - 2*b**2 - 3*b**v. What is x(g(o))?
15*o**2
Suppose -4*j + n + 7 + 5 = 0, 4*n = 2*j - 20. Suppose j + 2 = 2*y. Let w(r) = 3 - 3 - y*r**2. Let f(g) = -2*g. Calculate w(f(q)).
-8*q**2
Let l(o) = -5*o**2. Let t(h) = -8*h - 9. Let u(k) = -k - 1. Let n(m) = -4*t(m) + 36*u(m). Determine l(n(c)).
-80*c**2
Let n(v) = -3*v. Let l(y) = y - 28. Give l(n(k)).
-3*k - 28
Let i(o) = 3*o**2. Let q(j) = -36*j - 6773 + 6773. Give q(i(x)).
-108*x**2
Let b(m) = -17*m**2. Let w(f) = 331*f**2. Determine w(b(o)).
95659*o**4
Let t(u) = -u. Let d(z) = -z**2 + 3*z. Let r(y) = d(y) + 3*t(y). Let c(x) = 2*x**2. What is r(c(i))?
-4*i**4
Let g(d) = -d**2. Let k(n) be the second derivative of 0*n**2 + 1/6*n**4 + 2*n + 0*n**3 + 0. Determine g(k(x)).
-4*x**4
Let z(y) = 1555*y**2. Let j(k) = 2*k**2. Give j(z(m)).
4836050*m**4
Let g(m) be the first derivative of 4*m**3/3 + 48. Let s(n) = 6*n - 5. Let a(j) = j - 1. Let b(l) = 10*a(l) - 2*s(l). What is b(g(o))?
-8*o**2
Suppose -4 = -5*n + 6. Let u(d) = n - 14*d**2 + 10*d**2 - 2. Let c(m) = 3*m. Determine u(c(o)).
-36*o**2
Let n(h) = h - 297. Let r(v) = 11*v**2. What is n(r(y))?
11*y**2 - 297
Let g(k) = 956*k. Let m(v) = v. What is m(g(c))?
956*c
Let s(n) = -5*n**2 - 6*n**2 + 4*n**2. Let w(c) = -3*c**2. Let v(d) = -4*s(d) + 10*w(d). Let m(b) = -b. Give v(m(t)).
-2*t**2
Let z(n) = -4*n - n + 3*n. Let k(b) = -3*b + 2*b + 2*b. What is k(z(f))?
-2*f
Let i(p) = 2257*p**2. Let h(j) = -j. What is i(h(u))?
2257*u**2
Let m(q) = 1077*q - 4*q**2 + 2*q**2 - 1077*q. Let x(j) be the third derivative of -5*j**4/12 - 3*j**2. What is m(x(y))?
-200*y**2
Let a(s) = 3*s. Let n(i) = 2*i. Let m(c) = -5*a(c) + 8*n(c). Let k(t) = 54*t. Calculate k(m(q)).
54*q
Let v(k) = -4*k. Let j(x) = x**2 - 3*x - 3. Let n(s) = -3*s**2 + 8*s + 8. Let a(o) = -8*j(o) - 3*n(o). Determine v(a(r)).
-4*r**2
Let d(q) = q**2. Let n(o) = 0 - 2 + 4*o + 2. What is n(d(b))?
4*b**2
Let q(f) = -1166*f**2. Let y(n) = 4*n**2. Give q(y(k)).
-18656*k**4
Let x(n) = 2*n**2. Let i(o) be the second derivative of 35*o**4/6 + 12*o. Calculate i(x(k)).
280*k**4
Let h(g) = 2*g. Suppose 5*d - 28 = -8. Suppose u = 2*t + d, u + 2*t + 3 = -3*t. Let c(q) = 0*q**2 - 3*q**2 - q**2 + q**u. What is h(c(i))?
-6*i**2
Suppose -v + 10 = v. Let p(s) = s - v*s + 2*s. Let h(a) be the third derivative of a**4/12 + 2*a**2. Determine h(p(x)).
-4*x
Let a(d) = 1113*d. Let c(z) = -6*z. What is c(a(b))?
-6678*b
Let w(l) = -l**2 - 9*l - 14. Let u be w(-7). Let x(f) = f + u*f + f - f. Let c(g) = -g**2. Calculate c(x(h)).
-h**2
Let f(y) = -60*y**2 + 12*y + 24. Let b(j) = 24*j**2 - 5*j - 10. Let t(i) = 12*b(i) + 5*f(i). Let v(m) = 5*m. What is t(v(o))?
-300*o**2
Let k(s) = -s. Let f(y) = -3*y + 96. Give k(f(q)).
3*q - 96
Suppose r - 6 = -5*k - 3*r, -2*r - 12 = -5*k. Let b(y) = y - y + k*y. Let o(q) = -5*q. Give b(o(l)).
-10*l
Let y(v) = 221*v. Let x(k) = -2*k**2. Determine y(x(f)).
-442*f**2
Let q(k) = -k**2 - 3*k. Let b(d) = -3*d**2 - 8*d. Let n(y) = -3*b(y) + 8*q(y). Let r = -5 + 9. Let v(u) = u**2 + 5*u - u - r*u. Calculate v(n(g)).
g**4
Let u(c) be the first derivative of 5*c**3/3 - 2. Let p(v) = -2*v. Determine u(p(l)).
20*l**2
Let w(s) = -4*s**2. Let l = -2 - -4. Let k(y) = l*y**2 - 3*y**2 - y**2. Give k(w(t)).
-32*t**4
Let m(r) = -304*r + 8*r**2 + 304*r. Let a(g) = g. Give a(m(h)).
8*h**2
Let o(y) = -2*y**2. Let r(z) be the second derivative of -5*z**4/12 + 6*z. Calculate r(o(m)).
-20*m**4
Let m(v) be the first derivative of 0*v - 1 - v**2 + 7/3*v**3. Let n(t) = 36*t**2 - 11*t. Let k(g) = 11*m(g) - 2*n(g). Let o(w) = -2*w. Give k(o(b)).
20*b**2
Let q(d) = 2*d**2. Let r(a) = 3*a. Let j(k) = -11*k + 3. Let b(g) = -g + 1. Let c(l) = -3*b(l) + j(l). Let v(f) = 5*c(f) + 14*r(f). Determine v(q(m)).
4*m**2
Let z(g) = -2*g**2 - 17*g. Let j(m) = 73*m**2. Determine z(j(s)).
-10658*s**4 - 1241*s**2
Let j(q) be the third derivative of q**4/4 - 2*q**2. Let u(v) = 7*v. Let t(p) = 3*p. Let d(z) = 9*t(z) - 4*u(z). Determine j(d(l)).
-6*l
Let h(b) = 127*b + 1. Let t(s) = 12*s. Give t(h(a)).
1524*a + 12
Suppose 0 = 3*n + n - 40. Let l(k) = n*k**2 - 8*k**2 + 3*k**2. Let h(g) = -g. What is h(l(c))?
-5*c**2
Let s(j) be the second derivative of 1/6*j**4 + 0 + 0*j**3 + 0*j**2 - 2*j. Let y(f) = -3*f - 2*f + 3*f. Calculate y(s(c)).
-4*c**2
Let m(p) = 5*p - 6. Let b(r) be the second derivative of -7*r**3/3 + 17*r**2/2 - 6*r. Let h(j) = 6*b(j) + 17*m(j). Let z(y) = -3*y. Calculate z(h(f)).
-3*f
Let y(s) = -s. Let x(u) = -4*u**2 + 16*u**2 - u**2. Determine y(x(j)).
-11*j**2
Let z(r) = -2*r. Let b(j) = -9*j**2 - 166*j. Determine z(b(i)).
18*i**2 + 332*i
Let o(m) = 4*m**2. Let j(l) be the first derivative of 2*l**3/3 - 12. Calculate j(o(q)).
32*q**4
Let r(p) = -3266*p. Let m(w) = 2*w**2. Calculate m(r(f)).
21333512*f**2
Let g(z) = -2*z**2. Let b(n) = -2*n**2 - 7. Let p(i) be the first derivative of i**3/3 + 2*i - 2. Let y = 1 + -3. Let j(x) = y*b(x) - 7*p(x). Determine g(j(u)).
-18*u**4
Let v(c) = 13*c. Let y(k) = 2*k. What is v(y(p))?
26*p
Let s(m) be the first derivative of -3*m**2 - 1. Let l(z) = z**2 + 2*z - 2*z + 0*z**2. What is s(l(o))?
-6*o**2
Let q(s) = -23*s + 3. Let z(k) = 3*k. Determine z(q(a)).
-69*a + 9
Let l(f) = -1683*f**2 + 2. Let x(d) = 2*d. Give l(x(p)).
-6732*p**2 + 2
Let p(j) be the second derivative of -j**6/180 - j**3/6 - 2*j. Let i(z) be the second derivative of p(z). Let v(s) = s**2. Give v(i(d)).
4*d**4
Let c(k) = -2*k. Let b(r) = 6*r - 4. Let f(z) = -11*z + 7. Suppose d + o + 2*o = 1, 0 = -2*o - 4. Let a(j) = d*b(j) + 4*f(j). Determine a(c(u)).
4*u
Let n(q) be the third derivative of -q**6/720 + q**4/24 - q**2. Let w(a) be the second derivative of n(a). Let k(r) = r. What is k(w(f))?
-f
Let h(p) = -p**2. Let a(v) be the first derivative of -3*v**2/2 - 1. Give a(h(n)).
3*n**2
Let k(y) = -10*y**2. Let f(u) = u**2 + 3*u. Let r be f(-4). Let v(b) = -18*b + r*b + 7*b + 6*b. Give k(v(h)).
-10*h**2
Let v(y) = 7*y - 2. Let q(h) = 217*h - 63. Let c(r) = 2*q(r) - 63*v(r). Let m(p) = -p**2. Determine m(c(x)).
-49*x**2
Let d(x) = 2*x**2. Let p(l) be t | {
"pile_set_name": "DM Mathematics"
} |
n 4*n**3 + 500*n**2 - 2052*n + 1548 = 0?
-129, 1, 3
Factor r**3 - 367*r**2 + 731*r - 365.
(r - 365)*(r - 1)**2
What is h in -4*h**3/7 - 11*h**2/7 + 43*h/7 - 10/7 = 0?
-5, 1/4, 2
Determine k so that -k**5/4 - k**4 - k**3/2 + k**2 + 3*k/4 = 0.
-3, -1, 0, 1
Find w, given that -4*w**4 + 76*w**3 + 4*w**2 - 76*w = 0.
-1, 0, 1, 19
Solve 2*c**2/3 - 82*c/3 + 476/3 = 0 for c.
7, 34
Factor 408608*j**2/21 - 5424*j/7 + 54/7.
2*(452*j - 9)**2/21
Factor -g**2/3 - 58*g/3 - 112/3.
-(g + 2)*(g + 56)/3
Find f such that -f**4 + 7*f**3 + f**2 - 7*f = 0.
-1, 0, 1, 7
Factor -3*b**2 - 99*b + 4104.
-3*(b - 24)*(b + 57)
Factor 5*y**4 - 165*y**3 + 1900*y**2 - 8880*y + 14400.
5*(y - 12)**2*(y - 5)*(y - 4)
Factor -c**2/8 + 33*c/2 + 133/8.
-(c - 133)*(c + 1)/8
Factor -2*i**2/3 + 532*i/3 - 35378/3.
-2*(i - 133)**2/3
Determine u so that 3*u**5/4 + 249*u**4/4 - 789*u**3/4 - 1281*u**2/4 + 393*u/2 + 258 = 0.
-86, -1, 1, 4
Solve 210*p**5 - 2185*p**4/2 + 1730*p**3 - 2255*p**2/2 + 310*p - 30 = 0.
1/4, 2/7, 2/3, 1, 3
Factor -2*z**2/3 + 96*z - 3456.
-2*(z - 72)**2/3
Factor z**5/3 - 9*z**4 + 46*z**3 + 586*z**2/3 + 215*z + 75.
(z - 15)**2*(z + 1)**3/3
Solve 25*q**5 + 190*q**4 + 320*q**3 - 160*q**2 = 0.
-4, 0, 2/5
Factor 2*l**4/3 - 14*l**3/3 - 56*l**2/3 - 40*l/3.
2*l*(l - 10)*(l + 1)*(l + 2)/3
Determine c so that 5184*c**3 + 9072*c**2 + 5292*c + 1029 = 0.
-7/12
Solve 3*k**3 + 33*k**2 + 57*k + 27 = 0 for k.
-9, -1
Factor -32*g**4/5 + 48*g**3/5 - 18*g**2/5.
-2*g**2*(4*g - 3)**2/5
Factor -l**5/2 - 2*l**4 - 2*l**3 + l**2 + 5*l/2 + 1.
-(l - 1)*(l + 1)**3*(l + 2)/2
Let -2*t**2/3 + 50*t - 148/3 = 0. Calculate t.
1, 74
Factor p**5 - 19*p**4 + 103*p**3 - 57*p**2 - 504*p - 324.
(p - 9)*(p - 6)**2*(p + 1)**2
Factor -2*z**4/11 + 8*z**3/11 + 6*z**2/11 - 36*z/11.
-2*z*(z - 3)**2*(z + 2)/11
Factor w**3/4 + 19*w**2/4 - w/4 - 19/4.
(w - 1)*(w + 1)*(w + 19)/4
Find o, given that o**3/4 + 103*o**2/4 + 2703*o/4 + 2601/4 = 0.
-51, -1
Factor 15*z**3 - 470*z**2 + 145*z + 310.
5*(z - 31)*(z - 1)*(3*z + 2)
Solve -4*b**2 + 20*b + 1064 = 0.
-14, 19
What is j in 52*j**5 - 21*j**4 - 50*j**3 + 21*j**2 - 2*j = 0?
-1, 0, 2/13, 1/4, 1
Let -4*c**5/7 + 24*c**4/7 - 24*c**3/7 - 64*c**2/7 + 60*c/7 + 72/7 = 0. Calculate c.
-1, 2, 3
Factor 2*u**5 - 12*u**4 + 22*u**3 - 12*u**2.
2*u**2*(u - 3)*(u - 2)*(u - 1)
Solve 4*b**3 - 104*b**2 + 100*b = 0 for b.
0, 1, 25
Factor 2*t**5 + 52*t**4 + 386*t**3 + 624*t**2 + 288*t.
2*t*(t + 1)**2*(t + 12)**2
Factor -2*l**2 - 7876*l - 7753922.
-2*(l + 1969)**2
What is h in h**4 - 12*h**3 + 39*h**2 - 8*h - 60 = 0?
-1, 2, 5, 6
Factor -21*u**4/2 + 18*u**3 - 9*u**2/2 - 3*u.
-3*u*(u - 1)**2*(7*u + 2)/2
Suppose 5*a**4/2 + 85*a**3/2 + 75*a**2/2 - 85*a/2 - 40 = 0. Calculate a.
-16, -1, 1
Suppose 2*s**4/5 - 6*s**3/5 - 18*s**2/5 - 2*s = 0. What is s?
-1, 0, 5
Factor -4*z**3 + 28*z**2 - 40*z.
-4*z*(z - 5)*(z - 2)
Find u, given that -u**4 + 6*u**3 - 11*u**2 + 6*u = 0.
0, 1, 2, 3
Determine o, given that 2*o**5/15 - 28*o**4/15 + 24*o**3/5 - 68*o**2/15 + 22*o/15 = 0.
0, 1, 11
Factor -l**3 + 3*l**2 + 4*l.
-l*(l - 4)*(l + 1)
Find l, given that -4*l**3 - 76*l**2 + 280*l + 352 = 0.
-22, -1, 4
Factor 3*w**3/2 + 127*w**2 - 877*w/2 + 132.
(w - 3)*(w + 88)*(3*w - 1)/2
Factor 25*a**2 + 11490*a - 4600.
5*(a + 460)*(5*a - 2)
Factor -4*p**3/3 + 1700*p**2 - 722500*p + 307062500/3.
-4*(p - 425)**3/3
Determine z so that -2*z**3/13 + 200*z**2/13 + 406*z/13 + 204/13 = 0.
-1, 102
Factor -5*p**5 - 40*p**4 - 110*p**3 - 140*p**2 - 85*p - 20.
-5*(p + 1)**4*(p + 4)
Factor -4*c**2 - 712*c - 1408.
-4*(c + 2)*(c + 176)
Factor -i**5 - 13*i**4 - 11*i**3 + 13*i**2 + 12*i.
-i*(i - 1)*(i + 1)**2*(i + 12)
Determine m, given that 6*m**3/5 + 118*m**2/5 - 644*m/5 - 96 = 0.
-24, -2/3, 5
Let 3*h**2 - 2484*h = 0. What is h?
0, 828
Factor -m**3/6 + m**2/2 + 11*m/3 - 4.
-(m - 6)*(m - 1)*(m + 4)/6
Find k such that 2*k**3/15 - 656*k**2/5 + 215168*k/5 - 70575104/15 = 0.
328
What is n in 3*n**3 - 885*n**2 + 3504*n - 3492 = 0?
2, 291
Solve 12*a**2 + 207*a + 51 = 0 for a.
-17, -1/4
Let -12*b**5/17 + 134*b**4/17 - 486*b**3/17 + 574*b**2/17 + 66*b/17 - 180/17 = 0. Calculate b.
-1/2, 2/3, 3, 5
Factor 1058*r**3/3 + 6164*r**2/3 - 1096*r/3 + 16.
2*(r + 6)*(23*r - 2)**2/3
What is r in 2*r**2 - 116*r - 118 = 0?
-1, 59
Factor -2*k**2 - 3174*k - 3172.
-2*(k + 1)*(k + 1586)
Find w, given that -w**5 + 5*w**3 - 4*w = 0.
-2, -1, 0, 1, 2
Suppose 5*x**2 - 6635*x + 6630 = 0. Calculate x.
1, 1326
Solve 3*p**5/7 + 6*p**4/7 - 24*p**3/7 - 48*p**2/7 + 48*p/7 + 96/7 = 0 for p.
-2, 2
Suppose 5*c**2 + 115*c - 2100 = 0. What is c?
-35, 12
Suppose -h**2/3 - 7246*h/3 - 13126129/3 = 0. Calculate h.
-3623
Factor -3*s**4 - 141*s**3 - 405*s**2 - 399*s - 132.
-3*(s + 1)**3*(s + 44)
Factor -z**3/4 - 463*z**2/4.
-z**2*(z + 463)/4
Let -3*h**3/4 - 1055*h**2/4 + 1411*h/4 - 353/4 = 0. Calculate h.
-353, 1/3, 1
Find c such that 4*c**2 + 2984*c - 8988 = 0.
-749, 3
Suppose 5*i**3/2 - 395*i**2/2 + 4180*i - 10830 = 0. What is i?
3, 38
Determine c, given that 21*c**5 - 90*c**4 - 186*c**3 + 648*c**2 - 483*c + 90 = 0.
-3, 2/7, 1, 5
Factor -3*k**4/7 + 540*k**3/7 - 537*k**2/7.
-3*k**2*(k - 179)*(k - 1)/7
Find i such that -5*i**5/2 - 123*i**4/2 - 197*i**3 - 168*i**2 = 0.
-21, -2, -8/5, 0
Let r**3/6 + 20*r**2/3 + 200*r/3 = 0. Calculate r.
-20, 0
Determine h, given that 2*h**5/7 - 120*h**4/7 + 2362*h**3/7 - 17644*h**2/7 + 5448*h - 3248 = 0.
1, 2, 14, 29
Suppose -3*n**4/5 + 57*n**3/5 + 714*n**2/5 + 1176*n/5 = 0. Calculate n.
-7, -2, 0, 28
Suppose l**4/5 + 34*l**3 + 501*l**2/5 - 4*l/5 - 668/5 = 0. Calculate l.
-167, -2, 1
Let 2*k**4/3 + 10*k**3/3 + 4*k**2 = 0. Calculate k.
-3, -2, 0
Factor -5184200*x**4 - 367080*x**3 + 6382*x**2 + 456*x - 8.
-2*(35*x + 2)**2*(46*x - 1)**2
Determine z, given that -z**4 - 28*z**3 + 3*z**2 + 86*z + 56 = 0.
-28, -1, 2
Let -5*v**2 + 466*v - 93 = 0. What is v?
1/5, 93
Solve -3*y**3/2 - 21491*y**2/2 - 19242504*y + 6415362 = 0 for y.
-3582, 1/3
Factor -3*y**3/10 - 2*y**2 - 31*y/10 - 7/5.
-(y + 1)**2*(3*y + 14)/10
Let o**2/5 + 3*o/5 - 2 = 0. What is o?
-5, 2
Factor i**5/3 - i**4/3 - i**3 + 5*i**2/3 - 2*i/3.
i*(i - 1)**3*(i + 2)/3
Factor 147*d**4 - 525*d**3 + 264*d**2 - 36*d.
3*d*(d - 3)*(7*d - 2)**2
What is d in -2*d**4/5 - 502*d**3/5 + 930*d**2 - 1570*d - 2600 = 0?
-260, -1, 5
Factor -147*p**4/5 - 8652*p**3/5 - 1467*p**2 - 1566*p/5.
-3*p*(p + 58)*(7*p + 3)**2/5
What is p in -50*p**4/9 - 4640*p**3/9 - 36496*p**2/3 - 85376*p/9 - 16928/9 = 0?
-46, -2/5
Determine k, given that -2*k**2/19 - 110*k/19 + 12 = 0.
-57, 2
Factor 5*l**5 - 15*l**3 - 10*l**2.
5*l**2*(l - 2)*(l + 1)**2
Factor -2*x**3/7 + 38*x/7 - 60/7.
-2*(x - 3)*(x - 2)*(x + 5)/7
Factor -4*d**3 + 3772*d**2 - 887360*d - 891136.
-4*(d - 472)**2*(d + 1)
Factor -2*i**3/15 - 134*i**2/15.
-2*i**2*(i + 67)/15
Suppose 18*m**5/11 - 6*m**4/11 - 16*m**3/11 + 8*m**2/11 = 0. What is m?
-1, 0, 2/3
Solve 5*b**4 + 130*b**3 - 285*b**2 - 130*b + 280 = 0 for b.
-28, -1, 1, 2
Find f, given that -f**2/10 - 23*f/10 - 21/5 = 0.
-21, -2
Factor 2*c**3/7 - 50*c**2/7 + 296*c/7 - 408/7.
2*(c - 17)*(c - 6)*(c - 2)/7
Factor -4*s**3 + 24*s**2 - 128.
-4*(s - 4)**2*(s + 2)
Find x such that -5*x**5/6 + 155*x**4/2 + 2575*x**3/2 + 39875*x**2/6 + 11250*x = 0.
-5, 0, 108
Let 4*m**4/9 - 64*m**3/3 + 1888*m**2/9 + 3328*m/3 + 10816/9 = 0. What is m?
-2, 26
Factor -5*g**2 + 210*g - 585.
-5*(g - 39)*(g - 3)
Factor 5*j**2 - 340*j + 335.
5*(j - 67)*(j - 1)
Suppose 2*v**4/23 - 1382*v**3/23 + 236658*v**2/23 + 719678*v/23 + 481636/23 = 0. What is v?
-2, -1, 347
Suppose -3*y**5/2 - 35*y**4 + 62*y**3 - 13*y**2 - 25*y/2 = 0. What is y?
-25, -1/3, 0, 1
Factor -n**4/2 + 5*n**3 + 26*n**2 + 28*n.
-n*(n - 14)*(n + 2)**2/2
Suppose -s**3/2 + s**2 - s/2 = 0. What is s?
0, 1
Factor -5*v**2 - 3215*v.
-5*v*(v + 643)
Let -4*f**4 - 112*f**3 + 148*f**2 + 880*f - 1392 = 0. What is f?
-29, -3, 2
Factor -4*i**5 - 68*i**4 - 384*i**3 - 720*i**2.
-4*i**2*(i + 5)*(i + 6)**2
Suppose 2*d**5/5 + 56*d**4/5 + 396*d**3/5 + 216*d**2 + 1026*d/5 = 0. Calculate d.
-19, -3, 0
Factor 5*p**4 - 20*p**3 - 25*p**2.
5*p**2*(p - 5)*(p + 1)
Factor -2*j**2 - 7782*j.
-2*j*(j + 3891)
Factor -i**4/5 - 2*i**3 + 23*i**2/5 - 12*i/5.
-i*(i - 1)**2*(i + 12)/5
Solve f**2/4 - 6*f = 0.
0, 24
Solve -5*f**5 + 20*f**4 - 15*f**3 = 0.
0, 1, 3
Let 4*m**2 + 8800*m = 0. Calculate m.
-2200, 0
Find v, given that 6*v**5 + 86*v**4 - 624*v* | {
"pile_set_name": "DM Mathematics"
} |
1 + 0)?
3, 13
Let m(u) = -794*u + 10920. List the prime factors of m(-26).
2, 13, 607
Suppose -3*l + j + 15 = 0, -4*l - l + j + 23 = 0. Let k be (l - (-1 + -35))/(-1 - -2). Suppose -x + k = 1. What are the prime factors of x?
3, 13
Let d = -4932 + 7873. What are the prime factors of d?
17, 173
Let t be (-1 - 3) + 264 + 1 + 0. Suppose -1674 = -9*y - t. List the prime factors of (-2)/(y/(-39) - -4).
2, 3, 13
What are the prime factors of (-9601)/((-2 - 2) + 704/192)?
3, 9601
Let x be (-60)/15 + 1*9. Suppose -x*c + 67 = -38. Suppose -39 = -3*w + c. What are the prime factors of w?
2, 5
List the prime factors of -11 + -10 + 101335/13.
2, 13, 23
Suppose -3*z - 6 = -2*k - 14, -3*z = -4*k - 10. Let q(c) = 461*c**2 + 7*c - 14. What are the prime factors of q(z)?
2, 461
Suppose -u + 5*q + 26184 = 0, -4*u + 5*q + 63274 = -41327. List the prime factors of u.
3, 8713
Let h(w) = w**2 - 10*w + 19. Let z be h(9). What are the prime factors of z*1505/30 + 6/(-9)?
3, 167
What are the prime factors of 7670*4*-6*(-4)/120?
2, 13, 59
Let t = 970 + 232. Suppose -35*f - t = -37*f. List the prime factors of f.
601
Suppose -3*k - 243 = -258. Suppose 4*w = -k*j + 1074, -2*j - j = 3*w - 804. List the prime factors of w.
2, 7, 19
Suppose -2*i = -i - 2. Suppose 141 = i*b - 419. Let d = b + -189. List the prime factors of d.
7, 13
Let z = -844 + 11621. List the prime factors of z.
13, 829
Let j(m) = 16*m**2 + 28*m + 1434. What are the prime factors of j(-26)?
2, 7, 823
Let b(w) = 12*w**2 + 5*w - w - 8*w + 5*w + 9. List the prime factors of b(-6).
3, 5, 29
What are the prime factors of (-4 - -88226)*(-12 + (-25)/(-2))?
44111
Let x(i) be the third derivative of -65*i**4/24 - 7*i**3 + 46*i**2. Let k be x(-4). Suppose -k = -s + 4*h, 8*h = 3*h - 15. List the prime factors of s.
2, 103
Suppose b = -8 + 13. Suppose 4*t - b*l - 155 = -t, -4 = -4*l. Let r = t - 2. List the prime factors of r.
2, 3, 5
Suppose -4*s - 6182 + 498 = 0. Let r = -895 - s. List the prime factors of r.
2, 263
Let r(l) = 4*l**3 + 6*l**2 - l - 9. Let t(h) = -3*h**3 - 4*h**2 + h + 6. Let a(g) = 5*r(g) + 8*t(g). List the prime factors of a(-3).
2, 3, 7
Let m = 1618 - 3198. Let t = -1039 - m. List the prime factors of t.
541
Let t(q) = 22*q + 54*q + 100*q**2 + 11 + 31 - 100*q. List the prime factors of t(2).
2, 197
Let q = -89 + 92. Suppose -60 = -y + q*j, 4*y - 3*j - 179 = 34. List the prime factors of y.
3, 17
Suppose 8*d - 66 = 6. Suppose -12*v + d*v = -2112. List the prime factors of v.
2, 11
Let d(l) = 6894*l + 272. What are the prime factors of d(2)?
2, 5, 19, 37
List the prime factors of 1097 + 4 - (-2 - -17 - 7).
1093
List the prime factors of (23/(-7) - 0) + 3 + (-17991202)/(-238).
7, 10799
Let h(x) = -x**3 - 27*x**2 - 25*x + 18. Let l be h(-26). List the prime factors of 42/l*(1 + 455)/(-6).
3, 7, 19
Let d(j) = 1249*j - 2. Let w be d(-1). Let l = w + 1764. Suppose -11*y + l = -411. List the prime factors of y.
2, 3, 7
Let v(p) = -3*p**3 + 7*p**2 + 9*p + 133. Let w = 789 + -796. List the prime factors of v(w).
2, 7, 103
Let n(c) = 1779*c**2 + 847*c - 3. What are the prime factors of n(-4)?
25073
Suppose 8*p = 10*n - 5*n - 5559, 3*p - 5471 = -5*n. List the prime factors of n.
7, 157
Let g = -51621 + 102873. List the prime factors of g.
2, 3, 4271
Let k(w) = -2*w**2 + 5*w**2 + 2*w - 3*w - 4. Let i = -760 - -756. List the prime factors of k(i).
2, 3
Let n(i) = 22822*i - 1307. List the prime factors of n(3).
239, 281
Let b be (-480010)/92*(-4)/10. Suppose -s + x + 517 - 105 = 0, 4*x - b = -5*s. What are the prime factors of s?
5, 83
Suppose 57*l = 53*l - 4*n + 28880, 2*n - 12 = 0. What are the prime factors of l?
2, 3607
Let x be (6/7)/((-12)/(-56)). Suppose -2*i + 5*d + 271 = -792, x*d = -5*i + 2674. List the prime factors of i.
2, 3, 89
Suppose -107723 = 100*a - 111*a. List the prime factors of a.
7, 1399
Let p = 151 - -1508. What are the prime factors of p?
3, 7, 79
Let d = 736 - 192. Suppose 0 = 6*i - d - 308. List the prime factors of i.
2, 71
What are the prime factors of (44 + -398)*32/(-6)?
2, 59
Let y be 8/44 - (-196)/11. Let f(r) = 2*r - 26. Let w be f(y). Suppose 234 = -7*l + w*l. What are the prime factors of l?
2, 3, 13
Let p = 141 - 137. Suppose -4*k + 3*k - 3*z = -316, 0 = -p*k + 2*z + 1236. What are the prime factors of k?
2, 5, 31
Let p = -737 - -551. Suppose 3*l - 6*l + 1479 = 0. Let n = p + l. List the prime factors of n.
307
Suppose o + 2*h = 5*h + 779, 3156 = 4*o - 4*h. Let g = o + -504. List the prime factors of g.
2, 5, 29
Suppose t = 7, -4*y - t + 60982 = t. List the prime factors of y.
2, 7621
Suppose 23319 + 43043 = 19*z - 109958. List the prime factors of z.
2, 5, 29
Suppose 0 = 14*b + 24084 - 63256. Let h = b + -1377. List the prime factors of h.
7, 29
Let z = -99 + 104. Let a(l) = 3*l**2 - 7*l - 19. Let h be a(z). Let v = 140 + h. List the prime factors of v.
7, 23
Let g(q) = -q**3 + 11*q**2 + 3*q + 35. Suppose 3*o - 22 = -2*r, -4*r + 52 - 8 = 2*o. Let i be g(r). Let f = -55 + i. List the prime factors of f.
13
Suppose 135*d - 136*d = 328. List the prime factors of 2706/d*104/(-3).
2, 11, 13
List the prime factors of (-36 + -18747)*-4*3*4/72.
2, 3, 2087
Suppose -254*p + 252*p + 520 = 0. Let y be 4/10 + (-2)/5. Suppose -p = -5*d - n, -d - 2*d - 4*n + 156 = y. What are the prime factors of d?
2, 13
Let v be 46*-3*2*20/8. Let u = -356 - v. What are the prime factors of u?
2, 167
List the prime factors of (10 - 9)/(3*1/17511).
13, 449
Let t = 935 + 835. Suppose 11*w - 8*w - t = 0. List the prime factors of w.
2, 5, 59
Let v = -35760 - -55908. List the prime factors of v.
2, 3, 23, 73
Suppose -3*l - 63 = -2*f - 4*l, -f - 3*l = -39. Let s be f*(0 + (4 - -1) + -4). List the prime factors of (56/8)/(1/s).
2, 3, 5, 7
Suppose 64 - 23 = s. Let o = 44 - s. Suppose -3*h + 577 = o*p - p, 0 = 3*p + 5*h - 866. What are the prime factors of p?
7, 41
Suppose 10 = 2*d + u - 2*u, -3*d + 2*u = -15. List the prime factors of 65*4/4 + 3 - d.
3, 7
Suppose 7*g + 7 + 105 = 0. What are the prime factors of (8/g)/(3/(-3036)*2)?
11, 23
Suppose -3*r = -4*w + 50637, -2495*w - 4*r - 50632 = -2499*w. List the prime factors of w.
3, 7, 67
Let k = 52 - 50. Let y(q) = -23*q + 7. Let x be y(k). What are the prime factors of (-4 + x/(-9))*30?
2, 5
Let t = -17690 + 19745. What are the prime factors of t?
3, 5, 137
Let t(o) = -o**2 + 16*o - 14. Let r be t(15). Let z be ((-111)/15 - r)/((-2)/165). Suppose -z - 359 = -4*l. What are the prime factors of l?
263
Suppose -35*b - 10*b + 416766 = -3*b. What are the prime factors of b?
9923
Suppose 0 = 511*m - 480*m - 420174. List the prime factors of m.
2, 3, 251
Suppose 0 = 5*r + 5*w + 30, -4*w - w = 4*r + 28. What are the prime factors of -3 - (3921/(-6) - r/(-4))?
3, 7, 31
Suppose 5*g - 7*g = 2*y - 2, -y - 2*g = -2. Suppose y = k + 10*k - 5148. What are the prime factors of k?
2, 3, 13
Let t(z) = 22*z + 34*z - 781 + 795 - 10*z. What are the prime factors of t(9)?
2, 107
Let y(g) = -5*g**2 - g + 1. Let n(m) = -8*m**2 - 15*m + 4. Let b(x) = n(x) - 5*y(x). What are the prime factors of b(5)?
2, 11, 17
Suppose -4*h - 5*l = -178693, 5*l + 178763 = 65*h - 61*h. What are the prime factors of h?
2, 3, 11, 677
Let b(d) = 2*d**3 - 2*d**2 + 2. Let i be b(2). Let v be (i/(-20) - 1/2) + 102. Let m = v + -76. What are the prime factors of m?
5
Suppose -500 = -11*p - 9*p. Suppose -24*f + p*f = 337. What are the prime factors of f?
337
Let a = 5262 + -1952. What are the prime factors of a?
2, 5, 331
Suppose 14024*y - 14002*y - 359458 = 0. List the prime factors of y.
16339
Suppose d - 6*d = 30. Let m(p) = 2*p - 14. Let q be m(6). List the prime factors of (261/d)/(q/4).
3, 29
Let h = -133 - -133. Suppose h = 33*l - 28*l - 2260. List the prime factors of l.
2, 113
Suppose m + 2*a = 3104, 6*m + 3122 = 7*m - a. List the prime factors of m.
2, 19, 41
Let a(i) = 115*i**2 - 12 + 8*i + 9*i - 45*i**2. What are the prime factors of a(4)?
2, 3, 7
Suppose 6903*g - 6907*g + 17136 = 0. List the prime factors of g.
2, 3, 7, 17
Suppose 20617 = -2*w - 4*z + 176297, -4*w - 2*z = -311414. What are the prime factors of w?
2, 11, 3539
Let f(d) = 6*d**2 + 308*d - 107. What are the prime factors of f(-127)?
13, 19, 233
Let c(w) = -w**3 - 41*w**2 + 30*w + 267. What are the prime factors of c(-45)?
3, 2339
| {
"pile_set_name": "DM Mathematics"
} |
(c) n
c
Let p = -70 - -137/2. Suppose 15 = -5*w, -w = -4*t - 4*w - 5. Let l be t/5 + 9/105. What is the nearest to 0.1 in 3, p, l?
l
Let a = 971 + -966. Suppose 4*q = 15 + 17. Let x be (3/(-4))/((-2)/q). What is the closest to -3 in x, a, -1?
-1
Let h = -4.3 - -3.3. Which is the nearest to 1? (a) 0.2 (b) h (c) 0 (d) -3
a
Let t = -9290 + 65034/7. Let b be (-2)/(2 + -4) - 0. What is the closest to -1 in t, b, -4/5?
-4/5
Let a be (4/(-30))/(4/(-6)). Suppose 0 = 93*s - 442 - 23. What is the nearest to 0 in s, a, 1?
a
Let m be (27/63)/(9/(-6)). Let t = -12 + 8. Let q = -3.6 - t. Which is the closest to -2/9? (a) m (b) -2 (c) q
a
Let v = 0.4 + -1.6. Let g = 2.2 + v. Let t = 1.942 + 0.058. What is the nearest to g in 0.3, 4, t?
0.3
Let v be ((-20)/575)/(3/((-60)/8)). Let m(t) = -t**3 - t + 4. Let y be m(0). Which is the closest to 2/5? (a) -1 (b) v (c) y
b
Let b = 1.225 + -1.725. Let a = 0.1 - -0.3. What is the closest to 0.1 in a, -0.1, b?
-0.1
Let i = -7 - -4. Let g be (-2)/7 + 15/(-70). What is the closest to 1 in g, i, 3?
g
Let j = -76 + 108. Let g = -56 + j. Let h = g + 24. Which is the nearest to 0? (a) h (b) 0.1 (c) -2/9
a
Let y be (-8)/9*15/260. Let j = y - -47/156. Which is the nearest to j? (a) 2/5 (b) -5 (c) -0.2
a
Let l = -28 - -26. Let m = -0.3 + 2.3. Which is the closest to m? (a) -3 (b) 0.1 (c) l
b
Let u = 0.2 + 0.3. Let t = -21.1 - -10.8. Let j = 10 + t. Which is the nearest to 1? (a) 4 (b) j (c) u
c
Let w(x) = x**3 - 4*x**2 - 3*x + 13. Let k be w(4). Suppose 3*b = f - 0 - 2, 5*b - 3*f = -2. What is the closest to k in b, -1/7, 1/9?
1/9
Let z = -80 + 5358/67. Let u = 104/1005 - z. Let j = 236 - 234. What is the closest to -0.1 in u, j, 5?
u
Let z = 5 - 0. Let y = 4.27 + -4.17. Let t = -4.55 + -0.45. Which is the nearest to t? (a) y (b) z (c) -1/8
c
Suppose 7 = k + 8. Let d be k - 0 - (6 - 5). Let x = -2090/9 + 232. Which is the nearest to d? (a) -0.5 (b) x (c) -2
c
Let t = -20143 + 20145. Let d = -2.5 + 2. What is the closest to -3.4 in 5, t, d?
d
Let z = -215 + 219. Which is the closest to -2/5? (a) -3 (b) -4 (c) z
a
Let f = 0.381 - 0.363. What is the closest to 4 in 2/5, f, -1/4?
2/5
Let a = -410 - -410. What is the closest to 0.03 in -2/3, a, 19?
a
Suppose 4*g + 5*p - 37 = 2*p, -3*g + 15 = -2*p. Suppose 2*s - m + g = 18, -4*s - 5*m - 13 = 0. What is the closest to 1/4 in s, -5, 6/11?
6/11
Let n = -191.1 + 191. Which is the nearest to -1? (a) n (b) -2 (c) 0.5 (d) -0.06
a
Let p = 1704 - 1707. Which is the closest to p? (a) 1/5 (b) 3/8 (c) -1
c
Let k be 11/((-132)/(-64)) + -8 + 2. Which is the closest to k? (a) 6 (b) 1 (c) 0.2
c
Let i = 144 - 144. Let a = 0.1 + -0.2. Let m = -3 - -3. What is the closest to i in 3, a, m?
m
Let f be -3 + 120/28 + -1. Let y = 45.6 + -46.1. What is the nearest to f in 0, -24, y?
0
Let z = 8 + -25/3. Let u be (-7*4/(-98))/(18/7). Which is the nearest to 5/3? (a) 3 (b) z (c) u
a
Let v = 11 + -18. Let o be -39*(-4 - v)/(-9). Which is the nearest to 1? (a) o (b) 2 (c) -0.2
b
Let v = 7/11 + -2/55. Let o = 0 - 0. Which is the closest to o? (a) v (b) -3 (c) -0.5
c
Let o = 0.4 + -0.8. Let x = -184 - -1658/9. Let v = -54 + 54.1. Which is the nearest to v? (a) x (b) o (c) -0.2
a
Let x = 766 + -765. What is the nearest to x in 7, -1/6, 0.3, -4?
0.3
Let f be 3/(45/6) + (-42)/(-105). What is the closest to f in -2, -1, 0.1?
0.1
Let l = -69.5 - -68.7. What is the closest to 0 in -3, l, -1/4?
-1/4
Let q be (1/2)/((-18)/60). Let j be ((-3)/7)/(33/22). What is the nearest to 0 in j, 4, q?
j
Let p = -2.55 + 0.05. Let o = p - 0.5. Suppose -388 = 2*h - 392. Which is the closest to 0? (a) o (b) 0.2 (c) h
b
Let x = -10 - -10.1. Let r = -0.8 + 0.3. Let g = r + 0.6. Which is the closest to g? (a) x (b) 0 (c) -3/5
a
Let i = 223 + -2005/9. Let x = -44 - -46. What is the nearest to i in 1/3, x, 1?
1/3
Let x = 46 - 55. Which is the nearest to -0.3? (a) 0.1 (b) x (c) -1
a
Let g be (-5 - -79)*2/4. Suppose -3*c + 6*c - 5*z = g, 0 = 5*c + 4*z. Let r = -103/3 - -34. What is the closest to 0.1 in -0.2, r, c?
-0.2
Suppose -2*u = -3*u. Let m = -1759 + 1761. What is the nearest to 0.1 in -2/9, u, m?
u
Let j = -1437 + 1423. What is the nearest to 0.1 in -0.1, -2, j?
-0.1
Suppose 14 = -3*k + 2. Let r(y) = y**2 - 5*y - 49. Let i be r(10). Let q be k/i - 25/(-6). Which is the nearest to -1/3? (a) q (b) -1/2 (c) 3
b
Let i = 0.93 + -139.93. Let g = i - -138.9. Which is the nearest to -1? (a) -16 (b) g (c) 5
b
Let d = -0.5611 - -0.0611. What is the closest to 1 in -0.2, 7/2, d?
-0.2
Let t(p) = -10*p + 2. Let k be t(-1). Suppose -13*w = -k*w. Suppose w*j - 12 = 3*j. Which is the closest to -0.5? (a) 2 (b) j (c) -1
c
Let p be 1*-2 + 2 - 1. Let d = 0 - p. Let v = -4363/6 - -727. Which is the nearest to d? (a) v (b) -2 (c) 3
a
Suppose -43*p + 5 = -16*p - 22*p. Let m = -2 - -2.3. Let z = -0.4 + m. Which is the nearest to p? (a) z (b) 4/3 (c) -0.2
b
Let z = 10/19 + 8/57. Which is the nearest to -1? (a) z (b) 15/2 (c) -4
a
Let r be (0 - -1) + -5 - 1. Suppose -n = -3*n - 14. Let k be 6/(-4)*n/(-42). What is the nearest to -2/3 in r, -4, k?
k
Let t = -136.6 + 134.6. Which is the closest to 0.33? (a) t (b) 3/5 (c) 4 (d) -3
b
Let z = -1.154 - -0.654. Which is the nearest to -1/2? (a) z (b) -0.3 (c) 0 (d) -3
a
Let k = -0.352 + 0.252. Which is the closest to -2/7? (a) k (b) 0.1 (c) -1
a
Let u = -2.87 - -2.67. Let b be (0 - 0) + 0 + 2. What is the nearest to 1/4 in b, u, -3?
u
Let l be 2/(-90) + (-3)/15. Suppose -5*k + 12*k = 0. Let d be 1/(-3) + -3 + 3. Which is the nearest to -2/3? (a) l (b) k (c) d
c
Let j = -1.1 + 1.2. Suppose -4*h - 15 = -7. Let f = -0.2 + 0. Which is the nearest to -1? (a) h (b) f (c) j
b
Let t = 35 - 141/4. Let i = 13.9 + -9.9. Which is the closest to -0.1? (a) -0.5 (b) i (c) t
c
Suppose -8 = -t - 2*y, 2*t + 3*t = -4*y + 10. Let c = 0.204 - -0.046. Let o = -0.45 + c. What is the nearest to -0.1 in -3, t, o?
o
Let u = 119.9 - 123.9. Which is the nearest to 5/3? (a) u (b) -0.3 (c) -0.1 (d) 0
d
Let p = -28 + 21. Let t be 0 + (-5)/p*(-8)/20. Let l = -4/49 + 134/441. Which is the nearest to l? (a) t (b) 5 (c) 1/10
c
Let j be 2/(-5)*(-10)/24. Let q = -12.4 - -15. Let v = 2.7 - q. What is the closest to v in 0.3, j, -4?
j
Let y = -2504 + 2504.5. Which is the closest to -0.1? (a) 5/4 (b) y (c) 1/6
c
Let u = 0.9 - 1. Let i = 615 - 614. What is the nearest to u in -2/7, -4/7, i?
-2/7
Let t(u) = u**3 + 2*u**2 + 2*u + 1. Let v be t(-2). Let p = -1/4670 + -9319/98070. Which is the closest to p? (a) 0 (b) v (c) -1/7
c
Let w = -54.2 - -54. Let a = -2178 - -6719/3. Let r = 61 - a. What is the nearest to 0 in -5, r, w?
w
Let p = -0.1 - 0.1. Let m = -527/7 - -75. Let x = 28 + -28. What is the closest to p in m, 4, x?
m
Let m = -0.0041 + 0.1041. Which is the nearest to -4? (a) m (b) -0.01 (c) -4/3
c
Let m be 63/42*(-12)/(-45). Which is the closest to 0? (a) m (b) -0.1 (c) -5
b
Suppose -3*a - 7 = -g, -5*g - 4*a - 41 = -0*a. What is the closest to 3/17 in g, -3, -1/4?
-1/4
Let p = 7678 + -7678. Let d = 0.8 + 0.2. Which is the closest to p? (a) -5 (b) d (c) 0
c
Let u = 38 + -265/7. Which is the closest to -1? (a) u (b) 4 (c) 0.034
c
Suppose -10*m = 21*m + 155. What is the nearest to 0 in 2, m, -1?
-1
Let w = 1/32 - -59/160. Let f = 2615 + -2611. Which is the nearest to -3? (a) 12 (b) f (c) w
c
Let b = -94 - -101. Suppose 3*l = -6, -l = 6*t - b*t. What is the nearest to -1 in t, -5, -1?
-1
Let k = -11.53 + 11.03. Which is the nearest to -2? (a) -0.4 (b) 2 (c) k (d) 1/2
c
Let i = 30 + -43. What is the nearest to -1/2 in 2/9, i, -3?
2/9
Let v = -1.8 - 0.2. Let h = v + 1. Let y = 0.114 + 0.286. Which is the closest to h? (a) -4 (b) -3 (c) y
c
Let h = 404 + -404.1. What is the closest to h in 2/7, -1, -34?
2/7
Let t = -478 + 477. What is the closest to 2 in 0.3, -2/5, -1/7, t?
0.3
Let a be -1*9/(-60)*-28 - -4. What is the closest to -1 in -0.17, 0, a?
a
Let h = 1.2289 - 0.0289. Which is the closest to h? (a) 3 (b) 0.2 (c) -0.2
b
Let u = -249 - -248. Which is the nearest to u? (a) -2/9 (b) -24 (c) 0.5
a
Let s = -53 - -90. Let m = s + -36.5. What is the nearest to 3 in -2/11, m, 0.1?
m
Let d = 39 - 38.9. Let f(s) = s + 5. | {
"pile_set_name": "DM Mathematics"
} |
j(-1)?
0
Let c(x) = -2*x**3 - 4*x**2 - 2*x. Let i be (-18)/(-15)*(-30)/(-18). Let j = 5 + -2. Suppose -j = i*l + 1. Give c(l).
4
Let u be (-1 - -3)*(-9)/6. Let p be (-4)/(-6)*(0 - u). Let g(j) = 9*j + 5. Let b(c) = 12*c + 7. Let w(x) = -2*b(x) + 3*g(x). Calculate w(p).
7
Let c(f) = f - 7. Let v(x) = -9. Let d(w) = c(w) - v(w). Let u be 4/(-22) - 96/(-44). Calculate d(u).
4
Let s(f) = -2*f**3 + 4*f**2 + 2*f. Let g = -3 - 4. Let r(y) = -6*y**3 + 13*y**2 + 6*y. Let i(b) = g*s(b) + 2*r(b). Calculate i(2).
4
Suppose 5 = -h + 4*z - z, -2*z + 2 = -h. Let y(s) = h*s - 6*s - 3*s - 1. Determine y(-1).
4
Let z(d) = d**3 - 4*d**2 + 2*d + 1. Let o(v) = 23*v**2 + 3*v - 3. Let t be o(1). Let c = t + -20. Determine z(c).
-2
Let m(x) = -27*x - 15. Let s(c) = -14*c - 9. Let u(a) = 6*m(a) - 11*s(a). Calculate u(1).
1
Let o(q) = -q**3 - 6*q**2 + q. Let d be o(-6). Let n(a) = -7*a + 139*a**2 + 132*a**2 - 272*a**2 - 4. Let f be n(d). Let i(x) = 3*x + 1. What is i(f)?
7
Suppose -3*c + 4*c = z + 6, -4*c = 2*z - 18. Let n(p) = 0*p**3 + 4*p**3 + 0*p**3. Give n(z).
-4
Let j(y) be the first derivative of -4*y**2 - 95*y + 133. What is j(-12)?
1
Suppose -a = b + 40, 2*a + 3*a + 2*b = -197. Let u = a + 35. Let l(j) = j. Determine l(u).
-4
Let v(w) = w. Let n(q) = 9*q + 17. Let a(d) = -n(d) + 8*v(d). Determine a(-8).
-9
Let x(d) = 3*d - 5. Suppose 5*v - 2*p - 18 = 0, -5*v = 3*p + 3 - 1. Let i be (7/v)/(2/(-4)). Let b = i + 11. Calculate x(b).
7
Let q(z) be the second derivative of -7*z**3/6 + 3*z**2 + 6*z. Let r(y) be the second derivative of y**3/6 + 4*y. Let o(f) = q(f) + 5*r(f). What is o(4)?
-2
Let o = 489 - 496. Let g(a) = a**2 + 9*a + 4. Calculate g(o).
-10
Let l(r) be the first derivative of r**2/2 + r - 1. Suppose 4*h + 30*f - 16 = 26*f, 0 = -5*h + 2*f + 27. Calculate l(h).
6
Let h(n) be the second derivative of -n**7/840 - 7*n**6/360 + 7*n**5/120 - n**4/8 + 11*n**3/6 + 2*n. Let m(w) be the second derivative of h(w). Give m(-8).
5
Let y(f) be the third derivative of f**5/40 + f**4/12 - 11*f**3/6 + 13*f**2. Let w(r) be the first derivative of y(r). Determine w(-6).
-16
Suppose 2*u + 240 = 6*u. Suppose 2*h + 2*w = -2*w, -5*h + u = -5*w. Let o(x) = h + 7 - 14 + 2*x - 16*x**3. Determine o(-1).
15
Let n(d) = 1 - 32*d**2 + 16*d**2 - 4*d**2 + 19*d**2. Calculate n(4).
-15
Let w be (1 - -1)/((-10)/(-15)). Let u(z) = -z + 3. Let f(p) = 4*p - 15. Let o(q) = -1. Let x(i) = -f(i) + 5*o(i). Let l(j) = 7*u(j) - 2*x(j). Determine l(w).
4
Let j(m) = 6*m + 2. Let n(f) = -11*f - 4. Let s(b) = 5*j(b) + 3*n(b). Suppose 14 = -10*u + 3*u. Calculate s(u).
4
Let f(y) = -79*y**3 + y + 4*y**2 - 4016 + 78*y**3 + 4013. Let m(z) = z**2 - 3*z - 7. Let o be m(5). Suppose -n + o*n = 6. Determine f(n).
9
Let m(s) be the second derivative of -s**3/6 + 2*s**2 + 80*s. Give m(11).
-7
Let d be 4 + (-11 - -10)/(-1). Let f(l) = l - 11. Determine f(d).
-6
Let k(c) be the third derivative of c**6/120 + c**5/5 + 11*c**4/24 + 8*c**3/3 - 43*c**2 + 3. Determine k(-11).
16
Let i(m) = 11*m**3 + 2*m**2 - 4*m + 8. Let p(x) = -9*x**3 - x**2 + 4*x - 6. Let d(b) = -5*i(b) - 6*p(b). Determine d(-3).
-1
Let m be ((-154)/(-110))/((-6)/60). Let o(r) = -r + 12. Give o(m).
26
Suppose -6*i + i = 0. Suppose i = 3*k - 0*k - 6. Let d(a) = 0 - 1 - k + a. Determine d(-3).
-6
Let j be ((-220)/(-66))/(2/3). Let i(b) = -j*b**2 + 0*b**2 + 4*b**2 - b + 2*b**2 - 2. Give i(4).
10
Let u(t) be the second derivative of t**5/20 - t**4/3 + t**3/6 - 3*t**2/2 + 44*t. Calculate u(4).
1
Let j(u) = -u - 1. Let y(w) be the first derivative of -3*w**2/2 - 9*w + 5. Let b(z) = 2*j(z) - y(z). Let a = -7 + 1. Calculate b(a).
1
Let q(o) be the third derivative of -o**5/60 - 7*o**4/8 - o**3/6 + 775*o**2. Give q(-21).
-1
Let w(g) = -g**2 + 2*g + 3. Let f be w(-1). Let j be (-8 + 1)/(-5 - -4). Let l(d) = -d**3 + 0*d - d**2 - j + 0*d. Give l(f).
-7
Let l(t) be the first derivative of -t**3/3 - 4*t**2 + 2*t + 170. Give l(-8).
2
Let m(n) = -n**2 - 5*n + 2. Suppose i + 5*q - 3 = -2*i, -5 = -5*i + 2*q. Let v be (1 + 1/(-1))*i. Suppose v = -2*h + c - 9, -5*h - 5*c = -0*h. Calculate m(h).
8
Suppose 4*g - m + 14 = 0, -4*g - 4*m + 1 = 5. Let j(l) be the first derivative of -3*l**2/2 - 3*l + 1. Let d(b) = b. Let t(w) = -4*d(w) - j(w). Give t(g).
6
Let r(x) be the first derivative of 0 - x**2 - 1 + 4*x**2 - 5*x**2. Determine r(5).
-20
Let v(x) = x**3 + 3 + 18*x - 24*x + 2*x**2 + 8*x. What is v(-2)?
-1
Let o be 2*((-4)/(-8) - -2). Suppose -o*h + 12 = 22. Let c be (8/(-2) - -2)/h. Let i(s) = -12*s**3 + 1. Give i(c).
-11
Let n(o) = 4*o + 4 - 7*o**2 + 5 - 2 + o**3. Let a = 238 + -232. Determine n(a).
-5
Let d(h) = -3*h + 3*h - 2*h - 2 + 4*h - 3*h. Give d(-3).
1
Suppose -5*k + 17 = -13. Let d = -4 + k. Let g(u) = u**2 + 2*u - 3*u**2 + 0*u**2 + 0*u**2 - 2. Determine g(d).
-6
Let k(n) be the first derivative of -9*n**2/2 - n - 197. Calculate k(1).
-10
Let o(f) = -2*f + 19. Let k be o(10). Let p be 2 + (2 + k)*(15 - 12). Let t(i) = -i**2 + 6*i - 5. Give t(p).
0
Let a(p) = -6*p. Let w(t) = -5*t + 1. Let y(g) = 6*a(g) - 7*w(g). Let c = -9 + 5. Give y(c).
-3
Let f(g) = -2*g**2 + 9*g + 4. Let h(q) = -5*q**2 + 18*q + 7. Let z(t) = 7*f(t) - 3*h(t). What is z(-8)?
-1
Let n(j) = 23*j - 187. Let w be n(8). Let y(o) = -o**2 - 4*o - 1. What is y(w)?
2
Let a(x) = -13*x - 5. Let d(i) be the second derivative of 11*i**3/6 + 2*i**2 - 22*i. Let b(o) = 5*a(o) + 6*d(o). Let f = -11 - -6. Give b(f).
-6
Let g(p) = 2*p**3 - 2*p. Let q(i) = -i**3 + 14*i**2 + 15*i - 2. Let l be q(15). Calculate g(l).
-12
Let d(h) = h**2 + 5*h - 2. Let t(i) = -i**3 + 13*i**2 - 13*i + 7. Let v = 38 + -26. Let l be t(v). Give d(l).
-2
Let l(d) = -20*d + 5. Let x(c) = 11*c - 4. Let y(i) = 6*l(i) + 11*x(i). Give y(14).
0
Let m = 2894 - 2901. Let j(r) = -2*r**2 - 12*r + 6. Calculate j(m).
-8
Suppose -2*w + 10 = -2*o + 2, 0 = 4*o - w + 13. Let k(j) = j**2 + 6*j + 3. Calculate k(o).
-6
Let k(v) = v**3 + 3*v**2 - v + 1. Let l(i) = 3*i**2 + 6*i - 17. Let t be l(5). Let f = t - 90. Give k(f).
7
Let l(v) be the first derivative of v**3/3 - v**2 - 3*v + 115. Give l(-2).
5
Let n(j) = -j**2 - 8*j - 8. Let g be (3 - (-93)/(-21))/(1/(-7)). Suppose -g = 3*q - o + 11, -4*q - 2*o - 38 = 0. Determine n(q).
-8
Let t be 3*(-4)/6 + -3. Let o(i) = 5*i - 34 - i**3 + 7*i**2 + 33 + 12*i**3. Let b(c) = 7*c**3 + 5*c**2 + 3*c - 1. Let m(l) = 8*b(l) - 5*o(l). Give m(t).
2
Let y(v) = -4*v**2 + v. Suppose -2 = 3*l - 17. Suppose -o + 6 = l. Give y(o).
-3
Let v(k) = -27*k - 2. Let c(g) = -18*g - 1. Let p(u) = 7*c(u) - 5*v(u). Suppose 9 = -13*j - 17. Calculate p(j).
-15
Let c(f) = -f**3 - 19*f**2 - f - 5. Suppose 0 = -11*b + 17*b + 114. What is c(b)?
14
Let r(b) be the second derivative of -b**5/20 + 5*b**4/6 - 3*b**3/2 - 3*b**2 - 3*b - 22. Give r(9).
-6
Let v = -125/9 - -277/18. Let f(l) be the first derivative of 2*l + 0*l**3 + v*l**2 + 12 - 1/4*l**4. What is f(-2)?
4
Let y(b) be the second derivative of -b**4/12 - 7*b**3/6 - 3*b**2 + 306*b. Calculate y(-5).
4
Suppose -40 = -9*i - 4. Suppose -b - 8*d + 6 = -i*d, -3*d = -3*b + 3. Let g(o) = 3*o - 3. What is g(b)?
3
Let l(g) = 589*g**2 - 290*g**2 - g - 1 - g**3 - 300*g**2. Let j be (-5 - -5)/(1/(-1)). Give l(j).
-1
Let h(r) = 5*r**2 + 1. Let s = -29 - -20. Let w(j) = -j**3 - 9*j**2 - j - 7. Let c be w(s). Suppose c*p + 0*p = -2. Calculate h(p).
6
Let i(k) be the first derivative of k**4/4 + 5*k**3/3 - 7*k**2/2 - 8*k - 1855. Suppose 4*y = -23 - 1. Calculate i(y).
-2
Let f = -8 + 10. Let d(x) = 3*x. Let g be d(f). Let z(b) = -21*b + 11*b + 9*b. Give z(g).
-6
Let o(d) = d**2 + 66*d - 210. Let a be o(-69). Let y(k) = 7*k - 6. What is y(a)?
-27
Let t(q) = q**3 - 18*q**2 + 1. Let m be t(18). Let d(u) = -2 - 4*u + 3*u + 2 - m. Give d(-4).
3
Let c(o) = -5*o**2 - 226*o + 4*o**2 + 244*o + 7. Determine c(19).
-12
Let q(r) = 15*r + 11. Let x(t) = -t - t - 5*t + 3 - 8. Let j(n) = -6*q(n) - 13*x(n). Calculate j(-1).
-2
Let x(g) = -g**2 - 90*g - 89*g + 180*g. Suppose 3 = 5*n + 2*k - 2, 0 = -2*n + 2*k + 2. Give x(n).
0
Let i = -2 - 2. Let x(z) = 4*z + 2. Let s be x(0). Let j(n) = 28 - 24 + 3*n - 9 + n + n**s. Give j(i).
-5
Let h(m) be the second derivative of m**5/60 - m**4/8 + 9*m**3/2 - 11*m. Let d(c) be the second derivative of h(c). Give d(5).
7
Let a(s) = 5*s**2 - s + 5. Let l(h) = 4*h**2 + 4. Suppose -35 = | {
"pile_set_name": "DM Mathematics"
} |
418073?
-4101680
What comes next: -1228, -4925, -14966, -34525, -66776, -114893?
-182050
What is the next term in -152311, -152316, -152263, -152122, -151863?
-151456
What is next in -319852875, -639705751, -959558627, -1279411503, -1599264379?
-1919117255
What comes next: 5618, 8762, 17282, 33866, 61202, 101978?
158882
What comes next: 87444, 174670, 261890, 349104, 436312, 523514, 610710?
697900
What is next in -9741240, -9741243, -9741246, -9741249?
-9741252
What is the next term in -165324, -164941, -164288, -163359, -162148?
-160649
What is the next term in 69197, 276811, 622833, 1107263, 1730101, 2491347, 3391001?
4429063
What comes next: 7036, 27645, 62002, 110107, 171960, 247561?
336910
What comes next: 2616, 4656, 6696, 8736, 10776?
12816
What is next in -316295, -2530050, -8538817, -20240102, -39531411?
-68310250
What is next in -64539796, -129079594, -193619392, -258159190, -322698988?
-387238786
What is next in 287150, 574338, 861526, 1148714, 1435902, 1723090?
2010278
What comes next: -12082, -23458, -34834, -46210, -57586, -68962?
-80338
What comes next: 7465, 29741, 66875, 118873, 185741, 267485, 364111?
475625
What comes next: 2669, 11167, 25333, 45173, 70693, 101899, 138797, 181393?
229693
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71761
What is the next term in 1235626, 2471263, 3706900, 4942537, 6178174?
7413811
What is next in -5360, -10191, -15024, -19841, -24624, -29355, -34016?
-38589
What is next in -9750, -9008, -8216, -7368, -6458, -5480, -4428, -3296?
-2078
What comes next: 14219, 14120, 13953, 13718, 13415, 13044?
12605
What comes next: -4962, 4148, 19332, 40590, 67922, 101328, 140808?
186362
What is next in 7331, 12204, 20327, 31706, 46347, 64256, 85439?
109902
What is the next term in -5748, -5743, -5720, -5673, -5596?
-5483
What comes next: -87, -487, -1203, -2235, -3583, -5247, -7227?
-9523
What is next in 7686, 15004, 22308, 29604, 36898?
44196
What comes next: 492823, 1971085, 4434857, 7884145, 12318955, 17739293?
24145165
What comes next: -96, -249, -414, -603, -828, -1101, -1434, -1839?
-2328
What is the next term in 184, 597, 1030, 1273, 1116, 349, -1238, -3855?
-7712
What comes next: 892437, 892453, 892469?
892485
What is the next term in -203482, -406961, -610440, -813919?
-1017398
What is next in 1285, 9175, 30593, 72301, 141061, 243635, 386785, 577273?
821861
What is the next term in 2322, 4547, 6970, 9591?
12410
What is next in -20194, -80828, -181884, -323362, -505262?
-727584
What comes next: 1566955, 1566959, 1566961, 1566955, 1566935, 1566895, 1566829?
1566731
What is next in -2396671, -2396694, -2396717, -2396740, -2396763, -2396786?
-2396809
What is the next term in 601509, 1203016, 1804523, 2406030?
3007537
What is next in -1114359, -1114364, -1114369, -1114374, -1114379, -1114384?
-1114389
What is the next term in 93966, 187832, 281698, 375564, 469430?
563296
What is next in -731, -3527, -8163, -14621, -22883, -32931, -44747, -58313?
-73611
What is the next term in 7496307, 14992615, 22488923?
29985231
What comes next: 2055319, 8221278, 18497875, 32885110, 51382983, 73991494?
100710643
What is next in 17740, 71785, 162158, 288859, 451888?
651245
What is next in -855, -3749, -8637, -15519, -24395, -35265?
-48129
What is the next term in 22350, 21276, 20200, 19122?
18042
What is next in -30, 318, 1544, 4176, 8742?
15770
What is next in -108136, -108106, -108060, -107992, -107896, -107766, -107596, -107380?
-107112
What is the next term in -56244, -225033, -506342, -900171, -1406520, -2025389?
-2756778
What comes next: 38, 3020, 7998, 14978, 23966, 34968, 47990?
63038
What is the next term in 44535, 356369, 1202825, 2851221, 5568875, 9623105, 15281229, 22810565?
32478431
What comes next: -747938, -1495869, -2243822, -2991809, -3739842, -4487933, -5236094?
-5984337
What is next in 6323, 6123, 5789, 5321?
4719
What is next in -3709, -7456, -11205, -14956, -18709?
-22464
What is the next term in -157, -219, -259, -265, -225, -127, 41, 291?
635
What is next in 2490233, 2490243, 2490253, 2490263, 2490273, 2490283?
2490293
What is next in -8515, -8922, -9331, -9742, -10155, -10570?
-10987
What comes next: -19012, -18973, -18920, -18847, -18748, -18617?
-18448
What comes next: 56010165, 56010167, 56010169, 56010171?
56010173
What is next in 14362442, 28724882, 43087322?
57449762
What is next in -4731, -18534, -41521, -73692, -115047, -165586, -225309?
-294216
What is next in -267404, -268455, -269506, -270557?
-271608
What is next in 1572, 6007, 13292, 23427, 36412, 52247, 70932?
92467
What is next in 25217985, 50435964, 75653943, 100871922, 126089901?
151307880
What comes next: 1111, 1637, 2163, 2689?
3215
What is the next term in -14647, -14855, -15201, -15685, -16307?
-17067
What is the next term in -8905189, -17810378, -26715567?
-35620756
What comes next: -5915, -5928, -5929, -5918, -5895?
-5860
What comes next: -236951, -473917, -710885, -947861, -1184851, -1421861, -1658897, -1895965?
-2133071
What is the next term in -300, -539, -378, 639, 2968?
7065
What is next in -451931, -1807072, -4065641, -7227638, -11293063, -16261916, -22134197?
-28909906
What comes next: 243933, 487866, 731809, 975768, 1219749, 1463758?
1707801
What comes next: -3132415, -6264832, -9397249, -12529666, -15662083, -18794500?
-21926917
What is the next term in 259, 1299, 3579, 7549, 13659?
22359
What comes next: 160296680, 160296677, 160296674, 160296671?
160296668
What is the next term in -8153, -6317, -4481, -2645, -809?
1027
What comes next: 5162472, 10324955, 15487450, 20649963, 25812500, 30975067?
36137670
What is next in -219789, -439522, -659255?
-878988
What is the next term in -6119, -12161, -18203?
-24245
What is next in -960430, -1920867, -2881304, -3841741?
-4802178
What is the next term in 170471, 340937, 511403, 681869, 852335?
1022801
What is next in 98937, 98954, 98977, 99006, 99041, 99082, 99129?
99182
What comes next: -10058, -10141, -10222, -10301, -10378, -10453?
-10526
What is next in 10077, 10320, 10557, 10788, 11013?
11232
What comes next: -394, -3546, -6698, -9850?
-13002
What is the next term in 289886, 579789, 869708, 1159643, 1449594, 1739561, 2029544?
2319543
What is next in -43829, -43792, -43729, -43628, -43477, -43264?
-42977
What is next in 377, 293, 55, -415, -1195, -2363, -3997, -6175?
-8975
What comes next: 518095, 517949, 517703, 517357, 516911, 516365?
515719
What is next in 46395598, 92791196, 139186794, 185582392, 231977990, 278373588?
324769186
What is the next term in 5850, 5219, 4588?
3957
What is next in 11307, 19725, 28155, 36603, 45075, 53577, 62115, 70695?
79323
What is next in 60869, 121838, 182807, 243776, 304745?
365714
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1429
What is next in 34241506, 68483016, 102724528, 136966042, 171207558, 205449076, 239690596?
273932118
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-4686
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-49198
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101083389
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421172
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80202
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-172557
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-32001
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-9192
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-5913171
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-2546211
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-23366
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36496
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-89946
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3760
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-4724
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-7783
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-227316
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35935967
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-425548
What is the next term in 14991, 15514, 16037?
16560
What comes | {
"pile_set_name": "DM Mathematics"
} |
**4 + 2 + 2*t**3 - 3/2*t**2 - j*t = 0.
-1, 1, 2
Let l(m) = 32*m**3 + 1176*m**2 - 1495*m + 389. Let z(h) = 4*h**3 + 147*h**2 - 187*h + 48. Let n(a) = 6*l(a) - 51*z(a). Let n(g) = 0. What is g?
-38, 1/4, 1
Suppose 16/5*t - 2/5*t**2 - 32/5 = 0. What is t?
4
Let c = 1927 - 1924. Let -3/2*h**2 - 3/8*h - 7/8*h**c + 1/4 = 0. What is h?
-1, 2/7
Let w be (-9)/(-6)*28/2. Let b be 6/(-80)*2*-5*4. Factor -w*k**4 + 7*k**4 + 2*k**4 + 10*k**4 + 4*k**b.
-2*k**3*(k - 2)
Let y(c) be the first derivative of c**5/50 + c**4/15 + c**3/15 + 10*c - 43. Let a(t) be the first derivative of y(t). Find n such that a(n) = 0.
-1, 0
Let p(w) be the second derivative of w**8/840 - w**7/420 - w**6/60 + w**5/60 + w**4/6 + 5*w**3/3 + 10*w. Let j(q) be the second derivative of p(q). Factor j(v).
2*(v - 2)*(v - 1)*(v + 1)**2
Factor -2/7*i**2 + 2/7*i**4 - 2/7*i + 2/7*i**3 + 0.
2*i*(i - 1)*(i + 1)**2/7
Let z(s) be the second derivative of s**6/15 + 4*s**5/5 - 8*s**4 - 256*s**3/3 + 1024*s**2 - 18*s - 2. Factor z(c).
2*(c - 4)**2*(c + 8)**2
Let n = -204 + 204. Let m(q) be the first derivative of 0*q**2 + 2/25*q**5 + 5 + n*q**4 + 2/5*q - 4/15*q**3. Find h, given that m(h) = 0.
-1, 1
Let o(i) = -13*i**3 + 16*i**2 - 4*i + 4. Let u(t) = -69*t**3 + 81*t**2 - 21*t + 21. Let n(l) = 21*o(l) - 4*u(l). Determine d, given that n(d) = 0.
-4, 0
Factor -3*p**2 + 69993*p + 5292 - 12*p**3 - 1002*p**2 - 90909*p.
-3*(p + 42)**2*(4*p - 1)
Let d = 65 - 63. Factor -20*z - 4*z**3 - 5 + 2*z**2 - 20*z**d - 1.
-2*(z + 1)*(z + 3)*(2*z + 1)
Let i be (-6)/(-9)*(-9 + 132/14). What is q in 10/7*q**2 - 8/7*q - i = 0?
-1/5, 1
Let x be 4/18 + 4/(-18). Suppose -2*l + 7 = 2*h - 9, x = 4*h + 5*l - 37. Factor 6*w**3 - 5*w**3 - 2*w**3 + 6*w - w**h + 4*w**2.
-2*w*(w - 3)*(w + 1)
Let d(i) = 6*i**3 - 2*i - 654 + 2*i**3 + 654. Let n(b) = -17*b**3 + b**2 + 5*b. Let c(v) = 13*d(v) + 6*n(v). Let c(u) = 0. What is u?
-2, -1, 0
Suppose -2*v - 16 = -4*i, 3*v = -3*i - 5 + 17. Suppose v*s = -6*s + 12. Suppose 3/2*a**3 - 1 + 1/2*a**4 - 3/2*a + 1/2*a**s = 0. Calculate a.
-2, -1, 1
Suppose -5*i - 4*d + 7*d = 45, -2*d - 34 = 2*i. Let w be (-8)/(-12) + i/126. Factor w*f**3 - 4/7*f**2 + 4/7*f**4 - 4/7*f + 0.
4*f*(f - 1)*(f + 1)**2/7
Let t(w) be the first derivative of -25*w**2 - 7 - 5/3*w**3 - 125*w. Factor t(f).
-5*(f + 5)**2
Let m(a) be the first derivative of a**7/42 - 27*a**2/2 + 8. Let y(v) be the second derivative of m(v). Factor y(p).
5*p**4
Let w(h) be the first derivative of 8 - h**5 + 0*h**4 + 5/3*h**3 + 0*h + 0*h**2. Suppose w(b) = 0. Calculate b.
-1, 0, 1
Let n be 24/((-6)/(-3 - 0)). Let -3*j**2 + 7*j**2 + 2*j**2 - n*j - 2*j**2 - 16 = 0. What is j?
-1, 4
Suppose 1024/3 - 20*k**2 + 128*k + 2/3*k**3 = 0. What is k?
-2, 16
Let n(w) be the second derivative of -w**5/120 - w**4/12 + 5*w**3/12 + 5*w**2 - 14*w. Let g(m) be the first derivative of n(m). Factor g(f).
-(f - 1)*(f + 5)/2
Let m(o) = 5*o**3 - o**2 + o - 1. Let d(q) = -q**2 - 7*q - 5. Let y be d(-6). Let n be m(y). Factor 4*b + 4*b**3 - 5*b**3 + 2*b**2 - b - n*b.
-b*(b - 1)**2
Let q = 22 + 33. Solve -15*t**4 - 10*t + 17*t**4 + 0*t + q*t**2 + 33*t**4 - 80*t**3 = 0 for t.
0, 2/7, 1
Suppose -11*u - 21 + 43 = 0. Factor j - 1/2 - 1/2*j**u.
-(j - 1)**2/2
Let t(d) be the first derivative of 0*d**2 - 24 + 0*d + 2/25*d**5 + 0*d**3 + 1/5*d**6 - 1/5*d**4. Factor t(a).
2*a**3*(a + 1)*(3*a - 2)/5
Determine h, given that -7*h**2 - 30*h - 18 + 21*h**2 - 2*h**3 + 5*h**2 - 33*h**2 = 0.
-3, -1
Let z(n) be the third derivative of 1/220*n**6 - 1/165*n**5 + 0*n**4 + 0 + 7*n**2 + 0*n**3 + n + 1/231*n**7. Suppose z(g) = 0. Calculate g.
-1, 0, 2/5
Let g = 5/439 - -2165/2634. Factor -1 + 2*m**2 - 11/6*m + g*m**3.
(m - 1)*(m + 3)*(5*m + 2)/6
Let v(o) be the third derivative of -2*o**7/105 - o**6/6 - 2*o**5/5 + 2*o**4/3 + 16*o**3/3 + 303*o**2. Find q such that v(q) = 0.
-2, 1
Let u be (-9234)/648 + 18/1. Factor -7/4*m**4 + 0 + u*m**3 - 9/4*m**2 + 0*m + 1/4*m**5.
m**2*(m - 3)**2*(m - 1)/4
Let d = 22 + -12. Let j be (-28)/(-8) - 12/(-8). Factor -j*o**2 + 22 + 25 - d*o - 52.
-5*(o + 1)**2
Let m(g) be the first derivative of -g**8/840 + g**6/180 + 8*g**3 + 48. Let u(z) be the third derivative of m(z). Let u(c) = 0. What is c?
-1, 0, 1
Let u(x) = -2*x**3 - 1. Let q(y) = 5*y**3 + 75*y**2 + 5*y - 70. Let m(z) = -q(z) - 5*u(z). Factor m(w).
5*(w - 15)*(w - 1)*(w + 1)
Let 162/5*f**3 + 258/5*f**2 - 3/5*f**5 + 9 + 177/5*f + 33/5*f**4 = 0. Calculate f.
-1, 15
Let s(b) be the second derivative of 2*b**7/21 + 2*b**6/15 - 3*b**5/5 - 5*b**4/3 - 4*b**3/3 + 3*b + 2. Factor s(m).
4*m*(m - 2)*(m + 1)**3
Let 19*c + 21/2*c**2 + 0 + 1/2*c**3 = 0. Calculate c.
-19, -2, 0
Let b(k) be the third derivative of 3*k**2 + 0*k**3 - 1/105*k**7 - 1/504*k**8 - 1/90*k**6 + 0*k**4 + 0 + 0*k + 0*k**5. Factor b(o).
-2*o**3*(o + 1)*(o + 2)/3
Let z(f) be the third derivative of f**7/735 + f**6/420 - f**2 - 3*f. Suppose z(b) = 0. Calculate b.
-1, 0
Suppose 0 = -3*r - 2*r - r. Let n be ((-18)/8 - (-2 - r))*-2. Factor 0*g - 1/2*g**2 + n.
-(g - 1)*(g + 1)/2
Let u(b) be the first derivative of 16 - 1/15*b**2 + 0*b**3 + 0*b + 1/30*b**4. Factor u(n).
2*n*(n - 1)*(n + 1)/15
Let n = 1/4 + -1/5. Let i(j) be the first derivative of 0*j + 5 + 2/5*j**2 + n*j**4 + 4/15*j**3. Let i(h) = 0. Calculate h.
-2, 0
Let u(t) be the first derivative of 0*t - 1/2*t**4 + 8/3*t**3 - 15 - 4*t**2. Factor u(k).
-2*k*(k - 2)**2
Solve 48/7*f**4 - 3*f**5 + 12/7*f + 9/7*f**3 - 48/7*f**2 + 0 = 0.
-1, 0, 2/7, 1, 2
Let g(x) be the first derivative of x**5/120 - x**3/36 - 12*x + 18. Let i(p) be the first derivative of g(p). Determine r so that i(r) = 0.
-1, 0, 1
Let h(a) be the first derivative of -2/45*a**3 + 1/30*a**4 - 1/45*a**6 + 0*a + 2/75*a**5 + 8 + 0*a**2. Find m, given that h(m) = 0.
-1, 0, 1
Let r(t) = t**3 - 18*t**2 + 3. Let i be r(18). Factor 9*q**3 - 20*q**3 + 6*q**i.
-5*q**3
Let i(l) be the first derivative of 14/9*l**2 - 4/3*l - 3 + 1/9*l**4 - 20/27*l**3. Let i(c) = 0. What is c?
1, 3
Suppose -3*c - 5*d = -32, 0 = 3*c - 2*d + 2 - 6. Factor -679 + 679 - 16*f + c*f**3.
4*f*(f - 2)*(f + 2)
Let p(b) be the third derivative of -1/90*b**6 - 1/1008*b**8 + 1/126*b**7 + 0*b**4 + 0*b**3 + 0*b**5 + 0 + 0*b + 18*b**2. Factor p(c).
-c**3*(c - 4)*(c - 1)/3
Let n(p) be the first derivative of -p**6/12 - p**5/10 + p**4/4 + p**3/3 - p**2/4 - p/2 + 73. Solve n(s) = 0.
-1, 1
Suppose -20*p + 188 - 148 = 0. Factor -56/3*c + 4 - 20/3*c**p.
-4*(c + 3)*(5*c - 1)/3
Let o(p) be the third derivative of -p**6/30 + 38*p**5/15 - 45*p**2. Find v, given that o(v) = 0.
0, 38
Factor 1/9*d**2 - 5/9*d - 2/3.
(d - 6)*(d + 1)/9
Suppose -168*p**2 - 6*p**3 + 19*p**4 + 50*p**3 + 2*p**5 + 98*p + 5*p**4 = 0. What is p?
-7, 0, 1
Suppose 103*l = 158*l - 220. Factor -4/9*j + 2/9*j**2 - 2/9*j**l + 4/9*j**3 + 0.
-2*j*(j - 2)*(j - 1)*(j + 1)/9
Suppose o - 61 = 2*o. Let k = -43 - o. Let -r + 5*r - k*r**3 + 2*r + 3 + 12*r - 3*r**2 = 0. Calculate r.
-1, -1/6, 1
Let a(v) be the third derivative of v**6/1140 - v**5/190 - 3*v**4/38 - 5*v**2 - v. Factor a(g).
2*g*(g - 6)*(g + 3)/19
Let n = -138 + 140. What is b in 299 + 2*b**n - 15*b - 57 + 59*b = 0?
-11
Let i be (-2)/((-20)/(-6)) - (-8)/(-20). Let r be 4*(-11)/(-20) - i/(-5). Factor 6/7*f + 3/7*f**r + 3/7.
3*(f + 1)**2/7
Let v(i) be the first derivative of 4/9*i**3 - 28/3*i**2 + 12 + 196/3*i. Determine k so that v(k) = 0.
7
Let x(b) be the second derivative of -b**6/320 + 11*b**5/160 - 35*b**4/64 + 25*b**3/16 - 5*b**2/2 - b. Let j(n) be the first derivative of x(n). Factor j(c).
-3*(c - 5)**2*(c - 1)/8
Let b = 4/5263 - -5247/21052. Let -b*q + 1 + 1/4*q**3 - q**2 = 0. What is q?
-1, 1, 4
Factor -20/9*o - 1/9*o**2 - 17/3.
-(o + 3)*(o + 17)/9
Factor 0 - c**2 - 1/2*c**3 + 3/2*c.
-c*(c - 1)*(c + 3)/2
Solve 265*t**4 - 1070 - 40*t**4 - t**4 - 13208*t**2 + 17520*t - 6130 + 2*t**5 + 2*t**5 + 2660*t**3 = 0 for t.
-30, 1, 2
Let u(i) = i**2 + i. Let a(q) = -4*q**2 + 2*q - 4. Let f(j) = 1 + j - 2*j + j - j. Let b(h) = -a(h) - 4*f(h). Let d(w) = 3*b(w) - 10*u(w). Factor d(r).
2*r*(r - 2)
Let k = -14 + 14. Let h(w) be the first derivative of 3 - 2/3*w**3 + k*w + 0*w**2. Factor h(p).
-2*p**2
Let g(j) be the second derivative of j**7/210 + j**6/60 - j**5/60 - j**4/12 - 5*j**2 - 10*j. Let t(r) be the first derivative of g(r). Factor t(s).
s*(s - 1)*(s + 1)*(s + 2)
Let v be ((-8)/( | {
"pile_set_name": "DM Mathematics"
} |
at is the nearest to 3 in 0.1, -2, -0.02, 1/4?
1/4
What is the nearest to -0.1 in 1/10, -1/10, 0.3, 53?
-1/10
What is the closest to -0.2 in 0.5, 0.9, 5, 19?
0.5
Which is the nearest to -2? (a) -2/13 (b) 856 (c) 1/7
a
Which is the closest to -33? (a) -2/25 (b) 2 (c) 5
a
Which is the closest to -4/11? (a) 0.2 (b) -3 (c) -2/7 (d) 1
c
Which is the closest to 0? (a) -19 (b) -2/13 (c) -0.1 (d) 1
c
Which is the closest to -65? (a) -3 (b) 1/51 (c) -1/10 (d) 1/2
a
Which is the nearest to -21? (a) -0.19 (b) 5 (c) -1/5 (d) 2
c
What is the closest to 1/5 in -1/2, 107, -3?
-1/2
Which is the nearest to -2? (a) 0.04 (b) -14 (c) 3
a
Which is the closest to -1.97? (a) -0.4 (b) -1/4 (c) 0.5
a
What is the closest to -7 in -0.9, 1, -1/6, -0.1?
-0.9
What is the closest to 2 in 1/5, 2, -0.4?
2
What is the closest to -2/7 in 0.9, 0, 609?
0
Which is the nearest to 2? (a) 0.12 (b) -0.3 (c) -4 (d) -3
a
Which is the closest to -2/5? (a) 1 (b) -4 (c) -29 (d) -0.5
d
Which is the closest to -1/4? (a) 1/5 (b) -0.5 (c) -0.2 (d) -96
c
What is the closest to 1 in 2, 0.13, 0.3, 6?
0.3
What is the nearest to -1 in 5, -2/13, 1/9?
-2/13
What is the closest to 2 in -24, 0.3, -5?
0.3
What is the closest to -70 in 0.05, -2/9, 3, 2/13?
-2/9
Which is the closest to 0.1? (a) -3/5 (b) 2/11 (c) -0.4 (d) -1/6
b
What is the nearest to 11 in -2, 0.3, -0.2, -5?
0.3
Which is the nearest to 0.1? (a) -2/3 (b) 2/21 (c) -24/11
b
What is the nearest to -0.2 in 3/43, 1/4, 2/11, 7?
3/43
What is the nearest to 1 in -4, -1/13, -5, -6?
-1/13
What is the nearest to 10 in 7, 2, -0.019?
7
What is the closest to 0.06 in 1, -0.2, 3, 1/18?
1/18
What is the closest to 2/31 in -1, 1/10, -4, -0.2?
1/10
What is the closest to -1 in -0.1, -14/11, -0.5?
-14/11
What is the nearest to 2/5 in 3/8, -4/27, -2/7?
3/8
What is the nearest to -8 in 5, 2, -0.2, 0.22?
-0.2
Which is the nearest to -2.8? (a) -0.4 (b) -3 (c) 18
b
What is the closest to 0.11 in -0.3, 5, -5.8, -1/4?
-1/4
What is the nearest to 2 in -1/203, -4, 2, 0?
2
Which is the nearest to 1? (a) -22 (b) -3 (c) -1
c
Which is the nearest to 1/4? (a) 21 (b) -2 (c) 3 (d) 0
d
Which is the nearest to 0? (a) -2/5 (b) -11 (c) 0.1 (d) 17
c
Which is the closest to -2/3? (a) -4/7 (b) 5 (c) 45 (d) 7
a
What is the nearest to -0.1 in 0.2, 4/13, 8?
0.2
What is the nearest to -1 in 4/17, -3, -4?
4/17
What is the closest to -0.1 in 4, -0.1, -2, -122?
-0.1
What is the nearest to -2/11 in -7, 0, -3?
0
What is the closest to 1/3 in -5, 0.2, 2?
0.2
What is the nearest to 0 in -0.5, -4, -6, -1/4?
-1/4
Which is the nearest to 3/2? (a) 0.2 (b) -15 (c) -0.5
a
Which is the nearest to 1? (a) 42/13 (b) -2/5 (c) 1/3
c
What is the closest to 8/9 in -0.1, -3, 4?
-0.1
Which is the nearest to 0.081? (a) -0.06 (b) 4 (c) 2
a
Which is the nearest to 2/7? (a) -36 (b) 0.2 (c) 3 (d) -2/19
b
Which is the closest to 15? (a) 1/7 (b) 1.3 (c) 8 (d) 3/8
c
Which is the nearest to 1/2? (a) 5 (b) 0.037 (c) -8
b
What is the closest to -0.1 in -1/4, -2, 58, 2/5?
-1/4
What is the nearest to -1.12 in -2/11, 1/6, 2, -0.1?
-2/11
What is the closest to 0 in 3/2, -1/8, -5?
-1/8
What is the closest to -1 in -0.5, -5/3, 0?
-0.5
Which is the nearest to 0.1? (a) -0.7 (b) 1 (c) -4.4
a
Which is the closest to 2? (a) 0.4 (b) -2/13 (c) -8
a
Which is the nearest to -88? (a) -8 (b) -4 (c) 5/4 (d) -0.2
a
What is the nearest to 9/4 in -5, 74, 1/2?
1/2
What is the closest to -0.2 in -5, -0.4, -639, 4?
-0.4
What is the nearest to 1/2 in -1, -4, 3/2, -0.3?
-0.3
What is the nearest to -3 in -2/7, -2, -0.32, -3/11?
-2
What is the nearest to -17 in -0.1, 2/5, 3/5, 2/37?
-0.1
Which is the nearest to -2/7? (a) 0.3 (b) 8 (c) 1 (d) 0
d
What is the closest to 0 in -1/9, -4, -0.3, -3/5?
-1/9
What is the closest to 0.3 in -2.2, 0.08, 5?
0.08
What is the closest to 8 in 58, -1, -4, -2?
-1
Which is the closest to 9? (a) -2 (b) 0.4 (c) 3/7 (d) 3
d
What is the nearest to -1 in 0.8, 229, -4?
0.8
Which is the nearest to -0.4? (a) 0.5 (b) -5 (c) -0.5
c
What is the nearest to 22 in -2/5, 0.2, 2, -0.3?
2
Which is the nearest to 0.1? (a) 1 (b) -8 (c) -4 (d) 4/5
d
What is the closest to -2/5 in -4, 0.09, -0.14, -0.4?
-0.4
Which is the nearest to -4? (a) -4/3 (b) -2.2 (c) -0.1
b
What is the closest to -0.2 in 0.1, -3, -43.2?
0.1
What is the nearest to 0.3 in -4, 4, 2/11?
2/11
What is the closest to 3 in 54, -5, -0.2, 3?
3
Which is the closest to -32? (a) 0.4 (b) -3 (c) 2
b
Which is the nearest to 0? (a) 3/4 (b) 15 (c) -5
a
What is the nearest to 1 in -1, -2, 0.2, 40?
0.2
Which is the closest to -0.1? (a) -4 (b) -1 (c) 3 (d) 2/9
d
Which is the nearest to 1.1? (a) 0 (b) -0.5 (c) 5 (d) -4
a
Which is the nearest to -0.1? (a) -5 (b) -4 (c) -1/6
c
Which is the closest to -5? (a) 0 (b) -3 (c) 0.5
b
What is the nearest to 0 in -0.2, 0, -2/7, -3?
0
What is the nearest to -18 in -0.3, 0.64, 1/9?
-0.3
What is the nearest to -15 in 1/6, -2, 0.09, 0.3?
-2
Which is the closest to -52/9? (a) 5 (b) 0.3 (c) 6
b
What is the nearest to -1/3 in -2/15, 1/2, -2/5, -1?
-2/5
Which is the nearest to 3? (a) 4 (b) 5 (c) 7
a
Which is the nearest to -5? (a) -0.4 (b) -2/15 (c) 4/7 (d) -2/13
a
Which is the closest to -0.3? (a) 2/21 (b) -0.1 (c) -19
b
What is the nearest to -13 in -0.2, 2/9, -3?
-3
Which is the nearest to 2/7? (a) -11 (b) 3 (c) 4 (d) 2/11
d
Which is the closest to 1/3? (a) -53 (b) -4.6 (c) -0.4 (d) 1/3
d
Which is the nearest to 1/3? (a) -3 (b) -11 (c) 1 (d) 0.2
d
Which is the closest to 0? (a) 2 (b) 4 (c) -3 (d) 1/5
d
Which is the closest to -2/3? (a) 2/13 (b) -3/2 (c) 2/9
a
Which is the nearest to 1/4? (a) 2/377 (b) 3 (c) -0.4
a
What is the nearest to 1 in 0.2, -4, -6?
0.2
What is the nearest to 6236 in 4, 5, -1?
5
Which is the nearest to -1? (a) 236.3 (b) -2/23 (c) 3
b
Which is the closest to 2/7? (a) 1 (b) 3 (c) -3/2 (d) 0
d
What is the closest to -1/11 in -2/9, -0.12, 34?
-0.12
What is the closest to -34/5 in 3, 1, -1/4?
-1/4
Which is the closest to -5? (a) 1/4 (b) 5 (c) 118
a
Which is the nearest to 21? (a) -5 (b) -3 (c) 0.05 (d) -2/15
c
What is the nearest to -29/2 in 2/15, -1/11, -1/2, 5?
-1/2
Which is the nearest to -0.1? (a) -6 (b) 0.2 (c) 2/15 (d) 5/2
c
What is the nearest to 0.045 in 1/6, -0.1, 1/9, 1?
1/9
Which is the closest to 3? (a) 0.3 (b) 4 (c) 0.5 (d) -17/2
b
What is the nearest to -0.8 in -4, -0.4, 1, 3?
-0.4
What is the nearest to 2 in 5, 0.06, 0, 2?
2
Which is the closest to -0.5? (a) 11 (b) -1/4 (c) 4 (d) 5
b
Which is the nearest to -2/5? (a) -3 (b) 2/1085 (c) -4/7
c
Which is the nearest to 23? (a) -1 (b) 0.1 (c) 22 (d) 1
c
Which is the nearest to -1? (a) 6 (b) -3 (c) -39
b
Which is the closest to -0.5? (a) -1 (b) 2 (c) -2 (d) -2/17
d
Which is the closest to -0.7? (a) -1 (b) 3/7 (c) -0.03 (d) 1/11
a
Which is the closest to 3/11? (a) 1 (b) 5 (c) -2/11
c
Which is the closest to 10/9? (a) 3 (b) 0.01 (c) -1/6
b
What is the nearest to 1/2 in 0, -2, -3674?
0
Which is the closest to -5? (a) 0 (b) -2 (c) -6
c
What is the closest to -2921 in -0.1, -0.5, 1/3?
-0.5
What is the closest to 2/7 in -16, -70, 0.4, 5?
0.4
Which is the nearest to -21? (a) -0.3 (b) 0 (c) 13 (d) 3/5
a
What is the closest to -6 in 0, -3, 3, 5/4?
-3
What is the nearest to -2 in 2/5, 1/10, 2, -29?
1/10
What is the closest to 0.1 in -7/8, 0.1, -2/5, -0.2?
0.1
What is the nearest to -0.2 in 1/4, 0.1, -6, -5?
0.1
Which is the nearest to -1/2? (a) -1 (b) 5 (c) 23 (d) -2/9
d
What is the closest to 6/11 in 2.2, 0.4, 2, 2/7?
0.4
What is the nearest to 0 in -3, -2139, 5?
-3
Which is the closest to -1? (a) -1 (b) 0.3 (c) -46
a
What is the closest to 0.5 in 8, 2, -0.5, -1/4?
-1/4
What is the nearest to -1 in 1/5, -0.06, 10/3?
-0.06
What is the closest to 2/7 in 0.03, -1/3, 1, 4/5?
0.03
Which is the nearest to 0? (a) -6 (b) 1/6 (c) -11/6
b
Which is the closest to -1? (a) 3 (b) 1/5 (c) 1 (d) -10
b
Which is the closest to 3? (a) 63 (b) -0.4 (c) -2/7
c
Which is the closest to -0.4? (a) -0.07 (b) -5 (c) -3 (d) 1
a
What is the closest to 6 in -2/187, 0.2, 2?
2
What is the nearest to -2/11 in 5, 1, 2, -2?
1
What is the closest to 1/11 in -0.04, 3/4, -5?
| {
"pile_set_name": "DM Mathematics"
} |
when 17607 is divided by 30?
27
What is the remainder when 151 is divided by 17?
15
What is the remainder when 651 is divided by 229?
193
What is the remainder when 10792 is divided by 34?
14
Calculate the remainder when 59 is divided by 48.
11
What is the remainder when 588 is divided by 24?
12
What is the remainder when 129 is divided by 126?
3
What is the remainder when 1061 is divided by 263?
9
What is the remainder when 403 is divided by 31?
0
What is the remainder when 154 is divided by 11?
0
Calculate the remainder when 153 is divided by 16.
9
What is the remainder when 2081 is divided by 87?
80
What is the remainder when 1162 is divided by 379?
25
What is the remainder when 608 is divided by 514?
94
What is the remainder when 164 is divided by 115?
49
Calculate the remainder when 205 is divided by 95.
15
What is the remainder when 313 is divided by 172?
141
Calculate the remainder when 568 is divided by 178.
34
Calculate the remainder when 452 is divided by 96.
68
Calculate the remainder when 814 is divided by 12.
10
What is the remainder when 2481 is divided by 413?
3
Calculate the remainder when 349 is divided by 17.
9
What is the remainder when 874 is divided by 6?
4
What is the remainder when 498 is divided by 18?
12
What is the remainder when 381 is divided by 11?
7
What is the remainder when 3815 is divided by 89?
77
What is the remainder when 5630 is divided by 161?
156
What is the remainder when 165 is divided by 25?
15
Calculate the remainder when 458 is divided by 162.
134
Calculate the remainder when 2121 is divided by 118.
115
What is the remainder when 1340 is divided by 84?
80
What is the remainder when 1299 is divided by 16?
3
Calculate the remainder when 294 is divided by 92.
18
What is the remainder when 443 is divided by 43?
13
Calculate the remainder when 975 is divided by 315.
30
Calculate the remainder when 487 is divided by 35.
32
Calculate the remainder when 85 is divided by 38.
9
Calculate the remainder when 355 is divided by 66.
25
Calculate the remainder when 45 is divided by 15.
0
Calculate the remainder when 4877 is divided by 9.
8
What is the remainder when 148 is divided by 12?
4
Calculate the remainder when 81 is divided by 23.
12
Calculate the remainder when 203 is divided by 69.
65
Calculate the remainder when 1199 is divided by 7.
2
What is the remainder when 1860 is divided by 23?
20
Calculate the remainder when 922 is divided by 285.
67
What is the remainder when 16 is divided by 6?
4
What is the remainder when 193 is divided by 54?
31
What is the remainder when 133 is divided by 9?
7
What is the remainder when 231 is divided by 38?
3
Calculate the remainder when 141 is divided by 24.
21
What is the remainder when 9722 is divided by 13?
11
Calculate the remainder when 177 is divided by 15.
12
Calculate the remainder when 446 is divided by 30.
26
Calculate the remainder when 132 is divided by 19.
18
What is the remainder when 36 is divided by 21?
15
What is the remainder when 2414 is divided by 39?
35
What is the remainder when 149 is divided by 55?
39
Calculate the remainder when 1577 is divided by 20.
17
Calculate the remainder when 1915 is divided by 424.
219
What is the remainder when 15 is divided by 4?
3
Calculate the remainder when 179 is divided by 54.
17
Calculate the remainder when 1286 is divided by 34.
28
Calculate the remainder when 2885 is divided by 69.
56
What is the remainder when 627 is divided by 70?
67
Calculate the remainder when 146 is divided by 22.
14
Calculate the remainder when 103 is divided by 40.
23
What is the remainder when 433 is divided by 62?
61
What is the remainder when 1340 is divided by 28?
24
Calculate the remainder when 8519 is divided by 105.
14
Calculate the remainder when 798 is divided by 101.
91
What is the remainder when 391 is divided by 101?
88
Calculate the remainder when 123 is divided by 9.
6
What is the remainder when 306 is divided by 22?
20
Calculate the remainder when 129 is divided by 23.
14
What is the remainder when 425 is divided by 33?
29
What is the remainder when 3947 is divided by 84?
83
What is the remainder when 157 is divided by 16?
13
Calculate the remainder when 102 is divided by 13.
11
Calculate the remainder when 444 is divided by 149.
146
What is the remainder when 124 is divided by 115?
9
What is the remainder when 113 is divided by 23?
21
Calculate the remainder when 54 is divided by 32.
22
What is the remainder when 382 is divided by 26?
18
What is the remainder when 1598 is divided by 41?
40
Calculate the remainder when 2855 is divided by 18.
11
What is the remainder when 1288 is divided by 15?
13
Calculate the remainder when 574 is divided by 163.
85
What is the remainder when 191 is divided by 66?
59
What is the remainder when 83 is divided by 65?
18
Calculate the remainder when 270 is divided by 148.
122
What is the remainder when 697 is divided by 114?
13
Calculate the remainder when 253 is divided by 55.
33
What is the remainder when 8689 is divided by 82?
79
Calculate the remainder when 622 is divided by 42.
34
Calculate the remainder when 611 is divided by 301.
9
Calculate the remainder when 159 is divided by 40.
39
What is the remainder when 133 is divided by 72?
61
What is the remainder when 14806 is divided by 13?
12
What is the remainder when 8315 is divided by 66?
65
Calculate the remainder when 168 is divided by 84.
0
Calculate the remainder when 3626 is divided by 117.
116
Calculate the remainder when 272 is divided by 47.
37
Calculate the remainder when 1761 is divided by 240.
81
What is the remainder when 1746 is divided by 125?
121
Calculate the remainder when 784 is divided by 232.
88
Calculate the remainder when 248 is divided by 23.
18
Calculate the remainder when 3130 is divided by 35.
15
Calculate the remainder when 2555 is divided by 3.
2
Calculate the remainder when 79 is divided by 11.
2
What is the remainder when 837 is divided by 107?
88
What is the remainder when 2149 is divided by 9?
7
Calculate the remainder when 224 is divided by 5.
4
Calculate the remainder when 460 is divided by 2.
0
What is the remainder when 40 is divided by 32?
8
Calculate the remainder when 283 is divided by 11.
8
Calculate the remainder when 137 is divided by 126.
11
Calculate the remainder when 66 is divided by 19.
9
Calculate the remainder when 1701 is divided by 190.
181
What is the remainder when 4072 is divided by 73?
57
What is the remainder when 133 is divided by 74?
59
What is the remainder when 626 is divided by 229?
168
What is the remainder when 1983 is divided by 16?
15
What is the remainder when 189 is divided by 4?
1
What is the remainder when 34 is divided by 19?
15
Calculate the remainder when 677 is divided by 8.
5
Calculate the remainder when 448 is divided by 50.
48
What is the remainder when 4342 is divided by 79?
76
What is the remainder when 389 is divided by 7?
4
Calculate the remainder when 4270 is divided by 25.
20
What is the remainder when 2900 is divided by 117?
92
Calculate the remainder when 104 is divided by 37.
30
What is the remainder when 321 is divided by 6?
3
What is the remainder when 50 is divided by 13?
11
Calculate the remainder when 1757 is divided by 28.
21
What is the remainder when 592 is divided by 25?
17
What is the remainder when 208 is divided by 96?
16
Calculate the remainder when 815 is divided by 16.
15
What is the remainder when 207 is divided by 75?
57
Calculate the remainder when 335 is divided by 7.
6
What is the remainder when 1152 is divided by 5?
2
What is the remainder when 112 is divided by 9?
4
Calculate the remainder when 245 is divided by 36.
29
What is the remainder when 4143 is divided by 74?
73
Calculate the remainder when 159 is divided by 40.
39
What is the remainder when 30815 is divided by 19?
16
What is the remainder when 67 is divided by 34?
33
Calculate the remainder when 5 is divided by 2.
1
What is the remainder when 245 is divided by 1?
0
Calculate the remainder when 1876 is divided by 468.
4
What is the remainder when 4452 is divided by 33?
30
Calculate the remainder when 284 is divided by 13.
11
Calculate the remainder when 1329 is divided by 207.
87
Calculate the remainder when 101 is divided by 49.
3
What is the remainder when 3585 is divi | {
"pile_set_name": "DM Mathematics"
} |
714.
2, 3, 1619
List the prime factors of 859.
859
List the prime factors of 493.
17, 29
List the prime factors of 2131.
2131
List the prime factors of 2267.
2267
What are the prime factors of 42474?
2, 3, 7079
What are the prime factors of 15777?
3, 1753
List the prime factors of 57705.
3, 5, 3847
What are the prime factors of 850?
2, 5, 17
What are the prime factors of 6654?
2, 3, 1109
What are the prime factors of 1304?
2, 163
List the prime factors of 306.
2, 3, 17
List the prime factors of 644.
2, 7, 23
List the prime factors of 116.
2, 29
List the prime factors of 89603.
89603
List the prime factors of 40179.
3, 59, 227
What are the prime factors of 6069?
3, 7, 17
What are the prime factors of 794?
2, 397
What are the prime factors of 5056?
2, 79
List the prime factors of 18952.
2, 23, 103
What are the prime factors of 3607?
3607
List the prime factors of 2019.
3, 673
List the prime factors of 28069.
28069
What are the prime factors of 9149?
7, 1307
List the prime factors of 264.
2, 3, 11
List the prime factors of 10103.
10103
List the prime factors of 53209.
13, 4093
What are the prime factors of 14746?
2, 73, 101
List the prime factors of 45480.
2, 3, 5, 379
List the prime factors of 394.
2, 197
List the prime factors of 2240.
2, 5, 7
List the prime factors of 806.
2, 13, 31
List the prime factors of 27233.
113, 241
List the prime factors of 23555.
5, 7, 673
List the prime factors of 1347.
3, 449
What are the prime factors of 4148?
2, 17, 61
What are the prime factors of 5013?
3, 557
What are the prime factors of 733?
733
What are the prime factors of 62481?
3, 59, 353
What are the prime factors of 1261?
13, 97
List the prime factors of 35694.
2, 3, 661
What are the prime factors of 44403?
3, 19, 41
What are the prime factors of 3178?
2, 7, 227
List the prime factors of 642.
2, 3, 107
List the prime factors of 565.
5, 113
What are the prime factors of 40226?
2, 20113
List the prime factors of 539.
7, 11
What are the prime factors of 29042?
2, 13, 1117
List the prime factors of 271.
271
List the prime factors of 761.
761
List the prime factors of 2612.
2, 653
List the prime factors of 1134.
2, 3, 7
What are the prime factors of 6739?
23, 293
What are the prime factors of 1766?
2, 883
What are the prime factors of 6765?
3, 5, 11, 41
What are the prime factors of 110580?
2, 3, 5, 19, 97
List the prime factors of 1006.
2, 503
List the prime factors of 2528.
2, 79
What are the prime factors of 19094?
2, 9547
List the prime factors of 6404.
2, 1601
List the prime factors of 2431.
11, 13, 17
List the prime factors of 2914.
2, 31, 47
What are the prime factors of 773?
773
List the prime factors of 32874.
2, 3, 5479
List the prime factors of 358.
2, 179
List the prime factors of 1275.
3, 5, 17
List the prime factors of 76274.
2, 11, 3467
What are the prime factors of 1116?
2, 3, 31
What are the prime factors of 50305?
5, 10061
List the prime factors of 869.
11, 79
List the prime factors of 65892.
2, 3, 17, 19
List the prime factors of 17335.
5, 3467
List the prime factors of 1392.
2, 3, 29
What are the prime factors of 1080?
2, 3, 5
What are the prime factors of 335?
5, 67
List the prime factors of 43220.
2, 5, 2161
What are the prime factors of 2264?
2, 283
List the prime factors of 1945.
5, 389
What are the prime factors of 73457?
17, 29, 149
List the prime factors of 91.
7, 13
List the prime factors of 67570.
2, 5, 29, 233
List the prime factors of 101119.
101119
What are the prime factors of 12123?
3, 449
What are the prime factors of 12369?
3, 7, 19, 31
List the prime factors of 4005.
3, 5, 89
What are the prime factors of 1239?
3, 7, 59
List the prime factors of 65.
5, 13
List the prime factors of 25958.
2, 12979
List the prime factors of 1165.
5, 233
List the prime factors of 986.
2, 17, 29
List the prime factors of 641.
641
What are the prime factors of 28856?
2, 3607
What are the prime factors of 26529?
3, 37, 239
What are the prime factors of 998?
2, 499
What are the prime factors of 897?
3, 13, 23
What are the prime factors of 5953?
5953
List the prime factors of 15884.
2, 11, 19
What are the prime factors of 1038?
2, 3, 173
List the prime factors of 2021.
43, 47
List the prime factors of 46452.
2, 3, 7, 79
List the prime factors of 28928.
2, 113
What are the prime factors of 1796?
2, 449
What are the prime factors of 3468?
2, 3, 17
List the prime factors of 8349.
3, 11, 23
List the prime factors of 3789.
3, 421
List the prime factors of 988.
2, 13, 19
List the prime factors of 12802.
2, 37, 173
What are the prime factors of 118962?
2, 3, 2203
List the prime factors of 961.
31
List the prime factors of 13469.
13469
List the prime factors of 2990.
2, 5, 13, 23
What are the prime factors of 1505?
5, 7, 43
What are the prime factors of 2226?
2, 3, 7, 53
List the prime factors of 1655.
5, 331
What are the prime factors of 599?
599
List the prime factors of 52535.
5, 7, 19, 79
What are the prime factors of 7823?
7823
What are the prime factors of 4069?
13, 313
List the prime factors of 14388.
2, 3, 11, 109
What are the prime factors of 22115?
5, 4423
List the prime factors of 101306.
2, 37
What are the prime factors of 57548?
2, 14387
List the prime factors of 56433.
3, 13, 1447
What are the prime factors of 8580?
2, 3, 5, 11, 13
What are the prime factors of 61919?
11, 13, 433
List the prime factors of 6054.
2, 3, 1009
What are the prime factors of 245?
5, 7
What are the prime factors of 23514?
2, 3, 3919
List the prime factors of 441.
3, 7
List the prime factors of 98008.
2, 12251
List the prime factors of 116427.
3, 197
What are the prime factors of 2315?
5, 463
List the prime factors of 41757.
3, 31, 449
List the prime factors of 216.
2, 3
List the prime factors of 911.
911
What are the prime factors of 5594?
2, 2797
What are the prime factors of 1480?
2, 5, 37
What are the prime factors of 8136?
2, 3, 113
What are the prime factors of 12811?
23, 557
List the prime factors of 17287.
59, 293
List the prime factors of 9849.
3, 7, 67
List the prime factors of 578.
2, 17
What are the prime factors of 14499?
3, 179
What are the prime factors of 1107?
3, 41
List the prime factors of 1249.
1249
List the prime factors of 4215.
3, 5, 281
What are the prime factors of 6762?
2, 3, 7, 23
What are the prime factors of 161563?
161563
List the prime factors of 30277.
13, 17, 137
What are the prime factors of 40261?
13, 19, 163
What are the prime factors of 4810?
2, 5, 13, 37
What are the prime factors of 3771?
3, 419
What are the prime factors of 4077?
3, 151
What are the prime factors of 53326?
2, 7, 13, 293
List the prime factors of 11079.
3, 1231
What are the prime factors of 42396?
2, 3, 3533
What are the prime factors of 8397?
3, 311
What are the prime factors of 3116?
2, 19, 41
List the prime factors of 9259.
47, 197
List the prime factors of 99707.
99707
What are the prime factors of 6562?
2, 17, 193
List the prime factors of 9345.
3, 5, 7, 89
What are the prime factors of 168944?
2, 10559
What are the prime factors of 5232?
2, 3, 109
What are the prime factors of 4820?
2, 5, 241
What are the prime factors of 30350?
2, 5, 607
What are the prime factors of 14597?
11, 1327
List the prime factors of 8538.
2, 3, 1423
List the prime factors of 782.
2, 17, 23
List the prime factors of 629.
17, 37
List the prime factors of 4245.
3, 5, 283
List the prime factors of 17213.
7, 2459
List the prime factors of 515.
5, 103
List the prime factors of 5384.
2, 673
List the prime factors of 878.
2, 439
What are the prime factors of 3945?
3, 5, 263
What are the prime factors of 183595?
5, 73, 503
What are the prime factors of 1161?
3, 43
What are the prime factors of 10191?
3, 43, 79
List the prime factors of 21004.
2, 59, 89
List the prime factors of 11048.
2, 1381
List the prime factors of 418.
2, 11, 19
List the prime factors of 3921.
3, 1307
List the prime factors of 10334.
2, 5167
List the prime factors of 822.
2, 3, 137
What are the prime factors of 364?
2, 7, 13
What are the prime factors of 903?
3, 7, 43
What are the prime factors of 1985?
5, 397
What are the prime factors of 20226?
2, 3, 3371
What are the prime factors of 4961?
11, 41
What are the prime factors of 45029?
37, 1217
List the prime factors of 160.
2, 5
What are the prime factors of 12 | {
"pile_set_name": "DM Mathematics"
} |
1.81126475
What is 45/8 of a gram in milligrams?
5625
What is three fifths of a milligram in micrograms?
600
How many decades are there in 800.692 centuries?
8006.92
How many litres are there in 7112.272ml?
7.112272
Convert 94.00887l to millilitres.
94008.87
How many litres are there in 3.606418ml?
0.003606418
How many months are there in 372365.4 years?
4468384.8
What is 1/64 of a kilogram in milligrams?
15625
Convert 39628.63 weeks to minutes.
399456590.4
How many grams are there in 20407.47t?
20407470000
How many millimeters are there in three fifths of a centimeter?
6
What is 8317.6 hours in milliseconds?
29943360000
What is 5.567281 tonnes in grams?
5567281
How many days are there in 27.794772ns?
0.00000000000032169875
What is 3620.167 nanometers in micrometers?
3.620167
How many nanoseconds are there in 14.78706ms?
14787060
What is 14/9 of a hour in seconds?
5600
Convert 6.975167 seconds to milliseconds.
6975.167
How many millilitres are there in 46/5 of a litre?
9200
What is 805.789 milliseconds in seconds?
0.805789
How many millilitres are there in 1/4 of a litre?
250
How many millilitres are there in fourty-four fifths of a litre?
8800
How many micrometers are there in 29/2 of a millimeter?
14500
How many milliseconds are there in 6738.632s?
6738632
Convert 392.076 centimeters to kilometers.
0.00392076
What is 47.01162km in micrometers?
47011620000
How many meters are there in 74.68935 nanometers?
0.00000007468935
Convert 1966.872 months to decades.
16.3906
What is 45/8 of a gram in milligrams?
5625
How many grams are there in 3/5 of a kilogram?
600
How many nanograms are there in 25/2 of a microgram?
12500
Convert 0.8524525 centuries to millennia.
0.08524525
How many seconds are there in 29/6 of a minute?
290
What is 3/25 of a millisecond in microseconds?
120
How many milligrams are there in 1/10 of a kilogram?
100000
How many millilitres are there in 21/2 of a litre?
10500
How many millimeters are there in 1/5 of a centimeter?
2
What is 37/2 of a litre in millilitres?
18500
What is 54/5 of a litre in millilitres?
10800
How many millilitres are there in 7/2 of a litre?
3500
How many litres are there in 9.063156ml?
0.009063156
Convert 0.3648127 centimeters to micrometers.
3648.127
Convert 614.914 minutes to nanoseconds.
36894840000000
Convert 0.6532836 months to millennia.
0.0000544403
What is 588.0645 litres in millilitres?
588064.5
What is eleven halves of a micrometer in nanometers?
5500
What is twenty-one quarters of a century in months?
6300
How many centimeters are there in three fifths of a kilometer?
60000
How many grams are there in twenty-five quarters of a kilogram?
6250
How many centimeters are there in 6/5 of a meter?
120
Convert 35.46287 meters to nanometers.
35462870000
How many years are there in 0.8195003 centuries?
81.95003
Convert 189781.62 hours to days.
7907.5675
What is 23909.3 milligrams in kilograms?
0.0239093
What is 51/2 of a millennium in centuries?
255
What is 1/60 of a hour in seconds?
60
How many millilitres are there in 3/25 of a litre?
120
How many minutes are there in 4296.189 weeks?
43305585.12
What is eleven eighths of a millennium in years?
1375
What is 7379.764nm in kilometers?
0.000000007379764
What is 5/8 of a centimeter in micrometers?
6250
How many decades are there in 102464.9 centuries?
1024649
How many centimeters are there in twenty-one halves of a meter?
1050
What is 74/5 of a millimeter in micrometers?
14800
What is eighty-one halves of a meter in centimeters?
4050
How many centimeters are there in 49.22837 nanometers?
0.000004922837
Convert 467.001171 minutes to weeks.
0.04632948125
What is 0.5737213nm in micrometers?
0.0005737213
How many centuries are there in 43/2 of a millennium?
215
How many millilitres are there in 1/20 of a litre?
50
What is eight thirds of a decade in months?
320
How many years are there in fourty-two fifths of a century?
840
How many centimeters are there in one tenth of a kilometer?
10000
How many centimeters are there in 0.2725623 millimeters?
0.02725623
How many millilitres are there in 46/5 of a litre?
9200
What is 58.63436 decades in centuries?
5.863436
How many micrograms are there in one twentieth of a gram?
50000
How many millilitres are there in eighteen fifths of a litre?
3600
What is eighty-seven quarters of a tonne in kilograms?
21750
How many months are there in twenty-one eighths of a century?
3150
What is 1/20 of a gram in micrograms?
50000
Convert 5.807211l to millilitres.
5807.211
Convert 2678.8581 months to millennia.
0.223238175
What is eighteen fifths of a litre in millilitres?
3600
What is seven sixths of a year in months?
14
What is seventeen quarters of a kilogram in grams?
4250
What is 3/5 of a hour in seconds?
2160
Convert 16.01237 days to seconds.
1383468.768
How many micrometers are there in 26/5 of a centimeter?
52000
How many millilitres are there in 6/25 of a litre?
240
How many meters are there in three fifths of a kilometer?
600
What is 12253.49ng in tonnes?
0.00000000001225349
What is 7/4 of a gram in milligrams?
1750
What is 1/4 of a day in minutes?
360
What is 37/2 of a centimeter in millimeters?
185
What is 1/10 of a decade in years?
1
What is seven eighths of a kilometer in meters?
875
How many micrometers are there in thirty-one fifths of a centimeter?
62000
What is 3/50 of a gram in milligrams?
60
How many months are there in 81/4 of a century?
24300
How many millennia are there in 0.0820932 centuries?
0.00820932
What is 365033.5 nanometers in centimeters?
0.03650335
How many years are there in 279.45948 months?
23.28829
What is 3/10 of a centimeter in millimeters?
3
How many millimeters are there in seven halves of a centimeter?
35
What is 11/4 of a milligram in micrograms?
2750
What is thirty-seven halves of a milligram in micrograms?
18500
What is one quarter of a litre in millilitres?
250
Convert 2.391258 centimeters to kilometers.
0.00002391258
How many millilitres are there in 5/8 of a litre?
625
Convert 45.06mg to micrograms.
45060
What is four sevenths of a week in hours?
96
What is 17637.11km in micrometers?
17637110000000
How many grams are there in 75250.61 micrograms?
0.07525061
Convert 2.5072326 months to decades.
0.020893605
How many seconds are there in 3/40 of a day?
6480
What is 1/15 of a minute in seconds?
4
How many litres are there in 87.20043 millilitres?
0.08720043
How many millennia are there in 5.186216 centuries?
0.5186216
How many micrograms are there in 836203.2 kilograms?
836203200000000
How many microseconds are there in 3.997287 hours?
14390233200
How many seconds are there in three tenths of a hour?
1080
What is one sixteenth of a century in months?
75
Convert 7433.562ug to tonnes.
0.000000007433562
Convert 94507.54 millilitres to litres.
94.50754
Convert 42.11062ug to nanograms.
42110.62
How many nanograms are there in twenty-nine halves of a microgram?
14500
What is 3/5 of a centimeter in micrometers?
6000
What is 0.179387 hours in seconds?
645.7932
What is 4.530367km in centimeters?
453036.7
What is eleven eighths of a litre in millilitres?
1375
What is 3/40 of a micrometer in nanometers?
75
How many litres are there in 3.99644ml?
0.00399644
How many weeks are there in 92.213436 hours?
0.5488895
Convert 14416.8066 microseconds to weeks.
0.0000000238373125
What is 2.521316 centuries in months?
3025.5792
Convert 0.4379413us to milliseconds.
0.0004379413
What is 241016.2 microseconds in milliseconds?
241.0162
What is 378.9252 weeks in microseconds?
229173960960000
How many meters are there in 490.2945cm?
4.902945
What is 7/2 of a kilometer in meters?
3500
How many nanograms are there in 93.30847 milligrams?
93308470
How many milligrams are there in three tenths of a gram?
300
How many millilitres are there in 6/5 of a litre?
1200
What is 8.372402 tonnes in nanograms?
8372402000000000
What is 0.7005126 litres in millilitres?
700.5126
What is fourty-one halves of a meter in centimeters?
2050
What is 6/5 of a kilogram in grams?
1200
How many millilitres are there in one fifth of a litre?
200
What is 27376.134 months in years?
2281.3445
How many millimeters are there in three fifths of a meter?
600
What is 25133.67 decades in centuries?
2513.367
What is 125273.3 weeks in days?
876913.1
What i | {
"pile_set_name": "DM Mathematics"
} |
76?
-121607
In base 4, what is -10 - -13111020331?
13111020321
In base 15, what is 1cce982 - 4?
1cce97d
In base 5, what is 2002 - -200323433?
200330440
In base 5, what is -20213132410 - -2?
-20213132403
In base 15, what is 15128 - -b8?
151e1
In base 9, what is 4850174 - -17?
4850202
In base 3, what is 1 - 100200120220211?
-100200120220210
In base 5, what is -2103014344 - 0?
-2103014344
In base 7, what is 1225614 + -515?
1225066
In base 8, what is 13 - 4024152?
-4024137
In base 5, what is -4140 + -24433?
-34123
In base 16, what is b6f2 - -2d?
b71f
In base 8, what is -24 - -73602740?
73602714
In base 11, what is 0 - -42729318?
42729318
In base 9, what is -133 + 1317711?
1317567
In base 10, what is -2204 - -1232?
-972
In base 14, what is -2a35772 + 3?
-2a3576d
In base 4, what is -3313032121113 + -1?
-3313032121120
In base 12, what is -179bb14 - -a?
-179bb06
In base 11, what is -5651a + -373?
-56892
In base 13, what is 6c60489 + 2?
6c6048b
In base 6, what is -10541340 - 34?
-10541414
In base 15, what is e982 + 2a5?
ec37
In base 10, what is 48 + -553045?
-552997
In base 9, what is 33127 + -304?
32723
In base 4, what is -1122302232210 + 11?
-1122302232133
In base 16, what is -17dd - 553?
-1d30
In base 13, what is -27167 + 1497?
-259a0
In base 5, what is 130220031 + -2?
130220024
In base 10, what is 3977972 - -19?
3977991
In base 12, what is 295919a + 3?
29591a1
In base 3, what is -1220011222202 - 20121?
-1220012020100
In base 11, what is -1a036a85 + 3?
-1a036a82
In base 10, what is 4 - -19766555?
19766559
In base 15, what is -55 + 6011d4?
60117e
In base 5, what is 1024 - 214204000?
-214202421
In base 12, what is 926b006 - -19?
926b023
In base 3, what is 1100 - -110201021122222?
110201021201022
In base 7, what is 100256636 - -405?
100260344
In base 7, what is -325 - -1111325?
1111000
In base 9, what is 2 + -203627426?
-203627424
In base 9, what is -4 + 416757?
416753
In base 7, what is -42464344 + 20?
-42464324
In base 6, what is -44431513 - 2?
-44431515
In base 15, what is -b7469 - 3ca?
-b7844
In base 2, what is 1111011010011101 + -10100100?
1111010111111001
In base 4, what is 112301013 + 223?
112301302
In base 4, what is -30 - -3311103022?
3311102332
In base 5, what is 30 - -30041101103?
30041101133
In base 8, what is 2 - 704752216?
-704752214
In base 3, what is 12121001 + -1222011?
10121220
In base 14, what is 769c + -5a50?
1a4c
In base 3, what is 12100220120211 + -122?
12100220120012
In base 7, what is 342 + -2016640?
-2016265
In base 9, what is -7 - -182756?
182748
In base 4, what is -1121210222 - 2?
-1121210230
In base 14, what is -10b - -5b8b?
5a80
In base 5, what is -2 - -213240421?
213240414
In base 7, what is -546 + 2450634?
2450055
In base 9, what is -1705 + -11840?
-13645
In base 7, what is -6266526064 - -3?
-6266526061
In base 2, what is 1110011001001101 + -11101111?
1110010101011110
In base 11, what is -26953283 + 4?
-2695327a
In base 14, what is 27d7 + 6d5c?
9755
In base 10, what is -84507 - 66?
-84573
In base 13, what is -846038b3 - -2?
-846038b1
In base 5, what is -2040341313034 + 0?
-2040341313034
In base 3, what is 0 + -111010211102?
-111010211102
In base 7, what is 136306123 - 40?
136306053
In base 5, what is 1343031220322 - -11?
1343031220333
In base 4, what is -133133 + 213101002?
212301203
In base 4, what is 320 + -1102232200?
-1102231220
In base 16, what is 1 + 1d840f?
1d8410
In base 11, what is -73759 - 14?
-73772
In base 12, what is -3 + -224859b6?
-224859b9
In base 13, what is 12a1 - 905?
699
In base 3, what is -22 + -202200002200?
-202200002222
In base 10, what is -768082842 - -1?
-768082841
In base 5, what is -231212 + -11134?
-242401
In base 8, what is 2734 - -316?
3252
In base 14, what is 4d4 - 4a?
488
In base 9, what is -4437 + -4052?
-8500
In base 7, what is -510235 + -55?
-510323
In base 7, what is 421 - -24113213?
24113634
In base 10, what is 689 - -216?
905
In base 4, what is -3223 + 1021103211?
1021033322
In base 11, what is 5 - -403a?
4044
In base 16, what is -4 - 990e02?
-990e06
In base 9, what is -48806685 + 2?
-48806683
In base 5, what is 124 + -112410234?
-112410110
In base 11, what is 51372 + -1362?
50010
In base 8, what is 24747 - 1431?
23316
In base 2, what is -10010000 + -1011010011011101000000?
-1011010011011111010000
In base 3, what is -10011121010221 + 12221?
-10011120221000
In base 15, what is -5 - 292d2c7?
-292d2cc
In base 13, what is -136 - -5a867?
5a731
In base 6, what is -4 + 221413440?
221413432
In base 9, what is -1 - -17204250?
17204248
In base 10, what is 3148 + -12548?
-9400
In base 5, what is 302034330 - 4?
302034321
In base 4, what is -102023 + 11233313?
11131230
In base 14, what is -4581db - -18?
-4581c3
In base 14, what is 3220 - 44d?
2bb1
In base 6, what is -210 - 333543052?
-333543302
In base 10, what is 659533 - 39?
659494
In base 8, what is -121352061 - -2?
-121352057
In base 5, what is 232224322 - 2?
232224320
In base 7, what is -162441 - -30046?
-132362
In base 10, what is 27163 - -844?
28007
In base 14, what is -cab92 + 4ad?
-ca6c3
In base 5, what is 20 + -1422040142?
-1422040122
In base 13, what is -3a57b5 + -121?
-3a5906
In base 9, what is 1331728 - -17?
1331746
In base 4, what is -312 - -11131321?
11131003
In base 13, what is -4 - -30c4c73?
30c4c6c
In base 16, what is -28 - -2dbcc?
2dba4
In base 8, what is 4 - 30667571?
-30667565
In base 16, what is -1b2cf6 + 7?
-1b2cef
In base 13, what is 0 - aa78389?
-aa78389
In base 3, what is 1100001122102 + -11?
1100001122021
In base 10, what is 6 + -35098977?
-35098971
In base 2, what is -1111111001 + 101011011000110?
101001011001101
In base 5, what is 30 - 321113302?
-321113222
In base 13, what is -3338 - 250?
-3588
In base 6, what is 14204332 + -1005?
14203323
In base 10, what is -245 + 66215?
65970
In base 10, what is -405093 - -5?
-405088
In base 10, what is 1 + 116838842?
116838843
In base 16, what is -4 + 5aa8ce?
5aa8ca
In base 16, what is 1fb0b71 + 0?
1fb0b71
In base 3, what is -11 + -222102220200021?
-222102220200102
In base 11, what is -2a - -a8a176?
a8a147
In base 10, what is 1852496 - -92?
1852588
In base 12, what is -50a2 - -1379?
-3925
In base 11, what is 11 - -8334a7?
833508
In base 14, what is 11a9a14 + -1?
11a9a13
In base 4, what is 3111131 - -2101?
3113232
In base 3, what is 200122210002120 + 100?
200122210002220
In base 11, what is -126a3 + -2587?
-1517a
In base 10, what is 2568 + -116696?
-114128
In base 9, what is 2 - -5470788?
5470801
In base 14, what is 170da77 - -5?
170da7c
In base 6, what is -55515342 + -3100?
-55522442
In base 16, what is 9 - -1d169?
1d172
In base 16, what is 6d07 - -1a3?
6eaa
In base 9, what is -17 - -77854?
77836
In base 8, what is -1643 - 340024?
-341667
In base 15, what is -10 + db6cc?
db6bc
In base 14, what is 1 - ac5441?
-ac5440
In base 7, what is 6 + -32162306?
-32162300
In base 12, what is -21 + -264b34?
-264b55
In base 3, what is 2102220 + 12121210?
22001200
In base 10, what is -272 - 48389?
-48661
In base 8, what is 143367 - 671?
142476
In base 13, what is -3a69508 + 18?
-3a694c0
In base 4, what is -10 + -323212221302?
-323212221312
In base 3, what is -220122200220010020 + 12?
-220122200220010001
In base 8, what is 5 - -43101640?
43101645
In base 12, what is -81b32 - 210b?
-84041
In base 13, what is -5 + -23822b?
-238233
In base 12, what is 84093 - -14b?
84222
In base 9, what is 44417 - 2860?
41447
In base 10, what is 9018 + 73397?
82415
In base 5, what is -31 - -111034304?
111034223
In base 5, what is 144212 + -4321?
134341
In base 3, what is -1000 + 10210121010122?
10210121002122
In base 4, what is 203112302332310 + 0?
203112302332310
In base 16, what is 9a - -1916c?
19206
In base 13, what is 4978aa9 + 3?
4978aac
In base 8, what is 3605 + 433033?
436640
In base 5, what is 1310322300 - 222?
1310322023
In base 6, what is 5 + -11222324?
-11222315
In base 16, what is 9a2 + -b33a?
-a998
In base 16, what is 5 + -3589c2?
-3589bd
In base 4, what is -10211223 - -1032?
-10210131
In base 10, what is -10 - -4994935?
4994925
In base 2, what is 10110010111001101 + 1111110110000?
11000010101111101
In base 14, what is -12bdb8 - -44a?
-12b96c
In base 6, what is 3 + 33054332200?
33054332203
In base 8, what is 13141600 + 25?
13141625
In base 8, what is 5132525312 - 0?
5132525312
In base 12, what is - | {
"pile_set_name": "DM Mathematics"
} |
?
True
Suppose 64 = 5*s - s. Suppose 0 = 11*b - s*b + 145. Is b a multiple of 16?
False
Let p = 286 - -44. Is 33 a factor of p?
True
Let y = 1287 + -1257. Is y a multiple of 2?
True
Let k = 220 - 202. Is k a multiple of 7?
False
Let f = 147 - 102. Suppose -3*p - 3*x + 22 = -7*x, 2 = 5*p + 2*x. Suppose 3*g + p*g = f. Does 3 divide g?
True
Let l(o) = -o**3 + 11*o**2 - 4. Let x be l(11). Let c = 13 + x. Let y(d) = d**3 - 10*d**2 + 12*d - 4. Does 23 divide y(c)?
True
Let n be 0 + (0 - -1)*-10. Let x be (-4)/((-1)/n*-4). Is 632/40 + (-8)/x a multiple of 15?
True
Let z be (-6 - -6) + (-6)/(-2). Suppose 202 + 53 = z*p. Let o = p + -49. Is o a multiple of 12?
True
Suppose -3*k - 2050 = -4*q - 657, -q + 4*k + 345 = 0. Is 4 a factor of q?
False
Let w = -413 + 488. Is 25 a factor of w?
True
Let d be 70/22 + (-4)/22. Suppose 0 = d*o - 6*o. Suppose o*h + 5*h = 175. Does 29 divide h?
False
Suppose 2*z = -h + 431, z = -3*h - 0*z + 1278. Is 18 a factor of h?
False
Let y(c) = c**3 + 10*c**2 - 8*c + 2. Suppose 10 + 0 = -b. Is 20 a factor of y(b)?
False
Let x = 416 - 367. Is x a multiple of 5?
False
Suppose h - 3*v - 4 + 2 = 0, 0 = 5*v. Suppose -h*d = -g - 9, -2*g - 6*d - 26 = -2*d. Let q = 38 + g. Is 9 a factor of q?
True
Suppose 0 = -7*u + 6*u + 4. Suppose 5*w + 13 = r, 2*r + 2*r - 20 = u*w. Suppose -23 = -5*t - r. Is t a multiple of 4?
True
Suppose 3548 - 767 = 3*f. Does 13 divide f?
False
Let v be 0 + (-3)/4*-4. Suppose r - 28 = -v*m - 1, -3*m + 42 = 2*r. Is 5 a factor of r?
True
Suppose -5*k = -16 + 36. Let x(f) = 3*f**2 + 8*f + 2. Does 18 divide x(k)?
True
Suppose -133 - 617 = -3*u. Suppose 2*y = -8*y + u. Is 25 a factor of y?
True
Let u(m) be the second derivative of 5*m**3/3 - 7*m**2 + 20*m. Does 19 divide u(9)?
True
Let n be (13 - 10)/(3/52). Let s = n - 37. Is 2*s*(-1)/(-2) a multiple of 15?
True
Suppose 3*b = -5*v + 57, 5*b + 13 = 5*v - 12. Suppose v*i + 5*h = 4*i + 70, -2*h - 62 = -3*i. Is 8 a factor of i?
False
Let v(s) = -27*s + 1. Let z(u) = -13*u. Let g(f) = -2*v(f) + 5*z(f). Is g(-4) a multiple of 21?
True
Let r = -88 - -193. Does 15 divide r?
True
Suppose 2*o = 2*w - 586, -w - w = -4*o - 592. Does 29 divide w?
True
Let z(k) = -k**3 + 12*k**2 - 6*k - 13. Let s be z(11). Let a be (35/21)/(2/s). Let l = a + -7. Is 14 a factor of l?
True
Let w = 1146 - 165. Is 91 a factor of w?
False
Suppose -p - 2*t + 22 = -3*t, 8 = -4*t. Suppose 0 = -w + p - 15. Does 15 divide (-76)/(-5) - 1/w?
True
Suppose 2*g - 5*j - 939 = 0, -2*g + 915 = -5*j + 8*j. Is 21 a factor of g?
True
Let z = 54 + -36. Suppose 6*p + 20 = 7*p. Suppose o - 4*n - z = 2, 0 = -4*n + p. Does 13 divide o?
False
Suppose 0*u = -u + r + 2, 0 = 3*r - 6. Suppose -4*j = -u*v + 88, 4*v - 80 - 32 = -2*j. Is v a multiple of 10?
False
Does 124 divide 15/(-12)*(-11 - -15) + 3973?
True
Let m = 4 - 0. Let t be (m/(-20) + 1)*5. Suppose 5*g = -2*i + 317, 4*g + t*i + i - 257 = 0. Is g a multiple of 21?
True
Let h be ((-24)/10)/((1 - 0)/(-25)). Let g = h - 8. Does 8 divide g?
False
Suppose 2*b - 942 = -2*l, 3*l - 367 - 106 = -b. Does 10 divide b?
True
Suppose 0 = -16*s + 44*s - 10332. Does 8 divide s?
False
Let b be 96*(24/(-9) - -3). Let v = b + 61. Is v a multiple of 31?
True
Let o(l) = -l**2 - 4*l + 9. Let h be o(-7). Let c = h + 40. Is c a multiple of 14?
True
Suppose -216 = -75*j + 69*j. Does 6 divide j?
True
Suppose -2*y = j - 14, -3*j - 4*y = 12 - 44. Suppose l + 2 = 5*k, -3*l - 3*k + 34 = j. Is l a multiple of 3?
False
Let x(r) = 15*r**2 + 17*r + r**3 - r**2 - 3*r. Does 40 divide x(-9)?
False
Suppose 0*a + 5*a - 10 = 0. Suppose -13 = 3*r + 2*x - 4*x, 5*r = 3*x - 21. Is 13 a factor of (-52*(r + a))/2?
True
Suppose 4*k + 3*f - 9239 = 0, -11*k + 3*f = -13*k + 4615. Is 41 a factor of k?
False
Let s be (-12)/(-24) - 18/(-4). Suppose -c + 10 - s = 0. Suppose c*h - h = 4*b + 80, -b - 50 = -3*h. Is h a multiple of 5?
True
Suppose 13*j = 11*j + 3*l + 2507, j - 1236 = -2*l. Is 9 a factor of j?
False
Suppose 3*c = 11*c - 24. Suppose -v + x + 32 = 0, -14*v - c*x + 54 = -12*v. Is v a multiple of 10?
True
Let j(o) = -170*o + 208. Does 106 divide j(-10)?
True
Suppose 2*a - 1 = 7. Suppose a*i + 49 + 7 = 0. Let z(b) = -2*b - 14. Is 14 a factor of z(i)?
True
Suppose 13 + 67 = -4*v. Is 10 a factor of v/(-15) + (-466)/(-6)?
False
Suppose -2*r + 194 = 2*g, 9*r - 7*r - 214 = 3*g. Is 7 a factor of r?
False
Is 17 a factor of (408/2)/(-2 - 72/(-30))?
True
Suppose 3*p - 1597 = q, 4*q = 4*p + 6*q - 2136. Is p a multiple of 7?
False
Let w(n) = 47*n**2 + 1. Suppose f + 2*f - 54 = 0. Let u be (-2)/(-7) - f/14. Is 16 a factor of w(u)?
True
Let y = -2046 - -2470. Is 19 a factor of y?
False
Suppose -2*g + 7*g = 5. Let z be g*(-5)/(25/(-5)). Does 6 divide 6 + (z - -3) + -4?
True
Let w = -234 - -358. Is 12 a factor of 4/(-2 - (-256)/w)?
False
Suppose 3 = 4*b - 3*i - 2, -7 = -5*b + 3*i. Suppose b*y + 423 = 5*q, y - 324 = -4*q - y. Is 15 a factor of q?
False
Let l = -773 - -914. Is 3 a factor of l?
True
Is 28 a factor of 4/4 + -5 + (230 - 3)?
False
Let m(g) = -g**3 + 7*g**2 + 3*g - 14. Let w be (14 - 2)/(-7 + 9). Is m(w) a multiple of 16?
False
Suppose -3*u - 6*a = -4*a - 25, -13 = -2*u - 5*a. Suppose -3*w = -2*f - 196, -320 = -u*w + 4*w + 5*f. Does 17 divide w?
