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culate the lowest common multiple of 4126386 and 330.
20631930
What is the smallest common multiple of 56940 and 146876?
28640820
Calculate the smallest common multiple of 12290980 and 23352862.
233528620
Calculate the lowest common multiple of 191376 and 8101584.
24304752
What is the lowest common multiple of 13095687 and 2829?
301200801
Calculate the common denominator of 62/14266149 and 7/52116.
2453777628
Calculate the lowest common multiple of 1140285 and 110.
25086270
What is the common denominator of 87/674168 and -97/13442?
8764184
What is the lowest common multiple of 1590670 and 18?
14316030
Calculate the smallest common multiple of 39515 and 158929330.
158929330
Find the common denominator of 33/1930964 and 107/1517186.
21240604
What is the common denominator of 1/87448 and -151/498?
21774552
What is the common denominator of -43/48444839 and 27/7?
339113873
Calculate the common denominator of -67/78 and -19/2046044.
6138132
Calculate the common denominator of 89/117900 and 97/130476.
9785700
What is the least common multiple of 236844 and 333336?
9000072
What is the common denominator of 7/44705274 and 43/134115822?
134115822
Find the common denominator of -13/50016 and 101/2592.
1350432
Find the common denominator of -157/28308 and -97/27994.
396227076
Find the common denominator of 19/125157064 and 79/31289266.
125157064
Find the common denominator of -15/26252164 and -49/6.
78756492
Find the common denominator of -19/5380806 and -31/2690403.
5380806
What is the lowest common multiple of 368430 and 4665?
114581730
Calculate the least common multiple of 62862312 and 12037464.
565760808
What is the common denominator of -31/154 and 16/2123023?
46706506
What is the common denominator of -56/4924935 and 95/1969974?
9849870
Calculate the common denominator of -14/87473 and 83/7198.
629630654
Find the common denominator of 45/5706268 and 39/40.
57062680
Calculate the common denominator of 109/1086 and 41/19908.
3603348
Find the common denominator of 41/936 and 36/98353.
92058408
What is the smallest common multiple of 15 and 22718249?
340773735
What is the least common multiple of 190428800 and 2856432?
571286400
Calculate the smallest common multiple of 62529 and 29838.
621913434
What is the common denominator of 113/60 and 131/26329110?
52658220
Find the common denominator of 73/690302 and -41/12040964.
951236156
What is the common denominator of 1/109200 and 85/16206?
294949200
What is the common denominator of -99/4 and -23/16796786?
33593572
What is the lowest common multiple of 980 and 65296?
2285360
Calculate the least common multiple of 1246608 and 1357575.
716799600
Calculate the lowest common multiple of 18654868 and 20.
93274340
Calculate the smallest common multiple of 346852 and 78830.
1734260
Calculate the lowest common multiple of 2799 and 2031.
1894923
What is the least common multiple of 8809218 and 9788020?
88092180
Find the common denominator of -91/464 and 87/726944.
21081376
Calculate the common denominator of 37/4147360 and 83/4562096.
45620960
Calculate the lowest common multiple of 27 and 1825614.
5476842
What is the lowest common multiple of 2141530 and 6424590?
6424590
What is the smallest common multiple of 88487514 and 176975028?
176975028
Calculate the smallest common multiple of 933155 and 53936359.
269681795
Calculate the smallest common multiple of 41234 and 23709550.
23709550
Find the common denominator of 21/5388364 and -57/26941820.
26941820
Calculate the least common multiple of 86973 and 78768.
4174704
What is the lowest common multiple of 27560694 and 27560694?
27560694
What is the common denominator of 103/222 and 125/238668?
8830716
Calculate the common denominator of -12/6061 and -17/1290157.
37414553
Calculate the common denominator of -143/126 and 83/444360.
1333080
What is the smallest common multiple of 7414 and 44726?
15072662
Calculate the common denominator of 143/33906 and -97/17122530.
17122530
What is the common denominator of -93/40868 and 61/78976?
806897792
What is the smallest common multiple of 20768795 and 5?
20768795
Calculate the common denominator of 64/363 and 56/180801.
21876921
What is the least common multiple of 2508477 and 27?
22576293
Calculate the lowest common multiple of 14048 and 14569.
204665312
Find the common denominator of 59/160354772 and -53/369.
1443192948
Calculate the smallest common multiple of 4472115 and 5205.
1551823905
What is the smallest common multiple of 223984 and 43424898?
347399184
Calculate the lowest common multiple of 173568 and 1704.
12323328
Calculate the lowest common multiple of 549072 and 2232.
549072
Calculate the smallest common multiple of 513360 and 152892.
70330320
What is the smallest common multiple of 40328442 and 253638?
40328442
Calculate the common denominator of -101/1023474 and 34/14840373.
29680746
Find the common denominator of 19/556992 and -47/556992.
556992
Calculate the common denominator of -1/12 and -37/254178040.
762534120
Find the common denominator of 43/497325 and -71/2586090.
12930450
Find the common denominator of -97/173512668 and -29/22.
1908639348
What is the common denominator of 77/34168448 and 55/654?
102505344
Find the common denominator of -39/15194968 and 8/17094339.
136754712
What is the smallest common multiple of 598 and 250514?
74903686
What is the common denominator of 3/1190764 and -13/84?
25006044
Calculate the smallest common multiple of 26785 and 1200.
6428400
Calculate the smallest common multiple of 71352 and 5934.
70567128
Find the common denominator of -73/14128533 and -55/11799.
324956259
Calculate the smallest common multiple of 20559616 and 203.
596228864
What is the lowest common multiple of 79212 and 5190272?
108995712
What is the lowest common multiple of 5560 and 8763116?
87631160
Find the common denominator of 51/28304 and 31/4872.
594384
Find the common denominator of 151/88068 and -8/6230811.
24923244
What is the smallest common multiple of 1489968 and 1296824?
70028496
Calculate the least common multiple of 10 and 852378382.
4261891910
Calculate the common denominator of -25/7813098 and 119/432.
62504784
Calculate the common denominator of -79/90814 and 41/16558.
44226418
Calculate the common denominator of -67/3989403 and 43/54.
23936418
Calculate the lowest common multiple of 1788 and 40230.
80460
Calculate the common denominator of -49/341734 and -37/862410.
456214890
What is the smallest common multiple of 4393532 and 1997060?
21967660
What is the common denominator of -67/10 and -57/464504846?
2322524230
What is the common denominator of 52/394713 and 137/30?
3947130
Find the common denominator of -53/4104 and -77/1397868.
25161624
What is the common denominator of 115/1482 and -89/1330914?
25287366
Calculate the common denominator of -61/207492615 and 91/1304985.
207492615
Calculate the common denominator of 123/45560 and 27/6230330.
24921320
Find the common denominator of 71/878 and -27/3592484.
1577100476
Calculate the common denominator of 13/20568190 and -19/3720.
246818280
Calculate the lowest common multiple of 335000 and 239860.
59965000
Calculate the smallest common multiple of 365783990 and 10.
365783990
What is the lowest common multiple of 15 and 73139160?
73139160
Find the common denominator of 43/844066 and -113/20.
8440660
Calculate the common denominator of 19/914855 and 103/20610.
16467390
Find the common denominator of 55/555927 and 19/7506.
1390929354
Calculate the smallest common multiple of 461580 and 10385550.
20771100
Calculate the lowest common multiple of 48 and 971236.
11654832
Calculate the common denominator of 61/630 and 53/6854085.
13708170
What is the smallest common multiple of 44535 and 3447009?
17235045
What is the common denominator of -5/2553817 and -59/74564?
10215268
What is the lowest common multiple of 36744 and 174?
1065576
What is the common denominator of -37/9126 and -71/48294?
24485058
Calculate the smallest common multiple of 138492 and 59936260.
539426340
What is the common denominator of 55/3370098 and 21/67963643?
407781858
Find the common denominator of 41/611675 and 83/56900.
2446700
What is the common denominator of 35/1216 and -67/458176?
8705344
Calculate the smallest common multiple of 91 and 7921420.
55449940
Find | {
"pile_set_name": "DM Mathematics"
} |
2 a and 1 z.
9/136
Calculate prob of picking 1 b and 1 r when two letters picked without replacement from {r: 5, b: 11}.
11/24
Four letters picked without replacement from {o: 9, l: 2}. What is prob of picking 4 l?
0
Four letters picked without replacement from qnnqqgqnnznnnnqzznnn. Give prob of picking 1 g and 3 n.
11/323
Calculate prob of picking 1 y and 1 n when two letters picked without replacement from azynv.
1/10
Calculate prob of picking 3 i when three letters picked without replacement from rriicriiirirricirci.
28/323
Three letters picked without replacement from {z: 13, j: 5}. What is prob of picking 1 j and 2 z?
65/136
Calculate prob of picking 2 o when two letters picked without replacement from oeeooe.
1/5
What is prob of picking 2 y and 2 z when four letters picked without replacement from {z: 4, j: 4, y: 11}?
55/646
Four letters picked without replacement from {e: 7, c: 4, y: 2}. What is prob of picking 4 e?
7/143
Two letters picked without replacement from errvg. Give prob of picking 1 e and 1 g.
1/10
Two letters picked without replacement from {o: 4, a: 5, t: 1}. What is prob of picking 1 t and 1 a?
1/9
Two letters picked without replacement from {y: 4, r: 4, d: 9}. What is prob of picking 2 y?
3/68
What is prob of picking 1 x, 1 j, and 1 z when three letters picked without replacement from xcjrjkrzjjxkxrzz?
9/140
Three letters picked without replacement from btpsptsptwwt. What is prob of picking 1 w, 1 t, and 1 p?
6/55
What is prob of picking 1 j, 1 l, and 1 c when three letters picked without replacement from edlkkjcde?
1/84
What is prob of picking 3 q when three letters picked without replacement from {q: 2, f: 2}?
0
Calculate prob of picking 2 z and 1 h when three letters picked without replacement from zzzzzzzzzzzzh.
3/13
Two letters picked without replacement from {s: 1, l: 1, b: 2, z: 1, p: 1, h: 2}. What is prob of picking 1 l and 1 z?
1/28
Two letters picked without replacement from mrrrrrmmrrrmmrrr. Give prob of picking 2 r.
11/24
Calculate prob of picking 2 t and 1 k when three letters picked without replacement from tktt.
3/4
Two letters picked without replacement from eiivgiiiiviveegiv. What is prob of picking 1 g and 1 e?
3/68
Two letters picked without replacement from {a: 1, o: 1, v: 4, t: 2}. Give prob of picking 1 o and 1 t.
1/14
Calculate prob of picking 3 p and 1 w when four letters picked without replacement from nanpawwwappwpama.
4/455
What is prob of picking 4 n when four letters picked without replacement from vvvnnvvnnv?
1/210
What is prob of picking 3 a when three letters picked without replacement from xxaxxxxxaxxaxxxxxx?
1/816
Calculate prob of picking 2 t and 1 m when three letters picked without replacement from {t: 2, g: 3, m: 2, l: 6}.
1/143
Three letters picked without replacement from zbvv. What is prob of picking 2 v and 1 z?
1/4
Two letters picked without replacement from mmmmhhmmhm. Give prob of picking 1 h and 1 m.
7/15
Two letters picked without replacement from {g: 10, i: 2}. What is prob of picking 1 g and 1 i?
10/33
Two letters picked without replacement from cccfccccccfc. Give prob of picking 2 c.
15/22
What is prob of picking 1 d, 2 t, and 1 n when four letters picked without replacement from ddttdnnnnn?
1/14
Calculate prob of picking 2 m and 1 l when three letters picked without replacement from cmrmll.
1/10
Calculate prob of picking 1 y and 1 w when two letters picked without replacement from {s: 1, y: 2, z: 2, t: 1, w: 1, d: 2}.
1/18
Three letters picked without replacement from dpqscdn. Give prob of picking 1 n and 2 s.
0
Three letters picked without replacement from hkmhnnkm. What is prob of picking 1 n, 1 m, and 1 k?
1/7
Two letters picked without replacement from dddnndddddddddnd. Give prob of picking 1 n and 1 d.
13/40
Calculate prob of picking 3 r when three letters picked without replacement from {r: 4, l: 9, k: 1}.
1/91
Two letters picked without replacement from {y: 5, h: 5, v: 2, j: 1, b: 2, c: 5}. What is prob of picking 1 j and 1 v?
1/95
Calculate prob of picking 1 c and 1 a when two letters picked without replacement from {a: 1, n: 10, c: 8}.
8/171
Calculate prob of picking 3 b and 1 n when four letters picked without replacement from {c: 1, n: 1, b: 3}.
1/5
What is prob of picking 1 y and 3 r when four letters picked without replacement from rroyr?
1/5
Calculate prob of picking 2 f when two letters picked without replacement from {q: 5, r: 2, h: 4, f: 4}.
2/35
Three letters picked without replacement from gccgcggcgggccc. What is prob of picking 1 g and 2 c?
21/52
Three letters picked without replacement from llpttrt. Give prob of picking 2 l and 1 t.
3/35
What is prob of picking 1 r and 1 k when two letters picked without replacement from rkzzrzrzzrzzu?
2/39
Three letters picked without replacement from wtyyu. What is prob of picking 1 y, 1 w, and 1 u?
1/5
Calculate prob of picking 3 w and 1 r when four letters picked without replacement from {d: 6, o: 1, b: 4, r: 5, w: 4}.
4/969
Calculate prob of picking 1 f, 1 k, and 2 x when four letters picked without replacement from xfllxllxtkxfxxl.
2/91
Four letters picked without replacement from kkkgjgbgggggkbkg. What is prob of picking 1 g, 1 b, and 2 j?
0
Three letters picked without replacement from ouurruggurrguooo. What is prob of picking 2 r and 1 o?
3/70
What is prob of picking 1 z and 1 u when two letters picked without replacement from {u: 7, z: 1}?
1/4
Four letters picked without replacement from xyxttytyyytyxytyxttx. Give prob of picking 4 y.
14/969
What is prob of picking 2 m when two letters picked without replacement from mmmggmm?
10/21
Two letters picked without replacement from mmmmaxaxxmmxaxx. Give prob of picking 1 a and 1 m.
6/35
Three letters picked without replacement from wqwwvwzqxwgwwgvxwgwx. What is prob of picking 2 w and 1 v?
6/95
Calculate prob of picking 2 n and 2 v when four letters picked without replacement from nnnnnvvn.
3/14
What is prob of picking 1 f and 3 v when four letters picked without replacement from vvffvfvfvvvvvvvvvv?
364/765
What is prob of picking 1 d, 1 u, and 1 j when three letters picked without replacement from {q: 2, u: 11, j: 2, d: 5}?
11/114
Calculate prob of picking 1 d, 1 n, and 1 m when three letters picked without replacement from nhhhnnnnhnhmndihihhh.
7/1140
Two letters picked without replacement from aakakkkiak. What is prob of picking 2 a?
2/15
What is prob of picking 3 h and 1 q when four letters picked without replacement from eqqeuquueqqeeehe?
0
Four letters picked without replacement from qpqpqpppqqpqeqqpqpq. What is prob of picking 1 q and 3 p?
140/969
Calculate prob of picking 2 b when two letters picked without replacement from yybbyyyyyy.
1/45
Two letters picked without replacement from {y: 1, d: 3, p: 4, h: 4, w: 2}. What is prob of picking 1 p and 1 w?
8/91
Three letters picked without replacement from {o: 3, w: 9, j: 5, k: 2}. Give prob of picking 2 w and 1 k.
24/323
Two letters picked without replacement from {s: 10, t: 2, u: 2, n: 1, l: 1}. What is prob of picking 1 u and 1 n?
1/60
Calculate prob of picking 2 s and 1 f when three letters picked without replacement from ssff.
1/2
Calculate prob of picking 3 p when three letters picked without replacement from ptptptptpp.
1/6
Two letters picked without replacement from vvfvfv. What is prob of picking 1 f and 1 v?
8/15
Calculate prob of picking 1 a and 2 s when three letters picked without replacement from {a: 1, y: 1, s: 2, g: 1}.
1/10
What is prob of picking 1 w and 1 q when two letters picked without replacement from {w: 1, x: 1, q: 1, l: 2}?
1/10
Three letters picked without replacement from {o: 4, m: 1, c: 1, j: 4}. What is prob of picking 3 o?
1/30
Two letters picked without replacement from inkcki. Give prob of picking 2 k.
1/15
What is prob of picking 1 j and 1 l when two letters picked without replacement from {n: 5, j: 1, f: 1, l: 1, m: 1}?
1/36
Three letters picked without replacement from hhhhhhhhh. What is prob of picking 3 h?
1
Three letters picked without replacement from hhmhhmb. What is prob of picking 3 h?
4/35
Three letters picked without replacement from tvttvvtvvtttt. What is prob of picking 3 t?
28/143
What is prob of picking 2 t and 1 k when three letters picked without replace | {
"pile_set_name": "DM Mathematics"
} |
Let o(m) = 2*m. Let v(z) be the third derivative of 0*z + 0*z**3 - 10*z**2 + 1/60*z**5 + 0*z**4 + 0. Calculate o(v(n)).
2*n**2
Let r(p) = -707*p + 1. Let c(a) = 1414*a - 2. Let h(f) = -4*c(f) - 9*r(f). Let z(s) = s**2. What is z(h(w))?
499849*w**2 - 1414*w + 1
Let b(d) be the third derivative of 5*d**5/12 - 179*d**2. Let r(u) = -2*u**2 + 20 - 20. Calculate b(r(j)).
100*j**4
Let f(x) = -66054*x**2. Let g(h) = -15*h**2. Calculate f(g(j)).
-14862150*j**4
Let p(k) = -k. Let r(a) = -10*a**2 + 30*a - 4. Calculate r(p(w)).
-10*w**2 - 30*w - 4
Let v(m) = 423*m. Let q(p) = -38*p**2. Determine v(q(x)).
-16074*x**2
Let o(c) = -c**2. Let r(b) = 3*b**2 + 7*b. Let t(q) = -2*q**2 - 5*q. Suppose -g = -2*z - 13, z + 15 = -4*z. Let n(v) = g*t(v) + 5*r(v). Calculate o(n(p)).
-p**4
Let f(p) = 15*p**2 + 18. Let i(s) = -7*s**2 - 8. Let v(t) = 4*f(t) + 9*i(t). Let n(r) = 2*r + 28. Determine n(v(h)).
-6*h**2 + 28
Let q(o) = 24*o - 332. Let t be q(14). Let d(p) be the second derivative of -1/3*p**t + 0*p**3 - 4*p + 0*p**2 + 0. Let g(w) = -w. Give g(d(c)).
4*c**2
Let i(x) = -14*x + 8. Let w(u) = -2. Let z(s) = -i(s) - 4*w(s). Let f(k) = 8*k**2. Give z(f(j)).
112*j**2
Let d(m) be the second derivative of m**4/6 - 7*m + 96. Let q(x) be the second derivative of x**3 - x. What is d(q(v))?
72*v**2
Let z(n) = 2*n**2 + 318*n - 11. Let j(f) = 26*f. Determine z(j(m)).
1352*m**2 + 8268*m - 11
Let k(f) = 51*f**2 - 2*f. Let p(m) = -5*m + 1. Determine k(p(v)).
1275*v**2 - 500*v + 49
Let v(s) = -142*s. Let b(r) = 4*r - 11. Give b(v(t)).
-568*t - 11
Let d(g) = -g. Let b(v) = 63*v - 305*v + 645*v + 1185*v. Calculate d(b(n)).
-1588*n
Suppose -6*q - 24 = -66. Let k(m) = -q*m + 2*m + 4*m. Let v(a) = -59*a**2. Give v(k(o)).
-59*o**2
Let n be 3/2 + (-39)/26. Let u(g) = 6*g - 2*g - g + n*g. Let x(k) = -13*k. Determine x(u(w)).
-39*w
Let i(a) = -5 - 3*a + 5. Let p = -64 - -66. Let y(c) = -c**2 - 3*c**p - c**2 + 7*c**2. Calculate i(y(w)).
-6*w**2
Let v(h) be the third derivative of -h**4/8 - h**2. Suppose 4*s - 5*f = 59, -3*s + 24 = -f + 4*f. Let c(o) = -8*o - s*o + 28*o. Determine v(c(g)).
-27*g
Let q(t) = -15*t - 8. Let r(a) = -74*a - 40. Let h(x) = 10*q(x) - 2*r(x). Let p(n) = 2*n - 3*n + 4 + 5. Give h(p(g)).
2*g - 18
Let u(d) = -12*d**2 + 7*d + 4. Let i(c) = 7*c. Determine u(i(n)).
-588*n**2 + 49*n + 4
Let i(n) = -n**2. Let w(r) = -31*r**2 + 22*r. Let a(k) = -13*k**2 + 15*k - 13*k**2 + 4*k**2 + k**2. Let s(x) = -7*a(x) + 5*w(x). Calculate s(i(v)).
-8*v**4 - 5*v**2
Let p(j) = -11*j - 2. Let f(m) = 96*m + 106*m - 196*m. What is p(f(n))?
-66*n - 2
Let t(b) = -2*b. Let l(p) = -688141*p**2 - 2*p. Give t(l(n)).
1376282*n**2 + 4*n
Let u(i) = 3*i + 5*i - 2*i. Let c(r) = -347*r + 168*r + 178*r. Give u(c(a)).
-6*a
Let i(o) = -17*o. Let b(n) = -86009*n**2 + 2*n. Calculate i(b(u)).
1462153*u**2 - 34*u
Let t(o) = o. Let d(c) = 316*c + 399. What is d(t(p))?
316*p + 399
Let p(d) = 411*d. Let o(s) = -3*s. What is o(p(c))?
-1233*c
Let u(j) = -8*j. Let t(y) = -45271*y**2. What is t(u(m))?
-2897344*m**2
Let z(n) = -284*n. Let c(x) = -x**2 + 10949*x. Determine z(c(l)).
284*l**2 - 3109516*l
Let j(z) = -20*z**2 + 13*z - 13. Let g(d) = 3*d**2 - 2*d + 2. Let q(i) = -13*g(i) - 2*j(i). Let k(m) = -907*m. What is q(k(f))?
822649*f**2
Let n(c) = 3*c**2. Let j(t) be the first derivative of t**6/36 + 2*t**3/3 + 2. Let u(w) be the third derivative of j(w). Calculate u(n(p)).
90*p**4
Let j(y) = 6*y**2 - 11*y**2 + 6*y**2 - 9*y**2 + 7*y**2. Let v(r) be the second derivative of -10*r**4/3 - 5*r. What is v(j(k))?
-40*k**4
Let l(s) = -2 + 644*s + 4 - 2 - 628*s. Let w(k) = 3*k**2. Give w(l(g)).
768*g**2
Suppose z - 4*q = 5*z + 4, 2*z - 33 = 5*q. Let n(d) = -36*d + 12*d + 10*d - z*d. Let s(r) = -2*r**2. Give s(n(u)).
-648*u**2
Let y(g) be the second derivative of -5*g**4/12 - 409*g. Let l(p) be the second derivative of 5*p**4/6 - 3*p. What is y(l(r))?
-500*r**4
Let n(a) be the second derivative of -a**3/6 + 2*a - 120. Let d(y) = -2*y + 41. Calculate n(d(x)).
2*x - 41
Let q(l) = -4*l**2. Let o(g) = 71*g - 198*g + 116*g - 8*g**2. Calculate o(q(v)).
-128*v**4 + 44*v**2
Let a(h) = -3*h**2. Let d(b) be the first derivative of 25*b**2 - 215. Calculate d(a(g)).
-150*g**2
Let w(h) = -h**2. Suppose c = -5*l + 518, -2*c + 4*l + 522 = -444. Let t(j) = -c + 493 + 13*j**2. Give w(t(s)).
-169*s**4
Let x(f) = 9774*f**2. Let j(n) = -13*n - 3. Give j(x(k)).
-127062*k**2 - 3
Let c(g) = -9*g**2. Let b(i) be the first derivative of i**5/60 + 13*i**2/2 + 7. Let r(m) be the second derivative of b(m). Determine c(r(y)).
-9*y**4
Let c(m) be the third derivative of 0*m + 4*m**2 + 0 + 1/24*m**4 + 0*m**3. Let a(s) be the second derivative of -s**4/12 - s. Calculate c(a(l)).
-l**2
Let b(c) = 7*c**2. Let j(o) = -34*o. Give j(b(y)).
-238*y**2
Let i(a) = -169*a. Let f(x) = -17*x**2 - 5. Let u(v) = 14*v**2 + 4. Let d(g) = -4*f(g) - 5*u(g). Give d(i(t)).
-57122*t**2
Let m(o) = -18*o. Suppose 64*t + 22 = 150. Let k(a) be the third derivative of 0*a**3 + 0*a - 2*a**t + 1/12*a**4 + 0. Determine m(k(v)).
-36*v
Let g(n) = n**2. Let r(v) = -v - 18. Let l be r(-20). Let w(i) = -4*i - l*i**2 + 4*i + i. Calculate w(g(c)).
-2*c**4 + c**2
Let v(h) = -19*h + 5. Suppose 0*z + 9*z + 63 = 0. Let k(a) = -28*a + 7. Let b(d) = z*v(d) + 5*k(d). Let l(u) = u**2 - 2*u + 2*u. What is b(l(c))?
-7*c**2
Let r(t) = -2*t**2. Let b(c) be the third derivative of c**7/630 + 8*c**5/15 - 36*c**2. Let y(u) be the third derivative of b(u). Determine r(y(o)).
-128*o**2
Let s(t) = -3*t**2 - 2. Let z(c) = -4*c**2 - 3. Let p(f) = -3*s(f) + 2*z(f). Suppose -17*m + 18*m - 7 = 0. Let l(k) = -3*k - 5*k + m*k. Determine p(l(y)).
y**2
Let q(g) = -g**2 + 11*g + 1. Let z be q(7). Let x(h) = -1531 + 1531 - z*h**2. Let u(y) = -2*y. Determine x(u(o)).
-116*o**2
Let y(v) = -56*v**2 + 34*v + 17. Let q(h) = -7*h**2 + 4*h + 2. Let i(u) = -51*q(u) + 6*y(u). Let k(d) = 3*d. Calculate k(i(p)).
63*p**2
Let q(k) be the third derivative of 3*k**4/8 + k**2 - 75*k. Let t(r) = -90*r**2. Determine q(t(b)).
-810*b**2
Let l(z) = 2*z**2. Let p(k) = -738980*k. What is p(l(s))?
-1477960*s**2
Let c(r) = -5244*r - 115. Let k(n) = -92*n - 2. Let t(v) = -2*c(v) + 115*k(v). Let j(s) = -s**2. Determine t(j(o)).
92*o**2
Suppose 7*f - 718 - 1585 = 0. Let u(p) = f - 12*p - 329. Let t(j) = j**2. What is t(u(d))?
144*d**2
Let l be (-4)/(-6)*45/10. Let x be -1 + 0 - -1*1. Let a(v) = 2*v + x*v - l*v + 0*v. Let d(j) = 3*j. What is a(d(c))?
-3*c
Let g(f) = 132*f**2 - 63*f + 3. Let l(v) = 7*v. Let t(w) = -g(w) - 9*l(w). Let c(x) = -x. Determine c(t(i)).
132*i**2 + 3
Let f(i) = -12*i**2 + 652*i + 1. Let u(j) = 4*j. Give f(u(y)).
-192*y**2 + 2608*y + 1
Let k(x) = -5*x**2. Let r(f) be the first derivative of f**2/2 + 69. What is k(r(u))?
-5*u**2
Let s(z) = -10*z. Let y(j) = -2*j**2 - 3. Suppose -27*w + 23*w = 40. Let o(k) = -6*k**2 - 10. Let q(t) = w*y(t) + 3*o(t). What is s(q(b))?
-20*b**2
Let c(a) = -16 - 28*a**2 + 28 + 25*a**2 - 12. Let l(p) = 5*p. Let q(s) = 51*s. Let m(h) = -21*l(h) + 2*q(h). Calculate m(c(b)).
9*b**2
Let p(n) = 120*n + 122*n - 246*n. Let w = 6 + -4. Let r(t) = -t - w + 2. What is p(r(f))?
4*f
Suppose 4*z - 30 = -z. Suppose 2*q + 2 = z. Let i(p) = 1 + 10*p**q - 1 - 8*p**2. Let x(b) = -3*b. Determine x(i(v)).
-6*v**2
Let g(u) = -17*u. Let q(d) = -34*d**2 + 9*d - 21. Calculate q(g(o)).
-9826*o**2 - 153*o - 21
Let u(a) = -4*a. Let c(k) be the second derivative of 7*k**4/2 - 143*k. Give c(u(n)).
672*n**2
Let n(i) = -30000*i. Let k(b) = -5*b**2. Give k(n(f)).
-4500000000*f**2
Suppose -3*x = -11 + 2, 3*x + 6 = 3*i. Let j(k) = k - k + i*k - 7*k. Let f(d) be the third derivative of -d**5/30 + d**2. Give f(j(n)).
-8*n**2
Let s(o) = -435*o + 99*o - 456*o - 2 + 27*o + 47*o. Let d(m) = -m. Give d(s(k)).
718*k + 2
Let b(z) = -5*z + 6*z - 10*z + 0*z. Let h(p) be the second derivative of p**6/720 + p**4/2 - 4*p. Let i(r) be the third derivative of h(r). Calculate i(b(j)).
-9*j
Let s(m) be the first derivative of 4*m**3/3 + 11*m + 2. Let i(z) be the first derivative of s(z). Let u(r) = r**2. Give i(u(y)).
8*y**2
Let d(p) = 2325614*p. Let l(v) = 2*v. Give d(l(g)).
4651228*g
Let t(i) = -25*i + 9. Let c(y) = -6*y + 2. Let w(d) = 9*c(d) - 2*t(d). Let k(p) be the third derivative of -p**4/6 + 4*p**2. Give w(k(r)).
16*r
Let d(u) = -25*u + | {
"pile_set_name": "DM Mathematics"
} |
49/37)
Simplify (i**5)**(-41)*i**(1/14)*i**(-3) assuming i is positive.
i**(-2911/14)
Simplify (p**7/(p/((p**(1/10)*p)/p)))/(p/p**(-17)*p*p/(p*p**12/p)) assuming p is positive.
p**(-19/10)
Simplify (((c**0/c)/c)**(-39))**(-2/11) assuming c is positive.
c**(-156/11)
Simplify ((w**(2/7)*w)/w)**40/(w**(-1/3)*w**18) assuming w is positive.
w**(-131/21)
Simplify ((t/(t**(-3/8)/t))/t**(-2/3))/(t*t**(-1/2)/t)**(-1/7) assuming t is positive.
t**(499/168)
Simplify (w**(-8)/w)**(2/113)/(w/(w*w/w**3*w)*w*w**17) assuming w is positive.
w**(-2165/113)
Simplify (((v**(1/18)/v)/(v*v**(1/8)))**(-10))**47 assuming v is positive.
v**(35015/36)
Simplify q**(-1)*q/q**4*(q/(q/(q**(-1)*q*q*q*q)))**(-44) assuming q is positive.
q**(-136)
Simplify (x**(-3))**(3/2)*(x**1/x)**(-1/30) assuming x is positive.
x**(-9/2)
Simplify (m*m**(1/9)*m)**(-23)/(((m**(8/3)/m)/m)/m*m**(-10)*m) assuming m is positive.
m**(-353/9)
Simplify ((j*j/(j/(j*j*j**(2/9)*j*j)*j)*j)**(-24/7)*(j*j/(((j*j**(-9)/j)/j*j*j)/j)*j)/(j/j**(-5/6)))**(3/16) assuming j is positive.
j**(-325/224)
Simplify (((c/(c**(2/17)*c))/c**(1/2))/((c/(c/c**(-2/3)))/c**(-2/7)))**5 assuming c is positive.
c**(-845/714)
Simplify l**(-18/11)*l**25*(l**3)**(3/22) assuming l is positive.
l**(523/22)
Simplify w**(3/2)*w/(w*w/(w*w**(1/6)*w))*w*w/((w/(w**(-2/57)*w))/w*w)*w**17 assuming w is positive.
w**(411/19)
Simplify ((y**(1/28)/y**1)**(-50))**36 assuming y is positive.
y**(12150/7)
Simplify i**(1/33)*i*i*i*i/i**11*i**10/(i*i**(1/7)) assuming i is positive.
i**(436/231)
Simplify ((((v**2/v)/v*v)**(31/5))**(4/5))**(4/7) assuming v is positive.
v**(496/175)
Simplify m/m**16*m**9*m*(m*m**(-2/7)/m)/m**(5/2) assuming m is positive.
m**(-109/14)
Simplify ((o**(1/8)/(o*o*o*o**(1/4)*o))/(o**2/o)**(-12))**(-4) assuming o is positive.
o**(-63/2)
Simplify (f**21/(f/(f/((f/((f*f/(f**18/f)*f)/f))/f))))/(f**(-7)*f)**(-1/8) assuming f is positive.
f**(21/4)
Simplify m**(-1/8)*m**(-16)*((m*m/m**3)/m*m)/(m*m**(7/8)) assuming m is positive.
m**(-19)
Simplify l/(l*l**(1/5))*l/((l**(-2/23)*l)/l)*(l**(-9)/l)**(-38) assuming l is positive.
l**(43802/115)
Simplify (g/g**(2/5)*g)**35/(g/(g/(g*g**(2/17)*g))*g**(-9)) assuming g is positive.
g**(1069/17)
Simplify ((o**13/o)/(o/(o*o**(-1/41))))**(1/14) assuming o is positive.
o**(491/574)
Simplify ((f*f**(-20))/f*(f*f*f**(-2/41)*f*f)/f)/((((f/(f/((f*f**23)/f*f)))/f)/f)/(f**(-7/8)/f)) assuming f is positive.
f**(-13423/328)
Simplify ((j/j**(-4)*j*j**(3/5))**15)**(-1/13) assuming j is positive.
j**(-99/13)
Simplify (((i**(-6/5))**(-45))**(3/25))**(15/11) assuming i is positive.
i**(486/55)
Simplify ((r/r**2)**(-4/7)/(r**(1/5)*r**1))**(-39/5) assuming r is positive.
r**(858/175)
Simplify (r*r*r/((((r*(r*(r**7/r)/r)/r)/r)/r)/r)*r)**(5/9)/(r/(r/((r/r**(-4)*r)/r)*r))**(-3/5) assuming r is positive.
r**(133/45)
Simplify (j*j/(j/j**14))/(j*j/(j*j*j/j**9)*j*j)*j**(-12)*j*j**(1/3) assuming j is positive.
j**(-17/3)
Simplify (((((z*(z*(z*z/z**(-3/10)*z*z)/z)/z*z*z)/z)/z)/z)**(-33/5))**37 assuming z is positive.
z**(-40293/50)
Simplify (j**(2/29)*j)/(j**(2/11)*j*j)*(j**3/j*j)**24 assuming j is positive.
j**(22613/319)
Simplify (i**(-1))**(-7)/(i/(i/(i*i**(4/9)*i))*i/i**(-2/25)) assuming i is positive.
i**(782/225)
Simplify (x/(x*x*(x*((x*x**(-2/5)*x*x)/x)/x)/x))/((x/x**(-12/11))/x*x)*((x**(1/3)*x)/x)**32 assuming x is positive.
x**(1151/165)
Simplify t/(t**(1/3)/t)*t*t*t**2*t*(t*t**(-2/7))**29 assuming t is positive.
t**(575/21)
Simplify (h**7*h)**(-2/13)/(h**(-1/7))**(12/7) assuming h is positive.
h**(-628/637)
Simplify ((z*((z/(z**(-1)/z))/z)/z)/z)**38/(z**(-1/8)*z*z**(-8)) assuming z is positive.
z**(361/8)
Simplify (d*d**(2/7))**(3/2)/(d/(d**10*d*d)*d/d**(-1/4)) assuming d is positive.
d**(327/28)
Simplify ((f*f**(-11)/f*f**(1/5))**(-4/9))**(5/2) assuming f is positive.
f**12
Simplify t/(t/t**(4/3))*t*t*t*t**(5/9)*((t/t**(-2/17))/t)**(-1/3) assuming t is positive.
t**(742/153)
Simplify (n**(2/11)*n*n*n)**(10/13)*n**21/n*n/n**6 assuming n is positive.
n**(2495/143)
Simplify ((((w**(2/7)*w)/w)/w**(2/3))/((w*w**8)/(w/w**9*w*w)))**38 assuming w is positive.
w**(-12274/21)
Simplify (s/((s**(-2/3)/s)/s))/s*s/(s**(-2/13)*s)*s**10/(s/(s/(s*s**14))*s) assuming s is positive.
s**(-124/39)
Simplify ((y/(y/(y*y**25)))/(y*y*y*(y/((y/((y*y*y/y**24)/y)*y)/y)*y)/y*y*y))/(y**(9/2)*y**(-8/13)) assuming y is positive.
y**(1017/26)
Simplify (((t/((t*t**(8/7))/t))/(t*t**(6/5)*t))/(t**(-11)/t**(-1/17)))**(-36) assuming t is positive.
t**(-162756/595)
Simplify (((g**(1/7)*g)/g)/g*g/(g/g**(-1/3))*(g**(-2))**(1/10))**24 assuming g is positive.
g**(-1168/35)
Simplify (q**5)**(17/5)*q**(1/13)/(q*(q/(q/(q*q**12/q)*q))/q) assuming q is positive.
q**(79/13)
Simplify ((c**(2/27)*c)/(c/(c*c**(-6))))/(c**(-2/15)*c)**25 assuming c is positive.
c**(-718/27)
Simplify (l/(l**3*l)*l/l**12)/((l**(8/3)/l*l)/l*l*l)**(-41) assuming l is positive.
l**(409/3)
Simplify (w*w**(-5/12)*w)/w*w/((w/(w*w**(-31))*w)/w)*w*w**(3/8)*w*(w/((w**(-4/17)/w)/w))/w*w assuming w is positive.
w**(-9713/408)
Simplify (c**12/c**39)/(c/(c/(((c*c/(c/c**19)*c)/c)/c))*(c/(c**(2/59)*c))/c) assuming c is positive.
c**(-2653/59)
Simplify (i*i**(-1/9))/(i*i*i**(3/7))*i**(1/16)*i*i**5/i*i*i assuming i is positive.
i**(5567/1008)
Simplify (u/(u*u*u**(6/5)))**(-2/19)*(u/(u**12/u))**(-32/5) assuming u is positive.
u**(6102/95)
Simplify (p**(-2/17)/p)/(p/(p/(p*p**(2/11))))*p**(-17)/(p/(p**(-4)*p)) assuming p is positive.
p**(-4357/187)
Simplify ((n/(n/n**(10/3)))/n**(-19))/(n**(13/2)*n**(3/4)) assuming n is positive.
n**(181/12)
Simplify ((b*b**(-19))/b)/(b*b/((b**(3/4)*b)/b*b)*b)*b**19*b*b/b**1*b assuming b is positive.
b**(3/4)
Simplify (g**(-3/4)/(g/(g/(g/g**(10/7)))))/((g/(g/g**(-11)))/g**(-26)) assuming g is positive.
g**(-429/28)
Simplify ((o**(2/25))**(-4/9))**(-1/15) assuming o is positive.
o**(8/3375)
Simplify (j**(-25/2)/j)/j**19*((j/(j*j**25))/j)/(j/(j/j**(-2/13))) assuming j is positive.
j**(-1517/26)
Simplify (a*a**6*a)**(-32)/(a/(a/a**10)*a**(-2/59)/a) assuming a is positive.
a**(-15633/59)
Simplify (d**21*d**(-1/3)*d)/(d**(3/8)/d**(-22)) assuming d is positive.
d**(-17/24)
Simplify ((w/((w/(w/w**1))/w)*w)/w)**(-14/9)*w/w**(-5/4)*w*w/(w**14*w) assuming w is positive.
w**(-443/36)
Simplify ((y**(13/5)*y)/y**(2/11))/(y**6*y)**(-1/54) assuming y is positive.
y**(10537/2970)
Simplify (y*y**0)**47/((((y*y/y**(2/13))/y)/y*y)/(y*y*y**(-2/7)*y*y)) assuming y is positive.
y**(4538/91)
Simplify ((((c*c**14)/c)/c)/c**(-5/14))**(-11/3) assuming c is positive.
c**(-2057/42)
Simplify (c*c**(-1/20))/c*c**(-18)*c/(c*c**(-5/7))*(c/((c*c**(-6))/c))/c assuming c is positive.
c**(-1587/140)
Simplify ((x**(-3/4)/(x/((x/(x**(1/4)*x*x))/x)))**(-3/14))**(-41) assuming x is positive.
x**(-246/7)
Simplify ((i**(4/11)/i)/(i*i**(1/5)*i))/((i*i/((i/i**(7/4))/i))/(i/((i*i*i**(-8/3)/i)/i))) assuming i is positive.
i**(-1927/660)
Simplify b**10*b**(-22)*(b/(b**(2/21)/b))**(1/72) assuming b is positive.
b**(-2263/189)
Simplify (h**(7/8))**(2/39)*h*h**36*h**(-32) assuming h is positive.
h**(787/156)
Simplify ((y**(-4/5)/y)/(y**10*y))/(y**(-2/3)/y**14) assuming y is positive.
y**(28/15)
Simplify (o*o**(-4))**27/((o*(o**(-4)*o*o)/o)/(((o/o**(-17))/o)/o)) assuming o is positive.
o**(-63)
Simplify (q/(q*q**(-4)))**(-2/137)/(q**(-11)*(q/(q*q**(5/9)/q))/q) assuming q is positive.
q**(14176/1233)
Simplify y**(-5)*y**11*((y**(-5)*y)/y)/y*y/(y**5/y) assuming y is positive.
y**(-3)
Simplify ((u**(-6)/(u/u**0))/(u**6/(u*u/u**(-1/2)*u)))**(-9) assuming u is positive.
u**(171/2)
Simplify ((s/((s**(-10)/s*s)/s))/s*s)/s**22*s**(3/13)*s*s*(s/(s**(4/9)*s))/s assuming s is positive.
s**(-1078/117)
Simplify (w/w**(4/5)*w/(w/(w*w**(-2/7)/w)))/(w**(-2/9)/w**(-1/10)) assuming w is positive.
w**(23/630)
Simplify (a**(-4)/(a/((a/(a*a**(3/2)))/a*a))*a**(7/2)*a*a*a*(a**(-5)/a)/a)**(7/6) assuming a is positive.
a**(-49/6)
Simplify (k**(3/7)*k**(-3))/((k/k**(-6))/(k**(-2)*k)) assuming k is positive.
k**(-74/7)
Simplify ((x/x**(-7))/(x/(x*x**(-16)/x)))/(x*x**(3/8)*x*x/(x*x**5*x*x)) assuming x is positive.
x**(-35/8)
Simplify (o**(-3/13)/(o*o**(-15/8)/o*o*o))**(-15) assuming o is positive.
o**(555/104)
Simplify (c**(2/7))**(1/15)*(c/c**(-2)*c)/c**1 assuming c is positive.
c**(317/105)
Simplify (z/((z**17*z)/z))**(6/31)*z**(-4/7)* | {
"pile_set_name": "DM Mathematics"
} |
5*w**3 + 3*w - 21*w - 4*w**2. Give -9*s(q) - 4*t(q).
q**3
Let a = -59 - -56. Let l(z) = -4*z + 7. Let d(m) = 11*m - 20. Determine a*d(g) - 8*l(g).
-g + 4
Let y(d) = -d**3 - 2*d**2 + 2*d. Let g(u) = u**3 + u**2 - u. Let o = 8 + -4. Suppose 2 = 4*x - 2, -4*p - 2*x = -10. What is o*g(l) + p*y(l)?
2*l**3
Let y(l) = -6*l**3 + 5*l**2 + 11*l + 11. Let n(f) = f**3 - f**2 - 2*f - 2. What is 33*n(k) + 6*y(k)?
-3*k**3 - 3*k**2
Let o(t) = t**3 + 6*t**2 - 4*t - 2. Let r(l) = -7*l**2 - 9*l**3 - 1 - 2 + 5*l + 8*l**3 + 5. Determine -7*o(a) - 6*r(a).
-a**3 - 2*a + 2
Let g(n) = -17*n - 4. Let x(v) = -4*v - 11. Let m(w) = -w - 4. Let z(y) = -8*m(y) + 3*x(y). Give 2*g(l) - 9*z(l).
2*l + 1
Let m(y) = y. Let b(r) be the second derivative of -r**3/3 - 3*r. Give 2*b(v) + 6*m(v).
2*v
Let g(a) be the first derivative of 2*a**2 + 2*a + 4. Let x(h) = h. Suppose -3*r + 2 = -1. Let t = 4 - 6. Give r*g(u) + t*x(u).
2*u + 2
Let l(d) = -3 + 1 - d + 3. Let p be l(-5). Let w(m) = -8*m**2 - 6*m - 6. Let c(b) = -b**2 - b - 1. What is p*c(v) - w(v)?
2*v**2
Let x(z) be the second derivative of z**3/2 - 3*z**2/2 - 7*z. Let b(w) be the second derivative of -2*w**3/3 + 2*w**2 + 2*w. Give -2*b(y) - 3*x(y).
-y + 1
Let d(b) = 5*b**2 + 2*b. Let y(k) = -6*k**2 - 2*k. Determine -5*d(o) - 4*y(o).
-o**2 - 2*o
Let b(i) = -1. Let c(x) = 3*x - x + 3 - 4 - 5. Suppose 5*s - 2*y + 5 = -0*y, 0 = 4*y. Suppose 0 = -a + 2*h + 6, 3*h + 4 + 2 = a. Determine a*b(f) + s*c(f).
-2*f
Let j(d) = d**2 - 5*d + 4. Let g be j(3). Let c be (2 - -1) + g + 0. Let s(i) = -i. Let k(q) = 2 - 1 + 5*q - q - 3. Give c*k(u) + 6*s(u).
-2*u - 2
Let v(w) be the second derivative of -w**5/10 + 5*w**4/12 - w**3 + w. Let g(y) = -6*y**3 + 14*y**2 - 17*y. Calculate 6*g(x) - 17*v(x).
-2*x**3 - x**2
Let y(m) = -3*m. Let o(x) = 10*x. Determine -2*o(d) - 7*y(d).
d
Let r(t) = -185 - 2*t + 185. Let d(y) = -8*y + 1. Let j(c) = -c**2 + 2*c + 1. Let b be j(-1). Give b*d(a) + 9*r(a).
-2*a - 2
Let l(t) = -2*t**3 - 8*t**2 - 2*t + 9. Let z(m) = -m**2 + 1. Let v(x) = l(x) - 4*z(x). Let r(y) = y**3 + 2*y**2 + y - 3. What is 5*r(p) + 3*v(p)?
-p**3 - 2*p**2 - p
Let s(r) = 7*r**2 - 2*r + 15. Let t(h) = 4*h**2 - h + 8. Determine -3*s(k) + 5*t(k).
-k**2 + k - 5
Let t(y) = -2*y**3 + 7*y**2 + 11*y + 3. Let v = -2 - -8. Let p = v - 9. Let i(k) = -k**3 + 3*k**2 + 5*k + 1. What is p*t(s) + 7*i(s)?
-s**3 + 2*s - 2
Let m(t) = -t - 4. Let j(p) = -4*p - 17. Give -2*j(h) + 9*m(h).
-h - 2
Let n be (-5)/3 + 5/(-15). Let b(f) = 2*f + 2*f - 3*f + 2. Let w(p) = 5*p + 8. What is n*w(s) + 9*b(s)?
-s + 2
Let s(l) = l + 3. Let z(u) = -1. Let r(t) = -3. Let i(j) = 2*r(j) - 5*z(j). Calculate 6*i(b) + s(b).
b - 3
Let q(x) = x - x + x**2 + 47*x**2. Let p(d) = -3*d**2. Determine 33*p(g) + 2*q(g).
-3*g**2
Let q(n) = -n - 1. Suppose 2*p - 3*p - 4 = -5*h, -3*p = h + 12. Let k(m) = h*m - m - m - 2. Determine 2*k(x) - 2*q(x).
-2*x - 2
Let p(q) = -q - 5. Let f(t) = -1. Suppose 0 = 6*w - 12*w + 24. Determine w*f(b) - p(b).
b + 1
Let z(q) = -3. Let f(l) = l - 4. What is -2*f(s) + 3*z(s)?
-2*s - 1
Let v(n) = 5*n - 4 + 6 + 0. Let l(c) be the first derivative of -c**2 + 3*c - 2. Let d be l(3). Let t(q) = 14*q + 5. Give d*t(g) + 8*v(g).
-2*g + 1
Let g(f) = 15*f - 11. Let r(t) = -t + 1. Determine -2*g(v) - 22*r(v).
-8*v
Let w(f) = -f**3 - f. Suppose -i - p + 4 = 0, 5*i - 2*i - p = 20. Let x be -1*(i - (-3)/(-1)). Let g(h) = -4*h**3 - 3*h. Give x*w(b) + g(b).
-b**3
Let f(u) = -u**3 + u**2 - 3. Let b(l) = 1. What is -3*b(t) - f(t)?
t**3 - t**2
Let d(q) = -3*q + 1. Let g(v) = -7*v + 3. Let f be (-6)/15 - (-88)/20. Let n be (-19)/f - (-1)/(-4). Calculate n*d(p) + 2*g(p).
p + 1
Suppose 3 = 3*j - 3. Let w(g) = 2*g + 2. Let t(z) = 10*z + 10. Give j*t(a) - 11*w(a).
-2*a - 2
Let h(w) = -w + 10. Let g be h(9). Let c = g + -5. Let r(p) = -p**2 - p + 1. Let a(i) = 6*i**2 + 3*i - 6. Calculate c*r(l) - a(l).
-2*l**2 + l + 2
Let v(a) be the first derivative of -a**3/3 + a**2 - 3*a - 7. Let z(j) = -j**2 + 3*j - 4. Suppose -g - 3 = -2*g. What is g*z(o) - 4*v(o)?
o**2 + o
Let h(q) = -4*q**2. Suppose 5*j + 3*l + 45 = -50, 3*j - 2*l = -76. Let i(r) = -15*r**2. Suppose 5*z - 36 = -6. Calculate j*h(t) + z*i(t).
-2*t**2
Let t(r) = -12*r**3 - 3*r - 5. Let a(v) = 6*v**3 + v + 2. What is 5*a(h) + 2*t(h)?
6*h**3 - h
Let u(f) = 2*f**3 + f**2 + 4*f. Suppose -3*k - 1 - 4 = n, 3*n = -4*k - 5. Let q(z) = -z. Determine n*u(o) + 6*q(o).
2*o**3 + o**2 - 2*o
Let l(d) = 2*d**2 + 2*d - 2. Let h be (9 - 8)/(2/4). Let i(r) = r - 1. What is h*i(a) - l(a)?
-2*a**2
Let x(t) = -6*t**3 - t**2 - 4*t - 4. Let i(p) = -5*p**3 - p**2 - 3*p - 4. Determine -4*i(h) + 3*x(h).
2*h**3 + h**2 + 4
Let t(c) = 4*c - 39. Let q be t(9). Let m(k) = k**2 - 3*k + 1. Let s(i) = 4*i - 2. Calculate q*s(x) - 4*m(x).
-4*x**2 + 2
Let q(v) = -v**2 - 2*v + 5. Let z(i) be the first derivative of -4*i**3/3 - 3*i**2 + 16*i - 2. Let l = -12 - -5. Let u = 4 + l. What is u*z(x) + 10*q(x)?
2*x**2 - 2*x + 2
Let d(r) = 1505*r**2 - 140. Let y(v) = -32*v**2 + 3. Calculate 3*d(a) + 140*y(a).
35*a**2
Let d(a) = -8*a**3 - 7*a**2 - 1. Let w(h) = 5*h**2 + 2*h - 2. Let v be w(-2). Let u(r) = r**3 + r**2. Calculate v*u(s) + 2*d(s).
-2*s**3 - 2
Suppose -3*i + 5*p - 35 = 0, i - 4 = -3*p + 3. Let u(s) = 11*s - 2. Let a(d) = 5*d - 1. Give i*a(k) + 2*u(k).
-3*k + 1
Let p(i) = -6*i**3 - 4*i**2 - 4*i + 3. Let t(f) = f**2 + f. Calculate p(j) + 4*t(j).
-6*j**3 + 3
Let m(q) = 4*q - 4. Let h = 1 - -2. Let c(v) = v - 1. Calculate h*c(z) - m(z).
-z + 1
Suppose -12 - 6 = -3*t. Let h(d) = -d**3 - 4*d**2 - 3*d. Let p(u) = u**3 + 3*u**2 + 2*u. Determine t*p(r) + 4*h(r).
2*r**3 + 2*r**2
Let r(h) = -15*h - 11. Suppose -49 = -4*l + y, 0 = -3*l + 2*y - 13 + 56. Let b(f) = -8*f - 6. Calculate l*b(c) - 6*r(c).
2*c
Let u(f) = -6*f**3 + 5*f**2 - 5*f - 5. Let k(t) = 9*t**3 - 7*t**2 + 7*t + 7. Determine -5*k(d) - 7*u(d).
-3*d**3
Let x(z) be the third derivative of z**4/6 - 2*z**3/3 + 39*z**2. Let i(q) = 5*q - 5. Give -5*i(c) + 6*x(c).
-c + 1
Let a(g) = -g**2 - g + 2. Let q(u) = u**2 + u - 2. Give -4*a(k) - 3*q(k).
k**2 + k - 2
Let b(f) be the third derivative of f**6/60 - f**5/30 + 7*f**3/6 - 12*f**2. Let a(v) = -v**3 + v**2 - 4. Give -11*a(j) - 6*b(j).
-j**3 + j**2 + 2
Let b(w) = w**2 + 3*w + 2. Let p(t) = -t - 1. Give -b(o) - 3*p(o).
-o**2 + 1
Let x(t) = -t**3 + t**2 - 4*t + 3. Let n(z) = 2*z**3 - z**2 + 3*z - 2. Determine 4*n(l) + 3*x(l).
5*l**3 - l**2 + 1
Let b(d) = -d**3 + d**2 - d. Let v(x) = 4*x**3 + 2*x**2 + x + 17. Let w(h) = -h**3 - h**2 - 6. Let k(c) = 6*v(c) + 17*w(c). Determine -5*b(s) - k(s).
-2*s**3 - s
Let v(t) = 2*t - 3. Suppose 5*u - 3*l + 10 = 0, -u = -5*l + 7 + 17. Let i be v(u). Let j(c) = 7*c + 1. Let y(z) = z. What is i*j(d) + 6*y(d)?
-d - 1
Let z(y) = -4*y**2 - y + 7. Let p(c) = -2*c**2 + 3. Determine 5*p(f) - 2*z(f).
-2*f**2 + 2*f + 1
Let b = -1 + 2. Let l = -9 - -12. Let r(a) = 6*a**2 - a - l*a**2 + 0*a - 4*a**2. Let w(m) = -5*m**2 - 2*m - 1. Determine b*w(j) - 4*r(j).
-j**2 + 2*j - 1
Let k(y) = y**2 - y + 5. Suppose -5*f - 2*c + 28 = 0, 0 = -0*f + 4*f - 3*c - 4. Let d(u) = u**2 - u + 4. Let a = -53 + 48. Calculate a*d(z) + f*k(z).
-z**2 + z
Let j(i) = 2*i**3 + 4*i**2 - i - 1. Let a(r) = -r**2. Determine -4*a(g) - j(g).
-2*g**3 + g + 1
Let f(u) = 5*u**2 - 5*u - 2. Let o(n) = -4*n**2 + 6*n + 3. What is -4*f(d) - 3*o(d)?
-8*d**2 + 2*d - 1
Let w(r) = -2*r**3 + 6*r**2 - 3. Let c(b) = 3*b**2 - 1 - 1 - b**2 + 3*b**2 - b**3. Let l be ((-7)/((-7)/(-4)))/(-1). Give l*c(q) - 3*w(q).
2*q**3 + 2*q**2 + 1
Let b(p) be the second derivative of -1/20*p**5 + 0 - 1/6*p**3 - 1/2*p**2 + 1/12*p**4 + p. Let j(x) = 4*x**3 - 3*x**2 + 2*x + 4. Calculate 6*b(o) + 2*j(o).
2*o**3 - 2*o + 2
Let f(g) = -15*g - 1. Let h(d) = 23*d + 2. Give 8*f(a) + 5*h(a).
-5*a + 2
Let q(w) = 5*w**2 - 2*w. Let u(d) = 4*d**2 - 3*d. Calculate -2*q(v) + 3*u(v).
2*v**2 - 5*v
Let c(k) = -3*k**3 + 7*k**2 - 6*k + 6. Let d(t) be the third derivative of -t**6/15 + t**5/3 - 17*t**4/24 + 17*t**3/6 + 8*t**2. Calculate 17*c(l) - 6*d(l).
-3*l**3 - l**2
Let r(u) = -u**2 + u - 1. Let q = 10 + -6. Let a = -5 + q. Let h(x) = -5*x**2 + 3*x - 1. Determine a*h(f) + 3*r(f).
2*f**2 - 2
Let y(m) = 4 - 3 + m - 2. Suppose 0 = -4*l + 20. Suppose 0*v = l*v + 5. Let o(g) = -3. What is v*o(z) + 2*y(z)?
2*z + 1
Let f(n) = 4*n**2 - 3*n + 5. Let w(z) | {
"pile_set_name": "DM Mathematics"
} |
7?
3, 17, 37
What are the prime factors of 9066200?
2, 5, 11, 13, 317
What are the prime factors of 2618336?
2, 7, 11689
What are the prime factors of 814890?
2, 3, 5, 23, 1181
What are the prime factors of 6759483?
3, 2253161
List the prime factors of 10254213.
3, 17, 67021
List the prime factors of 2913684.
2, 3, 242807
What are the prime factors of 4125294?
2, 3, 31, 7393
List the prime factors of 579021.
3, 257, 751
What are the prime factors of 496200?
2, 3, 5, 827
List the prime factors of 1738645.
5, 347729
What are the prime factors of 767932?
2, 11, 31, 563
List the prime factors of 15825989.
113, 140053
List the prime factors of 64179.
3, 2377
List the prime factors of 446273.
446273
List the prime factors of 294563.
294563
What are the prime factors of 334813?
37, 9049
List the prime factors of 429249.
3, 23, 6221
List the prime factors of 4983732.
2, 3, 13, 23, 463
List the prime factors of 75453.
3, 7, 3593
List the prime factors of 4362057.
3, 7, 69239
What are the prime factors of 3435661?
3435661
List the prime factors of 617793.
3, 11, 97, 193
What are the prime factors of 14727515?
5, 11, 2213
What are the prime factors of 34205812?
2, 43, 71, 2801
What are the prime factors of 6003254?
2, 61, 49207
List the prime factors of 645243.
3, 37, 5813
What are the prime factors of 8324274?
2, 3, 7, 198197
List the prime factors of 1277328.
2, 3, 13, 23, 89
What are the prime factors of 9178573?
31, 296083
List the prime factors of 2156230.
2, 5, 257, 839
List the prime factors of 248955.
3, 5, 7, 2371
List the prime factors of 4592373.
3, 1530791
What are the prime factors of 1802279?
1802279
List the prime factors of 2068442.
2, 1034221
List the prime factors of 254019.
3, 84673
What are the prime factors of 5264048?
2, 31, 10613
What are the prime factors of 1158224?
2, 191, 379
What are the prime factors of 22149108?
2, 3, 615253
List the prime factors of 1210106.
2, 43, 14071
What are the prime factors of 86234?
2, 43117
List the prime factors of 53548.
2, 11, 1217
List the prime factors of 1712850.
2, 3, 5, 19, 601
List the prime factors of 303145.
5, 19, 3191
List the prime factors of 3072253.
41, 74933
What are the prime factors of 1089057?
3, 363019
What are the prime factors of 5903927?
19, 310733
What are the prime factors of 69357?
3, 61, 379
List the prime factors of 7976092.
2, 59, 33797
What are the prime factors of 775266?
2, 3, 157, 823
List the prime factors of 745078.
2, 372539
List the prime factors of 230484.
2, 3, 19207
What are the prime factors of 135152?
2, 8447
List the prime factors of 13535078.
2, 991, 6829
What are the prime factors of 31458466?
2, 13, 17, 103, 691
List the prime factors of 3594738.
2, 3, 7, 12227
What are the prime factors of 294675?
3, 5, 3929
List the prime factors of 246117.
3, 82039
What are the prime factors of 3281853?
3, 1093951
What are the prime factors of 88645?
5, 17729
List the prime factors of 2650223.
29, 91387
List the prime factors of 1576170.
2, 3, 5, 83, 211
List the prime factors of 578070.
2, 3, 5, 2141
What are the prime factors of 101075?
5, 13, 311
List the prime factors of 309044.
2, 77261
What are the prime factors of 296577?
3, 31, 1063
What are the prime factors of 10710611?
53, 202087
List the prime factors of 1002130.
2, 5, 100213
What are the prime factors of 2618213?
13, 201401
What are the prime factors of 1922672?
2, 120167
What are the prime factors of 20916216?
2, 3, 449, 647
List the prime factors of 97058.
2, 13, 3733
List the prime factors of 31615720.
2, 5, 809, 977
What are the prime factors of 86150?
2, 5, 1723
What are the prime factors of 1050916?
2, 23, 11423
What are the prime factors of 17796451?
73, 243787
What are the prime factors of 1029865?
5, 281, 733
What are the prime factors of 2604035?
5, 7, 47, 1583
What are the prime factors of 785181?
3, 79, 3313
List the prime factors of 102511.
23, 4457
What are the prime factors of 102291?
3, 7, 4871
What are the prime factors of 167918?
2, 113, 743
List the prime factors of 1117028.
2, 11, 53, 479
What are the prime factors of 1116426?
2, 3, 186071
What are the prime factors of 26523?
3, 7, 421
What are the prime factors of 1738553?
59, 79, 373
List the prime factors of 13130235.
3, 5, 19, 5119
What are the prime factors of 73337?
11, 59, 113
List the prime factors of 13271157.
3, 509, 2897
List the prime factors of 30389342.
2, 769, 19759
List the prime factors of 19046514.
2, 3, 3174419
List the prime factors of 765939.
3, 255313
List the prime factors of 2918479.
2918479
What are the prime factors of 14044468?
2, 29, 41, 2953
List the prime factors of 24132997.
7, 73, 83, 569
What are the prime factors of 166508?
2, 41627
What are the prime factors of 12882937?
139, 92683
What are the prime factors of 30348559?
2621, 11579
What are the prime factors of 25739?
7, 3677
List the prime factors of 348399.
3, 38711
What are the prime factors of 5980989?
3, 7, 23, 29, 61
List the prime factors of 26621998.
2, 13, 103, 9941
What are the prime factors of 324792?
2, 3, 13, 347
What are the prime factors of 808062?
2, 3, 134677
What are the prime factors of 2447773?
2447773
List the prime factors of 445967.
445967
List the prime factors of 22393294.
2, 7, 11, 20773
List the prime factors of 613327.
11, 13, 4289
List the prime factors of 471596.
2, 117899
What are the prime factors of 3095820?
2, 3, 5, 7, 13
What are the prime factors of 505315?
5, 101063
List the prime factors of 2872638.
2, 3, 53197
List the prime factors of 2676495.
3, 5, 109, 1637
What are the prime factors of 115842?
2, 3, 43, 449
List the prime factors of 8955962.
2, 31, 144451
List the prime factors of 179728.
2, 47, 239
List the prime factors of 5453173.
11, 73, 6791
List the prime factors of 225512.
2, 7, 4027
List the prime factors of 1013837.
11, 37, 47, 53
What are the prime factors of 10300191?
3, 11, 29, 47, 229
What are the prime factors of 6255687?
3, 2085229
What are the prime factors of 279097?
7, 13, 3067
List the prime factors of 271689.
3, 11, 8233
What are the prime factors of 12057098?
2, 29, 47, 4423
List the prime factors of 8225269.
13, 632713
What are the prime factors of 193218?
2, 3, 32203
What are the prime factors of 2581066?
2, 1290533
List the prime factors of 204596.
2, 7, 7307
What are the prime factors of 145600?
2, 5, 7, 13
What are the prime factors of 1171873?
23, 50951
List the prime factors of 1653978.
2, 3, 181, 1523
List the prime factors of 1277110.
2, 5, 127711
What are the prime factors of 6967493?
13, 193, 2777
List the prime factors of 961310.
2, 5, 7, 31, 443
List the prime factors of 1454286.
2, 3, 163, 1487
What are the prime factors of 179454?
2, 3, 11, 2719
List the prime factors of 208087.
11, 18917
What are the prime factors of 10460119?
10460119
List the prime factors of 6413220.
2, 3, 5, 11, 41, 79
List the prime factors of 5280962.
2, 1613, 1637
What are the prime factors of 9789473?
9789473
What are the prime factors of 278451?
3, 10313
List the prime factors of 3258171.
3, 7, 17239
What are the prime factors of 5031893?
433, 11621
What are the prime factors of 24183239?
47, 71, 7247
What are the prime factors of 378669?
3, 126223
List the prime factors of 1634274.
2, 3, 90793
What are the prime factors of 2730045?
3, 5, 37, 4919
What are the prime factors of 3984662?
2, 11, 71, 2551
What are the prime factors of 230480?
2, 5, 43, 67
What are the prime factors of 774878?
2, 13, 29803
What are the prime factors of 431752?
2, 29, 1861
List the prime factors of 1632826.
2, 13, 62801
What are the prime factors of 939127?
7, 134161
What are the prime factors of 2929567?
383, 7649
List the prime factors of 6650208.
2, 3, 43, 179
What are the prime factors of 2030343?
3, 7, 109, 887
What are the prime factors of 7622227?
89, 85643
What are the prime factors of 236364?
2, 3, 19697
List the prime factors of 4524940.
2, 5, 7, 32321
What are the prime factors of 109618?
2, 23, 2383
What are the prime factors of 3228546?
2, 3, 37, 14543
List the prime factors of 631882.
2, 193, 1637
List the prime factors of 47725.
5, 23, 83
What are the prime factors of 13214154?
2, 3, 2202359
What are the prime factors of 84207?
3, 28069
List the prime factors of 625290.
2, 3, 5, 19, 1097
What are | {
"pile_set_name": "DM Mathematics"
} |
x(d) = -d**2 + 30*d - 187. Give x(30).
-187
Let i(q) = q**3 + 22*q**2 - 67*q - 14. What is i(-24)?
442
Let k(n) = -24*n + 11. Calculate k(-1).
35
Let k(h) = 5*h**3 - 24*h**2 + 23*h - 21. Give k(4).
7
Let g(d) = d**2 + 1749*d + 17404. What is g(-10)?
14
Let j(i) = -12060*i + 373859. What is j(31)?
-1
Let h(q) = q**3 - 32*q**2 + 236*q - 18. What is h(14)?
-242
Let g(l) = l**3 - 7*l**2 - 14*l - 35. Give g(8).
-83
Let n(j) = -j**2 + 45*j - 245. Calculate n(6).
-11
Let r(g) = -g**3 - 111*g**2 - 3044*g + 953. What is r(-60)?
-7
Let t(i) = -6*i**2 + 389*i + 1577. What is t(-4)?
-75
Let d(g) = -88*g - 1242. Calculate d(-14).
-10
Let z(y) = 6*y - 15. Calculate z(5).
15
Let k(r) = -2484*r + 2525. What is k(1)?
41
Let x(o) = -40*o**2 + 962*o - 60. Give x(24).
-12
Let u(t) = 89*t + 3673. Give u(-41).
24
Let a(l) = -l**3 - 4*l**2 - 8*l - 40. Give a(-5).
25
Let i(b) = 20*b**2 - 1240*b + 7. Determine i(62).
7
Let b(z) = -3*z**3 + 4*z**2 + 26*z - 72. What is b(6)?
-420
Let z(r) = r**2 + 18*r - 107. Determine z(10).
173
Let a(h) = h**2 - 17*h + 407. Give a(18).
425
Let d(p) = 62*p**3 - 3*p**2 + 2*p + 5. Determine d(-1).
-62
Let r(g) = -g**2 + 62*g - 231. Determine r(56).
105
Let k(a) = -92*a**2 + 6442*a - 163. Give k(70).
-23
Let b(k) = -k**2 + 16*k - 337. Give b(0).
-337
Let z(v) = 2*v**3 - 97*v**2 - 60*v + 476. What is z(49)?
-63
Let x(u) = u**2 + 12*u - 177. What is x(13)?
148
Let a(w) = -w**3 + 14*w**2 + 86*w - 596. Calculate a(17).
-1
Let b(g) = -112*g**3 - 2*g**2 - g + 1. Calculate b(-1).
112
Let w(p) = 37*p**2 - 69*p - 266. Determine w(-4).
602
Let p(i) = 9*i**2 + 71*i - 4. Calculate p(-8).
4
Let h(c) = c**3 - 44*c**2 + 36. Determine h(44).
36
Let l(s) = -193*s - 974. What is l(-5)?
-9
Let d(h) = -h**3 + 52*h**2 + 108*h - 147. Determine d(54).
-147
Let n(u) = 34*u + 744. Determine n(-22).
-4
Let m(r) = 22*r**3 + r**2 - 2. Calculate m(2).
178
Let f(l) = -6*l + 171. What is f(-22)?
303
Let f(t) = 122*t + 124. Calculate f(-4).
-364
Let m(p) = 2*p**3 + 146*p**2 + 413*p - 495. Calculate m(-70).
-5
Let z(n) = -18*n**2 - 203*n - 35. Determine z(-11).
20
Let h(s) = s**2 + 8*s - 19. Calculate h(-13).
46
Let x(y) = y**3 + y**2 + 2*y - 4. Give x(-3).
-28
Let c(m) = 83*m - 4066. Calculate c(49).
1
Let p(a) = -4*a**3 + 3*a**2 + 69*a + 226. What is p(-3)?
154
Let c(z) = 606*z + 22409. Calculate c(-37).
-13
Let m(s) = -208*s - 10884. Determine m(-52).
-68
Let x(o) = 78*o + 555. What is x(-7)?
9
Let b(x) = -2*x**2 + 40*x + 1698. Calculate b(-27).
-840
Let f(p) = p**2 + 30*p + 55. What is f(-25)?
-70
Let k(o) = -o**3 + 31*o**2 - 65*o + 402. Give k(29).
199
Let c(z) = 2*z**3 + 16*z**2 + z - 23. What is c(-8)?
-31
Let l(k) = -135*k + 68. Determine l(-1).
203
Let x(d) = 2*d**3 - 208*d**2 + 22*d - 2291. Give x(104).
-3
Let g(u) = -18*u + 22. Calculate g(-20).
382
Let s(j) = 8*j**2 + 150*j + 445. Determine s(-15).
-5
Let o(i) = -51*i**2 - 397*i. Determine o(-7).
280
Let j(k) = k**3 - 12*k**2 - 30*k + 11. Calculate j(14).
-17
Let d(k) = -k**3 - 6*k**2 - 35*k - 329. Calculate d(-8).
79
Let q(c) = -64*c - 630. Determine q(-9).
-54
Let m(u) = -8*u - 86. Calculate m(-24).
106
Let w(t) = 28*t + 214. Determine w(-9).
-38
Let y(h) = -142*h**2 - 709*h - 48. What is y(-5)?
-53
Let i(u) = -175*u - 363. Calculate i(-2).
-13
Let o(r) = r**2 + 119*r + 3381. Give o(-47).
-3
Let t(l) = -l**2 + 83*l - 902. Determine t(56).
610
Let t(z) = -117*z + 1185. What is t(10)?
15
Let t(b) = b + 23. Give t(40).
63
Let o(d) = 185*d - 171. Give o(1).
14
Let a(w) = 2*w**2 - 58*w - 56. Give a(30).
4
Let o(a) = -112*a**2 - 3*a - 8. Give o(0).
-8
Let w(j) = 16*j + 371. Determine w(-25).
-29
Let x(b) = 9*b**2 + 891*b + 1. Calculate x(-99).
1
Let q(u) = -2374*u - 4758. Calculate q(-2).
-10
Let n(d) = d**2 - 275*d + 15127. Calculate n(76).
3
Let v(l) = -4*l + 136. Determine v(47).
-52
Let q(s) = s**3 - 14*s**2 - 2*s + 17. Give q(14).
-11
Let g(s) = -s**2 - 13*s + 79. Give g(0).
79
Let d(m) = -3*m**2 + 72*m - 158. What is d(4)?
82
Let c(g) = g**3 + 12*g**2 - 107*g - 4. Give c(6).
2
Let v(x) = -x**3 - 17*x**2 - 35*x + 87. Calculate v(-14).
-11
Let m(f) = f**3 - 5*f**2 - 143*f + 973. Determine m(9).
10
Let b(p) = -182*p - 9470. Give b(-52).
-6
Let k(j) = -j**3 + 6*j**2 + 6*j - 13. Determine k(2).
15
Let h(i) = -84*i + 698. What is h(10)?
-142
Let v(b) = -b**2 - 7*b + 2697. Give v(50).
-153
Let k(n) = -2*n**2 + 5*n + 1125. Give k(25).
0
Let k(a) = -4*a**3 + 26*a**2 - 18*a + 35. Determine k(6).
-1
Let m(w) = 301*w - 897. Determine m(3).
6
Let z(c) = -70*c - 588. Calculate z(-15).
462
Let v(h) = 2*h + 89. Calculate v(-36).
17
Let s(i) = -94*i - 5. Calculate s(0).
-5
Let a(b) = -50*b**2 + 4*b - 4. Calculate a(1).
-50
Let i(d) = -d**3 + 3*d**2 - 41*d + 117. What is i(3)?
-6
Let l(h) = 956*h - 7399. Determine l(8).
249
Let x(a) = -a**3 - 18*a**2 + 79*a + 31. Determine x(-22).
229
Let p(u) = -506*u + 23270. Calculate p(46).
-6
Let n(v) = -9*v**3 - 10*v**2 - 6*v + 2. Calculate n(-2).
46
Let y(q) = -2*q**3 + q**2 - 10*q - 59. Calculate y(-5).
266
Let t(y) = 610*y + 1002. Calculate t(-2).
-218
Let k(x) = -2*x**3 - 2*x**2 - 8*x + 3. Calculate k(-3).
63
Let h(s) = -3*s**3 - s**2 - 5*s - 52. What is h(0)?
-52
Let t(w) = -w**3 + w**2 + 34*w + 13. What is t(-5)?
-7
Let n(x) = 12*x**2 - 5*x + 30. Calculate n(5).
305
Let v(q) = q**3 - 212*q**2 - 424*q - 836. Calculate v(214).
20
Let y(w) = -25*w - 11. Calculate y(1).
-36
Let n(g) = g**2 - 19*g + 189. Give n(8).
101
Let d(u) = -u**2 - u - 4. Calculate d(-1).
-4
Let d(o) = o**3 - o**2 - 22*o + 62. What is d(-5)?
22
Let h(p) = -1082*p + 15135. Give h(14).
-13
Let u(i) = -11*i**2 + 361*i + 18. What is u(33)?
-48
Let z(m) = -71*m**2 - 45*m. Give z(2).
-374
Let f(i) = i**3 + 108*i**2 - 222*i - 215. Calculate f(-110).
5
Let b(i) = i**2 + 51*i + 536. Determine b(-15).
-4
Let v(p) = -45*p + 399. Give v(9).
-6
Let s(u) = 3*u**2 - 48*u + 69. What is s(9)?
-120
Let z(n) = 2*n**2 + 16*n - 22. What is z(5)?
108
Let o(q) = 5*q + 139. Calculate o(-25).
14
Let a(o) = o**3 + 8*o**2 - 4*o - 20. What is a(-8)?
12
Let s(x) = 4113*x + 123392. Give s(-30).
2
Let o(b) = b**2 + 1198*b + 1198. Give o(-1).
1
Let u(g) = 41*g + 944. What is u(-23)?
1
Let s(d) = 12365*d + 3. Calculate s(0).
3
Let d(o) = o**3 - 16*o**2 - 54*o + 13. Determine d(19).
70
Let k(l) = -34*l**2 + 4*l - 2. What is k(1)?
-32
Let x(d) = -d**3 - 5*d**2 - 57*d - 636. Calculate x(-8).
12
Let c(r) = 4*r**2 + 88*r - 76. Calculate c(-23).
16
Let c(h) = h**3 + 18*h**2 - 326*h + 16. What is c(11)?
-61
Let z(h) = 16*h - 447. What is z(28)?
1
Let m(r) = 280*r + 299. Calculate m(-1).
19
Let n(u) = -214*u**2 + 429*u - 8. What is n(2)?
-6
Let i(q) = -4*q**2 - 3*q + 165. Determine i(-9).
-132
Let f(u) = -199*u - 7594. Calculate f(-38).
-32
Let f(s) = -5*s**2 + 305*s + 312. Determine f(62).
2
Let a(y) = -y**3 - 32*y**2 - 249*y + 13. What is a(-18)?
-41
Let z(w) = 589*w + 5930. Give z(-10).
40
Let g(l) = 51*l**2 - 8*l - 17. Calculate g(-2).
203
Let l(r) = r**3 + 158*r**2 - 643*r - 15. Give l(4).
5
Let y(s) = s**3 + 2*s**2 - 20*s - 39. Calculate y(-5).
-14
Let p(c) = -c**2 + 45*c - 358. What is p(35)?
-8
Let i(x) = -x**2 - 20*x - 265. Calculate i(-13).
-174
Let u(z) = -2*z**3 + 42*z**2 + 27*z - 292. What is u(21)?
275
Let a(z) = z**2 + 42*z - 483. Give a(10).
37
Let s(u) = -u**3 - 159*u**2 + 149*u - 1762. Calculate s(-160).
-2
Let q(k) = -2*k + 135. What is q(74)?
-13
Let u(g) = 125*g - 1100. What is u(8)?
-100
Let i(a) = 6*a**3 + 64*a**2 - 9*a + 147. Calculate i(-11).
4
Let n(b) = -36*b**2 + 334*b + 293. Calculate n(10).
33
Let w(a) = a**3 - 2*a + 6. Give w(0).
6
Let o(r) = -r**3 - 23*r**2 + 70*r - 188. Determine o(-26).
20
Let i(q) = 4*q**3 - 243*q**2 - 71*q + 112. Give i(61).
-498
Let l(p) = -22*p - 76. Determine l(-6).
56
Let b(r) = 23*r**2 - 2159*r - 45. What is b(94)?
237
Let k(o) = 3*o**2 - 15*o - 214. Calculate k(-6).
-16
Let n(b) = 5*b + 17. Give n(-1).
12
Let q(i) = 442*i + 3814. Give q(-8).
278
Let u(q) = -4*q**2 - 33*q - 214. Give u(-9).
-241
Let m(c) = -c**3 - 5*c**2 - 44*c - 263. Give m(-6).
37
Let k(r) = -9*r - 235. Determine k(-23).
-28
Let s(m) = 5*m**3 - 24*m**2 - 10*m + 44. Give s(5).
19
Let c(f) = -2*f**3 + 4*f**2 - f - 8. Determine c(6).
-302
Let f(x) = -x**2 - 4*x + 27. What is f(-4)?
27
Let x(f) = 129*f - 905. Give x(8).
127
| {
"pile_set_name": "DM Mathematics"
} |
(-6)/(-2)))*-2. Suppose -2*f = -5*b + 1173, -3*b = -4*f - z - 504. Does 18 divide b?
False
Suppose 792 = 76*k - 72*k. Is 4 a factor of k?
False
Suppose -16*f = -13*f - 9. Suppose -29 + 9 = -4*v. Suppose 0 = z - v*q, f*z = -q - q + 68. Is 20 a factor of z?
True
Suppose -9 = -3*t, 5*o + t - 4*t - 381 = 0. Is o a multiple of 26?
True
Suppose 0*k - 2*k - k = 0. Let l(n) = -n**3 - n**2 + n + 54. Is 10 a factor of l(k)?
False
Is (36/15)/((-81)/(-7560)) a multiple of 7?
True
Let w(r) = 7*r**3 + 12*r**2 - 24. Let y(m) = 4*m**3 + 6*m**2 - 12. Let n(x) = -3*w(x) + 5*y(x). Does 3 divide n(-6)?
True
Suppose -429 = -3*k - w - 10, 0 = 2*k + 3*w - 291. Let a(i) = -i + 12. Let q be a(8). Suppose m = q*m - k. Is m a multiple of 10?
False
Let d be ((-9)/3 - -7) + 148. Suppose z + 5*u = 38, 0*u - d = -4*z - 2*u. Is 8 a factor of z?
False
Let x be (-1235)/(-5) + (-3)/(-3). Let l = 39 + x. Does 41 divide l?
True
Suppose 4*i = -h + 24, -2*i - 2*i = -4*h - 4. Suppose h*j - 13 = b, 4*b + 2*j - 33 = -13. Suppose 3*w = b*n - 48, n + 2*w - 11 = -2*w. Is n a multiple of 15?
True
Is (-3881)/(-8) - ((-105)/56 + 2) a multiple of 21?
False
Let p(f) = f**3 + 6*f**2 - f - 2. Let d be p(-6). Let h = 9 - d. Suppose h*y + 4*j = 3*j + 32, 0 = -2*y - 5*j - 1. Does 2 divide y?
False
Let u(h) = 4*h**2 + 5*h - 60. Does 57 divide u(-12)?
True
Let f = -5 + 11. Let v = 9 + f. Suppose 5*g - 4*g = v. Is 11 a factor of g?
False
Let k = -589 + 876. Does 39 divide k?
False
Let q(y) = 198*y + 77. Is q(4) a multiple of 92?
False
Let a(z) be the first derivative of 11*z**3/3 + 2*z**2 - 4*z - 4. Is 33 a factor of a(-4)?
False
Let i be 13 + 6/2 + 1. Suppose 136 = 9*f - i. Does 2 divide f?
False
Suppose 91 = -4*c + 995. Suppose 3*n + c + 8 = 0. Let t = -34 - n. Is 22 a factor of t?
True
Let u(q) = -q**3 + 12*q**2 + 5*q + 12. Let v be u(12). Let y = v - 42. Is y a multiple of 10?
True
Let i(l) = -6*l**3 - 6*l**2 + 9*l + 7. Let u(s) = s**3 - s - 1. Let m(y) = i(y) + 5*u(y). Is m(-7) a multiple of 19?
False
Suppose -9*w + 37 = -8. Suppose 189 = w*h + 2*r + 13, -r - 2 = 0. Is h a multiple of 6?
True
Suppose 0 = -5*w + 5*h + 2175, 3*w - w = -5*h + 905. Let k = w + -305. Is 15 a factor of k?
True
Let z(r) = r**3 - 5*r**2 - 6*r. Let p be z(6). Let u(n) = -3 + p*n**2 + 5*n**2 - 3*n**2 + 2*n**2. Does 4 divide u(-2)?
False
Let c = -101 - -103. Suppose 263 = 4*o + 3*p, -o = 2*p + c*p - 69. Is 35 a factor of o?
False
Suppose -29*y + 39338 = -3*y. Is 78 a factor of y?
False
Let o(t) = 2*t + 207. Does 13 divide o(-39)?
False
Let k = 110 - -583. Is 3 a factor of k?
True
Suppose 0 = 22*r - 15*r - 3689. Does 27 divide r?
False
Suppose 2*d + 5 + 3 = 0. Let q be 1 + d - (4 - -37). Let a = q + 76. Does 16 divide a?
True
Let m(f) = f**2 - 17*f + 477. Is 12 a factor of m(0)?
False
Suppose 5*k - 26 = 119. Is k a multiple of 8?
False
Let j be (-6)/42 - 507/(-21). Let p = j + -19. Suppose 3*y - 3*m - 222 = 0, -p*m = -0*y - y + 78. Does 16 divide y?
False
Let j(y) = y**2 - 6*y + 3. Let l be j(6). Suppose 2*c + 3 = l*c. Let n(r) = -r**3 + 6*r**2 - 4*r + 1. Does 5 divide n(c)?
False
Let f(i) = -i**2 + 18*i - 20. Let v be f(17). Let y be (2 - 3 - v) + 5838. Is y/75 - 2/(-15) a multiple of 36?
False
Suppose 0 = -4*b - 67 + 75. Is 11/((b/(-16))/((-3)/4)) a multiple of 8?
False
Suppose -9*l + 9663 = -2631. Is 74 a factor of l?
False
Suppose 43*b - 40*b = -p + 245, 5*b - 2*p = 390. Is b a multiple of 40?
True
Let g be 4/30*-111*5. Let n = g + 107. Is n a multiple of 4?
False
Let i = -2 - -20. Is 22 a factor of 115 - 1 - 72/i?
True
Is 7 a factor of (96450/70 - 6) + 6/(-7)?
False
Let y = 36 + -34. Suppose 0 = y*h - 10*h + 792. Is 39 a factor of h?
False
Let d(w) = -w**2 - w - 7. Let i be d(0). Let n = 9 + i. Suppose 3*o - n*o = 9. Is o a multiple of 3?
True
Is 3 a factor of (-4)/((-40)/1990) - -7?
False
Does 46 divide (-162)/15*(-80 + -10)?
False
Let o = -165 + 350. Is o a multiple of 11?
False
Let b(y) = -y**3 + 10*y**2 + 19*y + 31. Let g be b(11). Suppose 177 = 8*l - g. Is 37 a factor of l?
True
Suppose -2*r - 5*d + 39 = 0, -2*r + 5*d = 11 - 0. Suppose 4*g = r*g + 9. Let j = g - -21. Is 18 a factor of j?
True
Suppose 1559 = 29*u - 7112. Is u a multiple of 37?
False
Suppose 27*h = 32*h - 405. Let q = -33 + h. Is 24 a factor of q?
True
Let i = 19 - -1. Is 4 + 5/(i/16) a multiple of 2?
True
Let w(l) = 38*l**3 + 2*l**2 - 1. Let q = 121 + -120. Does 7 divide w(q)?
False
Is 13 a factor of (-66)/(-1023) - 4832/(-62)?
True
Let m(o) = 3*o**3 - 5*o**2 - 35*o + 128. Is 5 a factor of m(4)?
True
Let f be 1 + (-68)/51*309/2. Let w = f + 288. Is 44 a factor of w?
False
Suppose -5*u - 11 - 4 = 0, 0 = -4*p + 4*u + 2140. Is 76 a factor of p?
True
Let w = 19 - 23. Let o be (96/28)/w*-7. Suppose -o*t + 140 = -4*t. Does 13 divide t?
False
Suppose 14*s + 5*c = 9*s + 615, 4*s + 5*c = 487. Is 7 a factor of s?
False
Let h be (5 - (8 - 4))*7. Let c(y) = 5*y**2 - y**2 - 1 - 3*y**2 - 5*y. Does 11 divide c(h)?
False
Let l(k) = 9*k - 10. Let n(d) = 18*d - 19. Let f(r) = -11*l(r) + 6*n(r). Suppose 5*u + 3 = -c + 25, 3*u - 6 = 3*c. Does 9 divide f(u)?
False
Is (7/(-3) - -1)*-240 a multiple of 5?
True
Let a = -10 + 17. Suppose 43 = a*x - 6. Is x a multiple of 7?
True
Suppose -5*o - 66 = 4*a + 49, a = -5*o - 100. Let h = o + 32. Is h a multiple of 7?
False
Suppose 2*x - 4*y = -0*y, 8 = 2*x + 4*y. Let s = -20 - -37. Suppose -6 = -x*j + c + 2, 0 = -5*j + c + s. Is j a multiple of 2?
False
Suppose 14 = -4*o + 42. Suppose 0 = o*i + i + 16. Let q(f) = -7*f**3 - 2*f**2 + f - 1. Is 7 a factor of q(i)?
False
Let a be (-18)/12*(-8)/3. Suppose m = -l + 6, -a*l = m - 5*m + 8. Suppose l*d - 6*d + 72 = 0. Is d a multiple of 6?
True
Suppose 0 = -18*t + 14*t + 128. Suppose 5*m - 9*m = t. Let r = m - -20. Is r a multiple of 3?
True
Let j be ((-42)/(-6))/((-21)/(-15)). Let p be (0 - 1) + 95/1. Suppose 46 = j*l - p. Is l a multiple of 7?
True
Let m be (6/15)/((-3)/(-255)). Let i = m - 18. Is 8 a factor of i?
True
Let j(u) = -195*u - 1. Let w(c) = -c**2 + 15*c - 1. Let k be w(15). Does 27 divide j(k)?
False
Let g be ((9/1)/(-3))/(-1). Suppose z + 4 = -g*z. Is 1*(1 - (z + -19)) a multiple of 7?
True
Suppose 3851 = 25*b - 34649. Is 28 a factor of b?
True
Let t be 3 + 5/((-5)/(-2)). Let o = -5 + t. Is (3 - o)/(-1) + 52 a multiple of 19?
False
Is 5 a factor of (-3 + -358 + 0/(-5))/(-1)?
False
Let r = 25 + -7. Let b = -13 + r. Suppose -282 = -b*l + 8. Is l a multiple of 29?
True
Let o(w) = 3*w + 2. Let d be o(4). Let z be ((-5)/(-10))/(1/d). Suppose z*b - 2*b + 2*y - 75 = 0, -60 = -4*b + 2*y. Is 7 a factor of b?
False
Suppose -k = 5*r + 61, -2*r - 5*k = 3*r + 45. Let f be ((-10)/3)/((-2)/15). Let y = r + f. Does 9 divide y?
False
Let v = -34 - -37. Suppose 2*q + 5*t + 17 = v, 5*q - 4*t = 31. Is q even?
False
Suppose 5*g - 4*p - 558 = 357, 5*g + p = 940. Suppose 3*h - g + 4 = 0. Is 10 a factor of h?
False
Let a be 4/6*3/2. Suppose -2*l = -w - 0*l + 4, 15 = 3*l. Let b = a + w. Is 3 a factor of b?
True
Let a be (18/(-4))/(60/(-80))*1. Suppose a*s + 5*p - 220 = s, 0 = s - 2*p - 47. Is s a multiple of 9?
True
Is (-3890)/(-15) + (-8)/6 a multiple of 7?
False
Let t(l) be the second derivative of 3/2*l**3 - 3/2*l**2 - 1/12*l**4 + 0 + l. Is 2 a factor of t(7)?
False
Suppose -s - 2*f = -5*f - 105, 5*s + 2*f - 593 = 0. Suppose -j + 2*j - 18 = t, -s = 5*t + 4*j. Is 25 a factor of (90/t)/((-2)/14)?
False
Suppose 5*n - 11 = 4. Suppose -5*f - 3*q + 37 = 0, -17 = 2*f - 3*f - n*q. Suppose 6*b - f*b - 24 = 0. Is 8 a factor of b?
True
Let k = 2269 - 978. Does 102 divide k?
False
Let r = 99 + 93. Is r a multiple of 6?
True
Suppose 5*i - 2*i = v + 87, 0 = 3*i - 4*v - 87. Suppose -9 + 47 = 5*j - 3*c, c = 4*j - i. Is 866/j + 2/7 a multiple of 25?
False
Let x = 228 + -206. Suppose -3*a + 3*y - 3 = 0, -5*y + 26 = -2*a + 9. Let r = x - a. Does 8 divide r?
False
Suppose 0 = 10*o - 20. Suppose -d + o*d = -2*y + 239, -598 = -5*y - 2*d. Is y a multiple of 15?
True
Suppose -5*g - 57 - 158 = 0. Let x = -29 - g. Does 14 divide x?
True
Suppose 4*d - 2*d = -66. Let k = d + 8. Let y = -7 - k. Does 10 divide y?
False
Suppose 32*g + 13434 - 38746 = 0. Is g a multiple of 89?
False
Let b = -21 + 140. Is 17 a factor of b?
True
Does 9 divide 1/5 - 276545/(-1025)?
True
Let p(u) = 2*u**2 - 2*u + 14. Suppose -5*g + g = 28. Is | {
"pile_set_name": "DM Mathematics"
} |
- -3).
5
Let b(w) be the first derivative of 9*w**2/2 - 2*w - 3. Suppose q = 3*r + 15, 9*q - 2*r - 88 = 4*q. Calculate the remainder when b(4) is divided by q.
16
Let y = 148 - 138. What is the remainder when 22 is divided by y?
2
Suppose 0 = 6*a - a - 20. Calculate the remainder when 18 is divided by a.
2
Suppose -4 = 10*t - 264. What is the remainder when t is divided by 7?
5
Let w = -7 - 1. What is the remainder when 270/8 - 2/w is divided by 12?
10
Suppose -2*b + 714 = 5*f + 162, -2*f + b = -228. Calculate the remainder when f is divided by 31.
19
Suppose 0 = -4*m + 4*o + 24, -m + 15 = m - 5*o. Suppose -m*f = 2*d - 17, -3*f - 2*d - d = -3. Calculate the remainder when 13 is divided by f.
3
Let v(o) = -o**3 - 2*o**2 - 2. Suppose -3*a - 95 = -2*g - 2*g, -g + 10 = 2*a. Calculate the remainder when g is divided by v(-3).
6
Suppose -b = v - 59 + 2, 5*b + 245 = 5*v. Calculate the remainder when v is divided by 14.
11
Suppose 0 = 4*n + i - 0*i - 95, -3*i = 2*n - 55. Calculate the remainder when 4/6 - 127/(-3) is divided by n.
20
Let s = -2 + 2. Suppose s = 5*g + 1 - 6. Let c = g - 0. Calculate the remainder when 1 is divided by c.
0
Let l = -20 - -25. Calculate the remainder when l is divided by 4.
1
Let s be 2/9 + (-16)/(-9). Suppose 63 = -s*a - 3*y, 3*y = a + 2*a + 57. What is the remainder when 34 is divided by ((-3)/(-2))/((-3)/a)?
10
Suppose -3*g + 204 = 9*g. What is the remainder when 184 is divided by g?
14
What is the remainder when 2/3*819/42 is divided by 2?
1
What is the remainder when 60 is divided by (-1390)/(-40) - (-3)/(-4)?
26
Suppose -27 + 42 = 3*k. Suppose 3*i = -5*y + 95, k*y - 3*i = i + 95. What is the remainder when y is divided by 7?
5
Suppose -5*u + u = -16. Suppose -u = -g + 12. Suppose 7*p - g = 3*p. Calculate the remainder when 10 is divided by p.
2
Calculate the remainder when 1/((-1)/5*-1) is divided by 3.
2
What is the remainder when (60/(-9))/(2/(-15)) is divided by (-75)/(-6) + (-2)/(-4)?
11
Suppose 1957 = 19*l - 266. What is the remainder when l is divided by 40?
37
Let n = -1 - -12. What is the remainder when n is divided by 4?
3
Suppose 5*x = 10, -h = -0*h - 4*x + 1. Let b(k) = -k + 11. Let f be b(h). Suppose f*r + 19 = 55. What is the remainder when r is divided by 5?
4
Suppose -3*b = -4*b + 27. What is the remainder when 104 is divided by b?
23
Let t(b) = b**3 - 9*b**2 + 7*b + 8. Let r be t(8). Suppose -5*n + r*d = -5*d - 280, 168 = 3*n + 5*d. Calculate the remainder when n is divided by 19.
18
Let v(w) be the third derivative of w**4/24 - 2*w**3/3 + 7*w**2. What is the remainder when 10 is divided by v(10)?
4
Let o(k) = 3*k + 2. Suppose -5*j = 20*j - 550. Calculate the remainder when j is divided by o(2).
6
Suppose -3*q + q + 520 = 0. Suppose q + 73 = 3*i. What is the remainder when (-2)/5 - i/(-15) is divided by 3?
1
Let k(w) = 2*w**2 + 4*w + 3. Let d be ((-6)/2)/((-3)/(-2)). Suppose -21 = -3*b + 3. Calculate the remainder when b is divided by k(d).
2
Suppose -2*u + 4*b - 4 = 8, 4*u = -b + 21. What is the remainder when u is divided by 3?
1
Suppose 5*p - 4*q - 76 = 0, 2*q - 7*q + 4 = 2*p. Suppose -2*c = -c - p. What is the remainder when 21 is divided by c?
9
Let b = -11 + 11. Suppose 0 = 3*z - 3*p - 132, b = -2*p + 4*p + 10. What is the remainder when z is divided by 10?
9
Suppose -22 = -9*q + 14. Calculate the remainder when 27 is divided by q.
3
Let a = -5 + 6. Suppose 0 = -o + 3*w + 20 - a, 159 = 5*o + w. What is the remainder when o is divided by 11?
9
Suppose 4*z = -0*z. Suppose 2*o + z = 22. Calculate the remainder when o is divided by 6.
5
Let o be 1/2*1*-10. Let y(b) = -6*b**2 - 9*b + 10. Let g(w) = -5*w**2 - 8*w + 9. Let f(q) = o*g(q) + 4*y(q). What is the remainder when 27 is divided by f(-6)?
6
Let y(c) = -c**2 - 6*c + 3. Let u be y(-3). Let g = u - 4. Suppose 0 = -3*h - 3*j + 78, 4*h = -3*j - 2*j + 108. Calculate the remainder when h is divided by g.
6
Suppose -2*r - 10 = -7*r. Suppose 7 + 11 = r*g. Let m(f) = f + 8. What is the remainder when 50 is divided by m(g)?
16
Let z(g) = g + 6. Let l(y) = -3*y - 18. Let v(m) = -2*l(m) - 7*z(m). Let k be v(-5). Calculate the remainder when (k/(-1))/(5/155) is divided by 11.
9
Let n = 2 - -5. Suppose n + 25 = 2*o. Calculate the remainder when 1*o - 0 - -1 is divided by 6.
5
Let s = 50 + -29. Let m = -13 + s. Calculate the remainder when 22 + 3/9*3 is divided by m.
7
Let j(d) = 4*d + 1. Let x be j(-2). Let m(l) = l + 11. Calculate the remainder when 14 is divided by m(x).
2
Suppose 2*g + 53 = 3*g. Suppose -25*w + 162 = -16*w. What is the remainder when g is divided by w?
17
Let h(v) = 7*v - 4. What is the remainder when 8 is divided by h(1)?
2
Let k(o) be the third derivative of 4*o**5/15 + o**4/24 - o**3/6 - 6*o**2. What is the remainder when 41 is divided by k(-1)?
13
Let k(d) = d**2 + d - 4. What is the remainder when k(7) is divided by 11?
8
Suppose 0*n - 434 = -4*t + 2*n, -4*n - 220 = -2*t. What is the remainder when t is divided by 55?
53
Let a be (-40)/(-6) - 4/6. Let l(c) = c**3 - 7*c**2 + 7*c + 6. Calculate the remainder when 22 + -2 + 1 - -1 is divided by l(a).
10
Suppose 2 = f + 4*o, -4*o + 0 = 3*f - 6. Calculate the remainder when 42 + f + 1 + 0 is divided by 23.
22
Calculate the remainder when 81 is divided by 40/10*(-42)/(-8).
18
Let u be 7/5 + (-12)/(-20). Suppose -4*h = u*b - 28, 0 = 3*b - 6*b + 6. Let q = h - 3. Calculate the remainder when 8 is divided by q.
2
Suppose -f - 28 = 4*f - k, 4*f = 4*k - 16. Calculate the remainder when 7 is divided by (-16)/f + 2/(-3).
1
Suppose -7*z + 444 = -25. What is the remainder when 466 is divided by z?
64
Let q = 2 + 27. Suppose 3*z - 4 = q. Let g = z - 7. What is the remainder when 10 is divided by g?
2
Suppose 9*p - 185 = 4*p. What is the remainder when p is divided by (-12)/((-2)/(4/3))?
5
Calculate the remainder when ((-85)/2 - 2)/((-5)/10) is divided by 23.
20
Suppose 5*k + 43 = 5*c - 57, -32 = -2*c - 2*k. Calculate the remainder when 71 is divided by c.
17
Suppose 2*i - 3 - 5 = 0. Calculate the remainder when (-2 + 14/4)*10 is divided by ((-16)/(-1))/i - -2.
3
Calculate the remainder when 0 - (-96 + -1) - (62 - 62) is divided by 25.
22
Let w(l) = l - 2. Let n be w(7). Suppose 0 = -n*z - f + 156, -3*z + 6*z - 2*f - 91 = 0. Suppose -u - 4*u = -80. What is the remainder when z is divided by u?
15
Suppose 0*a - 35 = -5*a. Let l = 9 + a. Suppose 5*u = d + 29 - 3, u + 2*d - 14 = 0. What is the remainder when l is divided by u?
4
Let j(g) = -11*g + 7. What is the remainder when j(-5) is divided by 17?
11
Let r = -37 - -24. Calculate the remainder when -2*r*3/6 is divided by 7.
6
What is the remainder when (-6)/(-9) + (-507)/(-9) + 1 is divided by 15?
13
Let o = -44 + 58. Let i(d) = 2*d**2 - d - 4. Let h be i(-3). Let t = h - 9. What is the remainder when o is divided by t?
6
Let v = 1 - -3. Suppose v*o - o = 36. Let d(b) = b**3 - 3*b**2 + 6*b - 6. What is the remainder when d(4) is divided by o?
10
Let u = 2 + -2. Let t be (-1)/(-3)*(-3 - u). Let n = 1 - t. Calculate the remainder when n is divided by 2.
0
Let j be (-6)/(-4)*(-16)/(-12). Suppose -7 = 4*c - 19, j*h - 2*c - 52 = 0. What is the remainder when h is divided by (-1)/(-1*1/10)?
9
Let h(g) = -23*g - 11. What is the remainder when h(-4) is divided by 28?
25
Suppose -147 = -3*a + 42. What is the remainder when a is divided by 11?
8
Suppose 4*t - 2*m - 15 = 3*t, 0 = -5*t - 4*m + 5. Suppose 170 = 10*a - t*a. Let f = -21 + a. Calculate the remainder when 37 is divided by f.
11
Let w(p) = p**3 - 8*p**2 - 7*p - 9. Let f be w(9). Let k(i) = 5*i + 2*i**3 - 9*i**2 - i**3 + 0*i**3 - 2. Calculate the remainder when k(f) is divided by 15.
13
Let c = 105 - 91. What is the remainder when (11/(-3) - 0)*-15 is divided by c?
13
Let i(n) = n**2 + n + 3. Let l = -27 + 56. What is the remainder when l is divided by i(-4)?
14
Let v be ((-9)/15)/(44/(-20) - -2). Let d = -12 - -63. Suppose -v*c + 0*c = 2*n - d, -5*n + 3*c = -96. What is the remainder when n is divided by 11?
10
Suppose -4*m + 16 = -2*m. Let b = m - -2. Calculate the remainder when 29 is divided by b.
9
Let m = 1 - 4. Let c(h) = -9*h - 4. What is the remainder when c(m) is divided by 7/(21/18) - -2?
7
What is the remainder when 46 is divided by (-1 - 0)/((-3)/75)?
21
Let f = -49 - -82. What is the | {
"pile_set_name": "DM Mathematics"
} |
6/(-21).
40
Find the common denominator of 83/4 and 33/(-18) - -1*(-3)/(-3).
12
Let u be (-13395)/1911 + (-4)/26. Let y = u - 1831/490. What is the common denominator of y and -17/18?
90
Suppose 38 = 4*l + 22. What is the lowest common multiple of l and 96?
96
Let u(n) = -n**2 + 4*n + 7. Calculate the least common multiple of u(5) and 4.
4
Suppose 2*g - 48 = -4. Calculate the least common multiple of -3 - -4 - (1 + -2) and g.
22
Let o = 24 + 9. Calculate the common denominator of 0 + ((-39)/o - -2) and 23/11.
11
What is the lowest common multiple of 2/1*100/10 and 10?
20
Suppose 4*p = 34 + 46. Let i = -595 - -5392/9. Calculate the common denominator of i and (-1012)/(-80) - 8/p.
36
Suppose -2*q = -5 - 1. Suppose -o = -4*o - 5*v + 94, -3*o + 84 = q*v. What is the common denominator of -10 and o/(-11) - (-1 + 0)?
11
Let t = 4183/396 - -2/99. Suppose 0*p + 4 = 4*p. Find the common denominator of (366/4)/((-33)/p) and t.
132
Suppose c + 3 = 0, z - 20 = 3*c + c. Calculate the smallest common multiple of 9 and 1 + -2 + z + 1.
72
Let r be (-6)/2 - (-445)/45. Let f = -1409/198 + r. What is the common denominator of f and -13/2?
22
Suppose 0 = 10*m - 12*m + 27802. Let o = -222503/16 + m. Calculate the common denominator of -9/4 and o.
16
Suppose 2*j - 3 = 5. Suppose -3*b + j*b = -5. What is the least common multiple of (-1 - 7/5)*b and 16?
48
Let d = 44 - 41. Calculate the lowest common multiple of 6 and d.
6
Suppose 3353 = 2*q + 359. Find the common denominator of -145*(10/12)/5 and 4/(-14) + q/168.
24
Let g be -27*(2/(-1) + -1). What is the common denominator of (1/21)/(2/g) and ((-1)/18)/(4/534)?
84
Suppose 4*s - 888 = -3304. What is the common denominator of (21/56)/((-27)/s) and -47/16?
144
Suppose g + 2*g - 99 = 0. Suppose -4*a = -3*y + 15, 6 = 4*y + a - g. Calculate the smallest common multiple of y and 9.
9
Let u = -581 - -349. Let o = u - -2323/10. Let g = -5803/6 + 972. Find the common denominator of o and g.
30
Find the common denominator of 427/(-63) - 6/4 and 21/16.
144
Suppose 0 = 5*r + 3*u - u - 110, 3*u = 0. What is the smallest common multiple of r and 26?
286
Calculate the least common multiple of 28 and -1*(4 + 0 + -11).
28
What is the common denominator of (-4)/(-30) + (-10073)/(-840) and -101/10?
40
Let l = 3 + -2. Calculate the least common multiple of 15 + (-3 - (-1 - l)) and 10.
70
Let w = 3835/3 - 1266. Calculate the common denominator of (-5)/(-50)*(49 - -2) and w.
30
Suppose 0*i - 2*i + 2*b = -24, -5*i + 24 = 4*b. Let a(n) = n + 6. What is the lowest common multiple of i and a(0)?
24
Let x = -7 - -3. What is the common denominator of 5 + x + (-34)/(-24) and -95/6?
12
Suppose 4*m - 3*m = 0. Suppose -c = -m*c - 6. Calculate the smallest common multiple of 10 and c.
30
What is the smallest common multiple of -1 + (1*25)/(8 + -7) and 2?
24
Let y = -177 - -217. Calculate the smallest common multiple of y and 3.
120
Suppose m + 3*l - 11964 = 0, -4*m + 6610 = -4*l - 41246. Let j = -215431/18 + m. What is the common denominator of j and -73/8?
72
Let d(p) = -2*p - 1. Let i be d(-1). What is the smallest common multiple of 5 and ((-20)/(-16))/(i/4)?
5
Suppose -17 + 7 = -5*k. Calculate the smallest common multiple of k and 6.
6
Suppose -4*r + 62 = 4*p + 6, -2*r + 10 = -4*p. Let u(b) = b**3 + b + 6. Calculate the smallest common multiple of u(0) and r.
66
Let j(k) = k**3 + 16*k**2 - 2*k - 16. What is the least common multiple of 16 and j(-16)?
16
Let u be 12*1*2/3. Suppose -3*n + 12 = -0*n. Suppose -n - u = -4*g. What is the lowest common multiple of g and 7?
21
Let g be 0 - 9/(-3) - 0. Find the common denominator of ((232/g)/(-2))/2 and 19/5.
15
Let o = -15 + 6. Let s = 35 - o. Suppose -3*d + s = -d. Calculate the smallest common multiple of 10 and d.
110
Let t(r) = -r**3 + 2*r**2 + 5*r - 2. Let k be t(3). Suppose k*o - 15 = 5. Calculate the lowest common multiple of 3 and o.
15
Let r(w) = -w**2 - 5*w + 7. Let j be r(-5). Suppose 67 = 5*s + 4*m, -s - j = 3*m - 27. Suppose -6 - 9 = -5*z. What is the lowest common multiple of s and z?
33
Let j(v) = -v**3 + 7*v**2 - 3*v - 2. Suppose -2*h = -2*o + 8, 2*o - 12 - 10 = -5*h. Calculate the lowest common multiple of 105/(-14)*8/(-5) and j(o).
48
Let u(s) = -32*s. Let t be u(1). Calculate the least common multiple of 6/(-4)*t/6 and 18.
72
Let v be (1/3)/((-5)/75). Let g = v + 14. Find the common denominator of -56/5 and 2 + g*3/(-12).
20
Find the common denominator of 9/(-6)*57/(-9) and -25/22.
22
Let s = 3241/4 - 799. Find the common denominator of s and 89/44.
44
Suppose -3*b = -4*p - 24, 4*p = 4*b - 11 - 9. Calculate the common denominator of (-329)/98 - (1 - -1) and (3/8)/(p/142).
84
Suppose 0 = 5*i - 2*g - 22, 5*i = -g + 27 - 8. Suppose i*m - 50 - 30 = 0. Calculate the least common multiple of 22 and m.
220
Let v = 49335449 - 175617621729137/3559664. Let f = v + 30335456663/195781520. Let a = 1539/10 - f. What is the common denominator of -35/12 and a?
132
Let h = -4063/38064 - 5/624. Let p = -391573/20 - -71569219/3660. Let r = p + h. What is the common denominator of 41/9 and r?
9
Suppose 0 = 5*o - 0*o + 140. Let f = o - -44. Let x = 1 + 11. Calculate the least common multiple of x and f.
48
Find the common denominator of -57/10 and (-6)/4*(-101)/(-18).
60
Suppose 4*f + 1 = 41. Calculate the smallest common multiple of 22 and f.
110
Find the common denominator of 172/(-32) + 3 + -4 and 109/22.
88
Let m = 93/8458 + 38986779/33832. Let v = m - 1146. Calculate the common denominator of v and ((-2)/4)/((-14)/58).
56
Let l(g) = -g**3 - 4*g**2 + 5. Suppose -5*q = 2*f - 12, -3*q - 32 = 4*f - 7*q. Let v = 32 + -21. What is the lowest common multiple of v and l(f)?
55
Suppose 3*s - 22 - 20 = -3*c, -2*s + 55 = 5*c. Calculate the lowest common multiple of c and 30.
90
Let h be (-14)/(-3) - (-8)/(-12). Suppose h*n = 15 + 13. What is the lowest common multiple of 76/18 + (-8)/36 and n?
28
Let n = 47849/8 + -5973. Find the common denominator of -53/5 and n.
40
Suppose 8*x = 3*x + 10. Let f(y) = y + 1. Calculate the least common multiple of x and f(5).
6
Suppose -4*w + 2*h - 4*h = -48, -2*h = -4*w + 32. Let m = -23 - -25. Calculate the least common multiple of w and m.
10
Let u(j) = j**3 + 4*j**2 - 4*j - 10. What is the lowest common multiple of u(-4) and 18?
18
Let u be 2/6 - 136/300. Let s = u - 201/200. Find the common denominator of s and 47/4.
8
Calculate the common denominator of -67/2 and 0 + 22*20/(-64).
8
Let w(u) = 2*u**3 - 3*u**2 + u. What is the lowest common multiple of 24 and w(3)?
120
Let k = 394807/20 - 19736. Calculate the common denominator of k and -5/14.
140
Find the common denominator of (-139)/(-2)*-6*4/(-144) and -149/18.
36
Suppose 4*h + 4 = -4. Let g be 1/(-2 - -4)*-58. Find the common denominator of g/(-3)*h/(-12) and 89/8.
72
Let x = -3 + 20. Let v = -14 + x. What is the smallest common multiple of v and 5?
15
Let p = 4/2161 - 201061/47542. Calculate the common denominator of p and -1 - (869/(-48))/(-11).
528
Suppose l = 4*l. Suppose -4*n + l = -8. Suppose -n*z + 3*z = 3. What is the smallest common multiple of z and 7?
21
Suppose 4*v - 130 = 2. What is the smallest common multiple of 24 and v?
264
Let z = -7 + 13. Let a(s) = s**3 + 2*s**2 + 1. Let k be (-2)/4*(1 - -3). What is the least common multiple of a(k) and z?
6
Suppose 2*c - 18 + 6 = 0. Let j(w) = w**2 + 3. Calculate the least common multiple of c and j(-3).
12
Let v = -3895 - -38887/10. Calculate the common denominator of 117/10 and v.
10
Let t = -61 + 109. What is the least common multiple of 4 and t?
48
Suppose -5*q - 13 = -53. Calculate the smallest common multiple of 22 and q.
88
Suppose -f + 3*f - 32 = 0. What is the smallest common multiple of f and 7?
112
Let d = -12 - -23. Suppose -2*b + a + 17 = 0, 2*a - 2 + 12 = 0. Calculate the least common multiple of d and b.
66
Find the common denominator of (-12)/(-42) + (-906)/(-112) and -3/10.
40
Let i be (-2)/(-6) + 24/9. Suppose -10 - 23 = -i*a. Calculate the smallest common multiple of a and 1.
11
Suppose 0*v - a = -4*v + 89, 0 = -3*v + 2*a + 63. Calculate the smallest common multiple of 10 and v.
230
Let v = 3416/9 - 380. Let j = -39869/8 + 4974. Find the common denominator of v and j.
72
Let l(x) = x**2 - 12*x + 4. Let v be l(12). Calculate the common denom | {
"pile_set_name": "DM Mathematics"
} |
= 30791 + -30790.9. Which is greater: t or -94.5?
t
Let h = 41 - 37. Let q be (-17)/34 + (-214)/h. Let l be ((-2)/8 + 1)*12/q. Are 1 and l equal?
False
Let u(r) = r**3 - 7*r**2 - 2*r - 1. Let d be u(6). Let h = d + 49. Suppose h = -2*s + 8*s. Is s less than -1/25?
False
Let f(k) be the second derivative of 17*k**3/6 - 85*k**2/2 - 98*k. Let d be f(5). Are 1/8 and d unequal?
True
Let k be (-1)/(-3)*(14 - 17). Let o be (144/136 + -1)/(k/8). Does o = 1?
False
Let o = -1823.3 + 1840.9. Let k = -2/191 + 392/955. Which is smaller: k or o?
k
Suppose -6 = k - 3*q + 2, -5*q - 8 = k. Let f be (k/(-6) + 0)/((-3)/216). Let j be (-3 - f/33)*-5. Is -1 != j?
True
Suppose 4*j - 2*a - 22 = 0, -10*j + 2*a = -11*j - 2. Suppose -12 = j*o, -5*m - 31 = -4*m + 3*o. Which is bigger: -20 or m?
-20
Let h = -16100 + 16622. Are h and 522 nonequal?
False
Let d(a) be the third derivative of 59*a**5/60 - a**4/8 - 2*a**3/3 + 12*a**2. Let l be d(-1). Let h = l + -53. Is h less than -4?
False
Let y be -5*(-24)/(-2799)*6/15. Is 1 at least y?
True
Let g(y) = -33*y + 34. Let j be g(6). Let t = -2505 - -2341. Is t greater than or equal to j?
True
Suppose -338 = 1394*l - 1407*l. Is l < 16?
False
Let s = 69 + -69.33. Let o = 2353 + -2352.7. Let a = s + o. Is a > 0.01?
False
Let h = -0.9683 + 0.7283. Which is smaller: 1 or h?
h
Let t = -19.66 - -22.4. Let d = 3.2 - t. Let w = d - 1.76. Which is smaller: w or -1/6?
w
Let g(w) = -w**3 + 85*w**2 + 545*w + 74. Let o be g(91). Which is bigger: o or -720/43?
-720/43
Let v = 574 + -387. Let k = v - 119. Let w = k - 69. Is w <= -2?
False
Let i(q) = q**3 + 13*q**2 - 158*q - 837. Let z be i(-19). Which is bigger: z or 1/31853?
1/31853
Let c = -432613/26 - -16639. Suppose -2*x - 3*y = 6, 3*y + 32 - 8 = -5*x. Let i be (4/(-6))/(4/x). Which is smaller: c or i?
c
Let u be (64/(-20))/(28/210). Suppose -q - 50 = q. Let n = u - q. Is -0.22 at most n?
True
Let w = 301 + -415. Which is smaller: -19 or w?
w
Let h(f) = -2 + f**2 + 37*f + 45*f - 123*f + 43*f. Let x be h(3). Which is bigger: x or 68/5?
68/5
Let m = -999 - -1663. Let k = 732.8 - m. Let n = -68 + k. Which is bigger: n or -1/3?
n
Suppose -2*q + 93 - 25 = 0. Let b be 45770/1380 - (1/(-3) + (0 - 0)). Which is smaller: b or q?
b
Suppose 13 = -2*s + 7. Let j = -0.85 + -0.28. Let z = j + 1.26. Does z = s?
False
Let j(o) = -o**3 - 8*o**2 - 8*o - 2. Let x be j(-7). Let t = 9 - x. Let m be (6/(-92))/(2/(t/6)). Which is greater: m or 0?
0
Let m be (22 - 3) + -1 + -3. Suppose 3*b - 183 = m. Let j be 144/b*2/8. Which is bigger: j or 2?
2
Let s(x) be the third derivative of -x**5/60 - x**4/4 + 80*x**3/3 + 78*x**2. Let q be s(-16). Is q != -19/13?
True
Let t(s) = -s**3 + 8*s**2 + 2*s - 11. Let g be t(8). Suppose 0*w - 2*n = 2*w - 70, -g*w + 166 = 2*n. Let v be 3 + (-2 + -6 - -36). Which is smaller: v or w?
v
Let m be 63387/2*(12 - (-520)/(-39))/(-6). Which is smaller: 21128/3 or m?
21128/3
Let d = 1878 - 5635/3. Which is greater: d or 2/1065?
2/1065
Suppose 10*v - 39 + 5 = 6. Let c(o) = -o - 2. Let t be c(-6). Is v bigger than t?
False
Let u(k) = 543*k + 32569. Let v be u(-60). Let p(b) = b**2 - 11*b - 1. Let i be p(9). Which is smaller: i or v?
i
Let p = -18022 + 15655. Which is smaller: p or -2372?
-2372
Suppose -2*d - 5*p = -0*d + 11, 28 = -4*d - 4*p. Let l be 15/(-21)*(-812)/290. Which is smaller: l or d?
d
Let i = -351 - -13. Let h = -393 - i. Is -59 less than h?
True
Suppose 2*h + 2*w + 656 = 0, -5*h - w = -7*h - 668. Which is smaller: -326 or h?
h
Let f = 777 + -776. Let u be 7/f - (-220)/(-180). Are 5 and u equal?
False
Suppose 0*g + g + 13 = 3*t, 3*t - 4*g = 25. Let i = 61 - 57. Suppose -t*x = -i*x - x. Which is bigger: -2/9 or x?
x
Let a be 25236/(-90)*(5/2 - 0). Which is smaller: a or -697?
a
Let y = -31695 - -22566839/712. Let f be 0 - 0 - (-3)/(-3). Which is greater: y or f?
y
Let g be 6034/(-1155) - (-128)/960. Suppose 1 = -3*s - 11. Which is greater: s or g?
s
Suppose 0 = -5*g - 71 + 76. Let w = -349840/293 + 1194. Which is greater: g or w?
g
Let t be (-137462)/468*(-12)/(-15). Let c = -1888/9 - t. Is c greater than 0.1?
True
Suppose -366073 + 5991 = -79*k. Is k >= 4557?
True
Let b be (-51)/(255/20) - (-2 + 7). Is -232/25 at most as big as b?
True
Let c(f) = f**3 - 73*f**2 + 273*f + 203. Let d be c(69). Suppose 7*h - 2*h - 5 = 0. Suppose z - h + 3 = 0. Which is smaller: d or z?
d
Let p = 18399 - 18012633/979. Which is smaller: p or -1?
-1
Suppose 4*k + 16001 = 3*u, -2*k = -4*u - u + 7997. Let d = 732181/183 + k. Are 0 and d nonequal?
True
Suppose -5*c - 130 = -275. Let y = 1951/30 + -215/6. Is y > c?
True
Let v = 35.9753 + -0.0753. Let m = 35.8 - v. Is -14/5 at least as big as m?
False
Let i be 12 + (-4298)/127 + 22. Is i <= -1?
False
Suppose -3*c - 4*k + 12 - 305 = 0, -2*c + 5*k - 180 = 0. Suppose 267*l - 241*l = -2522. Which is smaller: l or c?
l
Suppose 17*n = 30*n - 11*n. Is -7/123 greater than n?
False
Let m be ((-12)/4)/((-808)/792916). Suppose 96*l + 8832 = 99*l. Let a = m - l. Which is bigger: 0 or a?
0
Let l(r) = -r**3 + 9*r**2 + 10*r - 89. Let c be l(9). Let m be 62/(-120) + (-2)/(-8). Is c less than m?
False
Suppose -5*o - 3*q - 1305 = 0, 0 = 3*q - 9 - 6. Is o != 2?
True
Suppose 26*g + 5*g - 155 = -62. Is 39/20 at most g?
True
Suppose -r = -0*r. Let p = -2927 + 108290/37. Let x = p - -100/259. Is x >= r?
True
Let o = -1 - -1.1. Let p = -233903/8610 - 1/4305. Let w = 1739/66 + p. Does w = o?
False
Let p = 4613 - 4613. Does 2/285 = p?
False
Let d be (20/(-40))/(129/21). Suppose -27 = -9*l - 36. Which is smaller: d or l?
l
Let x be 64/(-48)*6/(-4). Suppose x*z + 2*p + 6 = -3*p, -4*z - 42 = -5*p. Suppose 0 = 5*f - 20, -2*l + 4*f = 23 + 7. Which is smaller: l or z?
z
Let q = -21 + 74. Suppose 0 = -q*n + 51*n + 2. Is -1/199 at least n?
False
Let t = 1/1167 - -3499/2334. Let q = 46 - 38. Is t <= q?
True
Let n = -2692 + 13254/5. Is -42 != n?
True
Let u = 0.053459 + -318.053459. Let f be 18/12*(-4)/6. Which is smaller: f or u?
u
Let v = 0.06789 - -0.02181. Is 1 at most as big as v?
False
Let o = 1550 + -137944/89. Is 0 at least o?
False
Let l = -38449/3 + 12722. Is l at most -94?
True
Let q = -76556 - -51522200/673. Do q and 1 have different values?
True
Let m(h) = 15*h - 62. Suppose 11*j - 18 = 4. Suppose -3*c = j*u - 31, -c + 11 = 2*u - 2. Let y be m(c). Is y > 73?
False
Let n be (-544)/1592*5/2. Is n at least -2?
True
Let u(k) = 2*k**2 - 115*k - 559. Let r be u(62). Which is smaller: r or 3/295?
r
Let q(c) = -16 - 9*c - 2*c + 8*c + 0*c. Let f be q(5). Which is greater: f or -29?
-29
Suppose 4*j + 2 = 2*t, -2*t + 23 = 3*t - 4*j. Suppose 0*b = t*b - 21. Suppose b*a = -7 + 4. Which is smaller: a or -8/17?
a
Let t = -27.66 - -0.66. Suppose -514 = -2*v - 4*i + 26, -5*v - 2*i + 1390 = 0. Let g be (-12)/(-16) - v/288. Which is bigger: t or g?
g
Let t = 1119 - 1118. Which is smaller: -15/229 or t?
-15/229
Suppose 38*q = 10769 + 4317. Suppose 1008 - q = -13*o. Which is bigger: o or -45?
-45
Let u be ((-17)/24)/(-1) - (-1182)/(-3546). Suppose -3*v - 6 = 2*r, 4*r + v = 5*v + 8. Let i = -1 + r. Which is greater: u or i?
u
Let i = 9680.6 - 9680. Which is smaller: i or 443?
i
Let p = -113 - -113.17. Suppose 10*f - 5*f + 15 = 0. Let j be 1/f*12/2. Is j != p?
True
Let s = 3117 + -638986/205. Which is smaller: -1 or s?
-1
Let q = -765 - -735. Let l be (-1)/(((-81)/12)/((-9)/q)). Is l smaller than -1?
False
Let n(p) = -22 + 3*p**3 + 16 - p**3 + p + 2*p**2 - p**3. Let q be (-2)/9 - (-10)/45. Let k be n(q). Is k less than or equal to -4?
True
Let x = 57.41 - 59. Let s = x + 1.89. Which is bigger: 2.4 or s?
2.4
Let i(f) = f**3 + 6*f**2 + 18. Let w(n) = -n**3 - 5*n**2 - 17. Let a(d) = 2*i(d) + 3*w(d). Let j be a(-4). Is 4/85 less than j?
True
Let v(c) = 110 - 259 + 37*c + 106. Let l be v(8). Is l >= 255?
False
Suppose -4*u = -3*t - 53, 4*u = t + 12 + 11. Is t not equal to 69?
True
Let v(n) = n**3 + 10*n**2 + 22*n - 7. Let y be v(-6). Let c be (-5)/y + -3 - 1*-4. Let b be 1/(-3)*(-44)/(-6). Are c and b nonequal?
True
Let z = -4829525 + 811352995/168. Let d = z - -345/8. Let r = d + 113/231. Is 2 greater than or equal to r?
True
Let r(d) = -d**2 - 95*d - 662. Let v be r(-8). Suppose -3*s + 185 = 2*s. Which is greater: s or v?
s
Let n = 222 - 320. Suppose 191*p + 3618 + 14103 = 12*p. Which is smaller: p or | {
"pile_set_name": "DM Mathematics"
} |
at is the third biggest value in -3, -15.286, -153?
-153
What is the smallest value in 0.05, -1/10, 0.4, 2/9, 69, 23?
-1/10
Which is the third biggest value? (a) -4 (b) 20 (c) -21.3668 (d) 0
a
Which is the second smallest value? (a) 0.5 (b) 362 (c) -3/16 (d) -2/51 (e) -0.2 (f) -3/2 (g) -2/15
e
Which is the second biggest value? (a) -0.584 (b) 1 (c) -0.012
c
Which is the biggest value? (a) -8/5 (b) 1 (c) -1 (d) 0.6 (e) 0.3 (f) -11 (g) 22
g
Which is the smallest value? (a) -0.04587 (b) -6527 (c) -7
b
Which is the biggest value? (a) 1052620/17 (b) 6/11 (c) 1/4
a
What is the fourth smallest value in 24, -0.5, 3/8, 2/321, -1/7, 0.01?
0.01
What is the third smallest value in 9, -129951, 1, 0, 0.5?
0.5
What is the third biggest value in 30, 0, 1022838?
0
What is the smallest value in 4, -0.5, 564259?
-0.5
Which is the third smallest value? (a) -56288 (b) 0.1 (c) -1 (d) 23
b
What is the third biggest value in -180, -7, -0.2, -126?
-126
What is the biggest value in -0.14, 89.1, 1/2, -0.4, -0.06, 0?
89.1
Which is the fourth smallest value? (a) 1/4 (b) -5 (c) -1/2 (d) -17 (e) 7933 (f) -4
c
What is the fourth biggest value in 1/14, 107.6367, 3, -1?
-1
What is the sixth biggest value in 8, 11/18, -0.03, 2, 1, -0.05?
-0.05
Which is the sixth smallest value? (a) 1/3 (b) 0.24861 (c) -1/8 (d) -2 (e) -113 (f) -5/3
a
Which is the second biggest value? (a) -0.9 (b) -5 (c) 1 (d) -3 (e) 1/2 (f) 855
c
What is the sixth biggest value in 170142, -1/9, -2, 5, 3, -4, 2/5?
-2
Which is the third smallest value? (a) -37 (b) 2/57953 (c) -0.49
b
What is the smallest value in -4, 2/7, 4522, 12, -1.3?
-4
Which is the second biggest value? (a) -1241 (b) -5 (c) -2 (d) 1/3 (e) 10 (f) 1
f
Which is the second biggest value? (a) 4 (b) -1/7 (c) -0.01 (d) 2/5 (e) 5/2 (f) -10
e
What is the second biggest value in 1318/409, -7.1, 3?
3
What is the second smallest value in -4/3, -3/10, 4/969, 2, -29?
-4/3
Which is the third biggest value? (a) 0.3 (b) -54 (c) -56 (d) 115
b
Which is the fifth smallest value? (a) -4/9 (b) -0.4 (c) 5 (d) 8/669 (e) 0
c
Which is the fourth biggest value? (a) 2 (b) 560 (c) -5 (d) 5/14 (e) -0.4
e
What is the smallest value in 0.06, -1.5, 5376?
-1.5
Which is the third biggest value? (a) -0.042469 (b) 26 (c) -5
c
Which is the third smallest value? (a) 2782.6 (b) 3/5 (c) -7/177
a
Which is the biggest value? (a) 143597.9 (b) -2.7 (c) -5 (d) 0.1
a
What is the second biggest value in 0.02, -1, -1/2, -6798?
-1/2
What is the fourth biggest value in -6/415, 0, 5134, 0.3?
-6/415
What is the fourth smallest value in -10, -10/2433, 1/4, -1?
1/4
Which is the sixth smallest value? (a) 1/4 (b) -186/7 (c) 4 (d) 0.3 (e) 1 (f) -2109
c
Which is the second biggest value? (a) -3 (b) 0.071 (c) 7 (d) -92 (e) 0.5
e
Which is the third smallest value? (a) 0.3 (b) -3082 (c) 6157/7
c
What is the fourth smallest value in 4, -0.1, 3, -3, -7, -2/215?
-2/215
What is the third smallest value in -1004, 1, -8, 72, -1/3?
-1/3
What is the biggest value in -19/1584, 31, 4/5?
31
What is the third smallest value in -227, -2/573, 20/13?
20/13
What is the biggest value in -6, -3, 115/4, 0.2, -4315?
115/4
What is the second smallest value in -0.5, -0.3, -1/112181?
-0.3
What is the smallest value in -1.28, 13669.2, -0.1, -3/5?
-1.28
What is the third biggest value in 37783, -0.39, 1, 6/5, -0.1, -4, -2/13?
1
Which is the second smallest value? (a) 1110 (b) 1196 (c) -2 (d) 5/6 (e) -0.4
e
What is the third biggest value in -103, 0, -19.52, -7, -2/3?
-7
Which is the sixth biggest value? (a) 4 (b) 0.5 (c) -4/63 (d) -63 (e) -13.2 (f) 3
d
Which is the fourth smallest value? (a) -2/5 (b) 0.02 (c) -1/3 (d) 67 (e) -1/5 (f) -0.1 (g) 5
f
What is the second smallest value in -174654, -1, 2/3, 60?
-1
Which is the second smallest value? (a) 3 (b) 2 (c) -2 (d) 3/5 (e) -5 (f) 4 (g) -821
e
Which is the biggest value? (a) -56056 (b) -4 (c) 12 (d) -0.3 (e) -3/7
c
What is the second smallest value in -0.03, -205, -247, 0.3?
-205
Which is the third smallest value? (a) -4 (b) 3/50 (c) -0.003874
b
Which is the third smallest value? (a) 5.88 (b) 1/4 (c) 1 (d) -1 (e) 0.28 (f) 73 (g) 3/4
e
What is the fourth smallest value in 2/3, -6, -1592, 11, -12, 2?
2/3
What is the fourth smallest value in -6, -1051/10, 2/11, 0.7, 0, 1?
2/11
What is the fifth biggest value in 5, 3/8, -10, -5, 272272?
-10
Which is the third biggest value? (a) -2/3 (b) 2/3 (c) -19 (d) 0.5 (e) -5/68 (f) 1
d
What is the biggest value in 2, 0.16, 76172, 0.06?
76172
What is the fourth smallest value in -2/2781, 163, 6, 0, 2, -1?
2
What is the fourth biggest value in 0.12, 0, -0.5, -27.1, 14?
-0.5
Which is the third smallest value? (a) -207 (b) 13 (c) -3/880
b
Which is the third smallest value? (a) -2 (b) 146985 (c) -2/7 (d) -9.3
c
What is the sixth smallest value in 5, -0.3, 3, -0.07, -0.0427529, 3/7?
5
Which is the second biggest value? (a) -1/5 (b) -51 (c) -5 (d) 2 (e) 1 (f) -2/189
e
What is the third smallest value in -37, 328, 7/4, 5, 1/4?
7/4
What is the sixth biggest value in 3, -0.3, 5/2, 0.4, 2987, -2/135, -3?
-0.3
What is the third biggest value in 14, 100, -764, 0.2, -0.4?
0.2
What is the biggest value in 2, 13, 0.08621, -184, -5, 3?
13
Which is the third smallest value? (a) 0 (b) -30 (c) -3/4 (d) -6 (e) -4 (f) 0.3 (g) 88/23
e
Which is the third biggest value? (a) -44.4 (b) 1/3 (c) -3 (d) -525/46
d
Which is the second biggest value? (a) -3/7 (b) -26 (c) 2/618515 (d) 1
c
What is the third biggest value in 25, -110.0168, -2/19, -2?
-2
Which is the biggest value? (a) 2 (b) -375 (c) -138 (d) -5
a
What is the biggest value in -0.008, 3, -0.2, -48319, -3, -2, -5?
3
What is the smallest value in 3, -2/759519, -0.018?
-0.018
Which is the second biggest value? (a) 0.2 (b) -19.5 (c) -2/3 (d) 5 (e) -0.16 (f) -55
a
What is the second biggest value in 4, 475, 2534?
475
What is the fifth smallest value in 7, 0.1, 4.2, 9.3, -0.5, 28?
9.3
What is the fifth biggest value in 3942/35, 4, -1/3, -8, -1?
-8
Which is the sixth smallest value? (a) -6 (b) -1.02 (c) 3.9 (d) 3 (e) 5 (f) -3 (g) -0.08
c
Which is the biggest value? (a) -38/273 (b) -0.0678 (c) 0.6
c
What is the third biggest value in 1.2, 0, 1, -7, -0.08, -2/157?
0
Which is the fourth smallest value? (a) -2/71 (b) 0 (c) 0.61 (d) -0.1 (e) -25
b
Which is the sixth smallest value? (a) -6/11 (b) -2 (c) 0 (d) -1/2 (e) -1 (f) 878
f
What is the smallest value in 9, -0.4, -2, 0, 5518, 3/7?
-2
Which is the third biggest value? (a) -0.4 (b) 11/2283 (c) 11
a
Which is the biggest value? (a) -5916030 (b) 0 (c) -0.9
b
What is the second biggest value in 0.32, -2/11, -9, -6/19?
-2/11
What is the second smallest value in 0.4, -11/8, 1, 0.23919, 9?
0.23919
What is the fourth biggest value in -0.3, 180/3641, 0, -8?
-8
What is the smallest value in -49, -0.4, 4, 3, -1/96?
-49
What is the biggest value in 741, -0.6, 5, 393, 2?
741
Which is the fifth biggest value? (a) 1/2 (b) -2.6 (c) -44 (d) -32 (e) 0.4 (f) -5 (g) 11
f
What is the third biggest value in -5, -3, -1, 208, -2, -4, -4/29?
-1
What is the second smallest value in -5, -2, -2/5, 57.8, 0.1, 1/4, 0?
-2
Which is the second smallest value? (a) -2 (b) 4 (c) -934 (d) -4 (e) 0.26 (f) 7
d
Which is the fourth biggest value? (a) 4/5 (b) 7040589 (c) -5 (d) 2
c
What is the second biggest value in 12/53, -2, -40, 48, -5, -0.3, -1?
12/53
Which is the fourth biggest value? (a) -5/2 (b) 123 (c) -0.5 (d) 6 (e) -0.3 (f) -1/335
e
What is the third smallest value in -0.14, 3/2, -19, 1368/85?
3/2
Which is the seventh smallest value? (a) -30 (b) 0 (c) -21 (d) -11 (e) -2 (f) -1 (g) 3
g
Which is the third smallest value? (a) -49 (b) 1 (c) -47.7803
b
Which is the fifth smallest value? (a) 0.3 (b) 3 (c) -0.4 (d) 11/2 (e) -0.5 (f) 12/163
b
What is the biggest value in -71/2, -7/5, -1/3, -0.1, 2/11, -2?
2/11
Which is the sixth smallest value? (a) -0.5 (b) -0.2 (c) 18 (d) 0.091 (e) 1/11 (f) 5 (g) -45.1
f
Which is the fourth smallest value? (a) 38 (b) -2/3 (c) -2/9 (d) 2/770771
a
Which is the second smallest value? (a) 0.01 (b) -0.1 (c) -594152
| {
"pile_set_name": "DM Mathematics"
} |
tive of o**8/840 + o**4/8 + 7*o**3/6 - 5*o**2. Let h(z) be the first derivative of v(z). Differentiate h(i) with respect to i.
8*i**3
Let f be -1 + 4 + (-3 - -4). Suppose 4*t - 18 = -t - 2*q, 3*t = -4*q + 22. What is the third derivative of 0*o**4 - t*o**2 - 6*o**4 + 4*o**f + 4*o**4 wrt o?
48*o
Let l = 25 - 21. Find the first derivative of -1 + 7*z**l + 5 - 4*z**4 - 8 wrt z.
12*z**3
Let q(t) be the third derivative of -t**6/15 + 11*t**5/20 + 4*t**2. What is the third derivative of q(k) wrt k?
-48
Let j(b) be the third derivative of -b**4/24 - 13*b**3/6 + 51*b**2. Differentiate j(s) wrt s.
-1
What is the third derivative of -5*a**2 + a**4 - 3*a**4 + 0*a**4 + a**4 wrt a?
-24*a
Let o(x) = -4 + 7*x + 3 + 7. Let p(v) = -v - 1. Let k(q) = -o(q) - 5*p(q). Find the first derivative of k(g) wrt g.
-2
Suppose -5*v + v = -4. Suppose 1 + v = l. Find the second derivative of -3 - j + 3 - j**l wrt j.
-2
Let d be (-6)/(12/4) + 7. Let v(t) = -4*t - 1. Let o be v(-2). Find the second derivative of -3*l + o*l - l + 0*l**d - 2*l**5 wrt l.
-40*l**3
Suppose -2*i + 0*i + 4 = -2*t, 8 = 2*i. Let l be 2/(-10) - 11/(-5). What is the derivative of t*m**2 + l + 4*m - 2*m - 2*m wrt m?
4*m
Let d be (-10)/(-5) + (1 - 1). What is the second derivative of -s**2 + 3*s**3 + 4*s - 3*s**d + 4*s**2 wrt s?
18*s
Let y(h) be the first derivative of 4 + 0*h**4 + 0*h**2 + 2*h**3 + 0*h**5 + 3/7*h**7 + 0*h**6 + 0*h. What is the third derivative of y(d) wrt d?
360*d**3
What is the second derivative of i - 4*i**4 + 8*i**4 - 18*i wrt i?
48*i**2
Let w(x) = 15*x**3 + 3*x**2 - 17. Let c = 22 - 16. Let u(b) = 5*b**3 + b**2 - 6. Let z(i) = c*w(i) - 17*u(i). Find the third derivative of z(f) wrt f.
30
Let f(x) = -5*x. Let t(b) = -b**3 - 5*b. Suppose c - m + 5 + 3 = 0, -13 = 2*c - m. Let v(u) = c*f(u) + 4*t(u). What is the second derivative of v(h) wrt h?
-24*h
Let x(c) = -15*c**4 - c**3 + c**2 - 35*c - 1. Let w(i) = -i**3 + i**2 + i - 1. Let h(u) = -w(u) + x(u). Find the second derivative of h(t) wrt t.
-180*t**2
Find the first derivative of -2 - 1 - 2*j**3 + 11*j**3 + 0*j**3 wrt j.
27*j**2
What is the derivative of -10*v**2 + 10*v**2 - 1 + 6*v**4 wrt v?
24*v**3
Let x(o) = 4*o**4 - 5*o**3 - 5*o**2 - 5*o - 8. Let k(b) = -3*b**4 + 6*b**3 + 6*b**2 + 6*b + 8. Let z(s) = -5*k(s) - 6*x(s). Differentiate z(r) wrt r.
-36*r**3
Suppose 0 + 14 = 5*v - 2*p, 5*p = -10. What is the derivative of 1 + 4*h**2 - 2 + v*h**2 wrt h?
12*h
Let i(h) be the first derivative of -2*h**3 - 2*h**2 + 6. Find the second derivative of i(n) wrt n.
-12
Let x(h) = -3*h + 1. Suppose -2*s = -0*s + 2. Let j be x(s). What is the second derivative of -z**4 + 7*z - 4*z - 2*z**j wrt z?
-36*z**2
Let q(u) be the first derivative of -3 - 1/2*u**2 + 0*u + 0*u**3 + 3/5*u**5 + 0*u**4. Find the second derivative of q(x) wrt x.
36*x**2
Let i = 4 + -8. Let d(o) = o**3 + 5*o**2 + 4*o + 5. Let u be d(i). Find the second derivative of 8*g + u*g**4 - 3*g**4 - 5*g wrt g.
24*g**2
Let q(r) = -r**2 + r - 1. Let s(d) = 5*d**3 - 5*d**2 + 11*d - 5. Let x(c) = -15*q(c) + 3*s(c). What is the second derivative of x(n) wrt n?
90*n
Let a(l) be the second derivative of -l**9/3024 - l**6/240 - l**4/2 - 4*l. Let r(i) be the third derivative of a(i). Find the second derivative of r(g) wrt g.
-60*g**2
Suppose -y = -u - 5, -y = -4*u + u - 25. Let v = -5 - u. What is the second derivative of -f**v + 2*f - f**5 - 4*f wrt f?
-40*f**3
What is the second derivative of -17*u**2 - 13*u - 4*u - 5*u**2 + 8*u wrt u?
-44
Let s = -5 - -9. What is the first derivative of 1 + 2 - 7 + s*t**4 wrt t?
16*t**3
Let b(y) = 3*y**3 + 6*y**2 - 17*y + 6. Let x(i) = 4*i**3 + 5*i**2 - 18*i + 5. Let a(j) = -5*b(j) + 6*x(j). Find the second derivative of a(v) wrt v.
54*v
Differentiate 25*t**4 + 15*t**4 - 32 + 36 wrt t.
160*t**3
What is the third derivative of 0*k - 785*k**3 + 3*k - 2*k**4 + 11*k**2 + 767*k**3 wrt k?
-48*k - 108
Let j(i) be the second derivative of 13*i**5/20 - i**4/4 - 7*i. Find the third derivative of j(w) wrt w.
78
Let t(u) be the third derivative of -u**6/2 - 31*u**3/6 + 34*u**2. Differentiate t(m) wrt m.
-180*m**2
Let p(k) be the third derivative of -3*k**2 - 1/2*k**3 + 1/60*k**5 + 0*k + 0*k**4 + 0. Differentiate p(b) with respect to b.
2*b
Let s(w) = w - 4. Let f be s(6). Suppose 5*r = f + 8. What is the third derivative of z**r + 2*z**3 - z**2 + 3*z**2 wrt z?
12
Suppose 3*l - 4*l - 5*m = -25, 0 = 3*m + 3. Let y be l/18 + 2/6. Find the third derivative of 15 + o**y - 15 + 2*o**5 wrt o.
120*o**2
Let k = 145 - 141. Suppose 4*y - 3*y = j, 2*j - y - 5 = 0. Find the third derivative of -2*a**2 - k*a**6 - 67*a**5 + 67*a**j wrt a.
-480*a**3
Let n(h) = -2*h**3 + 2*h - 2. Let z(x) = -x + 1. Let c(t) = n(t) + 8*z(t). Let a(u) be the first derivative of c(u). Find the first derivative of a(g) wrt g.
-12*g
Let z(s) be the first derivative of s**3/3 + 7*s - 7. Find the first derivative of z(q) wrt q.
2*q
Let t(m) be the first derivative of 18*m**5/5 + 8*m**3/3 + 2. What is the third derivative of t(p) wrt p?
432*p
Let w(p) = p**5 + p**4 - p**2 - p - 1. Let l(k) = -11*k**5 - 5*k**4 - k**2 + 5*k + 5. Let z(c) = 2*l(c) + 10*w(c). Find the third derivative of z(j) wrt j.
-720*j**2
Differentiate 7 - 6*s**2 - 3 + 0 - 2*s**2 wrt s.
-16*s
Let d(h) = 6*h**3 - h**2 - 3. Let j(q) = q**3 - q**2 + 1. Let o(b) = -d(b) + j(b). What is the first derivative of o(s) wrt s?
-15*s**2
Let s(w) be the first derivative of 1/2*w**6 + 0*w**4 + 0*w + 1/2*w**2 + 0*w**5 + 0*w**3 - 3. What is the second derivative of s(v) wrt v?
60*v**3
Suppose -l - 5*i = -18, 2*i + 3*i - 15 = 0. What is the second derivative of -l*v - 6*v**2 + 3*v**2 - 2*v**2 wrt v?
-10
Let b(q) be the second derivative of 0*q**5 - 1/10*q**6 + 0*q**2 + 0 - 1/3*q**3 - 5*q + 0*q**4. Find the second derivative of b(a) wrt a.
-36*a**2
Let m(v) be the first derivative of -1 - 1/12*v**4 + 0*v**3 - 3*v + v**2. Let o(t) be the first derivative of m(t). What is the derivative of o(w) wrt w?
-2*w
Let i(c) = 0 + 2 - 3 - c**2 + 5*c. Let x be i(4). Find the second derivative of x*l - l - l - 2*l**5 wrt l.
-40*l**3
Differentiate -5 + 1 + 2 + 2*q**2 wrt q.
4*q
Let a(v) be the second derivative of -11*v**5/20 + 19*v**3/3 + 32*v. What is the second derivative of a(p) wrt p?
-66*p
Let y(h) be the second derivative of -h**8/1120 - h**7/1260 + 3*h**4/4 + 5*h. Let p(m) be the third derivative of y(m). Find the third derivative of p(i) wrt i.
-36
Let o(k) = -k**3 + 6*k**2 + 14*k + 5. Let l(j) = 2*j**3 - 12*j**2 - 30*j - 9. Let x(n) = -3*l(n) - 5*o(n). What is the second derivative of x(q) wrt q?
-6*q + 12
Let j(x) = 14*x + 27. Let u(y) = -7*y - 13. Let m(w) = 6*j(w) + 13*u(w). What is the derivative of m(i) wrt i?
-7
Differentiate 7 + 2*z**4 - 21*z**4 + 4 wrt z.
-76*z**3
Find the first derivative of -b + 4*b + 29 - 521*b**2 + 520*b**2 wrt b.
-2*b + 3
Find the first derivative of -94*r**4 - 6 + 20 + 49*r**4 + 49*r**4 wrt r.
16*r**3
Suppose 2*o = -2*o. Let s = o + 2. What is the first derivative of 0*w**s - 2 + 3 - w**2 wrt w?
-2*w
Let i(o) = 41*o**2 + 27. Let q(x) = 82*x**2 + 54. Let a(g) = -9*i(g) + 4*q(g). Differentiate a(j) with respect to j.
-82*j
What is the first derivative of -2*g**3 + 7 + 2 - 13 wrt g?
-6*g**2
Suppose 0 = -3*r - f + 12, 5*r = -4*f + 27. Suppose 2*m + 5*i = -2*m + 22, m + 5*i - 13 = 0. Find the second derivative of -h + 2*h**m - 3*h**r - h wrt h.
-6*h
Let f(s) = 35*s**3 - 3*s**2 + 18*s + 3. Let a(u) = -34*u**3 + 4*u**2 - 18*u - 4. Let k(o) = -3*a(o) - 4*f(o). Find the second derivative of k(n) wrt n.
-228*n
Suppose -5*d + 9 = -3*b - 7, -2*d = -3*b - 1. Let y(v) = -v - 1. Let t be y(-3). What is the second derivative of -t*p**d + p + 2 - 2 wrt p?
-40*p**3
What is the second derivative of -t + 2*t**3 + 0*t**3 - t**3 - 29 wrt t?
6*t
Let x = 9 + -9. What is the third derivative of x*o**3 + 3*o**2 - 4*o**2 - 4*o**6 + 0*o**3 wrt o?
-480*o**3
What is the first derivative of -7 + 20*o - 11 + 19 wrt o?
20
Let z be (-5)/((-1 + 0)/1). Find the second derivative of -f + 5*f**z + 5 - 3*f**5 - 5 wrt f.
40*f**3
Let w(s) = -20*s**2 + 18*s + 3. Let b(o) = 39*o**2 - 36*o - 5. Let f(z) = 3*b(z) + 5*w(z). What is the second derivative of f(l) wrt l?
34
What is the first derivative of 6*v**3 + 15*v**3 - 7*v**3 - 8 wrt v?
42*v**2
What is the second derivative of 0 | {
"pile_set_name": "DM Mathematics"
} |
mber?
True
Let p(u) = -7*u**2 + 2*u + 29. Let c be p(15). Let b = 2739 + c. Is b prime?
True
Let v = -28303 - -43244. Is v a prime number?
False
Let r(w) = 366*w**2 + 503*w - 100. Is r(-27) a composite number?
False
Let m = -210 - -201. Is 769/(-8)*(m - -1) composite?
False
Let h(r) = -27*r**3 + 3 - 7 + 4*r**2 - 14*r**3 + 6. Let j(c) = 124*c**3 - 11*c**2 - 5. Let k(l) = -11*h(l) - 4*j(l). Is k(-2) prime?
False
Suppose 2*g - w = 84, -w + 3*w - 140 = -3*g. Let b be 8/g - 4/22. Suppose 16168 = 4*m + 4*t, 3*m + 5*t - 12120 = -b*m. Is m a prime number?
False
Suppose 0 = -14*d + 12*d + 8568. Let z = d - 793. Is z composite?
False
Let v = 98509 + -21930. Is v composite?
False
Let m = 9 + -3. Suppose -4*z = -2*c + 8512, 2*z + m = 4*z. Suppose -5*g + c = 667. Is g a prime number?
True
Suppose 0*h - 5*h = -3*y - 125971, 0 = -4*h + 20. Is (-2*1)/(0 - (-12)/y) composite?
False
Is (-4 + 950896/(-40))*4/(32/(-20)) composite?