True
Suppose -6*k + 15 = -3. Suppose 64 = k*u - 119. Is 21 a factor of u?
False
Let b(j) = -2*j**3 - 5*j**2 + 12*j + 6. Let p be b(-8). Suppose 0 = -3*g + p - 110. Is g a multiple of 24?
True
Suppose 3 = f + 7. Is (-9 + 0)*(f - 2/(-6)) a multiple of 33?
True
Suppose 197 + 41 = -4*l - g, 4*l = 3*g - 230. Let a = 119 + l. Is 10 a factor of a?
True
Suppose -x - 33*y + 37*y = 7, 2*x + 7 = y. Let s = -1 + -1. Is s/x + (-49)/(-3) a multiple of 7?
False
Let h(g) = 141*g - 49. Is 22 a factor of h(3)?
True
Suppose 37*j - 411 = 40*j. Let t = -78 - j. Does 12 divide t?
False
Is ((2415/(-30))/((-1)/2))/1 a multiple of 7?
True
Let i = -123 - -293. Does 5 divide i?
True
Let w(z) = -z**2 - 4*z + 8. Let j be w(-4). Is 29 a factor of 965/20 + (30/j)/5?
False
Let d = -109 + 220. Is d a multiple of 5?
False
Let t(z) = -13 - 3*z - 4*z - 15*z. Let b be t(-4). Let r = b - 51. Is r a multiple of 14?
False
Let m(d) = 29*d + 8. Is 19 a factor of m(3)?
True
Let k(c) = 4*c + 76. Is k(9) a multiple of 48?
False
Let w(l) = 13*l**2 + 2*l + 1. Is 12 a factor of w(-6)?
False
Let c = 358 - 292. Is 11 a factor of c?
True
Let o = 13 - 21. Let h be 7/28 + (-54)/o. Suppose 0 = -h*s + 3*s + 32. Is s even?
True
Suppose -15*u = -21*u + 384. Is 16 a factor of u?
True
Let p = 7397 + -3137. Is 41 a factor of p?
False
Suppose 4*i + h = -0*h + 57, 3*i = -3*h + 36. Let f(a) = a + 24. Let k be f(-8). Suppose i*s - k*s = -39. Is 13 a factor of s?
True
Suppose 4*q + 81 = -3*f - 0*f, 33 = -2*q - 3*f. Let k = -25 - q. Is 14 a factor of k/(2/(-88)*2)?
False
Suppose 4*x = -2*x - 1302. Let v = 339 + x. Suppose 0 = 4*b - v + 34. Is 22 a factor of b?
True
Suppose -2073 = -3*m + 453. Is m a multiple of 32?
False
Let p(d) = 3*d**2 + 4*d - 4. Let n be ((-36)/(-20))/(6/40). Let w = n + -10. Does 16 divide p(w)?
True
Suppose -4*t + i = 4*i - 337, 5*t - 420 = -5*i. Suppose 0 = t*m - 87*m + 54. Is 5 a factor of m?
False
Suppose 4*y + 6 = 2*v, -2*y + 0*v - 18 = -4*v. Let j(x) = 100*x + 1. Is j(y) a multiple of 38?
False
Let q(j) = 5*j + 57. Does 15 divide q(37)?
False
Suppose 9*f + 1075 = 4*f. Let m = f + 383. Does 28 divide m?
True
Is ((3 - 1) + -891)/(-1) a multiple of 108?
False
Suppose -4*c = -4*l - 2680, 0*l = l - 2. Does 14 divide c?
True
Let i(b) = -10*b - 2*b**2 + 0 - 8*b**2 - 3 + 2 - b**3. Let w be i(-9). Is 8 a factor of 4/w + (-15)/(-2)?
True
Let m(r) = -r**2 + 29*r + 15. Does 27 divide m(27)?
False
Suppose 4*m = 4*u + 804, 4*u = -0*m + m - 192. Is 6 a factor of m?
True
Let n(f) = -2*f - 10. Let d(t) = -t**3 + 9*t**2 + 9*t + 3. Let l be d(10). Let u be n(l). Suppose 5*k = 5*r + 49 + 21, -r + 31 = u*k. Is k a multiple of 9?
True
Let v = -520 - -646. Is v a multiple of 5?
False
Let h be 12/(-8) + (-41)/2. Does 17 divide 11/((-605)/(-10)) - 1118/h?
True
Let b(f) = -1 - f**2 - 6 - 4 - 9*f + 3. Let s be b(-9). Let q(d) = -3*d + 5. Is 5 a factor of q(s)?
False
Suppose 2925 = 24*w - 9*w. Does 22 divide w?
False
Suppose -2*c - 1 = -c - 2*i, -i - 4 = 0. Let o be (-6)/c*2*9. Let y(z) = 4*z + 5. Is y(o) a multiple of 11?
False
Let l(w) be | {
"pile_set_name": "DM Mathematics"
} |
and 69.
69
Let y = -199/118 - 4/295. Suppose -p + 2*n - 48 = -5*p, 0 = -3*p - 4*n + 41. Let i = p - 23/2. What is the common denominator of y and i?
10
Let i = 6731 - 3459735/514. Let m = i + 2835/4112. Calculate the common denominator of 43/10 and m.
80
Calculate the common denominator of (-8)/(-12)*(0 - 34/(-3)) and 38/9.
9
Suppose -2*s + 6*c - 2*c = 22, -2*s - c - 2 = 0. Find the common denominator of 11/18 and 3/s*115/6.
18
Let k(v) be the first derivative of 3*v**2 - 8*v - 11. Calculate the lowest common multiple of (8/5)/(2/10) and k(4).
16
Suppose -5*x + 0*f + 2*f + 12 = 0, 3*x - 8 = 2*f. What is the lowest common multiple of x and (30/(-35))/(((-30)/28)/5)?
4
What is the common denominator of (-13)/((2 + -12)/2) and (9/(-30))/((-2)/76)?
5
Let g = 203041/14 - 14511. Let m = 28817/8 + -3594. Calculate the common denominator of m and g.
56
Let m be -1 + (124/(-18))/(-2). Let w = m + 325/18. Find the common denominator of w and -95/18.
18
Let z be (-6761)/3 - (-8)/(-12). Let a = z + 2275. Calculate the common denominator of a and 273/15*(-10)/16.
24
Suppose -j + 0*j = -9. What is the smallest common multiple of 6 and j?
18
Suppose 0 = 4*n, -3*c + 10 = 2*n - 5. Suppose 16 = -z - c*u, u + 3*u = -16. Calculate the lowest common multiple of (8 + 1 + 0)*2 and z.
36
Let m = 7 - 5. Let u = -4 - -7. Suppose 0 = u*p - 44 + 8. What is the smallest common multiple of m and p?
12
What is the common denominator of 129/18 + 2 + 3 and -19/10?
30
Let f(o) = o**3 - 4*o**2 + 4*o - 3. Let d be f(6). Suppose -5*y = -2*y - d. Find the common denominator of -4 + ((-72)/28 - -3) and y.
7
Let d(o) = o**3 - 6*o**2 - 7*o - 1. Let g be d(7). Let b(w) = 15*w**2 - 3*w - 2. Calculate the lowest common multiple of 8 and b(g).
16
Let t(z) = z**3 + 10*z**2 - 10*z + 7. Let i be t(-11). Calculate the lowest common multiple of 8 and ((-2)/4 + -1)*i.
24
Let u = -124 + 134. Suppose 3*k + 8 = 4*i, 0 = 3*k - 3*i - 0 + 3. What is the smallest common multiple of k and u?
20
Let f be 0/(5/(5/2)). Let h(p) = p**2 + p + 11. Let o be h(f). Suppose -i - o = 3*w, 3*i - 6*i - 13 = 5*w. What is the lowest common multiple of i and 10?
20
Suppose 5*g + 12322 = -4*p, 3*g = 5*p + 2*g + 15388. Let x = p - -12213/4. What is the common denominator of 0 - 18/80*6 and x?
20
Suppose -w + 4 = w. Suppose u + w*b + 2 = -3*b, 2*b = 2*u - 44. What is the smallest common multiple of u and 6?
18
Calculate the least common multiple of 11 and 30/4*(-60)/(-45).
110
Find the common denominator of 76/15 and (9 - 10) + 314/48.
120
Let w(c) = -12 + 4 - c**2 - 11*c - 5. Calculate the lowest common multiple of 6 and w(-9).
30
Let m = 16 + -8. Let x = 13 - m. Suppose -9 - 11 = -x*v. Calculate the lowest common multiple of 2 and v.
4
Suppose -4*z - 4 = -0. Let r = 3 - z. Calculate the lowest common multiple of 3 + (1 - (1 + -1)) and r.
4
Let b(a) = a + 1. Let o be b(-3). What is the smallest common multiple of (2/(-6))/(o/24) and 6?
12
Suppose -26 = 4*z + 3*o, -z + o - 3*o - 9 = 0. Let n = 15 + z. Let y = 2 - -4. What is the smallest common multiple of y and n?
30
Let r = 13/43 + 3629/86. Suppose -64 = -4*c - 4. Find the common denominator of r and ((-20)/(-54))/((-10)/c).
18
Suppose -3*r - 2*r = -10. Let d = 9 - 8. What is the least common multiple of 5 and (d - (-19 - r))/2?
55
Let u = 1001 - 683. Let h = 71/7 - 45/14. Find the common denominator of h and ((-2)/(-60))/((-4)/u).
140
Let f be (1/2)/(84/184776). Let c = 1098 - f. Calculate the common denominator of c and -27.
7
Let r be 2/(-10) + (-4856)/120. Let k = r + 163/6. Calculate the common denominator of k and 43/18.
18
Let i(s) be the third derivative of -s**6/120 + s**5/10 + 3*s**4/8 - s**3/3 - 4*s**2. What is the least common multiple of i(7) and 4?
12
Find the common denominator of -49/10 and 2/7 + (-2385)/924.
220
Let a = 6026 + -96467/16. Calculate the common denominator of a and -49/10.
80
Let l = -6 + 16. What is the lowest common multiple of 6*((-3)/(-9) + 3) and l?
20
Suppose -2*v - 2*b + 0*b + 32 = 0, -2*b - 16 = -2*v. Calculate the lowest common multiple of 2 and v.
12
Let b(m) = 10*m**3 - m**2 + 2*m - 1. Let k be b(1). Find the common denominator of (-670)/(-4)*(-4)/80 and 3 - 1 - (-1)/k.
40
Let w = -133/2750 - 8949343/11000. Let k = w + 809. Let c = 463/190 + 6/95. What is the common denominator of c and k?
8
Let y(u) = -u**3 + 9*u**2 - 8*u - 1. Let g be y(8). Let z be 42/9 + g/(-3). Suppose 64 = z*q - 16. What is the smallest common multiple of 8 and q?
16
What is the common denominator of 91/36 and ((-4)/150*-5)/((-1)/125)?
36
Let s(n) = 15*n - 73. Calculate the lowest common multiple of 11 and s(8).
517
Let o = -67 + 91. Calculate the lowest common multiple of o and 15.
120
Suppose 3*g + 14 = -4. Let k = g - -22. Calculate the least common multiple of 22 and k.
176
Suppose 5*q = q - 8. Calculate the common denominator of 97/4 and 97/q - (-1 - 0).
4
Calculate the common denominator of 49/9 and 40/(-250)*(-170)/4.
45
Suppose -3*f + i = 4*i + 42, 90 = -5*f + 5*i. Let g = f - -43. Let u = g + -18. Calculate the smallest common multiple of u and 9.
9
Let w = 7 + -11. Let c be (-8)/36 + w/(-18). Suppose -f - u + 1 + 4 = c, 5*f = 4*u + 34. Calculate the least common multiple of 14 and f.
42
Suppose b - 12 = 96. Let u = b + -492/5. Calculate the common denominator of u and -63/8.
40
Calculate the common denominator of -95/8 and (-1510)/(-1170) - 4/(-26).
72
Suppose 3*a = 2*m + 8, 0 = 2*a - m - 5 - 1. Calculate the lowest common multiple of a and 7.
28
Suppose 0 = -v + 4 + 4. What is the lowest common multiple of v and 8?
8
Let w = 1 - 0. Calculate the common denominator of 43/3 and (w*2)/((-18)/(-1)).
9
Let j = -2/3617 + 242357/32553. Calculate the common denominator of j and -26/11.
99
Let u = -3 + 6. Calculate the smallest common multiple of (3/(-6))/(3/(-30)) and u.
15
Let g(p) = 0*p - 4*p - 4*p. Calculate the common denominator of -1/6 and g(-5).
6
Suppose 29 + 59 = 4*f. What is the smallest common multiple of f and 42/5 - (-18)/(-45)?
88
Suppose -r + 4 = 2. Suppose -5*h + 50 = 5*t, 0 = -t + 5*h - 12 - 8. What is the lowest common multiple of r and t?
10
Let w = 3874 + -46525/12. Find the common denominator of w and 121/12.
12
Suppose 0 = -4*r - 2*v - 2336, -3*r + 2*v = 1559 + 193. Let q = 2689 + r. Let j = 29579/14 - q. What is the common denominator of j and 79/2?
14
Suppose 4*y = -0*y + 8. Let p be 6*(y/3 + 1). Suppose -d + p = 4*d. What is the lowest common multiple of 2 and d?
2
Let a(x) = x**2 + x + 10. Let y be (12/10)/(3/15). Let c be y/3 + -1 + -1. Calculate the lowest common multiple of a(c) and 6.
30
Suppose 4*x = 6*x + 12. Let k be (1222/(-4))/((-3)/x). Let p = -1181/2 - k. Find the common denominator of -29/12 and p.
12
Suppose 4*a + 0*a + k - 3 = 0, -3*a - 3*k = 0. Suppose -l = -3*b - 16, -l - 5*b = 3*l + 21. What is the common denominator of -1/9 and a - l - 41/4?
36
Let a(m) = -5*m - 2. Let v = 34 + -24. Calculate the smallest common multiple of a(-4) and v.
90
Suppose 0 = -4*z + 6 + 2. What is the smallest common multiple of 2 and z?
2
Let q be ((-108)/(-16))/(3/8). Suppose 0 = -2*p + p + q. What is the least common multiple of p and 8?
72
Suppose -b - i + 0 + 3 = 0, i + 3 = 0. What is the lowest common multiple of b and ((-8)/(-10))/(2/5)?
6
Let t = -21 - -6. Let p = t - -30. What is the smallest common multiple of 12 and (20/p)/(4/6)?
12
Let l be (543710/(-72))/(6/18). Let i = -22667 - l. What is the common denominator of i and -93/4?
12
Suppose -21 = -3*o + 5*x, -5*o + 3*x = 2 - 21. Calculate the least common multiple of 8 and o.
8
Suppose -98 = 8*o - 114. What is the lowest common multiple of 13 and o?
26
Let w = 3719/5 - 4979751/6695. Let q = 25445/2678 + w. Calculate the common denominator of -17/18 and q.
18
Let x(b) = 2*b**3 - 6*b**2 + b - 1. Let m be x(4). What is the common denominator of 3 - 0 - (-80)/m and 71/8?
56
What is the lowest common multiple of 22 and (-2)/5 + 216/15?
154
Suppose -k + 3*k + 5*y = -1, 0 = y + 1. What is the least common multiple of k and 2?
2
Let h = 1 - 0. Suppose 2*p + 0 - 4 = 0. Suppose 5*b + 0*b = 0, 5*b = p*v - 8. What is the smallest common multiple of h and v?
4
Let h(u) = -166*u**2 - 4*u - 3. Let j be h(-2). Let w = -1345/2 - j. What is the common denominator of w and 73/9?
18
Let | {
"pile_set_name": "DM Mathematics"
} |
nd 7*m**2 + 1 - 3*m**2 - 3 + (0*m + m + m)*(-6*m + 0 + 0).
-8*m**2 - 2
Expand (3 + 2 - 3)*(-2*c + 4*c - 4*c)*(-2 - c**3 + 1 - c**4 + 0*c**3).
4*c**5 + 4*c**4 + 4*c
Expand (-7*a**5 + 0*a**5 - a**5)*(2 + 20 - 3).
-152*a**5
Expand (5*o - o - 2*o)*(-6*o + 1 - 4*o - 3*o).
-26*o**2 + 2*o
Expand (2*z + 2*z**3 - 2*z)*(0*z**2 + 4*z**2 - 2*z**2) - 19*z**5 - 33*z**5 + 138*z**5 - 72*z**5.
18*z**5
Expand -26*f**3 + 5133*f - 5137*f - f**3 + (f + 2*f**2 - f)*(3*f - 3*f - f) + 3*f - 3*f + f**3.
-28*f**3 - 4*f
Expand (g**2 + 0*g**2 - 2*g**2)*(-g**3 - 3 + 3) - g**2 - 2*g**5 + g**2 + (-5*g**2 + 3*g**2 + g**2)*(-g**3 + 5*g**3 - 3*g**3) + 561*g**5 + 661*g**5 - 332*g**5.
888*g**5
Expand (2*k**2 - 7*k**2 - 12*k**2)*(-3*k - 37*k - 11*k + 8*k - 26*k).
1173*k**3
Expand -25*r - 12*r + r + (-1 + 3 - 1)*(18 + 3*r - 18).
-33*r
Expand (-g - 2*g + 4*g)*(-41*g**3 - 64*g + 43*g**3 - 843*g).
2*g**4 - 907*g**2
Expand (-2 + 4 + 0)*(0*p + 3*p + 0*p) + 258 - 24*p - 258 + (-4 - 1 + 3)*(-3*p + p + 0*p) + (-p + 0 + 0)*(-4 + 3 + 4).
-17*p
Expand (6 - 6 - 2*t)*(3 - 1063*t + 0 + 1093*t).
-60*t**2 - 6*t
Expand (-13*h - 26*h + 0*h)*(0*h**4 - 2*h**4 + h**4) + (0 + 0 - 1)*(-3*h**5 - 2*h**5 + 3*h**5).
41*h**5
Expand (2*v - 2*v - 6*v)*((-v + 4*v - 2*v)*(2 - 6 + 2) - 3*v + 7*v - v)*(1 - 2 + 3).
-12*v**2
Expand -4*f**2 + 5*f**2 + f**2 + (3*f - f - f)*(0*f + 2*f + 8*f) + (3 - 3 + 3*f)*(-2*f - 2 + 2).
6*f**2
Expand (-6 - 3 + 11 + 1 - 4 + 2 - 4 + 4 - 2 + (-2 + 1 + 0)*(-4 + 3 + 3) + 5 - 5 + 1)*(0*s + 3*s - 2*s)*(-1 - 2*s + 1)*(4 - 1 - 4).
-4*s**2
Expand ((d - 3*d + 0*d)*(2*d**4 + 5*d**2 - 5*d**2) + 2*d**5 - d**5 - 2*d**5 + 2*d - 2*d + d**5 - d**5 - d**5 + 3*d**5)*(-1 - 18 + 1).
54*d**5
Expand (-44*x**2 + 32*x**2 + 24*x**2)*(-5*x**3 + x**3 + x**3).
-36*x**5
Expand (-5*b**2 + 6*b**2 + 2*b**2)*(-3*b**2 - b**2 + 2*b**2) + 7*b**4 - 2*b**4 - 8 - b - 7*b**4.
-8*b**4 - b - 8
Expand (-4*y + 3*y - y)*((1 + 1 - 1)*(-45 + 48 - 45) - 1 + 2 + 1)*(1 - 1 + 2*y).
160*y**2
Expand 0*l**3 - l**5 + 0*l**3 + (-14*l**3 - 41*l**3 + 12*l**3)*(6*l**2 - 3*l**2 - 6*l**2).
128*l**5
Expand (-3*p**3 + p**3 + 0*p**3)*(p**2 + 1 - 1) - 21*p**5 + 96*p**5 + 4*p**5.
77*p**5
Expand (-24*u + 4*u + 10*u)*(0 + 0 - u + (7*u - 3*u - 2*u)*(2 - 1 - 2)).
30*u**2
Expand (4*r - 2*r**3 - 8*r + r**3)*((-3*r - 2*r + 3*r)*(1 - 3 + 0) + 0*r + 3*r - 2*r + 74 - 74 + 17*r + 4*r - 4*r + 2*r).
-24*r**4 - 96*r**2
Expand (-4*g**4 - 6*g + 6*g)*(-3 + 4 + 1)*(-84*g + 181*g - 92*g).
-40*g**5
Expand (g - 7*g - 27*g)*((1 - 1 - 1)*(-4*g + 6*g - 3*g) - g + 3*g - g + 88 + 7*g - 88).
-297*g**2
Expand -2*a**3 + 5*a**2 - 5*a**2 - 5 + (-2*a - a + 5*a)*(-2*a**2 + 3*a - 3*a) + 0*a + 2*a**3 + 0*a + 2*a**3 - 5*a**3 + 2*a**3 + 213*a**3 + 4*a - 210*a**3 + 7*a.
-2*a**3 + 11*a - 5
Expand (224*f + 386*f - 1548*f)*(-1 + 1 + f).
-938*f**2
Expand (-5*a**2 + 2*a**2 + 2*a**2)*(-217 + 24*a + 217) - 2*a**3 + 3*a**3 + 0*a**3.
-23*a**3
Expand (-2*u + 3*u + 3*u + 6*u)*(16*u**2 - 12*u**2 - 12*u**2).
-80*u**3
Expand -8*r**5 + 4*r**5 - 10*r**2 + 10*r**2 + 5*r**5 - r**5 - 6*r**5 + (-4*r**2 + 4*r**2 + 2*r**2)*(-r**3 - r**3 + 0*r**3) - 2*r**5 + r**5 - r**5.
-12*r**5
Expand (-4 + 6 - 5)*(u**2 - u**2 - 2*u**2 + (2*u - 5*u + 5*u)*(0*u - 2*u + 6*u) - 4*u + 4*u + u**2 + 2*u - 2*u + 2*u**2).
-27*u**2
Expand -4*i**2 - 2*i**2 + 3*i**2 + (-2*i + 2*i - i)*(-3*i - 2*i + 7*i) + (12 - 12 - 16*i)*(i + 3 - 3) - 4*i**2 + 4*i**2 - i**2.
-22*i**2
Expand (2 - 2 + 2)*(67 - 41 - 35)*(-1 + 1 + k).
-18*k
Expand 0*z + 0*z - 3*z**3 + 1 - 1 + 2*z**3 + z**3 - 4 + 4 + (-2*z - z + z)*(-2*z**2 + 0 + 0) - 613 - 133*z**3 + 613 + 2*z**3 + 0*z**2 + 0*z**2.
-127*z**3
Expand 23*x**2 - 3459*x + 3459*x + (x + 2*x**2 - x)*(0 - 3 + 2).
21*x**2
Expand -3*p**3 + 0*p**3 + 4*p**3 + 13*p**3 - 6*p**3 + p**2 + 0*p**2 + (p + 3*p - 3*p)*(-3*p**2 - 3*p**2 + 4*p**2).
6*p**3 + p**2
Expand (-2 + 3 - 6)*(7 - 2 - 8)*(-u + 4 - 4)*(4 + 3 - 5).
-30*u
Expand (-3*a - 2*a + 0*a)*(4 + 2 - 5)*(3*a**3 - 4*a**3 - 10*a**3).
55*a**4
Expand (4*w**2 + 2*w**2 + 0*w**2)*(-2 + 1 - 1)*(8 + 2 - 4)*(0 + 7 - 4).
-216*w**2
Expand -z + 3*z + 3*z + 3*z + 3*z - 4*z - 3 - z + 3 + (3 - z - 3)*(-2 + 2 + 2) - 2*z + 5*z - 4*z - 9 + 19 - 11*z - 6.
-8*z + 4
Expand (z + 2*z - 2*z)*(90*z**2 - 2*z**2 - 8*z**2 + (-2*z**2 + 6*z**2 - 2*z**2)*(0 - 2 + 1)).
78*z**3
Expand 2*p**2 + p**2 - p**2 + 2*p**4 + 0 - p**4 + 0 + (4*p - p - 2*p)*(2*p**3 + 4*p**3 - 4*p**3).
3*p**4 + 2*p**2
Expand 46*u**4 + 37*u**4 + 54*u**4 + (3 + 2 - 3)*(3*u**4 + u**4 - 2*u**4).
141*u**4
Expand (-1 + 1 - 3*a**2)*(4 - 4*a**2 - 4)*(0*a - a - 7*a) + (0*a - 2*a + 0*a)*(2*a**4 + 2 - 2).
-100*a**5
Expand (-7*o + 2*o + 2*o)*(2*o**4 + 0*o**4 - o**4) - 90*o**4 - 20*o**5 + 90*o**4.
-23*o**5
Expand (-2*h - 3 + 3)*(2 + 0 - 4)*(2*h - 4 + 4)*(-6 - 7 + 3).
-80*h**2
Expand (n + 2 - 2)*(-20*n**2 + 9*n**2 - 3*n + 12*n**2) + (5*n**2 - 7*n**2 - 15*n**2)*(-3 + 2*n + 3).
-33*n**3 - 3*n**2
Expand (145 + 236 + 27 - 70)*(-3*o**5 + 2*o**5 - o**5).
-676*o**5
Expand ((-3 + 0 + 1)*(a**2 - 3 + 3) - 4*a**2 - a**2 - a**2)*(2*a**2 - 5*a**2 + 4*a**2).
-8*a**4
Expand (0*u - u - 3*u)*((2 - 1 - 3)*(4 - 4 - 2) + 2 - 1 - 3 + 0 + 3 - 4).
-4*u
Expand (-4 + 4 - 2*y**2)*(y**2 - 2*y**2 - y**2) + y**4 + y**4 - y**4 - 5*y + 5*y - 8*y**4.
-3*y**4
Expand -1 + 1 + h + (-1 - h + 1)*(4 - 17 - 12 + 6).
20*h
Expand (581 - 290 - 374)*(-2*b**2 + b - b).
166*b**2
Expand (0*v + 1070*v**3 + 2*v - 1076*v**3)*(0*v**2 + 3*v**2 - 2*v**2).
-6*v**5 + 2*v**3
Expand (-220*d**3 + 5990*d - 5990*d)*(2 - 6 + 3) + (-4 - 2*d + 4)*(3*d**2 - 3*d**2 + 2*d**2).
216*d**3
Expand (-26*d + 127 - 10*d - 126)*(-3*d - 8 + 8).
108*d**2 - 3*d
Expand 2*o**3 + 3*o**3 - 2*o**3 + (0*o + o**2 + 0*o)*(0 + 0 - o) - 46*o - 70*o**3 + 46*o.
-68*o**3
Expand (1 - 1 + w**2)*(601*w + 140268 - 140268).
601*w**3
Expand (-2*q**3 + 0*q**3 + 0*q**3)*(-1 + 0 + 10) + q - q - q**3 + (2 - 2 + 2*q)*(0*q**2 + q**2 + 2*q**2).
-13*q**3
Expand 5*w - 2*w + 0*w - w + 6*w + w + (-2*w + w - w)*(-1 + 1 - 1) + w - w - 4*w + (3 + 1 - 2)*(-2*w + 3*w + w).
11*w
Expand (-6*a**3 + 4*a**3 + a**3)*(2*a**2 + 0*a**2 + 0*a**2) + (-3 - 3 + 3)*(2*a**5 + a**5 + 2*a**5) - a - 2*a**5 + a.
-19*a**5
Expand (-2*t + t - 2*t)*(139 + 246 - 125).
-780*t
Expand ((2 - 2 + 3)*(s**3 - 2*s**3 + 0*s**3) - s**3 - 3*s**3 - s**3)*(-1 + s**2 + 1).
-8*s**5
Expand (14 + 15 - 17 + 0 + 0 + 1 + (2 - 2 - 1)*(0 - 3 + 2))*(u**2 - u**2 + 3*u**2).
42*u**2
Expand 85*w + 1688 - 1688 + 3*w + 0 + 0 + 3*w - 2*w + 0*w - 2*w - 2*w + 2*w + 2*w + 1 - 1 + (1 - 3 + 3)*(2*w - 2*w + 2*w) + 2*w + 0 + 0 + 0 + 2*w + 0.
95*w
Expand (45 - 54 - 30)*(v - v + v) - 4*v - 3*v + 4*v.
-42*v
Expand 1777*a**2 - 1777*a**2 - 17*a**5 + (0 - a - 1 + 0)*(-a**4 - 2*a**4 + a**4).
-15*a**5 + 2*a**4
Expand (-3 + 3 + 3*a)*(10 - 40 - 10).
-120*a
Expand (-2*x - x + 2*x**5 - x**5)*(2 + 1 - 2) - 8*x**5 - 221*x**4 + 221*x**4 + 1.
-7*x**5 - 3*x + 1
Expand ((-9*t - 7 + 7)*(0*t + 0*t + t) - t**2 - 4*t**2 - t**2)*(6*t + 3*t - 2*t).
-105*t**3
Expand (n + 0*n + n)*(-2*n**2 + n**2 - n**2) + 0*n**3 - n**3 - n**3 + 316*n**3 - 4*n**2 - 7*n**2 - 314*n**3.
-4*n**3 - 11*n**2
Expand (2*k - 1 + 1)*(-35*k + 15*k - 25*k).
-90*k**2
Expand (11*c**4 - 22*c**4 + 6*c**4)*(2 + 0 + 0)*(-2 + 8 + 2).
-80*c**4
Expand (-4 + 2 + 5 + 2*r)*(-1 - 2 + 4)*(-29 + 5 + 4).
-40*r - 60
Expand (-3 - 3 + 3)*(r + 1 - 1 + 0 + 0 - 2*r + (0 + r + 0)*(1 + 3 - 5) - 2*r + 10*r + 0*r).
-18*r
Expand (3 + 2 - 6)*(7 - 100*i**3 + 105*i**3 - 49*i**3).
44*i**3 - 7
Expand (0*d - 3*d + 6*d)*((4 - 2 - 6)*(1 - 2 + 2) + 3 - 2 + 1).
-6*d
Expand (3*k - k + 0*k)*((-2 + 2 - k)*(4 - 3 + 1) + 6*k + 8*k - 4*k).
16*k**2
Expand (26*c**2 - 27*c + 26*c + 4*c**2 + 7)*(4 + c**3 - 4).
30*c**5 - c**4 + 7*c**3
Expand (2*z + 2*z**3 - 2*z)*(-1 - z + 1)*(-119 + 9*z + 119).
-18*z**5
Expand (2*y**2 + 2*y**2 + 0*y**2)*(4 - y**2 - 4 - y**2 + 6*y**2 - 2*y**2 + (4 - 2 - 1)*(10 - 10 - y**2)).
4*y**4
Expand (-26 - 307 - 120 + 76)*(2 + 4 - 3)*(3 - 3 + i).
-1131*i
Expand (24 - 17 - 21)*(-5*x + 6*x - 2*x)*(0 - 5 + 4)*(1 - 2*x - 1).
28*x**2
Expand -37*g**3 + 8*g - 8*g - 2*g**3 + g - g + (1 + 1 - 3)*(2*g**3 - 3*g + 3*g) - 5*g**3 + 4*g**3 + 2*g**3 - g**3 + g**2 - g**2.
-41*g**3
Expand 9629*t**3 + t - 9625*t**3 + 13*t + 3*t**3 + 0 + 0 + 3*t - 2*t**3 - 3*t + (3 - t - 3)*(2*t**2 + 2*t - 2*t).
3*t**3 + 14*t
Expand (0*t**2 + 3*t**2 - t**2)*(-2 + 0 + 1) - 9*t + 19*t**2 - 31*t + 38*t.
17*t**2 - 2*t
Expand 9*m | {
"pile_set_name": "DM Mathematics"
} |
026
Express (-14786*r + 159195*r**2 - 34997*r**2 + 14786*r)*(-2*r + 2*r - 2*r) in the form y*r + g*r**3 + i*r**2 + q and give g.
-248396
Rearrange (5*g - 5*g + 18*g)*(137*g - 41*g - 35*g)*(6*g - 3*g + g) to a*g**2 + x*g**3 + d*g + m and give x.
4392
Rearrange 9 - 110056*v**2 + 110290*v**2 + 2*v - 29 to the form r*v**2 + t + b*v and give r.
234
Express -192*y - 85*y**2 + 380*y**2 - 93*y**2 - 89*y**2 - 95*y**2 in the form b + g*y**2 + n*y and give g.
18
Express f**2 - 40*f - 787659 - 2*f**2 + 787365 in the form v*f**2 + q + a*f and give v.
-1
Rearrange 29*o**2 + 2036*o - 21*o**2 - 12*o**2 + 309*o to the form h*o + a + t*o**2 and give a.
0
Rearrange -42 + 28661*d - 28661*d - 63*d**2 + 157*d**2 to the form h + u*d + z*d**2 and give z.
94
Express -36 + 45*t**3 + 42*t**2 + 20 - t**4 + 16 - 61*t**3 as a*t**2 + w*t**4 + c*t + b + z*t**3 and give a.
42
Rearrange (4 + 1 - 2)*(-1 - 8636*w + 5 + 8095*w) to the form o + t*w and give t.
-1623
Express 42 + 121 - 4*r**2 + 0*r + 0*r + 14*r - 13*r in the form l*r**2 + i*r + t and give l.
-4
Express (-3*t + t + 0*t)*(-64106 - 64350 + 126713)*(-4*t - 3*t + 5*t) as p*t**2 + h + k*t and give p.
-6972
Express 2*k**3 - k + k + (-9*k**2 + 20*k**2 + 8*k**2)*(87 + 72*k - 87) as q*k**3 + w*k + x*k**2 + l and give q.
1370
Express (-2 + 2 + q**2)*(37 - 15 + 57)*(141*q - 159*q - 112*q) as s*q**3 + y*q + c*q**2 + l and give s.
-10270
Express 26*q**2 - 6*q - 27*q**2 + 1463*q**3 + 5 - 1462*q**3 as u + d*q**3 + n*q**2 + y*q and give n.
-1
Rearrange -1519 + 3*a**2 + 2*a + 1461 + 31*a**2 to f*a + h + n*a**2 and give n.
34
Express 525*h**2 - 423724*h - 14 + 423726*h + 14 in the form i*h + o + w*h**2 and give i.
2
Rearrange -61118*h + 61120*h + 3*h**2 + h**4 + 18*h**3 + 3*h**4 to the form v*h**2 + f*h**3 + o + t*h**4 + x*h and give v.
3
Express (3067*p**2 - 510*p + 301*p + 209*p)*(3 + 1 + 0) as q*p**2 + k*p + r and give r.
0
Rearrange 15 + f + 18*f**4 - 58 + 2*f**3 + 84 - 16*f**4 + 76 + 2*f**2 to the form n*f**4 + u*f**2 + s + y*f**3 + t*f and give s.
117
Express -299252*s + 299281*s + 57*s**3 - s**2 + 3*s**2 as h*s**3 + b + r*s + n*s**2 and give r.
29
Rearrange -78*x - 794*x + 2*x**2 - 1075*x to n + t*x**2 + s*x and give s.
-1947
Rearrange -3*y**2 + 284 + y**4 - 281 + y - 4*y**2 + 8*y**2 + 80*y**3 to d*y**4 + f*y + j + h*y**2 + n*y**3 and give j.
3
Rearrange 1024*q + 315*q + 2 - 2 to the form d + c*q and give c.
1339
Express 14*s + 9*s + 421 + 15*s - 625 as v + g*s and give g.
38
Express -21 + 1486*c + 6*c**2 - 2966*c + 1482*c as w + x*c**2 + r*c and give r.
2
Rearrange -2*q**3 - 13*q**2 - 3578 - 7*q**3 + 1189 + 7*q + 1195 + 1192 to the form a + t*q**3 + n*q**2 + o*q and give a.
-2
Rearrange -503*x - 508*x - 22 - 447*x + 1560*x to the form k + a*x and give k.
-22
Express (-342*k + 54*k - 161*k)*(0*k + 9 - 5 - 2*k) in the form f + g*k + o*k**2 and give g.
-1796
Express (-37*j - 57 + 57)*(6 - 6 + 9) + (0*j + 2*j + 0*j)*(-3 - 3 + 4) as f + w*j and give w.
-337
Express (5*m + 4 - 4)*(-2416*m**3 - 2492*m**3 + 4905*m**3 - 35*m**2 + 54*m) + 0*m**4 - m**4 + 0*m**4 in the form u*m**3 + w + s*m**2 + x*m + v*m**4 and give u.
-175
Rearrange -643*a + 2548*a + 1827*a to q*a + c and give q.
3732
Express -38292*d + 76822*d - 40557*d + 3 as t + o*d and give t.
3
Rearrange (1 + 2 + 0)*(-104129*h**4 - 106794*h**4 + 204478*h**4) to the form t + p*h**3 + g*h**2 + d*h + c*h**4 and give c.
-19335
Express -682*a + 233*a + 225*a + 5379 + 226*a as n + h*a and give h.
2
Rearrange -982*n + 177973 - 177972 + 3274*n to the form s + t*n and give s.
1
Rearrange (3*d - 5*d + 4*d)*(31 - 560 - 4584 + (1 + 2 - 4)*(0 - 4 + 2))*(0 - 1 - 1) to the form c + n*d and give n.
20444
Express -6 - 54*l**2 + 7*l**2 + 68*l**2 - 5*l + 3 as g*l**2 + p*l + t and give p.
-5
Rearrange (0*f**2 + 0*f**2 + 3*f**2)*(-15*f + 23 - 23 - 144*f + 305*f + 214*f + (-f + f + f)*(-5 + 1 + 3)) to the form b*f + c*f**2 + y + v*f**3 and give v.
1077
Express 153*s + 37*s**4 + 6 - 4*s**2 - 84*s - 4 - 65*s + 5*s**2 in the form x + l*s**4 + z*s**3 + g*s**2 + b*s and give l.
37
Express 4*y + 1227*y - 4810*y - 3156*y as j + w*y and give w.
-6735
Rearrange -1 + 3*g**4 + 1 + (0*g**2 - 17*g**2 + 6*g**2)*(-g**2 + g**2 + 2*g**2) to o*g**2 + z*g**3 + m*g**4 + c*g + h and give m.
-19
Express -66*t + 53 + 161*t - 9 + 181*t + 63*t in the form w*t + f and give f.
44
Rearrange 391*t - 737*t + 342*t + 709 to the form n*t + w and give n.
-4
Rearrange -222140 + 2*w**2 - 2*w**2 + 7*w**3 + 222192 to the form m*w + p + v*w**2 + j*w**3 and give j.
7
Express (-1 + 4 - 1)*(0*n**2 + 0*n**2 - n**3) + 146726*n**3 - 146077*n**3 + 36*n - 30*n in the form x*n**2 + j*n + k*n**3 + q and give j.
6
Rearrange (-5*b + 6*b + 651451 - 651370)*(0*b + 0*b + 3*b**2) + 0*b**3 + 0*b**3 + b**3 to the form a + t*b**3 + u*b**2 + q*b and give u.
243
Rearrange -15*l**2 - 4*l**2 + 1539 - 3*l**3 - 1542 + l**3 to r*l**3 + n*l**2 + q*l + y and give y.
-3
Rearrange -2*l + l + 0*l + (2 - 5 + 1)*(2*l + 0*l + 0*l) - 3*l + 0*l + 2*l - 28*l + 9*l + 435*l to x + u*l and give u.
410
Rearrange 65*g**2 + 84*g**2 + 28*g**2 - g + 6861 + 6859 - 13730 to the form n*g**2 + m*g + x and give n.
177
Express (-x - 3 + 3)*(-3708 + 7382 - 3674 + 22582*x**3) in the form j*x**3 + u*x**2 + h*x**4 + r*x + v and give h.
-22582
Express -8201*v + 18706*v + 11005*v + 6259*v in the form d*v + n and give d.
27769
Rearrange -36*p**2 - 56 - 1278*p + 2508*p - 1232*p + 147*p**2 to the form q*p**2 + g*p + d and give d.
-56
Rearrange (1 + 2 - 4)*(f + 4*f - 4*f) + 10 - 4*f - 10 + (243 - 1 - 118)*(2 + f - 2) + 2 - f - 2 to s*f + c and give s.
118
Express (-160*x**2 + 36*x**2 + 45*x**2)*(43 + 3 - 1) in the form y*x + s*x**2 + r and give s.
-3555
Express 7*i**3 - 3*i**3 + 47*i**3 + (-40*i + 40*i - 6*i**2)*(2 + 2 - 1)*(1 - 2*i - 1)*(1 + 1 - 3) as o + u*i**2 + p*i + f*i**3 and give f.
15
Rearrange -13236287 + 13236287 - 38529*p to the form v*p + r and give v.
-38529
Express 861*n + 6*n**4 - n**2 + 4 - 854*n - 3*n**3 + 9 - 4*n**2 + 7*n**2 in the form v*n**4 + b*n + z*n**3 + w*n**2 + r and give v.
6
Express 32 - 20 - 2281*i + 14 - 27 - 2116*i in the form h + p*i and give h.
-1
Rearrange 10288*h**2 - 18527*h**2 + 4563*h**2 to the form k*h**2 + f*h + v and give k.
-3676
Express 2*b**4 - 2 - 4394*b + b**4 - 50*b**3 - 111*b**3 + 4394*b as o*b**4 + g*b**3 + h*b**2 + l*b + w and give w.
-2
Rearrange (3*y - 5*y + 3*y + (2*y + 0*y - 4*y)*(-1 + 0 - 2))*(22*y - 2 - 23*y - 64) to the form j*y + m*y**2 + s and give s.
0
Express 3 + h**4 - 3 + (-8 - 4*h**2 + 8)*(h + 3*h**2 - h) + (-6*h - 3*h**3 + 6*h)*(8*h + 13 - 13) in the form i*h**3 + q*h + r*h**4 + c*h**2 + k and give r.
-35
Rearrange 35*r - 6*r**2 - 79*r + 30*r + 14*r + 170 to f*r + g + x*r**2 and give g.
170
Express 1 + 1278608*x**2 - 3 - 1278313*x**2 in the form n*x + f + w*x**2 and give f.
-2
Rearrange -2441 - 2*k**3 - 49*k**2 + 9*k**2 - 93*k**2 + 2*k + 2449 - 5*k**2 to the form s*k + l*k**2 + b + h*k**3 and give b.
8
Rearrange -226*r**2 + 5409*r**3 + r - 1796*r**3 + 2*r**4 - 1792*r**3 - 1807*r**3 to the form w*r**4 + l*r + o*r**3 + x + v*r**2 and give o.
14
Express (-3*f + 3*f - 2*f)*(5*f - 2*f - 4*f) - 3*f - 2*f**2 + 3*f**2 + 4*f - 160*f + f**2 - 152*f + 331*f as h + d*f**2 + l*f and give l.
20
Rearrange 325*l + 283*l - 1 - 25*l + 110*l - 280*l to the form k*l + d and give d.
-1
Express ((2 - 1 + 0)*(4*v - 3*v + v) - 28*v - 21*v + v)*(19 + 4 - 53) as g + m*v and give g.
0
Rearrange 1 - 10307*b**2 + 3 - 4 + 14343*b**2 to z + t*b + k*b**2 and give k.
4036
Rearrange (-1 + 0 + 0)*((-2 + 4 - 4)*(-35*i**3 - 20*i**3 + 107*i**3) + (5 + 1 - 5)*(-3*i**3 + 0*i**3 + 4*i**3)) to j*i**2 + s*i + a*i**3 + m and give a.
103
Express 2390*r + 1042244 - 1042244 as h + a*r and give a.
2390
Express -30*q**4 + 10*q**4 + 14*q**4 + (-6*q + 0*q - 7*q)*(0*q**3 - 2*q**3 + 4*q**3) + 2*q**4 + 0*q**4 - q**4 as o*q**2 + t*q**3 + g*q + b + i*q**4 and give g.
0
Rearrange -1 - 2*g**3 + 1 + (g + 2*g**2 - g)*(3*g - g - 3*g) - 65*g**3 - 12*g**3 - 20*g**3 + g - 9*g**3 - g to the form y*g**2 + q*g**3 + d*g + r and give q.
-110
Express (2*o - 3*o - 2*o)*(-6 + 2 + 1)*(21186 - 21186 + 252*o) in the form y*o**2 + n + g*o and give g.
0
Rearrange -57*y - 51*y - 50*y - 56*y + 218*y + 6*y**3 + 10*y**2 to the form a*y**2 + p*y + g*y**3 + b and give a.
10
Express -7*x**2 + 300*x**3 + 26*x + 1 | {
"pile_set_name": "DM Mathematics"
} |
84) + -4 + sqrt(684) + -1 - (4*sqrt(684)*1 + sqrt(684)).
-18*sqrt(19) - 5
Simplify (-2*(-4*sqrt(77)*1 - sqrt(77))/sqrt(7))**2.
1100
Simplify (sqrt(5) + (1*sqrt(30))/sqrt(6))**2 + 0 + ((-1*sqrt(5)*4)**2 - (sqrt(320) + 0 + sqrt(320))).
-16*sqrt(5) + 100
Simplify (sqrt(117)*1*1)/(sqrt(72)/(-1*sqrt(8))).
-sqrt(13)
Simplify (sqrt(187)/(sqrt(33)/sqrt(3))*5)**2.
425
Simplify sqrt(1300) - 3*sqrt(1300)*1.
-20*sqrt(13)
Simplify ((sqrt(112) + 0)*-2 + sqrt(112))**2.
112
Simplify 1 + sqrt(704) + -3 + sqrt(704)*1.
-2 + 16*sqrt(11)
Simplify (2*sqrt(12)*-3)/sqrt(4).
-6*sqrt(3)
Simplify (sqrt(104)*-1*-3)/sqrt(8) - sqrt(130)/(sqrt(110)/(sqrt(44)/sqrt(4) + sqrt(11) - sqrt(11)) + sqrt(10)).
5*sqrt(13)/2
Simplify ((sqrt(612) + -1 - sqrt(17)) + -3 + -5)**2.
-90*sqrt(17) + 506
Simplify (3*(-1 + (sqrt(252)*1 - sqrt(252)))*3)**2.
81
Simplify -2 + sqrt(98) + -1 - sqrt(98).
-3
Simplify ((2*sqrt(85) + sqrt(85) + sqrt(85) - sqrt(85))/sqrt(5) + (sqrt(85) + -1*sqrt(85))/sqrt(5) + sqrt(17) + -1)**2.
-8*sqrt(17) + 273
Simplify (((sqrt(63)/sqrt(3) - sqrt(21)) + sqrt(21) - sqrt(21))*1)/sqrt(3).
0
Simplify (-4 + sqrt(300) + sqrt(3) + sqrt(15)/sqrt(125))**2.
-448*sqrt(3)/5 + 9808/25
Simplify 5*(sqrt(539) + 1 + sqrt(11)).
5 + 40*sqrt(11)
Simplify ((sqrt(5600)*-2 - sqrt(5600)) + sqrt(56))/(sqrt(64)/(sqrt(8)*3) - sqrt(8)).
87*sqrt(7)/2
Simplify -4*(0 + sqrt(33)/(sqrt(11)*2 + sqrt(11))).
-4*sqrt(3)/3
Simplify (sqrt(156) - sqrt(156)*-1*4)/sqrt(12).
5*sqrt(13)
Simplify sqrt(396)/(sqrt(9) + (sqrt(225) - (-4*sqrt(225) - sqrt(225)))).
2*sqrt(11)/31
Simplify (sqrt(5) + sqrt(15)/sqrt(3))*-4 - (sqrt(180) + 1).
-14*sqrt(5) - 1
Simplify (sqrt(324)/(sqrt(36)/sqrt(4)) + sqrt(36))/(sqrt(12) + (sqrt(12) - (sqrt(144)*-1 + sqrt(144) + sqrt(144))/sqrt(12))).
2*sqrt(3)
Simplify 1 + (sqrt(64) + sqrt(4))/sqrt(2) + (-2*sqrt(648))/sqrt(9).
-7*sqrt(2) + 1
Simplify sqrt(68)/(1*sqrt(4)) + (-4*(sqrt(17) + sqrt(68) - sqrt(17)))**2.
sqrt(17) + 1088
Simplify 4 + sqrt(36)/sqrt(2).
4 + 3*sqrt(2)
Simplify (3*(sqrt(2) + sqrt(8)/sqrt(4)))**2 + -1.
71
Simplify ((sqrt(2880) - -1*sqrt(2880)) + sqrt(2880) + sqrt(2880))/(sqrt(490)*-2).
-24*sqrt(2)/7
Simplify (sqrt(153) - 1*sqrt(153)*-5)/(sqrt(54)/(sqrt(24)/sqrt(4))).
6*sqrt(17)
Simplify (-6*((sqrt(7) - (sqrt(21)/sqrt(3) + -5)) + 2))**2*-3.
-5292
Simplify (0 + sqrt(700))*-4.
-40*sqrt(7)
Simplify ((sqrt(171) + 1*sqrt(171))*2 + sqrt(171) - (5 + sqrt(171) + sqrt(171)*-1))**2 + 4.
-150*sqrt(19) + 4304
Simplify 4*(sqrt(135)/sqrt(5) + sqrt(27))*4.
96*sqrt(3)
Simplify -5*((-1*(-1 + sqrt(847)) + sqrt(847) - sqrt(847)) + 1).
-10 + 55*sqrt(7)
Simplify 4 + (0 + sqrt(1584) + sqrt(1584))**2 + -4.
6336
Simplify 1 + sqrt(78)/(sqrt(6) + sqrt(150)*-1).
-sqrt(13)/4 + 1
Simplify 0 + -4 + sqrt(11) + 4 + sqrt(99).
4*sqrt(11)
Simplify (-2 + -1*(sqrt(2) + -2*sqrt(2) + 3 + sqrt(2)) + -5)**2.
100
Simplify 0 + (0 + sqrt(637)*-2 + sqrt(637))**2.
637
Simplify sqrt(39)/(sqrt(12)/sqrt(4))*-4.
-4*sqrt(13)
Simplify (sqrt(2448) + 0 + 3)**2.
72*sqrt(17) + 2457
Simplify (sqrt(2695) - (sqrt(2695) - (-2*sqrt(2695) + sqrt(2695))))/((sqrt(11) - (sqrt(11) + sqrt(55)/sqrt(20))) + sqrt(11)).
-14*sqrt(5)
Simplify (6*-2*sqrt(1088)*3)**2.
1410048
Simplify -1*(1 + sqrt(3)) + sqrt(3) + (1 + sqrt(300))**2 + sqrt(300).
30*sqrt(3) + 300
Simplify -3 + (-2 + (sqrt(1900) + 1 - sqrt(1900)))**2.
-2
Simplify -4*-5*sqrt(112)*4.
320*sqrt(7)
Simplify ((sqrt(320) - sqrt(320)*-4) + sqrt(320) + 2)**2*-6.
-69144 - 1152*sqrt(5)
Simplify 3 + (1*sqrt(99)*-4)/sqrt(9).
-4*sqrt(11) + 3
Simplify (-2*sqrt(42))/sqrt(6)*2*3.
-12*sqrt(7)
Simplify 4*sqrt(28)/((sqrt(8) + sqrt(48)/sqrt(6))/sqrt(2)).
2*sqrt(7)
Simplify (1*sqrt(228))/sqrt(12) + sqrt(76)*-1.
-sqrt(19)
Simplify -3 + -2*-2*sqrt(19).
-3 + 4*sqrt(19)
Simplify sqrt(208) - (3 + -3*sqrt(208)).
-3 + 16*sqrt(13)
Simplify (sqrt(78)/(sqrt(18)/sqrt(3)) + sqrt(1872)*2)**2.
8125
Simplify -4*(3 + sqrt(2299) + (sqrt(2299)*2)**2 - sqrt(2299)).
-36796
Simplify (sqrt(2448) + sqrt(2448) + (sqrt(2448) - sqrt(2448)*-1))**2 + 1.
39169
Simplify (4*(-4 + sqrt(192)))**2.
-1024*sqrt(3) + 3328
Simplify (sqrt(3402)*-2 - sqrt(42))/((sqrt(24) + sqrt(72)/sqrt(3))/sqrt(4)).
-19*sqrt(7)/2
Simplify 1*(sqrt(26)/sqrt(18) + sqrt(13))**2.
208/9
Simplify (sqrt(8) + sqrt(128))*5.
50*sqrt(2)
Simplify (4*2*(sqrt(75) - (-1 + sqrt(75) + -3) - sqrt(75)))**2.
-2560*sqrt(3) + 5824
Simplify 6*(sqrt(66)/sqrt(6) + -1 + sqrt(11)) + -2.
-8 + 12*sqrt(11)
Simplify sqrt(5) - (sqrt(5) + 2 + -5) - 2*sqrt(125).
-10*sqrt(5) + 3
Simplify -1 + 2*sqrt(605).
-1 + 22*sqrt(5)
Simplify ((-2*sqrt(70)*6 - sqrt(70))/(-2*sqrt(810) + sqrt(810) - sqrt(810)))**2.
1183/324
Simplify 3 + (sqrt(99) + 1 + sqrt(99))**2 + 4.
12*sqrt(11) + 404
Simplify (-1*sqrt(500) + 1 + 6*(sqrt(500) - (sqrt(500) + 2) - sqrt(500)))**2.
1540*sqrt(5) + 24621
Simplify (sqrt(200)/((sqrt(5)*1 - sqrt(5)) + sqrt(5)))/(sqrt(72)*2).
sqrt(5)/6
Simplify (sqrt(147) + 0)*-1*5.
-35*sqrt(3)
Simplify -2 + (-2*sqrt(243) + sqrt(243))**2 + sqrt(243).
9*sqrt(3) + 241
Simplify (sqrt(325))**2*1 + sqrt(13) - (sqrt(1573)*1 - sqrt(13)).
-9*sqrt(13) + 325
Simplify 5 + (sqrt(2) - (0 + sqrt(6)/sqrt(3))).
5
Simplify (sqrt(1617)*1)/((sqrt(77) + (sqrt(77)*2 + sqrt(77) - sqrt(77)))/sqrt(7)).
7*sqrt(3)/3
Simplify (sqrt(70) + ((sqrt(70) - sqrt(70)*-4 - sqrt(70))*5 - sqrt(70) - sqrt(70)) - sqrt(70))/sqrt(10) + 5.
5 + 18*sqrt(7)
Simplify ((sqrt(76)*-1 - sqrt(76))*5)/(sqrt(196) + (sqrt(196)*-3 + sqrt(196) - sqrt(196))).
5*sqrt(19)/7
Simplify (sqrt(3) + 5 + (sqrt(27))**2)*6.
6*sqrt(3) + 192
Simplify 3*((sqrt(6)/sqrt(3) + 1)**2 - (1 + sqrt(2) + 3 - sqrt(2))).
-3 + 6*sqrt(2)
Simplify 2*(sqrt(847) + 2) + ((sqrt(847) + 1)*-4)**2.
374*sqrt(7) + 13572
Simplify (-5*(sqrt(1053)*-2 - sqrt(1053)) + sqrt(1053) + 5)**2*4.
5760*sqrt(13) + 1078372
Simplify -2*(-2*sqrt(252))**2.
-2016
Simplify (6*sqrt(120)/sqrt(4))/((sqrt(60) + sqrt(960))/sqrt(10) - sqrt(6)).
3*sqrt(5)/2
Simplify -5 + (sqrt(4) - (sqrt(4) + sqrt(64)))/sqrt(2)*5 + 3.
-20*sqrt(2) - 2
Simplify (sqrt(1620) - (sqrt(1620) + sqrt(1620)*-1 + sqrt(1620)))/((sqrt(10) + sqrt(90))*2).
0
Simplify ((-5 + sqrt(78)/sqrt(6))*6)**2.
-360*sqrt(13) + 1368
Simplify (1*sqrt(144)/sqrt(6))/(sqrt(48)/(sqrt(18)/sqrt(3))).
sqrt(3)
Simplify 0 + sqrt(243) + (sqrt(9)/sqrt(3)*2)**2.
12 + 9*sqrt(3)
Simplify ((sqrt(88)*3)/sqrt(2))/sqrt(4).
3*sqrt(11)
Simplify (((0 + sqrt(176))*5 - sqrt(176))**2 - (3 + -1 + sqrt(176) - sqrt(176))**2)*6.
16872
Simplify (sqrt(21)/(-1*sqrt(7)))**2 + 0.
3
Simplify (sqrt(27) - (sqrt(135)/sqrt(5) + sqrt(27))*-6) + 5 + sqrt(27)*1.
5 + 42*sqrt(3)
Simplify sqrt(2448) + (sqrt(2448) + -1 + -1)**2.
-36*sqrt(17) + 2452
Simplify -1*(sqrt(1700) + -2).
-10*sqrt(17) + 2
Simplify (sqrt(84)/(sqrt(36)/sqrt(3) - sqrt(12) - sqrt(12)) + (sqrt(7) - sqrt(35)/sqrt(5)*5 - sqrt(7)))**2.
252
Simplify ((sqrt(2057) - -5*sqrt(2057)*4) + sqrt(2057))**2.
995588
Simplify -4 + sqrt(130)/(-5*sqrt(20)/sqrt(2) - sqrt(10)).
-4 - sqrt(13)/6
Simplify -6*(3 + sqrt(13)) + -4.
-22 - 6*sqrt(13)
Simplify 6*(-3 + sqrt(7) + 2).
-6 + 6*sqrt(7)
Simplify (sqrt(19)*5*2 - 6*sqrt(76)/sqrt(4))**2.
304
Simplify 2 + -3 + sqrt(112) + 0.
-1 + 4*sqrt(7)
Simplify -1*(sqrt(17) + 0 + 4)*3.
-3*sqrt(17) - 12
Simplify (1 + sqrt(5))**2 + -3 + -3*sqrt(5)*2.
-4*sqrt(5) + 3
Simplify (sqrt(540)/sqrt(6))/(sqrt(5) + (sqrt(180) - (sqrt(180) - sqrt(180)*-2)) + sqrt(5)) + 1.
-3*sqrt(2)/10 + 1
Simplify 4*(-1 + sqrt(320) + 3).
8 + 32*sqrt(5)
Simplify ((sqrt(625) - sqrt(25))*1)/(-4*sqrt(605) + sqrt(605) - sqrt(5)).
-2*sqrt(5)/17
Simplify 1 + sqrt(2448)*4.
1 + 48*sqrt(17)
Simplify (sqrt(77)/(sqrt(99)/sqrt(144)))**2*3.
336
Simplify ((sqrt(245) + -1)**2 - sqrt(5)) + -1 + sqrt(125) + ((sqrt(5) + (sqrt(5) - (sqrt(500) + 0)))**2 + sqrt(5))*1.
-9*sqrt(5) + 565
Simplify (-5 + (-2 + sqrt(252) - sqrt(252)))**2 + 0 + sqrt(252) + -5.
6*sqrt(7) + 44
Simplify (sqrt(60) + sqrt(180)/sqrt(3))/sqrt(12) + -1 + sqrt(5) + -5.
-6 + 3*sqrt(5)
Simplify 1 + (5*(sqrt(2) + -1) - sqrt(2)).
-4 + 4*sqrt(2)
Simplify 3*((sqrt(49) - sqrt(196)/sqrt(4))/sqrt(7) + sqrt(7)).
3*sqrt(7)
Simplify ((-1*sqrt(700) - sqrt(700)) + -3)**2.
120*sqrt(7) + 2809
Simplify (-5*sqrt(125)*-1 + -4)**2.
-200*sqrt(5) + 3141
Simplify (((sqrt(26) - sqrt(416))*4)/(5*sqrt(32)))**2.
117/25
Simplify 2*(sqrt(2448) + 0)*3*5.
360*sqrt(17)
Simplify (sqrt(15)/(sqrt(147) + sqrt(3)) + -2)**2.
-sqrt(5)/2 + 261 | {
"pile_set_name": "DM Mathematics"
} |
-3. Sort f, 4, r in ascending order.
r, f, 4
Let k = -41 - 11. Let j = 51.7 + k. Sort 2/11, j, 0.5, 0.2 in decreasing order.
0.5, 0.2, 2/11, j
Suppose 0 = d + 4*c + 7, -5*d + 1 = -c - 27. Put d, 2/3, 0.5, 11 in descending order.
11, d, 2/3, 0.5
Let u(q) = -2*q**3 - 99*q**2 + 53*q + 150. Let m be u(-50). Put m, -59, -1 in descending order.
m, -1, -59
Let g be (3 + -1)*9/(-42). Let m = -278.1 + 253. Let u = 25 + m. Sort g, u, 0 in decreasing order.
0, u, g
Let j = 0.3 - 0.1. Let v = 101 - 101.78. Let y = 0.38 + v. Put -2/7, y, j in ascending order.
y, -2/7, j
Let f = -5.4 + 5. Let u(l) = -4*l**2 + 385*l + 289. Let t be u(97). Put -1/11, f, -4, t in decreasing order.
-1/11, f, t, -4
Let j be ((-36)/(-15))/((-3)/(-10)). Suppose 4 + j = 4*a, -2*a = -4*o + 54. Let i = 11 - o. Put i, 2, 1 in descending order.
2, 1, i
Suppose -108 = -21*f + 9*f. Put 4, -4, 5, f in descending order.
f, 5, 4, -4
Let b = 40 + -36. Let d(i) = i**3 - 8*i**2 + 6*i + 10. Let z be d(7). Sort 0, b, z in decreasing order.
b, z, 0
Let k = 0.2 - 0.6. Let g = -0.8 - 0.2. Let r = -181 + 178. Sort g, k, r.
r, g, k
Let b = 96 + -91. Let z = 46 - 24. Sort z, -2/5, b in ascending order.
-2/5, b, z
Suppose -g + 0*x = -3*x + 1, -9 = 3*g - 3*x. Suppose 0 = -u - 3*t - 8, -t - 4*t = 20. Let s = -9 + u. Sort -3, g, s.
s, g, -3
Let b be 14/21 - (-377)/(-39). Put -4, -5, b in descending order.
-4, -5, b
Let f(j) = -j**3 - 3*j**2 - 2*j - 10. Let y be f(-3). Sort 2/49, y, 2 in decreasing order.
2, 2/49, y
Let o = -2.46 - -0.46. Let z be 4/10*10/(-14). Sort o, z, 2.
o, z, 2
Let c = 8 - 17. Let h = c - -7. Let d = 12 - 17. Sort -3, d, h in descending order.
h, -3, d
Let g = -0.2745 - 0.1255. Let a(o) = -o + 4. Let m be a(6). Sort 87, m, g in decreasing order.
87, g, m
Let r = 0.1995 - -3.8005. Sort r, -1/2, -3.16 in increasing order.
-3.16, -1/2, r
Let k be -1 + 1 - (-4 + 8 + -9). Sort -2, 2, -1, k in ascending order.
-2, -1, 2, k
Let b be 3/9 + (-104)/(-12). Suppose -c - 11 = -b. Sort -11, -3, 1, c in increasing order.
-11, -3, c, 1
Suppose 0*p + 3*p - 20 = -4*w, -p + 5*w = 6. Let x = 47 - 51. Let s be (-3)/(x/(2 + 2)). Put -3, p, s in increasing order.
-3, s, p
Let r = -11212/319 - -1014/29. Let h = -2/313 + -35989/939. Let x = 2191/57 + h. Put r, x, -0.4 in ascending order.
-0.4, r, x
Let d = -2 + 1. Let s(h) = -h**2 - 12*h - 8. Let b be 0/(-3 - 0) + (-9 - 1). Let f be s(b). Sort 2, d, f in decreasing order.
f, 2, d
Let n = -768 + 765. Sort 5, n, -6, 0.1 in decreasing order.
5, 0.1, n, -6
Let d = -11.2 - -11.5. Sort d, 4, -0.81 in ascending order.
-0.81, d, 4
Let f = 10 + -13. Let p = f + 6. Suppose 2*s - s = -5*i + 16, 28 = -3*s + 4*i. Sort p, s, -2 in ascending order.
s, -2, p
Let d = 0.17 + -92.17. Let k = d - -96.7. Let z = -5 + k. Sort -2, -5, z.
-5, -2, z
Let y(i) = i**2 - i + 1. Let m be y(1). Let j be 2 + 0 + -1 + m. Suppose -5*l + 299 = 4*k + 290, 2*l - 2*k = 0. Put 4, l, j in descending order.
4, j, l
Suppose 5*t + 0*t = 30. Suppose 4*p - p = t. Put -3, p, -4 in decreasing order.
p, -3, -4
Let b = -118.272 - -0.272. Let m = b + 117.7. Let t = -2 - -1. Put -1/2, t, m in decreasing order.
m, -1/2, t
Suppose -4*n + 28 = -3*n + 5*v, n - 4*v = -8. Suppose n*j - 7 = -39. Put j, 5, 4 in ascending order.
j, 4, 5
Let c = 2.017 - 1.617. Let p = -6 + 10. Sort -1/4, c, p, 0.1.
-1/4, 0.1, c, p
Let j = -217 + 217. Put 5, -2/9, j, 1 in decreasing order.
5, 1, j, -2/9
Let l = 2 + -2.98. Let t = l + -0.02. Sort 0.2, t, -0.1 in decreasing order.
0.2, -0.1, t
Let c(i) = -19*i + 582. Let r be c(31). Suppose -z - 2*w + 10 = 0, 6*w = -4*z + w + 31. Put r, -4, z, 3 in decreasing order.
z, 3, -4, r
Let t = -969 + 972. Put 6/11, -2/3, t, -0.2 in increasing order.
-2/3, -0.2, 6/11, t
Let d(g) = 4*g**2 + 117*g - 88. Let q be d(-30). Let t be (-1 - 0) + 6 + 0. Put q, -3, t in descending order.
t, q, -3
Let b(z) = z**3 - 18*z**2 + 33*z - 16. Let i be b(16). Sort -5, 24, 5, i.
-5, i, 5, 24
Let u = -81 - -83. Let h be (105/6)/7*(-4)/5. Put u, 3, h in ascending order.
h, u, 3
Let v = -75 + 176. Let j = v - 103. Sort j, 4, 9 in descending order.
9, 4, j
Let u(p) = p**3 - p - 1. Let g be 3 - (-5 + (-42)/(-6)). Let a be u(g). Suppose -5*n + 5*q = 40, 5*q - 27 + 7 = 0. Put n, a, 5 in ascending order.
n, a, 5
Let r be ((-3600)/(-81))/16 + 6/(-2). Sort -0.1, -1, -77, r in increasing order.
-77, -1, r, -0.1
Let l(g) = -g**3 + 6*g**2 - 5*g + 1. Let q be l(5). Let f(i) = i - q + 2 - 5. Let c be f(4). Sort c, -2, 3 in decreasing order.
3, c, -2
Let k(p) = p**2 - 3*p - 6. Let y be k(5). Suppose -8 = 4*z - 2*v, -5*z + 0*z - v = 24. Sort y, z, 0 in increasing order.
z, 0, y
Let c = -0.9 - -1. Let j = 0.18 - c. Let z = 0.18 - j. Sort 5, 0, z in increasing order.
0, z, 5
Let a = 95 - 575/6. Let q be (84/50)/((-342)/(-60)). Let p = 2/19 + q. Put -4, p, a in descending order.
p, a, -4
Suppose -u + 2*g - 15 = -6*u, 4*u = -2*g + 10. Let d = 8 + -2. Let b be (2/d)/(1 - (-4)/(-6)). Put -3, b, u in increasing order.
-3, b, u
Let v = -6 - -4. Suppose 0*a = -10*a + 50. Suppose 0*t - 30 = 2*t + 4*b, -2*t + 4*b = -10. Sort v, a, t in increasing order.
t, v, a
Let t = 1 - 0.9. Let v = 170 - 387/2. Let c = -23 - v. Put c, t, 3 in decreasing order.
3, c, t
Let o be -3 - 28/(-6) - 31/93. Put 1/21, 0.2, -5/6, o in descending order.
o, 0.2, 1/21, -5/6
Let u = -18.7 + -57.3. Let y = u - -78. Let p = 6/7 - 31/28. Sort p, y, -1/2.
-1/2, p, y
Let a be -4 + 2/(-10) - -4. Let x = 3.81 - -0.19. Let d = -0.03 - -0.33. Sort a, d, x in descending order.
x, d, a
Let v(j) = -j**3 + 12*j**2 + j - 9. Let k be v(12). Suppose -k*g = 1 - 16. Sort 3, 0.2, 1/8, g in decreasing order.
g, 3, 0.2, 1/8
Let g = 124 + -111. Sort 2, 4, -3, g in increasing order.
-3, 2, 4, g
Let k(o) be the second derivative of -o**4/12 + o**3 + 6*o**2 + 17*o. Let q be k(8). Sort 1, 2, q, 0 in ascending order.
q, 0, 1, 2
Let l be 11/(-3) + 44/66. Let o(n) = -n - 19. Let k = -35 - -20. Let i be o(k). Sort l, 14, i in ascending order.
i, l, 14
Suppose -3*a = -2*p + 21, -5*p = 4*a + 46 - 18. Let l be (a/(-21))/(1/(-9)). Let n = -34 - -28. Put l, n, -2 in decreasing order.
-2, l, n
Suppose -164 = 5*s - 24. Let k be (-176)/s - 2/7. Sort 2, -1, k in increasing order.
-1, 2, k
Let r = -0.65 - -0.35. Let l = 28 + -28. Let m = -5 - -4.6. Sort r, l, m.
m, r, l
Let v = 11.8 - 13. Let a = v - -2.2. Sort a, 0.5, 0.9 in decreasing order.
a, 0.9, 0.5
Let q = 470 + -465. Put -2/5, q, -1/3, -0.2 in decreasing order.
q, -0.2, -1/3, -2/5
Let i = 16 - 16. Suppose -4*a - 1 - 5 = -r, -4*r + 5*a = -13. Put r, 4, 5, i in decreasing order.
5, 4, r, i
Suppose -2*l = 5*c - 4, -8*c + 3*c + l + 13 = 0. Suppose i = -c*i + 18. Put -3, -1, i in ascending order.
-3, -1, i
Let z = 19.6 - 19.62. Sort 1/2, z, 4, 2/5 in decreasing order.
4, 1/2, 2/5, z
Let o = 36 + -32. Let p be 3/((-1)/(o/6)). Put 0, 3, p in decreasing order.
3, 0, p
Let t = 90 - 97. Put 7, -3, -1/3, t in descending order.
7, -1/3, -3, t
Let a be ((-6 - -1) + -1)*24/(-48). Let d(x) = 3*x - 9. Let c be d(a). Let r(g) = g**2 + 2*g - 3. Let n be r(2). Put c, -2, n in decreasing order.
n, c, -2
Let y(r) = r**2 - 5*r + 3. Let d be y(5). Let o be (d + 87/(-30))*1. Let a = 0.02 - 4.02. Sort 0.3, o, a in decreasing order.
0.3, o, a
Let i(v) = -v**2 + 4*v + 1. Let z be i(5). Let w be 5/(-2)*z/45. Sort -2, -1, w.
-2, -1, w
Suppose -12 = -4*x - 2*w - 0*w, -w = -x. Suppose 0 = n + 3*m + 8, -m = -x + 3. Let p(k) = k**3 + k**2 - 1. Let s be p(1). Sort n, -2, s in descending order.
s, -2, n
Let k(g) = g**3 - 2*g**2 + 6. Let r be k(0). Let d be (2/(-3))/(r/9). Sort 5, 4, d in descending order.
5, 4, d
Let d(r) = -10*r - 83. Let q be d(-9). Let a(g) = g**3 - 5*g**2 - g. Let n = -8 - -13. Let c be a(n). Put 3, c, q in decreasing order.
q, 3, c
Let t = 1.671 + -1.471. Suppose -12 = 3*n - 30. Sort 3/4, n, t in decreasing order.
n, 3/4, t
Let p = -0.19 + 9.99. Let r = 1.2 + p. Let g = 11.1 - r. Put -1/6, 1/5, g in ascending order.
-1/6, g, 1/5
Let k(i) = -11*i + 200. Let d be k(18). Sort d, -31, 3, 5 in increasing order.
-31, d, 3, 5
Suppose 2*y - 2*g = -0 + 4, -4*g - 8 = 0. Put -2/13, 0.5, y in ascending order.
-2/13, y, 0.5
Let u = -10 + 18. Let w be (u - 10)/(12/15). Sort w, 2, 0.3 in decreasing order.
2, 0.3, w
Let i be 1*((-27)/(-12) - 2). Let m be 6 + (-9 - 185/(-65)). | {
"pile_set_name": "DM Mathematics"
} |
0, -7/2, -51
Sort 1, -10, 0 in decreasing order.
1, 0, -10
Sort 5, -3, -2/15 in descending order.
5, -2/15, -3
Sort -2, 1, 2/71, 27.
-2, 2/71, 1, 27
Sort 0.03, 4/5, 0.5, -1 in descending order.
4/5, 0.5, 0.03, -1
Sort 3/7, -3, -0.03, 4 in increasing order.
-3, -0.03, 3/7, 4
Put -5, 8, -32, 2 in descending order.
8, 2, -5, -32
Sort -2/3, -0.2, 15 in increasing order.
-2/3, -0.2, 15
Put 169, 2, 3 in increasing order.
2, 3, 169
Sort -0.1, 249, -4, -4/5 in ascending order.
-4, -4/5, -0.1, 249
Put -5, -3, 2, 25 in descending order.
25, 2, -3, -5
Sort 3, -11, 0 in descending order.
3, 0, -11
Sort 0.08, -2/11, -0.3, 0.5, 8/5 in ascending order.
-0.3, -2/11, 0.08, 0.5, 8/5
Sort -1, 2, -2657 in ascending order.
-2657, -1, 2
Sort 1, -42, 83, -2 in descending order.
83, 1, -2, -42
Sort 3, -10, -1 in ascending order.
-10, -1, 3
Put 2, 1, 24, -3 in increasing order.
-3, 1, 2, 24
Sort -2/3, 1/4, -2/63.
-2/3, -2/63, 1/4
Put -20, 0.016, -0.2 in descending order.
0.016, -0.2, -20
Put 13, 5, -1, 4 in descending order.
13, 5, 4, -1
Sort -2, -1/6, -2/5, 1/7 in descending order.
1/7, -1/6, -2/5, -2
Sort 0, 6, 2, -8, -5.
-8, -5, 0, 2, 6
Sort -2, -21, 2, -3, -4 in ascending order.
-21, -4, -3, -2, 2
Put 0.4, -32, -2, -4 in ascending order.
-32, -4, -2, 0.4
Sort -0.4, 8, -0.6 in increasing order.
-0.6, -0.4, 8
Sort -4, 10, 3, 4, 2.
-4, 2, 3, 4, 10
Sort 2/15, -3, 30, 0.
-3, 0, 2/15, 30
Sort -58, -13, 2 in increasing order.
-58, -13, 2
Put 6, 7, 4, -4 in ascending order.
-4, 4, 6, 7
Put 3, -1, -7, 1.6 in increasing order.
-7, -1, 1.6, 3
Put -2, -5, 7, 5, 0 in ascending order.
-5, -2, 0, 5, 7
Put 0.2, 1, 107 in decreasing order.
107, 1, 0.2
Put 1, 262, -3.6 in decreasing order.
262, 1, -3.6
Sort 113, -0.5, -1, 1/5 in decreasing order.
113, 1/5, -0.5, -1
Sort 37, -5, 3 in decreasing order.
37, 3, -5
Sort 19, -4/3, -4 in decreasing order.
19, -4/3, -4
Sort 0.03, -1/3, 2/17.
-1/3, 0.03, 2/17
Sort 11, -1, -59, -3 in ascending order.
-59, -3, -1, 11
Sort -57, -4, -5, 1/5, -3 in decreasing order.
1/5, -3, -4, -5, -57
Put 3, 1, -82 in decreasing order.
3, 1, -82
Put 10/9, -2, -5 in descending order.
10/9, -2, -5
Sort 4, 38, 128 in ascending order.
4, 38, 128
Sort 24, -2/9, 2 in decreasing order.
24, 2, -2/9
Sort -4, -0.2, -0.16, -0.1.
-4, -0.2, -0.16, -0.1
Put -1, 7.1, -35, -4 in ascending order.
-35, -4, -1, 7.1
Put 8, 13, 4, -1 in decreasing order.
13, 8, 4, -1
Sort 0.5, 39, 7, -0.4.
-0.4, 0.5, 7, 39
Sort -2, -3, 9, -4, -14.
-14, -4, -3, -2, 9
Put 6, -1122, -4 in decreasing order.
6, -4, -1122
Sort 4, 17, 3, 57.
3, 4, 17, 57
Sort 1, -42, -11 in descending order.
1, -11, -42
Sort 5, 4, 34 in decreasing order.
34, 5, 4
Put 5, 0.3, -454 in descending order.
5, 0.3, -454
Sort 1/3, -6/487, 1 in descending order.
1, 1/3, -6/487
Sort 7, 42, -2.
-2, 7, 42
Sort -16, 5, -3 in decreasing order.
5, -3, -16
Sort -3, 0, 3, -5, 89 in descending order.
89, 3, 0, -3, -5
Sort -5, 36, 4, -21, -2 in decreasing order.
36, 4, -2, -5, -21
Sort 4, 55, -9, -3.
-9, -3, 4, 55
Sort -34, 0, -2, -5.
-34, -5, -2, 0
Sort 1/3, 493, -4/7 in decreasing order.
493, 1/3, -4/7
Sort 1/23, 0.5, -5, 0.063, 2/5.
-5, 1/23, 0.063, 2/5, 0.5
Put 12.2, 55, 0.2 in decreasing order.
55, 12.2, 0.2
Put 3, 20, -7, 5 in descending order.
20, 5, 3, -7
Sort -13/5, -4, 0.5, -5/4 in increasing order.
-4, -13/5, -5/4, 0.5
Put 1/8, 0.5, -4, -21 in increasing order.
-21, -4, 1/8, 0.5
Sort -90, 0, -43.
-90, -43, 0
Sort -4.4, 2, -2, 0.04 in decreasing order.
2, 0.04, -2, -4.4
Put -10, -5, 5, -105 in descending order.
5, -5, -10, -105
Put -4/15, 0.5, 3/8, -4 in descending order.
0.5, 3/8, -4/15, -4
Put 6, 4, 3 in ascending order.
3, 4, 6
Sort -61, 0.3, 0.5 in increasing order.
-61, 0.3, 0.5
Sort 5, -5, 2, 105 in increasing order.
-5, 2, 5, 105
Sort 9, 2, -11, -8 in decreasing order.
9, 2, -8, -11
Sort 5, -1, 87 in descending order.
87, 5, -1
Put 0, 0.3, -22, 3 in descending order.
3, 0.3, 0, -22
Put 8, 2, 6, 4 in decreasing order.
8, 6, 4, 2
Sort 3, 5, 1, 452.
1, 3, 5, 452
Put 5, -2, 3, 8 in ascending order.
-2, 3, 5, 8
Sort -18, -3/4, 0, 0.4 in ascending order.
-18, -3/4, 0, 0.4
Put -5, -4, 6, 186, -2 in increasing order.
-5, -4, -2, 6, 186
Sort 7, -37, -5 in increasing order.
-37, -5, 7
Put -2/19, -122, -9, 3/7 in decreasing order.
3/7, -2/19, -9, -122
Sort 5, 2, 102, 0, -2.
-2, 0, 2, 5, 102
Put -1/2, 2/5, 1, 51 in increasing order.
-1/2, 2/5, 1, 51
Put 4, -0.09, -7/19 in decreasing order.
4, -0.09, -7/19
Put -1/8, -0.1, 2, 3/2 in ascending order.
-1/8, -0.1, 3/2, 2
Sort 1, -3, 1/2, 5.
-3, 1/2, 1, 5
Sort -0.5, 3, 0.04 in descending order.
3, 0.04, -0.5
Sort 0, 1/28, 1 in descending order.
1, 1/28, 0
Put 1, 25, -1, 5 in descending order.
25, 5, 1, -1
Put -1, 6, -13, 0, 2 in decreasing order.
6, 2, 0, -1, -13
Put -2, 1, 2, 36 in ascending order.
-2, 1, 2, 36
Sort -3, 2868, 2 in increasing order.
-3, 2, 2868
Sort 4, 3, 13 in ascending order.
3, 4, 13
Sort 1/2, -10, 0.1, -0.06 in decreasing order.
1/2, 0.1, -0.06, -10
Sort 0, -3, -5, 30 in ascending order.
-5, -3, 0, 30
Sort -2, 2/21, -4, 2/9, 2/11.
-4, -2, 2/21, 2/11, 2/9
Sort 3, -23, -13, -5, 1 in ascending order.
-23, -13, -5, 1, 3
Sort 3, -135, -4 in descending order.
3, -4, -135
Put -22, -4, 188/5 in decreasing order.
188/5, -4, -22
Put 4, -9, -77 in decreasing order.
4, -9, -77
Sort -3, 3, 6, 2, 20 in descending order.
20, 6, 3, 2, -3
Put 4, -0.4, -5, 8, 34 in decreasing order.
34, 8, 4, -0.4, -5
Put -11, -2/9, -2/17 in descending order.
-2/17, -2/9, -11
Sort -3/4, 4/7, -2810.
-2810, -3/4, 4/7
Put -2/53, -1/2, 3, -4 in ascending order.
-4, -1/2, -2/53, 3
Put -14, -5, -3 in descending order.
-3, -5, -14
Put -2, 2731, -1 in ascending order.
-2, -1, 2731
Sort 95, 3, -0.2, -5.
-5, -0.2, 3, 95
Put -3, -2/9, -3.7 in descending order.
-2/9, -3, -3.7
Put 4, 1/8, -68/9, 8 in decreasing order.
8, 4, 1/8, -68/9
Sort -47, 2/17, -2, 3 in descending order.
3, 2/17, -2, -47
Put 5, 11, 2/7, -1 in decreasing order.
11, 5, 2/7, -1
Put 72/17, 0.4, -1/2 in ascending order.
-1/2, 0.4, 72/17
Put 2, -3, -90, 3, 10 in decreasing order.
10, 3, 2, -3, -90
Sort -116, -2, -3, 4.
-116, -3, -2, 4
Put -768, 0.4, 0, -1/3 in increasing order.
-768, -1/3, 0, 0.4
Sort -1, 3, 37, 2 in descending order.
37, 3, 2, -1
Put 4, 5, -7, -6 in decreasing order.
5, 4, -6, -7
Put 0, -3, 30, -5, -2 in increasing order.
-5, -3, -2, 0, 30
Put -4, 147, -19, -3 in ascending order.
-19, -4, -3, 147
Put 1, -14, 4, 2.9 in increasing order.
-14, 1, 2.9, 4
Sort -144, 1/6, 0 in ascending order.
-144, 0, 1/6
Put 3, -2, 30 in descending order.
30, 3, -2
Sort -2, -6, 2, -5 in decreasing order.
2, -2, -5, -6
Sort -4, 0.01, -1/4, -16.
-16, -4, -1/4, 0.01
Sort 9, 2, -3, -2 in ascending order.
-3, -2, 2, 9
Sort -3, -4, 5, 1/2, -13 in decreasing order.
5, 1/2, -3, -4, -13
Sort -2/53, -4, 0.1, -3 in ascending order.
-4, -3, -2/53, 0.1
Sort -5, -3/5, -81 in decreasing order.
-3/5, -5, -81
Sort 2, -3, -109, 5 in descending order.
5, 2, -3, -109
Sort -354, -2/5, -0.1, -1, 0.1 in descending order.
0.1, -0.1, -2/5, -1, -354
Sort 0.3, -0.019, 4 in descending order.
4, 0.3, -0.019
Put 4, -7, 6, -4 in descending order.
6, 4, -4, -7
Put 0, 2, -1, 7 in increasing order.
-1, 0, 2, 7
Sort -1, 3, -99 in decreasing order.
3, -1, -99
Sort -2, 1, -4, 5 in decreasing order.
5, 1, -2, -4
Put 2, 4, -3, 3 in descending order.
4, 3, 2, -3
Sort 3, -3, 11, 2.6.
-3, 2.6, 3, 11
Sort 1573, 5, 1.
1, 5, 1573
Sort -2, 1/7, 2/3, -19 in descending order.
2/3, 1/7, -2, -19
Sort 3, 4, 268 in decreasing order.
268, 4, 3
Put 3, -29, 33 in descending order.
33, 3, -29
Sort -1/28, 0.3, -4 in increasing order.
-4, -1/28, 0.3
Put -2, 2, 139, -1/3 in descending order.
139, 2, -1/3, -2
Sort 1, 34, 4 in decreasing order.
34, 4, 1
Put 4, 12, 0, -13, 1 in decreasing order.
12, 4, 1, 0, -13
Put 65, 0, 2, -2, 5 in decreasing order.
65, 5, 2, 0, -2
Put -54, 9, -5, -2 in descending order.
9, -2, -5, -54
Sort -10, 4, -0.3, -1, 0.09 in decreasing order.
4, 0.09, -0.3, -1, -10
Sort 9, 57, -2.
-2, 9, 57
Put -4, 1, 5, 32 in descending order.
32, 5, 1, -4
Put 15/7, -5, -2 in decreasing order.
15/7, -2, -5
Put -4, 0.5, 20, 5 in decreasing order.
20, 5, 0.5, -4
Put -17, 1, 3, -2 in decreasing order.
3, 1, -2, -17
Put 31/2, -4, 5, -5 in descending order.
31/2, 5, -4, -5
Put 0, -26, 1, 2 in ascendin | {
"pile_set_name": "DM Mathematics"
} |
)*2)**2 + (2*sqrt(5))**2 + 2 + -4.
-44*sqrt(5) + 627
Simplify -3*((sqrt(2268)*1 - (sqrt(28) + -4 + (sqrt(84)/sqrt(3) - sqrt(28)))) + 1)**2.
-5451 - 480*sqrt(7)
Simplify sqrt(2) + (sqrt(6)/sqrt(3))**2 + 5 + (sqrt(8) - (sqrt(8) + sqrt(72) + sqrt(8)))/sqrt(4) - 2*(0 + sqrt(288) + 0 + sqrt(288))**2.
-2297 - 3*sqrt(2)
Simplify (((sqrt(56)/sqrt(7) - sqrt(8)) + -5 + 2*sqrt(8)*-2)*-5)**2.
2000*sqrt(2) + 3825
Simplify ((4 + -1 + sqrt(704) + sqrt(704) + sqrt(704))**2 + sqrt(704) - (sqrt(704) + 0)*3)*-4 + 2.
-25378 - 512*sqrt(11)
Simplify 4 + (1 + sqrt(2))*5 + (4*sqrt(16))/sqrt(8).
9 + 9*sqrt(2)
Simplify -4*(sqrt(192) + -2*sqrt(192)*6 - sqrt(192) - (sqrt(192) + -1)*-6)**2.
-27792 - 2304*sqrt(3)
Simplify -2 + 0 + (sqrt(5) + sqrt(35)/sqrt(847) + 4)**2.
96*sqrt(5)/11 + 2414/121
Simplify (sqrt(468) + -5*(1 + sqrt(468)) + sqrt(104)/(sqrt(40)/sqrt(5)) + -6*(sqrt(13) + -1))**2.
-58*sqrt(13) + 10934
Simplify -5 + 0 + ((sqrt(425) - (sqrt(425) - sqrt(425)*-5))**2 + -2)*1.
10618
Simplify -2*(0 + ((sqrt(156) + -1*sqrt(156))*-4)/(sqrt(12) - (sqrt(588) + -1*sqrt(588))))**2.
0
Simplify (sqrt(110)/(-4*sqrt(90)) + -3*(sqrt(1331) + -2) + 2)**2.
-1588*sqrt(11)/3 + 1742915/144
Simplify (5*5*sqrt(500))/(-3*(sqrt(4) + sqrt(16)/sqrt(4)) + sqrt(4) + 5*sqrt(64)).
25*sqrt(5)/3
Simplify ((-2*sqrt(640))/(4*sqrt(50) - sqrt(50) - sqrt(50)))**2.
64/5
Simplify (-6*sqrt(1782)*4 - sqrt(1782))/(sqrt(396)*2*-2).
75*sqrt(2)/8
Simplify (6*(-5 + 1*sqrt(162)))**2 + sqrt(2) + -5 + sqrt(2) + -1 + -5 + -3.
-3238*sqrt(2) + 6718
Simplify (3*sqrt(300)*-1 - (-1*sqrt(300) - sqrt(300))*-3)**2 + sqrt(300) + sqrt(300) + -1 + 1 + -2*sqrt(300)*3.
-40*sqrt(3) + 24300
Simplify ((sqrt(28) + -2*sqrt(1792))/(sqrt(4)*-1*-4 - sqrt(4)))**2*-4.
-700
Simplify (4 + sqrt(200) + 4 - sqrt(200) - (sqrt(200)*2*-2 - sqrt(200) - sqrt(200)))**2.
960*sqrt(2) + 7264
Simplify sqrt(1053) - (5*(2 + sqrt(1053)) + sqrt(1053)) - ((sqrt(39)/sqrt(3))**2*6 + sqrt(13))*-5.
-40*sqrt(13) + 380
Simplify ((sqrt(72)/(-3*sqrt(108)))/((sqrt(2187)*3)/sqrt(9)))**2.
2/59049
Simplify 3 + (sqrt(39)/sqrt(48) - ((-2*sqrt(104))/sqrt(8))**2 - 1*sqrt(26)/(sqrt(2) + sqrt(20)/sqrt(10))).
-49 - sqrt(13)/4
Simplify -4*((sqrt(1088) + -1 + (sqrt(17) - (-3 + 2 + sqrt(17))))*3 + 1).
-96*sqrt(17) - 4
Simplify -3 + ((sqrt(44) - sqrt(176)/sqrt(4) - sqrt(44))**2 + sqrt(44))*-1*-4.
8*sqrt(11) + 173
Simplify 6*((sqrt(132)*3*-4)/(sqrt(24)/(sqrt(2)*-1)))**2.
9504
Simplify ((sqrt(30) - sqrt(2430))*6*6)/(sqrt(294) + (sqrt(294) - -6*(-1*sqrt(294) + sqrt(294)))).
-144*sqrt(5)/7
Simplify (((sqrt(77) + sqrt(77) + (sqrt(77) + -2*sqrt(77) - sqrt(77)) + sqrt(77) - sqrt(77))*6)/sqrt(11))**2 - (2 + (sqrt(252) - (2*sqrt(252) + sqrt(252))))**2.
-1012 + 48*sqrt(7)
Simplify (sqrt(68)/(sqrt(8)/sqrt(2)) + -3 + (sqrt(17)*2 - sqrt(17)))**2 + (2 + sqrt(2448) + 1)**2.
60*sqrt(17) + 2534
Simplify -2 + (3*sqrt(38)*-2)/(-1*sqrt(32)).
-2 + 3*sqrt(19)/2
Simplify 5 + -5 + sqrt(10)/sqrt(2) - (-4*(sqrt(60) - (sqrt(60) - sqrt(2940))))/sqrt(12).
29*sqrt(5)
Simplify sqrt(85)/sqrt(5) + 0 + sqrt(17) + 5 - ((sqrt(1377) - (sqrt(1377) - (sqrt(1377) + 1))) + 3)**2.
-1388 - 70*sqrt(17)
Simplify -2*(5*(sqrt(143)/sqrt(11))**2*3 + 5).
-400
Simplify 4*(sqrt(396) + 3) - (((sqrt(1100) + -3 + -2)**2 - sqrt(1100)) + sqrt(1100)).
-1113 + 124*sqrt(11)
Simplify (-3 + sqrt(1377)*4 - (sqrt(1377) - (sqrt(1377) - (3 + sqrt(1377) + 1 + sqrt(1377)))))**2 + -2.
-252*sqrt(17) + 5555
Simplify (1 + (1*((sqrt(425)*1 + 3 - sqrt(425)) + 4))**2)*6.
300
Simplify (-5 + -2*sqrt(684)*-6 + -2 + 2*sqrt(684))**2 + 3.
-1176*sqrt(19) + 134116
Simplify ((sqrt(28)/sqrt(4)*3 - sqrt(7)) + sqrt(7)*-2 + -1 + (sqrt(343) + 2*sqrt(343))*-2)**2.
84*sqrt(7) + 12349
Simplify ((sqrt(150) - -3*sqrt(150)*-2) + sqrt(150))/(sqrt(20)/(sqrt(1440) + (sqrt(1440) - (sqrt(1440) + sqrt(1440)*-2 + sqrt(1440) + sqrt(1440))))).
-240*sqrt(3)
Simplify (3 + ((-2*sqrt(88) + sqrt(88) - sqrt(88))*-1)/(4*sqrt(392)) + -3)**2.
11/196
Simplify 6*(1 + (sqrt(468)*-1 + sqrt(468) + -5)**2).
156
Simplify 2*(sqrt(11)*-2*5 + sqrt(11) + 0 + 5 + -4*(-1 + sqrt(44)))**2.
-612*sqrt(11) + 6520
Simplify (6*(sqrt(153) - (sqrt(153) - (sqrt(153) + sqrt(153)*-2))))/(2*-3*sqrt(9))*-1.
-sqrt(17)
Simplify ((sqrt(70) - (5*((sqrt(70) - (1*sqrt(70) - sqrt(70))) + sqrt(70) - sqrt(70) - sqrt(70)) + sqrt(70)))*3)/(-4*3*sqrt(360)).
0
Simplify (sqrt(792)*2)/((4*sqrt(12))/sqrt(6)).
3*sqrt(11)
Simplify -5 + 5 + (4 + (sqrt(847) + -1)**2)*1.
-22*sqrt(7) + 852
Simplify (sqrt(33)*2*5*2)/(-2*(sqrt(44) - sqrt(11))*5).
-2*sqrt(3)
Simplify (-2 + sqrt(1792) + -4 + -1 + sqrt(1792) + -5 + -1)**2.
-832*sqrt(7) + 7337
Simplify ((sqrt(13) - sqrt(26)/sqrt(18))*6 + sqrt(52) + 0 + sqrt(13) + sqrt(39)/sqrt(3) + -2)**2.
-32*sqrt(13) + 836
Simplify 3*(-1 + -3*(-2*(sqrt(891) + (sqrt(891) - 2*sqrt(891))))**2).
-3
Simplify (6*3*sqrt(76))/sqrt(4) - (1*sqrt(3078))/sqrt(2).
9*sqrt(19)
Simplify (((sqrt(480) + -4*sqrt(480))/sqrt(12) + sqrt(40))/(sqrt(88)/((sqrt(99) - sqrt(11)) + sqrt(11))))**2.
180
Simplify -1*4*(0 + 0 + sqrt(98) + -3)**2.
-428 + 168*sqrt(2)
Simplify (sqrt(931) + 3 + -1*sqrt(931) + sqrt(931) + sqrt(931)*-1 + -1)**2 + 2.
6
Simplify ((5*-3*sqrt(18) - sqrt(18)) + 3*2*sqrt(18))**2*2.
3600
Simplify (3*sqrt(190)*1 + 2*sqrt(190)*-6 + sqrt(190))/(sqrt(10) - sqrt(40)/sqrt(16) - (sqrt(10) - (sqrt(10) - (sqrt(1210) - -2*sqrt(1210)) - sqrt(10)))).
16*sqrt(19)/67
Simplify -1 + (sqrt(720) - (2*sqrt(720) + -1)**2) + -1 + sqrt(720) + sqrt(720) + -3.
-2886 + 84*sqrt(5)
Simplify (-1 + (sqrt(1300)*-2 + sqrt(1300))*5 + 3 + -1)**2.
-100*sqrt(13) + 32501
Simplify (3*sqrt(180)/(sqrt(48)/sqrt(4)))/((sqrt(24)*2)/sqrt(8)*2).
3*sqrt(5)/4
Simplify -6*(0 + sqrt(147) + 1) + 0.
-42*sqrt(3) - 6
Simplify (4*(sqrt(48)/sqrt(2))/(4*sqrt(21)/sqrt(7) - sqrt(3)))**2.
128/9
Simplify -2 + (-5 + (sqrt(700) - (2*sqrt(7) + -2)))*2.
-8 + 16*sqrt(7)
Simplify ((sqrt(567) - -2*sqrt(567)) + 3 - (sqrt(567) - (1 + sqrt(567) + 0)))**2*-1.
-5119 - 216*sqrt(7)
Simplify (6*(-1 + sqrt(3)) - sqrt(96)/sqrt(2))**2 - ((sqrt(198)/sqrt(6))/sqrt(11) + 0).
-25*sqrt(3) + 48
Simplify (5*3*sqrt(13)*2 + -3 + sqrt(13)*1*-4)**2 + 3.
-156*sqrt(13) + 8800
Simplify 2*(4 + (-1 + 0 + sqrt(153))**2).
-12*sqrt(17) + 316
Simplify (-2*sqrt(2754)*2)/(sqrt(224)/sqrt(7) - (sqrt(72) - sqrt(72)*1)).
-9*sqrt(17)
Simplify -3 + -5*(sqrt(684) + 0) + (sqrt(684) + ((sqrt(684) - (-3 + sqrt(684) + 0)) + sqrt(684) - sqrt(684)) + -5 + sqrt(684) + 1)**2 + 2.
-54*sqrt(19) + 2736
Simplify (-4*sqrt(209)*6 + sqrt(209))/(sqrt(11)*4*6)*-3.
23*sqrt(19)/8
Simplify sqrt(153) + 2 + sqrt(153) + sqrt(153) + -2 - sqrt(102)/(-2*sqrt(96)).
73*sqrt(17)/8
Simplify -4*sqrt(55)/sqrt(176) + 4 + sqrt(40)/(-1*sqrt(8)) + -3.
-2*sqrt(5) + 1
Simplify (1 + 2*(sqrt(75)*-2 + sqrt(75)) + sqrt(75) + 3 + ((-1 + sqrt(75) - sqrt(75)) + -5 - sqrt(75)))**2.
40*sqrt(3) + 304
Simplify ((sqrt(700) + 0)*-1)**2*2 + 6*(sqrt(700) + -2 - sqrt(700)) + (sqrt(700) - (0 + sqrt(700) - sqrt(700))*-6).
10*sqrt(7) + 1388
Simplify ((sqrt(1152)*-1 - sqrt(1152))/(-3*sqrt(400) + sqrt(400) - sqrt(4)))**2.
128/49
Simplify (-5*-5*1*sqrt(68)*-5*-3)**2.
9562500
Simplify ((-3*sqrt(1408)*-3)/(sqrt(98) + -3*(5*sqrt(98) + sqrt(98))))**2.
57024/14161
Simplify (((sqrt(36) + (sqrt(36) - (sqrt(36) + sqrt(1764) + sqrt(36)) - sqrt(36)))*-1*3)/((sqrt(12) + -3*(sqrt(12) - (sqrt(72)/sqrt(6) - sqrt(12))))*2))**2.
108
Simplify 3 + (sqrt(108) - (sqrt(108) + (sqrt(108) - (sqrt(108) + 4 + sqrt(108))**2) + 5)) + 0.
90*sqrt(3) + 446
Simplify -1 + (sqrt(3520)*-2)/(2*sqrt(10)/sqrt(2))*6.
-48*sqrt(11) - 1
Simplify (-3 + -3 + -6*(1 + sqrt(108)) + -1)**2.
936*sqrt(3) + 4057
Simplify (2 + (0 + sqrt(500))*5)**2 + (1*(sqrt(5) + 1) + sqrt(5) + 0 + -2)**2.
196*sqrt(5) + 12525
Simplify ((-2*(sqrt(1700) + sqrt(1700) + -2) + sqrt(1700))*3 + 3)**2*5*-4.
-2758500 + 54000*sqrt(17)
Simplify 5 + ((4*(sqrt(13) + -1))**2 + sqrt(13) + ((sqrt(637) - -1*sqrt(637)) + sqrt(637))**2 - sqrt(26)/(2*sqrt(98))).
-435*sqrt(13)/14 + 5962
Simplify (-2*(5*(sqrt(209) + sqrt(209)*-4))/((sqrt(33)*-3)/sqrt(3)))**2.
1900
Simplify (6*sqrt(117)*-4 + sqrt(117))/(sqrt(9) + -5*sqrt(225) + sqrt(9)).
sqrt(13)
Simplify 4*((4 + -2 + sqrt(288))**2 + sqrt(200) + (6*(sqrt(200) + -2))**2).
-5528*sqrt(2) + 30544
Simplify (((sqrt(1216) - (-2 + sqrt(1216) + 4)) + 0)*-2)**2 + 3.
19
Simplify (sqrt(108))**2 - (sqrt(21)/sqrt(28))**2 - (-2 + ( | {
"pile_set_name": "DM Mathematics"
} |
ound -2446.6306 to the nearest 100.
-2400
What is 516690.09 rounded to the nearest one hundred?
516700
Round 0.000175983742 to 6 decimal places.
0.000176
What is -569213.924 rounded to the nearest 10?
-569210
Round 0.000374221285 to 6 dps.
0.000374
What is -9.7998149 rounded to 3 dps?
-9.8
What is 0.0000093774723 rounded to seven dps?
0.0000094
What is -0.448423746 rounded to 4 decimal places?
-0.4484
What is -0.0065392338 rounded to 6 decimal places?
-0.006539
Round 12418235100 to the nearest 1000000.
12418000000
What is -0.00437639007 rounded to 3 dps?
-0.004
Round 9262.461388 to one dp.
9262.5
What is 7099.5808 rounded to the nearest 100?
7100
Round 0.24669487 to two dps.
0.25
Round 34787.03809 to the nearest one hundred.
34800
Round 14253888.7 to the nearest 100000.
14300000
Round 225978.371 to the nearest 10000.
230000
Round 0.000004302212746 to seven dps.
0.0000043
What is 154500782.6 rounded to the nearest 100000?
154500000
Round 0.00000541494403 to 7 dps.
0.0000054
Round -35.357022 to one dp.
-35.4
What is -2177011.21 rounded to the nearest one hundred?
-2177000
What is 0.0092942394 rounded to four dps?
0.0093
What is 15.5634493 rounded to 3 dps?
15.563
Round -237268900 to the nearest one hundred thousand.
-237300000
What is 0.617155023 rounded to 4 dps?
0.6172
Round 256.47664 to the nearest 100.
300
Round 41.76452057 to the nearest integer.
42
Round -1.31022218 to 4 decimal places.
-1.3102
What is 949711.154 rounded to the nearest ten?
949710
Round 2492777120 to the nearest one hundred thousand.
2492800000
What is 0.0251957569 rounded to 5 dps?
0.0252
What is -6.00843705 rounded to four dps?
-6.0084
Round 1101880009 to the nearest one million.
1102000000
What is 0.002792924646 rounded to 4 decimal places?
0.0028
Round 0.000214404648 to five decimal places.
0.00021
What is 47870078.21 rounded to the nearest 1000000?
48000000
Round 12525115.064 to the nearest ten thousand.
12530000
Round 1.886229702 to two dps.
1.89
What is 0.000078551577 rounded to six dps?
0.000079
What is 0.0000268661128 rounded to 7 decimal places?
0.0000269
What is -3544804.6 rounded to the nearest 1000?
-3545000
What is -0.198248018 rounded to two decimal places?
-0.2
Round -0.98450585 to 2 dps.
-0.98
What is -4.24184048 rounded to 2 decimal places?
-4.24
Round 0.0044538666 to five decimal places.
0.00445
Round 150500.145 to the nearest 100.
150500
What is -14.111566026 rounded to two decimal places?
-14.11
What is -20223.40921 rounded to 0 decimal places?
-20223
What is 42604.699 rounded to the nearest one thousand?
43000
What is 0.0004734158888 rounded to 4 dps?
0.0005
Round 18694.76067 to the nearest one thousand.
19000
What is -242167356.3 rounded to the nearest ten thousand?
-242170000
What is -6001.913446 rounded to 1 decimal place?
-6001.9
Round 14698486.8 to the nearest one hundred thousand.
14700000
What is 0.00882477248 rounded to five decimal places?
0.00882
Round 389083739 to the nearest 1000000.
389000000
What is 72.54147483 rounded to one decimal place?
72.5
Round 0.0023826755494 to 5 dps.
0.00238
What is -2414371.43 rounded to the nearest 1000?
-2414000
What is -0.00222851295 rounded to 6 decimal places?
-0.002229
Round 0.016851834 to 3 decimal places.
0.017
Round 12.43158408 to 3 dps.
12.432
Round -41.704995 to zero decimal places.
-42
What is 2866354.97 rounded to the nearest 10000?
2870000
What is -0.0007247182 rounded to seven dps?
-0.0007247
What is -0.0369310465 rounded to 3 decimal places?
-0.037
What is 0.0026026879 rounded to four dps?
0.0026
Round -30.174476 to the nearest ten.
-30
What is -0.00000045971734 rounded to 7 decimal places?
-0.0000005
What is 2106.15603 rounded to the nearest 10?
2110
Round 0.000062524216 to seven dps.
0.0000625
What is -0.062113941 rounded to 4 decimal places?
-0.0621
What is 18279768.7 rounded to the nearest one million?
18000000
What is 6515491.52 rounded to the nearest one million?
7000000
Round -0.004825930496 to 6 decimal places.
-0.004826
What is -18225.948 rounded to the nearest 100?
-18200
Round -0.000012905413732 to 6 decimal places.
-0.000013
What is -2431782.493 rounded to the nearest one million?
-2000000
Round 78.8869515 to 2 decimal places.
78.89
Round -35.473695 to zero dps.
-35
What is -8950845.878 rounded to the nearest 1000?
-8951000
Round -127.8343774 to the nearest 10.
-130
Round -154232393.2 to the nearest 10000.
-154230000
What is -0.0146310001 rounded to 5 dps?
-0.01463
Round -0.79779128 to 4 decimal places.
-0.7978
Round -1.1589484 to two dps.
-1.16
Round -20979.8295 to the nearest one hundred.
-21000
Round 0.000005825704 to 7 decimal places.
0.0000058
What is 50.612096 rounded to the nearest ten?
50
What is -224064.667 rounded to the nearest 10000?
-220000
What is -27702850 rounded to the nearest one thousand?
-27703000
What is 15077625.2 rounded to the nearest one hundred thousand?
15100000
Round -1183.32206 to one decimal place.
-1183.3
Round 921004236 to the nearest 1000000.
921000000
What is -0.00000005737525 rounded to seven decimal places?
-0.0000001
What is -3203.9857 rounded to the nearest 1000?
-3000
Round -103531.047 to the nearest 10.
-103530
Round -78573.4745 to the nearest 1000.
-79000
Round -22405 to the nearest 10000.
-20000
What is -18.2951276 rounded to three dps?
-18.295
Round 3105.0857 to the nearest 10000.
0
What is -0.00572034474 rounded to 3 decimal places?
-0.006
Round -40.1991523 to one decimal place.
-40.2
Round 1477.86919 to the nearest one hundred.
1500
What is 198.169485 rounded to 2 dps?
198.17
Round -589397289 to the nearest 10000.
-589400000
What is 0.00000206266636 rounded to seven decimal places?
0.0000021
Round -3101880.9 to the nearest 1000.
-3102000
What is -43.4879654 rounded to 1 decimal place?
-43.5
Round -43.9870319 to the nearest 10.
-40
Round 635338910 to the nearest one million.
635000000
What is -0.09724461 rounded to one dp?
-0.1
What is -4370.58911 rounded to the nearest ten?
-4370
Round -40683.06785 to the nearest integer.
-40683
Round -0.00520642 to 5 dps.
-0.00521
Round -18.2907107 to the nearest integer.
-18
Round 0.00135729533 to 7 dps.
0.0013573
What is -1508.983943 rounded to the nearest integer?
-1509
What is -0.9848193042 rounded to 5 decimal places?
-0.98482
What is -953564.6 rounded to the nearest 100?
-953600
Round -4248.2539 to the nearest one hundred.
-4200
What is 0.0000536959702 rounded to 7 decimal places?
0.0000537
What is 463.37373 rounded to the nearest 100?
500
What is -24.4074526 rounded to the nearest integer?
-24
Round -259497300 to the nearest 100000.
-259500000
Round -144.26088275 to one dp.
-144.3
Round -0.001802577169 to three decimal places.
-0.002
What is -18787249.55 rounded to the nearest 100000?
-18800000
Round 12.1088743 to 0 decimal places.
12
What is 131326.8 rounded to the nearest one thousand?
131000
What is -0.09017721031 rounded to 5 dps?
-0.09018
What is -0.162314986 rounded to two dps?
-0.16
What is -0.000272786417 rounded to five dps?
-0.00027
Round -1138.6536 to the nearest ten.
-1140
Round 6220.802 to the nearest 10000.
10000
What is 25389683.69 rounded to the nearest ten thousand?
25390000
Round 28.070965 to the nearest ten.
30
Round 0.00001214956018 to six decimal places.
0.000012
Round -139.817116 to the nearest integer.
-140
Round 0.00127964275 to six decimal places.
0.00128
Round -470102.117 to the nearest 10000.
-470000
What is -0.00073643204 rounded to three decimal places?
-0.001
What is -0.388801874 rounded to four decimal places?
-0.3888
What is 84831.7467 rounded to the nearest 1000?
85000
Round 5973981940 to the nearest one million.
5974000000
Round 220.0961445 to the nearest 10.
220
Round 1192.51262 to the nearest 10.
1190
What is 0.03442525 rounded to two dps?
0.03
Round -2160073.89 to the nearest one hundred thousand.
-2200000
Round -1.329702127 to 1 dp.
-1.3
Round 0.00000524010594 to seven dps.
0.0000052
Round -0.00000034615591 to 7 dps.
-0.0000003
Round -357049.02 to the nearest one hundred thousand.
-400000
Round 29445289950 to the nearest 1000000.
29445000000
Round -19563970.2 to the nearest 1000000.
-20000000
What is -369.72946 rounded to the nearest 100?
-400
What is -7.30012069 rounded to two dps?
-7.3
What is 0.0000969242542 rounded to 5 dps?
0.0001
Round -66083.4124 t | {
"pile_set_name": "DM Mathematics"
} |
, 4*v - 2*w = 90. Does 7 divide v?
True
Let w be 2/(4*(-1)/(-58)). Let t = w - 23. Is t a multiple of 5?
False
Let g = -200 + 230. Is g a multiple of 15?
True
Let q = -162 - -307. Is 5 a factor of q?
True
Suppose 8*z - 187 + 11 = 0. Does 2 divide z?
True
Suppose -z + 0*z + 77 = 0. Let a = z + 53. Suppose 5*n + 15 = 0, -5*n - 20 = -5*c + a. Is c a multiple of 11?
False
Let g = 17 + 3. Suppose -m + 6*q - 2*q = -g, 92 = 4*m - 4*q. Is m a multiple of 9?
False
Let v(x) = 4*x**2 - 7*x + 12. Let m be v(4). Suppose 0 = -4*z - 2*r + m + 218, 5*z = r + 336. Is 10 a factor of z?
False
Is (-14)/(-7) + -2 + 67 a multiple of 4?
False
Suppose -13*n + 4552 = -5*n. Suppose 9*y - n - 322 = 0. Is 33 a factor of y?
True
Suppose -55*p = -44*p - 7425. Is p a multiple of 45?
True
Suppose c = 5*c. Suppose 0 = 4*u - 3*m + 3, -4*u - 2 = -5*m + 3. Suppose u = -z - c*z + 8. Is z a multiple of 8?
True
Let s = 68 + -33. Does 6 divide s?
False
Suppose -2*z + 20 = 5*d, -2*d - 2 + 10 = -z. Suppose 20 = w + d*w. Does 4 divide w?
True
Let u = 251 - 143. Suppose 27 + u = 3*g. Is 9 a factor of g?
True
Let j(s) = 3*s - 1. Let d be j(-1). Let p = d - -10. Suppose -4*x + 2*x + p = 0, 5*f = -2*x + 51. Does 9 divide f?
True
Let p(l) = -2*l**3 - 13*l**2 - 9*l - 5. Let g be p(-8). Let r = -179 + g. Is 16 a factor of r?
True
Suppose 1124 = 5*c + 4*b, -9*c + 7*c + 444 = -4*b. Is c a multiple of 21?
False
Suppose 2*a = o + 7 - 5, -5*a + 10 = 0. Suppose 5*c = -k - k + 645, o*c - 258 = -k. Does 57 divide c?
False
Suppose 0 = -3*i + 9, -i = -2*h - 38 - 13. Suppose -o = 3*o - 216. Let t = o + h. Is 10 a factor of t?
True
Is ((-95)/20 + 3)/((-3)/192) a multiple of 14?
True
Suppose 5*a + 0*a - 25 = 0. Suppose -5*f + 2*i + 26 = 0, -4*f - f = 5*i - a. Suppose f*b - 2*b - 246 = 4*n, 15 = -3*n. Is b a multiple of 31?
False
Let f be (-5)/(3*2/(-474)). Suppose 0 = -r + 3*z + 21 + 116, f = 3*r - 5*z. Does 25 divide r?
True
Let p = -94 - -364. Does 15 divide p?
True
Suppose 0*m = -9*m + 423. Let y = 8 + m. Is 17 a factor of y?
False
Suppose -49*j + 85*j - 51192 = 0. Does 18 divide j?
True
Let c = -40 + 42. Suppose -a + 12 = 2*o - 4, 41 = 5*o + c*a. Is 8 a factor of o?
False
Let d(m) = 32 + 6 + 2*m**2 + 5*m - 22. Is d(-7) a multiple of 5?
False
Let a = 3 + -7. Let y be (-1)/(-1) - 16/a. Suppose -2*l - y*k = -134, -13 - 3 = -4*k. Is l a multiple of 19?
True
Let o = 661 + -288. Does 28 divide o?
False
Let u be ((-2)/(-3))/(4/6) + 25. Let s = u + -2. Does 12 divide s?
True
Let q(y) = -8*y - 5. Let c be q(-4). Suppose -2*p + 0*j + c = -j, -5*p = 3*j - 40. Is p a multiple of 4?
False
Suppose -64 = -3*i - i - 2*p, -5*p = 4*i - 70. Suppose -m + 9 = 2*g, -3*m + 10 + i = 5*g. Is (9/(-2))/(m/(-20)) a multiple of 9?
True
Suppose -13*x = -5691 - 4059. Is x a multiple of 12?
False
Let r(a) = 2*a - 10. Let l be r(7). Suppose 0*b - 4 = l*b. Let v(c) = -44*c**3 - c**2 - c - 1. Is 9 a factor of v(b)?
False
Suppose 2*j = -4*n - 19 + 59, -j + 30 = 4*n. Let h(u) = u**3 - 9*u**2 - 4*u. Is h(j) a multiple of 19?
False
Suppose -108 = -4*x + 5*w, 8*x - 3*x - 135 = -3*w. Does 3 divide x?
True
Is 14 a factor of (10/3 + 0)*117/3?
False
Let s(q) = q**2 - 6*q - 9. Let r(w) = 4*w + 0*w**2 - 5*w + 2*w**2 - w**2 + 3. Let j be r(3). Is 6 a factor of s(j)?
True
Suppose -5*o + 684 = 2*j - 71, -3*j + 750 = 5*o. Suppose 4*g + 3*w = 50 + o, 5 = 5*w. Is g a multiple of 19?
False
Let q be (-1)/(-2)*(0 - 0). Suppose q = -3*k + k - 94. Let p = -2 - k. Is 24 a factor of p?
False
Suppose 4*m = -5 - 7, 5*m + 21 = -g. Does 17 divide 4 - (-844)/6*(-9)/g?
False
Suppose -5*z = -4*a - 154, -2*z - 2*a = 2*a - 84. Suppose -z = 7*m - 118. Is m a multiple of 6?
True
Suppose 0*b = -6*b - 72. Is -98*(10/b - (-20)/(-30)) a multiple of 49?
True
Let z = -183 + 1494. Suppose 0 = 2*p - s - 525, 3*p = -2*p + 3*s + z. Suppose 3*w + w = p. Is w a multiple of 21?
False
Suppose 3*y = -5*r + 51 + 152, -3*r + 115 = -5*y. Suppose 3*d + 115 = 2*f + r, -4*d - 20 = 0. Is f a multiple of 6?
True
Suppose 0 = -3*c + r + 4*r - 6, -4*c - 43 = 5*r. Let x(o) = o + 10. Let v be x(c). Suppose 3*f = j + 48, -v*f + 36 = 3*j - 0*j. Does 10 divide f?
False
Suppose -3*f + 248 = -2*q, 0*q + 3*q + 3*f + 357 = 0. Let n = q - -200. Does 13 divide n?
False
Suppose u - 4*j = 39, -5*j + 72 = 2*u + 2*u. Suppose -2*l + u = -13. Does 6 divide l?
True
Suppose 0 = 5*p + 3*c - 2040, p - 2*c - 408 = -6*c. Is 9 a factor of p?
False
Suppose 9 = -2*w - 3*n, w + 2*n + 6 = 2*w. Suppose 3*c + 3*q - 90 = w, 3*c - 2*c = -5*q + 10. Is c a multiple of 5?
True
Let n be ((3 + 0)/1)/((-3)/3). Is 11072/88 - (-4)/22 - n a multiple of 26?
False
Let p(u) = 1 + 0*u**2 - 11*u + 2 + u**2. Does 3 divide p(11)?
True
Suppose -3*p - 1 = 2*w - 3*w, p = -3*w + 3. Is ((-210)/(-28))/(w/8) a multiple of 16?
False
Suppose 0 = t - 3*q - 48, 4*q + 97 = 5*t - 121. Is t a multiple of 2?
True
Is (-10 + 1)/((8/178)/(-4)) a multiple of 41?
False
Suppose p + 5*c - 119 + 34 = 0, 4*c = -5*p + 404. Suppose -5*u - 5*g + 65 = -p, 0 = 3*u - 4*g - 52. Is u a multiple of 23?
False
Let f = -1348 + 1910. Does 9 divide f?
False
Let u(b) = b**3 - 3*b**2 + 6. Let k be u(3). Let v(w) = 2*w**3 + 3*w**2 - 16*w + 4. Is v(k) a multiple of 56?
True
Let w = 1266 + -252. Is 14 a factor of w?
False
Suppose -8*f = -4*f. Let k(g) = g**2 - g + 4. Let y be k(f). Is 11 a factor of 12*y*6/9?
False
Suppose 4*h = 2*h. Suppose -5*z + 2*i + 820 = h, 3*z = 6*i - i + 511. Is z a multiple of 27?
True
Let b(j) = -36*j**3 - 2*j**2 + j + 2. Suppose -3*q = -7 + 10. Is 5 a factor of b(q)?
True
Let f(d) = 10*d**2 - 2*d + 2. Let b be f(1). Suppose b*x - 317 = 883. Is 30 a factor of x?
True
Suppose -3*o = -21 - 84. Let g = o + -28. Is g even?
False
Let f(x) = 15*x**2 - 10*x - 6. Let s be f(-4). Suppose -s = -4*m + 374. Does 18 divide m?
True
Let l(r) = 2*r**3 - 33*r**2 + 51*r + 22. Is l(17) a multiple of 19?
True
Let a(i) = -27*i + 1. Let p be a(-4). Let q = p + 71. Is 19 a factor of q?
False
Let n(t) = -t**3 - 8*t**2 - 9*t - 4. Let p be n(-7). Let y = 145 + -172. Does 25 divide y/(-18)*p*5?
True
Suppose 0 = z + 4*z + 2*q - 1068, -1040 = -5*z + 5*q. Suppose -4*l + 5*d + 347 - 123 = 0, -4*l + 2*d = -z. Is l a multiple of 5?
False
Let k be 36/8 + 15/(-10). Suppose k*w - 268 - 47 = 0. Is 12 a factor of ((-10)/(-7))/(3/w)?
False
Let f = 87 + -30. Let w be f/12 - 3/4. Suppose -w*z = -196 - 52. Does 17 divide z?
False
Let n = -112 + 80. Let r be (n/(-6))/((-18)/(-27)). Suppose -r*m = -11*m + 90. Is m a multiple of 10?
True
Suppose -8*f = -6*f. Let y(z) = z**3 + z + 276. Let o be y(f). Suppose 0 = -3*d + 7*d - o. Is 25 a factor of d?
False
Let p = -59 + 33. Suppose 149 = 5*b - 46. Let g = b + p. Is 10 a factor of g?
False
Suppose 7*s + 15 = 12*s. Suppose 2*m = 3 + s, 2*m - 801 = -5*y. Does 24 divide y?
False
Let z(a) = -a**2 + 7*a - 5. Let f(s) = -s**2 + 8*s - 6. Let w(o) = -4*f(o) + 5*z(o). Let c be w(2). Let j = c - -5. Does 3 divide j?
True
Suppose -t - 267 - 446 = -5*l, -3*l - 5*t = -411. Does 26 divide l?
False
Let x = 914 - 610. Is 8 a factor of x?
True
Let f(q) = -q**3 + 11*q**2 + 22*q - 135. Does 9 divide f(7)?
False
Suppose -3*s + 923 = 2*l, -l + 3*s + 461 = 5*s. Does 68 divide l?
False
Suppose 4*a + 206 = 302. Is a a multiple of 11?
False
Suppose 0*o + 4*y = 5*o + 50, -2*y - 10 = 0. Is (o/(-28))/((-1)/(-90)) a multiple of 15?
True
Let z(l) = l**2 + 5*l + 12. Let r be z(-8). Let o = 40 - r. Suppose o*p - 43 = 3*p + 5*d, p + 3*d - 19 = 0. Is p a multiple of 7?
True
Let o(v) = -2 + 52*v - 1 + 2 - 3. Is 17 a factor of o(1)?
False
Suppose c - 2*w = 26, 5*c + 2*w = -w + 91. Suppose -4*o - 5*f + 23 = -3*o, 0 = -5*f + c. Is 3 a factor of o?
True
Let m = 188 + -153. Does 6 divide m?
False
Let k be 2/11 + (155/(-55))/(-1). Suppose -a + 5*v + 80 = 0, k*a - 200 = -2*v + 23. Is 15 a factor of a?
True
Let z(s) = -s - 1. Let b be z(-5). Let a = 469 - 352. Suppose -b*n - 5*c + a = -91, 5*n + 3*c = 273. Does 19 divide n?
True
Let r be 26/(-4)*(25 + 1). Let h = r + 272. Does 11 divide h?
False
Let o(y) = -3*y + 8. Let x be -3*1 + (-335)/(-5). Let v be ((-9)/12)/(4/x). Is o(v) a multiple of 22?
True
Let f(z) = 67*z + 1. Let h(p) = p**2 - 9*p + 13. Let i be h(9). Let n(k) = -k**2 + 14*k - 12. Let x be n(i). Is f(x) a multiple of 31?
False
Let t be (36/(-126))/((-1)/14). Suppose -221 = -t*g + 3 | {
"pile_set_name": "DM Mathematics"
} |
080*v**2 wrt v.
-535877520*v
Find the third derivative of 452774*b**6 - 4361547*b**2.
54332880*b**3
Differentiate d*k**2 - 819*d*k - 4*d - 15303*k**2 - 30614120 wrt k.
2*d*k - 819*d - 30606*k
Find the third derivative of -578*n**4 + 800*n**3 - 11*n**2 - 258958*n wrt n.
-13872*n + 4800
What is the third derivative of 187560726*n**4*s + n**3*s**3 + 62768904*n**2*s**3 wrt n?
4501457424*n*s + 6*s**3
Find the second derivative of -8315889*g**3 - 14896062*g.
-49895334*g
What is the third derivative of -337*l**6 + 10385*l**4 + 3503439*l**2 wrt l?
-40440*l**3 + 249240*l
Find the second derivative of -10808031*p**2 - 73048796*p.
-21616062
What is the third derivative of -5241187*x**3 + 340347*x**2 wrt x?
-31447122
Find the first derivative of 6*q**3*r + 3*q**3*u*x + q**2*u*x + q**2 + 1800*q*r*u*x - 2*q*u*x + q*x + 952*r*u - 231*u*x - 5*u wrt r.
6*q**3 + 1800*q*u*x + 952*u
Find the second derivative of -2426323*b**2*g - 3*b**2 + 2193072*b - g wrt b.
-4852646*g - 6
What is the second derivative of -1632548*m**2 + 2073187*m wrt m?
-3265096
What is the derivative of -f**4 - 3882586*f**3 - 2*f**2 - 49417564 wrt f?
-4*f**3 - 11647758*f**2 - 4*f
What is the first derivative of -3*b**3 - 30224897*b**2 - 127641489 wrt b?
-9*b**2 - 60449794*b
What is the derivative of c**3 - 961*c**2 - 4587*c - 182877483 wrt c?
3*c**2 - 1922*c - 4587
Find the second derivative of -149009901*p**3 + 88492014*p wrt p.
-894059406*p
What is the derivative of -4227*c*h*n - 6*c*h*w - 5*c*h - 3*c*n*w - 406*h*n*w - 13729*h + 2*w wrt n?
-4227*c*h - 3*c*w - 406*h*w
What is the first derivative of 339267*q**3 + 2*q**2 - 9*q + 45430953?
1017801*q**2 + 4*q - 9
Find the first derivative of -7526461*p + 2013226.
-7526461
Find the first derivative of -9717783*s**2*t**3 - 2431304*s**2 - s - 4*t**3 wrt t.
-29153349*s**2*t**2 - 12*t**2
Find the second derivative of 30139844*c**3*z**2 - 3*c**3*z + c**2 - 27823*c*z - z wrt z.
60279688*c**3
Differentiate -213845738*d*w - 1206*w + 104079 wrt d.
-213845738*w
Find the first derivative of -909*u**4 + 3123*u**3 + 3*u**2 - 47907579.
-3636*u**3 + 9369*u**2 + 6*u
What is the first derivative of -542338884*f*m**2 - 7*m**2 + 2725*m - 5071 wrt f?
-542338884*m**2
What is the derivative of 4*j**4 + 293705*j**3 + j**2 - 472609489 wrt j?
16*j**3 + 881115*j**2 + 2*j
What is the third derivative of 1526306*t*w**3*y**2 - 2*t*w*y**2 - 23*t*y**2 - 14*w**3*y**2 - 28298*w**2*y**2 - 1 wrt w?
9157836*t*y**2 - 84*y**2
What is the second derivative of -33*t**4 - 1064140*t**2*w + 7*t*w + 24*t - 18*w - 32 wrt t?
-396*t**2 - 2128280*w
Find the first derivative of -9*s**2 + 125264*s + 103313666.
-18*s + 125264
What is the third derivative of 34*j**3*x**4 + 287*j**3*x - 1057*j**3 - 5539*j**2*x**5 + 6*j**2*x**2 wrt x?
816*j**3*x - 332340*j**2*x**2
What is the third derivative of -70245150*y**3 - 2*y**2 + 205*y + 27342?
-421470900
Find the first derivative of -14*w**4 + 6*w**2 + 1517284*w + 722916885.
-56*w**3 + 12*w + 1517284
What is the second derivative of -85078797*q**2 - 3875238*q - 7 wrt q?
-170157594
Differentiate -5*o**3 - 456079*o - 12532891.
-15*o**2 - 456079
What is the second derivative of -875617*h**2*v*z - 2*h**2*v + 7*h**2 + 6*h*v*z - 7*h*z + 4*v*z - 20720*v wrt h?
-1751234*v*z - 4*v + 14
Find the third derivative of 8*r**4 - 53182709*r**3 - 21934*r**2 + 404*r + 1.
192*r - 319096254
Find the third derivative of 16*j**2*n**3 + 2*j**2*n - 8*j*n**3 - 281895*j*n**2 - 50956*n**3 + n**2 + 2*n + 2 wrt n.
96*j**2 - 48*j - 305736
What is the derivative of 1271*a**3*x**2 - 1420*a**3 + x**2 + 899619 wrt a?
3813*a**2*x**2 - 4260*a**2
Find the second derivative of -2901*m**3 + 1438*m**2 - 3529099*m wrt m.
-17406*m + 2876
Find the second derivative of 10*c*v**2*z + 4041*c*v*z**3 - 342279*v**2*z**3 + 215*v*z**3 + v*z**2 wrt v.
20*c*z - 684558*z**3
Find the third derivative of 21503410*t**6 - 371001*t**2 - 2*t + 1.
2580409200*t**3
What is the derivative of -193079270*h + 142509304?
-193079270
Find the second derivative of -14*n**3*o**3 - 882627*n**3*o - n*o**3 + 10*o**3 + 1684*o**2 wrt n.
-84*n*o**3 - 5295762*n*o
What is the second derivative of 352986234*a**2 - 2*a + 215501195?
705972468
What is the third derivative of 2*k**4 + 6503727*k**3 + 2*k**2 + 94997949 wrt k?
48*k + 39022362
What is the second derivative of 57*i**3*x + 25651*i**2*x + 2*i**2 + 15336249*i*x wrt i?
342*i*x + 51302*x + 4
What is the third derivative of -4099787*b**3 + b**2 - 5326*b - 1487?
-24598722
What is the second derivative of -1261709*g**3 - 25329*g - 1583?
-7570254*g
What is the third derivative of -334856884*a**6 + 37651854*a**2?
-40182826080*a**3
Find the first derivative of 12043*r**2 - 941*r + 78156489 wrt r.
24086*r - 941
Find the third derivative of 102*s**3*w**3 + 2*s**3*w**2 + 3*s**3 + 308*s*w**2 + 178243*w**3 + w**2 - 12*w wrt w.
612*s**3 + 1069458
What is the third derivative of 8*g**5 + 19*g**4 - 115*g**3 + 437058*g**2 - 10?
480*g**2 + 456*g - 690
What is the third derivative of 2*d*w**3 + 3*d*w**2 + 8083*d*w - 4216852*w**3 - 11*w**2 wrt w?
12*d - 25301112
What is the third derivative of 106*y**5 - 31*y**4 + 8143*y**3 - 5*y**2 + 33*y + 192190?
6360*y**2 - 744*y + 48858
Differentiate -59829*g*k**3*t - 71*g*k - 2*k**3 + 11*k**2 + 75*t**2 - 674 wrt t.
-59829*g*k**3 + 150*t
What is the first derivative of -226693298*x + 65820659?
-226693298
Differentiate 3*a*z**2 - 2712*a*z - 56848235*a + 45*z**2 - 5*z with respect to z.
6*a*z - 2712*a + 90*z - 5
What is the derivative of 2*f**3 - 11467*f**2 - 60*f + 4191743 wrt f?
6*f**2 - 22934*f - 60
Find the third derivative of -918831103*s**3 - 725038874*s**2.
-5512986618
Differentiate -335743607*p + 172930684 with respect to p.
-335743607
Differentiate 7*z**4 - 312741*z - 3312952.
28*z**3 - 312741
Find the second derivative of 55*f**3 - 1499773*f**2 + 51316*f + 29 wrt f.
330*f - 2999546
Differentiate 9*m*q**2 + 6131*m*q - 7960660*m - q**2 + q wrt q.
18*m*q + 6131*m - 2*q + 1
What is the derivative of 781*y**3 + 58*y**2 + 2*y - 8979291 wrt y?
2343*y**2 + 116*y + 2
What is the second derivative of -19*f**2*g*l**2 - 604*f**2*g*l + f**2*l**2 + 2*f**2*l - 143*f*g + 17047*g*l**2 + 2*g*l wrt l?
-38*f**2*g + 2*f**2 + 34094*g
What is the second derivative of -109109710*a**2 + 56042412*a wrt a?
-218219420
What is the third derivative of 66978041*q**5 + 3*q**4 - 721736028*q**2?
4018682460*q**2 + 72*q
What is the second derivative of -88179123*t**3 + 3879884*t?
-529074738*t
Find the second derivative of 920484542*h**2 - 76541360*h - 3 wrt h.
1840969084
What is the second derivative of 1002*s**4 - 982*s**3 + 3880611*s?
12024*s**2 - 5892*s
Find the second derivative of 12*b**2*k*v**2 + 818*b**2*k*v - 141*b**2*k - 126866*b*k*v**2 - 3*b*v - k wrt v.
24*b**2*k - 253732*b*k
Find the first derivative of -68832442*h**3 - 62495707.
-206497326*h**2
What is the third derivative of 1667*w**6 - 8179*w**3 + 14*w**2 + 28577*w + 4?
200040*w**3 - 49074
What is the first derivative of -171329*n**3*r - 1539*n**3*s + 2*n**3 - 29*n**2*r*s - 5*r*s + 6*r wrt s?
-1539*n**3 - 29*n**2*r - 5*r
Differentiate 34825881*d**2 + 49405477 wrt d.
69651762*d
What is the first derivative of 706756771*q - 1194977952?
706756771
What is the second derivative of 62*i*w**3 + 4*i*w**2 + i + 9*w**3 - 24*w**2 - 5048989*w wrt w?
372*i*w + 8*i + 54*w - 48
Find the third derivative of -6215359*o**3 - 2336903*o**2 - 3*o.
-37292154
Differentiate 46986893*l*q + 78885*l - 315 with respect to q.
46986893*l
Find the third derivative of -771*o*z**3 + 2*o*z**2 - 621*o + 2283*z**4 - z**2 - 9*z - 10 wrt z.
-4626*o + 54792*z
Find the third derivative of 61*c**2*r**4 - 25*c**2*r + 4502*c*r**4 - 2*c*r**2 + 4*c - 406*r + 10 wrt r.
1464*c**2*r + 108048*c*r
Find the second derivative of -242400385*t**2 - 58*t - 4506213 wrt t.
-484800770
Find the second derivative of -3986877*d**4 + 5640375*d wrt d.
-47842524*d**2
What is the second derivative of -4409910*j**2 - 341564*j - 23 wrt j?
-8819820
Find the third derivative of -3339873*h**3*i**2 - 2*h**3 + 3*h**2*i**2 - 98032*h**2 + 18*h*i**2 wrt h.
-20039238*i**2 - 12
What is the third derivative of 142356296*q**5 - 604542760*q**2?
8541377760*q**2
Find the third derivative of 298322441*r**3 + 3446684*r**2 wrt r.
1789934646
Find the third derivative of 4257355*n**3 + 1265441*n**2 + 5.
25 | {
"pile_set_name": "DM Mathematics"
} |
r - 0. Let w be (0 + 1 + -10 + 9)*g. Solve w = -3*b - 9 - 0 for b.
-3
Let q be (11 - (8 - -8))*28/(-20). Solve -51 + 30 = q*g for g.
-3
Let a be 30*(-1 - 21/(-18)). Suppose 0 = a*k - 3*g - 14 - 4, 5 = -5*g. Solve -k + 13 = 2*x for x.
5
Suppose 0 = -2*r + 2*l - 4*l + 22, 3*l = -5*r + 53. Suppose 42*f - 7131 + 22251 = 0. Let o = 365 + f. Solve o*b - r = 3*b for b.
5
Let q(i) = 2*i - 35. Let d be q(18). Let n be d*(3 + -1 + (4 - 6)). Let l(a) = a**3 - 7*a**2 - 7*a - 2. Let t be l(8). Solve 3*r - t*r - 3 = n for r.
-1
Let u = -37898 + 37904. Solve -u*n + 40 = -8 for n.
8
Suppose 0 = c - 253 + 65. Let h = c - 163. Solve h*f = 21*f for f.
0
Suppose 3*p + 125 = 2*f, -2*p + f = 2*f + 95. Let j be (p/6)/((-6)/8). Solve 0*n + j*n = -20 for n.
-2
Suppose -38 = -6*s - 14. Suppose y + 2*b = 14, -y - b = -s*b + 6. Solve 0 = -8*j + 11*j - y for j.
2
Let u(r) be the first derivative of r**3/3 - r - 13. Let v be u(2). Suppose -v*q = -3*q + 3*q. Solve q*h = h for h.
0
Let h be 0 - -4 - (-4)/4*-6. Let b be 1 + 3 + 1 + h. Suppose b - 3 = 6*t. Solve -l = -t*l for l.
0
Let z be (225/(-20))/3*4/(-3). Let n be 4 - (1560/z)/(-6). Solve -26 = -6*f - n for f.
-5
Let n(t) = -t**3 + 16*t**2 - 6*t + 41. Let s be n(13). Let m = 476 - s. Solve 25 = -a + m*a for a.
5
Let i(l) = 3*l**2 + 131*l + 466. Let p be i(-40). Let b = 17 - -7. Solve -b*c = -p*c for c.
0
Let w be (((-3)/(-6))/(-1))/(2/(-116)). Let s = w - 24. Suppose s*l = 2*n - 29, 25 = 7*n - 2*n - 3*l. Solve 0 = 6*y - n*y + 4 for y.
-1
Let m = -129 + 134. Suppose 4*z - 7*z - t = -4, -22 = z + m*t. Solve -o + 0 = z for o.
-3
Let d be ((20/3)/4)/(5*13/2574). Solve 0 = -y + d - 68 for y.
-2
Let p(t) be the second derivative of -t**5/20 - 7*t**4/12 - 13*t**3/6 - 4*t**2 - t - 8. Let g be p(-5). Solve -g*c = -10*c - 6 for c.
-2
Suppose 51*b + 17 = 228 + 197. Solve 6*i = 44 - b for i.
6
Suppose 56*v - 54*v = 166. Let h = -141 + v. Let m = h + 65. Solve -m = 3*k - 4 for k.
-1
Let b = 195 - 195. Suppose 3*a + 5*r - 40 = b, -4*a + 2*r + 25 = 3*r. Solve 7*w + a = 2*w for w.
-1
Let o be 6/(-28)*-2 - -180*(-176)/(-1540). Solve 52 = o*g - 32 for g.
4
Suppose -52*d + 19*d = -264. Solve 4*z = 6*z - d for z.
4
Suppose -118*y + 151*y - 429 = 0. Solve y*q + 52 - 13 = 0 for q.
-3
Let n(r) = -r**2 + 121*r - 1393. Let m be n(13). Solve 46 = m*s + 68 for s.
-2
Let d(t) = 6*t + 4 + 2 + 5 + 5*t**2 + t**3 + 0. Let j be d(-4). Suppose -3*s = 2*r + j*r - 10, -4*s = -3*r - 23. Solve 4*m - 1 = -s for m.
-1
Suppose -130*f + 25*f = 65*f - 37060. Solve -227 = 9*v - f for v.
-1
Let n(y) = -2*y**2 - 24*y + 85. Let a be n(3). Let w(l) = -14*l - 64. Let v be w(a). Solve -6*t = -24 - v for t.
5
Let l be (-2)/5*(0 + -5). Let a(p) = -17*p + 4. Let d be a(-1). Suppose -3*u + 26 = 2*o, -3*u = -0*o + 3*o - d. Solve l*y + 2*y = -u for y.
-3
Let n(u) be the third derivative of -u**5/60 - u**4/3 + u**3/6 + 10*u**2. Let g be n(-7). Suppose g = x - 1. Solve 4*t - 20 = x*t for t.
-4
Let x = 468 - 451. Suppose 2*w - 21 = -b, b = 3*w - x + 18. Solve 0 = 10*f + 17 + b for f.
-3
Let h be (32 - (-3744)/(-120))/(4/1010). Solve -15*f - h = -217 for f.
1
Let g(m) = -12*m**2 - 323*m + 27. Let t be g(-27). Solve 55*k + 6*k + 244 = t for k.
-4
Let a = -34189 + 34192. Let j be (-4)/10 - (-51)/15. Solve 0 = -0*o + j*o - a for o.
1
Let m be 40/48*6*4. Solve -19*x + m*x = -5 for x.
-5
Suppose 16*w + 81 = 25*w. Suppose w*f - 36*f + 108 = 0. Solve -32*n = -34*n - f for n.
-2
Let r be (-22)/16*-2 - (-51)/(-68). Suppose 4*v - 3*b = 67, 0 = -0*v + v - r*b - 23. Solve -v*h = -7*h - 24 for h.
4
Let h = 0 - -12. Let q(j) = -j**3 - 7*j**2 - 18*j - 35. Suppose -104*g - 45 = -95*g. Let r be q(g). Solve -2*m + r*m = -h for m.
-4
Suppose 97 - 124 = -9*t. Suppose 0 = 4*d + 2*y - 8, 3*d - y - t = 3. Solve -21*g + d = -23*g for g.
-1
Let u be (-189 - -195)*(2/(-3))/(2/(-5)). Solve u*z = 26*z + 48 for z.
-3
Let j(l) = -7 - 31 + 2*l + 119. Let s be j(-39). Solve 0 = 4*z - 11 + s for z.
2
Let b = -499 + 954. Let y = -452 + b. Solve l - y*l = 2*l for l.
0
Let w = 55 + -210. Let b = w - -163. Solve -b*n + 30 = -2*n for n.
5
Let c = -72 + 38. Let k = -26 - c. Let p be 12/k - 1/2. Solve p = 4*l + 13 for l.
-3
Suppose 21*s - 26*s = 10. Let w = s - -20. Solve -10*c - w = -4*c for c.
-3
Suppose 5*s - 4*p = 18, 0 = 5*s - 5*p - 20 + 5. Let u be (13/8 - 2) + s/16. Let y be (-8)/((-1)/(2/4)). Solve u = -f - y*f for f.
0
Suppose -72*k + 8242 + 1134 = -1136. Solve -101 = -15*c - k for c.
-3
Suppose 0 = 5*t + 10, 6*t - 2*t = 3*s - 2588. Solve s*u - 8 = 856*u for u.
2
Let t(m) = m**2 - 13*m - 86. Let k be t(18). Suppose -5*h + 6 = -2*h - 2*f, -k*h + 2*f + 8 = 0. Solve -h*y = -y - 5 for y.
5
Let x(i) = -3*i**2 + 79*i - 85. Let d be x(25). Solve 27*c + d = 32*c for c.
3
Let i(c) = 41*c**2 + 3*c + 12. Let n(d) = 10*d**2 + d + 3. Let b(t) = -2*i(t) + 9*n(t). Let f = 416 - 417. Let k be b(f). Solve -3*r - r = -k for r.
2
Let f(u) = u**2 + 18*u + 6. Let z be f(-15). Suppose 2*d - d + 36 = 0. Let r = d - z. Solve -a + r*a = 0 for a.
0
Let d = 592 + -1051. Let s = d - -466. Solve -3*k - 19 = -s for k.
-4
Suppose -66 = -4*i + 2*o, 71*i + 3*o = 66*i + 77. Solve 1714*c - 1722*c = -i for c.
2
Suppose 0 = 5*s - w - 71, s - 88 + 53 = -5*w. Solve -21*f = -s*f for f.
0
Let z(b) = -b**2 + 97*b - 450. Let q be z(5). Solve -28*w + 30*w - q = 0 for w.
5
Suppose -5160 = -253*y + 912. Solve y*a - 273 = -15*a for a.
7
Let p(f) = 2*f**3 + 63*f**2 + 16*f - 301. Let n be p(-31). Solve -n = -2*s - 164 for s.
0
Let b = 13064 + -12814. Solve -17*l + 67*l + b = 0 for l.
-5
Let r be -9 - -13 - (-414)/(2 - 1). Suppose -16 = -420*a + r*a. Solve a = -s + 4 for s.
-4
Suppose 5*y - 40 = -7*x + 2*x, 0 = 2*x - 8. Suppose -y*q = 5*c + 52, 5*q = 5*c + 23 + 2. Let g be 3 - c/(-8)*(-1 + 0). Solve -3*z + 5 = -g*z for z.
-5
Let b(w) = -w**3 + 8*w**2 - 5*w - 5. Let h be b(7). Suppose h*j - 2*j = 35. Suppose j*u = 2*o + 25, -3*u + 3 = 4*o + 14. Solve -5*v = -u*v for v.
0
Suppose 3*g = 12 + 12. Suppose 2*c + g - 12 = 0. Let l = 143 + -133. Solve 0 = -4*h + c*h - l for h.
-5
Suppose -3*i - 5*z = -17, 5*i + 2*z + 19 = 79. Let w be 388/(-582)*((-290)/14 + (-8)/28). Solve -4*v = i - w for v.
0
Let p be (10 + -8 - -9) + -9. Solve p*v + 7 = 17 for v.
5
Let k = -2929 + 2938. Solve k*u + 13 = -14 for u.
-3
Suppose -2*j - 7*u = -2*u - 4, 0 = -5*j + 2*u + 68. Solve j*d + 29 + 31 = 0 for d.
-5
Suppose 0 = -4*h + 5*p + 1 + 14, -4*h - 5*p + 25 = 0. Suppose -2 = 551*g - 567*g - 2. Let l be (2 + -4)/(3/(-15)). Solve g*q = -h*q - l for q.
-2
Let c = 33 + -16. Let i be 10 - (c - 2)/(3/1). Solve -6 + i = -w for w.
1
Let d(p) = 2*p**3 - 78*p**2 + 8*p - 274. Let j be d(39). Solve 0 = 39*q + 1 + j for q.
-1
Suppose -3*p + 124 = -k - 6*p, 0 = -4*p - 20. Suppose 3*h + 4*n = -324, 10*n = 3*h + 12*n + 324. Let c = h - k. Solve 3*j + c = -2 for j.
-1
Suppose -480 = -190*x + 3890. Solve 119 = -x*g + 6*g for g.
-7
Suppose 4*s + 278 = -5*m + 2*m, 0 = 5*s + 4*m + 347. Let x = s - -62. Let b be (-4)/(-1 - x/12). Solve -w + b = -5*w for w.
-4
Suppose 10*u - 270 = u. Let x be (12/10)/(42/u - 1). Solve -x*v + 3 = -3 for v.
2
Let a be 82/(-88)*-428 - (-4)/22. Let b = 405 - a. Solve 5*h - b = -1 for h.
1
Suppose 0 = -4*y - 5*j - 122, -39 = -2*y + 5*j - 115. Let s = -26 - y. Solve 0 = b - s + 4 for b.
3
Suppose 0 = -104*g + 3*g - 187 - 318. Let l(q) = -15*q - 3*q**2 + 4 - 2*q**2 + 2*q**2. Let p be l(g). Solve k = -p*k for k.
0
Suppose 8579 = -16*r + 8787. Solve -24*z + 14*z = -r*z for z.
0
Suppose 3*i - 4*j - 19 = 0, j - 17 - 7 = -5*i. Suppose -i*d - 1 = 4*p - 3*p, -d = -p + 11. Solve p = 5*b - 6 for b.
3
Let o = 340 - 315. Suppose o*l - 234 = 7*l. Solve 3*z - l = -25 for z.
-4
Let t = 809 - 804. Let j = 38 - 34. Solve t*i + j = -11 for i.
-3
Let r = -206 + 87. Let z = r + 121. Solve -6 + 0 = -z*y for y.
3
Let b(s) = -8*s + 3. Let r be b(-13). Suppose r*w = 101*w + 54. Solve 0 = 5*u - 2*u - w for u.
3
Suppose 18*w + 132 = 20*w. Suppose -9*r + w = -159. Solve r*l = 28*l for l.
0
Let t(k) = 15*k + 79. Let c be t(-5). Suppose -c*l = -l. Solve l*n + 4*n = 0 for n.
0
Let v(q) be the third derivative of -q**4/8 + 11*q**3/6 - 14*q**2. Let z(p) = -4*p + 12. Let r(x) = -3*v(x) + 2*z(x). Let g be r(9). Solve 12 = 4*b - g*b for b.
3
Let y(l) = -7*l**2 - 19*l - 34. Let c be y(-7). Let k = c + 249. Solve | {
"pile_set_name": "DM Mathematics"
} |
s of c.
2, 13
Let t(j) = j**2 - 12*j + 3. Let r be t(12). Let m be (1*r)/(21/(-280)). Let f = m - -59. What are the prime factors of f?
19
Let x be -2 + 19 - (-1 - 0). Suppose 4*r - 2*m + 0*m = 20, -5*m = -r + 14. List the prime factors of -3 + x*10/r.
2, 3, 7
Suppose j - 2*y = 22, -5*y - 31 = -0*j - j. Let c = -19 + j. What are the prime factors of 48 - (c + (3 - 0))?
2, 3
Suppose 11*l - 16*l + 6692 = 3*b, -4*b - 2682 = -2*l. What are the prime factors of l?
13, 103
Suppose -4*m - 5*u = 7, 0 = 2*m - u - u + 8. Let c be 35/10 - m/(-6). Suppose c*f = 3*t - 12, t - 16 = -3*t + 5*f. List the prime factors of t.
2
Let f(i) be the first derivative of 1/3*i**3 - 1/2*i**2 + 2 - 3*i. List the prime factors of f(6).
3
Let p(b) = -b**3 - 12*b**2 + 3*b - 54. List the prime factors of p(-13).
2, 19
Suppose -r - 2*f = -5, -2*r - r = 4*f - 21. Let s(j) = j + 25. Let h be s(-5). Let p = h + r. List the prime factors of p.
31
Let w = -5 - 7. Let p(o) = -2*o**2 - 28*o - 18. What are the prime factors of p(w)?
2, 3, 5
Let c(b) = b. Let f be c(3). Suppose 5*u = f*u - 82. Let g = u + 74. What are the prime factors of g?
3, 11
Let r(o) = 6*o**2 + 6*o - 15. Let w be r(-8). Let h = w - 160. What are the prime factors of h?
7, 23
Suppose 89*c + 4*k - 13484 = 85*c, 6 = -2*k. List the prime factors of c.
2, 7, 241
Suppose 2*r + 3*r + 115 = 0. Suppose -2*y + 10 = -0*y. Let o = y - r. What are the prime factors of o?
2, 7
Let l = -20 + 11. Suppose -3*g + 3*h = h - 78, 0 = -2*h. Let w = l + g. List the prime factors of w.
17
Let s be 0 - (-6 - -3 - -1). Let i(a) = 3*a**3 - 2*a**2 - a - 2. Let g be i(s). What are the prime factors of ((-4)/g)/((-1)/21)?
7
Suppose -3*t + 5*u = -14, 3*t + u = 2*t + 2. Suppose -t*c = -c - 294. Suppose -4*o + c = -57. List the prime factors of o.
3, 17
Let j be -10*(4 - 112/20). What are the prime factors of (-312)/j*(-3 - -1)?
3, 13
Suppose 0 = -b - 5*b + 6. List the prime factors of (b + 2/(-10))/(4/710).
2, 71
Let k(s) = -s**3 + 6*s**2 - 6*s + 8. List the prime factors of k(5).
3
Let i(x) = -540*x - 944. What are the prime factors of i(-6)?
2, 7, 41
Suppose t = 3*h + 645 - 3170, 4*h - 5*t - 3374 = 0. List the prime factors of h.
29
Suppose -3*f + 0*f - 2*h + 17 = 0, -2*f - h = -11. Suppose f*a - 2*a = 21. List the prime factors of a.
7
Suppose 0 = -5*b - c + 2*c + 11344, -2*b + c + 4537 = 0. List the prime factors of b.
2269
Let y be (14/35)/((-1)/(-5)). Suppose -y*r + 132 = r. List the prime factors of r.
2, 11
Suppose 4*p - 452 = 4*n - 0*n, -5*p = 4*n - 538. Let l = p + 57. What are the prime factors of l?
167
Let h = -21 - -34. Suppose 8*u = 259 + h. List the prime factors of u.
2, 17
Let s be (-3815)/(-15) + (-33)/(-9) + -3. Suppose 11*u = 6*u + s. List the prime factors of u.
3, 17
Suppose -4*b = -b - 12. Suppose 138 + 1214 = -b*f. List the prime factors of 1/(-6) + f/(-12).
2, 7
Let j = -38 + 26. Let b(v) = 2*v + 12. Let c(d) = d + 6. Let r(q) = -4*b(q) + 7*c(q). List the prime factors of r(j).
2, 3
List the prime factors of -2 - (5 - 65 - -6).
2, 13
Let b = 96 + -77. List the prime factors of (-5 + 44)*b/3.
13, 19
Let d = 681 + -463. What are the prime factors of d?
2, 109
Suppose -79*f + 86*f - 14 = 0. Let o = -2 + 2. Suppose i + 5*n - 2 = o, i - 42 = 3*n + f*n. List the prime factors of i.
2, 11
Let f(l) = -l + 1. Let n be f(0). Let h be n/(((-15)/174)/5). Let w = -39 - h. What are the prime factors of w?
19
Let f(g) = -33*g + 130. List the prime factors of f(-12).
2, 263
Suppose -80*t - 9432 = -88*t. List the prime factors of t.
3, 131
Let n(h) = 2*h**2 - 11*h - 5. Suppose -3*r + 0*u + u = -32, -5*r = -4*u - 65. List the prime factors of n(r).
2, 29
Let r be 884/(-24) - (-5)/6. List the prime factors of 2/(((-1)/(-183))/((-6)/r)).
61
Suppose 5*r + 26 = 2*z, -2*z = -z + 2*r - 31. Suppose -5 = j - z. List the prime factors of j.
2, 3
Let y be -3 + (2/(-4))/((-3)/(-1182)). Let x = y - -371. What are the prime factors of x?
3, 19
Let x be (-6)/((-3)/1) - -2. Suppose -2*d - 16 = 2*d, 3*d + 84 = x*k. Suppose -13*b = -15*b + k. List the prime factors of b.
3
Let b = -108 - -117. What are the prime factors of 1/(-12)*-4 - (-897)/b?
2, 5
Suppose -5*t + 3*a + 10 + 10 = 0, t - 4 = -5*a. Suppose -4*r - 125 = -j - 2*r, t*j - 5*r = 494. List the prime factors of j.
11
Let a be (0/15)/(1*-3). Suppose a = -9*b + 3*b + 12. Suppose b*g + 26 = n - 13, -4*n + g + 142 = 0. List the prime factors of n.
5, 7
Let b be ((-4 - -1)/3)/(2/(-10)). Suppose -b*j + 498 = 4*t, -j - 4*j = 10. What are the prime factors of t?
127
Suppose -9*o - 956 = -1010. Let v = 3 - -30. Let b = o + v. List the prime factors of b.
3, 13
Let j be (-11 + 3 + 0)/(-2). Let n(z) = -5*z + 1 + j*z - 4 + 2. What are the prime factors of n(-6)?
5
List the prime factors of 4*9 + (-88)/22.
2
Let m(l) = l**3 + 9*l**2 - 11*l - 8. Let o be m(-10). Suppose 3*c = 4*i - 0*i + 191, 3*i = o*c - 128. List the prime factors of c.
61
Suppose 443 = k + q, k = 4*q + 199 + 249. Suppose 0 = -i + g + 295 - 73, -2*i - 2*g + k = 0. What are the prime factors of i?
2, 3, 37
Let z(n) = -n + 2. Let a(g) = -g + 2. Let d(m) = 4*a(m) - 3*z(m). Let w be d(-1). Suppose -24 - 36 = -w*s. What are the prime factors of s?
2, 5
Let t = -14 - -15. Let k = t + -2. List the prime factors of -41*(-2 - k) - 4.
37
Suppose -5*y + 3*u = -1804, 4*y - 1451 = 3*u + 2*u. List the prime factors of y.
359
Let i = -933 + 3980. List the prime factors of i.
11, 277
Suppose -126*l + 128*l - 3088 = 0. What are the prime factors of l?
2, 193
Let s = -34 - -46. Let w be (11 - s)*(-9 - 1). What are the prime factors of 3/5 - (-554)/w?
2, 7
Suppose -4*c - 4*f = -1050 - 266, 983 = 3*c + f. List the prime factors of c.
3, 109
Suppose 5*i + 128 = 9*i. What are the prime factors of i?
2
Let p(k) = -1. Let b(d) = -2*d**3 - 2*d**2 + 3*d + 2. Let s = -22 + 17. Let w(j) = s*p(j) - b(j). What are the prime factors of w(2)?
3, 7
Let k(h) = -h**2 - h + 16. Let w be k(-4). Let i(t) = -14. Let c(p) = -p + 1. Let n(o) = -3*c(o) - i(o). What are the prime factors of n(w)?
23
Let a be -1 + (3 - (-4 - -2)). Let u = -124 + 128. Suppose 5*j - 75 = -c + 37, -a*j + 96 = u*c. List the prime factors of j.
2, 11
Let r(s) = s**2 - 4*s - 14. Let o be r(7). Let i(w) = w**3 - 6*w**2 + 4*w - 4. What are the prime factors of i(o)?
73
Suppose -3*k + 5*w + 156 + 3465 = 0, 3*k - 3*w = 3621. What are the prime factors of k?
17, 71
Let z = -707 + 2351. What are the prime factors of z?
2, 3, 137
Let m(l) = l**3 - 2*l**2 + l + 1. Let y be m(2). Suppose -3*z - 2*s + s = -13, 0 = -y*z - 2*s + 11. What are the prime factors of (1 - z*6)/(-1)?
29
What are the prime factors of -6 + 1561 + 13 + 4?
2, 3, 131
Let s(h) be the third derivative of h**5/60 + h**4/12 + 5*h**3/6 - 8*h**2. Let g = -6 - -2. What are the prime factors of s(g)?
13
Suppose 5*o - 3*s - 832 = -6*s, -5*o + 833 = 2*s. What are the prime factors of o?
167
Suppose 21*l - 22*l + 142 = 0. List the prime factors of l.
2, 71
Suppose 1328 = -24*x + 19472. What are the prime factors of x?
2, 3, 7
Let m(p) = -p. Let o(t) = -4*t - 7. Let x(y) = -2*m(y) - o(y). Let z be x(-4). Let g(r) = -2*r + 10. List the prime factors of g(z).
2, 11
Let b = -10 - -14. Suppose b*v = 2*n + 18, -4*v = -0*v - 3*n - 19. Suppose 2*o - 36 = -t, v*t - 10 - 14 = -2*o. List the prime factors of o.
2, 5
Let x(q) = -3*q - 4. Let s be x(8). List the prime factors of (-8)/s + (-178)/(-14).
13
Let x = 6 - -251. List the prime factors of x.
257
Suppose 0 = -4*l - 4*n + 14 + 6, 5*l - 2*n = 11. Suppose -2*h + h + 7 = 3*m, l*m + 2*h - 2 = 0. List the prime factors of m/(-8)*4 + 38.
2, 3
Suppose -2*y + 18 = y. Let h(r) = 2*r**3 - 3*r**3 - 5*r**2 - 7*r + 8 + 2*r**3. What are the prime factors of h(y)?
2
Let t = 57 + -55. Suppose 207 = t*j - 161. What are the prime factors of j?
2, 23
Let f = 51 - 52. List the prime factors of (1 - f)*(-9)/((-144)/536).
67
Let a(n) = 45*n**2 + 146*n - 4. What are the prime factors of a(6)?
2, 7, 89
Suppose 2*s = -21*a + 23*a - 2604, 2*a = s + 2603. What are the prime factors of a?
1301
Let g(t) = -t**3 + 15*t**2 - 11*t - 30. Let i be g(14). List the prime factors of (i/3)/(-1) + 90.
2, 43
Suppose 4*b + 4*x = 72, 4*b - 6*x = -x + 36. Let a be 4/b - 38/(-14). Suppose -4*m = -8, 2*m - 15 = -a*t - m. List the prime factors of t.
| {
"pile_set_name": "DM Mathematics"
} |
))**2).
-4700807 + 240*sqrt(13)
Simplify (-5*-5*(sqrt(363) + -1*sqrt(363) + sqrt(363) + -3)*1 + -4)*3 + -5.
-242 + 825*sqrt(3)
Simplify (((2*-3*sqrt(432) - sqrt(432)) + sqrt(432))/sqrt(12))/(-3*sqrt(108)*5).
2*sqrt(3)/15
Simplify 4 + ((sqrt(1377) + -1 + -2 + -5)*-5 - -2*((sqrt(1377) + 0)*-4)**2*-5).
-220276 - 45*sqrt(17)
Simplify (-2 + sqrt(2057)*-2*-2*-3 + -3 + 3*(-4 + 1*sqrt(2057)*-1))**2.
5610*sqrt(17) + 463114
Simplify -2 + (-1 + -2*2*(sqrt(304) + 1 - (sqrt(931)*2 - sqrt(931))))**2.
-120*sqrt(19) + 2759
Simplify (-3*((-5*2*sqrt(84) + sqrt(84))*4)/((sqrt(84) + ((sqrt(84) + -4*sqrt(84))*6 - sqrt(84)))/sqrt(7)))**2.
252
Simplify -5*((3*sqrt(3000)*-1)/((sqrt(60) - (sqrt(60) - ((sqrt(60) - sqrt(240)/sqrt(4)) + sqrt(60))*-3))/sqrt(10)) + -1 + -5).
-50*sqrt(5) + 30
Simplify ((1*sqrt(153)*-2 + sqrt(153))*-4)/((-3*(sqrt(90)*2 + sqrt(90) + sqrt(90)))/sqrt(10))*-6.
2*sqrt(17)
Simplify -2*(-2 + (sqrt(80) + sqrt(80) + -1 + sqrt(80) + (sqrt(5) - (sqrt(5) - sqrt(15)/sqrt(3)))*-1 + (sqrt(80) - (-5 + sqrt(80)*-1)))**2).
-3638 - 304*sqrt(5)
Simplify -1 + (3 + 3*sqrt(637) + (sqrt(637) - (sqrt(637) + (5 + sqrt(637))*-1)) + -3)**2.
280*sqrt(13) + 10216
Simplify 5 + 5 + 4*-6*(-4*(sqrt(27))**2 + sqrt(3))*5 + 3.
-120*sqrt(3) + 12973
Simplify ((sqrt(294) - (sqrt(294) - (sqrt(294)*1 + sqrt(294))))*-2)/(5*sqrt(4)/sqrt(2) - -1*sqrt(10)/sqrt(5)) + 5 + 0.
-14*sqrt(3)/3 + 5
Simplify ((sqrt(32) + -2*sqrt(32) + -5 - (3*sqrt(32) + 2)) + (-1*sqrt(8)*-3)/((3*sqrt(576) - sqrt(576) - sqrt(576)) + sqrt(576)))**2.
889*sqrt(2)/4 + 17697/32
Simplify (4 + ((2 + 2 + sqrt(847))*-6 - (sqrt(847) - 2*(sqrt(847) + 0 - sqrt(847)) - ((0 + sqrt(847) - sqrt(847)) + -5))) + 3)**2.
3388*sqrt(7) + 41987
Simplify (2*(5 + 4 + (sqrt(27) - sqrt(3)))*-5 - (3 + -2*sqrt(75) + -3 + -4))**2.
1720*sqrt(3) + 7696
Simplify -2 + (-1*(((sqrt(1584) - sqrt(1584)*5 - sqrt(1584))*-1 + sqrt(1584))*2 - ((3 + sqrt(1584) - sqrt(1584)) + -2 + 1)))**2.
-576*sqrt(11) + 228098
Simplify ((1*(sqrt(242) - (0 + sqrt(242))))**2 + -1 - (4 + (sqrt(242) + 1 + sqrt(242) - sqrt(242)))**2*2)*4.
-2140 - 880*sqrt(2)
Simplify (((sqrt(1200) - (sqrt(1200) - (2*sqrt(1200) - sqrt(1200))))*5*4)/(-3*sqrt(24)/sqrt(6) + sqrt(4)*-1*-6))**2.
40000/3
Simplify 0 + (-1*(-3 + sqrt(112)*1 - -1*sqrt(112)*2)*1*-6*-1)**2.
-2592*sqrt(7) + 36612
Simplify -4*(-5 + (sqrt(176) + 1 + 1 - ((0 + sqrt(176) - sqrt(176)) + -2))**2 + 5).
-768 - 128*sqrt(11)
Simplify -5 + 5 + ((sqrt(24)/(-5*sqrt(200)))**2 - (-3 + (sqrt(48) + sqrt(3))**2 + 3)) + -2.
-48122/625
Simplify ((2 + ((sqrt(242) + -1)*6 - -6*(sqrt(242) + 0)) + -3)*5 + 4)**2.
-40920*sqrt(2) + 872161
Simplify 5 + (3*2*sqrt(1701))/(sqrt(48) + (2*sqrt(192) + sqrt(192))/sqrt(4)) + 3 + 2.
27*sqrt(7)/8 + 10
Simplify (2 + 4 + 0 + sqrt(75))**2 - (sqrt(2541) - (1*sqrt(2541) - sqrt(2541)))/(sqrt(28)/(sqrt(8)/sqrt(2))).
49*sqrt(3) + 111
Simplify 3*sqrt(176) + sqrt(11) + (sqrt(1100) - (-4 + sqrt(1100)) - sqrt(1100))**2 + ((sqrt(1331)*1)**2*-1 - sqrt(1331))*4.
-4208 - 111*sqrt(11)
Simplify 1 + (-3 + sqrt(128) + -4 + -4 - 6*((sqrt(128) + 3 - sqrt(128) - sqrt(128))**2 + 4)) + -4.
-860 + 296*sqrt(2)
Simplify (-6*(1*1*sqrt(119) - sqrt(119) - sqrt(119)*2*4))/(sqrt(112) + (sqrt(7) - -2*sqrt(343))).
48*sqrt(17)/19
Simplify 1 + (-6*(-1*-2*sqrt(2057) + 2*sqrt(2057)*-6) + -5)**2 + 1 + -3.
-6600*sqrt(17) + 7405224
Simplify (sqrt(720) - ((sqrt(720) - -3*sqrt(720)) + sqrt(720)) - sqrt(720))/sqrt(10) + -3 - (3 + 3 + -3 + -4 + sqrt(2)).
-31*sqrt(2) - 2
Simplify -4*(2 + (2 + -6*((4*(sqrt(3) + -1*sqrt(3)) - sqrt(3)) + (sqrt(18)/sqrt(3))/sqrt(2))*6)*-1)**2.
0
Simplify -4*(-2*sqrt(1584) - sqrt(1584))**2*-3 - 2*1*sqrt(99)/(1*sqrt(9)).
-2*sqrt(11) + 171072
Simplify (-3*(sqrt(225)*-2 - sqrt(225)))/(sqrt(1500)/sqrt(12) + sqrt(5) - sqrt(20)/sqrt(4)*-3) + -1.
-1 + 3*sqrt(5)
Simplify -1*((sqrt(10)/sqrt(125) - sqrt(8)/sqrt(16)) + (sqrt(180)*-5)/sqrt(10))**2 + 4.
-23209/50
Simplify -4*((sqrt(300)/sqrt(20))/sqrt(10))/((sqrt(324)*-6)/sqrt(12)) + 0.
sqrt(2)/9
Simplify (1 + 3*(3 + -3*sqrt(1377)*-1)*3 + -2 + 5 + -2)**2.
14094*sqrt(17) + 1004674
Simplify -5 + (sqrt(364)/(sqrt(7) + sqrt(28)/sqrt(4)) - sqrt(52))*-4 + (sqrt(65) + (sqrt(65) - -4*sqrt(65)*2) - sqrt(65))/(sqrt(20)/sqrt(196)).
-5 + 67*sqrt(13)
Simplify (-3*((sqrt(156) - -2*sqrt(156)*-2) + (sqrt(156)*-1 + sqrt(156))*5))/(-2*((sqrt(1728)*-3*-5 + sqrt(1728) - sqrt(1728)) + sqrt(1728) + sqrt(1728))).
-3*sqrt(13)/136
Simplify ((3*(-1*sqrt(81) - sqrt(81)))/(sqrt(12)/sqrt(16)))/((sqrt(225) + sqrt(225) + -1*sqrt(225) + sqrt(225))*-5 - (1*-1*sqrt(225) - sqrt(225))).
3*sqrt(3)/10
Simplify -2*(sqrt(147)*-1 - sqrt(3) - (sqrt(3) + sqrt(6)/sqrt(72) + sqrt(3)))**2 - (6*3*sqrt(9) + sqrt(9))/(sqrt(3) + (sqrt(15)/sqrt(245) - sqrt(3)) - sqrt(3)).
-3721/6 + 133*sqrt(3)/6
Simplify (-3*(-6*(2 + 1 + sqrt(343)) - (sqrt(343) - (sqrt(343) - sqrt(343)*3)*2)*4))**2*-4.
-8358912 - 235872*sqrt(7)
Simplify (2 + (sqrt(176) - (sqrt(176)*-5 - sqrt(176)))**2 - ((1 + sqrt(1584))**2 - (-3 + sqrt(44)/sqrt(4) - sqrt(11)))) + 0.
-24*sqrt(11) + 7038
Simplify (sqrt(1815) + (sqrt(1815) - (sqrt(1815) - (-3*sqrt(1815) + sqrt(1815)))) - (sqrt(90) + 3*sqrt(90))/sqrt(6))/((sqrt(55)*1)/sqrt(11)*-6*6).
5*sqrt(3)/12
Simplify ((-2*sqrt(35)*2)/(-4*sqrt(10)/sqrt(2)) - (-4*sqrt(441)/sqrt(7) + 1))**2.
-26*sqrt(7) + 1184
Simplify (sqrt(833)*-1 - (sqrt(612) - (sqrt(612) + -1))**2) + -1 - ((sqrt(51)/(sqrt(15)/sqrt(5)) - sqrt(17))*-2 + 0).
-7*sqrt(17) - 2
Simplify (0 + ((sqrt(405) + 0)*4*2 - (-6*(sqrt(405) + 0) + 4 + sqrt(405)*1)))**2*-6.
-410766 + 5616*sqrt(5)
Simplify (((2*sqrt(264)*-4)/(sqrt(704) + (sqrt(704) - sqrt(704)*-2)))/(sqrt(1452) - sqrt(1452)*3 - sqrt(96)/(sqrt(24)/sqrt(3))))**2.
1/4232
Simplify (6*1*(1*sqrt(136) - sqrt(136)))/(3*sqrt(128)*4).
0
Simplify (1*(-4 + (6*((sqrt(405) + 1)**2 + 1) - ((sqrt(405) - (1*sqrt(405) + sqrt(405)))*4 + -4)**2)) + 1)*-6.
1080*sqrt(5) + 24342
Simplify ((5*(-2*sqrt(648) + sqrt(18)))/((sqrt(225) - sqrt(9))*5*4))**2*1 + 1.
249/128
Simplify -3 + sqrt(1088) + (4 + sqrt(1088))**2 + 5*(sqrt(17) + sqrt(85)/sqrt(45) + -2*(sqrt(17) + -2)) + -2.
206*sqrt(17)/3 + 1119
Simplify -2 + -5 + (sqrt(76)/sqrt(4))**2 + (sqrt(95)*2)/sqrt(5) + 2 + (sqrt(133)/(-2*sqrt(7)) + 4 - (sqrt(76) + sqrt(76)*-1*1)/sqrt(4))**2.
-2*sqrt(19) + 139/4
Simplify -2 + (sqrt(18) - (2*sqrt(18))**2)*5 + (-4 + sqrt(2) + 1 - 4*sqrt(4)/sqrt(2))**2 + -5.
-340 + 33*sqrt(2)
Simplify 3*(3*sqrt(42)*6*-2)/(-2*(sqrt(48)/sqrt(4) + sqrt(12))/sqrt(2)).
27*sqrt(7)
Simplify 5*(sqrt(440)/(sqrt(50)/sqrt(5)*-5))/(3*sqrt(484)*4).
-sqrt(11)/132
Simplify (-4*-3*sqrt(209)*-2)/(sqrt(77)/(sqrt(70)/sqrt(10)*1)).
-24*sqrt(19)
Simplify (((sqrt(567)*-1 - sqrt(567))*6*-4)/(sqrt(441) - (-5*(sqrt(441) + -2*sqrt(441)) + sqrt(441))))**2*-6.
-124416/175
Simplify ((sqrt(308)*1*6)/(sqrt(11) - (sqrt(1100)*-2 - sqrt(1100))))/(-6*(sqrt(36) + (-2*sqrt(36) - sqrt(36))) - (sqrt(1296) - (sqrt(1296) + sqrt(1296)*2))).
sqrt(7)/372
Simplify 5*(1*-1*(sqrt(68) + (sqrt(68) + sqrt(68)*2*-1 - sqrt(68))))/(-2*sqrt(64) - sqrt(800)/sqrt(8)).
-5*sqrt(17)/13
Simplify (-5 + 1*(4 + (sqrt(243) - (0 + sqrt(243) + -4)))*3)**2.
361
Simplify (-1 + -4*(0 + sqrt(1900)*1 + 3 + sqrt(1900) + -3*(sqrt(1900) + -1)*-5))**2.
-63920*sqrt(19) + 8787809
Simplify (((sqrt(275) + -3)*6)**2 - sqrt(110)/((sqrt(110)*3)/sqrt(11)))*-3*-1.
-3241*sqrt(11) + 30672
Simplify ((sqrt(1100) + 0)*-3 + 5 - (sqrt(1100) + 0 + 5 - 1*(0 + sqrt(1100) - sqrt(1100))) - (-4 + -1 + sqrt(1100) - (1 + sqrt(1100) + 0))*-3*5)**2.
7200*sqrt(11) + 25700
Simplify (3*3*4*(((-2*sqrt(330))/sqrt(10) + sqrt(33))/sqrt(11) + -2 + 2*sqrt(147)))**2.
-67392*sqrt(3) + 662256
Simplify (0 + (-2*sqrt(176)*-1 - ((2 + sqrt(176) - sqrt(176)) + -5) - ((sqrt(176) - (sqrt(176) + 1 + sqrt(176)))*2 + (sqrt(176) + sqrt(176)*2)*-2)))**2.
400*sqrt(11) + 17625
Simplify (1 + -5 + 5 + -6*(0 + sqrt(684)))**2*4.
-288*sqrt(19) + 98500
Simplify (sqrt(1134)*2 - (1*sqrt(504) - sqrt(504) - sqrt(504)))/(sqrt(18)/(-4*sqrt(729) - sqrt(729))).
-1080*sqrt(7)
Simplify -3*(1 + (-2 + (sqrt(76) + sqrt(76) + sqrt(76) + 0 + sqrt(76))**2 + (2*sqrt(76) + 5)**2)*-6*3)*6.
12960*sqrt(19) + 499914
Simplify (3*-5*-5*2*sqrt(78))/((sqrt(450)*-2)/(2*sqrt(147))).
-210*sqrt(13)
Simplify (-6*((sqrt(171)*1 - sqrt(171)) + 0))**2*1 - ((-2*(-1 + sqrt(171)) + (1*sqrt(171) - sqrt(171))*-3 + sqrt(171))**2 + 1).
-176 + 1 | {
"pile_set_name": "DM Mathematics"
} |
before 4:16 PM?
8:28 AM
What is 514 minutes before 3:14 PM?
6:40 AM
How many minutes are there between 10:38 AM and 4:10 PM?
332
How many minutes are there between 12:47 AM and 3:52 AM?
185
How many minutes are there between 2:18 PM and 4:50 PM?
152
How many minutes are there between 4:53 PM and 11:51 PM?
418
How many minutes are there between 11:48 AM and 6:48 PM?
420
How many minutes are there between 6:21 AM and 3:27 PM?
546
What is 697 minutes before 3:32 AM?
3:55 PM
How many minutes are there between 4:31 AM and 7:04 AM?
153
What is 48 minutes before 2:00 AM?
1:12 AM
How many minutes are there between 10:18 PM and 6:45 AM?
507
What is 625 minutes after 8:28 PM?
6:53 AM
What is 12 minutes before 7:08 AM?
6:56 AM
What is 115 minutes before 1:49 AM?
11:54 PM
What is 568 minutes after 10:28 PM?
7:56 AM
What is 144 minutes after 4:36 AM?
7:00 AM
What is 194 minutes after 2:55 PM?
6:09 PM
What is 584 minutes after 4:33 AM?
2:17 PM
How many minutes are there between 8:46 AM and 9:25 AM?
39
How many minutes are there between 11:40 PM and 10:24 AM?
644
What is 423 minutes before 2:23 PM?
7:20 AM
What is 252 minutes before 6:12 PM?
2:00 PM
How many minutes are there between 5:47 PM and 4:14 AM?
627
How many minutes are there between 8:22 AM and 3:26 PM?
424
What is 310 minutes after 6:47 PM?
11:57 PM
What is 714 minutes after 5:22 PM?
5:16 AM
What is 463 minutes after 2:33 AM?
10:16 AM
How many minutes are there between 2:17 AM and 7:08 AM?
291
How many minutes are there between 9:09 PM and 6:57 AM?
588
What is 485 minutes before 9:52 AM?
1:47 AM
What is 584 minutes after 9:35 AM?
7:19 PM
How many minutes are there between 1:44 PM and 4:50 PM?
186
What is 568 minutes before 11:17 AM?
1:49 AM
What is 305 minutes before 5:11 AM?
12:06 AM
What is 372 minutes after 4:33 AM?
10:45 AM
How many minutes are there between 11:33 PM and 3:36 AM?
243
What is 429 minutes before 1:20 PM?
6:11 AM
What is 549 minutes before 11:15 PM?
2:06 PM
What is 420 minutes after 3:46 AM?
10:46 AM
How many minutes are there between 1:22 PM and 6:43 PM?
321
What is 420 minutes before 6:58 AM?
11:58 PM
What is 283 minutes after 9:56 PM?
2:39 AM
What is 51 minutes before 10:10 AM?
9:19 AM
What is 560 minutes after 6:21 PM?
3:41 AM
How many minutes are there between 7:08 PM and 4:40 AM?
572
How many minutes are there between 4:14 AM and 10:56 AM?
402
What is 12 minutes after 6:14 AM?
6:26 AM
What is 690 minutes after 3:44 PM?
3:14 AM
How many minutes are there between 8:01 PM and 8:54 PM?
53
How many minutes are there between 6:45 PM and 4:54 AM?
609
What is 101 minutes after 11:11 PM?
12:52 AM
What is 558 minutes after 6:41 PM?
3:59 AM
How many minutes are there between 6:34 AM and 8:12 AM?
98
How many minutes are there between 9:12 PM and 2:07 AM?
295
How many minutes are there between 8:00 AM and 8:44 AM?
44
What is 628 minutes before 10:28 PM?
12:00 PM
How many minutes are there between 7:32 AM and 9:54 AM?
142
How many minutes are there between 9:02 AM and 6:38 PM?
576
How many minutes are there between 9:36 PM and 1:46 AM?
250
What is 240 minutes after 5:16 AM?
9:16 AM
How many minutes are there between 6:08 PM and 8:30 PM?
142
What is 279 minutes after 6:30 PM?
11:09 PM
How many minutes are there between 12:20 PM and 3:16 PM?
176
What is 406 minutes before 11:33 PM?
4:47 PM
How many minutes are there between 10:47 AM and 8:36 PM?
589
How many minutes are there between 1:53 PM and 8:43 PM?
410
How many minutes are there between 6:43 AM and 8:00 AM?
77
What is 104 minutes after 1:01 PM?
2:45 PM
How many minutes are there between 9:09 AM and 5:30 PM?
501
What is 719 minutes before 7:29 AM?
7:30 PM
What is 52 minutes before 10:47 PM?
9:55 PM
What is 298 minutes before 11:56 PM?
6:58 PM
What is 327 minutes before 9:04 AM?
3:37 AM
How many minutes are there between 3:48 AM and 4:15 AM?
27
What is 121 minutes after 1:15 AM?
3:16 AM
What is 54 minutes before 12:22 AM?
11:28 PM
How many minutes are there between 10:03 AM and 6:14 PM?
491
How many minutes are there between 1:42 PM and 6:51 PM?
309
How many minutes are there between 8:42 AM and 10:33 AM?
111
How many minutes are there between 11:14 AM and 10:57 PM?
703
How many minutes are there between 10:46 AM and 1:47 PM?
181
What is 474 minutes before 12:05 PM?
4:11 AM
What is 385 minutes before 12:22 PM?
5:57 AM
How many minutes are there between 9:05 PM and 5:13 AM?
488
What is 251 minutes after 5:54 PM?
10:05 PM
How many minutes are there between 2:09 PM and 6:21 PM?
252
How many minutes are there between 7:12 AM and 8:50 AM?
98
How many minutes are there between 8:20 AM and 3:23 PM?
423
What is 243 minutes after 11:39 PM?
3:42 AM
How many minutes are there between 7:34 PM and 2:46 AM?
432
What is 310 minutes before 4:54 AM?
11:44 PM
What is 14 minutes before 9:18 AM?
9:04 AM
What is 270 minutes before 7:59 AM?
3:29 AM
What is 463 minutes before 2:19 AM?
6:36 PM
How many minutes are there between 5:23 PM and 5:22 AM?
719
How many minutes are there between 4:57 PM and 8:28 PM?
211
What is 90 minutes before 6:08 PM?
4:38 PM
How many minutes are there between 10:31 PM and 10:19 AM?
708
How many minutes are there between 6:32 AM and 5:00 PM?
628
How many minutes are there between 7:04 AM and 6:06 PM?
662
What is 681 minutes before 3:45 AM?
4:24 PM
How many minutes are there between 12:19 AM and 12:52 AM?
33
How many minutes are there between 9:56 PM and 7:16 AM?
560
How many minutes are there between 9:07 AM and 9:09 AM?
2
How many minutes are there between 3:20 PM and 9:54 PM?
394
How many minutes are there between 9:21 PM and 8:51 AM?
690
What is 142 minutes after 8:49 AM?
11:11 AM
How many minutes are there between 7:17 PM and 5:01 AM?
584
How many minutes are there between 2:14 AM and 11:33 AM?
559
How many minutes are there between 12:04 AM and 6:32 AM?
388
How many minutes are there between 1:57 AM and 2:07 AM?
10
How many minutes are there between 7:15 PM and 10:26 PM?
191
How many minutes are there between 6:22 AM and 8:05 AM?
103
How many minutes are there between 11:17 AM and 8:26 PM?
549
How many minutes are there between 10:05 PM and 12:02 AM?
117
What is 101 minutes before 10:58 PM?
9:17 PM
What is 467 minutes after 8:49 AM?
4:36 PM
What is 366 minutes after 7:36 AM?
1:42 PM
What is 628 minutes before 7:36 AM?
9:08 PM
What is 643 minutes after 11:24 AM?
10:07 PM
What is 132 minutes before 9:12 AM?
7:00 AM
How many minutes are there between 1:10 AM and 10:55 AM?
585
How many minutes are there between 11:08 PM and 6:16 AM?
428
How many minutes are there between 12:25 AM and 4:16 AM?
231
How many minutes are there between 8:16 PM and 7:38 AM?
682
How many minutes are there between 1:03 AM and 1:12 AM?
9
What is 250 minutes before 10:44 PM?
6:34 PM
How many minutes are there between 2:28 PM and 4:56 PM?
148
What is 366 minutes before 9:55 PM?
3:49 PM
What is 195 minutes after 9:01 PM?
12:16 AM
What is 444 minutes after 3:32 AM?
10:56 AM
What is 491 minutes before 9:19 AM?
1:08 AM
What is 553 minutes before 1:11 PM?
3:58 AM
What is 152 minutes after 3:13 AM?
5:45 AM
What is 283 minutes before 2:30 AM?
9:47 PM
How many minutes are there between 9:43 PM and 3:54 AM?
371
What is 195 minutes after 4:59 AM?
8:14 AM
How many minutes are there between 1:28 PM and 12:37 AM?
669
What is 244 minutes before 2:46 PM?
10:42 AM
What is 197 minutes after 11:42 PM?
2:59 AM
How many minutes are there between 10:30 PM and 9:47 AM?
677
What is 121 minutes before 1:04 AM?
11:03 PM
What is 636 minutes after 6:02 AM?
4:38 PM
How many minutes are there between 2:39 AM and 12:23 PM?
584
What is 588 minutes after 3:46 PM?
1:34 AM
How many minutes are there between 10:49 AM and 7:33 PM?
524
How many minutes are there between 7:31 PM and 9:53 PM?
142
How many minutes are there between 7:01 PM and 4:17 AM?
556
How many minutes are there between 2:04 AM and 6:59 AM?
295
How many minutes are there between 12:00 PM and 2:25 PM?
145
What is 719 minutes after 1:07 PM?
1:06 AM
How many minutes are there between 11:30 PM and 10:09 AM?
639
What is 453 minutes before 11:07 PM?
3:34 PM
How many minutes are there between 10:40 PM and 1:04 AM?
144
How many minutes are there between 6:16 PM and 10:07 PM?
231
What is 391 minutes after 10:28 AM?
4:59 PM
What is | {
"pile_set_name": "DM Mathematics"
} |
decimal places.
1.1
Round -0.00077565 to 5 dps.
-0.00078
What is 0.000006082 rounded to six dps?
0.000006
Round 8076 to the nearest 1000.
8000
Round 0.014461 to 4 decimal places.
0.0145
Round -116100 to the nearest 1000.
-116000
What is 840400 rounded to the nearest 100000?
800000
What is 289760000 rounded to the nearest one million?
290000000
Round -5846 to the nearest 100.
-5800
What is 95.6 rounded to 0 dps?
96
Round -0.03277 to 2 dps.
-0.03
Round 0.0000061 to 6 decimal places.
0.000006
Round 11.74 to the nearest integer.
12
Round 0.2524 to 2 decimal places.
0.25
What is 0.6131 rounded to two dps?
0.61
What is -330120 rounded to the nearest 1000?
-330000
What is -1230.2 rounded to the nearest ten?
-1230
What is -167830 rounded to the nearest one thousand?
-168000
Round 1505630 to the nearest 10000.
1510000
What is -0.00006485 rounded to five dps?
-0.00006
Round -1162000 to the nearest 10000.
-1160000
Round -0.078665 to three dps.
-0.079
Round 116400 to the nearest 100000.
100000
Round -1.129 to 1 decimal place.
-1.1
What is 134.38 rounded to the nearest ten?
130
Round 15.5312 to 2 decimal places.
15.53
What is -4.963 rounded to one decimal place?
-5
What is 0.04061 rounded to 2 dps?
0.04
Round 0.000006321 to seven dps.
0.0000063
What is 2.64 rounded to the nearest integer?
3
Round 0.07411 to two decimal places.
0.07
What is -5.4352 rounded to 1 dp?
-5.4
What is -0.0000040306 rounded to six decimal places?
-0.000004
Round 9766 to the nearest one hundred.
9800
Round -0.000003879 to six dps.
-0.000004
Round 15650 to the nearest ten thousand.
20000
What is 0.0014332 rounded to 4 dps?
0.0014
Round 4182.4 to the nearest one hundred.
4200
What is -0.69314 rounded to one dp?
-0.7
Round 588470 to the nearest one hundred thousand.
600000
What is 148.1 rounded to the nearest 10?
150
What is -0.006032 rounded to 4 dps?
-0.006
What is 35.82 rounded to 0 decimal places?
36
Round 0.0046448 to 4 dps.
0.0046
Round -0.000007112 to six decimal places.
-0.000007
Round -0.38126 to three decimal places.
-0.381
Round -0.000004261 to 6 dps.
-0.000004
What is 37400 rounded to the nearest 1000?
37000
Round -0.00002499 to 6 decimal places.
-0.000025
What is -4085980 rounded to the nearest 100000?
-4100000
Round -15040 to the nearest ten thousand.
-20000
Round -142585 to the nearest one thousand.
-143000
Round -4.7801 to 2 decimal places.
-4.78
What is -0.0000020737 rounded to seven dps?
-0.0000021
Round -21320 to the nearest one thousand.
-21000
Round -65200 to the nearest one thousand.
-65000
Round -136.79 to the nearest 10.
-140
Round -0.000017334 to 7 dps.
-0.0000173
Round -40.919 to zero dps.
-41
What is -213690000 rounded to the nearest 1000000?
-214000000
Round 0.00000115657 to seven dps.
0.0000012
What is 0.0000006206 rounded to 7 dps?
0.0000006
What is 759 rounded to the nearest 10?
760
What is 2874 rounded to the nearest 1000?
3000
What is -0.000046018 rounded to five decimal places?
-0.00005
What is 25341000 rounded to the nearest one hundred thousand?
25300000
Round 245000 to the nearest one thousand.
245000
Round 0.00003252 to 5 decimal places.
0.00003
What is -0.00742 rounded to 3 dps?
-0.007
What is 96520 rounded to the nearest 10000?
100000
Round -18760000 to the nearest 100000.
-18800000
Round -0.003161 to five dps.
-0.00316
What is -3.4 rounded to the nearest 10?
0
What is -15.71 rounded to the nearest integer?
-16
What is -0.001273 rounded to 4 dps?
-0.0013
What is 40300 rounded to the nearest 1000?
40000
What is -0.0000000986 rounded to seven decimal places?
-0.0000001
What is 0.08788 rounded to three dps?
0.088
What is -0.0003901 rounded to 4 decimal places?
-0.0004
Round 12.72 to the nearest integer.
13
What is -1849 rounded to the nearest 100?
-1800
Round 2905 to the nearest 100.
2900
Round 33890 to the nearest 1000.
34000
What is -97731 rounded to the nearest ten thousand?
-100000
What is -0.0000067779 rounded to six dps?
-0.000007
What is 12.1721 rounded to the nearest integer?
12
Round 6700 to the nearest 100.
6700
What is 60410 rounded to the nearest one thousand?
60000
Round -0.000005999 to six dps.
-0.000006
Round -6947 to the nearest one thousand.
-7000
What is -0.00001772 rounded to seven decimal places?
-0.0000177
Round -0.000276 to 5 dps.
-0.00028
Round -583.7 to the nearest 100.
-600
Round -79000000 to the nearest 1000000.
-79000000
Round -3.596 to zero decimal places.
-4
What is -14054 rounded to the nearest one thousand?
-14000
What is -0.000005195 rounded to 7 decimal places?
-0.0000052
What is -336010 rounded to the nearest ten thousand?
-340000
Round -7399400 to the nearest 10000.
-7400000
Round 0.016317 to 3 decimal places.
0.016
What is -50386 rounded to the nearest 1000?
-50000
Round 0.0000005086 to seven dps.
0.0000005
Round -478.5 to the nearest 10.
-480
What is -0.047747 rounded to 2 decimal places?
-0.05
Round -0.00011399 to 5 decimal places.
-0.00011
Round -0.00006429 to five dps.
-0.00006
Round -0.00301 to four decimal places.
-0.003
Round -0.28436 to three decimal places.
-0.284
Round 7.962 to 1 decimal place.
8
What is -0.0000007641 rounded to 7 decimal places?
-0.0000008
Round 5.955 to the nearest ten.
10
Round -727.3 to the nearest 10.
-730
What is -0.015645 rounded to 4 dps?
-0.0156
Round 0.000128 to 5 dps.
0.00013
What is 67570 rounded to the nearest ten thousand?
70000
What is -0.00014544 rounded to 4 decimal places?
-0.0001
What is -0.0000002591 rounded to 6 decimal places?
0
Round -0.0027292 to four dps.
-0.0027
Round -132400 to the nearest ten thousand.
-130000
What is 746070000 rounded to the nearest one million?
746000000
Round 0.5526 to two decimal places.
0.55
Round -0.00001094 to six decimal places.
-0.000011
Round -0.0063263 to three dps.
-0.006
What is 0.03257 rounded to three dps?
0.033
What is -3.929 rounded to 0 decimal places?
-4
What is 1264000 rounded to the nearest one hundred thousand?
1300000
What is 0.00659 rounded to three dps?
0.007
What is 37.1296 rounded to one decimal place?
37.1
What is -0.73747 rounded to three decimal places?
-0.737
What is -2836 rounded to the nearest one thousand?
-3000
Round -61677 to the nearest 10000.
-60000
Round -0.0000000549 to 7 dps.
-0.0000001
Round -590.51 to the nearest 100.
-600
Round -34.9 to the nearest integer.
-35
What is -0.04952 rounded to three dps?
-0.05
What is -0.000002353 rounded to seven dps?
-0.0000024
Round -0.000002756 to 7 dps.
-0.0000028
Round -0.08213 to three dps.
-0.082
Round 0.14232 to two decimal places.
0.14
What is -192550000 rounded to the nearest one million?
-193000000
Round -30.03 to one dp.
-30
Round 38.86 to the nearest integer.
39
What is -118500 rounded to the nearest ten thousand?
-120000
Round -7951800 to the nearest 1000000.
-8000000
Round 851 to the nearest 100.
900
What is 2774350 rounded to the nearest one hundred thousand?
2800000
Round -884040 to the nearest ten thousand.
-880000
What is 987.1 rounded to the nearest 100?
1000
What is -0.0000052555 rounded to six decimal places?
-0.000005
Round -0.0000003648 to seven decimal places.
-0.0000004
Round 173515000 to the nearest 1000000.
174000000
What is 0.508 rounded to two decimal places?
0.51
Round -67.4 to the nearest 10.
-70
What is 0.000002405 rounded to six dps?
0.000002
Round 1235.16 to the nearest one hundred.
1200
Round -108630 to the nearest 100000.
-100000
Round 0.000080808 to five dps.
0.00008
Round -1250000 to the nearest 1000000.
-1000000
What is 87170 rounded to the nearest 10000?
90000
What is 0.000045296 rounded to five decimal places?
0.00005
Round 12.0164 to two decimal places.
12.02
What is 0.00000909 rounded to seven decimal places?
0.0000091
What is 250.26 rounded to the nearest integer?
250
Round -15812000 to the nearest 1000000.
-16000000
What is 584 rounded to the nearest one hundred?
600
Round -12928800 to the nearest 1000000.
-13000000
Round -29524 to the nearest ten thousand.
-30000
What is -9470 rounded to the nearest 10000?
-10000
Round -0.0000067 to 6 decimal places.
-0.000007
What is -11250000 rounded to the nearest one million?
-11000000
What is 15247.3 rounded to the nearest 1000?
15000
Round 276.7 to the nearest 10.
280
Round 92230000 to the nearest 1000000.
92000000
Round 1547.4 to the nearest one hundred.
1500
What is 0.006707 ro | {
"pile_set_name": "DM Mathematics"
} |
4*y - 75*y + 152*y.
3*y
Collect the terms in 356*f**3 - 84*f**3 + 38*f**3 + 431*f**3.
741*f**3
Collect the terms in s**2 + 5 + 9 - 12 - 2.
s**2
Collect the terms in -26 - 14 - 6*m + 40.
-6*m
Collect the terms in 7*b**2 - 12*b**2 + b + 10*b**2.
5*b**2 + b
Collect the terms in 37*d + 65*d - 105*d.
-3*d
Collect the terms in -17*r + 13*r + 6*r.
2*r
Collect the terms in -11*w + 16 - 16.
-11*w
Collect the terms in -9 + 4 + 5 + 5*a.
5*a
Collect the terms in -14908*z + 14908*z + 3*z**2.
3*z**2
Collect the terms in -12*x**2 - 9*x**2 + 19*x**2.
-2*x**2
Collect the terms in 4*p**3 - 3*p**3 - 6*p**3.
-5*p**3
Collect the terms in 29 + 12 - 3*w + 2*w.
-w + 41
Collect the terms in 11*b**2 - 37*b**2 + 16*b**2.
-10*b**2
Collect the terms in -7*s + 3*s - 4*s + 2*s.
-6*s
Collect the terms in -168*i**3 + 165*i**3 + 2*i - 2*i.
-3*i**3
Collect the terms in -67*x - 5 + 74*x + 10.
7*x + 5
Collect the terms in 2*b + 0*b + 8*b**2 + 0*b - b.
8*b**2 + b
Collect the terms in 5*u - 3*u**2 + 3*u + 9*u - 17*u.
-3*u**2
Collect the terms in 2307*n - 2307*n + n**3.
n**3
Collect the terms in -2*p**2 + 5 - 5 - 2*p**2.
-4*p**2
Collect the terms in 48*v**2 - 319*v + 319*v.
48*v**2
Collect the terms in 73 - 73 + 31*c.
31*c
Collect the terms in 8*c**3 - 627748 + 627748.
8*c**3
Collect the terms in 9 - 9 - 11*s.
-11*s
Collect the terms in -2*c + 71*c**2 - 77*c**2 + 2*c.
-6*c**2
Collect the terms in -v**2 - 14*v + 14*v.
-v**2
Collect the terms in -10*v**3 + 8*v**3 + 22*v**3.
20*v**3
Collect the terms in -13 - b + 13.
-b
Collect the terms in 1 + 3*t - 5 + 4.
3*t
Collect the terms in 2*n**2 + 6*n + 2*n + 2*n.
2*n**2 + 10*n
Collect the terms in 8*s**3 - 8*s**3 - 3*s**3.
-3*s**3
Collect the terms in 19*t**2 - 11 + 11.
19*t**2
Collect the terms in 24*n - 44*n + 21*n.
n
Collect the terms in -2*y**2 - 4*y**2 - 4*y**2 + 5*y**2.
-5*y**2
Collect the terms in -19 + 7*m - 13 + 28.
7*m - 4
Collect the terms in 41*d**3 - 50*d**3 + 36*d**3.
27*d**3
Collect the terms in l - 285*l**3 - 74*l**3 - l.
-359*l**3
Collect the terms in -8*c**2 + 4*c**2 - 2*c**2 + 11*c**2.
5*c**2
Collect the terms in 12*y**2 - 1085 - 10*y**2 + 1085.
2*y**2
Collect the terms in 161*h**3 + 4*h**2 - 4*h**2.
161*h**3
Collect the terms in -2*x**3 + 424230 - 424230.
-2*x**3
Collect the terms in -300*w + 3*w**2 + w**2 + 300*w - 3*w**2.
w**2
Collect the terms in -9*g**2 + 26*g**2 - 4*g**2.
13*g**2
Collect the terms in 10*c**3 - 8*c**3 - 5*c**3 - 3*c**3.
-6*c**3
Collect the terms in -2*l - 3976 + 4*l + 3976.
2*l
Collect the terms in 19*k + 12*k - 42*k + 16*k.
5*k
Collect the terms in 112*f - 29*f - 15*f - 30*f - 19*f.
19*f
Collect the terms in 1593*v + 1601*v - 4796*v + 1600*v.
-2*v
Collect the terms in 42*x**2 - 91*x**2 + 54*x**2.
5*x**2
Collect the terms in 72*w + 73*w - 141*w.
4*w
Collect the terms in 3336 - 6669 + 3333 - 4*v + 3*v.
-v
Collect the terms in 4*u - 5*u - 7*u - 11*u.
-19*u
Collect the terms in 7*v + 2*v - 4*v + 0*v.
5*v
Collect the terms in -48*o**3 + 0*o**3 + 3*o**2 - 11*o**3.
-59*o**3 + 3*o**2
Collect the terms in -51*q**3 - 137*q**3 - 100*q**3.
-288*q**3
Collect the terms in -27*x**2 - 25*x**2 - 19*x**2 + 11*x**2.
-60*x**2
Collect the terms in 1 + 30*r - 1.
30*r
Collect the terms in -3*y**3 + 21*y**3 - 6 + 6.
18*y**3
Collect the terms in -119*t - 124*t + 238*t.
-5*t
Collect the terms in -2*m**2 + 8*m**2 + 0*m**2 - 7*m**2.
-m**2
Collect the terms in -5642*m**2 + 11284*m**2 - 5640*m**2.
2*m**2
Collect the terms in -p**2 - 3*p**2 + p**2 + 4*p**2.
p**2
Collect the terms in 48 - 5*b - 48.
-5*b
Collect the terms in 40*n**3 + 3*n**3 + 32*n**3 + 18*n**3 - 43*n**3.
50*n**3
Collect the terms in -71 + 2*z + 35 + 36 - 3*z.
-z
Collect the terms in q**2 + 2*q**2 - 4*q**2 + 4*q**2 - 86*q.
3*q**2 - 86*q
Collect the terms in 16*p**2 - 17*p - 10*p + 27*p.
16*p**2
Collect the terms in -20*h**2 - 19*h**2 - 29*h**2 + 54*h**2.
-14*h**2
Collect the terms in 35*y - 12*y - 13*y - 10*y + 8*y**2.
8*y**2
Collect the terms in 7*k + 11 - 12*k - 11.
-5*k
Collect the terms in -4*w - 4*w + 6*w.
-2*w
Collect the terms in 14*z - 14*z + 226*z**2 - 209*z**2.
17*z**2
Collect the terms in -9 + 2 - 8*p + 8.
-8*p + 1
Collect the terms in 122305 - 3*w**2 - 122305.
-3*w**2
Collect the terms in -1 + 72*p + 1.
72*p
Collect the terms in 5*q**2 + 0*q**2 + 4*q**2.
9*q**2
Collect the terms in 52*g**3 - 87*g**3 + 50*g**3.
15*g**3
Collect the terms in -808*k**2 + 803*k**2 - k**3 + 0*k**3.
-k**3 - 5*k**2
Collect the terms in z**3 + z**3 + 12*z**3 - 2*z**3.
12*z**3
Collect the terms in 2*q**2 + 8*q**2 + 2*q**2 + 12*q**2.
24*q**2
Collect the terms in -n**2 - 6 - 3 - 2*n**2.
-3*n**2 - 9
Collect the terms in -21247*p**3 + 10619*p**3 + 10627*p**3.
-p**3
Collect the terms in 11*t**2 + 0*t**2 + 6*t**2.
17*t**2
Collect the terms in -3*v + 12344 - 12344.
-3*v
Collect the terms in p - 3*p + 9 + 6 + 10.
-2*p + 25
Collect the terms in 19*g + 2*g - 17*g.
4*g
Collect the terms in 9*q**2 + 1206 - 1206.
9*q**2
Collect the terms in -c**2 + c**2 - c + 17*c**2.
17*c**2 - c
Collect the terms in 6 - 1 - 5 - 1904*w.
-1904*w
Collect the terms in 23*r**2 - 52*r**2 + 27*r**2.
-2*r**2
Collect the terms in -2*k - 2*k - 21 - 22 + 43.
-4*k
Collect the terms in -2*g**3 - 4*g**3 - 10*g**3 + 6*g**3.
-10*g**3
Collect the terms in 88*r**2 + 7 - 7.
88*r**2
Collect the terms in 74*g**2 + 78*g**2 - 155*g**2.
-3*g**2
Collect the terms in -3*b**3 - 2413 - 3*b**2 + 2413.
-3*b**3 - 3*b**2
Collect the terms in -358*o - 354*o - 358*o + 1062*o.
-8*o
Collect the terms in -16*q + 3*q + 9*q.
-4*q
Collect the terms in l - 2*l - l - 5*l.
-7*l
Collect the terms in 5*a**3 - 33*a**3 - 3*a**2 + 3*a**2.
-28*a**3
Collect the terms in 78 - 47 - 31 + 16*o**2.
16*o**2
Collect the terms in -164 + 164 - h.
-h
Collect the terms in i**3 - 5977*i**2 + 5977*i**2.
i**3
Collect the terms in 4*o + 3*o - 7*o + o.
o
Collect the terms in -62*f - 62*f + 145*f.
21*f
Collect the terms in -4*m**2 - 5*m + 3*m - m**3 + 77*m**3.
76*m**3 - 4*m**2 - 2*m
Collect the terms in 4004*g - 8019*g + 4014*g.
-g
Collect the terms in 10*a + 8*a - 18*a - 4*a**2.
-4*a**2
Collect the terms in -51*d**2 + 26*d**2 + 25*d**2 + 11*d**3.
11*d**3
Collect the terms in 5*h**3 - 2663 - 4*h**3 + 0*h**3 + 2663.
h**3
Collect the terms in 50 - 103 + 26 + 2*y**2 + 27.
2*y**2
Collect the terms in -2*r**2 + 5464911 - 5464911.
-2*r**2
Collect the terms in 0*x - 4*x + 7*x.
3*x
Collect the terms in -42*r**3 - 252*r + 252*r.
-42*r**3
Collect the terms in -3 - 7*o + 2 + 1.
-7*o
Collect the terms in 11 - 7*v**2 - 45 + 34.
-7*v**2
Collect the terms in -681*d**2 + 318*d**2 + 336*d**2.
-27*d**2
Collect the terms in -5*w**2 - 3*w**2 + 0*w**2 - 10*w**2 + 21*w**2.
3*w**2
Collect the terms in f - 35 - 33 + 68.
f
Collect the terms in -170 - 9*p**3 - 168 + 338.
-9*p**3
Collect the terms in -21*v**3 - 3*v**3 + 31*v**3 - 6*v**3.
v**3
Collect the terms in 3*q**2 + q**2 + 1867*q - 1867*q + 2*q**2.
6*q**2
Collect the terms in 5*y**2 + 0 - 3*y**2 + 2.
2*y**2 + 2
Collect the terms in -t - 617*t**2 + 0*t + 620*t**2 + t.
3*t**2
Collect the terms in -225*a**2 + 15 - 15.
-225*a**2
Collect the terms in 3*q**3 - 8*q**3 - 3*q**3 + 0*q**3.
-8*q**3
Collect the terms in -216*g + 4*g**2 + 216*g.
4*g**2
Collect the terms in -3*n**3 + 38613 - 38613 + 6*n**3.
3*n**3
Collect the terms in -4*n**2 + 4*n**2 + 2*n**3 + 0*n**2.
2*n**3
Collect the terms in -4*q - q - 14*q - 28*q.
-47*q
Collect the terms in -2*t**2 + 31*t**2 - 3*t**2.
26*t**2
Collect the terms in -12*m - 177 - 174 - 175 + 526.
-12*m
Collect the terms in -77*c + 10*c - 3*c.
-70*c
Collect the terms in 4*k - 1995 + 1995 - k.
3*k
Collect the terms in 3*l**3 - 349 + 349.
3*l**3
Collect the terms in 1 + 5*h**2 - 1.
5*h**2
Collect the terms in 26*l - 37*l + 0 + 0.
-11*l
Collect the terms in -10*d + 10*d + 33*d**3.
33*d**3
Collect the terms in 15*a**2 + 17*a**2 - 33*a**2.
-a**2
Collect the terms in -1297*q - 1295*q + 2594*q.
2*q
Collect the terms in v + 54 - 57 + 3.
v
Collect the terms in 22*i**3 - 4 - 25*i**3 + 4.
-3*i**3
Collect the terms in -61 - 22 - 6*s**2 + 83.
-6*s**2
Collect the terms in -272*p**3 - 281*p**3 + 550*p**3.
-3*p**3
Collect the terms in 84*f**3 - 8*f + 68*f**3 + 8*f.
152*f**3
Collect the terms in v - 46*v**2 + 25*v**2 + 20*v**2 - v.
-v**2
Collect the terms in -13*x**3 + 110*x**3 + 167*x**3.
264*x**3
Collect the terms in -213*u**3 - 2*u | {
"pile_set_name": "DM Mathematics"
} |
2*q*((q/((((q**9*q)/q)/q)/q))/q)/q*q*((q**(3/7)/q)/q)**(1/28) assuming q is positive.
q**(-795/196)
Simplify t*t*t**(-2/41)*t**(-9)/t*t**(-9/2)*t*t/(t**6/t) assuming t is positive.
t**(-1275/82)
Simplify (q*q*(((q**3/q*q)/q)/q)/q*q*q)**36*(q/(q/(q**(-1/3)*q))*q)**(2/199) assuming q is positive.
q**(85978/597)
Simplify (y**(-6/11)/(((y*y*y**(-7)*y)/y)/y))/(y**(-11)/y**(1/9)) assuming y is positive.
y**(1640/99)
Simplify (a*a*a*a**(1/2)/a*a)**14*a*a/a**(-2/11)*a*a**(1/23) assuming a is positive.
a**(13213/253)
Simplify (t*t**(-2/29))/(t/t**(-2/13)*t)*t/t**(-1)*(t**(2/5)*t)/t assuming t is positive.
t**(2219/1885)
Simplify t**(-5/2)*t*t*t/t**9*t*t**(-14)*(t*t*t**(-1/2))/t assuming t is positive.
t**(-21)
Simplify ((c**(8/7)/c)/(c*c/c**33))**(3/8) assuming c is positive.
c**(327/28)
Simplify (((j/(j/(j/(j/j**1*j))))/j)**(-8/7)*j**(3/2)*j**5)**(-47) assuming j is positive.
j**(-5029/14)
Simplify (c**(-1/30)/c)**(-33)/(c*c*c**(12/7))**(-10/9) assuming c is positive.
c**(24083/630)
Simplify o**(-26/5)/o**(-14/3)*o**(6/5)*o**(1/21)/o assuming o is positive.
o**(-2/7)
Simplify (x**(-10))**(-30)*(x/(x*x**(-4)*x))/(x**(1/4)*x) assuming x is positive.
x**(1207/4)
Simplify (x**(2/11)*(x/(x/x**(8/3)))/x)/(((x/((x/(x/x**(2/7)))/x))/x)/x)**(-29/5) assuming x is positive.
x**(221/1155)
Simplify s**(-9/2)/(s**(-1/3)*s)*(s**(-3)*s)**(-3/10) assuming s is positive.
s**(-137/30)
Simplify (q**(1/7)/q)**(-18)/(((q**(-34)/q)/q)/q*q**(-4/7)*q*q) assuming q is positive.
q**51
Simplify m**10/m*m**12*m/m**(6/11)*m**(1/13) assuming m is positive.
m**(3079/143)
Simplify (((p*(p**(1/31)*p)/p)/p)/p**11)/((p/(p/(p**(3/7)/p)))/(p*p**13)) assuming p is positive.
p**(782/217)
Simplify (y**(3/11)*y)/(y/y**(9/7)*y*y)*y**19/y**(4/5) assuming y is positive.
y**(6837/385)
Simplify ((y*y/(y/(y/(y**4*y)*y*y*y*y)))**6)**31 assuming y is positive.
y**186
Simplify (v*v**(-1/4)*v)**25/(v**(-6)/(v/(v*v/(v*((v*v**(2/29))/v*v)/v)))) assuming v is positive.
v**(5779/116)
Simplify q**(5/7)/(q/q**(-6))*q**(-11/2)/(q**(-14)/q) assuming q is positive.
q**(45/14)
Simplify (v*v/v**(1/2))**5/(v*v/v**2)**(-2/9) assuming v is positive.
v**(15/2)
Simplify (l/((l/(l/l**(-20)))/l))/((l/((l/l**(-1/7))/l))/l)*l**(-1/9)/(l/(l*l**(2/21)*l)) assuming l is positive.
l**(1457/63)
Simplify (l*l*l**(3/40)*l*l*(l**38*l)/l)**11 assuming l is positive.
l**(18513/40)
Simplify ((k**(-3)/k**5)/((k/k**(2/11)*k)/k*k*k/(k*(k/k**(-2/11))/k)))**(-3/8) assuming k is positive.
k**(159/44)
Simplify (((f*f/(((f**(1/7)/f)/f)/f))/f**8)/(f**(1/3)/f**6))**(-1/25) assuming f is positive.
f**(-53/525)
Simplify (((r*r*(r*r/(r*r**(-10)*r)*r*r)/r)/r)/r**(-1/8)*r**(1/13)*r**(2/7)/r)**(-1/41) assuming r is positive.
r**(-8363/29848)
Simplify ((i*i**(-5/9)/i)/(i**15/i))/(i/(i/(i*i/(i**(-7)*i)))*i*i/(i/i**(-1))) assuming i is positive.
i**(-203/9)
Simplify (((h**(-2/5)/h)/h**(4/5))/((h**(-4)/h)/(h/h**(-2/23))))**(-2/15) assuming h is positive.
h**(-298/575)
Simplify m**27/m**27*(m/m**(-4))/(m/((m**(-3/11)/m*m*m)/m*m)) assuming m is positive.
m**(52/11)
Simplify (((d**1/d)**(10/3))**(-2))**(-1/8) assuming d is positive.
1
Simplify ((z*z/(((z*z/(z**(-1/4)/z))/z)/z))**(-4/13))**(2/19) assuming z is positive.
z**(-6/247)
Simplify (((p*p**(-2/23)*p)/((p/((p/((p/p**(1/11))/p))/p*p))/p))**(-5/6))**(-1/2) assuming p is positive.
p**(950/759)
Simplify k*k**(2/27)*k**(-2)*(k**(-5))**(-3/11) assuming k is positive.
k**(130/297)
Simplify v**(4/19)*v/(v**(-12/13)/v)*(v*v/(v*v/v**(4/23)))/v*(v/v**(-15))/v assuming v is positive.
v**(98324/5681)
Simplify (i**(-4))**43/(i/(i/i**(9/4)*i*i)*(i**4/i)/i) assuming i is positive.
i**(-697/4)
Simplify (d/d**(1/5))**(-8/17)*(d/(d/(d**(2/11)*d)))**(5/2) assuming d is positive.
d**(4821/1870)
Simplify (v**5/(v/(v*v**(1/10))))/(v**(-13)*v*v*v**(1/9)) assuming v is positive.
v**(1439/90)
Simplify ((f*f**(12/7))**(-2/25))**(-1/18) assuming f is positive.
f**(19/1575)
Simplify ((v/((v/(v*v*v**(-14/3)*v)*v)/v*v))/v**(3/13))/(v**(-2/7)*v**(-3/10)*v) assuming v is positive.
v**(-9041/2730)
Simplify (s**(10/13)/(s*(s*s/s**13)/s*s))/(s**(11/2)/(s/(s**(-1/49)*s))) assuming s is positive.
s**(6739/1274)
Simplify (s**1*s)/s**(5/4)*s**(-8)*s*(s/(s*s**11/s*s))/s assuming s is positive.
s**(-73/4)
Simplify (y*y*(y/y**(1/35))/y*(y/y**(-12))/y)**(-38) assuming y is positive.
y**(-18582/35)
Simplify (m**(4/3)*m*m)/((m/((m/(m*m**(-11)))/m*m))/m)*m**(-8/7)/(m/(m/(m**8/m))) assuming m is positive.
m**(130/21)
Simplify c**14*c/((c/(c*c**(-17)))/c)*(c*c**15)/(c*c/(c**(-8)/c)) assuming c is positive.
c**4
Simplify ((((h*h**0*h)/h)/h**5)/(h**0)**(-1/8))**(12/7) assuming h is positive.
h**(-48/7)
Simplify ((z*z**(8/11))/(z*z**(-27)))/(z**(1/4))**(-5/13) assuming z is positive.
z**(15915/572)
Simplify (i*i*i**(5/3)/i*i*i**(-1/2)/i*i)/((i**(1/3)*i)/(i*i**(-3/4))) assuming i is positive.
i**(25/12)
Simplify (d**12*d)/d**18*((d**(-3/7)*d)/d)/(d/(d**(3/5)*d)) assuming d is positive.
d**(-169/35)
Simplify m*(m**29/m*m)/m*(m/(m/((m*m**29)/m)))/m*(m*(m**(-1/43)/m)/m)/((m**1*m)/m) assuming m is positive.
m**(2364/43)
Simplify ((f**(1/2))**17*((f**(2/3)*f)/f)**(2/9))**(-19) assuming f is positive.
f**(-8873/54)
Simplify (z**4)**(-14/3)*(z**(-1/3))**17 assuming z is positive.
z**(-73/3)
Simplify ((c**(-1/5)*c/(c*c/((c*c**4)/c)))**(-10/11))**(-1/28) assuming c is positive.
c**(1/11)
Simplify ((p*((p/p**(1/34))/p)/p)/(p*p*p**(3/13)))**18 assuming p is positive.
p**(-8991/221)
Simplify ((r/(r*r**(-22)))/(r/r**17))/(r*r/r**(-1/4))**(-2/53) assuming r is positive.
r**(4037/106)
Simplify (w/w**(-2/77)*w*w/(w/((w*w**(-13))/w)))**(-10/17) assuming w is positive.
w**(8450/1309)
Simplify w**(-3/17)/((w/(w**(-3/16)/w))/w)*((w*w*w/(w*(w**18/w)/w)*w*w)/w)/(w/(w**(6/11)*w)) assuming w is positive.
w**(-41345/2992)
Simplify y**14*(y/(y*y**33/y))/y*y**17*y*y**12*y assuming y is positive.
y**12
Simplify (m**(-6)/(m**(-6/7)*m)*(m**(-8)/m)/(m*m*m**4*m))**(2/21) assuming m is positive.
m**(-310/147)
Simplify (((g**23*g)/g)/g*g/g**(-1/18))**(-19) assuming g is positive.
g**(-7885/18)
Simplify ((c**(2/11)/c*c)**(-1/46)*(c**(-2/11))**(-2))**(-1/4) assuming c is positive.
c**(-91/1012)
Simplify ((q/(q/q**0))/q*q)/q**(-9)*(q/(q/(q**(-5)*q)))**(-8/7) assuming q is positive.
q**(95/7)
Simplify (x**(-19/2)/x**(-14))**(-15) assuming x is positive.
x**(-135/2)
Simplify (y/(y*y*y**(-4/11))*y**26)/(y*y/(y*y*y/(y*y*y/(y/y**(-7)*y)))*y/y**(2/9)) assuming y is positive.
y**(3127/99)
Simplify (f**(2/5)/f*f)**(7/3)/(f**(-15)/(f*f*f*f*f*f*f**(-6))) assuming f is positive.
f**(239/15)
Simplify ((s**(2/9)/(s*s*s**1))/(s/(s*s**(2/5))*s**(-2/3)))**(1/14) assuming s is positive.
s**(-11/90)
Simplify (k**4/(k*k**15))/((k*k**(-1/19)*k)/k)**(-6) assuming k is positive.
k**(-120/19)
Simplify ((d**(-2))**(-10/9)*d/d**(-3)*(d*d*d/(d**(-5/2)/d*d)*d*d)/d)**(2/25) assuming d is positive.
d**(229/225)
Simplify ((u*(u/(u/(u*u**3)))/u*u**(-3/2)/u)**(12/7))**(-19) assuming u is positive.
u**(-342/7)
Simplify (p**(2/9))**8*p**(-3/14)*p**(-1/2) assuming p is positive.
p**(67/63)
Simplify (z/z**5)**11*z*z**(-4)*z**(2/7)*z assuming z is positive.
z**(-320/7)
Simplify (u/u**(-3/7)*u**7)/(u**2*u*u**12) assuming u is positive.
u**(-46/7)
Simplify (w/((w**(-13)*w)/w*w))/(w*(w*w*w**(-21))/w)*w**24/w*w/(w*((w*w**(2/23)*w*w*w*w)/w)/w*w) assuming w is positive.
w**(1171/23)
Simplify p**(-2/13)/p**24*p**(-1/23)/p**(-9) assuming p is positive.
p**(-4544/299)
Simplify (w**5/(w/w**(2/17)))**31 assuming w is positive.
w**(2170/17)
Simplify (a**(-2/23)*a**(-8/3))**(8/5) assuming a is positive.
a**(-304/69)
Simplify ((c**(-4/9))**(-5/8))**15 assuming c is positive.
c**(25/6)
Simplify ((o*o/o**(1/27))/o)/(o/o**(4/11))*(o*((o/(o**0/o))/o)/o)/(o/(o*o**(-33)*o)) assuming o is positive.
o**(-9110/297)
Simplify (o*o/o**(-11))**(6/23)*(o/((o**(-4)/o*o)/o))/o*o**(1/43) assuming o is positive.
o**(8322/989)
Simplify (((d*d**(-5/3))/d)**(2/11))**50 assuming d is positive.
d**(-500/33)
Simplify l**(7/8)/l**(-8)*l**11*l*l**(-18) assuming l is positive.
l**(23/8)
Simplify ((n*(n*n**(1/5))/n)**(-23)*n**(-1/13)*n**(-8))**23 assuming n is positive.
n**(-53337/65)
Simplify x**26/x**(-22)*x**5/(x**(-1/3)/x) assuming x is positive.
x**(163/3)
Simplify (d*d/(d*(d**(-10)/d)/d))/((d**(3/5)*d)/d)*((d/((d/(d/(d*d**(-5)))*d*d)/d))/d)/d**13 assumi | {
"pile_set_name": "DM Mathematics"
} |
d(-1)?
2
Let q(o) = 673*o + 59231. What is q(-88)?
7
Let u(o) = -4*o**3 - 2*o**2 - 4*o + 11. What is u(-5)?
481
Let y(n) = 17*n**2 + n + 9. What is y(3)?
165
Let o(h) = h**3 - 7*h**2 + 104*h - 569. Determine o(6).
19
Let p(f) = 212*f + 6576. What is p(-31)?
4
Let k(b) = -b**3 - 178*b**2 - 156*b + 3710. Calculate k(-177).
-7
Let a(u) = u**3 + 22*u**2 + u + 21. What is a(-22)?
-1
Let z(p) = -p**3 + 20*p**2 - 14*p + 57. Give z(20).
-223
Let i(o) = -o**2 - o + 155. Calculate i(-12).
23
Let r(a) = 625*a - 4982. Calculate r(8).
18
Let p(j) = 143*j - 1740. Calculate p(12).
-24
Let t(c) = -c**2 - 44*c + 330. What is t(7)?
-27
Let m(y) = -y**2 + 10*y - 71. What is m(17)?
-190
Let z(k) = 4*k**2 - 98*k - 27. Calculate z(23).
-165
Let r(n) = n**3 + 33*n**2 - 73*n - 75. What is r(-35)?
30
Let k(z) = -11*z + 454. Determine k(35).
69
Let d(w) = w**2 + 50*w - 1781. Determine d(-74).
-5
Let j(w) = w**3 + 9*w**2 - 18*w. What is j(-7)?
224
Let a(m) = -m**3 + 8*m**2 + 7*m - 19. Determine a(10).
-149
Let g(v) = 2444*v - 34. Determine g(0).
-34
Let z(h) = -h**2 + 41*h + 1178. Determine z(61).
-42
Let r(a) = -468*a - 3280. Determine r(-7).
-4
Let s(y) = 2*y**2 - 1242*y + 6174. Give s(5).
14
Let k(v) = -2*v**2 + 7*v + 63. Calculate k(-9).
-162
Let f(k) = -3*k - 75. Calculate f(-5).
-60
Let y(a) = a**2 - 1904*a + 105283. What is y(57)?
4
Let l(z) = 3*z**3 - z**2 - 4*z + 3. What is l(4)?
163
Let z(a) = 11*a**2 + 524*a + 821. Calculate z(-46).
-7
Let w(c) = c**3 + 6*c**2 - 10*c + 8. Calculate w(-6).
68
Let u(t) = -140*t**3 + 3*t**2 - 2*t + 1. Calculate u(1).
-138
Let w(f) = -f**2 + 926*f + 13146. What is w(-14)?
-14
Let r(p) = -p**3 - 56*p**2 - 103*p + 178. Calculate r(-54).
-92
Let n(m) = -19*m + 2885. Calculate n(151).
16
Let q(a) = a**2 - 119*a + 2728. Determine q(31).
0
Let x(b) = 61*b**3 + 5*b**2 + 7*b + 2. Give x(-1).
-61
Let p(m) = 6737*m + 20232. Give p(-3).
21
Let o(b) = -b**2 - 6*b + 181. Give o(-14).
69
Let q(i) = 247*i**2 + 2703*i - 104. Give q(-11).
50
Let z(v) = 38*v - 221. Calculate z(6).
7
Let y(u) = 70*u + 60. Give y(-3).
-150
Let q(j) = 41*j + 3407. Give q(-83).
4
Let m(k) = k**3 - 23*k**2 - 38*k + 368. Determine m(24).
32
Let g(h) = -h**2 - 9388*h - 56283. Give g(-6).
9
Let s(f) = -f**2 - 13*f + 61. What is s(4)?
-7
Let r(x) = -4*x**2 + 130*x - 32. What is r(32)?
32
Let b(v) = v**2 + 27*v + 185. Determine b(-10).
15
Let t(o) = -10828*o - 184066. Give t(-17).
10
Let f(z) = -z**2 - 63*z - 398. Calculate f(-7).
-6
Let q(c) = 84*c - 1738. Calculate q(20).
-58
Let m(x) = 56*x + 5465. Give m(-100).
-135
Let o(r) = 270*r**2 + 2435*r + 50. Give o(-9).
5
Let v(f) = -159*f - 1586. Give v(-10).
4
Let u(s) = 84*s + 1688. Give u(-20).
8
Let w(i) = 2*i**2 + 128*i - 266. Calculate w(-66).
-2
Let l(k) = 113*k - 5407. What is l(48)?
17
Let n(y) = 25*y**3 + 4*y**2 - 3. Give n(1).
26
Let b(k) = -115*k + 1227. Determine b(11).
-38
Let w(s) = 140*s**2 - 597*s + 150. Give w(4).
2
Let b(t) = 3*t**3 - 3*t**2 + 4*t - 2. Give b(1).
2
Let p(x) = -122*x - 1233. Calculate p(-11).
109
Let m(x) = x**2 + 99*x - 1323. Give m(-111).
9
Let x(z) = 105*z**2 + 16*z - 4. Determine x(-2).
384
Let x(t) = 3*t**3 - 6*t**2 - 39*t + 25. Determine x(-3).
7
Let r(x) = -x**2 + 38*x + 1025. Determine r(-18).
17
Let a(m) = m**2 - 29*m + 33. Determine a(25).
-67
Let a(x) = 16*x - 244. What is a(18)?
44
Let f(i) = 4*i**2 + 25*i - 79. What is f(3)?
32
Let w(g) = 7*g**2 + 102*g + 392. Calculate w(-7).
21
Let r(b) = -123*b - 45. Determine r(-3).
324
Let c(h) = 7*h**2 - 498*h + 245. Determine c(71).
174
Let o(l) = -33*l - 178. Give o(-3).
-79
Let i(p) = p**2 - 278*p + 5509. Determine i(22).
-123
Let z(h) = 157*h + 665. What is z(-4)?
37
Let i(t) = 15*t - 156. Give i(6).
-66
Let s(k) = -27*k - 987. Determine s(-36).
-15
Let y(w) = 28*w - 602. Give y(-8).
-826
Let l(u) = 3*u**2 + 125*u + 761. Give l(-7).
33
Let k(s) = 23*s**3 - 22*s**2 - 32*s - 9. Determine k(-1).
-22
Let q(z) = -29*z - 2205. What is q(-77)?
28
Let h(a) = 37*a - 845. Determine h(23).
6
Let i(x) = -4*x + 4. Calculate i(10).
-36
Let i(k) = 114*k**2 - 1601*k + 67. Determine i(14).
-3
Let q(u) = -218*u**2 + 2*u. Determine q(-1).
-220
Let m(c) = 366*c + 7681. What is m(-21)?
-5
Let o(w) = -3*w**3 - 4*w**2 + 43*w - 16. Determine o(5).
-276
Let w(k) = -4*k**3 - 18*k**2 + 22*k + 61. Calculate w(-6).
145
Let r(x) = 212*x - 1106. Give r(6).
166
Let o(a) = a**2 + 512*a + 61571. Calculate o(-319).
4
Let a(z) = -6*z**2 + 75*z - 480. Determine a(7).
-249
Let b(h) = -2*h**3 - 69*h**2 - 243*h - 701. Determine b(-31).
105
Let i(b) = 983*b**2 + 6*b + 7. What is i(-1)?
984
Let y(s) = s**2 - 70*s + 793. Give y(56).
9
Let i(y) = -y**2 - 57*y - 484. Determine i(-11).
22
Let n(i) = 34*i - 78. Determine n(4).
58
Let v(i) = 132*i + 4590. Determine v(-34).
102
Let t(s) = s**3 - 24*s**2 + 25*s - 15. Determine t(23).
31
Let x(z) = -2*z**3 + 19*z**2 + 26*z - 372. Give x(10).
-212
Let b(z) = -2*z**3 - 106*z**2 + 456*z + 82. Calculate b(-57).
82
Let w(b) = -69*b**2 - 15*b - 11. Calculate w(-1).
-65
Let b(n) = 6*n**2 + 10*n - 203. Give b(-7).
21
Let c(a) = -433*a + 873. Calculate c(2).
7
Let r(i) = -7*i - 309. Give r(-46).
13
Let k(x) = -x**2 - 22*x + 19. Determine k(-12).
139
Let c(k) = 3*k**3 + 16*k**2 + 16*k + 31. Calculate c(-2).
39
Let l(t) = t**3 + 15*t**2 + 21*t + 586. Give l(-16).
-6
Let p(w) = -4*w**2 + 76*w + 39. Give p(15).
279
Let f(k) = 5*k**2 + 158*k - 57. Calculate f(-32).
7
Let l(g) = -7*g**2 + 4*g - 7. What is l(0)?
-7
Let h(l) = l**2 - 59*l - 1212. What is h(-14)?
-190
Let n(g) = -g**2 - 79*g - 473. Give n(-6).
-35
Let z(w) = 343*w + 2387. Give z(-7).
-14
Let f(d) = d**3 - 176*d**2 + 30*d - 5382. Give f(176).
-102
Let o(t) = 28*t**3 + 2*t**2 + t - 1. Give o(1).
30
Let f(h) = 215*h**3 + 15*h**2 + 16*h + 1. Give f(-1).
-215
Let s(r) = -97*r**2 - 80*r + 76. Give s(1).
-101
Let r(y) = 275*y + 120. Give r(-1).
-155
Let v(o) = o**3 + 5*o**2 - 219*o + 197. Give v(12).
17
Let o(i) = -i**3 + 9*i**2 - 6*i + 19. Calculate o(4).
75
Let m(s) = 7*s**2 - 1101*s - 783. What is m(158)?
7
Let w(m) = -185*m - 43469. Calculate w(-235).
6
Let y(i) = -484*i + 82770. Determine y(171).
6
Let p(a) = 43*a**2 + 2496*a + 77. What is p(-58)?
-39
Let k(w) = 2*w**3 - 11*w**2 - 73*w + 21. Determine k(9).
-69
Let j(a) = -134*a + 945. Calculate j(7).
7
Let u(c) = 2*c**2 - 18*c + 171. Determine u(9).
171
Let g(n) = -n**3 + 2*n**2 + 46*n - 30. Determine g(-5).
-85
Let s(t) = -70*t + 1810. Calculate s(47).
-1480
Let l(w) = 3547*w + 7100. Calculate l(-2).
6
Let v(p) = 8*p - 882. Give v(21).
-714
Let p(f) = -7*f**2 - 75*f + 17. Give p(-11).
-5
Let l(u) = -2*u - 56. Give l(26).
-108
Let v(m) = -m**2 + 8*m + 2. Calculate v(-9).
-151
Let z(t) = -5*t**2 - 42*t + 146. Give z(-11).
3
Let f(z) = 395*z + 1196. What is f(-3)?
11
Let i(k) = -9*k**2 - 98*k - 270. Give i(-9).
-117
Let a(s) = 14*s**3 + 2*s**2 - 7*s + 1. Calculate a(2).
107
Let d(o) = -55*o + 685. What is d(12)?
25
Let l(i) = -i**3 - 74*i**2 - 22*i - 1586. What is l(-74)?
42
Let z(b) = 336*b - 18110. Give z(54).
34
Let r(i) = 15967*i + 223550. What is r(-14)?
12
Let y(h) = h**3 - 119*h**2 + 461*h - 88. Calculate y(115).
27
Let t(q) = -q**3 - 47*q**2 - 492*q + 136. Calculate t(-31).
12
Let z(o) = 4466*o + 35714. Determine z(-8).
-14
Let l(y) = 50*y**2 + 107*y + 8. Determine l(-2).
-6
Let h(k) = -1168*k - 3495. Calculate h(-3).
9
Let t(p) = -p**3 + 20*p**2 - 17*p + 23. What is t(20)?
-317
Let v(g) = 20*g**2 - 34*g + 102. Determine v(7).
844
Let n(y) = -y**3 + 42*y**2 + 3*y - 29. Give n(0).
-29
Let h(r) = -6*r + 69. Give h(100).
-531
Let g(c) = c**3 + c**2 + 23*c - 16. Give g(0).
-16
Let m(f) = f**3 - 6*f**2 + f + 49. Give m(8).
185
Let z(s) = -12*s - 1008. Give z(-83).
-12
Let y(c) = c**2 + 19*c + 9. What is y(1)?
29
Let v(w) = 351*w - 7377. Calculate v(21).
-6
Let c(o) = -16*o - 576. Determine c(-35).
-16
Let i(o) = 846*o + 11838. What is i(-14)?
-6
Let l(w) = 3*w**2 - 24*w - 47. Calculate l(8).
-47
Let h(p) = -205*p + 212. Give h(1).
7
Let d(y) = 2*y**3 + 3*y**2 - 121*y + 239. Give d(2).
25
Let b(p) = p**3 + 8*p**2 + 12*p + 24. What is b(-5)?
39
Let l(v) = -v**3 - 3*v**2 - 26*v - 229. Give l(-6).
35
Let y(w) = -w**2 - 110*w - 715. Determine y(-103).
6
Let g(q) = -q**3 + 10*q**2 + q - 14. What is g(9)?
76
Let w(c) = -4*c**3 + 147*c**2 + | {
"pile_set_name": "DM Mathematics"
} |
-2/5? (a) m (b) 1 (c) y
c
Let x(u) = 4*u - 12. Let h be x(3). Which is the nearest to -2? (a) -0.2 (b) 0.17 (c) 2 (d) h
a
Let h = 46.6 - 47. What is the nearest to -1 in -1/3, 5, h?
h
Let s = -366 - -365.9. Suppose -12 = 3*g - 6. What is the nearest to s in -0.5, 2, g?
-0.5
Let o be ((-1)/10)/(3/(-2)). Let j = -1514 + 1512. What is the nearest to -0.1 in j, 0.3, o?
o
Let p = -6 + 11. Let o be (-1)/2 + 403/558. Let z = -0.3 + -0.7. Which is the closest to z? (a) o (b) -5 (c) p
a
Let k(h) be the second derivative of h**5/20 + h**4/6 - 4*h**3/3 + h**2/2 - 7*h. Let m be k(-4). What is the closest to m in -0.2, -0.1, 1?
1
Let f = 248 + -249. Which is the nearest to 2/9? (a) 0.06 (b) f (c) 0.4
a
Suppose -5*x = -3*s - 0*x + 9, 4*s - x = 12. Suppose 0 = -5*c + 2*c + 768. Let k = c - 1788/7. What is the nearest to -2/9 in k, s, -1?
-1
Let t = 6 - -134. Let s = t - 281/2. Suppose 0 = -4*c - 3*o - 3, -o - 1 = -5*c - 0*o. What is the nearest to 1 in -1, c, s?
c
Let u(g) = 2*g + 9. Let r be -7 + (-6)/(-4)*72/54. Let t be u(r). Let w = 0.2 - 0.1. What is the closest to w in 2, t, -4/7?
-4/7
Let a = -18/11 - -32/33. Let s = 86 + -91. Let m be (-2)/(-6) - 3/36. What is the nearest to m in a, -1, s?
a
Let d = 1 - 2. Let k = 4.1 + 0.9. Let o = 126 - 126. What is the nearest to -0.1 in k, o, d?
o
Let q = -0.888 - -6.888. Which is the nearest to 2? (a) 3 (b) 4/3 (c) q (d) 2
d
Let p be (-18)/(-3)*-3*(-3)/99. What is the closest to -1 in 3/7, p, 0.1?
0.1
Let d = -258.3 - -258. Which is the nearest to -0.01? (a) 5 (b) d (c) 1/2
b
Let p = -6 + 6.4. Let d be 3/(-36) - (-115)/276. What is the closest to d in p, 3/2, -0.4?
p
Let n = 5.9 + -6.8. What is the closest to -1/3 in n, -4, 3/5?
n
Let x = 2 - 6.6. Let t = 3.6 + x. Which is the nearest to t? (a) 3/7 (b) 0.4 (c) -2/7
c
Let h = -8911 + 8914. Let a = 4 - 9. Let l = -1 + 1.1. What is the closest to l in h, 0, a?
0
Let n be 1/84*((-20)/6 + 2). Let p = 41/63 - n. Let y = 1.04 - 0.04. What is the nearest to y in p, -2, -2/7?
p
Let v(o) = -o - 21. Let w be v(-4). Let k be 174/70 + -2 + w/85. Which is the nearest to k? (a) 2/3 (b) -5 (c) 1/3
c
Let g be (-6)/(-4)*(-32)/384. Which is the closest to -0.1? (a) g (b) 2/9 (c) 1
a
Let k = 111.719 + -1.619. Let z = 110 - k. Which is the closest to 0.1? (a) -2/7 (b) z (c) 3/2
b
Let j be (-5080)/64 - 3/((-2)/2). Let l = -76 - j. What is the nearest to 0.1 in -0.05, l, 2/15?
2/15
Let i = -73 + 72.948. Let s = i - 0.098. Which is the nearest to -2? (a) -4 (b) -3 (c) s
b
Suppose -n + r + 40 = 0, 4*r = -4*n - r + 196. What is the closest to 0.2 in 2/5, 2/21, n?
2/21
Let w be (-6)/(-14)*-1 + 1. Let m = -14 + 13.9. Let k = -5.5 + 6. Which is the closest to m? (a) w (b) k (c) -5
b
Let o = 0.005 - 39.005. Let r = -32 - o. Which is the closest to -1? (a) 1 (b) r (c) -4
a
Let k = -1 - -0.5. Suppose o - 15 = -2*o. Which is the closest to 0.1? (a) o (b) 1/5 (c) k
b
Let g = -353/6 - 95/6. Let f = g - -75. What is the closest to -0.1 in 7, f, -2/9?
-2/9
Suppose 3*h = 3*w - 6, -7 = -3*h - h - w. Let t(o) be the first derivative of o**4/4 - 5*o**3/3 + 5*o - 4. Let j be t(5). What is the nearest to h in 0.1, j, 1?
1
Let g = 401.8 - 402. Which is the nearest to 3/4? (a) 10 (b) 2/3 (c) g
b
Let y = 756.5 + -757. Suppose 3*r + 2*o - 13 = -0*o, -3*o + 18 = 3*r. Which is the nearest to -3? (a) y (b) r (c) -0.9
c
Let y be (-3)/(-7) - (-30)/28. Let g = -253 + 252. Let p = 3 + -3.1. What is the nearest to 1/6 in p, y, g?
p
Suppose 4*w - 4*m = -0 + 8, 3*m = 0. Let y be (w/6)/((-5)/(-75)). What is the closest to -2 in y, -2, -5?
-2
Let f = -33 - -19. Let j be (-31)/35 + f/(-49). What is the nearest to 1/3 in -1/5, j, -2/3?
-1/5
Let b = -46/147 + -1/49. Let m = 111344/21 - 5302. What is the nearest to b in 3, m, -0.1?
-0.1
Let x = -67.1 - -67. Let i = -6 - -4.9. Let d = i - -0.8. Which is the nearest to x? (a) 2 (b) -0.5 (c) d
c
Suppose -3*o = d - 2, -5*d = o - 5 + 9. Which is the nearest to o? (a) 0.5 (b) -1 (c) -8/9
a
Let i = -2.38 + -0.62. Which is the closest to i? (a) 0 (b) 1/4 (c) 1
a
Let i = 1.91 + -135.91. Let h = 134 + i. What is the closest to h in 1, -2, 0.5?
0.5
Let y = -0.06 + 2.06. Let x = y - 1.8. Suppose -23*p - 547 = -432. Which is the closest to x? (a) p (b) -3 (c) 2/3
c
Let r = -0.181 + 0.081. What is the nearest to r in 4, -2/9, 107, 3?
-2/9
Let l = 385 - 385.3. What is the closest to l in 0, -1, -5?
0
Let j(k) = -1 + 2 - 57*k + 78*k. Let i be j(-1). Let y = 21 + i. What is the nearest to 1/6 in -1/7, y, 0.3?
0.3
Let p be (2925/(-490))/(-13) + 2/(-4). Which is the nearest to 0? (a) 0.3 (b) p (c) -2/9
b
Let l be ((-2)/6)/(-1 + 7/(-6)). Suppose -2*f = -4*f - 12. Let q be (2 - 5)*(-8)/f. Which is the nearest to 2/5? (a) l (b) q (c) 3
a
Let j = -1.1 - -1. Let i = -29 + 30.4. Let m = 1 - i. Which is the closest to -1? (a) j (b) m (c) -5
b
Let i = -55.64 - -55. What is the nearest to 0 in i, -2/9, -3, 0.1?
0.1
Let n = -0.79 + 0.09. Let o = n - -1. Suppose -5*i = -b - 8, -2*b + 1 = 2*i - 7. What is the closest to b in -1, o, -4?
o
Let o(t) = 4*t + 56. Let d be o(-13). Let k be 1 + -4 + 6 - 13/d. Which is the closest to 1/3? (a) -3/10 (b) -3 (c) k
c
Let v = -2.11717 + 0.11717. Let y(d) = -d - 1. Let o be y(-4). Let j be (o/(-5) + 1)/2. Which is the nearest to j? (a) -0.3 (b) v (c) 1/2
c
Let s be 1 - (472/(-32) + 3 + 0). Suppose 0*j - j - 13 = 0. Let h = s + j. Which is the closest to h? (a) -0.1 (b) -2/9 (c) 0.5
b
Let u be (-1)/(-3 - (-1 - 1)). Let i(t) = t**2 - 6*t - 20. Let z be i(8). Let w be z/(32/(-18)) - (-2 + 4). What is the nearest to 2/3 in u, 0, w?
u
Suppose 0 = 5*p - 3*q + 27, 3*q = 2*p + 24 - 6. Let z = 8.93 - 12.93. What is the closest to -45 in 2/3, z, p?
z
Let j(y) = -y**2 - 9*y - 20. Let q be j(-5). Let o = 8 + -8.2. What is the closest to o in q, -1/7, 0.05?
-1/7
Let u = -147/1184 + -1/1184. Let f = -92/11 - -1726/209. Which is the closest to 1? (a) -6 (b) u (c) f
c
Let l be (28/(-35))/(126/35). Let s = -17 + 17. Which is the nearest to s? (a) -0.3 (b) -2/11 (c) l
b
Let r be (-6 + 2 - -2)*20058/(-156). Let o = r + -257. Which is the nearest to 1? (a) 1/2 (b) 4 (c) o
a
Let h(l) = -l**2 - 10*l - 14. Let j be h(-7). Which is the nearest to 3? (a) -5 (b) j (c) -3/5
c
Let h be (123/54)/(-1) + 14/(-63). Let p be (40/35)/4*14. What is the nearest to -0.2 in h, p, 3?
h
Let g = 33.045 + -0.045. Let j = g - 35. Which is the closest to 1? (a) -4 (b) j (c) 0.4
c
Let q be (12/(-16) - -1)*4. What is the nearest to -0.2 in 13, q, -4?
q
Let r(n) = 56*n + 672. Let a be r(-12). Let p = 0 - 0.8. What is the closest to -0.1 in -1, a, p?
a
Let i = 13 + -28. Let l = 11 + i. Let p be (l - -5)*2/(-4). What is the nearest to p in 4, -2, -4?
-2
Suppose 2*m - 3*a + 3 = -m, 2*m + 3 = 3*a. Suppose m = 5*v - 24 - 6. Let l be (-2)/v - (-12)/(-18). What is the nearest to l in 1/4, 2, -1/5?
-1/5
Let g = -3787/60 - -253/4. Which is the nearest to 0? (a) g (b) 0.5 (c) -5/2 (d) 0.9
a
Suppose -2 = 5*g - 2*x + 9, -3*g - 15 = 3*x. Let r be (-8)/(-9) + 2/(-3). What is the closest to 7 in r, -1/4, g?
r
Let f = -4.58 + -0.42. Which is the closest to -1/5? (a) 0.4 (b) f (c) -1/4 (d) 9
c
Let l = -53.4 + 57.4. Which is the closest to 0.1? (a) 3 (b) l (c) -5 (d) 0.02
d
Let t be ((-9)/12)/((-171)/(-114)). Let a = 0.02 - 0.06. What is the nearest to a in 2/11, t, 5?
2/11
Let l be (-50)/4*1696/112. Let p = l - -189. What is the nearest to 2 in p, -5, 4?
4
Let l = 1.66 + -1.36. What is the nearest to 0 in -3, -5, l?
l
Let u = -207 + 206.873. Let w = u + 0.227. What is the nearest to w in -0.2, 4, 1?
-0.2
Let y be ((-8)/(-1))/(14/(-7)). Let z be y + 7 + 2 + -7 + 4. Let j = 0.1 - 0. What is the nearest to -1 in j, z, 0?
0
Let r = -1248 - -1256. Which is the closest to 3? (a) -0.3 (b) -1/7 (c) r (d) -4
b
Let t = -0.06 + -1.94. Let l = 33/5 + -31/5. Which is the nearest to l? (a) -0.4 (b) t (c) 0.5
c
Let z = 45 - 44.9. What is the closest to z in 2, 3, -0.4?
-0.4
Let l = -14/9 - -37/18. Let m = 382/45 + -80/9. What is the nearest to l in 3, m, -1?
m
Let s = 560 + -2798/5. Let v = 0.11 - 0.08. Let x = 0.07 + v. What is the nearest to -2 in s, -2/15, x?
-2/15
Let c = -10 + 6. Let d = 74.054 - 0.054. Let s = 72 - d. What | {
"pile_set_name": "DM Mathematics"
} |
000?
35000000
Round -16.95 to zero decimal places.
-17
Round 84010 to the nearest 1000.
84000
What is -51.5 rounded to the nearest integer?
-52
What is 7248 rounded to the nearest 100?
7200
Round 0.07072 to 2 decimal places.
0.07
What is -7.2298 rounded to one dp?
-7.2
What is -0.338 rounded to 1 dp?
-0.3
What is 1107000 rounded to the nearest 10000?
1110000
Round 0.0000005471 to 6 decimal places.
0.000001
Round 91.92 to the nearest one hundred.
100
Round -77300000 to the nearest 1000000.
-77000000
Round -0.002729 to three decimal places.
-0.003
What is -0.0002272 rounded to four dps?
-0.0002
What is 74559000 rounded to the nearest 100000?
74600000
What is 831000 rounded to the nearest one hundred thousand?
800000
What is -18.1726 rounded to 1 decimal place?
-18.2
What is -1203900 rounded to the nearest one hundred thousand?
-1200000
What is -0.8482 rounded to 1 decimal place?
-0.8
What is -7.105 rounded to one dp?
-7.1
Round 7.3972 to the nearest integer.
7
What is -1235100 rounded to the nearest 10000?
-1240000
What is -57.541 rounded to zero dps?
-58
Round -0.0197 to 3 dps.
-0.02
What is -3.4225 rounded to 1 dp?
-3.4
Round -7.446 to the nearest integer.
-7
Round 1818.1 to the nearest one hundred.
1800
Round -291.01 to the nearest one hundred.
-300
What is 67.4 rounded to the nearest one hundred?
100
Round 6.96 to 1 decimal place.
7
What is 0.02269 rounded to three dps?
0.023
Round 14467900 to the nearest 100000.
14500000
What is -4409.38 rounded to the nearest 100?
-4400
Round 66.673 to zero decimal places.
67
What is 0.000003838 rounded to seven dps?
0.0000038
What is -182600 rounded to the nearest one hundred thousand?
-200000
What is -0.0001537 rounded to five decimal places?
-0.00015
What is -0.00002 rounded to two dps?
0
Round 0.0004233 to 5 dps.
0.00042
Round 0.0000487 to 4 dps.
0
What is 0.12611 rounded to 2 dps?
0.13
What is -9097 rounded to the nearest one thousand?
-9000
What is -0.00002427 rounded to 5 dps?
-0.00002
What is 31310 rounded to the nearest 100?
31300
Round -396930 to the nearest 1000.
-397000
What is 6680 rounded to the nearest 1000?
7000
What is 0.02423 rounded to 3 decimal places?
0.024
Round -19300000 to the nearest one million.
-19000000
What is -554000 rounded to the nearest 100000?
-600000
What is 5738 rounded to the nearest 100?
5700
Round -2.4 to one decimal place.
-2.4
What is -32140 rounded to the nearest 1000?
-32000
Round 0.00237563 to 5 dps.
0.00238
Round 0.04784 to two dps.
0.05
Round -0.06452 to two dps.
-0.06
Round 13670000 to the nearest one million.
14000000
What is 302530 rounded to the nearest 10000?
300000
Round -0.000013 to four dps.
0
Round -0.00075 to 4 dps.
-0.0008
Round -1359300 to the nearest 100000.
-1400000
What is -0.000001678 rounded to seven dps?
-0.0000017
What is -0.0034 rounded to 1 dp?
0
What is -0.01299 rounded to three dps?
-0.013
Round 0.000035 to five dps.
0.00004
What is 0.000000072 rounded to 7 decimal places?
0.0000001
What is -0.00000839 rounded to 7 decimal places?
-0.0000084
Round -154300 to the nearest 10000.
-150000
Round 301800 to the nearest 100000.
300000
Round -4353000 to the nearest 1000000.
-4000000
Round 0.456 to one decimal place.
0.5
Round -0.719 to 0 dps.
-1
What is 3.791 rounded to 1 decimal place?
3.8
Round -4213000 to the nearest one million.
-4000000
What is 10.19 rounded to the nearest integer?
10
What is -33803300 rounded to the nearest 1000000?
-34000000
Round -0.0000007665 to 7 decimal places.
-0.0000008
What is 169.8 rounded to the nearest 10?
170
Round 0.000000589 to seven dps.
0.0000006
Round -0.0235685 to 3 decimal places.
-0.024
Round -12.1 to the nearest 10.
-10
Round 39.485 to one decimal place.
39.5
Round 187100 to the nearest one thousand.
187000
What is 0.000001558 rounded to seven dps?
0.0000016
Round 1.3765 to 2 decimal places.
1.38
Round 1.29 to 1 dp.
1.3
Round 198400 to the nearest ten thousand.
200000
What is -0.6217 rounded to 2 decimal places?
-0.62
What is -0.00042524 rounded to five decimal places?
-0.00043
Round 0.000034196 to six decimal places.
0.000034
Round -0.002234 to 3 dps.
-0.002
Round -172430 to the nearest 1000.
-172000
What is 0.001349 rounded to four decimal places?
0.0013
What is 0.0111275 rounded to three dps?
0.011
Round -0.013421 to three decimal places.
-0.013
What is -123.1 rounded to the nearest 10?
-120
What is -0.00093111 rounded to 5 decimal places?
-0.00093
Round -0.388 to one decimal place.
-0.4
Round -61.831 to 1 decimal place.
-61.8
What is 0.001806 rounded to 5 decimal places?
0.00181
Round -0.00131302 to 5 decimal places.
-0.00131
Round 98.898 to zero dps.
99
What is 53.944 rounded to zero dps?
54
Round -23.93 to the nearest integer.
-24
What is -93366 rounded to the nearest 1000?
-93000
Round -0.4716 to one decimal place.
-0.5
What is -0.2302 rounded to one decimal place?
-0.2
Round 142.76 to the nearest 10.
140
Round -51.86 to zero decimal places.
-52
Round 0.0000715 to 4 dps.
0.0001
What is -0.020146 rounded to three dps?
-0.02
Round 0.0324 to 3 dps.
0.032
Round -280100 to the nearest 10000.
-280000
What is -611100 rounded to the nearest ten thousand?
-610000
Round -0.005871 to four dps.
-0.0059
What is -0.000002112 rounded to 7 decimal places?
-0.0000021
What is -9.284 rounded to 1 decimal place?
-9.3
Round 0.0000888 to six dps.
0.000089
What is 0.005658 rounded to 3 decimal places?
0.006
Round -2876.8 to the nearest one hundred.
-2900
Round 196.1 to the nearest ten.
200
Round -0.0000004211 to seven decimal places.
-0.0000004
Round 0.823981 to 1 decimal place.
0.8
What is -4077.3 rounded to the nearest 100?
-4100
What is -0.0033 rounded to 1 decimal place?
0
Round 750000 to the nearest one hundred thousand.
800000
Round -1307.5 to the nearest ten.
-1310
What is -0.000001319 rounded to 7 decimal places?
-0.0000013
Round 1.16732 to 2 dps.
1.17
Round 149000 to the nearest one thousand.
149000
What is 13917 rounded to the nearest one thousand?
14000
Round -103330000 to the nearest 1000000.
-103000000
Round -45650000 to the nearest one million.
-46000000
Round -63040 to the nearest 10000.
-60000
What is 0.00051764 rounded to 4 decimal places?
0.0005
What is 4450 rounded to the nearest 1000?
4000
Round -0.00000017 to 6 decimal places.
0
What is -0.0000169 rounded to six dps?
-0.000017
Round 210399 to the nearest one thousand.
210000
What is -28.9 rounded to the nearest ten?
-30
Round 2761 to the nearest 100.
2800
Round -0.00055343 to 6 dps.
-0.000553
What is -518.5 rounded to the nearest one thousand?
-1000
What is -0.00001049 rounded to six dps?
-0.00001
Round -0.0000143185 to six decimal places.
-0.000014
Round 13115800 to the nearest 100000.
13100000
Round -145000 to the nearest 1000.
-145000
Round 0.00508817 to five decimal places.
0.00509
Round -49708 to the nearest 100.
-49700
What is 0.001916 rounded to 4 decimal places?
0.0019
What is -2956.3 rounded to the nearest ten?
-2960
What is -153900000 rounded to the nearest one million?
-154000000
Round -31.418 to the nearest ten.
-30
What is -3.671 rounded to the nearest integer?
-4
What is -0.00021746 rounded to six dps?
-0.000217
Round -3.075 to 1 dp.
-3.1
Round 1984000 to the nearest 100000.
2000000
What is -0.000904 rounded to 3 decimal places?
-0.001
What is -288430000 rounded to the nearest 1000000?
-288000000
Round -107900 to the nearest ten thousand.
-110000
Round -0.499 to 2 decimal places.
-0.5
Round 0.000028742 to 7 decimal places.
0.0000287
Round 0.08754 to 3 dps.
0.088
What is -0.0000006805 rounded to 7 decimal places?
-0.0000007
What is -361 rounded to the nearest 100?
-400
Round -7.69 to the nearest 10.
-10
What is 0.007208 rounded to four decimal places?
0.0072
Round -53400 to the nearest 10000.
-50000
What is -0.000274 rounded to 3 decimal places?
0
Round -546.7 to the nearest 10.
-550
Round 213.7 to the nearest 100.
200
What is -30682.6 rounded to the nearest 1000?
-31000
What is -1343.1 rounded to the nearest 100?
-1300
Round 0.000000224 to 7 dps.
0.0000002
What is -0.057778 rounded to 2 dps?
-0.06
What is 11640000 rounded to the nearest 100000?
11600000
What is 4.1702 rounded to zero decimal places?
4
What is -1000000 rounded to the nearest ten thousand?
-1000000
What is 0.000011566 rounded to 7 decimal places?
0.0000116
Round 487 | {
"pile_set_name": "DM Mathematics"
} |
?
630
Convert -1010110100111 (base 2) to base 12.
-325b
20022122 (base 3) to base 6
33155
-242 (base 12) to base 9
-415
Convert 11253 (base 9) to base 8.
16514
Convert 18681 (base 10) to base 8.
44371
What is -620 (base 16) in base 11?
-11a6
What is -15020 (base 7) in base 3?
-12122222
-23030 (base 4) to base 6
-3152
-241421 (base 5) to base 2
-10001100011010
32543 (base 6) to base 10
4527
What is 5514 (base 9) in base 13?
1b07
Convert -14424 (base 11) to base 14.
-7667
103510 (base 6) to base 7
34050
What is -ccc9 (base 13) in base 10?
-28557
Convert 2202 (base 3) to base 7.
134
What is -122857 (base 9) in base 12?
-37021
Convert -1012102 (base 3) to base 14.
-467
What is -3a903 (base 11) in base 14?
-17381
43225 (base 7) to base 9
15664
-204325 (base 6) to base 13
-76b5
55 (base 7) to base 14
2c
-12202012 (base 3) to base 8
-10136
What is 38 (base 10) in base 12?
32
-20100 (base 3) to base 13
-102
Convert -111410 (base 5) to base 14.
-1644
Convert -110000000000111 (base 2) to base 11.
-17519
Convert 111111000101 (base 2) to base 14.
1685
What is 354 (base 14) in base 15?
2e2
Convert -557 (base 10) to base 9.
-678
-28536 (base 10) to base 4
-12331320
Convert 3ab (base 16) to base 7.
2511
203400 (base 5) to base 15
1ed5
54c (base 16) to base 13
804
11b5 (base 15) to base 6
25242
-284 (base 9) to base 4
-3232
What is -14323 (base 5) in base 4?
-102331
What is 1551 (base 8) in base 9?
1170
What is -2668 (base 11) in base 16?
-d86
What is -12121002 (base 3) in base 14?
-16b5
Convert -140252 (base 6) to base 15.
-3d0e
40b (base 12) to base 15
292
What is 1401 (base 6) in base 3?
111101
Convert -1311042 (base 5) to base 11.
-183aa
What is -2607 (base 11) in base 9?
-4582
Convert -17130 (base 8) to base 14.
-2b8c
Convert -a4 (base 13) to base 10.
-134
Convert 46c5 (base 13) to base 3.
111200000
-20772 (base 8) to base 14
-3254
What is 10101001110 (base 2) in base 11?
1025
38282 (base 9) to base 14
9555
-111303 (base 4) to base 5
-21040
What is 22012211 (base 3) in base 9?
8184
-3fd8 (base 16) to base 4
-3333120
Convert -90c (base 16) to base 8.
-4414
Convert -526 (base 12) to base 8.
-1356
-562 (base 11) to base 12
-481
Convert -42130 (base 5) to base 2.
-101011100110
Convert 11541 (base 7) to base 2.
101111001010
Convert -1333131 (base 4) to base 2.
-1111111011101
-205 (base 8) to base 2
-10000101
Convert -a2b4 (base 12) to base 4.
-10110220
-9a3 (base 14) to base 15
-872
Convert -21151 (base 11) to base 13.
-11026
What is -53550 (base 8) in base 5?
-1204001
21370 (base 9) to base 16
374d
What is 1412 (base 6) in base 8?
560
What is -11220001 (base 3) in base 10?
-3565
-2001111012 (base 3) to base 14
-10a55
What is 474 (base 8) in base 2?
100111100
-217 (base 13) to base 5
-2413
49b (base 15) to base 16
416
What is -350 (base 11) in base 4?
-12202
Convert -2020 (base 12) to base 7.
-13101
10002200 (base 3) to base 8
4323
Convert -24736 (base 8) to base 6.
-121342
What is -1307 (base 8) in base 11?
-597
Convert a88 (base 12) to base 10.
1544
Convert -2011000 (base 3) to base 8.
-3036
-452551 (base 6) to base 12
-1a157
Convert 3042100 (base 5) to base 15.
eaa0
80b (base 12) to base 7
3251
What is 543a (base 13) in base 3?
121001201
-24140 (base 5) to base 15
-7ea
-335133 (base 6) to base 10
-28353
Convert 5848 (base 9) to base 2.
1000011110001
Convert -47d (base 16) to base 2.
-10001111101
What is 62 (base 11) in base 5?
233
-153 (base 14) to base 6
-1125
What is -538 (base 14) in base 5?
-13110
-552 (base 14) to base 3
-1102222
Convert -404404 (base 6) to base 2.
-111110101110100
Convert -44425 (base 6) to base 11.
-4735
What is -1112540 (base 6) in base 13?
-1c869
Convert 30020 (base 7) to base 15.
2212
-203 (base 9) to base 6
-433
-8265 (base 13) to base 11
-12581
What is -80 (base 15) in base 8?
-170
Convert 100100100011100 (base 2) to base 12.
a9b8
Convert -10274 (base 8) to base 12.
-2590
What is -12c (base 16) in base 5?
-2200
-52c2 (base 15) to base 9
-26012
Convert -143 (base 9) to base 16.
-78
Convert -97db (base 15) to base 9.
-48088
3298 (base 12) to base 3
21122222
What is 2010 (base 5) in base 11?
212
1a4 (base 16) to base 5
3140
What is -1081 (base 9) in base 6?
-3414
477 (base 15) to base 4
33310
Convert 3303333 (base 4) to base 5.
444430
Convert -100001000001111 (base 2) to base 11.
-11784
Convert -20563 (base 7) to base 10.
-5092
Convert -158a8 (base 14) to base 12.
-271b8
What is -41020 (base 5) in base 13?
-1279
What is -68404 (base 9) in base 2?
-1011000111010110
What is -11344 (base 5) in base 7?
-2322
What is 22101 (base 5) in base 9?
2075
880 (base 14) to base 2
11010010000
4376 (base 11) to base 13
281b
Convert 20230 (base 5) to base 14.
69d
3320 (base 5) to base 14
24c
What is 214236 (base 7) in base 11?
26202
Convert -9d6 (base 14) to base 7.
-5456
What is -13431 (base 5) in base 16?
-45c
What is -2632 (base 8) in base 6?
-10350
1be5 (base 16) to base 2
1101111100101
What is 3956 (base 11) in base 16?
1417
Convert -10000011101 (base 2) to base 16.
-41d
8674 (base 11) to base 2
10110010111111
What is -111021021 (base 3) in base 14?
-374d
What is -12465 (base 8) in base 7?
-21554
What is -143303 (base 6) in base 8?
-32627
Convert 631 (base 15) to base 7.
4033
-10016 (base 7) to base 3
-10022102
What is 301022 (base 4) in base 6?
22322
What is 11305 (base 14) in base 4?
22030121
-3300 (base 16) to base 15
-3d06
What is 5245 (base 7) in base 4?
130312
-215 (base 8) to base 4
-2031
What is -23 (base 15) in base 7?
-45
What is 2520 (base 7) in base 11?
78a
2212010 (base 3) to base 2
100000100010
920 (base 11) to base 2
10001010111
Convert 5a5 (base 13) to base 9.
1308
Convert 4024 (base 7) to base 16.
56e
What is -637 (base 10) in base 16?
-27d
What is -23043 (base 5) in base 2?
-11001110000
a6c9 (base 13) to base 4
11221231
Convert -211 (base 3) to base 11.
-20
What is -274 (base 8) in base 9?
-228
1307 (base 14) to base 6
23243
Convert -12663 (base 7) to base 3.
-11200220
Convert 325 (base 9) to base 12.
1a2
Convert -43 (base 10) to base 2.
-101011
Convert -1362 (base 9) to base 13.
-611
-21000 (base 5) to base 7
-4003
What is 30305 (base 6) in base 13?
1a8a
What is -4153 (base 6) in base 16?
-3a5
What is 9345 (base 10) in base 2?
10010010000001
Convert -2b6d (base 14) to base 7.
-31366
1279 (base 11) to base 3
2021110
What is -7642 (base 11) in base 5?
-310324
-1d5 (base 15) to base 14
-225
What is -1252 (base 9) in base 4?
-32222
What is -f8c (base 16) in base 3?
-12110102
4456 (base 7) to base 14
82d
-13f (base 16) to base 5
-2234
-a61 (base 11) to base 3
-1202022
-33333 (base 6) to base 3
-20101210
806 (base 12) to base 6
5210
Convert 1743 (base 11) to base 6.
14145
-27 (base 15) to base 10
-37
-11566 (base 7) to base 5
-44122
What is -1472 (base 15) in base 16?
-111e
What is 12023 (base 5) in base 7?
2406
-603 (base 14) to base 15
-539
-13210221 (base 4) to base 12
-15b49
Convert 27971 (base 10) to base 7.
144356
-109c (base 13) to base 11
-1825
What is -1240211 (base 5) in base 10?
-24431
What is -4341 (base 7) in base 12?
-a90
Convert 7ca (base 14) to base 7.
4343
What is -1568 (base 9) in base 8?
-2254
What is -102403 (base 6) in base 2?
-10000010100011
Convert 1468 (base 12) to base 2.
100101010000
What is 1134201 (base 5) in base 2?
101001010111000
-2561 (base 12) to base 5
-113444
What is 1920 (base 15) in base 14?
1d9c
What is -1eac (base 16) in base 12?
-4664
-3140 (base 5) to base 12
-2b0
-3629 (base 12) to base 11
-4629
What is -467 (base 8) in base 13?
-1ac
What is 2004 (base 9) in base 4?
112312
-859 (base 12) to base 5
-14341
-446 (base 10) to base 9
-545
Convert 235 (base 14) to base 9.
537
What is 11011110001 (base 2) in base 13?
a69
What is 232 (base 5) in base 9?
74
What is 4601 (base 8) in base 15?
ac3
Convert 6098 (base 13) to base 2.
11001111111011
Convert 1022 (base 8) to base 16.
212
Convert -2241 (base 5) to base 8.
-501
-377c (base 16) to base 6
-145432
What is -2740b (base 12) in base 15?
-110a5
4030 (base 7) to base 6
10241
What is 563 (base 14) in base 9?
1415
-1010101101 (base 2) to base 6
-3101
Convert 32023 (base 4) to base 9.
1217
153 (base 13) to base 12
179
Convert -1087 (base 12) to base 9.
-2454
What is 2274 (base 10) in base 3?
10010020
What is 23420 (base 5) in base 11?
1338
What i | {
"pile_set_name": "DM Mathematics"
} |
iz when four letters picked without replacement from tttitiiztziitiit?
7/520
Three letters picked without replacement from qqiiviqkviilikivkvi. What is prob of sequence klv?
2/969
Calculate prob of sequence dbb when three letters picked without replacement from {b: 11, d: 2}.
5/39
What is prob of sequence qs when two letters picked without replacement from rccrsqssre?
1/30
Two letters picked without replacement from uuuuuuuuuuueuuuuuu. What is prob of sequence uu?
8/9
Calculate prob of sequence pvp when three letters picked without replacement from {r: 3, z: 1, c: 1, p: 6, n: 3, v: 1}.
1/91
Four letters picked without replacement from oooooxxxxxox. What is prob of sequence xoxx?
2/33
What is prob of sequence bi when two letters picked without replacement from {i: 2, b: 1, a: 1, f: 2, m: 1, x: 1}?
1/28
What is prob of sequence nm when two letters picked without replacement from nnznnmqzznzqqznn?
7/240
Three letters picked without replacement from nnneennnnnn. Give prob of sequence een.
1/55
Calculate prob of sequence mm when two letters picked without replacement from {m: 5, p: 2}.
10/21
Calculate prob of sequence een when three letters picked without replacement from {e: 2, n: 1}.
1/3
Calculate prob of sequence yvyv when four letters picked without replacement from uvvyvyyuv.
1/42
Three letters picked without replacement from {r: 3, d: 5}. What is prob of sequence rdr?
5/56
Calculate prob of sequence plpl when four letters picked without replacement from plpnlllpllllp.
28/715
Two letters picked without replacement from ttlltttltl. Give prob of sequence lt.
4/15
Three letters picked without replacement from srpli. Give prob of sequence rpl.
1/60
What is prob of sequence wcc when three letters picked without replacement from cllzqblcczw?
1/165
Three letters picked without replacement from ywggwwyyyyyy. Give prob of sequence ygg.
7/660
Two letters picked without replacement from {p: 15, a: 5}. What is prob of sequence ap?
15/76
Calculate prob of sequence cgva when four letters picked without replacement from tacvatccvcccccagcvc.
5/5168
What is prob of sequence dddb when four letters picked without replacement from dbdbddd?
1/7
What is prob of sequence aooo when four letters picked without replacement from oaorraoa?
3/280
What is prob of sequence jj when two letters picked without replacement from bbjsjjjr?
3/14
What is prob of sequence cnhy when four letters picked without replacement from {h: 5, x: 2, c: 2, y: 1, n: 7, e: 3}?
7/11628
Two letters picked without replacement from lllllbllllllllllllbl. Give prob of sequence ll.
153/190
Calculate prob of sequence iaa when three letters picked without replacement from ijiajiaa.
3/56
Four letters picked without replacement from zlvmm. What is prob of sequence llvz?
0
Two letters picked without replacement from {s: 2, p: 1, a: 1, n: 2}. What is prob of sequence ns?
2/15
Calculate prob of sequence bmmb when four letters picked without replacement from mbmmmbbbmmmmmmmmmmm.
35/1292
Four letters picked without replacement from {l: 3, s: 2, e: 1, g: 1}. Give prob of sequence essg.
1/420
Four letters picked without replacement from {e: 5, r: 4, b: 2, k: 2}. Give prob of sequence rber.
1/143
Calculate prob of sequence oddd when four letters picked without replacement from {o: 3, e: 1, d: 6, b: 1, c: 3, l: 3}.
3/476
Two letters picked without replacement from {q: 5, f: 3}. What is prob of sequence qq?
5/14
What is prob of sequence ggg when three letters picked without replacement from dgdgdggddddddd?
1/91
What is prob of sequence foo when three letters picked without replacement from ooffi?
1/15
Calculate prob of sequence sg when two letters picked without replacement from sssiississsisrgsr.
5/136
Four letters picked without replacement from {n: 1, d: 5, t: 5}. What is prob of sequence tdnd?
5/396
Three letters picked without replacement from vggnc. Give prob of sequence cgg.
1/30
What is prob of sequence wll when three letters picked without replacement from lyllwlwllllllllll?
91/1020
Two letters picked without replacement from jkksuoufsjfjjo. Give prob of sequence oo.
1/91
What is prob of sequence wiwl when four letters picked without replacement from lmiww?
1/60
What is prob of sequence ccvc when four letters picked without replacement from {v: 6, q: 1, c: 4}?
1/55
What is prob of sequence rd when two letters picked without replacement from {m: 6, p: 1, b: 2, d: 2, r: 1}?
1/66
Two letters picked without replacement from iljilbljjljjiyjill. What is prob of sequence iy?
2/153
Two letters picked without replacement from yuyyyyuyyyuuuyyyyuu. Give prob of sequence uu.
7/57
Three letters picked without replacement from bbbbbxbbbbbbxbbbbb. What is prob of sequence xbx?
1/153
Two letters picked without replacement from zzqgzzzzzzzzqrrpxqz. Give prob of sequence zx.
11/342
Two letters picked without replacement from rhrhl. What is prob of sequence rl?
1/10
Calculate prob of sequence gsc when three letters picked without replacement from zcxsg.
1/60
Two letters picked without replacement from httjjjwjtt. Give prob of sequence hj.
2/45
What is prob of sequence ssj when three letters picked without replacement from {s: 4, q: 1, v: 3, j: 2}?
1/30
What is prob of sequence cdg when three letters picked without replacement from {d: 1, n: 6, c: 3, g: 2}?
1/220
Three letters picked without replacement from wzwpiwwzpwwpp. Give prob of sequence wpz.
4/143
Calculate prob of sequence xo when two letters picked without replacement from hvvvvoxhvovhhvuovvo.
2/171
What is prob of sequence bo when two letters picked without replacement from {d: 2, o: 1, n: 1, b: 2, w: 1, u: 1}?
1/28
Calculate prob of sequence dww when three letters picked without replacement from vjdvgvtwwvwd.
1/110
Three letters picked without replacement from {d: 3, m: 1, j: 2, i: 1}. Give prob of sequence jmi.
1/105
Calculate prob of sequence cnc when three letters picked without replacement from innncncncncccnnnnn.
55/816
Four letters picked without replacement from {g: 3, a: 1, r: 4, f: 2, h: 1, n: 4}. What is prob of sequence nnan?
1/1365
Four letters picked without replacement from deeeeeeeeeeedeeeeee. Give prob of sequence dede.
1/171
Four letters picked without replacement from phppphppphh. Give prob of sequence phhh.
7/330
Calculate prob of sequence rrs when three letters picked without replacement from {v: 1, l: 4, r: 10, s: 2}.
3/68
Four letters picked without replacement from vvqqvvvvqv. What is prob of sequence qqvq?
1/120
Calculate prob of sequence pfi when three letters picked without replacement from {i: 1, u: 2, p: 3, f: 1}.
1/70
Four letters picked without replacement from {b: 3, o: 2}. Give prob of sequence obbb.
1/10
Three letters picked without replacement from rrirmirrai. What is prob of sequence iar?
1/48
Calculate prob of sequence mnn when three letters picked without replacement from xxzmxmjcxxmznnn.
3/455
Three letters picked without replacement from hhhhhhhhihhhhhihhhh. What is prob of sequence hhi?
16/171
Four letters picked without replacement from {g: 5, r: 11}. Give prob of sequence grgr.
55/1092
Calculate prob of sequence vvvo when four letters picked without replacement from ovovooovvooovoovovo.
35/1292
Four letters picked without replacement from jjjjojjjjjjjooj. What is prob of sequence jooj?
11/455
Three letters picked without replacement from dididdiidd. Give prob of sequence dii.
1/10
Four letters picked without replacement from {u: 1, t: 1, g: 2, d: 1}. Give prob of sequence utdg.
1/60
What is prob of sequence wj when two letters picked without replacement from jwwwjwjjww?
4/15
Calculate prob of sequence qn when two letters picked without replacement from {q: 2, n: 1, w: 5, z: 5, d: 3}.
1/120
Two letters picked without replacement from {g: 1, z: 1, q: 2}. Give prob of sequence gq.
1/6
Calculate prob of sequence rrrr when four letters picked without replacement from {r: 7, b: 6}.
7/143
What is prob of sequence wwzi when four letters picked without replacement from wyzsgiwz?
1/420
What is prob of sequence gqz when three letters picked without replacement from zzzgzzzixggqqxxxzq?
7/544
What is prob of sequence gggg when four letters picked without replacement from ghgghhghhghhghgh?
1/52
Calculate prob of sequence lchs when fo | {
"pile_set_name": "DM Mathematics"
} |
4 + 4) to the form z + y*n and give y.
2
Rearrange -2 + 8 - 48*j**2 - 6 to q*j + k + b*j**2 and give b.
-48
Rearrange -124*i + 245*i - 122*i + 19 to the form x*i + v and give x.
-1
Express (0 + 3 - 1)*(-3 - 8*u + 3)*(u**2 + 4*u**2 - 2*u**2) as g*u**2 + h*u**3 + q + t*u and give h.
-48
Rearrange (0 - 2 + 3)*((-3 + 2*n + 3)*(-29*n + 5*n - 13*n) + 3*n - 3*n + 2*n**2) to the form p*n + f*n**2 + c and give f.
-72
Rearrange -66*j + 32*j - 62*j to the form g*j + u and give g.
-96
Rearrange 2*o**3 - 642*o**2 - 7 + 642*o**2 to a*o + q*o**2 + b*o**3 + u and give b.
2
Rearrange 2*v**4 - 25*v**2 - 2*v + 18 - 18 to y + i*v + d*v**3 + b*v**2 + s*v**4 and give s.
2
Express -1 + 4*c**3 + 1 + 4 as q*c + r*c**3 + a + i*c**2 and give r.
4
Rearrange -26*u**2 + 13*u**2 + 11*u**2 + 4*u to the form y*u**2 + a*u + f and give y.
-2
Rearrange (1 - t**2 - 1 - 2)*(33*t + 102*t - 38*t) to c + i*t**3 + x*t + b*t**2 and give i.
-97
Rearrange (5*m - 4*m + m)*(-1 - 2 + 4) + 2*m - 3*m + 9*m to the form q*m + v and give q.
10
Express (5 - 14 - u + 0)*((-3*u**2 + 6*u**2 - u**2)*(0*u - 6*u + 0*u) + 0*u**3 + u**3 + 0*u**3) in the form x + w*u**3 + a*u**2 + m*u + n*u**4 and give m.
0
Rearrange m + 3*m - 4 - 5*m - m**2 + 20 to the form l*m**2 + b*m + n and give l.
-1
Rearrange (8 - 16 - 11)*(0*g**3 - 5*g**3 + 4*g**3) + (2*g + 2*g - 2*g)*(-g**2 - g + g) to u*g**3 + i + m*g + s*g**2 and give u.
17
Express 4*n + 24*n + 68*n + (0 - 5 + 3)*(2 + n - 2) + 6*n - 3*n - 4*n - 2*n + 0*n + 0*n as l + d*n and give l.
0
Express 5 + 2*r + 1 - 2 - r - r - r + (0*r + r + r)*(-3 + 2 - 1) as b*r + j and give b.
-5
Express (s**2 - 3*s**2 + 3*s**2)*(0*s - s + 4 - 2) as t + k*s**2 + o*s + b*s**3 and give b.
-1
Express (-b + b + 4*b)*(4 - 2 - 1)*(3 - 2*b - 3) as w*b + i*b**2 + m and give w.
0
Rearrange -36*r**3 + 5*r - 7*r**4 + 38*r**3 - r**2 - 4*r - 2*r to the form v + h*r**4 + z*r + x*r**2 + f*r**3 and give f.
2
Express -3*v**4 - 2 + 2*v**2 - v**3 + v**4 + 5 - 3*v**2 as r*v**3 + z + j*v**4 + f*v**2 + p*v and give p.
0
Express -2*c**3 - 8*c + 0*c**3 - 2*c + 2*c**2 in the form j + d*c**3 + h*c + a*c**2 and give d.
-2
Rearrange -2*t**2 + 9 - 9 to a*t**2 + f + c*t and give a.
-2
Express 17 - 36 - c + 17 as s*c + b and give b.
-2
Express (0 + 0 - d)*(-129 - 127 - 24*d + 251) in the form x*d + a + p*d**2 and give x.
5
Rearrange -17*q + 4 + 0 - 6 - 3 to the form k*q + m and give k.