False
Let s = -4104 + 7103. Is s a prime number?
True
Let u = 4 + -14. Let a be u/(-35) + (-4708)/14. Let s = 1817 - a. Is s a composite number?
False
Let z(t) = -6*t + 227. Let r be z(37). Is (20/(-5) + 3)*r - -454 prime?
True
Let v be 111*(-8 + 40/(-3)). Let z = 5642 + v. Is z a prime number?
False
Let k be (-8)/(-12)*3/2. Let a = k - -2. Suppose 0*s + s + 5*g = 1419, 0 = -5*s + a*g + 6983. Is s prime?
True
Let r(j) = -166*j**3 - 407*j**3 + 3 + 223*j**3 + j. Let z be r(-3). Suppose x - b = -2*x + 5668, 5*x - z = b. Is x a composite number?
True
Suppose -3*r + 4*j = 12 - 30, r - 4*j = 14. Let c(s) = 60*s**2 + 13 + 18 + 23*s - 58*s**r. Is c(-24) a prime number?
True
Let y(v) = 10951*v - 701. Is y(10) a prime number?
False
Suppose 0 = -7*u + 18 + 17. Is u/((-2)/(-428)*2) composite?
True
Suppose p = -5*s + 20, 3*p - 5*s = 6*p - 20. Suppose p = -2*w + 7 - 3. Suppose w*a = 5*n - 1117, -5*n - a = 4*a - 1110. Is n prime?
True
Let t = -1871 + 1642. Let d(b) = 133*b + 4. Let l be d(4). Let m = t + l. Is m a composite number?
False
Let o = -749 + 1895. Let c = 1427 + o. Suppose -9*q + c = -1198. Is q composite?
False
Suppose -3*s - 14 = -5*n + 4, -2*s - 2 = 0. Suppose -d + n*d = 656. Suppose -1222 = -10*m + d. Is m a composite number?
True
Let y(f) = -86*f**2 - 39*f + 68. Let h be y(-38). Is (h/(-12) + -4)/((-2)/(-4)) a composite number?
False
Let v(o) = 30*o**2 + 18*o**2 - 8*o - 18 - 44*o**2 + 11*o**2. Suppose -a + 13 = -3*d, -2*d - a - 9 = -2*a. Is v(d) prime?
False
Suppose -2*g + 18988 = 3*b - 31863, 2*g - 3*b - 50857 = 0. Let p = -15754 + g. Is p prime?
False
Let a be (-101372)/(-13) - (4 + (-108)/26). Let u = 14538 - a. Suppose 0 = 4*y - q - u, -2*y + 6740 = 2*y + 4*q. Is y a prime number?
False
Suppose -3*l = -31497 - 6722 - 121678. Is l prime?
True
Suppose 0 = 4*r - 54 - 2. Let a(j) = 180*j - 41. Is a(r) a composite number?
True
Let b(c) = 1387*c + 3831. Is b(38) prime?
False
Let n be (-9)/21 + 96/28. Let z be (-534481)/177 - ((-4)/n)/2. Let c = z - -5454. Is c a prime number?
False
Suppose 13230 = 323*j - 317*j. Suppose 293 = f - 5*m - j, 2504 = f + m. Is f a prime number?
True
Suppose 43*w = 22*w + 2794113. Is w a prime number?
False
Suppose -22*z + 166693 = -236391. Suppose -40*y - 3482 = -z. Is y prime?
False
Let g = -77 + 110. Suppose -14*y - 394649 = -g*y. Is y prime?
True
Suppose 36 = i - 36. Let t = 75 - i. Suppose -g + 5 = 0, p + t*g - 26 = 146. Is p prime?
True
Let k = 68557 - -281040. Is k a composite number?
True
Suppose 17*w - 5*w - 36 = 0. Suppose 4*y - 78180 = -4*r, w*y + 5*r = 4*r + 58627. Is y a prime number?
True
Suppose 0 = 5*p + h - 9 - 1, 0 = 5*p - 4*h - 10. Suppose p*z = -c + 793, 3*c - 2*z = 2*z + 2349. Is c a composite number?
False
Let c(k) = 4770*k**2 + 171*k + 977. Is c(-6) prime?
True
Let b be (-6)/(-14) + 170/(-70). Let x be b/(4 + (-11)/3). Is (-12318)/(-48) - x/16 a prime number?
True
Let h be 1/12 + 247070/120. Let t = 3500 - h. Is t composite?
True
Suppose -16202 = -4*t + 3*n, 44*n - 46*n - 4 = 0. Is t prime?
True
Let x = 969964 - 249207. Is x a composite number?
True
Let k be (-4)/(-2)*(-7)/(-2). Let y(i) be the third derivative of i**6/30 + 11*i**5/60 - i**4/4 - 3*i**3 - i**2 - 1591*i. Is y(k) a prime number?
False
Let c be (-1 + 3)/(-2) + 1/(-1). Is 10379/5 + c - (-4)/(-5) a composite number?
True
Let t be (2 + 6/(-9))/(112/420). Suppose t*a + 3*v = 43327, 7*a = 3*a + 4*v + 34636. Is a a composite number?
False
Suppose 29*j + 380954 = -6*j + 13470429. Is j a prime number?
False
Let i = 498 + -495. Suppose 0*r = i*t - 3*r - 6705, r = 2. Is t a prime number?
True
Let l(r) be the first derivative of r**4/4 - 8*r**3/3 - 15*r**2/2 + 25*r + 2. Let j = 457 + -446. Is l(j) a composite number?
False
Suppose -18 = -5*u + 7. Let r(b) = 4459*b**3 + 8*b - 7. Let a be r(1). Suppose -2*v = 4*d + v - 3547, a = 5*d - u*v. Is d composite?
True
Is (-131 - -117) + 1 + 29730 a prime number?
True
Let o = -4814 + 17037. Is o a composite number?
True
Suppose 5*g - 81 + 6 = 0. Let t(k) = k**3 - 4*k**2 - 3*k + 18. Let a be t(g). Suppose -5*l = 20, -2*i + l + a = 2*i. Is i composite?
True
Let v(i) = 7*i**3 + 26*i**2 - 79*i + 1413. Is v(28) a composite number?
False
Let k(r) = -3*r + 11*r**2 + r + 7 + 0*r - r**2. Suppose 18 = -3*q - 0*q. Is k(q) a composite number?
False
Suppose 65*u - 1148542 = 1576566 + 4587847. Is u a prime number?
True
Let z = 142862 - 36587. Is 2 + z/169 + (-2)/(-13) prime?
True
Let z(t) = 3*t**2 - 122*t - 1619. Is z(100) a composite number?
True
Let n be 15/(-1 - 2)*188/(-20). Let k be (5625/27)/5*n*3. Suppose -j = -3*x + 3729, 0 = -4*x - 2*j - 903 + k. Is x composite?
True
Suppose -8*w = 67184 - 282648. Is w a composite number?
True
Suppose u = r - 40462 - 156978, -4*u = 4*r - 789768. Is r a prime number?
True
Let o(u) = -2*u**2 - 14*u + 2. Let p be o(-7). Let l(g) = g**3 + 21 - g + 16*g - 36*g**2 + 64*g**p. Is l(-11) a prime number?
True
Let m(n) = 2*n**2 + 19*n + 35. Let d be m(-7). Is (-13)/26*(-4102 + d) composite?
True
Let m = -405306 + 705677. Is m prime?
False
Is (-1)/((-1425606)/356398 - -4) composite?
False
Let g be (1 + 5)/((-9)/(-6)). Suppose -3*n + 13046 = 4*r, -2*n + 8938 + 4106 = 4*r. Suppose 0*z - g*z = -r. Is z a prime number?
False
Suppose -4*k - k = 0, -2*w = 2*k + 1910. Suppose 7*l - 6130 - 4608 + 700 = 0. Let n = l + w. Is n a prime number?
True
Let l(r) = -8816*r - 183. Is l(-4) prime?
True
Suppose -4*o = 3*s - 606827, 2*s + 303396 = -0*o + 2*o. Is o composite?
False
Suppose 5*u - 7151 = 3*v, 4*v + v + 11965 = -u. Let x = 578 + v. Is x/4*(-3 + 1) a composite number?
False
Let n be 1173/207*(-1602)/(-2). Suppose 4*d + 5*o = -n + 46448, 4*o - 10491 = -d. Is d a prime number?
False
Suppose z - 65 = -14. Let y be -5119*(1/2)/(14/(-28)). Is (-17)/z - y/(-3)*1 prime?
False
Let y(q) = 3*q**2 + 71*q + 187. Suppose -6*a + 17 - 293 = 0. Is y(a) composite?
True
Suppose -1526773 = -4*j - 32*j + 59776871. Is j a prime number?
True
Let t be (2/(5 - 9))/(1/(-24)). Let f be 2125 - ((-2)/(-3) + t/(-18)). Let a = f - 1224. Is a composite?
True
Let j = 98 + -91. Suppose j*a - 42 = a. Suppose -a*y - 1828 = -7967. Is y composite?
False
Suppose 6*x - 2*x + 2*q = 48, 2*q = 0. Let j(s) = 2*s**3 - 7*s**2 - 13*s + 9. Let k be j(8). Suppose -x*m = m - k. Is m a prime number?
True
Suppose -5004407 = 40*i - 60121327. Is i a prime number?
True
Let q = 293 - 116. Let n(x) = -q*x + 6 - 6 + 2 + 0. Is n(-5) composite?
False
Let b(h) = -203576*h + 1659. Is b(-4) a composite number?
False
Let x = 164 - 151. Suppose 6*h - 5 = x. Suppose -2698 = -h*d + 5*q + 622, -2*d = 2*q - 2240. Is d composite?
True
Suppose 18*j - 1068151 = -32377. Is j prime?
False
Let l = 169 + -69. Let q be l/(-8)*3/((-30)/(-8)). Is ((-4)/6)/(q/1905)*1 a prime number?
True
Suppose 0 = 3*u + 2 - 17. Suppose 0 = 7*b - 5 + u. Is 6/(-9) - (5194/(-6) + b) composite?
True
Let v(p) = 1472*p**2 + 2*p. Let a be v(1). Suppose 2*i - 749 = -q, 0*q + 4*i + a = 2*q. Is q prime?
True
Let m be -1 - (-1)/(2 - 3/3). Let q be (1 - 4/(-2))*(1 - m). Suppose 7*t - 243 = -v + 2*t, 0 = 3*v - q*t - 765. Is v prime?
False
Let c be ((-48)/(-10))/(213/33370). Suppose -18*u + 22*u = -o + 1494, -3*o + c = 2*u. Is u composite?
False
Let f(a) = 151*a**2 + 14*a - 229. Is f(-48) prime?
True
Suppose 0 = -158*a + 254*a - 24187515 - 24805797. Is a composite?
True
Let n(u) = -u**3 + | {
"pile_set_name": "DM Mathematics"
} |
Is v a prime number?
True
Let b(h) = h**2 - 4. Let n be b(3). Let v = 94 - n. Is v a composite number?
False
Suppose 5*c - 1523 = 1542. Is c prime?
True
Let k(c) = -c + 7. Let a be k(4). Suppose -5*l - 3*p + 818 = 0, 1 + 2 = a*p. Is l composite?
False
Let y(n) be the first derivative of -8*n**2 + 13*n - 2. Is y(-9) prime?
True
Suppose 463 + 72 = a. Is a a prime number?
False
Suppose -2*n = -n. Suppose -d + 163 = -4*u, -4*d + 652 = -n*d - 5*u. Suppose -3 = -s, -2*f + 2*s - 7*s + d = 0. Is f prime?
False
Suppose v + 0*v = 28. Suppose 2*r - k = 165, 3*r - 5*k = v + 216. Suppose 0 = -2*g + r + 155. Is g prime?
False
Let o = 65 - 120. Is (o/10)/(1/(-22)) a composite number?
True
Let u = 14 + -2. Suppose -5*x - 3*h = 1, -3*x - 2*h - 4 = 2*x. Let k = x + u. Is k composite?
True
Let j be (4/4)/(1/(-69)). Let w = -6 - 14. Let c = w - j. Is c prime?
False
Let r = 126 - 70. Let i = r + -3. Is i composite?
False
Suppose -5*k + 0*z + 8595 = -2*z, 3*k = z + 5156. Is k a prime number?
False
Suppose u + 30 = 4*u. Let b = 8 + -4. Suppose b + u = s. Is s a prime number?
False
Is 6/10 + ((-1124)/(-10))/1 a prime number?
True
Let v = 209 + 82. Is v a prime number?
False
Let z(b) = -15*b - 1. Let s be z(-1). Suppose -d + 99 = -s. Is d a prime number?
True
Let o be ((-4)/(-2))/(1 - -1). Let s(t) = 2*t**2 + 4*t**2 - t**2 + t. Is s(o) composite?
True
Suppose -2*g = 0, 5*g + 8 = 4*r - 0*r. Suppose -4*z - 112 = -4*q, 4*q + 4*z = 3*q + 33. Suppose r*m + j = q, 67 = 5*m - 0*j - 3*j. Is m prime?
False
Let c = -13 + 7. Is (-3)/6 + (-465)/c composite?
True
Let l be (-2 - -2)/(-2 + -1). Suppose 2*g + 12 - 86 = l. Is g prime?
True
Let t(m) = -29*m. Suppose 0 = -6*y + y - 25. Is t(y) a composite number?
True
Suppose 3*k + 0*k = 1179. Is k a prime number?
False
Suppose -3*f + 6 = -f. Let k be 33/4 + (-1)/4. Suppose 0 = f*r - k*r + 395. Is r composite?
False
Let p(w) = 2*w**2 - 6*w + 7. Let j(v) = 3*v**2 - 6*v + 7. Let x(y) = -3*j(y) + 4*p(y). Is x(-6) a prime number?
True
Suppose 2*y + 3*a = 1328, -a - a = 4. Is y composite?
True
Let f(m) = 2*m - 20*m**2 + 110*m**3 + 18*m**2 - m. Is f(1) prime?
True
Suppose 0 = -4*l + 2*l + 8. Suppose -l*a + 145 = z, 5*z - a - 248 = 540. Is z composite?
False
Let f = 12 + -8. Suppose f*g + 0*g - 784 = 0. Suppose -2*s = 2*s - g. Is s a composite number?
True
Let a = 5254 + -2919. Suppose 5*q = -0*q + a. Is q prime?
True
Suppose 0*x + 12 = 3*x. Let a be 3 + x*-3 - -2. Let b(p) = p**3 + 8*p**2 + 2*p + 2. Is b(a) prime?
True
Let c be ((-6)/(-2))/(3/3). Suppose 0 = -2*m + 4*j - 88, c*j = -4*m - j - 140. Let o = -25 - m. Is o prime?
True
Let v = 5893 + -962. Is v a prime number?
True
Let i(y) = y**3 - 7*y**2 + y + 1. Let v be i(6). Suppose -2*f + 10 = -t, 3*f + 0*f + 11 = -5*t. Is f*(v/(-3) + -1) composite?
True
Let y(z) = -2*z**2 + 9*z - 8. Let l(d) = d - 1. Let b(u) = 6*l(u) - y(u). Let p be b(2). Suppose p*a + a = 10. Is a a composite number?
False
Let w(z) = 528*z - 27. Is w(7) a prime number?
False
Let a = 7 + 8. Let x(o) = -o**3 + 15*o**2 + 4*o - 3. Is x(a) prime?
False
Suppose -5*a = -5, -5*a + 0 + 258 = d. Is d prime?
False
Suppose c = 3*c - 200. Let z be (-2953)/(-13) - (-6)/(-39). Let p = z - c. Is p prime?
True
Let u(x) = -x**2 - 7*x - 5. Let q be u(-5). Suppose 171 = -q*b + 766. Is b composite?
True
Let l(c) = 2*c - 4. Let i be l(3). Suppose 4 = -4*g, -i*o - 5*g + 175 = o. Suppose -3*h = -3*t + 2*h + o, 4*h + 72 = 4*t. Is t a composite number?
True
Let n = -565 - -1106. Is n a composite number?
False
Suppose -5*m + 18 = -177. Is m composite?
True
Suppose 10 = -4*y - 10. Let t(b) = -b**3 - 6*b**2 - 6*b - 1. Is t(y) prime?
False
Suppose 2*b + 3*b = i + 3388, -2*i + 671 = b. Is b a prime number?
True
Let i(r) = -46*r. Let v(j) = 31*j. Let q(y) = 5*i(y) + 7*v(y). Let l = 1 + -3. Is q(l) a prime number?
False
Suppose -3*o = 2*p - 1059, -3*o + 750 = -4*p - 309. Is o a composite number?
False
Suppose -3*p + 4*s + 10829 = 0, -4*p = -3*p - s - 3609. Is p prime?
True
Suppose 4*y - 13 = 3*x, y + 2*x - 8 = -2. Suppose -j + 77 = -y*a, 7*j - 351 = 2*j + 3*a. Is j a composite number?
True
Let a(n) = -54*n. Let b be a(-3). Suppose -5*k + 422 = b. Is k/(2*(0 - -1)) composite?
True
Suppose -g + 5*g - 5*o - 18 = 0, 2 = -o. Let p(u) = 77*u**2 - u + 1. Is p(g) composite?
False
Let h = 57 + -27. Suppose 5*l = 3*o + h, 4*o = l - 18 - 5. Let w = o + 20. Is w composite?
True
Let u = 86 - 60. Is u a prime number?
False
Let f = 13 - 19. Let c be 20/6 + (-4)/f. Is (-2 - 0)*(-190)/c prime?
False
Suppose -l + 0*r + 4*r = -203, 418 = 2*l - 2*r. Is l a prime number?
True
Let n(d) = -81*d + 35. Is n(-8) a prime number?
True
Let f(a) = -a**3 - a - 1. Let r be f(-2). Let l be 1/(-3) - (-3)/r. Is (-1 + l)/((-2)/74) a prime number?
True
Let l = 0 + 257. Is l composite?
False
Let j be (-3 + 4)*22/2. Suppose 2 = -g + j. Is g prime?
False
Suppose -5*j = t - 260, 2*t = 2*j - 152 + 36. Is j a prime number?
True
Suppose 829 = 4*g + 5*y, -2*g - 835 = -6*g - 3*y. Is g a prime number?
True
Let r = -677 + 1176. Is r a prime number?
True
Suppose 5*a + 3*v + 8 + 21 = 0, -a = -5*v + 17. Is 1 + a/(14/(-36)) a composite number?
False
Let s be (-2 - -4)*1/(-1). Suppose -8 = -i - r, -r + 2 = -2*i + 12. Is s/(-4) + 531/i composite?
False
Let m(b) = 16*b**2 - 9*b - 14. Is m(-5) composite?
False
Let w(m) = -m**3 - 5*m**2 + 4*m - 8. Let f be w(-6). Suppose -2*y = -2*q + 286, -f*y - y + 4*q = 711. Let k = -26 - y. Is k a prime number?
True
Let r = -21 - -34. Suppose -3*x + 5*u = -x + 16, x = 5*u - r. Is (127 - -2) + 6/x a composite number?
False
Let k(g) = 3 - 2 - 1 + 287*g**2. Is k(1) a prime number?
False
Suppose b - 3*j - 6 = 0, 7*j = 4*j + 15. Let x = 26 + b. Is x a composite number?
False
Suppose -5*d = -2*d, 5*b + 3*d = -800. Let o = -107 - b. Suppose -f = -0*f - o. Is f prime?
True
Let r = 12 - 7. Suppose -2*i - 165 = -r*i. Is i composite?
True
Suppose 0*o + 4*o = 0. Suppose o = 2*k + k - 75. Let j = k - 12. Is j composite?
False
Suppose 1126 = y + 5*g, 4*g + 9459 - 3742 = 5*y. Is y a prime number?
False
Suppose 169 = b - 9. Is b composite?
True
Suppose -5*f - 201 = -g, -3*g + 958 - 279 = 4*f. Is g prime?
False
Let a(u) = 4*u**2 + 12*u - 3. Let h(k) = 3*k**2 + 11*k - 2. Let p(c) = 5*a(c) - 6*h(c). Is p(-4) composite?
False
Let l = -18 - -9. Let q be 0/((-6)/l*-3). Suppose -392 = -5*f + 2*m + 233, q = 2*f + 5*m - 279. Is f a composite number?
False
Let g(v) = v**3 - 10*v**2 + 8*v + 11. Is g(9) composite?
False
Let i(m) be the first derivative of -m**6/60 - m**5/60 + m**4/8 + m**3/6 - m**2/2 - 2. Let v(u) be the second derivative of i(u). Is v(-3) composite?
False
Suppose 4*x + 20 = 0, -2*k + 3 = 2*k + 5*x. Suppose -k*q + 159 = -4*q. Is q a prime number?
True
Let f = 7 + -5. Is (f/(-3))/(12/(-5526)) composite?
False
Let i(k) = 9*k**2 - 21*k + 13. Is i(9) a prime number?
False
Let y = 11832 + -7051. Is y prime?
False
Let y(w) = -w**2 + 3*w. Let p be y(2). Let n be 17*(-2 + p*3). Let d = n + -35. Is d a composite number?
True
Suppose m + 4*s = 5, -5*s + 29 = -5*m + 4. Is (15/(-10))/(m/466) a composite number?
False
Is 2 + (56 - 3)/1 - 0 prime?
False
Let k(o) = 2*o**2 + 8*o - 9. Let m(a) = a**2 + a - 1. Let b(r) = -k(r) + 6*m(r). Is b(-7) a composite number?
True
Let m be 4*(-2)/(-8)*251. Suppose -3*w + m = 74. Is w a composite number?
False
Let a(m) = 13*m - 9. Let r(h) = 12*h - 10. Let j(v) = -3*a(v) + 2*r(v). Is j(-8) a prime number?
True
Suppose -s + c = -2*s + 9, 0 = -5*s + 4*c. Let n = s + 0. Suppose n*t - 2*m - 17 = -3, -2*t + 3*m = 3. Is t composite?
True
Suppose 5*x - a - 18 = -4*a, x - 5 = -2*a. Suppose -2 - x = -w. Suppose w*y - 140 = -3*g, -2*y - 290 = -5*g + y. Is g prime?
False
Let g = 16 - -33. Is g a prime number?
False
Suppose 3*l - 35 = 2*l. Is l prime?
False
Suppose -18 = -4*z - 3*s, 0 = -2*z - 2*z + 2*s + 8. Suppose -44 = -z*x + d, -2*x - 3*d + 6 = d. Is x a composite number?
False
Let y = -4 + 6. Is (-1)/y - 95/(-2) a prime number?
True
Suppose -5*w = -398 - 142. Let l = 185 - w. Is l a prime number?
False
Suppose 11576 = 17*l + 322. Is l prime?
False
Suppose 3*t - 2*t = 6. Let z(h) = h**3 + h**2 + h + 1. Is z(t) prime?
False
Let o(b) = 192*b**2 - b - 2. Suppose 0*x + x + 1 = 0. Is o(x) prime?
True
Suppose 1232 = 5*h - 258. Is h a composite number?
True
Let c(h) = -h* | {
"pile_set_name": "DM Mathematics"
} |
. Let p be f(-7). Suppose 2*s + 0 - d = -5*k, -5*k = p. Solve 5*m - o = 4*o, -s = 3*m - 4*o for m.
1
Let q(v) be the second derivative of -v**5/20 + v**4/2 + 5*v**2/2 + 4*v. Let z = 15 + -9. Let b be q(z). Solve 3*j + 7 = -2*o + o, -41 = -b*o + 4*j for o.
5
Let c be (8/5)/(3/(-15)). Let q = -1 - c. Let g be (0 - 0)*(-6 + q). Solve -3*f + 5*z + 13 = g, -5*f + 2 = -z - 5 for f.
1
Suppose 0 = -2*z + 4*n + 18, z + 5*n = 3*z - 20. Let r be -6*(40/(-12))/z. Solve -r*q + 17 = o + 2, 15 = 2*q - o for q.
5
Let a = 7 + -12. Let p = a + 24. Let v(m) = 5*m**2 - 29*m. Let x be v(6). Solve 0 = 5*y - 2*b - p, -y - 5 = -2*b + x*b for y.
3
Let h = 0 - -4. Solve -o = 4*o + g + 11, -3*o + 2*g - h = 0 for o.
-2
Let g be 27/5 + -5 + 36/10. Solve -2*c = -v + 6, -2*c + 36 = -g*v - 6*c for v.
-4
Suppose 2*l - 4 = l. Let a be -1 + (l - (-3)/(-1)). Solve 3*h + 2*z + 1 = a, -4*h + 2*z - 3*z = 8 for h.
-3
Let j(h) = h**2 - 4*h - 7. Let z be j(6). Suppose 2*s - 53 = -z*a, -4*a - a + 59 = -4*s. Let r = a - 0. Solve f + i - r + 3 = 0, 4*i + 13 = 5*f for f.
5
Suppose 4 = -4*g - 8. Let q = g + 7. Let t = q - 4. Solve 0 = 4*w + p - 16, t*w + 5*p = -2*w + 26 for w.
3
Suppose -4*h = 4 - 16. Suppose 17 = p + 1. Suppose n = -h*n + p. Solve -5 = -5*g + j, 5*g = g - j + n for g.
1
Let q = 44 + -13. Let v = q + -18. Suppose -v = -3*k - 1. Solve k*g + 5*s = 10, -3*g + 6 = 2*g + 3*s for g.
0
Suppose 5 = 6*s - 19. Suppose -5*b = 2*w + 20, -5*w + b = 2*b + 4. Let j(r) = -r**2 - r + 2. Let d be j(w). Solve 0 = d*z + p + 6, z - s*p + 31 = -2*z for z.
-5
Suppose 5*n - 14 - 51 = 0. Let d = -9 + n. Solve -2*w + 28 = 4*o, 17 = -w + 5*o - d for w.
4
Let w be 2/(1/((-4)/(-2))). Suppose 3*i = -4*x + 3, -4*i - x = 3*x - 4. Let b be i/(4/8) + -1. Solve w*l + 5*j = 4 - 1, b = -j for l.
2
Suppose 4*u - 3*u = -u. Solve -5*m - y + 28 = u, -2*m + 6*y = 4*y - 4 for m.
5
Let x be (-6)/(-4) - 7/14. Solve -3*n + x = -7*n + p, -2*n - 2*p + 2 = 0 for n.
0
Let u(j) = -j**3 + 8*j**2 - 8*j + 9. Let c be u(7). Solve 5*s - 4 = 2*s + r, -c*s + 3*r - 9 = 0 for s.
3
Suppose 5*o - 5 = 4*o. Suppose n - r + 1 = -4*r, o*r = -10. Solve 2*k = -x + 1, -5*k + k + x = -n for k.
1
Suppose -f = -0*f + 14. Let i = 18 + f. Solve -3*t = -4*p - 16, 2*p = i*t - p - 12 for t.
0
Suppose 2*n - 9 = -3. Suppose -3*g + 4*t - 6 = -0*g, -1 = -5*g + n*t. Solve g*f = 2, 4*l - l + f + 11 = 0 for l.
-4
Let h(i) = -2*i**3 + i**2 + i + 1. Let m be h(-1). Suppose -m*j = j. Let f(n) = 4*n - 6. Let a be f(2). Solve b - 4 = c - j*c, -a = 3*c + 2*b for c.
-2
Suppose 5*c + 30 = -u, -2*c - 2*u - 12 - 8 = 0. Let a = 6 + c. Solve -4*j + y = 5, 2*y + a - 5 = 5*j for j.
-2
Let q = 20 + 2. Solve -q = 4*h - 3*z, -2*h = -3*z + 11 + 3 for h.
-4
Let z(b) = b**2 - 6*b + 2. Let j be z(6). Let a(x) = -4*x - 159. Let r be a(-42). Let t = -3 - -7. Solve 2*l + 28 = t*h - j*l, -l + r = 3*h for h.
4
Suppose 2 = -3*k + 2*k. Let y = -4 + k. Let t(q) = -q - 6. Let h be t(y). Solve -2*r + 10 = -2*g, 6*r - 2*r - 12 = h for g.
-2
Let q = 5 + -4. Let j be (-2)/(-2) + q + 1. Solve 5*v - 5*y = 10, -4*y - 3 = -j*v + 4 for v.
1
Suppose n + 4 = 2*n. Let h be 4 + 3/((-3)/(-2)). Solve -h*c - n*r = -2*c, -2*c = -4*r - 30 for c.
5
Suppose 8*a = 3*a - 5*k + 50, -2*a - 3*k + 25 = 0. Suppose a*f - 13 = 357. Let t be f/14 - 6/21. Solve -5*c - 25 = -t*y, -10 = 3*c - c - 4*y for c.
-5
Let z(u) = -u**2 + 5*u. Let p be z(4). Suppose 2*a - a = 5. Suppose 31 = a*l - 4*s, 0 = -3*s - 2*s - 20. Solve l*t = -2*n - 16, p*t = -n + 8*t + 14 for n.
-2
Let w = 8 + -4. Let h(n) be the third derivative of -n**5/60 - n**4/4 + 5*n**3/3 + 2*n**2. Let s be h(-7). Solve v - 19 = -s*a, 5 = w*v + v - 3*a for v.
4
Let d = 29 - 48. Let q be 4/14 + d/(-7). Solve -w + i + q*i - 19 = 0, 3*w + 2 = i for w.
1
Let r = -14 + 14. Solve -4*b - 15 = -r*p + p, 4*b + 21 = 5*p for b.
-4
Let a(i) = i + 6. Let f be a(-4). Solve v + 4*v = f*s + 28, 4*s + 28 = 3*v for s.
-4
Let m(v) = 2*v + v - 2*v - 3*v + 2. Let w be m(-1). Solve w*a - 4*o = o + 22, 5*a - o = 17 for a.
3
Let i = -6 - -6. Suppose i = -2*g - g + 9. Solve -g = s - 3*s + 3*q, s = -3*q + 6 for s.
3
Suppose -3*y = -2*g + 13, 2*g + 2*y + 3 = 11. Suppose -2*j = -5*j + 6. Solve j*r = g*d - 16, r - 12 = 5*r for d.
2
Suppose -2*a = -2*j + 6, -4*a = 2*j + 3 + 9. Solve 2*h + 16 - 4 = 2*k, k - 3*h - 10 = j for k.
4
Suppose -14*k = -15*k + 3. Let a be k/6 - 14/(-4). Solve a*v + 4*d + 6 = 7*v, -4*v = -2*d + 2 for v.
-2
Suppose 5*o - 9 = 1. Suppose o*h = 3 + 1. Solve r + 2 = -h*b, 1 + 34 = 5*r - 5*b for r.
4
Let b = -1 - -7. Let i = 6 - 4. Let x = 5 - i. Solve -3*t + x*c = -9, -2*t - 2*c + 8 + b = 0 for t.
5
Suppose 3 = 3*j - 3*d - d, 0 = 2*j - 4*d + 2. Solve 2*w + 0*w = p + 12, -19 = -3*p - j*w for p.
-2
Suppose -2*u = -5*u - 21. Let b = u + 10. Solve -b*s + v + 8 = 0, v - 38 + 14 = -5*s for s.
4
Let t(b) = b + 4. Let x be t(0). Let l = 11 + -7. Solve 0 = -2*k - 0*g - g - 12, -5*k = -x*g + l for k.
-4
Let r = -1 - -14. Suppose 4 = -3*h + r. Solve 0 = z - 3*u - 10, 5*z = -0*z + h*u + 2 for z.
-2
Suppose 6*z = 5*z + 8. Let n(t) = -t + 8. Let k be n(z). Solve k = -5*m + 4*i - 21, 4*i = m - i for m.
-5
Let l = -2 + 2. Suppose -4*q + z - 5 = 0, 3*q + l*q - 2*z = -10. Let d = -3 - -5. Solve -5*x = v + 11, -3*x + x + d*v - 14 = q for x.
-3
Suppose 0 = -i - 7 + 16. Suppose 3*j + 5*h = 24, j - 2*h + 1 = i. Solve 0 = -2*c - 5*x - j, -c - 3 = 2*x for c.
1
Let t(v) = -v**2 + 10. Let n be t(0). Suppose -6*h + h + n = 0. Let j be -1*(-19)/1 + -3. Solve -h*w = -2*z - j, 0 = -3*z - 0*z - 3*w for z.
-4
Let k = -8 - -4. Let a = 0 - k. Solve -g = -3*u - a, 2*g = 7*g + u - 4 for g.
1
Let j(p) = -5*p**3 - 2*p**2 - 2*p. Let o be j(-1). Solve 5*a - 14 = -3*l - 4, -2*l + o*a - 35 = 0 for l.
-5
Suppose 2 + 3 = n. Solve 0 = 3*h - 3*l - 27, -l - 2*l = 5*h - n for h.
4
Let i(o) = o**3 - 2*o**2 - 5. Let f be i(3). Solve w + 12 = f*n, -3*w = -n + w + 18 for n.
2
Suppose -4*i + 24 = 4*a, 5*i = -0*i. Let k = 6 - 3. Let p = -2 - -4. Solve -a*b + k*b = p*l + 6, -b + 8 = 4*l for b.
-4
Suppose 4*u = -0*u. Suppose -5 = -3*s + 7. Suppose f = -4*w + 2*f + 15, 4*w = -s*f. Solve -6 = -2*x - w*c, x + 4*x - c + 19 = u for x.
-3
Suppose -5 + 21 = 4*r. Solve t - 9 + 34 = r*v, 0 = -4*v - 3*t + 5 for v.
5
Suppose -2*l + 5 + 1 = 0. Suppose 2*h - 16 - 18 = 0. Suppose c = -3*d + 10, -2*d - 3*d = 2*c - h. Solve d*r = 2*v + 2, 10 = -l*v + r - 0*r for v.
-4
Let y = 4 + 1. Suppose -x = -y*x. Solve -o + s = 3, x*o - 3*o - 2*s = -16 for o.
2
Let o = 90 - 85. Solve 4*y = 2*y - 4*f, -4*y - 13 = -o*f for y.
-2
Let a be (-3)/5 + 62/(-5). Let q = a + 16. Solve 4*c = -3*d - 18, -2*c - 5*d + q*d = 10 for c.
-3
Let f(z) = 3*z - 6. Let a be f(7). Let x = 9 + 1. Suppose -4*t - t - x = 4*v, 3*v + 19 = 2*t. Solve -3*h - t*k = -a, 5*h + k - 10 = 15 for h.
5
Let s(y) be the second derivative of y**4/4 - y**3/3 + 2*y. Let v be s(-1). Solve -3*q - d = 5, -d = -v*q - 9 - 10 for q.
-3
Let i = 39 + -39. Solve i = -4*g + 16, 7*g - 3*g = -3*h + 22 for h.
2
Suppose 0 = -2*w - w + 18. Suppose 10 = 2*n - w. Suppose d + d = n. Solve -9 + 37 = d*r + 4*l, 4*r + 5*l - 31 = 0 for r.
4
Let o(z) = z**2 - 1. Let n(p) = -p**3 - 7*p**2 - 7*p - 4. Let x be n(-6). Let k be o(x). Solve -7*h + 20 = -k*h, 4*d = -3*h + 7 for d.
-2
Let u be (-58)/(-7) + (-4)/14. Let p = u + -3. Let x = 1 + 3. Solve x*f + d = -d + 14, -p = -f + d for f.
4
Let m = -8 - -17. Solve 0 = 4*g - 3*h - 0*h - m, 5*g - 2*h = 6 for g.
0
Let w be 0 + 1 + (-1 - -2). Solve -5*f = j - 0*j + 25, -w*j = 0 for f.
-5
Suppose 5*h + 2 = 6*h. Solve h*l + 3 = t + 4*t, 0 = -3*l - 3*t + 6 for l.
1
Let f(q) = -5*q. Let d be (-2 + 2)/(4/(-2)). Let v = -1 + d. Let i be f(v). Solve i*t - 2*z - 6 = 0, -5*z - 5 = 3*t + 10 for t.
0
Let f = 2 - 4. Let t(g) = -g**3 - 2*g**2 - g. Let l be t(f). Let k be (2 - 1) + 12 + l. Solve 0 = -3*s - k, 2*s = -2*x - 0*x - 18 for x.
-4
Suppose 4*k - 9 - 3 = o, 5*o - 3*k - 8 = 0. Let j be 6/4*8/6. Let m be (j/(-4))/(-1)*16. Solve -3*h - o*q + 1 = 8, 0 = 3*h + 5*q + m for h.
-1
Let f(b) be the first derivative of -b**2/2 + 5*b - 6. Let g be f(0). Solve -2*l + i = 1, g*l - l + 3*i + 7 = 0 for l.
-1
Suppose 2*j + 12 = 6*j. Solve 0 = -2*y + 3*a - 1, j*y - 5 - 22 = -5*a for y.
4
Suppose -31*r + 27*r = -16. Solve -3*u - r*q - 14 = -5, u = 5*q + 16 for u.
1
Let q = 3 - 1. Let c = -7 + 9. Let x | {
"pile_set_name": "DM Mathematics"
} |
t m be 1*(2 + -2 - o). Suppose -3*z + 7*z - 40 = m. What is the least common multiple of 4 and z?
20
Suppose -v + 1 = 5, 0 = -2*r - 5*v + 834. Calculate the common denominator of -4 + (-98)/(-4) + -4 and 4/(-10) - r/(-30).
6
Let d be ((-1)/(-2))/(1/(-2)). What is the lowest common multiple of 7 and d/(-2) - (-63)/6?
77
What is the common denominator of 85/2 and (2 - 1)*((-2418)/(-28))/13?
14
Let t = 3 - -26. Let k = -20 + t. Suppose 2*s = 7 - 1. Calculate the lowest common multiple of k and s.
9
Let o = -18 - -24. Calculate the lowest common multiple of 1 + 7 + 0/(-2) and (-10)/60 + 133/o.
88
Suppose 0*r + 4*r - 48 = c, 0 = -r + 4*c + 12. What is the smallest common multiple of r and 38?
228
Let u(m) = m**3 + 14*m**2 + m + 4. Let q be u(-12). Calculate the common denominator of -71/8 and (-2)/(-5) + 2723/q.
8
Let t(s) = -s**3 - 5*s**2 - 6*s - 6. Let g(x) = -x**3 - 3*x**2 + 4*x - 4. Let k be g(-4). What is the smallest common multiple of 7 and t(k)?
14
Let t = 5 - 2. Suppose 3*j + 4*u + 14 - t = 0, -4*j - 5*u = 13. What is the least common multiple of 1 and j?
3
Let h(k) = k**2 - 6*k - 2. What is the common denominator of h(-4) and 77/8?
8
Find the common denominator of 79/20 and (1/55)/(20/(-3950)).
220
Let l = 1925/744 + 7/186. What is the common denominator of l and 6/(-15) - 21/60?
8
Let h be -17 + (0 - (-4)/4). Let n = 27 - 19. What is the smallest common multiple of n and h*(1/(-2))/1?
8
Let q = -3/463 - -6491/1389. Calculate the common denominator of (-1)/(-3) + (-339)/(-90) and q.
30
Let i = -2/3689 - -140192/18445. Find the common denominator of (3*(-2)/75)/((-4)/555) and i.
10
Let x = -172503/23630 + 2/11815. Calculate the common denominator of -91/20 and x.
20
Let n(t) = 75*t**3 - 3*t**2 + 2*t + 2. Let h be n(-3). Let a = h - -18478/9. Let c = 2212/3 - 730. What is the common denominator of a and c?
9
Let q = 35358/11 - 3212. What is the common denominator of 19/11 and q?
11
Calculate the common denominator of -9 and (-17)/(-15)*(-42)/4.
10
Suppose -c = -5*c. Let q be 15 + (-1)/((-2)/2). Let v = q + c. What is the least common multiple of v and 12?
48
Suppose 3*p + x - 3090 = 0, 2*p + x - 2059 = -0*p. Let v = -4165/4 + p. Calculate the common denominator of v and 41/4.
4
Let z = -7 + 29. Calculate the smallest common multiple of z and (-17)/(-3) + (-2)/(-6).
66
Calculate the common denominator of (-2)/11 - (-6699)/(-2420) and 1/(-3) - 137/6.
60
Let z(r) = 7*r**2 + r + 1. Let k be z(-1). Suppose -1 = -o + k. What is the lowest common multiple of o and 6/15 + 38/5?
8
Let p(f) = -2*f**2 - 3*f - 2. Let u be p(3). Let l = u + 43. Calculate the least common multiple of l and 12.
84
Calculate the common denominator of -33/4 and ((-2058)/56)/(6/(-4)).
4
Let i = -1067/2 - -2688/5. What is the common denominator of 1574/36 + 12/(-54) and i?
10
Let u be 1/(-3) + 19292/96. Let a = u + -201. What is the common denominator of 1/(-2) + 57/(-16) and a?
16
Let t = 34765/8 + -4339. Calculate the common denominator of 13/18 - (-2)/6 and t.
72
Let j = 4937111/204 - 281808/17. Let z = j - 7617. Find the common denominator of z and -89/14.
84
Suppose 4*d - d = 903. What is the smallest common multiple of d/13 - (-2)/(-13) and 11?
253
Suppose 3*u - 25 = 5. Suppose 3 = -g + 11. Calculate the least common multiple of u and g.
40
Let d = -14/101 + 6649/606. What is the common denominator of d and -9/11?
66
Suppose 6 = -c + 1. Let l = c + 3. Find the common denominator of ((-2)/(-14))/(l/74) and -8/5.
35
Suppose u + 1 = 4. Suppose 2 - u = -m. Calculate the lowest common multiple of m and 4.
4
Let a = -519301/130860 - 14/3635. Calculate the common denominator of a and -79/18.
36
What is the common denominator of (-1 + 43/(-2))/14 and -21/8?
56
Suppose 32 = 2*n + 2*m, 2*m + 9 + 85 = 5*n. Let r = -2 + n. Calculate the least common multiple of r and 2/(-9) - (-1274)/63.
80
Let n(c) = 2*c. Let v be n(7). Calculate the common denominator of 99/8 and 20/v*(-24)/15.
56
Let n = 643579/236430 + 2/13135. What is the common denominator of 97/114 and n?
342
Suppose 4*u - 7*u = -33. Suppose 0 = -2*w - w + 30. What is the lowest common multiple of w and u?
110
Let h(n) = n**2 - 5*n + 4. Let k be h(4). Suppose k*o + 2*o = -50. Calculate the lowest common multiple of 20/(-6)*90/o and 18.
36
Find the common denominator of 4/1 + (-856)/64 and 15/4.
8
Let m(a) = -4*a**2 - a - 1. Let j be m(-1). Let h(k) = 2*k**3 - 3*k**2 - 2*k - 1. Calculate the least common multiple of h(3) and 22 + j - (0 - -2).
80
Let n(x) = x**3 - 7*x**2 + 8*x - 8. What is the smallest common multiple of 20/80 + (-30)/(-8) and n(6)?
4
Let l be 430988/261*(-37590)/16. Let u = l - -3879526. Let m = u - -2/29. What is the common denominator of 17/20 and m?
60
Let g = -174654557/12 + 14546085. Let p(j) = j + 8467. Let m be p(0). Let i = g + m. Calculate the common denominator of i and 59/8.
24
Suppose -4*q - 5*k - 19 = 0, -3*q + 4*q + 1 = -5*k. Let v = 3 - q. Calculate the lowest common multiple of 3 and v.
9
Suppose 6 = -2*j - 10. Let g = -73/2 - -153/4. What is the common denominator of g and j?
4
Suppose 4*x - 10 = 3*x - 4*z, -4*z = 3*x - 30. What is the smallest common multiple of x and 15?
30
Let z be (0 - 1)/(2/(-12)). Suppose -14 = -10*g + 3*g. Calculate the least common multiple of g and 111/z - (-1)/(-2).
18
Let a(c) = c**2 + 2*c + 2. Let y be a(-2). Calculate the smallest common multiple of 2 and y + (3 - 2) + 0.
6
Let d(j) = j**2 + 27*j + 53. Calculate the lowest common multiple of d(-25) and 11 - 1*(0 + 1).
30
Let m = -311759712163/24968 - -99890879/8. Let w = -2/9363 + m. Let j = -453/14 + 125/7. Find the common denominator of j and w.
6
Suppose c = 55 + 236. What is the common denominator of 99/4 and -1 + c/(-54) + 3?
36
Let c(x) = -x - 2. Let u be c(2). Let o(m) = -4*m - 6. Let q be o(u). Let f = q + -4. Calculate the least common multiple of f and 9.
18
Let g = -1117/6 + 86753/466. Let d = -5353/4194 + g. What is the common denominator of 33/4 and d?
36
Let s = -23549504271/6466180 - -1/323309. Let k = -3639 - s. What is the common denominator of 57/10 and k?
20
Suppose 0 = -2*m + 16 - 4. Calculate the lowest common multiple of m and 6.
6
Let t = 16448 - 296141/18. Let y = 48 + -769/16. Find the common denominator of y and t.
144
Let c = -1387 + 9739/7. Calculate the common denominator of c and 2/11.
77
Let i = -20233678/2035 + 49714/5. Let g = i + -23526/2035. Find the common denominator of 44/3 and g.
15
Let b(g) = 147*g**2 + 3*g - 7. Let r be b(3). Let y = -8075/6 + r. Calculate the common denominator of 89/6 and y.
6
Let v(d) = -7*d - 5 + 2*d + d**2 - 4. Calculate the smallest common multiple of v(7) and 4.
20
Let s = 1/360 + 71/40. Calculate the common denominator of s and 79/10.
90
Suppose 5*m - 65 - 10 = 0. Let o(x) = x**2 - 14*x - 11. What is the smallest common multiple of o(m) and 18?
36
Suppose 4*a + 0*t = -2*t + 48, -4*a + 52 = t. What is the least common multiple of 4 and a?
28
Let h(j) = -4*j**2 + j. Let i be h(-2). Let b be (-1)/2 + i/4. Let w = -3 - b. What is the lowest common multiple of 8 and w?
8
Let y = 36 - 32. What is the smallest common multiple of 10 and y?
20
Let v = 3149/909 - 2/101. Find the common denominator of 1/10 and v.
90
Let i be 1 + (-9419)/20 - 2. Let w be (-1213)/5*(-4 - -2). Let c = w + i. What is the common denominator of -97/6 and c?
12
Let v(k) = -3*k - 10. Calculate the smallest common multiple of v(-6) and 46.
184
Let i = 90175241/16 - 5633361. Let h = i + -10391/4. What is the common denominator of -27/16 and h?
16
Suppose n - 22 = -4*j + j, -10 = -5*j. Calculate the least common multiple of 40 and n.
80
Let a = 72 - 36. What is the common denominator of 70/(-12) + (-2)/(-1) and 85/4 + (-9)/a?
6
Let w be (8 + 11)*(-6)/37. Let y = w + 4495/222. Find the common denominator of -2/7 and y.
42
Let x = -2/291 - -295/582. Find the common denominator of x and 119/18.
18
Suppose 0*b + 4*b + 8 = 0. Let y(w) = w**2 - 12*w - 12. Calculate the lowest common multiple of 2 - b*(-14)/(-4) and y(13).
9
Let m = -173 - -203. What is the lowest common multiple of m and 72?
360
Let u(r) = -5*r + r**2 - 4*r + 2 + 4*r. Calculate the lowest common multiple of u(7) and 29 + -6 + -1*3.
80
Let j(q) = 3*q**2 - 10*q - 5. Calculate the smallest common multiple of j(5) and 12.
6 | {
"pile_set_name": "DM Mathematics"
} |
Calculate the greatest common factor of k and 8.
1
Suppose -q + 13 = 2*c - c, 5*c - 3*q - 73 = 0. Suppose -t - 3*t = -8. What is the highest common divisor of t and c?
2
Let s(l) = 4*l - 2. Let b be s(-4). Let v(g) = 38*g. Let q be v(-1). Let a = b - q. What is the greatest common divisor of a and 160?
20
Let z(j) = -2*j**2 + 39*j - 22. Let q be z(16). Calculate the highest common factor of 10 and q.
10
Let v(w) = -6 - 3*w - 5*w + 0*w - 1. Let n be v(-7). What is the highest common divisor of 7 and n?
7
Suppose -3*k + 3*b = -219, 3*k - k = -2*b + 126. Let v = 178 - k. What is the highest common divisor of 10 and v?
10
Let m(k) = -k - 6. Suppose 5*i + 52 = i. Let z be m(i). What is the greatest common factor of 7 and z?
7
Let z(v) = -3*v - 13. Let g be z(-5). Calculate the highest common factor of 3 and g.
1
Suppose 0 = -a + 2 + 2. Let b = -54 + 74. Calculate the greatest common factor of a and b.
4
Suppose -s - 3*n = 3, n + 2*n + 27 = s. Let u be (4 + -3)*-3 + 5. Suppose p - 1 - u = 0, 2*o + 2*p - 102 = 0. What is the highest common factor of s and o?
12
Let k be (42/(-10))/((-2)/10). Suppose 0 = -2*w + 213 - k. Let c be 4/6 - 102/(-9). What is the highest common factor of c and w?
12
Suppose -5*o + 14 - 9 = 0. What is the highest common divisor of 11 and o?
1
Let c(a) = a**3 + 4*a**2 - 4. Let l be c(-3). Let o(f) = -f**2 + 6*f + 15. Let r be o(5). Calculate the highest common factor of l and r.
5
Suppose -4*s = -0*s. Suppose s = x - 4 - 5. What is the highest common divisor of 36 and x?
9
Let j be 64/6*30/20. Calculate the greatest common divisor of j and 2.
2
Let s be (-49)/(-4) - 3/12. Let w(l) = -l - 9. Let h be w(-8). Let r be (-4 + 5)*(-36)/h. What is the highest common divisor of r and s?
12
Suppose 0*j - 8 = -j. What is the highest common divisor of j and 8?
8
Let s be 6/((-1)/(-18)*4). Let x = s - 7. Let l = 5 + x. What is the greatest common factor of 5 and l?
5
Let p = -18 - -20. Calculate the highest common divisor of 14 and p.
2
Let g be (3 + -2)*(5 + 9). Suppose -4*w + r = -169, w + 2*r - 39 - 1 = 0. What is the highest common divisor of g and w?
14
Suppose 2*w - q = 95, -q = -4*w + 26 + 165. What is the highest common factor of w and 24?
24
Let j(i) = -i**2 - 7*i + 10. Let x be j(-8). Suppose x*g - 84 = -g. Calculate the greatest common factor of g and 4.
4
Suppose 0 = -3*d + o + 57, d - 2*d + 33 = -5*o. Calculate the greatest common divisor of 144 and d.
18
Suppose -2*j + 9 = j. Suppose -2*i = -j*t + 89, -2*t + 60 = 4*i - 26. What is the greatest common divisor of 132 and t?
33
Let h = 13 - -17. Calculate the highest common divisor of h and 20.
10
Suppose 0 = -5*s - 2*u - 2*u + 28, 4*s + 2*u - 20 = 0. Suppose -2 = s*n - 5*n. Suppose 5*g - 3*g = n. What is the greatest common factor of 8 and g?
1
Let y(t) = t**2 - 6*t - 5. Let u be y(7). Let g be (-1)/(-2)*-1 - 675/(-30). What is the highest common divisor of g and u?
2
Let g be 36/(-42)*(1 - 15). Suppose -248 = -i - 0*i. Let t = -116 + i. What is the highest common factor of g and t?
12
Let x be (2/(-4))/((-2)/1440). Suppose -u = -4*u + x. Calculate the greatest common divisor of 15 and u.
15
Suppose 21 = 2*k - 5. Calculate the greatest common divisor of k and 26.
13
Let p be (-2 - -1 - -9)/2. Let r be 2/p + 78/4. What is the greatest common divisor of 80 and r?
20
Let m be 1 + -22*(-2)/1. Suppose -3*o - 6 = -m. Let h(k) = -11*k - 2. Let j be h(-12). Calculate the highest common factor of j and o.
13
Let a = -122 - -270. Calculate the greatest common divisor of a and 37.
37
Let l(x) = 5*x**2 + 2*x - 3. Let g be l(5). Suppose -2*s = s - 36. Calculate the greatest common divisor of s and g.
12
Let x be (8 - 10)*15/(-2). Calculate the highest common divisor of x and 60.
15
Let x = -310 - -573. Suppose 4*p - x = 97. Suppose 2*g - 50 = -3*s, -g + 4*g - 84 = -5*s. What is the highest common divisor of p and s?
18
Let t be 1*3*(-6)/(-9). Suppose -t*o = 4*p - 304, 0 = 5*o - 3*p - 543 - 230. What is the highest common factor of 14 and o?
14
Suppose 5 + 22 = 3*x. Calculate the greatest common divisor of 81 and x.
9
Let i be (-13 - -3)/((-2)/1). Suppose -2*t + 2*r = -2*r - 66, -i*r - 20 = 0. Calculate the greatest common divisor of t and 5.
5
Let p = -6127 - -3969. Let a be 1/5 + p/(-10). Let k = -135 + a. Calculate the highest common factor of 9 and k.
9
Suppose -4*k = -k - 4*x - 29, x = -3*k + 34. Calculate the greatest common divisor of k and 11.
11
Let x be 150/12*336/30. Calculate the highest common divisor of x and 35.
35
Suppose -4*o = -3*o - 196. Suppose 3*y + y + 4*f - o = 0, -119 = -3*y + 4*f. Let p = 49 + -31. Calculate the greatest common divisor of y and p.
9
Suppose 4 = n - 0*n. Suppose n*u - 72 - 24 = 0. What is the greatest common factor of 16 and u?
8
Suppose 0 = -5*i + 56 + 64. What is the greatest common divisor of 8 and i?
8
Let v be ((-2)/9)/(12/(-54)). Calculate the highest common divisor of 8 and v.
1
Suppose -n + 6*n = 55. Suppose 3*i - 16 = -i. Suppose 151 + 260 = i*a - 5*s, 4*a + 5*s = 381. What is the highest common factor of n and a?
11
Let z = 67 + -52. Calculate the greatest common factor of z and 45.
15
Let o(v) = 31*v**3 - 2*v**2 + 2*v - 1. Let w = 8 - 7. Let g be o(w). Let r(c) = c + 1. Let q be r(5). What is the highest common divisor of g and q?
6
Let f be (-184)/(-6) - 8/12. Let v be f/5 + 0 + 2. What is the greatest common factor of v and 2?
2
Let f(u) = 2*u**3 - u. Let p be f(2). Let z be 1326/p + 2/7. Let m(s) = 5*s**2 + s - 4. Let l be m(-3). What is the highest common divisor of z and l?
19
Let k(j) = j**2 + 2*j + 4. Let i be k(-5). Calculate the highest common factor of 209 and i.
19
Let p(t) = -t**3 + 9*t**2 + 2*t + 8. Let z be p(9). Let m be 3 + -1 + z + -2. Calculate the highest common factor of 39 and m.
13
Let f(t) = 2*t. Let q be f(4). What is the greatest common factor of q and 8?
8
Let x = -6 + 8. Suppose 5*j + x*w = 25, -13 = -4*j - 5*w + 7. Calculate the greatest common factor of j and 1.
1
Let l = 3 - -2. Let f be (42/l)/(3/40). Suppose 3*j + x - 44 = 3*x, 5*j - 2*x = 72. Calculate the greatest common divisor of j and f.
14
Let u(t) be the second derivative of t**3/6 - 5*t**2/2 - 2*t. Let g be u(5). Suppose -6*m + 4*m + 24 = g. What is the highest common divisor of m and 60?
12
Let a(c) = 3*c**2 + 9*c + 6. Let l be a(-7). Let n be 0*(-3)/9 + 36. Calculate the highest common factor of l and n.
18
Suppose 3*r + 5*y = 55, 4*r - 7*y - 50 = -2*y. Let f = 1 + 4. Calculate the greatest common factor of f and r.
5
Let v = -23 + 7. Let j be 4/v - 57/(-4). Calculate the highest common divisor of j and 154.
14
Suppose 2*z + z + 4*u - 15 = 0, -z + 5 = u. Let y(d) = -d**2 - 13*d + 19. Let v be y(-14). Calculate the highest common divisor of z and v.
5
Suppose -60*y - 9 = -61*y. What is the highest common divisor of 81 and y?
9
Let k = 2 + -2. Let r be (k - 1)/(-1) - -1. What is the highest common divisor of 18 and r?
2
Suppose -3*w + z + 4*z + 25 = 0, 0 = 3*w - 2*z - 28. What is the highest common divisor of w and 70?
10
Suppose 5*b - 2*q - 12 = 0, 5*b - 16 = 2*b - q. Let f be b - 4*(-1)/(-2). Let s be (-72)/(-5) + 8/(-20). Calculate the highest common factor of f and s.
2
Suppose -10 = 5*i - 70. Let x = -55 + 91. Calculate the highest common divisor of i and x.
12
Let i be (-1)/2 + 45/18. What is the highest common divisor of 4 and i?
2
Suppose 4*r + 4*u = 2 + 2, r + 2*u = 3. Let t(i) = -46*i - 1. Let q be t(r). Calculate the highest common divisor of q and 5.
5
Let g = 53 + -44. Calculate the highest common factor of g and 18.
9
Let o = 18 + -12. Let s(l) be the first derivative of 2*l**3/3 - l**2/2 - 6*l - 1. Let w be s(o). What is the greatest common factor of 15 and w?
15
Suppose 2*l + 5*c = 153, -336 = -5*l - 0*l + 3*c. Let z = l - 15. Calculate the highest common divisor of 6 and z.
6
Let i = 15 - 24. Let d be 30/i*(4 - 1). Let s be d/(3/(2 - 26)). Calculate the greatest common divisor of 20 and s.
20
Suppose -d - 18 = -4*d. Let h = -33 + 57. Suppose -2*j + 0*j = -h. Calculate the greatest common divisor of d and j.
6
Let o(f) = f - 3. Let a be o(4). Calculate the highest common divisor of a and 5.
1
Let t = -42 - -90. Let q = t + 73. What is the highest common factor of q and 11?
11
Let a = 8 + -6. Let n be (-5)/((-5)/12) - a. Calculate | {
"pile_set_name": "DM Mathematics"
} |
reatest common factor of u and 448?
56
Suppose 2*b = 53 + 11. What is the greatest common factor of 288 and b?
32
Suppose 2*y - 64 = l - 5*l, 5*y - 85 = -5*l. Let i(d) = -d**3 - 3*d**2 + 3*d. Let n be i(-6). Calculate the greatest common factor of n and l.
15
Let i(h) = 29*h + 14. Let s be i(4). What is the highest common divisor of 13 and s?
13
Suppose -g - 3*v + 24 + 5 = 0, 4*v = 5*g - 50. What is the greatest common divisor of g and 70?
14
Suppose -2 - 2 = -i, -4*w = 3*i - 384. Suppose 6*q = 3*q + 93. Calculate the greatest common factor of q and w.
31
Let j = 14 - -6. Let s be (-1 + -2)/(-3)*5. What is the greatest common factor of s and j?
5
Let l = -3 + 15. What is the highest common factor of l and 96?
12
Suppose -2*c - 3*o = -c - 14, -28 = -2*c + 4*o. Calculate the highest common divisor of c and 42.
14
Suppose k = -2*y - 28, -4*y + 3*k - 2*k - 44 = 0. Let h be -2 - y - 3*-1. What is the greatest common divisor of 143 and h?
13
Suppose -4*y = -22 - 10. Calculate the greatest common divisor of 56 and y.
8
Let o(u) = 6*u**2 - 29*u + 9. Let n be o(10). What is the highest common factor of 11 and n?
11
Suppose -2*a = -y + 3*a + 21, -4*y = -5*a - 24. Suppose 2*q - y = q. Calculate the greatest common factor of q and 11.
1
Suppose 0 = 4*o - 547 + 3. Calculate the greatest common factor of 17 and o.
17
Let r(o) = o**2 - 2*o + 3. Let j(b) = -b - 4. Let u be j(-7). Let g be r(u). Calculate the greatest common factor of g and 36.
6
Let f(i) = -2*i**3 - 16*i**2 + 6*i + 8. Let p be f(-9). Calculate the highest common divisor of p and 4.
4
Let r(a) = -a + 14. Let g be r(0). Suppose -6*t = t - 147. What is the highest common factor of t and g?
7
Let i(s) = s - 4. Let t be i(6). Suppose t*d + 2*z - 14 = 0, -6 = 3*z - 6*z. What is the greatest common divisor of 10 and d?
5
Let p(v) = 2*v + 9. Let n be p(5). Let y be (1 + -6)/(n/(-38)). Let k be (-1 + 2)*1 + 19. Calculate the highest common factor of k and y.
10
Let l(w) be the third derivative of -w**4/8 - w**3/2 + 2*w**2. Let r be l(-2). Suppose -r*d + 0*d = -24. What is the greatest common factor of d and 1?
1
Suppose -13 = -3*z - 4. Let t be 2/3 - (-485)/15. What is the greatest common factor of z and t?
3
Suppose 0 = -4*l - 8 + 32. Let w = l - 4. Let b be w*(1 - (-17)/2). What is the greatest common divisor of b and 19?
19
Let p(y) = 34*y**2 - 2*y + 2. Let c be p(1). Suppose 2*u - 4*u - 5*l - 41 = 0, -2*u + 5*l = -9. Let o = u - -93. Calculate the highest common factor of o and c.
17
Let a(s) = 9*s - 2. Let d be a(5). Suppose 4*c - d - 1 = 0. What is the highest common factor of 121 and c?
11
Suppose 0 = -6*s + s + 135. Suppose -2*z + 1 = -z, f - 3*z = 6. What is the greatest common factor of f and s?
9
Let x be -1 - (-78 + -1 + 0). Let y = 111 - x. Calculate the greatest common divisor of 22 and y.
11
Let r be ((-1)/(5/(-15)))/(1/4). Calculate the highest common divisor of r and 48.
12
Let t(l) = -l - 88. Let i be t(0). Let w = 166 + i. Suppose -4*v = -v - w. Calculate the greatest common divisor of 39 and v.
13
Suppose 0 = f - 4*g + g + 6, 0 = 2*f + 4*g - 28. Let n be 1/2 - (-83)/2. What is the greatest common divisor of n and f?
6
Let c be 1/((-2)/(-80)) + 0. Calculate the greatest common factor of c and 16.
8
Let g = 37 - 25. Let a(q) = 20*q. Let o(u) = 3*u**2. Let t be o(1). Let f be a(t). Calculate the highest common factor of f and g.
12
Let i be (0/5)/(-1 - -2). Suppose i = 2*x + 3*a - 1, x + 5*a = 5*x - 35. Suppose -9 = -x*y + 2*y. Calculate the highest common divisor of 21 and y.
3
Let q(l) be the first derivative of l**3/3 - 11*l**2/2 + 12*l + 5. Let b be q(11). Calculate the highest common divisor of b and 18.
6
Let d be (-54)/(-15) + 2/5. Let j(r) = -11*r - 2. Let f be j(d). Let y = -28 - f. Calculate the highest common divisor of y and 9.
9
Let v be (0 + -2)*(-5 - 5). What is the greatest common factor of v and 4?
4
Suppose 5*v - 48 = -4*y, -2*y - 6*v + 3*v + 26 = 0. Let d = 0 + y. Suppose -3*t = -l - 105, -2*t + 105 = t + 4*l. What is the highest common factor of t and d?
7
Suppose 3 = 3*a - 0, 0 = 3*d + 4*a - 16. Let x be (0 + 1)*(-1 + d). Suppose 4*o + 17 = g, 4*g - x = -4*o + 5. Calculate the greatest common divisor of g and 35.
5
Let b(p) = -p**3 + p**2 + p + 8. Let k be b(0). Let w = k - 4. Suppose w*u + 4*z = 7 + 33, -5*z = 10. Calculate the highest common factor of u and 132.
12
Let p(a) = a**2 - 2*a. Let t be p(6). Calculate the greatest common divisor of t and 3.
3
Suppose 3*k + 20 = 8*k. Calculate the highest common divisor of 20 and k.
4
Suppose 129 = 5*d - 106. Calculate the highest common divisor of 517 and d.
47
Let c = 19 + 5. Let s(y) be the first derivative of 2*y**3 - 1. Let g be s(1). Calculate the highest common divisor of c and g.
6
Suppose f + 15 = -0*f - 2*b, 0 = 4*f + 3*b + 85. Let v = -5 - f. Calculate the highest common divisor of 30 and v.
10
Suppose 7 = -3*u - 2. Let i = 0 - u. Let f be -2*(1 + (-3 - -1)). Calculate the greatest common factor of i and f.
1
Let h = 9 - 5. Suppose 0 = h*s - 3 - 41. Suppose -2*y + 7*y - 495 = 0. Calculate the highest common divisor of s and y.
11
Let o be 3/9 - (-11)/3. Calculate the greatest common divisor of o and 3.
1
Suppose 0*y - 4*u = -3*y + 133, 2 = -2*u. What is the greatest common divisor of 473 and y?
43
Let g = -13 + 59. Let m = -33 + g. Calculate the highest common divisor of m and 117.
13
Suppose -x = -2*x, 2*x = -s + 44. Calculate the highest common divisor of 66 and s.
22
Suppose 4*m + 36 = 2*q, 3*m = -5*q - 0*m + 64. Suppose -4*a + 10 = -q. What is the highest common factor of a and 3?
3
Let l be (-11)/(-3) - (-9)/27. Suppose -l*o + 33 = -o. Calculate the greatest common divisor of 11 and o.
11
Let a(h) = h**2 + 4*h - 11. Let r be a(-8). Suppose -3 = 3*z - r. What is the greatest common divisor of z and 15?
3
Let j = 0 - 0. Suppose j = w - 2*w - 3. Let n be (w/(-2))/((-3)/(-64)). Calculate the highest common divisor of n and 4.
4
Let a = 15 + -3. Let d be a/(-21)*14/(-2). Calculate the greatest common divisor of d and 2.
2
Let h = -22 - -36. Let k = h + 58. Suppose 6*g - k = 2*g. Calculate the greatest common factor of g and 12.
6
Suppose 0 = -5*x - 2*s + 11, 0*x + 3*x + s = 7. Let i be ((-20)/(-2))/2 + 0. Let o = i - x. What is the highest common factor of o and 10?
2
Let h be 5 + -4 + (12 - 1). Suppose 0 = -2*b + 3*v + 3, 0 = -2*b - 0*v + 2*v + 4. Let p be (b + 5)/((-2)/(-33)). Calculate the highest common factor of p and h.
12
Let m be ((-60)/(-8))/(6/64). Let h be 2/(-1 - -2)*16. What is the greatest common divisor of h and m?
16
Suppose -r + 4 = u, 3*u - 14 = -3*r - 2*r. Suppose -5*z + 5*q = -15, 2*z + 3*q - 21 = -5. Suppose 186 = z*k + 21. What is the highest common factor of k and u?
3
Suppose 4*c + 0*b + 987 = -5*b, c + 2*b + 243 = 0. Let l = -162 - c. Let h = 37 + -24. What is the greatest common divisor of h and l?
13
Let n = -5 + 9. Suppose -4*o + 28 = -3*p - 109, 2*o + n*p - 52 = 0. Suppose 0*g + 4*g - o = 0. What is the greatest common factor of 2 and g?
2
Let x = 16 + -22. Let u(j) = j**3 + 6*j**2 - j - 2. Let g be u(x). Calculate the greatest common factor of 4 and g.
4
Suppose -3*u = -u + 4*s + 16, -4*s = 20. Suppose 4*p + a + 25 = 80, p + u*a = 19. What is the highest common factor of p and 104?
13
Let w = -19 - -187. Calculate the highest common divisor of 21 and w.
21
Let q(c) = c**2 - 9*c - 15. Let k be q(-5). What is the greatest common divisor of 440 and k?
55
Suppose 3*a + 7 = 19. Suppose -3*z = -5*c + 14, 3*z = a*c - c - 6. What is the greatest common divisor of 6 and z?
2
Let s = 368 - 215. What is the highest common factor of 17 and s?
17
Suppose 4*l = 3*x - 49 - 16, x = -2*l + 25. Calculate the highest common factor of x and 115.
23
Let j be (19/(-5))/(2 + 22/(-10)). What is the highest common factor of 76 and j?
19
Let v(t) = t**2 + 10*t - 16. Let d be v(-11). Let b be (-28)/d - (-8)/20. Calculate the highest common factor of 9 and b.
3
Let k be (-74)/(-8) - 3/(-4). Calculate the highest common divisor of 4 and k.
2
Suppose -4*y - 2*a + 86 = 0, 3*y + 2*y - 103 = -a. Let h = -13 + y. Calculate the highest common divisor of 21 and h.
7
Suppose -1 + 5 = -2*u, -3*d + 5*u = -31. Suppose 0 = 3*x + 14 - 71. Let g = x - d. What is the highest common divisor of g and 12?
12
Let y = -99 | {
"pile_set_name": "DM Mathematics"
} |
and 14?
14
Calculate the greatest common divisor of 50 and 6050.
50
Calculate the greatest common divisor of 49 and 5047.
49
Calculate the greatest common factor of 55 and 33.
11
Calculate the greatest common divisor of 975 and 624.
39
What is the highest common divisor of 4 and 1536?
4
What is the greatest common divisor of 12 and 3402?
6
What is the greatest common factor of 35 and 1120?
35
What is the highest common divisor of 180 and 990?
90
What is the greatest common factor of 6946 and 46?
46
Calculate the highest common divisor of 2975 and 238.
119
What is the highest common factor of 20 and 380?
20
What is the greatest common divisor of 56 and 3472?
56
Calculate the greatest common divisor of 10928 and 16.
16
Calculate the greatest common divisor of 72 and 5526.
18
What is the highest common factor of 395 and 5?
5
Calculate the highest common divisor of 11 and 583.
11
Calculate the highest common divisor of 57 and 5073.
57
Calculate the highest common divisor of 1918 and 182.
14
What is the highest common divisor of 57 and 38?
19
What is the greatest common factor of 221 and 68?
17
Calculate the greatest common factor of 17725 and 25.
25
Calculate the highest common factor of 18 and 918.
18
Calculate the highest common divisor of 323 and 17.
17
What is the highest common factor of 112 and 560?
112
What is the greatest common divisor of 236 and 14?
2
Calculate the highest common divisor of 2 and 1994.
2
What is the highest common divisor of 98 and 11711?
49
What is the highest common divisor of 19 and 4009?
19
What is the highest common divisor of 29 and 1189?
29
What is the greatest common divisor of 21 and 49?
7
Calculate the highest common divisor of 329 and 7.
7
What is the greatest common divisor of 365 and 2847?
73
Calculate the highest common factor of 24 and 1032.
24
Calculate the highest common divisor of 6751 and 314.
157
What is the highest common factor of 14 and 12222?
14
What is the greatest common divisor of 255 and 39355?
85
Calculate the highest common divisor of 632 and 10.
2
Calculate the highest common factor of 237 and 27.
3
What is the highest common divisor of 49781 and 67?
67
What is the highest common factor of 348 and 1668?
12
What is the highest common divisor of 18200 and 70?
70
Calculate the greatest common factor of 10 and 3200.
10
What is the greatest common factor of 1036 and 740?
148
What is the highest common divisor of 1960 and 343?
49
Calculate the greatest common factor of 848 and 18868.
212
Calculate the highest common divisor of 387 and 86.
43
Calculate the greatest common divisor of 999 and 37.
37
What is the greatest common divisor of 9 and 1089?
9
Calculate the highest common factor of 16665 and 825.
165
What is the greatest common factor of 93 and 13?
1
What is the greatest common factor of 37477 and 22?
11
What is the highest common factor of 86 and 215?
43
Calculate the highest common divisor of 35 and 25.
5
Calculate the greatest common divisor of 120 and 640.
40
Calculate the highest common divisor of 16583 and 7.
7
Calculate the greatest common factor of 4104 and 608.
152
What is the greatest common divisor of 6300 and 196?
28
What is the highest common factor of 496 and 32?
16
Calculate the highest common factor of 3 and 177.
3
Calculate the highest common factor of 476 and 68.
68
What is the highest common divisor of 18 and 4986?
18
Calculate the greatest common factor of 10 and 70130.
10
Calculate the highest common divisor of 371 and 77.
7
What is the greatest common divisor of 28 and 224?
28
Calculate the greatest common divisor of 36 and 384.
12
What is the greatest common divisor of 170 and 1054?
34
Calculate the greatest common divisor of 6 and 1434.
6
Calculate the greatest common divisor of 644 and 7406.
322
What is the highest common divisor of 5100 and 34?
34
Calculate the greatest common factor of 8242 and 182.
26
What is the highest common factor of 27 and 1728?
27
What is the highest common divisor of 5528 and 24?
8
What is the highest common divisor of 4047 and 57?
57
What is the highest common divisor of 2202 and 6?
6
Calculate the greatest common factor of 600 and 105.
15
What is the greatest common factor of 20 and 420?
20
What is the highest common factor of 39 and 572?
13
Calculate the greatest common divisor of 91 and 32851.
91
Calculate the highest common divisor of 30 and 2025.
15
Calculate the greatest common divisor of 105 and 195.
15
Calculate the greatest common factor of 2436 and 522.
174
What is the greatest common factor of 805 and 45?
5
What is the greatest common factor of 2336 and 32?
32
Calculate the highest common factor of 418 and 66.
22
What is the highest common divisor of 24 and 366?
6
What is the greatest common factor of 900 and 2880?
180
What is the greatest common divisor of 4674 and 114?
114
What is the greatest common factor of 600 and 1020?
60
What is the highest common factor of 10956 and 1162?
166
What is the greatest common factor of 284 and 2414?
142
What is the highest common divisor of 357 and 21?
21
What is the greatest common divisor of 525 and 63?
21
What is the highest common divisor of 258 and 102?
6
Calculate the highest common divisor of 8775 and 65.
65
Calculate the greatest common factor of 1030 and 50.
10
What is the greatest common factor of 115 and 2645?
115
Calculate the greatest common factor of 130 and 390.
130
What is the greatest common divisor of 26050 and 150?
50
Calculate the greatest common divisor of 76 and 248.
4
Calculate the greatest common factor of 5891 and 137.
137
What is the highest common divisor of 2 and 1198?
2
Calculate the greatest common divisor of 62 and 70.
2
What is the highest common divisor of 45 and 45?
45
Calculate the highest common divisor of 4 and 92.
4
What is the greatest common factor of 332 and 6059?
83
What is the greatest common factor of 2077 and 155?
31
What is the greatest common divisor of 28 and 364?
28
Calculate the greatest common factor of 899 and 87.
29
Calculate the greatest common factor of 105 and 6.
3
Calculate the highest common factor of 306 and 342.
18
Calculate the greatest common factor of 143 and 13.
13
What is the greatest common factor of 22 and 594?
22
Calculate the greatest common divisor of 88 and 64.
8
Calculate the highest common factor of 36 and 8.
4
Calculate the greatest common factor of 74 and 4.
2
What is the greatest common factor of 15521 and 187?
187
Calculate the greatest common divisor of 136 and 24.
8
What is the highest common factor of 7 and 602?
7
Calculate the greatest common factor of 22 and 4378.
22
Calculate the highest common factor of 14 and 455.