-17
Express d - 3*d**2 + 3*d**2 - 4*d**2 as m*d + r*d**2 + s and give r.
-4
Express -2*z**4 - 113*z - 5*z**2 + 2*z**3 + 113*z as i*z**2 + p*z + w + m*z**3 + g*z**4 and give i.
-5
Express (-15*c**2 + 6 - 6)*(2*c - 2*c**2 + 0*c + 0*c) in the form u*c**4 + r*c + h + z*c**3 + v*c**2 and give u.
30
Rearrange 7 - 68*n**2 + 68*n**2 + 4*n**3 - 5 to the form t*n**3 + k + s*n**2 + p*n and give t.
4
Express 94*k - 21*k - 4*k in the form s*k + d and give s.
69
Rearrange (0 - 3 + 2)*(-2*l + 37 - 37) to k + w*l and give w.
2
Express -1 + 5 + 2*w**3 + 4 - 4 as c + n*w**2 + r*w + y*w**3 and give c.
4
Rearrange (-2 + 3 + 0)*(12*s + 3*s + 37*s + (4 - 4 - 1)*(0*s + 0*s - 2*s) + 0 + 0 - s - 2 + 2 - 2*s) to g*s + u and give g.
51
Express 1 + 1 - d - 2 in the form n + l*d and give l.
-1
Express (-29*b + 29*b + 14*b**2)*(-3 + 5 - 1)*(b - 1 + 1)*(-b + 3*b - b) in the form k + q*b + m*b**4 + o*b**3 + g*b**2 and give m.
14
Rearrange (-4 + 1 + 2)*(-1 - 2 - 1)*(3*b - 3*b - b) to the form y + u*b and give u.
-4
Rearrange 3*g**2 - 5 + 2*g + 3*g**2 + 3 to z*g**2 + v*g + l and give v.
2
Express (-2*u**2 + 2*u**2 - 2*u**2 + (u - 2*u + 0*u)*(0*u + 0*u + 2*u))*(8 - 9 - 5 + (1 + 4 - 3)*(-3 - 1 + 2)) in the form d*u + h*u**2 + w and give w.
0
Express (20 - 8 + 91)*(-1 + 1 - 1)*(2 + r**4 - 2 + (r**3 + 4*r**3 - 6*r**3)*(5 - 5 + 2*r)) as k*r**3 + p*r**4 + y*r**2 + d*r + x and give p.
103
Rearrange (u - 2*u - u)*(9 + u - 9) + 1 + u**2 - 1 to the form v + m*u + p*u**2 and give m.
0
Rearrange -d**2 - 2 + 4*d**2 + 2 + (4*d + 4*d - 4*d)*(-2*d - d + 2*d) to g + m*d**2 + u*d and give m.
-1
Rearrange (-2 + 2 - 2)*(-2 + 0 + 6)*(-9*d + 8*d + 4*d) - 4 - d + 4 to q + i*d and give i.
-25
Rearrange (i - 2*i + 3*i)*(-1 + 3 + 1)*(-2*i - i + i) to the form u*i + f + t*i**2 and give t.
-12
Express 2 - 2 - 46*f**2 + 20*f**2 in the form l*f**2 + r*f + p and give l.
-26
Rearrange ((-1 - 2 + 0)*(1 + 2 + 0) - 4 + 1 + 2 + 1 - 1 - 1)*(-j**4 - 2*j**4 + 2*j**4) to z*j**3 + x*j**2 + u*j + i*j**4 + n and give i.
11
Express (3*b - 5*b + 3*b)*(5*b**2 - 3*b**2 - 3*b**2) + 349*b**3 - 2318 + 2318 + 562*b**3 in the form y*b**3 + d*b + o + v*b**2 and give y.
910
Rearrange 0*s**3 + 3*s**3 - 10*s + 0*s + s**2 - s**3 to x + o*s**2 + m*s**3 + y*s and give m.
2
Express (-o**2 + 5*o - 5*o)*(-4*o + 0*o + 2*o)*(-3 + 4 + 0) as u*o + w*o**3 + m + v*o**2 and give w.
2
Rearrange -81*l + 351 - 351 to k*l + i and give k.
-81
Rearrange (2 + 0 + 0)*(3 - 3 + 2*a)*(-2*a**2 + 7*a**2 + 6*a**2) to y*a + q + u*a**2 + z*a**3 and give z.
44
Express -21 + 3*q**2 + q**2 - 3*q**2 in the form a*q**2 + g + r*q and give g.
-21
Express (i**2 - 5 + 5)*(0 + 0 + 2*i) + (-2*i**2 - i**2 + i**2)*(-1 + 1 + 3*i) as c*i**2 + s*i**3 + t + u*i and give s.
-4
Express 5*n**2 - 12*n + 2*n**4 + n**3 + 12*n - 4*n**2 as a*n + h + y*n**2 + f*n**4 + k*n**3 and give y.
1
Rearrange 2*o - 28*o**2 - 26*o**2 - 1 - o**3 + 55*o**2 - 18*o to the form v + p*o + c*o**2 + j*o**3 and give p.
-16
Express 1 + 1 + 2*u - 4 + (-3 + 1 + 5)*(2*u + 0 + 0) as z*u + p and give p.
-2
Express (2 + 0 - 3)*(-126*u + 33*u - 132*u) as p*u + o and give p.
225
Express (3*u + 0*u - 4*u)*(-10*u**3 + 12*u**3 + 11*u**3) + u**2 + 2*u**4 - u**2 as h*u + a*u**2 + j*u**3 + d + o*u**4 and give o.
-11
Rearrange (-z**3 - 3*z**3 + 5*z**3)*(-2 + 0 + 1)*(-10*z + 2*z - 3*z) to g + d*z**2 + w*z + v*z**4 + a*z**3 and give v.
11
Express 82 + 0*q**2 - q**2 - 83 in the form b*q + y*q**2 + w and give w.
-1
Rearrange i**2 - 12*i**3 + i + i**4 + 12*i**3 - 2 to the form w + v*i**2 + l*i + p*i**4 + r*i**3 and give l.
1
Express -127*j - 879 + 879 as u + m*j and give m.
-127
Express -42*o**4 + o**3 - 19*o**2 + 13*o**4 + 30*o**4 + 1 as x*o**3 + h + g*o + w*o**2 + b*o**4 and give w.
-19
Express (0 + 5 - 4)*(-72*w - 82*w + 100*w)*(3*w**3 + w**3 - 2*w**3) in the form p*w**2 + r*w**3 + v*w + j*w**4 + c and give j.
-108
Rearrange (4*z**3 - 6*z**3 - 4*z**3)*(-2*z + 2 - 2)*(-6 + 3 + 5) to g*z**3 + j*z**2 + u*z + x*z**4 + i and give x.
24
Rearrange 0*s + s**2 - s**3 + 9*s + 7*s - 19*s to the form d*s + l + r*s**2 + k*s**3 and give r.
1
Express z + 0*z - 5*z**2 - 2 + z - 2*z**3 + 0*z**3 as u*z**3 + v + l*z + s*z**2 and give l.
2
Express -5*o**4 + 31*o**3 + 16*o**4 - 29*o**3 + (2*o**4 - o**4 + 0*o**4)*(4 + 0 - 1) in the form l*o + x + w*o**3 + i*o**4 + d*o**2 and give w.
2
Rearrange -114*w - w**2 + 0*w**2 - 7 + w**3 + 114*w to the form n*w + r*w**2 + p*w**3 + v and give v.
-7
Express (-m + 3*m + 0*m)*(17*m + 3*m**2 - 9 - 31*m + 12*m) as s*m + w*m**3 + j + t*m**2 and give s.
-18
Express -9 - 1 + t**3 - 2*t + t**3 in the form r*t**3 + i*t**2 + p + z*t and give p.
-10
Rearrange (-1 + 2 - 2)*(-1 - 1 + 4)*(3*y - y + 9*y + (-7 + 4 + 1)*(0*y - 4*y + 2*y)) to r*y + k and give r.
-30
Express 102*g + 1 + 1 + 3*g**2 - 4*g**4 + g**3 - 103*g as t*g**3 + d*g + y*g**4 + f*g**2 + b and give b.
2
Express -8*v - v + 3*v + (-10 - 2 + 2)*(3*v - v + 0*v) as x + m*v and give x.
0
Express ((-5 - 1 + 3)*(-4 + 4 + 1) + 3 - 1 - 1)*(-2*m**2 + m**2 - 3*m**2) + m**2 + m**2 - 5*m**2 in the form c*m + o*m**2 + p and give o.
5
Rearrange -3 - 1 - 7*q**2 + 3 - 1 to the form r + m*q + n*q**2 and give m.
0
Express -4 + 0 + 4*w**4 + 2*w + 68*w**2 - 67*w**2 in the form m*w**2 + t + j*w + g*w**3 + i*w**4 and give i.
4
Rearrange (-11*t + 11*t - 9*t + (-t + 4 - 4)*(-4 + 2 + 3))*(-t**2 - t**2 + 3*t**2) to a + w*t + g*t**3 + n*t**2 and give n.
0
Rearrange -3172*d - 3*d**3 + 3175*d + 4 + d**2 + 5*d**3 to r*d**2 + m + w*d**3 + s*d and give m.
4
Express -34*m - 13*m + 65*m as p*m + y and give p.
18
Express ((5*a - 2*a - a)*(a**2 - 2*a**2 - a**2) - 4*a**3 - 3*a**3 + a**3)*(-1 + 4 - 2) in the form l*a + w + z*a**3 + d*a**2 and give l.
0
Rearrange 10*i**2 + 8*i**2 + 6*i**2 - 2 + 9*i**3 - 25*i**2 to the form t*i**2 + b*i**3 + j + c*i and give t.
-1
Express (-4 - 1 + 3)*(-2 + 2 + 2*g)*(4 - 6 + 3)*(-14 - 11 + 24) in the form j + u*g and give u.
4
Rearrange (2 - 1 + 1)* | {
"pile_set_name": "DM Mathematics"
} |
s positive.
d**(74/7)
Simplify (((n/n**6*n)/n)/n)/n*n**4*((n/(n*n**(1/3)))/n)**8 assuming n is positive.
n**(-41/3)
Simplify a/(a/(a*a**9/a*a))*a*a*a**(-7)*(a**(-2/9))**(-1/33) assuming a is positive.
a**(1487/297)
Simplify (f**(-2/9)*f*f**5/f)/(f**(1/3))**(-4/7) assuming f is positive.
f**(313/63)
Simplify (s**(-4)*s*s**6*s)**(1/14) assuming s is positive.
s**(2/7)
Simplify (v**(1/5)*v)/v*v/v**(-3/16)*v assuming v is positive.
v**(191/80)
Simplify (f/(f*f*f*f**(-3/8)/f))**(-13/2) assuming f is positive.
f**(65/16)
Simplify ((y**1*y)**(-44))**(-7) assuming y is positive.
y**616
Simplify u**(1/9)/((u/(u*u/(u/(u**(-4)*u)*u*u)))/u*u) assuming u is positive.
u**(-44/9)
Simplify (q**(-1))**(-34)/((q**7/q)/q**(-2)) assuming q is positive.
q**26
Simplify (p**(-5))**0 assuming p is positive.
1
Simplify (i**(2/5)*i)**(-2/27) assuming i is positive.
i**(-14/135)
Simplify (x*x**(-2/3))/x**6*x**(1/4)/x**(-2) assuming x is positive.
x**(-41/12)
Simplify (l*l**(1/3))**37 assuming l is positive.
l**(148/3)
Simplify (z*z**(-6)*z**(-9))/(z*z**(-1/2))**(-50) assuming z is positive.
z**11
Simplify (r**(1/9))**(3/16) assuming r is positive.
r**(1/48)
Simplify ((z**(-3/8)*z)/z)**(6/11) assuming z is positive.
z**(-9/44)
Simplify ((q*q**(-2/5)*q)/q)/((q*q**(-2)/q)/q)*((q**(1/4)/q)/q*q*q)**(-23) assuming q is positive.
q**(-43/20)
Simplify ((b/(b/(b*b**(5/4))*b))/(b/b**5))**(-36) assuming b is positive.
b**(-189)
Simplify (k**(-7)/k*k**(2/11))/(k**(3/7)/((k/k**(1/8))/k)) assuming k is positive.
k**(-5157/616)
Simplify (a*a**26/a)/(a*a*a**5/a) assuming a is positive.
a**20
Simplify (z**(-2/5))**13/(z/(z**(-2/3)/z*z))**(-9) assuming z is positive.
z**(49/5)
Simplify v**(4/11)/((v**(4/9)/v)/v)*v**2/v**(-8) assuming v is positive.
v**(1180/99)
Simplify ((h/(h*h/(h**1*h))*h)**(-3/11))**(5/8) assuming h is positive.
h**(-15/44)
Simplify ((d/(d*d*(d*d**(-11))/d*d*d))/d**3)/(d**(1/3)/(d**(-10)/d)) assuming d is positive.
d**(-19/3)
Simplify (h**(1/5))**(2/17)*(h/h**(5/6))/(h/(h*h*h*h**(-6/7)*h)) assuming h is positive.
h**(8329/3570)
Simplify f**0/(f/(f**2*f))*(f/(f*f/f**1))**(2/29) assuming f is positive.
f**2
Simplify z**(-2/13)/(z/(z/(z/(z*z*z*z**(-2/5))*z)*z))*(z**(2/5)/z*z)**(6/13) assuming z is positive.
z**(106/65)
Simplify (d/d**(-1/7)*d**(-5/2)*d)**(-14) assuming d is positive.
d**5
Simplify (((p/p**(3/2))/p)/p)/p*(p**3/p)/p*p/(p*p*p/p**(1/3)*p)*p**1 assuming p is positive.
p**(-25/6)
Simplify ((d*d**7)/(d*(d*d**(2/3))/d))/((d**(3/4)*d)/d**(8/3)) assuming d is positive.
d**(29/4)
Simplify (g*g/g**1*g)**(-7/9)/(g**(1/16)*(g/g**(-7))/g) assuming g is positive.
g**(-1241/144)
Simplify (b*b**(2/39))**(2/57) assuming b is positive.
b**(82/2223)
Simplify (t**2)**(3/49)/(t**(-3)*t)**(-12/17) assuming t is positive.
t**(-1074/833)
Simplify n/(n/n**(5/4))*n/(n**6/n)*n*n**(2/25)/n**0 assuming n is positive.
n**(-167/100)
Simplify (w/w**(-2)*w*w**4)/(w**0)**(-1/13) assuming w is positive.
w**8
Simplify ((a**(-3/5)/a)/(a*a**(-14)))**16 assuming a is positive.
a**(912/5)
Simplify (g*g*g/(g/g**(-7))*g*g*g)/g*g/(g**(-7)*g)*g/(g*g*g*g*(g/g**(-2))/g*g*g*g*g*g*g)*g/((g/g**(-1/6))/g) assuming g is positive.
g**(-37/6)
Simplify ((w**(-2)/w)**(2/9))**(-48) assuming w is positive.
w**32
Simplify ((u*u/(u*u/(u*u**(-12)*u*u)))/(u*u**7/u))**8 assuming u is positive.
u**(-128)
Simplify z/z**(-13)*z**7 assuming z is positive.
z**21
Simplify ((l*l/(l/(l/l**(-13/3))))/l)/(l**(-1/4)/l) assuming l is positive.
l**(79/12)
Simplify ((c**(-1))**(-39))**1 assuming c is positive.
c**39
Simplify (n**0*n)**(17/5)*((n**(2/3)/n)/n)**(-2/91) assuming n is positive.
n**(4681/1365)
Simplify (m*m**(-4)*m)/m**(-1/16) assuming m is positive.
m**(-31/16)
Simplify z**(-20)/(z**(-3/16)*z) assuming z is positive.
z**(-333/16)
Simplify (l**(-5/4))**(-2/101) assuming l is positive.
l**(5/202)
Simplify v/(v/((v*v**9)/v))*v**(-1/10)*v assuming v is positive.
v**(99/10)
Simplify (c/c**(-2/7))**(-30)/((c*c*c**(3/4)*c)/(c*c*c*c**(-2/7))) assuming c is positive.
c**(-1109/28)
Simplify (k**(2/15)*k)/k**(-5/3)*k**(-1)/(k*k*k*k*k**5*k) assuming k is positive.
k**(-41/5)
Simplify (g**(-6)*g/g**(-1/9))/((g*g/g**(-6))/(g/(g/(g/(g/(g**(-3)/g)))*g))) assuming g is positive.
g**(-161/9)
Simplify ((i**(-2/23))**(-5/3))**(-2/17) assuming i is positive.
i**(-20/1173)
Simplify ((l*l**(-10))/l**(-1))**(-4/13) assuming l is positive.
l**(32/13)
Simplify (c/c**(3/16))/c**1 assuming c is positive.
c**(-3/16)
Simplify ((w/(w*w**(3/8)))/w)**40 assuming w is positive.
w**(-55)
Simplify (((((z*z**(3/5)/z)/z)/z)/z)/(z*z**(-4/11)))/((z/(z**(-1/6)*z))/z*z**(-2/5)) assuming z is positive.
z**(-119/66)
Simplify ((c**1)**(-5))**(-23) assuming c is positive.
c**115
Simplify (q*q/(q**0/q)*q)**(-8/5) assuming q is positive.
q**(-32/5)
Simplify ((a*a**(-1/6)*a)**(-1/2))**(-2/137) assuming a is positive.
a**(11/822)
Simplify (((j*j/(j/j**4)*j)/j)/((((j**11/j)/j)/j)/j))**(2/27) assuming j is positive.
j**(-4/27)
Simplify (h*h**8*h*h)**(-1/27) assuming h is positive.
h**(-11/27)
Simplify f/(f*f*f/f**(-6/11))*f*f**16/f assuming f is positive.
f**(148/11)
Simplify (n**(1/11))**(-1/22) assuming n is positive.
n**(-1/242)
Simplify (x**6*x/x**(-1/4))/(x*x*(x**0/x*x)/x*x)**(-1/54) assuming x is positive.
x**(787/108)
Simplify ((v/(v/(v**(1/11)*v)))/v**(2/7))**(-2/153) assuming v is positive.
v**(-124/11781)
Simplify (t/(t**(2/39)/t*t))/(t**(-12)*t) assuming t is positive.
t**(466/39)
Simplify ((z*(z*z*(z*z**6)/z)/z)/(z**4/z))**(-10/7) assuming z is positive.
z**(-50/7)
Simplify b**(-2/5)/(b*b**(-1)*b)*b*b/b**(-1/6)*b*b*b/(b**(3/2)/b*b) assuming b is positive.
b**(34/15)
Simplify (d**(-39)/d)/d**(-3/2) assuming d is positive.
d**(-77/2)
Simplify (y**(-2/7))**(-46)*y*y**(-3/2)*y*y**(1/4) assuming y is positive.
y**(389/28)
Simplify (i**1)**32/(i*i*i**(-2/7)*i*i)**3 assuming i is positive.
i**(146/7)
Simplify (m*m*m**(-6)*((m*m**(-4))/m*m)/m)/(m**1*m*m/m**6) assuming m is positive.
m**(-5)
Simplify (g**(-1/2)/g)**(1/20)/(g**(-1/2))**(1/2) assuming g is positive.
g**(7/40)
Simplify n*n**2*n*n*n/n**(-2/11)*n**(-1)*n/(n*n**1) assuming n is positive.
n**(46/11)
Simplify (k*k**(-3/2)/k*k)**(-43) assuming k is positive.
k**(43/2)
Simplify ((r/r**(1/4))/r**(-2/5))/((r/((r**(-2/23)/r*r)/r))/((r/r**(-4))/r)) assuming r is positive.
r**(1409/460)
Simplify (l*l/(l*l/(l*l**5*l))*l*l*l*l**1)/(l*l/l**(2/5)*l)**30 assuming l is positive.
l**(-67)
Simplify (t**(3/4)*t*t*t/t**2)**36 assuming t is positive.
t**63
Simplify (d/d**(-8))/d*d**1*(d**(-3)/d)/d*((d*(d**9/d)/d)/d)/d assuming d is positive.
d**10
Simplify (b/(b**(-4/7)/b)*b**(3/10)/b)**11 assuming b is positive.
b**(1441/70)
Simplify (l**(-1/3))**(1/34) assuming l is positive.
l**(-1/102)
Simplify n**(4/5)/(n/(((n*n/n**1)/n)/n)) assuming n is positive.
n**(-6/5)
Simplify (s**11)**(-17/4) assuming s is positive.
s**(-187/4)
Simplify ((((l*l/(l**(-7)*l))/l)/l)/l**(5/7))**31 assuming l is positive.
l**(1147/7)
Simplify (h**(-17))**(-5/6) assuming h is positive.
h**(85/6)
Simplify ((u*u**(1/12))/u**8)**(-40) assuming u is positive.
u**(830/3)
Simplify ((k*k/(k/k**(-1)))/k*k**(-2)/k)**(-6) assuming k is positive.
k**24
Simplify l*l**(-1)*l**4/l*l*(l**6/l)/(l**10/l*l) assuming l is positive.
1/l
Simplify k*k*k**(-1/6)*k*k**3*((k**2*k)/k)**(2/109) assuming k is positive.
k**(3839/654)
Simplify (g**(-1/3)*g*g*g)**(2/9)*g**6*g/(g/((g**0/g)/g)) assuming g is positive.
g**(124/27)
Simplify l*l**(-32)*l/((l*(l/(((l/(l/l**(5/8)))/l)/l))/l)/l) assuming l is positive.
l**(-251/8)
Simplify ((h*h*h**0)/((h/((h/(h**(1/6)/h))/h*h))/h))**(18/11) assuming h is positive.
h**(69/11)
Simplify (w/((w**(-6)/w)/w))**(-45) assuming w is positive.
w**(-405)
Simplify (k**(1/3)/k**(-2))**(4/5) assuming k is positive.
k**(28/15)
Simplify ((i*i**(-1/4)*i)**46)**(5/2) assuming i is positive.
i**(805/4)
Simplify (g/g**(-5)*g**(1/8))/(g**3*(g/g**(-2/3))/g*g) assuming g is positive.
g**(35/24)
Simplify (a**(2/39))**(-2/11) assuming a is positive.
a**(-4/429)
Simplify (f/f**(-1/18))/f**(-6) assuming f is positive.
f**(127/18)
Simplify (y/y**(1/4))/((y*y**(2/21))/y)*(y/(y/(y/(((y*y*y*y*y*y**(-1)*y)/y)/y*y*y)))*y)/y*y**(4/7) assuming y is positive.
y**(-233/84)
Simplify (n**(-3)*n)**1*(n**(-1/5))**(-36) assuming n is positive.
n**(26/5)
Simplify w**(2/19)/(w | {
"pile_set_name": "DM Mathematics"
} |
digit of l?
1
Suppose y + 4*y - 15 = 0. What is the units digit of y?
3
Let n(i) = i**3 + i**2 - i. Let x be n(3). Let m = x + -21. What is the units digit of m?
2
Suppose -281 = -3*k + 2*g, 99 = k - g - g. What is the units digit of k?
1
Suppose -4*f + 10 = 3*w - 50, -12 = -4*f. What is the units digit of w?
6
Suppose 0 = 4*a + 3*n - 5*n - 430, -n = -1. What is the units digit of a?
8
Suppose -4*l = k - 14, 0 = -k - 0 - 2. What is the units digit of l?
4
Suppose -5*a + 5 = 3*o, 0*o = 3*a - 3*o - 27. Suppose 19 = b + 2*z - 0*z, 0 = a*b + 2*z - 100. What is the units digit of b?
7
Suppose -5*g - 3*i = -16, -3*g + 16 = -0*g + 5*i. What is the tens digit of (12/(-9))/(g/(-18))?
1
Suppose -334 = -5*n + 476. What is the tens digit of n?
6
Let h be 2*1/(-2)*-5. Suppose -21 = -h*q + 2*q. What is the units digit of q?
7
What is the tens digit of (-1173)/(-4) + (-30)/(-320)*8?
9
Let l(a) be the second derivative of -1/12*a**4 + 2*a + 0 + 1/6*a**3 + 7/2*a**2. What is the units digit of l(0)?
7
Suppose 0 = 5*w - 2 - 8. Suppose 5 = b - w. Suppose 3*c = 2*s - 2*c + 18, 0 = s - 2*c + b. What is the units digit of s?
1
Let t(r) = r**3 - 6*r**2 - 7*r + 12. Let j be t(8). Let k = j - 59. What is the units digit of k?
5
Let i(d) = 21*d. What is the tens digit of i(1)?
2
Suppose -3*o = 2*o - 3*p - 419, 4*o - 346 = -3*p. Suppose 4*d - o = -d. What is the tens digit of d?
1
Let q be 0/2*(-2)/(-4). Let j = q + 4. Suppose -j*n = 2 - 30. What is the units digit of n?
7
Suppose -30 = -x + 32. What is the units digit of x?
2
Let h be 1/(-2)*-2*3. Suppose -6*b + 1 = -7*b. What is the units digit of h + 3 - b/1?
7
Let c(u) = -37*u**3 - u**2. Let b be c(-1). Let j = b - 63. What is the units digit of 6/9*(-3 - j)?
6
Suppose 0*b = -b - 2. Let y be (1 + 0)*(6 + b). Suppose y*k - 10 = 14. What is the units digit of k?
6
Suppose -5*h + 2*y = -0*h - 363, 8 = -2*y. What is the units digit of h?
1
Let g be -1 + (-3 + 1 - -8). Suppose r = -g*f + 19, -11 = -f - r - 4. Suppose 0 = f*j - 11 - 25. What is the units digit of j?
2
Let x(a) = -a - 5. Let m be x(-4). What is the tens digit of (2 + 20 - m)*1?
2
Let z(r) = -r**2 + 3*r + 8. Let b be z(7). Let o = b + 31. What is the units digit of o?
1
Let c(z) = z**2 + 2*z - 2. Let x(a) = -3*a**2 + 5*a**2 + a + 2*a**2 - 3*a**2. Let d(t) = -c(t) + 2*x(t). What is the units digit of d(0)?
2
Suppose -16 = 4*w, 2*t + t + 4*w = 158. What is the tens digit of t?
5
Let o(u) = u**2 + 11*u + 7. Let q be o(-8). Let n = -4 - q. What is the units digit of n?
3
Let s = 2 - -3. Suppose s*o - 2*o - 120 = 0. What is the tens digit of o?
4
Suppose 0*b - 5*b = 2*t - 197, 5*b + 4*t - 199 = 0. What is the units digit of b?
9
Let i(k) = 2*k**3 - k**2. Let z be i(3). What is the tens digit of 18/((z/6)/5)?
1
Suppose z + 0*z + 59 = -3*r, -3*z = 3*r + 57. Let v be (3/(-4))/(1/r). Suppose -4*l - l = -v. What is the units digit of l?
3
Let j(b) = b**2 - 2*b - 6. What is the units digit of j(4)?
2
Suppose -6*l + l + 45 = 0. What is the units digit of l?
9
Let i = -8 - -4. Let f = i + 6. Suppose 0*w = 2*a - 4*w + f, -5*w = -5. What is the units digit of a?
1
Suppose 3*c + 5*t = 128, -c + 6*c - t - 176 = 0. What is the units digit of c?
6
Let d = 3 - 1. Suppose 0*m + 4 = -d*m. What is the units digit of (m/(-4))/(6/12)?
1
Let r(o) = o**2 + 9*o + 4. Let a be r(-4). Let l = 33 + a. What is the tens digit of l?
1
Suppose 4*f = -117 + 453. What is the units digit of f?
4
Let r(o) = o**2 - 8*o + 10. Let m be r(7). Suppose -5*f = 5*d, 2*f + m*f = -4*d. Suppose i = t - 3*t + 16, -2*t + i + 20 = f. What is the units digit of t?
9
Let j(c) = -c - 5. What is the units digit of j(-13)?
8
Let r(q) = -q**2 - 5*q - 3. Let a be r(-3). What is the units digit of 36 + a + -2 + 3?
0
Let z = 8 - 4. Let x(m) = -2 - z*m**2 - m**2 - m**3 + 8*m - 3*m**2. What is the units digit of x(-9)?
7
Let i be 1/2 + (-1)/2. Suppose 0 = -2*y + 79 - 31. Suppose -4*u = -i*u - y. What is the units digit of u?
6
Let d(g) = -6*g + 1. Let l be d(-1). Let j = -7 - -4. Let p = l - j. What is the tens digit of p?
1
Let p(n) = n**2 + 4*n + 1. What is the units digit of p(3)?
2
Suppose 0 = -0*r - 5*r + 220. Suppose g = -3*g + r. What is the units digit of g?
1
Let z be (32/20)/((-2)/10). What is the units digit of (-268)/(-9) - z/36?
0
Suppose i + 2*v = 5, 2*v + v + 60 = 3*i. Suppose -2*q - 5 = -i. What is the units digit of q?
5
Let u(s) = 12*s - 2*s**2 - 14 + s**2 + 0*s**2 + 0*s**2. What is the units digit of u(10)?
6
What is the tens digit of 12 - 4/(-1 + 3)?
1
Suppose -a + 7 = 2*m, 5*m - a - 24 = 3*a. What is the units digit of 5/(-3 + m/1)?
5
Suppose -3*p + 3 + 3 = 0. Let n(a) = -a**3 + a**2 + 2*a + 1. What is the units digit of n(p)?
1
Let m(p) = p**2 + p - 1. Let d be m(-3). Suppose -4*g + 3*w = 32, -g - d*w - 7 = 1. What is the units digit of (g/(-12))/((-4)/(-18))?
3
Suppose 4*u - 112 + 40 = 0. What is the units digit of u?
8
Suppose -4*q + k + 177 = -2*k, 0 = -5*k + 25. Suppose -3*x - 3*b + q = 0, 2*b + b = 2*x - 12. What is the units digit of x?
2
What is the units digit of (-5 + 7)/(2/9)?
9
Let c = -13 + -2. Let i = c - -31. What is the tens digit of i?
1
Suppose -4*b + 83 = 11. Suppose -4*u + b = -u. What is the units digit of u?
6
Let t be (2/7)/(4/28). Suppose -t*b - 2*b = -72. Let y = 30 - b. What is the tens digit of y?
1
Let h(q) = q**2 - 14*q + 13. Suppose 0 = 4*a - 0*a - 56. What is the units digit of h(a)?
3
Suppose 5*r + 15 = 40. Suppose 5*c = -r*t + 40, c + t = -t + 13. Suppose -c*q + 32 = 4*j, -5*q + 16 + 19 = 3*j. What is the units digit of q?
4
Let a(t) = t**2 - 5*t + 3. Let g be a(3). Let h be -4 - (-7)/((-7)/(-10)). What is the units digit of ((-1)/g)/(1/h)?
2
Let q(b) = 2*b**3 + 4*b**2 + b - 2. Let m be q(-2). What is the tens digit of 2/m - 75/(-6)?
1
Let l = 1 + 2. Suppose -l*g = 2*g. What is the units digit of (22/4 + g)*2?
1
What is the hundreds digit of (0 + 357)*(32/6 - 5)?
1
Let b = 0 - 2. Let w(t) = t - 3. Let n(f) = -1. Let q(h) = -6*n(h) + w(h). What is the units digit of q(b)?
1
Let f(i) = -i**3 + 8*i**2 - 6*i + 6. What is the units digit of f(7)?
3
Let q be (22/3)/((-4)/(-6)). What is the tens digit of q/(-2)*(1 + -7)?
3
Let h be 2/2 - (-1)/(-1). What is the units digit of (-3)/6*h + 8?
8
Let k(w) = -w. Let j = -7 + 4. Let u be k(j). What is the units digit of 1/u - (-10)/6?
2
Let q = 81 + -40. What is the tens digit of q?
4
Let j(v) = v**2 - 4*v - 3. Suppose -2*b = -7*b + 20. Suppose -b*t + 16 = 0, 5*h - 34 = -0*t - t. What is the units digit of j(h)?
9
Let c(h) = h + 8. What is the units digit of c(0)?
8
Let p(k) = 6*k - 2. Suppose -z + 54 = 5*z. What is the units digit of p(z)?
2
Suppose -45 = -l + 4*z, -2*l - 100 = -6*l - 4*z. Let f = l + -53. Let s = -14 - f. What is the units digit of s?
0
Let w(f) = -27*f - 37. What is the tens digit of w(-5)?
9
Let v = 8 + -6. Let s(t) be the first derivative of t**4/2 - t**3 + t**2 - 8. What is the units digit of s(v)?
8
Let a = 4 + -13. Let q = a + 12. What is the units digit of q?
3
Let c(f) = f**3 - 2*f**2 + f - 1. Let m be c(3). Let v = m + -7. Suppose v = s - 2*k, -2*k - k + 59 = 5*s. What is the units digit of s?
0
Let f be 2/(-7) - 72/(-7). Suppose 6*l = l - f. What is the units digit of (-1)/(-1 - 1/l)?
2
Suppose -2*u + 3*i + 294 = 67, 5*i - 388 = -3*u. What is the units digit of u?
1
Suppose 5*c - 2*d = 79, 8 = -5*d + 23. Suppose -2*h + 5 = -c. Let o = -5 + h. What is the units digit of o?
6
Suppose 3*d - 151 = 3*v - 520, 2*d + 484 = 4*v. What is the tens digit of v?
1
What is the units digit of (-14728)/(-91) - (-6)/39?
2
Let q = 2 + -1. Let r = q + 3. Suppose -4*y = r*b, b + 36 = 5*y - 3*b. What is the units digit of y?
4
Suppose 3*z - 243 = -0*z. What is the units digit of z?
1
Suppose 0 = -3*l - 3*y, -5*l - 3*y + y = -15. Let u be ((-4)/l)/(10/(-25)). Let o = 11 - u. What is the units digit of o?
9
Suppose 3*y + 81 = 5*h, -y = -2*y + 3. Suppose 2*v = 12 + h. What is the tens digit of v?
1
Let c = -39 - -74. What is the units digit of c?
5
Suppose 7*b = 2*b - 25. Let m(v) = 2*v**2 + 6*v - 6. What is the tens digit of m(b)?
1
Let n = 356 - 127. What is the tens digit of n?
2
Suppose 2*h + 8 = 6*h. Suppose -3 + 5 = -h*u. What is the units digit of 4 + u*3/(-1)?
7
Let l = -32 - -57. Suppose -5*x + 2*o + 3*o = -l, 4*o | {
"pile_set_name": "DM Mathematics"
} |
letters picked without replacement from {f: 2, n: 1, z: 3, r: 4, j: 4}.
4/1001
Two letters picked without replacement from {z: 8, j: 1, q: 4}. What is prob of sequence jq?
1/39
Calculate prob of sequence aax when three letters picked without replacement from xxxaxxxxxxxax.
1/78
Two letters picked without replacement from mvmmmmvm. Give prob of sequence vm.
3/14
Four letters picked without replacement from {w: 7, n: 5, j: 4, m: 3}. Give prob of sequence jnwm.
35/7752
Calculate prob of sequence xxs when three letters picked without replacement from ssssssxxssx.
8/165
Two letters picked without replacement from {g: 2, q: 1, s: 1, d: 2}. Give prob of sequence dd.
1/15
What is prob of sequence squ when three letters picked without replacement from uqssqssustqsduqt?
3/140
Calculate prob of sequence rf when two letters picked without replacement from {r: 1, v: 1, f: 1}.
1/6
Three letters picked without replacement from {z: 2, b: 4, l: 2}. Give prob of sequence llb.
1/42
Two letters picked without replacement from {q: 2, r: 2}. What is prob of sequence rq?
1/3
What is prob of sequence wsww when four letters picked without replacement from sssuwwsscwswsc?
1/143
Three letters picked without replacement from {f: 1, g: 4, z: 1, o: 2}. Give prob of sequence fgz.
1/84
Three letters picked without replacement from {z: 3, q: 1, x: 1, v: 10}. Give prob of sequence qvz.
1/91
Calculate prob of sequence bn when two letters picked without replacement from ibkddnf.
1/42
Calculate prob of sequence if when two letters picked without replacement from pllvlfi.
1/42
What is prob of sequence jxj when three letters picked without replacement from jjxjjjjxxjj?
28/165
Two letters picked without replacement from {d: 8, k: 6, e: 1, w: 3, o: 1}. What is prob of sequence wo?
1/114
Four letters picked without replacement from {k: 15, f: 3}. Give prob of sequence fffk.
1/816
What is prob of sequence zwz when three letters picked without replacement from ojzwwowwwwwwwjzz?
9/560
What is prob of sequence kvvv when four letters picked without replacement from kkvvkkkkvvvk?
7/198
What is prob of sequence fa when two letters picked without replacement from {o: 2, f: 5, y: 5, a: 7}?
35/342
Four letters picked without replacement from {a: 1, c: 1, q: 1, s: 6, i: 5, t: 2}. What is prob of sequence sqas?
1/1456
What is prob of sequence bj when two letters picked without replacement from {i: 2, b: 1, v: 2, d: 2, j: 10, z: 2}?
5/171
What is prob of sequence bumk when four letters picked without replacement from fmbbkkuffffbbkfkfm?
1/2295
What is prob of sequence nn when two letters picked without replacement from zzannnnnnnzuuu?
3/13
Calculate prob of sequence ib when two letters picked without replacement from isbiboboooko.
1/22
Two letters picked without replacement from {g: 4, r: 15}. Give prob of sequence gr.
10/57
What is prob of sequence fnn when three letters picked without replacement from bbnnbbbbbf?
1/360
Two letters picked without replacement from {b: 11, z: 1, q: 1}. Give prob of sequence bb.
55/78
Three letters picked without replacement from {g: 2, k: 3, f: 2, e: 2, u: 4, n: 1}. What is prob of sequence gek?
1/182
Calculate prob of sequence eevz when four letters picked without replacement from {z: 1, g: 7, e: 5, v: 3, m: 3}.
5/7752
Two letters picked without replacement from cctqqqcqiqqqqec. What is prob of sequence eq?
4/105
Three letters picked without replacement from xxxsqxspzxzzssj. Give prob of sequence zqs.
2/455
Two letters picked without replacement from jgggghjgjkhgkhjgggg. What is prob of sequence gj?
20/171
What is prob of sequence fi when two letters picked without replacement from {f: 1, o: 2, g: 1, r: 1, a: 1, i: 1}?
1/42
Calculate prob of sequence xvu when three letters picked without replacement from uxyvn.
1/60
Two letters picked without replacement from {g: 1, o: 4, a: 6, z: 4, s: 2, h: 2}. What is prob of sequence gs?
1/171
Four letters picked without replacement from {z: 4, n: 7}. Give prob of sequence znzz.
7/330
What is prob of sequence nhn when three letters picked without replacement from nsunfhsfusuo?
1/660
Calculate prob of sequence mrhr when four letters picked without replacement from rtrmtrtmtttthrrthtth.
1/969
Two letters picked without replacement from {o: 4, f: 2}. What is prob of sequence of?
4/15
Two letters picked without replacement from ppppkpplppppplppl. What is prob of sequence ll?
3/136
Calculate prob of sequence ppp when three letters picked without replacement from aapaaaapapaaaaaapp.
5/408
Three letters picked without replacement from {v: 1, i: 1, w: 3}. What is prob of sequence wvi?
1/20
What is prob of sequence pppt when four letters picked without replacement from {d: 1, y: 1, n: 1, t: 1, p: 5}?
5/252
What is prob of sequence zzff when four letters picked without replacement from zztzffppmztfzzfyzt?
7/1020
Four letters picked without replacement from {r: 5, k: 1, h: 3, c: 1, v: 2}. Give prob of sequence vvrh.
1/396
What is prob of sequence ovf when three letters picked without replacement from ccfffcfcvcozccofvf?
1/204
Two letters picked without replacement from {g: 1, n: 1, e: 1, d: 1, j: 1}. What is prob of sequence dj?
1/20
Three letters picked without replacement from ggqqgqqqggqqq. Give prob of sequence gqg.
40/429
Calculate prob of sequence ghq when three letters picked without replacement from glkqhtk.
1/210
Calculate prob of sequence sf when two letters picked without replacement from {s: 1, f: 1, v: 3, m: 1, w: 1}.
1/42
Four letters picked without replacement from {e: 5, y: 4, u: 3}. What is prob of sequence uyyu?
1/165
Two letters picked without replacement from {z: 9, j: 3, a: 2, p: 5}. Give prob of sequence zp.
5/38
Calculate prob of sequence pnn when three letters picked without replacement from {k: 2, r: 1, f: 7, n: 3, p: 1}.
1/364
Calculate prob of sequence ccc when three letters picked without replacement from {c: 4, t: 3}.
4/35
Three letters picked without replacement from acia. What is prob of sequence aca?
1/12
Calculate prob of sequence tt when two letters picked without replacement from fttffff.
1/21
What is prob of sequence yyyy when four letters picked without replacement from yyyyyyyyyy?
1
Four letters picked without replacement from {p: 2, w: 7, h: 4, v: 1}. Give prob of sequence whwv.
1/143
Two letters picked without replacement from wiwiwlywmwzlwiww. What is prob of sequence wz?
1/30
What is prob of sequence llll when four letters picked without replacement from {l: 5}?
1
Calculate prob of sequence ej when two letters picked without replacement from yvbeyjeebvbe.
1/33
What is prob of sequence yw when two letters picked without replacement from {y: 1, w: 1, g: 1}?
1/6
Three letters picked without replacement from {g: 1, d: 2, v: 1, i: 2}. What is prob of sequence gvd?
1/60
Two letters picked without replacement from muohcjo. Give prob of sequence ju.
1/42
Two letters picked without replacement from {v: 11, f: 3, s: 1, w: 4}. What is prob of sequence ww?
2/57
Four letters picked without replacement from ryly. What is prob of sequence yryl?
1/12
Two letters picked without replacement from fmznmf. What is prob of sequence mf?
2/15
What is prob of sequence iki when three letters picked without replacement from {h: 3, i: 2, k: 5, m: 2}?
1/132
What is prob of sequence va when two letters picked without replacement from {v: 4, a: 6, l: 2}?
2/11
Four letters picked without replacement from tgggggtgggggggggtggg. What is prob of sequence gttg?
4/285
Two letters picked without replacement from {t: 2, z: 1, v: 4, g: 1, x: 7}. Give prob of sequence zg.
1/210
Calculate prob of sequence lgg when three letters picked without replacement from {g: 4, l: 3}.
6/35
Three letters picked without replacement from qcftppdt. What is prob of sequence pqf?
1/168
Two letters picked without replacement from {v: 1, p: 3, f: 1, k: 5, d: 4}. Give prob of sequence fd.
2/91
Two letters picked without replacement from {f: 1, u: 1, c: 3, j: 1, t: 2, q: 4}. What is prob of sequence cq?
1/11
What is prob of sequence rg when two letters picked without replacement from {g: 3, e: 1, r: 5, q: 1}?
1/6
Two letters picked without replacement from aadddtdta. Give prob of sequence ad.
1/6
Three letters picked without replacement from mmmmnnnnnmmn | {
"pile_set_name": "DM Mathematics"
} |
he value of ((-96)/2)/(40/(-24)*(-6)/(-5))?
24
Calculate (480/(-84))/((-8)/(-28)).
-20
Calculate 4/((792/(-110))/18).
-10
Calculate (-627)/2717*-1*((-6)/2)/(-3).
3/13
(-30)/225*((-198)/12)/11
1/5
Calculate (-12)/5*-24*(-35)/(-5040).
2/5
What is (4/(3*6/(-18)))/((-5)/(-35))?
-28
(-36)/108*(-120)/1100
2/55
(12/(-3))/(-24)*(-435)/29
-5/2
((-164)/(-369))/(1/(-3))
-4/3
3/(-126)*-6*(10/(-2))/5
-1/7
((246/451)/(25/11))/((-12)/(-20))
2/5
What is (-6)/(-4)*(1/(-4))/(12/(-256))?
8
Calculate 2/(-1)*(-2912)/728.
8
Calculate ((-63)/420)/((-60)/(-250)).
-5/8
Evaluate (((-637)/(-28))/(-7))/(((-12)/4)/(-12)).
-13
Evaluate ((-6)/80)/((-606)/1515).
3/16
(-18*6/(-18))/(-4*(-12)/(-128))
-16
What is 24/(-24)*9/(-15)?
3/5
What is 1*(-13)/(-3)*2268/1638?
6
Calculate (-24)/(-36)*(126/(-8))/3.
-7/2
What is (-114)/(-4)*(100/250)/((-9)/15)?
-19
Calculate 4/18*-12*3/(-24).
1/3
Evaluate 2976/558*9/4.
12
What is ((-31)/(-93))/(((-4)/(-14))/(1/42))?
1/36
Calculate ((-56)/(-1064))/(2/19)*2*-1.
-1
What is the value of (((-22)/(-154))/((-2)/(-2)))/((-2)/(-77))?
11/2
Calculate 2/((-9)/120*5)*(-9)/2.
24
Evaluate (-2)/(-6)*(418/407)/19.
2/111
What is ((-6318)/7722)/((-6)/(-8)*-2)?
6/11
What is ((2/4)/((-747)/166))/((-3)/6)?
2/9
2070/45*((-4)/32)/((-1)/(-4))
-23
Calculate (11/(616/(-48)))/(((-6)/2)/(-42)).
-12
What is the value of (-378)/70*((-980)/42)/7?
18
What is ((-2)/(-5))/(((-14)/(-20))/(623/(-1068)))?
-1/3
(22/12)/(15/1260*70)
11/5
3/(-300)*-15*(-5)/1
-3/4
What is (-5)/((-240)/32)*(-45)/6?
-5
What is 4/((-240)/18)*((-90)/(-4))/9?
-3/4
(14/(-1))/(((-6)/3)/1)
7
Evaluate (((-2)/1)/((-21)/12))/(1050/1225).
4/3
What is the value of (734/(-1101))/((-44)/(-108))?
-18/11
Calculate (-63)/48*(-16)/6.
7/2
What is ((-18)/8)/(((-369)/(-36))/(-41))?
9
11/((-66)/(-20))*(-801)/(-445)
6
Evaluate (-1232)/660*13/((-364)/24).
8/5
What is the value of ((-8)/(-60)*9)/(126/60)?
4/7
Calculate 19*18/(-1026)*(-5)/(5/(-6)).
-2
(-53)/2703*85*9*-1
15
2/(-8*(-8)/(-480))
-15
((-1)/21*-14)/(2/(-4))*9
-12
What is the value of (17550/36)/(-13)*6/60?
-15/4
Evaluate ((-104)/70)/(5128/(-8974)).
13/5
(7/(-420)*5)/(82/(-28536))
29
What is -1*55/22*-2?
5
(-30)/8*(-672)/3024
5/6
Evaluate (-96)/128*(-132)/(-9).
-11
Calculate ((((-728)/(-13))/7)/7)/((-12)/(-42)).
4
Evaluate (-240)/96*4/(-10)*-17.
-17
10*57/380*(-8)/(-42)
2/7
What is the value of ((-15)/(-1575)*14)/((-8)/(-5))*4?
1/3
What is ((-6)/(-7))/((240/16)/105)?
6
Evaluate ((-1)/52)/((-10)/36*(-255)/(-1700)).
6/13
Evaluate 2*(-4)/(-86)*43/(-86).
-2/43
What is 0*12/(-240)*-1*2/4?
0
What is the value of 63/((4/2)/(8/12))?
21
What is 6*((-336)/63)/(-16)?
2
What is ((-500)/(-420))/(5/3)?
5/7
(-6)/(-102)*2567/4228
1/28
What is ((-7)/(56/66))/(((-741)/(-52))/(-19))?
11
What is 44*(-28)/(-280)*(-5)/(-2)?
11
((-5)/7)/((-190)/76)
2/7
Calculate 20/4*18/(-15)*2.
-12
Evaluate 3/(-90)*5*(18/2)/3.
-1/2
(90/(-8))/(35/(-168)*6)
9
Calculate -10*60/50*(-4)/(-8).
-6
Evaluate (-3*(-8)/96*-4)/((-1)/(-23)).
-23
What is (56/(-539))/((-56)/98)?
2/11
What is the value of (((-432)/(-15))/9)/(28/(-140))?
-16
What is -5*2/5*6?
-12
What is the value of (-112)/(-546)*73/(-292)?
-2/39
Calculate 2*((-18)/(-315))/2.
2/35
Evaluate -29*(-10)/4*(-38)/95.
-29
What is (-9)/70*5642/1612*32/(-6)?
12/5
What is the value of ((-91)/(-13))/(280/760)?
19
(-45)/549*(-8)/(-2)*(-100)/(-1000)
-2/61
Evaluate (-77)/(8316/(-72))*-1.
-2/3
Evaluate 3/18*((-17100)/(-25))/(-6).
-19
What is the value of (-3)/1*(2/15)/(66/99)?
-3/5
What is the value of (-34)/20*(-3684)/15657?
2/5
What is (0/(-4))/((-52)/(-26))?
0
Evaluate (9*20/75)/((-3)/((-45)/(-6))).
-6
Evaluate (-2*(-4)/(-16))/((-38)/(-988)).
-13
Calculate 13/195*-5*(-10)/(-15).
-2/9
Calculate (-2)/((2/9)/((-680)/(-360))).
-17
Calculate (-20)/450*(-4617)/114.
9/5
(-1440)/(-9120)*(-2)/(-6)*-1
-1/19
15/6*144/(-18)
-20
6/(-12)*((-4)/28)/(4/14)
1/4
Evaluate (-14)/(-35)*(-35)/(-147)*3.
2/7
Evaluate (2/(-6))/(2091/738).
-2/17
Calculate 4*(38/(-171))/(8/30).
-10/3
Evaluate (-9)/54*28*(-54)/(-144).
-7/4
What is (1*1/(-8))/(44/(-704)*16)?
1/8
What is the value of (-40)/4*(-1284)/(-535)?
-24
What is -5*(-15)/(195/13)?
5
What is 5/10*-17*23/(69/(-6))?
17
Evaluate ((-3)/(-6))/(24/(-240))*1.
-5
Calculate ((-3192)/80)/21*-10*3/(-3).
-19
(-18)/(-72)*624/(-12)
-13
8/96*7/(56/(-16))
-1/6
((2320/87)/(-16))/(-1*1)
5/3
Calculate (-9)/9*1*5*96/(-80).
6
What is 17/1105*-20*2/2?
-4/13
What is the value of (-176)/(-8)*17/(-34)?
-11
((-3)/(-1))/(8*24/448)
7
(3/(-28))/((-366)/(-1952))
-4/7
Calculate ((-1)/((-2)/(-1)))/(12/(2304/84)).
-8/7
Calculate -26*4/(-32)*(-19)/((-228)/(-48)).
-13
What is the value of (8*21/140)/(12/(-40))?
-4
(13*(-270)/(-1872))/(9/(-12))
-5/2
What is the value of ((-306)/170*2/(-9))/((-2)/80)?
-16
What is the value of 37920/(-11376)*72/10?
-24
1*((-72)/(-48))/((-1)/6)*1
-9
((6/9)/(-1))/(175/(-210))
4/5
Evaluate ((-50)/(-75))/((-3)/(-36)*2*-5).
-4/5
16114/27624*6/2
7/4
Calculate (((-2)/(-8))/((-21)/84))/(1/1).
-1
(9*1)/(((-198)/(-11))/(-18))
-9
Evaluate (36/(-21))/((-96)/(-672)).
-12
What is ((-108)/15)/6*(-40)/24?
2
What is (((-1)/6)/(33/44))/((-5)/30)?
4/3
What is the value of (-36)/75*(-5955)/(-19056)?
-3/20
What is the value of (-218)/(-327)*1/6?
1/9
What is the value of (11/(-44))/((15/(-2))/5)?
1/6
((-6)/32)/(-5*(-72)/(-2400))
5/4
What is the value of 2/(-34)*(-969)/171?
1/3
What is the value of ((-21)/(-99))/7*(-144)/24?
-2/11
Calculate -1*-16*13/(-2808).
-2/27
Evaluate (-6)/(-88)*2368/(-888).
-2/11
Calculate ((-7)/2)/(-7)*-15*(-16)/84.
10/7
(-3)/(-2)*((-4)/9)/2*-15
5
Evaluate 105/(-168)*(-2)/(-5).
-1/4
Calculate 11/(330/(-2))*-3*5/15.
1/15
Calculate (-72)/864*(18/3)/3*1.
-1/6
(-28)/(-8)*12/(-84)*27/(-27)
1/2
What is ((-99)/132)/((-1)/(-4))?
-3
Calculate (20/6)/(5/(-18)).
-12
What is 8/12*735/(-35)?
-14
(7*21/(-49))/((-3)/2)
2
What is (9*(-16)/96)/(306/(-8))?
2/51
((-12)/48*2)/((-2)/(-20))
-5
What is (20/225)/(102/(-255))?
-2/9
What is 1/((-30)/(-102))*5*17/(-85)?
-17/5
What is (315/(-140))/((-6)/(-48))?
-18
((-4)/((-8)/(-3)))/(-40*35/(-16800))
-18
What is ((-221)/(-51))/((-22)/66)?
-13
What is (-2*(-25)/10)/5*-7?
-7
What is the value of (-180)/40*208/108*-3?
26
What is the value of 60*-24*(-19)/3420?
8
Calculate (8/10*15)/((-4)/(-2)).
6
Evaluate 5*(555/1295)/((-15)/(-14)).
2
What is the value of ((6/6)/(-10))/(20/40)?
-1/5
(2751/(-262))/((-8)/(-16))
-21
Calculate 24/(-14)*(-280)/400*5.
6
What is ((-490)/4557)/(-2)*4*(-12)/(-40)?
2/31
Calculate (18/12*(-3)/(-9))/((-4)/(-8)).
1
Evaluate 20/135*2*(45/(-10))/3.
-4/9
Calculate ((-6)/12)/((-252)/(-144)).
-2/7
Calculate (-3190)/58*(-4)/(-11).
-20
((-10)/4*-8)/((-73)/(3504/288))
-10/3
((-18)/((-6)/(-3)))/(12*(-5)/15)
9/4
What is (-1212)/2020*(-20)/1?
12
What is the value of (-4*(-3)/18)/(20/(-90))?
-3
(7/(238/17))/(1/(114/3))
19
((-275)/(-150))/(2/14*(-14)/12)
-11
What is ((-16)/(-10))/((1380/200)/(-69))?
-16
What is ((-2)/2)/(132/(-165)*(-75)/156)?
-13/5
What is the value of -44*(168/(-14))/(-48)?
-11
Evaluate ((-14688)/(-272))/((-36)/(-16)).
24
Calculate (-3*7/(-12))/(12/(-144)).
-21
What is ((95/(-2))/(-19))/(-15)?
-1/6
What is the value of ((-2960)/(-1110))/((-2)/6)?
-8
What is the value of 7*(-44)/(241164/27)?
-1/29
What is (23*(-29)/(-16008))/((-2)/54)?
-9/8
Evaluate (2/(-3))/(126/1512).
-8
Calculate -2*1/((-30)/(-105)).
-7
(28/11)/((-496)/(-2728))
14
What is 1/(-3)*24111/(-10716)?
3/4
What is the value of ((-44)/792)/((-4)/6*(-2)/(-4))?
1/6
What is the value of (880/140)/(4/(-56)*-4)?
22
(180/(-441))/(135/(-189))
4/7
Evaluate (39/(1209/31))/((-4)/200*-2).
25
What is the value of 2/(-72)*-8*-9*1*5?
-10
Calculate 1/((-3)/(-8))*-72*11/(-5808).
4/11
What is 1/(7/35)*(-210)/(-70)?
15
What is ((-12)/((-8)/2))/((-9)/(-63))?
21
Evaluate (189/(-18))/((-13)/((-156)/9)).
-14
What is the value of (-320)/50*205/(-82)?
16
What is the value of 435/(-1015)*140/(-12)?
5
210/(-350)*1*5
-3
What is the value of (-3)/((26/(6084/27))/(2/(-4)))?
13
Evaluate (-4)/9*30/(-840)*-42.
-2/3
What is (-216)/189*4/(-16)*-14?
-4
(-21)/((3600/125)/48)
-35
Calculate (4/14)/((-64)/128)*(-4)/(-2).
-8/7
Evaluate (-2*(-2)/(-60)*5)/((-16)/(-384)).
-8
Evaluate (18/(-30))/((1170/(-25))/(-18)).
-3/13
0/(18/(-9)*1)
0
(705/(-141))/((-10)/(-4))
-2
Evaluate (((-1)/(-3))/(9*3/54))/11.
2/33
((-1)/(-12)*-4)/(48/9)
-1/16
What is ((22/2618)/((-10)/(-20)))/( | {
"pile_set_name": "DM Mathematics"
} |
ending order.
4, 3, 1.4, -2/31, -0.1
Put -0.49, -4, 3, 4/3, 70 in decreasing order.
70, 3, 4/3, -0.49, -4
Sort 4, -50, 5, 203, -5 in descending order.
203, 5, 4, -5, -50
Put 4, -4, 3, 2, 71, 37 in ascending order.
-4, 2, 3, 4, 37, 71
Sort -37, -4, 1584 in decreasing order.
1584, -4, -37
Put 3, -4, -1, 26, 7, -5 in decreasing order.
26, 7, 3, -1, -4, -5
Sort -2/7, -4/9, 58/14987.
-4/9, -2/7, 58/14987
Put 2, -184, 5, -90 in decreasing order.
5, 2, -90, -184
Sort -4, -0.4, -0.3, -313/9, 1.
-313/9, -4, -0.4, -0.3, 1
Sort -14/9, -1/6, -0.4, 0.5, 0.1 in descending order.
0.5, 0.1, -1/6, -0.4, -14/9
Put 4/7, 0.1, -2/41, 4, 0, 2/7 in descending order.
4, 4/7, 2/7, 0.1, 0, -2/41
Sort 1301/5, -0.4, -5 in ascending order.
-5, -0.4, 1301/5
Sort 3, -3, -30384, 1, 4 in descending order.
4, 3, 1, -3, -30384
Sort -7, -83, 6, -3, 0.
-83, -7, -3, 0, 6
Put -3, 3, 8, 522 in decreasing order.
522, 8, 3, -3
Sort 4/7, 0.3, 1/6, 115815, 1/5 in decreasing order.
115815, 4/7, 0.3, 1/5, 1/6
Sort -4, -12059, 0.1, 3, 0.07 in increasing order.
-12059, -4, 0.07, 0.1, 3
Put -41, 3/5, 0.034, -2 in decreasing order.
3/5, 0.034, -2, -41
Sort -4, -1841, 46, 0 in ascending order.
-1841, -4, 0, 46
Put -0.1, 3, 2/7, -4, -7/180, 0.1 in increasing order.
-4, -0.1, -7/180, 0.1, 2/7, 3
Sort -2, -3, 103, 2, 0, -6 in descending order.
103, 2, 0, -2, -3, -6
Sort -1671, -4, -1/18.
-1671, -4, -1/18
Put -5, -1, -12, 10, 3 in decreasing order.
10, 3, -1, -5, -12
Sort 2/3, 21/2, 0, -4, 10 in decreasing order.
21/2, 10, 2/3, 0, -4
Sort -0.2, -1/3, -4, -2/317 in decreasing order.
-2/317, -0.2, -1/3, -4
Sort 0.1, -0.5, 80/29.
-0.5, 0.1, 80/29
Put 24, 2, 3, 4, 1, -42 in descending order.
24, 4, 3, 2, 1, -42
Sort -23, 14, 3, -467 in ascending order.
-467, -23, 3, 14
Put -1/27, -5, -1/5, 0.4, 2, -1 in ascending order.
-5, -1, -1/5, -1/27, 0.4, 2
Sort 11, 2, -2, -3, -78, 14.
-78, -3, -2, 2, 11, 14
Sort -1, -90/173, 2/17 in descending order.
2/17, -90/173, -1
Sort 44, 2, -10, -7.
-10, -7, 2, 44
Sort 1/2, 0, -2, 2098, 6 in descending order.
2098, 6, 1/2, 0, -2
Sort 4, 32, -9, 2 in decreasing order.
32, 4, 2, -9
Put -0.4, -7.45, 1, -2.6 in decreasing order.
1, -0.4, -2.6, -7.45
Put 1434, -30, -5 in decreasing order.
1434, -5, -30
Sort -12, -40, 3, -1/8, -0.16, 2/5 in decreasing order.
3, 2/5, -1/8, -0.16, -12, -40
Put -0.04, 0.5, -6, -4/59 in decreasing order.
0.5, -0.04, -4/59, -6
Sort -0.5, 171, -9474.
-9474, -0.5, 171
Sort -4.0415, 1/7, -4.
-4.0415, -4, 1/7
Put -416, -3, -9 in decreasing order.
-3, -9, -416
Sort -1, 171, -4, 8, 0.
-4, -1, 0, 8, 171
Put -7/8, 0, -5, 2/15 in decreasing order.
2/15, 0, -7/8, -5
Sort -5, 551, -1, 2, 4.
-5, -1, 2, 4, 551
Sort 1, 137, 1386.
1, 137, 1386
Put -2, 32, 0, -23 in decreasing order.
32, 0, -2, -23
Sort -38/3, -1, 2 in descending order.
2, -1, -38/3
Put 2, 30, -11, 64 in increasing order.
-11, 2, 30, 64
Sort -5616, -3, -1, 1, 4 in increasing order.
-5616, -3, -1, 1, 4
Sort 3, -2107, -7/2, -2.
-2107, -7/2, -2, 3
Put 38, 0.6, -7, 6, 2/5 in descending order.
38, 6, 0.6, 2/5, -7
Sort -4, -1/68, -34/305 in descending order.
-1/68, -34/305, -4
Put -15, -5, -1127 in ascending order.
-1127, -15, -5
Sort -0.121, 105/4, 2/13 in ascending order.
-0.121, 2/13, 105/4
Sort -37, -26/31, -2 in descending order.
-26/31, -2, -37
Sort -0.4, -2, 3.6, -1 in increasing order.
-2, -1, -0.4, 3.6
Put 4, 3, -25297, -3, -4 in decreasing order.
4, 3, -3, -4, -25297
Put -0.05, 1, 0.4, -5, 15 in decreasing order.
15, 1, 0.4, -0.05, -5
Sort -4, -5, -3, -2, -115.
-115, -5, -4, -3, -2
Sort 21, -1, -14, 9, 3, 17.
-14, -1, 3, 9, 17, 21
Put 533, -5, -22, -14 in increasing order.
-22, -14, -5, 533
Sort -21.93, -8, -2 in increasing order.
-21.93, -8, -2
Sort -2, -11, -0.8, 10, 4, 1/2 in decreasing order.
10, 4, 1/2, -0.8, -2, -11
Put -5, -3, -4, 4, 7, -26 in descending order.
7, 4, -3, -4, -5, -26
Put 2, -0.1077, -4, 12.4, -2 in ascending order.
-4, -2, -0.1077, 2, 12.4
Sort -8, -10/3, -2/11, 6.
-8, -10/3, -2/11, 6
Sort -0.69, 0.2, 6016 in ascending order.
-0.69, 0.2, 6016
Sort 3, 110820, 1, 0 in descending order.
110820, 3, 1, 0
Put 4, -1, -4, 1, 5, -31 in decreasing order.
5, 4, 1, -1, -4, -31
Put 10, -1.3, 2216 in ascending order.
-1.3, 10, 2216
Put 2/7, -2, 0.23, 14, 1 in decreasing order.
14, 1, 2/7, 0.23, -2
Sort -36, -0.092, -2/11, 1/6 in descending order.
1/6, -0.092, -2/11, -36
Put -2/5, 67/13, 0.2, 5, 17 in decreasing order.
17, 67/13, 5, 0.2, -2/5
Sort -47, -2, -5, 3, 2, 15 in decreasing order.
15, 3, 2, -2, -5, -47
Sort 5, -5, 19, 124, -3 in decreasing order.
124, 19, 5, -3, -5
Put 5/17, -7, -88.5 in increasing order.
-88.5, -7, 5/17
Sort 5, 39307, 1 in descending order.
39307, 5, 1
Sort 303, 3/5, -62 in descending order.
303, 3/5, -62
Put -1331, 4/3, 5, -2/15, 1/3 in increasing order.
-1331, -2/15, 1/3, 4/3, 5
Sort -6, -1, 1, -2, -13, 4 in descending order.
4, 1, -1, -2, -6, -13
Sort 41, 4, 5, 3, -203 in increasing order.
-203, 3, 4, 5, 41
Sort -28, 0, -11, -3, 5 in descending order.
5, 0, -3, -11, -28
Sort 5, 1.4, 12, -4, 47.
-4, 1.4, 5, 12, 47
Sort 4122, 0.5, -1/2, -4.
-4, -1/2, 0.5, 4122
Sort 0, 83, 40, 4.
0, 4, 40, 83
Sort -10, -0.2, 1, -0.3, -4, -11 in ascending order.
-11, -10, -4, -0.3, -0.2, 1
Put 1, -2/7, -2, -5, -0.11, 0.019 in increasing order.
-5, -2, -2/7, -0.11, 0.019, 1
Put 2/13, -42291, -2/7 in decreasing order.
2/13, -2/7, -42291
Put -719, 83, -4 in decreasing order.
83, -4, -719
Put -3, -9110, 4 in decreasing order.
4, -3, -9110
Sort 1/6, 0.3, -5, -1/6, 11 in increasing order.
-5, -1/6, 1/6, 0.3, 11
Put 4, -20570, 2, 5, 3 in increasing order.
-20570, 2, 3, 4, 5
Put 4931, 0.5, 4 in decreasing order.
4931, 4, 0.5
Put 23, -131, 2 in descending order.
23, 2, -131
Put -5, 574, 2, -2, 3 in decreasing order.
574, 3, 2, -2, -5
Put 2, -21, 41, -4, -1 in ascending order.
-21, -4, -1, 2, 41
Put 62, 0, -12870 in increasing order.
-12870, 0, 62
Sort -6383, 0, -5, 6 in ascending order.
-6383, -5, 0, 6
Sort -78, -3, -5 in descending order.
-3, -5, -78
Put 5, -3, 2, 0.5, -10 in decreasing order.
5, 2, 0.5, -3, -10
Sort -15, -2, 66, -148 in increasing order.
-148, -15, -2, 66
Put 1/4, 4, -4, -1/6, -0.3, -3/7 in descending order.
4, 1/4, -1/6, -0.3, -3/7, -4
Sort -135, 33, -1 in descending order.
33, -1, -135
Put 2/19, 121, 4/9, 17 in descending order.
121, 17, 4/9, 2/19
Sort -0.3, 0.3, 1, -76, 10.
-76, -0.3, 0.3, 1, 10
Sort -5, 41, -236 in descending order.
41, -5, -236
Sort 99, 8, 4, -2, -46 in descending order.
99, 8, 4, -2, -46
Sort 2/17, 2, 3, -0.084, 0 in descending order.
3, 2, 2/17, 0, -0.084
Put -13, 538, 5 in descending order.
538, 5, -13
Sort 4, -0.008, 218 in increasing order.
-0.008, 4, 218
Put -3, -516, 17, 0 in decreasing order.
17, 0, -3, -516
Sort 3, 0.5, 4/9, -0.04, 1/126, 5 in descending order.
5, 3, 0.5, 4/9, 1/126, -0.04
Sort 0.5, -0.3237, 4 in ascending order.
-0.3237, 0.5, 4
Sort 0, -5, 54, 11 in decreasing order.
54, 11, 0, -5
Sort 1, 5, -57, -0.029 in decreasing order.
5, 1, -0.029, -57
Put 1, -3, 1799 in ascending order.
-3, 1, 1799
Sort 18.566, 0, -1/12.
-1/12, 0, 18.566
Sort -6, 3, -71, -67 in increasing order.
-71, -67, -6, 3
Sort 1/52, -1/4, -1/3, 0, -4, 1/4.
-4, -1/3, -1/4, 0, 1/52, 1/4
Put -1, 5, -3, 2, -23, -57 in descending order.
5, 2, -1, -3, -23, -57
Sort -2, 1297, 20.
-2, 20, 1297
Sort -0.4, 2/99, 34, 0.2.
-0.4, 2/99, 0.2, 34
Sort 1, -3, 5, -4, -2.1, -0.43 in decreasing order.
5, 1, -0.43, -2.1, -3, -4
Put -5, 12, 0, 0.10961, -3/7 in ascending order.
-5, -3/7, 0, 0.10961, 12
Sort -5, 1, -3, -2521, -9, -1 in decreasing order.
1, -1, -3, -5, -9, -2521
Sort -299, 3, -12/5, 0, -5 in increasing order.
-299, -5, -12/5, 0, 3
Sort -89, -3/22, 1, 2/3 in descending order.
1, 2/3, -3/22, -89
Put 5, -5, 0.2, -94 in descending order.
5, 0.2, -5, -94
Put -16/51, 3, -0.03, -2, -3 in ascending order.
-3, -2, -16/51, -0.03, 3
Put -0.4, -12/7, -3, 3, 12, 2/35 in decreasing order.
12, 3, 2/35, -0.4, -12/7, -3
Sort 4, 5, -12, 96, 3 in increasing order.
-12, 3, 4, 5, 96
Sort -44, 4, -73, -2, 10 in ascending order.
-73, -44, -2, 4, 10
Put -70, 291, 9, -6 in decreasing order.
291, 9, -6, -70
Sort 6, 32, -5, -66 in ascending order.
-66, -5, 6, 32
Sort 49, -3, 520.
-3, 49, 520
Sort 21318, 0.3, 1/2 in increasing order.
0.3, 1/2, 21318
Sort 3, 32, 13, -6 in descending orde | {
"pile_set_name": "DM Mathematics"
} |
7, what is 23242 + 134?
23406
In base 16, what is 1785 + -c8?
16bd
In base 10, what is 17029 + -76?
16953
In base 11, what is -269680 - -4?
-269677
In base 7, what is 1436 + -213?
1223
In base 16, what is -6b2 - -91?
-621
In base 4, what is 11 + 2100203232?
2100203303
In base 14, what is -1009 + -321?
-132a
In base 5, what is 10112043031 - -10?
10112043041
In base 13, what is 17871 - 3?
1786b
In base 13, what is -11cc8 + 2?
-11cc6
In base 10, what is 2583 + -22?
2561
In base 3, what is 2111221 - 1?
2111220
In base 7, what is 3016 + -14?
3002
In base 8, what is -10775 - 137?
-11134
In base 8, what is 10102 + -166?
7714
In base 13, what is -16 + 2a17?
2a01
In base 5, what is 41 + -134122?
-134031
In base 4, what is 110313221 + -10?
110313211
In base 11, what is 24 - 113963?
-11393a
In base 3, what is 101 + -101200101?
-101200000
In base 11, what is -68a85 + 5?
-68a80
In base 7, what is 144305 + 2?
144310
In base 9, what is -2206 - 30?
-2236
In base 7, what is 2 + -12132?
-12130
In base 15, what is -36c1 + 1?
-36c0
In base 5, what is 44 + -14042011?
-14041412
In base 6, what is 13 + -32431?
-32414
In base 12, what is -39743 - 4?
-39747
In base 11, what is 13 - 13052?
-1303a
In base 6, what is 41 + -451051?
-451010
In base 16, what is 148394 + 3?
148397
In base 2, what is -11 - 1001010110001110101?
-1001010110001111000
In base 2, what is -1 - 1000001110?
-1000001111
In base 5, what is 4 - 1134324?
-1134320
In base 5, what is -223010 - -3?
-223002
In base 4, what is 323213322102 - 1?
323213322101
In base 6, what is -114223 + 34?
-114145
In base 9, what is 5 + 462815?
462821
In base 9, what is 31 - 55771?
-55740
In base 12, what is -9 - 74b?
-758
In base 9, what is -270467 - 11?
-270478
In base 16, what is -168 - -127?
-41
In base 14, what is -c64 - c?
-c72
In base 8, what is 40301 + 4?
40305
In base 5, what is -123410240 + -2?
-123410242
In base 4, what is -3 - 311?
-320
In base 14, what is 7 + -591aa?
-591a3
In base 8, what is -1 - 2174672?
-2174673
In base 14, what is -23 - 1511?
-1534
In base 14, what is 28141 + -1?
28140
In base 16, what is -1c34d + 1?
-1c34c
In base 10, what is 836017 - 2?
836015
In base 7, what is -3001 - -421?
-2250
In base 8, what is 22 - -4426?
4450
In base 6, what is 0 + -40121?
-40121
In base 7, what is 1123 - 2050?
-624
In base 9, what is 0 - -2171235?
2171235
In base 10, what is -65 - 445?
-510
In base 9, what is -4 - 221712?
-221716
In base 14, what is a1cd7 + -2?
a1cd5
In base 12, what is 8889 + -2?
8887
In base 16, what is d8 - -87?
15f
In base 13, what is 409 - 24c?
18a
In base 16, what is 322 + -8?
31a
In base 14, what is -bb - -3cd5?
3c18
In base 13, what is 2 + -29751?
-2974c
In base 15, what is -c2 - -3c?
-85
In base 9, what is -37856 - 0?
-37856
In base 15, what is 60 + 24d57?
24db7
In base 9, what is -5 - 2646581?
-2646586
In base 3, what is -10 + 10010121102?
10010121022
In base 4, what is 33013112 - -1?
33013113
In base 2, what is 1110101101 - 110100?
1101111001
In base 3, what is 1100022 - -10011?
1110110
In base 11, what is 513 + -82a?
-317
In base 8, what is -237 + 35146?
34707
In base 9, what is 24 + -240?
-215
In base 8, what is 0 - -30707?
30707
In base 3, what is 100101220 - -2111?
100111101
In base 12, what is -aa732 + -10?
-aa742
In base 15, what is -3 - 1ce0?
-1ce3
In base 11, what is 2 + 19aaa?
1a001
In base 5, what is 3403243 + 31?
3403324
In base 6, what is -213131 + -42?
-213213
In base 5, what is 33140320 - 10?
33140310
In base 14, what is 360ba + -5?
360b5
In base 11, what is -5 + -157a8?
-15802
In base 6, what is 45413 - 104?
45305
In base 9, what is 0 - 25208?
-25208
In base 7, what is 10 + 1225356?
1225366
In base 15, what is 17c5 - -3e?
1814
In base 15, what is -1 - 24796?
-24797
In base 11, what is 2 + a3836?
a3838
In base 9, what is -1 + -7613?
-7614
In base 10, what is -4 + -275183?
-275187
In base 2, what is -110 + -110010000010011?
-110010000011001
In base 12, what is -69 + 242?
195
In base 2, what is -101111111 - 11010111?
-1001010110
In base 14, what is 1c6c + 7?
1c75
In base 12, what is 1832 - -1?
1833
In base 14, what is 606 - 4a?
59a
In base 11, what is -1 + 4a3?
4a2
In base 5, what is -144003113 + 4?
-144003104
In base 15, what is 21 - -1763?
1784
In base 12, what is 45135 - -4?
45139
In base 11, what is -3 - 2224?
-2227
In base 14, what is b3d + -d8?
a45
In base 13, what is aa7c + 5?
aa84
In base 6, what is -4005 - 1114?
-5123
In base 16, what is 843 + 7?
84a
In base 3, what is -202211120 + 1?
-202211112
In base 4, what is 211223130 + 11?
211223201
In base 16, what is -16586 + -3?
-16589
In base 5, what is 1443 - 132?
1311
In base 5, what is 12 - 134011?
-133444
In base 11, what is -5 - -7323?
7319
In base 14, what is -183d - -7?
-1836
In base 6, what is 313322 + 21?
313343
In base 13, what is -43 + -461?
-4a4
In base 4, what is -220102223133 + -10?
-220102223203
In base 15, what is 840 + 6?
846
In base 16, what is -349 - -7d?
-2cc
In base 7, what is -335 + 3123?
2455
In base 5, what is 12201 + 11?
12212
In base 9, what is -4 - 36457?
-36462
In base 12, what is 28588 - -3?
2858b
In base 12, what is -288202a - -4?
-2882026
In base 14, what is -126d5 + 5?
-126d0
In base 3, what is -101111202 - 11020?
-101122222
In base 6, what is 222 - -150322?
150544
In base 11, what is 1396 - 1337?
5a
In base 10, what is -1 - 10109?
-10110
In base 13, what is -3 - 2575?
-2578
In base 6, what is -1001014 + -3?
-1001021
In base 15, what is 1476 - 1b6?
12b0
In base 13, what is 3a43b - 5?
3a436
In base 16, what is -2 - -3091c?
3091a
In base 13, what is -1 - -6bc24?
6bc23
In base 7, what is 2343 + -116?
2224
In base 3, what is 21 + 10002211212?
10002212010
In base 15, what is 1a - -56ab?
56c6
In base 12, what is 48574 - -3?
48577
In base 7, what is -15433462 + -5?
-15433500
In base 2, what is 1011001101011 - -100110?
1011010010001
In base 10, what is -2226 - 293?
-2519
In base 10, what is -4 - 358007?
-358011
In base 11, what is 54 + 910a?
9163
In base 8, what is 1 + -17352?
-17351
In base 15, what is 1 - -23eb?
23ec
In base 6, what is 32 + -1223?
-1151
In base 14, what is -77b3 + 3d?
-7774
In base 13, what is 5 - -1629?
1631
In base 8, what is 3163061 + 4?
3163065
In base 13, what is -8 - -3361?
3356
In base 8, what is 5326 - 606?
4520
In base 14, what is -48a920 - 5?
-48a925
In base 2, what is -1011111101110 - 10000?
-1011111111110
In base 5, what is -2220010224 - 4?
-2220010233
In base 13, what is 3 - 14780?
-1477a
In base 7, what is -63231 + 34?
-63164
In base 10, what is 2 + 4241?
4243
In base 8, what is 4425 - 145?
4260
In base 8, what is -1 + -5720?
-5721
In base 5, what is 4344330 - -1?
4344331
In base 12, what is 162b + 0?
162b
In base 15, what is -3b9 - -83?
-336
In base 9, what is 100 + 21?
121
In base 10, what is -5812 - -9?
-5803
In base 9, what is -7282 - -8?
-7273
In base 15, what is -1 - 57e01?
-57e02
In base 9, what is -78 - 7007?
-7086
In base 3, what is 10 - -111210120?
111210200
In base 14, what is 1d78 + -59?
1d1d
In base 8, what is 14 + -3647?
-3633
In base 7, what is 14 + 351565?
351612
In base 8, what is 64412 + 120?
64532
In base 4, what is -11003301013 + -1?
-11003301020
In base 12, what is 8182 + -1a2?
7ba0
In base 5, what is 0 - -21101214?
21101214
In base 9, what is -5600 + -1?
-5601
In base 6, what is 102 - 4122?
-4020
In base 3, what is 22222 + 121220020?
122020012
In base 7, what is -13434 - 651?
-14415
In base 2, what is 0 + 110011001010111110?
110011001010111110
In base 4, what is -103 + -1003002?
-1003111
In base 6, what is -124 - 135?
-303
In base 5, what is -2 - -10430124?
10430122
In base 5, what is -144 + 1432?
1233
In base 11, what is -207 + -3234?
-3440
In base 6, what is 15250 + -1321?
13525
In base 13, what is -17538 - -12?
-17526
In base 8, what is 73 - 12171?
-12076
In base 8, what is 3351 - -27?
3400
In base 10, what is -9 + -54612?
-54621
In base 8, what is 21 - -15563?
15604
In base 9, what is -172786 - 4?
-172801
In base 9, what is -2 - -405258?
405256
In base 7, what is 11334 - -22?
11356
In base 12, what is 15a13 + -5?
15a0a
In base 2, what is 1110 + 10100100010100011?
10100100010110001
In base 16, what is 10 - 38?
-28
In base 7, what is -442341 + 5?
-442333
In base 16, what is -17a - -998?
81e
In base 10, what is 948884 - -4?
948888
In base | {
"pile_set_name": "DM Mathematics"
} |
- 3. Let n be k(2). Determine x so that 1/2*x**2 - n + 1/2*x = 0.
-2, 1
Let i be (26/91)/((-1)/(-14)). Suppose -11 = 3*s - i*p, 5*p = 5*s - 0*s + 10. Factor 2*f**2 + s - 3 + 2*f**2 + 4*f.
4*f*(f + 1)
Let c(h) = -34*h**3 + 60*h**2 - 32*h - 2. Let m(g) = 69*g**3 - 119*g**2 + 66*g + 4. Let d(n) = -5*c(n) - 2*m(n). Solve d(j) = 0.
-1/16, 1
Let c be (-12 + 12)*5*6/(-60). Factor 1/3*v**3 + c + 1/3*v**2 - 2*v.
v*(v - 2)*(v + 3)/3
Let w be ((-3)/24)/(93/(-496)). Factor w*d + 1/3*d**3 - d**2 + 0.
d*(d - 2)*(d - 1)/3
Let z(v) be the second derivative of 1/15*v**6 + 0 + 1/2*v**4 + 0*v**3 - 25*v - 2/5*v**5 + 0*v**2. Factor z(o).
2*o**2*(o - 3)*(o - 1)
Let f = -1918 + 3837/2. Factor -2*p**4 + 2*p**2 + 3/2*p**3 - 2*p + 0 + f*p**5.
p*(p - 2)**2*(p - 1)*(p + 1)/2
Solve -6/7*k**4 - 8/7*k**5 + 72/7 + 138/7*k**3 - 330/7*k + 134/7*k**2 = 0.
-3, 1/4, 1, 4
Let q(i) = -2*i**3 + 6*i**2 - 5*i - 1. Let j be q(5). Let v = -628/5 - j. Factor -v*p - 2/5*p**3 + 0 + 4/5*p**2.
-2*p*(p - 1)**2/5
Let c(z) be the first derivative of z**5/10 - 5*z**4/8 - 4*z**3/3 + 3*z**2 - 97. Find x, given that c(x) = 0.
-2, 0, 1, 6
Let x(w) = w**3 + 2*w**2 - w + 1. Let f(c) = 8*c**3 + 52*c**2 + 194*c + 6. Let z(r) = f(r) - 6*x(r). Find b such that z(b) = 0.
-10, 0
Suppose -3*c - 29 - 91 = 0. Let f be (-3)/4*c/15. Factor 3*u**2 - 2*u - 6*u**2 - u**3 - 2*u**3 + f*u**3.
-u*(u + 1)*(u + 2)
Let d(c) = c**4 - 2*c**3 + c**2 + c. Let k(y) = 3*y**4 + 3*y**3 - 38*y**2 + 68*y - 32. Let u(g) = 12*d(g) - 3*k(g). Solve u(r) = 0 for r.
1, 2, 4
Let f(s) be the second derivative of -s**6/165 - 5*s**5/2 - 4186*s**4/11 - 753296*s**3/33 + 778688*s**2/11 + 2*s + 18. Factor f(l).
-2*(l - 1)*(l + 92)**3/11
Let b(l) = l**3 + 3*l**2 + 4. Let i be b(-3). Determine z so that -28*z**2 + 0*z - 20*z**3 + z - 4*z - 9*z - 4*z**i = 0.
-3, -1, 0
Solve -12*s + 3/5*s**2 + 0 = 0 for s.
0, 20
Let h = 20493/95 - 1068/5. Let m = 44/19 - h. Factor 3/5*f**4 + m*f**3 - 3/5*f**2 + 1/5*f**5 - 2/5*f + 0.
f*(f - 1)*(f + 1)**2*(f + 2)/5
Let o be 38/16 - (786/48 - 16). Suppose -2/3 - 10/3*x**o - 4*x = 0. Calculate x.
-1, -1/5
Let b(k) be the first derivative of 2*k**3/3 + 17*k**2 + 32*k + 92. Solve b(d) = 0.
-16, -1
Let u be (-6)/15 + (-88)/(-20). Let l(d) be the second derivative of 1/2*d**3 - 3*d**2 + 0 + 1/2*d**u - 6*d - 3/20*d**5. Factor l(q).
-3*(q - 2)*(q - 1)*(q + 1)
Let h(r) = 3*r**4 + 20*r - 6*r - r**2 - 8 - 4. Let u(z) = -z**4 - z**3 + z**2 - z + 1. Let i(y) = -h(y) - 4*u(y). Determine d so that i(d) = 0.
-4, -2, 1
Suppose 0 = -p + 3*r + 9, -2*p = 2*p - 4*r - 20. Suppose p + 5 = 4*y. Factor -2/3*c**4 + 0 - 2*c**y - 2*c**3 - 2/3*c.
-2*c*(c + 1)**3/3
Let h(o) = 2*o**2 + 21*o - 11. Let p be h(-11). Let m(t) be the first derivative of 1/5*t**2 + p*t - 5 - 1/20*t**4 - 1/15*t**3. Factor m(g).
-g*(g - 1)*(g + 2)/5
Let x be 16/(-28) + 76/35. Determine s so that 2/5*s**2 + 8/5 + x*s = 0.
-2
Let y(s) = -s**3 + 17*s**2 - 29*s - 12. Let c be y(15). Solve 5*p**3 - p**c + 4*p**3 - 3*p**3 = 0 for p.
0
Let 32*z**4 - 11*z**2 + 150*z**3 + 5*z**5 + 151*z**2 - 29*z + 28*z**4 + 74*z = 0. What is z?
-9, -1, 0
Let d(o) = 4*o**3 - 40*o**2 + 36*o. Suppose -54 = -4*k - 2*u + 5*u, -5*k - 4*u = -52. Let i(j) = j**2 - j. Let a(b) = k*i(b) + d(b). Factor a(v).
4*v*(v - 6)*(v - 1)
Let c(i) be the first derivative of -i**3/24 + 67*i**2/16 - 65*i/4 + 91. Factor c(q).
-(q - 65)*(q - 2)/8
Let d(x) be the first derivative of x**4/2 + 2*x**3/3 - x**2 - 2*x - 7. Find c, given that d(c) = 0.
-1, 1
Let j = 58 + 45. Let 20*w**2 - 20*w**4 + 6*w + 98*w**3 - w - j*w**3 = 0. Calculate w.
-1, -1/4, 0, 1
Let 30/7 + 3/7*m**2 + 3*m = 0. What is m?
-5, -2
Let a = 5921/5 + -1184. Solve -1/5*y**3 + a*y**2 - 1/5 + 1/5*y = 0.
-1, 1
What is t in -5/3*t**2 - 69360 + 680*t = 0?
204
Factor k**3 + 0*k - 1/5*k**4 - 6/5*k**2 + 0.
-k**2*(k - 3)*(k - 2)/5
Find a, given that -144 + 9*a**3 + 81*a**2 + 3*a**3 - 30*a - a**3 + a**3 - 108*a = 0.
-8, -3/4, 2
Suppose 5/4*g**5 + 5/4 + 5/4*g - 5/2*g**3 + 5/4*g**4 - 5/2*g**2 = 0. What is g?
-1, 1
Let b(x) = -x - 1. Let k be (-8)/3 + 2/(-6). Let r be b(k). Factor -2*p + p + 0*p - p**r.
-p*(p + 1)
Let 46/17*a**2 + 22/17*a + 26/17*a**3 + 0 + 2/17*a**4 = 0. Calculate a.
-11, -1, 0
Let n(u) be the second derivative of -2/3*u**3 - 26*u + 1/15*u**6 + 3*u**2 + 1/5*u**5 + 0 - 2/3*u**4. What is r in n(r) = 0?
-3, -1, 1
Let f(o) be the first derivative of 2*o**3/3 - 9*o**2 - 72*o + 228. Determine w, given that f(w) = 0.
-3, 12
Let w(a) be the third derivative of -a**6/30 + 2*a**5/15 + 2*a**4/3 - 16*a**3/3 + a**2 + 2. Solve w(m) = 0 for m.
-2, 2
Let l(s) be the third derivative of -s**8/60480 + s**6/540 - s**5/60 - 20*s**2. Let m(r) be the third derivative of l(r). Solve m(p) = 0.
-2, 2
Let a be ((-1)/(-6)*2)/(-11 + 646/51). Suppose 0 + 0*w + a*w**3 + 4/5*w**2 = 0. Calculate w.
-4, 0
Let s(l) be the first derivative of l**7/525 - l**6/300 - l**5/50 + l**4/12 - 2*l**3/15 - 6*l**2 - 7. Let m(j) be the second derivative of s(j). Factor m(x).
2*(x - 1)**3*(x + 2)/5
Let a(f) be the third derivative of -f**5/30 + 9*f**4/4 - 131*f**2. Factor a(w).
-2*w*(w - 27)
Factor 8*v + 38*v - 10*v + 4*v**2 - 4*v.
4*v*(v + 8)
Suppose 0 = -9*f - 18 - 9. Let z(a) = -3*a**3 + 2*a**2 - 2*a - 1. Let o be z(f). Factor o - 12*y**3 - 4*y**4 + 0*y**4 - 104.
-4*y**3*(y + 3)
Let j(u) be the third derivative of u**7/11340 + u**6/540 + u**5/108 + 7*u**4/24 + 16*u**2. Let x(n) be the second derivative of j(n). Solve x(p) = 0 for p.
-5, -1
Let o(i) be the second derivative of i**4/4 - 2*i**3 - 15*i**2/2 + 7*i - 3. Suppose o(s) = 0. What is s?
-1, 5
Let q = 3989/8 - 19921/40. Factor 0 + 4/5*x + 1/5*x**4 - q*x**3 + 0*x**2.
x*(x - 2)**2*(x + 1)/5
Let 0*u + 0*u**2 - 3/5*u**4 + 1/5*u**5 + 0*u**3 + 0 = 0. Calculate u.
0, 3
Suppose 32 = 4*h - 7*t + 4*t, 2*t + 13 = h. Let u(w) = 4*w - 18. Let x be u(h). Solve 2/7*r**5 - 54/7*r - 36/7*r**x + 2*r**4 + 20/7*r**3 + 54/7 = 0 for r.
-3, 1
Suppose -5*t - 5*t = -210. Suppose -t = 19*j - 26*j. Find y such that -2/3*y + 0 - 10/9*y**j + 2/9*y**4 + 14/9*y**2 = 0.
0, 1, 3
Let z be (-2)/2*1*5. Let r(x) = 1 + 64*x + 52*x - 115*x. Let b(v) = 3*v**2 + 5*v + 2. Let c(t) = z*r(t) + b(t). Determine w, given that c(w) = 0.
-1, 1
Factor 3/2*f**4 + 45/2*f**3 + 21*f**2 + 0*f + 0.
3*f**2*(f + 1)*(f + 14)/2
Suppose -127 + 7 = -5*r. Let o(s) = -2*s**2 + s + 3. Let v(c) = 9*c**2 - 6*c - 15. Let n(t) = r*o(t) + 5*v(t). Determine i so that n(i) = 0.
-1
Let y = -208 - -210. Let l(p) be the first derivative of 0*p**2 + 0*p + 1/16*p**4 + y + 1/12*p**3. Factor l(z).
z**2*(z + 1)/4
Let a(z) be the third derivative of 0*z - 1/1176*z**8 + 1/735*z**7 + 0*z**4 + 0 + 1/420*z**6 - 1/210*z**5 + 21*z**2 + 0*z**3. Factor a(t).
-2*t**2*(t - 1)**2*(t + 1)/7
What is a in -501*a**3 - 1995*a**3 - 478*a**3 - 492*a**3 - 80*a**4 - 31512*a**2 + 3200 + 278*a**3 + 5120*a = 0?
-20, -1/4, 2/5
Let q(z) be the first derivative of 2*z**5/35 - z**4/7 + 89. Factor q(v).
2*v**3*(v - 2)/7
Factor m**2 + 0 + 6/5*m**3 + 0*m + 1/5*m**4.
m**2*(m + 1)*(m + 5)/5
Let q(h) be the first derivative of -8*h**3/3 + 31*h**2 + 16*h + 140. Factor q(d).
-2*(d - 8)*(4*d + 1)
Let y = -15341/3 + 5114. Suppose -1/3*w**3 + 1/6*w**5 + 1/6*w**4 - y*w**2 + 1/6*w + 1/6 = 0. Calculate w.
-1, 1
Factor 0*m**3 - 2/3*m + 0 + m**2 - 1/3*m**4.
-m*(m - 1)**2*(m + 2)/3
Let u(d) be the first derivative of d**6/7 + 57*d**5/35 + 45*d**4/14 - 4*d**3/7 - 48*d**2/7 - 45*d/7 - 98. Let u(g) = 0. Calculate g.
-15/2, -1, 1
Let r(u) be the third derivative of u**5/90 - 13*u**4/36 + 4*u**3/3 + 50*u**2. Suppose r(x) = 0. What is x?
1, 12
Factor 176/3*g - 172/3*g**2 + 0 - 4/3*g**3.
-4*g*(g - 1)*(g + 44)/3
Let r(g) be the third derivative of g**5/45 + 17*g**4/18 + 140*g**3/9 - 6*g**2 + 51. Factor r(y).
4*(y + 7)*(y + 10)/3
Suppose g + 56 = 15*g. Let w be ((-172)/(-42) - g)*(-6)/(-1). Factor -w*b**4 + 4/7*b + 4/7*b**2 - 4/7*b**3 + 0.
-4*b*(b - 1)*(b + 1)**2/7
Let b(n) be the first derivative of n**6/3 + 22*n**5/5 + 18*n**4 + 32*n**3/3 - 64*n**2 + 217. Suppose b(x) = 0. What is x?
-4, 0, 1
Let d = 569/68 + -138/17. Find g, given that -3/4*g**2 + 1/2 + 1/4*g**4 + 1/4*g**3 - d*g = 0.
-2, -1, 1
Let i(m) be the second derivative of m**7/105 - m**6/30 + m**4/6 - m**3/3 + 10*m**2 - m. Let p(o) be the first derivative of i(o). Factor p(b).
2*(b - 1)**3*(b + 1)
Suppose 290 | {
"pile_set_name": "DM Mathematics"
} |
k to the nearest 100000.
1500000
Let g(m) = -m**2 - 5*m + 7. Suppose 0 = 2*q - 4*c + 22, 3 = -3*q - 6*c + 2*c. Let j be g(q). Suppose 3*k + 2880 = j*k. What is k rounded to the nearest 100?
700
Let o = 348 + -144. Let s = o + -204.00000226. What is s rounded to 7 dps?
-0.0000023
Let h = 13 - 6. Suppose -h = -5*j + 8. Suppose -j*k = 2*k - 7300. What is k rounded to the nearest one hundred?
1500
Let j be (4 - 0)/(-2) - -4. Suppose -j*r - 9929 = 3*l + 18871, 0 = -5*r - l - 72000. Round r to the nearest one thousand.
-14000
Let b be -2 + -795000 - (3 - 5). What is b rounded to the nearest one hundred thousand?
-800000
Suppose -5*r = 2*l - 12 - 25, 4*l + r = 29. Let o be (-16)/(-10) + 2/5. Let b be 6753/9 - o/l. Round b to the nearest 100.
800
Let x = -166.7 + 160.756. Let w = -6.2 - x. Let v = w + 0.2. Round v to two dps.
-0.06
Let x = 1.34 - 93.34. Let d = x + 9. Let g = d - -109.6. What is g rounded to zero dps?
27
Suppose z + 24390 = -h - 12593, -2*z = -2*h + 73958. Let b = z - 83019. Round b to the nearest one hundred thousand.
-100000
Let b = -84.35 - -84. Let x = 14.716 - 14.4. Let l = x + b. What is l rounded to 2 dps?
-0.03
Suppose 3*z + 104686 = 24406. What is z rounded to the nearest 10000?
-30000
Suppose -2*x - 101 = 1023. Let h = x - 98. Round h to the nearest one hundred.
-700
Let a = 1.57796 + -1.578. Round a to 5 decimal places.
-0.00004
Let k = -5613.996819 - -5614. What is k rounded to 4 dps?
0.0032
Let n = 32 + -67. Round n to the nearest ten.
-40
Let y = 2743 + -2687.68. Let w = y - 52. Let v = 4.2 - w. Round v to 1 decimal place.
0.9
Let m = -424 - -424.0000306. What is m rounded to 6 dps?
0.000031
Suppose -2*m = -3*f - 3*m + 79203, -4*f + 5*m = -105623. Suppose s - f = 4*r, -r - s - 357 = 6241. What is r rounded to the nearest 1000?
-7000
Let q(i) = i**2 - 8*i + 4. Let d be q(8). Suppose 4*v + 0*v = d. Let r be -3 - v - (2 + 10099994). Round r to the nearest 1000000.
-10000000
Let j = -0.95998206 - -0.96. Round j to 6 decimal places.
0.000018
Let l = -11.2 - -13.28. Let y = l - 2. Let k = y - 0.075. What is k rounded to 3 decimal places?
0.005
Let m = -2931 + 2931.00001409. What is m rounded to six dps?
0.000014
Let t(b) = -153*b - 125. Let h be t(15). What is h rounded to the nearest 100?
-2400
Let n be 10/(-3)*1548/(-24). Suppose 21*s - 16*s + n = 0. Round s to the nearest ten.
-40
Let d = 113 - 114. Let g be 276/6*(-12499 - (0 - d)). Round g to the nearest 10000.
-580000
Let c = -0.8018894 + -8.1981176. Let z = 0 - 9. Let n = c - z. What is n rounded to 6 decimal places?
-0.000007
Suppose -7*h + 705482115 + 237067885 = 0. Round h to the nearest 1000000.
135000000
Suppose -218*a + 230*a = -2280240. What is a rounded to the nearest ten thousand?
-190000
Let y = 15.069 + -43.072. Let u = -28 - y. Round u to two dps.
0
Let t = 7.24 - -1.06. Let m = t + -8.7. What is m rounded to the nearest 10?
0
Let p(m) = 3*m**3 - 13*m**2 - 21*m - 10. Let n be ((-80)/(-6))/((-2)/6). Let y = n - -30. Let q be p(y). Round q to the nearest one thousand.
-4000
Let d = -1421.24 - -1392. Round d to the nearest ten.
-30
Let m = 0.1541 - -906.8459. Let f = m + -905.607. Let i = -1.5 + f. What is i rounded to two dps?
-0.11
Let o = 6 - 6. Suppose o = 5*r - 37178 - 4072. Let w be -6*r/(-4 + 1). What is w rounded to the nearest one thousand?
17000
Suppose -3352 = -7*n - 13. Round n to the nearest one hundred.
500
Suppose -3*m - 5*a + 224660 = -14759, 0 = 5*m - 2*a - 399073. Let b = -19873 + 68686. Let r = m - b. What is r rounded to the nearest ten thousand?
30000
Let p = 0.02 + -17.52. Let m = -16.9519 + -0.0481. Let h = m - p. What is h rounded to 1 decimal place?
0.5
Let n = 324.9308 - 325. Let m = -0.06 - n. What is m rounded to three decimal places?
0.009
Let h = 0.7 + -10.7. Let f = 4 + h. Let u = f - -5.824. What is u rounded to two dps?
-0.18
Let d = -8054479.01000268 + 8054409.01. Let a = 70 + d. Round a to 7 dps.
-0.0000027
Let t = -0.409 + 0.410716. Round t to 4 dps.
0.0017
Let u = -31 - -34. Suppose -2*a = -y - u*y - 3928, 2*a + 2932 = -3*y. What is y rounded to the nearest 100?
-1000
Let z = -15 + 17. Suppose -3*w = 5*l - 1, -l + 11 - z = 5*w. Round w to 0 dps.
2
Let c = -0.32 + 0.501. Let m = c - 0.126. Round m to two dps.
0.06
Let y = 3472 + -3471.99992558. What is y rounded to six dps?
0.000074
Let t = -17.901099 - -17.9. What is t rounded to 4 decimal places?
-0.0011
Let c(b) = 2*b**2 + 12*b + 16. Let n be c(-8). Let a be -2*(395/2)/((-8)/n). What is a rounded to the nearest 1000?
2000
Suppose 270000000 = -13*j - 2*j. What is j rounded to the nearest one million?
-18000000
Let c(o) be the third derivative of 493*o**6/60 + o**4/6 + 2*o**3/3 - 2*o**2 + 7*o. Let b be c(2). What is b rounded to the nearest one thousand?
8000
Let v = 176 + -175.998545. What is v rounded to 4 dps?
0.0015
Let u = 31116 - 61866. Round u to the nearest one thousand.
-31000
Let h = 132 + -136.2. Let m = h - -4.200045. What is m rounded to five decimal places?
0.00005
Let x(o) = 5835975*o**2 - 124*o + 5. Let p be x(-5). What is p rounded to the nearest 1000000?
146000000
Let j(h) = -48*h - 14. Let f = 9 - 6. Let c be -4 - -19 - 1*f. Let d be j(c). What is d rounded to the nearest 100?
-600
Let b = 8.19508 + -8.2. What is b rounded to four dps?
-0.0049
Let j = 38 + -34. Suppose 6 = -3*o, 0 = -7*c + 6*c - j*o + 11799992. What is c rounded to the nearest 1000000?
12000000
Let n = 0.0922887 - -60.9124113. Let a = n - 61. Round a to 3 dps.
0.005
Suppose -7*c = 6*c - 52. Suppose 4*o - 376 = -4*s, 0*o + 379 = c*o + s. What is o rounded to the nearest 100?
100
Suppose 3*v + 2*p = 3*p + 4, -5*v - p = -20. Suppose -12*f - 8*f = -80. Suppose z - 1700008 = 2*k, k = v*z + f*k - 5099988. Round z to the nearest one million.
2000000
Let d = -1642 + 1641.94339. Round d to three decimal places.
-0.057
Let v = -3331.000002403 - -3331. Round v to 7 dps.
-0.0000024
Let d be (-12360001)/(-6) - (-9)/(-54). Suppose 0*y + 2*y = -d. What is y rounded to the nearest 100000?
-1000000
Let k = 505 - 807. Let j = -302.695 - k. Let a = j - -0.7. Round a to 3 decimal places.
0.005
Suppose 0 = 3*x + 2*z - 2505, x - 1663 = -x + z. Round x to the nearest one thousand.
1000
Let b(a) = -16477*a**3 + 12*a**2 - 8*a - 11. Let x be b(-3). Round x to the nearest ten thousand.
450000
Suppose -202268 - 16331742 = -5*q. Suppose 0 = -t + 6*t - 10834010. Let j = q - t. Round j to the nearest 100000.
1100000
Let x = -106 + 106. Let m = 0.70000004 + -0.7. Let w = m + x. What is w rounded to seven decimal places?
0
Let q = -462 + -345. What is q rounded to the nearest 100?
-800
Let j = -11.5464 - -11.6. Let v = j + -0.06. What is v rounded to three dps?
-0.006
Let o = -0.274 + 23.244. What is o rounded to one dp?
23
Let b(j) = 7 - 8 + 1 - 1297543*j**2 + 3*j. Let i be b(2). Let l = i - -11390166. What is l rounded to the nearest one million?
6000000
Let h = -303.99574 + 304. Round h to four decimal places.
0.0043
Let d = 551.077 - 550. Let p = -147 + 147.107. Let a = p - d. Round a to one decimal place.
-1
Let l = 40.8537 + -40.9. What is l rounded to two dps?
-0.05
Let s(j) = -290*j**2 - 11*j - 11. Let q = 36 + -54. Let l = q + 27. Let p be s(l). Round p to the nearest one thousand.
-24000
Let f = 12.23 - 10.46. What is f rounded to 1 decimal place?
1.8
Let l = -5.01 - -0.01. Let o = -43 - l. Let r = o - -37.99977. What is r rounded to four decimal places?
-0.0002
Let v = -7829903998 - -7829904157.75266761. Let z = v + -145.9526682. Let x = z + -13.8. What is x rounded to 7 decimal places?
-0.0000006
Let q = 0.321 - 0.33375. Round q to four decimal places.
-0.0128
Let u = -0.00267 - -0.0037. What is u rounded to 4 dps?
0.001
Let y = -2.509 + 20.299. Let t = 18 - y. Round t to 1 dp.
0.2
Let b(u) = u**3 - 4*u**2 - 5*u + 3. Let t be b(5). Suppose -t*f + 34663755 + 72598758 = 0. Let c = 50854171 - f. What is c rounded to the nearest 1000000?
15000000
Let j = 954.2 + -1146. Let i = j + 231.96. Let t = 39 - i. What is t rounded to 1 dp?
-1.2
Let b = -5 - -5.00000448. What is b rounded to 6 dps?
0.000004
Let u be 20/30 + (-32)/(-6). Let x be (16/6)/((-4)/u). Let b be 2000*22/x*2. Round b to the nearest ten thousand.
-20000
Let v = 841387212294787.31000302 + -841387129949328. Let x = v + -82345460. Let i = x + 0.69. | {
"pile_set_name": "DM Mathematics"
} |
15/4))**(-1/28)/(m**(-20)*m**(-1/13)) assuming m is positive.
m**(28985/1456)
Simplify ((z**(2/11)/((z**(3/8)/z)/z))**(-2/5))**(-9) assuming z is positive.
z**(1431/220)
Simplify ((p*p*(p**6*p)/p*p*p)/p)**(-7/4)/(p**(3/7)*p/p**5) assuming p is positive.
p**(-341/28)
Simplify h/(h/((h**(-12)*h)/h))*h**2*h**2*h*h*h/((h/(h**(-2/5)/h))/h) assuming h is positive.
h**(-32/5)
Simplify (k/k**(2/5)*k)**10*k**13*k**(-2/11) assuming k is positive.
k**(317/11)
Simplify (i**(-1)/i*i)/(i*i/i**(2/35))*i*i**(5/2)*i/i**(1/6) assuming i is positive.
i**(146/105)
Simplify (q**(-8)*q**(-1/4))/((q*q**(-1/3))/(q/(q*q**(-2/3)/q)*q)) assuming q is positive.
q**(-25/4)
Simplify ((w/w**1*w/(w*w**(1/3))*w)**(9/2))**(-1/50) assuming w is positive.
w**(-3/50)
Simplify a**8/a**(1/3)*(a/a**(4/5))/(a/(a**(-20)*a)) assuming a is positive.
a**(-182/15)
Simplify (a**(9/7)*a*a**11)/(a/((a**6/a)/a))**(1/24) assuming a is positive.
a**(751/56)
Simplify (q**(-6))**(-3/5)/(q**(-22)*q/(q/q**(-3/7))) assuming q is positive.
q**(911/35)
Simplify (o**(-7)*o**(-1/2)*o)/(o**5)**13 assuming o is positive.
o**(-143/2)
Simplify i*i**0*i/(i**(7/6)*i)*i**8*i/i**(-18) assuming i is positive.
i**(161/6)
Simplify (r**(1/4)*r**(1/7)*r*(r**1)**(-2/3))**(2/85) assuming r is positive.
r**(61/3570)
Simplify (h**(-2/11))**(2/73)/((h/(h**(-2/55)/h)*h*h)/h*h**(-13)) assuming h is positive.
h**(39984/4015)
Simplify (((d/(d/(d**(-6)*d))*d)/d*d*(d**(-6)/d)/d)/(d**(-1/5)/d**(2/15)))**(-36) assuming d is positive.
d**420
Simplify (d**(-17))**29*d**1*d**(-4/5)/d assuming d is positive.
d**(-2469/5)
Simplify ((r**(2/3)*r)**(-16)/(r**3*r/(r**(-3)/r)*r))**(-32) assuming r is positive.
r**(3424/3)
Simplify (((o**(-3/11)/o)/o**(2/39))**(-1/23))**(-27) assuming o is positive.
o**(-5112/3289)
Simplify (u/(u*u**5))**37*(u/(u**(-1/3)/u))/(u**(2/45)/u) assuming u is positive.
u**(-8177/45)
Simplify (p**0)**(-17/3)/(p**14*p**13*p) assuming p is positive.
p**(-28)
Simplify (t**34/(t**16*t))/(t/t**25)**(-21) assuming t is positive.
t**(-487)
Simplify (b**(-5))**(15/7)*(b**(-3/2)/b*b)/b*b**29 assuming b is positive.
b**(221/14)
Simplify (x*(x**(-5/3)/x)/x*x)**(-2/107)*(x**(1/2)*x)**(2/57) assuming x is positive.
x**(511/6099)
Simplify (f**(2/3)*f)**(-23/4)/(f**6)**(-50) assuming f is positive.
f**(3485/12)
Simplify z**2/(z*((z**27*z*z)/z*z)/z)*z**(-5/7)*z**(-5/3) assuming z is positive.
z**(-617/21)
Simplify (h**(-12)*h*h*h*h**(-33)/h)**(-2/29) assuming h is positive.
h**(86/29)
Simplify (d**(-1)*d)/(d/(d/(d**(-1/3)*d)))*(d**0/d*d)**0 assuming d is positive.
d**(-2/3)
Simplify ((d**(1/7)/d)/d)**(-1/4)/((((d/d**(2/3))/d)/d)/((d*d**(1/3)*d)/d)) assuming d is positive.
d**(97/28)
Simplify (((c*c**2)/(c*c**(-2/7)))**(-7))**(-30) assuming c is positive.
c**480
Simplify ((j*j**(-3)*j**(2/11))/(j**(-2/3)*j)**(-1))**(-4/5) assuming j is positive.
j**(196/165)
Simplify (u**(-5/2)/(u**(1/4)/u))/(u**(-2/3)*u)**(-15) assuming u is positive.
u**(13/4)
Simplify ((l*l**(2/9))/l*l**(-13))/(l*l*l*l**4/l)**(-38) assuming l is positive.
l**(1937/9)
Simplify (d*d**(-15)/d*(d/(d*(d*(d*d/((d**(-19)/d)/d))/d*d*d*d*d)/d))/d)/(d/(d/d**(-1/5)*d)*d*d/d**14) assuming d is positive.
d**(-144/5)
Simplify ((s*(s**(2/5)*s)/s*s*s)**(-2/73)/(s*s**2*s*s*s**13*s*s))**44 assuming s is positive.
s**(-322696/365)
Simplify g**11/g*g*((g*g/g**(-1/8))/g)/g*(g*g*g**(3/7))/(g*g*g**15/g*g) assuming g is positive.
g**(-193/56)
Simplify ((l/(l**(-5)/l))/(l*l**0))/(l**(-13)*(l/((((l*l**(-8))/l)/l)/l))/l) assuming l is positive.
l**9
Simplify ((l*l**(-1/7))/l)**(3/10)*(l**(2/11))**(-48) assuming l is positive.
l**(-6753/770)
Simplify (((h/h**(-15/8))/h)/h)/h**10*h**(2/11)/h**(13/2) assuming h is positive.
h**(-1359/88)
Simplify ((l**21*l*(l**(-15)/l)/l)**(-50))**(-1/13) assuming l is positive.
l**(250/13)
Simplify (h*h*h**4*h*h*h)/h*h*h**(-7)*(h*h*h**1)**(-2/11) assuming h is positive.
h**(16/11)
Simplify (n**(-10)*n*(n/(n*n**2*n))/n*n*n)/((n/((n/(n/(n*n/(n**(-1/18)/n))*n))/n))/n**(-3/10)) assuming n is positive.
n**(-506/45)
Simplify (n/((n**(-12)/n)/n)*n*n/n**15*n)/((n/n**(12/13))/n*n*n**(-27)) assuming n is positive.
n**(389/13)
Simplify (n/(n**5*n)*n**(1/2)*n*(n**(-1/11)/n*n)/(n/n**(2/5)))**(-13) assuming n is positive.
n**(5993/110)
Simplify ((((m**1*m*m)/m)/m)/m)**(-35)*(m*m*m*m**(1/4))**5 assuming m is positive.
m**(65/4)
Simplify (b**(1/4)*b)**16*(b/((b**(1/6)*b)/b))/b**(2/17) assuming b is positive.
b**(2113/102)
Simplify (d**(1/5)*(d/(d/((d*(d**(-1)/d*d*d*d)/d)/d)))/d*(d**2)**(1/26))**(2/45) assuming d is positive.
d**(-94/2925)
Simplify ((z**(-2/21)/((z*z**(3/14)*z)/z))/(z/z**(-2/7))**(-39))**(-6/5) assuming z is positive.
z**(-293/5)
Simplify (t**3*t**(-9)*t**(-11)*t*(t/t**(-4/7))/t)**(-26) assuming t is positive.
t**(2808/7)
Simplify (q/q**(2/7))**(-3/4)*(q*q**(-7))/(q**(-1/4)/q*q) assuming q is positive.
q**(-44/7)
Simplify (p*p/p**(-2/9)*p)**(-3/31)*p*p**(7/3)*p**(-4) assuming p is positive.
p**(-91/93)
Simplify (((x**(2/3))**5)**(1/7))**(-27) assuming x is positive.
x**(-90/7)
Simplify c**(-1/13)/c**(1/2)*c/(c*c/(c*c/(c**(-1/15)/c)*c))*c**(-11) assuming c is positive.
c**(-3319/390)
Simplify (l**(9/4)*l*l**5)**(-2/25) assuming l is positive.
l**(-33/50)
Simplify (i/(i/(i/(i/(i/i**(-3)*i)))*i)*i)**(-1/46)*(i*i/i**1*i)**43 assuming i is positive.
i**(3951/46)
Simplify ((u/u**(-4/7))/(u*u**(2/47)/u))/(u**8*u**(-11)) assuming u is positive.
u**(1490/329)
Simplify ((t**(-6)/(t*((t/t**(-2))/t)/t*t*t))/(t**(-2/7)*t/(t*t/(t*(t/t**5*t*t)/t*t))))**(-2/45) assuming t is positive.
t**(12/35)
Simplify ((p**(-4)/(p**1/p))**(-44))**(-7/4) assuming p is positive.
p**(-308)
Simplify (((o*(o/(o*o**(2/9)))/o)**(1/12))**5)**39 assuming o is positive.
o**(-65/18)
Simplify ((a*a**(2/3)/a*a)**(-17)*(a/(a**8/a)*a)/a**(-4/3))**34 assuming a is positive.
a**(-1088)
Simplify ((h*h/(h*h/(h**(-2/9)/h))*h/h**8)/(h/(h**(-3/2)*h)*(h**(-4)/h)/h))**(-42) assuming h is positive.
h**(469/3)
Simplify ((f/(f*(f**5/f)/f))/f*f**(-3)*(f**(-4)/f)/f**(-5))**(-43) assuming f is positive.
f**301
Simplify (a/a**18)**(-20)*(a**(-1)*a)/a**(-2) assuming a is positive.
a**342
Simplify (f**(-3/11)*f**(7/5))/((f**(2/13)/f)/(f*f*f*f**7)) assuming f is positive.
f**(8561/715)
Simplify ((t/(t/t**(-8/7)*t*t)*t)/t**(-13))/(t**(-4/3)*t*t*t/(t**1/t)) assuming t is positive.
t**(193/21)
Simplify (w**(4/5))**(6/13)/((w*w**(-1/14))/((w/w**25*w)/w)) assuming w is positive.
w**(-22349/910)
Simplify (((h*h**(-1/12))/(h/(h/((h**2/h)/h))*h))/(h/h**(-3))**(-20))**(-39) assuming h is positive.
h**(-12467/4)
Simplify t**(3/10)*t/t**(1/16)*t/t**(4/5)*t**(-6/13) assuming t is positive.
t**(203/208)
Simplify t*t/t**(-1/11)*t/t**(3/17)*t*t*t**(-8/5)*t**12/t assuming t is positive.
t**(13384/935)
Simplify (u**(3/11)*u/(u*(u/u**(-18)*u)/u*u)*u)/(u**18*u/u**(19/2)) assuming u is positive.
u**(-621/22)
Simplify (q/(q/(q*(q*q/q**22*q)/q)))/q*((((((q/q**(-3/4))/q)/q)/q*q)/q*q)/q)/q*q*q**0*q*q**7 assuming q is positive.
q**(-53/4)
Simplify (r**(-27))**(-11/4)/(r**(-29)*(r*r**41*r)/r) assuming r is positive.
r**(245/4)
Simplify ((u**(2/7))**(-1)/(u**(-1/2)*u*(u/(u*u*u*u*u/(u*u**(-8))))/u*u))**23 assuming u is positive.
u**(3289/14)
Simplify ((y*y**(-2/13))/y*y**2)/((y**(18/13)/y)/(y**23*y)) assuming y is positive.
y**(331/13)
Simplify g/g**(2/3)*g**(1/2)*(((g/(g*g*g*g**(-8/3)/g*g))/g)/g*g*g)**(-8) assuming g is positive.
g**(-9/2)
Simplify (h*h**(-5/2)/h)**(40/9)*h**(-30)/h**(-27) assuming h is positive.
h**(-127/9)
Simplify ((t**(2/23)/t)**(4/3))**18 assuming t is positive.
t**(-504/23)
Simplify ((u/(u/u**(-2)*u*u)*u*u*u)**(1/10)/(u**(1/3))**(-1/52))**(2/45) assuming u is positive.
u**(-73/17550)
Simplify ((t*t**(-2/15))/(t*t**(4/3)))/(t/((t/(t/t**(-9)))/t))**30 assuming t is positive.
t**(-4972/15)
Simplify g**(-1)/g*g*g**(-8)*g**(1/4)*g**(-1/2) assuming g is positive.
g**(-37/4)
Simplify (((c/c**3)/(c/c**(1/7)))/(c*c*(c*c/(c**0/c))/c)**(3/5))**(-9/8) assuming c is positive.
c**(207/35)
Simplify (((q**8/q*q)/(q*q*q/(q*q**(2/3)*q)))/(q/((q/q**(-1))/q)*q)**(1/17))**(-4) assuming q is positive.
q**(-1552/51)
Simplify (((u/u**(1/4))/(u*(u/(u/((u/(u**(3/5)*u))/u)))/u*u))/(u*u*u**(1/4))**32)**(11/3) assuming u is positive.
u**(-5181/20)
Simplify (((h/(((h*h**(-20))/h)/h))/h**(2/15))**(4/3))**(-13/3) assuming h is positive.
h**(-17056/1 | {
"pile_set_name": "DM Mathematics"
} |
+ 8*s**3 + (-s**2 - 5*s**2 + 4*s**2)*(0*s - 4*s + 2*s))*(-2*s**2 + s**2 + 2*s**2).
17*s**5
Expand (-1090*k**2 + 5*k**5 + 547*k**2 + 547*k**2 - 10*k)*(-1 - 3 + 2).
-10*k**5 - 8*k**2 + 20*k
Expand 0*l**3 - 2*l**3 + 4*l**3 + (-2 + 0 - 2)*(-8*l**3 + 0*l**3 + 2*l**3) + l - l + 2*l**3 + 1 + 2*l**3 - 1.
30*l**3
Expand (p**2 - 5*p**2 + 2*p**2)*(-p**3 - 4*p + 4*p + (-5 + 5 - 2*p**2)*(44 - 44 - 11*p)).
-42*p**5
Expand 3*b**5 - 4*b**5 - b**5 + (-b**3 + 2*b**3 - 8*b**3)*(6 + 9*b**2 - 6) + (b**2 - 5*b**2 + 2*b**2)*(-2*b**3 - 2*b**3 + b**3).
-59*b**5
Expand (-16*i - 11*i + 30*i + 38)*(3*i - i - i)*(-i + i - 3*i).
-9*i**3 - 114*i**2
Expand (-65 - 142*u + 65)*(1 + 0 + 0) - 2*u + 5*u - 5*u.
-144*u
Expand (-17 + 6 - 14*u + 5)*(-u**4 + 3*u**4 - u**4) + (-u**2 + 2*u**2 + 0*u**2)*(-4*u**3 + 3*u**3 - u**3).
-16*u**5 - 6*u**4
Expand (3*a - 17*a - a)*(-2*a**2 - 6*a - 2 + 18*a - 9*a).
30*a**3 - 45*a**2 + 30*a
Expand (3*f**2 + 2 - 4*f**2 - 2*f**2)*(-f + 2*f - 3*f).
6*f**3 - 4*f
Expand (-5*f**2 + 0*f**2 - 16*f**2)*(-2 + 7 - 2)*(-2 - 5 + 1) + 4*f**2 - 4*f**2 - 2*f**2.
376*f**2
Expand (-5*r**2 + 8*r**2 + 4*r**2)*(-3*r**3 - 12*r**3 - 12*r**3).
-189*r**5
Expand -2*v**2 + v**3 + 2*v**2 + (-17*v + 67 - 67)*(3*v - 3*v + 2*v**2) + (0*v**2 - 2*v**2 + 3*v**2)*(0*v + v + v) + 6*v**3 + v**3 - 3*v**3.
-27*v**3
Expand (5*z**2 - 5*z**2 + 5*z**3)*(1 + 1 - 3)*(11*z - z**2 - 11*z) - z**5 - 3*z**5 + 2*z**5.
3*z**5
Expand 47*m**4 - 48*m**4 + 36*m**4 + 1 - 1 - 2*m**4 + (-2*m**3 + 4 - 4)*(0*m - 2*m - m).
39*m**4
Expand (-4 + 3 - 1)*(4 + 2 - 4)*((-v + v + 2*v)*(2 - 4 + 4) - 5*v + 0*v + 4*v + (v - 4*v + v)*(-13 - 1 + 0)).
-124*v
Expand 2*h**3 + 1 - 1 + (-h - 5*h + h)*(-2*h**2 - 3 + 3) + 12*h**3 + 4*h**2 + 8*h - 3*h**2 - 10*h.
24*h**3 + h**2 - 2*h
Expand (-4*s + 2*s - s)*(-8 - 9 + 0) + (2 + 0 - 4)*(3*s + 2*s - 4*s).
49*s
Expand (3*m + m - 3*m)*(-3 + 4 - 2) + (45 - 49 - 39)*(-4*m + 5*m + 2*m).
-130*m
Expand (4*r - 2*r - 3*r)*(86 - 251 - 1497).
1662*r
Expand (-3*i + i + 5*i)*(-16*i**3 + 4*i**3 - 5*i**3) + (1 - 2 + 2)*(4*i**4 - 4 + 4).
-47*i**4
Expand (-3 + 12 + 2)*(163*m**2 - 5 - 79*m**2 - 81*m**2).
33*m**2 - 55
Expand (9 - 29 - 1 + (-4 + 2 + 0)*(1 - 1 - 2) - 1 + 1 - 5)*(2*w - 2*w - w**3).
22*w**3
Expand -3*s**5 - 2*s**5 - s**5 + (0*s**4 - s**4 + 5*s**4)*(7*s + 3 - 3).
22*s**5
Expand (-6*m + 5 - 5)*(-22*m - 32*m**2 + 22*m).
192*m**3
Expand (13*t - 8*t + 0*t)*(-1 - 45 + 12).
-170*t
Expand (130 - 21*u - 130)*((1 - 1 + u)*(3*u + u - 2*u) + 12*u**2 + 4*u**2 - 7*u**2).
-231*u**3
Expand (-138*y - 159*y + 302*y + 52)*(0*y - 2*y + y)*(3 - 2*y - 3).
10*y**3 + 104*y**2
Expand (-j**2 + 3*j**2 + 0*j**2)*(10*j - 75*j + 5*j)*(-1 + 1 - 4*j).
480*j**4
Expand (-328*l**2 + 6*l**4 - 4*l**4 - 10*l**3 + 329*l**2)*(0 + 4 - 3).
2*l**4 - 10*l**3 + l**2
Expand (-289 + 38*m + 289)*(m + m - 6*m)*(-4*m + 3*m + 0*m).
152*m**3
Expand (115*v**2 - 230*v**2 - 93*v**2 + (v - 2*v + 0*v)*(3*v + v - 5*v))*(5*v**3 - 6*v**3 + 3*v**3).
-414*v**5
Expand (23*s**3 + 3*s**3 + 0*s**3)*(-7 + 2 + 3) + 0*s**3 + 0*s**3 - 3*s**3.
-55*s**3
Expand (0 + 0 - h)*(41*h**3 - 136*h**2 + 136*h**2) + (0 + 0 + h)*(-8*h**3 + 2*h**3 + 0*h**3).
-47*h**4
Expand (1 - 1 + 4*b**3)*(10 - 17 - 139*b + 6).
-556*b**4 - 4*b**3
Expand (-2 + 2 + 9*d)*(-20 - 7 - 9).
-324*d
Expand (2 - 1 + 0)*(-21 + 42 + 2*g - 26 + (0*g + 0*g - g)*(-1 - 1 + 7) + 3*g - g - 3*g).
-4*g - 5
Expand (0*i - 3*i - i + (2 - 2 - 1)*(-2*i + 8*i + 0*i) + 0*i + 2*i - 3*i)*(-2 - 1 + 2)*(0 + 2 - 3).
-11*i
Expand (-28*j + 18*j - 13*j)*(-j + 4*j - 2*j) - 4 + 5 + j**2 + 4.
-22*j**2 + 5
Expand (1 + 0*b + 3*b + 0*b)*(-14*b - 38*b - 15*b).
-201*b**2 - 67*b
Expand (-8*v - 5*v + 4*v)*(0*v + 3*v + 4*v).
-63*v**2
Expand (-5 + 1 + 2)*(599*q**3 - 16*q + 1 + 17*q - 6*q**2 - 596*q**3).
-6*q**3 + 12*q**2 - 2*q - 2
Expand (-46 - 276 - 10 - 37)*(-2 - 3*u + 2).
1107*u
Expand (1 - 1 + 2*l)*(-31*l**3 + 229*l**3 + l**3) + (l**3 + 2*l**3 - 4*l**3)*(1 - 2*l - 1).
400*l**4
Expand (0*d - 2*d + d)*(-3*d**2 + 4*d**2 + d**2) + 2*d**3 + 2*d**3 + 2*d**3.
4*d**3
Expand (-17*y**2 + 6*y**2 + 0*y**2 + (3 - 2*y - 3)*(2*y - 5*y + y))*(-4 - 1 + 4 + (-1 - 2 + 4)*(2 - 2 + 4)).
-21*y**2
Expand (-7*k + 15*k + 3 - 7*k)*(k + k - 8*k + (3*k - 4*k + 0*k)*(-4 + 2 + 4) + 1 + k - 1).
-7*k**2 - 21*k
Expand f + 5*f - 5*f - f + 3*f - f + (0 + 0 + 2)*(-4*f - 2*f + 4*f) + 2*f - 5*f + 4*f - f + f - 2*f + (2*f + 2*f + 4*f)*(-3 + 7 + 2)*(-1 + 1 + 2).
93*f
Expand (8*y**3 - 8*y**3 + y**4 + (3*y - 15*y - 3*y)*(y**3 + 0*y**3 - 3*y**3))*(-6 + 1 + 3).
-62*y**4
Expand (11*x - 11*x + 2*x**2)*(9 - 8 - 4).
-6*x**2
Expand (-40 + 40 - 14*b)*(-8*b - 5*b - 5*b + 2).
252*b**2 - 28*b
Expand (3*h**2 - 3*h**2 + 2*h**3 + (0 - 2*h + 0)*(0*h**2 + h**2 + h**2))*(-5*h + 1 - 1)*(-7*h + 9*h - 3*h).
-10*h**5
Expand (0*n - 2*n + 0*n)*(-3 - 6 - 3)*(-4 + 59 + 24).
1896*n
Expand (16 - j - 20 - 22)*(0*j + 3*j - 2*j).
-j**2 - 26*j
Expand 1 - 1 + 3*y**3 + (-y**3 - 5*y**2 + 5*y**2)*(-2 - 4 + 5) - 2*y**2 + 403*y**3 - 378*y**3 + 0*y**2.
29*y**3 - 2*y**2
Expand (-2*i + 5*i - i)*(-34 + 104 + 29)*(2 + 1 - 2)*(3*i + 2 - 2).
594*i**2
Expand -2*g - g + 2*g + (-2 + 7 - 2)*(-2*g + 0 + 0) + (2 - 1 + 0)*(-2*g + 2*g - 2*g).
-9*g
Expand (-u**2 + u**2 - u**2)*(-2 + 4 + 1)*(174*u**3 - 307*u**3 + 154*u**3)*(-4 - 3 + 5).
126*u**5
Expand (-1 - 1 + 5)*(1 + 2 - 2)*(6*o**2 - 10*o**2 - 2*o**3 - 12*o**2).
-6*o**3 - 48*o**2
Expand (-o**4 + o**4 - 3*o**4)*(4 - 4 + o) + (-2*o**4 + 0*o**4 + o**4)*(o - 7 + 7) + 2*o**5 - 2*o**4 + 2*o**4 + (3*o - 4*o - o)*(o - o - 2*o**4).
2*o**5
Expand (3*b**2 + 2*b**2 - 4*b**2 + (0*b - 3*b + 4*b)*(-3*b - 4*b + 3*b))*(-75*b - 68*b + 113*b + (4 - 1 - 1)*(-5*b + 5*b - b)).
96*b**3
Expand (480*n + 43*n - 160*n)*(-6 + 4 + 1)*(0*n + 4*n - 3*n).
-363*n**2
Expand (2*v + v - 4*v + (-1 + 1 + 1)*(0*v + 3*v - 6*v))*(-19 + v + 8 + 9).
-4*v**2 + 8*v
Expand t**4 - t**4 - t**4 + (2 - 5 + 1)*(t**4 + 2*t**4 - 5*t**4) + 3*t**4 - 5*t**4 + 4*t**4 + t**4 + 0 + 0 - t**4 + 4*t**4 - 5*t**4 + 3*t - 2*t**4 + 0*t**4 - t.
2*t**4 + 2*t
Expand (1 - 1 - x**3)*(-2 + 2 - x**2 + (-16*x - 18*x + 13*x)*(-4*x + x + x) + 16*x**2 + 24*x - 24*x).
-57*x**5
Expand (7*s**4 - 5*s**4 + 7*s**4)*(8*s - 7*s + 6 + 8).
9*s**5 + 126*s**4
Expand 4*i**4 - i**4 - i**4 - 60*i**4 - 4*i**4 + 14*i**4 + (-2*i**2 + 4*i**2 - 3*i**2)*(2*i**2 - i**2 + i**2).
-50*i**4
Expand (-q**3 - q + q + (1 + 3 - 1)*(q**3 + 0*q**2 + 0*q**2) - 3*q**3 - q**3 + 5*q**3)*(20 - 20 - 11*q).
-33*q**4
Expand 57*g - 18*g - 20*g + (-2 + g + 2)*(-5 + 3 + 4) + 2 - 2 + 4*g.
25*g
Expand -2*b - 4*b + 5*b + (265*b - 28 + 28)*(3 - 3 - 1).
-266*b
Expand (0 + 0 + 2)*(-w - 8 + 8) - 3*w + 7*w - 16*w.
-14*w
Expand (-6*d + 114189*d**2 - 2 + 4*d - 114273*d**2)*(3*d - d - 4*d).
168*d**3 + 4*d**2 + 4*d
Expand 5*a**2 - 5*a + 5*a + (-1 + 0 + 3)*(9*a**2 - 4*a**2 + 5*a**2) - 2*a**2 + 5*a**2 - a**2.
27*a**2
Expand (n - 2 + 2 + 3)*(-29 - 50 + 1).
-78*n - 234
Expand (4 + 12 - 6)*(0*d - 2*d + 0*d + (5 + 2 - 2)*(0*d + 0*d + d)).
30*d
Expand (1 + 2*t**3 - 1)*(0*t**2 - 3*t**2 + t**2) + 8*t**5 + 27*t**5 + 2*t**5 - 2*t + 2*t + t**5.
34*t**5
Expand 140*a**2 - 140*a**2 - 18*a**3 + (-4*a**2 - a**2 + 4*a**2)*(3 + a - 3) + (-3*a + 5 - 5)*(-3*a + 3*a + 2*a**2) + a - a + 3*a**3.
-22*a**3
Expand -16 + 9452*j**3 + 5*j**4 - 9452*j**3 + (2*j**2 - 4*j**2 + j**2)*(2 - 2 + 2*j**2).
3*j**4 - 16
Expand (c - 4*c + 5*c)*(c**2 - 2*c**2 - c**2) + 1092 - 1090 - 95*c**3 + 92*c**3 + 25*c**2 + 4*c**3 - 4*c**3 - c**3 + (3*c + 2*c**2 - 3*c)*(c - 2*c - c).
-12*c**3 + 25*c**2 + 2
Expand ((1 + 2*r - 1)*(-2*r - 2 + 2) + 1 - 2*r**2 - 1 + 0 + 0 - 4*r**2)*(-80 + 80 - 18*r**3).
180*r**5
Expand (0*j**3 + 0*j**3 - 2*j**3)*(-44*j**2 + 26*j**2 - 46*j**2).
128*j**5
Expand (1 + 2*h - 1)*(3*h**3 - h**3 - 3*h**3)*(-11 + 11 - 9*h).
18*h**5
Expand (5 + 2 - 6 - w - 5 - 3*w + 5 + (1 + 0 + 0)*(2*w - w - 2*w) - 1 + 1 - 2*w)*(110*w - 110*w + 25*w**3).
-175*w**4 + 25*w**3
Expand (-71*f**3 + 45*f**3 + 55*f**3)*((-f**2 + 3*f**2 - 3*f**2)*(0 + 0 - 2) - 3 + 3 - f**2 + 2 + 2*f**2 - 2 - f**2 + 4*f - 4*f).
58*f**5
Expand (-13*q + q + 2*q)*(8 - 6 + 4)*(2 - 2*q - 2)*(-q**2 - q**2 - 3*q**2).
-600*q**4
Expand -4*r + 4*r - 6*r**4 + (1 + 2 + 0)*(-3*r + r**4 + 3*r) + 3*r**4 - r**4 + 6*r**4 + 2*r**4 - 2*r**4 - 2*r**4.
3*r**4
Expand (-4 + 5 - 2)*(466 + 14137*g - 7069*g - 7066*g).
-2*g - 466
Expand (c**2 + 2*c**2 - 4*c**2)*(3 - 6 + 0)*(-3*c + 2*c - 8*c).
-27*c**3 | {
"pile_set_name": "DM Mathematics"
} |
d without replacement from fkkkkfdgkgkkuaa?
1/455
Four letters picked without replacement from dzrzddrzrrzddr. Give prob of picking 1 d and 3 r.
50/1001
Two letters picked without replacement from jpyvpj. Give prob of picking 2 j.
1/15
What is prob of picking 2 a and 1 q when three letters picked without replacement from odqrmaa?
1/35
What is prob of picking 3 s when three letters picked without replacement from {z: 1, f: 3, s: 6, x: 4, b: 1, p: 1}?
1/28
What is prob of picking 3 a and 1 e when four letters picked without replacement from yyauuuayyyyeyuuua?
1/2380
What is prob of picking 4 g when four letters picked without replacement from ggqgqgggqggggggggg?
91/204
Four letters picked without replacement from ddkkddgg. Give prob of picking 3 d and 1 g.
4/35
Two letters picked without replacement from ggxnsnyx. What is prob of picking 1 y and 1 g?
1/14
What is prob of picking 1 f, 1 k, and 2 l when four letters picked without replacement from flzlzizlzzkflf?
18/1001
Four letters picked without replacement from {s: 4, w: 10}. What is prob of picking 4 w?
30/143
Two letters picked without replacement from {e: 1, b: 2}. Give prob of picking 2 b.
1/3
Three letters picked without replacement from iiiwiwiiiiiwwiwdi. Give prob of picking 1 d, 1 i, and 1 w.
11/136
What is prob of picking 1 z and 1 h when two letters picked without replacement from zhz?
2/3
What is prob of picking 1 j and 1 u when two letters picked without replacement from ufhhrrj?
1/21
Two letters picked without replacement from obfbfoddfobofbo. Give prob of picking 1 f and 1 b.
16/105
Four letters picked without replacement from {m: 2, b: 3}. Give prob of picking 1 m and 3 b.
2/5
Calculate prob of picking 1 s and 2 r when three letters picked without replacement from {r: 1, s: 1, y: 1}.
0
What is prob of picking 2 p and 2 v when four letters picked without replacement from {v: 10, p: 4, z: 4, a: 1}?
45/646
Two letters picked without replacement from {v: 2, d: 3, k: 2, p: 5}. Give prob of picking 2 p.
5/33
Two letters picked without replacement from iiriiry. Give prob of picking 2 r.
1/21
Calculate prob of picking 1 q and 1 d when two letters picked without replacement from vvlvkvddhklq.
1/33
Two letters picked without replacement from amn. Give prob of picking 1 n and 1 a.
1/3
Calculate prob of picking 2 s when two letters picked without replacement from nsnnosnnnosoonnsn.
3/68
Two letters picked without replacement from fxfxxsjkx. Give prob of picking 1 x and 1 k.
1/9
What is prob of picking 1 j and 1 x when two letters picked without replacement from {x: 2, j: 5, y: 1, v: 7, b: 1}?
1/12
Three letters picked without replacement from hhojoonnhmmh. Give prob of picking 1 n, 1 m, and 1 o.
3/55
What is prob of picking 2 b and 1 k when three letters picked without replacement from {k: 2, b: 10}?
9/22
Three letters picked without replacement from bwvvvbbbb. Give prob of picking 1 w and 2 v.
1/28
What is prob of picking 3 p when three letters picked without replacement from vppppoppppp?
28/55
Four letters picked without replacement from {s: 3, g: 7}. Give prob of picking 1 g and 3 s.
1/30
Four letters picked without replacement from yyayayyaya. What is prob of picking 4 y?
1/14
Two letters picked without replacement from qzqqqqqqqwtqlqtqtt. Give prob of picking 1 z and 1 q.
11/153
Calculate prob of picking 3 j and 1 g when four letters picked without replacement from {j: 17, g: 1}.
2/9
What is prob of picking 1 x, 2 r, and 1 s when four letters picked without replacement from {l: 4, r: 6, e: 2, x: 4, s: 1}?
3/119
Two letters picked without replacement from tetzie. Give prob of picking 1 i and 1 e.
2/15
Four letters picked without replacement from {l: 10, x: 6, z: 4}. Give prob of picking 3 x and 1 z.
16/969
Calculate prob of picking 2 x when two letters picked without replacement from {w: 11, r: 4, x: 3}.
1/51
Three letters picked without replacement from huhoohhuoohyohyyyuh. Give prob of picking 3 y.
4/969
Two letters picked without replacement from {s: 1, k: 6, x: 10}. Give prob of picking 1 s and 1 k.
3/68
What is prob of picking 2 r and 1 i when three letters picked without replacement from {i: 6, r: 2}?
3/28
What is prob of picking 2 k when two letters picked without replacement from kekkkekkkkkkkkekkek?
35/57
Four letters picked without replacement from {r: 7, i: 3, t: 3}. What is prob of picking 2 i and 2 r?
63/715
Calculate prob of picking 1 v and 1 t when two letters picked without replacement from {v: 1, r: 16, t: 1}.
1/153
Two letters picked without replacement from ifvtwmtw. Give prob of picking 1 f and 1 v.
1/28
What is prob of picking 1 n and 1 k when two letters picked without replacement from nkkkknnnnnkk?
6/11
What is prob of picking 1 c and 1 w when two letters picked without replacement from xcxkcxwpx?
1/18
Two letters picked without replacement from mblmmmkkmmmblmbmmkv. What is prob of picking 2 m?
5/19
Two letters picked without replacement from {x: 6, j: 4, h: 1}. Give prob of picking 2 x.
3/11
What is prob of picking 1 q and 2 y when three letters picked without replacement from {q: 2, y: 8, m: 7, w: 1}?
7/102
What is prob of picking 1 m, 1 h, and 1 w when three letters picked without replacement from fwhhhlwhlshhllsmh?
7/340
What is prob of picking 1 p, 1 y, and 2 e when four letters picked without replacement from ppyyeppyyeyyypctyeey?
18/323
Four letters picked without replacement from yyyyyyyyyy. Give prob of picking 4 y.
1
Calculate prob of picking 1 n, 1 q, and 2 t when four letters picked without replacement from {g: 2, n: 2, t: 4, l: 5, q: 1}.
12/1001
Two letters picked without replacement from {a: 1, d: 2, y: 1, f: 1, b: 4}. Give prob of picking 1 a and 1 b.
1/9
What is prob of picking 1 y, 1 j, 1 h, and 1 z when four letters picked without replacement from {y: 2, j: 2, h: 2, z: 1, f: 1}?
4/35
Two letters picked without replacement from tttttvnsstsosqnnnto. Give prob of picking 1 q and 1 s.
4/171
Two letters picked without replacement from imtccfnfmfiff. Give prob of picking 1 m and 1 n.
1/39
What is prob of picking 2 w when two letters picked without replacement from wnnnnnnnnwnn?
1/66
What is prob of picking 2 v and 1 r when three letters picked without replacement from {r: 9, v: 2, n: 5}?
9/560
What is prob of picking 1 c and 1 i when two letters picked without replacement from ciceidi?
2/7
Calculate prob of picking 1 c and 1 n when two letters picked without replacement from wwwwcnnnnwwwcwwcww.
4/51
Three letters picked without replacement from kbdybydbbbbhdhd. What is prob of picking 1 y, 1 b, and 1 k?
12/455
Two letters picked without replacement from cccvvvvcvvx. What is prob of picking 1 v and 1 c?
24/55
Calculate prob of picking 2 k and 2 g when four letters picked without replacement from kwaakaggwgg.
1/55
Calculate prob of picking 1 i and 1 d when two letters picked without replacement from caiiiidcaiiaaiacdaw.
14/171
What is prob of picking 1 q and 1 o when two letters picked without replacement from {q: 1, h: 1, o: 1, m: 5, r: 1}?
1/36
Calculate prob of picking 3 c and 1 r when four letters picked without replacement from {c: 9, r: 3}.
28/55
Four letters picked without replacement from tnetnnjjtttntnnnin. What is prob of picking 2 n and 2 t?
7/51
Two letters picked without replacement from {m: 1, q: 11}. Give prob of picking 2 q.
5/6
Calculate prob of picking 2 v when two letters picked without replacement from {v: 2, i: 8}.
1/45
What is prob of picking 2 e and 1 j when three letters picked without replacement from jejjjjejejeeeejjejje?
33/95
Three letters picked without replacement from {c: 1, p: 2, m: 3, b: 6, z: 3}. What is prob of picking 2 b and 1 p?
6/91
What is prob of picking 2 h when two letters picked without replacement from xxxhxxhx?
1/28
What is prob of picking 1 e and 3 c when four letters picked without replacement from gcwglcgggccewgcgegll?
4/969
Calculate prob of picking 1 z and 1 e when two letters picked without replacement from {z: 3, e: 3}.
3/5
Two letters picked without replacement from ssibbicbbr. Give prob of picking 1 i and 1 b.
8/45
Three letters picked without replacement from {c: 5, u: 1, r: 3, i: 1, g: 4, f: 3}. What is prob of picking 1 c, 1 g, and 1 i?
1/34
Four letters picked without replacement from ssllns | {
"pile_set_name": "DM Mathematics"
} |
6.7
What is -84.8 less than -228822.1706?
-228737.3706
Calculate 71879.3814043 + 40.
71919.3814043
Total of -101 and 198426.8304076.
198325.8304076
Calculate 550465908703 - -0.6.
550465908703.6
What is -851636 - 23516.67?
-875152.67
Calculate -2946 - 606093603.
-606096549
What is -18931405223 minus -1515?
-18931403708
What is the distance between -40795 and 13680290?
13721085
Subtract -0.04161 from 0.3195119254.
0.3611219254
What is 16631 plus 398.164012?
17029.164012
Total of 0.18 and -182320887984.
-182320887983.82
What is -29 plus -0.23346486268?
-29.23346486268
Add together -0.149039 and -128.281336.
-128.430375
Calculate 4.1307 + 0.67415049.
4.80485049
Sum 20823416 and -3098.7.
20820317.3
Work out -9269125.56 - -1.38939.
-9269124.17061
What is 20 - 125069218499?
-125069218479
Add 0.4071 and 2.030360862.
2.437460862
-0.1 - 23.910443056215
-24.010443056215
623855410.872 + -2
623855408.872
What is -0.092164455 less than -8232?
-8231.907835545
Sum -1591639 and 0.69821928.
-1591638.30178072
What is 767683349.1 less than -0.264?
-767683349.364
Add together 14001 and -45299443873.
-45299429872
Work out 390 - 453441172335.
-453441171945
100801.6453 + -1029.37
99772.2753
-0.032685+41313058.3
41313058.267315
What is 0.166 plus 195316907.863?
195316908.029
Work out 0.21 + 129.033187512.
129.243187512
Calculate 0 - 356041721219.
-356041721219
Add -11.6329 and 5539890.8.
5539879.1671
Work out -109043.60014 - 73.
-109116.60014
What is the distance between -7030192.98 and -11229?
7018963.98
Work out -4847351.54551 - 49.
-4847400.54551
Add together 1489 and 1544553011.
1544554500
Put together -0.02 and 8502986200432.
8502986200431.98
Add 2121977059 and -148.
2121976911
-4349 + 25348.7623861
20999.7623861
Add together -0.3 and 980941132108.45.
980941132108.15
What is -1 minus 239858753748?
-239858753749
What is -7593055655 minus 3528?
-7593059183
Sum 0.1 and -5350025181502.
-5350025181501.9
What is 0.4 plus -562253346772?
-562253346771.6
What is 1711 less than 496.55918?
-1214.44082
What is -10.2 + 2992353387.007?
2992353376.807
-8.109+43194781
43194772.891
Put together 10.9791798419786 and -0.4.
10.5791798419786
360097.03 - 5.7446
360091.2854
Calculate -3.823206834551 + -6.
-9.823206834551
Add together -4.1397 and -0.1254683402.
-4.2651683402
Calculate -854.0823885 - -1.
-853.0823885
What is the difference between 14671940991 and 1.11?
14671940989.89
What is 0.2 + -71450991088.69?
-71450991088.49
Put together -19080.9274 and 1.052.
-19079.8754
Subtract 1755.708139487 from -4.
-1759.708139487
What is 1 plus 34113.26139376?
34114.26139376
Add 108.8780206922 and -3.1.
105.7780206922
What is -1417259.54184151 minus 1?
-1417260.54184151
What is 372.6574083 + -390?
-17.3425917
187 - -2258136.074
2258323.074
What is -2.52 plus -1655129911?
-1655129913.52
What is 310 less than 8775667281?
8775666971
Add together -480525.3 and 726.7.
-479798.6
Sum 17 and 469928812352.
469928812369
Put together -137538079.85 and 5329.
-137532750.85
Total of -245 and -0.27910396969.
-245.27910396969
-1.1693988324 - 4.4
-5.5693988324
Calculate -16589660776 + -1838.
-16589662614
What is -46.11 plus -13612029.497?
-13612075.607
What is -0.05 + 5280535088325?
5280535088324.95
-0.1 - 1249817.7016654
-1249817.8016654
Work out -0.43 - 693604.009.
-693604.439
Work out -53571.16121 - 1.61.
-53572.77121
What is the difference between -2438.001 and -2808072?
2805633.999
Sum 0.054 and 12079781422.
12079781422.054
What is 85.64817 take away 588.1?
-502.45183
What is 30 + 0.6510396142161?
30.6510396142161
What is -3 take away 1050722504899?
-1050722504902
Put together -5949 and 83267945910.
83267939961
Work out 20.5 - -1910005386.2.
1910005406.7
What is 4896621 take away 86398?
4810223
What is 385736848 - -3402.9?
385740250.9
What is 72358832 plus 1264.2?
72360096.2
-23.2878 - 22636.6
-22659.8878
Work out 3631.3959675 + 28.
3659.3959675
What is -39301976967737 - 0.33?
-39301976967737.33
What is 1736 minus -1947145493?
1947147229
What is 65.5 minus -74.5570564897?
140.0570564897
Add -4 and 1429956985170.
1429956985166
Total of 1805276 and 0.231035.
1805276.231035
What is -12055.2601678 minus 0.1?
-12055.3601678
What is -6642348.599527 take away -0.17?
-6642348.429527
What is 1287956738 plus -12.9?
1287956725.1
Add -1649938924.88 and -2.
-1649938926.88
What is 71 - -11186804.8045?
11186875.8045
What is 61.4082 take away -0.3958867?
61.8040867
Subtract 39496 from 12.18023.
-39483.81977
Put together 1.06 and -2424604188.
-2424604186.94
What is -6 less than 174417955426?
174417955432
Calculate -14 - -0.02385002799.
-13.97614997201
Add -64765.80538815 and -0.1.
-64765.90538815
Work out -61813.571 + -1.244.
-61814.815
Work out -886021011694.5 - 1.
-886021011695.5
Add -14431397135 and 0.1.
-14431397134.9
Work out 255558 + -262609785.
-262354227
Work out 20500854 - 10711478.
9789376
Work out -0.01 - 15.170395164.
-15.180395164
Add together 0.00512383 and 0.14767679.
0.15280062
Work out 14 + 12329244966.
12329244980
Sum 1.143804828004 and 4.
5.143804828004
Add together 5.6018 and -6924894.
-6924888.3982
-14867.83 + 36.8921
-14830.9379
Put together 1176.5903768 and -0.28.
1176.3103768
Subtract 21 from -1001206458.7.
-1001206479.7
Add together 0.029169097 and -661.
-660.970830903
Calculate 4621 + 0.048443599.
4621.048443599
What is -51088407830 minus -0.5?
-51088407829.5
-7.8213178176 - 0.3
-8.1213178176
Add together 1573 and -23875.265.
-22302.265
Work out -5071121951258 + -0.4.
-5071121951258.4
What is the difference between -18251.2310132 and 5?
18256.2310132
-31174609 + -2418.57
-31177027.57
Calculate 3.039 - 6760795.764.
-6760792.725
Subtract 0.1 from 98608879623.1.
98608879623
Calculate -593241817 - -143575.
-593098242
What is 96879471.5417 minus 1?
96879470.5417
Work out 56.033 - 374879.28.
-374823.247
Subtract -1454.31562572 from 2.6.
1456.91562572
What is 0.0201774578 minus -120?
120.0201774578
What is -154156953120 take away 4?
-154156953124
What is -18.3587205307 + -0.024?
-18.3827205307
Add -15896530944 and -83.
-15896531027
Calculate -0.3 - 31192971948.
-31192971948.3
What is 85730000.22 take away 163.27?
85729836.95
Work out -70387800782 - 0.06.
-70387800782.06
0.033+59.3124862058
59.3454862058
Put together -0.4 and -363.27217562.
-363.67217562
What is -4001271367 less than 0.112?
4001271367.112
Add together 846541197.2 and -3.
846541194.2
Calculate -3 + 114433988385739.
114433988385736
Total of -4095003.164 and -1.4.
-4095004.564
-24 + 254188092.1646
254188068.1646
Calculate 38453571.9 - 2.152.
38453569.748
What is 271748 plus -7.06648?
271740.93352
5 + -13808.027705686
-13803.027705686
What is 531.022422 + -93?
438.022422
Add 1527 and 7839424003.
7839425530
Work out -29106771.2 - 0.0966.
-29106771.2966
Sum -5 and 197272861766680.
197272861766675
Add 0.2172 and -140093342.
-140093341.7828
1.932+68116.719
68118.651
Subtract 34828830 from -3003.8.
-34831833.8
What is the difference between -103955724 and -759934?
103195790
Total of -2.7164 and 202510.53.
202507.8136
Calculate 2725 - 67145380.
-67142655
Work out -8429178 - -128380.
-8300798
What is -171.715848 + -6498?
-6669.715848
-510456+43.5627
-510412.4373
What is the distance between 193910067.277 and 5?
193910062.277
What is 5.977251601 minus -0.6523?
6.629551601
Subtract 5234762.97994 from 4.
-5234758.97994
1.69288 + -122772
-122770.30712
What is 0.6 take away -3602.53975117?
3603.13975117
Sum -9158146110 and 1065.
-9158145045
What is the difference between 256 and 132187704421?
132187704165
Put together 0.8334 and -35406.048.
-35405.2146
Total of -16.9 and 0.01705229029.
-16.88294770971
-254.9605343 - 1.893
-256.8535343
Subtract -0.435 from 116067628192.
116067628192.435
Work out -12519659555 - -4.
-12519659551
Total of -0.2 and 84130951950.
84130951949.8
Calculate 34 - 42306126652.
-42306126618
Total of -10.97129915 and -0.132945.
-11.10424415
Put together 0.006 and 6253081475.
6253081475.006
What is -42539 minus -20109989?
20067450
Sum -323957158372 and 5.
-323957158367
-42863002848 + 0.419
-42863002847.581
Calculate 0.7584 - -100055062.
100055062.7584
What is 0.02431412407 - -0.05731?
0.08162412407
0.3523 + 1954893.5
1954893.8523
Add -7178.763 and -676727.
-683905.763
Add -1090682.648 and 0.1382.
-1090682.5098
Subtract 7 from -17 | {
"pile_set_name": "DM Mathematics"
} |
-95/8?
-95/8
Which is smaller: 2 or 15?
2
Which is bigger: -446 or -445?
-445
Is -707 >= 20?
False
Which is bigger: -17585 or -17587?
-17585
Is -1.4 at least -8.5?
True
Which is greater: 0 or -34/37?
0
Which is smaller: -591/28 or -21?
-591/28
Which is bigger: 52 or 41?
52
Is 2423 less than 2423?
False
Is -782 <= 13?
True
Which is bigger: 227 or 230?
230
Are 1.6 and -14 equal?
False
Which is bigger: -20 or -32?
-20
Are 0 and -1/167 unequal?
True
Which is smaller: -1 or -2/83?
-1
Which is greater: 0 or -2/10223?
0
Which is smaller: 2 or 4380?
2
Which is bigger: 1 or -2/16773?
1
Is -23 at most 0.24?
True
Does 292/17 = 18?
False
Which is smaller: 738 or 1/3?
1/3
Is -202 greater than or equal to -194?
False
Is 1.1 at most as big as 9.66?
True
Which is smaller: 0 or -8/37?
-8/37
Does -1427 = -1427?
True
Which is smaller: -7969 or -7970?
-7970
Is 806 > 806?
False
Which is smaller: 13 or 178?
13
Are 1/30151 and -1 equal?
False
Which is greater: 0.04 or -31/4?
0.04
Is -1 > 1/645?
False
Which is greater: -0.4 or -0.76?
-0.4
Is 1096 less than or equal to 1097?
True
Is -114/29 >= -4?
True
Is -1 > 1/7053?
False
Is -17/60 less than or equal to 0?
True
Is -61 >= -9?
False
Which is bigger: -2339/5 or -469?
-2339/5
Is 3/11 >= -470?
True
Is -6134 smaller than -6130?
True
Which is bigger: 313 or 314?
314
Is 29 != -43?
True
Is -618 bigger than -4939/8?
False
Which is smaller: 36 or -19?
-19
Which is greater: 1 or -12?
1
Which is smaller: 1522 or 1512?
1512
Which is smaller: -3/4181 or -1?
-1
Which is smaller: 1 or 9?
1
Is -0.19 equal to 32?
False
Which is greater: 1/4 or 5.5?
5.5
Which is greater: -3/317 or -1?
-3/317
Is -5/237 at most 1?
True
Is 1946 at least as big as 1946?
True
Which is smaller: 1/3 or -2769?
-2769
Do -1 and 1/5802 have the same value?
False
Do -726/5 and -144 have the same value?
False
Which is bigger: 2/1331 or 1?
1
Is -593 at most 2?
True
Which is greater: -380 or 6/13?
6/13
Is -13/30 smaller than -10/7?
False
Is 1 greater than 76/579?
True
Which is bigger: 0.506 or 4/7?
4/7
Is 1/1328 != 0?
True
Which is bigger: 321 or 319?
321
Is -4 <= 72/31?
True
Which is smaller: -2432 or -3?
-2432
Is 18 not equal to 0.42?
True
Are 1186 and 1185 unequal?
True
Is 587 >= 587?
True
Is 613/5 <= 122?
False
Is -508/7 < -74?
False
Is -3343 > -3342?
False
Is -243 greater than or equal to -240?
False
Is -1025 <= -1025?
True
Is -1 > 2/3175?
False
Which is bigger: -46 or -44?
-44
Which is smaller: -2/5 or 2104?
-2/5
Is 68 equal to 67?
False
Is 2/1139 at least as big as -1?
True
Which is smaller: -1/12479 or -1?
-1
Is 164 at least as big as -2?
True
Which is smaller: 14306 or 28611/2?
28611/2
Which is smaller: 309 or 0?
0
Is -1 greater than or equal to 489/10?
False
Which is greater: -34/9 or -3?
-3
Is -15475/3 > -5159?
True
Is 4525 at least 4524?
True
Which is bigger: -55/3 or -19?
-55/3
Which is smaller: 63 or 62?
62
Which is bigger: 2263 or -1/6?
2263
Is 2/3 not equal to 5/107?
True
Does -27 = 0?
False
Which is smaller: -3 or -58?
-58
Is 2/1113 not equal to 1?
True
Is 44 > 42?
True
Which is smaller: -22 or -23?
-23
Is -0.05 > -15.8?
True
Is 0 less than or equal to 12/209?
True
Is -53 less than -1/6?
True
Which is smaller: -1 or 2/13537?
-1
Which is bigger: -1 or 14/333?
14/333
Which is smaller: 14878/3 or 4959?
4959
Are -947 and -948 nonequal?
True
Is 62 >= 495/8?
True
Are 0 and 3/73 equal?
False
Are 1 and -20/77 non-equal?
True
Is -8388 < -8388?
False
Which is bigger: 41 or 1/302?
41
Which is smaller: -705 or -676?
-705
Is 26 less than or equal to 132/5?
True
Which is greater: 4/9 or -4?
4/9
Which is smaller: -5912 or -5911?
-5912
Do 22/5 and 1 have different values?
True
Which is smaller: 15 or 14?
14
Which is greater: -1 or -6/65?
-6/65
Which is smaller: 41 or 26?
26
Which is bigger: -3123 or 0.3?
0.3
Which is smaller: -460 or -464?
-464
Is 3 != 5/2?
True
Are 2 and 0.03 unequal?
True
Which is smaller: 1/179 or -3?
-3
Which is greater: 10287 or 10289?
10289
Which is bigger: 0 or -1/28?
0
Are 538 and 538 equal?
True
Which is smaller: 1 or 1/307?
1/307
Which is greater: -1 or -5912?
-1
Is -34 less than or equal to -869/25?
False
Are -8/2143 and 1 nonequal?
True
Is -27 at least as big as -1482/53?
True
Which is smaller: -462 or -3/10?
-462
Does -8426 = -8426?
True
Which is smaller: -2/7 or -1/27094?
-2/7
Which is smaller: -7/50 or 0.2?
-7/50
Which is smaller: 0 or -4/105?
-4/105
Is -239 greater than or equal to -0.2?
False
Which is bigger: -13/2 or -8?
-13/2
Which is bigger: -450 or -452?
-450
Is 23/16 >= 2?
False
Which is greater: -29 or -1?
-1
Is -26 at most -26?
True
Which is smaller: -539/3 or -179?
-539/3
Which is bigger: 24 or 4?
24
Which is greater: 0.2 or 683?
683
Is -202 equal to -1415/7?
False
Which is bigger: 1 or 6/1343?
1
Which is smaller: -209 or -213?
-213
Which is bigger: -1291 or -1292?
-1291
Which is greater: 444 or 429?
444
Is 1 less than 465?
True
Which is bigger: 0.13 or 2?
2
Which is smaller: -7 or -60?
-60
Which is bigger: 2 or -494?
2
Is -38/45 equal to -1?
False
Which is bigger: -1 or -2/947?
-2/947
Is 2 not equal to -153?
True
Is -588 at most 1/4?
True
Which is smaller: 884 or 883?
883
Which is bigger: 1077 or 1074?
1077
Do 9 and 17 have different values?
True
Which is greater: 183 or 917/5?
917/5
Are 2 and -2.97 equal?
False
Is -126 != -1396/11?
True
Is 0 < 3/20?
True
Is 1 > -2/43747?
True
Which is greater: 17/139 or -1?
17/139
Which is greater: 42 or 108?
108
Is -2089 less than or equal to -2089?
True
Is 747 >= 749?
False
Which is smaller: 261 or 265?
261
Is -16/6715 at least as big as 1?
False
Which is smaller: -1/4 or 0?
-1/4
Is 202 < 157?
False
Which is smaller: 1/28 or -4?
-4
Is -11 smaller than -17?
False
Which is bigger: -8 or 230?
230
Is -1905/8 at least as big as -239?
True
Which is bigger: 72 or -4?
72
Are -935/24 and -38 nonequal?
True
Is 390 equal to 0?
False
Is 1 greater than or equal to -2.08?
True
Which is smaller: 0.004 or 0.33?
0.004
Is 2001 less than or equal to 2001?
True
Is 5173 < 5172?
False
Which is smaller: -34 or -106/3?
-106/3
Which is smaller: -8 or 106?
-8
Are 155 and 155 nonequal?
False
Which is smaller: -599 or -596?
-599
Is 35 >= 34?
True
Do -2 and -7/4 have the same value?
False
Which is greater: -1 or -52/43?
-1
Is 6910 less than 6910?
False
Which is smaller: -3514 or 1/3?
-3514
Is 267 less than or equal to 270?
True
Which is smaller: 43 or 2?
2
Is 2118 greater than or equal to 2118?
True
Is 909 less than 912?
True
Is 1/145 at least as big as 1?
False
Is -3/44 less than -7?
False
Are 1 and -2/25 unequal?
True
Which is smaller: 827 or 832?
827
Is 5 less than -71?
False
Which is greater: 4 or 175/67?
4
Is 273 > 273?
False
Is 4454 not equal to -3?
True
Which is smaller: -1 or 459?
-1
Which is smaller: -89/47 or -2?
-2
Is 1 >= 180?
False
Is -486 bigger than -490?
True
Is 1 smaller than 37.29?
True
Is -1 < 3/11?
True
Which is smaller: 3/152 or -1?
-1
Is -2/17 bigger than 81?
False
Is 1/4 at most as big as -146?
False
Is -136.39 bigger than -1?
False
Is -45 != -269/6?
True
Is -69/146 bigger than -1?
True
Is -27 less than -25?
True
Is -3351 bigger than -3348?
False
Is -5697 != -5698?
True
Which is smaller: 17630 or 0.1?
0.1
Which is smaller: -0.1 or 37?
-0.1
Are 1/27 and 2/183 unequal?
True
Are 2 and -8 non-equal?
True
Is -1840 < -5521/3?
False
Is -1 greater than or equal to 0.4?
False
Which is smaller: -836 or -835?
-836
Which is greater: 1 or 1/886?
1
Is 438 smaller than 1?
False
Is -1 bigger than 1/74?
False
Which is smaller: -315/4 or -79?
-79
Which is smaller: -338 or -673/2?
-338
Is -687 bigger than -689?
True
Which is smaller: -212/5 or -1?
-212/5
Is -0.122 less than or equal to 10?
True
Is -6/5 greater than -2?
True
Which is greater: -1112/5 or -221?
-221
Which is greater: -3/133 or -1?
-3/133
Which is bigger: 3846 or 1/2?
3846
Is 25 equal to 263/11?
False
Is 2 at least 122/47?
False
Which is bigger: 8322 or -1/2?
8322
Is 1/2 bigger than -5241?
True
Which is greater: 0 or -8/165?
0
Is 189/13 smaller than 15?
True
Which is bigger: 11/12 or -0.1?
11/12
Which is greater: -170 or -514/3?
-170
Does 2524 = 2527?
False
Is 18 smaller than -65?
False
Do 38/289 and 0 have the same value?
False
Which is smaller: 1 or -3/170?
-3/170
Which is smaller: 696 or -5?
-5
Is -10 greater than -4?
False
Do -894/49 and -1 | {
"pile_set_name": "DM Mathematics"
} |
Let f be g/(-20) - -3 - -2. Which is greater: -1 or f?
f
Let x = -1327 - -6612/5. Suppose -6 = t + r, -3*t - 11 = -t + r. Are t and x nonequal?
True
Let c(x) = -x**3 - 5*x**2 - 6*x - 2. Let d be c(-4). Let t(j) = -j**2 + 9*j - 8. Let i be t(d). Suppose 3*z + i = -2. Is z > -1?
False
Let q = 281/45 + -55/9. Let z = 49/30 - q. Which is greater: 1 or z?
z
Let i = -921 + 919. Which is smaller: i or -77/25?
-77/25
Let l be (3*-16)/((-48)/32). Let u be l/14 + 2/(-7). Is u less than 7?
True
Let d = -791 + 718. Is d at least as big as -73?
True
Let a be (140/21)/5 - 1. Let o = -164 + 242. Are o and a equal?
False
Suppose 0 = 8*t - 494 + 558. Suppose 2*o = -5*g - 13 - 28, 0 = o + 4*g + 28. Is t smaller than o?
False
Let v(l) = 30*l + 137. Let a be v(-6). Is a at least -38?
False
Suppose 4*n = 5*n - 4. Suppose -v - 2*k = 4, n*v + k - 5 = 7. Suppose 0 = 2*g - 6*g - v. Which is smaller: g or 2?
g
Suppose 2*q - 4 = -6. Suppose 4*k + 0*o - 16 = -4*o, 1 = o. Let t be (k/9)/((-4)/15). Are q and t equal?
False
Let m = -4 + -7. Let f(y) = 5*y + 128. Let t be f(-8). Let q be (-3)/m - 16/t. Is 0 at most q?
True
Let y = 53.009 + -53. Let g = 0.991 + y. Which is smaller: g or -3?
-3
Let w = 4 + -74. Let j be (-20)/70 - 34/w. Which is smaller: j or 1?
j
Let x = -3.68 + 38.68. Which is greater: x or -2.2?
x
Let g be (-618)/2 - ((-3)/(-3) + -4). Is -305 equal to g?
False
Let u = -48 + 47. Let a be (24/(-15) + (-1)/u)*-35. Are a and 20 unequal?
True
Let c be (1 - 4) + (-1 - -17). Suppose -c - 2 = -5*w. Suppose x + 0*x = w. Which is bigger: 0 or x?
x
Let i = -25 - -41. Suppose 0 = -c - 3*c + i. Let a be c/6 - (-8)/(-12). Is 5 greater than a?
True
Let g = 425 - 418. Which is bigger: g or 0?
g
Suppose -3*a - 2*k - 73 = 0, -23*a + k - 112 = -19*a. Suppose -4*z = -7 - 1. Let j be (-172)/6 - z/(-3). Which is smaller: a or j?
j
Suppose -b + 28 + 5 = 0. Let f be 44/b - (-112)/(-3). Let y = f - -25. Is -10 greater than y?
True
Let q = -5 + 5. Let z(l) = 2*l**3 - 3*l**2 - 7. Let k be z(3). Suppose -7*r + 12*r = -k. Is q at least as big as r?
True
Let d(p) = p**2 + 5*p + 4. Let x(v) = v + 9. Let u be x(-14). Let b be d(u). Let f = -6 - b. Are -11 and f unequal?
True
Let y(b) = -3*b - 2. Let l be y(-1). Let f be (-16)/(-28)*l/2. Is f smaller than 3?
True
Let p = -0.02 - -1.22. Let i = p + 0. Let m = 14 - 13. Is i != m?
True
Let q = -720/17 - -323983/7650. Which is greater: -1 or q?
q
Suppose -192 = -4*b - 4. Suppose -b = -3*s - 3*z - 5, s - z - 4 = 0. Let h be 2*(1 - s/2). Which is greater: -1 or h?
-1
Suppose -2297 = 12*d - 677. Are -136 and d unequal?
True
Let y = -178 + 192. Do y and -2 have the same value?
False
Suppose -4*m + 29 = j, 4*j - m + 14 = 5*j. Suppose -4*y - 45 = -5*n, -4*n - n - 4*y = -45. Is n less than j?
False
Let w = 77 - 77.73. Let o = w + -7.77. Are o and -0.1 equal?
False
Let i = 13978 - 601016/43. Which is greater: 0 or i?
i
Let i be 2/(-3)*30/(-4)*2. Which is smaller: 75/8 or i?
75/8
Suppose 12 = -j + 4*j. Let y be j/(-5)*245/(-14). Let n be (-143)/154 + 6/y. Which is smaller: 1 or n?
n
Suppose 0 = -2*y + 75 - 69. Let p be y/(12/(-28)) - (1 + -3). Let s be 0 + 14/(-4)*1. Which is smaller: s or p?
p
Let a(x) be the second derivative of -x**3/6 - 6*x**2 + x. Let d be a(-12). Let n = 3 - d. Is 4 at least as big as n?
True
Suppose -2*h + 34 = -3*u - 711, -2*h + 5*u = -735. Are h and 0.5 equal?
False
Suppose 2*u = 117 + 11. Let o be (-7 - u) + 1 + 2. Let a = o + 478/7. Is a less than 1?
True
Suppose -5*n = -6*b + b - 15, b = -3*n - 3. Which is smaller: -6 or n?
-6
Let j be -38*(-2 + 10884/784). Let l = -903/2 - j. Is l less than 0?
False
Let l(k) = k + 5. Let o be l(5). Let j be 6/(-2) + (13 - o). Let i be (-1)/2 + (-72)/176. Is i > j?
False
Let b be -1 - ((-5)/25)/((-3)/(-9)). Which is smaller: -3/4 or b?
-3/4
Let y = -6/2452385623 - -16306601127689787/1113383072842. Let n = -14646 + y. Let s = n - 6329/4086. Is -1 greater than s?
True
Let z be (-4 + (-13)/(-3))*0. Suppose 2*m = 6 - z, -3*w = -m + 87. Let b be ((-2)/(-26))/((-7)/w). Which is smaller: -1 or b?
-1
Let v be 27/(-36) - (-3)/4. Let w = v - -3. Suppose 5*k = w*k. Is k > 1.1?
False
Let g = -15 - -17. Let t(m) = -m**3 + m**2 - 3*m + 3. Let b be t(g). Suppose 3*p - 5*p = 4. Which is smaller: b or p?
b
Let k(d) = 3*d**3 + 16*d**2 + 9*d + 16. Let c be k(-5). Let z = 6 - 2. Suppose -2*m - 2 - z = 0. Is m greater than c?
True
Let p = 30 - 19. Let b = -4 + 4.2. Which is smaller: b or p?
b
Suppose 2*i - 5*i - 93 = 0. Let k = i + 56. Which is smaller: 26 or k?
k
Let f(b) = 8*b - 13. Let h be f(6). Let r = -36 + h. Which is greater: r or -6/11?
-6/11
Let n = 2 - 2.1. Let z = 11.136 + 1.404. Let r = z - 0.54. Which is greater: r or n?
r
Let z(y) = -7*y**2 + y - 1. Let l be z(1). Let k = 1749 - 1753. Which is greater: k or l?
k
Suppose 0 = u + 4*s + 12, -4*u + 15 = -8*s + 3*s. Are 12/55 and u unequal?
True
Let x = 82 + -6. Suppose 3*y = 2*u - 147, -3*u + 373 = 2*u - 2*y. Which is smaller: u or x?
u
Let q = 17 - 15. Suppose 0 = z - 3*o + 16, z - 3*o = -q*z - 72. Let l be (-37)/(-7) + 8/z. Is 5 at most as big as l?
True
Suppose 4*j - 12 = 3*a, -5*a - 5*j - 20 = -10*j. Let l be a/(-10) - (-130)/(-75). Are -1 and l unequal?
True
Let s = -51345/38 - -1351. Which is bigger: s or 0?
0
Let d = -5229/632 - 8/79. Is -7 equal to d?
False
Let m = -1309/3 - -857/2. Which is smaller: m or -8?
-8
Let d = 2027 + -14191/7. Which is greater: d or 5/117?
5/117
Let q = -9514 - -28547/3. Suppose 0 = -5*k + 2*k + 3. Which is smaller: k or q?
k
Let f be 80*(-3)/2*4/108. Are f and -4 non-equal?
True
Let c be (-7)/(-21)*24/20. Which is smaller: c or 201?
c
Let b = 164.4 - 166. Which is greater: -3/4 or b?
-3/4
Suppose -32*g = -35*g + 3*a - 135, 4*g = -5*a - 153. Is -380/9 at least as big as g?
False
Let a be ((-9)/3)/((-6)/(-4)). Let h be a/(-3) - 26/(-6). Let f(q) = -q + 17. Let y be f(12). Are h and y unequal?
False
Suppose -3*n - 15 = 2*n. Let c = 118 - 1064/9. Is n bigger than c?
False
Let p = -77.4 + 31.4. Which is bigger: 2/21 or p?
2/21
Let z = -129 + 233. Let i = 106 - z. Is i smaller than 2?
False
Let z = 0.55 + -0.5. Let s = -75.95 - -73. Let i = z - s. Which is smaller: -2/3 or i?
-2/3
Let o = 0 + -15. Let s be (o - -14) + (0 - 4). Is -13/3 at most as big as s?
False
Let r = -1257/4 - -322. Let n be (-2 - 2*6)*193/(-386). Which is greater: n or r?
r
Let d = 18 - 59/4. Let z(v) = v**3 - 24*v**2 + 44*v + 2. Let q be z(22). Is d less than or equal to q?
False
Let g = 9 - 9. Let m be (20/75)/((36/15)/(-2)). Which is smaller: g or m?
m
Let s be (0 - 152/12)*-3. Suppose -7*y - 101 = -3*r - 2*y, 2*r = -4*y + s. Let w = r - 26. Are w and 2 nonequal?
True
Let r = -1172 + 1467. Is 294 at most as big as r?
True
Suppose -7*l = 10*l + 1020. Is -61 at most l?
True
Let p = -81 + 147. Let s = p + -113. Is -46 equal to s?
False
Suppose 60*q - 754 = 47*q. Is q at most 514/9?
False
Suppose 4*c + 48 = -m, -4*m - 14 - 2 = 0. Suppose 2*o = 5*o + 81. Let n = -38 - o. Does n = c?
True
Let h be (-74)/12 + -3 + (-45)/(-18). Which is smaller: -2/7 or h?
h
Let w be (1 - 1100/1096)*426. Let y = w + -8709/2329. Let d = y + 1209/238. Are -1 and d nonequal?
True
Let x be 3*106/24 + 20/(-16). Which is greater: 14 or x?
14
Suppose -3*n = 6*d - 5*d - 34, d - 4*n - 62 = 0. Which is smaller: 223/5 or d?
223/5
Suppose 2*p - 7*p = 3*o - 20, 3*p + 22 = 5*o. Suppose 5*y + 2*j - 30 = 0, 3*y = o*j + 21 + 28. Is 6 > y?
False
Suppose 0 = -3*v - 15 + 42. Let h be (-4)/(-8) + (-30)/(-4). Which is smaller: h or v?
h
Let i(r) = -58*r - 105. Let c be i(6). Which is greater: -452 or c?
-452
Let w(u) = -u**3 - u**2 - u - 1. Let h be w(-1). Suppose 4*n = 5*a + 28, h*n - 5*n + 6 = a. Is 2 greater than or equal to a?
True
Let y = 7 + -604. Are y and -1 unequal?
True
Suppose 4*b = j + 12 - 5, -b + 10 = -3*j. Is b < -42?
False
Let o be (-20)/(-6) + 442/(-102). Is -10/169 bigger than o?
True
Let w be (-678)/(-8)*52/78. Is w < 57?
True
Suppose 0 = 23*n - 702 - 2564. Is 140 < n?
True
Suppose -3*r = -y + 156, 2*r + 2*r = 3*y - 203. Let f be 3/(-6)*1492/14. Let d = f - r. Is -9 smaller than d?
True
Suppose 0 = 11*j - 0*j + 11. Which is smaller: j or 519?
j
Let f be (8/(-2))/((-16)/12). Let r be f/1 + (8 - 12). Which is smaller: r or -4?
-4
Let p(f) = 12*f - 17 + 38 + 482*f**2 - 48 | {
"pile_set_name": "DM Mathematics"
} |
b(s) = 3*s**2 - 2*s - 2. Let j(u) = b(u) - 2*g(u). List the prime factors of j(-3).
23
Let b(a) be the first derivative of 3*a**2 + 14*a - 7. List the prime factors of b(5).
2, 11
Let v be -1 + ((-4)/(-2))/(-1). Let r be 11/(-5) - v/15. Let u(k) = -3*k - 3. What are the prime factors of u(r)?
3
Let g be 1/6 + 37/(-6). Let b be g/(-2)*(-8)/12. Let a = 12 + b. What are the prime factors of a?
2, 5
Let i = 15 - 22. Let a = -28 - i. Let g = 29 + a. List the prime factors of g.
2
Let a(g) be the third derivative of -g**6/120 + g**5/12 + 7*g**4/24 - 4*g**2. List the prime factors of a(6).
2, 3
Let d(f) = -2*f**2 - 6*f + f**2 - 4*f. List the prime factors of d(-7).
3, 7
Let a(d) = d**2 + 10*d + 12. List the prime factors of a(-12).
2, 3
Let f(i) = i - 2. Let w be f(6). Suppose -w*l - 18 = -62. Suppose -5*d + 1 = -3*t, -2*d = -3*t - 3*d + l. What are the prime factors of t?
3
Suppose -11 - 58 = -5*u + 3*g, -2*u - 2*g = -18. Let w = u + -6. List the prime factors of w.
2, 3
Let p(x) = x. Let n(c) = 5*c - 5. Let h(s) = n(s) - 4*p(s). What are the prime factors of h(7)?
2
Suppose 0 = 2*v + 5 - 1. Let z(j) = j**2 + 11*j + 6. Let r(o) = 3*o**2 + 23*o + 12. Let s(l) = v*r(l) + 5*z(l). What are the prime factors of s(9)?
2, 3
Suppose w + 2*w - 396 = 0. Suppose 0*r + 4*r = -5*g + w, -r = 5*g - 123. Suppose 0 = -4*p + g. List the prime factors of p.
2, 3
Let x = -18 - -66. List the prime factors of x.
2, 3
What are the prime factors of 1*2/(-4)*-10?
5
Suppose 3*s = -0*s - 6. Let p be 5 - 2/(-2)*s. List the prime factors of p + -3 - -2*1.
2
Let g(k) = k. Let s be g(3). Let w be -3*(48/(-9) + 4). Suppose 0 = w*a - s*z - 22, 8*a - 3*a - 33 = z. What are the prime factors of a?
7
Suppose 3*x = -5*t + 16, 10 = t - 0*t + 4*x. What are the prime factors of t/4*(-58)/(-1)?
29
Let s(q) = -q + 12. Let j(x) = -3*x - 2. Let i(l) = -l**2 + l + 3. Let v be i(3). Let h be j(v). What are the prime factors of s(h)?
5
Let b(g) = 2*g**3 - 5*g**2 - 3*g - 2. Let m be b(5). Let u = -77 + m. What are the prime factors of u?
31
Let l(c) = -c**3 - 5*c**2 + 4*c - 7. Let n be l(-6). Suppose -j + 1 - 4 = -2*r, 6 = n*r - 3*j. Suppose 12 = r*q + 3. List the prime factors of q.
3
Let p be (-4)/(-3)*(-3)/1. Let f = p - -2. List the prime factors of (12 - 0)*(f + 3).
2, 3
Suppose 3*n + 12 = 0, -58 = 3*j - 2*n - 195. Let q(i) = -i**2 + 5*i + 6. Let x be q(-4). Let z = j + x. What are the prime factors of z?
13
What are the prime factors of 10 - (-2 + -2)*-1?
2, 3
Suppose -4*o + o = -2*p + 36, 2*p = -3*o + 12. What are the prime factors of p?
2, 3
Let m = 9 + -4. Suppose -20 = -5*d - m*q, -5*d + q = -2*q - 20. List the prime factors of d.
2
Let b(w) = w**2 + 4*w + 1. Let i be b(-3). Let x be -2*1*3/i. Suppose -g - x*g + 28 = 0. List the prime factors of g.
7
Let n(z) = -5*z**3 - 3*z**2 + 11*z - 10. Let c(v) = -2*v**3 - 2*v**2 + 5*v - 5. Let t(l) = -7*c(l) + 3*n(l). What are the prime factors of t(4)?
13
Let l(a) be the second derivative of -a**6/720 + 7*a**5/60 - a**4/6 + 2*a. Let u(n) be the third derivative of l(n). List the prime factors of u(10).
2
Let l(a) = -a**2 + 7*a + 10. Let q be l(8). Suppose 22 = 4*u + r, -u - r + 16 = q*u. List the prime factors of u.
2, 3
Let t(k) = 10*k**3 + 2*k**2 + 2*k - 2. What are the prime factors of t(2)?
2, 3, 5
Suppose -4*r + 69 = -35. Suppose 2*m - 2*y - 6 = 0, -4*y = 5*m - 7 - r. Suppose m*g - 35 = -5*j, 5*j - 6*j = 5*g - 19. List the prime factors of g.
3
Let d(k) = k + 13. Let i = -3 - 4. Let r be d(i). Suppose 2*l = l + r. What are the prime factors of l?
2, 3
Let z(p) be the second derivative of -3*p**5/20 - p**4/12 + p**3/6 - 3*p. Let u be z(-2). What are the prime factors of 9*(-3)/u*-2?
3
Let b(w) = w**3 - 4*w**2 - 4*w - 1. Let m be b(5). Let s = 9 - m. List the prime factors of s.
5
Suppose -3*t + 5*f + 64 = 0, 0*t = -3*t - 4*f + 19. List the prime factors of t.
13
Let q be -1 + 30/3 + -1. Suppose -q = -5*h + 3*h. List the prime factors of h.
2
Let n be (7/2 - 1)*-6. Let y = 23 + n. Suppose -y = r - 4*m, 4*r = -3*m + 31 - 6. What are the prime factors of r?
2
Let u = -10 + 14. Suppose -u*g + 20 = 0, -2*c - 40 = -5*g + g. Let s = c - -22. List the prime factors of s.
2, 3
Let k(r) = -3*r**3 - 1. Let f be k(1). Let x be 94/f*(-1 + -13). List the prime factors of x/35 - (-3)/5.
2, 5
List the prime factors of ((-3)/6 + -1)*76/(-6).
19
Let f = -21 + 0. Let x be (-6)/f + 52/14. Suppose x*n = 2*h + 4, 2*h = h + 3*n - 5. List the prime factors of h.
2
Let s = -7 - -10. Suppose s*v = 3*z - 0*v - 129, -z - v + 35 = 0. What are the prime factors of z?
3, 13
Let r = 5 - 5. List the prime factors of r + 2/4*14.
7
Suppose -2*d - d - 14 = -2*b, b + 4*d + 15 = 0. What are the prime factors of (0 - b) + 9/3?
2
Suppose 8*z + 138 = 11*z. List the prime factors of z.
2, 23
Let a(j) = j**2 + 7*j. Let w be a(-7). Suppose -4*k - 16 = -5*c - 3, w = -k + 3*c - 12. What are the prime factors of k?
3
Let p(o) = 8 + 4*o + 2 - 3 - 3*o. Let s be p(0). Let j = s - 3. What are the prime factors of j?
2
Suppose 2*o - 5 = o. Suppose o*c = 11 + 74. What are the prime factors of c?
17
Let d(k) be the first derivative of -k**4/4 - 3*k**3 - 4*k**2 + 8*k + 1. Suppose -7*z - 32 = -3*z. What are the prime factors of d(z)?
2
Let s(d) = -12*d. Let w be -5 - -3 - (-1)/1. List the prime factors of s(w).
2, 3
Suppose y = 4*y, 4*y + 40 = 2*i. Let j = -4 + i. What are the prime factors of j?
2
Let s(l) = l - 4. Let i be s(3). Let r be i/((-2)/(2*-1)). Let k = 9 - r. List the prime factors of k.
2, 5
List the prime factors of (36/24)/(2*1/148).
3, 37
Let w be (-69)/21 - 8/(-28). Let y(n) = n**2 - 4*n - 4. What are the prime factors of y(w)?
17
Suppose l - 6*l = -340. What are the prime factors of l?
2, 17
Let a = 5 - -18. List the prime factors of a.
23
Suppose 6*q - 9*q = -216. List the prime factors of q.
2, 3
Let d = 29 + -41. Let c(v) = v**2 + 13*v + 14. Let i be c(d). Suppose -4 + 26 = i*f. What are the prime factors of f?
11
Let v = -39 + 20. Let q = -35 + 4. Let o = v - q. List the prime factors of o.
2, 3
What are the prime factors of 136 - (4/(-3) + 1/3)?
137
Let v = 7 - -9. What are the prime factors of v?
2
Let h(a) = 14*a - 1. Let w be h(1). Suppose 3*k - 109 = -w. What are the prime factors of k?
2
Suppose -2*o = 2*o. Let b(n) = n**2 - 3*n - 4. Let y be b(4). Suppose y = s - o - 9. What are the prime factors of s?
3
Let g = 7 + 20. Suppose g = -0*o + 2*o + 3*y, -25 = -2*o - 5*y. Suppose t - 5 = o. List the prime factors of t.
2, 5
Suppose 2*d - 667 = -81. List the prime factors of d.
293
Suppose 0 = -4*b + 29 - 5. Let j(t) = t**2 - 4*t - 3. List the prime factors of j(b).
3
Let f = 1491 - 1021. Let d be 1/(-5) - f/25. Let m = d + 33. List the prime factors of m.
2, 7
Let g(r) = r - 3. Let y(n) = -n + 3. Let d(j) = -3*g(j) - 2*y(j). Let f be d(-4). Suppose 5*l - f*l + 4 = 0. What are the prime factors of l?
2
Let m(u) = 14*u**2 - 5*u - 8. List the prime factors of m(-3).
7, 19
What are the prime factors of (-14)/(-4)*(7 + -1)?
3, 7
Suppose -4*a = u + 3, -4*a + 7*a = -3*u - 9. Suppose -l + a*l = -3. What are the prime factors of l?
3
Let b be (2 - -1) + -2 - -3. Suppose b*w + h = 2*h + 47, 0 = -4*w - 2*h + 50. List the prime factors of w.
2, 3
Suppose s - 2*t = 10, 3*t - 4*t = s + 5. Let n = s - -4. Suppose 0 = -n*g + 5*w - 5 - 7, 0 = -3*g + 2*w - 2. List the prime factors of g.
2
Let i = -308 - -431. List the prime factors of i.
3, 41
Suppose -3*r - 135 = -3*m, 3*r = -2*r - 5. Let c = -23 + m. List the prime factors of c.
3, 7
Suppose 5 = 5*j - 10. Suppose 0 = j*c + 3*n - 18, 0 = 4*c - 0*n + 2*n - 16. List the prime factors of c.
2
Suppose f = t - 17, 0 = -0*t - 3*t - f + 51. List the prime factors of t.
17
Let v = 0 + 3. Suppose -3*j = -5*i - j - 33, -v*i - 4*j + 1 = 0. What are the prime factors of -3*(2 + i)*1?
3
Let l = 1 - -3. Let c be l/22 - (-786)/33. Suppose -6*o + c = -2*o. List the prime factors of o.
2, 3
Let w be (-16)/(-6) - (-2)/6. Suppose 5*m + w*p - 4 = 0, -4*p = 2*m + 2*m - 8. List the prime factors of ((-9)/(-3) - 26)/m.
23
Let d = -5 - -8. What are the prime factors of 33/d + 1*-3?
2
Suppose -3*u + 160 = 2*u. What are the prime factors of u?
2
Suppose 0 = -2*w - 2*y + 28, 0 = 5*w - y - 9 - 31. Let b = w + -5. What are the prime factors of b?
2
Let j = 411 + | {
"pile_set_name": "DM Mathematics"
} |
-13*k(u) - 6*n(u). Give q(3).
4
Let s be (0 - 3/(-4))*4. Let p(o) = 87*o**3 - 1 + 2*o**2 - 2 + 92*o**3 - 180*o**3. Give p(s).
-12
Suppose -3 + 13 = r - 3*d, -20 = 3*r + d. Let l(f) = -f - 12. What is l(r)?
-7
Let u(j) be the third derivative of -j**5/120 + 11*j**4/24 + j**3/6 - 5*j**2. Let z(o) be the first derivative of u(o). What is z(5)?
6
Let i = 2 + -2. Let z(r) be the third derivative of 0 + 0*r**5 + r**2 + 0*r - 1/24*r**4 + 1/3*r**3 - 1/120*r**6. Calculate z(i).
2
Let z(i) = -8*i + 4. Let q(v) = -8*v + 3. Let a(y) = -3*q(y) + 2*z(y). Suppose -7*k = -3 - 4. What is a(k)?
7
Let m(k) = -k**2 - 4*k + 4. Let z be (-2)/6 + 110/33. Suppose 19 = 4*l + z, -4*l = -3*g - 31. Calculate m(g).
-1
Suppose -24 = -8*b + 8. Let c(z) = -z - 3. Let t be c(-6). Let j(d) = -d**2 + d + t*d - d - 3. Give j(b).
-7
Let r = -1 - -7. Let f(h) = 7*h**2 + h + 4. Let k(b) = 20*b**2 + 2*b + 11. Let l(w) = -17*f(w) + 6*k(w). Give l(r).
4
Let h be ((0/3)/(-3))/2. Suppose -5*a = -5 - h. Let g(z) = 2*z**3 + 1 - 2*z**2 + 5*z**3 + 0*z**2. What is g(a)?
6
Let u = 5 - 1. Let c(z) = 0*z + 6*z - 3 - 5*z. What is c(u)?
1
Suppose 0 = -0*g + 4*g - 3*c + 3, 0 = -c + 5. Let o(b) = -b**2 + 2*b - b + g + 0*b**2. Suppose 5*z = 5*n + 20, 3*n = -4*z + 2*n - 4. What is o(z)?
3
Let j(d) = -5*d**2 + 5. Let h(x) = x**2 - x. Let a(i) = 6*h(i) + j(i). Let r be a(6). Let s(b) = -6 + 2*b - 2*b + b. Give s(r).
-1
Let q = 9 + -7. Let i be 2 + 1 - (-1 + q). Let p(x) = 2 - 3*x**i - 3*x + 0*x + 2*x**2 + 8*x. What is p(6)?
-4
Suppose 4*g + 2*h + 2*h - 4 = 0, 2*h = 10. Let r(o) = -o**3 - 5*o**2 - 6*o - 1. What is r(g)?
7
Let n(k) be the third derivative of -k**4/24 + k**3/6 + k**2. Let x be n(-4). Let d(u) = -u**3 + 4*u**2 + 6*u - 7. Give d(x).
-2
Let g be 2/(4 + (-36)/8). Let t(z) = 5*z**2 + z - 3. Let u(m) = -6*m**2 + 4. Let a(v) = 5*t(v) + 4*u(v). What is a(g)?
-3
Let w(i) be the second derivative of -i**3/6 - 3*i**2/2 + 40*i. Give w(3).
-6
Let d(w) = -w**2 - 3*w + 5. Let y be -2 - -4*1*1. Suppose 5*z + 4*m + 32 = 0, z = y*z + m + 7. Calculate d(z).
1
Let q(b) = b**2 + 5*b + 3. Let o be (2/(-4))/((-2)/(-24)). Let m = -12 - o. Let r be (-16)/6*(-9)/m. Calculate q(r).
-1
Suppose -q = 5*u - 1 - 6, q - 2*u = 0. Let z(c) = -c**2 + 4*c - c**q + 0*c**2. Determine z(3).
-6
Let j(f) = f**3 + f**2 + f + 1. Let o(a) = 3*a**3 + 8*a**2 + 10*a - 2. Let g(d) = -4*j(d) + o(d). Give g(5).
-1
Suppose -3*q - 5*m - 33 = -3, 0 = -2*q + 3*m - 20. Let x(u) = u + 5. Calculate x(q).
-5
Let q(z) = -z**3 + 12*z**2 + 13*z + 10. Let l be q(13). Suppose -9*d + 3 = -l*d. Let x(b) be the third derivative of -b**4/8 - 2*b**3/3 - b**2. Determine x(d).
5
Let m = 107 + -109. Let o(i) = -i + 2. Give o(m).
4
Let r(h) = -2*h**2 + 6*h + 6. Suppose -o = o - 10. What is r(o)?
-14
Let f be 6/(-27) - (-2)/9. Suppose f*u + 6 = 2*u. Let v(y) = y + u*y - 7*y. What is v(2)?
-6
Let w(i) = 3*i + 1. Let x = 5 - 4. Let o be x*(-6 + -1 - -1). Let q = o - -4. Give w(q).
-5
Let v(z) be the first derivative of -9*z**4/4 + z**3/3 + z**2/2 - 1. Let d = 7 - 5. Let h(f) = -f**2 + f + 1. Let m be h(d). Determine v(m).
9
Let r(g) be the first derivative of -g**4/4 + g**2/2 - g + 1. Suppose 12 = i - 2*o, -i - 2*o + 1 - 9 = 0. Calculate r(i).
-7
Let h(f) be the second derivative of -f**6/60 + f**5/60 - 3*f**2 + f. Let d(t) be the first derivative of h(t). Give d(1).
-1
Let b(g) = -7*g + 1. Let r(q) = 36*q - 4. Let d(t) = 11*b(t) + 2*r(t). Let x = -2 - -2. Suppose 4*c - 4*f = x, -c - 4*f + 3 = -7. Determine d(c).
-7
Let t be -3 - (3 - 6 - 0). Let y(x) be the third derivative of 0 - 2*x**2 - 1/24*x**4 + t*x**3 + 0*x + 1/60*x**5. Give y(0).
0
Let v(m) = 5*m**2 + 2 + 2*m - 3*m**2 + m**3 + m**2. Let r = -20 - -17. Give v(r).
-4
Let j(h) = -h**2 - 4*h + 2. Let x(y) = -1. Let o(g) = -j(g) - 6*x(g). Calculate o(-3).
1
Let s(j) = -j**3 + 4*j**2 - 2*j - 3. Let o(a) = 9 + 0 + 3*a + 1 - 4*a. Let v be o(7). Calculate s(v).
0
Let a(s) = -s**3 + s**2 + s + 1. Let r(z) = -4*z**3 + 11*z. Let v(m) = 5*a(m) - r(m). Let t be 3*(0 + 8/6). Let b be v(t). Let h(y) = -y + 1. Determine h(b).
4
Let k(c) be the third derivative of -c**6/180 + c**5/40 - c**4/12 - 2*c**3/3 - 3*c**2. Let p(j) be the first derivative of k(j). Calculate p(2).
-4
Let n be ((-2)/14)/(36/(-21)). Let b(d) be the second derivative of n*d**4 + 0 - 2/3*d**3 + d**2 - d. Determine b(5).
7
Suppose -2*b + 2*z + 3 = 5, -11 = -b - 5*z. Let s(n) be the second derivative of -3*n**5/5 + n**4/12 - n**3/6 + n**2/2 + 2*n - 5. Determine s(b).
-11
Let j(f) be the second derivative of -f**4/12 + 2*f**3/3 - 3*f**2/2 + 9*f. Let g be 0 + (-1 - -7) - 2. Determine j(g).
-3
Let d(c) = c + 2. Let y = 2 - 1. Let t be -1 + (-2)/1 + y. Let k be (t*1 + -1)*1. Give d(k).
-1
Let p(r) = r**3 + 6*r**2 + 4*r - 5. Let f be (-80)/(-30) - (-2)/6. Suppose f*i + 0*i + 15 = 0. Calculate p(i).
0
Let g(r) = r. Let x(f) = 5*f. Let i(q) = 6*g(q) - x(q). What is i(-1)?
-1
Let v(a) = a**3 - 5*a**2 - 5*a + 3. Suppose 0 = -3*x + 18 - 3. Suppose w - 2 = -5, -x*w = -2*k + 27. Determine v(k).
9
Let u = -8 - -5. Let f(v) = 10*v + 2. Let r(c) = -4*c. Let i(p) = f(p) + 2*r(p). Give i(u).
-4
Let b(z) = -z**2 - 18. Suppose -3 + 7 = w - k, -20 = 5*k. Give b(w).
-18
Let r(d) = -d + 11. Let m be r(7). Let a(k) = k + k**2 + 5*k + 3 + m. Calculate a(-5).
2
Let g(u) = -u**3 - 2*u**2 - 4*u - 3. Suppose 0 = -5*j + 3 - 18. Calculate g(j).
18
Let d(z) be the first derivative of z**2/2 + 11*z - 6. Calculate d(-5).
6
Let z(i) = 12*i + 1084*i**2 - 2 - 5*i - 1085*i**2. Give z(8).
-10
Let u be (-3)/9 + (-4)/6. Let w(q) = 8*q**2 - q - 1. What is w(u)?
8
Let g(n) = -n**3 - 5*n**2 - 6*n - 5. Let r(i) = 4*i. Let x be r(4). Suppose 0*u - x = 4*u. Give g(u).
3
Let l = -2 - -27. Suppose 0 = -0*t + 5*t + l. Let j(y) = 3 + 3*y + y**2 - 5 + y. Give j(t).
3
Let j(n) = -n**2 - 8*n - 6. Suppose u = -4*w - 34, -8*w - 36 = -3*w - 2*u. Give j(w).
-6
Let b(j) be the first derivative of j**5/60 - j**4/24 - j**2/2 + 2. Let p(z) be the second derivative of b(z). Suppose -3 - 3 = -2*l. Give p(l).
6
Let z(f) = -f**3 + f**2 + 1. Let a(b) = 6*b**3 - 8*b**2 - 3*b - 6. Let t(p) = a(p) + 5*z(p). What is t(4)?
3
Let c = 42 + -43. Let d(b) = -8*b**2 - b - 1. Calculate d(c).
-8
Let q(m) = -2*m - 26. Let t be q(-14). Let v(y) be the first derivative of y - 1/3*y**3 - 1 - t*y**2. What is v(-4)?
1
Let w(s) = -2*s**3 + 1. Suppose 0 = -11*x - 22 - 0. Determine w(x).
17
Let f = 17 - 22. Let b(h) = h**2 - 3*h - 10. Let g(n) = n**2 - 4*n - 11. Let s(i) = 7*b(i) - 6*g(i). Give s(f).
6
Let h(z) = -6*z**2 + 3*z + 7*z**2 - 2*z**2 - 1. Calculate h(2).
1
Let w = -12 - -12. Let y(c) = c + 3 + 1 + w. Determine y(-3).
1
Suppose 5*r + 5 = -3*a + 2, 4*r + 3 = -3*a. Let b(l) be the second derivative of l - 1/2*l**2 - 1/12*l**4 + r - 1/2*l**3. Calculate b(-4).
-5
Suppose -10 = -3*q - 2*f, -3*q + 8*q - 2*f - 38 = 0. Let o(v) = v**3 - 7*v**2 + 8*v - 2. Determine o(q).
10
Let t(y) be the third derivative of -y**8/6720 + y**7/2520 - y**6/720 + y**5/60 - y**4/8 - y**2. Let u(k) be the second derivative of t(k). Determine u(2).
-4
Let x(o) = -o**2 + o + 7. Let f be x(4). Let z(a) = -a**3 - 4*a**2 + 6*a + 3. Calculate z(f).
-2
Let b = 5 + 0. Let n(f) = f**3 - f**2 - f. Let g = 4 + 2. Let r(k) = 7*k**3 - 11*k**2 - 5*k - 3. Let x(m) = g*n(m) - r(m). Give x(b).
-2
Let l(s) be the first derivative of -s**4/2 - s**3 - s**2 - 35. What is l(-2)?
8
Let h(f) = -3*f**2 + 6*f**2 + 2*f**3 - f**3 + 3*f + 2. Calculate h(-2).
0
Let i(s) = 2*s + 2. Suppose 3*y - 9 = 0, 10*m = 5*m + 5*y. Determine i(m).
8
Let g be 2*(-2 + 1)*-1. Suppose 12 = 2*p + 2*q, -q - 4*q - 12 = -2*p. Let o(a) = 26 - p*a**2 + a**g - 31 + 4*a + a**3. Calculate o(4).
-5
Suppose -2*p - 9 = -o, 0 = 3*p - 8*p - 2*o - 9. Let r(g) = -3*g**2 + 4*g + 7. Let a(u) = 2*u**2 - 4*u - 6. Let q(h) = 4*a(h) + 3*r(h). Determine q(p).
0
Let q(i) = -2*i**2 + 3*i + 4. Let w(h) = -h**2 + 2*h + 2. Let d(y) = 3*q(y) - 7*w(y). Give d(4).
-6
Let v(f) be the second derivative of -f**4/12 + f**3/2 - 5*f**2/2 + 2*f. Let k(u) = -u**2 + 2*u - 5. Let t(n) = 6*k(n) - 5*v(n). Let y = -4 + 0. What is t(y)?
-9
Suppose -10 = 4*g - 126. Let h = -13 + g. Suppose -5*r = -r + h. Let z(k) = -k**2 - 6*k - 2. Determine z(r).
6
Let r(b) = 10 - 3*b**2 - b**3 + 3*b**2 - b - 17. Suppose 0 = l - 2 - 1. Suppose 0*v = -l*v. What | {
"pile_set_name": "DM Mathematics"
} |
= -4*m, a + 0*a + 4*m = 12. Let l(k) = 2*k**2 - 2. Let j(r) = a*c(r) + z*l(r). Differentiate j(g) wrt g.
-4*g
Let u(c) be the third derivative of 0*c**5 - 1/12*c**6 + 0*c**3 + 0 + 0*c - 1/3*c**4 - 9*c**2. What is the second derivative of u(y) wrt y?
-60*y
Let q(d) be the third derivative of 0*d + 0 + 1/60*d**6 + 0*d**5 - 3*d**2 + 1/24*d**4 + 0*d**3. Find the second derivative of q(s) wrt s.
12*s
Let y(w) = -8*w**3 - 3*w**2 + w + 3. Let s(o) = -16*o**3 - 5*o**2 + 2*o + 5. Let d(n) = 6*s(n) - 10*y(n). What is the second derivative of d(r) wrt r?
-96*r
Differentiate 2 - 4*t - 3 + 15 with respect to t.
-4
Differentiate 51 - 40 + 10*q**4 - 36*q**4 with respect to q.
-104*q**3
Let n(m) be the first derivative of -m**2 - 5 - 4/3*m**3 + 0*m. Find the second derivative of n(r) wrt r.
-8
Let g(d) = 23*d**4 - 3*d**3 - 3*d**2 - 3*d - 18. Let i(j) = 23*j**4 - 4*j**3 - 4*j**2 - 4*j - 19. Let y(z) = -4*g(z) + 3*i(z). Differentiate y(f) wrt f.
-92*f**3
Suppose 5*f - 1 = 3*m + 7, 4*m - f = 12. Let d(x) = -2*x**3 - 2*x**2 + 3*x + 2. Let w be d(-2). What is the second derivative of w - o - 2*o**m - 4 wrt o?
-24*o**2
Suppose 4*y = -3*w + 29, -y = -w - 4*w + 10. Suppose -i = 4*k, -y*k = -4*i - 0*k + 21. Find the second derivative of 4 - 4 - j**i + 2*j wrt j.
-12*j**2
Let k(g) be the second derivative of 2/15*g**6 + 0*g**2 + 0*g**4 - 6*g - 2/3*g**3 + 0 + 0*g**5. What is the second derivative of k(n) wrt n?
48*n**2
Let w(p) = -25*p**3 - 9*p - 40. Let b(f) = 6*f**3 + 2*f + 10. Let g(v) = -9*b(v) - 2*w(v). What is the derivative of g(d) wrt d?
-12*d**2
Let j(d) be the first derivative of -2*d**7/7 - 14*d**3/3 + 1. What is the third derivative of j(u) wrt u?
-240*u**3
Let z = -3 + 7. Let h = 8 - 3. What is the derivative of z*o + h*o - 4*o - 4*o + 3 wrt o?
1
Let z(a) be the second derivative of -a**4/2 + 12*a**2 + 3*a. What is the derivative of z(x) wrt x?
-12*x
Let h(t) = 22*t**4 + 2*t**3 - 15*t - 2. Let z(b) = -b**3 + 1. Let x(p) = h(p) + 2*z(p). Find the second derivative of x(s) wrt s.
264*s**2
Let c(n) be the second derivative of 0*n**3 + 0 + 1/3*n**4 - 4*n + 3*n**2. Differentiate c(v) wrt v.
8*v
Let p be (-11 - -13) + (-1 - -3). Find the third derivative of 2*t**5 + t**2 + 5*t**5 + p*t - 4*t wrt t.
420*t**2
What is the third derivative of 12*s**5 + 0*s**2 + 3*s**2 + 6*s**2 + 12*s**5 wrt s?
1440*s**2
Let d(g) = -7*g**3 - 2*g + 3. Let f(w) = -22*w**3 - 7*w + 9. Let n(y) = 7*d(y) - 2*f(y). Differentiate n(o) with respect to o.
-15*o**2
Let x(r) be the second derivative of 0*r**2 + 0*r**4 - 1/20*r**5 - 2*r + 1/3*r**3 + 0. Find the second derivative of x(w) wrt w.
-6*w
Suppose 5 = -l + 10. Find the second derivative of -3*u**5 - u - 3*u**l + 4*u**5 wrt u.
-40*u**3
Let k(m) be the first derivative of 0*m**5 + 5 + 3*m**2 + 0*m - 4/3*m**6 + 0*m**3 + 0*m**4. What is the second derivative of k(o) wrt o?
-160*o**3
Let p(v) = v**2 - v. Let i(d) = 8*d**3 + 6*d**2 - 3*d. Let q(f) = -i(f) + 6*p(f). What is the second derivative of q(o) wrt o?
-48*o
Let y be (-1)/(7/2)*-7. Let j be 2/3*(-9)/(-3). What is the first derivative of 2*z**j - 3*z**y + 2 - 2*z**2 - 1 wrt z?
-6*z
Suppose -m + 24 = n - 5*n, -4*m + 72 = -4*n. Suppose 2*l - 3*t + 7 = 23, -4*l + 2*t = -m. Find the second derivative of 17*i**4 - 2*i - l*i**5 - 17*i**4 wrt i.
-40*i**3
Let f(s) be the first derivative of -s**8/14 - s**4/12 + s - 3. Let z(p) be the first derivative of f(p). Find the third derivative of z(h) wrt h.
-480*h**3
Let g(m) = -8*m**3 - 6*m**2 + 18*m + 6. Let z(l) = l**3 + l**2 - l - 1. Let i(t) = g(t) + 6*z(t). What is the second derivative of i(a) wrt a?
-12*a
Suppose -8*x + 6*x + 6 = 0. Find the first derivative of -4 + 0 + 9 - r**x wrt r.
-3*r**2
Suppose -2*l = 2*m + 6, -3*m - l + 2 = 1. What is the derivative of 3 + f**2 - 3*f**2 + f**2 - m*f**2 wrt f?
-6*f
Let j(p) be the second derivative of p**8/28 + p**5/20 - 53*p**4/12 - 56*p - 2. What is the third derivative of j(b) wrt b?
240*b**3 + 6
What is the third derivative of 33*x**2 + 56*x**3 - 2*x**6 - 42*x**3 + 24*x**3 wrt x?
-240*x**3 + 228
Let u(g) = g**3 + g**2. Let d(r) = -r**2 - r. Let z(j) = -4*d(j) - 4*u(j). What is the second derivative of z(h) wrt h?
-24*h
Suppose s + 4 = -u, 5*u - 7 = -4*s + 8*s. Let y = 5 + s. What is the third derivative of y*b**2 - b**4 - 2*b**4 + 0*b**4 wrt b?
-72*b
Let q(j) be the third derivative of 0*j - 1/10*j**5 - 5/24*j**4 + 0 - 4*j**2 + 0*j**3. Find the second derivative of q(r) wrt r.
-12
Suppose -4*i - 3*c + 6*c = -41, 0 = 2*i + 5*c - 1. Let x be i/20 + 13/5. Find the first derivative of -8 + 4 + 4*w**3 - 5*w**x wrt w.
-3*w**2
Let x be (-4)/(2*2/(-18)). Let r be (-1 + 8)*x/21. What is the first derivative of -r + 7 + 3*w - 2*w wrt w?
1
Let r(w) be the second derivative of 41*w**6/30 - 5*w**3/3 + 3*w. Find the second derivative of r(n) wrt n.
492*n**2
Let n(o) be the third derivative of -8*o**2 + 0*o**5 + 0 + 0*o**4 + 0*o - 3/2*o**3 + 1/24*o**6. Differentiate n(q) wrt q.
15*q**2
Let y(z) be the second derivative of -z + 0 + 0*z**3 + 0*z**2 + 1/20*z**5 - 1/3*z**4. Find the third derivative of y(m) wrt m.
6
Let m(c) = -5*c**2 + 21 - 6*c**2 - 10*c**2. Let f(j) = -5*j**2 + 5. Let v(q) = -18*f(q) + 4*m(q). Find the first derivative of v(l) wrt l.
12*l
Let k(p) be the third derivative of p**6/180 - p**5/30 - p**3/2 + 2*p**2. Let s(q) be the first derivative of k(q). What is the second derivative of s(v) wrt v?
4
Let z be 2/(-7) + 74/14. What is the first derivative of -10*l**3 + 18*l**3 - 8*l**3 + z*l**4 + 3 wrt l?
20*l**3
Let h = -3 + 5. Find the third derivative of -8*r**6 + 4*r**6 - r**h - r**2 wrt r.
-480*r**3
Let m(s) be the second derivative of 4*s**6/5 + 9*s**2 + 27*s. What is the derivative of m(o) wrt o?
96*o**3
Find the third derivative of 17*f**2 + 97*f**3 - 97*f**3 - 12*f**4 wrt f.
-288*f
Let d(r) be the third derivative of -r**9/504 - 23*r**5/20 + r**2 - 4. Find the third derivative of d(v) wrt v.
-120*v**3
Let v(t) be the first derivative of -t**7/420 - t**5/60 - 2*t**3/3 + 2. Let p(u) be the third derivative of v(u). Find the second derivative of p(b) wrt b.
-12*b
Let r(b) be the second derivative of -b**6/120 - b**4/12 - 3*b**2/2 + b. Let k(h) be the first derivative of r(h). Find the second derivative of k(f) wrt f.
-6*f
Suppose -r + 24 = -6. Suppose -4*v + 0 = -o + 6, -r = -5*o - 3*v. What is the second derivative of -2*b - 6*b**2 - b**3 + o*b**2 wrt b?
-6*b
Let f = 28 + -25. Find the second derivative of j**4 + 4*j**3 - j**3 - f*j**3 - 3*j wrt j.
12*j**2
Let p(w) be the second derivative of 1/12*w**4 + 0*w**7 + 0*w**3 + w + 0*w**6 + 0*w**5 + 1/56*w**8 + 0 + 0*w**2. Find the third derivative of p(b) wrt b.
120*b**3
Let n = 4 - 7. Let l(q) = -9*q**4 - 4*q**2 - 1. Let y(c) = 9*c**4 + 3*c**2 + 2. Let x(p) = n*l(p) - 4*y(p). Differentiate x(v) wrt v.
-36*v**3
Let p(t) = -t**3 + t. Let i(r) = 3*r**3 + 4*r**2 - 6*r. Let n(a) = i(a) + 6*p(a). What is the third derivative of n(k) wrt k?
-18
Find the third derivative of -s**2 + 6*s**2 + 2*s**3 - 2*s**3 + 12*s**4 wrt s.
288*s
What is the first derivative of -496*c**4 - 17 - 10 - c + 532*c**4 wrt c?
144*c**3 - 1
What is the third derivative of -12*z**2 - 5*z**3 + 6*z**2 - 2*z**3 wrt z?
-42
Let b be -3*(-4 + -3 + 6). What is the third derivative of 61*w - 7*w**b - 61*w - 2*w**2 wrt w?
-42
Let a(o) be the first derivative of -16*o**5/5 - 13*o**3/3 - 7. What is the third derivative of a(q) wrt q?
-384*q
Suppose 0 = -0*x + 3*x. Let h = 3 - x. What is the second derivative of 2*i**3 - 4*i**3 + i**h - 2*i wrt i?
-6*i
Let r = 5 + -3. Let c(y) = -y + 4. Let i be c(2). What is the third derivative of -v**2 - i*v**5 - v**r + 0*v**5 wrt v?
-120*v**2
Let u(i) be the third derivative of -i**6/72 - i**5/30 - 2*i**3/3 - 3*i**2. Let m(p) be the first derivative of u(p). Find the second derivative of m(z) wrt z.
-10
Let m(x) be the first derivative of x**6/2 - 5*x**3/3 + 2. Find the third derivative of m(g) wrt g.
180*g**2
Let v(y) = -10*y**2 - 17*y + 11. Let h(d) = -5*d**2 - 9*d + 6. Let i(u) = 11*h(u) - 6*v(u). What is the second derivative of i(t) wrt t?
10
What is the second derivative of -28*k**2 - 27*k - 30*k**2 + 58*k**2 + 15*k**4 wrt k?
180*k**2
Let w be 39/9 + (-2)/6. Suppose 0 = 4*v - w*n - 24, -2*v - 7 = 5*n + 9. Find the third derivative of 0*g - v*g**3 + 2*g | {
"pile_set_name": "DM Mathematics"
} |
t?
False
Is (-3678)/(-16) - ((-115)/(-40) - 3) a multiple of 23?
True
Let x = 1 - 1. Suppose 3*r - 4*o - 3 = x, -3*o - 7 = -2*r - 2*o. Suppose -5*b = -3*n + 34, 3*n - b = -r*b + 16. Does 8 divide n?
True
Let s = 32 - 61. Let c = s + 62. Does 11 divide c?
True
Suppose 3 = 2*v - 2*t + 1, v + 3*t - 1 = 0. Does 8 divide (136/16)/(v/2)?
False
Suppose 4 = -3*j + 2*m + 8, 0 = 3*j + 2*m + 4. Suppose -6 = -2*d + c - j*c, 5*c - 40 = -4*d. Suppose -3*l - 2*v + 9 = -d*v, 5*l + 2*v = 15. Is 2 a factor of l?
False
Let m be 4*(2 - 1)/1. Suppose -6 - 14 = -2*s - 4*g, 2*g + 6 = 0. Suppose 4*o = 8, q - m*o - s = o. Is 14 a factor of q?
False
Is ((-4)/5)/(13/(-390)) a multiple of 4?
True
Let k = 20 - -63. Suppose -7*t + 2*t - z = -k, -4*t - z + 66 = 0. Is 14 a factor of t?
False
Is ((-2)/6)/(3 - (-1028)/(-342)) a multiple of 19?
True
Suppose 5*f = 7*f - 4. Suppose -f*a + 2*g + 12 = 0, 2*a - 7*a = 3*g - 30. Suppose m = a*m - 290. Is m a multiple of 17?
False
Suppose -4*a = 0, 3*o - o - 8 = -a. Suppose 14 = i + o. Let m = 14 - i. Is m a multiple of 2?
True
Let i be (-5)/10*(-3 + -1). Suppose 0*v = i*v - 56. Does 14 divide v?
True
Suppose 3*t - 3*m = -m - 71, -4*t + 4*m - 100 = 0. Let c be t/(-6) + (-4)/(-8). Does 13 divide ((-39)/4)/(c/(-16))?
True
Suppose -3 = 2*o - 23. Let h be (-3)/6 - o/(-4). Suppose g + j = 26, g - j = 16 + h. Is g a multiple of 11?
True
Suppose 5*v + 148 = 4*s, 5*v = 5*s - 2*s - 116. Let o be (7/(-4))/((-4)/s). Suppose -3*y - l + o = l, -3*l + 19 = 4*y. Is 3 a factor of y?
False
Let h(a) = 15*a - 2. Let g be h(2). Let p = g - 44. Is 5 a factor of (15/4)/((-6)/p)?
True
Suppose 0 = -a - 4*a - 30. Let v be a/15 + 2/5. Suppose r = -h + 21, v = 3*r - 2*h - 2*h - 70. Is r a multiple of 9?
False
Suppose 7 = -s + m + 3, -4*s = -5*m + 19. Is (s + (-23)/4)*-4 a multiple of 9?
True
Let y(h) = -5*h + 156. Is 39 a factor of y(0)?
True
Is (-1 + 0)*1*-14 a multiple of 7?
True
Let w(r) = 3*r**2 + 5*r - 1. Let t = -15 - -11. Does 7 divide w(t)?
False
Let j = -34 - 2. Let g = 62 + j. Suppose -g = -3*l + x, -3*l - 2*x = 2*l - 25. Is l a multiple of 7?
True
Suppose 5*n = -7 - 3. Let f = 24 + -12. Is 5 a factor of n/(-8) + 93/f?
False
Is ((-10)/(-6))/((-5)/(-45)) a multiple of 3?
True
Suppose 8 = t - 48. Does 14 divide t?
True
Let d(f) = -f**3 - 4*f**2 + 4*f - 1. Is 2 a factor of d(-5)?
True
Suppose 2*q - 18 = -2*b + 8, q - 1 = 0. Is b a multiple of 5?
False
Suppose 2*r = -d + 66, d - 3*r = 5*d - 289. Is 27 a factor of d?
False
Let k = -9 - 11. Does 5 divide 6*k/(-6)*1?
True
Let w = 6 - 6. Is (-1 - w)/((-1)/16) a multiple of 8?
True
Let q(d) = -4*d - 5. Let u be q(12). Let k = u + 10. Let s = k - -88. Is s a multiple of 20?
False
Let q be 0 + 12 + 1 - 0. Let k = -8 + 3. Let z = k + q. Is z a multiple of 3?
False
Let j(p) = -p**2 + 8*p - 2. Let v be j(6). Let m(n) = 2*n + 7. Is m(v) a multiple of 11?
False
Let a(h) = 36*h**2. Let j be a(-1). Suppose 4*b = -4*v + j, 3*b = -2*v + v + 13. Is v a multiple of 7?
True
Let g(h) = 8*h - 1. Let i be g(1). Let l(u) = u**3 - 5*u**2 - u - 1. Let z be l(i). Suppose 0 = -5*v + 10 + z. Is v a multiple of 20?
True
Let j = -26 + 61. Suppose -l + 5*h - 17 = 0, j = -3*l - h - 0*h. Let k = l - -26. Does 14 divide k?
True
Let f = 166 + 15. Is f a multiple of 16?
False
Is -1 + 95 + -3 + 1 a multiple of 23?
True
Suppose -3*q - 36 = -7*q + 3*f, 3*q = 2*f + 26. Suppose 0 = g - q*g + 325. Is g a multiple of 26?
False
Let p(i) = i - 1. Let y(l) = -l**2 - 5*l + 8. Let n(w) = -p(w) - y(w). Let m be n(-5). Is (4/(-3))/(m/6) a multiple of 3?
False
Suppose 2*v = -2*o + 20, 27 = 5*v - 5*o - 3. Suppose 201 = 5*q - k + v, 2*q + 3*k - 67 = 0. Does 8 divide q?
False
Let u = 8 - -10. Does 14 divide 6/(-4)*(-372)/u?
False
Suppose 8 = -4*n - 0. Let p be (-2 + 1)/(1/(-2)). Is p - n*(-25)/(-2) a multiple of 12?
False
Suppose 2*s - 12 = -5*c - 0, -5*s = 2*c - 9. Suppose 0 = 3*y + 3*w - 72, -5*y + 3*w + 114 - c = 0. Is 9 a factor of y?
False
Let r(f) = -f**3 - 4*f**2 + 5*f - 3. Let o be r(-5). Let g = o + 5. Suppose 5*w - 15 = 2*q, 0 = 3*w + q + g*q - 30. Does 3 divide w?
False
Let v = -2 + 1. Let a be 1/(v*3/(-36)). Suppose 0 = -5*k + 2*c + 20, -k + 5*c = 2*k - a. Does 3 divide k?
False
Let j(l) = -7*l**2 - 1. Let d be j(1). Is 23 a factor of 2/d - 1108/(-16)?
True
Suppose -y - 51 = -4*y. Does 9 divide y?
False
Let a(u) be the second derivative of 11*u**4/12 + 2*u**3/3 + 3*u**2/2 + 5*u. Is a(-2) a multiple of 11?
False
Is (-2)/7 - (-230)/(-35)*-11 a multiple of 13?
False
Suppose 0 = 5*j + h - 264, -7*j + 207 = -3*j + 5*h. Is 21 a factor of j?
False
Suppose -3*n - 153 = 5*s - 478, 4*n = -20. Is 34 a factor of s?
True
Let t = 6 + -4. Suppose 0 = -7*b + 3*b + 3*s + 18, -t*b = 4*s + 2. Suppose 0 = n - 5*x - 31, -b*n + 43 = 2*x - 7*x. Is 6 a factor of n?
True
Let p(x) = 2*x**2 - 2*x - 4. Let b be p(2). Suppose b*n - 4*n = -112. Is 11 a factor of n?
False
Let m = 111 + -46. Let c = m + -25. Let y = c + -22. Is 6 a factor of y?
True
Let g(c) = 11*c**2 - 4*c + 5. Does 10 divide g(2)?
False
Let r = -12 - -13. Let y(f) = 54*f**2 - 2*f + 1. Does 20 divide y(r)?
False
Suppose -37 = -5*f - 4*d, 5*d + 17 - 7 = 0. Let l = -4 + f. Is l a multiple of 5?
True
Let t(a) = -a**3 - 12*a**2 - 11*a - 2. Let b be t(-11). Let n = 2 - b. Suppose 44 = 4*m - n. Is m a multiple of 6?
True
Suppose 0 = -u + 1, -3*u - 2*u = 5*r - 185. Let f be 5*(r/(-15) - -2). Let d = f + 21. Is 7 a factor of d?
False
Suppose -5*j = -c - 17, 2*c = 4 + 2. Suppose -z + 28 = j. Is 6 a factor of z?
True
Suppose 0 = 2*x + 5*l - 91, 5*x + 0*x - 193 = -l. Suppose -4*a = -3*a - x. Is 19 a factor of a?
True
Suppose 0 = 2*v + 2*v - p - 754, 0 = 4*v + 3*p - 746. Is v a multiple of 37?
False
Suppose 42 = -2*f - f. Let d = f - -20. Is 6 a factor of d?
True
Suppose 2*t = 4*t - 2*g - 128, 118 = 2*t - 4*g. Is t a multiple of 7?
False
Let u be 0 + (0/(-1))/(-2). Suppose 3*y + p - 32 = u, -y + 36 = y - 3*p. Is 3 a factor of y?
True
Let u = 3 + -1. Suppose u*o + 2 = -6. Is (8/6)/(o/(-66)) a multiple of 11?
True
Let w = -459 - -691. Suppose 6*m - 4*u = 2*m + 184, 5*m - 4*u - w = 0. Is 22 a factor of m?
False
Let i(q) = 5*q - 4*q + 21 - 9. Let o be i(-7). Suppose o*l = -25 + 80. Is 11 a factor of l?
True
Let v = 0 + 59. Let y = v - 38. Is 11 a factor of y?
False
Let i(v) = -v + 10. Let h be i(7). Suppose -4*k + r + r + 8 = 0, -6 = -h*k - 2*r. Suppose -2*b = -5*y + 13 - 4, -b = k*y - 18. Is b a multiple of 8?
True
Does 18 divide (108 + -1)/((-10)/(-10))?
False
Let c = 9 - 3. Suppose -4*a - u - 4*u - c = 0, -a - 3*u = 5. Is 19 a factor of a/(-4) + (-459)/(-12)?
True
Let g = 4 - 1. Suppose -g*p + 88 = -p. Is 19 a factor of p?
False
Suppose 96 + 315 = 3*h - 2*a, 408 = 3*h - a. Is h a multiple of 31?
False
Let o(s) = -s**3 + 19*s**2 + 2*s - 14. Is o(19) a multiple of 4?
True
Let c = 9 - 5. Suppose q + c - 31 = 0. Is 8 a factor of q?
False
Suppose -r = r + 6, 4*d - 228 = 4*r. Let z = d - 21. Does 17 divide z?
False
Suppose -2*s = 5*z - 194, -4*z = 2*s - s - 103. Suppose 3*g + s = 2*x, 0 = -2*x + 6*x - 5*g - 175. Does 9 divide x?
True
Suppose -3*t - 5*k - 2 = 0, 3*t - 7 = t + 5*k. Let x = t - -2. Suppose 3*u + 2*h - 39 = 0, -u + x*h + 1 = -1. Does 11 divide u?
True
Suppose 73*j + 72 = 76*j. Does 2 divide j?
True
Suppose -3*n = -0*n - 4*s - 309, 4*n - 399 = s. Is 33 a factor of n?
True
Let f(i) = -2*i**2 + 2*i + 2. Let p be f(-2). Let a be 61/(-3) + 8/(-12). Is p/(-6) - 7/a even?
True
Does 3 divide 21 + 1 - ((-6)/(-1) - 2)?
True
Let w(q) = 2*q**3 + 4*q - 2. Is 4 a factor of w(2)?
False
Suppose 3*n - 18 = -4*j - 0*n, -25 = -5*j - 5*n. Is 3 a factor of 1 - (j - -3)/(-2)?
False
Does 22 divide (-21*1)/((-11)/22)?
False
Let o be 38/10 - 1/(-5). Suppose -2*a = -o*a + 44. Is 11 a factor of a?
True
Suppose 0 = -f + 6 - 8. Does 5 divide ((-105)/14)/(1/f)?
True
Let g(h) = -4 + 1 - h + 2. Let v be g(-7). Does 13 divide 3/(9/v)*13?
True
Let d(u) = -9*u**3 - u**2 - 2*u. Let c be d(-2). Let w = c - 48. Is 24 a factor of w?
True
Let a = -8 - -3. Let y = 3 + a. Let w(s) = 7*s**2 - 2*s - 2. Does 16 divide w(y)?
False
Let t = -81 - -179. Does 14 divide t?
True
Suppose -2*d - g + 6 = 3*g, -4*d = g - 12. Suppose -t = d - 16. Is t a multiple of 4?
False
Let k = -13 + 23. Is 15 a factor of k - 11 - -15*3?
False
Suppose -6*i - t + 453 = -5*i, -3*t | {
"pile_set_name": "DM Mathematics"
} |
- 325*d**2 + 5*d**4 + 835*d**3 - 444*d**3 - 446*d**3.
5*d*(d - 15)*(d - 1)*(d + 5)
Let o(m) be the third derivative of -11*m**2 - 3/160*m**6 - 1/32*m**4 + 1/280*m**7 + 0 + 3/80*m**5 + 0*m**3 + 0*m. Let o(k) = 0. Calculate k.
0, 1
Factor -80*h - 1/5*h**5 + 0 - 42/5*h**4 - 481/5*h**3 - 168*h**2.
-h*(h + 1)**2*(h + 20)**2/5
Let n be (6/(-4))/(3/30). Let f be n/3*4*(-3)/30. Suppose 0 - 4/3*r - 14/3*r**f = 0. Calculate r.
-2/7, 0
Let f(s) = s**2 - 18*s - 35. Let u be f(20). Let n(i) be the first derivative of -1 + 0*i**2 - 2/35*i**u + 0*i - 2/21*i**3 - 1/7*i**4. Factor n(y).
-2*y**2*(y + 1)**2/7
Let o(c) = -12*c**4 - 63*c**3 - 84*c**2 - 27*c + 6. Let s(x) = -x**3 - 2*x**2 - x. Let a(t) = -2*o(t) + 10*s(t). Factor a(m).
4*(m + 1)**2*(m + 3)*(6*m - 1)
Suppose 0 = -5*o + 3027*z - 3031*z + 14, -2*z + 2 = 0. Factor 0 + 2/7*w**o + 6/7*w**4 + 0*w - 8/7*w**3.
2*w**2*(w - 1)*(3*w - 1)/7
Let z(y) be the second derivative of y**7/840 - y**6/360 - y**5/24 - y**4/8 + y**3/2 - 5*y. Let p(m) be the second derivative of z(m). Let p(l) = 0. What is l?
-1, 3
Let y(c) = -6*c - 38. Let f be y(-7). Let r(d) be the second derivative of -1/4*d**2 - 2*d + 0 + 1/24*d**3 + 1/48*d**f. Factor r(h).
(h - 1)*(h + 2)/4
Determine x so that 3*x + 1/2*x**3 - 7/2*x**2 + 0 = 0.
0, 1, 6
Let h(b) = b**3 - 19*b**2 - 20*b - 20. Let k be h(20). Let z be k*2/(-16) - (2 + -1). Factor 3*q + z + 3/2*q**2.
3*(q + 1)**2/2
Let k(c) be the first derivative of -c**4/6 + 28*c**3/9 - 25*c**2/3 + 8*c + 91. Factor k(b).
-2*(b - 12)*(b - 1)**2/3
Let x(a) be the second derivative of -a**6/15 - 41*a**5/10 - 220*a**4/3 - 400*a**3/3 + 110*a + 3. Factor x(c).
-2*c*(c + 1)*(c + 20)**2
Let r(m) = -51*m**2 + 42*m**2 - 8*m + 0 + 4 - m**3. Let a be r(-8). Factor -i**2 + 5*i**2 + a*i**2 + 4*i.
4*i*(2*i + 1)
Solve -17/5*x**2 - 1/5*x**3 + 17/5 + 1/5*x = 0 for x.
-17, -1, 1
Let m(o) = -28*o**4 - 104*o**3 - 80*o**2 + 48*o + 8. Let u(v) = -2*v - 1. Let r(c) = m(c) + 8*u(c). Let r(k) = 0. Calculate k.
-2, 0, 2/7
Find a such that -44 - 335*a + 45*a**3 - 196 - 100*a**2 + 63*a**3 - 113*a**3 = 0.
-16, -3, -1
Let a(x) = 30*x**4 + 10*x**3 - 25*x**2. Let p = 37 - 33. Let l(q) = 29*q**4 + 9*q**3 - 25*q**2 - q. Let m(o) = p*a(o) - 5*l(o). Let m(c) = 0. What is c?
-1, -1/5, 0, 1
Let r(t) be the first derivative of -t**3/2 - 117*t**2/4 - 198. Factor r(j).
-3*j*(j + 39)/2
Let v(n) be the second derivative of 2*n**5/85 + 14*n**4/51 + 25*n**3/51 + 6*n**2/17 - 88*n. Let v(q) = 0. Calculate q.
-6, -1/2
Suppose 0 = 2*i - g - 11, -8*i - g = -7*i - 7. Let h(z) be the first derivative of -9/2*z**2 - z**3 - i*z - 5. Factor h(t).
-3*(t + 1)*(t + 2)
Let r(p) = -p**4 + p**3 + 2*p**2 + p + 1. Let y(k) = k**5 + 2*k**4 - 16*k**3 - 7*k**2 + 5*k - 5. Let n(f) = 5*r(f) + y(f). Determine q so that n(q) = 0.
-2, -1, 0, 1, 5
Let y = -315 + 318. Let z(q) be the first derivative of 8/15*q**3 + 0*q + 0*q**2 + 6/5*q**4 - y - 14/25*q**5. Factor z(w).
-2*w**2*(w - 2)*(7*w + 2)/5
Let c(i) be the first derivative of -2*i**5/25 + 3*i**4/5 - 14*i**3/15 - 6*i**2/5 + 16*i/5 - 142. Solve c(j) = 0 for j.
-1, 1, 2, 4
Suppose -5*l = 3*t - t + 40, 3*t = -3*l - 24. Let x be (-1)/(-4) + (44/l)/(-11). Factor 0 + x*h**2 - 9/4*h.
3*h*(h - 3)/4
Let m(g) be the third derivative of 0*g - 28*g**2 + 1/110*g**6 + 0 - 1/385*g**7 + 0*g**3 - 1/110*g**5 + 0*g**4. Determine p, given that m(p) = 0.
0, 1
Suppose 44*q - 12*q = 64. Factor -20/7*d**3 - 8/7*d**q + 0 + 0*d.
-4*d**2*(5*d + 2)/7
Suppose -4*y = -4*n - 80, 4*y - 3 - 65 = -2*n. What is x in -3*x - 3*x**5 - 17*x**2 - y*x**3 + 29*x**2 + 7*x**4 + 5*x**4 = 0?
0, 1
Let j(n) be the first derivative of 0*n + 1/4*n**4 + 0*n**2 - 1/12*n**6 - 1/10*n**5 - 29 + 0*n**3. Factor j(a).
-a**3*(a - 1)*(a + 2)/2
Let u(t) be the second derivative of -t**8/336 - t**7/56 + t**5/6 - 5*t**3/3 + 4*t. Let m(p) be the second derivative of u(p). What is o in m(o) = 0?
-2, 0, 1
Suppose -3*w - 3*x + 6 = 0, w - 3*x - 6 = -2*w. Let g be (6/(-14) - 66/(-105))*w. Factor 0 + g*k + 2/5*k**3 - 4/5*k**2.
2*k*(k - 1)**2/5
Let v(t) be the first derivative of -9/4*t**4 + 6 + 9/2*t**2 - 6*t + t**3 + 3/5*t**5. Factor v(j).
3*(j - 2)*(j - 1)**2*(j + 1)
Solve -75/2*r**3 + 5/4*r**4 + 2025*r + 585/4*r**2 + 3645 = 0.
-3, 18
Let p be (-110)/(-176)*72/50. Let u(c) be the first derivative of -c + p*c**5 - 11/4*c**2 - 7/6*c**3 + 11/8*c**4 + 10. Factor u(z).
(z - 1)*(z + 1)**2*(9*z + 2)/2
Let t(i) be the first derivative of -5*i**3/3 + 5*i**2 + 15*i + 130. Determine a, given that t(a) = 0.
-1, 3
Factor -2 + 42/11*w - 18/11*w**2 - 2/11*w**3.
-2*(w - 1)**2*(w + 11)/11
Let y(u) be the first derivative of -3/4*u**4 + 0*u - 9/5*u**5 + 39 - 1/2*u**2 + 5/3*u**3. Find c such that y(c) = 0.
-1, 0, 1/3
Let h = -35 - -37. Factor 0*u - 10*u + 2*u**h + 2*u**2 + 6*u.
4*u*(u - 1)
Let t = 28704 - 315740/11. Let r be (-64)/(-77) + (-2)/7. Suppose t*l + 2/11*l**3 + 0 + r*l**2 = 0. What is l?
-2, -1, 0
Let q(a) = -a**2 + 12*a + 6. Let i be q(12). Let z(b) = -5*b**2 + 8. Let f(s) = 19*s**2 - 32. Let v(l) = i*f(l) + 22*z(l). Factor v(k).
4*(k - 2)*(k + 2)
Let w(n) = n**3 + 1. Let d(i) = 8*i**3 - 10*i**2 - 5*i + 13. Suppose s - 2*k = -2*s + 3, -5*s + 4*k + 3 = 0. Let g(r) = s*w(r) - d(r). What is l in g(l) = 0?
-1, 1, 2
Let i = 43 + 24. Let -15*q**2 + 5*q + 5*q**4 + 69 - 126 - 5*q**3 + i = 0. Calculate q.
-1, 1, 2
Let c(i) be the second derivative of i**6/90 - i**5/6 - i**4/3 + 52*i**3/9 + 80*i**2/3 + 282*i. What is p in c(p) = 0?
-2, 4, 10
Let r(g) = -2*g**3 + 6*g**2 - 8. Let x be 90/27 - (-4)/6. Suppose 2 = x*z - 10. Let w(s) = -s**3 + 3*s**2 - 4. Let q(i) = z*r(i) - 5*w(i). Factor q(o).
-(o - 2)**2*(o + 1)
What is g in 169*g - 160*g + 0*g**2 - 3*g**2 = 0?
0, 3
Let c(r) = -46*r - 2. Let m be c(-1). Factor 47*s**4 - m*s**4 - s**2 - 3*s**3 + s**2.
3*s**3*(s - 1)
Let g(f) = -2*f - 7. Let x be g(-5). Suppose -4*u = -3*k + 22, u - 4 = 2*u. Factor -m**4 + x*m**4 + 16*m**k - 18*m**2.
2*m**2*(m - 1)*(m + 1)
Let k(g) = -g**3 + 7*g**2 - 10*g - 8. Let t be k(6). Let n = t + 32. Factor n*l**2 + 3*l**3 + l**2 - 4*l**2.
3*l**2*(l - 1)
Suppose -2/3*a**3 + 32/3*a + 20/3 - 17/3*a**2 = 0. What is a?
-10, -1/2, 2
Suppose -13*w + 54 = -50. Suppose 5*j = -5*r, 2*j = 3*r + j - w. Factor 6/5*z**3 - 3/5*z**r - 3/5*z**4 + 0*z + 0.
-3*z**2*(z - 1)**2/5
Factor -52/5*g**2 + 0 + 4/5*g**3 + 24*g.
4*g*(g - 10)*(g - 3)/5
Let x(f) be the third derivative of -f**5/60 - f**4/6 + 2*f**2 - 79*f. Suppose x(d) = 0. Calculate d.
-4, 0
Suppose g = -g - 8. Let f(t) be the second derivative of t**4/6 - t**3 - 4*t**2 + 2*t. Let h(z) = -z**2 + 1. Let x(i) = g*h(i) - f(i). Factor x(y).
2*(y + 1)*(y + 2)
Let q(c) be the second derivative of -c**6/300 - c**5/150 + c**4/30 + 5*c**2 - 4*c. Let m(u) be the first derivative of q(u). Solve m(j) = 0 for j.
-2, 0, 1
What is i in 72/7 + 102/7*i + 33/7*i**2 + 3/7*i**3 = 0?
-6, -4, -1
Let k(y) be the first derivative of -4*y**3/3 + 28*y**2 + 60*y + 216. Factor k(b).
-4*(b - 15)*(b + 1)
Let 1/3*i**3 + 6348 + 6256*i - 275/3*i**2 = 0. What is i?
-1, 138
Let x(r) be the second derivative of -5/2*r**2 + 0 + 23*r + 35/36*r**3 + 25/72*r**4. Factor x(t).
5*(t + 2)*(5*t - 3)/6
Suppose -3*x = 9*m - 4*m - 11, -m + 7 = 3*x. Suppose -14*j**3 + j**4 - j**x - 9*j**3 + 3*j + 20*j**3 = 0. What is j?
-1, 0, 1, 3
Let p(i) = i**4 - i**3 - i**2 + i. Let d(z) = 11*z**4 - 8*z**3 - 14*z**2 + 8*z + 3. Let l = -19 + 20. Let w(u) = l*d(u) - 5*p(u). Solve w(t) = 0.
-1, -1/2, 1
Let y(a) be the first derivative of 1/7*a**4 - 4/7*a**3 + 6/7*a**2 - 4/7*a - 2. Factor y(s).
4*(s - 1)**3/7
Suppose 0 = 3*s - 2*s + 5*i + 95, 0 = -2*s + 5*i - 115. Let p = -279/4 - s. Factor -p*j**3 - 1/4*j + 0 + 1/2*j**2.
-j*(j - 1)**2/4
Let y be (0/10)/((-6)/(-2)). Let z(h) be the second derivative of -1/6*h**4 + 0 + 0*h**2 + y*h**3 - 3*h. Factor z(t).
-2*t**2
Let t(j) = -9*j**2 - 712*j - 14392. Let s(l) = -6*l**2 - 475*l - 9595. Let g(m) = 8*s(m) - 5*t(m). Let g(h) = 0. What is h?
-40
Suppose -2*g = 3*g - 15. Suppose 0 = 4*v + 4*d + 24, -5*d - 23 - 7 = 0. Factor 0 + v*q**4 + 0*q**2 + 1/2*q**5 + 0*q - 1/2*q**g.
q**3*(q - 1)*(q + 1)/2
Let j(v) be the second derivative of -v**7/42 + v**6/30 + v**5/4 - v**4/12 - 4*v**3/3 - 2*v**2 + v + 25. Factor j(n).
-(n - 2)**2*(n + 1)**3
Find u, given that 288/5*u - 1036*u**2 + 5184/5 - 288/5*u**3 - 4/5*u**4 = 0.
-36, - | {
"pile_set_name": "DM Mathematics"
} |
at is the value of (-3)/(-1) + (-545)/545?
2
What is the value of (24/36)/(3 + 28/(-6))?
-2/5
What is 6 + -1 + (480/(-3600))/(12/370)?
8/9
What is the value of (-147)/(-539)*-66 + (-150)/(-8)?
3/4
Evaluate 100/96 - ((-6)/(-4) - 36/72).
1/24
Evaluate (-24)/(-2) + -24 - -11.
-1
(((-288)/(-60))/(-12))/(8/110) - -5
-1/2
Calculate 25 - (1 - -9) - 22.
-7
Calculate (-100)/(-15)*11*150/440.
25
(-90 - -73) + (4 - -15)
2
What is the value of -110*(-51)/((-23001)/(-82))?
20
(-756)/65 - -1 - (-32)/80 - -11
10/13
10 - (-9 - -14) - ((-8 - -7) + -4)
10
Calculate (-1462)/(-43)*1/(-4) + 9.
1/2
What is the value of (-40*3/(-18))/(-3 - (-13)/3)?
5
((-129)/172 - 94/(-104)) + 88/(-234)
-2/9
Evaluate (30 + -33)/((-1)/9)*2/9.
6
What is (-72)/5 - -11 - 16/(-40)?
-3
Calculate 18/(-28)*(-77)/12*(-374)/(-2057).
3/4
2/5 + (146/10 - 6)
9
Evaluate (-84)/3480*-10*(-8)/28.
-2/29
(-12)/(-28) + (3/(-4))/(81/54)
-1/14
Evaluate (8 - (-9 + 24))/1.
-7
Evaluate (205 + -206)/(0 + (-1)/(-2)).
-2
What is (2 - 0)/(15 - 1976/133)?
14
(-2712)/1243*(-33)/6
12
What is (18 - -3)*(-35 - -37)/(-6*3)?
-7/3
Evaluate (-6 + 63/12)*(3 - 25/9).
-1/6
-16 + -3 + (32 + 0 - -1)
14
(4/(-22) - (-7413)/539) + 21/49
14
(-2)/24*(-1680)/(-252)*3
-5/3
Evaluate ((-132)/(-396))/((-20)/6).
-1/10
What is 531/18 + (209/(-22) - -7)?
27
Evaluate ((-16)/80)/(6/60) - 2.
-4
What is the value of (-33)/(((-8)/(-24))/((-12)/54))?
22
(-5 - 648/(-56))*5/((-10)/(-7))
23
Calculate 1 + 582/(-48) - -11.
-1/8
Calculate -45 + 125 + -84 + (-2)/(4/(-6)).
-1
What is the value of (-25053)/(-1911) + -15 - 36/(-78)?
-10/7
What is 2/(-25) + (-89948)/(-4975)?
18
Evaluate (200/16 + -8)*((-328)/(-156) + -2).
6/13
Evaluate -2 + (-53)/(-28) + (-55)/385.
-1/4
Evaluate ((-2)/(-6))/(-3*(-15)/45).
1/3
What is the value of (8250/(-363) - -23)/((-3)/4*2)?
-2/11
What is (3/(-10))/(258/24 + -11)?
6/5
What is (-3)/(-4) - 744/992?
0
(-4565)/(-830)*(-24)/(-154)*(-1 - 13)
-12
Evaluate 212/(-477) - (-1)/(-3 - -12).
-1/3
What is (2215/(-1329))/((-5)/(-6))?
-2
2*(-11)/(990/170)*(-33)/44
17/6
2/10*(-108)/270
-2/25
(46398/(-190))/33 + (1 + -17)/(-2)
3/5
Calculate (7 - (-10 + (-407)/(-22)))/((-6)/(-36)).
-9
What is 17/26 - (275/(-220) + (-73)/(-52))?
1/2
Calculate 12 - ((-861)/9)/(-7).
-5/3
What is (29/2 - (26 + -25))*(-19)/228?
-9/8
Evaluate (-1136)/4828 + (-251)/17.
-15
What is 13 + (32 - 27) + -14 + 0?
4
12560/(-8400) - ((-17)/5 + 2)
-2/21
2 - (36/(-8)*-2 + (3 - 0))
-10
(-638)/198 - 10 - -13
-2/9
Calculate (-782)/2346 + 68/6.
11
Evaluate (-275)/(-1540)*(-40)/125.
-2/35
What is the value of ((-3)/12)/((-39)/(-52))?
-1/3
Evaluate (752/1128)/((-3)/(54/15)).
-4/5
What is ((-33)/(-24))/(737/(-938))?
-7/4
Evaluate (7 - 272/40)/((-198)/(-30) + -4).
1/13
What is (4/8*-12)/((-222)/185)?
5
(9*6/189)/((-4)/266*-1)
19
Calculate (-9 - -8)/((-5)/(-25)) - -3.
-2
Evaluate ((-20)/18)/(-4*12/864).
20
Calculate (14/(-98) - 408/(-2660))*10.
2/19
Evaluate ((-3)/(-2))/(1/4 - (-364)/224).
4/5
What is (3/9)/((-2)/8) + 90/(-135)?
-2
Calculate 17 - (-5287)/(-306) - (-1)/2.
2/9
((-42)/(-12) - 3)*(-2)/4
-1/4
What is 0/(-1) - 64/(-322) - (-1236)/(-4326)?
-2/23
What is the value of 24*16/(1600/75)?
18
Evaluate (-1*6/(-34))/((-30)/(-20)).
2/17
Calculate (-7)/((-630)/(-1535)) - -17.
-1/18
What is the value of 3944/646 + (2/(-5))/(2/30)?
2/19
Calculate (-3)/(-5) - (-11 - (-249)/15 - -6).
-11
Calculate (63/(-45))/(57/(-15) - -4).
-7
-5*2/(-140)*63/(-18)
-1/4
What is the value of 7*(-11 - (-900)/84)?
-2
What is the value of ((-5)/(-25))/(30/(-1050))?
-7
(41/287 - (-2)/14)/((-12)/(-28))
2/3
-6 - 6/(288/(-80))*(-126)/15
-20
What is ((-7)/3)/((-2145)/135 - -16)?
-21
What is the value of 7 - (72/20 + (-31 - -32))?
12/5
Calculate (-28)/(-126) + (-2)/(18/47) + 17.
12
What is (-6)/64*150/225?
-1/16
154/(-18) + 51/(-297) + (-189)/693
-9
What is 0/(7*(7 - (6 - 70/(-49))))?
0
What is ((-22)/10 - -3)*(-4180)/152?
-22
What is the value of 5/4*(31 - 35)?
-5
What is ((-90)/25)/(8*(-3)/60)?
9
Calculate (999/(-108) + 8)/(((-3)/6)/(-1)).
-5/2
1*(4 - (-76)/(-20))*45/9
1
What is the value of (-21150)/(-45825)*(1 + 4/(-6))?
2/13
What is the value of (-448)/168 + 380/30?
10
What is the value of 4 + (210/168)/(-2*(-1)/(-24))?
-11
Calculate (-70)/28 - (2 + 170/(-36)).
2/9
What is (-25)/(1575/(-36)) + 0?
4/7
What is ((-6)/12*6/4)/((-81)/96)?
8/9
What is the value of (30/(-4))/((-497)/(-994))?
-15
63504/(-72072) + (-2)/(-13)
-8/11
Calculate 48/12 - -6*72/(-220) - 2.
2/55
What is the value of ((-6)/9)/((-1392)/(-234) + -6)?
13
Evaluate (135/18)/(66/44).
5
22 + (-24 - (-40 - -21))
17
(-30)/((-2)/(-3) - (-465)/(-90))
20/3
Calculate 6 + 90/35 - (-30)/70.
9
What is (50 + (-32332)/649)/((-16)/(-66))?
3/4
What is the value of 11/((-2090)/57)*(-28)/21?
2/5
((-3024)/300 + 10)*(-2 - -3)
-2/25
Calculate (1/(-21))/(16/(-280)*5).
1/6
What is the value of 150/3375 + 3/945?
1/21
Evaluate (-200)/56 + 4 - 180/28.
-6
What is the value of (-2)/35 - 10988/8610 - (-93)/63?
1/7
Calculate (-4213)/(-2298)*((0 + 1)*-1)/1.
-11/6
Calculate (8/40)/(3 - 4 - -2).
1/5
Calculate -2 + 1 - (7/((-70)/(-110)) + -8).
-4
(-52432)/(-2320) + (-4)/(-10)
23
(-5)/2 - (-5)/3*3
5/2
1266/(-1116) - 15/465
-7/6
(2795/1290)/((-1)/(-6))
13
What is ((-32)/96)/(3/(-81))?
9
(33/55 + 126/(-35))/((-3)/2)
2
Evaluate 3 - 20 - (-34)/((-22440)/(-11130)).
-3/22
What is (-20)/15 + 97/21 - 2?
9/7
((432/60)/12)/(102/(-20))
-2/17
Calculate ((-3)/((-63)/(-14)))/((-7)/21 - 5).
1/8
What is the value of 48/144*(36 - 6)?
10
What is (3615/(-402) - (-324)/36)*(-4)/1?
-2/67
What is ((-7)/(-4))/(54 + -37 + 27/(-2))?
1/2
Evaluate (-21)/(-35)*120/(-12) + 7.
1
-35*35*25/6125
-5
What is (40/32)/((-23)/(-24) + (-95)/95)?
-30
1852/1389 - 38/6
-5
41/(-46125)*25*-30
2/3
Evaluate (20/42)/5 + (12815/(-105))/11.
-11
What is (-2)/10*15 - -2?
-1
Calculate (-16)/(-18) + (-24000)/(-3375).
8
-18*7/4*(-8)/18
14
-27 + (0 + 244/(-62) - (-1472)/(-22816))
-31
Calculate 4*(17 + (-1384)/80).
-6/5
What is the value of ((-9)/15 + 1)*-15*(-14)/420?
1/5
Calculate (2164/301 - 7) + 1/(-7).
2/43
Calculate -6 + 2 - (2 + -3 + -8).
5
-15 - (2574/15)/(-11)
3/5
What is -1 + 8 + 2*-6 + -1 - 2?
-8
(-22)/(-10)*5 - (-18)/(-2)
2
What is 238/26 - 48/312?
9
What is (4104/16)/19 + -13?
1/2
6 + 198/55 - 36/4
3/5
Evaluate -8 - 58/(-87)*99/6.
3
Evaluate (-144)/15 + (-6)/15.
-10
(-1*(-1)/(-3))/(15/450*-1)
10
What is (376/329)/((-3)/42)?
-16
Calculate (189/140 - 1)/((-3)/12 + 0).
-7/5
What is (-20)/(-80)*(-72)/261?
-2/29
Calculate (-6)/7*(-2170)/6200.
3/10
Calculate ((-8)/46)/(73/((-365)/(-10))).
-2/23
What is the value of (78/10)/((-135)/(-225))?
13
Calculate (-23)/((-322)/28)*(-17)/(-2).
17
What is the value of (-1 + 7/3)/(26/6 + -4)?
4
Calculate (52/(-130))/(5 + (-273)/60) + 1.
1/9
Calculate (-3)/2*(-14)/(-63)*21.
-7
Calculate (10*1/2)/((-110)/1848*14).
-6
Calculate (-396)/(-80) - (1 - -7) - 12/10.
-17/4
Evaluate -3*2/(-3) + -10*100/625.
2/5
What is (-209 - -184)*(-3)/5?
15
(20/3)/(-20)*5
-5/3
What is the value of (-3 - -5 - (34 - 32)) + 7?
7
(-122)/(-671) + ((-9)/(-110))/(42/35)
1/4
Evaluate 4/20 - 580/(-100).
6
What is the value of ((-640)/(-70) - 9)*-1 + -2 + 2?
-1/7
What is (7/(-56) - 15610/(-1232)) + -12?
6/11
11/2*((-32)/8 - -2)
-11
47/11 - 60/220
4
120*(-16)/40 - -24
-24
What is the value of (24/40)/(2/(-5) - (-21)/35)?
3
Evaluate 5 - (26 - 150/15).
-11
-8 - (10/(-25))/((36/(-285))/(-2))
-5/3
Calculate (42/16)/(-21)*0.
0
4/35*307/(-614)
-2/35
(0 - (-124)/(-8)) + (-30)/40*-2
-14
What is (-90)/(-120)*160/(-270)?
-4/9
7/(1120/1752) - (10 + 1)
-1/20
(-2)/(-5)*20/(-6)*(-12)/44
4/11
(8/(-3) + 0)/(-176 - -175) - -2
14/3
What is -1 - (39/182)/((-126)/637)?
1/12
Calculate (440/33)/8 + (-86)/(-6).
16
What is (-104)/(-13) + 0 + 2?
10
What is 12/(-2) + (-8)/(14 - 13)?
-14
Calculate (4 - 2) + 11 + 1026/(-513).
11
What is (156/(-56))/((-9)/(-24)) + 7?
-3/7
13/6 - ((-1659)/(-63) + -24)
-1/6
Evaluate 16/(-12)*(-1)/((-176)/24).
-2/11
Evaluate 16/(-1) - (-448)/32.
-2
(-266 + 265)/(1/(-5)*-3)
-5/3
(99 - 93)/(15/(-2))
-4/5
Evaluate (75/21 - 3) + (-2304)/112.
-20
Evaluate (1 - -4) + 364/52.
12
What is the value of 938/(-402)*(-14 + 0 + 2)?
28
Calculate (-684)/(-126) - (-4)/7.
6
What is the value of 301/(-12) - (-679)/8148?
-25
Calculate ((-47112)/(-13776))/(-13) + 10/205.
-3/14
What is the value of 256/(-36) - (3 + (-3)/27 + -3)?
-7
Calcul | {
"pile_set_name": "DM Mathematics"
} |
Suppose -479 + 39 = -d*b - 5*h, -4*b = h - 358. Calculate the remainder when b is divided by 23.
21
Calculate the remainder when 178 is divided by 13 + (3 - (-3 - -4)).
13
Suppose 17 - 7 = 5*w. Suppose 25 = w*b + 17. Calculate the remainder when 16 is divided by b.
0
Let s = -233 - -240. What is the remainder when 87 is divided by s?
3
Suppose 5*f = -59*d + 54*d + 95, 0 = -4*d + 3*f + 90. Calculate the remainder when d is divided by 7.
0
Let j be (7/(-3))/(3/(-108)). Suppose -j = -2*o - 2. Calculate the remainder when o is divided by (14 - 3)*(-3 + 4).
8
Suppose 4*p + g + 9 - 60 = 0, 5*p + 5*g - 45 = 0. What is the remainder when (-33)/(-7) - (-4)/14 is divided by 0 + 2 - (p + -14)?
1
Suppose 0 = 5*g - 0*g - 10. Suppose 2*d + 32 - 190 = 0. Calculate the remainder when d is divided by 40/6*6/g.
19
Suppose -v - 8 = 2*m, 4*v + 0*m - 12 = 3*m. Suppose v = 2*x - 25 - 33. What is the remainder when 115 is divided by x?
28
Let w = -94 - -102. What is the remainder when 39 is divided by w?
7
Let t be 1*(2 - 31 - 0). Let g = t + 33. Suppose g*w - 3*w - 81 = 0. What is the remainder when w is divided by 21?
18
Let c = 1394 - 1388. Calculate the remainder when 119 is divided by c.
5
Suppose -2*l + 21 = 4*u + 3*l, 5*u = 4*l + 16. Let o = 701 + -682. Calculate the remainder when o is divided by u.
3
Let g = -80 + 118. What is the remainder when 69 is divided by g?
31
Suppose -10*i = -8*i - 768. Calculate the remainder when i is divided by 11.
10
Suppose 0 = -3*i + 15, -9*p - 3*i + 327 = -7*p. Calculate the remainder when p is divided by 33.
24
Let c(o) = -o**3 + 15*o**2 - 14*o + 4. Let h be c(14). Let l(v) = 2*v. What is the remainder when l(h) is divided by (10/(-4))/((-2)/4)?
3
Suppose -3*a - 6 = -0*a. Let y(r) = r**3 + 8*r**2 - 27. Calculate the remainder when y(-7) is divided by 18*(12/(-9) - a).
10
Suppose 5*r + 0*n = 4*n + 117, 0 = 5*r - 3*n - 119. Suppose u - r = -4*u - 5*g, 4*g - 8 = -u. What is the remainder when 13 is divided by u?
1
Let y(m) = -m**2 - 10*m + 22. Let h be y(-13). Calculate the remainder when (-134)/(-17) - (0 - (-2)/h) is divided by 5.
3
Let d = 112 - 93. Suppose 0 = 15*r - d*r + 120. Calculate the remainder when 147 is divided by r.
27
Suppose 0 = -55*s + 56*s - 12. Calculate the remainder when 46 is divided by s.
10
Suppose 5*f - 5 = -5*c, f - 5*f = -3*c + 38. Let l be (-59)/2*(2 + -3 - 1). Let m = l - 36. What is the remainder when m is divided by c?
5
Suppose 0 = -18*j + 45*j - 2133. Calculate the remainder when j is divided by 4/6 + (-276)/(-18).
15
Suppose j = 2*j - 8. Let z = -18 + -2. Calculate the remainder when (z/6)/(-5) + (-575)/(-15) is divided by j.
7
Let r = 56 + -24. Suppose 5*h = 2*h + c + r, 0 = -3*h - 5*c + 2. What is the remainder when 49 is divided by h?
4
Suppose 73 + 31 = -2*m. Let k be ((-17)/3)/(6/36). Let h = k - m. Calculate the remainder when h is divided by 5.
3
Suppose j + 0 - 4 = 0, 4*j = -u + 80. Let z(x) = -3*x**3 + 3*x**2 - 4*x - 11. What is the remainder when u is divided by z(-2)?
31
Suppose 0 = -17*l + 3*l + 9002. Calculate the remainder when l is divided by 54.
49
Let l(t) = -t**2 + 41*t - 122. Calculate the remainder when 69 is divided by l(37).
17
Suppose -14 + 5 = -v. Calculate the remainder when 10 is divided by (v/6)/(7/14).
1
Let a be (-14 - -208)/(-1 - 1). Let r = -90 - a. What is the remainder when r is divided by 5?
2
Suppose 39*t = 44*t + 20. Let j = 14 - t. What is the remainder when 51 is divided by j?
15
Suppose -22*p + 206 = -212. What is the remainder when 57 is divided by p?
0
Suppose -36*j + 616 = -68. Calculate the remainder when 43 is divided by j.
5
Suppose 0 = 4*y + 5*n + 5, 2*n = -3*y - 3*n - 10. Suppose -4*i = y - 9. Calculate the remainder when i is divided by 1.
0
Calculate the remainder when ((-163890)/(-225))/(6/10) is divided by 32.
30
Suppose 13*c - 32*c = -3325. What is the remainder when c is divided by 45?
40
Let u(o) = -o**3 - 2*o**2 - 13*o - 15. What is the remainder when u(-5) is divided by 43?
39
Suppose -o + r = -23, -1 - 2 = 3*r. Calculate the remainder when 28 is divided by o.
6
Suppose 35*o = 213 + 382. Calculate the remainder when 75 is divided by o.
7
Let d = 3 + 1. Let f = 8 - 6. Suppose -34 = -3*g - f*h, -g + 3*g - 5*h = 10. Calculate the remainder when g is divided by d.
2
Suppose 1 = -4*c + 197. Let z(q) = q**3 - 2*q + 25. Calculate the remainder when c is divided by z(0).
24
Suppose -3*d = 4*w - 247, -3*w + 86 + 80 = 2*d. What is the remainder when d is divided by 18?
5
Let x(f) = 18*f + 137. What is the remainder when 65 is divided by x(-6)?
7
Suppose 3*t = -2*w + 277, w - 3*t + 7*t = 131. What is the remainder when w is divided by 48?
47
Let b(q) = q**3 + 8*q**2 - 9*q + 1. Let k be b(-9). Let u be 3/2 + (-5)/(-10). What is the remainder when 50 is divided by 21/3*u - k?
11
Let n = -34 + 45. Calculate the remainder when 31 is divided by -12*(3 - n/3).
7
Suppose g = 26 + 72. Suppose 7*o + 0*o = g. What is the remainder when 152 is divided by o?
12
Suppose 2*w = 14 + 4. Suppose 5*t - 353 = -2*z, 2*t - 2*z = -2*t + 268. What is the remainder when t is divided by w?
6
Let b(q) = -q**2 - 4*q + 1. Let l = 13 + -16. Let s be b(l). Suppose -s*g - 2*v = -46, 0 = -4*g + 3*v + 28 + 23. What is the remainder when 44 is divided by g?
8
Let a = 16 + -10. Suppose 0*j = r + 4*j - 5, 2*j = -a. Calculate the remainder when -130*(0 + (-2)/4) is divided by r.
14
Let q = -345 + 648. Let n = q - 155. Suppose -4*k - a = 4*a - 199, n = 3*k + 5*a. What is the remainder when k is divided by 13?
12
Let q(b) = 2*b**3 + b + 199. Calculate the remainder when q(0) is divided by 20.
19
Suppose 3*p = 3*t + 160 + 68, -3*p - 5*t = -252. What is the remainder when p is divided by 68?
11
Suppose -19*q = q - 1200. What is the remainder when 477 is divided by q?
57
Suppose -5*m + 335 = -6*x + 11*x, 2*x + 221 = 3*m. Calculate the remainder when m is divided by 18.
17
Suppose -5*h + b - 42 = 0, 4*h - 5*b + 3 + 18 = 0. Let r = 9 + h. Let x(s) = s**3 + s**2 - s + 21. Calculate the remainder when 62 is divided by x(r).
20
Suppose 2*y = 3 + 3. Suppose -6*t + y = -3. Let u(a) = 11*a - 1. Calculate the remainder when 17 is divided by u(t).
7
Suppose 0*r - r = -17. Suppose -24*q = -r*q - 105. What is the remainder when 74 is divided by q?
14
Let p(r) be the first derivative of -37*r**2/2 + r - 15. What is the remainder when p(-1) is divided by 14?
10
Let d(s) = -2*s + 19. Let q be d(9). Let w(m) = -m**3 + 6*m**2 - 3*m - 6. What is the remainder when 200/14 - q - (-30)/(-105) is divided by w(5)?
1
Suppose -5*c - 123 = 402. Let k = c - -116. What is the remainder when 35 is divided by k?
2
Let x(w) = -w**2 - 7*w + 27. Let a = 8 - -26. Calculate the remainder when a/12*3*2 is divided by x(-9).
8
Let p(l) = -l**2 - 7*l - 4. Let w be p(-5). Suppose -10 = -f + 1. Calculate the remainder when f is divided by 90/5*2/w.
5
Suppose 12*y - 4*r - 47 = 11*y, 3*y = 5*r + 141. Calculate the remainder when 87 is divided by y.
40
Suppose 20 = 2*i - 4*u, i + 2*u + 8 = -2. Suppose -4*q + i*q = -3*s - 115, 3*q + 3*s = 102. Calculate the remainder when q is divided by (-51)/12*(4 + 0)*-1.
14
Let o = -101 - -149. What is the remainder when o is divided by 25?
23
Suppose -8*u - 6 = -9*u. Let l be (-52)/(1*(-3)/u). Suppose -4*s + 84 + l = 0. What is the remainder when s is divided by 16?
15
Suppose 12*j - 2465 = -557. What is the remainder when j is divided by 72?
15
Suppose -30*d = -3104 - 3436. What is the remainder when d is divided by 23?
11
Let w(g) = -g**3 - 34*g**2 + 36*g + 59. Calculate the remainder when w(-35) is divided by 8.
0
Let u(f) = 19*f**2 + 10*f - 55. Calculate the remainder when u(3) is divided by 10.
6
Let q = -493 + 518. Calculate the remainder when q is divided by 10.
5
Suppose -f = -0*f + 196. Let o = f - -306. What is the remainder when o is divided by 37?
36
Let r(j) be the first derivative of 3*j**2/2 - 7*j - 16. Suppose -18 = -0*t - 3*t. What is the remainder when 42 is divided by r(t)?
9
Let c = 553 - 539. Calculate the remainder when 601 is divided by c.
13
Suppose -3*b = 21 - 87. Calculate the remainder when 744 is divided by b.
18
What is the remainder when 58 is divided by (15 - 17)/((-2)/22)?
14
Suppose 1593 = 3*s - 42. What is the remainder when s is divided by 79?
71
Let h(r) | {
"pile_set_name": "DM Mathematics"
} |
+ 3*sqrt(11)
Simplify -1*sqrt(7)*-2 + sqrt(7) + sqrt(63)*-2.
-3*sqrt(7)
Simplify sqrt(133)/(sqrt(7) - (sqrt(112) + sqrt(7))) + sqrt(152)/(sqrt(8) - sqrt(8)*-3).
0
Simplify -5*((sqrt(11) - sqrt(11)*-3) + -3)**2.
-925 + 120*sqrt(11)
Simplify ((sqrt(275) - sqrt(11)) + 0 + (sqrt(11) - (sqrt(99) + sqrt(99) + sqrt(99) + sqrt(99) + sqrt(99)*1)))**2.
1100
Simplify (-2*sqrt(539)*5)**2 + 1*(sqrt(539) + 1*sqrt(539))**2.
56056
Simplify (2*sqrt(832))**2 + -5.
3323
Simplify (sqrt(50) + -1)**2*3.
-30*sqrt(2) + 153
Simplify 1*((6*sqrt(300)*-2 - sqrt(300)) + sqrt(300) + 0 + sqrt(300) + -5)**2.
1100*sqrt(3) + 36325
Simplify sqrt(40)/sqrt(128) - 2*(sqrt(25)/sqrt(5) + sqrt(5)).
-15*sqrt(5)/4
Simplify ((sqrt(605) + -1 + sqrt(605))**2 - sqrt(605))*-3.
-7263 + 165*sqrt(5)
Simplify ((-2 + sqrt(243))*-1*-4)**2.
-576*sqrt(3) + 3952
Simplify 3*-5*sqrt(52)/sqrt(4).
-15*sqrt(13)
Simplify (sqrt(132)/(sqrt(4) + sqrt(28)/sqrt(7)) + sqrt(33))/(sqrt(9)/(sqrt(21)/sqrt(7)) + sqrt(3)).
3*sqrt(11)/4
Simplify 4*sqrt(896)/sqrt(2).
32*sqrt(7)
Simplify (sqrt(425) + 4 + (sqrt(425)*2 - sqrt(425) - sqrt(425)) - sqrt(425))**2.
16
Simplify (-6*(sqrt(85) - ((sqrt(85) - (sqrt(85)*-2 + sqrt(85))) + sqrt(85))))/(sqrt(60)/sqrt(48)).
24*sqrt(17)
Simplify 4 + sqrt(17) + -2 - sqrt(136)/(sqrt(24)/sqrt(3)).
2
Simplify -4 + (sqrt(1900) - (4 + (sqrt(1900) + 0 - sqrt(1900))**2)).
-8 + 10*sqrt(19)
Simplify -3*sqrt(20) + (sqrt(405)*-1)**2.
-6*sqrt(5) + 405
Simplify -4 + (4*(sqrt(5) + sqrt(5)*2) + -2)**2.
-48*sqrt(5) + 720
Simplify (-2 + (sqrt(13) - (sqrt(13) + (sqrt(13) - (sqrt(13) - sqrt(52)/sqrt(4))))) + sqrt(13))**2 + sqrt(39)/sqrt(3) + 2.
sqrt(13) + 6
Simplify (sqrt(847) - ((sqrt(847) - (sqrt(847) + -2)) + -3 + sqrt(847)) - sqrt(847))**2 + 5.
-22*sqrt(7) + 853
Simplify 0 + (2*(0 + sqrt(243)))**2.
972
Simplify (sqrt(320) + (sqrt(320)*4 - sqrt(320)) + 0)**2.
5120
Simplify (-3*3*((sqrt(11) - sqrt(44)/sqrt(4)) + -4))**2.
1296
Simplify 5 + -1 + (sqrt(2) + (sqrt(2) - sqrt(8)/sqrt(4)*3))**2 + 1.
7
Simplify 1*((sqrt(325))**2 + 0 + sqrt(117)/sqrt(144)).
sqrt(13)/4 + 325
Simplify (-3 + sqrt(3))*-1 + -3 + sqrt(243).
8*sqrt(3)
Simplify sqrt(76)/(sqrt(8)/sqrt(2))*-5.
-5*sqrt(19)
Simplify sqrt(20)/(-2*sqrt(640)) + -2*(sqrt(32)*-6)**2.
-2304 - sqrt(2)/16
Simplify (sqrt(6) - (sqrt(6) - (sqrt(36)/sqrt(3))/sqrt(2)))/(sqrt(300) + sqrt(300) + sqrt(300) + (sqrt(300) - 2*sqrt(300)) + sqrt(300)).
sqrt(2)/30
Simplify -6*-1*sqrt(11) + (-5 + sqrt(11) + 1)**2.
-2*sqrt(11) + 27
Simplify ((-5 + sqrt(78)/(3*sqrt(6)))*-4)**2.
-160*sqrt(13)/3 + 3808/9
Simplify sqrt(19) + (sqrt(133)/sqrt(7)*2)**2 - sqrt(19) - (sqrt(1216)*3)**2.
-10868
Simplify (2*sqrt(180)*-2)**2.
2880
Simplify (4*sqrt(26)*-2)/sqrt(2).
-8*sqrt(13)
Simplify (sqrt(1300) + -1 + 1)**2 + sqrt(1300) + sqrt(1300)*1*-4.
-30*sqrt(13) + 1300
Simplify (sqrt(52) - (sqrt(52) - -1*sqrt(52)))/sqrt(4) + 1.
-sqrt(13) + 1
Simplify -2*(sqrt(42)/sqrt(6)*-4)**2.
-224
Simplify 5*(-2*sqrt(171))/sqrt(9).
-10*sqrt(19)
Simplify (sqrt(66)/(-3*sqrt(864)))**2.
11/1296
Simplify ((-1*sqrt(297) + sqrt(297))/sqrt(11))/sqrt(9).
0
Simplify ((-1*sqrt(605) - sqrt(605)) + 5 + sqrt(605))**2.
-110*sqrt(5) + 630
Simplify (sqrt(18) - -3*sqrt(54)/sqrt(3))/(sqrt(36)/(sqrt(20)/sqrt(5)) + sqrt(9)).
2*sqrt(2)
Simplify -4 + sqrt(432) + 2 + -3.
-5 + 12*sqrt(3)
Simplify (6*sqrt(35)*-2)/(sqrt(896)/sqrt(8)).
-3*sqrt(5)
Simplify (0 + sqrt(475) - sqrt(19))*1.
4*sqrt(19)
Simplify sqrt(36)/(-4*sqrt(12)*-2).
sqrt(3)/8
Simplify (sqrt(51)*2*-5)/(-1*sqrt(147)).
10*sqrt(17)/7
Simplify (sqrt(784)*1)/sqrt(8).
7*sqrt(2)
Simplify ((sqrt(117) + (sqrt(117) - -2*sqrt(117) - sqrt(117)))/sqrt(9) + 0)**2.
117
Simplify 1*sqrt(17)*-5 + ((2 + sqrt(17))*-5)**2.
95*sqrt(17) + 525
Simplify -5 + sqrt(52)/sqrt(4) - ((sqrt(13) - sqrt(13)*-2)**2 + sqrt(13) + sqrt(13))*1.
-122 - sqrt(13)
Simplify (sqrt(153) + sqrt(153) + sqrt(153)*1 + -4 + -4)**2.
-144*sqrt(17) + 1441
Simplify (-3*(sqrt(1728) + sqrt(1728)*-2 + 5))**2.
-2160*sqrt(3) + 15777
Simplify (5 + -1 + sqrt(468) + 3)**2.
84*sqrt(13) + 517
Simplify (-3*(sqrt(26) + sqrt(104)))/(sqrt(162) + -3*sqrt(162)).
sqrt(13)/2
Simplify -1 + (sqrt(19)*2 + -5 - (sqrt(513) + sqrt(57))/sqrt(3)).
-2*sqrt(19) - 6
Simplify (sqrt(242) - -2*(1*sqrt(242) + sqrt(242) + sqrt(242)))**2 + (-3 + 2*sqrt(242))**2.
-132*sqrt(2) + 12835
Simplify -2*sqrt(35)/(sqrt(14)/sqrt(2)).
-2*sqrt(5)
Simplify (2*(0 + sqrt(13)*2 + sqrt(13)) + 5)**2.
60*sqrt(13) + 493
Simplify (-3 + -2*sqrt(147) + (sqrt(147) + (1 + sqrt(147))*-5 - sqrt(147)))**2.
784*sqrt(3) + 7267
Simplify 2*sqrt(2592) - 1*(sqrt(18) + 2).
-2 + 69*sqrt(2)
Simplify (sqrt(48))**2 + -5 - sqrt(75)*1.
-5*sqrt(3) + 43
Simplify (1*sqrt(27)*5)/(-3*sqrt(576)).
-5*sqrt(3)/24
Simplify (sqrt(147) + 3 + (sqrt(3) - (-1 + sqrt(12) - sqrt(3))))**2.
56*sqrt(3) + 163
Simplify -2*(sqrt(50) - sqrt(200)/sqrt(4))/sqrt(10).
0
Simplify (sqrt(605) + ((sqrt(605) + -4)*4 - sqrt(605)) + -4)**2.
-1760*sqrt(5) + 10080
Simplify (-2*sqrt(567) - (sqrt(224) + sqrt(14))/sqrt(2)) + -5.
-23*sqrt(7) - 5
Simplify (-2*sqrt(84)*2 + sqrt(84) - sqrt(84))/(sqrt(12) - (sqrt(972) + 2*sqrt(972))).
2*sqrt(7)/13
Simplify 5 + (sqrt(288) + 0)**2 + sqrt(288) + (sqrt(288) - (sqrt(288) + (sqrt(288) - (1*sqrt(288))**2))*-3).
-571 + 96*sqrt(2)
Simplify (-4*sqrt(228))/(sqrt(192) + sqrt(192)*3 + sqrt(192) + sqrt(192) + sqrt(192)).
-sqrt(19)/7
Simplify (sqrt(175) + -1)*4.
-4 + 20*sqrt(7)
Simplify (sqrt(44) - sqrt(704))/sqrt(4) + (sqrt(275) + (sqrt(275) - sqrt(275)*5))**2.
-3*sqrt(11) + 2475
Simplify ((sqrt(42)/sqrt(3))/sqrt(7) - sqrt(10)/(sqrt(20)/sqrt(4))) + 2.
2
Simplify (3 + sqrt(7)*-2)*-3.
-9 + 6*sqrt(7)
Simplify (-3*sqrt(84))/sqrt(12) + 2.
-3*sqrt(7) + 2
Simplify (4 + (sqrt(7) - -6*(sqrt(7) - sqrt(252))) + 1*sqrt(1008) + sqrt(7))**2.
-128*sqrt(7) + 1808
Simplify (6*(sqrt(720) - (sqrt(720) + 1) - sqrt(720)) + 0)**2.
864*sqrt(5) + 25956
Simplify (-4 + (-2*sqrt(11)*6 - sqrt(11)))**2.
104*sqrt(11) + 1875
Simplify 6*sqrt(33)/sqrt(3)*5.
30*sqrt(11)
Simplify (sqrt(65) - 2*sqrt(65)*2)/(sqrt(5) - (sqrt(5) + sqrt(80) + sqrt(5))*3).
3*sqrt(13)/17
Simplify (sqrt(5)*-1*6 - (sqrt(45) + 0))**2.
405
Simplify -3*(1 + 6*2*sqrt(7)).
-36*sqrt(7) - 3
Simplify -5 + sqrt(275) + -1 + sqrt(275) + -5*(sqrt(275) + 1).
-15*sqrt(11) - 11
Simplify (((sqrt(1872)*-1*-3 + sqrt(1872) - sqrt(1872)) + 6*sqrt(1872)*-2 + sqrt(1872) + sqrt(1872))*3)**2.
825552
Simplify -4*4*sqrt(117)/(-2*sqrt(1296)).
2*sqrt(13)/3
Simplify (sqrt(11) + (sqrt(11) - sqrt(99)/(3*sqrt(9)))**2)*2 + 2.
2*sqrt(11) + 106/9
Simplify ((sqrt(12)*-2)/sqrt(4))**2 + ((1*sqrt(33))/sqrt(11))**2.
15
Simplify (sqrt(66)/sqrt(6) + 2 + sqrt(99)*-2)**2.
-20*sqrt(11) + 279
Simplify sqrt(1300)/sqrt(4)*-5.
-25*sqrt(13)
Simplify (5 + sqrt(125) + sqrt(125) + (1*sqrt(125) - sqrt(125) - sqrt(125))*-1)**2.
150*sqrt(5) + 1150
Simplify -3*(-1 + sqrt(175)*2)**2*1.
-2103 + 60*sqrt(7)
Simplify (sqrt(39)/sqrt(27))**2 - sqrt(13) - (-5*(sqrt(13) - sqrt(52)/sqrt(4)) + sqrt(13)).
-2*sqrt(13) + 13/9
Simplify (sqrt(14)/sqrt(2))**2*1 - (sqrt(14)/sqrt(8))**2.