7
What is the greatest common factor of 30 and 18990?
30
What is the highest common factor of 30 and 6?
6
Calculate the greatest common factor of 36 and 15948.
36
What is the highest common factor of 264 and 72?
24
Calculate the highest common factor of 8051 and 97.
97
Calculate the highest common factor of 17 and 34.
17
What is the highest common factor of 31009 and 22?
11
What is the greatest common divisor of 69 and 391?
23
What is the greatest common divisor of 64 and 352?
32
What is the highest common divisor of 43 and 15007?
43
What is the greatest common factor of 72 and 144?
72
Calculate the highest common factor of 1140 and 30.
30
Calculate the highest common factor of 54 and 513.
27
What is the greatest common divisor of 47730 and 10?
10
What is the greatest common factor of 40 and 1980?
20
Calculate the highest common divisor of 106 and 2.
2
Calculate the highest common factor of 185 and 1887.
37
Calculate the highest common divisor of 621 and 54.
27
What is the greatest common factor of 60 and 435?
15
What is the greatest common divisor of 65 and 535?
5
What is the highest common divisor of 221 and 13039?
221
Calculate the greatest common factor of 21 and 917.
7
Calculate the greatest common divisor of 565 and 226.
113
What is the highest common divisor of 85 and 34?
17
What is the highest common factor of 15 and 55?
5
Calculate the greatest common factor of 6400 and 75.
25
Calculate the highest common factor of 32 and 10368.
32
What is the highest common divisor of 562 and 8?
2
Calculate the greatest common factor of 132 and 44.
44
Calculate the highest common divisor of 2226 and 8 | {
"pile_set_name": "DM Mathematics"
} |
cond derivative of 1/20*o**5 + 9*o**2 + 1/3*o**4 + 1/2*o**3 + 0 - 20*o. Let m be d(-4). Determine l(m).
2
Let m(a) = -11*a - 12*a + 220 + 291 - 857 + 289. Give m(-3).
12
Let a = 372 + -520. Let n = a - -155. Let y(t) = 2*t - 5. What is y(n)?
9
Let x(k) be the second derivative of 1/6*k**4 - k**2 + 48*k + 1/6*k**3 + 0. Determine x(1).
1
Let n(b) = 2*b + 14. Let s(a) = -3*a**3 + 14*a**2 - 7*a + 16. Let v be s(6). Let y = v + 165. Calculate n(y).
4
Let p(x) = 25*x**2 + 48*x + 4*x**2 + 3 + 13*x**2 - 33*x**2. What is p(-5)?
-12
Let f be -9 + 116*2/8. Suppose 4*k + f = 2*m, -97*m + 92*m + 2*k = -18. Let b(v) = -2*v**2 - 2*v + 2. Calculate b(m).
-10
Let u be (1/(-2))/(7/70). Let q be 0 - (u + 2)*1. Let y(z) = q*z - 91 + 51 + 42 + 4*z**2 - 2*z**2 - z**3. What is y(3)?
2
Let b(p) be the first derivative of 9*p**2 - 27*p + 3141. Calculate b(1).
-9
Let k(m) = -m**3 + 3*m**2 - 3*m + 3. Let d(g) = g**2 + 8*g + 10. Let t(i) = -5*i**2 - 2. Let u be t(1). Let b be d(u). Calculate k(b).
-6
Let o(u) = u**3 - 19*u**2 - 11*u + 34. Let b be o(20). Suppose 3*g - 241 = -b. Let w(a) = -a + 13. What is w(g)?
4
Suppose 4*x - 5*t = 101, -11*x + 3*t = -12*x + 4. Suppose -7*c + 4*c + 5*y = x, c - 3*y = -13. Let l(a) = -6*a + 1. Calculate l(c).
-11
Let g(t) = -t**2 + t. Let u(j) = -14*j**3 + j**2 - 2*j + 1. Let b(r) = -g(r) - u(r). Suppose -9*w - 500 = -509. Give b(w).
14
Let u(m) = 4 - m + 8 + 15 - 5*m - 8. Determine u(5).
-11
Let t be 1/(676/135 - 5). Let h = t - 132. Let u(a) be the third derivative of a**6/120 - a**5/30 - a**4/12 + a**3/6 + a**2. Determine u(h).
4
Let f(v) be the second derivative of v**4/12 + v**3 - v**2/2 - 130*v - 2. Let g(a) = -4*a. Let j be g(2). Give f(j).
15
Let x(o) be the third derivative of o**5/60 + o**4/24 - 4*o**3 - 137*o**2 - 3. Calculate x(-6).
6
Let b(n) be the third derivative of -n**3 + 0*n + 0 - 1/40*n**5 - 1/6*n**4 + 33*n**2. Let l(g) be the first derivative of b(g). Give l(-7).
17
Let o(z) be the second derivative of z - 39/2*z**2 + 1/20*z**5 + 11/6*z**4 - 3 + 19/3*z**3. Let t be o(-20). Let c(u) = 5*u**3 + 2*u - 1. What is c(t)?
6
Suppose 17*m - 345 = -6*m. Let j(r) = r**3 - 16*r**2 + 14*r - 9. What is j(m)?
-24
Let x = -65 + 70. Suppose 2*d - 4*v = -2*d + 56, 0 = x*d + 2*v - 42. Let f(y) = d - y**2 - 6 - 5*y + y**2 - 2*y**2. Give f(-4).
-8
Let m(h) be the third derivative of h**5/60 + h**4/8 + 2*h**3/3 - 1982*h**2. What is m(-4)?
8
Suppose 17 = 3*b + 4*m, -94*m + 19 = 5*b - 92*m. Let v(y) = 10*y**3 + 3*y**2 - 3 - 19*y**3 + 8*y**3. Give v(b).
-3
Suppose -z - 3*o - 9 = 0, 7 = -4*z - 2*o - 19. Let j(s) = -s**3 - 7*s**2 - 9*s - 1. What is j(z)?
17
Let w be 2/(-7) - 32/(-14). Let z = 2805 - 2801. Let g(k) = -k**3 + 876*k**2 + 3*k - 2 - z*k - 877*k**w. Determine g(-2).
4
Let h(y) = y**3 - 4*y**2 + 2*y - 1. Let g be 1/(5*4/80). Suppose -b + 4 = 11*s - 8*s, -g*b + 16 = -2*s. Give h(b).
7
Let s(x) = 943 + 793 + 69*x + x**3 - 14*x - 1632 - 58*x**2. Determine s(57).
-10
Let i be (-12)/6*((-140)/8)/7. Suppose -i*x - 9 = -14. Let f(d) = d + 2. Give f(x).
3
Let b be 7/21*-33 - -15. Let f(p) = p**3 - 5*p**2 - 4. What is f(b)?
-20
Let d(g) = 18*g**2 + 2*g - 1. Let v(c) = -96*c**3 - 2*c + 4. Let k be v(-2). Suppose k*s = 782*s - 6. What is d(s)?
19
Suppose -527*r + 324 = -545*r. Let u(l) = l**2 + 11*l - 120. Determine u(r).
6
Let r(q) be the first derivative of 2/3*q**3 - q + q**2 + 1/4*q**4 + 82. Give r(0).
-1
Suppose 443*u - 438*u + 13 = 2*y, 4*u = -4*y - 100. Let s(k) = 7*k + 35. Let a(l) = 4*l + 18. Let g(b) = -5*a(b) + 3*s(b). Determine g(y).
-1
Let y(p) = 0 + 0*p**2 - 1 + 7*p - p**2 - 7. Let z = 4150 + -4144. Calculate y(z).
-2
Let r(x) be the third derivative of x**6/60 - 143*x**5/60 + 211*x**4/24 - 25*x**3/2 + 255*x**2 + 2*x - 3. What is r(70)?
-5
Suppose 0 = -5*q - 4*h - 12, h - 6 = 4*q + 6*h. Let o(t) = -5*t - 3. Let n(y) = -6*y - 3. Let v(s) = 4*n(s) - 5*o(s). Give v(q).
-1
Let y be (-36*4/80)/((-12)/(-80)). Let d(o) = 6*o + 44. Calculate d(y).
-28
Suppose -36*w - 30 - 41 = 1. Let c(x) = -5*x**3 - 3*x**2 + 4. Calculate c(w).
32
Let v(q) = -q**2 - 20*q + 61. Let i be v(4). Let x = i + 32. Let k(p) be the first derivative of -2*p**3/3 - 2*p**2 + 1. What is k(x)?
-6
Let n(v) = v - 12. Let x = -420 - -424. Suppose 10*s = 7*s - x*h + 15, 4*s = 3*h + 45. Give n(s).
-3
Let d(r) = r**3 + 8*r**2 + 7*r + 3. Let p = -29 + 5. Let i be ((-36)/p)/(11/(-6) + 2). Let t(q) = -q**3 + 9*q**2 - 2*q + 11. Let m be t(i). Calculate d(m).
3
Let u(s) = 7*s**2 + 7*s - 33. Let a(y) = -11*y**2 - 10*y + 50. Let p(o) = 5*a(o) + 8*u(o). Let w be p(-8). Let l(h) = -h**3 - h**2 + h + 1. What is l(w)?
-9
Let w(p) = -2*p + 2. Suppose 7*z = 5*q + 3*z - 30, -8 = q + 2*z. Let x be (-3)/6*-15*q. Let h be (-1)/(x/(-4) - -4). What is w(h)?
10
Suppose -10*k - 28 + 8 = 0. Let b(y) = 9*y - 23. Let v(w) = -w + 6. Let o(i) = -b(i) - 4*v(i). Calculate o(k).
9
Let i(z) be the first derivative of z**2/2 + 57*z + 3732. Give i(12).
69
Let k(r) = -r**2 - 26*r + 12. Let t be k(-26). Suppose -t = 27*n - 23*n. Let z(d) = d**2 - 2*d - 3. Calculate z(n).
12
Let c(z) = -13*z**2 + 1 + z - 2*z - 14 - 2*z**3 + 3 + 10*z**2. Calculate c(-3).
20
Let b be (248/6)/(6/9). Let h = 60 - b. Let v(k) = -k + 6. Let t be v(h). Let c(d) = -d**2 + 6*d + 6. Calculate c(t).
-10
Let s(z) = -z**2 - 2*z - 1. Let y be 168/(-35)*(-10)/(-1). Suppose 2*x - 49 = 37. Let n = x + y. Determine s(n).
-16
Let d(r) = 2*r + 0 - 2 + r. Let l be 215975/(-159) + (-2)/3. Let o = l - -1365. Determine d(o).
16
Let j(x) = 2*x + 3*x**3 + 7*x**3 + 2*x**3 - 2 - 4*x**3 - 31*x**3. Give j(1).
-23
Let j(y) = -y**2 - 2*y - 1. Let p be j(-1). Let a(v) = p*v**3 + 9*v**2 - 19 - 8*v + 17 - 2*v + v**3. What is a(-10)?
-2
Let s(r) be the third derivative of r**5/120 - 23*r**4/24 + 46*r**3 + 3*r**2 - 105. Let q(f) be the first derivative of s(f). Calculate q(13).
-10
Let v(q) = 15*q - 4. Let f = 4600 + -4599. Determine v(f).
11
Suppose 2*a = i - 9124, 36486 = 9*i - 5*i + 2*a. Let x(t) = -10 - 6*t - 8*t**2 + i*t**3 + 14*t - 9123*t**3. Determine x(-9).
-1
Let f(u) = -3*u**2 - 46*u + 13. Let v be f(-17). Let s = v - -61. Let l(i) = i + 17. Calculate l(s).
6
Let g = -196 + 201. Suppose 0 = -2*a - 2*y - 4, g*a = a - 2*y + 2. Let k(z) = 7 - 2 - 6 - z. Calculate k(a).
-4
Let y(b) = -b**3 + 7*b**2 - 7*b + 9. Let l be y(6). Let s = -8 + l. Let h(r) = -6*r**3 + 6*r**2 + 129 + 6*r + 6*r**3 - 128 + r**3. Determine h(s).
-4
Suppose -131*k - 310*k = -4410. Let j(o) = -o**3 + 11*o**2 - 11*o - 19. Calculate j(k).
-29
Let g(w) be the third derivative of w**5/12 + 29*w**4/24 - 20*w**3/3 + w**2 + 11. Let u(x) = -3*x**2 - 15*x + 21. Let z(v) = -4*g(v) - 7*u(v). Give z(10).
3
Let k(d) = -1 + 3 - 3 + 6*d + 4. Let z(m) = 6*m + 2. Let a(w) = 2*k(w) - 3*z(w). Calculate a(-1).
6
Let p(l) = -l**2 + 12*l + 189. Let g be p(21). Let u(m) = 9*m - 4 - 7*m + g. Give u(-2).
-8
Let m = -10 - -21. Let d(a) = m*a + 5*a - 2 + a**2 - 24*a + 7*a. Let c(i) = -i + 15. Let f be c(13). What is d(f)?
0
Suppose 3*a + 117 = -75*m + 70*m, -2*m - a = 46. Let j(y) = 14*y + 298. Calculate j(m).
4
Let v(z) be the second derivative of z**3/6 - 23*z**2/2 + 800*z. Give v(8).
-15
Let r(c) = c - 2. Let f(l) = -19. Let b(h) = 3. Let g(u) = 6*b(u) + f(u). Let z(p) = -3*g(p) + r(p). What is z(10)?
11
Let z = 73 + -74. Let f = 1 - z. Suppose -f*u - 12 = -3*g, -3*u + g = 3*g + 31. Let v(w) = w**2 + 8*w. Calculate v(u).
9
Suppose 5*q + 19 + 31 = 3*l, -q = -3*l + 10. Let j be (1 - q/5) + -5. Let a(v) = -2*v**2 + 2 + v + 3*v + 1. Determine a(j).
-13
Let m(o) = -341 + 57*o - 147*o + 34*o + 51*o + 48*o. Determine m(8).
3
Let a(k) = 4*k + 42. Suppose f = 4*f - h + 30, -2*h - 28 = 2*f. Let w be a(f). Let o(i) = 4*i**2 + 2*i - 2. Determine o(w).
10
Suppose 15*c + 6*c = 17*c + 4. Let a(u) = -15*u + 18. Determine a(c).
3
Suppose 0 = 4*o + 16, -o - 1 = -s - 2*o. Let c(m) = -3*m**2 + m**3 - 83*m + 85*m + 0 + 4. Let y(q) = -q**2 + q - 3. Let w(d) = -c(d) - 3*y(d). Determine w(s).
5
Let j(o) = -o + 3. Let t(v) = -7*v - 13*v + 70 + 25*v. Let h be t(-14). What is j(h)?
3
Let t(p) be the second derivative of p**3/2 + 5*p**2 + p + 239. Determine t(-6).
-8
Let n = -51 + 46. Let g(q) = -3 + 0*q**2 + q**2 + 5 + 0*q - 4*q. Determine g(n).
47
Let o be (5/(-20))/((-3)/84). Suppose 3*l + 12 = 3*z, -2*l + o = 4*z - z. Suppose -z | {
"pile_set_name": "DM Mathematics"
} |
*q, 3*i - 4*q - 13 = 0. Determine h(i).
-6
Let y(t) = t**2 + 205*t + 6 - 3 - 199*t. Determine y(-2).
-5
Let y(u) = 0*u**3 + 6*u**2 + 2*u**3 - 3*u + 2 - 3*u**3. Calculate y(5).
12
Let q(t) = -10*t - 4. Let p(j) = -5*j - 2. Let g(m) = 5*p(m) - 3*q(m). Suppose 0 = l + 5 - 3. What is g(l)?
-8
Let h(k) = 5*k - 2. Let w = 22 + -19. Give h(w).
13
Let h(m) = 2*m + 23*m**2 - 50*m**2 + 12*m**2 + 1. Calculate h(-1).
-16
Let f = 15 - 7. Let s = -3 + f. Let y(i) = i**2 - 5*i - 2. What is y(s)?
-2
Let l be 4/10 + 7/(-5). Let a(z) = -z**2 + 3*z**3 - z**2 - 3*z + 2*z. Calculate a(l).
-4
Let v(h) = 8*h + 5. Let f(a) be the first derivative of -2*a**2 - 3*a + 1. Let p be (16/(-6))/((-2)/3). Let i(t) = p*v(t) + 7*f(t). Give i(1).
3
Let u(x) = 5*x - 1. Let p be u(1). Suppose -p*z - 21 + 2 = 5*t, -2*z - 4*t - 14 = 0. Let a(v) = 0*v + 2*v**2 + 0*v - 1 - 2*v. Determine a(z).
3
Let z(t) = 5*t**2 - 3*t**2 + 0*t**2. Let n(h) = -h**2 - 5*h + 4. Let j be n(-6). Let k be 1*j*(8 - 7). Determine z(k).
8
Let p be 2/(-12) - (-23)/(-6). Let z = p - -6. Let g(a) = a**3 - 5*a**2 + 2*a. What is g(z)?
-8
Let s(i) = -i**3. Let y = 4 + -5. Determine s(y).
1
Let l(j) = j**2 - 7*j + 5. Let i be l(7). Let o(m) = -m**2 + 7*m - 6. Let h be o(6). Let g(r) = -2 - r**2 + 6*r + h*r - 1. Calculate g(i).
2
Let q = 1 + -7. Let b be ((-14)/q - 2)*9. Suppose -g - 8 = -b*g. Let r(v) = v - 7. Give r(g).
-3
Let s be 7 + (-4 - (0 + -4)). Let i(y) = y**3 - 6*y**2 - 7*y + 1. Calculate i(s).
1
Let b(r) = -5*r - 1. Let z be b(-1). Let m(v) = 5*v**2 - v**3 + v + 1 - 4*v**2 + 5*v + z*v**2. Let c be m(6). Let l(k) = 5*k**2 - k. What is l(c)?
4
Suppose 3*n - 5 = 4*n. Let s(d) = -3*d - 1. Determine s(n).
14
Suppose g = 5*g - 8. Let l(x) = -x**2 + 4*x + 1. Calculate l(g).
5
Let n(h) = h + 14. Let d = 14 - 14. Calculate n(d).
14
Suppose -7*x + 24 = -3*x. Let f(z) = -z - 3. Let g(y) = y + 3. Let l(k) = 5*f(k) + 4*g(k). Calculate l(x).
-9
Let n(l) = -l**3 + 6*l**2 + 8*l - 10. Let m be n(7). Let f(c) = 5*c. Let h(d) = 5*d + 1. Let y(q) = m*f(q) + 2*h(q). Calculate y(2).
-8
Let j(k) = k**2 + 5*k + 2. Let a be 6/(-9) + (-20)/15. Let c(q) = -5*q**2 - 25*q - 11. Let y(f) = a*c(f) - 11*j(f). What is y(-4)?
4
Let o(l) = -3*l**2 - 2*l + 2. Let c(z) = 2*z + z**2 - 2*z + 3*z. Let x(t) = -t**2 - 2*t + 1. Let j be x(1). Let d be c(j). Determine o(d).
-6
Suppose 4*n + 2 = 38. Let t = 4 - n. Let r be (t/(-15))/(2/30). Let s(p) = 2*p - 1. What is s(r)?
9
Let x(t) = -14*t**2 + 12*t + 2. Let u(a) = -5*a**2 + 4*a + 1. Let f(g) = -8*u(g) + 3*x(g). Give f(4).
-18
Let y be (-6)/4 + 30/(-12). Let s be y/16 - (-1)/4. Let p(u) = -u**2 + u + 5. Determine p(s).
5
Let o(l) = 8 - 5*l + 5*l + l. Let j = 13 - 13. Suppose n - 21 = 5*n - a, j = -4*n - 5*a + 9. Calculate o(n).
4
Let u(k) = -k + 8 - 5 + 5 + 0*k. Calculate u(6).
2
Let g(x) = -2*x + 2*x**2 - 2*x**3 + 0*x**3 - 10*x**2 + x**3 + 8. Let z be g(-8). Let k(y) = 0*y**3 + z*y - y**3 - 24*y. What is k(-1)?
1
Let a be (-2)/7 + 32/14. Suppose 0 = 3*p + a*p - 5. Let w(d) be the first derivative of -d**4 - d**3/3 - d**2/2 + d + 33. Determine w(p).
-5
Let f(q) = -13*q**2 + 13*q**2 - 4*q**2 + 2. Calculate f(2).
-14
Suppose 3*l = 9 - 0. Suppose -15 = -3*i, -b - b = -2*i. Let z(v) = -b*v - v**3 - 5*v**2 + 3*v**2 + 2*v**3 + 4. What is z(l)?
-2
Let h(c) be the second derivative of c**5/20 - 5*c**4/12 + c**3/3 - 7*c**2/2 - 2*c. Suppose d + 5 = 4*u + 10, -2*d = -2*u - 10. What is h(d)?
3
Suppose 5*u = -0*u - 25. Let w = -8 + 11. Let a(j) = -7*j + 4*j - w*j - j**2 - 1. Calculate a(u).
4
Let m(t) = -t. Let n(y) = 4*y + 2. Let l(i) = 5*m(i) + n(i). Let z(c) = -c + 1. Let x(j) = -4*l(j) + 5*z(j). Determine x(5).
-8
Let a(p) be the second derivative of -p**3/2 - 7*p**2/2 + 4*p. Let t(c) = 2*c + 3. Let n(d) = -4*a(d) - 9*t(d). Let o be (1 - 0)/(-2 + 3). Give n(o).
-5
Let c(g) be the second derivative of -g**4/12 + 7*g**3/6 - 9*g**2/2 + 7*g. Give c(6).
-3
Let b(n) be the second derivative of n**4/24 - n**3/2 - 3*n**2/2 + 3*n. Let o(d) be the first derivative of b(d). Let f = 8 + -4. Calculate o(f).
1
Let r(y) = -y**3 + 2. Let v be 12/(-8) - (-4)/(-8). Calculate r(v).
10
Suppose z = 5*j - 0*z - 10, -3*j - 3*z + 6 = 0. Let g(i) = 2*i + 1. What is g(j)?
5
Let f(r) be the third derivative of -1/8*r**4 + 0 + 3*r**2 + 1/20*r**5 + 0*r - 4/3*r**3. Let s(x) = -x**2 + 2*x + 4. Let l(h) = 2*f(h) + 5*s(h). What is l(-5)?
9
Let h(z) = -z**3 - z**2 + z + 1. Let i(c) = 6*c**3 + 2*c**2 - c - 7. Let m(q) = -5*h(q) - i(q). Calculate m(3).
-10
Let p(v) = -v**2 + 7. Let i(k) = -2*k**2 + k + 15. Let r(g) = -4*i(g) + 9*p(g). Suppose -12 = l + 2*l - 3*q, 0 = -3*l - 3*q - 18. Calculate r(l).
-2
Let z(y) = -2*y**2 - 4*y. Let m be z(-3). Let w be ((-13)/39)/(2/m). Let g(k) = -9*k + 1. Calculate g(w).
-8
Let j(i) = 2*i + 8. Let b(x) = -3*x - 9. Let o(z) = -3*b(z) - 4*j(z). Give o(7).
2
Let b(q) = -2*q - 3. Suppose 6*t - 4*x = 2*t - 12, -10 = 3*t - 2*x. Calculate b(t).
5
Let k(d) = 3*d**2 + 7*d - 13. Let f(a) = 2*a**2 + 4*a - 7. Let t(y) = -5*f(y) + 3*k(y). Give t(3).
-10
Let b(l) = 0 + 3 + 2 + l - l**2. Determine b(4).
-7
Let x be ((-3)/(-1) - 3) + 3. Let w be (9 + -1)/(6/x). Let s(q) = -2*q + 4. Give s(w).
-4
Let p(s) = s**2 - 12*s + 9. Let q be (-6)/4*(-17 + 11). Give p(q).
-18
Let r(k) = k - 5. Let u(s) = -2*s**2 - 23*s - 5. Let j be u(-11). Determine r(j).
1
Let f(k) be the first derivative of k**4/4 + 11*k + 11. Determine f(0).
11
Let h(p) = 3*p + 2. Let v be h(-2). Let a = -2 - v. Let z(x) be the third derivative of -x**4/12 + x**3/6 - x**2. Calculate z(a).
-3
Let q be 57/5 - (-3)/5. Let k be (1 - 5)/((-8)/q). Let x(o) = -o - 3. Determine x(k).
-9
Let q(o) = -o - 5*o**2 + 3*o**3 + 31 - 4*o**3 - 30. What is q(-5)?
6
Suppose 3*d = -0*d. Let y(k) be the first derivative of -k**2 + d*k**2 - 2*k**2 + 2 + k. Calculate y(-1).
7
Let c(w) = w**2 + 6*w + 1. Suppose 49 = -3*l + r, 2*l - 3*r = 5*l + 69. Let d be 10/45 + 94/l. What is c(d)?
-4
Let n(r) = 11*r - 17. Let s(l) = -8 - 3*l + 9 + 7 - 2*l. Let t(m) = 3*n(m) + 7*s(m). What is t(4)?
-3
Let j(z) = -z + 12. Let m be (10 - -2)/(2*1). Give j(m).
6
Let z(l) be the third derivative of -l**5/60 + 5*l**4/24 - 7*l**3/6 + 10*l**2. Suppose -3*b = -2*f + 49, -1 = f + 4*b + 2. Let j = f - 12. Determine z(j).
-7
Let t(r) = -r**2 - r - 2. Suppose -2*f - 35 = -5*l, 7*f - 30 = 12*f - l. What is t(f)?
-22
Suppose -4*w + 4 = -0. Let v(o) be the first derivative of -o**3/3 + o**2/2 + 2. Let x(r) = 7*r**3 + 4*r**2 - 6*r + 1. Let p(c) = -4*v(c) - x(c). What is p(w)?
-6
Suppose 5*s - s = 4*o - 36, -3*o + 5*s + 37 = 0. Let h(u) = u**2 - 3*u + 6. Determine h(o).
10
Let x = -170 + 170. Let l(f) = f**3 - f**2 - f - 32. What is l(x)?
-32
Let l(j) = -j**2 - 3*j - 5. Let c(i) = -2*i**3 - 4*i**2 - i - 2. Let z be c(-3). Suppose -k - z = 5*r - r, 3*k = 2*r - 1. Calculate l(r).
-9
Let d be (1 - 1)/(2 - 0). Let g(b) = -b - 1. Let a be g(-3). Let p(f) = 5*f**2 - 4*f**2 + a*f - f. Determine p(d).
0
Let h be 9/6*(-4)/(-6). Let z(q) = -q + 0*q - h + 2*q. Give z(1).
0
Suppose b + u + 95 = 0, -b - 3*b - 375 = -u. Let f be (-6)/(-27) - b/(-18). Let z(s) = s**3 + 4*s**2 - 7*s - 2. Calculate z(f).
8
Let d(h) = 2*h + 4. Suppose 0 = -3*u - 3 - 9. Let m be d(u). Let i(w) = w**2 + 5*w + 3. Give i(m).
-1
Let f(a) be the first derivative of -a**4/4 + 2*a**3 + 7*a**2/2 - 7*a + 11. Determine f(7).
-7
Let c(o) = -o - 1. Let x = -4 - -7. Let r = x + -7. Calculate c(r).
3
Let b(a) = -a**2 + 8*a. Let j(l) = l**3 + 13*l**2 + 11*l - 5. Let r be j(-12). Give b(r).
7
Suppose 2 - 11 = -3*z. Let l(o) = 0*o**2 + o**z + o**2 - 4*o + 0*o**2 + 3*o**2. What is l(-5)?
-5
Suppose -11 = -3*p + 4. Let f be 3/(2 - p)*3. Let n(i) = -i**2 - 3*i - 4 - 2*i - i. What is n(f)?
5
Let a(y) = 1. Suppose 0 = 3*p - 7*p - 20. Suppose 2*t + 9 - 7 = 0. Let f(j) = -j - 13. Let k(n) = p*a(n) + t*f(n). Calculate k(-4).
4
Suppose 3*t - 3 = 2*t. Let g = 6 - t. Let y(m) = -2 - 4*m**2 + m**3 + 5 + 0*m**g. What is y(3)?
-6
Suppose 0 = 5*s - s + 16. Let o = s - -12. Let x(l) = -l**3 + 9*l**2 - 8*l - 3. What is x(o)?
-3
Let k(l) = -l**2 - 2*l + 1. Let s = -14 + 16. What is k(s)?
-7
Let b = -4 + 7. Suppose 5*o + 2*p - 20 = 0, -b*o - 2*p + 0*p + 16 = 0. Let a be o + -2 + 1 + 2. Let n(w) = -2*w**2 + 5*w - 2. Determine n(a).
-5
Let a = 36 - 39. Let k(s) = -2*s - 2. Calculate k | {
"pile_set_name": "DM Mathematics"
} |
)/x**(-10/9) assuming x is positive.
x**(134/153)
Simplify ((u**(-2/3)/u)**(12/19))**(-20/13) assuming u is positive.
u**(400/247)
Simplify f*f**(4/7)*f*f/(f**(1/25)*f) assuming f is positive.
f**(443/175)
Simplify ((o/o**(2/7))/o)**(-35)*o**(5/2)*o*o*o*o**(-2)/o*o assuming o is positive.
o**(27/2)
Simplify (y**(1/3))**(-1/8) assuming y is positive.
y**(-1/24)
Simplify (o*o**(-1))**7 assuming o is positive.
1
Simplify (y*(y**(1/3)*y)/y)**(-1/18)/((y/(y/y**(-1/7)))/(((y/(y/y**(2/7)*y)*y)/y)/y)) assuming y is positive.
y**(-311/189)
Simplify ((b*b/((b/(b**0/b)*b)/b))/b*b*b**(1/5))**(-3/34) assuming b is positive.
b**(-3/170)
Simplify (u*(u/(u/(u*u**(1/4))*u))/u)/u**(2/61) assuming u is positive.
u**(53/244)
Simplify ((k**0)**(-1/7))**(2/69) assuming k is positive.
1
Simplify (a**4)**(-2/55) assuming a is positive.
a**(-8/55)
Simplify (w*w**0*w)**(-43)/(w**8/(w/(w**(1/13)/w))) assuming w is positive.
w**(-1197/13)
Simplify (m**(-15/7))**(2/77) assuming m is positive.
m**(-30/539)
Simplify (m**(-1/11)/m)**(6/11) assuming m is positive.
m**(-72/121)
Simplify (f/(f*f*f/(f**2/f)))**12 assuming f is positive.
f**(-12)
Simplify a/a**(-10/3)*a**(5/6) assuming a is positive.
a**(31/6)
Simplify i**(-6)*i*i*i*i*i/(i*i/(i**(2/3)/i)*i)*((i/(i*i/(i**3/i)))/i)/i**6 assuming i is positive.
i**(-31/3)
Simplify ((p**2)**(-31))**20 assuming p is positive.
p**(-1240)
Simplify w**(-11)/w*w*w**17 assuming w is positive.
w**6
Simplify (y*y**2)**25/(y**(-8)*y/y**(-2/3)) assuming y is positive.
y**(244/3)
Simplify z**(5/3)*((z**10*z)/z)/z*(z**(2/13))**(-15/4) assuming z is positive.
z**(787/78)
Simplify (n**(-2/7))**(-24/13)*n*n/(n*n**(-2))*n/(n**(-1)*n) assuming n is positive.
n**(412/91)
Simplify (k**(-1))**(-11)/(k*k**1/k)**(-3/37) assuming k is positive.
k**(410/37)
Simplify (u**18)**(4/7) assuming u is positive.
u**(72/7)
Simplify (p**(2/3))**(3/16) assuming p is positive.
p**(1/8)
Simplify (((b**(-2)/b)/b)/b*b)/(b/((b/(b*b/((b/b**(-20))/b)*b*b))/b)) assuming b is positive.
b**11
Simplify (v/(v/(v/((v**(-1/4)/v)/v))*v))**(-2/63)/(v*v**(-5)*v**(1/5)*v) assuming v is positive.
v**(191/70)
Simplify (x**(3/11)/x*x**(-3/11))**(1/25) assuming x is positive.
x**(-1/25)
Simplify (s**(4/5)/(s/s**(-1)))/(s**0)**(-48) assuming s is positive.
s**(-6/5)
Simplify ((z/(z/(z*z**(-2)*z*z*z)))**(-1/8))**(-10/3) assuming z is positive.
z**(5/6)
Simplify (l**(-4)*l*l/l**(-2/31))/(l**(1/9)*l/(l/(l/(l*l/(l/((l*l/l**(-8))/l*l))*l)))) assuming l is positive.
l**(2498/279)
Simplify t/(t*(t*t/t**(1/5))/t)*t*t**18*t*t assuming t is positive.
t**(101/5)
Simplify ((s*(s/s**(5/6)*s)/s)/s)**22 assuming s is positive.
s**(11/3)
Simplify (t*t**(-1/4))**31*(t*t/(t/(t**(-2/11)/t)))/(t*(t*t**(-1/3))/t*t) assuming t is positive.
t**(2825/132)
Simplify (i**8/(i/i**(2/17)))**(5/2) assuming i is positive.
i**(605/34)
Simplify (t**5/t*t)/t**(2/5)*(t*t/t**1)/(t/((t/t**(-6))/t)) assuming t is positive.
t**(53/5)
Simplify w/w**(-6)*w*w**(3/2)/w*w assuming w is positive.
w**(19/2)
Simplify h/h**3*h*(h/((h**9/h)/h))/h*h**(1/12)*h**(-5/2) assuming h is positive.
h**(-125/12)
Simplify (h**(3/8)*h)**(-10/9) assuming h is positive.
h**(-55/36)
Simplify f**7*(f*f**(-7))/f*((f*f/(f/f**(-1)*f))/f*f)/f**0 assuming f is positive.
1/f
Simplify k**(2/11)*k**(-3/8) assuming k is positive.
k**(-17/88)
Simplify ((y*y/y**(1/8))/y*y**(-2/5))**(-10) assuming y is positive.
y**(-19/4)
Simplify ((q/(q**(-1/4)*q*q))**(-5/2))**(-2/55) assuming q is positive.
q**(-3/44)
Simplify (y/y**(2/31))/y**20 assuming y is positive.
y**(-591/31)
Simplify (h**12*h)**(-35) assuming h is positive.
h**(-455)
Simplify (s*s**(2/77)*s)**(2/9) assuming s is positive.
s**(104/231)
Simplify q**(1/2)*q*q*q**(-2/7)*q*(q**1)**(17/4) assuming q is positive.
q**(209/28)
Simplify (u/(u/(u*u*u/(u/u**(2/7)))))**(-1/20)*(u**0)**14 assuming u is positive.
u**(-4/35)
Simplify (d**1)**47 assuming d is positive.
d**47
Simplify (i/(i/(i*i**(-9)*i)))**(-11/3) assuming i is positive.
i**(77/3)
Simplify (g/(g**(8/5)*g)*g*g**(6/7))**23 assuming g is positive.
g**(207/35)
Simplify o**(-2/55)*o**13*o assuming o is positive.
o**(768/55)
Simplify (w*w**(1/4))/(w/(w*w**(1/3))*w) assuming w is positive.
w**(7/12)
Simplify (s*s*s/(s*s**2)*(s*s/((s*s/((s*(s/((s**2/s*s)/s))/s)/s))/s)*s*s)/s)**17 assuming s is positive.
s**17
Simplify (((h**1*h)/h)/h)**(-19)/(h**(-3/4)*h*h*h/(h/h**(3/2))) assuming h is positive.
h**(-11/4)
Simplify (u*u/(u/(u/((u*u*u/((u**(-2/7)*u)/u)*u)/u))*u))/(u**46/u) assuming u is positive.
u**(-331/7)
Simplify (o*o**2*o*o**5)**(1/39) assuming o is positive.
o**(3/13)
Simplify ((d*d**(-1/11))/d)**6 assuming d is positive.
d**(-6/11)
Simplify (k**(-14)*k)/(k*k**(-2/33)*k) assuming k is positive.
k**(-493/33)
Simplify (j*j**(5/6)*j)/(j**(-2/11)*j)*(j**(-7)/j)/(j*j/(j/(j/((j**(-2/19)/j)/j)*j))*j) assuming j is positive.
j**(-15161/1254)
Simplify c**(3/10)*(c/c**(1/32))/c assuming c is positive.
c**(43/160)
Simplify (z**(-4/17)/z)**(-1/36) assuming z is positive.
z**(7/204)
Simplify (h**4*h)/(h**0/h*h) assuming h is positive.
h**5
Simplify x**(-3)*x**(-7/2) assuming x is positive.
x**(-13/2)
Simplify m**(-4/5)/(m/(m*m**(-4)/m*m)) assuming m is positive.
m**(-24/5)
Simplify (x**(-1/6))**34 assuming x is positive.
x**(-17/3)
Simplify ((j/(j*j/j**(-9/7)*j*j))/j)/j*j*j/(j/j**(-5))*j*j assuming j is positive.
j**(-58/7)
Simplify (i**(-1/5)*i**5)**(-4/19) assuming i is positive.
i**(-96/95)
Simplify p**(-18/5)*p**(-6) assuming p is positive.
p**(-48/5)
Simplify (m**(2/3)*m*m*m)**(-46)*(m/(m/(m/m**(-2/11))))**(9/8) assuming m is positive.
m**(-44177/264)
Simplify (q*(q*q**(-4))/q)/(q*q*q**(-6)*q*q*q)*(q*q**(-1/4))/(q/((q/q**(1/6))/q)) assuming q is positive.
q**(-29/12)
Simplify ((k/(k*k/(k*k**9)*k))/k*k**(-6))/((k**(-9)/k)/k**(-1/7)) assuming k is positive.
k**(76/7)
Simplify (q*q**0)**(-8/3)*q**(-2/13)/q**(-2) assuming q is positive.
q**(-32/39)
Simplify (m/m**25)**(-8) assuming m is positive.
m**192
Simplify (p**(-9/7)/p*p/(p*p**(2/7)))**19 assuming p is positive.
p**(-342/7)
Simplify (t*t**18)/(((t/t**(-23))/t)/t) assuming t is positive.
t**(-3)
Simplify v**(1/4)*v**3*v*v*v**(2/7)/v**0 assuming v is positive.
v**(155/28)
Simplify ((l/l**(-17))/l)**(-13) assuming l is positive.
l**(-221)
Simplify (k**(-1/14)*k*k)/k**(2/21) assuming k is positive.
k**(11/6)
Simplify r/(r/r**(-5/3))*r*r/(r**(2/61)*r)*r assuming r is positive.
r**(55/183)
Simplify (o/(o*o**(-1/2))*o)**(-5/4)/((o*o**1*o)/o**(-2/3)) assuming o is positive.
o**(-133/24)
Simplify z**(1/3)/((z**(4/9)/z)/z)*(z**0)**(-28) assuming z is positive.
z**(17/9)
Simplify (q/(q*q**(-6)))/(q**(1/6)*q)*q**5/q**(-7/2) assuming q is positive.
q**(40/3)
Simplify (x**(2/7)/x)**(-1)*x*x*x*x**(2/13)/x*((x**(2/31)/x*x)/x)/x assuming x is positive.
x**(2631/2821)
Simplify ((i**3*i)/(i/((i**(-5)/i)/i)*i))**(-37/5) assuming i is positive.
i**37
Simplify ((k**(-2/3)*k)**(-1))**(3/26) assuming k is positive.
k**(-1/26)
Simplify (((d/d**3)/d)/d*d)/d**11 assuming d is positive.
d**(-14)
Simplify ((h**(-1/2))**(14/9))**(-8) assuming h is positive.
h**(56/9)
Simplify (x**(-2))**5*x/x**(1/9)*x*x/(x*x*x**(2/7)) assuming x is positive.
x**(-592/63)
Simplify h/h**(-4/3)*h*h**(-4)*h**(2/7)/h*h**(-1) assuming h is positive.
h**(-50/21)
Simplify (u/u**3)/(u/(u*u**(-4)))*u**(-4)/u**(-7) assuming u is positive.
u**(-3)
Simplify (n/n**(-1/5)*n)/(n/(n/(n*n**(-3/5)))*n)*n**(1/2)/((n/n**(-4))/n) assuming n is positive.
n**(-27/10)
Simplify (j/(j/(j**(1/4)/j)))**(4/5)*(j*j**(1/2))**(2/7) assuming j is positive.
j**(-6/35)
Simplify (s**(3/10)/(s*s*s/s**(3/2)*s))**(-29) assuming s is positive.
s**(319/5)
Simplify l/l**(-1/13)*l**(-2/11) assuming l is positive.
l**(128/143)
Simplify (t/(t*t**(-2))*t**(-1)*t)/(t**2)**19 assuming t is positive.
t**(-36)
Simplify d**(-2/49)*d*((((d/(d/(d*d**(11/6))))/d)/d)/d)/d assuming d is positive.
d**(-61/294)
Simplify w/w**(-1/30)*w**16 assuming w is positive.
w**(511/30)
Simplify (y*y/(y*y/y**(1/2)))**(-13/2)/((y/y**5)/(((y*y*y*y*y**9*y)/y*y)/y)) assuming y is positive.
y**(55/4)
Simplify ((z/z**(-2/11)*z*z)/z)/(z**(-19)/z) assuming z is positive.
z**(244/11)
Simplify ((x*x**3*x)**(-4))**(1/3) assuming x is positive.
x**(-20/3)
Simplify (l*l**(-1))**(-37)/(l**(-1/11)*l*l*l**(-2/3)/l*l) assuming l is positive.
| {
"pile_set_name": "DM Mathematics"
} |
= -4*i. Let l = i - u. What are the prime factors of l?
3, 13
Let v(w) = -2*w**2 + 3*w. Let y be v(4). Let z be 1 - 2/2*y. Suppose 12 = z*o - 18*o. List the prime factors of o.
2
Let k(v) = v**2 - 14*v + 5. Let x be k(9). Let q = x + 105. List the prime factors of q.
5, 13
List the prime factors of 5 - (8630/(-45) - 2/9).
197
Let v = 123 + -105. Let l(i) = i**3 - 18*i**2 + 40. What are the prime factors of l(v)?
2, 5
Let i = 5 + -5. Suppose l + i = -1. What are the prime factors of 16/((-4)/8 - l)?
2
Let j(u) be the third derivative of 7*u**4/24 + u**3/6 - u**2. Suppose 17*h - 5*h - 60 = 0. What are the prime factors of j(h)?
2, 3
Suppose 4*w = 2*b + 147 - 2649, 6195 = 5*b + 5*w. What are the prime factors of b?
11, 113
Let q(f) = 3*f**2 - f + 1. Let b be q(5). Suppose -b = -2*z + 119. What are the prime factors of z?
5, 19
Let x = 4 + -1. Suppose x*b - 5 = 7. Suppose b*p - 20 - 16 = 0. What are the prime factors of p?
3
Suppose 38*i - 1660 = 34*i. List the prime factors of i.
5, 83
Let i(k) = 3 + k**2 - 2*k**2 + 44*k - 4 - 35*k. Let h = -3 - -7. What are the prime factors of i(h)?
19
Let t = 11 + -9. Let k = 1 + t. Suppose -2*q + 32 = -5*n, -k*q + 138 = 2*q + 2*n. List the prime factors of q.
2, 13
Suppose -1 - 11 = -3*v. Suppose 0 = -5*o + 2*x + 4 + 20, -18 = -2*o - 2*x. What are the prime factors of o - 4 - v*-7?
2, 3, 5
Let t be -1 - (3 - (-4 - 49)). Let b be 1 + (-1 - t/3). Let m = b - 17. List the prime factors of m.
2
Let b = -984 + 3170. List the prime factors of b.
2, 1093
Let g(f) = 225*f + 7. Let b be g(2). Suppose 658 = 5*k - b. List the prime factors of k.
223
Suppose 16 = 3*c + c - h, -3*h = 3*c + 3. Let q be ((-12)/8)/(c/(-6)). Suppose 0 = -2*o + q + 5. List the prime factors of o.
2
Let r(t) = 2*t**2 - 33*t - 24. List the prime factors of r(18).
2, 3, 5
Let m(a) = a**3 + 4*a**2 - 9*a + 20. Let p be m(-6). Let g be ((-2)/6)/(1/(-6)). Let u = p + g. List the prime factors of u.
2
Suppose -9*n = -7*n + 2. Let h = n + 4. Suppose h*q = 77 + 61. What are the prime factors of q?
2, 23
Suppose h + 0*h - 3 = 0, 5*i + 4*h = 6202. What are the prime factors of i?
2, 619
Let v = 55 + -5. Suppose v = q - 27. List the prime factors of q.
7, 11
What are the prime factors of -244*12/96*-114?
3, 19, 61
Let f(q) = q**3 + 3*q**2 - q + 4. Let h be f(-3). Let x be 346/14 - (-2)/h. Let s = x + -9. List the prime factors of s.
2
Let q(g) = -g**3 - 9*g**2 - 9*g - 14. What are the prime factors of q(-11)?
3, 109
Suppose -281 = 2*h + 3*w, -h - 3*h - 551 = -5*w. Let r = -55 - h. What are the prime factors of r?
2, 3, 7
Suppose -408*y = -405*y - 1902. List the prime factors of y.
2, 317
Let k = 53 - 88. Let h be 1/(1/2) - k. Suppose -4*t + 273 - h = 0. List the prime factors of t.
59
Let f be (-5)/(4/(-1 - 3)). Suppose f*y - 180 = 120. What are the prime factors of y?
2, 3, 5
Suppose 4*n = 2*n + 4. Suppose 4*l = n*l - 18. Let o = l - -20. List the prime factors of o.
11
Let n be 2/(-6) + 170/6. Let t(i) = i**2 + 15*i + 16. Let j be t(-14). Suppose -3*c + 2*d + 64 = 0, -2*c + 14 = -j*d - n. What are the prime factors of c?
2, 11
Suppose -u - 28*s = -33*s - 685, -2*u + 4*s + 1364 = 0. List the prime factors of u.
2, 5, 17
Suppose 0 = -3*n + 5*f - 11, 5*n + 2*f = 18 + 5. What are the prime factors of (-114)/(-3) - 9/n?
5, 7
Suppose -4 = -10*x + 8*x. Suppose -a = p - 3*p - 5, -4*p + x = 2*a. Suppose -2*s + 10 = 0, 0*q - s = a*q - 158. List the prime factors of q.
3, 17
Suppose 0*m = 5*a - m + 2797, -4*m - 1132 = 2*a. List the prime factors of 1/(32/40 + 438/a).
2, 7
Suppose -5*i = -3*i - 5*v - 29, -2*v = 3*i - 91. Let b = -14 + i. List the prime factors of b.
13
List the prime factors of ((-1558)/(-57))/((-10)/(-1005)).
41, 67
Let t(p) = p**2 + 111*p + 598. List the prime factors of t(0).
2, 13, 23
Suppose -50*q = -56*q + 4872. What are the prime factors of q?
2, 7, 29
Let b(h) = -2*h**2 - 2*h + 4. Let c be b(11). Let i = c + 442. List the prime factors of i.
2, 7, 13
Let i = -295 - -132. Let t = i + 266. What are the prime factors of t?
103
Suppose d = -3*k + 27 + 211, -5*d + 1164 = 2*k. List the prime factors of d.
2, 29
Suppose -g + 7 = 3. Let q be (2 - g) + 5 - -3. Suppose q*t = -30 + 276. What are the prime factors of t?
41
Let t(m) be the first derivative of -m**3/3 + 8*m**2 + 3*m + 3. List the prime factors of t(11).
2, 29
Let h(a) = -15*a**3 + 2*a**2 + 7*a + 73. List the prime factors of h(-7).
23, 229
Let g = 2176 - -153. What are the prime factors of g?
17, 137
Let h be ((-5)/(-25))/((-3)/(-15)). What are the prime factors of h + (-2 - -7*3)?
2, 5
Let m be (-3 + (3 - -1))/1. Let i = m - -1. Suppose 3*a + d + d = 61, -5*a + 99 = i*d. List the prime factors of a.
19
Suppose 2*y = 5*j - 6890, -4*y - 5524 = 6*j - 10*j. What are the prime factors of j?
2, 43
Suppose -24261 - 25047 = -12*l. List the prime factors of l.
7, 587
Let u(w) = -w**3 - 5*w**2 - 4*w + 13. Suppose 0 = j + 3*j + 24. What are the prime factors of u(j)?
73
Let o = -1027 + 1771. List the prime factors of o.
2, 3, 31
Suppose 0 = -r + 5*r, 0 = 4*s - r + 12. What are the prime factors of s/(4 + (-1 - 2))*-19?
3, 19
Suppose w + w - 162 = -2*l, -5*w - 3*l + 403 = 0. Suppose 4*x = -1 + 1. Suppose 5*j - w - 80 = x. List the prime factors of j.
2
Let g(t) = t**3 - 13*t**2 + 12*t - 9. Let w(y) = y**2 - 2*y. Let u(k) = -g(k) - 3*w(k). Let r be -1 - ((-1 - -1) + -10). List the prime factors of u(r).
2, 3
Let w = 94 + -65. Suppose 27*z = w*z - 114. List the prime factors of z.
3, 19
Suppose 0 = -50*n - 19952 + 67002. What are the prime factors of n?
941
Suppose -30 = 3*b - 4*y, 4*b + 2*y + 50 = 10. Let l be 7/((-9)/b + -1). What are the prime factors of 15/(-10)*l/3?
5, 7
Let i = -14 - -16. Suppose v + q = i*v - 3, 0 = 4*v + q - 7. What are the prime factors of v?
2
Suppose 7*g - 4139 = 5661. List the prime factors of g.
2, 5, 7
Suppose 11*l + 1065 = 10*l. What are the prime factors of 2/((-436)/l + 20/(-50))?
3, 71
Suppose d = -2*s + 4, 0 = -2*d + 3*s - 2 - 18. Let g be (d - -3)*-4 + 12. What are the prime factors of ((-196)/g + 4)*-8?
2, 3, 11
Suppose 4*t + 36 = t - 3*k, 5*t + 60 = 3*k. Let v = t - 2. Let q = 18 - v. List the prime factors of q.
2
Let l be -2 + 6 + -3 + (3 - 1). Suppose l*i - 188 = i. List the prime factors of i.
2, 47
Let m(s) = s**2 - 4*s + 37. List the prime factors of m(7).
2, 29
Let l(u) = 6*u - 9 - 48*u + 10 + 22. Let v(c) = 105*c - 57. Let s(f) = -12*l(f) - 5*v(f). List the prime factors of s(-3).
2, 3
Suppose -863 = 22*j - 5967. What are the prime factors of j?
2, 29
Let p be 24*((-2)/6 + 1). What are the prime factors of 2/p*4*40?
2, 5
Let b(r) = 53*r**2 + 1. Let w be b(1). Let s = w - 25. List the prime factors of s.
29
Let c = -4496 - -6364. What are the prime factors of c?
2, 467
Suppose 2934 = 2*j - 3*i - 989, 0 = 3*j + 2*i - 5878. What are the prime factors of j?
2, 5, 7
Suppose -14 - 11 = -5*q. Suppose -5*z = -0 - q. Suppose 0 = f + 4*n - z - 1, 3*n = f - 9. What are the prime factors of f?
2, 3
Let z(a) = -a**3 + a**2. Let i be z(0). Let g(l) = 10 - 4*l + 0*l + 6*l - l. List the prime factors of g(i).
2, 5
Suppose 870 = 2*n - 4*x, -2*n = -7*n + 4*x + 2175. List the prime factors of n.
3, 5, 29
Let l = -38 + 102. Let n = l + -56. What are the prime factors of n?
2
Let m = -52 - -74. Suppose w - m = 22. List the prime factors of w.
2, 11
Let g(p) = 15*p + 427. What are the prime factors of g(0)?
7, 61
Suppose 3*s - 2 = -8. Let z(b) = -23*b**3 - b**2 - b. List the prime factors of z(s).
2, 7, 13
Let p(k) = -13*k**3 + 2*k**2 + 9*k - 3. List the prime factors of p(-3).
3, 113
Suppose 50320 = 16*y + y. List the prime factors of y.
2, 5, 37
Let m(u) = -u**3 - 3*u**2 + 6*u + 6. Let t be (-6)/4*-2 + 0. Suppose -t*g - 20 = g. List the prime factors of m(g).
2, 13
Suppose -4*m - 16 = -u + 42, -4*u - m = -164. Suppose -6*r + u = -1104. List the prime factors of r.
191
Let a be ((-6)/(-5 + -1))/(-1 - 0). Let b(i) = 155*i**2 - i + 1. List the prime factors of b(a).
157
Let x(w) = -w**3 + w**2 + w + 1. Let a(z) = -2*z + 3*z + 15*z**2 + z**3 - 3*z - 18*z**2 - 9. Let b(u) = a(u) + 2*x(u). What are the prime factors of b(-4)?
41
Suppose -2*y - 2*y = 4*m - 3212, 0 = -3*m - 2*y + 2409. List the prime factors of m.
11, 73
Let c(b) = -b**2 + 5*b - 2. Let z be c(4). Suppose 0 = -7 | {
"pile_set_name": "DM Mathematics"
} |
(r). Suppose 1040 = z*y - 0*y. What is the tens digit of y?
0
Let p(k) = 9*k**2 - 35*k - 34. What is the units digit of p(7)?
2
Let l = -93 - -94. Suppose -4*x = r + 10, -x - 2 = r - l. Suppose -137 = -0*h - r*h + 5*i, 3*h - 5*i - 208 = 0. What is the units digit of h?
1
Let k(p) = 694*p**2 + 87*p - 457. What is the ten thousands digit of k(5)?
1
Suppose -364160 = 23*g - 454099 - 676053. What is the units digit of g?
4
Suppose -3*b + o = -8, -b - 3*b - 4*o = 0. Suppose k = b - 5, -2*k + 1884 = 5*j. Let s = -223 + j. What is the hundreds digit of s?
1
Let d be 4 + 69/(-18) + (-698)/12. Let v = -52 - d. Suppose v*x = 803 + 211. What is the hundreds digit of x?
1
Let a(d) = -11409*d + 215. What is the hundreds digit of a(-1)?
6
Suppose r - 4523 - 14149 = -5*t, -r + 5*t = -18682. What is the units digit of r?
7
Let q = 30437 + -12923. What is the ten thousands digit of q?
1
Let g(s) = -360*s + 2887. What is the ten thousands digit of g(-23)?
1
Suppose -2*t - 69*c - 24 = -66*c, -4*c - 2 = t. Let n(o) = -9 + 43 - 3*o - 2*o. What is the tens digit of n(t)?
2
Let k(c) = 69 - 52*c + 11*c - 8 + 60. What is the hundreds digit of k(-11)?
5
Suppose 0 = 5*n + 115*y - 113*y - 31773, y - 19063 = -3*n. What is the units digit of n?
3
Suppose 0*i + l = -4*i + 78, 5*i + 3*l = 94. What is the tens digit of ((-136)/(-10))/(i/600)?
0
Let m(y) = -y**2 + 29*y - 4. Suppose 7*f = f - 144. Let d = 3 - f. What is the tens digit of m(d)?
5
Let s be (76/(-6))/((-40)/(-8640)). What is the units digit of (-4)/26 + s/(-39)?
0
Let t(m) be the first derivative of -2*m**5/15 + 7*m**4/12 + m**3/3 + 23. Let y(c) be the third derivative of t(c). What is the units digit of y(-4)?
8
Let b = -1972 + 6403. What is the tens digit of b?
3
Let k(f) = -f**3 + f**2 + 7*f + 5. Let r = -31 - -23. Let u be k(r). What is the units digit of u/20 + (-2)/8?
6
Let r = 14334 + -3946. What is the thousands digit of r?
0
Let j(a) = 7*a**2 + 3*a + 7938. What is the units digit of j(0)?
8
Suppose 4*u - u - 5*s = 1635, 1089 = 2*u - 3*s. Let v = u + -255. What is the hundreds digit of v?
2
Let h(w) = -w**3 + w. Let c(r) = -5*r + 4*r - 6 + 4*r - 5*r**3. Let i(d) = -c(d) + 6*h(d). What is the units digit of i(0)?
6
Suppose 0 = 4*r + r + 3645. Let y = r - -796. What is the tens digit of y?
6
Suppose 136 + 98 = -6*z. Let y be 2 + 1*z + 1 + -3. What is the hundreds digit of (-927)/(-5) + y/(-65)?
1
Let o(i) = i**2 + 10*i + 1. Let w be o(-15). Suppose -93 - w = -x. Let g = -98 + x. What is the tens digit of g?
7
Suppose -1188 = 24*y - 38076. Suppose 5*b - h + 2*h - 2567 = 0, -3*b = -h - y. What is the tens digit of b?
1
Suppose 2*d - 69 - 171 = 0. Suppose -g - 50 = 31. Let q = g + d. What is the tens digit of q?
3
Let c be 1/10 - (-5 + 133674/(-60)). Suppose c = j + 644. What is the thousands digit of j?
1
Let v(x) = 328*x**3 + 2*x**2 - 17*x - 4. Let z(q) = -164*q**3 - q**2 + 9*q + 2. Let p(h) = -6*v(h) - 11*z(h). What is the tens digit of p(-1)?
6
Let c(y) = y**3 - y - 1. Let m = -32 + 31. Let n(u) = 4*u**3 + 9*u**2 + 13*u - 27. Let h(a) = m*n(a) + 5*c(a). What is the tens digit of h(11)?
6
Let x(a) = 2*a - 9. Let d be x(22). Let q be (-15)/(-4)*3 + d/(-140). What is the tens digit of (q + -15)/((-2)/36)?
7
Suppose -91*y + 470497 = -13259. What is the thousands digit of y?
5
Suppose 4*n + 58 = -n - 4*h, -5*n = -h + 48. Let a(y) = y**3 + 11*y**2 - 3*y + 3. What is the tens digit of a(n)?
3
Let s(r) = -917*r**3 + r**2 - 4*r - 5. Let t be s(-1). Let b(o) = -o**3 + 5*o**2 - 4*o. Let y be b(4). Suppose -h - 6*h + t = y. What is the units digit of h?
1
Suppose 0 = 3*x - h - 1611, -4*x + 2159 = -17*h + 12*h. Let w = x - -177. What is the tens digit of w?
1
Suppose -4*s - v + 16 = -2*s, 45 = 5*s + 5*v. Suppose 7 = -s*o - 140. What is the tens digit of (-8)/56 - 948/o?
4
Suppose -c - 3 = 0, 18*q + 3*c = 22*q - 41629. What is the tens digit of q?
0
Let d be 28*82/(-8)*2. Let s = 1067 + d. What is the tens digit of s?
9
Suppose -n = -j - 5683 + 60449, -3*j - 5*n + 164234 = 0. What is the thousands digit of j?
4
Suppose 4 = 2*y - 26. Let c(w) be the first derivative of -w**4/4 + 14*w**3/3 + 17*w**2/2 + 4*w - 204. What is the units digit of c(y)?
4
Let z(x) = 2*x**3 + 16*x**2 + 7*x + 8. Let k be z(-7). Let n = k + -57. Suppose 192 = 3*m - 0*m - 3*a, -a + 3 = n. What is the tens digit of m?
6
Suppose 0 = 4*d - 32, 62275 + 2719 = c - 3*d. What is the tens digit of c?
1
Let x(q) = 15*q + 153. Let h be x(-10). Suppose -4*k - 2*d = -1984, -h*d - 2*d - 2012 = -4*k. What is the tens digit of k?
9
Suppose -5*i - 8187 = -z, -98*z - 4*i + 41109 = -93*z. What is the thousands digit of z?
8
What is the thousands digit of 2 + -6 - (7/(-7))/(6/122556)?
0
Let l(q) be the second derivative of 21*q**5/4 + q**4/6 - 2*q**3/3 + 3*q**2/2 + 56*q. What is the hundreds digit of l(1)?
1
Let h = 47 - 42. Suppose 5*v = -25, 0 = 7*o - h*o + 3*v + 21. Let i(n) = 16*n**2 + n. What is the units digit of i(o)?
1
Suppose 30999 + 16423 = 4*h - 2*q, 2*q = -h + 11863. What is the thousands digit of h?
1
Let l(f) = 52*f + 7. Let w(p) = -26*p - 4. Let t(x) = 3*l(x) + 5*w(x). Let d(z) = -2*z**2 + 11*z + 393. Let g be d(17). What is the tens digit of t(g)?
5
Suppose 0 = -p - 17 + 13. What is the units digit of p - (-6 + 5 - 5)?
2
Let q = 712 + -710. What is the tens digit of (0 - q - 328)*56/(-21)?
8
Let y = -2475 - -3684. Suppose 0 = 3*m + 5*a - y, -5*m + 7*m + 4*a = 808. What is the hundreds digit of m?
3
Let r = 30286 + 6354. What is the hundreds digit of r?
6
Suppose 3*w - 43*p - 50913 = -44*p, 2*p - 84854 = -5*w. What is the thousands digit of w?
6
Let g(q) = q**2 + 36*q + 246. Let x be g(-9). Suppose 2*l = 2*z + 482, x*l + 4*z = 8*l - 1207. What is the units digit of l?
3
Suppose 5*r + 7 = -3*p, 0*p + 2*r + 2 = -p. Let h = p - -210. What is the tens digit of h?
0
Let f be (5/(75/12))/((-2)/(-5)). Let r(j) = -18*j**3 - 3*j**2 + 6*j - 3. Let b be r(f). Let v = -76 - b. What is the units digit of v?
1
Let i(o) = o**2 - 11*o - 2. Let l be i(9). What is the units digit of (-4635)/l*2 + (-1)/(-2)?
4
Let l(k) be the third derivative of 19*k**4/4 - 11*k**3/6 - 4*k**2 + 5. What is the hundreds digit of l(5)?
5
What is the units digit of ((-13773)/2 + 0)*1780/(-1335)?
2
Let d(x) = 7*x**2 + 195*x + 58. What is the hundreds digit of d(-29)?
2
Let p be (-3)/(-4) - 222/296. Suppose p = 98*v - 90*v - 3776. What is the units digit of v?
2
Suppose 4*q - 5*q = z - 25989, 5*q + 4*z - 129949 = 0. What is the thousands digit of q?
5
Suppose 31*d = 188756 + 1420101 - 316622. What is the hundreds digit of d?
6
Let t be 2 - ((-2 - 221) + -6). Let o = t + -226. What is the units digit of o?
5
What is the units digit of (2 + -5)*(-41610)/18?
5
Let n = 83 - 117. Let b be (-153)/n*(1 + 1). Let x(j) = -j**3 + 11*j**2 + 7*j - 17. What is the hundreds digit of x(b)?
2
Suppose -5*w = -5*r - 0 - 15, 4*r + 2*w + 6 = 0. Let b be (r/(-6))/(96/(-18) - -5). What is the units digit of (228 - b)/(6 - 1 - 4)?
9
What is the hundreds digit of (-55 + -2)*(-8470)/(-17 - -28)?
8
Suppose -9*f - 27*f + 202960 = 50*f. What is the units digit of f?
0
Suppose -2*i = -3*a + 44, -4*a - i = 2*i - 70. Suppose -a*r + 14394 - 4778 = 0. What is the units digit of r?
1
Suppose -2*z + 24 = z + 2*h, 4*z - 46 = 2*h. Let n(r) be the third derivative of r**5/60 - r**4/6 - r**3/3 + r**2. What is the units digit of n(z)?
8
Suppose -32*n - 1075845 = -57*n - 60*n. What is the units digit of n?
7
Suppose 34*n = m + 39*n - 112, 0 = -3*m + 3*n + 300. What is the hundreds digit of ((-1398)/(-4))/(m/272)?
9
Let h = -282 + -55. Let o = h + 878. What is the units digit of o?
1
Suppose -36*z + 99790 + 66413 - 32031 = 0. What is the units digit of z?
7
Let y(d) = 20*d**2 - 233*d - 217. What is the tens digit of y(40)?
6
Suppose 30808 = 2*m + 5*d, 6*m + 32*d - 29*d - 92424 = 0. What is the tens digit of m?
0
Let w = -77 + 85. Suppose w*k = 3*k + 25. Suppose k*d - 15 = 0, 0 = -3*o - o - 5*d + 367. What is the tens digit of o?
8
Suppose 1198709 = -117*u + 6879527. What is the ten thousands digit of u?
4
Let o = 16 - 14. Suppose 4*u + o*u - 54 = 0. Suppose -2*v = -3*p + u - 1, 10 = v + 2*p. What is the units digit of v?
2
Let j be (-5 - -4) + 805 + -3. Let x = j - 321. What is the units digit of x?
0
Suppose r - 1741 = -4*m, 4*r = | {
"pile_set_name": "DM Mathematics"
} |
7).
14
Calculate (-4 - -49) + 16 + -6 + -2 + -19.
34
10 + (-47 - (5 - -12 - 33))
-21
Evaluate 112 + -87 - (2 - (-2 - -4)).
25
Calculate 10 + -7 - 16 - 1 - -8.
-6
What is 9 + (7 - 15) + (-4 - -5)?
2
Calculate (-17 - (33 - 37)) + (-5 - 4).
-22
Calculate (13 - 15) + -22 + 4 + -5 + -6.
-31
-2 - (64 + -34 - 16)
-16
What is the value of (-4 + 2 - -14) + (1175 - 1159)?
28
Evaluate (-65 - -63) + -1 + -14 - (-2 - 2).
-13
What is -2 + -6 - (7 + -2 - (2 + -16))?
-27
Calculate 7 + -6 + -11 + 3 + 11.
4
Calculate (-29 - -12) + -10 + 55.
28
What is the value of -484 - -459 - (9 - 2)?
-32
What is 14 + (1 + -1 - -6) + 7?
27
Evaluate 11 - (6 + (4 - 10)).
11
What is the value of (-7 - -2) + 4 + 1 - (-157 + 157)?
0
6 - 29 - -5 - (82 - 69)
-31
Evaluate 3 + 6 - ((-30 - -30) + (2 - 3)).
10
5 - (-1 - (-12 + 2))
-4
What is the value of (4 + 5 - -5) + -18?
-4
What is the value of -4 - (6 - (-8 - -1) - 1)?
-16
(-4 - (7 - (-1 + -7 + 17))) + 6
4
(4 - -14) + 104 + -125
-3
What is the value of (-17 + -34 - -8) + 28?
-15
(9 - -3) + 7 + -3 + -11
5
Calculate (2 - 6 - (-1 + 9)) + 2 + 5.
-5
Evaluate 67 + -54 + -10 + 2.
5
What is the value of -2 - (12 + -3 - (-11 - -9 - -3))?
-10
Calculate -15 - (-2 + -22 + 26).
-17
116 + -110 + (-9 + -4 - 0)
-7
What is 1 + (-6 - (-3 + 2)) + (-23 - -21)?
-6
Evaluate 9 + -4 + 22 + -12.
15
What is (14 - (33 + -18)) + -16?
-17
Evaluate 1 + (-55 + 71 - (2 - -42)).
-27
Evaluate -22 + -106 + 110 + -5 + (-5 - -1).
-27
What is the value of 1 + -8 - (26 + (-1 - (5 - -13)))?
-14
Evaluate -4 - (0 + -10) - -15 - 8.
13
What is -3 + (3 + 9 - (10 + -8))?
7
Evaluate -17 + (6 - (-7 + -10)).
6
Evaluate 0 + (-1 - (-9 + 10)) - (17 + -2).
-17
Calculate -2 - (-3 + (10 + -10 - 5)) - 18.
-12
What is 5 + -6 + -4 + -5 + -2 + 5?
-7
Calculate (3 - -7) + (2 - (5 + 2)).
5
What is the value of 6 + -6 + 1 + -2 + 0 + -6?
-7
Evaluate (45 - 53) + 19 + -1.
10
What is -5 - (-9 - -3 - (-1 + -1)) - -10?
9
Calculate 10 - (29 + 1 - 24 - (0 + -1)).
3
Calculate (-6 - -11) + 0 - -9 - (7 + 0).
7
Evaluate 14 + -27 + 20 + -6.
1
What is (10 - (17 + 0 + -7 + 1)) + 22?
21
What is -5 - (-10 + -7 + -3)?
15
What is the value of -4 + (1 - -3) + (5 - (5 + 3))?
-3
Calculate (-9 - -26) + (-13 - -14) - 53.
-35
What is 0 - -6 - (179 + -189)?
16
What is (-2 + 19 - 3) + 33 + -37?
10
What is (4 - 26) + 23 + 1 + 9?
11
What is the value of (-2 - 28) + 3 + (-36 + 21 - -25)?
-17
Calculate (8 - (-5 - -12)) + -2 + -8.
-9
What is the value of (-2 - 5) + -1 + (-18 - (-6 - 12))?
-8
What is the value of 0 + (-9 - -3 - (8 - 15)) - 4?
-3
What is 12 + -5 + (5 - (1 + -8))?
19
Calculate 2 + (-1 - (7 + -12 - (0 - 3))).
3
What is (4 - 13 - -5) + 4 + (2 - 4)?
-2
-6271 + 6266 + (18 + (-2 - -4) - -1)
16
What is the value of -7 + 7 + -17 + 9?
-8
Evaluate -10 + 7 + 10 + (-7 - 14).
-14
Evaluate 10 + (42 - 50) - ((2 - 3) + 5).
-2
What is the value of (1 - 10) + -3 + 10 + (-24 - -12)?
-14
Calculate -34 + (18 - (30 + -22)).
-24
What is the value of (7 - 14) + -11 + -5 + 9?
-14
-31 + (38 - (-41 + 23))
25
(-1 - 2) + (-9 - (-13 - -1)) + 13
13
Calculate (13 - -5) + -5 + (3 - 5).
11
Calculate (-11 - (4 + -9)) + 7 + -5.
-4
Calculate (-29 - -20) + 4 + 4 + 0.
-1
What is 1 - (7 + -2) - (1584 - 1588)?
0
What is the value of -20 + 8 - (-13 - -7)?
-6
What is the value of -33 + 9 + 22 + -29?
-31
Calculate -58 - (-40 + 0) - -35.
17
Evaluate (28 - (-4 - (15 + -1))) + -13.
33
0 + 11 + (-4 - 36 - -31)
2
6 - (-4 + (-3 - -38))
-25
Evaluate -6 - (-20 + 16) - -11.
9
What is -17 - (-12 - 0 - (0 + (-47 - -27)))?
-25
What is 1 - 3 - (-54 + 61)?
-9
What is the value of 251 + -254 + (8 - (-1 - -2)) - -8?
12
(-16 - -16) + (-1 - 2 - (0 - -3))
-6
Evaluate (14 - 7 - 11) + 9.
5
Evaluate 207 + -200 - (-2 - (-8 - -1 - -2)).
4
Evaluate 14 - (6 + -4 + -3 + 8).
7
What is the value of 2 + 3 + 17 + 4 + -11 + -2?
13
Evaluate 4 - (4 - -19 - (-86 + 78)).
-27
What is (-29 - (13 - 37)) + 1 + -1?
-5
What is (11 - -5) + -1 + -12?
3
What is the value of 7 - (-4 - (4 - 0))?
15
-18 + (25 - 10) - (-3 + 1)
-1
Evaluate 4 - ((-2 - -3) + (-7 - (-1 - 0))).
9
Calculate -8 + 15 + 11 + -6.
12
Calculate (-8 - (3 + -7 + -7)) + 7.
10
-32 - (-117 + 65) - (1 + 12)
7
What is the value of (4 - 6) + (-27 - -10) + 4?
-15
Calculate -55 + 41 - (3 + -32).
15
What is -15 - (6 + -2 + 6 + -3)?
-22
What is the value of 1 - 8 - (-21 + (-12 - -32))?
-6
-2 + (8 - (21 + -10)) + 8
3
What is -13 + -9 + (3 - -25) - (18 + 1)?
-13
What is the value of 2 + 0 + (2 - -1 - (-18 + 11))?
12
Calculate (11 - -4) + (-27 - -10) + 11.
9
Calculate -8 - (-5 - -10 - 2).
-11
-10 + (-7 - (0 + (-22 - -7)))
-2
-17 + 10 + 11 - -13
17
-7 + -10 + 60 + -26
17
-1 + -4 - -7 - (2 + 7) - 6
-13
What is the value of (-8 - -13) + (-3 - 10) + (-35 - -31)?
-12
(5 - (8 + -3)) + 2 - (46 + -51)
7
What is the value of -17 + 51 + -29 + -4 - (1 + 3)?
-3
What is the value of 8 - (-16 - ((-17 - -10 - 7) + 12))?
22
Calculate (1 - 7) + (-6 - -12 - 0).
0
Calculate (-4 - -23) + -63 + 50.
6
0 - (-7 + 16 + -8) - -2
1
Calculate -1 - (16 + -9 - 17).
9
What is the value of -9 - (4 + -7 + 9 + -12)?
-3
What is the value of -12 - (20 + -11 - 23)?
2
What is -2 + 31 + -4 - 16?
9
What is the value of 35 + -7 + -11 + (-9 - -19)?
27
What is ((-4 - 2) + -1 - 0) + 11 + -10?
-6
-17 + (21 - (-17 - -28))
-7
Calculate -4 - (-16 + 5) - ((-4 - -18) + -6).
-1
(4 - 9) + 5 - 1 - 3 - -13
9
10 + (-1 - 3 - (97 + -89))
-2
(-5 + -6 - -12 - (2 + -1)) + -4
-4
22 + -4 + (-59 - -23)
-18
What is the value of 2 - ((6 - 1) + -10) - 2 - 10?
-5
Calculate (3 - 8) + -7 + -1.
-13
What is the value of (3 - 42) + (41 - (33 - -3))?
-34
20 - (15 + 16 + -7)
-4
Calculate -260 + 264 - (0 - -18).
-14
What is 18 - 13 - (8 - 3)?
0
What is (-10 - (-12 - -12)) + 15 + 4?
9
6 - 19 - ((26 - 13) + -20)
-6
-1 + 1 - ((12 - 18) + 8)
-2
What is the value of (-4 + 0 + (12 - 0) - 4) + 31?
35
What is the value of (-13 - (12 + -53 + 10)) + -1?
17
(7 - 9) + 0 + 8 + 5 - 6
5
What is 3 + -4 + 15 + (-2 - -3) + -5?
10
2 + (-15 - (-13 - -9))
-9
What is the value of 4 - (9 + (-14 - -16))?
-7
-12 + 1 - (10 - 17 - 1)
-3
Evaluate (-14 + 1 - 0) + (36 - (-41 + 72)).
-8
Evaluate (13 - (26 - 1)) + 6.
-6
(18 - 12) + (12 - 0 - 22)
-4
-2 + 5 + -22 + 0
-19
Calculate -23 + 40 + (-22 - -16).
11
1 + -10 + 5 + 0 + 5 - 13
-12
What is the value of 15 + -3 + 14 + (-17 - 5)?
4
What is 17 + (10 - 36 - -11)?
2
0 + (-1 - 4) - (5 + 9)
-19
Evaluate 1 - 8 - (-15 - (-8 + 22 + -25)).
-3
What is 8 + -7 + -9 - -11?
3
What is -24 - (-16 - (-1 - -8) - -7)?
-8
Calculate 6 + 0 + -16 - (-16 - -8).
-2
(-26 - -17) + 13 + 2 + -3
3
Calculate 2 + 2 - (-1 + 19) - -15.