21/4
Simplify -4*(2 + sqrt(104)/sqrt(8))*1.
-4*sqrt(13) - 8
Simplify (sqrt(63))**2 + 0 + (sqrt(175) + 0 + sqrt(175))**2.
763
Simplify 6*sqrt(7)*2 - (sqrt(700) + 2*sqrt(700))**2.
-6300 + 12*sqrt(7)
Simplify ((sqrt(468) + -1 + 5)*-1 + 2)**2.
24*sqrt(13) + 472
Simplify -1*sqrt(112) + sqrt(112) + -1.
-1
Simplify sqrt(25)/(-5*sqrt(500)).
-sqrt(5)/50
Simplify (sqrt(36)/sqrt(2)*-4)/((sqrt(81) + (sqrt(81) - (-1*sqrt(81) - sqrt(81))) - sqrt(81)) + sqrt(81) - sqrt(81)).
-4*sqrt(2)/9
Simplify (-1*sqrt(192) - (sqrt(21)*4)/sqrt(7))**2.
432
Simplify (sqrt(351)*-4)/(sqrt(3) - (sqrt(3) + sqrt(6)/(-1*sqrt(2)))).
-12*sqrt(13)
Simplify ((2 + sqrt(14)/sqrt(2) - sqrt(63)*-6) + -3 + -2)**2.
-114*sqrt(7) + 2536
Simplify -3 + sqrt(300) - (sqrt(3) + 4 + sqrt(3)*2 - sqrt(3)).
-7 + 8*sqrt(3)
Simplify 1 + (-2 + sqrt(833) - (sqrt(17)*-1)**2*-6).
7*sqrt(17) + 101
Simplify (4*(sqrt(13) + 3))**2 + 1.
96*sqrt(13) + 353
Simplify ((4 + sqrt(18) - sqrt(18)*4) + -3)**2.
-18*sqrt(2) + 163
Simplify 3*sqrt(13)*6 - sqrt(65)/(sqrt(5) + sqrt(125)).
107*sqrt(13)/6
Simplify ((4*sqrt(220)/sqrt(10))/sqrt(2))**2.
176
Simplify (sqrt(660)/(2*sqrt(11)))/((sqrt(60) - (sqrt(60) - sqrt(60)*2))/sqrt(5) - sqrt(12)).
sqrt(5)/2
Simplify -2 + sqrt(1053) - sqrt(91)/sqrt(7)*1.
-2 + 8*sqrt(13)
Simplify (sqrt(117)/(sqrt(1296) | {
"pile_set_name": "DM Mathematics"
} |
4.
4
Calculate the remainder when 40226422 is divided by 1297624.
78
What is the remainder when 1781122 is divided by 1780835?
287
What is the remainder when 2024275 is divided by 1012098?
79
What is the remainder when 931910 is divided by 5480?
310
Calculate the remainder when 1722675 is divided by 639.
570
Calculate the remainder when 225743 is divided by 2427.
32
Calculate the remainder when 67716 is divided by 699.
612
What is the remainder when 8479279 is divided by 4239623?
33
Calculate the remainder when 372812 is divided by 221.
206
What is the remainder when 6139703 is divided by 277?
275
What is the remainder when 30160 is divided by 27686?
2474
Calculate the remainder when 1611530 is divided by 265.
65
What is the remainder when 23094898 is divided by 3837?
3832
What is the remainder when 58501 is divided by 58122?
379
What is the remainder when 159563 is divided by 22555?
1678
What is the remainder when 44315322 is divided by 1261?
1260
What is the remainder when 4407627 is divided by 3601?
3
What is the remainder when 4683 is divided by 2296?
91
What is the remainder when 6205984 is divided by 517165?
4
Calculate the remainder when 488574 is divided by 24417.
234
What is the remainder when 112148 is divided by 28001?
144
Calculate the remainder when 10567 is divided by 10409.
158
Calculate the remainder when 630083 is divided by 2409.
1334
What is the remainder when 1359325 is divided by 339830?
5
Calculate the remainder when 728401 is divided by 69.
37
What is the remainder when 146188 is divided by 72937?
314
What is the remainder when 31307704 is divided by 55?
54
What is the remainder when 7332396 is divided by 299?
19
What is the remainder when 54275351 is divided by 986?
981
Calculate the remainder when 250262 is divided by 671.
650
What is the remainder when 331487 is divided by 165639?
209
What is the remainder when 79572776 is divided by 84?
80
Calculate the remainder when 191752 is divided by 372.
172
Calculate the remainder when 3413318 is divided by 18652.
2
Calculate the remainder when 215974 is divided by 4955.
2909
Calculate the remainder when 7935129 is divided by 7935126.
3
Calculate the remainder when 834353 is divided by 2357.
2332
Calculate the remainder when 6904614 is divided by 60.
54
What is the remainder when 12236748 is divided by 12512?
12
Calculate the remainder when 24967377 is divided by 756587.
6
Calculate the remainder when 606801 is divided by 2650.
2601
Calculate the remainder when 8488836 is divided by 460.
456
What is the remainder when 334659 is divided by 3984?
3
Calculate the remainder when 938218 is divided by 7811.
898
What is the remainder when 464240 is divided by 152596?
6452
What is the remainder when 302516 is divided by 100757?
245
Calculate the remainder when 704674 is divided by 352287.
100
Calculate the remainder when 85677 is divided by 481.
59
Calculate the remainder when 88510677 is divided by 15.
12
What is the remainder when 1191236 is divided by 5821?
3752
What is the remainder when 48976214 is divided by 9795241?
9
What is the remainder when 859532 is divided by 2032?
2028
Calculate the remainder when 23211404 is divided by 67.
58
Calculate the remainder when 19527 is divided by 485.
127
What is the remainder when 3988158 is divided by 3988148?
10
What is the remainder when 4131395 is divided by 511?
471
What is the remainder when 98260 is divided by 840?
820
Calculate the remainder when 160851 is divided by 338.
301
Calculate the remainder when 5665083 is divided by 28.
11
Calculate the remainder when 3819310 is divided by 580.
10
What is the remainder when 40425596 is divided by 232331?
2
Calculate the remainder when 96499 is divided by 593.
433
Calculate the remainder when 389389 is divided by 483.
91
What is the remainder when 672042 is divided by 333?
48
Calculate the remainder when 769396 is divided by 13989.
1
Calculate the remainder when 1412229 is divided by 353056.
5
Calculate the remainder when 121690 is divided by 1603.
1465
What is the remainder when 117924 is divided by 1142?
298
Calculate the remainder when 3196821 is divided by 799181.
97
Calculate the remainder when 71122366 is divided by 1165940.
26
Calculate the remainder when 6341 is divided by 5660.
681
Calculate the remainder when 105654 is divided by 6663.
5709
What is the remainder when 78268059 is divided by 335?
334
Calculate the remainder when 4707930 is divided by 11427.
6
Calculate the remainder when 556785 is divided by 3985.
2870
Calculate the remainder when 1126212 is divided by 2371.
2358
What is the remainder when 18594861 is divided by 26?
25
What is the remainder when 116812 is divided by 11561?
1202
What is the remainder when 278138 is divided by 138971?
196
Calculate the remainder when 44588 is divided by 37.
3
Calculate the remainder when 8368730 is divided by 35.
20
Calculate the remainder when 3171049 is divided by 103.
91
What is the remainder when 15722633 is divided by 7060?
13
Calculate the remainder when 36457254 is divided by 143.
119
Calculate the remainder when 8764408 is divided by 9187.
10
What is the remainder when 76817226 is divided by 302430?
6
What is the remainder when 440869 is divided by 110175?
169
Calculate the remainder when 937953 is divided by 34.
29
Calculate the remainder when 578680 is divided by 314.
292
What is the remainder when 1827239 is divided by 17238?
11
Calculate the remainder when 4321981 is divided by 138.
97
What is the remainder when 961079 is divided by 159951?
1373
What is the remainder when 199165 is divided by 8128?
4093
Calculate the remainder when 1425849 is divided by 278.
265
Calculate the remainder when 265666 is divided by 524.
522
What is the remainder when 28873352 is divided by 128?
8
What is the remainder when 570999 is divided by 190320?
39
What is the remainder when 45226942 is divided by 1008?
1006
Calculate the remainder when 21669 is divided by 564.
237
What is the remainder when 1312976408 is divided by 66?
62
Calculate the remainder when 959460 is divided by 2008.
1644
What is the remainder when 29964543 is divided by 134?
133
Calculate the remainder when 146130639 is divided by 54.
51
What is the remainder when 583172 is divided by 127?
115
Calculate the remainder when 13213580 is divided by 432.
428
Calculate the remainder when 91598626 is divided by 3498.
3496
What is the remainder when 447987 is divided by 4025?
1212
What is the remainder when 6465300 is divided by 68?
64
Calculate the remainder when 163785 is divided by 1725.
1635
What is the remainder when 196944437 is divided by 117649?
11
Calculate the remainder when 102752 is divided by 33759.
1475
What is the remainder when 11659271 is divided by 253?
19
Calculate the remainder when 442799 is divided by 62752.
3535
Calculate the remainder when 969034 is divided by 161504.
10
What is the remainder when 8434833 is divided by 276?
273
What is the remainder when 41511717 is divided by 107?
104
What is the remainder when 1000490 is divided by 1806?
1772
What is the remainder when 146775 is divided by 36673?
83
What is the remainder when 365878 is divided by 9?
1
What is the remainder when 8880 is divided by 3414?
2052
Calculate the remainder when 331571553 is divided by 94.
89
Calculate the remainder when 2352394 is divided by 491.
13
Calculate the remainder when 96082 is divided by 23.
11
What is the remainder when 130858359 is divided by 192?
183
Calculate the remainder when 1568928 is divided by 237.
225
Calculate the remainder when 367188 is divided by 344.
140
Calculate the remainder when 29338 is divided by 933.
415
What is the remainder when 2948564 is divided by 7719?
7625
Calculate the remainder when 69920709 is divided by 3.
0
What is the remainder when 542017 is divided by 6022?
37
Calculate the remainder when 5546607 is divided by 155.
87
Calculate the remainder when 53359 is divided by 47124.
6235
What is the remainder when 874872 is divided by 7171?
10
What is the remainder when 74617 is divided by 1051?
1047
What is the remainder when 2486454 is divided by 6702?
12
What is the remainder when 9167929 is divided by 20464?
57
What is the remainder when 18027118 is divided by 2575302?
4
Calculate the remainder when 5313801 is divided by 16.
9
What is the | {
"pile_set_name": "DM Mathematics"
} |
5 (b) -2/3 (c) m (d) 2/11
b
Suppose 2*x = 5*x. Let i be -3*4/(3 - 7). What is the second biggest value in -3, x, i?
x
Let r = -47 - -45. Let z(k) = -2*k**3 + k + 1. Let i be z(-1). Suppose -i*t = 3*h + 15, 3*h + t - 2*t + 15 = 0. What is the second smallest value in 2, r, h?
r
Let j(z) = -z**2 - 9*z + 38. Let k be j(-12). Which is the biggest value? (a) k (b) -0.2 (c) -2
a
Let f = 696 - 695. Let h = 5.94 + -6. What is the biggest value in h, f, -3/2?
f
Let z = 0.9 - 0.8. Which is the second smallest value? (a) 3 (b) -2 (c) z
c
Let u be 2 - 0 - (-1 + -1). Suppose 5*g - 4*g - 46 = -m, 2*m - u = 0. Let n be g/(-56) + 2/4. Which is the smallest value? (a) 3 (b) -2 (c) n
b
Let t be (3/(-6))/(3/(-5)). Let l = -2/159 + 55/159. What is the second biggest value in t, l, -4?
l
Let y = 8 - 11. Let p = -14 + 14. Let u = 0 - 0.1. What is the third smallest value in y, p, u?
p
Let p = 0 - -0.3. Let n = -1 - -4. Which is the third biggest value? (a) p (b) 0.5 (c) n
a
Let p(m) = -m + 2. Let q be p(0). Suppose -2*h - q*h = 32. Let o = -12 - h. Which is the third smallest value? (a) 0.3 (b) o (c) 1/5
a
Let m = 22.3 - 22. Let t be (-18)/(-14) - (0 - -1). Which is the third biggest value? (a) t (b) 5 (c) m
a
Let x = 0.247 - -0.053. What is the smallest value in x, 2/5, 3/7?
x
Suppose -2*p + 0*p - 4*s + 12 = 0, 5*s = -p + 18. Let f be ((-1)/3)/(14/12). What is the smallest value in p, f, 0.3?
p
Let t = -7 + 12. Suppose -4*m = t*s - 4 - 1, -4*s = 4*m - 4. Let f = 3 - 5. Which is the biggest value? (a) s (b) f (c) 0.3
a
Let p = 13 - 18. Which is the third biggest value? (a) 0 (b) -3 (c) p
c
Let i = 439/8 + -55. Let v = 0 - 0.2. What is the second biggest value in v, i, -5?
v
Let s = -4 + -1. Let v = 3 + s. Let n = -24 + 19. Which is the third smallest value? (a) n (b) v (c) -0.5
c
Let i = -92 - -96. Which is the third smallest value? (a) 1 (b) -5 (c) i
c
Let r = 18 - 25. Let i = -9.4 - -2.9. Let k = r - i. Which is the second smallest value? (a) k (b) -1/5 (c) -5
a
Let p = 28 + -27.6. Which is the second smallest value? (a) 5 (b) p (c) -3
b
Let x = 1 - 0.6. Let g = 2.3 + -3.5. Let w = 3.2 + g. Which is the third smallest value? (a) 0 (b) w (c) x
b
Let x(u) = 2*u - 4. Let y be x(0). Which is the biggest value? (a) y (b) -0.1 (c) 9
c
Let m = -14.5 - -15. What is the second smallest value in 1/3, -3, m?
1/3
Let d be ((-1)/(-2))/((-2)/8). Let p be (2/(-46))/(-2 + 3). Let h = p + -65/92. Which is the biggest value? (a) d (b) h (c) -1
b
Suppose -2*i - 1 = -5*p, 5*i = -2*p + 2 + 10. What is the second smallest value in -1, 8, i?
i
Suppose 5*v + 4*z + 25 = 0, -v + 2 - 7 = -4*z. Which is the second biggest value? (a) 1/5 (b) -0.1 (c) v
b
Let o be 1/(-2)*(1 - 7). Let s = -0.6 + 0.4. Let u = s - 0.3. What is the smallest value in u, o, 1?
u
Let l(o) = o**2 - 5*o - 4. Let f be l(6). Let r = 4 - f. Which is the third biggest value? (a) 0.5 (b) r (c) -5
c
Let x = 160 - 165. What is the third smallest value in x, 0.4, 0, -1?
0
Let u = 0.27 - 15.27. Let s = u + 13. Let k = -0.4 - 0.1. What is the second smallest value in s, 0.5, k?
k
Let l(m) = 2*m. Let p be l(1). Let g be (p/6)/(2/(-4)). Let r = -47 + 46.5. Which is the smallest value? (a) r (b) g (c) -1/6
b
Let i = 12 - 7. Let v = i + -8. What is the biggest value in v, -2, -0.4?
-0.4
Let h = -3642/55 + 163/11. Let l = h + 52. What is the smallest value in -2, -1/7, l?
-2
Let u = -10 + 16. Let v = u - 2. Let l = -3 + 2.9. Which is the second biggest value? (a) l (b) v (c) -4
a
Let z = -359/54 + -12499/378. Let b = -40 - z. Let q = 1 + -0.8. What is the biggest value in q, b, 1?
1
Let p = 4 + -8. Let m = 2.1 + -1.6. Which is the third smallest value? (a) -0.3 (b) p (c) m
c
Let g = -29/21 - -5/7. Let s = 2 + 3. Let k(r) = -3*r - 20. Let t be k(-7). Which is the third biggest value? (a) s (b) t (c) g
c
Let d be (-1 - 1)*1/(-12). Suppose -2*j + 4*j - 10 = 0. Suppose 0*b = -b - 3. What is the second biggest value in j, b, d?
d
Let i = 138 - 138.4. Which is the third biggest value? (a) -0.2 (b) i (c) -4
c
Let t = -19 + 18. What is the second biggest value in t, -5, -0.2?
t
Let h = -132.35 - -132. Which is the second biggest value? (a) 0.1 (b) h (c) 4
a
Let u be 4/(-26) - 5/52. Which is the smallest value? (a) u (b) -0.3 (c) -5
c
Let l(w) = 6*w - 51. Let f be l(8). Which is the smallest value? (a) 1/2 (b) 1/3 (c) f
c
Let v = 0.9 + -0.2. Which is the third smallest value? (a) v (b) -2/5 (c) 0.4
a
Let t = 2/53 - 116/265. Which is the biggest value? (a) 3 (b) t (c) -5
a
Let p = -93/212 + 10/53. Which is the second biggest value? (a) p (b) 5 (c) -1/11
c
Let q be 1/10*6/(-3). Let g = -5 + 1. Let z = -4.5 - g. Which is the second biggest value? (a) -1 (b) z (c) q
b
Let k be (3/(84/(-16)))/(-1). Which is the second smallest value? (a) k (b) 0.5 (c) -0.1
b
Let p = 12 - 8. Let c be (-2)/(-2) - (0 + -1). Suppose -3*s = -c - 1. What is the third biggest value in -5, p, s?
-5
Let l be ((-2)/(-4))/(3/18). Let n = 12.3 + -12. Which is the smallest value? (a) n (b) l (c) 0.4
a
Let h = 0.06 + -0.11. What is the biggest value in -3, h, 0.2?
0.2
Let r = 0.1 + 0.9. Let y = r - 1. Which is the third biggest value? (a) -0.5 (b) -5 (c) y
b
Let i = 1.9 + -1.3. Let t = i + -0.5. Which is the third smallest value? (a) -3/4 (b) 6 (c) t
b
Let g be -3*6/(-4)*6/9. Let s be (-8)/(-6)*(-21)/(-2). Suppose 0 = -g*x - 1 - s. Which is the smallest value? (a) -3/8 (b) x (c) -2
b
Suppose -2*q - 2*l = -3*q - 20, 2*l = 4. Let t be 4/(q/2) - -2. Which is the third biggest value? (a) t (b) 17 (c) -0.3
c
Let l = -28 + 29. Which is the smallest value? (a) -3 (b) l (c) 4
a
Let q = -36.09 - -36. Which is the smallest value? (a) -2/3 (b) q (c) 1
a
Let k = 1.03 - 0.13. Let u = -0.6 + k. What is the biggest value in -3, u, 2?
2
Suppose 4*w = -3*o + 9, -5*o = -13 - 2. Let j = 0.4 + -2.4. Let q = 2 + -2.4. What is the second biggest value in w, j, q?
q
Let h = -114 - -1252/11. Let u = 9 - 6. Let j = 1 + u. Which is the second biggest value? (a) 0.2 (b) h (c) j
a
Let m(h) = -h**2 + 14*h + 17. Let f be m(15). What is the smallest value in 3, f, 10, 5?
f
Let w = -2 - -6. Let b = w + -4.3. Let p = b + -0.7. What is the second smallest value in p, -2, -1/5?
p
Let k = 0.3 + -0.4. Let j = 737/5 + -147. Which is the third smallest value? (a) k (b) 14 (c) j
b
Let n be (-2)/(-12)*(-16)/12. Suppose 4 = -v + 1. What is the second smallest value in -1, n, v?
-1
Let r = -3.44 + 4. Let u = -0.16 + r. Let a = -4.96 - 0.04. What is the smallest value in a, u, 0.3?
a
Let k = -15 + 13.3. Let l = k + 2. Let g = 4.5 + -4. What is the third biggest value in g, l, 3?
l
Suppose 18 = -x + 5*m, -8 - 10 = -3*x - 3*m. Let j be x/(-10)*(4 - 7). Let w = j + 1/15. Which is the second biggest value? (a) 1/7 (b) -3/5 (c) w
a
Let j = 3.9 - 2.9. Which is the second biggest value? (a) j (b) -3/5 (c) -5
b
Let y = -0.6 - -0.64. Let x = 0.36 + -0.3. Let d = x + y. Which is the biggest value? (a) 1 (b) -2 (c) d
a
Let l = -1 + 3. Let f = l - 2. What is the third biggest value in f, -3/2, 5?
-3/2
Let f be 4/10 + (-19)/60. What is the second smallest value in 3, -4, f?
f
Let h(x) = 5*x**2 - 2*x. Let o be h(1). Let r be o*1 - 114/42. Which is the third smallest value? (a) -1/8 (b) r (c) 3
c
Let w = -8 - -12. Suppose -16*r + 18 + 14 = 0. What is the smallest value in w, r, 1?
1
Let n = 1.1 - 0.5. Let x = 0.1 - n. Let w = 3.95 + -4. Which is the biggest value? (a) 0.4 (b) w (c) x
a
Let y be (-1)/(-3) - 3/27. Let l = 0.04 + -0.11. Let h = -2.93 + l. What is the smallest value in y, h, -5?
-5
Let q = -167/12 + 41/3. What is the third smallest value in q, 4/3, -0.2?
4/3
Let d be (-4)/(-6) - 4/12. Let y = -12 + 17. Let h = 5.5 - y. What is the second smallest value in d, 1, h?
h
Let n = 12 + -13. What is the smallest value in 1/5, 0.4, n?
n
Let k = -17 - -21. Which is the third smallest value? (a) 1 (b) k (c) -0.1
b
Let a = -1 + -1. Let k = a + 0. Let r be 3 - -2*(-1 - k). What is the second smallest value in 2, -2/9, r?
2
Let x be 1/(-2) + (-5364)/(-1848). Let z = x + -28/11. Let u = 1003/10 + -203/2. Which is the second biggest value? (a) u (b) 2/21 (c) z
c
Let s = 7 + -9. What is the seco | {
"pile_set_name": "DM Mathematics"
} |
*z + 9. What is n*i(k) - 18*a(k)?
6*k**2
Let c(j) = -j**2 - 4*j. Let d(a) = 5*a. Determine 5*c(o) + 4*d(o).
-5*o**2
Let r(a) = 10*a + 1. Let k(i) be the second derivative of i**3/6 + 15*i. What is -22*k(m) + 2*r(m)?
-2*m + 2
Let c(v) = -3*v**2 + v - 5. Suppose 4*t = 7*t + 15. Let k(z) = 1 + 5 + 2 + 5*z**2 - 2*z. Determine t*k(x) - 8*c(x).
-x**2 + 2*x
Let x(z) = 2*z**2 - 2*z + 2. Let g(w) = -7*w**2 + 5*w - 2. Let f = -3 - -2. Let r(h) = h**2 - 1. Let o(s) = f*g(s) - 3*r(s). What is -2*o(b) + 5*x(b)?
2*b**2
Let u(s) = -6*s + 17. Let q(p) = -3*p + 9. Calculate 11*q(z) - 6*u(z).
3*z - 3
Let m(c) = c**3 + 4*c**2 - 6*c + 5. Let z(x) be the first derivative of -7/2*x**2 + 5/3*x**3 + 6*x + 1/4*x**4 + 1. Determine -5*m(w) + 4*z(w).
-w**3 + 2*w - 1
Let l(t) = 12*t**3 - 6*t**2 - 7*t - 6. Let z(y) = -11*y**3 + 5*y**2 + 6*y + 5. Calculate 5*l(u) + 6*z(u).
-6*u**3 + u
Let h(o) = 3*o**2 - 2 - 18*o + 18*o. Let l(m) = 10*m**2 - 7. Determine -21*h(c) + 6*l(c).
-3*c**2
Let y(r) be the first derivative of 3*r**3 + 4*r**2 - 8*r + 13. Let v(a) = 6*a**2 + 5*a - 5. Determine 8*v(l) - 5*y(l).
3*l**2
Let r(t) = t**3 + 2*t - 3. Let f(k) = -k**3 - 13 + 12*k**3 - 6*k**3 + 9*k. Determine -4*f(d) + 18*r(d).
-2*d**3 - 2
Let z(d) = d - 3. Let x be z(5). Let j(p) be the second derivative of 3*p + 0 + 1/2*p**x + 1/6*p**3. Let q(y) = -y - 1. Calculate -5*j(w) - 4*q(w).
-w - 1
Let a(i) = 0*i + 8 - i + 2*i. Let c be a(-7). Let w = 2 + c. Let m(s) = 5*s + 5. Let v(k) = -14*k - 14. Determine w*v(d) + 8*m(d).
-2*d - 2
Let u(b) = 8*b + 6. Let r(i) = -7*i - 6. Let z(m) = -7*r(m) - 6*u(m). Let s(k) = -2*k - 11. Calculate 3*s(g) + 5*z(g).
-g - 3
Let t(q) = 4*q - 6. Let i(n) = -4*n + 5. Let v(c) = -2*i(c) - 3*t(c). Let b(j) = j - 3. Determine -8*b(d) - 3*v(d).
4*d
Suppose 0 = -4*i + 5*i - 5. Let k(t) = 2*t**3 - 4*t**2 - 4*t + 4. Let x(v) = -3*v**3 + 5*v**2 + 5*v - 5. Calculate i*k(d) + 4*x(d).
-2*d**3
Let y(v) = 7*v. Let b(d) = -35*d. What is -2*b(x) - 11*y(x)?
-7*x
Let x(l) = -7*l**2 + 2*l - 6. Let y(p) = 35*p - 104*p - 1 - p**2 + 39*p + 31*p. Calculate -x(z) + 4*y(z).
3*z**2 + 2*z + 2
Let m(t) = -14*t**2 - 3*t + 20. Let g(x) = -5*x**2 - x + 7. Let b(y) = 17*g(y) - 6*m(y). Let c(u) = -2*u**2 + 6*u - 6. Determine -6*b(w) + c(w).
4*w**2
Let y(v) = 5*v**3 + 6*v**2 + 6*v - 6. Let x(s) = -s**2 - s**3 + 1 - 315*s - 326*s + 640*s. Let l = -15 + 9. Give l*x(b) - y(b).
b**3
Let v(s) = s - 1. Let p(u) = 8*u - 13. Determine -p(n) + 5*v(n).
-3*n + 8
Let z(v) = -6*v**3 - 2*v + 4. Let r(y) = -7*y**3 + y**2 - 2*y + 4. Determine 2*r(o) - 3*z(o).
4*o**3 + 2*o**2 + 2*o - 4
Let h(l) = 8*l**2 - 3. Let j(m) = 41*m**2 - 14. Calculate 11*h(q) - 2*j(q).
6*q**2 - 5
Let q(o) = o**3 - 6*o**2 + 6*o + 6. Let k(n) = -3*n**3 + 17*n**2 - 17*n - 17. Suppose 3*j - 7*j = -64. Let m = -11 + j. Let t = m + -11. Give t*k(l) - 17*q(l).
l**3
Let v(a) = -2*a**3 - 4*a. Let z(k) = k**3 + 3*k. Give 3*v(g) + 4*z(g).
-2*g**3
Let m(u) = -5*u**2 - 7*u. Suppose z + 7 = 4*t, 2*z - 5 = -2*t + 1. Suppose 0 = -6*n - 28 - t. Let f(c) = -4*c**2 - 6*c. Determine n*m(p) + 6*f(p).
p**2 - p
Let d(m) = -6*m**2 + 3. Let s = -71 + 77. Let g(o) = o**2 - 1. Give s*g(p) + 2*d(p).
-6*p**2
Let d = 2 + 3. Let v(w) = -w + w**3 - 1 + w. Let s(u) be the third derivative of -u**6/40 + 5*u**3/6 + 2*u**2. Calculate d*v(f) + s(f).
2*f**3
Let q(d) = 20*d**3 + 100*d**2 + 100*d - 100. Let i(w) = w**2 + w - 1. Calculate 100*i(z) - q(z).
-20*z**3
Let h(o) = -71*o + 3. Let f(q) = -143*q + 5. What is 3*f(p) - 5*h(p)?
-74*p
Let i(s) = -s**2 - s + 1. Let r(m) = -2*m**2 - 4*m + 4. Give -5*i(c) + r(c).
3*c**2 + c - 1
Let h(y) = -y + 1. Let f(i) = -i**2 + 4*i - 3. Let m be f(3). Suppose 0 = -4*l, -w + l + m = -1. Let u(x) = -5*x + 4. Calculate w*u(d) - 4*h(d).
-d
Let a(u) = -u**2 + u + 1. Let g(w) = -4*w**2 + 1. Let m be (-6)/(-10) - (-10)/25. Suppose -3*l + m = -2*l. Determine l*g(o) - 2*a(o).
-2*o**2 - 2*o - 1
Let d(h) = -4*h**2 + 3*h + 4. Let j be ((-1)/2)/((-2)/(-36)). Let b be -2 - (j - -2*1). Let p = -3 - -11. Let i(a) = 6*a**2 - 5*a - 6. Give b*i(x) + p*d(x).
-2*x**2 - x + 2
Let u(y) = -y**2 + 6*y + 2. Let a be u(6). Let j(l) = 3*l**2 + 1 + l**2 + 0*l - l - 5*l**a. Let i(m) = 2*m**2 + 4*m - 4. Determine i(v) + 4*j(v).
-2*v**2
Let c(y) = -6*y**3 - 6*y**2 + 5*y. Let q(g) = 5*g**3 + 5*g**2 - 4*g. Let b be (-4)/12 + (-16)/(-3). Determine b*q(k) + 4*c(k).
k**3 + k**2
Let p(l) = -7*l - 5. Let w(u) = -4*u - 3. Let o = 17 - 22. What is o*w(z) + 3*p(z)?
-z
Let z(h) = -h + 6. Let i be (49/(-35) - -5) + (-2)/(-5). Let f(t) = -t + 7. What is i*f(j) - 5*z(j)?
j - 2
Let z(f) = 3*f**2 - 3*f + 5. Let w(s) = 2*s**2 - 2*s + 4. Let d(o) = -o**2 - 5*o + 46. Let y be d(-10). Determine y*w(m) + 3*z(m).
m**2 - m - 1
Let z(v) = -v**2 - 1. Let a(c) = -c**2. Determine 4*a(g) - z(g).
-3*g**2 + 1
Let g(d) = -95*d**3 - 9*d + 7. Let c(o) = -47*o**3 - 4*o + 3. Give 9*c(h) - 4*g(h).
-43*h**3 - 1
Let w(o) = 2*o. Let z(r) = -195*r - 1. Let n be z(-1). Let p(y) = 4*y - 194 + n. Determine -3*p(u) + 7*w(u).
2*u
Let v(x) = -2*x + 3. Let d be 5/(30/(-12))*2/2. Let p(s) = -1. Determine d*v(f) - 6*p(f).
4*f
Let o(r) = -7*r**3 + 5*r**2 + 5*r. Let y(k) = -3*k**3 + 3*k**2 + 3*k. Give 3*o(m) - 5*y(m).
-6*m**3
Let a be 3 - 0*(1 + -2). Let u(s) = -88 + 174 - 89 - 4*s**2. Let n(b) = -3*b**2 - 2. Determine a*n(t) - 2*u(t).
-t**2
Let c(n) = -n**3 + 6*n**2 - 6*n + 7. Let f(s) = s**2 - s + 1. Suppose 5*b + 1 = -4. Determine b*c(d) + 6*f(d).
d**3 - 1
Let z be 2/1*(-1)/(-2). Let q(j) be the first derivative of 2*j**3/3 + j**2 + 2*j + 78. Let f(o) = o + 0 - 1 + 2. What is z*q(l) - 2*f(l)?
2*l**2
Suppose t = -1, 3*f + t + t = -5. Let w(u) = u - 1. Let m(v) = 2*v**2 + 4*v - 6. What is f*m(x) + 6*w(x)?
-2*x**2 + 2*x
Let p(w) be the second derivative of w**5/20 + 2*w**3/3 - 2*w**2 + 7*w. Let c(b) = -b**3 - 3*b + 3. Determine -4*c(r) - 3*p(r).
r**3
Let u(v) = v. Let x(a) = a - 1. Let q(j) = 5*j**2 + 7. Let p(h) = q(h) + 6*x(h). Calculate -p(f) + 6*u(f).
-5*f**2 - 1
Let z(m) = 57*m**2. Let a(p) = -28*p**2. Give 10*a(c) + 6*z(c).
62*c**2
Suppose 0 = -2*i + i + 5. Suppose h + j = -j + 6, -3*j - 30 = -i*h. Let f(t) = t + t - 3 + 0. Let o(w) = -9*w + 13. Give h*o(q) + 26*f(q).
-2*q
Let z(q) = 5*q**3 + 4*q**2 - 4*q + 1. Let i be (5 + 2 - 2) + 0. Let p = 2 - i. Let u(n) = -4*n**3 - 3*n**2 + 3*n - 1. Give p*z(l) - 4*u(l).
l**3 + 1
Let z(p) = -p**3 + 1. Let h be z(2). Let r(g) = -2*g - 3. Let x(v) = 3*v + v - 3*v + 2. Give h*x(w) - 4*r(w).
w - 2
Let g(s) = -4*s. Let a(r) be the third derivative of -r**4/24 - 15*r**2. What is 7*a(n) - 2*g(n)?
n
Suppose 4*n - 2*q = q - 8, 4*q + 8 = -4*n. Let l = n + -4. Let w(t) = 5*t + 2. Let c(k) = -4*k - 2. Give l*w(v) - 7*c(v).
-2*v + 2
Let w(d) = -5*d**3 - 11*d**2 - 31*d - 11. Let r(o) = o**3 + 2*o**2 + 6*o + 2. Calculate -11*r(t) - 2*w(t).
-t**3 - 4*t
Let b(h) = 1. Let x(y) = y**2 + 14*y + 1. Let k be x(-14). Let l(a) = -3*a - 1. Give k*l(d) + 3*b(d).
-3*d + 2
Let x(y) = 12*y**3 + 10. Let r(l) = l**3 + 1. Let z(i) = -i - 8. Let w be z(-11). Let o be ((w + 17)*-1)/(-2). Calculate o*r(a) - x(a).
-2*a**3
Let q(s) = 2*s**3 + 3*s**2 - 3. Let o(f) be the third derivative of -f**6/24 - 2*f**5/15 + 4*f**3/3 + 2*f**2. Let j = 8 + 0. Give j*q(y) + 3*o(y).
y**3
Let f(x) = -4*x - 4. Let t = 23 + -14. Let l(m) = -5*m + 6*m - 8 + t. What is -f(s) - 2*l(s)?
2*s + 2
Let o = 89 - 85. Let c be (0 - -1)/(2/4). Let f(t) = -t + 1. Let k(n) = -1. Calculate c*f(d) + o*k(d).
-2*d - 2
Let x(q) be the third derivative of q**6/120 - q**3/6 + 7*q**2. Let m(j) = -8*j**3 + 7. What is 4*m(f) + 28*x(f)?
-4*f**3
Let p(d) = d**3 + d**2 + d - 1. Let m(q) = 5*q**3 + 6*q**2 + 6*q - 5. Determine m(g) - 6*p(g).
-g**3 + 1
Let b(w) = w - 7. Suppose 2*f - 30 = -3*f. Let h(v) = v - 8. Determine f*b(k) - 5*h(k).
k - 2
Let m(l) be the first derivative of -18*l**4 - 28*l - 37. Let k(j) = 13*j**3 + 5. What is -28*k(s) - 5*m(s)?
-4*s**3
Let m(p) = -p**3 - 2*p**2. Let z = 20 + -22. Let u(s) = -s**3 - s**2. What is z*u(b) + m(b)?
b**3
Let n(d) = 13*d**2 + 11. Let b(u) = -6*u**2 - 6. Give 11*b(l) + 6*n(l).
12*l**2
Suppose -5*k + 5*o = 20, -k + 6*o = 2*o + 19. Let n(f) = 6*f**2 + 4 - 2*f + 4 - 4. Let u(c) be the first derivative of -c**3/3 - c + 1. What is k*n(r) + 5*u(r)?
r**2 - 2*r - 1
Let a(g) be the second derivative of -g**3/3 + 7*g**2/2 | {
"pile_set_name": "DM Mathematics"
} |
from {x: 2, m: 3, i: 1, q: 6, j: 7}?
0
Two letters picked without replacement from yryxy. Give prob of picking 1 y and 1 x.
3/10
Four letters picked without replacement from {i: 2, p: 16}. Give prob of picking 1 i and 3 p.
56/153
Four letters picked without replacement from {e: 2, s: 3, f: 1, k: 4, t: 4, b: 3}. Give prob of picking 1 f, 1 e, 1 s, and 1 t.
6/595
Calculate prob of picking 2 d and 1 m when three letters picked without replacement from {m: 4, g: 1, d: 6}.
4/11
What is prob of picking 1 h and 3 r when four letters picked without replacement from hrrrrh?
8/15
Calculate prob of picking 4 v when four letters picked without replacement from {e: 1, v: 1, q: 1, c: 2, y: 4}.
0
What is prob of picking 1 k and 1 c when two letters picked without replacement from {o: 1, k: 1, c: 3, p: 1, g: 1}?
1/7
Three letters picked without replacement from eywioeyoryew. Give prob of picking 3 e.
1/220
Calculate prob of picking 1 o and 1 c when two letters picked without replacement from soscooloolossls.
2/35
Two letters picked without replacement from pppffpf. Give prob of picking 2 p.
2/7
Two letters picked without replacement from aafaffaaafaffafaff. Give prob of picking 2 f.
4/17
What is prob of picking 1 d, 1 p, and 1 o when three letters picked without replacement from ooloyypyyhyldlo?
4/455
Three letters picked without replacement from {n: 1, b: 3, w: 2, q: 1, j: 3}. Give prob of picking 2 j and 1 b.
3/40
Three letters picked without replacement from {r: 1, u: 2, x: 1, e: 2, w: 3, g: 6}. Give prob of picking 1 e, 1 u, and 1 r.
4/455
Three letters picked without replacement from {m: 12, k: 1, n: 5}. Give prob of picking 1 n and 2 k.
0
Calculate prob of picking 3 y when three letters picked without replacement from yyyyyy.
1
Calculate prob of picking 1 k and 2 s when three letters picked without replacement from ssssssksssss.
1/4
What is prob of picking 2 d and 1 s when three letters picked without replacement from qbsdqsddqss?
4/55
Three letters picked without replacement from wwfswffffzssfwwf. Give prob of picking 3 w.
1/56
What is prob of picking 1 a and 1 x when two letters picked without replacement from {x: 2, d: 1, a: 3, p: 2, r: 2, e: 4}?
6/91
Three letters picked without replacement from etytn. What is prob of picking 1 e, 1 n, and 1 t?
1/5
Two letters picked without replacement from {j: 1, g: 5, w: 2, p: 1, k: 9}. Give prob of picking 1 j and 1 g.
5/153
Calculate prob of picking 3 i when three letters picked without replacement from ihhihrhhhhhiiii.
4/91
Two letters picked without replacement from kssssssssssssssssss. Give prob of picking 2 s.
17/19
What is prob of picking 3 r when three letters picked without replacement from {t: 4, y: 4, r: 9}?
21/170
Two letters picked without replacement from {r: 1, f: 4, n: 2, i: 1, g: 3}. Give prob of picking 1 f and 1 i.
4/55
Two letters picked without replacement from {r: 3, m: 6, y: 3, d: 3}. Give prob of picking 1 d and 1 y.
3/35
Two letters picked without replacement from {w: 3, a: 5, r: 1}. What is prob of picking 1 w and 1 r?
1/12
Calculate prob of picking 1 k and 3 b when four letters picked without replacement from bbkbkbbbkbkkkbkbbkkb.
99/323
Calculate prob of picking 3 m when three letters picked without replacement from mhmmummmmmm.
28/55
What is prob of picking 1 p and 3 t when four letters picked without replacement from {t: 3, p: 3, u: 2}?
3/70
Calculate prob of picking 4 b when four letters picked without replacement from hbbhhbshbbhsh.
1/143
Two letters picked without replacement from glkqs. What is prob of picking 1 l and 1 q?
1/10
Two letters picked without replacement from lccc. Give prob of picking 2 c.
1/2
What is prob of picking 1 y and 1 x when two letters picked without replacement from ayyybaxayaaxayx?
1/7
Calculate prob of picking 2 b and 1 n when three letters picked without replacement from bbnbbbbbbbbbbbbbbbb.
3/19
Three letters picked without replacement from ssmssssmsssssmssmsss. What is prob of picking 1 s and 2 m?
8/95
Calculate prob of picking 1 j and 1 l when two letters picked without replacement from {q: 2, i: 1, j: 2, s: 1, l: 1, h: 1}.
1/14
What is prob of picking 2 v when two letters picked without replacement from {g: 2, x: 2, v: 2, u: 4}?
1/45
Two letters picked without replacement from {s: 2, h: 2, l: 4}. Give prob of picking 1 s and 1 h.
1/7
Three letters picked without replacement from {u: 7, h: 2, r: 6}. Give prob of picking 1 h and 2 u.
6/65
What is prob of picking 2 h when two letters picked without replacement from hhchhhhhchhhch?
55/91
Calculate prob of picking 1 y and 1 z when two letters picked without replacement from ffzyzffyz.
1/6
What is prob of picking 1 b, 1 i, and 1 j when three letters picked without replacement from {j: 2, u: 2, b: 3, k: 2, e: 1, i: 2}?
3/55
Four letters picked without replacement from loolllllol. Give prob of picking 3 l and 1 o.
1/2
Calculate prob of picking 2 j and 2 c when four letters picked without replacement from jelcjjcjsjccllejjljs.
56/1615
Calculate prob of picking 1 n, 1 f, 1 i, and 1 q when four letters picked without replacement from {q: 2, i: 1, f: 2, n: 2, h: 1}.
4/35
What is prob of picking 1 u and 1 c when two letters picked without replacement from cuictytytyj?
2/55
Four letters picked without replacement from gnnnngg. What is prob of picking 2 g and 2 n?
18/35
Calculate prob of picking 1 y and 1 a when two letters picked without replacement from ayayyaaaaay.
28/55
Calculate prob of picking 1 n and 1 t when two letters picked without replacement from gyyyntt.
2/21
Four letters picked without replacement from dwwodiqdoodqddqqwq. What is prob of picking 1 w, 1 q, 1 i, and 1 o?
1/68
Two letters picked without replacement from {l: 1, k: 1, s: 1, o: 1, t: 1}. Give prob of picking 1 s and 1 l.
1/10
Two letters picked without replacement from {m: 3, b: 9}. Give prob of picking 2 m.
1/22
Calculate prob of picking 1 f, 1 j, 1 b, and 1 w when four letters picked without replacement from {j: 2, w: 4, f: 1, b: 2}.
8/63
Two letters picked without replacement from ybbyb. Give prob of picking 2 b.
3/10
Four letters picked without replacement from fuzuflfffffz. Give prob of picking 1 u, 1 f, and 2 z.
14/495
Three letters picked without replacement from osooosssos. Give prob of picking 2 s and 1 o.
5/12
Three letters picked without replacement from sssssmsssssmssms. Give prob of picking 3 m.
1/560
Calculate prob of picking 3 z when three letters picked without replacement from lzqzzzl.
4/35
Two letters picked without replacement from nwnwiiwnnnwnu. Give prob of picking 1 u and 1 w.
2/39
Two letters picked without replacement from nnrmmrcd. What is prob of picking 1 d and 1 c?
1/28
Calculate prob of picking 1 n and 1 k when two letters picked without replacement from {u: 1, n: 1, k: 1}.
1/3
Two letters picked without replacement from xnxpnpxppxnppn. What is prob of picking 2 x?
6/91
Four letters picked without replacement from ueueeueuee. What is prob of picking 4 u?
1/210
Three letters picked without replacement from mfzszlzsz. What is prob of picking 1 l, 1 z, and 1 s?
2/21
Four letters picked without replacement from {q: 2, t: 4, b: 1, e: 1, i: 1, p: 6}. What is prob of picking 1 b, 1 e, 1 p, and 1 q?
4/455
Three letters picked without replacement from guuubbbbggubugubgug. Give prob of picking 1 u and 2 b.
35/323
What is prob of picking 2 v when two letters picked without replacement from vssvsvvsvvssvs?
3/13
Calculate prob of picking 1 r and 1 i when two letters picked without replacement from {d: 1, o: 1, i: 1, r: 1, x: 1}.
1/10
What is prob of picking 3 w and 1 v when four letters picked without replacement from wvwwwwwwwwwwwww?
4/15
What is prob of picking 1 r and 1 i when two letters picked without replacement from {w: 4, i: 1, u: 4, r: 1}?
1/45
Calculate prob of picking 1 n, 1 m, and 2 x when four letters picked without replacement from {m: 8, x: 2, n: 1, f: 1, b: 1, r: 1}.
8/1001
Calculate prob of picking 1 m and 1 r when two letters picked without replacement from {n: 1, l: 1, w: 1, r: 1, m: 2, j: 1}.
2/21
Calculate prob of picking 1 q and 1 n when two letters picked without replacement from qsbnn.
1/5
Three letters picked without replacement from tltelcretrlllrcl. Give prob of picking 2 l and 1 r.
9/112
Wh | {
"pile_set_name": "DM Mathematics"
} |
for i.
-3
Solve 1319 = 3*a + 166*u, -2*a = -18*u + 19*u - 2 for a.
-3
Solve t - 14*t = 2*q - 8*t - 29, 0 = 72*q + 2*t - 510 for q.
7
Solve -2*g + 2*r + 19324 = 19340, 0 = -22*g + 3*r - 62 for g.
-2
Solve -5*v - 7*v = 5*r - 26*v + 10*v + 95, 0 = -v + 17 + 13 for r.
5
Solve -5 = -28*m + 26*m - 1, -p + 3 + 0 = 4*m for p.
-5
Solve 0 = 2*x - 5*s - 35, 4*x + 116*s - 119*s = -0*x + 35 for x.
5
Solve p - 3*c + 4 = 0, -18 + 50 = -4*p + 4*c for p.
-10
Solve -6*m + 2*m = 16, -5*n + 295*m + 141 = 291*m for n.
25
Solve 13*d - 11*d - 4*p - 39 = -201, 4*d + d = -3*p + 102 for d.
-3
Solve 2*y + 1 = -3*i, 1094*y - 218 = 70*i + 1092*y for i.
-3
Solve i + 3*j = 84630 - 84643, -2*i - 18 = 4*j for i.
-1
Solve -2*w + 170 = 3*m, 84*w - 79*w = -2*m + m + 35 for w.
-5
Solve 5*o = 8*c, -2*c + 47*o + 50*o = 98*o for c.
0
Solve 12158*q + 33 = 12161*q + 2*t, 3*q - 6*t = -7*t + 24 for q.
5
Solve -5*h - 5*t = -60, 2461*h - t + 71 = 2464*h + 25 for h.
17
Solve -80 = 2*j + 1420*d - 1418*d, 0 = -3*j + 2*d + 75 for j.
-1
Solve -3*o = 127*q - 30*q - 218, 3*q + 2 = o for o.
8
Solve 106 = -4*u - 2*l, 37*u + 0*l - 5*l + 50 = -954 for u.
-27
Solve 916*k - v - 78 = 919*k, -3*v = -11*k - 286 for k.
-26
Solve -51*d + 50*d = -u + 4, d + 5*u = 38 for d.
3
Solve -2831*h - k + 0 = -2835*h + 2*k - 58, -5*h = 11*k + 102 for h.
-16
Solve -1300*o + 1305*o + 55 = 0, 8 = -7*a - 5*o - 40 for a.
1
Solve -111 - 30 = -z + n - 14*n, -2*z - 5*n = -51 for z.
-2
Solve -6*x - 2*n + 11 = -x - 2*x, -18*x - 4*n + 56 = -n - n for x.
3
Solve 5*v + 4*b = -50 - 73, 8*v = -5*b - 242 + 39 + 51 for v.
1
Solve 38*q - 28*q - 9*l - 57 = 9*q, -4*l = 20 for q.
12
Solve 21320030*g + 0 + 5 = -3*c + 21320031*g, 2*c - 2 = -2*g for c.
-1
Solve 231*b - 5*v = 228*b - 65, -5*b - 83 = -2*v for b.
-15
Solve 5*o - l = 1, -179*o = -268*o + l + 85 for o.
1
Solve 3*u - 2*o = 61, -37315*o + 37313*o = -4*u + 58 for u.
-3
Solve -3151*i = 4*q - 1577*i - 1573*i + 22, i + 16 = -2*q for q.
-3
Solve -5*o - 4*j = 157 - 185, 11*o - 16*j = -7*o + 14*o - 16 for o.
4
Solve -r = -12426*a + 12425*a + 4, 8 = 2*a - r for a.
4
Solve z - 5*y - 78 = -0*z - 2*y, 10401 = 2*y + 10451 for z.
3
Solve -3*z + 4*o - 6 - 1 = z + 45, -8 = -3*z + 4*o - 61 for z.
1
Solve -3*a = a + 4*l + 44, -8*a - l + 178 = 210 for a.
-3
Solve 853*n - 1699*n + 78 = 8*v - 843*n, -4*v + 26 = -2*n - 3*n for v.
9
Solve 5*r + 4*u + 72 = 0, 3*u + 55 = 149*r - 153*r for r.
-4
Solve -3*k = 24*k - 2*q - 26, 5*k - 10*k - 90 = 2*q for k.
-2
Solve -2803*q + 47 = -2810*q + 6*w, -5*w + 45 = 0 for q.
1
Solve 1803*o - 1808*o + 2*l = -10, 5*o = 37*l + 185 for o.
0
Solve -r + 10*d = 1634 - 1570, -2*r - 3*d + 10 = 0 for r.
-4
Solve 4*n = -3*s + 12, -7*n + 4*s = -1338822 + 1338875 for n.
-3
Solve 0 = -2*f + 6*f + 187*z + 286, z + 38 = 4*f - 52 for f.
22
Solve 0 = -x - 5, -m + 368 - 383 = 3*x for m.
0
Solve -3*j - 32 - 30 = -f, -2*j + j - 26 = 5*f for j.
-21
Solve -3*j - 271 = -5*d - 362, 47 = d - 6*d + j for d.
-5
Solve 266467*s - 266470*s + 81 = -3*p, 7*p - 10 - 47 = 2*p - s for p.
5
Solve 9564*f = -5*a + 9567*f - 65, 0 = -a - 4*f + 56 for a.
-4
Solve 99*q - 160*q = -59*q + h - 13, -4*q + 5*h + 19 = 0 for q.
6
Solve -55*s + 72*s + 5*f - 27 = 78, -53 = 2*s - 3*f + 71 for s.
-5
Solve 4*t = -2*c - 36, 141*t + 363 = 1721*c - 1716*c for c.
-12
Solve -j + 2*j - 3*j + s - 76 = 2*j + 6*s, -j + 8 = -s for j.
-4
Solve -2*z = 6*r - 10, 7*z - 1 = 8*z - 0 for r.
2
Solve 3*i + 27 - 97 - 51 - 6 = -22*g, -4*g + 220 = 4*i for i.
57
Solve 44961 = 7*a - 5*z + 45478, 15 = -5*z for a.
-76
Solve -z - 3*h + 8 = 0, 8*z = -2*z + 12*z - 5*h - 38 for z.
14
Solve 3*g + 31 = -4*m, 4*g - 52 = 101763*m - 101759*m for g.
3
Solve -3*i + 2*c - 78*c + 62 = -5*i, 5*i + 5*c = 76 - 35 - 1 for i.
7
Solve -9*b - 5*a + 4778 = 4625, -127 = 4*b - 5*a for b.
2
Solve -2*y + 5*x + 502 = 2*y, 0 = 4*x + 1934 - 1526 for y.
-2
Solve 9 = -3*d - 14510*k + 14511*k, -16 = 4*d + 3*d - 4*k for d.
-4
Solve -3336*f + 3334*f + 2*w + 38 = 0, 0 = w + 22 for f.
-3
Solve 4*b - 549275*v - 30 = -549277*v, -18*b + 5*v = -65 for b.
5
Solve 0 = 2*p - 4*j - 60, 0 = -38*p + 37*p + 5*j + 13 + 32 for p.
20
Solve 4*s = 4*w, -154860*s + 33 = -154850*s + w for s.
3
Solve b = 4*y + 81, -129773*y + 129771*y = -3*b + 33 for b.
-3
Solve -13*g + 72 = -5*f - 94, 8*g - 45 = f + 53 for f.
-2
Solve 3*y + 32*s - 14 = 31*s - 0, 4*s = -42*y + 56 for y.
0
Solve a - 104 = 237*z - 10294, -5*z + 212 = -0*z - 3*a for z.
43
Solve 20*p = 20*p - 3*n - 3, -3*n = -p - 5*n - 7 + 10 for p.
5
Solve -2859*l = q - 2855*l + 50, -4*q - 95 = -5*l for q.
-30
Solve -4*z + 72 = 4*y, 318*y + 186 = 13*z + 631*y - 314*y - 20 for z.
16
Solve 2*s + 2969 - 2953 = -g, -3*s = 13 - 7 for g.
-12
Solve 7*l - 2*w - 182 = -22*l - 3*l, -w = -3*l + 26 for l.
5
Solve -97*y + 86 - 18 = -92*y + 12*k - 30*k, -68 = y + 10*k for y.
-8
Solve -5*y = -2*k + 21, 5*k = 95*y - 78586 + 78226 for k.
23
Solve 185*q - 188*q = 5*u + 185, 0 = -4*q - 2*u - 88 for q.
-5
Solve -6*x + 84 = 3*o, -20*o + 132 = -2*x - 16*o for x.
-2
Solve 222*u = -2*k + 220*u + 36, k - 3*u = -34 for k.
5
Solve -5*c - 4*o - 37 = 0, 0 = 4*c - 2068660*o + 2068667*o + 41 for c.
-5
Solve -18*y - 167 = -t - 257 - 453, 159 = -3*t + 5*y for t.
-3
Solve 16*w - b + 264 = 6*w, -21 = -5*w - 4*b - 119 - 16 for w.
-26
Solve -2*p + 5*v + 2*v - 66 = 0, 0 = -345*p + 346*p + 5*v - 1 for p.
-19
Solve -23 + 40 = 2*m - 2*y - 63, m - 3*y = 42 for m.
39
Solve -40775*b + 6 + 5 = w - 40772*b, 4*w + 5*b - 23 = 0 for w.
2
Solve -3*s - 23*f - 3 = -26*f, 2*s + 206*f + 130*f = -1354 for s.
-5
Solve 20*m - 45*m = -9*k - 24*m - 46, -5*m + 95 = 0 for k.
-3
Solve -11*g - 156 = -5*q, 6797*q - 6794*q = -12 for g.
-16
Solve b - 3*b - 3*h = 25, 8*b - 25*h = 6*b + 59 for b.
-8
Solve -146*d - 24*q - 78 = -150*d - 21*q, 3*d = q + 31 for d.
3
Solve l = 7, 70*k - 132*k + 10*l - 64 = -65*k for k.
-2
Solve -3*h + 4*b = -106, -3*h + 168149*b - 168144*b = -134 for h.
-2
Solve 4*y + 96 = -4*s, 0 = -40*s + 35*s - 3*y - 308 + 188 for s.
-24
Solve 43 = -5*t - 3*b, 7890 - 7982 = 8*t - b for t.
-11
Solve -s - 12 - 2 - 12 = -42*x + 11, 0 = -2*s - 74 for x.
0
Solve 4 = -r - 4*q, 0 = 24*r + 696*q - 699*q - 3 for r.
0
Solve 10756 - 10760 = 2*q, -3*w - 3*q = 0 for w.
2
Solve 4*w - 5*n - 43 - 18 = 0, -24*w - 2*n + 335 = -n for w.
14
Solve 8 = 4*n - 4*s + 48, 309*s - 305*s = 2*n + 38 for n.
-1
Solve s - i + 2 = 3, -32*i + 37*i = -0*s + 10*s + 12*s + 97 for s.
-6
Solve i - 25916 = 3*g - 25929, -5*i - 9*g = 17 for i.
-7
Solve -3*b - 72*u - 244 = -b - 67*u, -20*b - 5*u = -21*b + 253 for b.
3
Solve -3*l + 11 = 2*b, 12*l - 3*b + 153 + 154 + 168 - 508 = 0 for l.
3
Solve -4*w - 239*o = -235*o + 236, 3*o + 187 = -5*w for w.
-5
Solve -3*p + 9*l = 10*l - 62, 2*p + 68*l + 97 = -54*l - 17*l for p.
21
Solve -4*h = -4*m, 18*m - 8*m - 2*m - 12*m = h - 25 for m.
5
Solve -5*n + 20847899*u - 20847892*u + 381 = 0, -55 = -n + u for n.
2
Solve 0 = 4*m - 59*n + 98, -3*m + 0 + 9 = 2*n - 10 for m.
5
Solve 0 = -3*z - 3*i + 78, -2*z + 20995*i = 20991*i + 134 for z.
-5
Solve -3*w + 31978 - 32212 = -3*x, 0 = -w for x.
78
Solve -11 = -5*y + 5*x - 1, 77*x = 75*x - 8 for y.
-2
Solve -2*t + 2*d + 6 - 14 - 14 = 0, 5*d = -t - 4*t + 85 for t.
3
Solve -2*h - 49 + 52 = t - 32, -2*h = -6*t - 42 for h.
18
Solve -143*a = -45*a - 97*a + m - 6, 3*a + 2*m = 13 for a.
1
Solve -2*i - 76 = -3*g - 2*g + 27, 251*i + 2*g - 45 = 248*i for i.
1
Solve 0 = 101*z - 114*z - 6*y - 184, -3*y = -4*z + 50 for z.
-4
Solve 10 = -r + 5*t - 2*t, -t = -73705*r + 73702*r + 2 for r.
2
Solve -2*i - y = 5, -2035313*y + 17 = -2*i - 2035318*y for i.
-1
Solve -7 = -a + 3*o + 6, 6*a = -9859*o + 9857*o + 38 for a.
7
Solve 0*b - 3*g + 8 = -2*b + 78, -2*b - 2*g + 91 - 141 = 0 for b.
-1
Solve h - 6*h = 4*z - 44 + 126, 9*h = -3*z - 156 for z.
2
Solve -8*l = -4*v + 7 - 36 - 7, -3*v = v - 6 - 6 for l.
6
Solve 9*i - 78 = 4*w + 74 - 52, -99*w + 5*i = 1604 for w.
-16
Solve -x = 4*n + 96, -5*n - 83*x + 84*x = 129 for n.
-25
Solve 11*g = -u - 14*g - 11*g + 95 + 101, 2*g - 10 = 0 for u.
16
Solve 3*m = 5*w - 77, 0 = 7926*w - 7922*w + 3*m - 67 for w.
16
Solve 0 = -1033*b + 1030*b + 5*n + 28, -2*b - 3*b + 5*n + 40 = 0 for b.
6
Solve 0 = 14*h + 3*s - 135, 96 = 9*h + 381*s - 376*s for h.
9
Solve 2*b = -2*y + 4*b - 16, 35*y - 31*y - 64*b - 268 = 0 for y.
-13
Solve -83*u - 86*u + 2*f = -170*u - 6, 2*u = | {
"pile_set_name": "DM Mathematics"
} |
9, w, y
Let s = -1 - -4. Suppose 2*w - 18 + 5 = 3*d, -3*d - 12 = -3*w. Put w, 1, s in decreasing order.
s, 1, w
Let k = -2.2 + 2. Let h = 3 - -1. Let s = -1 - h. Sort s, 0.3, k in increasing order.
s, k, 0.3
Let j = -6 + 5. Let l = 5 + j. Put l, -2, 1/4 in descending order.
l, 1/4, -2
Suppose 3 = -5*k + 4*t - 1, -4*t + 4 = 3*k. Suppose k*j = 4*j - 20. Suppose -3*z - j = 1. Sort z, 1, 3 in ascending order.
z, 1, 3
Let m = -3 + 3.2. Let s = -12 - -10. Let t be 11/(-3) - (s - 1). Put m, t, -1/3 in decreasing order.
m, -1/3, t
Let u(p) = 8*p**2 + 2 - 13*p**2 + 0 - 8*p + 6*p**2. Let k = 4 + 3. Let j be u(k). Put j, -4, 5 in decreasing order.
5, -4, j
Let h = -0.3 - -0.2. Let a = h - 0. Let n = -0.001 + 0.301. Sort n, -4, a.
-4, a, n
Suppose 3*x + 57 = -3*t + 6*t, t = 5*x + 23. Suppose -2*o + 3*l = t, -5*l - 20 = 3*o + 2*o. Let g be 1 - (o/(-4) - 1). Put -0.5, g, -1/10 in decreasing order.
g, -1/10, -0.5
Suppose 3*g + 3 = -2*a, -4*g - 9 = a + 5. Suppose 0 = -2*d + 2*b + 12, 3*b - 3 = -a. Put 3, -2, d in increasing order.
-2, 3, d
Let y = 2.3 - 2.5. Put 0.5, 0.3, y in ascending order.
y, 0.3, 0.5
Let u = 0.3 + -4.3. Put 3, u, -2/5, -2 in decreasing order.
3, -2/5, -2, u
Let z(u) = u**2 - 7*u + 9. Let h be z(6). Put 5, h, -4 in ascending order.
-4, h, 5
Let u(r) = -r + 5. Let w be u(6). Let z be 5 - 2 - 0 - 0. Let v be (3/(-5))/(z/(-15)). Sort 5, v, w.
w, v, 5
Let z = -12 + 16. Put -2, z, -1 in descending order.
z, -1, -2
Let q = -11 - -7. Let t be (2/30)/(q/(-24)). Let y = -2/253 + 532/3289. Put t, y, -5 in descending order.
t, y, -5
Let b = 0.6 + 1.4. Sort -0.14, -0.1, 1, b.
-0.14, -0.1, 1, b
Suppose -x + 3*b = -0*b - 12, -4 = b. Let w(a) = x*a + 0 - 1 + a. Let t be w(5). Sort t, -5, -3.
-5, -3, t
Let y(f) = f - 1. Let t be y(4). Let r be 2/5 - (-81)/(-15). Sort -4, t, r in increasing order.
r, -4, t
Let c(b) = -b - 5*b + 47 - 40 - b**2. Let d be c(-7). Suppose -5 + 1 = 4*t. Sort 4, t, d in increasing order.
t, d, 4
Let n(y) = 5*y + 7. Let s(j) = j + 1. Let r(d) = n(d) - 6*s(d). Let c be r(1). Suppose c - 3 = -x, -3*b = x - 15. Sort -2, 5, b in ascending order.
-2, b, 5
Suppose -24 = 2*g - 16. Put 3, -1, g in descending order.
3, -1, g
Let j = 119 + -121. Let v = -4 - -8. Put j, -9, v in decreasing order.
v, j, -9
Suppose 0 = t - 3*t - 10, 0 = -2*a - 4*t - 38. Sort -2, a, 1 in descending order.
1, -2, a
Let a = -14 + 16.9. Let d = a + -3. Sort -3, 0.4, d in descending order.
0.4, d, -3
Let t be 2/(-13) + (-16424)/52. Let a = 2531/8 + t. Let g = -11 - -15. Sort g, 0.5, a.
a, 0.5, g
Let o = 29 - 21. Let r be 1 + -1 - (-12)/o. Put r, 5, 0.2 in decreasing order.
5, r, 0.2
Let b = -10 - -6. Let t be (-30)/8 + 1/b. Sort -2/5, -1, t.
t, -1, -2/5
Let i(t) = -t**2 - 4*t + 3. Let l be i(-6). Let r = l + 5. Suppose -4*h - 20 = 4*u, 10*h = 5*h. Put 3, u, r in ascending order.
u, r, 3
Let g = -9 + 9. Suppose g = 2*u, -5*u - 9 = 2*n - 3. Sort -1, -5, n in decreasing order.
-1, n, -5
Suppose 3*r = -4*c - 7 + 3, 5*r = 4*c + 4. Suppose 11 = 5*y - 2*i - 4, y + i - 10 = 0. Sort y, c, -4 in increasing order.
-4, c, y
Let k = 64 - 190/3. Let y be 20/(-10) + (-6)/(-4). Put y, 0.4, k in decreasing order.
k, 0.4, y
Let v = 7 - -3. Let w = v + -5. Put -1, w, -5 in ascending order.
-5, -1, w
Let s = 0.16 - 0.49. Let a = s - -0.03. Sort -4, a, 0.3 in decreasing order.
0.3, a, -4
Let w(f) = 3*f**2 + 1 + 8 - 2*f**2 + 8*f. Let b be w(-7). Let m(n) = -n**2 - 11*n - 17. Let a be m(-9). Put a, b, -3 in decreasing order.
b, a, -3
Let m be ((-8)/(-2) - 3)*-2. Suppose -b + 35 = 4*b. Suppose -3*z - 2*a = -b*a - 20, -4*a = -z + 9. Put m, 0, z in decreasing order.
z, 0, m
Let x = -5.6 + 4. Let l = x - 0.4. Let j = l - -4. Put -3, j, 1 in increasing order.
-3, 1, j
Suppose 6 - 2 = 2*d. Let f be 7/((-3)/3) - -2. Sort -0.3, d, f.
f, -0.3, d
Let a(n) = -2*n**2 + n + 1. Let k be a(2). Suppose -3*r = 3, -3*z + 3 = -4*r + 7*r. Suppose -f = -z*f + 3. Sort f, k, -4 in decreasing order.
f, -4, k
Let d = -53 - -21. Let t = -45 - d. Put 2, -3, t in descending order.
2, -3, t
Let y be 1*2*4/32. Let l be ((-6)/(-165))/((-4)/20). Let n be (-1 - 1) + (-16)/(-6). Sort y, n, l in descending order.
n, y, l
Let z(j) = -j**3 - 5*j**2 + 5*j - 6. Let f be z(-6). Sort -0.3, f, 0.5, -2/3 in descending order.
0.5, f, -0.3, -2/3
Let y = -4/25 - 38/75. Sort y, 0.04, -5 in ascending order.
-5, y, 0.04
Let p be (2/10)/(5/25). Sort -4, -17, p.
-17, -4, p
Let o = 10 - 10. Suppose 5*u - 8 = 7. Suppose o = u*t - 6*t + 6. Put -1, t, -3 in descending order.
t, -1, -3
Let y be (-2 - (-7)/4)*23. Let d = -2/255 + 39071/7140. Let g = y + d. Sort -2/3, g, -5.
-5, -2/3, g
Suppose 0 = 4*i - 20, z = -2*z + 4*i - 14. Suppose -12 = -2*v - z*v. Suppose -d = -5*a - 3, -5*a - d = -4*d + 9. Put a, v, 1 in descending order.
v, 1, a
Let s be (-1)/3 - (-4)/(-6). Suppose 2*o + 0*o - i = 3, 4*o = -i + 3. Suppose 16 = 5*h + o. Put 5, s, h in decreasing order.
5, h, s
Suppose -2*z + 4 = -2*m, -z = 2*m - 1 - 10. Sort m, -3, -2 in increasing order.
-3, -2, m
Suppose -c + u - 3 = 4*u, -2*u = -c + 7. Let h(i) = -i + 5. Let t be h(4). Let m = t + 0. Sort c, 2, m.
m, 2, c
Suppose 4*m = -3*f + 3*m - 12, -2*m = 2*f + 4. Let q = -29 - -27. Sort -1, q, f in decreasing order.
-1, q, f
Suppose -3*f = -4*j + 5*j + 16, 3*f - 4*j + 11 = 0. Sort -1, f, 3, 1 in increasing order.
f, -1, 1, 3
Let h(o) = -o**3 + 10*o**2 + o - 10. Let u be h(10). Put -1, u, 4 in decreasing order.
4, u, -1
Let i(g) = -g + 30. Let o be i(19). Let s = o - 9. Put 4, s, -4 in increasing order.
-4, s, 4
Let k be 1/(-5)*10/(-8). Let m = -9 + 8. Sort m, k, -2 in increasing order.
-2, m, k
Suppose -3*n = -0*n - 3. Sort -2, n, 2 in descending order.
2, n, -2
Let x = 0.02 - 5.02. Let k = 0.12 + -0.02. Sort x, 2, k in decreasing order.
2, k, x
Suppose -2*t = 5*g + 31 - 11, -3*g - 4*t - 26 = 0. Let r be 0*(3 - 5)/g. Suppose r = -5*j - 1 - 4. Sort -5, j, -3.
-5, -3, j
Let b = 1 + 0. Let d = 1132 + -1131.7. Put -0.3, b, d in decreasing order.
b, d, -0.3
Let b = -1 + -1. Suppose w + 5*y = 1 + 6, 3*w + y - 7 = 0. Suppose w*f + 10 - 2 = 0. Put b, 0, f in descending order.
0, b, f
Let l be (0/2)/(-2 + -1). Let o be 2*(1 - 3/6). Suppose -5*n - 11 = -o. Sort l, n, 4.
n, l, 4
Let t be (-1)/(-8)*2*1. Let a = -0.3 - 0.7. Sort a, t, 0.4 in ascending order.
a, t, 0.4
Let j = -22 + 24. Put -2/13, j, 0.1 in ascending order.
-2/13, 0.1, j
Let w = 7/24 + -19/120. Sort w, -0.2, 10, 1.
-0.2, w, 1, 10
Let p(r) = r**3 + 5*r**2 + 3*r - 3. Let x be p(-4). Let h = 7 - -8. Let b = -17 + h. Sort b, 5, x in decreasing order.
5, x, b
Let p = 49/20 + -9/4. Suppose 28 = -3*k + 19. Sort 4, p, k in descending order.
4, p, k
Suppose -4*y + 1 + 15 = 0. Sort -8, 3, y.
-8, 3, y
Suppose 0 = 3*b - 15, -b = 2*m - 0*b - 7. Let q = 0 - m. Let a be (1 - 3)/(2/3). Put q, a, 5 in descending order.
5, q, a
Let c = -5641/19 + 297. Let y(s) = 12*s - 2. Let i be y(-2). Let r be (56/i + 2)*1. Put r, 1, c in decreasing order.
1, c, r
Let r = -30 - -27. Suppose -3*z + 13 = 4*m, 0 - 11 = -5*z - 4*m. Put z, -2, r in descending order.
z, -2, r
Let m = -0.2 - 3.8. Let c = m - -3.4. Let d = c + 1. Sort -2/3, -2, d in descending order.
d, -2/3, -2
Let z = 32.5 + -32. Put -2/7, -2, z, -2/5 in increasing order.
-2, -2/5, -2/7, z
Let t = 163 + -159. Put t, 2, 1 in increasing order.
1, 2, t
Suppose 5*s + 39 = -3*k, -17 - 35 = 4*k - 4*s. Let o = -14 - k. Sort o, 1, 3.
o, 1, 3
Let b(p) = p**2 + p - 2. Let r be b(2). Suppose c - 10 = 3*c. Let q(a) = -a**3 - 4*a**2 + 5*a - 2. Let x be q(c). Sort -4, r, x in descending order.
r, x, -4
Suppose 2*a - 2 = -8. Put 5, a, 4 in ascending order.
a, 4, 5
Let b(f) = f - 2. Let d be b(5). Suppose 0 = -4*i - 2*m + 22, -m - 13 - 4 = -5*i. Suppose -4*p + 16 = 0, 2*t = t + i*p - 14. Put 4, d, t in ascending order.
t, d, 4
Let d be ((-50)/(-1))/(-4 + 5). Suppose -h = h - p - d, 0 = 5*h + 2*p - 125. Suppose 10 - h = -3*i. Sort i, 0, -4 in descending order.
i, 0, -4
Let r be 1/(-3 - 36/(-8)). Put r, 0.2, 0.4 in decreasing order.
r, 0.4, 0.2
Let g = 0.28 + -1.38. Let r = g + 1.6. Sort -0.4, -3, r.
-3, -0.4, r
Suppose -13*f + 12*f + 3 = 0. Suppose l - 20 = 5*l. Sort l, f, -3/2.
l, -3/2, f
Let c = 20 - 15. Suppose -20 = -o + 5*o. Let p = o + c. Put 2, -4, p in increasing order.
-4, p, 2
Suppose -7*b + 4*b + 5*h - 22 = 0, 4* | {
"pile_set_name": "DM Mathematics"
} |
j(v).
-2*v*(v - 6)*(v - 1)
Let m(p) be the second derivative of -p**4/30 - 5*p**3/6 - 33*p**2/10 + 4106*p. Find u, given that m(u) = 0.
-11, -3/2
Suppose 24*q**3 + 138*q**2 + 4*q**3 + 77163*q**4 - 77161*q**4 + 288*q + 216 = 0. Calculate q.
-6, -3, -2
Let g(u) = 2*u**2 + 6*u - 2. Let i be g(-4). Suppose 2 = -i*s + 14. Factor 74 - 74 + 8*m + 42*m**3 - 98*m**4 + 48*m**s.
-2*m*(m - 1)*(7*m + 2)**2
Let j(c) = 14*c**2 + 31*c - 9. Let x(s) = s**2 - s + 2. Let g(z) = -j(z) - 4*x(z). Let m(y) = 9*y**2 + 13*y. Let i(n) = -2*g(n) - 5*m(n). Factor i(o).
-(o + 1)*(9*o + 2)
Let b(v) be the second derivative of -7/9*v**3 + v + 1/30*v**5 + 26 - 1/9*v**4 - 4/3*v**2. Factor b(w).
2*(w - 4)*(w + 1)**2/3
Let n = 13974/11 + -41834/33. Let h = -2 - -6. Factor h*k**3 + 2/3*k**5 + 2/3*k + 8/3*k**4 + 0 + n*k**2.
2*k*(k + 1)**4/3
Determine x, given that -5*x**4 + 578/7*x - 221/7*x**2 + 0 - 1/7*x**5 - 321/7*x**3 = 0.
-17, -2, 0, 1
Let b be (6 - 5)/((-2)/(-318)). Let d = 430 - 271. Let -d + b + 0*n**3 + 4*n - n**3 = 0. What is n?
-2, 0, 2
Let z be ((-120)/(-144) + -1)*-60. Factor z*o**2 - 175*o**3 - 2695/6*o**4 + 20/3*o + 0.
-5*o*(7*o + 2)**2*(11*o - 2)/6
Let s(f) be the third derivative of 0 + 2/9*f**4 + 16/45*f**5 + 0*f**3 - 32/315*f**7 + 1/30*f**6 + 0*f - 1/36*f**8 - 149*f**2. Find j, given that s(j) = 0.
-2, -1, -2/7, 0, 1
Let t be (48/1216)/(3/8). Let v be -6*(7 + (-135)/19). Factor -v*i - t*i**2 + 14/19.
-2*(i - 1)*(i + 7)/19
Let q = 147 - 144. Determine s so that -22*s + s**5 + s**5 - 2*s**4 - 33*s**3 + 96*s**q + 6 + 28*s**2 - 41*s**3 - 34*s**3 = 0.
-3, 1
Let f(z) be the second derivative of -1/12*z**3 + 1/2*z**2 - 3*z + 1/40*z**5 + 9 - 1/8*z**4 + 1/60*z**6. Factor f(o).
(o - 1)**2*(o + 1)*(o + 2)/2
Let o(x) be the first derivative of -x**4/6 - 20*x**3/9 + 91*x**2/3 - 160*x/3 - 2102. Find u, given that o(u) = 0.
-16, 1, 5
Let k = -13052 + 65269/5. Let p be (4/(-10))/(4/(-20)). Solve k*z + 3/5*z**3 + 27/5 - 3*z**p = 0 for z.
-1, 3
Suppose 6*k + 2*k - 27 = -11. Let a(u) be the first derivative of -5*u**4 - 4 - 2/3*u**6 + 8/3*u**3 + 16/5*u**5 + 0*u**k + 0*u. Suppose a(p) = 0. Calculate p.
0, 1, 2
Let c(o) be the third derivative of -1/120*o**6 - o**2 + 4*o - 13/12*o**4 - 8/3*o**3 + 0 - 11/60*o**5. Factor c(t).
-(t + 1)*(t + 2)*(t + 8)
Let r(m) be the third derivative of m**5/30 + 39*m**4/4 + 230*m**3/3 + 13686*m**2. Factor r(q).
2*(q + 2)*(q + 115)
Let u(k) = 6041*k - 6036. Let p be u(1). Solve 0*d**4 + 0 - 1/3*d + 8/9*d**2 + 1/9*d**p - 2/3*d**3 = 0 for d.
-3, 0, 1
Let q(d) be the second derivative of -d**4/42 - 5*d**3/21 + 24*d**2/7 + 3359*d + 1. What is b in q(b) = 0?
-8, 3
Let s be -3 - 55/(-20) - 297/(-324). Let r(p) be the second derivative of -s*p**3 - 12*p**2 + 33*p + 1/3*p**4 + 0. Factor r(v).
4*(v - 3)*(v + 2)
Suppose 19*j - 37 = 1. Let -22 - 2*d**j - 9 - d**3 - 10 + d + 43 = 0. Calculate d.
-2, -1, 1
Let g(s) be the third derivative of s**7/420 - s**6/30 + s**5/20 + s**4/6 - 7*s**3/12 + 354*s**2 + s. Suppose g(w) = 0. Calculate w.
-1, 1, 7
Let r(p) = 2*p**2 + 4*p - 1. Let q(j) = 16*j**2 + 76*j + 79. Let m(d) = -2*q(d) + 18*r(d). Let m(h) = 0. Calculate h.
-2, 22
Let 2*z**2 - 213*z - 77 + 114*z - 279*z - 303 = 0. Calculate z.
-1, 190
Factor 8762043 + 3/4*m**2 - 5127*m.
3*(m - 3418)**2/4
Let r be ((-22)/40)/((-902)/6765). Factor -9/4 + 3/8*w**4 + r*w - 9/8*w**3 - 9/8*w**2.
3*(w - 3)*(w - 1)**2*(w + 2)/8
Suppose -68*v**4 + 18494 - 1950*v**3 + 63814 - v**5 - 62453*v - 18088*v**2 + 252*v**3 = 0. What is v?
-19, -12, 1
Let k(u) = -3160*u**2 + 1390*u + 25. Let s(o) be the first derivative of -81*o**3 + 107*o**2/2 + 2*o + 239. Let p(v) = -3*k(v) + 40*s(v). Factor p(m).
-5*(2*m - 1)*(24*m + 1)
Let s(v) be the first derivative of -5/2*v**4 + 0*v**2 + 19 + 0*v - v**5 - 5/3*v**3. Factor s(m).
-5*m**2*(m + 1)**2
Let m(h) = -17*h**3 - 34*h**2 - 21*h + 4. Let n(i) = 37*i**3 + 69*i**2 + 41*i - 9. Let j(u) = -9*m(u) - 4*n(u). Factor j(z).
5*z*(z + 1)*(z + 5)
Let b(d) = d**3 + 6*d**2 - 3*d - 20. Let o be b(-6). Let f(g) = g**2 + 247*g - 266. Let s(w) = 62*w - 66. Let v(q) = o*f(q) + 9*s(q). Solve v(x) = 0 for x.
1, 31
Suppose -5*u + 18 - 70 = -3*r, -5*r - 2*u + 97 = 0. Factor -5*g**4 + r*g - 9*g - 2*g**4 - 1 + 5*g**3 - 24*g**2 + 17*g**3.
-(g - 1)**3*(7*g - 1)
Let h(b) be the second derivative of -b**4/66 + 125*b**3/33 + 126*b**2/11 - b - 1055. Factor h(t).
-2*(t - 126)*(t + 1)/11
Suppose -216/7*m + 4/7*m**2 + 2916/7 = 0. Calculate m.
27
Let a(y) be the second derivative of 221*y**4/60 - y**3/30 - 2*y + 21. Factor a(q).
q*(221*q - 1)/5
Let n(a) = -4*a + 29. Let s be n(6). Let f be 0*(s + 33/(-6)). Solve 0*w**3 + 0*w**2 + 2/3*w**4 + f + 2/3*w**5 + 0*w = 0 for w.
-1, 0
Factor 6*w**2 - 192/7 + 152/7*w - 2/7*w**3.
-2*(w - 24)*(w - 1)*(w + 4)/7
Let d be (-9 - (-153)/18)/((-1)/4). Let z(m) be the first derivative of -8/21*m**3 - 25 + 1/14*m**4 - 5/7*m**d + 0*m. Factor z(l).
2*l*(l - 5)*(l + 1)/7
Let o(l) be the third derivative of l**8/336 + 8*l**7/105 - 3*l**6/20 - 4*l**5/15 + 17*l**4/24 - 455*l**2. Let o(q) = 0. What is q?
-17, -1, 0, 1
Let i = -107 - -111. Factor 2*x**4 + 20*x**3 + x**4 + x**i + 2*x**4 - x**4.
5*x**3*(x + 4)
Let n(p) = -6*p + 11. Let h be n(-5). Find w such that -w**2 + 102 - 140*w + 5*w**2 + h - 14 + 7 = 0.
1, 34
Let w(i) be the first derivative of i**6/72 + 5*i**5/24 + 5*i**4/6 - 5*i**3/3 + 3. Let y(c) be the third derivative of w(c). Factor y(b).
5*(b + 1)*(b + 4)
Suppose 128*h = 123*h + 50. Suppose 70*n**3 + 132*n + 356*n**4 - 723*n**4 - 188*n**2 + 363*n**4 - h*n**3 = 0. Calculate n.
0, 1, 3, 11
Let o(y) be the first derivative of -y**7/84 - y**6/20 + y**5/40 + y**4/8 + 21*y + 40. Let c(l) be the first derivative of o(l). Solve c(d) = 0.
-3, -1, 0, 1
Let d be (((-40)/45)/(-4) - 4/18)*1. Let v(z) be the third derivative of 1/240*z**5 + 0*z**3 + 0*z**4 - 25*z**2 + 0*z + 1/320*z**6 + d. Factor v(k).
k**2*(3*k + 2)/8
Determine l so that 1119744/7 - 3360960/7*l - 1124930/7*l**3 - 2/21*l**5 + 1730/7*l**4 + 10093250/21*l**2 = 0.
1, 1296
Let v(k) be the first derivative of k**6/84 + 4*k**5/105 - k**4/21 - 2*k**2 - 129. Let r(i) be the second derivative of v(i). Find w, given that r(w) = 0.
-2, 0, 2/5
Let j(x) = 2*x**3 - 9*x**2 - 4*x - 1. Let v be j(5). Suppose 88*c - 27 = 79*c. Factor 1/6*w**v + 8/3 - 4*w + 1/6*w**2 + w**c.
(w - 1)**2*(w + 4)**2/6
Let t(f) be the second derivative of 5/14*f**2 + 1/12*f**4 - 2 - 16*f - 11/42*f**3 - 1/140*f**5. Factor t(d).
-(d - 5)*(d - 1)**2/7
Let q = 195220 + -390439/2. Factor 0 + q*p**2 + 1/3*p**3 + 1/6*p.
p*(p + 1)*(2*p + 1)/6
Let d(o) = 2*o**2 - 6840*o - 20536. Let n be d(-3). Factor 0 + 1/4*k**3 + 121/4*k - 11/2*k**n.
k*(k - 11)**2/4
Let v = -10/827 + 857/2481. Let p(c) be the third derivative of -19*c**2 - 1/6*c**4 + 0*c + 0 - 1/30*c**5 - v*c**3. Factor p(h).
-2*(h + 1)**2
Let x(f) be the first derivative of -2*f**3/15 + 36*f**2/5 - 448*f/5 + 503. Determine y so that x(y) = 0.
8, 28
Suppose o - 25 = 6*o + 3*v, 25 = -5*o - 2*v. Let y(j) = j**2 + 18*j + 32. Let p(l) = 2*l**2 + 46*l + 80. Let z(d) = o*p(d) + 12*y(d). Factor z(f).
2*(f - 8)*(f + 1)
Let p = -1115 - -1109. Let d be (-52)/22 + (p - -4)*-2. Factor -62/11*m + 32/11*m**2 + d*m**3 + 12/11.
2*(m - 1)*(m + 3)*(9*m - 2)/11
Let t = -16308 + 16310. Factor -6/11 + 2/11*n**t - 4/11*n.
2*(n - 3)*(n + 1)/11
Let w = -21 + 26. Let z be (16 - 15) + (-41)/(-8) - w. Find m such that -z*m - 3/4 - 3/8*m**2 = 0.
-2, -1
Let b(o) be the second derivative of 75*o**6 - 615*o**5/2 + 925*o**4/3 - 416*o**3/3 + 32*o**2 - 236*o + 2. Find w such that b(w) = 0.
1/5, 4/15, 2
Let t(s) be the third derivative of s**9/5544 + 3*s**8/3080 - s**6/165 + 89*s**3/6 + 4*s**2 - 4. Let k(u) be the first derivative of t(u). Factor k(o).
6*o**2*(o - 1)*(o + 2)**2/11
Suppose -a = -13*q + 15*q - 9, 3*q = -3*a + 15. Let w = 5/422 - -4112/211. Find j, given that -9/2*j**q - w*j**3 + 6*j**5 - 9/2*j + 51/2*j**2 - 3 = 0.
-2, -1/4, 1
Factor -44 + 1/2*w**2 - 791/6*w.
(w - 264)*(3*w + 1)/6
Let s be 16/6*36/16. Let z(c) = 5*c**4 - 11*c**3 - 15*c**2 + 11*c + 16. Let y = 86 + -85. Let i(o) = o**3 - o - 1. Let m(d) = s*i(d) + y*z(d). Factor m(g).
5*(g - 2)*(g - 1)*(g + 1)**2
Let x = 7167 + -7165. Let m(d) be the first derivative of 1/6*d**x - 1/3*d - 3 + 1/12*d**3. Find p, given that m(p) = 0.
-2, 2/3
Let d(r) = r**2 + 2 | {
"pile_set_name": "DM Mathematics"
} |
in 58, 86, 114?
142
What is next in 5, 7, 5, -1, -11, -25?
-43
What comes next: -1738, -3474, -5204, -6928, -8646, -10358, -12064?
-13764
What is the next term in 4022, 8042, 12062?
16082
What is the next term in -22, -47, -58, -49, -14, 53, 158?
307
What comes next: 51, 10, -53, -138, -245, -374, -525?
-698
What is next in 205, 218, 231, 238, 233, 210?
163
What is next in 66, 129, 202, 291, 402, 541, 714, 927?
1186
What comes next: -136, -99, 10, 227, 588?
1129
What is next in -56, -215, -650, -1499, -2900?
-4991
What is the next term in -466, -469, -472, -475, -478, -481?
-484
What comes next: 113, 715, 1719, 3125, 4933, 7143, 9755?
12769
What comes next: 5010, 5004, 4996, 4986, 4974, 4960, 4944?
4926
What is next in 40, 32, 18, -2?
-28
What is next in 33, 78, 137, 216, 321, 458, 633, 852?
1121
What is the next term in -41, -45, -51, -59, -69, -81?
-95
What is the next term in 1, -10, -43, -110, -223, -394, -635?
-958
What comes next: -86, -152, -218, -284, -350, -416?
-482
What is the next term in 6, -6, -22, -42, -66, -94, -126?
-162
What is the next term in 139, 143, 155, 175, 203, 239?
283
What comes next: 1480, 1479, 1466, 1435, 1380, 1295?
1174
What comes next: 420, 419, 418, 417, 416, 415?
414
What comes next: -83, -354, -805, -1436, -2247, -3238?
-4409
What comes next: 12173, 12171, 12169, 12167?
12165
What is the next term in -42180, -42182, -42184, -42186, -42188?
-42190
What comes next: -322, -299, -266, -217, -146, -47, 86?
259
What is next in 84, 81, 64, 27, -36, -131, -264, -441?
-668
What comes next: 2, -2, -6?
-10
What is next in -299, -597, -883, -1151, -1395?
-1609
What comes next: 18, 19, 20, 21, 22?
23
What comes next: -6, -14, -22?
-30
What is the next term in -3141, -6280, -9419, -12558?
-15697
What is next in -24, -99, -224, -399, -624, -899?
-1224
What comes next: 662, 666, 672, 680, 690, 702?
716
What comes next: -12, -31, -56, -87, -124, -167?
-216
What is the next term in 65, 64, 63, 62, 61?
60
What is the next term in -26, -302, -1056, -2528, -4958, -8586, -13652?
-20396
What is next in 60197, 60195, 60193, 60191, 60189?
60187
What is the next term in 25, 26, 39, 70, 125, 210?
331
What is next in -47281, -47292, -47317, -47362, -47433, -47536, -47677, -47862?
-48097
What comes next: 102, 202, 368, 600, 898, 1262?
1692
What is the next term in -174, -181, -188, -195?
-202
What comes next: -374, -756, -1138, -1520?
-1902
What comes next: -1747, -3501, -5255, -7009?
-8763
What comes next: 4928, 9850, 14770, 19688, 24604, 29518?
34430
What comes next: -18, -34, -76, -156, -286, -478, -744, -1096?
-1546
What is the next term in 22, 42, 62, 82, 102?
122
What is next in -386, -771, -1156, -1541, -1926, -2311?
-2696
What is the next term in 471, 469, 465, 459?
451
What is the next term in -249, -499, -747, -993, -1237, -1479?
-1719
What is the next term in 499, 1002, 1519, 2056, 2619, 3214, 3847, 4524?
5251
What is next in 21, 34, 57, 90?
133
What is next in -49, -91, -133?
-175
What is next in 85, 170, 255, 340, 425?
510
What is the next term in -10, -62, -128, -190, -230, -230, -172?
-38
What is next in -48, -76, -122, -186?
-268
What is the next term in 310, 312, 338, 400, 510, 680?
922
What is next in 177, 167, 147, 111, 53, -33?
-153
What is the next term in 23, 37, 51, 65, 79?
93
What comes next: -66612, -66613, -66614, -66615, -66616?
-66617
What is next in 178, 188, 200, 214, 230, 248, 268?
290
What is the next term in 21, 25, 29?
33
What is the next term in 51, 54, 57, 60, 63?
66
What comes next: -21, -21, -31, -57, -105?
-181
What is the next term in -186, -173, -160, -147, -134, -121?
-108
What is next in 27262, 27261, 27260, 27259, 27258?
27257
What is the next term in 48, 372, 1248, 2952, 5760, 9948, 15792, 23568?
33552
What is the next term in 1061, 1049, 1029, 1001?
965
What is next in -383, -339, -257, -131, 45, 277?
571
What comes next: -100, -96, -92, -88, -84?
-80
What is the next term in 1674, 1673, 1672, 1671?
1670
What comes next: -93, -91, -87, -81, -73, -63, -51?
-37
What is the next term in -12, -38, -104, -228, -428, -722, -1128?
-1664
What is the next term in 20, 28, 40, 56?
76
What comes next: 6498, 6502, 6508, 6516, 6526?
6538
What is the next term in 83, 84, 81, 74, 63, 48, 29?
6
What is the next term in 91, 85, 79, 73, 67?
61
What is the next term in 283, 276, 263, 244?
219
What is next in 13, -1, -23, -53, -91, -137?
-191
What comes next: -65, -63, -61, -59, -57, -55?
-53
What comes next: 43, 33, 17, -5?
-33
What is the next term in 2, -8, -18, -28, -38?
-48
What is next in -101, -803, -2713, -6437, -12581, -21751, -34553?
-51593
What is next in 98, 173, 262, 371, 506, 673, 878, 1127?
1426
What is next in -130, -256, -378, -496, -610, -720?
-826
What is the next term in 3634, 3635, 3636, 3637?
3638
What is next in 545, 530, 497, 440, 353?
230
What comes next: -1, -19, -51, -97, -157, -231?
-319
What is the next term in 146, 142, 138, 134, 130, 126?
122
What is the next term in 25, 119, 277, 499, 785, 1135, 1549?
2027
What is the next term in -107, -188, -281, -392, -527?
-692
What is next in 879, 884, 889, 894, 899, 904?
909
What comes next: -58, -128, -208, -298, -398, -508?
-628
What is the next term in -26, -4, 16, 34, 50, 64?
76
What comes next: -31, -24, -13, 2, 21, 44, 71?
102
What is next in 1, 1, -3, -11, -23, -39?
-59
What comes next: -329, -327, -325, -323, -321?
-319
What is next in -39, -74, -109?
-144
What comes next: 66, 139, 212, 285, 358, 431?
504
What is next in 1476, 1478, 1480, 1482, 1484?
1486
What is the next term in -6, -38, -118, -270, -518?
-886
What comes next: 304, 587, 870, 1153?
1436
What comes next: 694, 693, 692, 691?
690
What is next in 369, 1507, 3397, 6033, 9409, 13519, 18357?
23917
What is the next term in 962, 954, 940, 920?
894
What is next in -1036, -2069, -3102, -4135, -5168, -6201?
-7234
What is the next term in 26, 9, -46, -139, -270, -439?
-646
What is the next term in 569, 1115, 1661?
2207
What comes next: -136, -137, -140, -145, -152, -161, -172?
-185
What is next in 4, 12, 24, 40, 60, 84?
112
What comes next: -64, -124, -194, -280, -388?
-524
What is next in -25, -62, -125, -226, -377, -590?
-877
What is the next term in -379, -386, -405, -442, -503, -594?
-721
What comes next: -194, -196, -198?
-200
What is the next term in -35, -32, -33, -38, -47?
-60
What is the next term in 91, 195, 321, 481, 687, 951, 1285, 1701?
2211
What is the next term in -24, -15, -10, -15, -36, -79?
-150
What is the next term in 774, 1550, 2326, 3102, 3878?
4654
What comes next: -51, -91, -119, -129, -115, -71, 9, 131?
301
What comes next: 45, 305, 1017, 2409, 4709, 8145?
12945
What is next in 133, 131, 127, 121, 113, 103, 91?
77
What comes next: -9, -13, -27, -57, -109, -189, -303?
-457
What comes next: -7816, -15633, -23450, -31267, -39084?
-46901
What is next in 1025, 1027, 1029?
1031
What is next in 15, 20, 17, -6, -61, -160?
-315
What comes next: 8, 40, 106, 224, 412, 688, 1070?
1576
What is next in 45, 50, 67, 102, 161, 250, 375, 542?
757
What is next in -122, -213, -304?
-395
What comes next: 79, 175, 289, 427, 595, 799?
1045
What comes next: -65, -145, -239, -347, -469?
-605
What comes next: -51, -43, -31, -15, 5, 29?
57
What comes next: 270, 259, 232, 183, 106, -5, -156, -353?
-602
What is next in -3, 19, 65, 147, 277, 467?
729
What is next in 91, 160, 229, 298, 367, 436?
505
What comes next: 1, 5, 15, 31, 53, 81, 115?
155
What comes next: 8, 21, 36, 53?
72
What is next in 2232, 2245, 2266, 2295?
2332
What is the next term in 59, 265, 607, 1085, 1699, 2449?
3335
What is the next term in 15, 6, -15, -54, -117, -210, -339?
-510
What comes next: 1292, 1286, 1266, 1226, 1160, 1062?
926
What comes next: -3388, -3397, -3408, -3421, -3436?
-3453
What is next in 165, 341, 521, 705, 893, 1085, 1281?
1481
What is next in 0, 14, 48, 108, 200?
330
What comes next: 38, 86, 158, 248, 350?
458
What is the next term in -55, -429, -1441, -3409, -6651, -11485?
-18229
What comes next: -47, -78, -109, -140?
-171
What is the next term in -13, -30, -57, -100, -165, -258, -385?
-552
What is next in 281, 544, 785, 992, 1153, 1256, 1289?
1240
What is next in -240, -1004, -2292, -4116, -6488, -9420, -12924?
-17012
What is the next term in -91, -81, -71, -61?
-51
What comes next: -1 | {
"pile_set_name": "DM Mathematics"
} |
-2)/(-6) + (-140)/(-30). Let b = 6 - m. What is the units digit of (175/28)/(b/4)?
5
Let z(n) be the first derivative of -4*n**2 + 18*n + 4. What is the tens digit of z(-8)?
8
Let q(d) be the third derivative of 5/6*d**3 + 7/24*d**4 + 0*d + 0 - 1/120*d**6 - 7*d**2 - 3/20*d**5. What is the tens digit of q(-10)?
3
Let c(d) = d**3 - 5*d**2 + 2*d + 4. Let s be c(4). Let r be s*29/2 + 3. Let f = 77 + r. What is the tens digit of f?
2
Suppose 2*p + 9 = -3*v + 4*p, -2*p = -6. Let i be 3 + 2 + (-3 - v). Suppose q + i*q - 12 = 0. What is the units digit of q?
3
Suppose 3*g - 2*g - 24 = 0. Suppose -a + 5*o = -5*a + 11, -3*o = a - 1. What is the tens digit of a + (0 - 1) + g?
2
Let y be 5/(-1) + 40/5. Suppose 55 = -4*i + r + 708, -461 = -y*i - 5*r. What is the tens digit of i?
6
Let l(n) = -42*n. Suppose 5*z - 28 = -103. Let j be (-6)/10 - (-6)/z. What is the units digit of l(j)?
2
Suppose 13*h - 33 = 10*h. Let p = 49 + h. What is the units digit of p?
0
Let z(u) = -u**3 - 2*u**2 + 1. What is the tens digit of z(-5)?
7
What is the hundreds digit of 210/(4*6/80)?
7
Let z = 17 - 6. Suppose -5*j - z = 29. Let x = 12 + j. What is the units digit of x?
4
Suppose 1011 = -7*h + 4427. What is the hundreds digit of h?
4
Let y be 1 + ((-22)/2)/((-2)/34). Suppose 0 = -42*f + 38*f + y. What is the units digit of f?
7
Suppose -5*g + 48 = 3*g. Suppose -25 = -g*q + 233. What is the tens digit of q?
4
Suppose 12*h - 2148 - 4224 = 0. What is the tens digit of h?
3
Let r = -12 + 12. Suppose -l + 3 = -r*l. Suppose -5*t + 2*b = -52, 6*t - 2*b - 32 = l*t. What is the units digit of t?
0
Suppose 0*x + 15*x = 9450. What is the tens digit of x?
3
Let x(n) = -2*n**3 + 26*n**2 - 16*n - 39. Let c(b) = b**3 - 13*b**2 + 8*b + 19. Let k(z) = 13*c(z) + 6*x(z). What is the hundreds digit of k(13)?
1
Suppose 703 = 17*x + 20*x. What is the tens digit of x?
1
Let w(y) = -3*y - 21. Let d be w(-9). Suppose k - 5 = d*k, -5*f + 105 = -5*k. What is the tens digit of f?
2
What is the units digit of 975 - 2/4*6?
2
Let t(u) = -u**3 + 4*u**2 - 3*u + 1. Let l be t(2). What is the tens digit of 10 + 0 - (-2 + l + -2)?
1
Let f(w) = w**3 - w**2 + w. Let o(j) = 27*j**3 + j. Let h(y) = -2*f(y) + o(y). What is the tens digit of h(1)?
2
Let o(f) = f**3 + 4*f**2 + 5*f + 5. Let b be o(-3). What is the units digit of (((-8)/12)/((-4)/(-426)))/b?
1
Let i(d) = -8*d**3 - 11*d**2 - 22*d + 1. What is the thousands digit of i(-8)?
3
Suppose -j + 1 = 3*y, 2*j - 7*j + 2*y = 29. Let d be (j/3)/(3/(-9)). Suppose -3*a = -m - 7, -4*m + 3 + d = -3*a. What is the units digit of a?
4
What is the hundreds digit of 4/18 - 528814/(-198)?
6
Let l be (-74)/(-3) - (-1)/3. Suppose 3*p + n - 13 = 0, -n + 5*n = -3*p + l. Suppose -3*k + 3*z = -30, -k + 4 - 2 = p*z. What is the units digit of k?
8
Let g(f) = 3*f + 4. Let b be g(0). Let d(o) = 5*o + 7. What is the units digit of d(b)?
7
Let x(i) = 8*i - 16. Let z(k) = k**2 - 2*k. Let f be z(3). Suppose 0 = d - 4 - f. What is the units digit of x(d)?
0
Let i = 3 - -32. Let g be i/15 - (-2)/3. Suppose 3*m - g = -2*k + 8, 0 = -5*m - 25. What is the units digit of k?
3
Let m(l) = -2*l - 6. Suppose -3*g + 15 = 0, 3*s - 3*g = 4*s - 15. Let v be m(s). Let k = v + 35. What is the tens digit of k?
2
Let k(l) = 3*l**2 - 3*l**2 - l**3 + 0*l + 4*l - 5 - 8*l**2. Let v be k(-9). Suppose -6*c = -2*c - v. What is the tens digit of c?
1
Suppose -b - 295 = -1531. What is the units digit of b?
6
Let l = -357 - -416. What is the tens digit of l?
5
Suppose -3*n + 0*i - 2*i + 10 = 0, 0 = 2*n + 4*i - 12. Let a be 18/(-3*3/(-66)). Suppose n*r = -r + a. What is the tens digit of r?
4
Suppose w + 3*w + 5*j - 52 = 0, -5*w + 65 = -2*j. Suppose -2*c = -w*c + 2365. What is the hundreds digit of c?
2
Let r = -134 - -45. Let a = r + 93. What is the units digit of a?
4
What is the tens digit of ((-6)/9)/((-13)/5538)?
8
What is the hundreds digit of (310/(-1))/(-6*10/330)?
7
Let b = 885 - -3010. What is the units digit of b?
5
Suppose -9268 = 177*l - 184*l. What is the thousands digit of l?
1
Let l = 1319 + -848. What is the units digit of l?
1
Let x(q) = -q**3 + 6*q**2 - 4*q - 2. Suppose 6*i - 9*i = -15. Let f be x(i). Suppose -4*t + 96 = -f*b, -4*t + b + 60 = -28. What is the units digit of t?
1
Suppose -29*p = -4173 - 32. What is the tens digit of p?
4
Let s be 31*(3 + -3 + 1). Let l = -91 - -91. Suppose -y + l*y = -s. What is the units digit of y?
1
Let y = 550 - 254. What is the hundreds digit of y?
2
Suppose -3*p = 2*a - 11 - 29, 2*p + 2*a - 24 = 0. Let b = 1 - 14. Let h = p + b. What is the units digit of h?
3
Let f = 2366 - 48. What is the units digit of f?
8
Let c(t) = -2 + 2*t + 2*t**2 + 8 + 5*t - 2. Let z be 68/(-18) + 24/(-108). What is the units digit of c(z)?
8
Let g = -7 + 70. What is the units digit of 356/3 + (-3)/g*-7?
9
Let s(c) = -3*c - 10. Let i = -26 + 21. Let f = -18 - i. What is the tens digit of s(f)?
2
Let g = 2348 + -705. What is the units digit of g?
3
Let n(w) = -w**3 - 22*w**2 - 55*w + 13. What is the units digit of n(-23)?
7
Suppose 4*f = 3*f + 40. Suppose -5*p + p = -f. Suppose -5*x - 4*v - 126 = -p*x, -2*x + 3*v = -49. What is the tens digit of x?
2
Let h be (-1)/(-3) + (-40)/12. Let s(n) = -4*n**3 - 3*n**2 + n - 7. What is the units digit of s(h)?
1
Suppose 2*k - 12594 = -4*q, 16*k = 14*k + 2. What is the thousands digit of q?
3
Let j(r) be the second derivative of 0 - 1/4*r**5 - 1/2*r**2 + 1/12*r**4 - 1/2*r**3 - 6*r. What is the tens digit of j(-2)?
4
Suppose 5*i + 3 = 3*h - 3, -4*i - 2*h + 4 = 0. Let t = 61 + -56. Suppose -5*u + 3*a + 3 = i, -t*u + a - 4*a + 27 = 0. What is the units digit of u?
3
Let o = -30 + 16. What is the tens digit of ((20/(-8) - 0) + -2)*o?
6
Let a(h) = -h**3 + 4*h**2 - 3*h + 1. Let g be a(2). Suppose 0 = -6*j + g*j + 48. Suppose -4*d + 0 - 4 = 3*f, -4*d - j = 0. What is the units digit of f?
4
Let x be (-7)/(-2*2/12). Suppose c - 5*n - 7 = -3*n, c + 5*n - x = 0. Let g = 21 - c. What is the tens digit of g?
1
Suppose -1548*s + 1541*s = -13510. What is the thousands digit of s?
1
Suppose 2*a = 52 + 44. What is the tens digit of (-1488)/a*-1*(1 - 0)?
3
Let a(y) = 427*y**2 + 14*y + 40. What is the tens digit of a(-2)?
2
Let x(y) = 8*y**3 + y**2. Let v be x(-1). Let k = -7 - v. Suppose k*h = -3*h + 114. What is the tens digit of h?
3
Let u = -583 + 3414. What is the tens digit of u?
3
Suppose 62*l - 59*l = 0, 3426 = 3*o + 2*l. What is the hundreds digit of o?
1
Let j be (-1)/(12/(-36704)) - (-8)/6. What is the tens digit of 8/52 + j/52?
5
Let x(t) = -9*t**3 - 3*t**2 - t - 7. What is the tens digit of x(-3)?
1
Let u be 6/(-4)*(1 + 978/(-18)). Let g = 87 - u. What is the units digit of g?
7
Suppose 11*c = -84 + 95. Let k(h) = 55*h + 15. Let a(t) = -28*t - 7. Let j(v) = -9*a(v) - 4*k(v). What is the units digit of j(c)?
5
Suppose -8836 + 36252 = 8*h. What is the units digit of h?
7
Suppose -2*s - 34 = -10. Let i(w) = w**3 + 12*w**2 - 1. Let n be i(s). What is the units digit of n - (-3 - (7 - -2))?
1
Let r(c) = -12*c - 19. Let y(q) = 13*q + 20. Let o(i) = -6*r(i) - 5*y(i). What is the units digit of o(5)?
9
Let i(b) = 22*b**2 + 9*b + 24. Let s be i(-4). Suppose -l - l + 215 = -3*g, 3*l = g + s. What is the hundreds digit of l?
1
Suppose 2*z - 2 - 2 = 0. What is the units digit of 43 + 3 + (z - 2)?
6
Suppose -790 = 65*t - 67*t. What is the tens digit of t?
9
Suppose 116*h - 124*h + 256 = 0. What is the units digit of h?
2
Let n(y) = 331*y**3 + 2*y**2 - 1. What is the hundreds digit of n(1)?
3
Suppose -2*r + 3*w = -1615, -r + 4*w + 777 = -33. What is the units digit of r?
6
Suppose 0*b + 16*b - 2912 = 0. Suppose 139 = 4*l - 4*k - 73, -2*k + b = 4*l. What is the units digit of l?
8
Let k(u) = u**2 - 9*u + 12. Suppose 3*q = -q - o + 23, o = -3*q + 18. Let d be k(q). Let r(t) = 2*t**2 + 10*t - 8. What is the tens digit of r(d)?
4
Suppose 78 = 3*f + j - 178, -1 = -j. What is the units digit of f?
5
Suppose 0 = -5*k + 5*t + 605, 3*k - 351 = 2*t + 9. What is the tens digit of k?
1
Suppose -26*i = -7*i - 4959. What is the units digit of i?
1
Let q be ((-2)/4)/(2/(-8)). Let r(t) = -2*t**2 + 12*t + 12. Let b be r(6). What is the tens digit of 123/b*(q - -2)?
4
Let c = 39 - 14. Let d be (1/3)/(((-3)/(-306))/1). Let k = d - c. What is the units digit of k?
9
Let o(y) = y**2 | {
"pile_set_name": "DM Mathematics"
} |
f for o.
-1
Let o(f) = -2*f**3 - 21*f**2 + 10*f - 11. Let c be o(-11). Solve 1 + c = -s for s.
-1
Suppose 5*v = -y + 19, 0 = -0*v + 3*v + 3*y - 21. Solve -v*l = -4*l for l.
0
Let r be 4/((-1)/(-1 + 0)). Suppose 0 = -r*x + 5*x - 8. Solve -x*d = -3*d + 10 for d.
-2
Let n be (-13 - -1)*2/(-8). Solve -6 - 6 = -n*l for l.
4
Let w(s) = 2*s - 4. Let a be w(3). Suppose 0 = -3*d + 4*d - 4. Let z = a + d. Solve 4*p = -z - 6 for p.
-3
Let w(t) = t**3 - t**2 + 2. Suppose -3*c + 2*c = 0. Let f be w(c). Solve -f*i = i for i.
0
Let j be ((-2)/3)/((-2)/(-6)). Let o be ((-5)/2)/(j/4). Solve -2*s + 3*s = -o for s.
-5
Suppose -2*l - n = -4*n - 2, -l - 5*n = 12. Let a(h) = -3*h - h**2 + 0*h - h**2 + 2 - h**3 + 2*h. Let c be a(l). Solve -c*d = d - 25 for d.
5
Suppose 4*h + 9 = -11. Let l = h + 8. Solve 0*p = l*p for p.
0
Suppose 0 = -2*x - 3*a + 45, -5*x + a + 29 = -41. Solve -5*j - x - 10 = 0 for j.
-5
Let m(i) = 6*i**2 - i. Let y be m(1). Let r = 7 - y. Solve t + r*t + 12 = 0 for t.
-4
Suppose -4*u = g + 2 - 3, 0 = 2*u + g - 1. Suppose 0 = -u*y - 2*y + 8. Solve y = -2*q + 14 for q.
5
Let s = -7 + 11. Suppose 3*w + 0*w = 18. Suppose -5*p + w = -s. Solve 0 = p*f - 0 + 8 for f.
-4
Let a(m) = -7*m + 44. Let i be a(6). Solve -r - i = -2*r for r.
2
Let m(n) = -3*n - 6. Let c be m(4). Let x = c + 20. Solve -r - 5 = -x for r.
-3
Suppose 5 - 1 = y - 3*g, 0 = -y - 4*g - 3. Solve 1 = w - y for w.
2
Let v(f) = f**3 - 2*f**2 - 2*f - 3. Let n be v(3). Let h = 4 + n. Solve -13 + 1 = h*m for m.
-3
Let f be -6*(-1 - 2/12). Solve -4*h = -9 - f for h.
4
Let q(s) = -3. Let j(k) = 1. Let f(t) = -17*j(t) - 6*q(t). Let p(v) = v**2 - 3. Let w(u) = 4*f(u) + p(u). Let l be w(-2). Solve 0*d = l*d + 10 for d.
-2
Let q = 3 + -1. Suppose -5*j + q*y = 0, y + 0*y + 5 = 5*j. Solve k = -0 - j for k.
-2
Suppose 0 = 3*v + 6*y - y + 9, -4*v + 3*y = -17. Solve 4*u - 10 = v for u.
3
Suppose -4*x = 4*s - 44, -x = -2*x. Let b = s + 5. Suppose 0 = -5*z - 5, -2*u - z - 3*z + b = 0. Solve -u = -3*r + 2 for r.
4
Let a be 2 + 2/((-6)/9). Let v = 2 - a. Solve 3*b - 12 = v for b.
5
Let n(u) = u**3 + u**2 - u. Let p be n(-2). Let h be ((-9)/3 - 25)/p. Suppose -2 + h = 4*x. Solve -x*w = -5 - 7 for w.
4
Let p(f) = f**3 + 4*f**2 + 2*f + 5. Let i be p(-4). Let k(x) = x**2 + 2*x - 3. Let u be k(i). Solve u*t + 4 = 2*t for t.
2
Let t be 7/((-14)/6) + 3. Solve -5*a - 1 - 9 = t for a.
-2
Suppose j = 2*a - 4, -4*j + 28 = -9*j + 2*a. Let i be j/(-8) - 6/(-24). Solve l = -0 + i for l.
1
Let l = 8 + -3. Let i = -4 + l. Let q = -1 + i. Solve q = -0*b - 4*b - 20 for b.
-5
Let o = 25 + -22. Solve -4*w + o*w + 1 = 0 for w.
1
Let m = -15 - -17. Solve -m*u = -0*u - 6 for u.
3
Let a(c) = -6*c**2 - c + 9. Let i(u) = u**2 - 1. Let j(f) = -a(f) - 5*i(f). Let p be j(-3). Suppose -p*x + 10 = 3*x. Solve 0 = -g + 2 + x for g.
4
Suppose z + 0*z - 2 = 0. Suppose c - z = -3*s + 11, 21 = 4*s + 5*c. Suppose 4*u - 18 = s*q - 6, 2*q + 4 = u. Solve 0 = 2*m - 0 + u for m.
-1
Let f = 22 + -20. Solve f*u = 5*u - 3 for u.
1
Suppose -3*u + 19 = -0*d + 5*d, 9 = u - d. Suppose 4*a + u = -44. Let h = a - -21. Solve 23 = -3*n + h for n.
-5
Suppose 0 = -2*v - 4*j + 54, 2*j + 103 = 3*v - 3*j. Let y = 47 - v. Solve -4*r + 0 = y for r.
-4
Let y(c) = 11*c + 3. Let u(j) = 78*j + 21. Let k(w) = 2*u(w) - 15*y(w). Let r be k(-2). Suppose x - r = -3*t, 2*x = -2*x + t + 8. Solve 0 = x*d - 2*d + 5 for d.
-5
Suppose f = -0*f + 4. Solve f*k - 6*k = 0 for k.
0
Let x(i) = i**3 + i**2 + i + 9. Let o be x(0). Let q be (-1)/(-4) + o/12. Solve a + 2 + q = 0 for a.
-3
Let q = -4 - -10. Let y = q - 2. Solve y*r - 4 = -0*r for r.
1
Let v be ((-4)/(-10))/((-6)/30). Let a be 10 - 0/(-2) - v. Solve -a = 3*c - 0*c for c.
-4
Let j = -8 - -2. Let v = j - -8. Let d = 5 - -7. Solve -2*g - d = v*g for g.
-3
Suppose -5*m + 0*m - 5 = 0. Let j = m - -4. Let r(h) = h - 3. Let z be r(j). Solve z*v = v for v.
0
Suppose 2*r = -s + 3*s + 46, 0 = 3*r + 5*s - 45. Solve 4*v + r = -0*v for v.
-5
Let s be 7 - 2 - (0 - 0). Solve -s*t - 13 - 7 = 0 for t.
-4
Let w be (-17)/(-2*2/8). Let b = w + -30. Solve -3 - 5 = -b*u for u.
2
Let u = 8 + -15. Let v = -2 - u. Suppose 4*g = -5*t + 12 + 9, v*g = -t. Solve -6*o = -o - t for o.
1
Let d(v) = v**3 + 14*v**2 - 15*v. Let q be d(-15). Solve q = -3*b + 3 - 9 for b.
-2
Let b be (0 - (-2 - 1))/(-2 + 3). Solve b*i - 6 = i for i.
3
Let h be (-2)/7 + (-95)/35. Let w be (h - 0/(-2))/(-1). Solve 5*y = -w - 22 for y.
-5
Let l = 16 + -11. Suppose -5*f = a + 18, -3*a - 16 + 42 = -l*f. Solve -9 = -a*b - b for b.
3
Let v = -13 + 18. Solve -4 - 1 = v*y for y.
-1
Suppose 3*f = v - 17 + 2, 5*v - 3*f = 15. Suppose -20 = -5*z - v. Solve 6 = -2*r + z*r for r.
3
Let i = 5 - 0. Suppose -3*g + 11 = 3*j + j, -5*g - i*j + 20 = 0. Solve 0 = -g*d - 10 for d.
-2
Suppose 0 = 4*u - 31 + 11. Suppose 3*d + 5*f = d + 22, 0 = -4*d - u*f + 24. Solve -d - 2 = -o for o.
3
Let b be 22 + -2 + (2 - 6). Let x = -14 + b. Suppose 3*t = t + 24. Solve i - t = -x*i for i.
4
Suppose 0 = -2*c - 0*c + 30. Solve 0 = 3*j - 0 - c for j.
5
Let f(x) = -x - 3. Let r be f(-10). Let p = r + -3. Solve -21 = -p*l - 9 for l.
3
Let u be (5 - -1)/(-3)*-2. Solve u*j - 23 = -3 for j.
5
Let j(h) = 2*h + 28. Let f be j(-13). Let w = 25 + -10. Solve w = f*n + n for n.
5
Suppose 4*l = 3*g + 10 - 3, -l - 2*g + 10 = 0. Solve 0 = 2*w - 8 + l for w.
2
Suppose -2*r = -5*r + 57. Let f = r + -11. Let q = 2 - 0. Solve -q + f = -3*t for t.
-2
Let f(b) = b - 6. Let q be f(9). Suppose 2*c + 5*u = 25, c + q*c + 5*u - 25 = 0. Solve 2*j + j + 9 = c for j.
-3
Suppose 8*l - 8 = 4*l. Let b be -3 - -3 - (-8)/2. Solve l*y = y + b for y.
4
Suppose 0 = -n, -7 - 5 = 4*a - 2*n. Let d(f) = f**3 + 4*f**2 + 3*f + 2. Let m be d(a). Solve 0*x - 10 = m*x for x.
-5
Suppose -3*o + 6 = -o. Let s = o - -5. Solve 0 = 4*v - s + 4 for v.
1
Let l = 52 - 36. Suppose 0 = 4*f - l, -14 = -2*b - 2*f + 2. Solve 5*g + b = 9 for g.
1
Let w = 8 - 3. Let r = 5 + -7. Let t(s) = -s - 2. Let k be t(r). Solve -10 = w*c - k for c.
-2
Let l = -49 + 33. Let r = l - -22. Solve -r*s + s = 10 for s.
-2
Let j(d) = -d**2 - 7*d + 11. Let z be j(-8). Suppose 4*f + x = -3*x + 88, 4*x - z = f. Solve -4*n + f + 3 = 0 for n.
5
Suppose 2*s + 5*m - 25 = 0, 25*s = 30*s - 2*m + 10. Let l(o) = -o + 7. Let f be l(5). Solve s = f*d - 0 + 10 for d.
-5
Suppose g - p - 3 = -2*p, 3*g + 2*p = 9. Solve -g*u + 9 = -0 for u.
3
Let m(w) = w**2 - 8*w - 6. Let t be m(10). Solve 3*v = t + 1 for v.
5
Let h be 6 + 0 + (-5 - -2). Solve -2*x = -h*x for x.
0
Suppose -k = -4*k - 3. Let c = 3 - k. Solve 2*j + c = -2*j for j.
-1
Suppose -6*h + 9*h - 24 = 0. Solve 0 = 2*o + h - 2 for o.
-3
Suppose -5*b + 29 = -0*d + 2*d, -4*d = -5*b - 13. Solve 6*g - 3 = d*g for g.
-3
Suppose 0 = -7*n + 5*n - 28. Let h be 0/(-2)*(-14)/n. Solve h = -2*z + 5*z + 12 for z.
-4
Let c = 0 - -3. Suppose 4*g = g + 12. Solve 9 + c = -g*y for y.
-3
Suppose -5*d + 38 + 27 = 0. Suppose 4*a + 5*c = 6*a + 6, -50 = 5*a + 5*c. Let f = d + a. Solve j + 0*j = f for j.
5
Let u be 3/(-12) + 7/(-4). Let v = u + 2. Let s be (-3)/(-21) + -51*2/(-21). Solve v = -3*r + s + 10 for r.
5
Let m(d) = 5*d**3 + 2*d**2 - d. Let a be m(1). Let x be 1/((-2)/(-5))*2. Let z = x - 3. Solve a = 2*c - z for c.
4
Suppose 11 - 19 = -4*d. Solve -d*l - 12 = 2*l for l.
-3
Let o = -4 + 5. Let d be o + (0 + 0)/(-4). Solve d = -5*n - 9 for n.
-2
Suppose 20 = 3*q - 4. Let c = 15 - 11. Let l = -27 + 51. Solve c*v = l - q for v.
4
Let t be (-20)/(-70) + (-66)/(-14). Suppose 8*f = t*f. Solve f = 5*l - l + 8 for l.
-2
Suppose -8*q - 3*q = -8*q. Solve q*r + 10 = -5*r for r.
-2
Let f = -60 - -62. Solve f = -5*h + 12 for h.
2
Let f be (-2)/(-7) + 2/(-7). Let a = 6 - 2. Suppose a*k + 3*x = 43, -k + 2*k + x - 12 = f. Solve -k*n + 3*n = 4 for n.
-1
Suppose -o = o. Suppose 6*b - 2*b = 2*z + 20, -4*b + 3*z + 20 = o. Suppose 0 = 4*f - 14 - 46. Solve -b*c = -2*c - f for c.
5
Suppose 2*v + 64 = -4*i + i, -2*i = -4*v - 96. Let a = -23 - v. Solve -a*k = 2*k - 15 for k.
3
Let k be (16/12)/(4/6). Suppose 5*h = o + 3 + 9, -k*o = h - 9. Suppose 0 = -h*q + 5 + 1. Solve -q*l - 8 = -0 for l.
-4
Let v be 3*(-1)/(-3) + 2. Let x be (-2)/(-8) - 9/(-12). Let t = v + x. Solve 0*h + 4*h = -t for h.
-1
Let c(y) = y**2 + 17*y + 16. Let z be c(-16). Solve k + 0*k = z for k.
0
Suppose 2*b + 0*s - 14 = -2*s, | {
"pile_set_name": "DM Mathematics"
} |
visor of 1872800 and 21600?
800
Calculate the greatest common divisor of 2384 and 165008.
16
What is the greatest common divisor of 13754 and 265018?
26
Calculate the greatest common factor of 19402944 and 8.
8
Calculate the greatest common divisor of 1291 and 719346491.
1291
Calculate the greatest common factor of 372 and 2673841326.
186
Calculate the greatest common divisor of 387013 and 702262.
2563
What is the greatest common divisor of 102114 and 133407?
1647
What is the greatest common divisor of 13 and 221499863?
13
Calculate the highest common factor of 9272199 and 796893.
1623
What is the highest common divisor of 10 and 72155905?
5
Calculate the highest common factor of 5260130 and 4580.
2290
Calculate the greatest common divisor of 454 and 26861137.
227
Calculate the highest common divisor of 688653 and 4743.
153
Calculate the highest common factor of 732135 and 15315.
15
What is the greatest common factor of 69158 and 874894?
302
Calculate the highest common factor of 747 and 38425.
1
What is the greatest common factor of 225032 and 251666?
46
Calculate the highest common divisor of 17316845 and 4165.
245
Calculate the greatest common divisor of 82993482 and 2926.
418
What is the greatest common factor of 7883460 and 325260?
2340
Calculate the greatest common divisor of 14928 and 9074980.
1244
What is the highest common divisor of 9101919 and 102?
51
What is the greatest common divisor of 269595 and 3105?
135
Calculate the greatest common factor of 1770 and 187815231.
177
Calculate the greatest common factor of 84136 and 126360.
104
Calculate the greatest common factor of 390111 and 1725078.
3579
Calculate the highest common divisor of 5921640 and 6840.
360
What is the greatest common divisor of 3861 and 30208893?
429
Calculate the highest common factor of 270 and 15767200.
10
Calculate the greatest common divisor of 5138 and 577658.
734
What is the highest common factor of 17457 and 733953?
759
What is the highest common factor of 561 and 232313313?
51
What is the highest common divisor of 54 and 413773884?
18
Calculate the greatest common factor of 3393333 and 405.
81
What is the greatest common divisor of 407 and 31125288?
37
Calculate the greatest common factor of 479570 and 1309.
119
What is the highest common divisor of 1313100 and 16?
4
What is the greatest common factor of 32940 and 3085155?
135
Calculate the highest common factor of 8818626 and 710.
142
What is the greatest common factor of 837240 and 1920?
120
Calculate the greatest common factor of 228 and 55590884.
76
What is the greatest common factor of 1483 and 114053081?
1483
Calculate the highest common factor of 14 and 3023756246.
14
Calculate the highest common factor of 11800544 and 672.
224
What is the greatest common factor of 5730496 and 36800?
1472
What is the greatest common divisor of 529288 and 5312?
8
What is the highest common factor of 4555571 and 1835?
367
Calculate the greatest common divisor of 61507897 and 12782.
913
Calculate the greatest common factor of 22 and 536338.
22
Calculate the greatest common factor of 8579 and 6210823.
373
Calculate the highest common divisor of 263711799 and 78.
39
What is the highest common factor of 13 and 56308759?
13
Calculate the greatest common divisor of 606797 and 1696.
53
What is the highest common divisor of 23639196 and 84?
84
What is the greatest common factor of 52548177 and 1961?
37
What is the highest common factor of 560082 and 760?
38
Calculate the highest common factor of 72704 and 992.
32
What is the greatest common factor of 2685 and 178221171?
537
Calculate the greatest common factor of 4046 and 13584156.
578
Calculate the highest common divisor of 1132 and 224.
4
What is the highest common factor of 750492184 and 8?
8
What is the highest common divisor of 1404 and 2793908?
52
Calculate the greatest common factor of 20 and 2423556.
4
Calculate the highest common divisor of 1 and 82852803.
1
What is the highest common divisor of 50542 and 326474?
1366
What is the highest common factor of 18372930 and 100?
10
Calculate the greatest common factor of 14885115 and 1785.
1785
What is the greatest common divisor of 20758 and 135994?
194
What is the highest common divisor of 3737332 and 711?
79
Calculate the highest common factor of 8357200 and 6200.
200
What is the highest common divisor of 468061 and 238?
17
Calculate the highest common divisor of 118827 and 76773.
489
What is the highest common divisor of 413193 and 516021?
627
Calculate the highest common factor of 9786417 and 96.
3
What is the highest common divisor of 3665695 and 7865?
605
What is the greatest common divisor of 102 and 290986314?
102
Calculate the highest common divisor of 596 and 10380383.
149
What is the highest common divisor of 12515 and 3984776?
2503
What is the highest common factor of 1953 and 150563?
7
Calculate the greatest common factor of 27625004 and 1023.
11
What is the greatest common divisor of 287687128 and 4232?
4232
Calculate the highest common factor of 14271 and 335067.
201
What is the greatest common factor of 18 and 102229749?
9
What is the greatest common divisor of 1943 and 19456651?
29
What is the highest common divisor of 71824 and 141638?
134
Calculate the greatest common factor of 31454720 and 1760.
1760
What is the highest common factor of 4643025 and 6975?
2325
Calculate the greatest common divisor of 824 and 1776208.
8
What is the greatest common divisor of 1 and 24618544?
1
What is the highest common factor of 25821 and 264765?
57
What is the greatest common factor of 2823509 and 559?
559
Calculate the highest common divisor of 960 and 1514460.
60
What is the greatest common factor of 45 and 61529415?
15
What is the greatest common divisor of 1546233 and 16523?
533
Calculate the greatest common factor of 117 and 9927593.
13
Calculate the highest common divisor of 196906428 and 18.
18
Calculate the greatest common factor of 1661809 and 192329.
2161
What is the greatest common factor of 140 and 7973630?
70
What is the greatest common factor of 452 and 526644?
4
What is the greatest common factor of 2091950 and 164045?
1505
What is the highest common divisor of 10176 and 823832?
424
Calculate the highest common factor of 7560 and 2412520.
40
What is the highest common divisor of 6263519 and 403?
31
What is the highest common divisor of 273154009 and 3138?
523
Calculate the greatest common divisor of 19045 and 1980387.
293
Calculate the greatest common factor of 1102714226 and 6662.
6662
Calculate the greatest common divisor of 30 and 93729590.
10
Calculate the greatest common divisor of 1321 and 29360546.
1321
Calculate the highest common divisor of 82603773 and 21546.
3591
What is the highest common divisor of 305 and 22536145?
305
What is the highest common factor of 172823 and 2107?
49
What is the highest common divisor of 5 and 37802255?
5
Calculate the greatest common divisor of 108837 and 3587590.
4031
What is the greatest common divisor of 124 and 12340201?
31
What is the greatest common factor of 2927 and 966632969?
2927
Calculate the greatest common factor of 6251 and 50535763.
893
Calculate the highest common factor of 3181991 and 1351.
193
What is the greatest common factor of 1562 and 18281648?
1562
What is the greatest common factor of 1281860 and 1926?
214
What is the highest common divisor of 62361 and 20549979?
369
What is the greatest common factor of 18908890 and 202930?
910
Calculate the greatest common factor of 2140380 and 553190.
5170
Calculate the highest common factor of 176751 and 14473.
41
Calculate the greatest common factor of 10813 and 560556733.
10813
Calculate the greatest common factor of 122122 and 167258.
182
What is the highest common divisor of 18988 and 13348?
188
Calculate the greatest common factor of 283880 and 79124.
604
What is the greatest common divisor of 29138 and 2289904?
1714
What is the highest common factor of 73831 and 337?
1
Calculate the highest common divisor of 88 and 8179432.
8
What is the greatest common factor of 1099805 and 14204?
67
Calculate the highest common factor of 2925 and 1096329.
39
What is the highest common divisor of 597772 and 20572?
148
What is the greatest common factor of 25392 and 6708249?
1587
What is the highest common div | {
"pile_set_name": "DM Mathematics"
} |
thout replacement from rrrrreriitrrrtri. What is prob of picking 2 t and 2 i?
3/1820
Two letters picked without replacement from dkkkkkdhhkkkkdbdkh. What is prob of picking 1 d and 1 b?
4/153
Two letters picked without replacement from ssssssssss. What is prob of picking 2 s?
1
Four letters picked without replacement from nknknnnknk. What is prob of picking 4 k?
1/210
What is prob of picking 1 b and 1 m when two letters picked without replacement from xhxbxmxmmmxbbxb?
16/105
Calculate prob of picking 1 e and 2 j when three letters picked without replacement from aajxeeajoea.
1/55
Calculate prob of picking 1 g and 1 a when two letters picked without replacement from {g: 1, a: 1, r: 1, f: 1, v: 1, h: 2}.
1/21
What is prob of picking 1 c and 3 r when four letters picked without replacement from rcrccrcrcrccrrrrcc?
21/85
What is prob of picking 1 d and 3 y when four letters picked without replacement from {y: 6, d: 1, p: 3, n: 2}?
4/99
Four letters picked without replacement from gyfnnsysnfsngfynsgpg. Give prob of picking 1 n, 2 y, and 1 s.
4/323
What is prob of picking 1 m and 3 c when four letters picked without replacement from mwywczzcmwccy?
8/715
Calculate prob of picking 2 d when two letters picked without replacement from dddadladla.
2/9
Four letters picked without replacement from zjquyjyqjyzy. Give prob of picking 4 y.
1/495
Three letters picked without replacement from {l: 1, e: 2, m: 1, b: 2}. What is prob of picking 1 m, 1 b, and 1 l?
1/10
Three letters picked without replacement from wqwqmqqmmb. What is prob of picking 1 m and 2 w?
1/40
Four letters picked without replacement from wkkkxxxswsswwwhw. Give prob of picking 1 k, 2 w, and 1 s.
27/364
What is prob of picking 1 x and 1 b when two letters picked without replacement from bxxxxxxxxxxx?
1/6
Three letters picked without replacement from gagaaggagggagg. Give prob of picking 2 a and 1 g.
45/182
Calculate prob of picking 1 u and 1 e when two letters picked without replacement from {e: 3, k: 3, u: 1, b: 2, v: 1}.
1/15
Two letters picked without replacement from {t: 1, x: 1, s: 2}. What is prob of picking 1 x and 1 t?
1/6
Four letters picked without replacement from {x: 2, q: 4, i: 2, y: 1, v: 1}. What is prob of picking 2 x, 1 y, and 1 i?
1/105
Four letters picked without replacement from {b: 13, q: 3}. What is prob of picking 2 b and 2 q?
9/70
Three letters picked without replacement from {c: 6, j: 1, t: 2, o: 2, k: 1}. Give prob of picking 1 k and 2 o.
1/220
What is prob of picking 1 i and 2 f when three letters picked without replacement from puifsffupstu?
3/220
Two letters picked without replacement from {n: 9, k: 2}. What is prob of picking 2 n?
36/55
Calculate prob of picking 1 z, 1 e, and 1 u when three letters picked without replacement from {u: 2, e: 8, h: 4, z: 2, o: 4}.
8/285
Three letters picked without replacement from {s: 11, j: 3}. What is prob of picking 3 j?
1/364
Three letters picked without replacement from spppusspu. Give prob of picking 2 p and 1 u.
1/7
Calculate prob of picking 2 t when two letters picked without replacement from xkkktxkkxkxkjjtk.
1/120
Three letters picked without replacement from {n: 2, y: 4}. Give prob of picking 2 n and 1 y.
1/5
Two letters picked without replacement from vyoovovjootz. Give prob of picking 1 y and 1 j.
1/66
Three letters picked without replacement from mmjdqajjppjjpqj. What is prob of picking 1 j, 1 m, and 1 q?
24/455
What is prob of picking 3 g and 1 e when four letters picked without replacement from {g: 3, e: 1, o: 4, q: 2, n: 2, s: 3}?
1/1365
Three letters picked without replacement from amrrmrmarzamrzza. What is prob of picking 3 z?
1/560
Four letters picked without replacement from {p: 2, g: 1, f: 7, c: 3, t: 1}. What is prob of picking 1 g, 1 p, and 2 c?
6/1001
Calculate prob of picking 1 w and 1 t when two letters picked without replacement from {n: 1, t: 3, c: 2, w: 1}.
1/7
Three letters picked without replacement from ccvqcvqvccqvvjcc. Give prob of picking 1 j and 2 c.
3/80
What is prob of picking 1 v and 1 c when two letters picked without replacement from baamcvcbmbbcjcm?
4/105
Three letters picked without replacement from cqqqqccqccx. Give prob of picking 1 q and 2 c.
10/33
What is prob of picking 1 l and 2 k when three letters picked without replacement from elkbbkklllk?
8/55
Four letters picked without replacement from drdrlzllllzrddd. Give prob of picking 1 r and 3 l.
2/91
Three letters picked without replacement from kkkpkkkkkkpkppppkppp. What is prob of picking 3 p?
7/95
Three letters picked without replacement from bzyveke. What is prob of picking 1 y, 1 b, and 1 v?
1/35
Calculate prob of picking 3 r and 1 j when four letters picked without replacement from {r: 3, n: 9, j: 5, k: 2}.
5/3876
What is prob of picking 1 y and 1 u when two letters picked without replacement from uucyuuyucyuycc?
24/91
Two letters picked without replacement from oneeiaeonninnyeonoaa. Give prob of picking 2 n.
3/38
Two letters picked without replacement from xxxxxxxexxxx. What is prob of picking 1 e and 1 x?
1/6
Three letters picked without replacement from wjwwwwwj. What is prob of picking 1 w and 2 j?
3/28
Three letters picked without replacement from geegghee. Give prob of picking 3 e.
1/14
What is prob of picking 2 v when two letters picked without replacement from {v: 10, z: 9, f: 1}?
9/38
Three letters picked without replacement from xbbnbbkbr. Give prob of picking 1 b, 1 k, and 1 x.
5/84
Three letters picked without replacement from tpwpgpgtpoppttpwwx. What is prob of picking 1 w and 2 t?
3/136
Calculate prob of picking 1 u, 1 p, and 1 i when three letters picked without replacement from {i: 2, u: 1, y: 2, p: 6, k: 4}.
12/455
What is prob of picking 3 h when three letters picked without replacement from {c: 7, g: 6, d: 3, h: 3}?
1/969
Four letters picked without replacement from wssmwmnsfwefmwssnsms. Give prob of picking 1 m and 3 s.
28/969
Calculate prob of picking 1 e and 3 g when four letters picked without replacement from {g: 3, e: 3}.
1/5
Four letters picked without replacement from {h: 1, a: 1, j: 2, y: 1, o: 1, c: 2}. What is prob of picking 1 c, 1 y, and 2 j?
1/35
Calculate prob of picking 1 z, 1 u, and 1 a when three letters picked without replacement from zuauaaa.
8/35
What is prob of picking 1 s and 1 i when two letters picked without replacement from {i: 17, s: 2}?
34/171
What is prob of picking 1 z and 1 f when two letters picked without replacement from {f: 2, z: 2}?
2/3
Two letters picked without replacement from {c: 1, f: 1, x: 1, a: 1, j: 3}. Give prob of picking 1 j and 1 f.
1/7
Three letters picked without replacement from jyvyycs. Give prob of picking 1 s and 2 y.
3/35
Calculate prob of picking 2 v and 2 r when four letters picked without replacement from rrvvdrvvdrvvv.
126/715
Calculate prob of picking 1 p and 1 l when two letters picked without replacement from lqphqpvhhqvh.
1/33
Calculate prob of picking 1 i, 1 a, and 2 m when four letters picked without replacement from {a: 8, m: 5, i: 5}.
20/153
What is prob of picking 1 k and 1 y when two letters picked without replacement from {y: 2, e: 3, k: 5, x: 2}?
5/33
Two letters picked without replacement from {k: 1, m: 3, s: 1, q: 4, n: 2}. What is prob of picking 2 q?
6/55
Calculate prob of picking 2 t when two letters picked without replacement from {v: 6, x: 2, e: 2, t: 3, h: 1, p: 1}.
1/35
Two letters picked without replacement from ebfepmpppef. What is prob of picking 2 e?
3/55
Two letters picked without replacement from {d: 2, i: 4}. What is prob of picking 2 d?
1/15
Calculate prob of picking 2 x and 2 s when four letters picked without replacement from {c: 1, x: 4, s: 3}.
9/35
Three letters picked without replacement from iuiui. What is prob of picking 1 u and 2 i?
3/5
Three letters picked without replacement from hxrhvvxjvvvv. Give prob of picking 1 j, 1 r, and 1 v.
3/110
Four letters picked without replacement from hrrusseuswssuue. What is prob of picking 1 s, 2 e, and 1 u?
4/273
Four letters picked without replacement from lqnnnlqnnqnqnnqql. Give prob of picking 1 n, 1 q, and 2 l.
36/595
What is prob of picking 1 m, 1 z, and 1 s when three letters picked without replacement from {z: 6, v: 1, w: 1, s: 2, m: 3}?
18/143
Two letters picked withou | {
"pile_set_name": "DM Mathematics"
} |
+ 6*j - 1. Let r be s(6). Let x(u) = 6*u**3 - u**2 - u. Calculate x(r).
-6
Let v be (-17 + 2)*2/(-5). Let p(d) = -2*d + 7. Let o be p(v). Let u(i) = -i**3 - 4*i**2 + 3*i - 3. Determine u(o).
7
Let x(r) = r**3 + r**2 + r - 1. Let q(a) = -a**3 + 4*a**2 + 5*a + 1. Let h be q(5). Let j(i) = 2*i**3 + 4*i**2 + 2*i. Let m(v) = h*j(v) - x(v). What is m(-2)?
3
Let a(j) be the second derivative of j**3/6 + 2*j**2 + 8*j. Determine a(-4).
0
Let k be 440/45 + 4/18. Suppose 3*q - 5*i + k = 0, -4*q - 6*i + 5*i - 21 = 0. Let u = 2 + q. Let y(r) = r + 3. Give y(u).
0
Let i(p) = -14*p + 1. Let y be 1*(2/4 + 7/14). Determine i(y).
-13
Suppose 3*b = 8 - 2. Suppose -y + 4*h + 1 = -17, -4*y = b*h. Let f(z) = -3*z + z - z**y + 0*z**2 + 1. Give f(-2).
1
Let y(b) be the third derivative of b**4/6 + 7*b**3/6 - 18*b**2. Let l(s) = s. Suppose 3*n + 2*n = -25. Let h(m) = n*l(m) + y(m). Determine h(5).
2
Suppose 5*w = o - 12, w + 3*o + 18 = -2*o. Let m(q) = 4 + 4*q**2 - 7 + 2*q + q**3 + 1. Determine m(w).
1
Let q(r) = r**3 - 5*r**2 - 3*r + 6. Let d be (-5)/6*-4*(-225)/(-125). What is q(d)?
24
Let o be (-1 - -3)*(-48)/(-32). Let l(y) = -y**3 + 3*y**2 + 5*y - 2. Calculate l(o).
13
Let l(i) be the second derivative of i**5/10 - i**4/3 + i**3/6 + i**2 - 13*i. What is l(2)?
4
Let l be (8/1)/(-3 - -4). Let v = l + 0. Suppose 0*w - v = 2*w. Let r(q) = q**2 + 5*q + 5. Calculate r(w).
1
Let u(y) = -6*y**2 - 16. Let h(m) = -m**2 - 3. Let t(q) = -11*h(q) + 2*u(q). Let g(x) = -7*x**2 - 7*x + 1. Let r(o) = -g(o) + 6*t(o). Give r(-6).
-1
Let r(i) = 15*i + 24. Let m(z) = 3*z + 5. Let d(k) = 24*m(k) - 5*r(k). Suppose s - 8*b + 18 = -3*b, 4*b = -s + 18. Calculate d(s).
-6
Suppose 0 = -5*u - 6 + 11. Let y(d) = -d**2 + d + 1. Calculate y(u).
1
Let y be ((-2)/1)/(4/(-14)). Let c(u) = -u**3 - 5*u**3 - 1 + y*u**3 - u - 4*u**2. Determine c(4).
-5
Let s(y) = -6*y + 34. Let h be s(6). Let w(k) = k - 2. Give w(h).
-4
Let t be 1*-3*(-2 - 3). Suppose -3*o - 2*o - t = 0. Let k(j) = j + 1. Calculate k(o).
-2
Suppose 0*h = -3*r - 5*h + 31, -4*r + 5*h = -18. Suppose 3 = -b + r. Let d(v) = -2*v**3 - b*v**2 + 0 + 2 + v**3. Determine d(-2).
-6
Let v(d) = -4*d - 2*d - 2*d + d**2 - 6 + 9. Calculate v(3).
-12
Suppose 0 = -5*a - 19 - 6. Let h(s) = -2*s - 7. What is h(a)?
3
Let c(u) = -u - 6. Suppose -3*h = -5*h + 10. Suppose 4*l = r - 23, h*r + 17 = l - 3*l. Determine c(l).
0
Let k(q) = 4*q**2 - 2*q + 1. Let s(n) be the third derivative of n**2 + 1/6*n**3 + 0*n - 1/60*n**5 - 1/24*n**4 + 0. Let p be s(0). Determine k(p).
3
Let l be (4/6)/((-2)/6). Let x be (l - (-6)/3)*-1. Let f(r) = -r**2 - r + 2. What is f(x)?
2
Suppose 0 = x, -5*n - 4*x - 8 = -18. Let t = -13 - -19. Let z(a) = -2*a**3 - 2 - t*a**3 + 9*a**3. Give z(n).
6
Let h(i) be the third derivative of 5*i**5/12 + 2*i**3/3 - 3*i**2. Let c(k) = -6*k**2 - 1. Let o(s) = -9*c(s) - 2*h(s). Give o(1).
5
Let b be 2/8 - 102/24. Let z be 2 - 2/b*-10. Let a(t) = -2*t - 4. Calculate a(z).
2
Let w(j) = 3*j + 3. Let u be ((-2)/(-6))/((-2)/(-12)). Suppose g - 2 = u*g. Give w(g).
-3
Let z(p) = -3*p - 4. Let l be -1 - -1 - 1 - 4. Let t(d) = d**3 - 6*d**2 - 8*d + 5. Let s be t(7). Let o = l - s. What is z(o)?
5
Let k(n) be the first derivative of -n**3/3 - 2*n**2 + 5*n + 1. Suppose -15*v = 12*v + 135. What is k(v)?
0
Suppose 2*d + 5 - 1 = 0. Let g(u) = -2*u - 2 - 3*u + 6*u. Calculate g(d).
-4
Let q(g) = -g + 1. Suppose 9 - 7 = 2*t. Determine q(t).
0
Let o(j) = -5*j**3 + 8*j**2 - 2*j - 14. Let k(h) = -2*h**3 + 3*h**2 - h - 5. Let l(m) = -8*k(m) + 3*o(m). Determine l(2).
10
Suppose 0 = 2*w - 0*w - 2. Let j(k) = -24*k + 45*k - 21*k + 5*k**3 + 1. Determine j(w).
6
Let y(r) = -r + 3. Let v(m) be the first derivative of m**3/3 + 2*m**2 + 4*m - 4. Let w be v(-3). Let z be (-10)/(2/(0 - w)). Give y(z).
-2
Suppose 0 = 2*x + x + 2*s - 3, -5*x - 11 = -2*s. Let t be 2 + (3 + x)*1. Let d(y) = -y**3 + 3*y**2 + 2*y + 1. What is d(t)?
-7
Let v be (7/(-3) - -2)*6. Let l = 5 + v. Let o(a) = l + 4 - a - 9. Determine o(5).
-7
Let o(v) be the second derivative of -v**3/6 + v**2/2 - 3*v. Suppose -3*d + 30 = -6. Suppose 0 = -k - 2*k - d. Calculate o(k).
5
Let p = -3 - -3. Suppose -u - u + 10 = p. Let b(f) = -f - 1. Let j(a) = 4*a + 13. Let y(s) = -5*b(s) - j(s). Determine y(u).
-3
Let p(t) be the third derivative of t**5/60 + 5*t**4/24 + 2*t**3/3 + 4*t**2. Calculate p(-5).
4
Let b(l) = 2*l**2 - l - 1. Let p be (-10)/45 - (-16)/(-9). Let z be b(p). Let f be (z/6)/(9/12). Let o(t) = -3*t**2 + t + 1. What is o(f)?
-9
Let c(j) = -4*j. Suppose u + 2*u - 18 = 0. Let t = u + -7. Determine c(t).
4
Let h be 2*-1 - -2 - 9. Let l = 7 + h. Let b = l + 5. Let g(p) = -2*p + 1. Determine g(b).
-5
Let g(s) be the first derivative of s**3/3 + 5*s**2/2 + 6*s - 1. Let a be ((-10)/6 - 0)*3. Calculate g(a).
6
Let s(n) = 6 - 4*n - 13*n**2 + 14*n**2 - n. Calculate s(6).
12
Let n(b) = -b**2 + b + 1. Let w be (1/(-3))/((-2 + 3)/3). What is n(w)?
-1
Let n(b) be the third derivative of b**4/8 + b**3/6 - 24*b**2. Give n(-3).
-8
Let k(i) be the second derivative of 3*i**3/2 - i**2 + 18*i. Give k(-2).
-20
Let f(n) be the first derivative of n**5/20 + n**4/4 - 7*n**3/6 - 5*n**2/2 + 5*n - 1. Let u(w) be the first derivative of f(w). Give u(-4).
7
Let z = 17 + -15. Let j(g) = g**2 + 0*g**2 + 0*g**z + 6*g. Let i(y) = y - 5. Let l be i(0). Determine j(l).
-5
Let b(f) = -f + 6. Let n(g) = -g. Let j(i) = -b(i) + 2*n(i). Give j(-6).
0
Let q(p) = 5*p - 2*p**3 - 5*p**3 - 2 + 6*p**3 - 3*p**2 - p. What is q(-4)?
-2
Let m(y) = y**3 + 2*y**2 + y - 7. Let w(p) = p**3 + 2*p**2 + p - 6. Let h(k) = 6*m(k) - 7*w(k). Give h(-2).
2
Let q(b) = -b**3 + 6*b**2 - 7*b - 1. Suppose 5*w = 4*o + 10, 0 - 10 = -2*o. Let h be (20/w)/(4/6). Determine q(h).
-11
Let n be 60/(-18)*(-6)/(-5). Let o(g) = g**2 + 4*g + 2. What is o(n)?
2
Let r(n) be the first derivative of -n**3/3 + 7*n**2/2 - 4*n + 34. Calculate r(5).
6
Suppose -2*s - 2*s = 4*n - 52, -2*s = -3*n - 6. Let y = -3 + s. Let c(j) = 3*j + y - 5 - 4*j - 3*j**2 - j. Determine c(-2).
-7
Let c be ((-21)/6)/((-1)/2). Suppose c = w + 2. Let d(n) be the first derivative of n**2/2 - 5*n + 2. Determine d(w).
0
Let m(f) = 5*f**2. Let b be m(-1). Let i(k) = -k**2 - 5*k - 1. Let g(a) = 2*a**2 + 10*a + 1. Let z(y) = b*i(y) + 2*g(y). Determine z(-4).
1
Let v(n) = -6*n**3 + 1 - 20*n + 15*n + 5*n. Calculate v(1).
-5
Suppose 0 = z + 2*z - 7*z. Let c(p) = -p**2 + 2. Calculate c(z).
2
Let u(a) = -a + 7. Let k be u(5). Suppose -6 = -k*y - 2. Let q(r) = r + r + y*r - 5*r + 5. What is q(5)?
0
Let x(r) = r - 2 + 3 + 0*r + 0*r. Let t(d) = d**3 + 4*d**2 - d + 2. Let p(s) = t(s) - 4*x(s). What is p(-5)?
-2
Let n(t) = t**2 + 8*t - 4. Let y(v) = -v + 10. Let q be y(6). Let s = q + -12. Determine n(s).
-4
Suppose -4*w - 1 = 3*p, 3 = -3*w - 0*w. Let h(x) = -1 - p + 5*x + 4 - x**3 - x**2 - x. Calculate h(-3).
8
Let b(j) = j**3 - 7*j**2 + 8*j - 4. Suppose 51 = 5*s - 9. Suppose z + a = 5, 5*z + s - 47 = 5*a. Give b(z).
8
Let s(l) = -l + 12. Let o be s(14). Let d(v) = 5*v - 1. Calculate d(o).
-11
Let o(m) = 2*m - 18. Let t be o(7). Let u be (3/4)/((-2)/(-8)). Let b(d) = -4 - u*d**2 + 2*d - 1 + d - d**3. Give b(t).
-1
Let t be 1*((-4)/(-1))/(7 - 9). Let b(w) = 2*w**3 - w**2 - 2*w. Determine b(t).
-16
Suppose -5*l + 2 = 4*v, -4*l + v + 2 = -8. Let n(p) = p**l + p**2 - p**2 + 1 - 6*p. Let c(b) = -3*b - 1. Let j be c(-2). Calculate n(j).
-4
Suppose -5*m + 3*b - 28 + 6 = 0, -b - 1 = 0. Let s(a) = a**2 - 1. Let d be s(-1). Let k(c) = c - 2 + 4 + d*c. Give k(m).
-3
Suppose 3*f + 0*f - 6 = 3*w, -3*w - 11 = -4*f. Let m(l) = l**3 - 5*l**2 + l + 5. Give m(f).
10
Let u(y) be the first derivative of y**6/120 - y**5/15 - y**4/4 - y**3/3 + 2*y**2 + 4. Let o(w) be the second derivative of u(w). Give o(5).
-7
Let i = 10 - 4. Let l(t) = t**3 - 6*t**2 - 2*t + 6. Determine l(i).
-6
Let j(w) be the first derivative of w**3/3 + 2*w**2 - 5*w - 16. What is j(-4)?
-5
Let y(c) = 44*c**2 + 11*c - 11. Let h(r) = 15*r**2 + 4*r - 4. Let o(v) = -11*h(v) + 4*y(v). Suppose 0 = 5*z + z - 24. Suppose -3 = z*b + 1. Determine o(b).
11
Let s be (-26)/(-5) + 2/(-10). Suppose 0 = s*n - 3*v + 5, 9 + 4 = -2*n - v. Let a be n/14 - 4/(-14). Let c(f) = f**3 - f**2 - 1. Calculate c(a).
-1
Let v(g) = -3 + 4*g**3 + 4*g - 5*g**3 - 6*g - 1 + 4*g**2. Determine v(3).
-1
Let y(r) = | {
"pile_set_name": "DM Mathematics"
} |
umber?
True
Is 925982429 composite?
True
Is 12050587 a composite number?
False
Is 234787711 a composite number?
False
Is 604585 a prime number?
False
Is 30827249 composite?
False
Is 20893817 a composite number?
True
Is 89491 prime?
True
Is 367670417 a prime number?
True
Is 5573849 composite?
False
Is 614267 a prime number?
True
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True
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False
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False
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False
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False
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True
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True
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False
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True
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False
Is 281657503 a prime number?
True
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True
Is 481663147 prime?
False
Is 10816121 a composite number?
True
Is 201066983 composite?
True
Is 4682903 a composite number?
False
Is 9595423 prime?
True
Is 24013091 a composite number?
False
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False
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False
Is 100048373 composite?
True
Is 509885 a composite number?
True
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False
Is 314265841 a prime number?
True
Is 1481 composite?
False
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True
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False
Is 29972389 a prime number?
True
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False
Is 44604167 a prime number?
True
Is 911503 a prime number?
True
Is 10745293 composite?
True
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False
Is 18995246 prime?
False
Is 6477011 a prime number?
True
Is 1641797 a composite number?
False
Is 452671 a prime number?
True
Is 39441 composite?
True
Is 7034593 a composite number?
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Is 26423819 prime?
True
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False
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True
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False
Is 6653 a prime number?
True
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True
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Is 275135533 a prime number?
True
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True
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Is 2343589 prime?
True
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Is 32434049 a prime number?
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True
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False
Is 10468643 a prime number?
False
Is 2857297 a prime number?
True
Is 366491 a composite number?
True
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True
Is 346739 prime?
True
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False
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False
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True
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False
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True
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True
Is 28820617 a composite number?
True
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False
Is 80330281 prime?
False
Is 210136741 a composite number?
False
Is 142638997 composite?
False
Is 90672971 prime?
True
Is 131365561 a composite number?
False
Is 1180369 a composite number?
False
Is 1661749 a composite number?
True
Is 20757907 prime?
True
Is 313612973 prime?
True
Is 107499029 a prime number?
False
Is 55554593 a prime number?
True
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False
Is 2597857 prime?
True
Is 118584181 composite?
False
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False
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False
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False
Is 50466529 prime?
True
Is 74131 prime?
True
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False
Is 86897207 a prime number?
True
Is 39125129 prime?
False
Is 368273 a prime number?
True
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Is 3169703 a prime number?
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Is 51481343 a composite number?
False
Is 408592697 prime?
True
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True
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True
Is 12490571 a prime number?
False
Is 20595349 a prime number?
True
Is 81777513 composite?
True
Is 2842937 composite?
False
Is 142079902 a composite number?
True
Is 7745701 a composite number?
False
Is 119882687 prime?
True
Is 44847787 composite?
False
Is 4179673 a composite number?
False
Is 54291163 prime?
True
Is 9696265 a prime number?
False
Is 11865289 composite?
False
Is 212609 a prime number?
False
Is 212171 a composite number?
True
Is 52754371 a prime number?
True
Is 23629343 a composite number?
False
Is 5169127 composite?
True
Is 20326559 a prime number?
False
Is 154354831 a composite number?
False
Is 60688547 a prime number?
False
Is 948167 a composite number?
True
Is 111232721 a prime number?
True
Is 136892411 a composite number?
True
Is 4779739 a composite number?
True
Is 2404151 prime?
True
Is 1567321 a prime number?
False
Is 5258441 composite?
True
Is 5850521 composite?
True
Is 681874807 composite?
False
Is 1390237 a prime number?
False
Is 70520987 prime?
True
Is 230858959 a composite number?
True
Is 1565867 prime?
True
Is 2253261 a prime number?
False
Is 219911 a composite number?
False
Is 37724369 composite?
False
Is 11976967 prime?
False
Is 11723273 composite?
True
Is 270952351 composite?
True
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False
Is 7167151 composite?
False
Is 5974249 prime?
True
Is 1262909 composite?
True
Is 8669159 prime?
True
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True
Is 21229865 prime?
False
Is 1678169 a prime number?
False
Is 5194829 a composite number?
True
Is 183037 prime?
True
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True
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False
Is 133030255 a composite number?
True
Is 12657283 composite?
False
Is 91588891 prime?
True
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True
Is 29835613 prime?
True
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True
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True
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False
Is 29260123 composite?
False
Is 39816557 composite?
True
Is 3031139 a composite number?
True
Is 22850411 prime?
True
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True
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False
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True
Is 22529399 a prime number?
False
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False
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False
Is 6848351 a composite number?
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True
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True
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True
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True
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True
Is 171802199 a prime number?
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True
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True
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True
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True
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True
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True
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False
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Is 5668919 a prime number?
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Is 108393973 prime?
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True
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Tru | {
"pile_set_name": "DM Mathematics"
} |
4*c**3. What is x(3)?
21
Suppose -2*l = 3*l. Suppose l = -5*x + 4*j - 16, -x = 4*j - 2 - 14. Let q(n) = 8 - 4*n**2 - 3*n**2 + 6*n**2 + n. Calculate q(x).
8
Let l(g) = -g**3 + 5*g**2 - 2*g - 3. Let v = 11 + -7. Suppose -3*y + 8 = -2*o, v*y - 3 = -3*o + 2. Let a = 2 + y. Give l(a).
5
Let a(c) = 5*c - 2 - 2*c - c. Let u be 14 + -2 - (-1)/1. Suppose -2*b + 2 - u = -3*z, 4*z - 10 = -2*b. Determine a(z).
4
Let l(p) = p**2 - 5*p - 7. Suppose 5*c - 23 = 4*d, 2*c + d - 17 = -0*d. Calculate l(c).
7
Let z be 3 + 4 + -7 - -21. Suppose 0*c - 3*c = -z. Let i(f) = f**3 - 7*f**2 - f + 6. Give i(c).
-1
Let x(l) be the first derivative of l**6/30 - l**5/60 - l**4/24 - l**2/2 - 2. Let a(q) be the second derivative of x(q). Let p = -7 + 6. Calculate a(p).
-4
Let f = -23 + 21. Let u(a) be the first derivative of a**4/12 + a**3/2 - a - 1. Let s(l) be the first derivative of u(l). Determine s(f).
-2
Let u = 0 + -1. Let b(j) be the second derivative of -1/5*j**5 - j + 1/2*j**2 + 0*j**3 - 1/12*j**4 + 0. Calculate b(u).
4
Let s(b) be the first derivative of 0*b**2 + 1/4*b**4 + 4 - 1/3*b**3 + 4*b. Determine s(0).
4
Let j(g) = -18 + g**2 - 33 + 6*g + 50. Suppose -3*h - 15 = 4*y, 12 + 3 = -3*h + 2*y. What is j(h)?
-6
Let d = 21 + -21. Let l(z) = -2*z + 2*z + 3 + 7 + z. Determine l(d).
10
Let l(p) = -1 + 4*p**2 + 1 + 0*p**2. Suppose -4*r - 11 = s - 6*s, 0 = -3*r - 12. What is l(s)?
4
Let u = -6 + -9. Let s(i) = -i**2 - 15*i + 1. Calculate s(u).
1
Let d(c) be the second derivative of -c**3/6 + c**2 - c. What is d(-7)?
9
Let z(v) = 4*v. Suppose -3 = 19*k - 18*k. Give z(k).
-12
Let m(q) = -5*q**3 + q**2 + q - 1. Let l be (1 + -2)/(1/(-1)). Give m(l).
-4
Let q = -25 + 29. Let f(c) = -c + 3. Give f(q).
-1
Let t(a) = 4*a**2 + 1. Let d be t(1). Let b = 2 - d. Let q(h) = h**2 + 2*h + 2. Let v be q(b). Let p(o) = -o + 11. Give p(v).
6
Suppose 4*i + 1 = -55. Let x = i + 13. Let n(y) be the second derivative of -9*y**5/20 + y**3/3 + y**2/2 - y. Give n(x).
8
Suppose -3*x = -0*x - 9. Let u(m) = m + 2 - x + 0. Calculate u(5).
4
Let b(t) = -3*t**3 - 5*t**2 - 2*t + 3. Let r(g) = -13*g**3 - 19*g**2 - 9*g + 12. Let q(w) = 9*b(w) - 2*r(w). Give q(-7).
3
Let n(m) = -1 + 143*m - 47*m - 42*m - 49*m + 2*m**2. What is n(-4)?
11
Let j be 4 + (-7 - 1 - -4). Let w = 6 + j. Let u(r) = -3*r + 9. Determine u(w).
-9
Let q be ((-5 + 2)*1)/((-21)/56). Let v(g) = -2*g - 7. Calculate v(q).
-23
Let v(o) be the third derivative of 0 + 0*o**4 + o**2 + 0*o + 4/3*o**3 - 1/60*o**5. Calculate v(0).
8
Let v(a) = -a - 15. Let d = -91 - -83. Calculate v(d).
-7
Let f(q) = 2*q**2 - 2*q. Let v(g) = -4*g - 8. Let u be v(6). Let a be 72/u + 2/8. What is f(a)?
12
Let a(y) = -4*y**3 - 7*y**2 + 4*y + 4. Let m(b) = -3*b**3 - 6*b**2 + 3*b + 3. Let s(i) = -4*a(i) + 5*m(i). What is s(2)?
-3
Let b(q) = -2*q**2 + 2*q**3 - 2 + 0*q + 2 - q. Determine b(2).
6
Suppose 0 = o - 4*o. Let h(a) = -2*a**3 - 2*a**2 + 15*a - 13. Let z(m) = m**3 + m**2 - 7*m + 7. Let j(u) = -6*h(u) - 13*z(u). Calculate j(o).
-13
Let l(k) = k**2 + 3*k. Let u be l(-5). Suppose -5*t = 10 + u. Let y(c) = -c - 8. What is y(t)?
-4
Let p be (-3 - 10/(-3))*15. Let d(s) = -s - 2. Let c(f) = f. Let u(o) = p*c(o) - d(o). Calculate u(-2).
-10
Let y(s) = -2*s**2 + 6*s - 2. Let h(t) = t**2 - 6*t + 1. Let i(u) = 3*h(u) + 2*y(u). Let m(v) = v + 1. Let d(a) = -i(a) - 3*m(a). Let o = -4 - -1. What is d(o)?
-2
Let y(o) = -o - 3 - o - o**2 + 2*o - 3*o. Let i(z) = -z**2 - z - 1. Let l(x) = -5*i(x) + 2*y(x). Determine l(-1).
3
Let x = 3 - 4. Let m(b) = b. Give m(x).
-1
Let z be 9/(-60)*(-50)/36. Let b(r) be the third derivative of -r**2 + 0*r + z*r**4 + 0 - 1/60*r**5 - 1/6*r**3. What is b(2)?
5
Let l(g) be the second derivative of -g**4/12 + g**3/6 + g**2 + 2*g. Let h(q) = q - 14. Let j be h(7). Let f = -3 - j. What is l(f)?
-10
Let h be (1/(-2))/(2/16). Let k(y) = 6*y**2 - 13*y - 3. Let n(a) = 5*a**2 - 12*a - 3. Let o(u) = 6*k(u) - 7*n(u). What is o(h)?
-5
Let o(q) = 4*q - 5*q - 12 + 0*q. Give o(0).
-12
Let o(i) = -2*i**3 + 3*i**2 - i. Suppose -3*d - 2*u = -25, 47 = 5*d - 3*u + u. Let r = d - 7. Determine o(r).
-6
Let k(a) = -a**2 - 14*a + 12. Let s(b) = b**2 + 13*b - 12. Let c(r) = 2*k(r) + 3*s(r). Calculate c(-11).
-12
Let m(s) = -s**3 + s. Let k(i) = -i**3 - 4*i**2 + i + 2. Let b be k(-3). Let q be 14/b + 4/10. Determine m(q).
0
Suppose -5*i + 3*x = -5, 6*i + 23 = 2*i - 3*x. Let h(j) = -2*j + 1. Let y(w) = -8*w + 4. Let n(d) = -5*h(d) + y(d). What is n(i)?
-5
Let z(u) be the first derivative of -u**3/3 - 7*u**2/2 - 9*u - 2. Let a = -49 - -43. What is z(a)?
-3
Let j(u) be the first derivative of 5*u**3/3 + u**2 + u + 26. Determine j(-1).
4
Let f be 84/(-10) + 18/45. Let n(p) = -p**2 - 7*p + 10. Let u be n(f). Let r(w) = 5*w + 2 + w**u - 2*w**2 + 4 + 0. Calculate r(5).
6
Let c(q) be the first derivative of -q**4/4 - 4*q**3/3 + q**2/2 + 2*q + 2. Let u(x) = -4*x + 4. Let b be u(2). Calculate c(b).
-2
Let w(c) = 4*c**3 + 5*c**2 - 4*c + 16. Let v(x) = x**3 + 2*x**2 - x + 5. Let h(j) = -7*v(j) + 2*w(j). Let y = 8 - 13. Let m be (-1)/(5/4)*y. Calculate h(m).
-7
Let m = -14 + 18. Let r(d) = 2*d - 6. Let h(b) = -3*b + 5. Let y(i) = m*h(i) + 5*r(i). What is y(-7)?
4
Let d(o) = -3*o**3 + 6*o**2 - 6*o - 4. Let s(g) = -4*g**3 + 6*g**2 - 7*g - 3. Let v = 3 - -1. Suppose -v*x + x = 9. Let p(h) = x*d(h) + 2*s(h). Calculate p(5).
1
Let r = -18 - -24. Let u(d) = -d + 2. Give u(r).
-4
Let i = -24 - -24. Let x(q) = q**3 + q**2 + i + 2 + 0 - 2*q - 1. Determine x(1).
1
Let s = -18 - -17. Let z(j) = -1 + 8*j**3 + j**2 + 2 - 2*j**2 + j. Give z(s).
-9
Suppose 0 = 5*s - 10. Suppose -2*v + s*g - 20 = -2*g, -4*v + 5 = g. Let x(q) = 4 - 4*q**2 + q**3 + v - 3 - 6*q. Give x(5).
-4
Let i(c) = 2 - c**3 + 11*c**3 - 3 + 2*c - 2*c**2. Let s be 2*(0 - -13) - 2. Let b = -23 + s. What is i(b)?
9
Suppose 0*a + 7 = a. Let j be 1/(-2) + a/(-14). Let s(z) = 12*z**2 + z. Calculate s(j).
11
Let q(s) = 2 + 0*s - 5*s - 9 + 4*s. What is q(-6)?
-1
Let x(l) be the third derivative of -l**5/60 - l**4/4 - l**3/2 + l**2. Let t be x(-5). Let d(i) = -3*i - 5*i**3 + 5*i**2 - 3*i**2 + i + 4*i**3. What is d(t)?
-4
Let m(b) = -b**3 + 5*b**2 - 6*b + 2. Suppose -20 = -s - 3*s. Suppose 4*v + s*y = 6, 3*v + 0*v = y + 14. Calculate m(v).
-6
Let x(f) be the first derivative of -2*f**2 - 3*f + 22. Suppose 3*i - n + 12 = -2*n, -5*i = 4*n + 27. Give x(i).
9
Let m(h) = h + 2. Let x be m(4). Let f(t) = -t + 5. What is f(x)?
-1
Let r(i) be the third derivative of i**6/120 - i**5/12 - 7*i**4/24 + 4*i**3/3 - i**2. Let f(h) = -h**2 + 4*h + 27. Let g be f(7). Give r(g).
2
Let f(y) = -y**3 - 6*y**2 - 7*y - 4. Suppose -4*g + 5*m - 1 = 0, -1 = -2*m + 9. Let u(d) = -1 + 11 - d - 9. Let n be u(g). What is f(n)?
6
Let z be 86/18 - (-10)/45. Suppose -7 = -4*g + 3*y + 6, 4*g = -3*y - z. Let x(r) = -5*r**3 - r**2 + r - 1. What is x(g)?
-6
Let a be (1 + 1)/2*-3. Let y(d) be the second derivative of -3*d - 1/6*d**4 + 0*d**2 - 1/20*d**5 + 2/3*d**3 + 0. What is y(a)?
-3
Let k(n) = -n**3 - 21. Let z(w) = w**3 - 10*w**2 + 10*w - 9. Let y be z(9). Calculate k(y).
-21
Suppose -2*s = 2*s - 20. Let q(l) be the first derivative of -2 - 3*l + 3*l**2 - 1/3*l**3. Give q(s).
2
Let p(c) = c - 5. Suppose -4*t - t = 3*j + 75, 4*t + 2*j + 62 = 0. Let v = t + 18. What is p(v)?
-5
Let g(k) = 2*k + 5. Let v(l) = l**2 + 3*l - 2. Let i be v(-2). Calculate g(i).
-3
Let y(l) = 2*l - 4. Suppose -2*d + 2*f = -0*d + 6, d + 11 = -f. Let g = -6 - d. Let i be (2/(-5))/(g/(-10)). Give y(i).
4
Let o(x) = x**2 - 14*x + 40. Let f be o(10). Let w(y) = -y. Give w(f).
0
Let q(n) be the first derivative of -n**4/4 - 2*n**3/3 - 4*n + 1. Let l be 68/(-20) + 8/20. Calculate q(l).
5
Let u(b) be the second derivative of b**3/6 + 3*b**2/2 - 2*b. Calculate u(-5).
-2
Let m(a) = a**2 - 2*a. Suppose 3*z + 10 = 1. What is m(z)?
15
Let x(u) = -6*u - 23 + 48 - 32 + 7*u. What is x(8)?
1
Let u(p) = -2*p**2 - 5 - 3*p + 0*p**3 + 7*p**2 - p**3 + 3. What is u(4)?
2
Let p(j) be the third derivative of j**5/60 - j**4/6 - 7*j**3/6 - 4*j**2. Give p(6).
5
Let b(x) = -x - 5. Let g be (-11)/(-4) + 1/4. Suppose g*k = -3*d + 3, 0 = 2*k - 3*k - 3*d - 5. Determine b(k).
-9
Let g(a) = -a**2 + a + 1. Suppose 4*u = 3*u + 3, -3*l = -4*u + 21. Give g(l).
-11
Let b = 4 - 7. Let d be ((-1)/(b + 2))/1. Let l = 0 + d. Let n(o) = 3*o | {
"pile_set_name": "DM Mathematics"
} |
v be a(-9). What is the nearest to -1/5 in 0.4, 55/2, -0.2, v?
-0.2
Let c = -2 - 0. Let s = 109 + -109.102. Let f = s - -0.142. What is the closest to c in f, -0.5, -0.3?
-0.5
Let m = -722939 - -305080043/422. Let r = 2/211 + m. Which is the closest to r? (a) 17 (b) 4 (c) 5
b
Let c(l) = -5*l**2 + 111*l - 21. Let v be c(22). What is the closest to -1/3 in -0.5, 26, v?
-0.5
Let s be (-7)/(7/(-4)) + 63. Suppose -s - 125 = 8*k. Let x be ((-1)/(-8))/(8/k). What is the nearest to -1/3 in -0.5, 4, x?
x
Let k be -1 + (-12)/(-3) + -12. Let q be 21/(-14)*(-12)/k. Suppose l + 0*l - 4 = 0. Which is the nearest to q? (a) 4/3 (b) 2/3 (c) l
b
Let m = -247 + 246.849. Let o = m - -0.151. What is the closest to 2/9 in o, -3, 2?
o
Let i = 9.21545 - 9.31545. Let b be (4/15)/((-12)/10). Let w = -17 + 33/2. What is the nearest to i in b, 1/9, w?
b
Let h = -167 + 166. Which is the nearest to -1? (a) h (b) 3.6 (c) 0 (d) -13
a
Let h = 8082.96 + -8083. What is the nearest to -0.47 in 0, -3/4, h?
-3/4
Let m be 1/(-1) + (-363)/(-12). Let j = m + -29. Let i = -0.6536 + 0.7536. What is the nearest to j in -3, i, 3?
i
Let p = -401 + 3607/9. Let z = 16 + -10. Let u be (-12)/80*z/(-9). Which is the nearest to p? (a) 0.4 (b) -1/5 (c) u
b
Let j = 2/19089 - -38168/95445. Which is the closest to -1/9? (a) 219 (b) j (c) -4
b
Let y = -3.8 + 2.8. Let l = 0.406 + -0.706. Which is the closest to y? (a) 12 (b) 0.5 (c) l
c
Let d = 0.3 + 0.7. Suppose 3072 - 157 + 385 = -75*f. What is the nearest to d in f, -3/5, -5?
-3/5
Let o(z) = 41310*z - 82624. Let m be o(2). Let t be (-1)/(-2) + (-2)/6. What is the closest to -5/4 in 0.4, t, -2/3, m?
-2/3
Let u = 2.35 - 2.45. Which is the closest to u? (a) 3/2 (b) -3 (c) 0.52
c
Suppose -204*r + 213*r + 36 = 0. Which is the closest to -1/6? (a) 2/385 (b) 3 (c) r
a
Let h be (-9)/15*(-90)/216. Which is the closest to -1/2? (a) h (b) 0.49 (c) 12
a
Let j = -41/116 - -3/29. Let x = 2.496 + -3.5375. Let y = x + 0.0415. Which is the closest to y? (a) j (b) -2/9 (c) -11
a
Let l = -6.7 + 6. Let q = -0.8 - l. Let c = 36.4 + -41.4. What is the nearest to q in c, 0, -10?
0
Let d = -1157.1 - -1157.2. What is the closest to 3 in 5, d, -62, 4?
4
Let i be ((-14)/28)/(6/(-3) - -3). Let f be (3 - 13/4)/(-1). Which is the nearest to f? (a) i (b) 0 (c) 2/5
c
Let i = -0.8 - -0.7. Let k be 14/(-161) + 132/(-69). Let q be (-8 - -4)*3/108*k. Which is the closest to 1/2? (a) q (b) -9 (c) i
a
Let p = -621/3005 + 4/601. What is the nearest to p in -1/7, 1/4, 63, -1?
-1/7
Let x = -21.117 + 1.117. What is the closest to -1 in -1, x, -3?
-1
Let y = 13 + 3. Let j = 10.252 - -0.748. Let s = j - y. What is the closest to -2/3 in s, 18, -1?
-1
Let d = -37 - 461. Let f = 493 + d. Which is the nearest to -0.9? (a) -1 (b) 1 (c) f
a
Let k = -23.3 + 23.39. Which is the nearest to 7? (a) 0.1 (b) 0.4 (c) k
b
Let w = 16/11 + -53/44. Let t = -16 + 13. Which is the nearest to 2/19? (a) w (b) -0.3 (c) t
a
Let q = -10843 + 130115/12. What is the nearest to 2 in q, -5/2, -119?
q
Let y be ((-5)/((-25)/4))/((-1260)/(-150)). Let o = -98 + 103. What is the nearest to -1 in -1/5, y, o?
-1/5
Suppose 5*f - 76 = -14*f. Let u = 45 + -47.3. Let y = 1.3 + u. What is the nearest to 1/5 in y, -0.4, f?
-0.4
Let x(m) = 245*m - 3427. Let l be x(14). What is the nearest to l in -1, -8, -3, 1/7?
1/7
Let x = -0.57 + -0.43. Let f = -0.06 + -2.94. Let m = -2536 - -17754/7. Which is the closest to f? (a) m (b) x (c) 1
b
Suppose -2*l = 5*y - 40, -65 = -5*l - 11*y + 16*y. Suppose -6*k - 5 = -r - 3*k, 3*r = -k + l. What is the closest to 5 in -3, 0.4, r?
r
Let x = -41 + 50. Let y = -11377/6 + 1896. What is the nearest to x in -2/7, -5, y?
y
Let r = -0.1 - -0.2. Let v = 0.232224 + 2.767776. Let h = 1.97 - -0.03. Which is the nearest to r? (a) v (b) -2 (c) h
c
Let i = -209.04 - -209. Let t be ((-24)/(-18))/(-2*3). Let k = -1.1 + 0.7. Which is the nearest to i? (a) 0.1 (b) k (c) t
a
Suppose 211*w + 151*w - 175 = 1273. Let a be 2/3 + -1 - 0. What is the closest to 0 in a, w, 1, 0?
0
Let n = -11532 - -11532. Which is the nearest to n? (a) -1 (b) -5 (c) 16 (d) 2/15
d
Let m = -1589 - -1588.5. Which is the nearest to 2? (a) 1/4 (b) 2.6 (c) 2/7 (d) m
b
Let o = 2542/19 - 10149/76. What is the nearest to -0.2 in -2, -5, o, 2?
o
Suppose 35 = 163*r - 168*r, -3*r = -3*p + 9. Which is the closest to 0.1? (a) 1 (b) p (c) -2/5 (d) 16
c
Let v = -19587.14 + 19587. What is the closest to -2 in -0.2, 1, v, 2?
-0.2
Let d = 4811.08 + -4811. Which is the nearest to d? (a) -2/9 (b) -2 (c) 2
a
Let w = -0.45804 + -0.04196. Let r = -58 - -59. Which is the nearest to 0.2? (a) w (b) 1/4 (c) r (d) -0.1
b
Suppose 0*i = 3*i - 15. Let x = 72.9 - 10.9. Let l = 62.4 - x. Which is the nearest to l? (a) 1/5 (b) i (c) 0.5
c
Let m = 0.06 + -0.26. Let j(i) = i**2 + i + 1. Let w be j(0). Let d = -4132/13 + 318. Which is the nearest to w? (a) d (b) m (c) -2
a
Let t = -0.2312 - -0.5312. Let b = -6 - -5. What is the nearest to 1 in -2/7, b, t?
t
Let r = 28.7 + -29.105. Let k = -0.305 - r. Which is the closest to 12? (a) 0.3 (b) k (c) 1/6
a
Let o = -1.053 + 1.553. Which is the closest to o? (a) 0 (b) -110 (c) 2/17
c
Suppose -5*h - 5*n = -40, -4*n + 8 = -4*h - 0*n. Suppose 0 = 5*b - 3*t, -b - t = h*t. Let j = -3.5546 + -1.4454. What is the closest to b in -3, -1/5, j?
-1/5
Let f(g) = g**3 - 8*g**2 - 24*g + 39. Suppose 11*l = 4*l + 70. Let w be f(l). Which is the nearest to -3/8? (a) 2/7 (b) w (c) 2
b
Let r = -619 - -619.4. Which is the nearest to 1/34? (a) 3/2 (b) r (c) 1/6 (d) 2/77
d
Let g be (-4)/(-54) + (-735)/2268. Let o(l) = -l + 25. Let z be o(11). Let w be ((-10)/4)/(21/z). Which is the closest to g? (a) 0.5 (b) w (c) -3/8
c
Let t = -25763 + 25762.6. Which is the nearest to 0? (a) -9/5 (b) -1 (c) -5 (d) t
d
Let u = -13508 - -13508.3. Let x be -1 + 2 + 2/(-4). What is the closest to x in 1/8, u, -1?
u
Let l be (-106)/72*-4 + 5/45. What is the closest to -2/3 in l, -1/8, 0.4?
-1/8
Let u = -6 + -55. Let k = u + 59. What is the nearest to -27 in 0.4, k, -4?
-4
Let r = -99948 + 99947. Suppose 0 = y - 3*y - 10. Let a = -0.1 - 3.9. What is the closest to -2/3 in a, y, r?
r
Let d = 31245 - 31244.6. Let m = 1.4 + -0.4. Let v = m + -0.8. What is the closest to 1 in v, d, 6?
d
Let z be 140/105*((-17)/10 + 1/5). Which is the closest to -3? (a) z (b) -62 (c) -1/3
a
Let m = -18 - -9. Let q = -0.71 - 8.49. Let l = q - m. What is the nearest to -2/3 in 1/2, 4, l?
l
Let a(j) = -j**3 + 26*j**2 - 25*j - 8. Let o be a(25). Let z be o + -1 + (-20)/(-4). What is the closest to -2/3 in -3/2, z, 1?
-3/2
Let h = 64538.0483 - 64547. Let t = 0.0483 - h. What is the nearest to 0.1 in 2, -3/8, t?
-3/8
Let w(g) = 92*g + 921. Let b be w(-10). What is the nearest to b in 9, -3, 0.5, -3/11?
0.5
Let p be 6/28*(-594)/(-891). Which is the closest to -3/10? (a) 8 (b) 3 (c) p (d) 0.1
d
Let v = 3406 - 64712/19. Which is the closest to 7? (a) v (b) -1/3 (c) 0.049
a
Let y be -1*(-15 + (-58)/(-4)). Which is the nearest to -2/7? (a) 4 (b) -2.2 (c) 2 (d) y
d
Let n = -282 - -309. Suppose -13 = n*v - 14*v. Which is the closest to v? (a) -1/5 (b) 0.3 (c) -4 (d) -7/5
d
Let v = -17 + 16. Let g be 910/(-5) + (9/(-1))/(-3). Let l = 176 + g. Which is the closest to v? (a) 0 (b) -1/3 (c) l
b
Let v = -41.84 + -1. Let l = v - -42.8. Which is the closest to -2? (a) 2 (b) 4 (c) l
c
Let z = -2757 - -2763. Which is the closest to 46? (a) z (b) 0.5 (c) 5 (d) -0.2
a
Let z be (448/(-40) + 12)*(-2)/(-4). Which is the nearest to -6? (a) z (b) 22 (c) -2/9
c
Let v = 209.17 - 209. What is the nearest to -3 in v, -12, 3?
v
Let z = -28.17 - -31.17. Let b = 0 - 0. Let o = 0.995 + 0.005. What is the nearest to b in o, z, -0.3?
-0.3
Let d = 4466 - 4519. What is the nearest to d in 0.04, 0.4, -3?
-3
Let f = -0.11 + 0.09. Let a = 122.4 - 121.9. What is the nearest to f in -0.2, a, 0.4?
-0.2
Let p = -334/2079 - 4/189. Which is the nearest to 1? (a) p (b) 10/9 (c) 0.2 (d) 2/11
b
Let q = -1529 + 1517. What is the closest to -1 in 4, q, 3/4, -0.5?
-0.5
Let y = -10291.5 - -10291. Let l = 2.4 - -0.6. Let p = l + -3.2. Which is the nearest to p? (a) 3 (b) y (c) -5
b
Let c(y) = y**3 + 7*y**2 - 2. Le | {
"pile_set_name": "DM Mathematics"
} |
tonne in kilograms?
3300
What is 1/6 of a decade in months?
20
What is one quarter of a litre in millilitres?
250
What is 0.6923044 hours in nanoseconds?
2492295840000
How many grams are there in 3/10 of a kilogram?
300
How many months are there in thirty-two fifths of a millennium?
76800
What is 2182.968 minutes in hours?
36.3828
How many decades are there in twenty-nine halves of a century?
145
What is 5/4 of a millimeter in micrometers?
1250
How many seconds are there in fourty-eight fifths of a hour?
34560
How many centuries are there in one tenth of a millennium?
1
How many decades are there in 3.167721 months?
0.026397675
How many milligrams are there in fourty-six fifths of a gram?
9200
What is 11/10 of a meter in millimeters?
1100
Convert 4.746665t to grams.
4746665
What is 4/15 of a millennium in months?
3200
What is 3/25 of a kilogram in grams?
120
What is one twentieth of a kilogram in grams?
50
Convert 161.0754 decades to millennia.
1.610754
What is 97.8409 nanometers in micrometers?
0.0978409
How many millilitres are there in 21/4 of a litre?
5250
What is 3/50 of a milligram in nanograms?
60000
How many months are there in 34/5 of a century?
8160
What is 5.320208 decades in years?
53.20208
How many months are there in twenty-one halves of a year?
126
What is five eighths of a gram in milligrams?
625
Convert 34.86187 milliseconds to seconds.
0.03486187
What is 0.2458337 decades in years?
2.458337
What is 92633.34l in millilitres?
92633340
How many minutes are there in 55/2 of a day?
39600
How many kilometers are there in 527.1358 centimeters?
0.005271358
Convert 398746.4um to meters.
0.3987464
How many litres are there in 0.8601928ml?
0.0008601928
How many months are there in 92.14262 centuries?
110571.144
How many minutes are there in nine tenths of a week?
9072
How many months are there in 7/3 of a decade?
280
What is 5.08337 millimeters in kilometers?
0.00000508337
How many decades are there in seventy-five halves of a millennium?
3750
How many tonnes are there in 3.115665ng?
0.000000000000003115665
What is 8256.4641 seconds in hours?
2.29346225
How many millilitres are there in 245960.5l?
245960500
What is twenty-one eighths of a micrometer in nanometers?
2625
How many milligrams are there in 1/16 of a kilogram?
62500
What is twenty-six fifths of a week in minutes?
52416
How many months are there in twenty-six fifths of a century?
6240
How many years are there in 1/5 of a decade?
2
What is fourty-five halves of a decade in months?
2700
How many tonnes are there in 99.79542mg?
0.00000009979542
How many meters are there in 75.8458 centimeters?
0.758458
What is 42387.05 millimeters in nanometers?
42387050000
How many litres are there in 0.2900306ml?
0.0002900306
How many micrometers are there in five eighths of a millimeter?
625
Convert 36772.83 years to millennia.
36.77283
What is 48/5 of a millennium in centuries?
96
What is 3/10 of a centimeter in millimeters?
3
Convert 716.1724 millilitres to litres.
0.7161724
How many millilitres are there in 3/25 of a litre?
120
How many litres are there in 738570.7 millilitres?
738.5707
How many meters are there in 1/20 of a kilometer?
50
What is 61.92474 kilograms in nanograms?
61924740000000
What is eleven tenths of a centimeter in millimeters?
11
How many decades are there in 710186.9 millennia?
71018690
How many nanometers are there in 0.597493cm?
5974930
Convert 603.041 years to months.
7236.492
What is 294669.7 millimeters in kilometers?
0.2946697
How many minutes are there in 6.857056 days?
9874.16064
How many tonnes are there in 750.7339mg?
0.0000007507339
What is 499364.9 grams in nanograms?
499364900000000
What is 7.177505ml in litres?
0.007177505
How many years are there in 562265.2 millennia?
562265200
How many micrometers are there in one twentieth of a meter?
50000
How many centimeters are there in 49476.19 meters?
4947619
Convert 264.8051 kilometers to centimeters.
26480510
How many months are there in 78.42781 years?
941.13372
How many millennia are there in 29084.445 months?
2.42370375
What is 1016.616cm in meters?
10.16616
Convert 98.49796ml to litres.
0.09849796
How many micrograms are there in 3/40 of a milligram?
75
How many months are there in one fifth of a decade?
24
How many milliseconds are there in 0.0695482 hours?
250373.52
What is 7.781885 litres in millilitres?
7781.885
What is 960.6798ms in seconds?
0.9606798
How many seconds are there in 138363.3 hours?
498107880
Convert 85128.37 litres to millilitres.
85128370
How many minutes are there in ten sevenths of a week?
14400
How many litres are there in 3.38393 millilitres?
0.00338393
What is twenty-one quarters of a second in milliseconds?
5250
How many grams are there in 77/2 of a kilogram?
38500
What is 27/5 of a centimeter in micrometers?
54000
Convert 36482.95cm to nanometers.
364829500000
How many minutes are there in ten thirds of a day?
4800
How many micrometers are there in 2.012259 kilometers?
2012259000
Convert 995534.9 weeks to minutes.
10034991792
How many hours are there in 166347.72 minutes?
2772.462
Convert 4.04353l to millilitres.
4043.53
What is 25/2 of a meter in centimeters?
1250
What is 700205.5 kilometers in micrometers?
700205500000000
How many millimeters are there in one tenth of a centimeter?
1
Convert 822525.8 weeks to nanoseconds.
497463603840000000000
What is 4/3 of a year in months?
16
What is thirteen quarters of a kilometer in meters?
3250
How many millilitres are there in 6/5 of a litre?
1200
What is 0.1070607 kilometers in micrometers?
107060700
How many millimeters are there in one twentieth of a kilometer?
50000
How many millilitres are there in 2338.67 litres?
2338670
How many grams are there in one sixteenth of a tonne?
62500
What is 264351.1 days in nanoseconds?
22839935040000000000
How many litres are there in 1883.623 millilitres?
1.883623
How many litres are there in 91.84472ml?
0.09184472
What is thirty-three fifths of a millennium in centuries?
66
What is 1/20 of a milligram in micrograms?
50
Convert 9412.211 micrograms to kilograms.
0.000009412211
What is 8824.616 centuries in decades?
88246.16
Convert 23870.3 nanometers to meters.
0.0000238703
How many years are there in 96.35859 millennia?
96358.59
Convert 102.219ml to litres.
0.102219
What is thirty-seven fifths of a litre in millilitres?
7400
Convert 449.8441l to millilitres.
449844.1
How many nanoseconds are there in 849414.1 days?
73389378240000000000
Convert 9414.339nm to meters.
0.000009414339
Convert 52271.88ml to litres.
52.27188
What is 769406.1 meters in nanometers?
769406100000000
How many litres are there in 0.0032723ml?
0.0000032723
What is 11.971935 months in years?
0.99766125
What is 33/5 of a millennium in months?
79200
What is 43317.95l in millilitres?
43317950
How many months are there in twenty-nine thirds of a decade?
1160
Convert 12845.2 seconds to nanoseconds.
12845200000000
How many micrograms are there in eleven halves of a milligram?
5500
What is 74648.42ml in litres?
74.64842
What is one tenth of a tonne in grams?
100000
What is eleven halves of a hour in minutes?
330
Convert 78.22764m to centimeters.
7822.764
How many kilograms are there in 21/4 of a tonne?
5250
How many millilitres are there in five eighths of a litre?
625
How many millilitres are there in one twentieth of a litre?
50
What is 236761.7 years in millennia?
236.7617
Convert 0.5158882 microseconds to milliseconds.
0.0005158882
What is 31054.8 litres in millilitres?
31054800
What is seventy-seven thirds of a century in months?
30800
Convert 0.1257754 millilitres to litres.
0.0001257754
How many millilitres are there in 6/25 of a litre?
240
What is 283371.72 months in centuries?
236.1431
Convert 0.6627411 millilitres to litres.
0.0006627411
How many decades are there in three fifths of a millennium?
60
How many litres are there in 91.22975ml?
0.09122975
How many nanograms are there in 21/8 of a microgram?
2625
What is 70694.3 weeks in microseconds?
42755912640000000
Convert 439236.6ml to litres.
439.2366
What is 46/5 of a meter in millimeters?
9200
What is 3/5 of a meter in centimeters?
60
How many nanoseconds are there in 444.5756 hours?
1600472160000000
What is 3/25 of a kilogram in grams?
120
How many millimeters are ther | {
"pile_set_name": "DM Mathematics"
} |
t d be y(16). Suppose -k = 2*k - 81. What is the remainder when k is divided by (d - 0)/((-6)/4)?
7
Let z be (-45)/10*(-4)/(-6). Let m(f) = -f. What is the remainder when m(z) is divided by 2/8 - (-3)/4?
0
Suppose 9*b - 176 = b. Calculate the remainder when 109 is divided by b.
21
Suppose 0*w - w + 17 = 0. Suppose 0*r + 5*r = -5*y + 45, -r + 21 = 5*y. Calculate the remainder when w is divided by r.
5
Let q be (-1)/(2/11 + 45/55). What is the remainder when 89 is divided by q/18*-3 + 53/6?
8
Let q(j) = -j**2 - 4*j + 1. Let r be q(-4). Let c be r + -1 + 8*-8. Let u = -36 - c. What is the remainder when u is divided by 10?
8
Let b = 813 - 504. What is the remainder when b is divided by 35?
29
Let b(s) = -s**2 + 7*s + 7. Let f be b(5). Suppose -f = -c - 7. Calculate the remainder when c is divided by (4/((-16)/3))/(5/(-40)).
4
Let i(a) = -a**2 - 50*a - 323. What is the remainder when 817 is divided by i(-42)?
11
Calculate the remainder when 555 is divided by (-219)/(-6) + (-147)/(-42).
35
Suppose -2*h = 3*h + l - 110, -3*l = -3*h + 84. Suppose 0 = 5*u + d - 2*d - 215, 15 = 3*d. Calculate the remainder when u is divided by h.
21
Let v = -84 - -106. Suppose 5*j = 72 - v. Calculate the remainder when 26 is divided by j.
6
Suppose 13*z - 17*z = -156. Suppose 2*m + 16 = -0*m. Let s(t) = t + 15. Calculate the remainder when z is divided by s(m).
4
Suppose 2*t + 2*t - 28 = -4*i, 2*t + 16 = i. Suppose 0 = -16*p + i*p + 72. Calculate the remainder when 31 is divided by p.
7
Let z(v) = 99*v + 76. Calculate the remainder when z(1) is divided by 48.
31
Let u = -76 + 112. What is the remainder when 140 is divided by u?
32
Let w = 201 + -141. Suppose -y = 5*v - w, 4*y - 120 = v + 57. Let r = y + -31. Calculate the remainder when r is divided by 5.
4
Suppose -5*k - 4*i = -130, 0 = -3*k - 2*i + 65 + 11. What is the remainder when k is divided by 10?
2
Suppose 30*i = i + 2726. What is the remainder when 296 is divided by i?
14
Suppose 0 = -3*h - 18 + 39. Let z(b) = 2*b**3 + 3*b**2 - 2*b + 1. What is the remainder when z(2) is divided by h?
4
Let j(k) = k**3 + 6*k**2 + 2*k + 7. Let p be j(-5). Suppose 2*y - p = -2. What is the remainder when 39 is divided by y?
9
Let y(o) = o + 10. Let g = 48 + -44. What is the remainder when ((-32)/(-12))/(g/6) is divided by y(-7)?
1
Let l(h) = h**3 - 9*h**2 + 21*h + 5. What is the remainder when 97 is divided by l(5)?
7
What is the remainder when -1*1 + (1 - -121) is divided by (-1)/2*(192 + -254)?
28
Suppose 0 = 212*j - 205*j - 140. Calculate the remainder when 397 is divided by j.
17
Suppose 0 = -3*m - 2*m + 2*r + 65, 4*m - 52 = 3*r. Let w(y) = y**2 - 1. Let g be w(-2). Calculate the remainder when (-15)/(g/30*-3) is divided by m.
11
Let l(s) = -s**2 - 13*s - 16. Let k(m) = -12*m**2 + 1. Let n be k(-1). Let b be l(n). Suppose b = d - 3. Calculate the remainder when d is divided by 5.
4
What is the remainder when (-8)/5*(-85)/2 is divided by (-43)/(215/(-50)) - -2?
8
What is the remainder when 63 is divided by -3 - (-72 + -8)/5?
11
Let c = 1986 - 1951. Calculate the remainder when (1 + 0)*(0 + 103) is divided by c.
33
Let f = 1121 + -160. What is the remainder when f is divided by 74?
73
Let f be (4/(-4))/((-3)/(-18)). Calculate the remainder when (-4)/8*(0 - 30) is divided by (f/(-4))/((-24)/(-64)).
3
Suppose 2*x - 7*x - 45 = 0. Let n(b) = b**3 + 9*b**2 - b + 12. Suppose 3*p = 53 + 193. What is the remainder when p is divided by n(x)?
19
Suppose -10*r + 10506 = 41*r. What is the remainder when r is divided by 96?
14
Let i(r) = 2*r + 2. Let a be i(0). Let m(y) = -2*y + 2*y - 4*y - a + 3*y. What is the remainder when 22 is divided by m(-7)?
2
Suppose -3*t - f = 2*f, -5*t + 4*f + 36 = 0. Suppose 3*j + 4*o - 22 = j, t*o + 97 = 5*j. What is the remainder when 67 is divided by j?
16
Let q(p) = 2*p**2 - 5*p + 6. Let n be q(3). Let f = 11 - n. Suppose 0*s + f*s - 10 = 0. What is the remainder when 9 is divided by s?
4
Suppose 3*o + 271 = 4*x, 0 = 3*x - 2*o + 54 - 256. Calculate the remainder when x is divided by 26.
12
Let d(w) = -2*w + 30. Let v be -3 + 6 - 9/3. Let j be d(v). Calculate the remainder when 27 is divided by ((-2)/6)/((-1)/j).
7
Let f(l) = -l**2 - 10*l. Let w be f(-6). Let z = w + -21. What is the remainder when z is divided by 2?
1
Calculate the remainder when 147 is divided by (-12)/9*(-36)/8*3.
3
Suppose -8*w = -23*w + 105. Calculate the remainder when 9 is divided by w.
2
Let d = -7 + 14. Let x be (30 - d) + 4 + -1. Suppose -134 + x = -4*k. Calculate the remainder when k is divided by 15.
12
Suppose 4*c = 3*u - 11, 3*c = -5*u + 6*c + 22. What is the remainder when 64 is divided by (u + -3)*(21/2 + -4)?
12
Suppose 0 = t - 2*m - 114, -4*m = 5*t - 7*m - 535. Suppose -r + 9*r - t = 0. What is the remainder when 218 is divided by r?
10
Suppose 0 = -2*r + 3*r + 2*c - 9, -5*c = -4*r + 23. Calculate the remainder when 39 is divided by r.
4
Let c(n) = -n**2 - n + 1 + 7*n**2 - n**2 + 4*n**2. Suppose 0*x = -2*x + 2. Calculate the remainder when 52 is divided by c(x).
7
What is the remainder when (-1)/(1 + 1300/(-1296)) is divided by 11?
5
Let x(v) = v**3 - 8*v**2 + 5*v + 5. What is the remainder when x(8) is divided by 36?
9
Suppose a - 423 = -8*a. Calculate the remainder when a is divided by 27.
20
Let z = -230 - -354. Let a = -111 + z. Calculate the remainder when 22 is divided by a.
9
Let t = 9 - 6. Suppose u + t*g - 42 = 0, 2*u + 4*g + 10 - 104 = 0. What is the remainder when u is divided by 15?
12
Let v = -21 + 23. Suppose -v*b = -10, -2*b = 4*m + 2*b + 68. Let y = -12 - m. Calculate the remainder when 35 is divided by y.
5
Let i = 20 + -1. Let o = i - 18. Suppose 3*v - 38 - o = 0. What is the remainder when v is divided by 5?
3
Suppose 0 = 2*k + 2*k - 3*m + 6, -k - m + 2 = 0. Suppose -v + 3 = -k. What is the remainder when 14/21 + 94/v is divided by 11?
10
Let f be -2 + 1*(-6)/2. Let d be (f/(-2))/(10/20). Suppose 3*w - 8*a + 3*a = 184, -d*w + 245 = 4*a. Calculate the remainder when w is divided by 14.
11
Suppose -9*t + 6*t - 5*w = -234, 0 = t + 5*w - 88. What is the remainder when t is divided by 40?
33
Suppose 25*r - 1565 + 365 = 0. Calculate the remainder when 239 is divided by r.
47
Suppose 23*w + 24*w = 1081. What is the remainder when 413 is divided by w?
22
What is the remainder when 29 is divided by (-18)/12 - ((-66)/4 + -2)?
12
Let p(x) = x**2 - 6*x + 1. Let l be p(6). What is the remainder when (-1)/4 - 122/(-8) is divided by -7 - -4 - (-11*l - -2)?
3
Let j be (3 + 0)/((-7)/(28/6)). Calculate the remainder when ((225/(-20))/(-15))/(j/(-72)) is divided by 8.
3
Let x(u) = u**3 - u - 1. Let s = 18 - 3. Suppose s = -g + 6*g. Calculate the remainder when 44 is divided by x(g).
21
Suppose 4*k - 2634 = 7*k. Calculate the remainder when k/(-18) + -10*(-5)/225 is divided by 5.
4
Let s = -1330 - -1475. Calculate the remainder when s is divided by 48.
1
Suppose 3*g + 88 = g. Let d = -36 - g. What is the remainder when 15 is divided by d?
7
Let v = -1 - -1. Suppose v = -3*r + 8*r - w - 116, -r - w = -28. Suppose -87*d + 93*d = 420. What is the remainder when d is divided by r?
22
Let a(n) = -n**3 - n + 2. Let d be a(0). Suppose -4*y = -d*y - 124. What is the remainder when y is divided by 16?
14
Let d(s) = 435*s + 2627. Let x(p) = -p - 2. Let v be x(-6). Let q(u) = -u**3 + 4*u**2 + 2*u + 2. Calculate the remainder when d(-6) is divided by q(v).
7
Let w be (32/10)/(7/(-35)). Let g = 26 + w. Let b(s) = -6*s. What is the remainder when b(-3) is divided by g?
8
Suppose 8 = -5*f - 4*a + 66, -f = -2*a - 6. Suppose -16*y + 2*y = -1358. What is the remainder when y is divided by f?
7
Let o(i) = 13*i**3 + 3*i - 2. Suppose n + w = 22, w + 12 = 4*n - 86. Calculate the remainder when n is divided by o(1).
10
Suppose 6*v = 5*v - 2*c + 1381, -5*c + 6925 = 5*v. What is the remainder when v is divided by 58?
55
Suppose 5*c - 705 = 5*k, c - 3*k = -0*k + 145. Let p = -409 + 437. What is the remainder when c is divided by p?
27
Let s(w) = 8*w - 57. Suppose 2*b - 2*q - 20 = 12, b - 5*q - 20 = 0. Calculate the remainder when s(b) is divided by 22.
19
Let g = -18 + 23. What is the remainder when (429/44)/((-6)/(-16)) is divided by g?
1
Let z = 11 + -5. Calculate the remainder when z/33 + 4 + (-3956)/(-22) is divided by 37.
36
Let d be (-3)/ | {
"pile_set_name": "DM Mathematics"
} |
ivative of 0*c + 0*c**g + 0*c**3 + 1/60*c**5 + 0 - c**2. Factor u(y).
y**2
Let p be -497*1*4/10. Let w = -194 - p. Factor -3/5*x**3 + 3*x**2 + 12/5 - w*x.
-3*(x - 2)**2*(x - 1)/5
Let p(m) be the second derivative of m**7/7 - 2*m**6/15 - 3*m**5/5 + 2*m**4/3 + m**3 - 2*m**2 + 5*m. Let p(s) = 0. Calculate s.
-1, 2/3, 1
Suppose 4*o + 3 = 5*o. Factor -6*l**2 - 2 + o + 5*l**2.
-(l - 1)*(l + 1)
Let a(v) = 14*v**2 + 14*v - 17. Let d(g) = -5*g**2 - 5*g + 6. Let n(k) = 6*a(k) + 17*d(k). Factor n(p).
-p*(p + 1)
Let x(o) be the first derivative of 2*o**3 + 6 - 4*o - 1/2*o**4 - 2/5*o**5 + o**2. Suppose x(f) = 0. Calculate f.
-2, -1, 1
Factor 3*j**3 + 9 - 4*j - 5*j - 6*j**2 - 3 + 6*j.
3*(j - 2)*(j - 1)*(j + 1)
Let q be 4/(-11)*((-165)/6)/5. Suppose 9/2 + 1/2*r**q - 3*r = 0. What is r?
3
Let r(t) be the third derivative of t**4/8 - t**3/3 - t**2. Let i be r(2). Factor -3*c**4 - 3*c**2 + 2*c**2 - i*c**3 - c**5 + c**3.
-c**2*(c + 1)**3
Let s(f) = 7*f**2 + 9*f + 30. Let l(z) = 20*z**2 + 28*z + 88. Let k(q) = -5*l(q) + 14*s(q). Let k(d) = 0. What is d?
-5, -2
Suppose 2*o - 29 - 35 = -4*l, 4*l - 2*o = 64. Let a = 2 - -6. Factor -4*r - a*r**3 + 2*r**2 + 8*r**4 + 0*r - l*r**2.
2*r*(r - 2)*(2*r + 1)**2
Factor -1 - 3*r + 9*r + 4*r**2 + 2 + 1.
2*(r + 1)*(2*r + 1)
Let g(p) be the third derivative of 0*p - 1/48*p**4 - 1/420*p**7 + 0 - 6*p**2 + 1/240*p**6 + 0*p**3 + 1/120*p**5. Suppose g(s) = 0. Calculate s.
-1, 0, 1
Let s(k) be the first derivative of -k**4/6 + k**2/3 + 16. Determine p so that s(p) = 0.
-1, 0, 1
Let j be -1 + (3/(-6) + 0)*-6. Factor 1/4*x**j + 0 - 1/4*x.
x*(x - 1)/4
Let m(q) be the second derivative of 3*q**5/80 - 3*q**4/16 - q**3/2 + 20*q. Determine w so that m(w) = 0.
-1, 0, 4
Let h(r) = r**3 + r**2 + 5*r - 7. Let b(p) = -3*p**3 + 0*p**3 - 7*p + p**3 + p + 8. Let g(v) = -3*b(v) - 4*h(v). Determine n so that g(n) = 0.
-1, 1, 2
Let d(q) be the third derivative of -q**5/600 + q**4/80 - q**3/30 - 7*q**2. Let d(n) = 0. Calculate n.
1, 2
Factor -1/8*y**2 + 3/8*y + 1/2.
-(y - 4)*(y + 1)/8
Let i(r) = r + 1. Let t(w) = 3*w**2 - 18*w - 12. Let c(p) = -12*i(p) - t(p). What is b in c(b) = 0?
0, 2
Suppose 2*k = -17 + 21. Let c be 3/5*10/4. Factor 1 + c*z + 1/2*z**k.
(z + 1)*(z + 2)/2
Let f(c) = -19*c**3 + 11*c**2 + 19*c. Let b(d) = -10*d**3 + 6*d**2 + 10*d. Let v(z) = 11*b(z) - 6*f(z). Factor v(a).
4*a*(a - 1)*(a + 1)
Let w(l) be the second derivative of 0 + 1/60*l**5 - 1/45*l**6 - 1/18*l**3 + 1/18*l**4 + 0*l**2 + 3*l. Factor w(g).
-g*(g - 1)*(g + 1)*(2*g - 1)/3
Suppose 9 = -2*f + 13. Let t(g) be the first derivative of -4 + 0*g - 3/4*g**4 + g**3 + 0*g**f. Factor t(m).
-3*m**2*(m - 1)
Let w be (5 - 45/10)*(-4)/(-3). Factor -1/3*u**4 - u**3 + w + u - 1/3*u**2.
-(u - 1)*(u + 1)**2*(u + 2)/3
Let t be (181/(-60) + 3)*-2. Let h(q) be the second derivative of t*q**4 + q + 0*q**3 + 1/50*q**5 + 0*q**2 + 0. Factor h(y).
2*y**2*(y + 1)/5
Suppose 12*s - 8*s - 16 = 0. Let z(q) be the first derivative of -5*q**2 - 1/2*q**4 + 1 + 8/3*q**3 + s*q. Find d, given that z(d) = 0.
1, 2
Let l(b) be the third derivative of 0 - 1/90*b**5 + 0*b**3 + b**2 + 0*b - 1/36*b**4. Let l(w) = 0. Calculate w.
-1, 0
Let k(i) = 3*i**4 - 11*i**3 - 49*i**2 - 48*i - 18. Let t(a) = -8*a**4 + 34*a**3 + 146*a**2 + 144*a + 54. Let b(m) = 14*k(m) + 5*t(m). Factor b(w).
2*(w + 1)**2*(w + 3)**2
Suppose -3*j + 4 = 2*f, 3*j = 3*f + 12 + 12. Let z be (5/10 - 0)*j. Factor -y**4 - 5/4*y**3 + 0*y - 1/4*y**5 - 1/2*y**z + 0.
-y**2*(y + 1)**2*(y + 2)/4
Let x(g) be the second derivative of -5/12*g**3 - 1/2*g**2 - 1/40*g**5 + 0 - 6*g - 1/6*g**4. Solve x(q) = 0 for q.
-2, -1
Let v(n) be the first derivative of 0*n**3 - 3 + 0*n + 1/2*n**2 - 1/84*n**4 + 1/210*n**5. Let z(t) be the second derivative of v(t). Factor z(a).
2*a*(a - 1)/7
Factor 2/21*u**3 - 2/21*u + 4/21*u**2 - 4/21.
2*(u - 1)*(u + 1)*(u + 2)/21
Let g(c) be the first derivative of 2*c**5/5 - 7*c**4/2 - 9. Find t, given that g(t) = 0.
0, 7
Let s(j) be the first derivative of 4/7*j**2 - 8/7*j - 2/21*j**3 + 2. Factor s(b).
-2*(b - 2)**2/7
Let q(y) be the first derivative of y**4/18 - y**2/3 - 4*y/9 + 2. Let q(f) = 0. Calculate f.
-1, 2
Determine c, given that -4*c + 4*c**3 + 6*c**2 - 3*c**2 - 4 + c**4 + 0*c**4 = 0.
-2, -1, 1
Let f(o) be the third derivative of 2/15*o**5 - 5/12*o**4 + 2/3*o**3 - 4*o**2 + 0 + 0*o - 1/60*o**6. Factor f(l).
-2*(l - 2)*(l - 1)**2
Suppose 20*u = 16*u + 8. Determine t, given that 8/9*t - 2/9*t**u - 8/9 = 0.
2
Suppose 0 = 3*v - v + 8. Let i be 12/28 + v/(-56). What is n in -1/4 - 1/2*n**3 - 1/4*n**5 + 3/4*n + 3/4*n**4 - i*n**2 = 0?
-1, 1
Let q be ((66/(-44))/((-18)/(-16)))/(-2). Factor -8/9*h**4 + 2/9*h**2 + 0 + q*h**3 + 0*h.
-2*h**2*(h - 1)*(4*h + 1)/9
Let t be 15 + 2*3/(-6). Let o be (4/(-3))/(6/27). Let r(x) = 4*x**2 - 4*x. Let d(s) = 9*s**2 - 9*s. Let m(g) = o*d(g) + t*r(g). Solve m(y) = 0.
0, 1
Let u = -1847500/9 + 205492. Let b = -214 + u. Find x, given that 2/9*x**3 + 4/9*x**2 - b*x - 4/9 = 0.
-2, -1, 1
Let r be (-11)/55 - (-2)/10. Suppose 2/9*z**2 + r - 2/9*z = 0. What is z?
0, 1
Let t(a) = -a**5 + a**4 + a**3 + a**2 - a - 1. Let v(z) = -7*z**5 + 6*z**4 + 8*z**3 + 6*z**2 - 7*z - 6. Let y(h) = -6*t(h) + v(h). Factor y(x).
-x*(x - 1)**2*(x + 1)**2
Let o = 61/78 + -8/13. Let a(q) be the third derivative of -1/15*q**6 + 0*q**3 + 0*q + 4*q**2 + 0 - 1/12*q**4 + o*q**5. Let a(c) = 0. Calculate c.
0, 1/4, 1
Let s(o) be the third derivative of o**9/7560 - o**8/2100 + o**6/450 - o**5/300 - 5*o**3/3 + 4*o**2. Let q(l) be the first derivative of s(l). Solve q(y) = 0.
-1, 0, 1
Let k(v) be the first derivative of -v**7/1680 + v**6/360 - v**5/240 - 2*v**3/3 - 2. Let g(r) be the third derivative of k(r). What is q in g(q) = 0?
0, 1
Let f = 16 - 14. Let x(y) be the second derivative of 0 + f*y + 1/70*y**5 + 1/7*y**3 + 1/14*y**4 + 1/7*y**2. Solve x(q) = 0.
-1
Let h(j) be the first derivative of 6*j - 17*j - 9*j**2 - 16*j + 2 - j**3. Solve h(s) = 0 for s.
-3
Let v = -20/3 + 106/15. Factor 4/5*y - v*y**2 - 2/5.
-2*(y - 1)**2/5
Let x(o) = o**3 + 5*o**2 + 5*o + 4. Let a be x(-4). Suppose 5*r - 15 = 0, -2*y - 3*r = 3*y - 19. Factor y*t**2 - t**5 + a*t**5 + 0*t**5 - 2*t**4 + t.
-t*(t - 1)*(t + 1)**3
Suppose -60*t**4 + 22*t**4 - 17*t**4 - 15*t**5 - 5*t**2 - 55*t**3 + 10*t = 0. Calculate t.
-2, -1, 0, 1/3
Let q be (2 + -1)/(3/6 - -5). Suppose -2*w = -0*w - 4. Determine y, given that 0*y + 0 - 2/11*y**4 + 0*y**3 + q*y**w = 0.
-1, 0, 1
Let n(j) = -j**5 - 3*j**4 - 6*j**3 + 6*j**2 - j - 3. Let r = 4 - 7. Let k(b) = -b**5 - 3*b**4 - 5*b**3 + 5*b**2 - 2. Let f(o) = r*n(o) + 4*k(o). Factor f(u).
-(u - 1)*(u + 1)**4
Let c(t) be the first derivative of 1/25*t**5 + 0*t**2 - 1/30*t**4 + 2 + 2*t + 0*t**3. Let f(a) be the first derivative of c(a). Factor f(b).
2*b**2*(2*b - 1)/5
Let q(o) be the first derivative of -1/16*o**4 + 0*o + 5 - 1/12*o**3 + 0*o**2. Determine p, given that q(p) = 0.
-1, 0
Factor 1/6 - 1/2*i**2 + 1/3*i**3 + 0*i.
(i - 1)**2*(2*i + 1)/6
Let g be (6/12)/(1/6). Suppose 9 = 5*h - i - 2, -3*h - 3 = -g*i. Find c, given that 1/2*c + 1/2*c**h + c**2 + 0 = 0.
-1, 0
Let f be 1/2 - 95/210. Let c(x) be the second derivative of -1/70*x**5 + 0*x**2 - 1/105*x**6 + 1/42*x**4 + 0 + 2*x + f*x**3. Find q such that c(q) = 0.
-1, 0, 1
Find d such that 88*d + 19*d**4 + 24*d**4 + 156*d**2 + 12*d**4 + 16 + 122*d**3 + 6*d**5 - 11*d**4 = 0.
-2, -1, -1/3
Let t(f) = 5*f**2 - 2*f. Let y(j) = -4*j**2 + 2*j. Let x(l) = -5*t(l) - 6*y(l). Find s, given that x(s) = 0.
-2, 0
Factor -6/7 + 3/7*d**2 + 3/7*d.
3*(d - 1)*(d + 2)/7
Let q(v) = -v - 3. Let g be q(-7). Suppose 2*p**3 + p**2 + g*p**4 + p**5 - p**4 + p**3 = 0. What is p?
-1, 0
Let w(y) be the third derivative of y**5/60 - 6*y**2. Factor w(s).
s**2
Suppose -3*i = -i - 2*q + 6, 0 = 3*i + 4*q - 5. Let y(z) = 2*z + 2. Let c be y(i). Factor -1/3*h**3 + c*h + 0 - 1/3*h**2.
-h**2*(h + 1)/3
Factor -220*a**3 - 135*a**4 - 126*a**4 - 4*a - 52*a**2 - 39*a**4.
-4*a*(3*a + 1)*(5*a + 1)**2
Let s(f) be the second derivative of f**6/45 + f**5/30 - f**4/6 - f**3/9 + 2*f**2/3 + 39*f. Factor s(v).
2*(v - 1)**2*(v + 1)*(v + 2)/3
Let p(z) be the second derivative of 7*z**6/30 + 19*z**5/20 - z**4/2 - 14*z**3/3 + 4*z**2 - 5*z. Factor p(s).
(s - 1)*(s + 2)**2*(7*s - 2)
Factor -28*y + 3 + 9 + 8*y**2 + 0*y**2.
4*(y - 3)*(2*y - 1)
Let k be 15/(-9) + | {
"pile_set_name": "DM Mathematics"
} |
scending order.
1, -4, -26, -455
Sort -4, 4, 2, 1, 253 in descending order.
253, 4, 2, 1, -4
Put 6/7, -4, 350 in increasing order.
-4, 6/7, 350
Put 5, -1, -9, 56, -4 in descending order.
56, 5, -1, -4, -9
Sort 11, -2, -9, 7, 36.
-9, -2, 7, 11, 36
Put 32.6, -2/3, 0.036, 7 in decreasing order.
32.6, 7, 0.036, -2/3
Put 847.8, 4, -0.2 in increasing order.
-0.2, 4, 847.8
Sort 10, 28, -1/7, 3, -3 in increasing order.
-3, -1/7, 3, 10, 28
Put -24, 3, -1125, 2 in increasing order.
-1125, -24, 2, 3
Put -5, 193, -59, -13, -3, 4 in increasing order.
-59, -13, -5, -3, 4, 193
Put -4, 5, -75, 1433 in decreasing order.
1433, 5, -4, -75
Put -1, -7, -1/4, -39, 26 in descending order.
26, -1/4, -1, -7, -39
Sort -5/41, -25.4, 3/2 in increasing order.
-25.4, -5/41, 3/2
Put 0, 16/7, 0.6, -1/3, -4, 0.08 in descending order.
16/7, 0.6, 0.08, 0, -1/3, -4
Sort -3/4, 45, -2, 1.111 in descending order.
45, 1.111, -3/4, -2
Sort 2, 5, -5, 88716, 0.
-5, 0, 2, 5, 88716
Sort -314, 0, 6, -1.5.
-314, -1.5, 0, 6
Put 2/11, 4/5, -2/7, 6, -5/4 in ascending order.
-5/4, -2/7, 2/11, 4/5, 6
Put 47, 0.03, -2/247 in descending order.
47, 0.03, -2/247
Put 3, 5, -279, -13 in increasing order.
-279, -13, 3, 5
Sort 82, -0.09, -0.45.
-0.45, -0.09, 82
Sort -3387, -4, 114 in ascending order.
-3387, -4, 114
Sort -3, 1201, -5, 2, 1 in ascending order.
-5, -3, 1, 2, 1201
Sort 13, -43, -10, 43 in descending order.
43, 13, -10, -43
Sort -1, -87, -365.
-365, -87, -1
Sort 38, 2, 2/11, 4, -4/215 in descending order.
38, 4, 2, 2/11, -4/215
Sort -2/5, 2, -7, 253, 0.06.
-7, -2/5, 0.06, 2, 253
Put -25, -3, 743 in decreasing order.
743, -3, -25
Sort 22937, 8, -1 in ascending order.
-1, 8, 22937
Put 0, -31, 0.1, 3/4, -61, -4 in increasing order.
-61, -31, -4, 0, 0.1, 3/4
Sort -5, 2, -2401/55.
-2401/55, -5, 2
Sort 689/9, -38, -1/5 in ascending order.
-38, -1/5, 689/9
Sort -25, 262, 0 in descending order.
262, 0, -25
Sort -4/5, 4/5, -321/170 in increasing order.
-321/170, -4/5, 4/5
Put -28, 319, 56 in decreasing order.
319, 56, -28
Put -4, -1, 0, 3, 2, -1534 in decreasing order.
3, 2, 0, -1, -4, -1534
Put 69, -3/2, -1.6106 in decreasing order.
69, -3/2, -1.6106
Sort -7, 311, 39, 1, -5.
-7, -5, 1, 39, 311
Sort -0.3, 8740, 3/4, 5.
-0.3, 3/4, 5, 8740
Put -34, 2, -4, 0, -1 in ascending order.
-34, -4, -1, 0, 2
Sort -18212, 3, 0, -2 in decreasing order.
3, 0, -2, -18212
Put -1, -103, -61 in descending order.
-1, -61, -103
Put 4, 769, -11 in increasing order.
-11, 4, 769
Put 11, 8982, 5 in decreasing order.
8982, 11, 5
Put -5, 244, 1, 0, -2, -1 in descending order.
244, 1, 0, -1, -2, -5
Sort -5, -4, -78, -3, -2, 1 in decreasing order.
1, -2, -3, -4, -5, -78
Put 0.14, -2/7, -5, 4, 0 in increasing order.
-5, -2/7, 0, 0.14, 4
Sort 1, 1/5, 13, 13/10.
1/5, 1, 13/10, 13
Put -17, -11, -1, 39, -3, 2 in decreasing order.
39, 2, -1, -3, -11, -17
Sort -12, 5, 1, 6786 in decreasing order.
6786, 5, 1, -12
Sort -2, -1/5, -3, 43087, 0.2.
-3, -2, -1/5, 0.2, 43087
Sort -15, 65, -0.07, -2/13.
-15, -2/13, -0.07, 65
Put -7, -1, 9, -20, -39 in descending order.
9, -1, -7, -20, -39
Sort -0.979, -0.7, 0.2, 5/3, 0 in ascending order.
-0.979, -0.7, 0, 0.2, 5/3
Put -29, -9, 5, 4 in increasing order.
-29, -9, 4, 5
Put -4, 13, -220, 6 in increasing order.
-220, -4, 6, 13
Put -3, 0.08, -7.6, 5, -1/7 in increasing order.
-7.6, -3, -1/7, 0.08, 5
Sort -6/23, 1/39, -1/3 in descending order.
1/39, -6/23, -1/3
Sort -5, -5551, 4/5.
-5551, -5, 4/5
Sort -4, -12, -3, 8, -5 in decreasing order.
8, -3, -4, -5, -12
Put 0.4, 6/11, 35747 in decreasing order.
35747, 6/11, 0.4
Put -1/139, 8, -5, -2/5, -2/13 in descending order.
8, -1/139, -2/13, -2/5, -5
Put -1836, 15, -5 in decreasing order.
15, -5, -1836
Put 0.065, 2, -1/3, -3, 0.3 in decreasing order.
2, 0.3, 0.065, -1/3, -3
Sort -2/11, -3, 4, 3, -14.93, 0.03.
-14.93, -3, -2/11, 0.03, 3, 4
Put 0.5, -5, 6/37, 2/9, -3 in decreasing order.
0.5, 2/9, 6/37, -3, -5
Put 4, -7541, 17, 3 in increasing order.
-7541, 3, 4, 17
Put 12/5, 5, -0.146 in ascending order.
-0.146, 12/5, 5
Put 90, -5, -2, 152 in decreasing order.
152, 90, -2, -5
Put 1, -50, 4450, 2 in decreasing order.
4450, 2, 1, -50
Sort -1/10, -2/3, 1.088, -148 in ascending order.
-148, -2/3, -1/10, 1.088
Sort -5, 3, 1, 15552.
-5, 1, 3, 15552
Put 5, -2, 0.5, -29.5, -6 in descending order.
5, 0.5, -2, -6, -29.5
Sort 0.6, -38/7, 0.1 in ascending order.
-38/7, 0.1, 0.6
Sort 296, -3, -5, 1, -1, 17 in descending order.
296, 17, 1, -1, -3, -5
Put -7, 0, -1, -2, -28 in decreasing order.
0, -1, -2, -7, -28
Put -2, 4, -98, 2/13, 5, 0.06 in decreasing order.
5, 4, 2/13, 0.06, -2, -98
Put 3, -1, 0.2, 182 in descending order.
182, 3, 0.2, -1
Sort 1, 4088, -1, 5, -3 in decreasing order.
4088, 5, 1, -1, -3
Sort 232, -3, 5 in decreasing order.
232, 5, -3
Put 0, 1, 14, -5, 1480 in descending order.
1480, 14, 1, 0, -5
Sort -4, -3, -49, 31, -40 in ascending order.
-49, -40, -4, -3, 31
Sort 6, 1, 8, 4.
1, 4, 6, 8
Sort 0.1, 4, 5/6, -6, -34, -0.6.
-34, -6, -0.6, 0.1, 5/6, 4
Sort 28, -0.114, -1, -0.2 in descending order.
28, -0.114, -0.2, -1
Put 49, -0.3, -3.22, 2/13 in descending order.
49, 2/13, -0.3, -3.22
Sort -4, 6, 1, 7483 in descending order.
7483, 6, 1, -4
Put 0.001, 15/314, -0.5 in descending order.
15/314, 0.001, -0.5
Put -51, 4013, -3 in ascending order.
-51, -3, 4013
Sort -2/7, -0.08, -0.135 in descending order.
-0.08, -0.135, -2/7
Put -9, -1176, 3 in decreasing order.
3, -9, -1176
Put -49, -9, -1/5, -4, -3/8 in ascending order.
-49, -9, -4, -3/8, -1/5
Put 5, 1/74, -28/11 in ascending order.
-28/11, 1/74, 5
Put 82, -174, 2 in decreasing order.
82, 2, -174
Sort -2/29, 63/149, -2/17.
-2/17, -2/29, 63/149
Put 452, 4, 2, -4, -6 in descending order.
452, 4, 2, -4, -6
Sort -3, -8, 2, -61.
-61, -8, -3, 2
Sort -0.2, 2, -1/52, 501, 0.3 in increasing order.
-0.2, -1/52, 0.3, 2, 501
Sort -0.3, 1/7, 32/7, -3/29 in descending order.
32/7, 1/7, -3/29, -0.3
Put 11, -1, 3, -7, -4, 5 in decreasing order.
11, 5, 3, -1, -4, -7
Sort -34, -104, 2, -4, 3.
-104, -34, -4, 2, 3
Put 3, -0.5, 1/2, 20/47, 4/5 in decreasing order.
3, 4/5, 1/2, 20/47, -0.5
Sort -5, -38, -890 in decreasing order.
-5, -38, -890
Put -9, 16, 37, -3, -5, 1 in increasing order.
-9, -5, -3, 1, 16, 37
Put -2/5, 3, -3, -732, -1 in decreasing order.
3, -2/5, -1, -3, -732
Sort 1, -424, 22.
-424, 1, 22
Put 1625, 0, -2 in increasing order.
-2, 0, 1625
Sort 0, -8, -1/5, 8/3, 45.
-8, -1/5, 0, 8/3, 45
Sort 521, -1, 2, 15, 1 in descending order.
521, 15, 2, 1, -1
Sort 1/5, -32, -8/9, -46, 3.
-46, -32, -8/9, 1/5, 3
Put -0.044, -1/9, 3, -1.9 in descending order.
3, -0.044, -1/9, -1.9
Put 2, 8, 4, -3880 in descending order.
8, 4, 2, -3880
Put 0.99213, -0.2, 1/6, 5, -2 in increasing order.
-2, -0.2, 1/6, 0.99213, 5
Sort 3, -5, 0, -143, 2 in decreasing order.
3, 2, 0, -5, -143
Sort -0.5, -0.2, 4, -81, 1/4, -5.15 in decreasing order.
4, 1/4, -0.2, -0.5, -5.15, -81
Put 45, -9, 0, 4, -4 in decreasing order.
45, 4, 0, -4, -9
Sort -5, 330, -15 in ascending order.
-15, -5, 330
Sort -1, 17, -5, -6, 2 in ascending order.
-6, -5, -1, 2, 17
Sort -1/6, 35, -6/7, -43, 1 in decreasing order.
35, 1, -1/6, -6/7, -43
Put -471, -7, -2, 5 in descending order.
5, -2, -7, -471
Sort -3, 2, 94, 10 in descending order.
94, 10, 2, -3
Sort 2, -57, -82.
-82, -57, 2
Sort 1/8, -141, 5, -3, -6, -4 in increasing order.
-141, -6, -4, -3, 1/8, 5
Sort -6, -2/3, 9, 2, -0.3, -0.2 in decreasing order.
9, 2, -0.2, -0.3, -2/3, -6
Sort -1, 677, 0.4, 0.1 in increasing order.
-1, 0.1, 0.4, 677
Put -177, -3.9, -1/4, -1/6, -0.4 in decreasing order.
-1/6, -1/4, -0.4, -3.9, -177
Sort -2, -1330, 6 in decreasing order.
6, -2, -1330
Put 3, 4, 435, -4 in decreasing order.
435, 4, 3, -4
Sort -6, -5/2, 0.2, -13 in decreasing order.
0.2, -5/2, -6, -13
Sort -9, -118, 2, -5, 0, 10.
-118, -9, -5, 0, 2, 10
Sort -11, -1, -7, 1, 0 in decreasing order.
1, 0, -1, -7, -11
Sort 0.33, -3, 15/67, 0.2, -0.2.
-3, -0.2, 0.2, 15/67, 0.33
Sort -5, -0.04, 2/7, 6, 2 in ascending order.
-5, -0.04, 2/7, 2, 6
Sort -5, 507, -11, -7 in descending order.
507, -5, -7, -11
Put -5, 85, -4, 16, -1 in descending order.
85, 16, -1, -4, -5
Put 2, -4, -652, 0, -1 in descending order.
2, 0, -1, -4, -652
Sort -3, -5, 258, -1.
-5, -3, -1, 258
Sort 0, -5, 3, -165, -31 in increasing order.
-165, -31, -5, 0, 3
Sort -78 | {
"pile_set_name": "DM Mathematics"
} |
q**2 + 1 - 1).
-7*q**3
Expand (-5*s - 6 + 6)*(-3*s - s + 2*s)*(-1 - 3 + 2 + (5 + 1 - 3)*(-3 + 3 + 2) + 3 - 1 - 1).
50*s**2
Expand (152*m**2 + 239*m**2 + 12*m**2 + 222*m**2)*(-2*m**2 - 2*m + 2*m).
-1250*m**4
Expand (-3130*x + 3129*x + 1 + 9)*(2*x - 2*x + 6*x)*(2 - 1 - 3).
12*x**2 - 120*x
Expand (0*l + 2*l + 0*l)*(-2*l + 2 - 2)*(-617*l - 62 - 3*l**2 + l**2 + 616*l).
8*l**4 + 4*l**3 + 248*l**2
Expand -d + d - 2*d**2 + (-d + 3*d - d)*(0*d - 3*d + 4*d) + (17 - 11*d - 17)*(-3*d + 5*d + 0*d).
-23*d**2
Expand (2*b + 3 - 3)*(-1 - 1 + 3) - 2 + 2*b + 2 - b - 2*b - 4*b + (-4 - 1 + 1)*(-4*b + b + 2*b) - b + 2*b + b.
3*b
Expand (2*i - 4 - 2*i - 2*i)*(-79 - 80 + 52).
214*i + 428
Expand (5 + 5 + 12)*(0 - 3 + 4)*(-1 + 1 - 2*j) - 17*j - 3*j + 0*j.
-64*j
Expand (-2*m - m + m)*(-8 - 42 - 5)*(1 - 7 + 2)*(0*m**2 + 0*m**2 - m**4).
440*m**5
Expand (-4 + 0 + 2)*(-10*i**2 - i**2 + 11*i**2 + 121*i**3).
-242*i**3
Expand (-3 + 0 - 2 + 3*a)*(-20*a - a + 5*a).
-48*a**2 + 80*a
Expand (0*q - 2 + q + 0*q)*((q + 1 - 1)*(-3*q + 3*q + 2*q) - 7*q**2 - 9*q**2 - 13*q**2).
-27*q**3 + 54*q**2
Expand (0 + 0 + 4*v)*(-2 + 0 + 1)*(4 - 2 + 3)*(-3 + 4 + 5).
-120*v
Expand (4 - 2 + 0)*(-11*o + 11*o**2 - 7*o**2 - 7*o**2).
-6*o**2 - 22*o
Expand (63*w + 73*w + 141*w - 71*w)*(0*w + 2*w + 6*w).
1648*w**2
Expand (6*q**3 - q**3 - 3*q**3)*(2*q**2 - 3*q**2 + 0*q**2) + (3*q**2 - 6*q**2 + 4*q**2)*(-3025 - 86*q**3 + 3025).
-88*q**5
Expand (-442*s**3 - 667*s**3 + 130*s**3 - 439*s**3)*(s - s - 2*s).
2836*s**4
Expand -6*i**2 - 32 + 13 + 22 + (-i + 0*i + 2 - 4)*(0*i - 2*i + 0*i).
-4*i**2 + 4*i + 3
Expand (402 - 176*b - 402)*(-3*b**4 + b**4 - b**4).
528*b**5
Expand x**3 + x**3 - x**3 + (3*x - 2*x + x - 3*x - x + 6*x + (-2 + 2 + 2)*(46 - 3*x - 46) + 16*x - 20*x + 12*x)*(4*x**2 - 2*x**2 + 0*x**2).
13*x**3
Expand (0*v - v + 2*v)*(-6 - 9 + 17)*(60*v**4 - 26*v**4 + 100*v**4).
268*v**5
Expand (5 - 87*k + 180*k - 90*k)*(3*k + 16*k - 6*k).
39*k**2 + 65*k
Expand -g**3 - g**2 + g**2 + (5*g - 3*g - 4*g)*(-3*g - 2*g**2 + 3*g) + 5 + 2*g**3 + 9 - 2 + (-6 - 4*g**2 + 6)*(0*g + 2*g + 0*g).
-3*g**3 + 12
Expand (0 + 0 + w)*(-1 - 59 + 9)*((-4 + 2 + 3)*(-2 - 3 + 3) - 1 + 0 + 0).
153*w
Expand (1 + 1 + 0)*(3*l**3 - 3*l**3 + 7*l**3)*(-l**2 - 9*l**2 + 3*l**2) + (l**3 + 0 + 0)*(0*l - 2*l**2 + 0*l).
-100*l**5
Expand (-3*z**3 + 4*z**3 + 5*z**3)*(7 + 46 - 4) + 0 + 0 + 4*z**3.
298*z**3
Expand (-o - 2*o + 4*o + (2*o - 6*o + 2*o)*(1 + 4 - 3))*(-2*o + 5*o - 9*o)*(-3 - 3*o + 3).
-54*o**3
Expand (-12*v + 10*v + 5*v + 2)*(177*v + 193*v + 3 - 351*v).
57*v**2 + 47*v + 6
Expand (2*f**3 - 3*f**2 + 3*f**2)*(1 - 1 + f + (-1 + 1 + 2)*(2*f - 2*f + 2*f) + (-5*f + 6*f + 5*f)*(-4 - 3 + 1) - 6 + 6 - 7*f).
-76*f**4
Expand (4 - 2 - 1)*(-16 - i - 31 - 34) - 2*i + 0 + 7*i - 3.
4*i - 84
Expand (3 - 1 - 4)*(-13*b - 3*b + 13*b - 109).
6*b + 218
Expand (-3*r**4 - r**4 + 3*r**4)*(-1 - 2 + 4) + 6*r**4 - 4*r**4 + 0*r**4 + (0*r**4 + 7*r**4 - 2*r**4)*(23 - 50 + 12).
-74*r**4
Expand 69*d**4 - 163*d**4 + 47*d**4 + (-d - 3*d**2 + d)*(-d**2 + 3*d - 3*d) + 2 - 2 - 3*d**4.
-47*d**4
Expand (z + 1 - 1)*(-6*z + 7*z + 6*z) + 23 - 23 + 11*z**2.
18*z**2
Expand (2 - 6 + 2 + 2 + 1 - 2 - 3 + 1 + 0 + (-2 + 4 - 3)*(1 + 2 - 1))*(2*x - 3*x + 0*x)*(-3*x + 2*x - x).
-10*x**2
Expand -u - u - u**2 - u**2 + (-1 + 3*u + 1)*(-49 + 34*u + 49).
100*u**2 - 2*u
Expand (-t**2 - 3*t**2 + 3*t**2)*(t + 0 + 0) - t**3 + 8*t**3 + 45*t**3.
51*t**3
Expand (2 + r - 2)*(-3*r**2 + 6*r**2 - 4*r**2) + r + 2 + r**2 - 82*r**3 + 195*r**3 - 93*r**3.
19*r**3 + r**2 + r + 2
Expand (-2 + 0 + 3)*(-11*s + 11 - 11) + 3*s - 2*s - 2*s.
-12*s
Expand (3*f - 5*f + f + (0 + 0 + 3*f)*(1 - 4 + 0) + (-11 + 4 + 2)*(-2*f + 5*f - 2*f))*(2*f + 3*f - 6*f).
15*f**2
Expand (-55254 + 55254 - 113*d**2)*(0*d**3 + 2*d**3 + 2*d**3) + 2*d**2 - d**3 - 2*d**2 + 2*d**5.
-450*d**5 - d**3
Expand (w**2 - 3*w**2 + 0*w**2)*(2*w + 0*w - 4*w) + (6*w**3 - 4*w**3 + 0*w**3)*(-260 - 177 + 521).
172*w**3
Expand (-p + 3*p - 3*p + (-p + 0 + 0)*(-2 + 1 - 1))*(198*p**4 - 2*p**2 + 247*p**4 - 17*p**4).
428*p**5 - 2*p**3
Expand (2*v - 7*v - v)*(-2 + 3 + 1) + 2*v - 9*v + 13*v.
-6*v
Expand (83*g - 228 + 228)*(3 - 7 + 2)*(-3*g + 5*g - 3*g).
166*g**2
Expand 2 - 2*b - 2 + (-2 + 2 - 3)*(b - 2 + 2) - 2 - 2*b + 1 - 2.
-7*b - 3
Expand (d**2 + 2*d**2 - d**2)*(-2*d**3 + 3*d**3 - 3*d**3) + 39*d + 14*d**5 - 39*d + (0*d**2 - d**2 - d**2)*(-9 + 9 + 3*d**3).
4*d**5
Expand (2 + 1 + 0)*(-h**5 - h**4 + 43*h**4 - 6*h**4) + 3*h**5 - 4*h**5 + 2*h**5.
-2*h**5 + 108*h**4
Expand (0*f + 3*f - f)*(0*f + 0*f + f + f - f + f + 3*f - f - 4*f + (3*f - 3*f - 2*f)*(1 - 2 + 2) + 3*f - 4*f + 2*f)*(3 + 0 - 1)*(547 - 13*f**3 - 547).
52*f**5
Expand 3*i**5 + 2*i**5 - 3*i**5 + (3*i**5 - i**5 - 4*i**5)*(-2 + 2 + 2) - 2 + i**5 + 2 + 4 + 16546*i + 2*i**2 + 2*i**5 - 16546*i.
i**5 + 2*i**2 + 4
Expand (4 + 3 - 5)*(2*p**2 + 2*p**2 - 5*p**2) + 1 + 2 + 147*p**2 - 2*p - 133*p**2.
12*p**2 - 2*p + 3
Expand (0*u + 2*u - 156*u**2 + 113*u**2)*(-u**3 + 2*u**3 - 3*u**3).
86*u**5 - 4*u**4
Expand (45 - 17 - 5)*(-34*t**3 + 5*t**2 + 4*t**5 - 2*t**5 + 32*t**3).
46*t**5 - 46*t**3 + 115*t**2
Expand (1 - 1 - 2*h**2)*(-29*h + 69 + 70 - 144).
58*h**3 + 10*h**2
Expand (0 - 2 + 0)*(-2*a - 2*a - 5*a)*(-15 + 5 - 8).
-324*a
Expand 0*d**2 + d**2 - 2*d**2 + (2*d**2 + 4*d - 4*d)*(1 + 3 - 5) + d**2 + 0*d**2 + 2*d**2 - d**2 - 16*d**2 + 39*d**2.
22*d**2
Expand (2 - 16 - 2)*(3*n**2 - 3*n**3 - 3*n**2) + n**3 + 5*n**3 - 4*n**3.
50*n**3
Expand (-7*c**2 + 3*c**2 - c**2)*(-18 + 5 - 5) - 2*c**2 - 10*c + 10*c.
88*c**2
Expand (-3*x**2 + 9 + 6*x**2 - 4)*((4 - 1 - 1)*(x - 5*x + x) + 1 - 5*x + 2*x + 0*x).
-27*x**3 + 3*x**2 - 45*x + 5
Expand 5*n**3 - 2*n**3 - n**3 + (-187*n + 58*n + 60*n)*(-4*n**2 - 2*n**2 + n**2) + n - n - 2*n**3.
345*n**3
Expand -v + 5*v - 5*v - 1 - 1 + 2*v + 1 + (-2 + 0 + 3)*(-2*v + 2 - 2) - 2*v + 2*v - 8*v.
-9*v - 1
Expand (2*l + 0*l - l)*(11*l - 11*l - 2*l**3) + 4*l**2 - 2*l**4 - 4*l**2 + (-2*l + l - l)*(2*l**3 + 2 - 2) + l**4 - 3*l**4 + 4*l**4.
-6*l**4
Expand (-3*h + 0*h + 9*h)*(21 - 3*h**2 - 21) + h**3 + 4*h**3 - h**3.
-14*h**3
Expand ((0*b + 4*b - b)*(4*b - 5*b - b) - 3*b**2 + b**2 + b**2)*(-201*b**2 + 201*b**2 - 15*b**3).
105*b**5
Expand (-1 - 2*p + 1)*(0*p + 2*p - 3*p) - 3221 + 6448 - 3*p**2 - 3220.
-p**2 + 7
Expand -4 + 3*z + 4 + (-13 + 54 + 22)*(-2*z - z + z).
-123*z
Expand ((5*m - 2*m - m)*(4*m - m - m) + (-m + m - m)*(9*m + 13*m + 2*m) - 1 + 3*m**2 + 1)*(0*m - m - m).
34*m**3
Expand (-2 - 1 + 4)*(-3*c + 3*c + 4*c**3 + (0 + 0 + 2*c**3)*(-1 + 2 + 1))*(170*c**2 + 849*c - 849*c).
1360*c**5
Expand (-9*j + 10*j - 10*j)*(-1 - 2 + 2)*(109*j - 46*j - 42*j).
189*j**2
Expand -3*c**3 + 5*c**3 + 0*c**3 + (0*c**2 - 3*c**2 + 18*c**2)*(4*c + c - 3*c).
32*c**3
Expand (15 - 145 - 154)*(2*d**2 - 3*d + 3*d).
-568*d**2
Expand (0 - 3*g + 0)*((-3 - 2 + 3)*(4*g - 2*g + 0*g) + g - g + 5*g - g + 4*g + 0*g + g - g + g - 3*g + 3*g - g + (0 - 4 + 3)*(-1 + 1 + 2*g)).
-6*g**2
Expand (-1 + g**4 + 1)*(-1 + 2*g + 1) + (g + 7*g + 0*g)*(g**4 + g**4 + 6*g**4).
66*g**5
Expand (-73*j + 173 - 173)*(2*j**4 + j**4 - 5*j**4).
146*j**5
Expand (0 - 2 + 3 - 6*y)*(-3 - 24 + 6).
126*y - 21
Expand (-2*z**2 + z**3 + 2*z**2)*(-12*z**2 + 20*z - 20*z)*(11 + 3 - 4).
-120*z**5
Expand (-10*r**2 + 6*r**2 - 2*r**2)*(-39*r + 22*r + 10*r)*(-2 + 0 + 3).
42*r**3
Expand 2*d**4 + 3*d**5 - 2*d**4 + (-5*d + 2*d + 2*d)*(d**4 - 2*d + 2*d) + (-d**2 + 5 - 5)*(-1 + 1 + d**3) + 4*d**5 + 7*d**4 - 7*d**4 + 4*d - 11*d**5 - 4*d.
-6*d**5
Expand 3*g + 4*g + 2*g - 2*g + 3*g - 2*g + (2 - 2 - g)*(-2 + 3 + 1).
6*g
Expand (-t**2 - 9*t + 9*t)*(-96*t + 48*t + 63*t) - 2*t**3 + 0*t**3 + 4*t**3 + (-1 + 2*t**2 + 1)*(t + 5*t - 4*t).
-9*t**3
Expand (2*g - 3*g + 0*g)*(2*g**4 - 3*g**2 + 3*g**2 + (-4*g + g + 0*g)*(-5*g**3 + 2*g**3 - 2*g**3)) + (-1 + 1 + g)*(-2*g**4 + 3*g**4 - 4*g**4).
-20*g**5
Expand (14*l + 9*l - 10*l)*(2 + 1 - 1)*(-2 + 1 + 3).
52*l
Expand (-4*m + 4*m + 2*m)*(-127*m**4 + 14170*m**2 - 14170*m**2 + m**3).
-254*m**5 + 2*m**4
Expand (-x - 3*x**2 - 2 + 2)*(-313 + 248*x**2 + 313 + 18*x**2).
-798*x**4 - 266*x**3
Expand (-x + x + x)*(4*x - 11*x - 30*x).
-37*x**2
Expand -11*r - 41*r - 13*r + (-2 + 2 + 1)*(2*r + 2*r - 2*r) + r + 2 - 2 + (3*r - r - 3*r)*(2 - 3 + 0) + 2 - 2 - r.
-62*r
Expand (-58 + 5*c**2 + 58)*(5*c**2 - 2*c**2 + c**2) + (c + c**4 - c)*(1 + 2 - 1).
22*c**4
Expand (-3 + 34 + 22)*(t + t + t | {
"pile_set_name": "DM Mathematics"
} |
+ 12080*y/3.
y*(y - 1510)*(y - 2)*(y + 4)/3
Factor -2*v**3/11 - 460*v**2/11 + 9462*v/11.
-2*v*(v - 19)*(v + 249)/11
Determine h, given that 38*h**5/3 + 470*h**4 + 11510*h**3/3 + 10570*h**2 + 23732*h/3 + 720 = 0.
-27, -5, -4, -1, -2/19
What is d in -2*d**4/7 + 516*d**3/7 + 3152*d**2/7 + 4224*d/7 = 0?
-4, -2, 0, 264
Find t, given that 5*t**3 - 85065*t**2 = 0.
0, 17013
Solve -2*v**3/13 - 138*v**2/13 + 440*v/13 + 576/13 = 0.
-72, -1, 4
Determine d so that 16*d**3 - 106*d**2 - 11460*d + 7200 = 0.
-24, 5/8, 30
Factor -z**3 - 687*z**2 - 31248*z - 368064.
-(z + 24)**2*(z + 639)
Suppose -2*o**3/9 + 62*o**2/3 + 632*o/9 - 1792/3 = 0. What is o?
-7, 4, 96
Solve -2*j**5/9 - 542*j**4/9 - 1076*j**3/9 + 4*j**2/9 + 1078*j/9 + 538/9 = 0.
-269, -1, 1
Determine v so that 2*v**3/13 - 152*v**2/13 - 372882*v/13 + 373032/13 = 0.
-396, 1, 471
Determine i so that 3*i**3 - 87*i**2 + 693*i - 1377 = 0.
3, 9, 17
Factor j**3 - 141*j**2 + 1188*j.
j*(j - 132)*(j - 9)
Factor -85*l**2 + 20090*l - 7080.
-5*(l - 236)*(17*l - 6)
Factor 7*t**3/6 - 2543*t**2/6 + 1630*t/3 - 362/3.
(t - 362)*(t - 1)*(7*t - 2)/6
Suppose 3*w**2/5 - 15471*w/5 + 92718/5 = 0. What is w?
6, 5151
What is t in t**5 + 10*t**4 - 288*t**3 + 266*t**2 + 287*t - 276 = 0?
-23, -1, 1, 12
Determine l so that 8*l**5/11 + 538*l**4/11 + 2158*l**3/11 + 962*l**2/11 - 2910*l/11 - 756/11 = 0.
-63, -3, -2, -1/4, 1
Factor y**3/3 + 142*y**2/3 + 2855*y/3 + 2714/3.
(y + 1)*(y + 23)*(y + 118)/3
Let 44*y**5 + 498816*y**4 + 1885433632*y**3 + 2377815653504*y**2 + 6473676504768*y + 3451165884928 = 0. Calculate y.
-3778, -2, -8/11
Determine k, given that 477*k**4/4 + 951*k**3/2 - 24351*k**2/4 - 6363*k + 81 = 0.
-9, -1, 2/159, 6
Factor -i**3 - i**2 + 36*i + 36.
-(i - 6)*(i + 1)*(i + 6)
Solve 18*f**5/7 + 42*f**4 + 1104*f**3/7 - 168*f**2 - 672*f = 0 for f.
-28/3, -7, -2, 0, 2
Find r, given that r**3/6 - 2551*r**2/6 - 20504*r/3 - 82144/3 = 0.
-8, 2567
Let 2*l**2 + 2054992*l + 527874015008 = 0. What is l?
-513748
Determine f so that -11*f**4/5 - 864*f**3/5 - 1293*f**2/5 + 1244*f/5 + 924/5 = 0.
-77, -2, -6/11, 1
Factor 4*q**3/5 - 1092*q**2/5 + 59984*q/5 - 115632/5.
4*(q - 198)*(q - 73)*(q - 2)/5
Solve -2*l**2/7 - 1750760*l/7 - 383145072200/7 = 0 for l.
-437690
Factor -l**2/4 + 232615*l/2 - 54109738225/4.
-(l - 232615)**2/4
Determine o, given that o**5 + 5620*o**4 - 39377*o**3 + 67528*o**2 + 22492*o - 90032 = 0.
-5627, -1, 2, 4
Factor x**3 + 209*x**2 + 4091*x - 4301.
(x - 1)*(x + 23)*(x + 187)
Factor 2*k**2 - 816728*k/21 - 3704.
2*(k - 19446)*(21*k + 2)/21
Let g**3/5 + 1333*g**2/5 - 5344*g/5 + 5348/5 = 0. What is g?
-1337, 2
Let -2*x**2 + 65318*x - 195936 = 0. Calculate x.
3, 32656
Determine f, given that -f**3 - 52*f**2 + 465*f - 900 = 0.
-60, 3, 5
Determine c so that -20*c**2 - 4432*c - 4412 = 0.
-1103/5, -1
Factor 250*j**2/7 - 108*j + 18/7.
2*(j - 3)*(125*j - 3)/7
Determine m, given that 35*m**5/4 - 13975*m**4/2 - 11985*m**3/4 = 0.
-3/7, 0, 799
Let -y**3 + 1203*y**2 + 2410*y = 0. Calculate y.
-2, 0, 1205
Suppose -863272*z**5/11 - 648064*z**4/11 + 197454*z**3/11 - 1570*z**2 + 44*z = 0. Calculate z.
-1, 0, 2/29, 11/122
Find f, given that 7*f**5/6 + 205*f**4/6 + 75*f**3 - 5810*f**2/3 - 13436*f/3 - 1120 = 0.
-24, -10, -2, -2/7, 7
What is u in -u**5 - 869*u**4 - 252297*u**3 - 24638695*u**2 - 48275138*u = 0?
-289, -2, 0
Factor 5*r**4 + 26220*r**3 - 5157120*r**2 + 332677120*r - 7125073920.
5*(r - 64)**3*(r + 5436)
Factor m**3/5 - 613*m**2/5 - 17752*m/5 - 125636/5.
(m - 641)*(m + 14)**2/5
Factor -2*y**3/7 + 382*y**2/7 + 1200*y/7 - 6984/7.
-2*(y - 194)*(y - 3)*(y + 6)/7
Find r such that -2*r**3/17 - 420*r**2/17 + 3914*r/17 - 6132/17 = 0.
-219, 2, 7
What is d in 4*d**5/5 - 36353*d**4/5 + 81650272*d**3/5 + 4298934344*d**2/5 + 11078586688*d - 2823638480 = 0?
-26, 1/4, 4570
Factor 5*b**3 - 22348*b**2 + 24967185*b + 9990450.
(b - 2235)**2*(5*b + 2)
Determine f so that -f**2/8 - 11945*f/8 - 133875/2 = 0.
-11900, -45
Factor h**2/6 - 2401*h + 17294403/2.
(h - 7203)**2/6
Factor 5*v**3 - 99005*v**2 + 489950960*v + 1470744060.
5*(v - 9902)**2*(v + 3)
What is v in 27*v**4/4 + 921*v**3/4 + 1737*v**2/2 + 1095*v + 450 = 0?
-30, -2, -10/9, -1
Factor 2*m**2 + 215430*m - 215432.
2*(m - 1)*(m + 107716)
Let 110*a**5 + 675*a**4 + 1300*a**3 + 825*a**2 + 90*a = 0. What is a?
-3, -2, -1, -3/22, 0
Factor -12100*i**3 - 2927760*i**2 + 106476*i - 968.
-4*(i + 242)*(55*i - 1)**2
What is x in -18*x**2 - 988*x/11 = 0?
-494/99, 0
What is s in s**2/4 - 8407*s/4 = 0?
0, 8407
What is z in -3*z**5 - 452*z**4/7 - 169*z**3/7 + 1378*z**2/7 + 1620*z/7 + 72 = 0?
-21, -1, -6/7, -2/3, 2
Determine o, given that -3*o**3/8 - 123*o**2/8 + 99*o/4 + 2565 = 0.
-38, -15, 12
Factor -16*b**3 - 172*b**2 - 244*b + 72.
-4*(b + 2)*(b + 9)*(4*b - 1)
Factor -5*g**2 - 2380*g - 4740.
-5*(g + 2)*(g + 474)
Solve -2*f**3 + 8980*f**2 - 17952*f = 0.
0, 2, 4488
Solve -m**3/8 - 3419*m**2/2 - 11689561*m/2 = 0.
-6838, 0
Solve u**3/3 - 586*u**2 + 264435*u - 6013512 = 0.
24, 867
Factor 5*v**2 + 2385435*v - 2385440.
5*(v - 1)*(v + 477088)
What is a in -2*a**3 - 6848*a**2 - 5848168*a + 23502368 = 0?
-1714, 4
Solve 2*x**4/5 + 24*x**3/5 - 1886*x**2/5 + 3564*x/5 + 5472/5 = 0.
-38, -1, 3, 24
Factor 40*y**4 - 1555*y**3 + 14200*y**2 + 18000*y.
5*y*(y - 20)**2*(8*y + 9)
Factor 2*w**3/5 - 1322*w**2/5 + 36816*w + 11779704/5.
2*(w - 354)**2*(w + 47)/5
Factor 4*o**2 + 36352*o.
4*o*(o + 9088)
Find k, given that -36*k**5 + 661380*k**4 - 3036891532*k**3 - 7088505476*k**2 - 5401368032*k - 1350415504 = 0.
-1, -2/3, 9187
Find p, given that -4*p**4 - 1896*p**3 + 25248*p**2 - 37144*p - 64284 = 0.
-487, -1, 3, 11
Determine r so that r**2 - 169*r = 0.
0, 169
What is r in 2*r**4/11 + 174*r**3/11 - 49428*r**2/11 - 5031424*r/11 - 4981824/11 = 0?
-124, -1, 162
Factor 3*n**2/2 + 469700*n/3 - 104378/3.
(n + 104378)*(9*n - 2)/6
Suppose 21*w**4 - 681*w**3 + 6609*w**2 - 21231*w + 7938 = 0. Calculate w.
3/7, 7, 18
Find y, given that 20*y**4 - 11845*y**3 + 1790260*y**2 - 10748705*y + 2575470 = 0.
1/4, 6, 293
Let -16*v**3 + 216860*v**2 - 162632*v - 54212 = 0. Calculate v.
-1/4, 1, 13553
Solve k**5 - 1630*k**4 - 7*k**3 + 11416*k**2 - 9780*k = 0 for k.
-3, 0, 1, 2, 1630
Solve 507*n**4 + 66066*n**3 - 387024*n**2 + 740736*n - 470016 = 0.
-136, 24/13, 2
Let x**5/2 - 183*x**4/2 + 1199*x**3 - 2697*x**2 - 2399*x/2 + 5577/2 = 0. Calculate x.
-1, 1, 3, 11, 169
Find o such that 3*o**2 - 1830*o - 7368 = 0.
-4, 614
Suppose -k**2/4 - 2815*k/2 + 96866 = 0. Calculate k.
-5698, 68
Suppose 2*d**3/7 - 636*d**2 + 634*d + 26700/7 = 0. What is d?
-2, 3, 2225
Factor -3*o**2/5 - 7821*o/5 - 7818/5.
-3*(o + 1)*(o + 2606)/5
Solve -5*v**2 - 2395*v + 2400 = 0 for v.
-480, 1
Suppose -h**3/5 - 157906*h**2/5 = 0. What is h?
-157906, 0
What is j in 6*j**5/5 + 1764*j**4/5 + 702*j**3 + 1752*j**2/5 = 0?
-292, -1, 0
Factor 3*c**3 - 11961*c**2 - 3*c + 11961.
3*(c - 3987)*(c - 1)*(c + 1)
Factor -2*y**3/9 - 476720*y**2/9.
-2*y**2*(y + 238360)/9
Find y, given that 2*y**3/5 + 942*y**2/5 + 113238*y/5 + 108578 = 0.
-233, -5
Suppose -r**5 + 163*r**4 - 303*r**3 - 3127*r**2 + 11008*r - 9660 = 0. Calculate r.
-5, 2, 3, 161
What is r in -3*r**4 + 135*r**3 - 1401*r**2 - 1215*r + 12852 = 0?
-3, 3, 17, 28
Suppose 2*f**2/9 - 2738*f/3 + 57400/9 = 0. Calculate f.
7, 4100
Find q, given that 4010*q**2 + 16051*q + 44 = 0.
-4, -11/4010
Factor -2*a**2/3 - 376*a/3 + 3392.
-2*(a - 24)*(a + 212)/3
Factor a**3/3 + a**2/3 - 274*a/3 - 544/3.
(a - 17)*(a + 2)*(a + 16)/3
Determine k so that 32*k**4/9 - 2223056*k**3/9 + 12869919574*k**2/3 - 19304462540*k/9 + 2413040450/9 = 0.
1/4, 34735
Let 2*w**2/17 - 12*w - 17270/17 = 0. Calculate w.
-55, 157
Solve 3*l**5 + 39*l**4 - 2538*l**3 + 19734*l**2 + 2535*l - 19773 = 0 for l.
-39, -1, 1, 13
Find k, given that -2*k**3 + 8646*k**2 - 172320*k + 860600 = 0.
10, 4303
Factor -i**3 + 52817*i**2 - 105631*i + 52815.
-(i - 52815)*(i - 1)**2
Factor 5*d**2 - 900*d - 3680.
5*(d - 184)*(d + 4)
Solve -2*u**4/7 - 1245448*u**3/7 - 193893835532*u**2/7 - 387783934728*u/7 - 193891344642/7 = 0 for u.
-311361, -1
What is g in -105*g**4 + 327*g**3 + 4689*g**2 + 7965*g - 972 = 0?
-3, 4/35, 9
Find v such that -4*v**4 - 152*v**3 + 7616*v**2 - 12072*v - 108540 = 0.
-67, -3, 5, 27
Solve 3*o**2 - 683250*o + 38902546875 = 0.
113875
Let -2*g**2/3 + 73*g/3 + 329 = 0. What is g?
-21/2, 47
Find f, given t | {
"pile_set_name": "DM Mathematics"
} |
*2*q**3 - h**2*q**2 + 474*h**2*q + 13824*h*q**3 + 2*h*q**2 + 46*q**3 - 17119*q - 3 wrt q?
-36*h**2 + 82944*h + 276
What is the derivative of -130843701*x*z + 8598*x - 3667 wrt z?
-130843701*x
Find the second derivative of 979528009*p**5 + 2*p + 648553585 wrt p.
19590560180*p**3
Find the first derivative of r**3*u - 125822635*r**3 - 3*r**2*u - 597879*r*u + 3*r wrt u.
r**3 - 3*r**2 - 597879*r
Find the second derivative of 3*a**3 - 59788627*a**2 - 1438495*a - 10.
18*a - 119577254
Find the third derivative of 105713354*o*u**5 - 12*o*u**2 - o + 5*u**2 - 6*u - 26 wrt u.
6342801240*o*u**2
Find the third derivative of 4903017*x**3 + 3*x**2 + 967*x + 21.
29418102
Find the third derivative of -24495*i**5 + 20*i**3 + 19*i**2 - 7059*i + 3 wrt i.
-1469700*i**2 + 120
What is the third derivative of -4540353*p**3*u**3 + 10*p**2*u**3 + 9*p**2*u - 4090*p*u**3 wrt p?
-27242118*u**3
Find the third derivative of 469050*y**3 - 2*y**2 + 2944194*y wrt y.
2814300
What is the derivative of -5305343*a**4 + 13436263 wrt a?
-21221372*a**3
Differentiate -432695761*b + 128283123.
-432695761
Find the first derivative of -984964*q*y**2 + 7*y**2 - 2*y - 53463 wrt q.
-984964*y**2
Find the third derivative of 5*n**6 - 60720*n**3 - 26927*n**2 + 462.
600*n**3 - 364320
What is the first derivative of -160625952*b**4 - 44366665 wrt b?
-642503808*b**3
Differentiate -371985935*b**3 - 46054521 wrt b.
-1115957805*b**2
Find the third derivative of -423*m**5 - 2598*m**4 + 2*m**3 - 114317835*m**2 wrt m.
-25380*m**2 - 62352*m + 12
Find the second derivative of 41*b**4 - b**3 - 53177*b**2 - 157810268*b.
492*b**2 - 6*b - 106354
Find the third derivative of -4073399*u**4 - 3*u**2 + 1150243 wrt u.
-97761576*u
What is the second derivative of 17*o**4 + 2*o**3 + 197210*o**2 + 1472*o + 3144?
204*o**2 + 12*o + 394420
What is the third derivative of 4529956*a**5 + 2*a**4 + a**3 + a**2 - 92342314 wrt a?
271797360*a**2 + 48*a + 6
Find the first derivative of 10734390*n**2 - n - 361526255.
21468780*n - 1
Find the third derivative of 8864984*z**3 - 7*z**2 - 246805*z - 1 wrt z.
53189904
What is the second derivative of -32*r**3 + 652330*r**2 - 269678457*r wrt r?
-192*r + 1304660
Differentiate 23478*p*r*s + 6437*p*r - 1601*p*s + 18*p + 1087*s wrt r.
23478*p*s + 6437*p
What is the second derivative of 866*h**4 - 5703*h**2 - 15529172*h?
10392*h**2 - 11406
Find the first derivative of 243*n*p*v + 9*n*p + 18786*n + 33824*p*v + 115*p wrt n.
243*p*v + 9*p + 18786
What is the first derivative of 1497405*n**3 + 82*n**2 + 412945887 wrt n?
4492215*n**2 + 164*n
What is the third derivative of -d**3*p**3 + 250*d**3*p**2 - 7112*d**3*p - d**2*p**3 - 11*d*p**3 - 681*p**3 wrt p?
-6*d**3 - 6*d**2 - 66*d - 4086
What is the second derivative of -2*j**2*z - 285126*j**2 + j + 1609386*z wrt j?
-4*z - 570252
Find the first derivative of 4*h**4 - 1083848*h**3 - 2*h**2 + 9054907 wrt h.
16*h**3 - 3251544*h**2 - 4*h
What is the second derivative of 13*l*p**3 - 98779*l*p**2 + 15*l*p - 89*l - 48*p**3 - p**2 + 40873*p wrt p?
78*l*p - 197558*l - 288*p - 2
What is the third derivative of -49974176*t**4*z + 6*t**2*z - 1648*t**2 + 40*t*z - 3*t wrt t?
-1199380224*t*z
What is the second derivative of 1842071*j**3 + 1137702*j?
11052426*j
What is the second derivative of -31389941*h**2*r**2 + 19091*h**2 + 452*h*r wrt r?
-62779882*h**2
What is the second derivative of 21210682*q*t**2 + 6*q*t + 2*q + 207*t + 2503 wrt t?
42421364*q
What is the third derivative of -17471564*i**2*y**6 - 140375*i**2*y + 5*i**2 + 2*i*y**2 + y**2 - 2*y wrt y?
-2096587680*i**2*y**3
Find the second derivative of -3*a**2*s*t - 29943*a**2*t + 34*a**2 - 55*a*s + 29*a*t - a - 542*s*t + 7*s - 4*t + 1 wrt a.
-6*s*t - 59886*t + 68
Find the third derivative of 12*x*z**4 + 171*x*z**2 + 36335*z**4 - 6*z**2 + 1123*z wrt z.
288*x*z + 872040*z
What is the third derivative of 751*v**6 - 23716*v**5 - 126*v**2 - 1258170 wrt v?
90120*v**3 - 1422960*v**2
What is the first derivative of 1073*d**2 - 1946*d - 11737930?
2146*d - 1946
What is the derivative of -349459666*a + 60875273 wrt a?
-349459666
What is the second derivative of 150309632*p**2 - 364843836*p?
300619264
Find the second derivative of 103294*v**4 + 40*v**2 + 42024366*v wrt v.
1239528*v**2 + 80
Find the second derivative of 195816412*j**2*y**2 + 2*j*y**2 + 4668525*j*y + 2*j + 7*y**2 - 2 wrt j.
391632824*y**2
What is the third derivative of -328639493*o**5 - 2*o**2 - 54*o - 13278?
-19718369580*o**2
Find the third derivative of -5568161*m**5 + 2*m**3 + 2*m**2 + 6917590*m wrt m.
-334089660*m**2 + 12
Find the second derivative of 26*b**3*d**2 - b**3 - 93*b**2*d**2 - 110*b**2*d - 107103*b*d - 16165*d**2 + 1 wrt d.
52*b**3 - 186*b**2 - 32330
What is the second derivative of 2*a**4 - 2*a**3 - 74102*a**2 - 1061062*a + 2?
24*a**2 - 12*a - 148204
What is the third derivative of 10916*i**3*s**2 - 28*i**3 + 4*i**2*s**2 - 15*i**2*s + 5*i**2 + 6*i + 703*s wrt i?
65496*s**2 - 168
What is the second derivative of -3608*q**3 - 6286*q**2 - 7*q - 1258379?
-21648*q - 12572
Find the second derivative of 435840888*w**2 - 74694501*w.
871681776
What is the derivative of -51072943*r**4 + 29803101 wrt r?
-204291772*r**3
What is the derivative of -11*c*l**2 + 15*c*l - 104329588*c - 4562*l**2 + 14*l wrt l?
-22*c*l + 15*c - 9124*l + 14
Find the second derivative of 74*a*o**2*r - a*o - 2653*a*r**3 + 111744*o**2*r**3 + 6*o*r**3 - 19*o wrt o.
148*a*r + 223488*r**3
Find the first derivative of -21*s**4 - 29*s**3 - 16*s**2 - 6945218.
-84*s**3 - 87*s**2 - 32*s
What is the third derivative of -9678*k*m**3 + 2*k*m**2 - k*m - 9*k - 1668*m**3 - 2521*m**2 + 18*m wrt m?
-58068*k - 10008
Differentiate -137*j**4 - 16118*j - 12666888 wrt j.
-548*j**3 - 16118
What is the second derivative of -13046895*c**2*z**3 - 579*c*z**2 + 2*c*z + 180*z**3 - 2 wrt c?
-26093790*z**3
Differentiate 769642561*a**4 - 595687113 wrt a.
3078570244*a**3
What is the third derivative of 52086156*d**4*z - 218*d**2*z + d**2 - 10*d*z + 2*d - 37*z + 1 wrt d?
1250067744*d*z
What is the third derivative of 39*r**6 - 165*r**5 + 26*r**4 - 101*r**2 + 2*r - 2379?
4680*r**3 - 9900*r**2 + 624*r
What is the second derivative of 53162*a**4 + 15*a**3 + 2*a**2 + 51020010*a wrt a?
637944*a**2 + 90*a + 4
Differentiate -2*b**2 - 89961318*b - 228244102 with respect to b.
-4*b - 89961318
What is the second derivative of -5742454*n**4 - 110219*n + 11?
-68909448*n**2
What is the second derivative of g**2*h**2 - 276*g**2 - g*h**3 + 879132*g*h**2 - 2*g*h + 32*g + 2*h + 79 wrt h?
2*g**2 - 6*g*h + 1758264*g
Find the second derivative of 33977670*y**5 - y + 8281115.
679553400*y**3
Find the first derivative of -40130868*j**4 + 37621533 wrt j.
-160523472*j**3
Find the third derivative of -178*l*x**3 + 2*l*x**2 + 2162*l*x - 16*l - 25303*x**3 + x**2 + 3*x - 4 wrt x.
-1068*l - 151818
Find the first derivative of -4913*z**3 - 1165*z + 335048648 wrt z.
-14739*z**2 - 1165
What is the third derivative of -218860*b**3*h**3 - 740*b**3*h**2 - 9*b**3*h - 104*b*h**2 + h**3 wrt h?
-1313160*b**3 + 6
What is the third derivative of 1992233*a**2*y**3 - 2*a**2*y**2 - 2*a**2*y + 5*a**2 + 3368*a + 3*y**3 - 1 wrt y?
11953398*a**2 + 18
What is the first derivative of 2*k**4 - 4*k**3 - 1496313*k**2 - 38085411?
8*k**3 - 12*k**2 - 2992626*k
What is the first derivative of -2118*s**3 - 9476*s**2 + 9093806 wrt s?
-6354*s**2 - 18952*s
What is the third derivative of 9207805*s**6 - s**5 - 1109159*s**2 wrt s?
1104936600*s**3 - 60*s**2
What is the third derivative of -44*h**3*i + 3048*h**3*o - 257*h**3 - 195410*h**2*i*o + 591*h**2*o + 2*o wrt h?
-264*i + 18288*o - 1542
Find the second derivative of 14246545*f**2 + 663912*f - 4.
28493090
What is the second derivative of 327712794*i**2 - 268583706*i wrt i?
655425588
Find the second derivative of -7537355*x**4 + 48*x - 3360.
-90448260*x**2
Differentiate 16622*m**4 - 276*m**2*u - 5914476*u + 1 with respect to m.
66488*m**3 - 552*m*u
Find the third derivative of -216465*x**3*z**3 + 3*x**3*z**2 + 11*x**2*z**5 - 18520936*x**2*z**2 wrt z.
-1298790*x**3 + 660*x**2*z**2
What is the first derivative of 110840*a**4 + 3*a**3 - 97426 wrt a?
443360*a**3 + 9*a**2
Find the second derivative of 257808063*b**3 + 161352872*b.
1546848378*b
Find the second derivative of 26230585*y**2 + 1120103*y wrt y.
52461170
What i | {
"pile_set_name": "DM Mathematics"
} |
- 3*t + 20, 2*t = 3*i - 0*i + 7. Let y(o) = 2 + 2*o**2 - 1 - i. Calculate y(1).
2
Let p(t) = 5*t**2 - 2*t**2 + 15 - 4*t**2 + 5 + t. Give p(0).
20
Let h(a) = a**3 + 10*a**2 - 11*a - 5. Let g(w) = -2*w**3 + 16*w**2 + w - 19. Let n be g(8). What is h(n)?
-5
Let q(t) = -t**3 - 4*t**2 + 3. Let f(a) = a**2 - a - 4. Suppose -4 = 2*k - k. Let x be f(k). Suppose -3*v - x = v. Give q(v).
3
Let c(g) = -6 + 0*g**3 - 2*g**3 - 2*g + 4*g**2 + 3*g**3. Let m be c(-4). Let n(o) = -m + 0 + 7*o + 1. Calculate n(1).
6
Let r be 3 - (-4)/(-4) - 8. Let w(k) = -k**3 + 9*k**2 - 8*k + 4. Let z be w(8). Let t(m) = -z*m - m - 3 + 7 - m**2 + 1. Give t(r).
-1
Let g(d) = -d**3 - 8*d**2 - 8*d - 2. Let o(h) = h**3 + 8*h**2 + 8*h + 2. Let v(z) = 5*g(z) + 4*o(z). Calculate v(-7).
5
Let c(n) = 4*n + 1. Let o be (-1)/3 - 5/(-15). Suppose -2*h = -o*h - 2. Give c(h).
5
Let a(q) = 2*q + 2. Let i(w) = -1. Let u(d) = 6. Let n(h) = 5*i(h) + u(h). Let l(s) = a(s) - 4*n(s). Calculate l(6).
10
Let i(q) = -q + 4. Let g(p) = p**3 - 9*p**2 - 3*p. Let l be g(8). Let v be 4/(-14) - l/14. Suppose -s + v = 2*s. Give i(s).
2
Let j(s) = -s**2 + 3*s + 1. Let y(g) = -g - 5. Let p be y(-8). Determine j(p).
1
Let d = -5 - -7. Let z be (4 - -3) + d*-1. Let u(t) = 0*t - 4*t - 4*t**2 + 2*t**3 - t**3 - 2. Calculate u(z).
3
Let u(q) = -3*q + 4*q**2 - 11*q**3 + 10*q**3 + 0*q**2 + 3. Suppose 2*i - 4*h - 12 - 2 = 0, 0 = 2*i + 4*h + 2. Calculate u(i).
3
Suppose -5*s = -u - 31, 0*u = 3*s - u - 17. Let q(j) = -j**2 - j + 13. Let w be q(0). Let o = s - w. Let p(n) = n**2 + 5*n - 3. Give p(o).
3
Let u(v) be the third derivative of v**6/120 - v**5/15 + v**4/6 + 5*v**3/6 + 36*v**2. What is u(4)?
21
Let a(j) be the second derivative of -j**4/12 - 4*j**3/3 - 7*j**2/2 - 42*j. Give a(-5).
8
Suppose -5*k + 17 = -4*o, 0 + 11 = -5*o - 4*k. Let j(f) = -538 + 4*f - 544 - 3*f + 1084. Determine j(o).
-1
Let a(x) = -2*x - 1. Suppose -2 = 3*d - d. Determine a(d).
1
Let z(q) = q**3 + 4*q**2 + q - 2. Let n be z(-3). Let m(b) = b + b - n*b - b. Let k = -2 + 0. Calculate m(k).
6
Let v(z) = -2*z**2 + 5*z - 4. Let f(m) = m**2 - 4*m + 4. Let s(d) = -3*f(d) - 2*v(d). Give s(-4).
4
Let y(l) = -l**3 - 11*l**2 - 9*l + 11. Let d(v) = 2*v**3 - 2*v**2 - 5*v + 4. Let f be d(-2). Calculate y(f).
1
Let o be (0 - (-4 + 3))*1. Let v(l) = 33*l**2 - 5*l - 11. Let u(n) = 16*n**2 - 2*n - 5. Let a(j) = -9*u(j) + 4*v(j). Calculate a(o).
-13
Let s(n) = 6*n**2 + 2*n - 1. Let p(o) = -6*o**2 - o + 1. Let q(r) = 3*p(r) + 2*s(r). Let y(u) = u**3 + 5*u**2 - 1. Let f be y(-5). Calculate q(f).
-6
Let w(y) = -3*y - 1. Let h(l) = 6*l + 3. Let i(c) = 2*h(c) + 5*w(c). What is i(3)?
-8
Let d(z) = 4*z + 1. Suppose -4*j - 4*o = -244, 2*o + 10 = -0*o. Suppose -5*c + 5*y + 60 = 0, 3*y + j = c + 4*c. Let s be 1/3 - 35/c. Calculate d(s).
-7
Let h(f) be the first derivative of f**4/4 + 2*f**3 + 2*f**2 - 3*f - 1. Suppose -3*z + q + 0*q = 16, 3*z = -q - 14. What is h(z)?
2
Let o(v) be the first derivative of v**2 - 2*v - 7. Let x = -7 + 11. Suppose -q + 6 = -x*q. Calculate o(q).
-6
Let h(w) = -w**2 + 5*w. Suppose -o = 2*x - 7, -3*x = -x - 3*o - 27. Give h(x).
-6
Let q = -47 - -50. Let n(c) = 2*c + 2. Calculate n(q).
8
Let c(l) = l**2 + 5*l - 8. Let y = 116 + -122. Calculate c(y).
-2
Suppose -3*x - 12 - 1 = 2*v, 2*x + 14 = -2*v. Let r(k) = -6 + k**2 - 1 + 0*k**2 + 7*k. Let i be r(v). Let p(c) = -8*c**3 + c**2 - 1. What is p(i)?
-8
Suppose -2*g = 2*d - d - 7, 2*g - d - 1 = 0. Let m(o) = -3 + 0*o - g*o**2 - 3*o + o**2. Give m(-3).
-3
Let c be -7 + 0 + 3/3. Let a(z) = -z**2 - 6*z - 3. Give a(c).
-3
Let k be (-6)/(-24) + 27/4. Let h = k - 12. Let s(x) = -x**3 - 5*x**2 - x - 3. Calculate s(h).
2
Let x(o) = o - 2. Let u be ((-12)/8)/((-9)/12). Suppose -u*v - 17 = r, -6*v - 5 = -v - 5*r. Determine x(v).
-8
Let a(z) be the third derivative of -z**6/120 - z**5/10 - z**4/24 - 2*z**3/3 + z**2. Calculate a(-6).
2
Suppose 78 = 2*n + 6. Suppose 2*c - 3*w + n = 6, 3*c + 4*w = -11. Let b(d) = -d - 6. Let m be b(c). Let v(u) = u**2 - 3*u + 3. What is v(m)?
3
Suppose -m = 5*q - 5*m - 21, 0 = -q - 5*m - 19. Let h be 2/5*(4 + q). Let i(p) = 3*p + 2 + p**2 - 1 - p**3 - 4. Give i(h).
-1
Suppose 6*s + 0 = 108. Let x(n) = -1 - 18*n + 37*n - s*n + 6. Suppose 2*f = 3*f. Give x(f).
5
Let u(a) = -a**3 - 5*a**2 + 6. Let f be (-46)/8 + 21/28. Determine u(f).
6
Let s = 1 + 1. Let q(n) = 1 - 3*n**3 + 3*n**2 + 9*n**3 - 4*n**s. Give q(-1).
-6
Suppose 2*k - 18 = 4*b, 4*b = -k - k - 22. Let p(d) = -d**3 - 4*d**2 + 7*d + 7. What is p(b)?
-3
Let d(r) = 7*r + 6. Let j(k) be the third derivative of -5*k**4/6 - 19*k**3/6 + k**2. Let q(i) = -17*d(i) - 6*j(i). Give q(-6).
6
Let d(f) be the second derivative of f**6/720 - f**5/40 - 5*f**4/12 - 8*f. Let h(m) be the third derivative of d(m). Determine h(6).
3
Let y = -9 - -12. Suppose y*t = -3*a + 21, -5*t + a - 6 = -17. Let o(w) = 2*w + 2. Give o(t).
8
Let q(o) = 3*o**2 + 60*o + 2. Let b be q(-20). Let c(d) = 4*d**3 - 8*d**2 + 1. Let k(g) = -5*g**3 + 9*g**2 + g - 2. Let z(s) = 4*c(s) + 3*k(s). What is z(b)?