1
Calculate -22 + 15 - -15 - 22.
-14
Calculate (-30 - -35 - 3) + -7 + 1.
-4
Calculate 9 + -1 + (-61 - -75 - (24 - 2)).
0
Evaluate (23 - (0 + 19)) + -22.
-18
What is (-13 - (-15 + 3)) + 1 + -9?
-9
Evaluate -1 - 41 - (-25 - (31 - 53)).
-39
Evaluate 6 - (-6 - -2 - -18).
-8
What is the value of (1 - 0) + -14 - (108 - 109) - 8?
-20
What is the value of 12 - ((7 - 3) + -37 + 35)?
10
Calculate -2 - (-17 + (9 - 4) + -3).
13
Evaluate (-1 - (2 - 15)) + 1 + -12.
1
Calculate (-21 - -2) + (9 - ((14 - 2) + -3)).
-19
Calculate (-100 - -50) + -30 + 41.
-39
What is -8 + (-4 - -11) + (-14 - (-12 - -3))?
-6
27 - ((-43 - -17) + 40)
13
What is -1 + 12 + -52 + 33?
-8
Evaluate (2 - 25) + (-119 - -147).
5
What is -16 + (-11 - -9 - 8) + 17?
-9
(239 - 237) + -2 + -12
-12
-4 - (15 - (-1 - -8) - -7 - 6)
-13
(-2 - (-18 - -6)) + -4 + 10
16
Evaluate -3 + -10 - -10 - (12 - -18).
-33
Calculate -8 + (26 - (12 + 6)).
0
What is the value of 0 + 4 + (15 - (24 + 0))?
-5
Evaluate -6 + (13 - -2) + -5 + -1 + 11.
14
Calculate 17 + 5 + -26 + -6.
-10
What is 5 + -1 - (-3 + -1 + 6) - 3?
-1
What is the value of 5 + (12 - (7 + 10)) + 18 + 5?
23
Evaluate 184 + -162 - (7 + (1 - 3)).
17
Evaluate 4 + (79 + -61 - (3 + -2)).
21
What is the value of -13 + -18 + 13 + 8 + -11?
-21
What is 0 + (27 - 33) - 14?
-20
20 - ((-20 - 9) + 70)
-21
(-7 + 7 - -9 - -1) + -36
-26
What is (-17 - 7) + (5 - (-12 - -4))?
-11
What is the value of (27 + -14 + -1 - 18) + -6?
-12
Evaluate -2 - -16 - (-122 + 146).
-10
What is the value of (3 - -1) + (16 - (-22 - -39))?
3
Calculate 3 + (10 - (-3 + 6)) + -13.
-3
What is the value of 16 + (-1 - 0) + (4 - (74 - 65))?
10
Calculate -5 + (-2 - -11) + -8 + -2.
-6
What is (-6 - -1) + 81 + -91?
-15
-10 + 1 + (38 - 39)
-10
-23 + (17 - | {
"pile_set_name": "DM Mathematics"
} |
-64 + 106. Let c = 51 - y. Solve 2*j - c = 5*j for j.
-3
Let w = 130 - 90. Let h be 1/((4 + -9)/w). Let a be ((-1)/(-2))/(h/(-96)). Solve -2 = 4*x - a for x.
1
Let q(l) = l**3 + 11*l**2 + 8*l - 13. Let t be q(-10). Let z = 4 + -5. Let h = t + z. Solve -4*a + a + h = 0 for a.
2
Let s = 0 + -5. Let z = 8 + s. Solve i = -1 - z for i.
-4
Let q(u) be the third derivative of u**4/6 + u**2. Let a be q(-3). Let w = a + 24. Solve 7*x - w = 4*x for x.
4
Let v = 68 + -72. Let p be (-2)/v*(37 + 3). Solve 3*m + p = -2*m for m.
-4
Let t be 48/(-5 + (-3 - -7)). Let l be (t/30)/(64/(-20) + 3). Solve l + 2 = 2*z for z.
5
Suppose 4*k - 3*f = -1, -4*f + 5*f - 3 = 0. Suppose 30 = k*b + 14. Solve 2 = -3*l + b for l.
2
Suppose -150 = -3*g - 4*h + 8*h, h + 49 = g. Let c = -42 + g. Solve -c*i - 25 = i for i.
-5
Let d be (0/(-22))/((-2)/2). Suppose 3*c + 0 = 6. Suppose c*f + 2 = -2*r - 0*r, r - 8 = -4*f. Solve d = -f*x - x - 20 for x.
-5
Let m(h) = -3*h + 11. Let i be m(2). Suppose 4*j - 16 = -3*y - y, -i = 5*j. Let x be (-5 + 5)/(0 - 1). Solve x = y*t - 4 - 21 for t.
5
Suppose 3*k = -2*r - 2*r - 3, -k = -r - 6. Let c(z) = z**2 - 3*z + 4. Let d be c(k). Solve 0*i + 20 = -d*i for i.
-5
Let l = -22 - -10. Let b = l + 12. Solve b = n - 2 - 1 for n.
3
Suppose 6*g + 5*r - 2 = 2*g, -3*r = -5*g + 21. Solve -g*t + 10 - 7 = 0 for t.
1
Let f(s) = -s**3 - 5*s**2 - s - 2. Let k be f(-5). Let c(d) = -30*d - 117. Let x be c(-4). Solve -x = -k*r + 6*r for r.
-1
Suppose v = 5*n - 5, -13 = 5*v + 2*n - 15. Solve 0 = -17*r - v for r.
0
Suppose 0 = 2*q + 2, 0 = 5*g - 5*q - 5. Suppose -p = 3*k + p, -2*k - 2*p = g. Solve u + 3 = -k*u for u.
-3
Let w(l) = l**3 - 13*l**2 + 13*l - 1. Suppose 0 = -6*q + q + 60. Let x be w(q). Let b = -16 + 21. Solve -4*r - x = b for r.
-4
Let u = 5 - 4. Let g(s) = -48 + 94 - 53 + 4*s**2 - 7*s + s**3. Let h be g(-5). Solve 4*q + u = h*q for q.
-1
Let v = 49 + -74. Let u = 25 + v. Solve -h + 5 + 0 = u for h.
5
Suppose -f - 206 + 80 = 0. Let j = 130 + f. Solve 15*n - 19*n + j = 0 for n.
1
Let s be -1 + 4 - 333/(-37). Solve -3*c + 9 = -s*c for c.
-1
Let a be 8*1*27/(27/14). Solve 0 = -8*m - 104 + a for m.
1
Let l = 9 - -3. Let r(j) = -j**3 - 8*j**2 + 6*j - 7. Let k be r(-9). Suppose 6*w - w - 23 = 4*b, -4*w + 4*b = -k. Solve -l = w*i - 0*i for i.
-4
Suppose 11*z = -160 - 236. Let b be z/30*(-40)/12. Solve b*x - 3 = 1 for x.
1
Suppose -4*c + 6*c = 4*d + 16, 3*c = 12. Let s be 1/(6/2 + d). Let w(m) = 2*m**3 - m**2 + 1. Let t be w(s). Solve 0 = t*j - 5*j + 3 for j.
1
Let m(c) = c**2 - 4*c. Let v be m(5). Suppose -2*x + v*x - 21 = 0. Suppose -x*d = -2*d. Solve -3*g - 1 + 4 = d for g.
1
Let y = 72 + -72. Solve y*g - 8 = 2*g for g.
-4
Let z be 10/(-2) - 180/(-18). Let b be 13/z - 2/(-5). Solve -b*u - 8 = -2 for u.
-2
Let a(g) = 4 + g**2 + 2*g**3 - 6*g - g**3 + 6*g. Let f be a(-2). Solve f = -w + 5*w - 16 for w.
4
Suppose 4*h = 2*t - 6*t + 12, 5*t = -3*h + 9. Solve t = -3*y - 2 + 8 for y.
2
Suppose 14 = 2*t + 3*f - 6*f, 0 = -3*t - 3*f + 6. Let v be (-46)/(-4) - 3/2. Suppose -6*b = 5*n - 2*b - 11, 2*b + 5 = n. Solve n*z + v = t for z.
-2
Let j(p) = p**3 + 12*p**2 + 10*p - 6. Let x be j(-11). Let i(y) = 46*y + 4. Let k be i(-4). Let u be ((-4)/x)/(8/k). Solve 0 = -5*a - 2 - u for a.
-4
Let q be (10/6)/(20/24). Let p(g) = 6*g + 2. Let j be p(q). Suppose j = l + 7. Solve -4*w = -l - 9 for w.
4
Let i(m) = m**2 + 5*m - 3. Let g be i(-6). Let f = 8 + 32. Suppose -2*j = -4*j + f. Solve -g*c - 2*c = j for c.
-4
Let c be (-6)/(-4)*(-240)/(-45). Solve c*h = 3*h + 8*h for h.
0
Let r = 701 + -695. Solve 12*m - 42 = -r for m.
3
Let g = -8 + 12. Suppose 2*r = -2*t + r + 26, 5*r = g*t - 80. Let l = t - 15. Solve 10 = -2*o - l*o for o.
-5
Suppose 5*p = 2*p. Let n be (p/3)/(2/(-1)). Solve n = -6*b + b for b.
0
Let h(a) = -a**3 + 18*a**2 + 3*a - 49. Let f be h(18). Solve -f*s - 11 = 9 for s.
-4
Let x = -2 - -16. Suppose 3*z = -x + 20. Solve z*m + 12 = 2 for m.
-5
Suppose 6 = -2*w - 5*s + 7*s, -3*w + 15 = 3*s. Solve -9 = -2*n + w for n.
5
Let u be (6 - 1 - 1)/((-4)/(-8)). Solve 0 = -3*q + q + u for q.
4
Let j = 13 - 11. Let i = 3 + j. Let g = -1 + i. Solve -12 + 4 = -g*q for q.
2
Suppose 67*p = 23*p + 484. Solve -2*a = -p + 21 for a.
-5
Let r = -56 - -62. Let x be -2 - (-3)/((-3)/(-2)). Solve r = -x*l - 3*l for l.
-2
Let v be 94/6 + 28/21. Solve 21*c + 8 = v*c for c.
-2
Let d = -8 - -27. Let x = -14 + d. Suppose -v + x*v - 12 = 0. Solve 0 = -v*g + g - 2 for g.
-1
Let k = 169 + -164. Solve 0 = 2*s - 7*s + k for s.
1
Suppose 13*o = 16*o - 12. Solve -5 = 3*c + o for c.
-3
Let y(p) = p**2 - 14*p + 16. Let b be y(13). Let l be (-19)/(-7) - 4/(-14). Let n = 1 + l. Solve n*v - 11 + b = 0 for v.
2
Suppose 6*z - 4*z - 3*t + 225 = 0, -5*z - 4*t - 528 = 0. Let b = 108 + z. Suppose 0*k + 3*k = 0. Solve -q - 3 + k = b for q.
-3
Suppose 0 = 19*q - 18*q - 24. Suppose -2*j + q = -s, 2*j - 3*s + 1 = 21. Solve j + 2 = -3*x for x.
-5
Let o be 1/((1 + -2)/(-22)). Let g = o - 12. Solve -5*s = -g + 25 for s.
-3
Suppose -5*u + 15 = 4*z - 42, -5*z + 33 = 2*u. Let s(o) = 37*o - 44*o - 4 + o**2 - 10. Let f be s(u). Solve 0 + f = 4*i for i.
1
Let o be -4*5/(-15) + (-56)/6 + 8. Let s be 2/3 + 2/6. Solve z = -o*z + s for z.
1
Let v be 22/5 - 3/15*2. Let h(i) = i**3 - 5*i**2 - 7*i + 6. Let x be h(6). Suppose x = c + v*c. Solve -3*k + 6*k - 15 = c for k.
5
Let d be (24/(-3) + 2)/(-1). Let q = -4 + d. Suppose 0 = 2*n - 4 + q. Solve -n = u + 2 for u.
-3
Let q(v) be the first derivative of 2*v**3/3 + 5*v**2/2 + 4*v - 17. Let k be q(-2). Solve -2*w = k*w + 4 for w.
-1
Let i = -17 - -22. Let n be -1 + -2 + i + 7. Let q = -1 + n. Solve q*p + 15 = 3*p for p.
-3
Let k = -8 - -13. Suppose 0 = -k*x + 9 - 9. Solve x = -0*t + 4*t for t.
0
Let w(h) = 38*h - 3. Let d be w(1). Solve d = -g + 32 for g.
-3
Let b(z) = -46*z - z**2 - 5 + 21*z + 16*z. Let n be b(-11). Let d = 27 + n. Solve 3*q + d*q + 6 = 0 for q.
-2
Let q = 1 + 15. Suppose -5*w - 3*f = -18, -4*f = 5*w - w - q. Solve -2*x + 1 + w = 0 for x.
2
Suppose -90 = -4*b - 2*z, -3*b - z + 38 = -31. Solve 0 = -b*u + 25*u + 2 for u.
-2
Let o be -3*2*320/(-120). Solve d + o = 15 for d.
-1
Suppose 4*u + 5*r + 4 + 0 = 0, 16 = 5*u + r. Let l(z) = z**3 + 3*z**2 + z + 3. Let a be l(-3). Let s = 0 + a. Solve u*j - j = s for j.
0
Suppose -33*i + 10 = -31*i. Solve i*y + 1 = 6 for y.
1
Let u = -14 + 32. Suppose k - u = -k. Let w be (-33)/(-9) + 0 + 1/3. Solve 5 = w*z - k*z for z.
-1
Let l(o) = -o**2 + 52*o - 530. Let t be l(38). Solve t*y = 25*y + 69 for y.
-3
Let h = 2 - 1. Let i = 114 + -92. Let v be 8/(-3)*(4 + i/(-4)). Solve -v*y + 11 = -h for y.
3
Let t = -14 - -19. Suppose -t*f + 25 = -20. Suppose 5*x + 3*k - f = 0, -4*x + 7*k - 12 = 3*k. Solve x = 7*r - 2*r + 10 for r.
-2
Let l = 0 - 0. Suppose -3*v - 2*v - 10 = 0. Let a be l + v - 18/(-9). Solve a = 2*t + 3 - 1 for t.
-1
Suppose 3*p = -0*p + b + 2, -4*b - 8 = -4*p. Suppose 2 = 3*f + 2*s, 3*s + 2 = -2*f - p*f. Suppose 0 = o - f*o. Solve o = 8*j - 4*j + 20 for j.
-5
Let f(z) = z**3 + 6*z**2 + 4*z. Let c be -5 + 0 + 0 + 0. Let w be f(c). Suppose -4*t = 5*i, -2*t = w*i - 2*i. Solve i*o = o for o.
0
Suppose -26 = -41*c + 15. Solve -17*v + 16*v + c = 0 for v.
1
Let v = -9 + 14. Suppose -v*b + 0*b = -10. Suppose l + 3*w = 1 + 10, l + b*w = 8. Solve -m - 3 = -l*m for m.
3
Suppose 0 = 64*f - 69*f - 105. Let z(n) = -n**3 - 22*n**2 - 21*n + 2. Let c be z(f). Solve 2 - 8 = -c*w for w.
3
Let f = 6 + 1. Suppose 0*t = t + f. Let q = t + 10. Solve -2*o - 3 = -q*o for o.
3
Suppose 3 = -16*j + 19*j. Let p be (3/9)/(3*j/72). Solve d + p = -d for d.
-4
Let u be (40 - -2)/2*9. Let f be (4 - (u/(-6))/(-7))*-10. Solve -3*t = -4*t + f for t.
5
Suppose -25*g + 39 = -86. Solve 11 - 1 = -g*f for f.
-2
Let z = 62 - 104. Let w be (-2)/4 + (-105)/z. Solve -w*a + 9 = a for a.
3
Suppose 275*c - 301*c = -130. Solve -c + 0 = -5*b for b.
1
Let n = 1108 + -1104. Solve 3 = -n*x + 7 for x.
1
Let k(h) be the second derivative of -1/2*h**3 + 0 - 3*h + 0*h**2. Let n be k(-1). Solve m = n*m for m.
0
Let v(k) = k + 5. Let i be v(-8). Let h = 1 + i. Let x be 2 + h + -5 + 7. Solve n = -x*n + 3 for n.
1
Suppose 0 = 9*c + 3585 - 3747. Solve c = 6*v + 48 for v.
-5
Let y = -1 - -6. Let c be (-42)/4*16/(-24). Solve -y*t = -c - 8 for t.
3
Let x = -139 - -143. Let t be 11 + 5/(10/(-4 | {
"pile_set_name": "DM Mathematics"
} |
, -7518?
-10820
What is the next term in -76866, -76864, -76860, -76854, -76846, -76836, -76824?
-76810
What is the next term in -114286, -228535, -342782, -457027, -571270, -685511, -799750?
-913987
What is the next term in 16026877, 16026876, 16026875?
16026874
What comes next: -8606, -17235, -25876, -34523, -43170, -51811?
-60440
What is the next term in -1015, -406, 203, 812?
1421
What is next in -1, 26, 89, 206, 395?
674
What comes next: -135, -173, -213, -255, -299, -345, -393?
-443
What comes next: -39944, -39950, -39958, -39968, -39980, -39994, -40010?
-40028
What comes next: 305830, 305834, 305838, 305842?
305846
What comes next: 42, 95, 138, 165, 170, 147, 90, -7?
-150
What is next in 102, -68, -362, -786, -1346, -2048, -2898, -3902?
-5066
What is next in -57184, -114441, -171696, -228949, -286200, -343449?
-400696
What is the next term in 5092, 5100, 5108, 5116?
5124
What is next in 9193, 36808, 82843, 147298, 230173?
331468
What is the next term in 106, 468, 1070, 1912, 2994, 4316?
5878
What is the next term in 298, 491, 808, 1243, 1790, 2443, 3196?
4043
What is the next term in -60, -449, -1482, -3477, -6752?
-11625
What comes next: 1070, 1371, 1674, 1979, 2286?
2595
What comes next: 1399, 1613, 1969, 2467, 3107, 3889, 4813?
5879
What comes next: 75885, 75880, 75875?
75870
What is next in 54227, 54242, 54261, 54284, 54311, 54342?
54377
What is the next term in -1781, -712, 1063, 3538, 6707, 10564, 15103, 20318?
26203
What is next in 8313, 8304, 8295, 8286, 8277, 8268?
8259
What is the next term in 3221737, 6443477, 9665217, 12886957, 16108697, 19330437?
22552177
What is the next term in -1079775, -1079776, -1079777, -1079778, -1079779, -1079780?
-1079781
What is the next term in 1622, 6488, 14600, 25958, 40562, 58412, 79508?
103850
What is next in 41892, 41890, 41884, 41874, 41860, 41842?
41820
What comes next: -622, -1209, -1796, -2383?
-2970
What is next in -143554, -287124, -430694, -574264, -717834, -861404?
-1004974
What is next in 2058, 7709, 17126, 30309, 47258?
67973
What is next in 59, 281, 861, 1979, 3815, 6549, 10361?
15431
What is the next term in -135145, -135141, -135137, -135133, -135129, -135125?
-135121
What is next in 256, 470, 672, 862?
1040
What is the next term in -16114, -32221, -48328, -64435, -80542?
-96649
What comes next: -133729, -133732, -133737, -133744, -133753, -133764?
-133777
What is next in 16, 0, -48, -128, -240?
-384
What is the next term in -693, -785, -877, -969, -1061, -1153?
-1245
What is next in -1737, -3411, -5045, -6639, -8193, -9707?
-11181
What comes next: -24537, -49073, -73609, -98145, -122681?
-147217
What comes next: -1050, -1063, -1078, -1095, -1114, -1135?
-1158
What comes next: 203238, 203237, 203236, 203235, 203234, 203233?
203232
What is the next term in -2882, -9229, -26460, -60017, -115342, -197877, -313064, -466345?
-663162
What is the next term in -36691, -73390, -110101, -146830, -183583?
-220366
What comes next: -76160, -152300, -228440?
-304580
What comes next: 15040, 30092, 45144, 60196?
75248
What is the next term in -393143, -786285, -1179425, -1572563?
-1965699
What comes next: 57, 232, 609, 1290, 2377, 3972, 6177, 9094?
12825
What is next in 706, 1374, 1982, 2500, 2898?
3146
What is next in 40, 215, 674, 1555, 2996?
5135
What comes next: -71644, -71640, -71634, -71626, -71616, -71604?
-71590
What comes next: 258300, 258308, 258322, 258342?
258368
What comes next: 784875, 1569747, 2354619, 3139491, 3924363, 4709235?
5494107
What comes next: 17455, 17486, 17517?
17548
What is the next term in 737, 1129, 1519, 1907, 2293, 2677, 3059?
3439
What is the next term in -4080, -4071, -4056, -4035, -4008?
-3975
What is next in 1983, 2133, 2283?
2433
What is the next term in 10, 34, 62, 94, 130?
170
What is next in 1008, 1545, 2082?
2619
What comes next: 2368, 2377, 2388, 2401, 2416, 2433, 2452?
2473
What is next in -3036, -24567, -83010, -196821, -384456, -664371, -1055022, -1574865?
-2242356
What comes next: -220, -124, -26, 74, 176, 280?
386
What is the next term in -240, -493, -834, -1293, -1900, -2685, -3678?
-4909
What is next in 714785, 1429567, 2144349, 2859131, 3573913, 4288695?
5003477
What is next in -504, -757, -1010?
-1263
What is next in 10286596, 10286597, 10286598?
10286599
What is the next term in 16505, 132091, 445835, 1056815, 2064109, 3566795?
5663951
What is the next term in -20, -12, 60, 196?
396
What is the next term in 17519, 17490, 17461, 17432, 17403?
17374
What is next in -108, 1, 122, 261, 424?
617
What is next in -24, -80, -212, -456, -848, -1424, -2220, -3272?
-4616
What is next in 155, 398, 801, 1364, 2087, 2970?
4013
What comes next: -4455, -8970, -13485?
-18000
What comes next: 47788, 95574, 143358, 191140?
238920
What is next in -1584523, -1584521, -1584519, -1584517, -1584515, -1584513?
-1584511
What comes next: 32289, 32289, 32291, 32295, 32301?
32309
What is next in 289, 432, 601, 796, 1017, 1264, 1537?
1836
What comes next: 1338, 2528, 3718, 4908, 6098?
7288
What is the next term in 6841, 7540, 8697, 10306, 12361, 14856, 17785?
21142
What is the next term in 452, 1013, 1554, 2063, 2528, 2937, 3278?
3539
What is next in 1914, 7663, 17246, 30663?
47914
What is the next term in 101, 201, 313, 443, 597?
781
What comes next: 381, 411, 441, 471, 501, 531?
561
What is the next term in 15824, 31479, 47124, 62753, 78360?
93939
What comes next: 20202, 40406, 60610, 80814, 101018, 121222?
141426
What is the next term in 1828623, 3657245, 5485867?
7314489
What is the next term in 30224, 60475, 90726?
120977
What is the next term in -51979, -103956, -155933, -207910?
-259887
What comes next: 1202, 2381, 3560?
4739
What is the next term in 21995, 43968, 65929, 87878, 109815, 131740?
153653
What is the next term in -315742, -315745, -315748?
-315751
What is the next term in 135213, 135212, 135211, 135210, 135209?
135208
What is next in 191, 526, 1437, 3212, 6139, 10506?
16601
What comes next: -4573, -9149, -13729, -18313, -22901, -27493?
-32089
What is next in 36200, 36203, 36206?
36209
What is next in -7653, -30612, -68871, -122424, -191265, -275388, -374787?
-489456
What is next in -1370697, -1370693, -1370689?
-1370685
What is next in -6991, -13815, -20639, -27463?
-34287
What comes next: -660298, -660297, -660296?
-660295
What is the next term in 23, 45, 67, 89?
111
What comes next: -4469, -17902, -40277, -71588, -111829, -160994, -219077, -286072?
-361973
What is next in -28545, -28627, -28851, -29289, -30013, -31095, -32607, -34621?
-37209
What is next in -1, -30, -129, -328, -657, -1146, -1825, -2724?
-3873
What is the next term in -3096, -3410, -3724, -4038, -4352, -4666?
-4980
What comes next: -119, -557, -1307, -2381, -3791, -5549, -7667, -10157?
-13031
What comes next: 21777, 43558, 65345, 87138, 108937?
130742
What comes next: 5296, 5810, 6324, 6838, 7352, 7866?
8380
What is the next term in -1079, -875, -323, 751, 2521, 5161, 8845, 13747?
20041
What comes next: 2813, 5596, 8365, 11120, 13861?
16588
What is next in 11686, 23925, 36174, 48439, 60726?
73041
What comes next: -472712, -472736, -472774, -472832, -472916, -473032, -473186, -473384?
-473632
What is next in 6012, 12022, 18032, 24042, 30052?
36062
What comes next: 12637, 25283, 37939, 50611, 63305?
76027
What comes next: -3497, -14016, -31543, -56072, -87597, -126112, -171611, -224088?
-283537
What is next in -201, -484, -911, -1554, -2485, -3776, -5499, -7726?
-10529
What is the next term in -14662, -14714, -14766, -14818?
-14870
What is next in 223, 232, 263, 328, 439, 608?
847
What is next in 49096, 49117, 49140, 49165, 49192, 49221?
49252
What comes next: 7463, 14942, 22409, 29858, 37283, 44678, 52037?
59354
What is the next term in 2004, 4013, 6018, 8019, 10016?
12009
What is the next term in -6221, -12460, -18703, -24950, -31201, -37456?
-43715
What is the next term in 24993, 50012, 75025, 100032, 125033, 150028, 175017?
200000
What is the next term in -201, -751, -1663, -2943, -4597?
-6631
What comes next: -634, -490, -344, -196, -46, 106, 260?
416
What is the next term in -1515, -1508, -1489, -1452, -1391, -1300, -1173, -1004?
-787
What is next in 19852, 79419, 178696, 317683, 496380, 714787, 972904?
1270731
What comes next: 277, 1170, 2665, 4768, 7485?
10822
What is the n | {
"pile_set_name": "DM Mathematics"
} |
98248294929 and -4.618.
-98248294933.618
Calculate -0.532 + 502137044.
502137043.468
Work out -36567220912.49 - -0.032.
-36567220912.458
Subtract -2001 from 20626210.
20628211
Put together -144350554587 and 376.
-144350554211
Calculate -101.7344141029 - -0.1.
-101.6344141029
Subtract -153784 from 730.4111.
154514.4111
Calculate 1 + -27854729918863.
-27854729918862
43+-27213536637
-27213536594
Calculate -52435751687 - -605.
-52435751082
What is 1116.9 plus 154934876?
154935992.9
Put together -514147049 and -3.37.
-514147052.37
What is 1569205256 take away -10.8?
1569205266.8
What is 2445 + -7169371338?
-7169368893
Add together 25879973041182 and 0.1.
25879973041182.1
Total of -7.9779 and 36243746.
36243738.0221
Add together -956442.24 and -1925.
-958367.24
Put together 0.2 and -0.25567433946643.
-0.05567433946643
What is the difference between -26.0009 and -153091630?
153091603.9991
What is the difference between -0.184335714 and 4.751?
4.935335714
Total of -408283643 and 32087.
-408251556
422515+-1182422
-759907
Add together 0.03 and 9997060255567.
9997060255567.03
What is the difference between -61227216957563 and -12?
61227216957551
What is 5 take away 2863201.86731?
-2863196.86731
Add -170.709778 and 467.
296.290222
What is 50433414088941 take away 2?
50433414088939
What is 0.062972 + -4905827?
-4905826.937028
What is 589941106 take away -1.86?
589941107.86
-12.98854102811+-0.5
-13.48854102811
Calculate 10313817 - -3.0699.
10313820.0699
Work out -2717.323616 - -50.
-2667.323616
1.6212815071 + 56.4
58.0212815071
What is -21429561298 less than -8985?
21429552313
What is -9566053 + 0.030898?
-9566052.969102
Put together 0.14 and 2728478957044.
2728478957044.14
21137.4 - 352218.986
-331081.586
Calculate 16.21 - -10828813547.
10828813563.21
Total of -4424017693239 and 16.
-4424017693223
What is 0.4 plus 64844857420349?
64844857420349.4
What is the distance between 66 and 3268593068?
3268593002
Add together -225.1 and -11557534.
-11557759.1
Add -5183093734 and -43.71.
-5183093777.71
Calculate -5055 - 195322178.
-195327233
Calculate -2 + 1654748635.61.
1654748633.61
Work out -4793.276 - 27352732.
-27357525.276
What is the difference between 490532 and -40438?
530970
Subtract 113116689 from 27398.
-113089291
What is 211 + 958810864.3?
958811075.3
13 - -20319.91684
20332.91684
What is 10085844721 plus 176?
10085844897
What is the distance between -1962273 and -68708.237?
1893564.763
837133.8096+0.07
837133.8796
Calculate -289909971 - 3652.
-289913623
Total of -1.3 and -35480335021.
-35480335022.3
Subtract 6 from 968.28291040898.
962.28291040898
-22346+86.27201
-22259.72799
What is 1750 minus 20.35927462?
1729.64072538
Work out -146313495 - 0.22086.
-146313495.22086
What is the distance between -531859.41 and 688622?
1220481.41
What is the difference between 37.97 and -3.03211162?
41.00211162
What is -2080271 less than 11.6529?
2080282.6529
What is -647875935826 minus -0.1?
-647875935825.9
What is 0.04 minus 52.01722730988?
-51.97722730988
Total of 8547 and -5503810896.
-5503802349
Subtract 4148661544 from -8.
-4148661552
Subtract -315881 from 153690.003.
469571.003
-38856.718148 - -0.3
-38856.418148
10954 + 0.2501589511
10954.2501589511
Total of 905412920863 and 5.
905412920868
Total of 220637 and -410.25696.
220226.74304
Work out -0.14240092 - 104220.46.
-104220.60240092
Work out -14780551.555454 - 3.
-14780554.555454
Calculate -62540.323 + 1173.
-61367.323
What is the distance between 0.1 and -4562737099422?
4562737099422.1
-1.3 - -0.038481384617
-1.261518615383
Sum -16581416443 and 6.
-16581416437
Total of -5 and -982517130119.
-982517130124
Add together -866382813 and 76817.
-866305996
Work out 12024826 + 69186.
12094012
Calculate 1367209 + 1389303.
2756512
Subtract 273825816 from -4879.
-273830695
Work out -0.302499 + 2368.83698.
2368.534481
Add 0.011 and 35662527097.
35662527097.011
Subtract -755.96761853 from 3.
758.96761853
50 + -0.100819388539
49.899180611461
Put together 7952 and -10.91580423.
7941.08419577
-70204255.083+-10
-70204265.083
What is 0.0782643128 take away 792?
-791.9217356872
What is the distance between 2011 and 674012271?
674010260
What is -0.44 less than 3455809757687?
3455809757687.44
34293 + 13085944215
13085978508
Put together -19500111 and -6596823.
-26096934
What is the distance between -0.375650858229 and -4?
3.624349141771
Total of 0.5 and 1579160857011.
1579160857011.5
1178219883 - -133
1178220016
What is the difference between -10093 and -475.7100264?
9617.2899736
What is 1571458141.112 take away 5?
1571458136.112
65237+-62.8321109
65174.1678891
Put together -0.01 and 2.10401411.
2.09401411
Total of 1127534118 and -0.3422.
1127534117.6578
Work out -34 - -0.22897924588.
-33.77102075412
What is 151615 + -889002?
-737387
-463791293 + -0.0409
-463791293.0409
Put together -17240 and 4673924.
4656684
Work out -58608.6099571 - 3.
-58611.6099571
Subtract 13233350213 from 0.015.
-13233350212.985
50.2 + 212949018
212949068.2
Calculate 1140866425 + -118154.
1140748271
What is 2138137.2779519 take away -4?
2138141.2779519
Add together -1.85 and -2997847202.
-2997847203.85
-64 - 119299452.9723
-119299516.9723
759.18296+3.86
763.04296
What is the difference between -1 and 9552.747633?
9553.747633
-33130934376 - -403
-33130933973
-0.1 + -2.4670675363
-2.5670675363
-386086410530 - -0.2
-386086410529.8
-10248.9 - -2843091
2832842.1
Add -11.4817 and 0.1248874.
-11.3568126
What is 7787950355 - -39700?
7787990055
What is the distance between 957.8637506 and -2?
959.8637506
What is -19 minus -5875.069346?
5856.069346
What is 5.8 less than -120812.480621?
-120818.280621
What is -129518435 minus 702527?
-130220962
What is 0.2 less than -13360657799.5208?
-13360657799.7208
What is 863 plus -31355601.247?
-31354738.247
Put together 2 and 161265011162.
161265011164
Calculate 65 - 49360952948.
-49360952883
Put together 57542569082005 and -4.
57542569082001
Add 502633441 and -915338.
501718103
Sum 69.2028143106 and -2130.
-2060.7971856894
What is -264863081378 minus 0?
-264863081378
Add 1.52 and -1262453.0995.
-1262451.5795
Subtract 1255216 from -2489.07506.
-1257705.07506
Total of 21158377 and -8.88.
21158368.12
Put together 3421055343182 and 3.7.
3421055343185.7
182.50912 + 6251567
6251749.50912
What is 6786 plus -13.4553263?
6772.5446737
8409279 + 86372
8495651
Add together 0.2 and 2157194724260.
2157194724260.2
-3.04713+2929193840
2929193836.95287
What is the distance between 178189839 and -0.00587?
178189839.00587
What is -0.09 less than 28330081789?
28330081789.09
What is -307 take away 833147656879?
-833147657186
What is the difference between -506 and -50984576693?
50984576187
Put together 6293 and -14773853.1.
-14767560.1
Put together -795049947.60698 and 0.03.
-795049947.57698
What is the difference between 117.1844041 and 171?
53.8155959
What is -3 + 98856162.43186?
98856159.43186
Calculate -0.36 - 62535296791.
-62535296791.36
Calculate -156833331 + -1.08.
-156833332.08
Add 4 and 13849519.72855.
13849523.72855
Calculate -0.2 - -760863873977.
760863873976.8
What is 296100711 plus -1748?
296098963
What is 466 take away 17.68648617005?
448.31351382995
What is the distance between 521 and 565534072?
565533551
What is 215103.2 - -1457036.8?
1672140
What is the distance between 15891237266184 and -0.2?
15891237266184.2
What is -92302786685 plus -0.04?
-92302786685.04
What is 2.9 - 3091124164.1?
-3091124161.2
Put together -18 and 227525923.35.
227525905.35
Work out -453 - -0.1248029719.
-452.8751970281
What is 33483531.388 minus -0.0997?
33483531.4877
Subtract 9415202.104 from 0.0667.
-9415202.0373
Work out -0.5 - -5.6498105999.
5.1498105999
Calculate -488193430.365 - 3.
-488193433.365
What is -1.571219175 minus 1.053?
-2.624219175
What is the distance between 1119.373 and 0.0064?
1119.3666
Add together 5533 and 2227823025.
2227828558
What is 0.0223797 plus -0.2333068?
-0.2109271
What is 4 less than 0.03779273319151?
-3.96220726680849
What is -1073811197 - -293?
-1073810904
Put together 55621 and -2808419145.
-2808363524
Put together -318179 and 103024.996.
-215154.004
-122 - -1.025967472559
-120.974032527441
Calculate -536504374 + 696.8.
-536503677.2
Work out 79.358 + -23893.9052.
-23814.5472
Subtract -327178 from 1783059.
2110237
| {
"pile_set_name": "DM Mathematics"
} |
is prob of picking 2 m, 1 g, and 1 n?
3/1292
Two letters picked without replacement from ttttttottttt. What is prob of picking 2 t?
5/6
Three letters picked without replacement from {z: 5, u: 6, l: 3, n: 3}. What is prob of picking 3 n?
1/680
What is prob of picking 4 s when four letters picked without replacement from suszsszszzusssssusu?
55/646
Three letters picked without replacement from {r: 4, e: 3, q: 11}. Give prob of picking 2 e and 1 q.
11/272
What is prob of picking 2 p and 2 e when four letters picked without replacement from {e: 7, p: 3}?
3/10
Four letters picked without replacement from {l: 2, n: 6, k: 2, r: 2}. What is prob of picking 1 l, 2 n, and 1 k?
4/33
Two letters picked without replacement from zyyzyyyyzz. Give prob of picking 2 y.
1/3
Calculate prob of picking 1 n, 2 t, and 1 j when four letters picked without replacement from {n: 5, t: 4, j: 7}.
3/26
Two letters picked without replacement from {d: 2, e: 3, o: 6, w: 4}. Give prob of picking 1 o and 1 w.
8/35
Four letters picked without replacement from yjyyopyfjyjjyj. Give prob of picking 1 y, 1 f, 1 j, and 1 o.
30/1001
Calculate prob of picking 1 a and 1 j when two letters picked without replacement from {j: 2, a: 7, k: 2}.
14/55
Calculate prob of picking 1 a and 1 z when two letters picked without replacement from aaawwzwa.
1/7
Calculate prob of picking 1 q and 2 m when three letters picked without replacement from {d: 1, l: 7, g: 3, m: 4, q: 2}.
3/170
Two letters picked without replacement from {d: 3, l: 1, q: 8, w: 6, n: 1}. Give prob of picking 1 d and 1 n.
1/57
Four letters picked without replacement from {e: 6}. Give prob of picking 4 e.
1
What is prob of picking 1 c and 3 p when four letters picked without replacement from {c: 2, p: 10}?
16/33
What is prob of picking 2 x and 1 m when three letters picked without replacement from xmlxmlxlmxmxml?
25/182
What is prob of picking 2 h and 1 u when three letters picked without replacement from {i: 1, h: 2, n: 4, e: 5, b: 5, u: 3}?
1/380
What is prob of picking 2 f when two letters picked without replacement from effddfpefefeeeeffe?
7/51
What is prob of picking 1 d and 1 y when two letters picked without replacement from {b: 2, y: 1, v: 1, w: 1, f: 1, d: 1}?
1/21
Calculate prob of picking 1 r and 1 m when two letters picked without replacement from vcrycfmv.
1/28
Four letters picked without replacement from {x: 7, j: 4}. What is prob of picking 4 j?
1/330
Calculate prob of picking 1 x and 1 i when two letters picked without replacement from {w: 1, q: 1, i: 2, p: 1, v: 1, x: 1}.
2/21
Two letters picked without replacement from {r: 2, i: 3, j: 2, u: 5}. What is prob of picking 1 u and 1 i?
5/22
Two letters picked without replacement from {o: 2, j: 2, u: 1, f: 5, k: 4, z: 1}. Give prob of picking 1 f and 1 j.
2/21
Calculate prob of picking 1 a and 2 i when three letters picked without replacement from {i: 2, g: 1, a: 4, e: 2}.
1/21
Two letters picked without replacement from uuuuunuuuuuuu. What is prob of picking 1 u and 1 n?
2/13
Two letters picked without replacement from {l: 2, c: 3, f: 3, u: 6, t: 1}. Give prob of picking 1 t and 1 c.
1/35
Calculate prob of picking 3 o when three letters picked without replacement from {x: 3, o: 4, l: 7}.
1/91
What is prob of picking 3 y when three letters picked without replacement from pyppiiiiypyypiia?
1/140
Three letters picked without replacement from {o: 3, d: 10, f: 2, m: 3}. What is prob of picking 2 m and 1 o?
3/272
Calculate prob of picking 4 x when four letters picked without replacement from abxbbxjjxxxxb.
3/143
Calculate prob of picking 2 p, 1 v, and 1 b when four letters picked without replacement from pbppppupvvpppuvp.
27/364
Calculate prob of picking 1 u and 1 l when two letters picked without replacement from uuuluuullullluuuuuu.
26/57
Calculate prob of picking 1 r and 2 i when three letters picked without replacement from irii.
3/4
Two letters picked without replacement from ycccy. What is prob of picking 2 y?
1/10
Three letters picked without replacement from upmzpszpmupzppphpp. What is prob of picking 3 z?
1/816
Two letters picked without replacement from eeee. Give prob of picking 2 e.
1
Calculate prob of picking 1 f and 1 w when two letters picked without replacement from fwawoow.
1/7
Two letters picked without replacement from qudqqqqauqdxuqqu. What is prob of picking 2 q?
7/30
What is prob of picking 2 b and 1 x when three letters picked without replacement from xnnnbxbxnxnbxxnnxnn?
7/323
What is prob of picking 1 n and 1 e when two letters picked without replacement from snseggsefeensgss?
1/15
What is prob of picking 3 i when three letters picked without replacement from bibkbbbibbbikibb?
1/140
Three letters picked without replacement from ntnnttnnknttnntnnkn. Give prob of picking 1 n, 1 k, and 1 t.
44/323
What is prob of picking 2 y and 2 p when four letters picked without replacement from ppbybyyyybpyb?
9/143
Two letters picked without replacement from {n: 9, y: 3}. Give prob of picking 2 y.
1/22
Calculate prob of picking 2 c and 1 v when three letters picked without replacement from owccsovowtw.
1/165
Calculate prob of picking 1 o and 1 k when two letters picked without replacement from ikiikkjoiikiyykkiiko.
7/95
Three letters picked without replacement from {g: 1, r: 1, t: 1, h: 1, u: 1}. Give prob of picking 1 r, 1 u, and 1 t.
1/10
Two letters picked without replacement from zczzzzzzzzzhzzzhzzzh. Give prob of picking 2 z.
12/19
What is prob of picking 3 l when three letters picked without replacement from ltlutuluu?
1/84
Two letters picked without replacement from {b: 1, k: 11, c: 5}. Give prob of picking 2 k.
55/136
Two letters picked without replacement from {q: 2, d: 3}. What is prob of picking 2 d?
3/10
Three letters picked without replacement from xxxfxxxfxxfxffxxxf. Give prob of picking 1 f and 2 x.
33/68
Two letters picked without replacement from {x: 1, b: 8, p: 8, k: 1}. What is prob of picking 1 x and 1 p?
8/153
Four letters picked without replacement from {e: 3, q: 2, a: 2, v: 1, r: 4}. Give prob of picking 2 e, 1 v, and 1 q.
2/165
Calculate prob of picking 3 v and 1 t when four letters picked without replacement from {v: 2, y: 2, g: 8, t: 2, u: 2}.
0
Two letters picked without replacement from xzzxzpzxxxpx. Give prob of picking 2 p.
1/66
What is prob of picking 1 h and 1 v when two letters picked without replacement from {h: 1, v: 1, b: 1, g: 1, w: 3}?
1/21
Three letters picked without replacement from {t: 8, k: 1, v: 1, b: 1, o: 1}. What is prob of picking 1 o, 1 k, and 1 b?
1/220
Three letters picked without replacement from llllcc. Give prob of picking 2 c and 1 l.
1/5
Three letters picked without replacement from lklnnlkk. What is prob of picking 1 n and 2 k?
3/28
Four letters picked without replacement from {f: 4, s: 4, t: 9}. Give prob of picking 2 t and 2 f.
54/595
Calculate prob of picking 1 d and 1 u when two letters picked without replacement from odoppospudoo.
1/33
What is prob of picking 1 z and 1 h when two letters picked without replacement from gqdhgcgzzgzcdcd?
1/35
Two letters picked without replacement from uuuuuhhh. What is prob of picking 2 u?
5/14
What is prob of picking 2 t when two letters picked without replacement from {y: 1, i: 5, t: 7}?
7/26
Two letters picked without replacement from {c: 1, n: 1, p: 1, f: 1, s: 1}. What is prob of picking 1 c and 1 s?
1/10
Calculate prob of picking 2 d, 1 o, and 1 q when four letters picked without replacement from dddooqoq.
9/35
Two letters picked without replacement from jjjjsnslnjjsjjs. Give prob of picking 2 s.
2/35
Calculate prob of picking 4 m when four letters picked without replacement from {d: 4, m: 15}.
455/1292
Calculate prob of picking 3 a and 1 j when four letters picked without replacement from {j: 4, a: 3}.
4/35
What is prob of picking 2 h when two letters picked without replacement from {k: 1, h: 11}?
5/6
Four letters picked without replacement from {j: 3, o: 9, r: 1, e: 1, a: 1, t: 3}. Give prob of picking 1 e, 2 t, and 1 r.
1/1020
Four letters picked without replacement from kziikzzk. Give prob of picking 1 z and 3 k.
3/70
Calculate prob of picking 1 p, 1 j, 1 z, and 1 m when four letters picked without replacement from {z: 6, p: 1, j: 4, m: 6, q: 1}.
4/85
Three l | {
"pile_set_name": "DM Mathematics"
} |
tive.
c**(1296/47)
Simplify ((m**(-7)/(m/m**(1/3)))/(m**(-1/2))**(-23/2))**(-17) assuming m is positive.
m**(2737/12)
Simplify (g/(g**(-4/5)*g)*g*g**(-20/9))/(g**(-7))**(-12/11) assuming g is positive.
g**(-3989/495)
Simplify h**15/h*h*h**(-13)*(((h**(-6/11)/h)/h)/h*h)/(h*h**(-3)) assuming h is positive.
h**(16/11)
Simplify (a**(1/4)/a**(-3/5))/((a**(-1/7)*a)/a)**(-1/59) assuming a is positive.
a**(7001/8260)
Simplify ((r**(1/7)*r)/(r*r/((r*r*r**6*r*r)/r)))/(r/(r/((r*r/(r*r**(1/18)*r*r)*r)/r)*r)*r**(-6/11)) assuming r is positive.
r**(14891/1386)
Simplify (o*o**4)**(-42)*(o/((o**0*o)/o))**(-1/53) assuming o is positive.
o**(-11131/53)
Simplify (y**3*y)/y*y/(y*y**8*y)*y*((y/(y**(2/7)*y)*y*y)/y)**13 assuming y is positive.
y**(30/7)
Simplify (((w/((w**(2/37)/w)/w)*w)/w)/w)/w*w/w**(-17)*(w/w**(-7))**(-13) assuming w is positive.
w**(-3147/37)
Simplify (u**(-19)*u**(-2/21))/(u*u**4*u)**(-1/44) assuming u is positive.
u**(-8759/462)
Simplify (((b/b**(3/2))/b**(2/7))/(b**1/b)**(-3/8))**(4/7) assuming b is positive.
b**(-22/49)
Simplify (c*c**(-13)*c**(19/3))/(c/(c/(c*((c*c*c*c/(c**(-13)/c))/c)/c))*(c*c**(-1/2)/c)/c) assuming c is positive.
c**(-127/6)
Simplify (b**(-13)/b**(3/10))**(3/4) assuming b is positive.
b**(-399/40)
Simplify (z/(z**(-1)*z))**10*z/(z/((z**23/z)/z)*z)*z**(2/5) assuming z is positive.
z**(152/5)
Simplify q**2*q*(q**(8/7)*q)/q*(q**(-6))**(-10/19) assuming q is positive.
q**(971/133)
Simplify (z**(-2/3)/z*z**(-3)/z*z**1*z*z*(z**(-1/5)*z)/z)**(14/11) assuming z is positive.
z**(-602/165)
Simplify (((l**(-1)*l)/l)/((l*l/l**(-1/20)*l)/l))/(l**(-8/3)*l*(l**1*l)/l) assuming l is positive.
l**(-143/60)
Simplify (i**(2/3))**(-2/155)*(i*i**(-7)*i)**(-2/149) assuming i is positive.
i**(4054/69285)
Simplify f**(-12)*f/(f*f*f/(f*f**(-6))*f)*(f/f**(-1/6))/(f*f**(-10/9)) assuming f is positive.
f**(-337/18)
Simplify (q/(q*q**(-3)*q)*q)/q**(1/11)*(q*q**(-1/6))/q**(-4/3) assuming q is positive.
q**(335/66)
Simplify ((t*t/(t**(-1/4)/t)*t)/(t*t**16))/((t*t**(3/13))/t**(-15)) assuming t is positive.
t**(-1507/52)
Simplify ((r*r**(3/7)/r*r)/r**(1/4))/(r/r**(1/6)*r*(r/r**(-6)*r)/r*r) assuming r is positive.
r**(-727/84)
Simplify ((o*o/o**(-2/37))/o*o)**45*(o**(6/5)/o)**(-44) assuming o is positive.
o**(15472/185)
Simplify (n*n**(2/25)*(n/n**(-12))/n)/(n/(n/((n**(-3/2)*n)/n)))**(1/21) assuming n is positive.
n**(4603/350)
Simplify ((y**0/((y*y/(y/(y/(y**(3/7)/y))))/y))**23)**(1/44) assuming y is positive.
y**(-23/28)
Simplify (z**22*z*z*z**(-2/11))**(-1/5) assuming z is positive.
z**(-262/55)
Simplify ((d**(-1)*d*d**(8/3)*d)/(d**(-3))**42)**(-15) assuming d is positive.
d**(-1945)
Simplify (((z**(-9)/z)/(z**(5/7)*z))/((z*z*z**1)/(z/((z*z**(-1/9))/z))))**(2/29) assuming z is positive.
z**(-1714/1827)
Simplify ((z*z/(z/(z/(z**(-10)/z)*z)))/z**20)/(z**(-2)/z)**(23/2) assuming z is positive.
z**(57/2)
Simplify r**(-15)*r**27*(r*r**(-16))**(-4/5) assuming r is positive.
r**24
Simplify (((g*g**(-3)*g)/g)/g**(8/5)*(g*g**(-2/23))/(g**(-1/7)*g*g))**(4/19) assuming g is positive.
g**(-14632/15295)
Simplify (((m**1)**(-6/7))**(-12/5))**29 assuming m is positive.
m**(2088/35)
Simplify (b**(-4))**32/(b/(b*b/b**(-8))*b)**(-16) assuming b is positive.
b**(-256)
Simplify ((b**0)**(2/9)/(b**(-1))**(-16))**45 assuming b is positive.
b**(-720)
Simplify (p/(p/(p*p/(p*p**(-7)))))/p**7*((p*p*(p*p**4*p)/p)/p)**28 assuming p is positive.
p**169
Simplify (((g/g**(-1))/g)/((g/g**(-14/9))/g))/(g**(-1/4)*g/g**20*g) assuming g is positive.
g**(637/36)
Simplify ((u/(u*u**(-4))*u**(1/17))**(2/17))**(-4/39) assuming u is positive.
u**(-184/3757)
Simplify ((x**30*x)**(1/27))**24 assuming x is positive.
x**(248/9)
Simplify ((f*f**(-2/7))/f**(-3))/(f**(-3)*f)**48 assuming f is positive.
f**(698/7)
Simplify (s/(s*s**(8/7)*s)*s)/(s*((s/(((s/(s/(s*(s*s**(-2/23))/s*s))*s)/s)/s))/s)/s)*(s**(-17)*s)/s**12 assuming s is positive.
s**(-4545/161)
Simplify (w*w/w**(-7/3)*w)/w*w**(3/13)*((w*w**(2/11))/w)/((w/w**(3/28))/w) assuming w is positive.
w**(58295/12012)
Simplify k**(4/3)*k**(11/2)*(k**(-1/16)*k)/k*k*(k**(-2)*k*k)/k assuming k is positive.
k**(325/48)
Simplify ((z/((z/(z/(z/((z/(z*z**(2/29)*z))/z)*z))*z)/z))/z*z)/z**(-11)*z**5/(z*z**(-5)*z) assuming z is positive.
z**(462/29)
Simplify (v/(v**(-22)*v)*v**(-6))/(v**2/(v/(v/(v*v*v*v*v**(-3/17)))*v)) assuming v is positive.
v**(320/17)
Simplify (((o*o**(-11))/o)/((o/(o/o**1))/o*o))/(o**4*o*o**(-1/8)) assuming o is positive.
o**(-135/8)
Simplify w**(-1/16)*w*w**38*w*(w*w**(2/9))**49 assuming w is positive.
w**(14375/144)
Simplify (y**4/y)/y**(-12)*y**13*y**(-12) assuming y is positive.
y**16
Simplify (b**(-6/7))**(-2/11)*(b/b**(1/40))/b*b**0/b assuming b is positive.
b**(-2677/3080)
Simplify ((l/(l*l**(-3/26)*l))/(l/l**8))/(l*l*l/(l/(l*l/(l/(l**(-4/15)*l))))*l*l/l**(-4/21)*l) assuming l is positive.
l**(-2207/2730)
Simplify (p**(-3))**48*(p**(-33)/p)/(p*p**2*p*p) assuming p is positive.
p**(-183)
Simplify ((i**(2/5))**(-38))**23 assuming i is positive.
i**(-1748/5)
Simplify m**(10/11)/(m**(-2/7)/m)*(m**(2/7))**(-38) assuming m is positive.
m**(-667/77)
Simplify (u/(u*u**(7/3)))**35*u**(6/7)/((u/(u*u**(8/5)))/u) assuming u is positive.
u**(-8212/105)
Simplify (((s/s**11)/s)/(s/s**(-4/29)))**(2/127) assuming s is positive.
s**(-704/3683)
Simplify ((k/(k/(k/(k**(22/7)*k*k))))/(k**(-11)/k))**(-30) assuming k is positive.
k**(-1650/7)
Simplify (j**(-27)*j**(-3/4))/(j/(j/(j**(-4/5)*j)))**(-48) assuming j is positive.
j**(-363/20)
Simplify (z*z**23*z*z**(23/2)/z)**31 assuming z is positive.
z**(2201/2)
Simplify (h**(-2/51)*h**(1/4))/(h**(-13)*h/(h/h**(3/2)*h)) assuming h is positive.
h**(2593/204)
Simplify (n/(n/(n*n**(17/4)*n))*(n/(n*n*n**(2/11)))/n)/(n**(-14/5)/n**10) assuming n is positive.
n**(3711/220)
Simplify (i**(-1/20)*i)/((i*i/i**(-3))/i)*i**(-11)*i*i**(-2/29)*i*i*i assuming i is positive.
i**(-5869/580)
Simplify (z**(-1/6)/z**5)/(z**(-5/6)/(z/((z/(z/(z/((z/(z/z**(-6/5)))/z))))/z))) assuming z is positive.
z**(-83/15)
Simplify (c**(-10/3))**(-48)*(c*c/c**(-2/19)*c)/(c**7/c) assuming c is positive.
c**(2985/19)
Simplify (s/s**(-6))**(33/7)/(s*s**(-5))**7 assuming s is positive.
s**61
Simplify ((q**(-16)/q)/q**(-1/6))/(q**(-1)*(q*q**(2/37))/q) assuming q is positive.
q**(-3527/222)
Simplify ((i/i**(-2))**(-3/5)/(i**(1/2)*i**(-2/21)))**46 assuming i is positive.
i**(-10649/105)
Simplify ((p*(p/(p/(p/(p*p**(16/3)*p))*p)*p)/p)/(p*p**8))**(-15) assuming p is positive.
p**230
Simplify x**(-4)*x/(x*x**(-19)*x)*x**(-21)*x*x**(-12)/x assuming x is positive.
x**(-19)
Simplify ((u**15*u)/(u*u**16*u))/(u*u*(u**(4/7)/u)/u)**6 assuming u is positive.
u**(-38/7)
Simplify f*f**(-7/4)*f*f**11*(f**10/f)/((f/f**10)/f*f) assuming f is positive.
f**(117/4)
Simplify ((g**(9/2)/(g/(g**16*g)))**(-22))**(-18) assuming g is positive.
g**8118
Simplify (q**(-6))**2/(q**(3/4))**16 assuming q is positive.
q**(-24)
Simplify ((z**0)**(-32)/((z**(1/5)/z)/(((z*z**(2/3)*z)/z)/z)))**(-34) assuming z is positive.
z**(-748/15)
Simplify ((c**13/((c/c**(1/2))/c*c))**(3/11))**(-3/29) assuming c is positive.
c**(-225/638)
Simplify (r/r**(-1/8)*r**(2/9))/(r**(-2/3))**(-1/2) assuming r is positive.
r**(73/72)
Simplify ((l/(l*l**7))/(l**6/l))/((l/(l*l*l**(-6/7)*l)*l)/l**20) assuming l is positive.
l**(57/7)
Simplify q*q**5*q*q*(q/q**15)/q*q/((q**(2/21)*q)/q*q)*q*(q*q/q**(-15)*q)/q*q assuming q is positive.
q**(250/21)
Simplify i**15/(i*i**(3/5)*i)*i*i**(-25)*i*i/(i*i/(i*i*i**(10/3)*i*i*i)*i) assuming i is positive.
i**(-64/15)
Simplify ((d*d**1)/d*d/(d**(-10/11)/d)*d)/(d**(-11/5)/(d*d*d/(d*d**29))) assuming d is positive.
d**(-1094/55)
Simplify (r*r/(r*r*r**(1/5))*r*r*r**21*r)/((r*(r*(r**(9/2)/r*r)/r)/r)/r**(-21)) assuming r is positive.
r**(-17/10)
Simplify ((((((g/g**(-18))/g)/g)/g)/(g**(-1/14)*g))**(-1/18))**31 assuming g is positive.
g**(-6541/252)
Simplify (f/(f*f/f**(-11)))**(-8/15)/((f*f**(-1/5))/f**(-15/7)) assuming f is positive.
f**(121/35)
Simplify ((s/(s/(s/(s*s**2))))**(1/7)/(s**(-5)/s*s*s/(s**(1/6)/s*s)))**(-7/5) assuming s is positive.
s**(-163/30)
Simplify a**(6/11)/(a**(-3)*a)*(a**(-3))**(4/11) assuming a is positive.
a**(16/11)
Simplify (v/v**(-19))**(-19/2)*v/((v/v**(-12))/v)*v**(7/8) assuming v is positive.
v**(-1601/8)
Simplify v**(-6)*v**1*(v**12)**(-10/7) a | {
"pile_set_name": "DM Mathematics"
} |
. Let x be 1 - (-5)/(2685/(-528)). Is z bigger than x?
False
Let w = 5 - 3. Let j(x) = -17*x - 1. Let m be j(-4). Which is smaller: m or w?
w
Let o be 8/(-28) - (-204)/721. Let i = -5/37173903 - 56355503563/991688210331. Let h = i - o. Is h less than 0?
True
Let l be (-12)/(-4)*((-4)/9 + 35/45). Which is greater: l or -1/41?
l
Let p be (-1 - (4 + -4 - 3))*-6. Let i be p/(-9)*1/3. Let m be (-3)/((-9)/(-2)) + 0. Are i and m unequal?
True
Let i = -79/13 - -12074/1989. Let w = 469 - 470. Which is smaller: w or i?
w
Suppose 2*k - 12 = 6*k, -4*k = -3*o + 6. Let i be 4 + 0 + 3 + o. Let w be 6 - 15/i - 15. Which is greater: -11 or w?
-11
Let p = -1151/2 - -565. Let a be 7/14 + ((-171)/(-6) - -1). Suppose -5*r = -5*t + t + a, 0 = 3*r - 3*t + 15. Which is smaller: r or p?
p
Let v(m) be the second derivative of m**4/6 - m**3 + 2*m**2 - 88*m. Let h be v(2). Let i = -5/22 - -12/77. Is h >= i?
True
Let m be (-50)/(-22) + -2 + 0. Let a(l) = -l**3 + 3*l**2 + 5*l - 4. Let b be a(4). Suppose b*c + 9*c = 0. Which is bigger: m or c?
m
Let k = -82.6 - -60. Let d = k + 23.6. Which is smaller: -5/8 or d?
-5/8
Suppose -2*v - 629 + 188 = 1961. Which is bigger: v or -1200?
-1200
Let g be (18/(-32))/((-192)/(-256)) + 7/4. Is g at least 848?
False
Suppose 15882 = 2*z - 0*z. Let m = -1629681864271/1059 + 4616638682/3. Let n = m + z. Which is smaller: n or 1?
n
Let q be ((-8)/6 - (-5)/15)*-4. Suppose q*b + 32 = 8*b. Suppose -b = j + 9. Is -16 greater than or equal to j?
True
Let k = -199/20 + 39/4. Suppose -59*t - 7 = -3*t - 63. Which is bigger: k or t?
t
Let c(p) = p - 2. Let h(n) = -3*n + 16. Let m(r) = -2*c(r) - h(r). Let d be m(11). Let i be ((-6)/(-32))/((-2)/(-4)). Which is smaller: i or d?
d
Let o = 272.4 - 318. Let p = 79 + -34. Let z = o + p. Which is smaller: 2/13 or z?
z
Let u(g) = -536*g - 1. Let n be u(1). Suppose 415 = 5*l - 5*a + 3190, -20*a = -3*l - 1988. Which is smaller: l or n?
n
Let w = -37 + 24. Let a = -71 - -59. Which is greater: a or w?
a
Let b = -2098 - -772. Let s be (-1139)/b + 4/(-6). Does 1 = s?
False
Suppose -207 = -19*b - 4*b. Let v be 1 + 26 + b + 0 + 1. Let o(c) = -c**3 + c**2 - c + 39. Let j be o(0). Which is smaller: v or j?
v
Let b be ((-3)/4)/((-2)/(-8))*-1. Suppose b = 3*s + c, 0*c + 2*c = -2*s + 6. Let n be (s + 10)/5 - 2. Which is bigger: -3/35 or n?
n
Let d = 976 - 972. Let x be 232/(-2175)*(-6)/d. Is 1 < x?
False
Let w = -0.07 + 0.16. Let q = w - 47.09. Let d = -48 - q. Is d > -65?
True
Suppose -10*m - 31 = -1. Let r be -3 + (8/28)/(m/(-21)). Which is bigger: -2 or r?
r
Let d = 20.96 - 20.76. Which is smaller: 73/7 or d?
d
Let b(g) = g**3 + 3*g**2 - 12*g - 7. Let v be b(6). Suppose 13*w + v + 223 = 0. Is w equal to -36?
True
Let n = -19 - -13. Let w = n + 6.004. Let u = w + 0.996. Is u less than 0.55?
False
Let v be ((-150)/36)/(-5)*24/40. Let a = 342 + -331. Which is smaller: a or v?
v
Let z = 18369.9 + -18370. Is z >= 3/2518?
False
Let h = 98063 + -103554559/1056. Let q = h + -1/32. Is 0 smaller than q?
False
Let b be (-6)/14 + (-30)/(-21). Let c be 1426/142*(-13)/(-65) - 2. Is b <= c?
False
Let o be 119903/(-19635) - 3/15. Let h = 100/17 + o. Which is greater: h or 1?
1
Let k = -5554 - -5539. Which is bigger: -695/43 or k?
k
Let l(t) = 4*t**3 + 4*t**2 - 12*t - 49. Let g be 13/(-3) + (5/3)/5. Let m be l(g). Which is bigger: m or -192?
-192
Suppose 3*j - 6 = l, 0*l - 2*l - 5*j + 32 = 0. Let i be ((-27)/l)/((-9)/48) + -2. Let t be 4/(-22) + (-40)/i. Which is smaller: t or 0?
t
Suppose 5*w - 3*b + 172 = -0*b, 36 = -w + b. Suppose -2*g - 76 = -4*j, 0 = -3*g + 177*j - 172*j - 111. Is w at most as big as g?
True
Suppose -133 = -2*d + 11. Suppose 9*s + d = 15*s. Suppose s*k = 6*k - 6. Is k <= -10/31?
True
Let c(q) = 2*q**3 - 51*q**2 + 33*q - 201. Let o be c(25). Is o less than -5/107?
True
Let m = -70 + 77. Let q be (m - 4 - 1) + -127. Let b be 2 + (-1 - 4) + q/(-42). Which is bigger: b or -1?
b
Let o(u) = 33*u + 170. Let f be o(-5). Let t be -4083*(-7)/5719 - f. Is 0 not equal to t?
True
Suppose r - 2*a - 16 = -3, 6 = -3*r - 3*a. Let l = 5 - 4.85. Let x = 0.05 + l. Which is smaller: x or r?
x
Let z = -81/76 + 33977/31844. Let a = -131 - -131. Which is greater: a or z?
z
Suppose -28163 = -79*a - 105*a + 43965. Which is smaller: a or 375?
375
Let s be (6762/(-8))/(5100/(-680)). Is s greater than or equal to 114?
False
Suppose -8*n + 168 = 4*n. Suppose -37*w - n = -39*w. Let j be 6*(1 - 3/(-6)). Which is bigger: w or j?
j
Suppose s + 3 = -p, 6*s + 11*p - 14*p - 9 = 0. Is 1/1273 > s?
True
Suppose b = 3*o - 77, 0*o = 5*b + o + 465. Suppose 12*v - 892 = 212. Let w = v + b. Which is smaller: -2/43 or w?
-2/43
Let z = -13.53 - 3.99. Let j = 17 + z. Let s = -6 - -5.9. Which is bigger: s or j?
s
Let f(v) = v + 6. Let o be f(-4). Let r(g) = -30*g**2 + 5*g - 4. Let t be r(o). Which is smaller: t or -113?
t
Suppose 2*q = -3*o + 2, 12 = 2*o - 2*q - 2*q. Suppose 0 = -f + 4*f. Suppose 0 = 3*t - f*t + v, -3*t = -o*v - 9. Is t equal to 4/33?
False
Suppose -124*f = -63*f - 221003. Is f greater than or equal to 1?
True
Let j(g) = 359*g + 1214. Let c be j(13). Is 5882 bigger than c?
True
Let y be (-1)/(76/(-8)) + (-5540)/(-76). Let n be (5 - (y + 2))*(-2)/(-4). Which is smaller: n or -109/3?
-109/3
Let n(s) = -3*s + 2. Let k be n(1). Let y = -231 + 228. Let o be y*(-2 + k - (-16)/6). Which is smaller: -1/19 or o?
-1/19
Suppose 0 = -y - 2, -y - 54 = v - 23. Let a be 84/(-14) + (-187)/v. Which is smaller: a or 0?
0
Let c be ((2 - 1) + -1)*(-8668 - -8669). Let z = 36658/21 + -1745. Is z < c?
False
Let m = 12429 - 12428.9. Is 2/1193 less than m?
True
Let t(p) = 12*p**2 - p - 1. Let k be t(-1). Let i be (k/9)/((-6)/9). Suppose 3*s - 3 = a, a - 34 + 35 = s. Which is smaller: s or i?
i
Let m = -274 - -298. Suppose -4*s = 5*j + m, s + 4*j + 13 = 4*s. Let l be 238/120 - (-1 - -3). Is s != l?
True
Let p be 6985/25 - (36/15 + -2). Let v = p - 280. Which is smaller: 1/77 or v?
v
Let s = 46169/10258 + -4/5129. Let d be 0 + (2 - -1) + 3. Which is smaller: d or s?
s
Let b = 828 - 666.8. Let n = -161 + b. Let w = 0 - 0.8. Is w less than or equal to n?
True
Let z(o) = o**3 - 35*o**2 + 38*o - 85. Let a be z(34). Suppose 181*d - 184*d = -a. Is 14 >= d?
False
Let r be 150/(-30)*168/5. Is -172 <= r?
True
Let r = -309 + 311. Let n = 0.1032 - -4.9668. Let y = n + -0.07. Does y = r?
False
Suppose -3*o = o + 68. Let w be (-2)/(-56) - o/68. Are 221 and w non-equal?
True
Let b be 24/96 - 2394/8. Let y = 299 + b. Which is greater: -9/43 or y?
y
Let d(b) = 40*b**2 + 3*b + 5. Let l be d(-1). Suppose -l = -5*c - 47. Which is smaller: -2/1517 or c?
c
Let v = 9 + -3. Let d be (-166)/(-852) - v/36. Let u(o) = 4*o + 11. Let p be u(-3). Is d at most p?
False
Let d = -7939 - -3207357/404. Suppose -2*a + 2 + 0 = 0. Is d >= a?
False
Let o = -198023518/3065 - -64608. Are o and 0 nonequal?
True
Let s be 2/(-5) + 10892/(-220). Suppose -17*t - 581 - 269 = 0. Let x = s - t. Which is greater: x or 0?
x
Let q be 17*(-7 + 4 - -5). Suppose -4*r + 172 = -3*z, 3*r - 28*z = -33*z + 129. Which is smaller: q or r?
q
Let l be 12/4 - -1 - (-45)/(-3). Let i be 2/(-4) + (-114)/12. Let k = i - l. Do k and -2/55 have different values?
True
Let b(q) = -q**2 - 7*q - 7. Let v(o) = o**2 + 14*o + 40. Let y be v(-9). Let g be b(y). Is 1/58 > g?
False
Let t be -5 + 13 + 30/(-17). Is -1 < t?
True
Let o = -796 - -774. Let z = o - -31. Are z and -15/2 equal?
False
Let w = -16054499/1375 + 11676. Is -1 != w?
True
Let r be (-450)/(-75) + 3*(-16)/86. Is 5 > r?
False
Let z(j) = -14*j**2 - 9*j - 7. Let l be z(-4). Let r = 109 + l. Let q be (-57)/38 - r/(-4). Which is smaller: q or 1?
q
Let i be (-890)/(-145) + 1081/47. Which is greater: 28 or i?
i
Let i be (850/(-14220))/(-17)*(-20)/(-75). Is i smaller than 1?
True
Let v be (-3 - -1)*9/(-6). Suppose o - 2*a = 6*o + 13, 0 = 5*o - v*a - 7. Let j be (o/4)/(-2 - 2). Which is smaller: j or -1?
-1
Let s = 1575 + -1575.0142. Which is greater: s or 0.2?
0.2
Let w = -77 - -81. Let h = -477 - -469. Which is greater: h or w?
w
Let q = 667 - 634. Let p = -10747/10 + 2085/2. Let x = p + q. Which is smaller: 0 or x?
0
Let x = 59 - 29. Let n(h) = -h**2 - 35*h + 430. Let z be n(9). Is x != z?
True
Let i = 7/15 + -3/10. Let q be ((-3)/1 + 5)/(-2 - -13). Does q = i?
False
Let j be (3/2)/((-3 | {
"pile_set_name": "DM Mathematics"
} |
+ 13*y(t).
5*t**3
Let d(g) = 3*g - 1. Let w(u) = -u**2 + 3*u - 2. Suppose 0 = -0*n - 4*n + 4. Suppose i + 0*q + 3*q + 3 = 0, -5*q = 3*i + n. Determine i*d(t) - 2*w(t).
2*t**2 + 3*t + 1
Let b(q) = q - 1. Let f(l) = 6*l - 6. Let h = -1 + 3. Let s(w) be the second derivative of 4*w**3/3 + 43*w. Let z be s(h). Give z*b(r) - 3*f(r).
-2*r + 2
Let k = -1797 - -1798. Let b(z) = 8*z**2 + 2*z + 9. Let d(c) = c**2 + 1. Calculate k*b(h) - 6*d(h).
2*h**2 + 2*h + 3
Let t(l) = 157*l + 12. Let i(o) = -o - 2. Give -6*i(a) - t(a).
-151*a
Suppose -7*h + 41*h = -102. Let s(u) = u**3 + u + 1. Let j(m) = 18*m**3 + 3*m + 3. Calculate h*s(g) + j(g).
15*g**3
Let r(c) = 6*c + 7. Let k(f) = -11*f + 11. Let y(t) = -14*t + 14. Let x(q) = -5*k(q) + 4*y(q). Calculate -r(b) + 5*x(b).
-11*b - 2
Let j(d) = -5*d**3 + 6*d**2 + 3*d + 4. Suppose 96*h - 83*h - 13 = 0. Let v(p) = p**3 - p**2 - p - 1. Calculate h*j(u) + 6*v(u).
u**3 - 3*u - 2
Let a(q) = -9*q + 2. Let t(c) = -c**3 - 3*c**2 + 6*c - 14. Let p be t(-5). Let u(b) = 19*b - 4. Determine p*u(o) + 13*a(o).
-3*o + 2
Let a(u) = -7*u**3 - 5*u**2 + 2*u + 7. Let l(t) = -3*t + t + 6*t**2 - 6 + 8*t**3 - 2. Suppose 2*h = -h + 15. Calculate h*l(f) + 6*a(f).
-2*f**3 + 2*f + 2
Let t(m) = m**3 - 17*m**2 - 5*m + 1. Let r(z) = 2*z**3 - 34*z**2 - 11*z + 2. Give -4*r(p) + 9*t(p).
p**3 - 17*p**2 - p + 1
Let h(w) = w**3 - 2*w**2 - w - 1. Let k(p) = -4*p**3 + 12*p**2 + p + 6. Determine -6*h(d) - k(d).
-2*d**3 + 5*d
Let j(s) = -7*s**3 - 5*s**2 - 9*s + 1. Let h(a) = 2*a**3 + a**2 + 2*a. Give -9*h(b) - 2*j(b).
-4*b**3 + b**2 - 2
Let p(w) = 1. Let n(o) be the third derivative of o**5/30 - o**4/24 + o**2. Let m be (-1)/4*2*(-354)/(-3). Let r = m + 58. Determine r*n(c) - 2*p(c).
-2*c**2 + c - 2
Let f(b) = 3*b**2 + 6*b - 1. Let h(s) = -4*s**2 - 7*s + 1. Let m = 26 + -11. Let x be (-8)/12*m/(-2). Determine x*f(w) + 4*h(w).
-w**2 + 2*w - 1
Let b(d) = 4*d + 13. Let t(s) = s + 4. Let y be ((-816)/(-255))/((-4)/(-5)). Determine y*b(f) - 14*t(f).
2*f - 4
Let j(b) = -108*b**3 - 6*b - 3. Let a(f) = -215*f**3 - f**2 - 10*f - 5. Calculate -3*a(v) + 5*j(v).
105*v**3 + 3*v**2
Let c(h) = -5*h**3 - 4*h**2 - 7*h - 4. Let m(s) = 6*s**3 + 5*s**2 + 9*s + 5. Let l(x) = -5*c(x) - 4*m(x). Let q(w) = 8*w**3 - 3*w - 1. Give 3*l(a) - q(a).
-5*a**3 + 1
Let r(a) = -3*a**3 + 20*a**2 - a + 2. Let l(g) = -3*g**3 + 17*g**2 - g + 1. Calculate 5*l(o) - 4*r(o).
-3*o**3 + 5*o**2 - o - 3
Let t(h) = 11*h**2 + 7*h + 7. Let f(i) = -11*i**2 - 2*i - 2. Let l(g) = -55*g**2 - 8*g - 8. Let r(a) = -11*f(a) + 2*l(a). Calculate 7*r(w) - 6*t(w).
11*w**2
Let d(h) = 57*h - 3. Let x(m) = 170*m - 8. Calculate 11*d(f) - 4*x(f).
-53*f - 1
Let h(w) = -17*w**3 - 13. Let b(p) = 8*p**3 - 5*p**2 - 15*p + 6. Let l(x) = 4*x**3 - 2*x**2 - 6*x + 3. Let v(q) = 2*b(q) - 5*l(q). What is -6*h(j) + 26*v(j)?
-2*j**3
Let j(v) = -v**3 - 2*v**2 + v + 1. Let z(y) = y**3 - 8*y**2 + 8*y + 1. What is -5*j(s) + z(s)?
6*s**3 + 2*s**2 + 3*s - 4
Let v(l) = l + 5. Let w(c) = -7 - 10 + 27 - c - 4 - 5. What is v(q) - 4*w(q)?
5*q + 1
Let m(s) = -11*s**2 - 5*s - 1. Let o(u) be the third derivative of -u**5/12 - u**4/12 - u**3/6 + u**2 + 2*u. What is 2*m(j) - 5*o(j)?
3*j**2 + 3
Let q(s) be the first derivative of 4*s**2 - 142. Let n(j) = -25*j. What is -3*n(x) - 10*q(x)?
-5*x
Let z(b) = b**2 - 8*b + 13. Let u be z(6). Let s(g) = -6*g + 5. Suppose -2*h + 54 + 14 = 0. Let j be (-6)/27 - h/9. Let y(k) = -k + 1. Give j*y(t) + u*s(t).
-2*t + 1
Suppose -6 = -c + b, -57*c + 56*c = -5*b - 22. Let g(y) = 6*y**2 + y - 2. Let d(q) = 7*q**2 + q - 3. Determine c*d(s) - 3*g(s).
-4*s**2 - s
Suppose -a + 3*m = -8, 4*a = -5*m + 2*m - 43. Let g(r) = 3*r + 1. Let j(c) = 5*c + 2. Determine a*g(k) + 4*j(k).
-k + 1
Let z(t) = -188*t**2 + 10*t. Let p(d) = 1786*d**2 - 94*d. Calculate 5*p(x) + 47*z(x).
94*x**2
Let r(u) = 182520*u + 1053. Let z(t) = -347*t - 2. Calculate -2*r(d) - 1053*z(d).
351*d
Let s(b) = -b**3 + 8*b**2 + 5*b. Let h(u) = -u**3 + 9*u**2 + 6*u. Suppose -32*j = -19*j - 78. Determine j*s(n) - 5*h(n).
-n**3 + 3*n**2
Let c(n) = -13*n**2 - 14*n + 2. Let g(l) be the first derivative of -4*l**3/3 - 5*l**2/2 + l + 230. Give -3*c(k) + 8*g(k).
7*k**2 + 2*k + 2
Let i(h) = 2*h - 1. Let x be i(3). Let m(d) = -6*d - 5. Let n be (12/(-20))/((-16)/(-160)). Let l(w) = -7*w - 6. Determine n*m(r) + x*l(r).
r
Let v(o) = 6 + 5 + 27*o - 24*o - 11. Let t(a) = -4*a + 1. Let c be (1 - 0)/((-1)/2). Calculate c*t(j) - 3*v(j).
-j - 2
Suppose 48*x = 39 - 135. Let q(i) = -119*i - 49. Let z(g) = 5*g + 2. Give x*q(w) - 49*z(w).
-7*w
Let i(l) be the third derivative of -7*l**6/60 - l**5/15 + l**4/6 + 2*l**3/3 + 31*l**2 - l. Let w(s) = 13*s**3 + 3*s**2 - 3*s - 3. Determine -3*i(c) - 4*w(c).
-10*c**3
Let q(c) = 241*c**3 + 964*c**2 + 964*c - 2892. Let m(p) = p**2 + p - 3. Calculate 964*m(l) - q(l).
-241*l**3
Let y(k) = -2*k**2 + 3*k - 1. Let v(c) = 691*c**2 + 18*c - 5. What is -v(h) + 6*y(h)?
-703*h**2 - 1
Let q(d) = -d - 4. Let p(x) = -15*x - 28. Let v(l) = p(l) - 8*q(l). Let s(i) = 35*i - 21. Calculate 2*s(h) + 11*v(h).
-7*h + 2
Let r(v) = -v - 9. Suppose 3*y + 15 = 0, 0*y + 23 = -3*l - 4*y. Let k(s) be the second derivative of s**2/2 + 25*s - 1. Calculate l*r(x) - 6*k(x).
x + 3
Let n(a) = -13*a. Let t = -6 - -1. Suppose -2 = -7*f + 12. Suppose 2*l + 45 = -5*b, 0*b + 3*b + 31 = -f*l. Let m(j) = 9*j. What is b*m(z) + t*n(z)?
2*z
Let m(r) = -6*r + 15. Suppose 4*l - 115 = -i, -4*i + 6*i = -5*l + 140. Let x(v) = -v + 2. Determine l*x(y) - 4*m(y).
-6*y
Let s(w) = 11*w**2 + 9*w - 1. Let m(v) = 22*v**2 + 16*v - 1. Calculate 6*m(x) - 11*s(x).
11*x**2 - 3*x + 5
Let v(k) = -2*k**3 + 2*k**2 + 8*k + 5. Let f be v(0). Let l(s) = 12*s**3 + 3*s**2 + 3*s - 7. Let z(x) = 8*x**3 + 2*x**2 + 2*x - 5. What is f*l(o) - 7*z(o)?
4*o**3 + o**2 + o
Let o(j) = -26*j**2 + 302*j - 9. Let d(q) = 6*q**2 - 75*q + 2. Determine -9*d(v) - 2*o(v).
-2*v**2 + 71*v
Let d(l) = 11*l + 33. Let k(y) = 4*y + 1. What is d(w) - 2*k(w)?
3*w + 31
Let t(i) = 6*i**2 + 25*i + i + i - 16*i - 7. Let k(d) = 3*d**2 + 5*d - 1. Let q(u) = 6*u**2 + 10*u - 1. Let x(a) = -5*k(a) + 2*q(a). Give -3*t(f) - 7*x(f).
3*f**2 + 2*f
Let a(o) = -4*o**2 - 9*o. Let u(d) be the second derivative of d**4/6 + 2*d**3/3 - 28*d + 2. Determine 4*a(p) + 9*u(p).
2*p**2
Suppose 3*m - 10 = 2. Let n(g) = -7*g**2 + 7*g - 4. Let j = 68 + -47. Let k(t) = -3*t + 0*t + 24*t**2 - j*t**2 + 2. Give m*n(u) + 9*k(u).
-u**2 + u + 2
Let c(d) = 23*d**2 + 10*d + 17. Let o(q) = 24*q**2 + 9*q + 14. Give -5*c(b) + 6*o(b).
29*b**2 + 4*b - 1
Let g(p) be the third derivative of p**5/20 + p**4/6 + p**2 - 151. Let h(s) = 3*s**2 + 3*s. Calculate -2*g(d) + 3*h(d).
3*d**2 + d
Let g(o) = 6*o**2 + 7*o + 1. Suppose -5*x = -i - 50, 0*x = -x + 4*i - 9. Suppose -x*s + 12*s = -14. Let h(r) = -r**2 - r**2 - r + r**2. What is s*h(c) - 2*g(c)?
2*c**2 - 2
Let q(s) = s**2 - 1. Let g be (54/15 - 4) + 256/40. Let t(f) = 3*f**3 - 6*f**2 + 8. Determine g*q(c) + t(c).
3*c**3 + 2
Let p(b) = -6*b**3 + 3*b**2 - 2*b + 28. Let o(u) = -17*u**3 + 8*u**2 - 6*u + 83. Determine 4*o(l) - 11*p(l).
-2*l**3 - l**2 - 2*l + 24
Let w(n) be the second derivative of -n**3/6 + 48*n. Let b(x) = 3*x + 1. Give -b(s) - 5*w(s).
2*s - 1
Let z(v) = 26*v - 35. Let o(t) = 24*t - 40. Determine -6*o(h) + 7*z(h).
38*h - 5
Let t(f) = -54*f**3 - 45*f**2 - 45. Let j(b) be the third derivative of -b**6/24 - b**5/15 - 2*b**3/3 + 471*b**2. What is 45*j(k) - 4*t(k)?
-9*k**3
Suppose 38 = -3*x + 11. Let j(l) = -l**3 - 8*l**2 + 10*l + 3. Let p be j(x). Let a(z) = 7*z**2 + 2*z - 5. Let y(i) = -8*i**2 - 3*i + 6. What is p*a(r) - 5*y(r)?
-2*r**2 + 3*r
Let k = 144 + -94. Let g = k - 54. Let n(r) = 7*r**2 + 4*r + 4. Let u(c) = -6*c**2 - 4*c - 3. What is g*n(q) - 5*u(q)?
2*q**2 + 4*q - 1
Let x(j) = -6*j**2 + j + 2. Let k(f) = 2 - f**2 + 74*f - 149*f - 2*f**2 - 2*f**2 + 76*f. Give -4*k(q) + 3*x(q).
2*q**2 - q - 2
Let h(c) = -c - 1. Let j(g) = -2*g - 1. Suppose 131*z - 163*z + 128 = 0. Give z*h(d) - 4*j(d).
4*d
Let q(s) = -3*s - 1. Let x(c) = c + 1. Determine q(t) + 2*x(t).
-t + 1
Let s(v) = -3*v**3 + 35*v**2 - 3*v + 1. Let u(t) = -11*t**3 + 105*t**2 - 10*t + 4. Give 7*s(i) - 2*u(i).
i**3 + 35*i**2 - i - 1
Let t(a) = 6*a - 14. Let q(v) = -13*v + 29. Determine -3*q(o) - 7*t(o).
-3*o + 11
Let o(q) be the second derivative of 2*q**5/5 + q**4/2 + | {
"pile_set_name": "DM Mathematics"
} |
late (-727056)/11664*(-18)/(-11).
-102
Evaluate 30/((-30)/(-420)*175)*(-3)/(-4).
9/5
((-6069)/(-8092))/(3/(-28))
-7
Calculate 15*13/((-164268)/24)*75/(-125).
2/117
What is the value of 1206/(-5427)*(-198)/(-56)*(-18)/33?
3/7
Evaluate (-3)/6*-6*(-12)/(-2592).
1/72
Calculate (28/(-1820)*-1222)/(((-9)/((-45)/(-4)))/(-2)).
47
What is the value of -544*50/1280*8/5?
-34
Calculate (-15)/18*24/(-134400)*-252.
-3/80
Calculate (6/(-15))/((-76)/(-285))*78/27.
-13/3
What is ((-3)/(6/(-4)))/(5/(((-4080)/(-64))/17))?
3/2
What is the value of (464*(-5)/(-160))/((-8)/16)?
-29
Evaluate (1987/(-431179))/((-4)/(-84)*3).
-1/31
Calculate (-99)/(-1)*(7/(49/(-28)))/(-18).
22
((-192)/60*2/(-104))/((-1924)/(-962))
2/65
Calculate (9/((-9)/(-8)))/(47/(329/(-294))).
-4/21
What is 90/(-2)*(-1495)/411125*(-11)/(-6)?
3/10
What is the value of (846260/(-19912))/((-1)/2)?
85
Calculate 60/5*-13*((-16)/32)/((-6)/4).
-52
Evaluate (-1880)/18612*11/(-2).
5/9
What is -152*(-1236)/(-1030)*(-5)/((-5)/((-5)/(-12)))?
-76
Evaluate (1270/635)/((-12)/(-9))*((-3)/25)/3.
-3/50
3/(((-72)/(-30))/((-220)/200*-4))
11/2
What is the value of (135/(-85))/(675/(-3825))?
9
Calculate (10/(-325))/((-1857)/6190*(-2)/6).
-4/13
What is 5/((1508/(-390))/29*30/36)?
-45
Evaluate (135/(-7830)*12)/(-6).
1/29
(-3)/(-7470)*10*(-42)/(280/20)
-1/83
Calculate (0*(-11)/484)/2.
0
Calculate 74/(-1369)*-37*(12/74)/(-3)*1.
-4/37
What is the value of ((210/(-4))/21)/((-12005)/(-294))?
-3/49
What is the value of (117/45)/(-4*6/120)?
-13
What is the value of ((-1664)/(-120640))/(1/(-5))?
-2/29
Evaluate (-4)/(-256)*496*-2.
-31/2
Calculate (-42)/1008*(-82)/(-41).
-1/12
Calculate (-72)/4*(-3)/15*1330/4389.
12/11
Evaluate 1*22/(-165)*170/(-136).
1/6
((-7448)/228*8/(-56))/((-2)/(-12))
28
14706/1634*(-2)/765
-2/85
Evaluate (20/130)/(109263/6149).
2/231
Evaluate ((-12529)/2278)/(4/(-24)).
33
((-11)/((-7480)/136))/(4/(-10))
-1/2
What is ((-2520)/3500)/((-4)/(-280)*18/(-3))?
42/5
Calculate 30*40/(-450)*405/20.
-54
16/(-16)*(-73)/292*7*-8
-14
What is the value of (3236/84945)/((-1)/(-5))?
4/21
Calculate (3/(-50))/(82118/(-54025)).
3/76
What is the value of -4*((320/(-70))/(-16))/((-1)/(-7)*-5)?
8/5
What is the value of (304/57)/(-7*(-56)/441)?
6
What is ((151293/846)/(-29))/(2/12)?
-37
What is the value of ((45/(-4))/((-21)/(-42)))/(6*14/(-168))?
45
Evaluate ((6/4)/(24/320))/(((-4824)/360)/67).
-100
What is 33978/(-19416)*(-1)/((-42)/(-152))?
19/3
Calculate ((-1)/(45/(-8)))/(17500/21875).
2/9
(3264/(-128)*-20)/((-12)/2)
-85
What is the value of (((-6480)/(-700))/18)/(4/(784/42))?
12/5
Evaluate ((-899)/116)/((-3)/(-1)*4/(-96)).
62
What is 96/(-408)*(-5814)/35568?
1/26
Evaluate ((-3)/(27/(-12)))/((-93012)/(-9099)).
3/23
What is ((-4)/30)/((5940/(-525))/(-99))?
-7/6
((-25)/550)/((-15)/27*108/90)
3/44
((-56)/(-175))/((-2552)/(-290))*-5
-2/11
What is (((-63)/252)/(15/(-468)))/1?
39/5
Evaluate ((-10908)/303)/(1836/(-24)).
8/17
Evaluate (-6)/36*107/((-4387)/(-246))*41*1.
-41
What is -6*(-4)/(-7686)*((-108955)/(-110))/(-283)?
2/183
Evaluate (-12)/(-9)*6*(-567)/(-168).
27
Calculate 918/(-2754)*(-9)/300.
1/100
What is 0/(-5)*(-916)/10992?
0
What is 7/7*-1*(88/462)/(-4)?
1/21
What is -5*(-9)/(-5)*(3757/(-39))/(-17)?
-51
What is the value of (-125)/84750*-113*18*17?
51
Calculate (-1139)/(-469)*9/(-51).
-3/7
(((-30)/8)/(-3))/(3280/(-39360))
-15
Calculate ((-125)/(-225))/(365/7227).
11
What is ((-26)/4)/(17563/102676)?
-38
Calculate 175/(-14)*8036/(-1225).
82
Evaluate 50/(-8)*(-42)/(-15)*6740/(-2359).
50
42284/(-18414)*54/(-16)
31/4
-43*(-112)/(-5152)*46/2
-43/2
What is (22/77)/((-4192)/(-336)*(-99)/66)?
-2/131
What is ((6/10)/(10*477/(-10600)))/((-2)/(-18))?
-12
What is the value of 5/((-20)/(-72))*(-1910)/(-1910)?
18
(-224183)/(-18177)*12/4514
2/61
What is (10*38/760)/(6/1212)?
101
Evaluate ((-16)/18)/(1436/(-42003)).
26
Evaluate (-680)/24*384/120*(-39)/(-52).
-68
((-10)/60)/(1192/18774)
-21/8
Evaluate 6650/7600*2/10*30/(-42).
-1/8
Evaluate (17/((-935)/(-66)))/((-93)/775).
-10
What is the value of (3/10*-2)/((-262599)/276420)?
12/19
What is ((-51)/22)/(-51)*-72?
-36/11
What is 56/10*19*(-1010)/(-13433)?
8
((42/4)/3)/(((-1717)/170)/101)
-35
88/7920*(-24)/18
-2/135
What is the value of (20/6)/((-135)/(-10)*1/((-207)/92))?
-5/9
((-24)/14)/((-8096)/212520)
45
-14*(-33)/168*49*(-64)/(-112)
77
(-4)/8*-25*(-78)/(-24375)
1/25
Calculate (-7)/33*195/(-1820).
1/44
(13/(117/54))/((2652/104)/(3/(-2)))
-6/17
Calculate (44*1260/215600)/(2/35).
9/2
What is the value of (45/(-80))/(222/(-4144))*(-36)/231?
-18/11
Evaluate (-1)/((1/(-4)*1)/(76*160/(-6785280))).
-2/279
Evaluate (38/171*-21)/(((-40)/8)/(-15)).
-14
What is ((-840)/(-630)*(-9)/2)/(5/((-25)/45))?
2/3
Calculate ((-14)/(210/15))/((-18)/4*(-363)/(-99)).
2/33
What is 98/105*45/(-12)?
-7/2
What is the value of (656/(-5740))/(8/112)?
-8/5
What is (-13265)/(-137956)*8/5?
2/13
30/(-55)*(-44)/16*(-7590)/207
-55
Calculate ((-7)/(4214/56))/(-3*(-10)/15).
-2/43
Calculate 22/(126720/(-162))*(-1)/(39/(-52)).
-3/80
What is 140*15/120*30256/(-3416)?
-155
(-12)/(-3)*((-6)/273)/((-384)/(-2016))
-6/13
Calculate (((-660)/17820)/((-2)/27))/(-3*3/(-702)).
39
What is the value of (12/3465*10)/(((-24)/(-66))/(30/(-55)))?
-4/77
Calculate (40/(-80))/((12/36)/((-2)/3)*-1).
-1
What is 496/(-3224)*(-65)/435?
2/87
Evaluate ((352/(-40))/(-11))/((-47874)/(-1185)).
2/101
(((-20)/(-10))/2)/((-30)/30)*(-320)/(-10)
-32
What is ((1036/(-111))/(-28))/(129/18)?
2/43
(((-3672)/476)/(-54))/(-1*1/21)
-3
What is the value of (64/((-5760)/918))/(((-1)/5)/(4/6))?
34
What is the value of (408/765)/((-1002)/(-835))?
4/9
Evaluate ((13787/(-38928))/((-5)/80))/(((-2)/2)/(-9)).
51
What is (12883/(-18829))/(11/(-1672))?
104
What is the value of 75/(-200)*9/(333/296)?
-3
Calculate ((-69)/(2898/84))/137.
-2/137
What is (-6970)/(-15334)*(-44)/(-105)?
4/21
What is the value of (116/2494)/((-7878)/(-4343))?
1/39
What is 12/18*(-12876)/(-296)?
29
Calculate (27*(-24)/(-108))/(10/((-160)/(-84))).
8/7
What is the value of ((-66)/(-1408))/(36/2304)?
3
Evaluate (6/(-8))/(132*(-100)/(-105600)).
-6
What is the value of (-69)/(-4186)*13*4/(-60)?
-1/70
(16/(-112))/(1150/(-805))
1/10
What is the value of ((-308)/126)/(((-20384)/432)/91)?
33/7
What is 33/(3960/(-160))*(3/(-4))/(55/143)?
13/5
What is the value of ((-9)/(-6))/((-531)/(-6726))?
19
(190/60420*-106)/((-2)/(-78))
-13
What is (1140/1824)/((-30)/(-40))?
5/6
Evaluate (((-32)/36)/(8*(-16)/416))/(2/2).
26/9
What is (23/(184/4))/((-15)/(-4))?
2/15
What is the value of ((-88)/22)/(((-120)/(-175))/((-9)/63))?
5/6
6/45*88000/1408
25/3
Calculate ((-306)/(-21))/(15094/52829).
51
(4/13696)/(85*(-15)/(-40800))
1/107
(25/10*(-1300)/(-50))/((-5)/(-7))
91
Evaluate ((-46)/(-115)*(-10)/(-6))/((-10)/((-30)/19)).
2/19
Evaluate (((-279450)/(-50))/(-81))/3.
-23
Evaluate (447/1341)/((-24)/27).
-3/8
((-7296)/240)/(40/(-75))
57
Evaluate ((-4)/54)/(-1)*47/((-1504)/(-96)).
2/9
What is (-2)/(32/12)*(-2*(-5)/40)/3?
-1/16
Calculate 14/((16884/(-180))/67).
-10
What is (-24980)/(-389688)*4/5?
2/39
9/3*(-366)/732*2
-3
Calculate (-9*50/2520)/(17/(595/(-50))).
1/8
Calculate (37978/(-5585))/((-12)/10).
17/3
(60/(-4))/(708885/(-534))
2/177
Evaluate ((-53628)/(-26160))/((1/12)/(3/9))*-5.
-41
Evaluate 1*-11*16490/(-10670).
17
What is ((-6)/(-24))/(((-473)/1012)/43)?
-23
What is (9/12)/((-6)/20)*-13*(-90)/1950?
-3/2
Evaluate 3/8*31*(-1274)/(-8463).
7/4
What is the value of -2*14/(-6)*((-42)/(-126))/(204/(-54))?
-7/17
Calculate 16*(4/(-22))/(14*28/4312).
-32
What is the value of (0/(-1))/(93418/(-7186))?
0
(5/34)/((-142)/(112464/(-110)))
18/17
What is 1/(5/(70/287))?
2/41
Calculate (-5)/(5*(-14)/14*((-7)/(-1))/126).
18
What is the value of 258/10*365/219?
43
Calculate 0/(-8)*(43/3)/(-43).
0
Evaluate (1/(-1)*((-567)/9)/21)/(21/(-196)).
-28
Evaluate (((-66)/11)/12)/((-166)/24236).
73
Calculate ((-460)/15)/(-1)*(2/(-9))/((-184)/(-207)).
-23/3
Calculate ((-231)/((-88)/(-8)))/((5/10)/((-65)/30)).
91
What is (1/(-2)*1)/((2416/(-19328))/((-2)/328))?
-1/41
Evaluate 4/(-28)*21063/8024.
-3/8
Evaluate (25/45)/(-5)*9540/(-118190).
2/223
Evaluate 3/(((-28)/3)/(-14))*(-174)/9.
-87
What is ((-3)/(-18)*4)/((2/(-18))/((-512)/(-1536)))?
-2
Evaluate (10/22)/(14*(-1335)/(-2492)).
2/33
Calculate ((-301)/(-774))/(175/(-3000)).
-20/3
Evaluate ((-52)/(-78))/(10/(-5) | {
"pile_set_name": "DM Mathematics"
} |
13744 unequal?
True
Is 1728 at most -610476?
False
Which is smaller: 16901889 or 135215115/8?
16901889
Is -133/425044 at least as big as 1?
False
Which is bigger: -1/1151631329 or 1?
1
Which is smaller: 361352 or 361487?
361352
Which is smaller: -1 or -1/3983327?
-1
Is 35658722 < 35658722?
False
Is -131722450 smaller than -131722451?
False
Is 97696264/3 at most as big as 32565422?
True
Is 40125999 < 40125998?
False
Are -1219 and -451810/371 unequal?
True
Is -220 less than 4/25861?
True
Is -4247053 < -4247046?
True
Is -1 bigger than 2/10156899?
False
Which is smaller: -4233799 or 0?
-4233799
Are 1/4 and -2451405560 equal?
False
Is -2059339 < -10296702/5?
False
Is 1 not equal to -781/83139?
True
Which is smaller: -5726 or -45563?
-45563
Are 23 and -5670087 unequal?
True
Is 33/3245827 < 0?
False
Is 343578/149 greater than or equal to 2305?
True
Which is smaller: -1/6 or 26579/1835?
-1/6
Is -3610 less than -52359?
False
Do -46695797 and -46695797 have the same value?
True
Which is greater: -853889 or -853729?
-853729
Which is smaller: -8439 or -2066?
-8439
Is 18298 at least 26257?
False
Which is smaller: -19147 or -12316?
-19147
Are 858027/13 and 66001 equal?
False
Is -379168 < -149/2?
True
Which is bigger: -0.06358731 or 76?
76
Which is smaller: 5392/137233 or 1?
5392/137233
Are -1 and 5650/56867 unequal?
True
Is -3388282 less than or equal to -3388287?
False
Is 10579658 bigger than 10579656?
True
Is -14/414426907 less than 1?
True
Which is smaller: -14158672 or -14158680?
-14158680
Is -301 >= -320484/1069?
False
Is 15.09 > -0.09122?
True
Which is greater: 1/933 or 2711.6?
2711.6
Is 2253182 at most as big as 2253214?
True
Which is greater: -31172/161 or -194?
-31172/161
Is -831513 not equal to -831515?
True
Is 198341 != 198341?
False
Which is greater: -1248867 or -1248866?
-1248866
Is 46.99197 <= 18?
False
Which is smaller: 2803243 or 2803241?
2803241
Which is smaller: -263243/17 or -15486?
-15486
Are 139.608 and 978 equal?
False
Which is smaller: -9/7221373 or -1?
-1
Do -6378906 and -6378935 have different values?
True
Which is greater: -1420281 or -1419678?
-1419678
Does -608/68843 = -1?
False
Is -4088 greater than 63758?
False
Is 1 <= 10/88738287?
False
Do -0.05677 and -912 have different values?
True
Do 86 and 218298/2527 have different values?
True
Does -616561 = -616551?
False
Which is smaller: 0 or 6/4501091?
0
Which is greater: 139948333 or 139948336?
139948336
Is 104947373 less than 104947373?
False
Which is smaller: -3582 or -442/21?
-3582
Which is smaller: 2751 or 12/55?
12/55
Is -534478 bigger than -534460?
False
Which is bigger: 12470883 or 12470858?
12470883
Which is greater: 201095010/7 or 28727859?
28727859
Is -1 > -881891?
True
Which is smaller: -6 or -23335/3591?
-23335/3591
Is 15 > 28797/1787?
False
Is 87/389950 at most as big as 1?
True
Which is greater: 4997430 or 4997408?
4997430
Which is smaller: -2715063 or -19005443/7?
-19005443/7
Which is greater: -38/7 or 17988?
17988
Which is smaller: 45 or 6856?
45
Is -0.5 at least 9.1798?
False
Is 1.7628 < 0.0338?
False
Is 89.84 at most as big as 1672?
True
Which is smaller: -10264589 or -10264588?
-10264589
Which is bigger: -1083 or -26585?
-1083
Which is greater: 348 or 0.05826?
348
Is 8/3375139 less than or equal to -5?
False
Which is smaller: -1 or -8/86895?
-1
Which is greater: -245 or -73307/301?
-73307/301
Is -719/2 < 0.439274?
True
Is 13229543/11 bigger than 1202685?
True
Is -419/52901 less than or equal to -1?
False
Which is greater: -5/10441131 or 0?
0
Do 2400370/59 and 40683 have the same value?
False
Is -2599293 > -2599288?
False
Is -3018445 at least as big as -3018320?
False
Is -83 less than or equal to 37710?
True
Is 1036834 greater than 4?
True
Is 104073 greater than 103865?
True
Is -12/3068279 greater than or equal to 1?
False
Are 8 and 26251.1 unequal?
True
Does -4/14869203 = 1?
False
Which is bigger: -9772992/25 or -390920?
-9772992/25
Which is smaller: -6.20383821 or -0.1?
-6.20383821
Is 330 at most as big as 7/80539?
False
Which is bigger: -0.1 or 176291537?
176291537
Which is greater: -1/7899973 or -1?
-1/7899973
Which is smaller: 2681820/11 or 243803?
2681820/11
Is -8183966 <= -8183966?
True
Is -60133 smaller than -60014?
True
Which is greater: 23663 or 23902?
23902
Which is smaller: 134056/93 or 1441?
1441
Which is smaller: 116219 or 116223?
116219
Which is smaller: -1524.7653 or -0.044?
-1524.7653
Which is greater: 4550233 or 4550235?
4550235
Which is smaller: -996527 or -996568?
-996568
Which is greater: 14732374 or 14732375?
14732375
Is -3230607 greater than -3230607?
False
Which is greater: 42118/509 or 82?
42118/509
Which is smaller: 717 or 5804?
717
Which is bigger: -5/29042 or -0.98?
-5/29042
Is -2441256 smaller than -2441260?
False
Which is greater: 740391 or 18509799/25?
18509799/25
Which is greater: -179584812 or 0.1?
0.1
Which is smaller: 1464502 or 1464524?
1464502
Which is smaller: 13626602 or 13626555?
13626555
Which is smaller: -1706650 or -2?
-1706650
Which is greater: 7/134770217 or 0?
7/134770217
Which is greater: 0.11 or -0.137643?
0.11
Is -1175 greater than or equal to 236?
False
Is -2084 at least as big as 25169?
False
Which is bigger: 14596 or 16886?
16886
Which is smaller: -5/66148332 or 1?
-5/66148332
Is 2735740/327 < 8367?
True
Which is greater: -1 or -16322/8827?
-1
Is 3593758/9 at least as big as 399307?
False
Which is greater: 1538752 or 1538755?
1538755
Which is smaller: -8535996 or -8535992?
-8535996
Which is greater: 50 or 1219?
1219
Is 6885 greater than 1344?
True
Are -120448/159 and -759 unequal?
True
Is 282819 at most 0.014?
False
Does 2013 = 1684?
False
Do 1 and -116764030 have the same value?
False
Is -10654725 at most -10654721?
True
Which is smaller: -570 or 0.28278?
-570
Which is smaller: 67921 or -14?
-14
Which is greater: 1 or -756/277933?
1
Is -1 equal to -338/210995?
False
Do -898845 and -898775 have different values?
True
Is 197825843 bigger than 395651685/2?
True
Which is smaller: -240659597 or -1?
-240659597
Which is smaller: -48618 or -52649?
-52649
Which is greater: 0 or -16/23041829?
0
Is 3 at least 2096707?
False
Are -1 and -27743/17835 equal?
False
Is -774/41639 greater than 0?
False
Which is smaller: -2/135 or -1159?
-1159
Which is bigger: 2420 or 360416/149?
2420
Is 3024999 less than 3024999?
False
Is 1/7016309 <= 0?
False
Are -174872 and -175008 equal?
False
Which is smaller: 11103 or 21907?
11103
Is -5616395 < -5616397?
False
Which is smaller: -3 or -35346/15875?
-3
Which is bigger: 95/27811 or -1?
95/27811
Is -43711710/29 at least -1507301?
True
Which is greater: 27461124 or -0.19?
27461124
Is 0 at most as big as 157/212307?
True
Do 23 and -44686 have different values?
True
Which is smaller: 121872 or 2071828/17?
121872
Which is smaller: -288925 or -8956665/31?
-288925
Which is greater: 0 or 1/18863437?
1/18863437
Is 4752563 bigger than 184?
True
Are -353 and -194363/552 non-equal?
True
Does -21 = 670176?
False
Which is bigger: 67378 or 66935?
67378
Which is smaller: 26359459 or 26359452?
26359452
Is -13 at least -7755328?
True
Are -1903.4418 and 26 equal?
False
Which is smaller: 103043 or 1133483/11?
103043
Which is smaller: -973380 or -973392?
-973392
Is 1 < -18/107459431?
False
Is -2465176 less than -2465171?
True
Which is smaller: -1 or -12560/189517?
-1
Is -1 != -1026/112883?
True
Which is smaller: 73 or 75564?
73
Is -30510888 less than -30510930?
False
Which is bigger: -0.3 or -488987/58?
-0.3
Is 130 equal to 127926?
False
Which is greater: 0 or -1/350038379?
0
Is 3542 at most 1058?
False
Is -479240 < -476817?
True
Which is greater: -26 or 0.175051?
0.175051
Which is bigger: -494396749 or -494396750?
-494396749
Which is smaller: -220745358 or -220745357?
-220745358
Does -43109 = -1853696/43?
False
Which is smaller: 72553/12 or 6046?
6046
Which is smaller: -82721543 or -82721542?
-82721543
Which is bigger: -15715816 or -15715813?
-15715813
Which is greater: -21342 or -12635?
-12635
Is -8659/12 at most -43?
True
Which is smaller: -92822 or -2877457/31?
-92822
Is 17894819 less than or equal to 17894843?
True
Which is smaller: -1337/432784 or 0?
-1337/432784
Which is greater: -10672/49031 or -1?
-10672/49031
Is -672 at least as big as -12839?
True
Is 76600133/6 greater than or equal to 12766688?
Tru | {
"pile_set_name": "DM Mathematics"
} |
17676937
List the prime factors of 590897066.
2, 47, 101, 109, 571
List the prime factors of 7146999113.
149, 47966437
What are the prime factors of 6759077278?
2, 83, 40717333
What are the prime factors of 314884794?
2, 3, 7, 31, 241847
List the prime factors of 59093330.
2, 5, 67, 89, 991
What are the prime factors of 183219018?
2, 3, 30536503
What are the prime factors of 2184391939?
173, 12626543
List the prime factors of 1101481661.
7, 19, 23, 397, 907
List the prime factors of 2914522242.
2, 3, 643, 755449
What are the prime factors of 18657904?
2, 29, 79, 509
What are the prime factors of 4488983765?
5, 7, 128256679
List the prime factors of 37899469.
23, 43, 38321
List the prime factors of 1294569353.
7, 11, 107, 157127
What are the prime factors of 59626197?
3, 971, 6823
List the prime factors of 1037026502.
2, 518513251
List the prime factors of 564023023.
419, 1346117
What are the prime factors of 4648219924?
2, 32939, 35279
What are the prime factors of 26628514?
2, 11, 1210387
What are the prime factors of 1408802088?
2, 3, 58700087
List the prime factors of 97402276.
2, 24350569
What are the prime factors of 70575012?
2, 3, 47, 53, 787
List the prime factors of 17524859.
11, 19, 71, 1181
List the prime factors of 79314532.
2, 11, 37, 43, 103
List the prime factors of 26933265.
3, 5, 31, 43, 449
List the prime factors of 28233442.
2, 37, 381533
What are the prime factors of 257976660?
2, 3, 5, 1163, 3697
List the prime factors of 233866745.
5, 7, 397, 16831
What are the prime factors of 2979511114?
2, 1153, 1292069
List the prime factors of 986758322.
2, 11, 2113, 21227
List the prime factors of 1044381206.
2, 11, 991, 47903
What are the prime factors of 74765021?
74765021
What are the prime factors of 54767638?
2, 31, 43, 20543
List the prime factors of 317767677.
3, 105922559
What are the prime factors of 229449545?
5, 13, 743, 4751
What are the prime factors of 769495670?
2, 5, 67, 1148501
What are the prime factors of 420701294?
2, 13, 1163, 13913
List the prime factors of 808211798.
2, 404105899
List the prime factors of 32969246.
2, 16484623
List the prime factors of 15277397.
47, 325051
List the prime factors of 87249462.
2, 3, 14541577
What are the prime factors of 803831128?
2, 17, 5910523
List the prime factors of 5391496922.
2, 7, 1483, 259681
List the prime factors of 55850170.
2, 5, 89, 62753
List the prime factors of 222181392.
2, 3, 941, 4919
What are the prime factors of 592579024?
2, 131, 269, 1051
What are the prime factors of 1069184619?
3, 118798291
What are the prime factors of 659980420?
2, 5, 11, 2999911
List the prime factors of 3937126169.
17, 5669, 40853
What are the prime factors of 1765704719?
61, 28945979
What are the prime factors of 328173077?
29, 11316313
What are the prime factors of 1284655779?
3, 11, 17, 31, 24623
List the prime factors of 90435891.
3, 7, 13, 29, 11423
What are the prime factors of 360758154?
2, 3, 60126359
What are the prime factors of 69175109?
103, 671603
What are the prime factors of 437934739?
11, 17, 2341897
What are the prime factors of 54592557?
3, 149, 122131
What are the prime factors of 236425135?
5, 47285027
What are the prime factors of 110329243?
71, 827, 1879
List the prime factors of 186800431.
59, 367, 8627
What are the prime factors of 15120485?
5, 19, 8377
List the prime factors of 268386368.
2, 167, 25111
List the prime factors of 168545519.
241, 761, 919
List the prime factors of 112875109.
112875109
List the prime factors of 42996333.
3, 2903, 4937
What are the prime factors of 66468481?
47, 557, 2539
What are the prime factors of 426014415?
3, 5, 1229, 7703
List the prime factors of 2416505992.
2, 302063249
What are the prime factors of 2731254?
2, 3, 17, 26777
What are the prime factors of 203324748?
2, 3, 11, 53, 29063
List the prime factors of 25200651.
3, 7, 251, 683
What are the prime factors of 33473109?
3, 251, 44453
List the prime factors of 918222068.
2, 2447, 93811
List the prime factors of 855038582.
2, 427519291
List the prime factors of 3510349546.
2, 11, 283, 563821
List the prime factors of 77781495.
3, 5, 11, 471403
List the prime factors of 238230428.
2, 241, 421, 587
List the prime factors of 128155765.
5, 25631153
List the prime factors of 27533411.
27533411
What are the prime factors of 1128206169?
3, 29, 293, 14753
List the prime factors of 421279083.
3, 15602929
What are the prime factors of 101451184?
2, 19, 333721
List the prime factors of 31012352.
2, 7, 17, 509
List the prime factors of 1305577493.
11, 31, 3828673
List the prime factors of 1217968054.
2, 608984027
What are the prime factors of 359473927?
313, 419, 2741
What are the prime factors of 225190770?
2, 3, 5, 7, 153191
List the prime factors of 4796889840.
2, 3, 5, 6662347
What are the prime factors of 110651480?
2, 5, 2766287
List the prime factors of 122009490.
2, 3, 5, 31, 43, 113
List the prime factors of 107356592.
2, 7, 958541
What are the prime factors of 2686465?
5, 89, 6037
What are the prime factors of 18358141?
149, 123209
List the prime factors of 500705080.
2, 5, 17, 61, 12071
What are the prime factors of 154448704?
2, 2413261
List the prime factors of 1579824031.
1579824031
What are the prime factors of 46164040?
2, 5, 13, 6829
List the prime factors of 8183979587.
7, 18307, 63863
What are the prime factors of 172060669?
11, 1421989
What are the prime factors of 346539582?
2, 3, 137, 140527
What are the prime factors of 2524412883?
3, 239, 3520799
What are the prime factors of 292004232?
2, 3, 13, 47, 19913
What are the prime factors of 488659440?
2, 3, 5, 2036081
What are the prime factors of 22048731?
3, 2449859
List the prime factors of 1223867134.
2, 7, 87419081
List the prime factors of 2145975279.
3, 7, 23, 31, 331, 433
What are the prime factors of 71426505?
3, 5, 89, 53503
What are the prime factors of 70878987?
3, 19, 29, 14293
What are the prime factors of 255591431?
1123, 227597
List the prime factors of 1391644882.
2, 79, 8807879
What are the prime factors of 132447834?
2, 3, 1187, 6199
List the prime factors of 46686152.
2, 5835769
What are the prime factors of 96780341?
7, 167, 11827
List the prime factors of 10487492.
2, 197, 13309
List the prime factors of 17793902.
2, 7, 53, 23981
List the prime factors of 11852368.
2, 11, 67343
What are the prime factors of 84682738?
2, 7, 43, 163, 863
What are the prime factors of 64145317?
53, 1210289
What are the prime factors of 8020468771?
7, 1145781253
What are the prime factors of 153147091?
971, 157721
List the prime factors of 93586518.
2, 3, 41, 211, 601
What are the prime factors of 14608619?
1549, 9431
List the prime factors of 2267055262.
2, 19, 59659349
What are the prime factors of 375893944?
2, 46986743
List the prime factors of 899831454.
2, 3, 17, 8821877
List the prime factors of 194596968.
2, 3, 8108207
List the prime factors of 298950971.
11, 317, 85733
What are the prime factors of 824450540?
2, 5, 41222527
What are the prime factors of 209399289?
3, 11, 83, 89, 859
List the prime factors of 127788275.
5, 521, 9811
List the prime factors of 2643459258.
2, 3, 11, 47, 852179
What are the prime factors of 155881161?
3, 17320129
List the prime factors of 822446453.
822446453
List the prime factors of 4693863429.
3, 521540381
What are the prime factors of 70091012?
2, 79, 221807
List the prime factors of 240407084.
2, 647, 92893
List the prime factors of 669672911.
331, 443, 4567
What are the prime factors of 36126021?
3, 73, 293, 563
What are the prime factors of 144238018?
2, 47, 241, 6367
List the prime factors of 5866826.
2, 7, 419059
List the prime factors of 93434655.
3, 5, 449, 13873
What are the prime factors of 448691758?
2, 1361, 164839
What are the prime factors of 104249792?
2, 233, 6991
What are the prime factors of 202057117?
202057117
What are the prime factors of 2980889524?
2, 745222381
List the prime factors of 95308650.
2, 3, 5, 101, 233
List the prime factors of 656014286.
2, 67, 4895629
What are the prime factors of 35155556?
2, 487, 18047
List the prime factors of 165664893.
3, 113, 488687
List the prime factors of 134043443.
134043443
List the prime factors of 11050689.
3, 13, 41, 6911
What are the prime factors of 454772639?
859, 529421
List the prime factors o | {
"pile_set_name": "DM Mathematics"
} |
1*t - 612. Give c(8).
212
Let m(j) = -83*j**2 + 29*j - 68. Calculate m(2).
-342
Let b(w) = 578140*w - 7515807. Calculate b(13).
13
Let j(w) = -5*w**3 + 8*w**2 + 136*w + 247. Calculate j(-2).
47
Let s(u) = -14416*u - 144544. Calculate s(-10).
-384
Let q(z) = 48*z**2 - 24*z - 1054. Calculate q(5).
26
Let q(c) = c**3 - 26*c**2 - 205*c + 1580. Determine q(31).
30
Let k(y) = 362*y + 18608. Give k(-52).
-216
Let n(b) = 4*b**2 - 224*b + 1725. What is n(47)?
33
Let u(w) = -3*w**3 - 4*w**2 + 297*w - 25. Calculate u(0).
-25
Let q(u) = -3*u**2 + 1293*u + 337117. Determine q(-183).
31
Let l(v) = v**2 - 11262*v + 123756. Give l(11).
-5
Let h(z) = z**3 + 19*z**2 + 116*z + 8893. Determine h(-28).
-1411
Let z(q) = 7376*q - 81194. Give z(11).
-58
Let u(r) = 10*r**2 + 217*r - 250. Give u(-10).
-1420
Let t(d) = d**3 + 19*d**2 - 145*d - 2532. Give t(-11).
31
Let d(c) = 3*c**2 + 3463*c - 45544. Calculate d(13).
-18
Let i(u) = -5*u**3 + 40*u**2 + 172*u + 27. Give i(11).
104
Let k(a) = a**2 + 434*a - 22613. Give k(47).
-6
Let l(i) = -1085*i**2 + 2227*i - 68. Calculate l(2).
46
Let h(z) = -z**3 + 157*z**2 + 5643*z - 6161. Determine h(187).
10
Let w(u) = 14466*u + 86946. Calculate w(-6).
150
Let k(c) = 25281*c**2 - 1921346*c - 757. What is k(76)?
3
Let h(m) = 149*m + 6832. Give h(-48).
-320
Let o(u) = -89937*u - 3507543. Give o(-39).
0
Let l(u) = -1388*u + 47212. Give l(34).
20
Let w(h) = 217*h**2 + 77695*h + 3287. Determine w(-358).
65
Let a(w) = 3531*w + 271894. What is a(-77)?
7
Let g(f) = f**3 + 104*f**2 + 687*f + 10. Give g(-7).
-46
Let i(c) = 2*c**2 - 618*c + 15210. Give i(27).
-18
Let i(b) = -b**3 - 85*b**2 - 259*b - 643. What is i(-82)?
423
Let f(n) = 180*n - 7013. What is f(41)?
367
Let o(b) = 3*b**3 + 2135*b**2 + 7792*b + 2878. What is o(-708)?
46
Let v(a) = -7926*a - 120436. Calculate v(-15).
-1546
Let j(m) = -171*m**2 - 321*m - 20. What is j(-3)?
-596
Let g(i) = 7*i**2 - 134*i - 11375. Give g(51).
-2
Let a(z) = -68*z**3 + 38*z**2 + 2*z - 79. Give a(3).
-1567
Let s(q) = -5953*q - 1303687. Calculate s(-219).
20
Let w(a) = 353960*a - 4601487. Give w(13).
-7
Let c(i) = -2*i**3 + 56*i**2 + 724*i - 3660. Determine c(4).
4
Let g(r) = 74*r**3 - 75*r + 181. Give g(3).
1954
Let b(f) = 3*f**2 + 8815*f - 567256. Give b(63).
-4
Let a(w) = 1671387*w - 38441911. Determine a(23).
-10
Let i(n) = -970*n - 21375. Calculate i(-22).
-35
Let z(l) = 13*l**2 - 172*l + 410. What is z(3)?
11
Let k(c) = c**3 - 28*c**2 - 243*c - 188. Determine k(-9).
-998
Let b(y) = -225*y + 532. What is b(-13)?
3457
Let r(a) = -45*a**2 - 45*a + 121. Calculate r(4).
-779
Let v(a) = -100*a**3 - 2400*a**2 - 2*a - 40. Calculate v(-24).
8
Let z(o) = -12*o**2 - 73*o - 273. Determine z(-4).
-173
Let f(x) = 4*x**2 - 1107*x - 7950. What is f(-7)?
-5
Let g(n) = 4*n**2 - 36728*n + 1681063. Calculate g(46).
39
Let i(k) = k**2 - 55*k - 81888. Give i(315).
12
Let h(o) = 53724*o + 376117. Give h(-7).
49
Let u(r) = -r**2 + 289*r - 20368. What is u(128)?
240
Let j(l) = 6*l**3 - 147*l**2 - 57*l - 10. Give j(24).
-3106
Let r(q) = -1677*q - 222987. Calculate r(-133).
54
Let a(m) = 6*m**3 - 472*m**2 - 76*m - 6493. Determine a(79).
-15
Let h(x) = 30*x**3 + 267*x**2 + 3106*x + 28197. Give h(-9).
0
Let u(c) = 7*c**3 + 6*c**2 - 228*c + 920. Give u(7).
2019
Let q(b) = -10737*b + 5894612. Calculate q(549).
-1
Let i(o) = o**2 - 1009*o + 252976. Give i(544).
16
Let n(l) = l**3 + 10*l**2 - 64*l - 290. Calculate n(-12).
190
Let u(p) = -p**3 - 15*p**2 + 1881*p - 7056. What is u(-53)?
-7
Let b(m) = 15*m**2 - 243*m + 923. Calculate b(6).
5
Let n(l) = 11*l**2 + 270. Calculate n(-17).
3449
Let f(x) = 350*x - 28341. Calculate f(81).
9
Let n(w) = -512*w + 28602. Calculate n(56).
-70
Let g(b) = 5*b**3 + 33*b**2 - 2*b - 709. Calculate g(0).
-709
Let u(w) = w**3 - 32*w**2 - 539*w + 4863. What is u(42)?
-135
Let u(y) = 8752*y - 87590. What is u(10)?
-70
Let y(o) = 1839*o**2 + 121366*o - 8. Determine y(-66).
520
Let d(u) = -9*u**2 + 146*u + 190912. Give d(154).
-48
Let i(j) = j**2 + 811*j + 5715. Calculate i(-7).
87
Let h(u) = u**3 - 561*u**2 - 2146*u + 256052. What is h(564)?
-4
Let l(d) = d**3 + 98*d**2 + 476*d + 35894. Give l(-97).
-869
Let m(r) = 5*r**2 - 94*r + 588. What is m(9)?
147
Let a(z) = 8*z**3 - 20*z**2 - 111*z + 311. What is a(3)?
14
Let f(i) = -i**3 - 62*i**2 - 622*i + 141. Determine f(-14).
-559
Let t(u) = -u**2 + 7500*u + 384789. What is t(-51)?
-312
Let q(u) = -134*u + 4938. Calculate q(33).
516
Let b(c) = c**3 + 168*c**2 + 235*c + 7459. Give b(-167).
-3897
Let u(s) = 61573*s + 492576. Determine u(-8).
-8
Let i(p) = p**3 - 28*p**2 + 45*p + 191. Give i(4).
-13
Let b(m) = m**3 + 180*m**2 + 5297*m + 875. Give b(-143).
17
Let c(x) = 2091*x**2 + 10449*x - 8. Calculate c(-5).
22
Let k(m) = 11190*m**2 - 2137292*m + 378. Determine k(191).
-4
Let d(w) = 2*w**2 + 292*w + 6250. Determine d(-27).
-176
Let o(h) = 267429*h + 2. What is o(0)?
2
Let g(t) = -2068*t - 2043171. Calculate g(-988).
13
Let w(h) = -109*h**2 - 2020*h + 963. Calculate w(-19).
-6
Let p(r) = -r**3 - 22*r**2 + 182*r + 3229. What is p(-24)?
13
Let t(k) = 15529*k + 4068575. What is t(-262)?
-23
Let d(l) = -484187*l + 3389332. Calculate d(7).
23
Let s(k) = -k**3 + 183*k**2 - 3120*k + 56. Determine s(19).
-20
Let s(m) = 20*m**2 - 23014*m - 69055. What is s(-3)?
167
Let x(l) = -26*l**2 - 769*l - 2946. Give x(-25).
29
Let i(r) = 8*r**3 + 276*r**2 - 433*r - 57. What is i(-36)?
-21
Let l(r) = -33854*r + 440092. What is l(13)?
-10
Let o(u) = -u**2 + 2563*u + 54248. Calculate o(-21).
-16
Let c(i) = -i**3 - 273*i**2 - 3134*i - 548. Determine c(-261).
-26
Let k(p) = -1530*p + 5574. Calculate k(3).
984
Let z(i) = -51*i**3 - 354*i**2 - 55. Determine z(-7).
92
Let u(f) = -78*f**2 - 730*f - 181. Give u(-8).
667
Let f(y) = y**3 + 2221*y**2 + 22121*y + 100. Give f(-10).
-10
Let i(z) = -1472*z - 119141. What is i(-81)?
91
Let a(w) = 23*w**3 - 1424*w**2 - 106*w + 70. Give a(62).
1186
Let j(g) = 361*g + 110394. Calculate j(-309).
-1155
Let z(k) = k**3 - 33509*k**2 - 435788*k + 7. Determine z(-13).
33
Let n(i) = i**2 - 73*i + 599. Give n(75).
749
Let l(j) = -56372*j + 507423. Calculate l(9).
75
Let c(d) = -599*d - 4016. Calculate c(-6).
-422
Let v(a) = -5389*a + 43264. Give v(8).
152
Let d(b) = b**2 - 159*b + 5774. Determine d(57).
-40
Let n(a) = -7*a**3 + 6*a**2 - 16*a - 34. Give n(3).
-217
Let g(a) = 2*a**2 - 24324*a + 121545. What is g(5)?
-25
Let d(s) = 2299*s**2 + 6918*s + 73. Calculate d(-3).
10
Let w(z) = z**3 + 120*z**2 - 481*z + 445. Determine w(-124).
-1415
Let v(a) = -2*a**2 - 3534*a + 38726. Give v(11).
-390
Let j(q) = -q**3 + 36*q**2 - 159*q + 11. Give j(5).
-9
Let z(w) = -84*w + 532. Determine z(3).
280
Let z(l) = 3*l**2 + 49*l - 1339. Give z(18).
515
Let u(a) = 26*a - 1046. What is u(45)?
124
Let k(w) = w**3 + 66*w**2 - 1506*w - 104578. Give k(-64).
-2
Let z(v) = v**3 - 40*v**2 - 42*v - 8. What is z(-1)?
-7
Let x(v) = 2*v**2 + 335*v + 12539. What is x(-98)?
-1083
Let g(r) = r**2 + 81*r - 6843. What is g(51)?
-111
Let z(i) = 5*i**2 + 76*i - 31. Give z(-16).
33
Let w(r) = 11669*r + 34436. Determine w(-3).
-571
Let b(s) = -4*s**2 - 969*s - 7411. What is b(-8)?
85
Let k(n) = n**3 - 55*n**2 + 394*n - 92. Give k(8).
52
Let i(k) = k**3 + 42*k**2 + 18*k + 682. Determine i(-43).
-1941
Let f(w) = -w**3 + 2*w**2 + 348*w + 249. Calculate f(20).
9
Let m(n) = 5*n**3 - 22*n**2 - 20*n + 45. Determine m(-6).
-1707
Let w(h) = -26937*h - 7084427. Determine w(-263).
4
Let s(c) = 15*c**3 + 68*c**2 + 14*c + 77. Calculate s(-4).
149
Let z(r) = -1279*r**2 - 10*r - 22. Give z(-1).
-1291
Let i(s) = 1317*s - 12026. Determine i(10).
1144
Let z(f) = -115*f**2 + 10122*f - 253. Determine z(88).
-77
Let i(x) = -37055*x + 185287. Calculate i(5).
12
Let y(u) = 57*u**2 - 24547*u + 192729. Calculate y(8).
1
Let k(a) = -1256*a + 25198. What is k(20)?
78
Let m(b) = -b**3 + 62*b**2 + 515*b - 7240. Determine m(68).
36
Let x(m) = -2*m**3 + 425*m**2 - 192*m - 3353. Give x(212).
887
Let y(p) = -4272*p - 93969. Give y(-22).
15
Let i(c) = -c**3 + 20*c**2 + 917*c - 4946. Give i(5).
14
Let u(b) = -5*b**2 - 29*b + 721. Calculate u(13).
-501
Let g(u) = -1587*u + 19047. Determine g(12).
3
Let g(p) = 2949*p - 17772. Give g(6).
-78
Let l(h) = -h**3 + 19*h**2 + 470*h + 2061. Determine l(-8).
29
Let x(m) = -1015*m + 335520 | {
"pile_set_name": "DM Mathematics"
} |
st one hundred thousand?
600000
Let o(f) = -36998*f - 40. Let g be o(20). Round g to the nearest 100000.
-700000
Let w be 102/1*(-56622)/(-12). Suppose -2*k = -w + 1701287. Round k to the nearest one hundred thousand.
-600000
Suppose 4*j + 2*n = 14, -2*j - 2*n = -0*j - 12. Let d be (-1 - j) + 2100000 + 2. Round d to the nearest 1000000.
2000000
Let p = 2417974 - 1607964. Suppose b + 0*h = 5*h + p, -b + 809996 = 2*h. Round b to the nearest 100000.
800000
Let l be (4/(-6))/(12/(-90)). Suppose l*s + 69945611 = 25445611. Round s to the nearest 1000000.
-9000000
Suppose -3*x + 9 = -3. Suppose 9390 = -2*o + x*o. Suppose 5*h + 4*v = -5830, -4*h - 4*v + 7*v - o = 0. What is h rounded to the nearest one hundred?
-1200
Let h = 9 - 13. Let t(s) = -7 + 1 + 49*s + 2. Let y be t(h). Round y to the nearest 100.
-200
Suppose -2*l = x + 2*l + 35992, l - 2 = 0. Round x to the nearest 10000.
-40000
Let n = 0.047958 - 0.048. What is n rounded to 5 decimal places?
-0.00004
Let m = 83848.6886 + -83880. Let x = 15.3128 + m. Let n = 16 + x. What is n rounded to 3 decimal places?
0.001
Let g = 0.099 - -2.041. Let m = g + -2.488. Let h = m + 0.347809. Round h to 5 dps.
-0.00019
Let o = -2.5 - -1. Let a = o - -0.5. Let p = a + 0.9942. What is p rounded to 3 decimal places?
-0.006
Let o = -1 - -1.55. Let m = 0.54999911 - o. Round m to seven dps.
-0.0000009
Let s = -76.0000078 + 76. Round s to 6 decimal places.
-0.000008
Suppose 4*m - 8 = 2*m. Let x(r) = r**3 + 7*r**2 + 7*r + 5. Let b be x(-4). Suppose -2*z - 3*z - b = 0, -5*y - 38999980 = -m*z. Round y to the nearest 1000000.
-8000000
Let r = 65 - 125. Round r to the nearest 10.
-60
Let h = -0.3 - -0.2. Let t = 104 + -103.898. Let o = t + h. What is o rounded to two decimal places?
0
Let q = 4.3 + -4.76. What is q rounded to 1 dp?
-0.5
Let s = -5 - -8.2. Round s to zero decimal places.
3
Let o = 2.50044 + -2.5. Round o to 4 decimal places.
0.0004
Suppose 3*v + k + 2 = 7, v = 2*k + 11. Let w be (-4*4)/(v/1650). What is w rounded to the nearest 1000?
-9000
Let x = 0.38 - 0.38077. Round x to four dps.
-0.0008
Suppose 0 = -0*f - 2*f - 18. Let n = -3 - f. Suppose 0 = -v + n*v + 40. Round v to the nearest ten.
-10
Suppose 0 = -7*l + 4*l + 3*z - 975, 2*l = -5*z - 664. Round l to the nearest 10.
-330
Let m = -0.1 - 0.9. Let l = 1.705 + -2.71. Let p = l - m. What is p rounded to 2 dps?
-0.01
Suppose 2*b - 916 = -3*a, -6*a - 1369 = -3*b - 8*a. Round b to the nearest 10.
460
Let s = 292.00000127 - 292. Round s to seven decimal places.
0.0000013
Let z = -813747 - -1363747. What is z rounded to the nearest one hundred thousand?
600000
Let p = -1766.197062 + 1773.797. Let r = -7.6 + p. What is r rounded to 5 decimal places?
-0.00006
Let q be -18*3/(-6)*-1. Let a(t) = t. Let v(d) = -6*d**2 - 17*d - 2. Let p(f) = 5*a(f) + v(f). Let y be p(q). What is y rounded to the nearest one hundred?
-400
Suppose 2*g - 540010 = 3*s, -5*g - 179975 = s - 0*s. What is s rounded to the nearest ten thousand?
-180000
Let b = -11.13 + 11. Let k = -0.1314 - b. What is k rounded to 3 decimal places?
-0.001
Let m = 3.0008 - 3. Let g = 0.02 + m. Round g to three decimal places.
0.021
Let b be 2/4 - (-3)/(12/273998). Round b to the nearest one thousand.
69000
Let w = 0.29 + -1.9. Round w to 1 decimal place.
-1.6
Let p = -83 - -81.5. What is p rounded to 1 decimal place?
-1.5
Let m = -0.14 - -1.54. Let r = 0.1 - m. Let w = r + 2. Round w to zero decimal places.
1
Let z = 43 - -741. Let w = z - 558. Let f = 225.99863 - w. What is f rounded to 4 decimal places?
-0.0014
Let n = 26951.92989978 - 26949.2299. Let b = n + -2.7. What is b rounded to seven dps?
-0.0000002
Let b = -340603802.229 + 337713860.228988. Let u = b + 2889948. Let n = -6 + u. Round n to 6 dps.
-0.000012
Let m be (380/(-57))/(2/(-474)). Round m to the nearest one hundred.
1600
Let u = 2.503 - 2.8. Let k = 0.33 - 0.03. Let o = u + k. Round o to three decimal places.
0.003
Let c = 40.6 + -0.6. Let t = c - 39.99999966. Round t to 7 dps.
0.0000003
Let m = 8.28 + 0.22. Let t = m - 8. Round t to 1 dp.
0.5
Let f = 1 + 4. Suppose -f*h - 3*m + 16 = 0, 4*h + h + m = 12. Let a be 1/h + 600003/(-6). What is a rounded to the nearest 1000000?
0
Let b(g) be the first derivative of 203/4*g**4 + 6*g + g**3 - 1 + 8*g**2. Let a be b(-11). Round a to the nearest one hundred thousand.
-300000
Let k(n) be the first derivative of -35*n**2 + 10*n - 3. Let a be k(8). What is a rounded to the nearest 100?
-600
Let h = -25.795062 + 42.7950592. Let r = 16.57 - -0.43. Let y = r - h. Round y to 6 decimal places.
0.000003
Suppose -2*p - 2*p = 5*c - 31, 2*p - 14 = -4*c. Suppose 2*i - 69 = -p. Suppose -2*f + 7*f = -i. What is f rounded to the nearest integer?
-6
Suppose -71*p - 92400 = -77*p. Round p to the nearest one thousand.
15000
Let q = -0.0806 - -0.0805633. What is q rounded to six decimal places?
-0.000037
Suppose -5*k + 16 - 6 = 0. Suppose p - 3 = -4*o, -p - o - k = -5. Suppose -p*q = 2111 - 15311. Round q to the nearest 1000.
4000
Let f = -134 - -133.552. Let y = f - -0.51. Round y to 2 decimal places.
0.06
Let m = -112.94 + 114. Let q = 0.06 - m. Let n = q - -0.2. What is n rounded to the nearest integer?
-1
Suppose 2*n - 14 = j, 4*n + 9 = 25. Let l be (1000/(-3))/(j/(-39600)). What is l rounded to the nearest one million?
-2000000
Let n(c) = -c + 8. Let f be n(6). Suppose 5*k - 12 = -f. Let i be (5 - k) + 997*1. What is i rounded to the nearest 1000?
1000
Let g = 0.003 - 0.013. Round g to 2 dps.
-0.01
Let v = 57.99999577 + -58. Round v to 7 dps.
-0.0000042
Let u = -0.19 - -0.77. Let n = -0.12 - u. What is n rounded to 0 decimal places?
-1
Let s = 23.8415 + -24. Let u = -0.15 - s. Round u to three dps.
0.009
Let m = 146 - 78. Let b = m + -69.53. What is b rounded to 1 dp?
-1.5
Let b = -267.00187 + 267. What is b rounded to three decimal places?
-0.002
Let z = 1.99 + -1.99151. What is z rounded to 4 dps?
-0.0015
Let m = 25 + -35.5. Let a = 24.8 + m. Let u = -12 + a. What is u rounded to the nearest integer?
2
Let y(i) be the second derivative of -7/10*i**5 - 4*i**2 + 0 + 2*i + 2/3*i**3 + 1/4*i**4. Let b be y(6). Round b to the nearest 1000.
-3000
Let n = -139.48 - -1.48. Let j = 137.99939 + n. Round j to 4 dps.
-0.0006
Let k = 37.42 + -36. Round k to 1 dp.
1.4
Let k = -32.99999916 + 33. What is k rounded to seven decimal places?
0.0000008
Let l(i) = i**3 - 9*i**2 + 7*i + 2. Let o be l(8). Let b be o/8*(-8)/2. Suppose 264 - 54 = b*x. What is x rounded to the nearest ten?
70
Let f = 146.99897 - 147. Round f to 4 decimal places.
-0.001
Let l = -1402596351.00004 + 1402651838. Let n = 55489 - l. Let k = 2 - n. Round k to 4 decimal places.
0
Let a be -3 - 0 - -6 - -540. Let k = 2241 - a. Let u = k - -1702. What is u rounded to the nearest 1000?
3000
Let t(j) = -10*j**3 - 3*j**2 + 3*j - 9. Let n be t(-4). What is n rounded to the nearest one hundred?
600
Let p = -1958007.819949 + 1958009. Let d = p - 1.18. What is d rounded to five dps?
0.00005
Let y(x) = -x**2 + 5*x - 4. Let q be y(3). Suppose 2*p = -q*p - 32. Round p to the nearest ten.
-10
Let w = -8 + 8.6. Let p = 42.4 + w. Let m = p + -43.000078. What is m rounded to 5 decimal places?
-0.00008
Let l = 238 - 237.651. Let q = 40 - 40.39. Let t = q + l. What is t rounded to 2 dps?
-0.04
Suppose -6*t + t - 215000 = 0. What is t rounded to the nearest ten thousand?
-40000
Let j(u) = -u**3 - u**2 + 2*u + 3. Let c be j(-2). Let f be (-4)/1 - (2 - c). What is f rounded to 0 dps?
-3
Let p = 1.000166 - 1. Round p to 4 decimal places.
0.0002
Let y = -0.96 - -3. Let z = y - 2. Let q = -0.007 + z. What is q rounded to two decimal places?
0.03
Let w = 4.99 + -5. Let c = w + 0.05. Round c to one decimal place.
0
Let i = 0.7812 + -319.8812. Let c = i - -334. Round c to 0 dps.
15
Let b = 40 - -112. Let i = 99 - b. Let y = 52.99999926 + i. What is y rounded to 7 decimal places?
-0.0000007
Let a = 1.31 - 1.203. What is a rounded to 2 decimal places?
0.11
Suppose -s + 4*c = 10208, 5*s + c + 2*c + 50994 = 0. Round s to the nearest 1000.
-10000
Let h = 2630.734 - 2635. Let r = -7.772 + h. Let m = 12 + r. Round m to 2 decimal places.
-0.04
Let y = 0.05578 + -0.054. What is y rounded to 4 decimal places?
0.0018
Suppose -15 = -11*t + 6*t. Let p be ((-1)/(-2))/(t/(-12)). Let b be (p/2)/((-5)/ | {
"pile_set_name": "DM Mathematics"
} |
s 8 divide l?
True
Let d be 0 + (-2 - -4) - 1. Let t be -2 - (-2)/(d + 1). Does 14 divide (2 + -1)*t*-31?
False
Let u(w) be the third derivative of -w**8/20160 + 7*w**6/240 + w**5/20 - 3*w**2. Let l(d) be the third derivative of u(d). Is l(0) a multiple of 7?
True
Let d(x) = 7*x**2 + 3*x - 6. Is 33 a factor of d(3)?
True
Suppose -2*m - 2 = 4. Does 2 divide (m - (-32)/12)*-24?
True
Let j be 40/(-6)*(-5 - -8). Let g = 29 + j. Does 7 divide g?
False
Suppose 3*h + 14 = u, -2*u = -u - 2*h - 11. Is 2/(-5) - (-167)/u a multiple of 11?
True
Let z(r) = 3*r - 9. Suppose 3*w + 5*g = 21, -4*w - g = g - 28. Is 9 a factor of z(w)?
False
Let b(a) be the first derivative of -a**2/2 - a - 1. Is b(-8) a multiple of 2?
False
Suppose -4 = v - 17. Is 8 a factor of v?
False
Let f(q) = 2*q**2 + 7*q + 5. Let y be f(-4). Let i = y - 1. Suppose 2*h + i = 24. Does 8 divide h?
True
Let d(i) = i**2 + i - 5. Does 9 divide d(5)?
False
Let h = 15 + 54. Is 3 a factor of h?
True
Suppose 7*s = 4*s + 96. Does 8 divide s?
True
Let k(y) = y**3 - 4*y**2 + 4*y - 2. Let i be k(2). Does 8 divide (-1)/2*i + 7?
True
Suppose -2*m - 9 = 1. Let q = 45 + m. Is 12 a factor of q?
False
Suppose -49 - 31 = -4*z. Is 24 a factor of ((-72)/z)/(3/(-20))?
True
Let l = -6 + 20. Let u = 46 - l. Suppose -28 = -4*f - s + 19, 3*f = -4*s + u. Does 4 divide f?
True
Let h(i) = i**3 - 4*i**2 + 2. Let m be h(4). Let d(a) = 2*a**2 + 3*a**2 - 4*a**m - 6. Is 14 a factor of d(-5)?
False
Suppose 10*o - 353 = 697. Is 35 a factor of o?
True
Let b = -4 - -7. Suppose 0 = 3*a - 6 + b. Is 23 a factor of (-4 - -3)*(-47 + a)?
True
Suppose 11 = 5*h - 4. Suppose 0 = -5*w - u + 3*u - 6, -u + h = 0. Suppose 5 = 3*x + 3*q - 13, 2*x + 4*q - 2 = w. Does 5 divide x?
False
Let s = -5 - -12. Let k = s - 2. Suppose 2*b - 38 = 3*v + 14, 5*v - 130 = -k*b. Does 13 divide b?
True
Suppose -18 = -2*p - 2*a, -2*p + 3*a + 23 = -0*p. Does 6 divide p?
False
Suppose -3*m + 6 = 2*q, 2*q - 8 + 4 = -4*m. Suppose 0 = z - 3*z + q. Is z a multiple of 2?
False
Suppose -3*o = 15, -p - o = 2 - 12. Does 8 divide p?
False
Let p be (36/(-30))/((-4)/10). Suppose p*j - 124 = -j. Is j a multiple of 18?
False
Suppose 3*p + p - 5*a = -13, 15 = 3*a. Suppose 2*l = 5*t + 58, p*l + 0*t - 70 = -t. Is l a multiple of 11?
False
Let k be (-21)/(-12) + (-1)/(-4). Suppose k*m + m - 3*p = -6, -2*p = 3*m - 14. Suppose -m*f + 7*f = -3*r + 87, 2*f = -6. Is r a multiple of 17?
True
Does 14 divide -33*33/(-3) + (-8)/(-2)?
False
Let o(l) = l**3 - 6*l**2 + 5*l - 5. Let x be o(5). Let j = 7 + x. Is j a multiple of 2?
True
Let k be (-5464)/4*1/1. Is 14 a factor of k/(-14) - 20/35?
False
Suppose -13*z + 540 = -10*z. Let s be ((-4)/(-6))/(1/6). Suppose -y + 5*g = 4*y - z, -s = g. Does 16 divide y?
True
Let z(b) = -18*b + 1. Let o = 18 + -26. Let n be z(o). Suppose -2*u - 5*x = -n, 0*u + 4*u = -x + 281. Is 19 a factor of u?
False
Let t(l) = l**2 + 5*l + 10. Let n(k) = -k**2 - 4*k - 11. Let d(w) = -3*n(w) - 4*t(w). Let p(u) = -u. Let j be p(6). Does 5 divide d(j)?
True
Let b be 1*(3 + 6 + -1). Suppose o + b = 2*o. Is 8 a factor of o?
True
Let y be (-2)/(2 - (-36)/(-15)). Suppose -5*j = -y*h + 10, -j + 2*j = 3*h - 10. Does 2 divide h?
True
Let s = 31 + -20. Does 17 divide (-4)/(-22) - (-372)/s?
True
Let t = 301 + -142. Is 12 a factor of t?
False
Let z = 73 - 34. Is 27 a factor of z?
False
Let v = -272 + 400. Does 11 divide v?
False
Let p = -3 - -1. Let q(d) = d. Let n be q(p). Is (6 - n*1)/2 a multiple of 4?
True
Let p = 13 + -6. Does 7 divide p?
True
Let c(r) = r + 6. Let y be c(-3). Is 13 a factor of y*52/9*3?
True
Let s = 74 - 32. Does 3 divide s?
True
Let c = 6 - 8. Let f(w) = 9*w**2 + 3*w + 2. Is 14 a factor of f(c)?
False
Let g = -15 + 21. Suppose a = g*a - 100. Is 6 a factor of a?
False
Is (-2)/(-5) - 415/(-25) - -3 a multiple of 16?
False
Suppose -z + 8 = b + z, 2*z - 10 = -2*b. Does 11 divide (b + -3)*(-82)/2?
False
Let u(p) = p**2 + 13*p. Does 45 divide u(5)?
True
Let k = -7 - -4. Let s = k + 3. Let b(q) = q**3 - q**2 + q + 23. Does 9 divide b(s)?
False
Let w(g) = -g**3 - g**2 + 28. Let i be w(0). Suppose -3*p = p - i. Does 6 divide p?
False
Suppose -f = -0*f - q + 4, f = 3*q - 12. Let n be (-46 + 1)*(f + -2). Suppose 5*j = n - 0. Is 9 a factor of j?
True
Let v(b) = -b**3 - 9*b**2 - 9*b - 3. Suppose 2*q = -17 + 1. Let d be v(q). Suppose -d*w = -3*w - 18. Is 9 a factor of w?
True
Suppose 5*o = -3*k + 94, 5*k - 2*k - 9 = 0. Is 10 a factor of o?
False
Suppose -2*t = -t - 4. Suppose -t*p + 66 = 14. Is 13 a factor of p?
True
Let t(a) = -2*a**3 - 6*a**2 - 4*a - 2. Let c be t(-4). Let s = 94 - c. Does 14 divide s?
False
Let f(p) = -3*p + 3. Is 3 a factor of f(-4)?
True
Let y(k) = -3*k**3 + 8*k**2 + 2*k. Let r(i) = 7*i**3 - 17*i**2 - 5*i + 1. Let z(c) = -4*r(c) - 9*y(c). Is 17 a factor of z(-6)?
False
Suppose -3*u = -u - 3*c - 87, -189 = -4*u + c. Suppose -2*h - 18 = -u. Is 7 a factor of h?
False
Suppose 2*m = 5*s + 290, 132 = m + 2*s + 2*s. Is m a multiple of 14?
True
Suppose 0 = -2*p - p - 3*o + 321, 322 = 3*p + 4*o. Does 23 divide p?
False
Let q = 15 + -15. Let h = q - -18. Does 18 divide h?
True
Let g = -47 - -84. Is 18 a factor of g?
False
Let f(o) = 7*o**2 + 3*o + 4. Does 9 divide f(-4)?
False
Is 12 a factor of (9020/28)/11 - (-2)/(-7)?
False
Does 6 divide (-36)/(-3)*(13/4 - 2)?
False
Suppose -o - 138 = -4*o. Does 23 divide o?
True
Let y = -6 + 2. Let t(v) = v**2 - 7*v - 6. Let s be t(y). Let x = -16 + s. Is x a multiple of 22?
True
Suppose -10 = -4*m + 14. Is m a multiple of 4?
False
Suppose 5*x = -x + 450. Is x a multiple of 13?
False
Let l(x) = 44*x + 6. Let m be l(6). Suppose t + 2*t = -m. Is t/(-24) - (-2)/8 a multiple of 2?
True
Let z(a) = 3*a**3 - a**2 - 3*a + 5. Let o(x) = -x - 14. Let s be o(-16). Is 16 a factor of z(s)?
False
Suppose 0 = -2*y + 2, -w + 2*w - 2*y = 153. Does 20 divide w?
False
Let n(s) = s**2 + 11*s + 14. Let u be 43/(-4) - (-1)/(-4). Is 10 a factor of n(u)?
False
Let v be ((-8)/10)/((-6)/135). Suppose 0 = a - 5*a + 12, -i + 5*a = v. Is 6 a factor of i/4*1*-24?
True
Let b(g) = g + 8. Let r be b(-8). Let j = r - -2. Is 8/(1/(j/4)) a multiple of 4?
True
Suppose 200 = -0*c + 2*c. Let w = 146 - c. Let p = w + -21. Is 9 a factor of p?
False
Let l = 175 + -99. Does 34 divide l?
False
Let c(w) = -1 - w**3 + 3 + 3*w - 4*w**2 - 3. Let p be c(-5). Let h = -5 + p. Is 4 a factor of h?
True
Suppose 0 - 10 = -2*z. Suppose -30 - 5 = -z*g. Is 7 a factor of g?
True
Let t(o) = -o**2 + 9*o - 5. Let g be t(8). Suppose g*p = -r + 10, -r + p = -2 - 16. Is r a multiple of 16?
True
Suppose k - 18 = -a - 4*k, -4*a + 4*k = 0. Let x(m) = -a*m - 5*m - 3*m - 2. Is x(-2) a multiple of 20?
True
Suppose 0*v - 5*v = -270. Suppose -3*t = -0*t - v. Does 9 divide t?
True
Let r be (0 + 6)*(1 - 0). Is 80/r - (-2)/(-6) a multiple of 13?
True
Let s = 53 + 3. Does 4 divide s?
True
Suppose 0 = -101*b + 103*b - 370. Is b a multiple of 34?
False
Let o = -79 + 110. Suppose -5*u + 18 = 2*s, -2*u + 3*s - 3 - 5 = 0. Suppose -u*k + o = 3*q, -3*q - 5 = -2. Is k a multiple of 5?