-8
Let h(k) = -3*k**2 - k - 2*k**2 + 5*k**2 + 4*k**2. Calculate h(-1).
5
Suppose -t + 5*t + 12 = 0. Let s(v) = -3*v + 1. Determine s(t).
10
Suppose 3*p + p + 17 = 3*d, -d = -5*p - 24. Let j(b) = 4*b**2 + 16. Let i(y) = -y**2 - 5. Let r(m) = 16*i(m) + 5*j(m). What is r(d)?
4
Let n be (10 - (-1 - 0)) + 3. Let l = n + 4. Suppose -4*s - 10 - l = 3*p, -3*s = 5*p + 32. Let y(w) = -w**3 - 3*w**2 + w - 3. Determine y(p).
9
Let m(w) be the first derivative of -w**7/840 + w**6/90 + w**4/24 - 5*w**3/3 - 4. Let c(l) be the third derivative of m(l). What is c(4)?
1
Let w = 1 + -2. Let l be w/2 + (-3)/(-2). Let g(n) be the third derivative of -5*n**4/24 - n**3/6 - 2*n**2. Calculate g(l).
-6
Let z(b) = -b**2 - 26 + 8 + 16 - b. Let d = 0 + 0. Give z(d).
-2
Let g be -2 + (-8)/(-12) + (-18)/27. Let x(c) = c**2 + c + 2. Give x(g).
4
Let v(j) = j + 11. Suppose -1 = -3*s - 22. Give v(s).
4
Let s(i) be the third derivative of i**5/60 + i**4/3 + 7*i**3/6 - i**2. Suppose 7*d = -147 + 105. Determine s(d).
-5
Let a(f) be the second derivative of -f**4/3 - f**3/6 - f**2/2 - f. Suppose -2*k - 3*y = -5*k - 12, 0 = -3*y + 12. Let d = -1 + k. Determine a(d).
-4
Let i(d) = d - 4. Let z be i(4). Suppose -5*y - 5 + 25 = z. Let r(b) = -2 - 1 + y + 2*b + 2 - b**2. Give r(-2).
-5
Suppose -7*s + 13*s = 12. Let w(n) = -5*n + 1. Give w(s).
-9
Let t(b) be the second derivative of b**5/20 - 7*b**4/12 + 5*b**2/2 + 39*b. Determine t(7).
5
Let g be 56/20 + 2/10. Let n(d) be the second derivative of d**2 + 0 + d - 1/12*d**4 + 1/6*d**3. Determine n(g).
-4
Let h(v) = -v**3 + 2*v**2 + 3*v - 2. Let b be h(3). Let m(p) = 2*p**3 + 2*p. Give m(b).
-20
Let n(k) = 21*k**3 + 1 + 2*k**2 - 2*k + 10*k**3 - 17*k**3. Calculate n(1).
15
Let x(n) = -8 - 2*n**2 - 4*n**2 - 3*n**2 + n**3 + 4 + 8*n. What is x(8)?
-4
Suppose 3*c + 11 = 4*l, 3*l + 6*c = 5*c + 18. Let u(h) = -h**3 + 4*h**2 + h - 3. Calculate u(l).
-23
Let l(a) = a - 4. Let u be (-2 - -10) + (-2 - 0). Suppose q = u*q. Calculate l(q).
-4
Let w(m) = 23*m**2 - m - 1. Let h = -34 - -33. What is w(h)?
23
Suppose 4*r - 24 = -4*b, r + 2*r + 2*b - 16 = 0. Let x = r + -4. Let m(l) = l**3 - 18*l**2 - 3 + 19*l**2 + l - 2*l**3. Determine m(x).
-3
Let b(t) = -t**3 + 8*t**2 - 7*t + 4. Let c be b(7). Suppose c = -4*q + 36. Suppose -4*s = -2*s - q. Let o(n) = -n**3 + 5*n**2 - 2*n - 4. Give o(s).
4
Let u(h) be the third derivative of h**6/120 + h**5/10 - h**4/24 - h**3/3 - 4*h**2. Calculate u(-6).
4
Let t(y) = -y**3 - 6*y**2 + 6*y - 7. Let v(k) = k**2 - 5*k - 1. Let g be v(3). Determine t(g).
0
Let t(l) = 4*l**2 - 25*l + 2. Let x(b) = b**2 - 8*b + 1. Let c(z) = 2*t(z) - 7*x(z). What is c(-5)?
-8
Let j(c) be the first derivative of -c**2/2 + c - 3. Let k(o) = o**2 - 12*o + 8. Let w be k(11). Give j(w).
4
Let n(x) = -2*x + 5. Let k be -2*(-4 - -3) + 38. Suppose 4*w + 8 = k. Let s be 24/(-8)*w/(-6). Determine n(s).
-3
Let u(t) = -4*t**2 - 4*t**3 + 3*t**3 - t**3 + t**3. Determine u(-5).
25
Let x(f) = -f + 3. Let b(h) = 2*h - 55. Let j be b(30). Give x(j).
-2
Let t(x) = 0*x**2 - 5*x + x**2 + 0*x + 1. What is t(5)?
1
Suppose 3*z - 3*g + 6 = -3, 3 = -z - 3*g. Let c(t) = t**2 + 8*t + 3. Give c(z).
-12
Let r(m) = -7*m**2 - m. Suppose 3 = -3*k + 6. Determine r(k).
-8
Let j(g) be the third deri | {
"pile_set_name": "DM Mathematics"
} |
u(f) be the first derivative of -f**3/3 + 3*f**2 + 7*f - 137. Let m = 11 + -5. Let t be 34/6 - (-2)/m. Give u(t).
7
Let j = -27 + 44. Suppose -j = -m - 14. Let h(s) = 2*s - 4. What is h(m)?
2
Let x(m) = -451*m - 3*m**2 + 450*m + 4*m**2 - 12*m**2. What is x(-1)?
-10
Let p(s) be the second derivative of -s**5/20 + 3*s**4/4 - 4*s**3/3 - 3*s**2/2 + 92*s. Calculate p(8).
-3
Let m(l) be the third derivative of -3*l**4/4 + l**3/6 + 2*l**2 + 95*l. Give m(-1).
19
Let h(m) = -5*m + 6. Let i(u) = 4*u - 7. Let k(x) = -x**3 + 5*x**2 + 5*x + 12. Let j be k(6). Let p(g) = j*i(g) + 5*h(g). What is p(-10)?
-2
Suppose 126 = 253*l - 239*l. Let p(o) = -3*o + 2. Calculate p(l).
-25
Let q(m) = -m**2 + 6*m + 2. Let i(s) = s**2 - 17*s + 21. Let h = 7 - -10. Let z be i(h). Suppose 0*l = 3*l - z. Calculate q(l).
-5
Let o(v) = -10*v + 77. Let s(c) = -7*c + 76. Let r(d) = -2*o(d) + 3*s(d). What is r(0)?
74
Let w(b) be the second derivative of -b**3/3 + b**2/2 + b. Suppose -674 + 844 = -34*d. Give w(d).
11
Let f(a) = -24*a**3 - 12*a**2 + 5 + 13*a**2 + 5*a + 27*a**3. What is f(-2)?
-25
Let f(q) = -27 - 58*q**2 + 15*q**2 + 44*q**2 - 9*q. What is f(13)?
25
Let b(h) be the third derivative of -h**5/60 + 7*h**4/12 - 3*h**3/2 - 98*h**2 - 1. What is b(10)?
31
Let h(l) = -37*l**3 - 5*l**2 - 41*l**3 + 26 + 79*l**3 - 24. Calculate h(2).
-10
Suppose 9 = -2*p - p - 3*f, -4*f = 2*p. Let q(t) = t**2 + 2*t - 9. Give q(p).
15
Let t = -143 - -30. Let i = t + 119. Let u(l) = l**3 - 5*l**2 - 5*l - 8. Calculate u(i).
-2
Let b(g) = -2*g**2 - 8*g + 5. Let z be 12*(6 - (-26)/(-4)). Determine b(z).
-19
Let p(t) = t + 1 + 2 - 5. Let b be 184/(-32) - ((-15)/(-12) + -2). Calculate p(b).
-7
Let j(r) be the second derivative of r**3/6 - 37*r. Let u(o) = 5*o - 8. Let d be u(3). Determine j(d).
7
Let d(w) = -w + 5. Let k be d(9). Let p = 3 + k. Let v(o) = o + 1 + o**3 + 0*o**3 - 2*o**3. Calculate v(p).
1
Let s(w) = w**3 + w + 7. Let j(t) = t**3 + 7*t**2 + 9*t - 12. Let r be j(-4). Determine s(r).
7
Let r(s) be the first derivative of 2*s**3/3 + 3*s**2 + 4*s - 221. Determine r(-3).
4
Let c(m) = m**2 - 3*m - 3. Suppose -5*b - 3*p = -8 + 1, -5 = 5*p. Let i(d) = -d**3 + 4*d**2 - d + 2. Let f be i(b). Let w be f/3 + (-2)/(-6). What is c(w)?
-3
Suppose 4*k - 12 = 2*m, -179*k - 5*m = -178*k - 3. Let r(t) = -6 + 1 + 3 + t. Give r(k).
1
Let d(n) = -n**3 + n**2 + 14*n - 6. Let l be d(4). Let a(i) = -2*i**2 + 2*i - 2. What is a(l)?
-6
Let f(z) = 4*z**3 + 9*z**2 + 10*z + 10. Let d(r) = 5*r**3 + 10*r**2 + 11*r + 11. Let q(i) = -3*d(i) + 4*f(i). Let y = 141 + -146. Give q(y).
-3
Let a(q) be the second derivative of q**5/60 + q**4/24 - 5*q**2 - 48*q. Let z(d) be the first derivative of a(d). Determine z(0).
0
Let k(g) = 4 + 25*g**3 - g - 2*g**2 + 17*g**3 + 19*g**3 - 63*g**3. Determine k(3).
-71
Let z(g) = 9*g**2 + 12*g - 2. Let u(m) = 4*m**2 + 6*m - 1. Let c(t) = 7*u(t) - 3*z(t). Let n be c(-7). Let p(d) = -d**2 + 5*d + 1. Calculate p(n).
-5
Let z(y) = y**3 + 4*y**2 - 2*y + 2. Let x = 407 + -411. Determine z(x).
10
Suppose -131*j = -154*j. Let x(t) be the third derivative of j*t + 0 + 6*t**2 + 5/6*t**3 - 1/24*t**4. What is x(0)?
5
Let y(i) = i**2 - 5*i + 1. Suppose 6*x = 3*x + 12. Suppose 8*j - 24 = x*j. What is y(j)?
7
Let z(a) = 78 + 21*a - 26*a - 164 + 77. What is z(-8)?
31
Let n(r) = -7*r + 3. Let b be n(2). Let l = 15 + b. Let h(g) = g**2 - 2 - g**2 + g**2 - 2*g. Calculate h(l).
6
Let z(m) = 3. Let j(i) = -i - 27. Let x(f) = -2*j(f) - 18*z(f). What is x(10)?
20
Let f(c) = 77*c + 1 - 36*c - 40*c. Give f(2).
3
Suppose f + 14 = 12, -3*v - 5*f = -8. Let h(w) = -6*w**2 + 12*w - 2. Let b(o) = 5*o**2 - 11*o + 2. Let u(t) = -5*b(t) - 4*h(t). Give u(v).
4
Suppose -13 = -7*x - 34. Let v(b) = 7*b + 7. Let p(q) = 20*q + 20. Let k(i) = 6*p(i) - 17*v(i). Give k(x).
-2
Suppose -3*x = 2*w - 11 - 1, 20 = 4*w + 4*x. Let o(f) = 35*f + f**w - 28*f - 3 - 1 + 7*f**2. Let y be 5/(2/(-2)) + -1. Determine o(y).
-10
Let j(v) = -3*v. Suppose -x = 5 + 4. Let s = x - 6. Let u = s - -17. Give j(u).
-6
Let k(a) be the third derivative of a**6/120 - a**5/5 + 13*a**4/24 - 19*a**3/6 + 5*a**2 + 59*a. Give k(11).
3
Let l(z) be the third derivative of z**7/840 - z**6/60 + z**5/60 - 7*z**4/24 - 11*z**3/6 + 5*z**2. Let i(y) be the first derivative of l(y). Give i(6).
5
Let u(y) = -2*y**2 + 2*y + 6. Let q(i) = i**3 + 13*i**2 - 12*i + 24. Let o be q(-14). What is u(o)?
-34
Let z be (-8)/12*(1 - -5). Let x(d) be the second derivative of -5*d**3/6 - 5*d + 18. Give x(z).
20
Let n(t) = -t**3 + 4*t**2 + 5*t - 6. Let m be (8/12)/(3/9). Suppose 0 = 2*h - m*v - 42, 2*h + v - 63 = -9. Suppose -5*r = -0*r - h. What is n(r)?
-6
Let h(y) = -y**3 - 13*y**2 + 16*y + 31. Let z be h(-14). Let b(v) be the first derivative of v**3/3 - 3*v**2/2 - 3*v + 2. Give b(z).
-3
Let u be 6*-4*(-1)/8. Let w(r) = -3 + 5 - u*r - r + 5*r. Give w(6).
8
Let u(y) = -28*y - 44. Let v(l) = -5*l - 9. Let x(o) = -2*u(o) + 11*v(o). Give x(8).
-3
Let k(i) be the first derivative of i**4/4 - 4*i**3/3 + 3*i**2/2 - 5*i - 1. Let j = 2072 + -2068. Determine k(j).
7
Let b(i) be the third derivative of 0 + 0*i - 45*i**2 - 1/60*i**5 - 1/8*i**4 - 1/6*i**3. What is b(-2)?
1
Let y(l) = 4*l - 4. Let r(t) = t**2 - 10*t - 23. Let o be r(17). Suppose 7*p - 3*p = -o. Let m be p/32*(-2 + -2). Give y(m).
8
Let k(f) be the third derivative of -f**4/24 - f**3/3 - f**2. Suppose -4*j - a + 20 = -3*a, -3*j + 6 = 3*a. Determine k(j).
-6
Let y(b) = -b**2 - 17*b - 21. Let g be y(-6). Suppose -3*s + g = 5*h, -h = h - 3*s - 18. Let v(l) = -l**2 + 8*l - 3. Give v(h).
-12
Let p(f) = 6*f**3 - f**2 - 3*f + 3. Let h(d) = 2*d**3 - 2*d + 1. Let x(v) = 2*h(v) - p(v). Determine x(-3).
65
Let q(b) = 5*b. Let d = 30 - 16. Let z = d + -10. Suppose i = -i - z. What is q(i)?
-10
Let l(k) = k**3 - 2*k**2 - k - 1. Suppose 0*c = 5*c. Suppose 2*i = -c*i. Suppose 4 = 2*v - i. What is l(v)?
-3
Let g = -49 - -84. Let r(j) = -9 - 18 + j + g. What is r(-4)?
4
Let u(c) = 3*c - 12. Let i be (9/(-6))/(252/80 + -3). Let h be -4*(i/(-5) - 4). What is u(h)?
12
Let q(t) = t**2 + 5*t + 1. Let j = 9 + -4. Suppose -j*b + 0*h = 4*h, 4*b + 5*h + 9 = 0. Suppose -4*a + 1 = -3*d - 0, a = b*d + 10. Determine q(d).
-5
Let a(g) = -5*g + 46 - 27 - 64. Determine a(-10).
5
Let o(q) be the second derivative of q**3/2 + 7*q**2/2 - 787*q. What is o(4)?
19
Let j(u) be the third derivative of 1/6*u**4 - 11*u**2 - 1/3*u**3 + 0 + 0*u. Calculate j(2).
6
Suppose -42 = 6*s - 12. Let v(d) = d**2 + 5*d - 12. Calculate v(s).
-12
Let f(k) = 13*k - 14. Let g(s) = 6*s - 7. Let x(v) = 4*f(v) - 9*g(v). Suppose 4*r + 4*n = 19 - 7, 0 = -3*r + 5*n + 33. Give x(r).
-5
Let g(u) = -u**3 + 5*u**2 - 2*u - 4. Let y(t) = 3*t**3 + t**2 - 5*t + 3. Let d be y(2). Suppose d = -f + 8*f. Give g(f).
8
Suppose 1586 - 1622 = 12*d. Let f(q) = q**3 + 4*q**2 + 11*q + 21. What is f(d)?
-3
Let j = -84 + 102. Let y be -2*1*(-14)/4. Suppose j = -10*k + y*k. Let l(z) = -z**3 - 5*z**2 + 7*z + 7. Give l(k).
1
Let f(a) be the third derivative of 11*a**4/24 - a**3/6 + 225*a**2 + 2. Calculate f(-1).
-12
Let h = 6 + -3. Let a be (3/9)/(1/h). Let i(c) = -371 - c - 374 + 7*c**2 + 745. Give i(a).
6
Let i be (2/4)/(122/(-1464)). Let o(t) = -t**3 - 6*t**2 - 6. Determine o(i).
-6
Let p be (3 - 3)*(-5)/((-30)/(-3)). Let a(u) = 27*u**2 + 5 + 0*u - 26*u**2 + u. Determine a(p).
5
Let m(y) = -4*y - 11. Suppose -2*t = -4*t + n + 5, 4*t + 2*n - 22 = 0. Give m(t).
-27
Let v = -85 - -86. Let k(d) = 9*d**3 - 3*d**2 - d - 2. Let t(z) = z**3 - 2*z**3 + z + 3 - 2 + z**2. Let f(u) = -k(u) - 2*t(u). What is f(v)?
-7
Let u(r) = r**2 + 9*r + 1. Let n be u(-10). Let z(k) = n*k - 8*k - 2*k. Determine z(3).
3
Let h(f) = 15*f - 19. Let l(x) = -10*x + 13. Let d(r) = -5*h(r) - 7*l(r). Suppose -3*t = -z - 8, 10*t + 4 = 11*t + z. Calculate d(t).
-11
Suppose 5*k + 0*k = 4*l + 25, 0 = -2*k + 4*l + 10. Let p(m) = -m**2 + 6*m + 1. What is p(k)?
6
Suppose 4*f = 291*t - 292*t, 4*f = -3*t. Let w(j) be the third derivative of f - 4*j**2 + 0*j - 1/3*j**3 + 1/24*j**4. Calculate w(-7).
-9
Let m be (-2)/(2/(-3))*(-4)/(-4). Let w(u) = -15 + m + u + 0*u. Calculate w(11).
-1
Let t be ((-4)/((-32)/30))/((-1)/(-4)). Suppose 3*g + t = -u + 2, 3*u - 33 = 3*g. Let a(j) = 3*j + 7. What is a(g)?
-11
Let m(x) = 816*x + 3*x**2 - 1642*x + 1 + 810*x. Determine m(6 | {
"pile_set_name": "DM Mathematics"
} |
+ 2)*-6. Suppose -3*b = 4 - 13. Suppose 4*h - 15 = -5*w + b, 0 = 5*w - 3*h - 4. Solve -j*z = -z + w for z.
-1
Suppose -3*k = -5*w - 20, 0 = k - 2*k + 5*w - 10. Let v = 15 - k. Solve -6*c + c + 5 = v for c.
1
Let v = -218 - -224. Solve 5*o = 8*o - v for o.
2
Let y(q) = 3*q - q + 3 - q. Let n be y(-3). Let u be 2/8*9*(-16)/(-12). Solve n = u*r + r + 8 for r.
-2
Let u = 1487 - 1397. Solve u = 2*o + 88 for o.
1
Let b = -52 + 52. Suppose -3 = -y - b. Solve -2*q - y = 3 for q.
-3
Let n be 5/(-2 + (-22)/(-10)). Suppose 0 = 2*g + 3*g - n. Suppose 2*l - 6 = 0, 33 = 2*v - 0*v + g*l. Solve -k = 2*k - v for k.
3
Let t(r) = r**2 + 16*r. Let v be t(0). Solve o + v = -2 for o.
-2
Let j be (-2 + 0 + 1)/1. Let s be ((-24)/28)/(j/(-7)). Let x be 3 - 9*(-2)/s. Solve x = 2*n - 3 - 5 for n.
4
Let v be (3 - -4) + 0 + -12 + 14. Solve -v*w - 4*w = -8*w for w.
0
Suppose 0 = -7*l - 5 + 117. Suppose -l = 4*j, 2*z - j = -4*j. Solve -2*p + z*p = 8 for p.
2
Let s be 2 + 2 - (2 - (-4)/(-1)). Suppose -4*l = s*l - 50. Solve -l = 6*y - y for y.
-1
Let b = -1 + 5. Suppose -2*v = -b*l - 8, -1 = 4*l - v + 3. Suppose -3*a + 6 + l = 0. Solve -a*o + 3*o - 2 = 0 for o.
2
Let d = 7 + -5. Suppose 0 = -76*g + 73*g + 12. Solve d*f + 10 = g for f.
-3
Suppose 0 = p - 3*n + 37, 234 = -5*p + n + 63. Suppose 0 = -9*g - 87 - 255. Let m = p - g. Solve -4 = -m*i + 3*i for i.
4
Let u be 3 - 5/(-2)*(-76)/(-10). Solve -u - 8 = 6*w for w.
-5
Let n = 85 - 79. Solve -6*x = 12 + n for x.
-3
Let x = 55 - 52. Suppose -3*g = -5*p + 72, x*p - 3*g - 27 - 21 = 0. Solve 0 = -4*a - 0*a + p for a.
3
Let z(v) be the third derivative of v**4/24 - 19*v**3/6 + 11*v**2. Let d be z(23). Solve -d = s - 2 for s.
-2
Suppose 0 = 4*l + 11*h - 7*h - 120, 5*l - h = 120. Solve -12*i - l - 11 = 0 for i.
-3
Let m(p) = -2*p**3 - 28*p**2 + 29*p - 12. Let d be m(-15). Solve -2*u + d - 9 = 0 for u.
-3
Suppose -6 = 86*f - 84*f. Let n be 2*(-1 + 0) - f. Solve -q + n = 3 for q.
-2
Let w be (-4)/(-8) + 5/(-10). Suppose w = 2*s - 5*s + 30. Suppose -4*r - 3*f + 10 = 2*f, 0 = -2*r + 5*f - s. Solve r*q = -5*q for q.
0
Let b(m) = 7*m**2 + 2*m - 18. Let g(h) = -13*h**2 - 3*h + 37. Let s(y) = 11*b(y) + 6*g(y). Let f be s(7). Solve 0 = -5*k + 2 + f for k.
1
Suppose -857*l - 38 = -859*l. Solve l*x = 22*x for x.
0
Let w(b) = -3*b**3 - b**2 - b - 1. Let v be w(-3). Suppose -v - 38 = -7*l. Suppose -4*p = 4*x - 28, 0 = -p + 3*x + x - 18. Solve -p*s + l = -6*s for s.
-4
Let y(o) = o + 3. Let c be y(-6). Let n be c/6*6 + 14. Solve 0 = 3*r + 2 - n for r.
3
Suppose -5*p - 8 = -3*y + 27, 3*p + 33 = 3*y. Solve -10 = 15*j - y*j for j.
-2
Let z = -30 - -73. Let k = -40 + z. Suppose -3*f = -2*f - 2. Solve -20 = -k*s - f*s for s.
4
Suppose 18 = 3*v + 5*b, 0 = -5*v - b + 2*b + 58. Suppose -v + 3 = -4*m. Solve -3*a = m*a for a.
0
Let l(f) be the second derivative of f**5/20 + 5*f**4/12 - 7*f**3/6 - 3*f**2 - 10*f. Let w be l(-6). Solve w = 4*x + x + 10 for x.
-2
Let p = 36 + -41. Let f(r) = 2*r - 13. Let c be f(11). Let d = c + p. Solve -1 = y - d for y.
3
Suppose -3*b = -6*b + 9. Suppose 0 = b*g + 6 - 30. Suppose 4*o - 16 = -0*v - 2*v, 2*o - 3*v = -g. Solve -x = -2*x - o for x.
-2
Suppose 60 = h + 3*z, 0 = 2*h + 4*z + 82 - 212. Let u = h + -73. Solve -u*i - 10 = 3*i for i.
-2
Let o(h) = -2*h + 32. Let t be o(19). Let m(g) = -2*g - 6. Let j be m(t). Solve -4*w - j = -2*w for w.
-3
Suppose -l - 5*m = -25, m + 2*m = 2*l + 15. Let j(g) = -3*g + 3. Let w be j(l). Solve 5*h = w*h - 4 for h.
-2
Let h(p) = 5*p + 40. Let u be h(0). Let j = -40 + u. Solve j = -2*f + 3*f for f.
0
Suppose -3 = -16*d + 13*d. Solve -d = i - 6 for i.
5
Suppose t = -v + 6, -t + v + 6 = 4. Suppose 4*h = -3*d + 16, -2*h = -3*h + t. Solve d*p + 5 = -p for p.
-5
Let f = 3 - -11. Let a be (-10)/(-35) - (-220)/f. Suppose 0 = 4*d - a. Solve -5*i - d - 1 = 0 for i.
-1
Let d = 20 - 8. Let b = -16005 + 16009. Solve b*k = -0*k + d for k.
3
Let r(t) = -2*t + 15. Let v be r(-13). Let z = v + -39. Solve -4*g + z + 6 = 0 for g.
2
Let c = 71 - 38. Let v = 29 - c. Let m = 0 - v. Solve 5 = m*n + 1 for n.
1
Let g be -1 + (-2 - (-13 + (-4)/4)). Let s be 2 - g/(-3) - (-24)/(-36). Solve 3*j = -2*j + s for j.
1
Suppose -15*i + 10*i + 36 = -3*s, 0 = -i - 5*s + 24. Solve -6*x = -i*x + 15 for x.
5
Let b be -9 + (2 - (5 + -3)). Let u be (1 + -1)/(b/(81/18)). Solve u = -0*j - 4*j + 4 for j.
1
Suppose c + 17*h = 20*h + 21, 3*c - 3*h = 45. Solve -c*k = -7*k + 25 for k.
-5
Suppose 0 = t - 5 + 3. Let j be (416/40)/(t/5). Let a = j - 20. Solve n + a = 3 for n.
-3
Let p(f) = -f**3 - 6*f**2 - 2*f - 7. Let h be p(-6). Suppose -t + 6 = h*t. Solve 0 = 4*r + t + 3 for r.
-1
Suppose 2*n = 4*n + 10. Let b(g) = g**3 + 5*g**2 + 4. Let w be b(n). Suppose 0 = -2*f - f - 2*v + 7, 5 = 3*f + w*v. Solve 0 = -d - 2*d - f for d.
-1
Let u(d) be the first derivative of 4*d**3/3 - d**2/2 - d - 11. Let n be u(-1). Solve 0 - n = t for t.
-4
Let v = -56 + 59. Solve v*k - 2*k - 3 = 0 for k.
3
Suppose 3*l - 4*u + 4 = -0*u, -4*u = -l + 12. Let f = l + 9. Suppose 3*z = f + 8. Solve b = 8 - z for b.
5
Let d(m) be the second derivative of 3*m**3/2 + 67*m**2/2 + 26*m. Let w be d(-7). Solve -4*b + 8 + w = 0 for b.
3
Let z(t) = 2*t**2 + 8*t - 5. Let i be z(1). Solve 13 - i = -8*y for y.
-1
Let i(a) = a**2 + 8*a - 82. Let y be i(-14). Solve -y*f = -0*f - 10 for f.
5
Let b be 51 - (-7 - -7)/(1/(-1)). Let h = b - 49. Solve 2*i - 4 = -h for i.
1
Let s(f) = -f**2 - 18*f + 18. Let j be s(-17). Suppose -2*y + 5 = j. Let g be y/10*4/(-3). Solve -5*k = -g*k for k.
0
Let n = -27 - -28. Let h be 12 - 3 - (n - -2). Suppose 4*k = h + 2. Solve k*r = -2*r + 8 for r.
2
Suppose -3*a + 3*u + 6 = 0, -2*a + u = 3*u - 8. Solve a = -j - 1 for j.
-4
Suppose 0 = -75*w + 77*w - 14. Let a = -7 - -7. Let d = 5 + a. Solve -d - w = 4*u for u.
-3
Suppose 3*p = -p + 8. Suppose -p*r - 3*y = -22, -2*r = -3*r + 3*y - 7. Suppose r = 3*u - 4. Solve -5*t + 4*t = u for t.
-3
Suppose 163*l - 165*l + 4 = 0. Let v(p) = -p**2 + 12*p - 14. Let s be v(10). Solve -5*w = -s*w + l for w.
2
Let o(m) = 74*m - 713. Let a be o(10). Solve -8*b + 76 = -a*b for b.
-4
Suppose 3*v + 2*v = 0. Suppose 5*k - 7 - 79 = -4*n, 5*n - 4*k - 87 = 0. Let z = n + -10. Solve l + 2*l - z = v for l.
3
Suppose o + 2 = -5*z, -o - o - 4 = -5*z. Let m be (-34)/(-12) - o/12. Solve -m*w = -0*w for w.
0
Let s(q) = q**3 + 11*q - 25. Let t be s(2). Solve -9*b = -t*b for b.
0
Let v = -186 - -188. Solve h = v*h for h.
0
Let k(r) = r**2 - 28. Let b be k(8). Let p be 64/36 + 8/b. Suppose -5*u + 8 = -u. Solve -16 = -p*q - u*q for q.
4
Let r(l) be the second derivative of l**5/4 - l**4/6 + l**3/6 - l. Let j(b) = b + 4. Let c be j(-3). Let k be r(c). Solve 15 = -i + k*i for i.
5
Let y be (2 - -86)/(-4)*1/(-2). Solve y*s + 3 = 36 for s.
3
Let r be (5 + -4)*(0/(-2) - -41). Suppose -12*y = -7 - r. Solve 2*u - u = -y for u.
-4
Let z = 7 - 4. Let p be (-2)/(-15) + 22/(-165). Solve -z*v = -p*v for v.
0
Let a be 0 + (2 - 3)*-4. Let i(x) = -6*x + 19. Let c be i(3). Solve 0 = -a*l + 3 + c for l.
1
Let z be (-4)/(-1) + 2/(-2). Let k = 26 - -2. Let h be 9/(-4)*k/(-21). Solve -2*l + z*l = h for l.
3
Let m(c) = c**2 + 15*c - 45. Let z be m(-18). Solve z = -4*k + 1 for k.
-2
Let p(n) = 111*n + 559. Let r be p(-5). Let w = 0 - 0. Solve w = -6*x + 2*x - r for x.
-1
Suppose -2*q - 44 = -5*b + 7, 0 = -b - q + 6. Let f be 16/24*b/(-2). Let p be (3 - (-33)/(-9))*f. Solve 2*d + p*d = 0 for d.
0
Let c be 10/5 + (-2)/(-2). Let p be 2 + (3 - c) - 2. Let j be (0/(-1))/(p - -2). Solve -2*z + j*z = 6 for z.
-3
Let g be 5 - (-4 - (-30)/(-5)). Let b(a) = a + 7. Let k be b(-5). Solve c + g = -k*c for c.
-5
Let m be 2 - 14/4 - (-2)/4. Let c be ((-1)/2)/((-1)/(m - -7)). Solve -c = -q - 6 for q.
-3
Let f = 19 - 5. Let d(r) = r - 4 - 8 + 3 - 4 + 2. Let o be d(f). Solve -o*a + 8 = a for a.
2
Let x = -189 + 195. Solve 3*g = 6*g + x for g.
-2
Let d = -45 + -4. Let n = d - -50. Solve c + n = -1 for c.
-2
Let o = -3 - 20. Let h = -23 - o. Solve 0*f + 2*f - 10 = h for f.
5
Let b = -49 - -25. Let l = -19 - b. Suppose 0 = 3*h - 0*t - l*t + 10, -6 = 4*h - 3*t. Solve -a - a = h for a.
0
Suppose 0 = -5*h + 66 + 84. Suppose 2*n - 7*n = -h. Suppose -2*g = -4*g + n. Solve -g*b + 15 = 3 for b.
4
Let r = -780 + 789. Solve r = 2*b + 7 for b.
1
Suppose 4*i - 4 - 12 = 0, -3*u + 29 = 5*i. | {
"pile_set_name": "DM Mathematics"
} |
*(-6)/(-45)*m. Let h = b + 35. Does 28 divide h?
False
Let i = 3902 + -3302. Is 3 a factor of i?
True
Suppose 288*b = 293*b - 65. Suppose -894 = -16*u + b*u. Does 4 divide u?
False
Let p(q) = q**3 - 7*q**2 + 9*q + 2988. Is p(0) a multiple of 9?
True
Let l be -1 + 2 - (2 - -93). Let i(y) = y**2 + 53*y + 528. Let n be i(-20). Let b = l - n. Does 3 divide b?
False
Is 9 a factor of 2870/(-3)*((-49)/14 - 10)?
True
Suppose -6*j + 19*j - 197296 = -9*j. Is 59 a factor of j?
True
Suppose 0 = -q + 214 - 166. Suppose -4*z - q = -180. Is z a multiple of 10?
False
Suppose -45704 = -10*k + 256576 + 169620. Is k a multiple of 130?
True
Suppose -5*l + 5757 = 2*b, -b + 11589 = 3*b - 5*l. Does 20 divide b?
False
Let a(s) = -4*s**3 - s**2 - 4*s - 4. Let b be a(-1). Suppose 2*c - h + 6*h - 1041 = 0, -b*h + 2574 = 5*c. Does 19 divide c?
True
Let q(f) = 4484*f - 4460. Is 76 a factor of q(7)?
False
Let l = -12684 + 19412. Is 58 a factor of l?
True
Let f(u) be the first derivative of -u**4/4 + 4*u**3/3 + 7*u**2 - 10*u + 16. Is 7 a factor of f(5)?
True
Suppose -2*k - 2*i = -14, 0 = 2*i + 1 - 9. Suppose g = -2*m - 11 - 0, 5*m = -k*g - 31. Does 27 divide ((-36)/(-10))/((14/(-60))/g)?
True
Is 768/(-160)*(-400)/12 a multiple of 3?
False
Suppose -2*l - 20 = -26. Suppose -l*w + 3*b = 7*b + 207, -2*b = 2*w + 136. Let q = w + 219. Is 22 a factor of q?
True
Let n be 15/(5/(25/3)). Let o(k) = -2*k**2 + 51*k + 9. Is 5 a factor of o(n)?
False
Let o = -248 - -257. Suppose o*f - 2020 = 5558. Is 74 a factor of f?
False
Suppose 12*n - 25*n = -21190. Let v = n - 963. Is 29 a factor of v?
True
Let l = 3 - 1. Let w(g) = g**3 + 28*g**2 - 27*g + 63. Let a be w(-29). Suppose -a*u - b = -151, 5*b - 33 = -u + l*b. Is 14 a factor of u?
False
Is (-2)/(-25) + 291552/600 - 8 a multiple of 8?
False
Suppose -31 + 151 = 5*c. Let n be (-80)/c + 4/(-6). Is (-6)/(-27) - n/36*826 a multiple of 23?
True
Let u be -2*15/6 + 8 + 564. Let y = 1548 - u. Does 43 divide y?
False
Let s = 1068 - -948. Is s a multiple of 96?
True
Is 14 + (2786 - (-13 - -1)) a multiple of 74?
True
Suppose 10*w - 1946 - 5234 = 0. Let s = w + -376. Is s a multiple of 19?
True
Is (0 - -98)*40015/302 a multiple of 53?
True
Suppose 5*n - 5*w + w = 1943, 3*n - w - 1163 = 0. Let x = 545 - n. Is 20 a factor of x?
False
Let p(h) = h**3 + 22*h**2 + 29*h + 608. Is p(-16) a multiple of 24?
True
Let c be 507/27 - (-2)/9. Let i = 14 - c. Is 9 a factor of (i - -7)*(-27)/(-6)?
True
Does 79 divide (-29682)/(-2) - (-96 - -85)?
True
Suppose 23 = 3*s + 5*i, 0 = -0*i + 2*i - 2. Let f be 30/4*s*(-92)/(-36). Suppose -f - 184 = -u. Is 29 a factor of u?
False
Let o(l) = 42*l**2 - 18*l - 52. Is o(-12) a multiple of 96?
False
Does 63 divide 40/30 - 828351/(-27)?
True
Suppose 89 = -b - 11*m + 7*m, -2*m - 356 = 4*b. Let r = 280 - b. Is 41 a factor of r?
True
Let f(c) = 36*c**2 - 8*c. Suppose q = s + 5, -s + 13 = -0*s + 5*q. Let j be 4/(-1) - (-1 - s/(-2)). Does 25 divide f(j)?
False
Is (-58368)/(-30) - 14/(-35) a multiple of 15?
False
Suppose 2*b = 25*u - 21*u + 1836, -4*u + 8 = 0. Suppose b = n + 4*i, 3*n + 5*i - 2545 = 200. Is n a multiple of 10?
True
Let j be 142 + -1 - (3 + -3). Let i(b) = -49*b + 31. Let n be i(-2). Let w = j - n. Is w a multiple of 3?
True
Let a(f) = 2*f**2 - 2*f + 3. Let n be a(1). Suppose 0 = -x - n*d + 13, 2*x + 2*d + 7 = 7*d. Is 1/(x/(-2 + 150)) a multiple of 13?
False
Let v(x) = -274*x + 1755. Is v(-25) a multiple of 15?
False
Suppose 3*k + 17384 = o, 3*o - 5*k - 22235 = 29901. Is o a multiple of 80?
False
Let k(m) = 2*m**3 + 9*m**2 - 5*m + 3. Let j be k(-5). Suppose -6*d + 30 = 18. Suppose i - j*v = 25, -d*i + 5*v = -0*i - 52. Is i a multiple of 13?
False
Suppose g = 2*b - 36, 2*b + b - 4*g - 44 = 0. Let x = -7687 - -10855. Suppose -b*m = -4*m - x. Does 18 divide m?
True
Let q = 6357 - 6524. Suppose j = 4*j + 213. Let y = j - q. Is y a multiple of 26?
False
Let w = 17 - 12. Let d be (96 + 1 - -3)/(w + -3). Suppose 128 = 2*n + 4*i, -5*i + d = n - 17. Is 31 a factor of n?
True
Suppose 4*l + 4966 - 5782 = 0. Is 9 a factor of l?
False
Does 44 divide (-1 - -155*(7 + -6))*108/21?
True
Let w(y) = 17*y**2 - 5*y - 4. Let z be w(4). Suppose 241*f = z*f - 3388. Does 15 divide f?
False
Suppose 0 = -3*j - 5*c + 71, 4*j + 3*c = -2*c + 98. Suppose -j*a + 27339 = 6198. Is a a multiple of 29?
True
Let c(f) = -270*f - 245. Let p be c(-13). Let b = p - 2138. Does 23 divide b?
True
Let o = -5 - -7. Suppose 3*u = -o*q + 62, 3*u = -4*q + 3*q + 31. Suppose 206 = 5*t + q. Is t a multiple of 7?
True
Suppose 14 + 2 = 4*t. Suppose -11 + 79 = t*g. Let u = g - -22. Does 13 divide u?
True
Suppose -5*q - 6912 = 5788. Let o = -1483 - q. Is 14 a factor of o?
False
Suppose 0*k + 5312 = 4*k + 2*i, -5*k - i + 6634 = 0. Is k a multiple of 39?
True
Let l = 15391 - 12163. Does 34 divide l?
False
Let s be (-2)/(-4 - (-4)/((-8)/(-10))). Is 9 a factor of (s + (-43 - -8))*-2?
False
Suppose 4*a - 15 - 13 = 0. Let u = -1 + a. Suppose -u*y = y - 1008. Is y a multiple of 36?
True
Let d be (2 - 2 - -2)*(-6)/(-4). Suppose -d*r + 4*r = 0. Suppose r = -5*k + 7 + 48. Is k even?
False
Let x be 32178/(-10) - (-5)/(-375)*15. Is (-4 - x/7) + 10/35 a multiple of 8?
True
Let d(p) = 3*p**2 + 2*p + 5. Let f be d(0). Suppose -4*t - 19 = -5*a, 21 = f*a - 2*t + 4. Suppose 4*q = -3*v - 85 + 740, -v = a. Does 11 divide q?
False
Is (-20)/(-25)*-7*(-153 - 2) a multiple of 36?
False
Suppose -3*n - 2*q + 8825 = -985, -5*n = -q - 16337. Is 57 a factor of n?
False
Suppose 128*z = 123*z + 30. Let h(r) = 72 - 3*r**2 + 110 + z + r. Is 40 a factor of h(0)?
False
Suppose 280*a - 276*a = 40. Suppose -4*m - 3*h + 67 = 0, -4*h - 9 = m - 42. Let w = m - a. Is w even?
False
Let x(p) = p**2 - 31*p + 49. Let v be ((-384)/(-30))/(1 + 3/(-5)). Does 27 divide x(v)?
True
Let v be 2 + -5 - 894*2/4. Let r(u) = 5*u**2 + 4*u + 2. Let o be r(-12). Let d = v + o. Is 14 a factor of d?
True
Let b(i) = -4*i**3 - i**2 + 8*i + 4. Let t be b(4). Let j = 124 - t. Is 15 a factor of j?
True
Suppose 0 = 14*r - 21*r + 175. Suppose -r*h + 16*h + 3123 = 0. Is 4 a factor of h?
False
Let j(w) = -166*w**3 + w**2 - 2*w - 2. Let a be j(-1). Let v = 303 - a. Is 34 a factor of v?
True
Let h be (-12)/(-36) - (-1)/(-3). Suppose 0 = 4*v - 8, h*v - v = 2*s - 1140. Is 34 a factor of s?
False
Let i(k) = k**3 + 3*k**2 + 2*k - 2. Suppose y - 8*m + 9*m - 5 = 0, 3*y + 4*m = 17. Does 4 divide i(y)?
False
Let z be (-118)/(-8)*(1 - -3). Let o = z - 83. Let s(k) = k + 30. Is s(o) a multiple of 3?
True
Let m(i) = 43*i - 36. Let p(o) = -6*o - 38. Let l be p(-7). Is m(l) a multiple of 9?
False
Let p(h) = -13*h + 11. Let r(z) = 25*z - 20. Let y(d) = -11*p(d) - 6*r(d). Is 2 a factor of y(-1)?
True
Let a(y) be the second derivative of -y**3 - 39*y**2/2 + 16*y + 3. Let q(p) = 3*p + 14. Let l be q(-11). Is 24 a factor of a(l)?
False
Let y = 34436 - 7085. Is 46 a factor of y?
False
Let p(x) = -2*x**2 - 88*x - 260. Is p(-34) a multiple of 10?
True
Is 52 a factor of (12 + 610/(-50))*-31165?
False
Suppose 26 = b - 5*u + u, 2*b + u = 7. Suppose -3*m + 0 = b. Does 4 divide -2*(m + 10/(-4))?
False
Suppose 28*v = 3064 - 572. Suppose 3*a + 5*o + 0*o = -104, -3*a = -o + 116. Let u = a + v. Is 6 a factor of u?
False
Suppose -167*c = -170*c + 567. Let p = c + 97. Does 11 divide p?
True
Let p(d) = 23*d**3 - d**2 + 2*d + 2. Let u be p(-1). Does 16 divide 8*((-834)/u - 4)?
False
Is 4/(-2) - (-476)/(-42)*-204 a multiple of 88?
False
Let u = 41653 + -33942. Does 14 divide u?
False
Suppose -2*v - 3*i + 29 = 2*i, 3*v + 5*i - 46 = 0. Suppose -6 = 20*f - v*f. Is 28 a factor of f/8*(0 - 412)?
False
Let u(d) = d**2 + 2*d. Let o(z) = -9*z**2 - 32*z + 161. Let h(a) = -o(a) + u(a). Is h(5) a multiple of 15?
False
Let y(c) = 311*c**2 + 65*c - 101. Is 19 a factor of y(5)?
True
Let z = 329 - 349. Is -5*(-4)/z*5 + 43 a multiple of 38?
True
Let t(q) = -181*q**3 + 261*q + 531. Is 4 a factor of t(-2)?
False
Let m be (-1*5)/((-41)/(-205)). Let p(s) = s**3 + 26*s**2 + 18*s - 64. Is 12 a factor of p(m)?
False
Let a be 1/(-11) - 15276/33. Let k = 533 + a. Does 9 divide k?
False
Suppose 86*t - 83*t - 5847 = -5*l, 0 = 2*l - 6. Is 12 a factor of t?
True
Suppose -5*p + 318 = 58. Let j = 3 + p. Suppose -7*k + j = -2*k. Does 11 divide k?
True
Suppose -3*n + 14112 = 3*l, -4*l + 11594 = n - 7228. Is 26 | {
"pile_set_name": "DM Mathematics"
} |
he next term in 28, 53, 78, 103, 128, 153?
178
What is the next term in -54, -76, -66, -30, 26, 96?
174
What comes next: -75, -163, -309, -513?
-775
What is the next term in -767, -766, -765?
-764
What is next in 110, 108, 106, 104?
102
What comes next: -38, -180, -540, -1226, -2346?
-4008
What is the next term in -49, -184, -513, -1132, -2137, -3624?
-5689
What is the next term in 24, 205, 696, 1653, 3232?
5589
What comes next: -79, -292, -647, -1144, -1783, -2564, -3487?
-4552
What is the next term in 81, 330, 747, 1332, 2085?
3006
What comes next: 29, 44, 71, 110, 161, 224?
299
What is next in 12, 31, 50, 69, 88?
107
What is next in 81, 78, 77, 78, 81, 86?
93
What comes next: -3, 24, 97, 240, 477?
832
What is next in -20, -67, -146, -257, -400?
-575
What comes next: 295, 581, 867, 1153?
1439
What comes next: 62, 35, -52, -229, -526?
-973
What is next in -19, -28, -35, -34, -19, 16, 77, 170?
301
What is next in 10077, 10079, 10081, 10083, 10085, 10087?
10089
What is the next term in 433, 449, 485, 547, 641, 773?
949
What is next in 418, 373, 256, 31, -338, -887?
-1652
What comes next: -29, -46, -63?
-80
What comes next: 5, 29, 67, 119, 185, 265, 359?
467
What is the next term in -116, -245, -388, -551, -740, -961?
-1220
What is next in -9, -14, -39, -96, -197, -354, -579, -884?
-1281
What is next in -365, -377, -413, -485, -605, -785, -1037?
-1373
What comes next: 40, 27, 6, -23, -60?
-105
What comes next: 31, -42, -237, -614, -1233, -2154?
-3437
What is next in 6957, 6955, 6953, 6951, 6949?
6947
What comes next: 3212, 3209, 3206, 3203, 3200?
3197
What is the next term in -13, -24, -29, -28, -21?
-8
What is the next term in 16, 21, 38, 73, 132?
221
What is the next term in -94, -96, -110, -142, -198?
-284
What is the next term in -485, -490, -497, -506, -517?
-530
What is the next term in -2726, -5453, -8180?
-10907
What is the next term in -254, -266, -274, -278, -278?
-274
What is next in 96, 64, 54, 78, 148, 276?
474
What comes next: -42, -58, -98, -174, -298?
-482
What is next in 69, 145, 223, 303?
385
What is next in -76, -73, -70, -67?
-64
What is next in -10, -28, -58, -100, -154, -220, -298?
-388
What is next in 17, 19, 21, 23, 25, 27?
29
What is next in -22, -38, -68, -112, -170?
-242
What comes next: 316, 618, 908, 1180, 1428, 1646, 1828, 1968?
2060
What comes next: -132, -555, -1262, -2253, -3528, -5087, -6930?
-9057
What is next in -475, -473, -471, -469?
-467
What is next in 4937, 4932, 4925, 4916, 4905?
4892
What comes next: 1149, 1133, 1117?
1101
What is the next term in 5068, 5063, 5058, 5053, 5048?
5043
What is the next term in 17, 11, -55, -211, -487, -913, -1519?
-2335
What is the next term in -2119, -2120, -2121, -2122, -2123, -2124?
-2125
What comes next: 2576, 2577, 2578, 2579, 2580, 2581?
2582
What comes next: 67, 148, 239, 340, 451?
572
What comes next: -29, -36, -43, -50, -57?
-64
What comes next: -43, -60, -91, -142, -219, -328, -475, -666?
-907
What is the next term in 0, 55, 218, 549, 1108?
1955
What is the next term in 1566, 3124, 4682?
6240
What comes next: -3066, -3068, -3070, -3072?
-3074
What is next in -11, -34, -57?
-80
What comes next: 47, 55, 85, 149, 259, 427, 665, 985?
1399
What is the next term in -2718, -5436, -8154, -10872, -13590?
-16308
What comes next: -1044, -1033, -1022, -1011, -1000?
-989
What is the next term in -3001, -3002, -3005, -3010, -3017, -3026?
-3037
What is the next term in -148, -589, -1324, -2353?
-3676
What comes next: -739, -737, -735?
-733
What is next in 188, 173, 152, 125, 92, 53?
8
What is next in -5, -26, -61, -116, -197, -310?
-461
What is next in -141, -161, -207, -285, -401, -561?
-771
What is the next term in 16, 39, 62, 85?
108
What is the next term in -189, -176, -151, -108, -41?
56
What is the next term in 173, 173, 169, 161, 149?
133
What comes next: 7133, 7132, 7131, 7130, 7129, 7128?
7127
What comes next: -33, -58, -65, -36, 47?
202
What comes next: -64, -68, -72, -76, -80, -84?
-88
What comes next: 445, 420, 395, 370?
345
What is the next term in 38, 72, 106, 140?
174
What is the next term in -6213, -6221, -6241, -6279, -6341?
-6433
What is the next term in -23, -57, -79, -83, -63?
-13
What comes next: -18, 48, 114, 180?
246
What is the next term in 506, 548, 590, 632, 674, 716?
758
What comes next: -110, -113, -118, -125?
-134
What is the next term in -95, -94, -83, -56, -7, 70?
181
What is the next term in 322, 606, 890, 1174, 1458?
1742
What comes next: -38, -48, -80, -146, -258, -428?
-668
What is the next term in -254, -507, -760?
-1013
What is the next term in -7, -2, 23, 80, 181?
338
What is next in 179, 154, 129, 104?
79
What is the next term in -64, -66, -68, -70, -72, -74?
-76
What is next in 174, 347, 508, 651, 770, 859, 912, 923?
886
What comes next: 25, 49, 77, 115, 169, 245, 349, 487?
665
What comes next: 523, 523, 525, 529, 535?
543
What is next in -172, -173, -174, -175?
-176
What is the next term in -110, -113, -118, -125?
-134
What is the next term in 46, 88, 132, 178, 226, 276?
328
What is the next term in 28, 13, -2?
-17
What is next in -7481, -7477, -7471, -7463, -7453, -7441?
-7427
What is the next term in -7, -5, -3?
-1
What is next in 26, 75, 200, 437, 822?
1391
What comes next: 208, 431, 654, 877, 1100?
1323
What comes next: -11, -11, -19, -41, -83?
-151
What is the next term in -88, -176, -264, -352, -440?
-528
What is the next term in -83, -375, -867, -1565, -2475, -3603, -4955?
-6537
What comes next: 120, 617, 1438, 2577, 4028, 5785, 7842?
10193
What is the next term in -325, -324, -323, -322, -321?
-320
What is next in -3, 32, 121, 288, 557, 952?
1497
What is the next term in 7, -3, -31, -83, -165, -283?
-443
What is next in 29, 46, 63, 80, 97?
114
What is next in 1, 0, -5, -14, -27, -44?
-65
What is the next term in 175, 179, 183?
187
What is next in 664, 1322, 1980, 2638, 3296, 3954?
4612
What is next in 270, 366, 452, 522, 570, 590, 576, 522?
422
What comes next: 2815, 5634, 8453, 11272, 14091?
16910
What is next in 10881, 10874, 10855, 10818, 10757, 10666?
10539
What is next in -33, -28, -11, 24, 83, 172, 297, 464?
679
What is next in 179, 173, 157, 125, 71, -11, -127?
-283
What is the next term in 24, 18, 2, -30, -84, -166, -282, -438?
-640
What comes next: 80, 179, 292, 425, 584, 775, 1004, 1277?
1600
What is next in 31, 47, 67, 91?
119
What comes next: -245, -235, -225?
-215
What is next in 21, 26, 35, 48, 65, 86?
111
What is the next term in 607, 610, 615, 622, 631?
642
What is next in -12, -19, -26, -33, -40, -47?
-54
What is the next term in 1870, 1867, 1862, 1855, 1846?
1835
What comes next: -699, -2777, -6239, -11085?
-17315
What is the next term in 114, 127, 158, 213, 298, 419, 582?
793
What comes next: -58, -97, -130, -163, -202?
-253
What is the next term in 92, 171, 274, 413, 600, 847, 1166, 1569?
2068
What is next in 2260, 4521, 6782, 9043, 11304, 13565?
15826
What is the next term in -188, -741, -1662, -2951?
-4608
What is the next term in 14651, 14649, 14637, 14609, 14559?
14481
What comes next: 6, 37, 104, 213, 370?
581
What is the next term in -1, -10, -33, -76, -145, -246, -385, -568?
-801
What is next in -5425, -5423, -5419, -5413, -5405, -5395, -5383?
-5369
What comes next: -91, -358, -831, -1534, -2491?
-3726
What is next in 368, 354, 340?
326
What is the next term in -1661, -3328, -4999, -6674?
-8353
What comes next: -2535, -5089, -7645, -10203?
-12763
What comes next: -148, -279, -408, -535, -660, -783?
-904
What is the next term in -20, 5, 40, 85, 140, 205?
280
What is next in -8051, -8049, -8047?
-8045
What is next in 13, 19, 25, 31, 37?
43
What is the next term in 11615, 11613, 11611?
11609
What is the next term in -398, -796, -1192, -1586?
-1978
What comes next: -639, -638, -637?
-636
What comes next: 11881, 11884, 11887, 11890?
11893
What is next in -2, -12, -30, -56, -90, -132, -182?
-240
What comes next: 101, 35, -61, -193, -367, -589, -865, -1201?
-1603
What is the next term in -1, -13, -25, -37?
-49
What is the next term in 208, 424, 640, 856?
1072
What comes next: -97, -192, -287, -382, -477?
-572
What is next in -197, -287, -375, -461, -545, -627, -707?
-785
What is the next term in -12, -25, -50, -93, -160, -257, -390, -565?
-788
What is the next term in -20, -14, -2, 16, 40, 70, 106?
148
Wha | {
"pile_set_name": "DM Mathematics"
} |
t common multiple of 6246 and 28454000?
256086000
What is the lowest common multiple of 323257572 and 14?
2262803004
What is the common denominator of 69/34420 and 1/25594712?
127973560
Find the common denominator of -37/2624 and 1/3303944.
26431552
Calculate the lowest common multiple of 32648 and 2716.
3166856
What is the common denominator of 43/4942875 and -163/61291650?
306458250
Calculate the smallest common multiple of 10605 and 37238397.
186191985
Calculate the common denominator of 61/125523200 and 131/880.
125523200
Calculate the common denominator of -26/29589 and 139/656448.
6474546624
What is the lowest common multiple of 8470360 and 166?
703039880
Calculate the common denominator of 19/161136 and -79/41232.
138415824
Calculate the least common multiple of 6392056 and 792.
57528504
What is the least common multiple of 3975 and 2443650?
129513450
Calculate the smallest common multiple of 8060 and 3680196.
18400980
What is the least common multiple of 3091696 and 9?
27825264
Calculate the lowest common multiple of 376 and 316216.
316216
Calculate the lowest common multiple of 677019 and 700.
67701900
What is the lowest common multiple of 3068590 and 109221?
64440390
What is the common denominator of 23/162240813 and 97/89730?
1622408130
Calculate the common denominator of -31/31490 and -64/2912825.
5825650
What is the common denominator of -131/28264080 and -15/8?
28264080
What is the smallest common multiple of 4853772 and 90846?
33976404
Find the common denominator of 97/45992 and 11/137976.
137976
Calculate the smallest common multiple of 6 and 32773606.
98320818
Calculate the smallest common multiple of 4816512 and 13560.
24082560
Calculate the common denominator of 113/7761390 and -101/665262.
23284170
Calculate the smallest common multiple of 156880 and 3520.
6902720
What is the least common multiple of 428536 and 130424?
2999752
What is the common denominator of 83/202810320 and -37/48?
202810320
Find the common denominator of -45/128 and 61/3993360.
31946880
Calculate the least common multiple of 533 and 8657363.
354951883
Calculate the least common multiple of 2400 and 204352.
15326400
Find the common denominator of -133/5195010 and 25/5714511.
57145110
What is the common denominator of -81/52114 and -103/540958?
38408018
What is the smallest common multiple of 50768646 and 84614410?
253843230
Calculate the common denominator of -29/6663 and -55/2645211.
2645211
Calculate the smallest common multiple of 473121 and 6511428.
384174252
Calculate the common denominator of -123/236270 and -32/2480835.
4961670
Calculate the common denominator of -24/1103009 and 119/12.
13236108
Calculate the lowest common multiple of 25030536 and 1632.
1702076448
Find the common denominator of -13/42 and -39/324146.
6807066
Find the common denominator of 1/44394 and -57/794864.
16692144
Find the common denominator of 17/209430252 and 17/46540056.
418860504
Calculate the least common multiple of 69201 and 126819.
29548827
Calculate the least common multiple of 3084 and 571244.
440429124
What is the common denominator of -52/21008049 and 145/23898?
294112686
What is the common denominator of 16/9 and 79/13064528?
117580752
Calculate the common denominator of -41/578016 and 131/2013984.
449118432
Calculate the least common multiple of 11221 and 1202565.
1927711695
Find the common denominator of 21/10336 and -63/517106.
157200224
What is the smallest common multiple of 196 and 698916?
34246884
Calculate the smallest common multiple of 3954216 and 1129776.
7908432
Calculate the common denominator of 38/3151 and -16/339.
1068189
Calculate the lowest common multiple of 3211 and 34151.
8435297
Calculate the least common multiple of 45897369 and 19.
45897369
Find the common denominator of -59/337088 and -91/842720.
1685440
Calculate the least common multiple of 12376 and 91896.
20309016
Calculate the common denominator of 149/9936 and -109/132.
109296
What is the common denominator of 53/274 and 37/103715?
28417910
Calculate the smallest common multiple of 17045 and 40609.
692180405
What is the lowest common multiple of 158268 and 2988?
39408732
Calculate the common denominator of -37/268 and 11/9.
2412
Calculate the common denominator of 89/26850464 and 95/72416.
1960083872
What is the least common multiple of 9647261 and 29683880?
385890440
What is the common denominator of 131/3028560 and -187/1135710?
9085680
Calculate the common denominator of -3/146 and -37/11325804.
11325804
What is the smallest common multiple of 1804231 and 149110?
18042310
What is the lowest common multiple of 35 and 195377714?
976888570
What is the least common multiple of 2499 and 16076424?
112534968
What is the lowest common multiple of 10712 and 688246?
2752984
Find the common denominator of -55/25184 and 13/232952.
931808
Calculate the common denominator of 31/15676770 and 37/15676770.
15676770
Find the common denominator of 97/29862690 and 19/25268430.
328489590
Calculate the least common multiple of 72625157 and 22.
145250314
Calculate the least common multiple of 11775240 and 900.
58876200
What is the common denominator of 19/1755750 and -56/375?
1755750
Calculate the lowest common multiple of 10948200 and 565400.
120430200
Calculate the common denominator of 47/8 and -71/657978.
2631912
What is the common denominator of -17/4328 and -89/6138?
13282632
What is the common denominator of -22/15171 and 31/8271?
41826447
Calculate the lowest common multiple of 196881 and 137547.
10040931
Calculate the smallest common multiple of 8230840 and 20820.
24692520
Find the common denominator of 115/10734 and -79/15059802.
15059802
Calculate the smallest common multiple of 1936250 and 774500.
3872500
Calculate the least common multiple of 7957 and 2746625.
299382125
Calculate the lowest common multiple of 101034791 and 1122.
606208746
Calculate the lowest common multiple of 2188 and 3670784.
2007918848
What is the least common multiple of 302832 and 2376?
3331152
What is the lowest common multiple of 1651750 and 1684785?
84239250
What is the lowest common multiple of 14415759 and 1601751?
14415759
What is the lowest common multiple of 1881240 and 17568?
22574880
Calculate the common denominator of 107/408 and 11/4067165.
97611960
Calculate the common denominator of 103/487230 and -41/698214.
380526630
Find the common denominator of -4/9136205 and 21/7449521.
484218865
Calculate the common denominator of 59/286160 and -143/131400.
12877200
Calculate the common denominator of -57/2272 and 47/325551472.
651102944
Calculate the common denominator of -25/1842306 and -47/2.
1842306
What is the common denominator of 169/1035090 and -64/193347?
102473910
Calculate the smallest common multiple of 78255287 and 8.
626042296
What is the least common multiple of 595140 and 820225?
127955100
What is the lowest common multiple of 4462302 and 514881?
13386906
What is the least common multiple of 18936 and 18143055?
145144440
Calculate the least common multiple of 4244060 and 100.
21220300
Calculate the smallest common multiple of 11159316 and 66955896.
66955896
Find the common denominator of -111/39514330 and 31/6.
118542990
Find the common denominator of 41/38336 and 9/19168.
38336
What is the smallest common multiple of 2003434 and 3819?
114195738
Calculate the common denominator of 3/29344 and -13/54336.
49826112
Calculate the smallest common multiple of 3290895 and 57042180.
171126540
Calculate the common denominator of 109/1816914 and -3/44.
3633828
What is the common denominator of 103/709328 and -1/499004?
85828688
What is the common denominator of -161/6750 and 121/736700?
99454500
Calculate the smallest common multiple of 62748 and 13093416.
39280248
Calculate the least common multiple of 231895 and 45.
2087055
Calculate the common denominator of -49/76857427 and -13/760024.
614859416
What is the common denominator of 149/14712 and -61/1504302?
6017208
Calculate the least common multiple of 6467616 and 22032.
58208544
What is the smallest common multiple of 3138 and 11646687?
23293374
Calculate the common denominator of 47/8580 and -133/7260.
94380
What is the smallest common multiple of 588858 and 294?
28854042
Calculate the lowest common multiple of 1573648 and 23364.
155791152
Calcu | {
"pile_set_name": "DM Mathematics"
} |
mainder when 497 is divided by 101.
93
Calculate the remainder when 853 is divided by 121.
6
Calculate the remainder when 103 is divided by 15.
13
What is the remainder when 19284 is divided by 133?
132
Calculate the remainder when 1287 is divided by 215.
212
Calculate the remainder when 169 is divided by 7.
1
Calculate the remainder when 247 is divided by 39.
13
What is the remainder when 895 is divided by 182?
167
Calculate the remainder when 741 is divided by 27.
12
What is the remainder when 418 is divided by 17?
10
Calculate the remainder when 127 is divided by 5.
2
Calculate the remainder when 317 is divided by 113.
91
Calculate the remainder when 603 is divided by 34.
25
Calculate the remainder when 3134 is divided by 56.
54
What is the remainder when 1104 is divided by 221?
220
What is the remainder when 17349 is divided by 18?
15
What is the remainder when 288 is divided by 42?
36
What is the remainder when 144 is divided by 87?
57
What is the remainder when 220 is divided by 48?
28
Calculate the remainder when 335 is divided by 23.
13
What is the remainder when 159 is divided by 19?
7
What is the remainder when 873 is divided by 44?
37
What is the remainder when 110 is divided by 13?
6
What is the remainder when 861 is divided by 286?
3
What is the remainder when 32 is divided by 5?
2
What is the remainder when 20 is divided by 6?
2
What is the remainder when 717 is divided by 9?
6
What is the remainder when 333 is divided by 51?
27
What is the remainder when 542 is divided by 16?
14
What is the remainder when 74 is divided by 11?
8
Calculate the remainder when 1130 is divided by 14.
10
Calculate the remainder when 129 is divided by 26.
25
What is the remainder when 637 is divided by 137?
89
Calculate the remainder when 29 is divided by 6.
5
What is the remainder when 27002 is divided by 157?
155
What is the remainder when 1693 is divided by 100?
93
Calculate the remainder when 18 is divided by 11.
7
Calculate the remainder when 1298 is divided by 320.
18
What is the remainder when 18 is divided by 2?
0
Calculate the remainder when 987 is divided by 19.
18
Calculate the remainder when 842 is divided by 11.
6
What is the remainder when 3359 is divided by 558?
11
Calculate the remainder when 28482 is divided by 135.
132
Calculate the remainder when 2089 is divided by 17.
15
What is the remainder when 239 is divided by 6?
5
Calculate the remainder when 2565 is divided by 33.
24
What is the remainder when 3150 is divided by 16?
14
What is the remainder when 2811 is divided by 10?
1
What is the remainder when 214 is divided by 7?
4
Calculate the remainder when 111 is divided by 23.
19
What is the remainder when 94 is divided by 47?
0
What is the remainder when 134 is divided by 17?
15
What is the remainder when 1788 is divided by 180?
168
Calculate the remainder when 111 is divided by 11.
1
Calculate the remainder when 337 is divided by 94.
55
What is the remainder when 1091 is divided by 272?
3
What is the remainder when 487 is divided by 61?
60
Calculate the remainder when 95 is divided by 52.
43
Calculate the remainder when 656 is divided by 22.
18
Calculate the remainder when 83 is divided by 21.
20
What is the remainder when 560 is divided by 141?
137
What is the remainder when 192 is divided by 15?
12
Calculate the remainder when 541 is divided by 47.
24
Calculate the remainder when 60 is divided by 24.
12
Calculate the remainder when 172 is divided by 57.
1
What is the remainder when 1580 is divided by 88?
84
Calculate the remainder when 119 is divided by 47.
25
What is the remainder when 590 is divided by 87?
68
What is the remainder when 84 is divided by 13?
6
What is the remainder when 7500 is divided by 31?
29
What is the remainder when 21 is divided by 12?
9
What is the remainder when 74 is divided by 9?
2
Calculate the remainder when 165 is divided by 46.
27
What is the remainder when 467 is divided by 207?
53
What is the remainder when 419 is divided by 9?
5
Calculate the remainder when 69 is divided by 56.
13
What is the remainder when 3521 is divided by 6?
5
What is the remainder when 348 is divided by 36?
24
Calculate the remainder when 281 is divided by 43.
23
Calculate the remainder when 2838 is divided by 284.
282
What is the remainder when 399 is divided by 50?
49
Calculate the remainder when 5699 is divided by 163.
157
Calculate the remainder when 169 is divided by 62.
45
Calculate the remainder when 75 is divided by 20.
15
Calculate the remainder when 245 is divided by 19.
17
What is the remainder when 223 is divided by 17?
2
What is the remainder when 10897 is divided by 50?
47
Calculate the remainder when 135 is divided by 45.
0
Calculate the remainder when 347 is divided by 109.
20
Calculate the remainder when 4411 is divided by 1102.
3
Calculate the remainder when 48 is divided by 4.
0
Calculate the remainder when 93 is divided by 20.
13
What is the remainder when 3176 is divided by 53?
49
Calculate the remainder when 12991 is divided by 71.
69
What is the remainder when 843 is divided by 94?
91
Calculate the remainder when 5599 is divided by 80.
79
Calculate the remainder when 1041 is divided by 87.
84
Calculate the remainder when 346 is divided by 89.
79
Calculate the remainder when 70 is divided by 3.
1
What is the remainder when 198 is divided by 69?
60
What is the remainder when 256 is divided by 10?
6
What is the remainder when 111 is divided by 106?
5
What is the remainder when 213 is divided by 184?
29
What is the remainder when 167 is divided by 5?
2
Calculate the remainder when 1143 is divided by 143.
142
Calculate the remainder when 607 is divided by 47.
43
Calculate the remainder when 472 is divided by 76.
16
What is the remainder when 1284 is divided by 39?
36
What is the remainder when 662 is divided by 9?
5
Calculate the remainder when 74 is divided by 15.
14
Calculate the remainder when 732 is divided by 351.
30
Calculate the remainder when 479 is divided by 15.
14
Calculate the remainder when 567 is divided by 41.
34
Calculate the remainder when 257 is divided by 90.
77
Calculate the remainder when 505 is divided by 23.
22
Calculate the remainder when 167 is divided by 14.
13
What is the remainder when 1416 is divided by 95?
86
Calculate the remainder when 49 is divided by 5.
4
What is the remainder when 403 is divided by 14?
11
What is the remainder when 5082 is divided by 221?
220
What is the remainder when 325 is divided by 83?
76
What is the remainder when 1386 is divided by 139?
135
What is the remainder when 2949 is divided by 164?
161
Calculate the remainder when 111 is divided by 33.
12
Calculate the remainder when 414 is divided by 8.
6
Calculate the remainder when 6340 is divided by 14.
12
Calculate the remainder when 285 is divided by 248.
37
Calculate the remainder when 10 is divided by 2.
0
What is the remainder when 480 is divided by 466?
14
What is the remainder when 12043 is divided by 317?
314
What is the remainder when 7 is divided by 7?
0
What is the remainder when 2998 is divided by 40?
38
What is the remainder when 1653 is divided by 32?
21
What is the remainder when 2050 is divided by 76?
74
Calculate the remainder when 934 is divided by 27.
16
Calculate the remainder when 1149 is divided by 9.
6
Calculate the remainder when 191 is divided by 47.
3
What is the remainder when 588 is divided by 71?
20
What is the remainder when 39447 is divided by 15?
12
What is the remainder when 119 is divided by 71?
48
What is the remainder when 15 is divided by 12?
3
Calculate the remainder when 5003 is divided by 13.
11
What is the remainder when 6406 is divided by 13?
10
What is the remainder when 75 is divided by 42?
33
Calculate the remainder when 260 is divided by 77.
29
Calculate the remainder when 230 is divided by 47.
42
What is the remainder when 192 is divided by 13?
10
What is the remainder when 651 is divided by 95?
81
Calculate the remainder when 92 is divided by 16.
12
What is the remainder when 74 is divided by 19?
17
What is the remainder when 772 is divided by 365?
42
What is the remainder when 134 is divided by 46?
42
Calculate the remainder when 1255 is divided by 311.
11
What is the remainder when 45 is divided by 36?
9
Calculate the remainder when 167 is divided | {
"pile_set_name": "DM Mathematics"
} |
5*j + 6. Let u(q) = 3*i(q) + 5*l(q). Let g(w) = w. Give u(g(b)).
b**2 + 612*b
Let u(z) = 2*z**2 - 684*z. Let f(y) = 73409*y. Calculate f(u(w)).
146818*w**2 - 50211756*w
Let g(o) = -3*o. Let s(i) = -7*i**2 + 24*i + 3884. Let v(d) = 9*d**2 - 32*d - 3884. Let f(z) = 4*s(z) + 3*v(z). What is f(g(r))?
-9*r**2 + 3884
Let z(l) = -2*l**2. Let s be -10 - (1 - (6 - -8)). Let h(q) be the second derivative of 0 + 0*q**2 + 5/3*q**s - 11*q. Calculate z(h(u)).
-200*u**2
Let t(a) = -2*a. Let f be (-57)/(14/35 - 38/20). Let b = -35 + f. Let x(l) = -b - 10 - 28*l + 13. Give t(x(o)).
56*o
Let g(m) = 19*m + 63*m**2 - 16*m + 18*m**2 - 3*m. Let w(n) = 10*n. Give g(w(h)).
8100*h**2
Let v(o) = -128*o**2 - 1103*o + 2. Let j(n) = 22*n**2. What is v(j(l))?
-61952*l**4 - 24266*l**2 + 2
Let b(r) = 36*r**2 + 4*r. Let k(t) = 204532*t. Determine b(k(m)).
1506000204864*m**2 + 818128*m
Let j(c) be the second derivative of -23*c**4/6 + c**2 - 1346*c + 5. Let h(r) = 6*r**2. Calculate j(h(u)).
-1656*u**4 + 2
Let q(z) = -2*z**2 + z - 10644. Let u(b) = 85*b**2. Give q(u(h)).
-14450*h**4 + 85*h**2 - 10644
Let h(y) = y - 5. Let t(f) = 5*f - 30. Let k(n) = -6*h(n) + t(n). Let l(a) = -16*a. Calculate k(l(o)).
16*o
Let v(d) = d**2. Suppose 0 = 2*t - 8, 0*s + 64 = 4*s - 2*t. Let i(a) = -2*a**2 + 23 + 20 + 79 - s. Give v(i(z)).
4*z**4 - 416*z**2 + 10816
Let h(v) be the first derivative of v**2/2 + 42. Let n(q) = -23*q - 24. Let t(r) = 21*r + 20. Let o(p) = 5*n(p) + 6*t(p). Determine o(h(u)).
11*u
Let z(t) = 6535784*t. Let k(b) = -5*b**2. Determine z(k(l)).
-32678920*l**2
Let f(x) be the first derivative of -x**2/2 + 1. Let t(d) = 146*d - 99519 + 99518 - 146*d + 3*d**2. Determine t(f(g)).
3*g**2 - 1
Let p(w) = 2*w + 4. Let h(r) = -2*r**2 - 12*r - 24. Let z(u) = -h(u) - 6*p(u). Let o(k) = 2966*k. Calculate o(z(s)).
5932*s**2
Let y(r) = -3*r + 1426. Let o(z) = 10*z + 1. Give o(y(k)).
-30*k + 14261
Let t(s) = -64*s - 28 - 3*s**2 + 35 + 5*s**2 - 5 - 4. Let b(p) = -2*p. What is t(b(n))?
8*n**2 + 128*n - 2
Let d(s) = 2044*s. Let l(b) = -16*b**2 + 116. Calculate l(d(r)).
-66846976*r**2 + 116
Let t(n) = -969*n. Let x(o) be the second derivative of o**3/6 + o + 66. Determine t(x(p)).
-969*p
Let q(a) = -13*a**2. Let p(f) be the first derivative of 34 + 303*f**2 - 296*f**2 + 27. Give q(p(x)).
-2548*x**2
Let s(f) = -517*f. Let u(y) = -144072*y**2 - 144093*y**2 + 288146*y**2. Determine s(u(t)).
9823*t**2
Let d(t) = 37*t**2 + 9*t - 7. Suppose 0 = 90*p - 96*p + 54. Let o(h) = 9*h**2 + 2*h - 2. Let u(x) = p*o(x) - 2*d(x). Let k(q) = 2*q**2. Calculate k(u(v)).
98*v**4 - 112*v**2 + 32
Let t(o) = -o**3 + 8*o**2 + 5. Let f be t(8). Let l(u) = f*u + 12*u + 6*u - 22*u. Let j(c) = 8*c. Let x(z) = -2*z. Let d(b) = 2*j(b) + 9*x(b). Give l(d(y)).
-2*y
Let x(u) = -u**2 - 3*u. Let g(y) = -y. Let d = -65 + 68. Let n(w) = d*g(w) - x(w). Let j(m) be the second derivative of -m**3/2 + 4*m. Calculate j(n(s)).
-3*s**2
Let h(y) = 129 - 15 - 3*y - 5*y - 4*y + 16. Let b(g) = 5*g - 65. Let z(d) = 5*b(d) + 2*h(d). Let k(v) = v**2. What is k(z(n))?
n**2 - 130*n + 4225
Let q(g) = -15*g**2 + 36*g - 7. Let n(f) = 25*f**2 - 62*f + 12. Let p(w) = 7*n(w) + 12*q(w). Let t(i) = 3*i + 5. Give t(p(c)).
-15*c**2 - 6*c + 5
Let u(x) = x. Let a(m) be the second derivative of -m**6/240 - 17*m**4/12 + 65*m. Let t(g) be the third derivative of a(g). Determine u(t(h)).
-3*h
Let r(b) be the first derivative of -2*b**3 - 967. Let c(o) = 14*o**2 + 3*o. What is c(r(h))?
504*h**4 - 18*h**2
Let l(c) = 30*c. Let g(m) be the third derivative of 0*m**4 - 1/15*m**5 + 0*m + 0*m**3 + 6 - 6*m**2. Calculate l(g(k)).
-120*k**2
Let j(w) = -w**2. Let b(l) be the third derivative of 57*l**4 - 691*l**2. Give b(j(a)).
-1368*a**2
Let c(q) = 3*q - 2. Let b(x) = -7*x + 5. Let s be 4*1/(-2) + 7. Suppose 3*u = -s - 10. Let h(n) = u*c(n) - 2*b(n). Let f(j) = -4*j. Give f(h(i)).
4*i
Let w(o) be the third derivative of -o**5/15 + o**2. Let u(h) = 467*h**2 + 6*h - 19. Let k be u(3). Let p(x) = 8*x**2 + k - 4202. Determine w(p(l)).
-256*l**4
Let s(j) = 22*j. Let p(n) = -8 - 9 + 7*n - 23 - 6*n**2 + 33. Let o(i) = 4*i**2 - 6*i + 6. Let t(u) = -7*o(u) - 6*p(u). Calculate s(t(x)).
176*x**2
Let h(d) = 24*d + 2*d + 9*d + 5*d. Let t(k) be the second derivative of 1/6*k**3 + 0*k**2 + 22*k + 0. Calculate h(t(f)).
40*f
Let c(a) = -64*a. Let r(w) = -7323*w**2 + 10*w. What is c(r(b))?
468672*b**2 - 640*b
Let j = 117 + -107. Let n(f) = f**3 - 10*f**2 - 2*f + 22. Let p be n(j). Let y(g) = -33*g**2 + 24*g**p + 12*g**2. Let h(v) = v. What is y(h(i))?
3*i**2
Let u(t) = 778696066*t. Let s(j) = j. Give s(u(n)).
778696066*n
Let r(n) = -119 - 901*n + 119 - 174*n. Let i(j) = -7*j. Give r(i(y)).
7525*y
Let g(b) = -2*b + 12472. Let x(y) = -2*y**2 - 92. Calculate g(x(t)).
4*t**2 + 12656
Let p(z) = -7*z**2. Let n(d) = -156129 - 27*d + 156129. Give p(n(i)).
-5103*i**2
Let z(r) = -261*r. Let l(g) = -3*g + 10104. Give z(l(b)).
783*b - 2637144
Let o(j) = -7*j - 10*j - 2891471*j**2 + 2891509*j**2. Let r(v) = v. Give r(o(y)).
38*y**2 - 17*y
Let p(g) = -2*g - 15. Let u(c) = -16*c + 2622. Calculate u(p(z)).
32*z + 2862
Let i(p) be the first derivative of -3*p**3 + 2. Let s(w) be the third derivative of -5*w**4/8 + 845*w**2. Calculate i(s(h)).
-2025*h**2
Let f(d) be the first derivative of 3*d**2 - d + 1450. Let h(r) = 8*r. Give h(f(p)).
48*p - 8
Let d(g) = -39*g**2. Let h(f) = 5*f + 3. Let p(v) = 11*v + 6. Let z(x) = -13*h(x) + 6*p(x). Let o(y) = -3*y + 5. Let b(a) = 3*o(a) + 5*z(a). Calculate d(b(q)).
-624*q**2
Let o(j) = -8*j. Let g = -16481/3 - -5494. Let b(w) be the first derivative of g*w**3 + 0*w**2 + 20 + 0*w. Give o(b(t)).
-8*t**2
Let t(o) = 269 - 117 - 155 - 19*o. Let c(h) = -49*h. Give t(c(x)).
931*x - 3
Let s(a) be the first derivative of -3*a**2/2 - 998. Let v(k) = 35*k. Give s(v(h)).
-105*h
Let s(y) = -9*y**2. Let d(g) = -23147980*g**2. What is d(s(a))?
-1874986380*a**4
Let p(j) = 5*j + 9. Let i(l) = -19*l - 8105. What is p(i(y))?
-95*y - 40516
Let t(d) = 17*d. Let r(a) = 62*a + 101*a + 14*a - 86*a + 27*a. Give r(t(f)).
2006*f
Let i(d) = -d + 53. Let m(o) = 68. Let n(c) = 6*i(c) - 5*m(c). Let a(t) = 3*t. Give a(n(b)).
-18*b - 66
Let n be (4*5)/(5/(-70)*-2). Let v(s) = -3*s - n + s + 140. Let i(t) = 8*t**2 - 16. Let m(l) = l**2 - 1. Let r(z) = i(z) - 16*m(z). Give v(r(k)).
16*k**2
Let s(h) = -2 + 2 + 18170*h - 18176*h. Let g(d) = 87*d. Calculate s(g(x)).
-522*x
Let m(s) = -2*s**2 + 27554*s - 27554*s. Let z(d) = -d - 116. Calculate m(z(a)).
-2*a**2 - 464*a - 26912
Let q(h) = -160*h**2 + 22. Let z(n) = 58*n**2 - 8. Let r(a) = 4*q(a) + 11*z(a). Let d(m) = -612*m**2 - 7. Calculate d(r(g)).
-2448*g**4 - 7
Let f(r) be the first derivative of -72 + 2533*r**2 - 59 - 2538*r**2. Let t(w) = -31*w. Calculate t(f(z)).
310*z
Let q(l) = -2*l**2. Let m = 9950 + -9947. Let d(c) be the first derivative of -22/3*c**m + 25 + 2*c + 0*c**2. Determine d(q(j)).
-88*j**4 + 2
Let p(q) = -4*q**2. Let v(r) = -31955 + 380*r + 31955. What is p(v(b))?
-577600*b**2
Let s(q) = -2*q**2 + 12*q. Let u(b) be the third derivative of -1/30*b**5 + b + 0 + 0*b**4 + 0*b**3 - 48*b**2. Determine u(s(n)).
-8*n**4 + 96*n**3 - 288*n**2
Let c(r) = -198*r - 2. Let k(i) = -191085*i**2 - 3 + 191081*i**2 + 3. Determine c(k(f)).
792*f**2 - 2
Let u(j) be the first derivative of 0*j**3 - 5 - 25*j + 0*j**2 - 13/6*j**4. Let f(y) be the first derivative of u(y). Let x(q) = q. Give x(f(v)).
-26*v**2
Let a(c) = -2*c. Let j(g) = 12262529*g. What is a(j(f))?
-24525058*f
Let j(u) = u + 1. Let r(y) be the third derivative of -y**5/20 + y**4/6 + 2*y**3/3 - 63*y**2. Let m(g) = 4*j(g) - r(g). Let t(x) = -3*x. What is t(m(q))?
-9*q**2
Let v(y) = -12*y**2. Let g = 25 + -12. Suppose 6*m + 4 = 8*m. Let f(r) = -13*r - 2*r**m + g*r. What is f(v(h))?
-288*h**4
Let y(v) = 5*v + 1532066. Let s(p) = -3*p**2. Give y(s(n)).
-15*n**2 + 1532066
Let m(b) = 2*b**2. Suppose -24*l + 6490 = 6370. Let r(a) be the third derivative of 6*a**2 + 0*a**4 + 0*a**3 + 0*a + 1/30*a**l + 0. Calculate r(m(d)).
8*d**4
Let j(p) = p**2. Let m(o) = -10595*o - 326. Let i(y) = -196*y - 6. Let u(v) = -163*i(v) + 3*m(v). What is u(j(g))?
163*g**2
Let k(q) = -106*q - 2 + 3 - 71*q + 31*q + 4*q. Let h(x) = -24*x. Determine k(h(u)).
3408*u + 1
Suppose -4*c + 105 = -15. Let z(m) = -41*m + 69*m - c*m. L | {
"pile_set_name": "DM Mathematics"
} |
termine -a(m) - f(m).
1181*m + 2
Let k(o) = 2*o**2 - 36*o + 20. Let b(m) = -6*m**2 + 101*m - 62. What is 6*b(j) + 17*k(j)?
-2*j**2 - 6*j - 32
Let g(p) = -p**3 + 6*p**2 + 7. Let a(k) = k**3 - 7*k**2 - k - 10. Let t(o) = 3*a(o) + 4*g(o). Let y(z) = z**3 - 3*z**2 + 3*z + 2. Determine -3*t(r) - 4*y(r).
-r**3 + 3*r**2 - 3*r - 2
Let n(z) = 124*z**2 + 17*z - 17. Let l(d) = 560*d - 3914. Let f be l(7). Let j(y) = 41*y**2 + 6*y - 6. Determine f*n(m) - 17*j(m).
47*m**2
Let j(q) be the second derivative of -q**4/12 + q**3/3 - 148*q + 6. Suppose -4 = -2*n - o, 10 = -2*n + 2*o + 2. Let g(k) = -k + n + 0. Give -6*g(t) - j(t).
t**2 + 4*t
Let p(s) be the second derivative of -2*s**5/5 - 7*s**4/12 + 5*s**3/2 - 7*s**2/2 - 3856*s. Let n(a) = 7*a**3 + 6*a**2 - 15*a + 6. Give -7*n(q) - 6*p(q).
-q**3 + 15*q
Let x(s) = -s**2 - 2*s - 4. Let k(i) = 472*i**2 + 1. Calculate k(d) - x(d).
473*d**2 + 2*d + 5
Let l(k) = -k**3 + 8*k**2 + 1. Let g(d) = 24*d**3 - 71*d**2 + 2*d - 9. Let t(s) = -g(s) - 9*l(s). Let x(v) = 15*v**3 + 2*v**2 + 3*v. What is -3*t(r) - 2*x(r)?
15*r**3 - r**2
Let d(t) = -73*t - 105. Let i(q) = -147*q - 182. Calculate -7*d(g) + 4*i(g).
-77*g + 7
Let f(t) = 4*t**3 - 2*t**2 + 23*t. Let p be (42/(-12))/(77/(-44)). Let n(q) = -9*q**3 + 5*q**2 - 47*q. Calculate p*n(m) + 5*f(m).
2*m**3 + 21*m
Let n(l) = -15598*l**2 + 31183*l**2 - 15592*l**2. Let d(o) = 85*o**2. Let z(g) = -2*g. Let h be z(-1). What is h*d(a) + 25*n(a)?
-5*a**2
Let c(z) = 2 + 129*z + 138*z - 393*z + 131*z. Let u(h) = -h. Suppose w + 3*w = 4. Let a(p) = -4*p. Let d(v) = w*a(v) - 5*u(v). Determine c(j) - 6*d(j).
-j + 2
Let q(f) = -4*f**3 + 31*f**2 + 117*f + 2. Let y(l) = -3*l**3 + 25*l**2 + 112*l + 2. What is 4*q(z) - 5*y(z)?
-z**3 - z**2 - 92*z - 2
Let i(p) = 4*p**2 - 233*p - 933. Let z be i(62). Let c(f) = 2*f**3 - 4*f + 5. Let v(a) = -2*a**3 + 3*a - 6. Determine z*c(s) - 4*v(s).
2*s**3 + 9
Let p = 3609 - 970. Let j(u) = u - 5*u**2 + 4*u**2 + 2637 - p. Let g(x) = -4*x**2 - 9 + 3*x + x + 0*x**2. Calculate -6*g(a) + 26*j(a).
-2*a**2 + 2*a + 2
Let d(s) = s**3 + s**2 - 1. Let k(w) = 635*w**3 - 719*w**3 - 73*w**2 - 39*w**2 + 112. Calculate -112*d(v) - k(v).
-28*v**3
Let i(q) be the second derivative of -5/2*q**2 + q - 51 + 2/3*q**4 - 11/6*q**3. Let s(g) = 3*g**2 - 4*g - 2. Give 4*i(p) - 11*s(p).
-p**2 + 2
Let x(h) = -42*h**2 + 5*h. Let d(b) = 21*b**2 - 3*b. Let y be (72/80*-2)/((-6)/20). Determine y*x(c) + 10*d(c).
-42*c**2
Let p(a) = 2*a**2 - 4*a. Let n(k) = 5331*k**2 + 16*k - 1. Give -n(l) - 4*p(l).
-5339*l**2 + 1
Let o(d) = 4*d**2 - 4*d + 12. Let t(f) = -2*f**2 - 2*f + 3. Let c(z) = o(z) - 4*t(z). Let p(m) = 12*m**2 + 3*m. What is 2*c(s) - 3*p(s)?
-12*s**2 - s
Let v(b) = 29809*b**2 - b**3 - 59315*b**2 + 29505*b**2. Suppose 1 = -3*j + 13. Let x(h) = 5*h**2 + 5*h**3 + 0*h**3 + h - j*h**2. What is -3*v(f) - x(f)?
-2*f**3 + 2*f**2 - f
Let p(l) = -3*l**3 + l**2 + 86*l - 2. Let b(h) = -6*h**3 + 2*h**2 + 170*h - 4. What is -3*b(s) + 5*p(s)?
3*s**3 - s**2 - 80*s + 2
Let u(k) = 10*k**2 + 8*k - 45. Let l(r) = 3*r**2 + r + 1. Give 5*l(i) - u(i).
5*i**2 - 3*i + 50
Let o(f) = f + 50. Let s(n) = n + 99. Suppose -90*j - 55*j = 212*j + 1785. Determine j*o(q) + 3*s(q).
-2*q + 47
Let c(z) = 28*z**2 + 404*z - 61. Let l(f) = 3*f**2 + 45*f - 7. Determine -2*c(t) + 19*l(t).
t**2 + 47*t - 11
Let s(u) = 9*u - 4. Suppose 5*y + 3*w = -14, 0 = -2*w + 8 - 4. Let i(d) = 3*d. Let x(p) = y*i(p) + s(p). Let n(z) = -35*z - 49. Determine -4*n(k) + 49*x(k).
-7*k
Let t(x) = 17*x**2 + 9*x + 1. Let h(b) = -21*b**2 - 10*b - 2. Give -3*h(v) - 4*t(v).
-5*v**2 - 6*v + 2
Let l(f) = -11*f**3 - 6*f**2 - 5. Let n(t) = -6*t**3 - 3*t**2 - 3. Suppose -12*y + 36*y - 66 = 2*y. What is y*l(p) - 5*n(p)?
-3*p**3 - 3*p**2
Suppose 2*u - 5 = -1. Let l(i) = -16*i - 6. Suppose 14*m = 13*m - 3*v + 18, -m + 23 = 4*v. Let j(z) = 453 + 0*z + m*z - 452. Give u*l(y) + 11*j(y).
y - 1
Let l(m) = 6*m**3 + 17*m**2 - 17*m + 8. Let r(d) = 2*d**3 + 6*d**2 - 6*d + 3. Let t(g) = 477*g - 9523. Let z be t(20). What is z*r(y) - 6*l(y)?
-2*y**3 + 3
Let y(g) = 411*g**2 + 4*g - 21. Let i(n) = -1233*n**2 - 13*n + 73. What is 2*i(f) + 7*y(f)?
411*f**2 + 2*f - 1
Let o(d) = -667*d**3 - 9 + 384*d**3 - 5*d**2 + 5*d + 286*d**3. Let q(z) = -2*z**3 + 3*z**2 - 3*z + 4. Calculate 3*o(p) + 5*q(p).
-p**3 - 7
Let b(t) be the third derivative of t**5/60 - t**4/3 + 5*t**3/6 + 286*t**2. Let z(q) = q**2 - 7*q + 5. Give -6*b(o) + 7*z(o).
o**2 - o + 5
Let v(j) = -7*j - 11. Let b be v(1). Let i be b/5*40/96*-4. Let n(w) = -5*w + 4 + 4 - 3*w - 5*w**2 - 1. Let k(x) = 4*x**2 + 7*x - 6. Calculate i*n(o) + 7*k(o).
-2*o**2 + o
Let q(f) = -f**2 + 34*f + 201. Let o be q(-5). Let x(r) = 8*r**2 - 1. Let m(i) = 9*i**2 - 1. What is o*x(a) - 5*m(a)?
3*a**2 - 1
Let n(z) be the second derivative of -z**3/6 - z**2/2 + z. Let g(a) be the second derivative of -a**3/6 - a + 153. What is g(t) + 2*n(t)?
-3*t - 2
Let i(w) = -4*w**2 - 5*w - 11. Suppose -12*t - 96 = -0. Let o be (8 - (-5 + 10)) + 0 - t. Let c(b) = -2*b**2 - 3*b - 6. Determine o*c(n) - 6*i(n).
2*n**2 - 3*n
Let y(n) = 143*n**2 - 17*n - 514. Let k(s) = -86*s**2 + 10*s + 309. Determine 17*k(b) + 10*y(b).
-32*b**2 + 113
Let g be 1 + 1 - 4/(12/(-3)). Let w(p) = 0*p - 7*p - 1 - g*p + 9*p. Let n(b) = -b**2 + 3*b + 5. Let f = -27 + 31. What is f*w(o) + n(o)?
-o**2 - o + 1
Let o(f) = f**2 - f. Let x = 13 + -4. Let z(h) = 2*h**2 - 23*h - 4. Let n(k) = -24*k**2 + 306*k + 54. Let y(g) = 2*n(g) + 27*z(g). Give x*o(s) - y(s).
3*s**2
Let h(b) = -5*b**2 - 15 + 12 + 129*b - 65*b - 66*b. Let w(s) = -9*s**2 - 5*s - 5. Suppose 843*n - 851*n = 24. Calculate n*w(g) + 5*h(g).
2*g**2 + 5*g
Let c(k) = 9. Let r(s) = s + 64. Let n(o) = 7*c(o) - r(o). Let a(y) = -76*y - 38. What is -a(u) + 38*n(u)?
38*u
Let t(l) = 637*l. Let m(v) = 26*v - 40*v - 12*v + 101*v. What is 42*m(q) - 5*t(q)?
-35*q
Let i(p) = -7*p**3 + p**2 - 24*p - 2. Let d(j) = -20*j**3 + 3*j**2 - 74*j - 5. Give -5*d(r) + 14*i(r).
2*r**3 - r**2 + 34*r - 3
Let n(x) = -3*x**2 - 16*x - 4. Let l(o) = -2*o**2 - 15*o - 3. Let r(m) = 2*m**3 - 10*m**2 + 8*m - 43. Let z be r(5). Determine z*n(j) + 4*l(j).
j**2 - 12*j
Let k(b) = -b + 1. Suppose 2*h - 2*g = -3*g + 279, -285 = -2*h - 3*g. Let d = h - 137. Let w(a) = 3*a**2 + 3*a - 4. What is d*w(j) + 5*k(j)?
3*j**2 - 2*j + 1
Let l(m) = 9*m + 835. Let b(v) = -27*v - 2494. Give -2*b(g) - 7*l(g).
-9*g - 857
Let z(v) be the third derivative of 13*v**6/120 + v**5/15 + v**4/8 - 2*v**3/3 + 21*v**2. Let j(f) = -13*f**3 - 3*f**2 - 2*f + 3. What is 4*j(y) + 3*z(y)?
-13*y**3 + y
Let y(j) = -6*j**2 + 5*j + 6. Let v = -14214 - -14218. Let s(x) = 5*x**2 - 4*x - 7. Calculate v*y(g) + 5*s(g).
g**2 - 11
Let x(c) = 994*c**2 - 15*c + 5. Let a(z) = -497*z**2 + 6*z - 2. Calculate -5*a(g) - 2*x(g).
497*g**2
Let f be (6/8)/(2/8). Let t(r) = 56*r**f - r**2 + 4*r**2 - 49*r**3. Let x(w) = -14*w**3 - 7*w**2. What is 7*t(z) + 3*x(z)?
7*z**3
Let m(v) = 2*v**2 + v - 5. Suppose -95 = 118905*u - 118924*u. Let b(k) = -2*k**2 - 2*k + 4. Determine u*b(s) + 4*m(s).
-2*s**2 - 6*s
Let d(s) = -s - 2. Let a(x) = 1. Suppose 650 = 5*v + 515. Suppose 25*k = 34*k + v. Let g = 3 + -5. Determine g*d(y) + k*a(y).
2*y + 1
Let a(k) = -89*k - 1424. Let d(s) = 38*s + 713. What is 6*a(z) + 14*d(z)?
-2*z + 1438
Let o(p) = 41*p + 6. Let n(q) = -40*q - 10. Let z(c) = -2*n(c) - 3*o(c). Let a(w) = w. Determine -2*a(x) - z(x).
41*x - 2
Let d(x) be the first derivative of -x**3 - 8*x - 1. Let b(n) = 6611. Let k(i) = -1653. Let j(g) = b(g) + 4*k(g). Calculate 3*d(a) - 24*j(a).
-9*a**2
Let g(q) = -q + 13. Let w(o) = -2130*o - 1105. What is -510*g(a) - 6*w(a)?
13290*a
Let b(p) = -p**2 + 18*p - 59. Let k(c) = c + 3. Give b(u) - k(u).
-u**2 + 17*u - 62
Let m(v) = v**2 - 4*v - 40. Let y be m(9). Let d be 1/y*-2*-10 - 8. Let w(l) = -3*l + 1. Let i(o) = -3*o + 1. Determine d*i(c) + 5*w(c).
-3*c + 1
Let h = 139 - 130. Let d(j) = -1 + 40*j**2 - h*j - 41*j**2 + 1. Let w(k) = -k. Calculate d(n) - 6*w(n).
-n**2 - 3*n
Let n(r) = -r**3 + 6*r**2 + r - 5. Let c(d) = 3*d**3 - 17*d**2 - 3*d + 16. Let z be ((-12)/14)/((-121)/847). What is z*c(f) + 17*n(f)?
f**3 - f + 11
Let g(d) = 8*d - 11. Let v(c) = 6508*c + 1 + 0 - 4 - 3 - 6504*c. What is -4*g(q) + 7*v(q)?
-4*q + 2
Let h(i) = 106*i - 147. Let q(u) = 73*u - 101. Let f(x) = -11*h(x) + 16*q(x). Let n(v) | {
"pile_set_name": "DM Mathematics"
} |
a) + 5*p(a). Give v(q(n)).
8*n
Let u(w) = w. Let h(q) = -14373*q**2 + 6*q. Calculate h(u(c)).
-14373*c**2 + 6*c
Let l(q) be the third derivative of q**4/6 + 20*q**2 + 4*q. Let n(s) = -3*s**2 + 5. Determine l(n(t)).
-12*t**2 + 20
Let z(s) = -2*s**2 + s - 1495. Let o(t) = -3*t**2. Calculate z(o(p)).
-18*p**4 - 3*p**2 - 1495
Let p(j) = -3*j - 24. Let i be p(-9). Let h(m) = -i*m + 0*m + 6*m - m. Let k(c) = -8*c**2. Give h(k(a)).
-16*a**2
Let l(p) = -2 + 1 + 1 - p**2. Let d(m) = 73*m + 75*m - 152*m. Determine l(d(s)).
-16*s**2
Let c(o) = -o**2. Let w(y) = -52*y**2 + 10*y + 40. Determine w(c(m)).
-52*m**4 - 10*m**2 + 40
Let l(m) = 264848*m**2. Let s(k) = 4*k. Give s(l(u)).
1059392*u**2
Let l(i) = 3*i**2. Let b(n) = 15111*n. Give l(b(f)).
685026963*f**2
Let n(d) = 21*d**2 + 18*d**2 - 5*d**2. Let a(s) = -5*s + 21. Let b(p) = -2*p + 9. Let k(j) = -6*a(j) + 14*b(j). Calculate k(n(h)).
68*h**2
Let s(d) = -6*d + 331. Let i(t) = 2*t - 20. Determine i(s(b)).
-12*b + 642
Let j(x) be the first derivative of 11*x**3/3 - 3*x**2/2 - 161. Let z(o) = 4*o**2. Determine z(j(b)).
484*b**4 - 264*b**3 + 36*b**2
Let i(p) = p + 1. Let n(g) = 8*g**2 - 24*g - 24. Let l(k) = 24*i(k) + n(k). Let m(z) = 3. Let w(u) = -u - 4. Let v(r) = -4*m(r) - 3*w(r). Calculate v(l(s)).
24*s**2
Let o(v) = 0*v**2 + 7*v**2 - 11*v**2 - 5*v**2. Let r(x) = -5*x - x + 4*x + 4*x. What is o(r(g))?
-36*g**2
Let y be 6*((-3)/(9/(-1)))/1. Let k(l) = -4*l + 10*l**2 + 9*l**y + 4*l. Let d(q) = q. Determine d(k(n)).
19*n**2
Let v(z) = 107600*z**2 + 1600*z. Let c(i) = 403*i**2 + 6*i. Let j(p) = 800*c(p) - 3*v(p). Let b(l) = -2*l. Give j(b(a)).
-1600*a**2
Let l(t) be the second derivative of -19*t**3/6 + 67*t. Let k(m) = -41*m. What is k(l(r))?
779*r
Let r(j) be the second derivative of -5*j**3/3 - 3*j + 37. Let t = 2 + 1. Let a(x) = t*x - 2 - x + 2. What is a(r(z))?
-20*z
Let s(n) = n**2. Let v(l) = 269600*l. Let t(o) = 343*o. Let i(k) = -2359*t(k) + 3*v(k). Give s(i(d)).
113569*d**2
Let u(t) be the first derivative of t**3/2 + 10*t - 12. Let h(l) be the first derivative of u(l). Let x(r) = -2*r. Calculate h(x(g)).
-6*g
Let i(k) = 2*k. Let b(l) be the second derivative of -l**7/2520 + 5*l**4/12 + 28*l. Let g(r) be the third derivative of b(r). What is i(g(h))?
-2*h**2
Let o(d) = 7*d. Let s(z) = 2*z - 52. Let h be s(26). Let r(b) = h*b - 44*b**2 + 54*b**2 + 0*b. What is r(o(a))?
490*a**2
Let a(u) = u. Let r(s) = 8*s**2 - 3*s. Let q(i) = 6*a(i) + 2*r(i). Let l(m) = 8*m**2. Calculate l(q(f)).
2048*f**4
Let z(q) = 386831*q. Let p(b) = -2*b. Determine p(z(j)).
-773662*j
Let v(y) be the first derivative of -y**2/2 - 715. Let f(u) = -u + 96. Calculate v(f(a)).
a - 96
Let t(h) = 37680*h**2 + h. Let k(y) = y. What is t(k(g))?
37680*g**2 + g
Let v(z) = 6*z**2. Let g(t) = 5*t**2 - 7 - 9*t**2 + 7 - 16*t**2. Calculate v(g(w)).
2400*w**4
Let l(f) = -4*f**2. Let p be 0/2*4/8. Suppose p = 4*r + 4, 2*a + 3*a - 14 = 4*r. Let o(z) = 0*z**2 + z**a + z**2. What is o(l(n))?
32*n**4
Let z(y) = 298*y - 143*y - 133*y. Let p(d) = 10*d. Determine z(p(o)).
220*o
Let i(a) = a**2 - 3*a - 3. Let d be i(5). Let n(y) = -d*y + 7*y - y + 0*y. Let p(v) = 18*v. Calculate p(n(s)).
-18*s
Let h(u) = -142*u**2. Let z(s) = 1379*s**2. What is z(h(x))?
27806156*x**4
Let x(k) = -30*k - 3. Let a(r) = 24*r**2 - 18*r - 54. Let b(t) = -7*t**2 + 5*t + 15. Let v(s) = 5*a(s) + 18*b(s). Give x(v(q)).
180*q**2 - 3
Let n(g) = g**2 + 5*g + 5. Let i(r) = -4*r - 4. Let u(b) = 7*b + 7. Let w(m) = 5*i(m) + 2*u(m). Let x(q) = 6*n(q) + 5*w(q). Let j(t) = -t**2. Give x(j(a)).
6*a**4
Let y(l) = -4*l. Let r(b) = b**3 - 5*b**2 + 5*b + 1. Let g be r(4). Suppose -27 = -u - 5*d, 15 + 11 = 3*u + 4*d. Let n(a) = 2*a - u - 3 + g. Calculate n(y(k)).
-8*k
Let q(v) be the third derivative of 11*v**4/12 - 245*v**2. Let d(l) = 0 + 0 - l. Calculate q(d(n)).
-22*n
Let b be 1*(1 + 1 + 0). Let o(l) = -2*l**2 - l**2 + 11*l**b. Let c(m) = -11*m. Let w(t) = 2*t. Let n(h) = c(h) + 5*w(h). Give o(n(r)).
8*r**2
Let k(h) = -4*h**2 - h**2 + h**2 - 12 - 2*h**2. Let x(b) = 2*b**2. What is x(k(i))?
72*i**4 + 288*i**2 + 288
Let g(y) = -10*y. Let o(j) = 20763*j**2. Calculate g(o(f)).
-207630*f**2
Let n(d) = -834*d**2 - d - 833*d**2 + d + 1661*d**2. Suppose 20 = o + 4*o. Let y(j) = 2*j**2 + o*j**2 - 5*j**2. Determine y(n(u)).
36*u**4
Let f(z) = -10*z**2. Let h(v) = v**2 - 3*v + 3. Let q(p) = p**2 - 4*p + 4. Let b = 139 - 143. Let n = -6 - -9. Let c(i) = b*h(i) + n*q(i). Give c(f(y)).
-100*y**4
Suppose -13*d = -17*d + 56. Let f(l) = -4*l - 9*l - 3*l + d*l. Let k(w) = 21*w**2. Calculate f(k(q)).
-42*q**2
Let t(s) be the first derivative of -s**2/2 + 1. Let l(h) = -3571*h - 3560*h - 9*h**2 + 7131*h. Give t(l(r)).
9*r**2
Let b(z) = -2*z. Let w be (-64)/(-20) + 2/(-10). Let n = -1 + w. Let p(k) = 5*k**n + 2*k**2 - 2*k**2 - 3*k**2. Give b(p(a)).
-4*a**2
Let d(y) = 3*y. Let q(b) be the first derivative of 28*b**2 + 507. Determine d(q(w)).
168*w
Let z(f) = 2*f + 28. Let r(i) = -4*i - 1122. What is z(r(t))?
-8*t - 2216
Let f(o) be the first derivative of o**5/60 + 3*o**2 - 2. Let w(t) be the second derivative of f(t). Let b(q) = -2*q**2. Calculate b(w(d)).
-2*d**4
Let h(i) = 2*i**2. Let f(x) = x**2 - 4*x - 1. Let r(p) = -180*p**2 + 20*p + 5. Let g(k) = -20*f(k) - 4*r(k). What is g(h(z))?
2800*z**4
Let u(a) = -2*a. Let s(l) = 476*l**2 - 55*l + 1. Calculate s(u(f)).
1904*f**2 + 110*f + 1
Let h(j) = 10*j**2 + 10*j. Let g(b) = -b**2 - 2*b. Let z(t) = 10*g(t) + 2*h(t). Let i(d) = -7*d. Calculate i(z(s)).
-70*s**2
Let f(g) = g. Let h(d) = 83*d + 12997. Calculate h(f(m)).
83*m + 12997
Let z(j) = -126*j**2. Let f(y) = -103*y**2. What is f(z(q))?
-1635228*q**4
Let d(q) = -14*q. Let c(j) = -19*j**2 - 12*j - 4. Let x(p) = -759*p**2 - 483*p - 161. Let r(v) = -161*c(v) + 4*x(v). Give r(d(b)).
4508*b**2
Let c(f) = 49859*f**2. Let s(w) = -9*w**2. What is c(s(t))?
4038579*t**4
Let l(g) = 4*g**2 - 2*g**2 + g**2. Let v(r) be the first derivative of r**2/2 - 10. Let z(k) = -3*k. Let j(h) = 2*v(h) + z(h). Calculate j(l(a)).
-3*a**2
Let w(d) = -178*d. Let y(u) = -2079*u**2. Calculate y(w(f)).
-65871036*f**2
Let q(g) = g**2. Let n(i) = -2 - 7 - 3 - 58*i + 14. Determine n(q(p)).
-58*p**2 + 2
Let z(q) = 11*q**2. Let l(f) = -159*f - 12. Determine l(z(h)).
-1749*h**2 - 12
Let l(u) = 2*u**2. Let g(b) = -243*b + 36. Calculate g(l(j)).
-486*j**2 + 36
Let k(j) = j. Let t(g) be the second derivative of -16*g + 0*g**2 - 4/3*g**4 + 0*g**3 + 0. Give t(k(o)).
-16*o**2
Let s(o) be the third derivative of 0*o**3 + 0*o + 0*o**4 + 11/30*o**5 - 9*o**2 + 0. Let w(y) = 2*y. What is s(w(m))?
88*m**2
Let v(a) = 20*a**2 + 1. Let b(p) = 412*p**2 - 2. Determine b(v(c)).
164800*c**4 + 16480*c**2 + 410
Let m(t) = -2*t. Let y(p) = 9*p**2 - 3. Let v be (24/(-40))/((-1)/(-5)). Let s(r) = 18*r**2 - 5. Let i(c) = v*s(c) + 5*y(c). What is i(m(x))?
-36*x**2
Let b(s) = -s**2. Let v(i) = -8*i - 3115. Determine b(v(h)).
-64*h**2 - 49840*h - 9703225
Let k(g) = 2417*g. Let i(t) = -38*t + 1. What is i(k(x))?
-91846*x + 1
Let b(p) = -958*p + 955*p - 3 + 3. Let i(l) = -2*l + 145. Calculate b(i(y)).
6*y - 435
Suppose 4*m + 5*p = 447 + 191, -802 = -5*m - 4*p. Let x(g) = g**2 + 162*g - m*g. Let j(q) = 5*q. Determine j(x(w)).
5*w**2
Let z(g) = -52*g**2. Let f(p) = -75*p + 21. Let c(x) = 18*x - 5. Let s(n) = 21*c(n) + 5*f(n). Determine z(s(o)).
-468*o**2
Let j(r) = 2*r - 3. Let w(t) = t - 1. Let z(b) = j(b) - 3*w(b). Let u(k) = 4*k**2 + 9*k**2 + 7*k**2. What is z(u(d))?
-20*d**2
Let h(w) = -3*w**2 + 12*w - 12*w. Let c = -3 - -5. Let i(a) = -6*a**2 + a**c + 1 - 1. Determine h(i(b)).
-75*b**4
Let n(d) = 2*d**2 - 49*d. Let w(z) = -28*z - 20*z + 68*z - 21*z. Give n(w(q)).
2*q**2 + 49*q
Let m(w) = w. Let l = 251 - -95. Let j = l - 191. Let f(p) = -3*p**2 - j*p + 155*p. What is f(m(v))?
-3*v**2
Let u(p) = -p**2. Let s(i) = -5*i**2. Let w(t) = 2*s(t) - 9*u(t). Let c(y) be the first derivative of -3*y**2/2 - 1329. Calculate w(c(r)).
-9*r**2
Let d(b) be the first derivative of 2*b**3/3 + 82. Let g(x) = -9*x - 11. Let z(k) = -5*k - 6. Let c(y) = 6*g(y) - 11*z(y). What is d(c(h))?
2*h**2
Let w(q) = -2*q**2. Let t(u) = 6 + 7 + 11*u - 13. Calculate t(w(z)).
-22*z**2
Let p(z) = -5*z - 1. Let x(i) = -126*i - 9. Give x(p(c)).
630*c + 117
Let p(y) = -76*y - 2. Let q(v) = 6*v**2 - 5*v - 1 | {
"pile_set_name": "DM Mathematics"
} |
. Find the first derivative of 4*q**2 + 5*q + 214 - 11*q**2 + 2*q - i*q - 11*q**2 wrt q.
-36*q + 4
Let o = 134 + -73. Suppose -4*q - 3*t + o - 6 = 0, -2*t = 5*q - 67. What is the first derivative of q*a**2 + 9*a**2 + 0*a**2 + 5 + 13 wrt a?
44*a
Let t(h) = 8448*h - 14608. Let c(f) = 313*f - 541. Let a(z) = -55*c(z) + 2*t(z). What is the first derivative of a(w) wrt w?
-319
Find the third derivative of -7*a**2 + 79 - 73*a**3 + 36*a**5 - 11*a**3 + 57*a**3 + a**4 wrt a.
2160*a**2 + 24*a - 162
Let q = -50 - -53. Suppose 4*j + q*j - 4*j = 0. Find the first derivative of 5 + j - 16*i + 3 wrt i.
-16
Let m = -21 - -31. Let x = -250 + 252. Find the second derivative of 7*i**2 - 8*i**2 + 6*i - m*i**2 - 3*i**x wrt i.
-28
Let b(h) be the third derivative of h**9/252 + 229*h**8/84 - 13*h**5/30 - 7*h**3/2 - 1706*h**2. What is the third derivative of b(l) wrt l?
240*l**3 + 54960*l**2
Let w(q) be the first derivative of -q**4 - 211*q**3 - 1143*q**2/2 + 2*q + 11285. Find the second derivative of w(r) wrt r.
-24*r - 1266
Differentiate -122 + 47*w**2 - 116*w**2 - 71 + 32*w**2 - 6*w - 47 wrt w.
-74*w - 6
Suppose -2 = -z, -18 = -5*y - 0*y + z. Find the third derivative of -9250*j**4 - 64*j**6 + 9250*j**y + 397*j**6 - 74*j + j**2 wrt j.
39960*j**3
Let u(z) = 1917*z**3 - 218*z**2 - z - 6. Let x(i) = -7668*i**3 + 869*i**2 + 3*i + 27. Let a(s) = 9*u(s) + 2*x(s). What is the third derivative of a(l) wrt l?
11502
Let y(p) be the second derivative of 0 - 23/3*p**4 + 75*p + 0*p**2 - 37/6*p**3. Find the second derivative of y(s) wrt s.
-184
Let m(a) be the second derivative of 143*a**5/10 - 17*a**4/4 + 4*a**2 + 854*a. What is the third derivative of m(r) wrt r?
1716
Let s be (-2)/(-2) + -2 + 24/6. Let x(d) = -4*d - 45. Let m be x(-12). What is the second derivative of 9*a + 26*a**s - 13*a**m + 14*a + 18*a**3 wrt a?
186*a
Let t(c) be the first derivative of 112*c**4 - 1827*c**2/2 + 1429. Find the second derivative of t(a) wrt a.
2688*a
Suppose 4*g = q, 4*q + 5*g - 18 = 3*g. Differentiate 140*n**q + 77 - 103 - 115 wrt n.
560*n**3
Let m(i) = 9*i**2 + 24*i - 5. Let p(s) = 26*s**2 + 71*s - 15. Let o(b) = -8*m(b) + 3*p(b). Let l be o(-4). Differentiate -l*a - 6*a + 2*a + 0*a - 18 wrt a.
-11
Let i(w) be the first derivative of -2579*w**3/3 - 3*w**2 - 315*w + 4473. What is the second derivative of i(k) wrt k?
-5158
What is the third derivative of 100 + 344*b**2 + 1566*b**3 - 100 + 1470*b**2 wrt b?
9396
Let c = -463 - -474. Let u(z) = 260*z**2 - 176*z + 11. Let d(r) = -129*r**2 + 88*r - 6. Let b(k) = c*d(k) + 6*u(k). Find the second derivative of b(p) wrt p.
282
Let s(o) = 3147*o**3 - 185*o**2 + 5*o. Let l(n) = -3145*n**3 + 184*n**2 - 4*n. Let i(z) = -3*l(z) - 2*s(z). What is the third derivative of i(d) wrt d?
18846
Suppose -s + 3*y + 8 = 0, -2*s = 14*y - 18*y - 12. What is the third derivative of 112*i**4 + 39*i**s - 112*i**4 + 172*i**5 - 130*i**2 wrt i?
10320*i**2
Let y(i) = -3933*i**2 + 10*i + 12266. Let u(v) = 1966*v**2 - 6*v - 6123. Let p(z) = 7*u(z) + 4*y(z). What is the first derivative of p(g) wrt g?
-3940*g - 2
What is the third derivative of 2*q**2 - 2*q**5 - 1608*q**4 + 986*q**4 - q - 69 - q**5 + q**2 wrt q?
-180*q**2 - 14928*q
What is the third derivative of 4*t + 14396*t**4 + 1 + 1093*t**2 - 5*t - 1559*t**2 + 763*t**2 wrt t?
345504*t
Let l(o) be the first derivative of 31*o**3/3 - 7*o**2/2 - 51*o - 11. Let t(h) = 15*h**2 - 3*h - 26. Let n(p) = 6*l(p) - 14*t(p). Differentiate n(s) wrt s.
-48*s
Let z(x) = -32*x + 192. Let v be z(6). Let l(q) be the third derivative of -5/24*q**4 + v + 0*q - 13*q**2 + 11/6*q**3. Find the first derivative of l(p) wrt p.
-5
Suppose -16*c = 15*c - 992. What is the derivative of -25 - 41*x + 40*x - 11 - c*x - 141*x wrt x?
-174
Suppose -3 = 3*o - 12. Suppose -5*g - o*v + 33 = 0, -4*g + 3*v = -15 - 6. What is the third derivative of 4*i**2 + 2*i**3 - 30*i**g + 40*i**6 - 2*i**3 wrt i?
1200*i**3
Let t(h) be the second derivative of -3*h**8/28 + 55*h**7/42 - h**4/12 - 65*h**3/6 - 312*h - 2. What is the third derivative of t(c) wrt c?
-720*c**3 + 3300*c**2
Let o(z) = 7*z**2 + 3*z. Let c be o(-1). What is the third derivative of c*j**3 - 22*j**2 - 5*j**6 + 3*j**6 + 55*j**2 wrt j?
-240*j**3 + 24
Let w(p) be the second derivative of -11*p**7/42 + 5*p**4/12 - 917*p**3/6 - 35*p + 12. Find the second derivative of w(j) wrt j.
-220*j**3 + 10
What is the second derivative of -9*u**4 + 267*u - 7*u**4 - 8*u**4 + 22*u**4 - 2080*u**5 - 952*u wrt u?
-41600*u**3 - 24*u**2
Let h = -86 - -227. Let v = 144 - h. Find the second derivative of -341*x**v - 7*x + 310*x**3 - 2*x + 2*x wrt x.
-186*x
Suppose 3*i + 0*i = -i. Suppose 8*q + i*q = q. Find the first derivative of 4 - 4 + 2*d**4 + q - 6 wrt d.
8*d**3
Let x(i) = -51*i**4 - 6*i**3 + i + 2729. Let q(j) = -j**4 - 2*j**3 + j. Let g(h) = 3*q(h) - x(h). What is the first derivative of g(r) wrt r?
192*r**3 + 2
Let z(s) be the first derivative of 29*s**4/2 + 5*s**3/3 + s**2/2 + 1248*s - 4844. Find the second derivative of z(c) wrt c.
348*c + 10
Let s(k) = 5*k - 26. Let i be s(6). What is the first derivative of 24*v**i + v**4 + 9*v**4 + 82 + 28*v**4 wrt v?
248*v**3
Let x(d) = d**2 - 8*d - 66. Let p be x(15). What is the second derivative of 24*z**5 + 12*z**5 + 1 - 304*z - p*z**5 - 1 - 15*z**4 wrt z?
-60*z**3 - 180*z**2
Let t(y) = 15*y - 9. Let b be t(4). Find the third derivative of 26 - 11*h**2 + 25 + 5*h**4 - 3*h - 2*h**6 - b wrt h.
-240*h**3 + 120*h
Let n(v) = 331*v**2 - 534*v + 10. Let y(o) = -5628*o**2 + 9072*o - 168. Let h(u) = -84*n(u) - 5*y(u). What is the second derivative of h(s) wrt s?
672
Let a = -85 + 289. Let n be (4/(-6))/((-17)/a). Find the second derivative of 3*y - 215*y**3 + 2 + 32*y**4 - n + 215*y**3 wrt y.
384*y**2
Suppose -5*k + 5 = 3*m - 6*m, m = -4*k + 21. What is the third derivative of -18*c**m + 44*c**2 + 4*c**5 - 12*c**5 + 2*c**5 wrt c?
-1440*c**2
Let l(n) = 25*n + 1. Let w(c) = 4294*c**2 + 1411*c - 5. Let x(t) = -5*l(t) - w(t). What is the second derivative of x(a) wrt a?
-8588
What is the second derivative of 0*n + 40*n**5 - 58*n**5 - 2*n - 314 + 5*n**2 - 20*n**2 wrt n?
-360*n**3 - 30
Let i(m) be the first derivative of -17*m**4/12 + 27*m**2 - 53*m - 52. Let p(x) be the first derivative of i(x). Find the first derivative of p(v) wrt v.
-34*v
Suppose -3*z - 18 = -81. Suppose -3*y = 0, -2*u + 3*u + 4*y - 19 = 0. What is the second derivative of z*q**5 - 11*q**5 - u*q**5 - 23*q wrt q?
-180*q**3
What is the second derivative of -11*g**3 - 4018*g + 4017*g + 9*g**5 + 5*g**4 - 2*g**2 + 5*g**2 + 11*g**3 + 1104 wrt g?
180*g**3 + 60*g**2 + 6
Let a be 2 + 15/((-15)/(-4)). Let r(o) = 112*o**2 + 7*o + 40. Let n(p) = -p**2 + p - 1. Let c(b) = a*n(b) - r(b). Find the second derivative of c(d) wrt d.
-236
Find the third derivative of 2775*j**2 + 8 + 13 - 2116*j**4 + 15 - 36 wrt j.
-50784*j
Let a(o) = 1066*o**3 + 5*o**2 + 48*o + 191. Let q(s) = s**2 + 9*s. Let m(n) = -a(n) + 5*q(n). Find the second derivative of m(g) wrt g.
-6396*g
Find the third derivative of -173*a**5 + 552*a**2 - 67*a**5 - 1968*a**2 wrt a.
-14400*a**2
Let h(d) be the third derivative of -d**6/120 - d**5/15 + 5*d**4/12 - 5*d**3/3 - 13*d**2. Let y be h(-6). Differentiate 16 - 3*m - y*m + 6 with respect to m.
-5
Find the second derivative of 4598*o + 1 + 0*o**3 + 2993*o**2 - 8*o**3 - 3009*o**2 - 1 wrt o.
-48*o - 32
Let o(y) be the second derivative of -7301*y**3/6 + 6253*y**2/2 + 122*y - 6. What is the first derivative of o(s) wrt s?
-7301
Suppose -k + 4 = -c, 5*c + 2 = k - 2. Let w(r) be the first derivative of c*r**2 + 0*r - 10/3*r**3 - 4*r**4 - 5. What is the third derivative of w(q) wrt q?
-96
What is the second derivative of 191034 - 2918*m - 13050*m**2 - 382066 + 191033 wrt m?
-26100
Let w = 219 + -145. Let r be -3 - 50/(-18) - w/(-9). What is the third derivative of 71*l**3 - 50*l**3 - 39*l**3 + r*l**2 wrt l?
-108
Let g(h) = 1441*h**4 - 9858*h - 40. Let n(m) = -4323*m**4 + 29572*m + 128. Let x(q) = 16*g(q) + 5*n(q). What is the second derivative of x(z) wrt z?
17292*z**2
Suppose 0 = 5*v - 5*w - 335, -2*v + 58 + 58 = 4*w. What is the first derivative of -4*n**4 + 27 + 8*n**4 + 21*n**4 + v wrt n?
100*n**3
Let f(r) = 1905*r - 1767. Let h(g) = -2*g. Let y(n) = f(n) - h(n). Differentiate y(w) with respect to w.
1907
Find the second de | {
"pile_set_name": "DM Mathematics"
} |
2.
49
Simplify (sqrt(190) + -1*sqrt(190)*-3)/sqrt(10).
4*sqrt(19)
Simplify (-1 + sqrt(1377) + -1 + 2*(-1 + sqrt(272)))**2.
-136*sqrt(17) + 4929
Simplify 3 + -4 + sqrt(304) + 4.
3 + 4*sqrt(19)
Simplify -1*sqrt(45)*6.
-18*sqrt(5)
Simplify 1 + sqrt(512).
1 + 16*sqrt(2)
Simplify sqrt(38)/sqrt(2)*6*2.
12*sqrt(19)
Simplify -5*(sqrt(500) + (sqrt(500) - (sqrt(500) + 0)) + 2)**2.
-2520 - 200*sqrt(5)
Simplify (-2*sqrt(3400) - sqrt(3400))/(sqrt(4)/sqrt(2)*4).
-15*sqrt(17)/2
Simplify 1 + (sqrt(243) + 3)**2.
54*sqrt(3) + 253
Simplify (sqrt(65)/(sqrt(35)/(sqrt(7)*2)))**2.
52
Simplify -1*sqrt(17) + sqrt(17) + -5 + sqrt(34)/sqrt(2) + 5.
sqrt(17)
Simplify 0 + (-2 + sqrt(17)*-1 - (1 + sqrt(17) + -1)).
-2*sqrt(17) - 2
Simplify sqrt(45)/(sqrt(441)*6 + sqrt(441)).
sqrt(5)/49
Simplify (-5*sqrt(16)*2)/(sqrt(72)*6).
-5*sqrt(2)/9
Simplify ((sqrt(500) + sqrt(500) + (sqrt(500) + sqrt(500) + 1 - sqrt(500)) + sqrt(500) + -4)*-6)**2*-4.
-1153296 + 34560*sqrt(5)
Simplify (sqrt(56) + (2*sqrt(5600) - sqrt(5600) - sqrt(5600)))/(-1*sqrt(8)*-1).
sqrt(7)
Simplify 3*((sqrt(351)/(sqrt(27)/sqrt(3) + sqrt(9)))/sqrt(3))**2.
39/4
Simplify (sqrt(204)*2*-4)/sqrt(12)*3.
-24*sqrt(17)
Simplify ((sqrt(12)*2*5)/(sqrt(44)/(sqrt(44)/sqrt(4))) + 1)**2.
20*sqrt(3) + 301
Simplify (1*-1*sqrt(38)/sqrt(2)*-5)**2.
475
Simplify (sqrt(224)*-1)/sqrt(7).
-4*sqrt(2)
Simplify (sqrt(30) + -2*sqrt(4320))/(sqrt(12)/sqrt(98)).
-161*sqrt(5)
Simplify (0 + sqrt(1539)*2 + sqrt(1539))*3.
81*sqrt(19)
Simplify ((sqrt(180) + -1)*-3 + sqrt(180))**2.
-72*sqrt(5) + 729
Simplify (sqrt(51)/(sqrt(3) - (sqrt(3) - sqrt(75)*3)))**2.
17/225
Simplify (sqrt(320) - 2*sqrt(320)*4) + sqrt(20)/sqrt(4) + 2 + -5.
-55*sqrt(5) - 3
Simplify 1*sqrt(27)*-1 + sqrt(27).
0
Simplify -5*(2 + sqrt(1584)).
-60*sqrt(11) - 10
Simplify 3 + (-5*sqrt(13)*-2)**2.
1303
Simplify (-1 + sqrt(5))*4*-6 + (1 + sqrt(5) + 3)**2 + -4.
-16*sqrt(5) + 41
Simplify ((sqrt(84) - (sqrt(84) + 6*2*sqrt(84))) + sqrt(84))/(6*(sqrt(12) + sqrt(12)*1 - sqrt(12)) + sqrt(12)).
-11*sqrt(7)/7
Simplify (sqrt(243)*2 + 4)**2.
144*sqrt(3) + 988
Simplify 4 + (-4 + -2*sqrt(180) - (sqrt(180) - ((-1 + sqrt(180))**2 + 1) - sqrt(180))).
-24*sqrt(5) + 182
Simplify (2*sqrt(72)/sqrt(4))/sqrt(6)*3.
6*sqrt(3)
Simplify (1 + sqrt(567)*-2)**2.
-36*sqrt(7) + 2269
Simplify ((sqrt(21) - (-2*(sqrt(63)/sqrt(3) + sqrt(21)) - sqrt(21)))/(-1*sqrt(3)*3))**2.
28
Simplify (1 + sqrt(17))*4 + -1 + sqrt(612).
3 + 10*sqrt(17)
Simplify -4*(4*sqrt(26))/sqrt(2).
-16*sqrt(13)
Simplify (-4*sqrt(7) - sqrt(7)) + -2 + 0.
-5*sqrt(7) - 2
Simplify (4 + sqrt(72) + -2 + sqrt(72) + sqrt(72))**2.
72*sqrt(2) + 652
Simplify (sqrt(425) - (sqrt(425) + -1))*-4 + 4*2*(0 + sqrt(17) + sqrt(17)).
-4 + 16*sqrt(17)
Simplify (-3 + (2 + sqrt(26)/sqrt(2) - sqrt(13)))**2.
1
Simplify 0 + sqrt(171) + -4.
-4 + 3*sqrt(19)
Simplify (sqrt(275)*-1)**2*-1 - (-1 + (sqrt(275) - (sqrt(275) - -3*sqrt(275))))**2.
-2751 - 30*sqrt(11)
Simplify ((sqrt(304) + 1)**2 - sqrt(304) - sqrt(304)) + (sqrt(19) - (sqrt(19) + sqrt(2736)*3)**2).
-25706 + sqrt(19)
Simplify (4 + (sqrt(7) - sqrt(7)*-3))*4.
16 + 16*sqrt(7)
Simplify sqrt(5) + (sqrt(320) - sqrt(5)) + -1 - (sqrt(5)*2 + 4).
-5 + 6*sqrt(5)
Simplify (sqrt(704) + 4*(sqrt(704) - (sqrt(704) + -1)))**2*-4*6.
-17280 - 1536*sqrt(11)
Simplify ((sqrt(847) + sqrt(847) + 4)*6)**2.
6336*sqrt(7) + 122544
Simplify ((sqrt(135)/sqrt(3))**2 - sqrt(45)) + sqrt(80) + 2*sqrt(80) + sqrt(80).
13*sqrt(5) + 45
Simplify (sqrt(20)/(sqrt(28)/sqrt(175)))**2.
125
Simplify ((-1*sqrt(119))/sqrt(7))**2 + 5*(sqrt(68))**2.
357
Simplify (sqrt(567) - ((sqrt(567) - (sqrt(567) + 0)) + 1))**2.
-18*sqrt(7) + 568
Simplify (-4 + sqrt(63)/(sqrt(9) - sqrt(18)/sqrt(2)*-5))**2.
-4*sqrt(7)/3 + 583/36
Simplify (sqrt(34)/(sqrt(8)/sqrt(4)) - (sqrt(833) - (-2 + sqrt(833) - sqrt(833))))*-6.
12 + 36*sqrt(17)
Simplify (sqrt(17)*1)**2 + 3 - (sqrt(34)/sqrt(2) + -2).
-sqrt(17) + 22
Simplify (sqrt(684) - -2*sqrt(684))**2 - (sqrt(19) + (sqrt(209) + sqrt(209)*2 - sqrt(209))/sqrt(11)).
-3*sqrt(19) + 6156
Simplify sqrt(75) + sqrt(75) + -3 + -3.
-6 + 10*sqrt(3)
Simplify sqrt(19) + (sqrt(19) - (sqrt(2736)*-2 - sqrt(19)))**2 - (sqrt(304) + 0)**2.
sqrt(19) + 12540
Simplify (((0 + sqrt(11))*5*-2)**2 + -1)*2.
2198
Simplify -2*2*sqrt(1700).
-40*sqrt(17)
Simplify -5 + 2*sqrt(320).
-5 + 16*sqrt(5)
Simplify -1 + (sqrt(76)*1)/sqrt(4).
-1 + sqrt(19)
Simplify -5 + (2 + sqrt(245))**2.
28*sqrt(5) + 244
Simplify (-5*2*sqrt(119))/(2*sqrt(7)*2).
-5*sqrt(17)/2
Simplify (0 + sqrt(98) + 1*sqrt(98))**2 + -5.
387
Simplify -5 + (5 + -4*-3*sqrt(44))**2.
240*sqrt(11) + 6356
Simplify 6*(3 + 2 + sqrt(5)).
6*sqrt(5) + 30
Simplify (2 + -1 + sqrt(147) + -4)**2*-2.
-312 + 84*sqrt(3)
Simplify 2 + (sqrt(19) + -1)*3.
-1 + 3*sqrt(19)
Simplify ((sqrt(5) + 1*sqrt(5))*-1)**2 + -5.
15
Simplify 3*(sqrt(20) + sqrt(5) + -5).
-15 + 9*sqrt(5)
Simplify sqrt(91)/(sqrt(7) - (sqrt(378)/sqrt(6) + sqrt(63))).
-sqrt(13)/5
Simplify ((sqrt(190) - sqrt(190)*1)*-4)/(sqrt(120)/sqrt(300)).
0
Simplify (sqrt(150)/sqrt(5)*5 - sqrt(30))/(sqrt(6) + 2*sqrt(54)).
4*sqrt(5)/7
Simplify (1 + (((2*sqrt(104))/sqrt(8))**2 + sqrt(13) - sqrt(13)))*-6.
-318
Simplify (sqrt(288) - (sqrt(288) + -3))**2 - sqrt(4)/sqrt(2)*6.
-6*sqrt(2) + 9
Simplify -2 + sqrt(12)/sqrt(100).
-2 + sqrt(3)/5
Simplify (-2 + ((sqrt(33)*1 - sqrt(33)) + sqrt(33))/sqrt(11))**2.
-4*sqrt(3) + 7
Simplify (sqrt(102) - 2*sqrt(102)*1)/(sqrt(30)/sqrt(5)*-1).
sqrt(17)
Simplify (2 + sqrt(192)*-2)**2 - sqrt(30)/(((sqrt(90) - sqrt(10)) + sqrt(10))*5).
-961*sqrt(3)/15 + 772
Simplify ((sqrt(117) + sqrt(117)*-1)*6)/(sqrt(225)*-2).
0
Simplify -4*(-1 + 1*sqrt(637)).
-28*sqrt(13) + 4
Simplify -3 + (sqrt(68)*2 + sqrt(68) - sqrt(68))/sqrt(4).
-3 + 2*sqrt(17)
Simplify ((sqrt(102)*-2*-5)/sqrt(6))**2.
1700
Simplify sqrt(75) + (sqrt(75) + 2)*-1 - (sqrt(75) + -1 + sqrt(75))*6.
-60*sqrt(3) + 4
Simplify (sqrt(3) - 1*sqrt(3)*-2)*-4.
-12*sqrt(3)
Simplify (sqrt(448) + 0 + -6*(1 + sqrt(7)))*6.
-36 + 12*sqrt(7)
Simplify sqrt(143)/(sqrt(11) + sqrt(99)/(3*sqrt(9))).
3*sqrt(13)/4
Simplify (sqrt(2) + 2 + 2)**2 + -4.
8*sqrt(2) + 14
Simplify 1 + (-1*(-1 + sqrt(2)) + sqrt(2))**2 + (sqrt(242) - (sqrt(242) + 0)).
2
Simplify (6*(-1*sqrt(91) + sqrt(91)))/(sqrt(875)/sqrt(5)).
0
Simplify ((sqrt(272) - -1*sqrt(272)) + sqrt(425)*-3)**2.
833
Simplify ((sqrt(225)*-5)/(sqrt(3) + sqrt(243)*-1))**2.
1875/64
Simplify (1*sqrt(85)*2 - sqrt(85))/(sqrt(25)/(-1*sqrt(5)) - sqrt(5)).
-sqrt(17)/2
Simplify (sqrt(891)*2 + sqrt(891) + 5)**2.
270*sqrt(11) + 8044
Simplify sqrt(684)*-3 - sqrt(19) - (sqrt(133)/(2*sqrt(7)))**2.
-19*sqrt(19) - 19/4
Simplify (0 + sqrt(112) + 3)*3.
9 + 12*sqrt(7)
Simplify -2 + sqrt(468) - (-3*sqrt(1300) - sqrt(1300)).
-2 + 46*sqrt(13)
Simplify (sqrt(250)*-6)/(sqrt(2)*-3*5).
2*sqrt(5)
Simplify (sqrt(68) + 4*sqrt(68)*6 + sqrt(68))/sqrt(4)*-4.
-104*sqrt(17)
Simplify ((2*sqrt(119))/sqrt(7) - (sqrt(612)*-2)**2) + -3.
-2451 + 2*sqrt(17)
Simplify (-2 + sqrt(12) + 0)**2 - sqrt(12).
-10*sqrt(3) + 16
Simplify (sqrt(833) + sqrt(833) + -2)**2 - (-2*sqrt(68))**2.
-56*sqrt(17) + 3064
Simplify -2*sqrt(25)/(sqrt(20)/sqrt(4)).
-2*sqrt(5)
Simplify ((sqrt(352) + sqrt(352)*-2)/sqrt(8))/((sqrt(196) + (sqrt(196)*1 - sqrt(196)) - sqrt(196) - sqrt(196)) + sqrt(4)).
sqrt(11)/6
Simplify ((sqrt(18) - sqrt(2))**2 + -3 + -4 + sqrt(6)/sqrt(3))*5.
5 + 5*sqrt(2)
Simplify (sqrt(3600)*-2)/((sqrt(160)/sqrt(4))/sqrt(8)).
-24*sqrt(5)
Simplify -3*sqrt(1377)*-4 + sqrt(1377).
117*sqrt(17)
Simplify sqrt(2736) - -5*3*sqrt(2736) - sqrt(2736).
180*sqrt(19)
Simplify (sqrt(48)/sqrt(4) + 2)*-1.
-2*sqrt(3) - 2
Simplify -1*(0 + sqrt(11) + 0).
-sqrt(11)
Simplify (sqrt(800) + 2)**2.
80*sqrt(2) + 804
Simplify (sqrt(26) - sqrt(156)/(sqrt(24)/sqrt(4)))/(sqrt(96)/sqrt(3)).
0
Simplify (sqrt(189)/(-2*sqrt(7)))/sqrt(9) + 2.
-sqrt(3)/2 + 2
Simplify (2*sqrt(1134))/sqrt(2).
18*sqrt(7)
Simplify ((sqrt(7) + -1 + 2)*3*-4)**2.
288*sqrt(7) + 1152
Simplify sqrt(84)/sqrt(108) - (sqrt(175) - (sqrt(175) + -1 + sqrt(175)))**2.
-176 + 31*sqrt(7)/3
Simplify 0 + 3 + sqrt(441)/(sqrt(7) - sqrt(7)*2).
-3*sqrt(7) + 3
Simplify (sqrt(539)*3 - (sqrt(88)/(-1*sqrt(8)))**2) + 5.
-6 + 21*sqrt(11)
Simplify (sqrt(27) - (sqrt(243) + sqrt(243)*-2))/((sqrt(90)*2)/sqrt(10)).
2*sqrt(3)
Simplify ((sqrt(84) - sqrt(21))*-6)/(2*sqrt(147)).
-3*sqrt(7)/7
Simplify -3*((sqrt(208) - (-4*1*sqrt(208))**2) + -5 | {
"pile_set_name": "DM Mathematics"
} |
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