False
Suppose -5*i + 2 = -4*i. Suppose -4*m = 3*z - 242, 4*m = 6*m + i*z - 122. Let h = m - 41. Is h a multiple of 12?
False
Suppose 2*f = 2*g - f + 13, 22 = -5*g + 4*f. Let k = g + 4. Does 14 divide -3 + 129/(1 + k)?
False
Let g = 121 - 61. Is g a multiple of 15?
True
Suppose 5*t = -2*s + 109, -5*s + 0 = t - 8. Suppose -t = -5*a + 52. Does 11 divide a?
False
Let j(c) be the second derivative of c**4/12 + 2*c**3/3 + 5*c**2/2 + 13*c. Suppose 2*s + 11 = -3*b, -b - 4*b - 31 = -3*s. Is 5 a factor of j(b)?
True
Suppose 2*m = m + 6. Let b(x) = -2*x**2 - 4*x + 4. Let t(o) = -3*o**2 - 4*o + 4. Let r(q) = 4*b(q) - 3*t(q). Does 16 divide r(m)?
True
Is 12 a factor of -26*(-2 - 6/(-4))?
False
Let b(p) = 9*p + 63. Does 66 divide b(15)?
True
Suppose -7*g - 79 = -660. Is 12 a factor of g?
False
Suppose -3*x = 2*h - 5*h + 177, 2*x + 172 = 3*h. Is h a multiple of 18?
True
Let f = 199 + -117. Suppose 0 = 5*d - 0*n + 4*n - 97, 0 = 5*d - n - f. Is d a multiple of 17?
True
Let b(k) = 39*k. Let j be (-2*(-2)/(-4))/(-1). Does 10 divide b(j)?
False
Suppose 4*m = -12, -v + 2*m + 10 + 1 = 0. Suppose 5*j + 3*f = -5, 5*j - v = -0*j - f. Suppose 3*b - 90 = -j*b. Is b a multiple of 9?
True
Is 12/(-10)*(-150)/20 even?
False
Let r = 1 + 4. Suppose 0 = - | {
"pile_set_name": "DM Mathematics"
} |
-3*b = 3 - 12, b = q + 1. Solve -q*o = 3*z + 5 - 23, 3 = o for z.
4
Let r be (216/45)/((-3)/(-50)). Suppose -3*s = -5*i + r, -3*s + 7*s + 76 = -i. Let f = -14 - s. Solve b - 5*z - 12 = 0, 2*z + f + 0 = b for b.
2
Let u(m) = -6*m - 2*m**2 + m**3 + 12 + 3*m**2 - 3*m**2. Let g be u(3). Solve 3 = -4*f - g*z, -2*z - 2 + 5 = f for f.
-3
Suppose a - 1169 = -1162. Solve a = -l - 4*u, 3*u + u = l - 17 for l.
5
Suppose -3*j + 6 = -o, -41 = -5*j - 2*o - 31. Solve -j*a - 3 = 5*r - 9, -5*r = -2*a + 6 for r.
0
Let u = 563 - 546. Solve -4*m - 6 = 3*p + u, 0 = 3*p - 3*m - 12 for p.
-1
Let m be (12/7)/(4/28). Solve 4*b = -g + 20, g + m = 2*b + 2*g for b.
4
Let f(l) = -l + 10. Let s(u) = u**3 + 7*u**2 + 10. Let a be s(-7). Let x be f(a). Let d = x + 1. Solve -i + 15 + d = -5*c, 4*i = 4 for c.
-3
Suppose -2*h = -h - 8. Let b(q) = 2*q - 11. Let s be b(h). Let l = 53 - 41. Solve 4*k + l = 4*j, -s*j - 3*k + 45 - 14 = 0 for j.
5
Let w(m) = -7*m + 9*m - 5*m - m. Let l be w(-1). Solve -2*h = -l*i - 6, i + 12 = -3*h - 0 for i.
-3
Let k = 11 - 11. Suppose k = 4*x + 2*x - 24. Solve -4*q - 12 = x*r, -q = 3*r + 4 - 1 for r.
0
Suppose -10*a - 45 = -5*a. Let z be 4 + 2 + -3 - a. Solve s - z = -2*r, -2*r + 3*s = -0*s - 4 for r.
5
Suppose -2*y - 22 = -3*u - 6*y, 0 = -5*u + 5*y + 25. Let k = 14 - u. Solve n + 13 = 5*p - 2*n, -2*p + k = -4*n for p.
2
Let p(i) be the second derivative of i**3/6 + 17*i**2/2 + 9*i. Let z be p(-14). Solve -5*t - 4*x - 25 = 0, 2*t + z*x + 6 = -11 for t.
-1
Suppose f + 10 = -5*q, -8*q = -4*f - q + 41. Solve 0 = -u - d - 3*d - f, 2*u = d - 10 for u.
-5
Let x be 296/14 - (-2)/(-14). Suppose 6 = -4*u + b + x, -2*u - 4*b = 6. Let a be (u - (2 + -4))*6. Solve 0 = v + 5*q + a, -4*q = -5*v + 4*v + 15 for v.
-5
Suppose -2 = -2*h + 8. Suppose -5 = -5*i, 2*i + 4 = h*p - 14. Solve -p*u - 16 = 0, 3*s + 4*u + 13 = -0*u for s.
1
Suppose 3*x = 79 + 32. Solve -3*y - 2*r + 21 = 0, 6*y - y + 4*r = x for y.
5
Suppose u = x - 3 + 69, 4*u - 78 = x. Let f = 64 + x. Solve 0*d + 3*d = -v - 2, f*v - 6 = -d for v.
4
Suppose 2*a + 4*b = 2*b + 42, 0 = 4*a + b - 99. Solve -6*l = -2*x - 2*l - a, 28 = -x + 5*l for x.
-3
Let z(y) = 2*y**2 - y**2 - 4 + 4*y + 7. Let t be z(-4). Suppose 5*p + 3 = 3*k + 1, t*k - p - 10 = 0. Solve k*o + 3*r - 9 = 2*o, 0 = -2*o - 5*r + 19 for o.
-3
Suppose 3*k + 4 = 4*k. Suppose -k*h - 16 = -5*w, -w - 2*w + 5*h = -20. Solve 3*v + v - 32 = 4*d, w = -3*v - 4*d - 11 for v.
3
Let i = -492 + 496. Solve i*n = -4*r - 4, 4*r - 2 - 9 = n for r.
2
Let u = 17 - 2. Let m = -5 + u. Suppose 5*j + 7 = -5*s + 22, 0 = 2*s - j - 12. Solve -5*p + 3 = -s*l - 22, 2*p - m = 0 for l.
0
Let i(q) = q**2 - 7*q - 5. Let d be i(6). Let v = 27 + d. Solve 4*c + v = -3*f, -3*f - 6 = -2*c + 4 for f.
-4
Let v(s) = -s**3 - 19*s**2 + 68*s + 50. Let d be v(-22). Solve d = w + f, 4*w - 15 - 4 = f for w.
5
Let i = -18 + 84. Let l = -61 + i. Solve 3 = -3*k + 2*f + f, l*k - 4*f = -3 for k.
1
Suppose 0 = -c - 2*c + 21. Suppose 0 = -2*t - 2*r + 16, -44*t - 4*r = -47*t - 11. Solve p - 3 = -2*j, -t*j - 3*p = -c - 2 for j.
0
Let o(a) = 5*a**2 - 3 + 2*a**3 + 13*a**2 + 4*a - 22*a**2. Let c be o(2). Solve -4*g = -4*r + 5*r + 11, -11 = -c*r + 2*g for r.
1
Let c(k) = -6*k - 45. Let u be c(-8). Suppose 0 = 2*d + 2*d - 4. Solve 3*t = -2*f - 27 + 4, 0 = u*t - 4*f - d for t.
-5
Suppose 0 = -3*c + 4*c. Suppose -3*j - 2*j - 45 = c. Let i = 9 + j. Solve 0 = -4*p - p, i = 3*b - 3*p - 6 for b.
2
Let r = 510 - 510. Solve r = -5*t + 5*g, 2*g - 2 = -5*t + 5 for t.
1
Let p = -865 + 869. Let f be (-1 - -2)*2*1. Let j = 0 + f. Solve 12 = -p*w - j*k - 2, 0 = 4*w - 2*k - 6 for w.
-1
Let o be (-11)/5 - 3/(-15). Let m be 2 + (3 - -1) + o. Suppose -3*k - 4*k = -28. Solve 6*u + m*h = u, -k*u = 2*h for u.
0
Let i(m) = m**2 - 3. Let x(k) = 3*k**2 - 6. Let h(s) = 5*i(s) - 2*x(s). Let q be h(0). Let z = q - -6. Solve -2*a = -z*n + 17, -5*n + 3*n + a + 11 = 0 for n.
5
Suppose 0 = -4*v - 2*k + 10, -4*v + 11 = -0*k + k. Solve 3*y - 5*x = 4 - 12, y - v = -4*x for y.
-1
Let v(c) = 8*c - 206. Let s be v(27). Solve s = y - 3*l, 10*y + 2*l = 9*y for y.
4
Let m be -2 - 3/((-18)/48). Solve -4*d = 5*a + m - 1, -4*a = -2*d - 22 for d.
-5
Suppose 4*i = -5*k + 42, 5*i - 2*i - k = 41. Solve 0 = 5*n - t + 6*t - 35, n + 3*t = i for n.
4
Let r be 21/(-14) - (-5)/(-2). Let z be (3/(-9))/(r/132). Suppose -6*v + z*v = 30. Solve -p + 4*s = -3*p - v, 2*s + 4 = -2*p for p.
-1
Suppose -89*m + 463 = -249. Solve -2*a = -2*p + 12, m*a = 3*a - 10 for p.
4
Suppose 2*x - 6*r + 4*r - 40 = 0, 4*x = 5*r + 78. Solve -4*s = 3*c + 3 - x, -c = -5 for s.
1
Suppose -k = -2*k. Suppose k = -2*z - z + 3. Let i = z + -1. Solve 5*w + p + 11 + 7 = i, -4*p = -5*w - 28 for w.
-4
Suppose 4*j + 16 = -40. Let m be (-1 - (-9)/12)*-76. Let f = m + j. Solve 4*u + s = 3*u - 1, -u - 5*s = f for u.
0
Let l be 62/20 - ((-917)/(-70) + -13). Solve b + 7 + l = 5*i, b + 6 = i for i.
1
Suppose -4*q + 242 + 58 = 0. Let a = q - 74. Solve -3*s = 3*i - 7*i + 1, 5*s = 4*i + a for i.
1
Let f be (3/2)/(1/(-12)). Let j = f + 24. Solve 5*b + j*q = 5*q + 15, -b + 7 = q for b.
2
Suppose -4*w - 60*v = -55*v - 5, -3*w = v - 1. Solve w = -0*o + 3*o - 2*c + 2, -4*o - 4*c = -4 for o.
0
Let y = 115 - 108. Let h(b) = b**3 - 6*b**2 - 8*b + 12. Let t be h(y). Solve -t*c + 4 = -3*f - 22, -2*f + 4 = 2*c for f.
-2
Suppose 3*j - 3 = -0*j - 5*b, -4 = -4*j - 4*b. Let v(a) = -a**3 - 5*a**2 - 1. Let f be v(-5). Let k be j/((-28)/32 - f). Solve i + d = 3*i, 3*d = 2*i + k for i.
2
Suppose 13*o - 3*o - 150 = 0. Let f(n) = -n**3 + n**2 - 1. Let m be f(-2). Let a = o - m. Solve -3*r + 17 = 5*t - 1, 0 = -t - r + a for t.
3
Suppose -2*u - 24 = -8*u. Suppose 3*b = 2*b - 2*a + u, -a = 4. Solve 3*v - v = 2*z - b, 0 = -4*v - 5*z + 12 for v.
-2
Suppose p - 4 = 54. Let s = 60 - p. Solve 2*y + j - 11 = -3*y, s*y - 3*j - 18 = 0 for y.
3
Let i(j) = 10*j - 278. Let f be i(28). Solve 3*k - 5 = -f*n, 0*n = 5*k - 5*n - 25 for k.
3
Let k(r) = 20*r + 143. Let t be k(-7). Let l be (15*(-7)/(-84))/((-1)/(-4)). Solve -l*b = -v + 12, t*b + 0 = -6 for v.
2
Let t(s) be the third derivative of s**4/24 - 2*s**3/3 - s**2. Suppose -5*a = 5 - 45. Let g be t(a). Solve -2*n + 2 = 4*z - g*n, 0 = 3*z - 5*n + 16 for z.
3
Let n = 778 + -775. Solve -4*i = 4*r + 4, -4*r = 5*i - n + 7 for i.
0
Suppose n + 6 = -2. Let w be 2/(1/1*(-8)/n). Solve -5*d - w*l = -7*l - 35, 0 = 2*d + 4*l + 10 for d.
3
Let c = 318 - 313. Solve c*h = 2*z - 2, 0*z + 12 = -3*z for h.
-2
Let i = 9 + -5. Let u = 3582 - 3578. Solve 2*r = -i*q, -5*r + 4*q = u + 10 for r.
-2
Let n(q) = 7*q + 9. Let g be n(4). Let o = g - 37. Solve 3*m + 8 = -4*l - o*l, -4*l + 2*m + 12 = 0 for l.
1
Suppose -c = 2*x - 4 - 5, 4*c - 26 = -3*x. Suppose -10*t = -9*t. Solve -3*y - 20 = -0*y - c*d, y + d - 4 = t for y.
0
Suppose 0 = 3*q + 2*q + 50. Let o = q + 15. Suppose -2*c - 63 = -o*c. Solve -2*x + 4*n - c = -5*x, -n = -3 for x.
3
Let i = -11 - -29. Suppose -i = -m + 4*q, -2*q = -4*m - 0*q + 30. Suppose -m = -2*s + 4. Solve -5*v - w - 2 = -8, s*w = -20 for v.
2
Suppose 4*u = 16, -10 = -2*m - 4*u + 16. Solve -f - 15*p + 10*p = 4, 2*p - 3 = -m*f for f.
1
Suppose -61*z + 5 = -56*z. Let s(a) = 7*a - 3. Let u be s(z). Solve -y = 4*i - u - 14, 5*y = i - 15 for y.
-2
Suppose 4*n + 55 + 9 = 0. Let y = -12 - n. Solve -v + 4*v = -q + 18, q - 23 = -y*v for v.
5
Let p(x) = -x**2 + 10*x - 8. Let v be p(9). Let c be (v + -5)/(4/(-16)). Let i be ((-10)/8)/((-2)/c). Solve w = 5*u - 19, 4*u - 4*w = 18 + i for u.
3
Let d(t) = t**3 + 4*t**2 + 2*t. Let s be d(-3). Let y(c) = 2*c**2 + 2*c - 2. Let i be y(-2). Let n = i + 2. Solve n*a = -5*m - 15, 4*a - s*a - 6 = 2*m for a.
0
Suppose -99 = o + 2*c, -6*c - 525 = 5*o - 11*c. Let u = o - -106. Solve -3*i + 5*l - 15 = 2*i, -3*i + 3 = u*l for i.
-1
Let h be (-3 - 66/(-10)) + 6/15. Solve -4*n + h*x - 24 = 0, -3*n - 2*n + x - 22 = 0 for n.
-4
Let q be (-4 - -13)/(2 - 3). Let h = q + 17. Solve 0 = -j, 0*j = -4*r + 2*j - h for r.
-2
Suppose 71 - 95 = -8*a. Solve -5*c + a*y = -17, y + 2*y + 5 = 2*c for c.
4
Suppose 391*a = 388*a + 9. Solve 0*r + 5*t = -a*r, -4*r + 35 = -5*t for r.
5
Let r = -97 - -105. Let u be 12/2 - (r - 4). Solve 4*i - 12 - 16 = -u*q, 3*q = 12 for i.
5
Let m = 34 - 40. Let r be m/4*(-3 - -1). Solve -4 = -b + 1, -5 = r*y - b for y.
0
Let o(q) = q**2 + 7*q. Let w be o(- | {
"pile_set_name": "DM Mathematics"
} |
188 + -180). Do i and w have different values?
True
Let l = -750 - -750. Which is bigger: l or -1271?
l
Let t = 23.068 + -23. Let p = t + 0.132. Which is greater: -0.11 or p?
p
Let m(v) = v**2 + 0*v**2 - 2*v - 2*v. Let q be -28*(-3)/24 - (-2)/4. Let p be m(q). Which is smaller: 1 or p?
p
Let c = 104 + 96. Is c not equal to 200?
False
Let h = 25 - 22. Suppose -d - 2*p = 31 - 8, -d + 3*p - h = 0. Do d and -15 have the same value?
True
Let j be (35/14 - 5)/((-3)/(-24)). Which is bigger: -101/5 or j?
j
Let y(m) be the first derivative of -m**2/2 - 3*m + 2. Let h be 2/(-2)*(4 + 3)*1. Let n be y(h). Is n at most as big as 4?
True
Let z = 17 + -12. Suppose 3*g - 4*k - 2 = 0, z*g - 5*k - 6 + 1 = 0. Suppose -g*l = 4*d, d + 2*d + 4*l = -10. Is d != 3/2?
True
Let f(p) = 6*p**2 - 22*p + 11. Let t be f(4). Which is bigger: 30 or t?
30
Suppose 5*z + 115 = -115. Let r = z - -39. Is r at most 3?
True
Let k = -19508 + 390477/20. Let q = k - 16. Is 0 at least q?
True
Let y(v) = 2*v**2 - 6*v - 417. Let s be y(-13). Suppose -3*g + x + 200 = 0, -3*g + 157 + 45 = -2*x. Which is bigger: s or g?
g
Suppose -9*w + 12*w + 78 = 0. Are w and -22 non-equal?
True
Suppose -58*s = -65*s - 21. Is 98 >= s?
True
Let i = -28 - -46. Suppose 0 = -11*o - i + 7. Which is smaller: -7/6 or o?
-7/6
Suppose -4*d + 13 = 5*n, -18 = -n - d - 15. Which is smaller: -2/1791 or n?
-2/1791
Let i be (2 - 133/2)/(135/270). Is i != 1?
True
Let t(s) = -6*s + 9. Suppose 11*v - 30 = 9*v. Suppose -v = -8*c + 3*c. Let k be t(c). Which is smaller: k or -10?
-10
Suppose 3*x + 9 = -5*p, p + 9 = 2*x + x. Suppose -x*a - a = 2*a. Do 0 and a have different values?
False
Let o = -31 + 54. Suppose 5*c = -37 - o. Let n be (9 + 0)/(-1) + -2. Which is smaller: n or c?
c
Let a be 1 - 1/(-4)*-5. Let p(u) = -u**3 - 36*u**2 + 114*u - 117. Let f be p(-39). Which is greater: f or a?
f
Let w = 2/3605 - -14122/537145. Is w less than 0?
False
Let s(v) = -v**3 + 5*v**2 + 16*v - 14. Let j be (-3 - 4/4) + 11. Let t be s(j). Which is smaller: 2 or t?
t
Let n be (-6 - -1 - -4)*2/(-11). Let x be (-1)/4 - (0 + (-45)/(-12)). Which is greater: n or x?
n
Let o(p) = -2*p + 2. Let z(s) = -s - 1. Let c(a) = o(a) - z(a). Let q be c(0). Suppose -10 = -q*r - 1. Is 4 at most r?
False
Let i be (-7)/((-21)/(-6)) + 322. Suppose 604 + i = 3*j. Let r = 595/2 - j. Which is smaller: -10 or r?
r
Suppose 471*o - 468*o + 381 = 0. Is -128 < o?
True
Let h = -68289/38234 + 1/2731. Which is smaller: h or -3?
-3
Let v = 2189.937 - 2191. Let u = v - -0.063. Which is greater: 0.61 or u?
0.61
Let w = -264.53 + 253.489. Let j = -0.041 - w. Which is smaller: j or -0.1?
-0.1
Let p(r) = r - 26. Let t be p(29). Suppose -5*q - t = -4*k - 18, 2*k = 5*q - 5. Is 10/29 <= q?
False
Suppose -13*a + 4*h - 16 = -12*a, 4*a + 20 = 5*h. Is 3/1513 at least a?
True
Suppose w - 4*w + 36 = 3*x, 4*w - 42 = -x. Let l be 4/w - (-104)/65. Let y be l - (-3)/(-1 + -2). Are 0 and y non-equal?
True
Let a(q) = q**2 + 5*q - 14. Let x be a(-7). Suppose x = -5*d + 15, 0*l + 4*l - 3*d - 11 = 0. Are l and 40/9 equal?
False
Let o be 0 + 286/14 - -1. Let n = -419/14 + o. Is -1 less than n?
False
Let h = 0 - -8. Suppose 7*b = 3*b - 72. Let m = b - -17. Which is smaller: m or h?
m
Let n(w) = -3*w - 43. Let v be n(-13). Which is smaller: -18/5 or v?
v
Let p be (-36)/14 + (140/10 - 11). Which is smaller: 9.9 or p?
p
Let g = 26992 + -26907.945. Let u = g + -0.055. Which is smaller: u or -2/5?
-2/5
Suppose -3*k - 1 = -10. Suppose 0 = 7*x - 200 + 193. Which is bigger: k or x?
k
Let r be 2 + (-644)/(-16) - 2/8. Suppose r = 3*h + 3. Are 3 and h nonequal?
True
Let x be (10/(-16))/(5/(-6)). Let p = -11.02 - -11. Which is smaller: p or x?
p
Let c = -242/5 - -48. Let w = 10 + 0. Let h = 0 + w. Is c at most h?
True
Let n = -1.62 + 4.62. Suppose 17*z - 20*z + 6 = 0. Is n greater than z?
True
Let t = -33 - -499/15. Are t and 0 equal?
False
Suppose -3*j + 7*j = -2*l + 106, -3*j - 2*l + 82 = 0. Suppose 0*f - j = 4*f. Which is greater: f or -4?
-4
Let v = 0.39 - -0.11. Which is smaller: -62 or v?
-62
Let y(x) = 2 + 4 - x + 0. Let p be -3*(-15)/9 - 1/1. Let i be y(p). Is i at most 4/7?
False
Let a = 22 + -18. Let t(q) = -q**2 + 4*q + 1. Let p be t(a). Suppose 3*l = 5*u + 6, 3*u = l - p - 1. Is l smaller than 2?
False
Suppose 3*p - 2*n = 282 + 11, 388 = 4*p - 2*n. Suppose -5*k = 35 - p. Let v be (-10)/(-30) - (-2)/k. Which is bigger: v or 2/7?
v
Suppose -5*z - 13 + 3 = 0. Let a be ((-24)/20)/((-9)/6). Is z less than a?
True
Suppose 2*w - 13 = 5*s, -8 = -w - s - 5. Which is greater: w or -4?
w
Let a be (-2)/564*-4*-3. Let i = -235 - -235. Is a less than i?
True
Let m = -3201/7 + 456. Let a = -1/219 + 74/219. Is m bigger than a?
False
Suppose -3*p = 2*p + 10. Let k(a) = 14*a**3 + 2*a + 2. Let j be k(0). Which is smaller: j or p?
p
Let b(x) = -x**3 + 10*x**2 + 10*x - 11. Let w be b(11). Let k be w/(-24) + 5/(-20). Let g = -3.3 - -3.2. Which is greater: g or k?
k
Let t(h) = -4*h**2 + 5*h + 2. Let l be t(4). Let x = 471 + -512. Which is smaller: x or l?
l
Let i be ((-30)/85)/3 + 210/3519. Which is bigger: i or -1?
i
Let y(v) = 8*v - 12. Let w be y(0). Let d be 0 - ((-2)/(-14))/((-6)/w). Which is greater: d or 1?
1
Let t be -205 - -207 - 64/18. Which is smaller: t or 2/5?
t
Let v be -2*(-6)/16*242/6. Which is greater: 1 or v?
v
Suppose 3*v - 3*s = 7*v - 1773, 3*v - 1336 = 4*s. Are v and 444 unequal?
False
Let r be (2 - 5 - -5)/(1/(-46)). Are -95 and r non-equal?
True
Let k be -4*(-3 - (-12004)/4048). Let f = -27/8 + 629/184. Let y = f + k. Which is smaller: 0 or y?
0
Let m be ((-12)/(-22))/3 - 186/(-66). Suppose m*i - 1 = 35. Let d = 104/3 - 35. Which is smaller: i or d?
d
Let f be (267/4)/(12/24). Which is smaller: f or 133?
133
Let h = -12 - -1. Let n = -8 - h. Suppose -5 = n*z - 11. Is z at most 4?
True
Let f be 6*2*2/(-8). Let l be 3/7 - f/(-7). Let q = -61/3 - -424/21. Which is smaller: l or q?
q
Let o(y) = y**3 - 12*y**2 + 46*y + 19. Let r be o(9). Are 952/5 and r non-equal?
True
Suppose -b - 6 = u, -14 = 2*u - u + 5*b. Let p be 16/u + 2 - -3. Is 4/35 smaller than p?
True
Let b be (40/(0 - 1))/(18/27). Let j = -119/2 - b. Let k be 4/(-12) - (-2)/6. Does j = k?
False
Let x be ((-8)/5)/(-4)*5. Suppose -34 - 4 = -19*k. Are x and k unequal?
False
Let x = 34 - 41. Is -5 at most x?
False
Let m(v) = v**3 + 10*v**2 + 6*v - 1. Let u(n) = 4*n**3 + 31*n**2 + 17*n - 3. Let a(g) = 7*m(g) - 2*u(g). Let z be a(9). Let i be 0*(-2 - z/4). Is i < 1/2?
True
Let m(a) = a**2 + 1. Let d be m(1). Suppose -d = -2*p + 6. Let g be p/(-3)*(-12)/(-8). Is g at least as big as -2?
True
Suppose -5*i = 2*q + 7, q + 2*i = -q + 2. Let r be (q/((-2)/1) - -2)/(-3). Is -1/41 >= r?
False
Let a(k) = -k**3 + 7*k**2 - 5*k - 5. Let x be a(6). Let f = x - -1. Suppose 3*o = 3*w, -2*w + 6*w = 0. Is o equal to f?
False
Let v(p) = p**3 + 5*p**2 + 6*p. Let f be v(-3). Are f and 2/1031 equal?
False
Let m be 6/((-6)/63 + 0). Let h be ((-9)/m)/(-1 + 0). Let r = 6 - 5. Which is smaller: h or r?
h
Let k = -184 + 192. Is -10 at most k?
True
Suppose -3*t = a - 0 - 2, -3*t + 3 = 0. Let g be (-5 - -4)*(-1)/275. Let q = g - -527/6325. Which is smaller: q or a?
a
Let v = -10.2 - 1.8. Let t be (27/3 - -1)/(8 - 10). Which is smaller: v or t?
v
Suppose 4*p + 5*v = 11, 12*v - 6 = 3*p + 11*v. Is -3/34 less than p?
False
Let v = -1 + 5. Suppose -237 = -2*b - t, -4*b + 0*t + 472 = v*t. Let i = b - 223/2. Does 8 = i?
False
Let p be (-634)/6 + 2/3. Let u be (-6 + p/(-18))*(-2)/(-3). Is u less than or equal to 0?
True
Suppose 31 = 45*f - 14. Let a be 4/(-70)*(-6 - -5). Is a at most as big as f?
True
Suppose x - 25 - 4 = -4*y, -2*x + 48 = 3*y. Let f = x + -21. Is f >= -2/203?
True
Let k = -397/5 - -81. Let v(q) = q**3 - q**2 - 4*q + 7. Let f be v(2). Which is smaller: k or f?
k
Let k = -7 - -8. Let y = k - 1. Let x = -4 + y. Which is smaller: x or 4?
x
Let h = 1185 + -1169. Suppose 5*f - 67 = 4*t, 0*f = -f - 2*t + 19. Is h at most as big as f?
False
Let q = -7731/19 - -407. Let i be ((6/2)/1)/1. Suppose 0 = 3*b - i - 0. Which is smaller: b or q?
q
Let n = 794 - 167. Which is bigger: 1 or n?
n
Let j(w) = -w. Let b be j(-1). Let y = -72 + 323. Let i = -4013/16 + y. Do i and b have the same value?
False
Let f = -69 - -72. Suppose -4*n + 14 = -5*s, 2*n - 3*n + f*s = -7. Which is sma | {
"pile_set_name": "DM Mathematics"
} |
icked without replacement from {c: 3, o: 4, g: 2, w: 3, i: 6, u: 1}?
2/57
Calculate prob of sequence jxti when four letters picked without replacement from {e: 2, j: 1, t: 1, x: 1, v: 1, i: 1}.
1/840
Three letters picked without replacement from iwbuiho. What is prob of sequence uib?
1/105
Four letters picked without replacement from {o: 1, y: 1, f: 3}. Give prob of sequence ffoy.
1/20
What is prob of sequence yyyy when four letters picked without replacement from {y: 5}?
1
What is prob of sequence vea when three letters picked without replacement from {z: 2, v: 7, e: 7, a: 2}?
49/2448
Calculate prob of sequence di when two letters picked without replacement from {c: 4, i: 1, d: 4, q: 1, s: 1}.
2/55
Calculate prob of sequence bk when two letters picked without replacement from {v: 2, b: 1, k: 2}.
1/10
Four letters picked without replacement from bbabaaa. What is prob of sequence abaa?
3/35
What is prob of sequence dgdv when four letters picked without replacement from dgvggkkgkgdvkdd?
1/273
Two letters picked without replacement from {n: 3, i: 1, y: 5, r: 1}. Give prob of sequence iy.
1/18
Calculate prob of sequence hwdd when four letters picked without replacement from {w: 2, h: 1, v: 1, r: 10, d: 2}.
1/10920
Three letters picked without replacement from kkiixykkxikiyikxkxro. Give prob of sequence kox.
7/1710
Calculate prob of sequence dtpp when four letters picked without replacement from pdpt.
1/12
What is prob of sequence xccx when four letters picked without replacement from {x: 3, c: 12}?
11/455
What is prob of sequence sm when two letters picked without replacement from kjsyyjjyymsys?
1/52
Three letters picked without replacement from {d: 3, x: 3}. Give prob of sequence dxd.
3/20
Three letters picked without replacement from phxhxnwj. Give prob of sequence jhh.
1/168
Two letters picked without replacement from {e: 6, k: 9, s: 2}. What is prob of sequence kk?
9/34
What is prob of sequence ii when two letters picked without replacement from aaaiaaii?
3/28
Calculate prob of sequence kk when two letters picked without replacement from ekcxbbbcxbbbkybe.
1/120
Two letters picked without replacement from {n: 2, p: 1, e: 1, v: 4, w: 2, g: 2}. What is prob of sequence gg?
1/66
Calculate prob of sequence tlf when three letters picked without replacement from fizzliztzltztifztznt.
1/342
Two letters picked without replacement from sssnknsssnssn. What is prob of sequence nk?
1/39
What is prob of sequence vdy when three letters picked without replacement from {v: 3, d: 1, k: 1, y: 3, f: 6}?
3/728
What is prob of sequence kkqk when four letters picked without replacement from qrkkk?
1/20
Two letters picked without replacement from wwittttyiwilrrt. Give prob of sequence lw.
1/70
What is prob of sequence xt when two letters picked without replacement from xtwwt?
1/10
Four letters picked without replacement from {s: 1, j: 4, e: 10, f: 2}. What is prob of sequence sjef?
1/714
Four letters picked without replacement from jejeetceuijijui. What is prob of sequence tici?
1/5460
Two letters picked without replacement from tftufufuuufuut. What is prob of sequence tf?
6/91
What is prob of sequence wl when two letters picked without replacement from {d: 6, l: 1, w: 4}?
2/55
What is prob of sequence jjzs when four letters picked without replacement from {j: 2, i: 2, z: 1, s: 1}?
1/180
Calculate prob of sequence xdd when three letters picked without replacement from {c: 1, d: 6, m: 6, x: 6}.
10/323
Calculate prob of sequence ss when two letters picked without replacement from egtstenesefs.
1/22
Three letters picked without replacement from evvvggeevevvvev. Give prob of sequence vev.
4/39
What is prob of sequence mm when two letters picked without replacement from mmmmmmmmmmtmm?
11/13
Four letters picked without replacement from lzzzxzxl. Give prob of sequence zzzl.
1/35
Calculate prob of sequence gg when two letters picked without replacement from {g: 4, j: 2, e: 1, u: 2, z: 3}.
1/11
Calculate prob of sequence hcw when three letters picked without replacement from hkzzcgw.
1/210
Two letters picked without replacement from {m: 1, q: 8, x: 2, t: 5, f: 2}. What is prob of sequence tx?
5/153
Calculate prob of sequence ko when two letters picked without replacement from {v: 8, k: 2, o: 4}.
4/91
Two letters picked without replacement from lslllnsyy. What is prob of sequence ly?
1/9
What is prob of sequence jjc when three letters picked without replacement from {j: 6, c: 4}?
1/6
Three letters picked without replacement from {x: 2, a: 1, l: 3, g: 1}. Give prob of sequence gla.
1/70
Four letters picked without replacement from {v: 7}. Give prob of sequence vvvv.
1
Calculate prob of sequence bdh when three letters picked without replacement from fhdsbss.
1/210
What is prob of sequence ehyh when four letters picked without replacement from {v: 3, h: 2, t: 1, e: 1, y: 3}?
1/840
Calculate prob of sequence qq when two letters picked without replacement from yqyqqyyy.
3/28
Calculate prob of sequence wdq when three letters picked without replacement from wkdvzwq.
1/105
Calculate prob of sequence th when two letters picked without replacement from {g: 3, q: 1, t: 2, h: 4}.
4/45
Two letters picked without replacement from {i: 2, z: 2, a: 1}. What is prob of sequence zz?
1/10
Two letters picked without replacement from bbsssggbgegisgib. Give prob of sequence ss.
1/20
Two letters picked without replacement from vvgqgggguvw. What is prob of sequence gv?
3/22
Three letters picked without replacement from {n: 10, q: 9}. What is prob of sequence qnn?
45/323
What is prob of sequence jcj when three letters picked without replacement from {j: 9, x: 1, c: 1, q: 8}?
4/323
Two letters picked without replacement from {h: 4, u: 1, y: 3}. Give prob of sequence hh.
3/14
Four letters picked without replacement from {a: 3, x: 5}. Give prob of sequence aaxa.
1/56
What is prob of sequence qh when two letters picked without replacement from {p: 2, w: 1, b: 2, q: 1, s: 8, h: 1}?
1/210
Four letters picked without replacement from {k: 9, o: 6, a: 4}. Give prob of sequence kaaa.
3/1292
Two letters picked without replacement from {p: 7, b: 2, z: 3}. What is prob of sequence bz?
1/22
Calculate prob of sequence jjjl when four letters picked without replacement from jjjjjjjl.
1/8
Two letters picked without replacement from ppp. What is prob of sequence pp?
1
Four letters picked without replacement from rvoovaaiavvoarvivj. Give prob of sequence jaav.
1/1020
Four letters picked without replacement from {c: 3, d: 2, g: 1, x: 4, b: 6}. Give prob of sequence dgbd.
1/3640
Calculate prob of sequence mm when two letters picked without replacement from mcmmmmcmmcmcmmcmccm.
22/57
Three letters picked without replacement from opopyoopoop. What is prob of sequence pyp?
2/165
Two letters picked without replacement from niinnniininnii. What is prob of sequence ni?
7/26
Three letters picked without replacement from {k: 3, v: 8, e: 3, m: 3}. What is prob of sequence vmm?
1/85
Calculate prob of sequence wt when two letters picked without replacement from {p: 2, t: 5, w: 5, k: 3, a: 1}.
5/48
Three letters picked without replacement from opvoooveopvpo. What is prob of sequence peo?
3/286
Four letters picked without replacement from {n: 3, g: 3, r: 5}. Give prob of sequence gnrr.
1/44
Calculate prob of sequence fg when two letters picked without replacement from {s: 4, f: 1, g: 3}.
3/56
What is prob of sequence emmf when four letters picked without replacement from ftmeffnddfmd?
1/1485
Four letters picked without replacement from {p: 2, g: 4, i: 4, q: 5}. Give prob of sequence qiqp.
4/819
Two letters picked without replacement from aaarararrdada. What is prob of sequence ar?
7/39
Four letters picked without replacement from {p: 1, g: 2, y: 2, q: 4, j: 1}. Give prob of sequence jqqy.
1/210
What is prob of sequence qq when two letters picked without replacement from qbbqbqbuqq?
2/9
Calculate prob of sequence nn when two letters picked without replacement from nnnnnnnuuunnnnnnnnnn.
68/95
What is prob of sequence xob when three letters picked without replacement from {v: 5, o: 6, b: 1, h: 2, x: 1, d: 1}?
1/560
Three letters picked without replacement from llcrllcclcrrllcclcl. What is prob of sequence lll?
28/323
Two letters picke | {
"pile_set_name": "DM Mathematics"
} |
(l + 3 - 3)*(0 + 1 + 0) + (2*l - 2*l - 3*l)*(2 - 1 + 0) in the form j*l + r and give j.
36
Rearrange -15*s - 21 + 21 - s**2 - s**3 to the form y + o*s + u*s**2 + h*s**3 and give o.
-15
Rearrange 8164*f + 87*f**2 - 8164*f + 2 to s*f**2 + a*f + k and give k.
2
Express ((-3*r + 3 - 3)*(-1 - 1 + 1) - 61*r + 26*r + 23*r)*(-8 + 3 - 8) as w + x*r and give x.
117
Express 381*n + 423*n - 44*n + (-4*n + 7*n - 4*n)*(0 + 4 - 2) in the form b + a*n and give a.
758
Rearrange -103*u**2 - 83*u**2 + 11*u**2 - 45*u**2 - u**2 to h*u + f + n*u**2 and give n.
-221
Express -4*l**4 - l**4 - l**3 - l**2 + 2*l**4 + l**4 + 9 + 208*l - 209*l as c*l**2 + z + o*l**3 + h*l + s*l**4 and give z.
9
Express 13*z - 12*z + 0*z - z + 642*z**2 as t + i*z + n*z**2 and give n.
642
Rearrange (-u**4 + 3 - 3)*(702 - 58 + 1489 - 327) to i*u**4 + g*u**2 + x + w*u + n*u**3 and give i.
-1806
Express c**3 + 2*c**2 - 2*c**2 + (c**2 + 0*c + 0*c)*(-266*c - 390*c + 187*c) as h*c**2 + j + a*c + y*c**3 and give y.
-468
Rearrange 0*j**3 + 2*j - 1041 - 2*j**3 + j**4 + 1040 - 17*j**2 to the form s*j + r*j**2 + q*j**3 + t*j**4 + f and give f.
-1
Express (19 - 17 + 36)*(-17*t + 6*t + 4*t) + 0*t + t + t in the form f + y*t and give y.
-264
Rearrange 4*q - 3 - 6 - 12 - 11 - 7 to l + u*q and give l.
-39
Express (4 - 1 - 1)*(1 + 4 - 3)*(-158*d**3 - 5038*d**2 + 5038*d**2) in the form n*d**3 + l*d**2 + t*d + f and give n.
-632
Express 2*l**2 - 66*l**3 + 5*l**4 + 3*l - l**4 + 64*l**3 + l**2 + l + 1 in the form q*l + j*l**4 + m*l**2 + u + k*l**3 and give m.
3
Express -3*s**2 - 14876*s + 5*s**4 + 14943*s - 3*s**3 + s**3 - 4*s**4 in the form z*s + k*s**2 + n*s**3 + p + v*s**4 and give n.
-2
Express -110*w**3 - 53*w**2 + 320*w**3 - 109*w**3 - 103*w**3 as t*w**3 + u*w**2 + o*w + i and give u.
-53
Express 71 - 15*y - 41 - 37 in the form u + g*y and give g.
-15
Rearrange (-70*p**3 - 17*p**3 + 38*p**3)*(0 + 0 + 2*p) to the form f*p**2 + b*p**4 + d + n*p + t*p**3 and give b.
-98
Rearrange (-3*d + 2*d + 2*d)*(-15 - 29 - 25) + (5*d + d - 3*d)*(-3 + 0 + 6) to the form u + j*d and give j.
-60
Rearrange ((2 - 3 + 4)*(-2*u - u + 11*u) - 2*u + 0*u - 8*u + 2*u + 0 + 0)*(-u - 2 + 2) to h*u**2 + d + b*u and give h.
-16
Rearrange -6*o**4 - o**3 + 2*o**2 - o + 3*o**3 + 245 - 245 to the form i*o + l*o**4 + u*o**3 + a + t*o**2 and give i.
-1
Rearrange (4 - 2 + 1)*(-3*z + z + 0*z)*(1 - 1 + 2) + (6 - 7 - 6)*(-2*z - z + 2*z) - 2*z + 6*z - 3*z to w*z + b and give w.
-4
Rearrange -8*x + 0*x + x**4 - 2*x - 1 - 2*x**3 + 7*x to the form g*x**2 + o*x + h + v*x**4 + f*x**3 and give h.
-1
Rearrange 2*o + 476 - 234 - 232 to the form h*o + p and give h.
2
Rearrange -4*m - 2 + 4*m + 113*m**2 + 600*m**2 - 1110*m**2 to the form d*m**2 + c + r*m and give c.
-2
Rearrange (12 + 3*p**2 - 354*p + 354*p)*(-2 + 0 + 1) to the form g*p**2 + b + o*p and give g.
-3
Express 23 - 19 - 6 + 70*f**3 in the form m + d*f**2 + u*f + v*f**3 and give m.
-2
Express 500 + 301 - 167 - h as d*h + o and give d.
-1
Express (-12*z**2 + 7*z - 7*z)*(8*z**2 + 1 + 3*z**2 + 0) as m*z**4 + q*z**2 + h*z**3 + k + a*z and give m.
-132
Rearrange (2*k - k - 6*k)*(0 + 0 + 5)*(-5 + 3 + 0 + (1 + 1 - 3)*(-2 + 1 + 2))*(0 - 1 - 3) to g*k + p and give g.
-300
Express (5*m + m - 5*m)*(-4*m + m + 2*m) + 111*m**2 + 16*m**2 + 12*m**2 as a*m + n*m**2 + x and give n.
138
Express -89*t**2 + 177*t**2 - 90*t**2 + 26 + 3*t as w + d*t + l*t**2 and give w.
26
Rearrange 230*z - 76*z**2 - 466*z + 231*z to the form y + p*z + i*z**2 and give p.
-5
Rearrange -3537*f**2 - 226*f**2 - 7828*f**2 + 637*f**2 + (0*f - 2*f + 0*f)*(-5 + 5 + f) to j + n*f + h*f**2 and give h.
-10956
Rearrange (-1 + 0 + 2)*(2*c - 4 + 4)*(-16*c + 12 - 12) - 99 - 2*c**2 + 6*c**2 + 100 to the form m*c + j + t*c**2 and give j.
1
Express 178*u - 40*u + 217*u + 56*u + 90*u as q*u + c and give q.
501
Rearrange -258*y**2 + 95*y**2 - 58*y**2 - 1890*y**2 to the form v*y + z*y**2 + q and give z.
-2111
Rearrange 176 - 2*o + 363 - 748 to the form d + w*o and give d.
-209
Rearrange 155*q - 12 + 12 + 52*q to the form z + n*q and give n.
207
Rearrange 2*b**4 - 26*b**2 + 83*b**2 - b**4 + 1 - 27*b**2 to the form w + c*b + h*b**2 + q*b**4 + t*b**3 and give q.
1
Rearrange -45 + l + 46 - 24*l - 7*l to the form c + p*l and give c.
1
Rearrange -122*b**2 + 106 + 113 - 219 to u + j*b**2 + z*b and give j.
-122
Express -2 + 11 - 9 + 16*h**4 - 17 - 4 - h as k*h + t*h**4 + n + q*h**2 + b*h**3 and give k.
-1
Express h**4 - 1373*h**2 + h - h**3 + 297 + 1373*h**2 + 0*h**3 as w + q*h**4 + k*h**3 + f*h**2 + n*h and give n.
1
Express (456 - 240 - 232 - y)*(1 - 8 - 3) as v + g*y and give g.
10
Express -1672 + s**3 + 1672 + 199*s in the form q*s + l*s**2 + y*s**3 + w and give y.
1
Rearrange (2362*j - 1087*j - 1106*j)*(3*j**2 - 5*j**2 + 5*j**2) to the form o*j + q*j**2 + i + x*j**3 and give x.
507
Rearrange g + 38 + 43*g + 0*g + 3*g**2 + g - 46*g + g**3 to v*g**2 + x + k*g + p*g**3 and give x.
38
Rearrange -302*d + 152*d + 148*d to v + g*d and give g.
-2
Express 0*d**2 - 2*d**2 + d**2 + (2*d**2 - 2*d**2 + d**2)*(4 - 2 - 3) - 5*d**2 - 3*d**2 + d**2 - 22*d**2 + 102*d**2 + 25*d**2 as n*d + j*d**2 + l and give j.
96
Express (-4*r - 3 + 3)*(r - r - 6*r)*(r + 0 - 1 + 4*r) as u + s*r**2 + m*r + t*r**3 and give t.
120
Express (-55 - 142 + 26 - 13)*(3*c**2 - c**2 - c**2) in the form j*c + d + u*c**2 and give u.
-184
Rearrange 14818*w**3 - 6 - 14820*w**3 + 3 to g + m*w**3 + k*w**2 + o*w and give g.
-3
Rearrange (-4*w + 12*w + 6 - 6*w)*(-1 + 0 + 0)*(-94 - 103 + 230) to the form r + b*w and give b.
-66
Express 2*h**3 - 10*h**4 + 23*h**4 - 14*h**4 - 3*h**3 + 2 + 5*h**2 as c + u*h + q*h**3 + a*h**2 + w*h**4 and give c.
2
Rearrange 2*s + 31*s**2 + s**3 + 2*s + 9*s - s - 13*s to the form h + v*s + j*s**3 + f*s**2 and give v.
-1
Rearrange -62*w - 57*w - 57*w - 65*w + 239*w + 170 to l*w + k and give l.
-2
Express -2*s + 2*s**3 - s**2 - 27*s**3 + 38*s**3 as a + g*s**2 + c*s + n*s**3 and give g.
-1
Rearrange 1 + 141*h**3 - 304*h**2 - 309*h**2 + 614*h**2 to l*h + v*h**2 + z + i*h**3 and give i.
141
Rearrange 11*i**3 + 20*i + 46*i - 64*i + 3*i**4 to the form o*i**2 + t*i + s + x*i**3 + g*i**4 and give g.
3
Rearrange 27 + 56*q**2 - 27 to l + j*q**2 + w*q and give j.
56
Express -151459 + j**2 + 0*j**2 + 151380 as w*j + t + r*j**2 and give r.
1
Rearrange (-2591*y**2 - 912*y**2 - 700*y**2 - 2430*y**2 + 816*y**2)*(-2*y + y**2 + 2*y) to the form s*y**4 + x + n*y**3 + p*y**2 + b*y and give s.
-5817
Rearrange -4631 - 4*c**2 - 12*c**4 - 3*c**2 + 4629 to j*c**4 + u + q*c**2 + m*c**3 + w*c and give q.
-7
Rearrange (128 + 40*q - 128)*(-1 - 1 + 4) + (0 + q + 0)*(-2 + 1 - 1) - q + 5*q - 3*q + q + q - 2 + 3*q to the form s*q + m and give s.
84
Express -13 + 2*d**2 - 43*d**3 + 13*d**3 + 2*d**2 + 16 as q*d + z*d**3 + v + j*d**2 and give v.
3
Rearrange 1766*r - 6 + 6 + 509*r to the form v*r + m and give v.
2275
Rearrange -4*o**3 + 5*o**3 - 3*o**3 + (-66*o**3 + 93*o**3 - 26*o + 23*o)*(1 - 3 + 0) to m + r*o + z*o**2 + i*o**3 and give r.
6
Express 0*i + i - 2*i + 1 + 2*i - 1 + (2*i + 3 - 3)*(2 - 4 + 0) - i - 1 + 1 - 60*i - 69*i - 850 + 128*i as w + n*i and give w.
-850
Express -6*r - 32 - 30 + 61 + (2 + 2 - 2)*(4 - r - 4) in the form l + f*r and give f.
-8
Rearrange -404*h**2 + 1255*h**2 + 4 + 2 - 6 to s*h + k + f*h**2 and give f.
851
Rearrange (1135 - 370 - 396 + 958 + 522)*(2*t - 2*t**2 - 2*t) to the form k + h*t**2 + y*t and give h.
-3698
Rearrange -840*d**2 + 341*d**2 + 388*d**2 + (0 + 2 + 0)*(3*d**2 - 2*d**2 - 2*d**2) to z*d**2 + k*d + g and give z.
-113
Rearrange 5 + 20*m + 6215*m**4 - 4*m**3 - 4 - 6219*m**4 + 2*m**3 to the form n + z*m**4 + l*m + u*m**3 + b*m**2 and give l.
20
Express (0*g**2 - 3*g**3 + 0*g**2)*(-2 + 4 - 1)*(233 + 85 - 41 + 55) in the form b*g**2 + x + h*g**3 + y*g and give h.
-996
Express 0 + 0 + 53*k**3 + 7*k - 140*k**3 in the form o*k**3 + u + i*k + f*k**2 and give f.
0
Rearrange (3 - 3 + x)*(-1 + 1 + 14*x)*(5 - 88*x + 43*x + 42*x) to s*x**2 + v*x + l*x**3 + a and give v.
0
Rearrange -3*j - 2*j + 8*j - 2*j - 75 to the form a*j + p and give p.
-75
Express (36 - 7*s - 36)*(2*s + 4*s - 3*s)*(17 + 32 - 20) as l*s**2 + w*s + d and give w.
0
Express (-84 - 182 + 62)*(2 + g - 2) in the form i*g + o and give o.
0
Rearrange (-2*t + t - t + (0 + 0 - 2*t)*(0 + 1 - 3))*(20 - 38 - 76) to the for | {
"pile_set_name": "DM Mathematics"
} |
grams are there in thirty-one halves of a kilogram?
15500
Convert 33.08181kg to nanograms.
33081810000000
How many months are there in 360237.4 decades?
43228488
How many microseconds are there in 43.95453 weeks?
26583699744000
What is 7/2 of a kilogram in grams?
3500
What is 0.6258566 micrograms in kilograms?
0.0000000006258566
Convert 8.760383kg to micrograms.
8760383000
What is 834.1266 millimeters in nanometers?
834126600
Convert 27569.66s to milliseconds.
27569660
Convert 42.07573 millennia to decades.
4207.573
What is one quarter of a tonne in kilograms?
250
How many hours are there in fifteen quarters of a day?
90
What is seventy-six fifths of a meter in centimeters?
1520
How many kilograms are there in 27/4 of a tonne?
6750
How many millilitres are there in twenty-one fifths of a litre?
4200
What is 0.633812 hours in nanoseconds?
2281723200000
How many kilograms are there in eighteen fifths of a tonne?
3600
What is one sixteenth of a gram in micrograms?
62500
What is 31772.75ml in litres?
31.77275
What is thirty-two fifths of a millisecond in microseconds?
6400
How many decades are there in thirty-one fifths of a millennium?
620
What is fifteen quarters of a centimeter in micrometers?
37500
What is 3/5 of a decade in years?
6
What is 1/5 of a hour in minutes?
12
How many meters are there in twenty-one quarters of a kilometer?
5250
What is 1/10 of a day in seconds?
8640
What is 0.268814 tonnes in nanograms?
268814000000000
What is one sixteenth of a gram in micrograms?
62500
What is 0.9977643 millimeters in kilometers?
0.0000009977643
Convert 408.4561 nanometers to micrometers.
0.4084561
What is 7/2 of a litre in millilitres?
3500
How many millimeters are there in 7/8 of a meter?
875
Convert 2915.471km to nanometers.
2915471000000000
How many centimeters are there in 0.155um?
0.0000155
Convert 0.566985 millilitres to litres.
0.000566985
How many micrograms are there in 0.0252576mg?
25.2576
What is 61/4 of a meter in millimeters?
15250
How many meters are there in 9/10 of a kilometer?
900
What is 6/25 of a tonne in kilograms?
240
How many nanograms are there in 3/32 of a milligram?
93750
How many litres are there in 78.97674 millilitres?
0.07897674
How many months are there in twenty-nine halves of a century?
17400
How many millimeters are there in 49982.15 centimeters?
499821.5
What is thirteen eighths of a meter in millimeters?
1625
What is 7/2 of a litre in millilitres?
3500
Convert 84512.9 millilitres to litres.
84.5129
How many decades are there in 6/5 of a millennium?
120
What is seventeen halves of a milligram in micrograms?
8500
Convert 0.3856682ml to litres.
0.0003856682
What is nineteen quarters of a litre in millilitres?
4750
Convert 39337.77 micrograms to grams.
0.03933777
How many months are there in 1/6 of a decade?
20
How many hours are there in 7/2 of a week?
588
How many months are there in thirty-two fifths of a decade?
768
What is 61/4 of a micrometer in nanometers?
15250
What is 108562.3 seconds in nanoseconds?
108562300000000
Convert 0.7525993kg to nanograms.
752599300000
How many centimeters are there in 7292.942mm?
729.2942
How many months are there in 7/6 of a decade?
140
How many days are there in twelve sevenths of a week?
12
What is 48522.94 hours in nanoseconds?
174682584000000000
How many nanometers are there in 3/50 of a millimeter?
60000
What is 354911.3 millennia in decades?
35491130
Convert 0.1208835 centuries to years.
12.08835
What is nineteen quarters of a kilogram in grams?
4750
How many millilitres are there in 1/5 of a litre?
200
What is 9388.668ml in litres?
9.388668
What is 8/25 of a litre in millilitres?
320
Convert 66002.61 grams to nanograms.
66002610000000
What is 2118.076 nanometers in kilometers?
0.000000002118076
Convert 33.14l to millilitres.
33140
Convert 17404.64 millennia to decades.
1740464
What is 0.7420035 nanometers in centimeters?
0.00000007420035
What is 1/4 of a litre in millilitres?
250
What is 32/5 of a kilogram in grams?
6400
What is 3/10 of a litre in millilitres?
300
What is 1.458513 micrograms in grams?
0.000001458513
Convert 0.509953s to microseconds.
509953
How many milliseconds are there in fifty-four fifths of a second?
10800
How many nanograms are there in fifty-nine quarters of a microgram?
14750
What is 13/8 of a litre in millilitres?
1625
How many decades are there in 44/5 of a century?
88
What is seventeen quarters of a litre in millilitres?
4250
Convert 0.7528217 days to microseconds.
65043794880
How many seconds are there in 3/10 of a day?
25920
What is 0.13763 millilitres in litres?
0.00013763
What is 7/4 of a kilometer in meters?
1750
How many months are there in 13/5 of a decade?
312
How many minutes are there in 23/3 of a hour?
460
How many litres are there in 0.9098482ml?
0.0009098482
How many microseconds are there in 628.6824 days?
54318159360000
Convert 36432.64 nanometers to centimeters.
0.003643264
How many millilitres are there in 17/2 of a litre?
8500
How many milliseconds are there in 17/2 of a second?
8500
How many kilograms are there in 6/25 of a tonne?
240
How many millennia are there in 4949.278 decades?
49.49278
What is 356.2698 centimeters in meters?
3.562698
How many millilitres are there in three fifths of a litre?
600
How many millimeters are there in 3.650065nm?
0.000003650065
What is 33/5 of a century in months?
7920
What is one twentieth of a millisecond in microseconds?
50
What is 0.2981258 kilometers in centimeters?
29812.58
How many nanograms are there in 7/2 of a microgram?
3500
Convert 6499.666 nanometers to meters.
0.000006499666
How many seconds are there in one fifth of a hour?
720
What is 5/8 of a millennium in months?
7500
What is five eighths of a litre in millilitres?
625
What is 185.21 nanograms in tonnes?
0.00000000000018521
How many grams are there in fourty-five quarters of a kilogram?
11250
What is 21/8 of a litre in millilitres?
2625
How many decades are there in 929.9638 years?
92.99638
How many days are there in 6.603812 weeks?
46.226684
How many kilograms are there in 8127.259 tonnes?
8127259
What is 9/10 of a kilogram in grams?
900
How many nanograms are there in 0.2640524 tonnes?
264052400000000
What is 87064.61km in meters?
87064610
Convert 5.717155mm to nanometers.
5717155
What is 51322.86um in centimeters?
5.132286
How many nanoseconds are there in 75579.16ms?
75579160000
What is 52/5 of a kilogram in grams?
10400
How many millennia are there in 59418.77 years?
59.41877
What is 22148.72 millilitres in litres?
22.14872
How many litres are there in 30.1836ml?
0.0301836
How many hours are there in seven thirds of a week?
392
Convert 36.71925 kilograms to tonnes.
0.03671925
How many millimeters are there in 22255.87 nanometers?
0.02225587
What is 6/5 of a litre in millilitres?
1200
How many millilitres are there in 13/8 of a litre?
1625
How many millilitres are there in 3/5 of a litre?
600
What is three sixteenths of a kilometer in centimeters?
18750
Convert 32130.2 millilitres to litres.
32.1302
How many seconds are there in one ninth of a week?
67200
What is one tenth of a litre in millilitres?
100
What is 11/10 of a meter in centimeters?
110
How many millilitres are there in 24.38826l?
24388.26
How many millimeters are there in 817.904 nanometers?
0.000817904
How many micrometers are there in 4.435656 millimeters?
4435.656
How many centimeters are there in 3/5 of a meter?
60
How many millilitres are there in seven eighths of a litre?
875
Convert 2.650342km to nanometers.
2650342000000
How many nanometers are there in 804056.2 centimeters?
8040562000000
What is 42/5 of a century in decades?
84
How many millilitres are there in fourty-three halves of a litre?
21500
How many litres are there in 16927.49 millilitres?
16.92749
What is one quarter of a microsecond in nanoseconds?
250
What is 0.8181439 micrometers in kilometers?
0.0000000008181439
What is 98891.28ml in litres?
98.89128
How many milligrams are there in 13/4 of a gram?
3250
What is 673212.5 years in months?
8078550
What is 7.940408 centimeters in micrometers?
79404.08
How many nanometers are there in 0.9160538mm?
916053.8
What is 5/8 of a litre in millilitres?
625
What is 211476.24 months in millennia?
17.62302
How many centimeters are there in one fi | {
"pile_set_name": "DM Mathematics"
} |
.
0.9
Round -46.72494 to one decimal place.
-46.7
Round -671.81571 to the nearest ten.
-670
What is 3824.8137 rounded to the nearest one thousand?
4000
Round 0.00014355996 to seven dps.
0.0001436
Round -0.04819938 to 5 dps.
-0.0482
What is 29295080 rounded to the nearest ten thousand?
29300000
Round -0.0503834 to two decimal places.
-0.05
Round 1853470 to the nearest one million.
2000000
What is -1930226 rounded to the nearest 1000?
-1930000
Round -1630.64 to the nearest 10.
-1630
What is 36.557988 rounded to one dp?
36.6
Round -0.000000952416 to 7 dps.
-0.000001
Round 0.00335268 to five decimal places.
0.00335
Round -1086.2 to the nearest one thousand.
-1000
What is -0.00000033658002 rounded to 7 decimal places?
-0.0000003
What is -6156.91 rounded to the nearest 10?
-6160
Round -5507 to the nearest one hundred thousand.
0
Round -0.00004407138 to six dps.
-0.000044
What is -87221.3 rounded to the nearest one hundred?
-87200
Round 13.5327 to 1 dp.
13.5
What is 0.49881 rounded to one decimal place?
0.5
Round 877329 to the nearest 1000.
877000
What is -7526.57 rounded to the nearest one hundred?
-7500
Round 0.00006860426 to 7 dps.
0.0000686
Round 30.110324 to the nearest integer.
30
What is -19480.3 rounded to the nearest 1000?
-19000
What is -3246 rounded to the nearest 100000?
0
Round 0.0025463198 to four dps.
0.0025
Round -869340 to the nearest 10000.
-870000
Round -418.52624 to one decimal place.
-418.5
What is -448.7441 rounded to the nearest integer?
-449
What is 24614.84 rounded to the nearest one thousand?
25000
What is -0.00000652623 rounded to seven decimal places?
-0.0000065
What is -0.0000011950388 rounded to 7 dps?
-0.0000012
Round -671501000 to the nearest one million.
-672000000
What is 0.5456192 rounded to two dps?
0.55
What is 882.739 rounded to the nearest 100?
900
Round -0.11931309 to three dps.
-0.119
Round 0.017170207 to three decimal places.
0.017
Round -606491.39 to the nearest 100.
-606500
What is -4.66649 rounded to one dp?
-4.7
Round 0.974919 to 1 dp.
1
What is -687.55 rounded to the nearest 10?
-690
Round 29151790 to the nearest 10000.
29150000
What is -0.0076217037 rounded to five dps?
-0.00762
What is 0.00219361 rounded to 3 decimal places?
0.002
What is 726826060 rounded to the nearest one million?
727000000
What is -644397.8 rounded to the nearest one thousand?
-644000
What is -34444300 rounded to the nearest 1000000?
-34000000
What is -9041.7 rounded to the nearest 1000?
-9000
What is -0.0707016 rounded to two dps?
-0.07
What is 9540300 rounded to the nearest one hundred thousand?
9500000
Round -4273.255 to the nearest 1000.
-4000
What is -4.97367 rounded to two dps?
-4.97
Round 9.06486 to one dp.
9.1
What is -2624.5676 rounded to zero dps?
-2625
Round -0.000000728807 to 7 dps.
-0.0000007
What is 0.13370374 rounded to three decimal places?
0.134
What is -8820510 rounded to the nearest one hundred thousand?
-8800000
Round -343401000 to the nearest one million.
-343000000
Round 2355.6 to the nearest 1000.
2000
Round 0.0142297 to two decimal places.
0.01
What is 0.0000002421025 rounded to seven decimal places?
0.0000002
Round -0.01300509 to 2 dps.
-0.01
What is 429728.9 rounded to the nearest ten thousand?
430000
What is 0.004102381 rounded to six dps?
0.004102
What is 0.5880028 rounded to 1 decimal place?
0.6
Round -0.02096607 to three dps.
-0.021
Round -47607.44 to the nearest 10.
-47610
Round 286.62975 to one decimal place.
286.6
Round -36566000 to the nearest one million.
-37000000
Round -0.000023669005 to 7 decimal places.
-0.0000237
What is -0.4420911 rounded to four decimal places?
-0.4421
What is 51.12392 rounded to 1 decimal place?
51.1
What is -0.000005889194 rounded to six decimal places?
-0.000006
Round -3081988 to the nearest 10000.
-3080000
What is 26.0738 rounded to the nearest 10?
30
What is -333.328 rounded to the nearest 10?
-330
Round -11716.11 to the nearest 100.
-11700
Round 0.0002991935 to 7 dps.
0.0002992
Round -6.52308 to the nearest integer.
-7
What is 69007.973 rounded to the nearest 100?
69000
What is -64063.9 rounded to the nearest 100?
-64100
Round -1.643931 to three decimal places.
-1.644
Round 356.102 to the nearest integer.
356
Round -0.02258616 to 5 decimal places.
-0.02259
Round 0.02784286 to 5 decimal places.
0.02784
What is 263880.1 rounded to the nearest 1000?
264000
What is 440768.5 rounded to the nearest one thousand?
441000
What is 0.00064906819 rounded to seven dps?
0.0006491
What is -2875900 rounded to the nearest one thousand?
-2876000
Round -0.040725916 to three decimal places.
-0.041
What is 0.000004598478 rounded to seven decimal places?
0.0000046
What is 0.249141 rounded to three dps?
0.249
Round 0.000004457442 to 6 dps.
0.000004
What is 933429 rounded to the nearest 100000?
900000
Round 5450674 to the nearest 1000000.
5000000
What is -603608.3 rounded to the nearest 10000?
-600000
Round 0.00003099762 to six decimal places.
0.000031
Round 60769710 to the nearest one million.
61000000
What is -0.00055784424 rounded to 6 decimal places?
-0.000558
Round -470482.8 to the nearest ten thousand.
-470000
What is -216938000 rounded to the nearest 1000000?
-217000000
Round -39.7763 to the nearest integer.
-40
Round -0.00072272 to 5 dps.
-0.00072
What is -121.926 rounded to 1 dp?
-121.9
Round -634527 to the nearest 1000.
-635000
What is -0.088612023 rounded to 3 decimal places?
-0.089
What is -0.0007579736 rounded to 4 dps?
-0.0008
What is -2.866371 rounded to three dps?
-2.866
Round 0.0000039909 to 5 dps.
0
Round -1064.588 to the nearest one hundred.
-1100
Round -93.4079 to the nearest 10.
-90
Round -0.0000956283 to five dps.
-0.0001
Round 0.76374 to one dp.
0.8
What is 10.93519 rounded to 1 dp?
10.9
Round 17.66712 to 1 dp.
17.7
Round -32843.115 to the nearest 1000.
-33000
What is 45.9715 rounded to one dp?
46
Round -21126100 to the nearest one million.
-21000000
What is 0.001168033 rounded to three decimal places?
0.001
Round 0.006424457 to 4 decimal places.
0.0064
What is -14889300 rounded to the nearest 1000000?
-15000000
Round -9.727523 to one dp.
-9.7
Round -0.0002877132 to five dps.
-0.00029
What is -71708.672 rounded to the nearest ten?
-71710
Round 0.0019671257 to four decimal places.
0.002
Round 0.00044745 to four dps.
0.0004
Round 49310750 to the nearest 100000.
49300000
What is 868102040 rounded to the nearest 1000000?
868000000
Round -0.0007411753 to 4 dps.
-0.0007
Round 5241.28 to the nearest one hundred.
5200
Round 0.00462987 to 5 dps.
0.00463
Round -0.000000531035 to 7 dps.
-0.0000005
What is 0.00003614559 rounded to six decimal places?
0.000036
What is 25345.42 rounded to the nearest one thousand?
25000
Round -25361 to the nearest 10.
-25360
What is 0.41544 rounded to 2 decimal places?
0.42
Round 14.87166 to two decimal places.
14.87
What is -27548790 rounded to the nearest 100000?
-27500000
Round 4785.575 to the nearest one hundred.
4800
What is 3.533211 rounded to two decimal places?
3.53
Round -1.993883 to 1 dp.
-2
What is 0.5664257 rounded to 3 decimal places?
0.566
Round 4.19473 to the nearest integer.
4
Round -0.0001890381 to 5 decimal places.
-0.00019
Round -404555.5 to the nearest one hundred.
-404600
What is -17519.25 rounded to the nearest one hundred?
-17500
What is -0.0192685 rounded to three decimal places?
-0.019
What is -1711.08 rounded to the nearest one thousand?
-2000
Round 8917.9 to the nearest 1000.
9000
What is -68.5124 rounded to 1 decimal place?
-68.5
Round -881676 to the nearest 10000.
-880000
Round 128354.26 to the nearest 10000.
130000
What is 6098488 rounded to the nearest 10000?
6100000
What is -16818100 rounded to the nearest 10000?
-16820000
What is -40031840 rounded to the nearest one million?
-40000000
What is 225.514 rounded to the nearest integer?
226
Round 256.2613 to the nearest ten.
260
Round -134.2796 to the nearest ten.
-130
Round -0.000672697 to 4 dps.
-0.0007
What is -149851000 rounded to the nearest 100000?
-149900000
Round 0.0087376 to 3 decimal places.
0.009
What is -0.0005274089 rounded to 4 decimal places?
-0.0005
Round -0.002848098 to 3 dps.
-0.003
Round -1444.6722 to the nearest integer.
-1445
Round 0.0005677016 to six dps.
0.000568
What is -23846.22 rounded to the nearest one thousand?
-24000
Round 6.83115 to two | {
"pile_set_name": "DM Mathematics"
} |
17
What is 103564 to the power of 1/2, to the nearest integer?
322
What is 3529 to the power of 1/2, to the nearest integer?
59
What is the eighth root of 38545 to the nearest integer?
4
What is the eighth root of 34272 to the nearest integer?
4
What is the seventh root of 96616 to the nearest integer?
5
What is the fourth root of 1238 to the nearest integer?
6
What is 3215 to the power of 1/2, to the nearest integer?
57
What is 12850 to the power of 1/2, to the nearest integer?
113
What is 1802 to the power of 1/3, to the nearest integer?
12
What is 1468 to the power of 1/2, to the nearest integer?
38
What is 1722 to the power of 1/9, to the nearest integer?
2
What is the sixth root of 14071 to the nearest integer?
5
What is 21918 to the power of 1/3, to the nearest integer?
28
What is the cube root of 43 to the nearest integer?
4
What is 4732 to the power of 1/3, to the nearest integer?
17
What is the square root of 68339 to the nearest integer?
261
What is 913 to the power of 1/5, to the nearest integer?
4
What is 6075 to the power of 1/5, to the nearest integer?
6
What is the square root of 4826 to the nearest integer?
69
What is the third root of 23303 to the nearest integer?
29
What is the square root of 2943 to the nearest integer?
54
What is 180 to the power of 1/9, to the nearest integer?
2
What is 4066 to the power of 1/6, to the nearest integer?
4
What is the square root of 18224 to the nearest integer?
135
What is the square root of 23921 to the nearest integer?
155
What is the fourth root of 17599 to the nearest integer?
12
What is 3966 to the power of 1/6, to the nearest integer?
4
What is the fourth root of 3638 to the nearest integer?
8
What is the square root of 6569 to the nearest integer?
81
What is the square root of 14447 to the nearest integer?
120
What is the seventh root of 5031 to the nearest integer?
3
What is the sixth root of 103070 to the nearest integer?
7
What is the third root of 22 to the nearest integer?
3
What is the third root of 49947 to the nearest integer?
37
What is the square root of 22827 to the nearest integer?
151
What is 92694 to the power of 1/2, to the nearest integer?
304
What is 5239 to the power of 1/3, to the nearest integer?
17
What is 7477 to the power of 1/3, to the nearest integer?
20
What is the cube root of 37458 to the nearest integer?
33
What is the square root of 10783 to the nearest integer?
104
What is the square root of 4643 to the nearest integer?
68
What is the cube root of 5183 to the nearest integer?
17
What is 878 to the power of 1/3, to the nearest integer?
10
What is the square root of 2728 to the nearest integer?
52
What is 2137 to the power of 1/4, to the nearest integer?
7
What is the square root of 7249 to the nearest integer?
85
What is 226 to the power of 1/5, to the nearest integer?
3
What is the third root of 2881 to the nearest integer?
14
What is 43997 to the power of 1/5, to the nearest integer?
8
What is 2805 to the power of 1/2, to the nearest integer?
53
What is 12385 to the power of 1/3, to the nearest integer?
23
What is the ninth root of 15910 to the nearest integer?
3
What is the ninth root of 9728 to the nearest integer?
3
What is 27135 to the power of 1/2, to the nearest integer?
165
What is the cube root of 19991 to the nearest integer?
27
What is 25068 to the power of 1/4, to the nearest integer?
13
What is 9712 to the power of 1/3, to the nearest integer?
21
What is 5984 to the power of 1/2, to the nearest integer?
77
What is the ninth root of 6975 to the nearest integer?
3
What is the square root of 4987 to the nearest integer?
71
What is the cube root of 7812 to the nearest integer?
20
What is the seventh root of 556 to the nearest integer?
2
What is the third root of 21885 to the nearest integer?
28
What is the square root of 49595 to the nearest integer?
223
What is 26018 to the power of 1/8, to the nearest integer?
4
What is 1305 to the power of 1/2, to the nearest integer?
36
What is 862 to the power of 1/10, to the nearest integer?
2
What is the square root of 2706 to the nearest integer?
52
What is the third root of 18475 to the nearest integer?
26
What is 16501 to the power of 1/3, to the nearest integer?
25
What is the cube root of 1567 to the nearest integer?
12
What is the tenth root of 7708 to the nearest integer?
2
What is the fifth root of 2242 to the nearest integer?
5
What is 1536 to the power of 1/5, to the nearest integer?
4
What is 6672 to the power of 1/2, to the nearest integer?
82
What is the square root of 18736 to the nearest integer?
137
What is the square root of 44407 to the nearest integer?
211
What is 1237 to the power of 1/3, to the nearest integer?
11
What is 46291 to the power of 1/4, to the nearest integer?
15
What is 4323 to the power of 1/2, to the nearest integer?
66
What is 14692 to the power of 1/2, to the nearest integer?
121
What is the square root of 3143 to the nearest integer?
56
What is 72851 to the power of 1/2, to the nearest integer?
270
What is the seventh root of 1151 to the nearest integer?
3
What is 108869 to the power of 1/3, to the nearest integer?
48
What is the third root of 1808 to the nearest integer?
12
What is 28920 to the power of 1/5, to the nearest integer?
8
What is 727 to the power of 1/8, to the nearest integer?
2
What is 2246 to the power of 1/6, to the nearest integer?
4
What is the cube root of 26745 to the nearest integer?
30
What is 5664 to the power of 1/7, to the nearest integer?
3
What is the fifth root of 26737 to the nearest integer?
8
What is the cube root of 989 to the nearest integer?
10
What is the square root of 10020 to the nearest integer?
100
What is the seventh root of 11924 to the nearest integer?
4
What is the tenth root of 78276 to the nearest integer?
3
What is the fifth root of 10011 to the nearest integer?
6
What is the fifth root of 20485 to the nearest integer?
7
What is 125168 to the power of 1/9, to the nearest integer?
4
What is the tenth root of 889 to the nearest integer?
2
What is the square root of 14076 to the nearest integer?
119
What is 2650 to the power of 1/7, to the nearest integer?
3
What is 263 to the power of 1/4, to the nearest integer?
4
What is the square root of 54956 to the nearest integer?
234
What is 509 to the power of 1/10, to the nearest integer?
2
What is the square root of 7651 to the nearest integer?
87
What is 4766 to the power of 1/8, to the nearest integer?
3
What is 1753 to the power of 1/2, to the nearest integer?
42
What is 2227 to the power of 1/2, to the nearest integer?
47
What is 30304 to the power of 1/6, to the nearest integer?
6
What is the square root of 2754 to the nearest integer?
52
What is 1292 to the power of 1/5, to the nearest integer?
4
What is the square root of 11929 to the nearest integer?
109
What is 9389 to the power of 1/3, to the nearest integer?
21
What is the seventh root of 9359 to the nearest integer?
4
What is the square root of 22040 to the nearest integer?
148
What is the fourth root of 7168 to the nearest integer?
9
What is the fifth root of 11486 to the nearest integer?
6
What is the sixth root of 167 to the nearest integer?
2
What is 3586 to the power of 1/5, to the nearest integer?
5
What is 117565 to the power of 1/2, to the nearest integer?
343
What is the sixth root of 8675 to the nearest integer?
5
What is the cube root of 1827 to the nearest integer?
12
What is 291 to the power of 1/2, to the nearest integer?
17
What is 5824 to the power of 1/2, to the nearest integer?
76
What is the cube root of 29894 to the nearest integer?
31
What is 61788 to the power of 1/3, to the nearest integer?
40
What is 910 to the power of 1/7, to the nearest integer?
3
What is the third root of 4968 to the nearest integer?
17
What is the cube root of 411 to the nearest integer?
7
What is the eighth root of 9665 to the nearest integer?
3
What is 1024 to the power of 1/10, to the nearest integer?
2
What is the square root of 5083 to the nearest integer?
71
What is 37065 to the power of 1/7, to the nearest integer?
4
What is 5714 to the power of 1/7, to the nearest integer?
3
What is the seventh root of 13897 to the nearest integer?
4
What is 558 to the power of 1/3, to the nearest integer?
8
What is 5102 t | {
"pile_set_name": "DM Mathematics"
} |
125847?
3, 59, 79
What are the prime factors of 19?
19
What are the prime factors of 3958?
2, 1979
What are the prime factors of 47232?
2, 3, 41
List the prime factors of 20534.
2, 10267
What are the prime factors of 20069?
7, 47, 61
What are the prime factors of 186?
2, 3, 31
What are the prime factors of 444?
2, 3, 37
What are the prime factors of 2156?
2, 7, 11
List the prime factors of 22461.
3, 7487
List the prime factors of 1800.
2, 3, 5
What are the prime factors of 4747?
47, 101
What are the prime factors of 5781?
3, 41, 47
What are the prime factors of 71936?
2, 281
List the prime factors of 33865.
5, 13, 521
List the prime factors of 1001.
7, 11, 13
What are the prime factors of 3100?
2, 5, 31
What are the prime factors of 2915?
5, 11, 53
What are the prime factors of 14315?
5, 7, 409
What are the prime factors of 79083?
3, 29, 101
List the prime factors of 7191.
3, 17, 47
List the prime factors of 573.
3, 191
List the prime factors of 3832.
2, 479
What are the prime factors of 2594?
2, 1297
What are the prime factors of 3778?
2, 1889
What are the prime factors of 336?
2, 3, 7
What are the prime factors of 4657?
4657
List the prime factors of 39970.
2, 5, 7, 571
What are the prime factors of 25613?
7, 3659
List the prime factors of 6370.
2, 5, 7, 13
What are the prime factors of 1590?
2, 3, 5, 53
List the prime factors of 1975.
5, 79
What are the prime factors of 1338?
2, 3, 223
What are the prime factors of 1825?
5, 73
List the prime factors of 26325.
3, 5, 13
List the prime factors of 12085.
5, 2417
What are the prime factors of 91?
7, 13
What are the prime factors of 67888?
2, 4243
What are the prime factors of 41252?
2, 10313
List the prime factors of 940.
2, 5, 47
What are the prime factors of 52777?
89, 593
List the prime factors of 89698.
2, 7, 43, 149
What are the prime factors of 37926?
2, 3, 7, 43
What are the prime factors of 390?
2, 3, 5, 13
What are the prime factors of 2542?
2, 31, 41
List the prime factors of 260.
2, 5, 13
What are the prime factors of 74238?
2, 3, 12373
What are the prime factors of 2430?
2, 3, 5
What are the prime factors of 19886?
2, 61, 163
List the prime factors of 51808.
2, 1619
List the prime factors of 429.
3, 11, 13
What are the prime factors of 7602?
2, 3, 7, 181
What are the prime factors of 4193?
7, 599
What are the prime factors of 4059?
3, 11, 41
List the prime factors of 36359.
103, 353
What are the prime factors of 866?
2, 433
What are the prime factors of 1031?
1031
What are the prime factors of 29596?
2, 7, 151
List the prime factors of 1696.
2, 53
List the prime factors of 4672.
2, 73
What are the prime factors of 1014?
2, 3, 13
List the prime factors of 26322.
2, 3, 41, 107
What are the prime factors of 7321?
7321
What are the prime factors of 32214?
2, 3, 7, 13, 59
What are the prime factors of 3373?
3373
What are the prime factors of 2214?
2, 3, 41
List the prime factors of 5363.
31, 173
List the prime factors of 19126.
2, 73, 131
List the prime factors of 6363.
3, 7, 101
What are the prime factors of 12816?
2, 3, 89
List the prime factors of 1352.
2, 13
What are the prime factors of 1412?
2, 353
What are the prime factors of 621?
3, 23
List the prime factors of 83637.
3, 9293
List the prime factors of 13172.
2, 37, 89
List the prime factors of 55793.
55793
What are the prime factors of 70998?
2, 3, 11833
List the prime factors of 528.
2, 3, 11
What are the prime factors of 11720?
2, 5, 293
What are the prime factors of 1053?
3, 13
What are the prime factors of 6315?
3, 5, 421
List the prime factors of 1086.
2, 3, 181
What are the prime factors of 173?
173
List the prime factors of 447.
3, 149
What are the prime factors of 18235?
5, 7, 521
List the prime factors of 33962.
2, 16981
What are the prime factors of 5347?
5347
What are the prime factors of 651?
3, 7, 31
What are the prime factors of 69517?
7, 9931
List the prime factors of 1269.
3, 47
What are the prime factors of 47428?
2, 71, 167
List the prime factors of 1226.
2, 613
What are the prime factors of 24?
2, 3
What are the prime factors of 5413?
5413
List the prime factors of 5938.
2, 2969
List the prime factors of 850.
2, 5, 17
List the prime factors of 74622.
2, 3, 12437
List the prime factors of 14199.
3, 4733
What are the prime factors of 27861?
3, 37, 251
List the prime factors of 389.
389
List the prime factors of 4518.
2, 3, 251
List the prime factors of 6135.
3, 5, 409
List the prime factors of 59182.
2, 127, 233
What are the prime factors of 6626?
2, 3313
List the prime factors of 90924.
2, 3, 7577
List the prime factors of 158349.
3, 52783
What are the prime factors of 33673?
151, 223
List the prime factors of 1375.
5, 11
List the prime factors of 446.
2, 223
List the prime factors of 8036.
2, 7, 41
What are the prime factors of 13664?
2, 7, 61
List the prime factors of 2270.
2, 5, 227
What are the prime factors of 1235?
5, 13, 19
List the prime factors of 889.
7, 127
What are the prime factors of 13472?
2, 421
What are the prime factors of 2661?
3, 887
What are the prime factors of 4610?
2, 5, 461
List the prime factors of 26199.
3, 41, 71
What are the prime factors of 31040?
2, 5, 97
What are the prime factors of 1195?
5, 239
List the prime factors of 288.
2, 3
List the prime factors of 12933.
3, 479
List the prime factors of 327.
3, 109
What are the prime factors of 21597?
3, 23, 313
What are the prime factors of 17772?
2, 3, 1481
What are the prime factors of 101102?
2, 50551
List the prime factors of 84891.
3, 28297
What are the prime factors of 16437?
3, 5479
What are the prime factors of 503?
503
List the prime factors of 76896.
2, 3, 89
List the prime factors of 2103.
3, 701
What are the prime factors of 1009?
1009
What are the prime factors of 26392?
2, 3299
What are the prime factors of 3381?
3, 7, 23
What are the prime factors of 39235?
5, 7, 19, 59
What are the prime factors of 545?
5, 109
List the prime factors of 10013.
17, 19, 31
What are the prime factors of 1880?
2, 5, 47
What are the prime factors of 699?
3, 233
What are the prime factors of 131559?
3, 43853
What are the prime factors of 2022?
2, 3, 337
List the prime factors of 1178.
2, 19, 31
List the prime factors of 1395.
3, 5, 31
List the prime factors of 2426.
2, 1213
What are the prime factors of 349?
349
What are the prime factors of 3153?
3, 1051
List the prime factors of 69738.
2, 3, 59, 197
List the prime factors of 90761.
11, 37, 223
List the prime factors of 16258.
2, 11, 739
List the prime factors of 339.
3, 113
What are the prime factors of 859?
859
List the prime factors of 2975.
5, 7, 17
What are the prime factors of 72054?
2, 3, 4003
What are the prime factors of 17882?
2, 8941
List the prime factors of 971.
971
What are the prime factors of 17216?
2, 269
What are the prime factors of 27883?
27883
List the prime factors of 75368.
2, 9421
What are the prime factors of 2405?
5, 13, 37
What are the prime factors of 7781?
31, 251
What are the prime factors of 2885?
5, 577
What are the prime factors of 3109?
3109
List the prime factors of 1604.
2, 401
List the prime factors of 67698.
2, 3, 3761
List the prime factors of 6857.
6857
List the prime factors of 3346.
2, 7, 239
List the prime factors of 656.
2, 41
What are the prime factors of 2280?
2, 3, 5, 19
List the prime factors of 879.
3, 293
List the prime factors of 1517.
37, 41
List the prime factors of 108965.
5, 19, 31, 37
What are the prime factors of 34534?
2, 31, 557
What are the prime factors of 18686?
2, 9343
What are the prime factors of 300?
2, 3, 5
List the prime factors of 1037.
17, 61
List the prime factors of 553.
7, 79
What are the prime factors of 77356?
2, 83, 233
What are the prime factors of 2603?
19, 137
What are the prime factors of 11578?
2, 7, 827
List the prime factors of 361.
19
List the prime factors of 6019.
13, 463
What are the prime factors of 9295?
5, 11, 13
What are the prime factors of 12540?
2, 3, 5, 11, 19
List the prime factors of 27927.
3, 29, 107
List the prime factors of 1382.
2, 691
List the prime factors of 1817.
23, 79
List the prime factors of 7193.
7193
What are the prime factors of 18247?
71, 257
What are the prime factors of 18732?
2, 3, 7, 223
What are the prime factors of 33717?
3, 11239
What are the prime factors of 8536?
2, 11 | {
"pile_set_name": "DM Mathematics"
} |
g**5 + 1/50*g**6 + 0*g**2 + 1/210*g**7 - 1/15*g**3 + g - 1/20*g**4 + 16. Factor q(f).
f*(f - 1)*(f + 1)**2*(f + 2)/5
Solve 16348*t - 3519*t - 192 + 11907*t + 264196*t**3 - 800812*t**2 = 0.
4/257, 3
Let l(h) be the third derivative of -h**6/60 + 37*h**5/30 - 105*h**2 + 3. Determine t so that l(t) = 0.
0, 37
Let u(p) = -7*p**2 + 1943*p - 464643. Let b(y) = 3*y**2 - 970*y + 232322. Let l(s) = 5*b(s) + 2*u(s). Solve l(h) = 0 for h.
482
Let n(z) be the first derivative of 30*z**2 - 175*z**3 - 12/7*z + 126. Factor n(g).
-3*(35*g - 2)**2/7
Suppose 0 = 318*y + 397*y + 121*y - 1672. Factor 34/5*u**y + 2/5*u**3 + 126/5*u - 162/5.
2*(u - 1)*(u + 9)**2/5
Let b = 253 - 168. Let v(x) = -9*x**2 + 0*x**2 - 11 - 1758*x + 1738*x. Let h(d) = -125*d**2 - 280*d - 155. Let w(y) = b*v(y) - 6*h(y). Factor w(j).
-5*(j + 1)*(3*j + 1)
Let p = 40 - 33. Let s = -4 + p. Factor 85*w**3 + w**2 + 85*w**3 - 169*w**s.
w**2*(w + 1)
Let g(w) = -2*w**3 - w**2 - w + 24. Let n(s) = -278*s**2 + 3274*s - 10732. Let h(m) = -2*g(m) + n(m). Solve h(b) = 0 for b.
7, 55
Factor -9/2*m**3 + 3*m**4 + 1/4*m**5 + 729/4*m + 0 - 81*m**2.
m*(m - 3)**2*(m + 9)**2/4
Let o(q) be the second derivative of -q**6/105 + 17*q**5/14 - 997*q**4/21 + 7520*q**3/21 + 9600*q**2/7 + 75*q - 12. Determine j so that o(j) = 0.
-1, 6, 40
Let s = 1009/1778 - -1/254. Suppose 0*d + 4*d + 9 = -3*r, 5*d + 5*r = -15. Factor 4/7*f**2 + 0*f + d + 4/7*f**3 - 4/7*f**4 - s*f**5.
-4*f**2*(f - 1)*(f + 1)**2/7
Let v(b) be the second derivative of -3*b**5/80 - 9*b**4/8 - 5672*b. Factor v(k).
-3*k**2*(k + 18)/4
Let d = -2 + 3. Let w = -2841 - -2899. Factor d + 5*j**3 - w*j**2 + 58 - 10 + 23 + 156*j.
(j - 6)**2*(5*j + 2)
Let -2/5*f**3 - 72/5*f**2 + 0 - 256/5*f = 0. What is f?
-32, -4, 0
Let f = 3730/909 + -46672/11817. Determine o, given that f*o**2 - 30/13 + 4/13*o = 0.
-5, 3
Let n = 128 - 193. Let k be ((-3)/2)/(-4 + n/(-20)). What is h in -3*h - 3*h + 3*h**3 + 73*h**k - 70*h**2 = 0?
-2, 0, 1
Let g be ((-14)/(-4))/((-34)/(-68)). What is u in g*u**3 - 24 + 14*u**3 - 16*u**2 - 44*u - 17*u**3 + 0*u**3 = 0?
-1, 6
Let h(v) = 3966*v**3 + 7*v**2 - 5*v. Let s be h(1). Suppose 3956 = -6*z + s. Factor 0 + 0*p - 3/2*p**5 + 0*p**2 - z*p**3 - 4*p**4.
-p**3*(p + 2)*(3*p + 2)/2
Let i(r) = 4*r**3 + 69*r**2 - 688*r + 65. Let o be i(7). Factor 12/7*g**3 + 147*g**o + 21930/7*g - 5547/7.
3*(g + 43)**2*(4*g - 1)/7
Let w(x) = -15*x - 7. Let n be w(-3). Let k = n + -36. Determine l, given that 156*l - 4*l**2 + 0*l**k - 168*l = 0.
-3, 0
Let m(l) be the first derivative of -84 - 1/3*l**3 + 1/2*l**2 + l - 1/4*l**4. Factor m(d).
-(d - 1)*(d + 1)**2
Let q(v) = 11*v**2 + 11*v - 20. Let i be q(-2). Let b(k) be the first derivative of 15*k**i + 5/3*k**3 - 3 - 35*k. Factor b(n).
5*(n - 1)*(n + 7)
Let l(h) be the second derivative of h**6/55 + 37*h**5/110 + 139*h**4/66 + 115*h**3/33 - 150*h**2/11 + 4284*h. Determine g so that l(g) = 0.
-5, -3, 2/3
Suppose -36*h - 27*h = -126. Let x(j) be the second derivative of -1/10*j**5 - 3*j**h + 1/2*j**4 + 0 + 10*j + 1/3*j**3. Let x(c) = 0. What is c?
-1, 1, 3
Suppose 4/5*u**4 - 32/5 + 88/5*u + 48/5*u**2 + 6/5*u**5 - 74/5*u**3 = 0. Calculate u.
-4, -1, 1/3, 2
Solve -23/2*j**4 - 7/4*j**5 + 25*j - 2*j**2 - 87/4*j**3 + 12 = 0.
-3, -2, -4/7, 1
Let s(x) = -x**3 + 3*x**2 + 2*x - 6. Let b be s(2). Let 26*j**2 + 9*j**2 - 36*j**b + 13*j = 0. Calculate j.
0, 13
Suppose r = -2*q + 34, 79*q = 77*q + 3*r + 42. Let m(u) be the second derivative of 1/4*u**4 - 1/5*u**3 + 1/50*u**6 + 0 - q*u - 3/25*u**5 + 0*u**2. Factor m(i).
3*i*(i - 2)*(i - 1)**2/5
Let o(f) be the third derivative of -f**5/390 + 9*f**4/52 + 160*f**3/39 + 470*f**2 - 4*f. Find h such that o(h) = 0.
-5, 32
Let t be (-2256)/10340*(4/14*175/(-15) - 0). Factor 0 - 10/11*o**2 - 2/11*o**3 - t*o.
-2*o*(o + 1)*(o + 4)/11
What is r in -108/5*r**4 + 0 - 144*r**2 - 2/5*r**5 - 674/5*r**3 + 1504/5*r = 0?
-47, -4, 0, 1
Let n(o) be the second derivative of 2*o**4/3 - 73*o**3/6 + 36*o**2 - 3858*o. Find a, given that n(a) = 0.
9/8, 8
Let j(m) = -4*m**3 - 18*m**2 - 154*m - 163. Let y(s) = -5*s**3 - 27*s**2 - 230*s - 245. Let p(w) = 7*j(w) - 5*y(w). Factor p(b).
-3*(b - 7)*(b + 2)**2
Let a(v) = 13*v + 104. Let z be a(-8). Suppose z = -m + 3*q - 4*q + 6, 3*m + 2 = 2*q. Determine k, given that -2/15*k**m + 2/15*k + 4/5 = 0.
-2, 3
Suppose 80 = -4*g + 9*g. Suppose -9*h = -7*h - g. Factor -2*z - 8*z - 8*z - h*z**2 + 2*z - z**3.
-z*(z + 4)**2
Let g(m) = -5*m**4 - 38*m**3 + 457*m**2 - 420*m. Let v(a) = -15*a**4 - 113*a**3 + 1372*a**2 - 1260*a. Let s(r) = -8*g(r) + 3*v(r). Let s(x) = 0. Calculate x.
-14, 0, 1, 6
Let i(z) be the second derivative of 8*z**3 + 0 - 72*z - 12/5*z**5 + 0*z**2 - 1/3*z**4 + 2/15*z**6. Factor i(o).
4*o*(o - 12)*(o - 1)*(o + 1)
Let w(m) be the second derivative of 16 + 0*m**3 + 4/3*m**4 - 2/21*m**7 + 0*m**2 - 8/15*m**6 + 1/5*m**5 - 7*m. Solve w(o) = 0.
-4, -1, 0, 1
Let w(t) = -2*t**2 - 3023*t + 574564. Let x(c) = -20*c**2 - 27204*c + 5171076. Let q(d) = -28*w(d) + 3*x(d). Factor q(a).
-4*(a - 379)**2
Let o(c) = -c**2 + c + 9. Let a(x) = -4*x**2 + 259*x - 9. Let u(y) = a(y) + o(y). Factor u(k).
-5*k*(k - 52)
Let 0*z + 2/13*z**4 + 10/13*z**3 + 0 - 28/13*z**2 = 0. Calculate z.
-7, 0, 2
Let j(d) be the third derivative of 1/132*d**6 - 138*d**2 + 0*d**4 + 0 + 1/110*d**5 + 1/1155*d**7 - 1/1848*d**8 + 0*d + 0*d**3. Suppose j(a) = 0. What is a?
-1, 0, 3
Let u(t) be the third derivative of 0 - 41*t**2 - 3/70*t**5 - 1/280*t**6 + 15/56*t**4 + 0*t - 4/7*t**3. Factor u(l).
-3*(l - 1)**2*(l + 8)/7
Let c(u) be the second derivative of u**4/8 - 1697*u**3 + 8639427*u**2 + 5644*u + 1. Suppose c(x) = 0. Calculate x.
3394
Suppose 1/3*u**2 + 183 + 70/3*u = 0. What is u?
-61, -9
Suppose 76 = -29532*c + 29570*c. Factor -1/4*m**3 - 1369/4 - 75/4*m**c - 1443/4*m.
-(m + 1)*(m + 37)**2/4
Let w(j) = -j**3 + 9*j**2 + 2*j - 9. Let d be w(5). Suppose -101 + d = -9*c. Solve -4/3*k + 4/3*k**3 + 0*k**2 + c = 0 for k.
-1, 0, 1
Factor -2247264/5*c + 3672/5*c**2 + 458441856/5 - 2/5*c**3.
-2*(c - 612)**3/5
Let -651*f + 1780*f + 542*f**3 + 28911 + 1335 + 13142*f - 420*f**2 - 539*f**3 = 0. Calculate f.
-2, 71
Solve -340/7*k**2 + 36/7*k**3 + 864/7*k - 320/7 = 0 for k.
4/9, 4, 5
Let t(z) be the third derivative of -z**8/3024 - z**7/630 + z**5/135 + z**2 + 3*z. Factor t(p).
-p**2*(p - 1)*(p + 2)**2/9
Factor 2*g**2 + 124 + 12*g - 397 + 71 + 92.
2*(g - 5)*(g + 11)
Let y(j) = -609*j**2 - 615*j + 43. Let b(a) = 203*a**2 + 205*a - 12. Let q(u) = 28*b(u) + 8*y(u). Determine z, given that q(z) = 0.
-1, -2/203
Let z(k) be the second derivative of -22/51*k**3 + 2 + 0*k**2 + 75*k - 1/102*k**4. Find r, given that z(r) = 0.
-22, 0
Let z(k) be the second derivative of -k**6/20 - 471*k**5/40 + 159*k**4/4 - 7233*k. Find t, given that z(t) = 0.
-159, 0, 2
Let q be (100/(-35))/((-6)/21). Let v be ((-2)/q)/((-30)/300). Suppose 4/5*y**5 + 16/5 + 28/5*y**3 - 4*y**4 + 4/5*y**v - 32/5*y = 0. Calculate y.
-1, 1, 2
Suppose -30*s - 19 = -31*s. Let w be (-63)/7 + s + -8. Let 0 + 2/19*y - 12/19*y**3 - 10/19*y**w = 0. Calculate y.
-1, 0, 1/6
Determine b so that -10 + 185/4*b**3 - 13*b**4 + 47*b - 143/2*b**2 + 5/4*b**5 = 0.
2/5, 1, 2, 5
Suppose 0 = 8*f - 6*f - 144. What is v in 1493*v**2 - f - 150*v - 54*v - 1573*v**2 + 100*v**3 = 0?
-3/5, 2
Let b be 60/(-8)*(-14)/35. Determine i so that -4*i**b + 508 - 251 - 260 + i**4 + 4*i + 2*i**2 = 0.
-1, 1, 3
Let z(f) be the first derivative of -51/8*f**2 - 66 + 1/24*f**3 + 2601/8*f. Factor z(j).
(j - 51)**2/8
Let j(u) = 17*u + 496. Let q be j(-29). Suppose -5*h = 2*y - 6, 0 = -5*h - y + q - 0. Factor 40/3*c**2 - 80/3 + 0*c**3 - 5/3*c**4 + h*c.
-5*(c - 2)**2*(c + 2)**2/3
Let h be (-25520)/9280 + -1*373/(-28). Solve 116/7*p - 16/7 - 26/7*p**3 - h*p**2 = 0.
-4, 2/13, 1
Solve 1/5*d**5 + 0*d**2 + 0*d + 9/5*d**4 - 38*d**3 + 0 = 0 for d.
-19, 0, 10
Determine f, given that -1/9*f**2 + 5926/9*f - 8779369/9 = 0.
2963
Let h(r) = -2*r**3 + 78*r**2 - 750*r - 114. Let t be h(21). Determine c, given that -t - 121/3*c**2 + 44*c = 0.
6/11
Let i be 8/(-28) + ((-2082)/14)/1. Let j = i - -149. Factor 1/12*m**3 + 1/3*m + j - 1/3*m**2.
m*(m - 2)**2/12
Let z = -8 + 14. Suppose -y + 2 = l, -4*l + z = 7*y - 2*y. Factor -t**l + 2*t + 5*t**4 + 0*t**3 - 4*t**2 - 2*t**3.
2*t*(t - 1)*(t + 1)*(2*t - 1)
Let c = 18186 + -55040/3. Let d = | {
"pile_set_name": "DM Mathematics"
} |
he hundreds digit of 12665529?
5
What is the hundreds digit of 16835405?
4
What is the hundreds digit of 1740928?
9
What is the hundreds digit of 99848?
8
What is the thousands digit of 412374?
2
What is the hundred thousands digit of 821273?
8
What is the ten millions digit of 15922078?
1
What is the hundred thousands digit of 148766?
1
What is the ten thousands digit of 37226?
3
What is the ten millions digit of 25202341?
2
What is the ten thousands digit of 10220165?
2
What is the hundred thousands digit of 506043?
5
What is the tens digit of 187225?
2
What is the thousands digit of 88869?
8
What is the ten thousands digit of 2747021?
4
What is the thousands digit of 251317?
1
What is the thousands digit of 148284?
8
What is the tens digit of 2834719?
1
What is the units digit of 119809?
9
What is the tens digit of 118294?
9
What is the hundred thousands digit of 139996?
1
What is the tens digit of 5132588?
8
What is the hundred thousands digit of 3807721?
8
What is the units digit of 30227163?
3
What is the units digit of 34894?
4
What is the units digit of 22554140?
0
What is the tens digit of 1314036?
3
What is the hundred thousands digit of 136577?
1
What is the hundred thousands digit of 11134282?
1
What is the thousands digit of 6380667?
0
What is the ten thousands digit of 934678?
3
What is the ten thousands digit of 319744?
1
What is the tens digit of 806832?
3
What is the ten thousands digit of 105871?
0
What is the ten thousands digit of 4966118?
6
What is the hundred thousands digit of 18240647?
2
What is the hundred thousands digit of 3391920?
3
What is the thousands digit of 307653?
7
What is the hundreds digit of 2304781?
7
What is the hundreds digit of 2942537?
5
What is the ten thousands digit of 5611818?
1
What is the hundreds digit of 2359898?
8
What is the millions digit of 1855734?
1
What is the thousands digit of 1758272?
8
What is the hundreds digit of 566979?
9
What is the thousands digit of 9472028?
2
What is the tens digit of 23391?
9
What is the ten thousands digit of 4404264?
0
What is the hundred thousands digit of 149390?
1
What is the ten thousands digit of 672019?
7
What is the hundreds digit of 20397934?
9
What is the units digit of 3556192?
2
What is the thousands digit of 2025537?
5
What is the hundred thousands digit of 231269?
2
What is the thousands digit of 214808?
4
What is the hundred thousands digit of 402429?
4
What is the hundred thousands digit of 1874676?
8
What is the units digit of 328286?
6
What is the hundred thousands digit of 313664?
3
What is the units digit of 295016?
6
What is the thousands digit of 9712048?
2
What is the thousands digit of 33293?
3
What is the units digit of 1969225?
5
What is the thousands digit of 85270?
5
What is the tens digit of 523697?
9
What is the hundreds digit of 1586499?
4
What is the hundreds digit of 869246?
2
What is the ten thousands digit of 8987166?
8
What is the thousands digit of 4613377?
3
What is the tens digit of 179520?
2
What is the hundreds digit of 1271211?
2
What is the units digit of 759324?
4
What is the units digit of 1012229?
9
What is the tens digit of 235074?
7
What is the hundred thousands digit of 7301025?
3
What is the millions digit of 29280845?
9
What is the tens digit of 212124?
2
What is the tens digit of 643735?
3
What is the millions digit of 1296766?
1
What is the tens digit of 4511322?
2
What is the hundreds digit of 88607?
6
What is the hundreds digit of 632369?
3
What is the hundred thousands digit of 401275?
4
What is the units digit of 22269973?
3
What is the hundred thousands digit of 7341218?
3
What is the units digit of 969440?
0
What is the millions digit of 2002118?
2
What is the ten thousands digit of 532033?
3
What is the tens digit of 8585002?
0
What is the tens digit of 49916?
1
What is the hundreds digit of 23551693?
6
What is the units digit of 523740?
0
What is the hundred thousands digit of 1553846?
5
What is the units digit of 666105?
5
What is the millions digit of 3932805?
3
What is the hundred thousands digit of 7806931?
8
What is the thousands digit of 3102286?
2
What is the units digit of 16276845?
5
What is the ten thousands digit of 33491221?
9
What is the thousands digit of 404046?
4
What is the units digit of 558886?
6
What is the hundred thousands digit of 1062557?
0
What is the tens digit of 175288?
8
What is the thousands digit of 106880?
6
What is the ten thousands digit of 1309547?
0
What is the ten thousands digit of 226259?
2
What is the ten thousands digit of 392840?
9
What is the ten thousands digit of 988063?
8
What is the tens digit of 215975?
7
What is the ten thousands digit of 3408530?
0
What is the thousands digit of 416275?
6
What is the thousands digit of 340935?
0
What is the hundred thousands digit of 6330968?
3
What is the ten thousands digit of 265830?
6
What is the hundred thousands digit of 4144140?
1
What is the thousands digit of 572099?
2
What is the thousands digit of 324914?
4
What is the units digit of 6364090?
0
What is the ten thousands digit of 1813094?
1
What is the hundred thousands digit of 522486?
5
What is the hundred thousands digit of 495638?
4
What is the ten thousands digit of 1865263?
6
What is the tens digit of 305181?
8
What is the hundreds digit of 4019538?
5
What is the ten thousands digit of 198355?
9
What is the thousands digit of 656752?
6
What is the units digit of 1295614?
4
What is the tens digit of 333948?
4
What is the hundreds digit of 20381608?
6
What is the hundred thousands digit of 10005738?
0
What is the hundreds digit of 2821000?
0
What is the tens digit of 233926?
2
What is the thousands digit of 428887?
8
What is the ten thousands digit of 48578?
4
What is the tens digit of 7364?
6
What is the thousands digit of 5358705?
8
What is the ten thousands digit of 15013511?
1
What is the hundreds digit of 2862686?
6
What is the hundred thousands digit of 1164436?
1
What is the hundred thousands digit of 2615266?
6
What is the thousands digit of 260671?
0
What is the ten millions digit of 34087902?
3
What is the thousands digit of 6447995?
7
What is the millions digit of 6856144?
6
What is the hundreds digit of 5699543?
5
What is the units digit of 3348359?
9
What is the hundred thousands digit of 243372?
2
What is the thousands digit of 695354?
5
What is the hundreds digit of 826523?
5
What is the hundreds digit of 10518752?
7
What is the thousands digit of 958441?
8
What is the ten thousands digit of 6761860?
6
What is the thousands digit of 2874?
2
What is the tens digit of 9482424?
2
What is the ten millions digit of 21908787?
2
What is the hundreds digit of 16873418?
4
What is the units digit of 7786801?
1
What is the hundreds digit of 1203897?
8
What is the millions digit of 8796864?
8
What is the ten thousands digit of 341917?
4
What is the ten thousands digit of 439854?
3
What is the hundreds digit of 9075?
0
What is the tens digit of 7654632?
3
What is the units digit of 1556297?
7
What is the thousands digit of 1961895?
1
What is the units digit of 954653?
3
What is the tens digit of 18818802?
0
What is the tens digit of 568586?
8
What is the thousands digit of 227153?
7
What is the ten thousands digit of 24431441?
3
What is the thousands digit of 8001885?
1
What is the thousands digit of 6757917?
7
What is the hundreds digit of 221186?
1
What is the tens digit of 169573?
7
What is the tens digit of 737645?
4
What is the hundreds digit of 619895?
8
What is the hundred thousands digit of 248795?
2
What is the ten thousands digit of 8401837?
0
What is the tens digit of 11219895?
9
What is the hundred thousands digit of 17121208?
1
What is the thousands digit of 605865?
5
What is the thousands digit of 7899197?
9
What is the thousands digit of 150671?
0
What is the hundred thousands digit of 27954818?
9
What is the ten thousands digit of 7724817?
2
What is the tens digit of 811488?
8
What is the units digit of 1436433?
3
What is the tens digit of 58700?
0
What is the millions digit of 2093562?
2
What is the thousands digit of 1803932?
3
What is the thousands digit of 97615?
7
What is the thousands digit of 1150598?
0
What is the ten thousands digit of 997132?
9
What is the units digit of 1582462?
2
What is the millions digit of 353908 | {
"pile_set_name": "DM Mathematics"
} |
-6 (b) -3/7 (c) -206
b
Which is the biggest value? (a) 0.2 (b) 4/9 (c) -2 (d) -0.01441
b
Which is the third smallest value? (a) -2 (b) 0.2 (c) -20 (d) 12 (e) 0
e
Which is the third smallest value? (a) -0.3 (b) 1.5 (c) 3
c
Which is the biggest value? (a) -4 (b) 0.2 (c) 8 (d) 0.5 (e) -9/5
c
What is the biggest value in -7, 4, 0, -0.1, -29?
4
Which is the second biggest value? (a) 0 (b) -8 (c) 7/5
a
What is the fifth smallest value in -1/3, 5, -5/3, -9, 1?
5
What is the fifth biggest value in -1/6, -0.1, 2/7, -0.4, 0.22?
-0.4
What is the fourth smallest value in -6, 9/5, 4, -4?
4
Which is the third smallest value? (a) -3 (b) -156 (c) 7
c
What is the smallest value in -2/3, 68, -1, 1.5, 4?
-1
What is the third biggest value in -1, 1, 0.02?
-1
What is the biggest value in 4, -221, -0.016?
4
Which is the biggest value? (a) -3 (b) 15 (c) 3/4
b
What is the second biggest value in -3/4, -0.08, 0, -5/4?
-0.08
What is the fifth biggest value in -5/4, 1, 0.4, 7/3, 3?
-5/4
What is the third smallest value in -1, 0.07, 1, -0.052?
0.07
Which is the second biggest value? (a) -4 (b) 3 (c) -1/5 (d) 2/703 (e) 0.3
e
What is the third biggest value in -0.9, 0.1, 2, 0, 15?
0.1
What is the third biggest value in 2/7, 1, -3, -2/15?
-2/15
Which is the fourth biggest value? (a) 5 (b) -1 (c) 6 (d) 15
b
What is the second biggest value in 0.14, 3, -2?
0.14
Which is the second biggest value? (a) 14.4 (b) 71 (c) 2/3
a
What is the biggest value in -4, 5, 0.156?
5
What is the third biggest value in 0.2, -6, 1/2, -7/2?
-7/2
What is the second smallest value in -1, 0, -2/11, -5?
-1
Which is the smallest value? (a) -5 (b) 4 (c) 0.5 (d) -3/7
a
What is the second smallest value in -8/17, 0.5, 0?
0
What is the fourth smallest value in -0.5, 5, -4/5, 2/5?
5
Which is the second biggest value? (a) 1 (b) -1 (c) -100
b
Which is the third smallest value? (a) -5 (b) 0.5 (c) 0 (d) 0.68
b
What is the third smallest value in 5, -0.1, 1/24, -3?
1/24
Which is the third smallest value? (a) 3 (b) -3/4 (c) 0.26
a
Which is the second smallest value? (a) 2/7 (b) 92/9 (c) -1
a
What is the second smallest value in -22, 26, 5, -2/9?
-2/9
Which is the second biggest value? (a) 0.03 (b) 2/3 (c) -1/65
a
What is the second biggest value in 2/15, 1/3, 2, -5?
1/3
Which is the third biggest value? (a) 0.5 (b) 5 (c) -0.29 (d) -0.17
d
Which is the third biggest value? (a) 3 (b) 7 (c) -1 (d) -1/5
d
What is the smallest value in 1/3, 0.4, 1/6, -0.1?
-0.1
Which is the fourth smallest value? (a) -0.5 (b) -2/21 (c) 1 (d) 0
c
What is the smallest value in 326, 1/26, -3?
-3
What is the third biggest value in -101/3, 5, -1/4?
-101/3
What is the biggest value in 0, 4, 0.8?
4
Which is the second biggest value? (a) 10 (b) -14/3 (c) -2/9
c
Which is the second smallest value? (a) -17060 (b) -0.3 (c) -5
c
What is the second smallest value in 5, 3/5, 1.2, -0.3, 19/4?
3/5
What is the smallest value in -0.2, 0.039, -1, -2/5?
-1
What is the third biggest value in 0.1, -259, -3/4?
-259
What is the third smallest value in 0.5, -3, 4, 118?
4
Which is the smallest value? (a) 47 (b) 1/5 (c) -1
c
What is the biggest value in 0, 0.4, -47, -4?
0.4
Which is the third smallest value? (a) -3 (b) 8 (c) 0
b
Which is the second biggest value? (a) 1 (b) -1 (c) -0.033 (d) -22
c
What is the fourth biggest value in -2/71, 4, 0.1, -3?
-3
What is the second biggest value in 10, 3/64, -5?
3/64
Which is the second biggest value? (a) 4/5 (b) 5 (c) 3 (d) 11
b
What is the fourth biggest value in 0.4, -2, 0.3, -338?
-338
What is the third smallest value in 4, 2/9, -0.01?
4
Which is the second smallest value? (a) -2 (b) -0.015 (c) -3/5
c
Which is the third biggest value? (a) 1 (b) 3/2 (c) 0.1 (d) -0.4 (e) 0.3
e
What is the third biggest value in 0.4, -2/5, 74/7?
-2/5
What is the second smallest value in -1/6, 60, -5/4?
-1/6
Which is the second biggest value? (a) 2/13 (b) 25 (c) 0.7 (d) -3/8 (e) -4
c
Which is the fifth biggest value? (a) 2 (b) -3 (c) 5/2 (d) -4 (e) 2.13
d
What is the second smallest value in -5, 0.4, -54, -3/5?
-5
Which is the second biggest value? (a) -3 (b) 6/31 (c) -1/7 (d) 0.4
b
What is the second smallest value in 1, -3, -1/2, 221?
-1/2
What is the second smallest value in 23, -0.2, -1, -5?
-1
What is the second biggest value in -2/7, -6, 1/2?
-2/7
Which is the smallest value? (a) 3/8 (b) 2 (c) 1/2 (d) 2/5
a
What is the smallest value in 0.2, 69, 20?
0.2
What is the fourth smallest value in -0.2, 2, -1/6, -2/11, 0.3?
0.3
What is the fourth biggest value in -7/4, -0.4, 1.7, 0.5?
-7/4
What is the third biggest value in -19, -0.05, -13?
-19
Which is the third smallest value? (a) -2 (b) -5/4 (c) 54 (d) 4
d
Which is the second biggest value? (a) -4 (b) -0.1 (c) -203
a
What is the third biggest value in -1/5, 0.041, -28?
-28
What is the smallest value in -9, 3.2, 1.1?
-9
Which is the second biggest value? (a) 1/5 (b) 0.5 (c) 109 (d) -1
b
Which is the smallest value? (a) -2/15 (b) -3 (c) 41 (d) 4
b
Which is the second smallest value? (a) -42 (b) 0.1 (c) 9 (d) -4
d
Which is the third biggest value? (a) -50 (b) -0.1 (c) -4/5 (d) -2
d
What is the second smallest value in -1/4, -0.4, 2/5, 10, 2/15?
-1/4
Which is the biggest value? (a) 3 (b) -0.3 (c) -28/3 (d) 5
d
What is the biggest value in -2/9, 19, -50/17?
19
Which is the fourth biggest value? (a) -6 (b) 2 (c) -3/4 (d) -0.3
a
Which is the smallest value? (a) 2 (b) 4 (c) 110
a
Which is the smallest value? (a) -1 (b) 3/7 (c) -7/3 (d) -1/4
c
Which is the third biggest value? (a) 1/6 (b) -0.01 (c) 2/9
b
Which is the third smallest value? (a) 7 (b) 0.61 (c) 4
a
What is the smallest value in 3, 10.32, -4?
-4
Which is the second biggest value? (a) 0.3 (b) 3 (c) -1/6
a
Which is the biggest value? (a) -0.1 (b) 0.14 (c) 2/3 (d) -7
c
Which is the third smallest value? (a) 14.64 (b) -4 (c) -2/7 (d) -0.4
c
Which is the third smallest value? (a) -3 (b) 82 (c) -2
b
Which is the third biggest value? (a) -4/11 (b) -0.4 (c) 12 (d) -4
b
Which is the smallest value? (a) -17 (b) -1/2 (c) 12/11
a
What is the third smallest value in -0.26, 6/7, -0.4, 0.1?
0.1
Which is the biggest value? (a) 0.5 (b) -130 (c) 1/5 (d) 5
d
What is the biggest value in 1/5, -2, 4, -69, 1/6?
4
What is the third biggest value in -46, 0.4, 0, -1?
-1
What is the fourth biggest value in 0.2, 4, 0.04, -0.1, -45?
-0.1
Which is the second biggest value? (a) 67/4 (b) -1 (c) -0.11
c
What is the second biggest value in 1/4, 237/5, -1/2, 6?
6
Which is the third smallest value? (a) -32/11 (b) -0.2 (c) -2/13
c
Which is the third biggest value? (a) -0.6 (b) 13 (c) -0.2 (d) 0.3
c
Which is the biggest value? (a) 1.3 (b) 5 (c) -1
b
Which is the third biggest value? (a) -4.87 (b) 4 (c) 3
a
What is the smallest value in -0.5, 25, 10?
-0.5
Which is the fifth biggest value? (a) -1 (b) -4 (c) -5 (d) -2 (e) -4/5
c
What is the biggest value in -7, -5/3, -9?
-5/3
What is the smallest value in 0, 1, -1898?
-1898
Which is the second biggest value? (a) -0.4 (b) 0.3 (c) -5 (d) 0.03 (e) 9/2
b
What is the fourth smallest value in -0.5, 2, 45, 5?
45
What is the biggest value in 8, -1/3, -0.4, 0.05?
8
What is the second smallest value in 22.17, -1, -2, 1?
-1
What is the fourth smallest value in 2/3, -2/33, 3, -5?
3
Which is the second smallest value? (a) 2 (b) 95 (c) 0
a
Which is the second biggest value? (a) 3 (b) -0.5 (c) 0.4 (d) 18
a
What is the third smallest value in 5, -0.59, -3?
5
What is the smallest value in -2, 4, -3, -13/14?
-3
Which is the third biggest value? (a) 0.22 (b) -0.6 (c) -29
c
What is the second smallest value in -1, -2/7, -0.3, 43, 3/5?
-0.3
Which is the third smallest value? (a) 1/6 (b) 1/4 (c) -9 (d) 0.1
a
What is the fifth biggest value in 3, -3, 4/7, 5, 4?
-3
What is the second biggest value in -17, 3, -0.05?
-0.05
What is the fourth smallest value in 4, 1, 0.2, -2/5, -1/61?
1
What is the third biggest value in -3, -941, -3/2?
-941
Which is the smallest value? (a) 2812 (b) 3 (c) -1
c
What is the second smallest value in -1493, 1, 5?
1
Which is the third biggest value? (a) 777 (b) 2/3 (c) -0.01
c
Which is t | {
"pile_set_name": "DM Mathematics"
} |
114
What is the common denominator of -173/180 and 29/45?
180
What is the smallest common multiple of 2181 and 4362?
4362
What is the least common multiple of 15 and 21?
105
What is the smallest common multiple of 224 and 7?
224
Calculate the least common multiple of 1764 and 24.
3528
What is the common denominator of -1/936 and -51/364?
6552
What is the lowest common multiple of 11 and 1010?
11110
What is the common denominator of 22/5 and -99/488?
2440
What is the least common multiple of 56 and 98?
392
Calculate the lowest common multiple of 513 and 741.
6669
Calculate the lowest common multiple of 1524 and 12.
1524
Find the common denominator of 125/36 and 149/90.
180
Find the common denominator of -11/2846 and 91/6.
8538
Calculate the common denominator of 95/116 and 49/5162.
10324
Calculate the common denominator of -101/1296 and 11/1512.
9072
Calculate the lowest common multiple of 5 and 1330.
1330
What is the common denominator of -68/57 and 74/33?
627
Calculate the least common multiple of 5915 and 4225.
29575
Find the common denominator of -111/10 and 21/46.
230
What is the common denominator of -19/96 and 83/60?
480
Calculate the smallest common multiple of 328 and 20.
1640
Calculate the lowest common multiple of 630 and 27.
1890
What is the lowest common multiple of 16 and 12?
48
What is the least common multiple of 210 and 630?
630
What is the smallest common multiple of 40 and 515?
4120
What is the lowest common multiple of 16 and 8?
16
Calculate the smallest common multiple of 35 and 1710.
11970
Calculate the common denominator of 54/1771 and 27/1610.
17710
What is the smallest common multiple of 369 and 1271?
11439
What is the common denominator of 29/3602 and 48/11?
39622
What is the least common multiple of 70 and 245?
490
What is the least common multiple of 1554 and 98?
10878
What is the common denominator of -73/328 and 33/8?
328
What is the lowest common multiple of 30 and 18?
90
Find the common denominator of -49/24 and -37/4056.
4056
Calculate the least common multiple of 18 and 81.
162
Find the common denominator of -107/36 and 25/1998.
3996
Calculate the least common multiple of 374 and 88.
1496
Calculate the lowest common multiple of 588 and 27.
5292
Find the common denominator of -83/78 and 61/26.
78
What is the common denominator of -71/292 and -99/136?
9928
Calculate the common denominator of -19/12 and 43/3426.
6852
What is the least common multiple of 1143 and 3429?
3429
Calculate the lowest common multiple of 232 and 116.
232
Find the common denominator of 89/528 and -83/792.
1584
Find the common denominator of -63/160 and 69/1220.
9760
What is the common denominator of -99/280 and 127/560?
560
Find the common denominator of -5/294 and 11/1764.
1764
What is the smallest common multiple of 159 and 20?
3180
Find the common denominator of 47/5810 and -87/3320.
23240
What is the least common multiple of 1700 and 1360?
6800
What is the common denominator of 13/148 and -55/2?
148
Calculate the smallest common multiple of 195 and 897.
4485
What is the least common multiple of 4227 and 12?
16908
Find the common denominator of -1/10 and 73/64.
320
Calculate the common denominator of 91/132 and -93/3740.
11220
Calculate the lowest common multiple of 344 and 43.
344
Find the common denominator of -19/3538 and -13/16.
28304
Calculate the common denominator of 173/210 and -25/4.
420
Calculate the common denominator of -101/14 and 105/68.
476
Find the common denominator of 13/708 and -79/118.
708
What is the smallest common multiple of 14 and 1302?
1302
Calculate the common denominator of 22/771 and -31/5397.
5397
What is the common denominator of -97/102 and -55/8?
408
What is the smallest common multiple of 9 and 8214?
24642
Calculate the common denominator of 3/109 and -1/6.
654
Find the common denominator of -29/3 and 41/26195.
78585
Find the common denominator of -44/5 and -82/15.
15
Calculate the lowest common multiple of 1080 and 33.
11880
Calculate the smallest common multiple of 13 and 13.
13
What is the common denominator of 22/93 and 47?
93
What is the common denominator of -97/1118 and -62/39?
3354
Calculate the smallest common multiple of 408 and 240.
4080
Calculate the least common multiple of 30 and 25.
150
Calculate the common denominator of -63/806 and 9/8.
3224
Calculate the lowest common multiple of 11 and 4796.
4796
Calculate the least common multiple of 48 and 132.
528
Find the common denominator of -43/10 and 79/12352.
61760
Calculate the common denominator of -28/699 and -49/72.
16776
What is the smallest common multiple of 24 and 468?
936
What is the least common multiple of 24 and 96?
96
What is the smallest common multiple of 246 and 14?
1722
Calculate the lowest common multiple of 44 and 4.
44
Calculate the lowest common multiple of 152 and 76.
152
Find the common denominator of 61/24 and 97/1464.
1464
Calculate the smallest common multiple of 18 and 220.
1980
What is the common denominator of -65/77 and 83/392?
4312
What is the common denominator of 31/1077 and 101/24?
8616
What is the common denominator of -63/44 and -97/240?
2640
Calculate the least common multiple of 100 and 140.
700
Find the common denominator of 15/11 and 37/40.
440
Calculate the lowest common multiple of 12 and 704.
2112
Calculate the lowest common multiple of 1140 and 330.
12540
Calculate the common denominator of -91/34 and -53/102.
102
What is the common denominator of 69/442 and 38/143?
4862
What is the common denominator of 71/32 and -161/480?
480
Calculate the common denominator of 27/77 and -13/44.
308
What is the least common multiple of 78 and 2158?
6474
Calculate the common denominator of 41/102 and -59/7.
714
What is the common denominator of 81/686 and -127/84?
4116
Find the common denominator of 63/20 and 11/20.
20
Find the common denominator of 47/1422 and 109/12.
2844
Find the common denominator of -25/264 and 17/88.
264
Calculate the least common multiple of 7 and 1320.
9240
Calculate the common denominator of 55/8 and 97/684.
1368
Calculate the smallest common multiple of 3078 and 741.
40014
Calculate the least common multiple of 5 and 669.
3345
Calculate the smallest common multiple of 204 and 102.
204
Calculate the lowest common multiple of 1188 and 270.
5940
Calculate the lowest common multiple of 22 and 2996.
32956
Calculate the common denominator of 103/14 and -44/371.
742
Find the common denominator of -50/7 and 73/3.
21
Calculate the common denominator of -61/8 and 103/190.
760
Calculate the least common multiple of 12 and 48.
48
Find the common denominator of -107/6 and 28/1009.
6054
Calculate the common denominator of 42 and -44/87.
87
What is the common denominator of 51/70 and -101/126?
630
Calculate the lowest common multiple of 2408 and 903.
7224
Calculate the common denominator of 81/4888 and 13/282.
14664
What is the common denominator of -25/84 and 25/882?
1764
What is the least common multiple of 8 and 40?
40
What is the common denominator of 33/76 and -83/18?
684
Calculate the common denominator of -11/5 and 9/55.
55
What is the smallest common multiple of 187 and 102?
1122
Calculate the smallest common multiple of 64 and 448.
448
What is the lowest common multiple of 222 and 222?
222
Calculate the common denominator of -163/510 and 23/1020.
1020
Calculate the smallest common multiple of 8766 and 33.
96426
What is the least common multiple of 8 and 140?
280
What is the common denominator of -79/16 and 19/32?
32
What is the smallest common multiple of 10 and 3616?
18080
Calculate the common denominator of 40/143 and -94/273.
3003
What is the common denominator of 41/24 and -27/44?
264
What is the lowest common multiple of 18 and 39?
234
What is the common denominator of -79/120 and -28/9?
360
Find the common denominator of 31/91 and -51/364.
364
Calculate the lowest common multiple of 1260 and 9.
1260
Find the common denominator of 37/112 and 49/128.
896
Calculate the least common multiple of 1008 and 96.
2016
Calculate the least common multiple of 72 and 112.
1008
What is the common denominator of -1/69 and -9/5?
345
What is the common denominator of -127/60 and 179/120?
120
Calculate the least common multiple of 437 and 8.
3496
Calculate the lowest common multiple of 10 and 82.
410
Fi | {
"pile_set_name": "DM Mathematics"
} |
ue in g, -1/2, -6?
-6
Let n = -205/3 - -67. Let j = 0.33 - 0.53. Which is the biggest value? (a) j (b) 2 (c) n
b
Let t = -653 - -652. Let h = 8 - 13. What is the biggest value in t, 3/5, h?
3/5
Let y be 1*(-1)/4*(-8)/11. Which is the smallest value? (a) 4 (b) y (c) 8 (d) -2/7
d
Let y = -7/212 - -5147/14628. Let v = 8/23 + y. What is the third biggest value in v, 0, -5?
-5
Let n = 16 + -15.8. Which is the second biggest value? (a) 1 (b) n (c) -7
b
Let z = 0.3 - 4.3. Let c = 1 + z. Let x = -6 - -6.5. What is the third biggest value in x, -1, c?
c
Let o = 4 + -3.9. Let p = 5 + -1. Suppose p = -n + 5*n. What is the third biggest value in n, 0.5, o?
o
Let f be (2/15)/((-1)/3). Let g be (2/(-452))/(3/(-6)). Let y = g + 213/1469. Which is the third smallest value? (a) -1/5 (b) y (c) f
b
Let j = -12.1 - -12.2. Let k be -1 - 1 - 48/(-22). Which is the smallest value? (a) j (b) k (c) 6
a
Let f(c) = -3*c + 12. Let b be f(5). Let r = 6.3 + -1.3. What is the third biggest value in b, 0.2, r?
b
Let k = -4.7 + 2.7. Which is the smallest value? (a) 3 (b) 2/3 (c) k
c
Let w(i) = 8*i + 72. Let l be w(-9). Let s = 0 - 0.4. Which is the biggest value? (a) l (b) s (c) 4
c
Let n = -25 - -24.9. What is the second smallest value in 0.2, 4/3, n?
0.2
Let n(q) be the first derivative of -q**3/3 - 3*q**2 - 10*q + 4. Let t be n(-4). Let l = 0.38 - 0.08. Which is the third biggest value? (a) 0.5 (b) l (c) t
c
Let r = -0.6 - -4.6. Which is the third smallest value? (a) r (b) 12 (c) 4/9
b
Let i = 7.99 + -8. Let f = i - 0.39. Which is the smallest value? (a) -4 (b) 2 (c) f
a
Let p = -36 - -181/5. Let v = 2.1 - 3.8. Let n = v + 1.8. What is the smallest value in 2/9, p, n?
n
Suppose -z = -3*r - 19, 0 = -3*z - 0*r + 4*r + 32. Let f = 1 + z. What is the smallest value in f, 0, 1/3?
0
Let f be 1/(-4) + (-66)/120. Let u = -0.7 + 1.2. What is the smallest value in f, u, -4/7?
f
Let t = 45 - 48. Let h = 6 - 2. Let s = 0.8 - -4.2. What is the third biggest value in h, t, s?
t
Let k = -86.8 + 87. What is the third smallest value in -0.3, 3/5, k, 0.1?
k
Let w = 7.014 + -0.054. Let v = w - 7. Let i = v + -0.46. Which is the third smallest value? (a) -3/4 (b) -4 (c) i
c
Let z = 6 - 2. Let r be (z/3)/4*15. What is the third biggest value in r, 0, -2/7?
-2/7
Let w = -1.2 - -6.2. What is the second biggest value in w, -1/7, -4?
-1/7
Suppose 3*w - 10 = -f, 0 = -w - w + 4. Let t be ((-3)/(-27))/((-2)/f). Which is the third biggest value? (a) 0.5 (b) 1/3 (c) t
c
Let d(s) = -s**2 + s - 5. Let u be d(0). Let y be 14/(-10) + u + 6. What is the second biggest value in y, -2/11, 6/7?
-2/11
Let p(o) = -3*o + 17. Let s be p(6). Let v = -15766/27 - -584. Which is the biggest value? (a) -2 (b) s (c) v
c
Let a = -1.28 + 0.08. Let n = a - 0.8. Let v = -1 + 1.1. What is the biggest value in v, n, 1/9?
1/9
Let q = 22 - 8. Let y be (-4)/q + 66/(-14). Let r be (2/y)/((-14)/(-10)). What is the second smallest value in 5, 0.3, r?
0.3
Let k be 1 + (4 - 2 - -7). Let y be (-4)/k - (-3)/20. Let o be 3/6 + 7/(-4). Which is the third smallest value? (a) o (b) y (c) -0.4
b
Let l = -5.2 + 5. Which is the third smallest value? (a) 1 (b) l (c) 0.1 (d) 3
a
Let g = -7.93 - -8. Let y = -0.53 - g. Let c = 0.2 + y. What is the smallest value in c, 0.5, -1/5?
c
Let j = 13 - -6. Suppose -j = 5*a + 1. What is the second smallest value in a, -0.02, 0.4?
-0.02
Suppose 13*k - 16*k + 15 = 0. Which is the biggest value? (a) -1 (b) k (c) 0
b
Let n = 17 - -13. Let f be 26/n - (-10)/(-15). Which is the third smallest value? (a) -1 (b) 0.1 (c) f
c
Let c(d) = -2*d**2 - 4*d. Let a be c(-3). Let b be 1/(7 - a/(-3)). What is the biggest value in 0.5, b, 3?
3
Let p = -0.06 - 1.94. Let t = 32 - 28. Let h be (-4)/(2/((-2)/(-9))). Which is the second biggest value? (a) p (b) t (c) h
c
Let k(f) = -7*f**3 - 2*f**2. Let d be k(-1). Let s = 11/10 - 8/5. What is the third smallest value in d, 1, s?
d
Let j = -1.7 + -18.3. Let r = j - -19.8. Which is the third biggest value? (a) -1/2 (b) r (c) 2
a
Let j = 38016868891779/3724 + -10208611320. Let o = j + -2/931. Let z = -91 + o. Which is the third smallest value? (a) z (b) 2 (c) -2/7
b
Let j = -6.7 + 7. Let i(x) = -x**3 - 3*x**2 + 4*x + 5. Let z be i(-4). Which is the biggest value? (a) z (b) j (c) -3
a
Let d = -19 + 16. Which is the biggest value? (a) 1.1 (b) -1/4 (c) d
a
Let o = 0.08 + 0.02. What is the biggest value in -0.4, o, 5, -0.1?
5
Let m = -4.11 - -0.11. Let n = 6 + m. Let o = -6 + n. Which is the third biggest value? (a) o (b) 0.2 (c) 0.5
a
Suppose 0 = -s - 3*s - 12, 0 = -4*m + 2*s + 2. Let k(u) = -35*u - 382. Let i be k(-11). Let d = 0.3 - 2.3. What is the third smallest value in m, d, i?
i
Let x = -1 + 1. Let u = -3.5 - 0.5. Let f be (-6)/(-24) + 2/56*-3. Which is the third biggest value? (a) u (b) x (c) f
a
Let h = 62.7 - 63. What is the second smallest value in h, -55, -2?
-2
Let x = -35.3 + 97. Let s = x - 67. Let m = s + 0.3. Which is the smallest value? (a) m (b) -4 (c) 0.1
a
Let z = 31/100 + -14/25. Let x = -1 + 0. What is the second biggest value in x, -3, z?
x
Let q = 0.2 - 0.5. Let w = -0.23 - q. Let t = -0.47 + w. What is the third biggest value in -2, t, 4?
-2
Let z = -6.94 + 7. What is the fourth smallest value in 0, 2, -5, z?
2
Let y(i) = i**2 - i - 1. Let m be y(-1). Let j be m - 2/36*3. What is the smallest value in -0.5, 0.5, j?
-0.5
Suppose -3*q - 4*y - 8 = -2*q, -5*q - 19 = -y. Let h = -7 - q. Which is the third biggest value? (a) 3 (b) h (c) 2
b
Let x be -2 + 3/(-1) + 2. Suppose 7*p - 4*p + 12 = 0. What is the smallest value in -0.2, x, p?
p
Let w be 0 + 2 - (-5)/(-4). Let t = -857/3800 + 3/200. Let y = t + -7/57. What is the second smallest value in w, -5, y?
y
Let n be (128/288)/(2/9). Let g = 0.7 - -2.3. Which is the second biggest value? (a) -3 (b) n (c) g
b
Let h = 1.1 - 3.1. Let a = 0.8 + 0.2. Let t = a + -2. What is the third biggest value in t, 0, h?
h
Let f = 13661/30340 + -2/7585. Let s = -3/40 + f. Let y(z) = -3*z + 1. Let l be y(1). Which is the second smallest value? (a) s (b) l (c) 2/9
c
Suppose -i + 0*i = -11. Suppose -u + 2*p = 5, -2*u = 3*u + 4*p + i. Let o be ((-15)/(-6) + u)*2. Which is the third smallest value? (a) -5 (b) 2/7 (c) o
b
Let f = 0.3 + -0.4. Let g = 0 - f. Let b be (-14)/(-10) + (-1 - 1). What is the third smallest value in 0.2, b, g?
0.2
Let u = -25 + 25.2. Let k = 7.3 - 7. Which is the third smallest value? (a) u (b) k (c) 5
c
Let r = 251/4 + -63. Let v = -7.5 - -8. Which is the second biggest value? (a) 4 (b) v (c) r
b
Let g = 0.06 - -1.94. Let l = 12.8 + -13. Which is the smallest value? (a) l (b) g (c) 2/7
a
Let g be 2 - (1 - (-33)/27). Suppose 5*b - 4*b = 0. Let d be ((-1)/2)/(1 - b). What is the third smallest value in d, -0.1, g?
-0.1
Let u be -1 - -1 - 6/10. Let j be (-2)/(7/(-5) - -1). Suppose -3*w - j = 2*w. What is the second smallest value in w, -1/4, u?
u
Suppose 0 = x - 6*x. Let j = 4 + x. Which is the third biggest value? (a) -6 (b) 2/15 (c) j
a
Let y(u) = 72*u**3 + u**2 - 1. Let p be y(-1). Let j be (6/p)/((-2)/6). What is the biggest value in 0, 2/13, j?
j
Suppose -u = -2, -3 = 5*m - 4*u - 0. Which is the biggest value? (a) -1/2 (b) -24 (c) m
c
Let p = 13.3 - 12. Let k = p + 3.7. Which is the third smallest value? (a) -4 (b) k (c) 0
b
Let x = 0.33 - 1.33. Which is the second smallest value? (a) -5 (b) x (c) 2
b
Let t = 3.3 - 3. Let q = t - -0.1. What is the third biggest value in 1/4, q, -3?
-3
Let f = -18/11 + 104/77. What is the second biggest value in -3, 2/19, -2, f?
f
Let s = -10 - -15. Let o be (-8 + 171/18)/((-9)/4). What is the biggest value in 1, o, s?
s
Let g = 5/391 - 997/16813. Let z = g - 48/817. Let x = 4 - 0. Which is the third biggest value? (a) z (b) 0 (c) x
a
Let n = -2.148 + 0.058. Let o = 17 + -17.09. Let z = n - o. What is the third smallest value in 0.4, 2/21, z?
0.4
Let i = 0.7 - 0.3. Let s = -0.02 - 0.58. Let r = -0.5 - s. What is the second biggest value in r, i, 0.2?
0.2
Let j = 0.08 + -2.08. Let p = 5.23 - 0.23. What is the third biggest value in j, p, -5?
-5
Let z be 2/8 + (-55)/28. Let y = z + 2. Let f = 0.48 + -0.18. Which is the second smallest value? (a) -0.1 (b) y (c) f
b | {
"pile_set_name": "DM Mathematics"
} |
(-3 - 3 + 7)*(2*p - 46 + 46) - p + 2*p + p.
4*p
Expand (-o**3 - 3*o**3 + o**3)*(-3*o - o + 2*o) - o**4 + 0*o**4 - 6*o**4.
-o**4
Expand (i - 2 + 2)*(3*i**2 - 7*i**2 - 40*i**2).
-44*i**3
Expand 27*o**2 - 27*o**2 - 13*o**5 - 2*o**5 - 4*o + 4*o + (-2*o**5 - o + o)*(-2 + 1 + 2).
-17*o**5
Expand d + d - 3 + 6 + 2*d**2 + (d - 5*d + 3*d)*(0 - d + 0).
3*d**2 + 2*d + 3
Expand (4*v + 3*v - 2*v + (2 - 1 - 2)*(2 - 2*v - 2) + v + 1 - 1)*(4*v**3 + 5*v**3 - 6*v**3).
24*v**4
Expand -1 + i**3 + 1 + (-4*i**2 - i**2 - i**2)*(0*i + 2*i - 5*i).
19*i**3
Expand (-3 - 7*a + 7*a + 2*a)*(4 - 2 - 4).
-4*a + 6
Expand 1 + 2*s**4 - 1 + (-s**2 + s**3 + s**2)*(-s + s + s) + 0*s + s**4 + 0*s + 0*s**4 + 0*s**4 + s**4 + (3*s**2 + 2*s**2 - 4*s**2)*(-2*s**2 - 3*s**2 + 3*s**2).
3*s**4
Expand -7*y + 6*y + 10*y + (-y + 4*y - 5*y)*(3 - 2 - 3) + 2*y - 2*y + y + (0 + 4 - 2)*(1 + y - 1) + 2*y + 0 + 0.
18*y
Expand (55 + 3 + 5)*(2 - 2 - 2*o**3).
-126*o**3
Expand (-2*p - 2 + 2)*(2 + 0 - 1) - 4*p + 4*p + p + (-2 + 0 + 4)*(-1 + 2*p + 1) + 4*p - p - 4*p - 3 + 2*p + 3 - 2.
4*p - 2
Expand (0*h**4 + 1 + 1 - h**4)*((2 - 1 + 0)*(2 - 6 + 2) + 5 - 2 - 2).
h**4 - 2
Expand (4 - 1 - 1)*(-34*r**2 + 2*r**2 - 14*r**2).
-92*r**2
Expand ((0 + 0 - 1)*(4 - 4 + 4) + 0 + 2 - 4)*(-3*n - 3 + 3).
18*n
Expand (-4*w**2 + 4*w**2 - 6*w**3)*(3*w + 5 - 5)*(1 - 6 + 4).
18*w**4
Expand (0*x - 4*x + x + (-2*x + 0*x + x)*(1 + 2 - 2))*(5 + 0 + 1)*(3*x**2 - 3*x**2 + x**4).
-24*x**5
Expand -l**5 + 3*l**5 - l**5 + 0*l**5 + 2*l**5 - 3*l**5 + (2*l + l**2 - 2*l)*(0*l**3 + 2*l**3 + 0*l**3) - 15*l**5 + 150*l**3 - 150*l**3.
-13*l**5
Expand (-r**2 + 0 + 0)*(-3 + 3 + 26*r**2) - 4*r**4 + 0*r**4 + 2*r**4.
-28*r**4
Expand (j - 2*j - j)*(-15 + 15 + 6*j**2) + (-1 + 1 - j**2 + (0 + 2*j + 0)*(-1 - 2*j + 1) + 2*j**2 - j + j - 2*j + 2*j - 2*j**2)*(0*j + 2*j - 4*j).
-2*j**3
Expand (0*k - k + 2*k)*(-2*k + 2*k + k) + (0 + 0 + 2)*(k + k - 3*k)*(0*k - k - 2*k).
7*k**2
Expand (0 + 2 - 1)*(-b**5 + 2*b**5 - 2*b**5 + (-11*b**3 - 6*b**3 + 2*b**3)*(-b**2 + 0*b**2 - b**2)).
29*b**5
Expand (2*o**2 + o**2 - 5*o**2)*(4*o - 11*o + 3*o + (0*o + 2*o + 0*o)*(1 + 2 - 2)).
4*o**3
Expand (-2*j + 2*j - j)*(-29*j**3 - 20*j**2 + 20*j**2).
29*j**4
Expand (-k + 0 + 0)*(-5 - 7 + 1).
11*k
Expand -g**3 + 0*g + 0*g + (3*g + 3*g - 5*g)*(2*g**2 - 6*g**2 - g**2) - 3*g**3 - g + g.
-9*g**3
Expand (-4 + 1 - 1)*(-3*y + 0*y + 0*y)*(-1 - y + 1).
-12*y**2
Expand (-4*b + 13*b - 2*b)*(-2*b - 2*b - 2*b).
-42*b**2
Expand (0*x**5 - x**5 + 0*x**5 + (-x**3 + x**3 - 2*x**4)*(x + 2*x - 2*x))*(6 - 24 - 15).
99*x**5
Expand (3 - 1 - 3)*(0 - 2 + 4)*(-2 + 0 + 4 + s) - 5 - 2*s + 5 + 4*s - 3*s - 3*s + (-1 + 2 + 0)*(0 + 0 + s) - 1 + 1 + 2*s.
-3*s - 4
Expand (-3*j + 3*j - j - 1)*(-2 + 3 + 0)*(-9*j - 2*j - 6*j).
17*j**2 + 17*j
Expand (-2*f + 2*f + 2*f + (1 + 0 + 1)*(0*f + 3*f - 2*f) + 3*f + 0*f - f + f + 0*f - 2*f)*(-4*f**4 + 0*f**4 + 3*f**4) - 4*f**5 + 4*f**5 - 6*f**5.
-11*f**5
Expand (-5 + 3 + 4)*(1 + 0 + 1)*(1 - 1 - s)*(0 - 2 + 5).
-12*s
Expand 0*g**2 - 3*g**2 + 2*g**2 + (1 - 1 - 2)*(g**2 + 3*g**2 - 3*g**2) - g**2 + 0*g**2 + 0*g**2 + 2*g**2 - 3 + 3.
-2*g**2
Expand (-9 - 6*b + 9)*(2*b**4 + 0*b**3 + 0*b**3) + 0*b**5 + 2*b**5 + b**5.
-9*b**5
Expand (3 - 1 - 1)*(-3 - 11*b**4 + 3).
-11*b**4
Expand (-2*n + 2*n - 2*n + (-1 + 1 - 2*n)*(0 - 1 + 2))*(16 - 7 + 10).
-76*n
Expand (0*y + 2*y - y + (0 + 1 + 1)*(-4*y + 2*y + 0*y) - 4 - y + 4)*(y - y + 6*y)*(y**2 + 3*y**2 - 2*y**2).
-48*y**4
Expand (1 + 6 - 2)*(z + 3 - 3).
5*z
Expand (-2 - 2*t + 2)*(-17*t**2 + t - 7 + 7).
34*t**3 - 2*t**2
Expand (2 - 2 + 7*k**4)*(k + k + 0*k).
14*k**5
Expand -l**5 + 1 - 1 + 2*l**5 - 5*l**5 + l**5 + (-4*l**5 + l**5 + 5*l**5)*(0 + 3 - 5).
-7*l**5
Expand (77*z**2 + 2*z**5 + 1 + 1 + 0)*(2 - 1 - 3).
-4*z**5 - 154*z**2 - 4
Expand (-3 + i**3 + 3)*(1 - 1 + i) + (17*i**3 + 38*i**3 + i**3)*(-4*i + i + i).
-111*i**4
Expand -22*m**5 + 24*m**5 - 8 - 11 + 3*m**3 + 2*m**5 - 3*m**3 + 5*m**5 - 2*m**5 - m**5 + (0*m**3 - 2*m**3 + 0*m**3)*(-2*m**2 + 0 + 0).
10*m**5 - 19
Expand (1 - 6*n**2 - 16 + 8*n**2 + (-2*n + 2*n + 2*n**2)*(4 - 2 - 1) - 2 - n**2 + 2 + 4*n**2 - n**2 - 5*n**2)*(0 + n + 0).
n**3 - 15*n
Expand (-1 - 2 - 1)*(-2 + q + 2) - 3 + 3 - 2*q + 3 - 2*q - 3.
-8*q
Expand (-n - 3*n - n)*(1 + 2 - 5)*(0 + 2 - 1).
10*n
Expand (2*p - p + p)*(16*p**4 - 135*p**4 + 29*p**4) - 3*p**5 - p**5 + 2*p**5.
-182*p**5
Expand (-13*r + 10 - 10)*(-r**2 - 3*r**2 + 5*r**2) + (1 + 4 - 4)*(-2*r**3 + 5*r**3 - 2*r**3).
-12*r**3
Expand -2 - 1 + 5 + 2*g + (-1 + 2 - 3)*(2*g - 2*g - g) + g - g + g - g + 2*g + 0*g.
6*g + 2
Expand (3*z + 12*z - 3*z)*(0*z + 5*z - z).
48*z**2
Expand (3*t**4 + 2*t**4 - 6*t**4 + (-2*t + 2*t - 2*t**2)*(2*t**2 + 0 + 0) + 4 - 4 - 2*t**4)*(1 + 1 - 1)*(1 + 1 + 1).
-21*t**4
Expand (6 + 8 - 4)*(2 - 2 - 1)*(5*m**5 - 1 - 3*m**5 + 2 + 2*m).
-20*m**5 - 20*m - 10
Expand (-b**2 + 4*b**2 - 2*b**2)*(b - b + 2*b**2) - 2*b + 18*b**4 + 0*b - 11*b**4.
9*b**4 - 2*b
Expand (2*g - 2*g + 2*g)*(3 - 14 - 2*g + 12)*(0*g**2 + g**2 + g**2).
-8*g**4 + 4*g**3
Expand (-3*m**4 + 2*m**4 + 2*m**4)*(-1 + 1 + 2*m) + m**4 - m**5 - m**4 - 7*m**4 - 3*m**5 + 7*m**4.
-2*m**5
Expand (-3*g + g + 3*g)*(-g + 4*g - 4*g + (2 - 3 + 3)*(0*g - g + 0*g) + 10 - 10 + 4*g).
g**2
Expand (-1 - 3 + 1)*(d - 2 + 2 + (d + 0*d + 3*d)*(0 - 1 + 3)).
-27*d
Expand (4*i**2 - 5*i**3 - 4*i**2)*(4*i + 7*i + 2*i).
-65*i**4
Expand (0*t**3 - t**3 + 0*t**3)*(29 - 29 - 12*t)*(2*t + 0 + 0).
24*t**5
Expand 2*f**4 + 4*f**4 + f**2 - 33*f**3 + 36*f**3 + (5*f**3 - f**3 - 2*f**3)*(-5*f + f + 2*f).
2*f**4 + 3*f**3 + f**2
Expand (0*d - d**3 + 0*d)*(5*d + 2*d**2 - 5*d) - d + 4*d - 6*d**5 + 3*d**5.
-5*d**5 + 3*d
Expand (0*u**2 + u**2 - 2*u**2)*(-2 - 2*u + 0 + u).
u**3 + 2*u**2
Expand ((1 - 2*z - 1)*(-1 - 4 + 4) - 17 + 17 - 12*z)*(-2*z**2 + 5*z**2 - 4*z**2).
10*z**3
Expand (0 + 3 - 5)*(4 - 11 - 6)*(-u + u + 2*u).
52*u
Expand (-4*l - 2*l + 4*l)*(0 - 2 + 0) + (-4 + 4 + 3*l)*(0 + 1 - 2).
l
Expand (0*k + 2*k - 4*k)*(3*k**3 + 0*k**3 - 5*k**3) + (-2 + 2 + k)*(0*k**2 + 0*k**2 + 2*k**3) + (0*k + 0*k - k)*(-2*k**3 + k**3 + 0*k**3).
7*k**4
Expand 7*y**4 - 40*y + 40*y + (2*y + 3*y - 4*y)*(2*y**3 + 4*y**3 - 3*y**3).
10*y**4
Expand (-137*d - 15 + 271*d - 136*d)*(-d - 2*d + 0*d).
6*d**2 + 45*d
Expand 4*c + 4*c + 9*c + (-1 - 2 + 2)*(0 + 0 + 2*c) + 7*c + 0 + 0 + (5 - 3 + 0)*(2*c - 4 + 4).
26*c
Expand -6*q + q + 3*q - 1 - 2*q + 1 + 2*q - q + q + (-1 + 4 - 2)*(2 + q - 2) + 2*q + 2*q + 3*q + 2.
6*q + 2
Expand (1 - 6 + 3)*(7*r + 12*r**2 - 7*r).
-24*r**2
Expand (0*t - t - t)*(1 - 1 + 2) + (3 - 3 + t)*((-1 + 2 - 2)*(0 - 3 + 1) - 11 - 7 + 7).
-13*t
Expand -3*t**2 + 2*t**2 + 2*t**2 + (2*t + 1 - 1)*(-6 + 6 - 5*t)*(5 + 2 - 5).
-19*t**2
Expand (-8*x + 2*x - 4 + 2)*(0 + 0 + 4*x).
-24*x**2 - 8*x
Expand -29*b**4 + 44*b - 44*b + 7*b**4 - 3*b**4 - 3*b**4 + (-2*b + 0*b + 0*b)*(4*b**3 + 2*b**3 - 5*b**3) + 3*b**4 + 0*b**4 - b**4.
-28*b**4
Expand -u**3 + 3*u**3 - 3*u**3 + (-u**2 + u**2 + u**2)*(3*u - 3*u + u) + 10*u**3 + 0*u**3 + 5*u**3 + 3*u**3 + 0*u**3 - 4*u**3.
14*u**3
Expand (7 - 2 + 4)*(-4*s + 2*s + s)*(-3*s + 0 + 0).
27*s**2
Expand (-2*b**2 + b**2 + 3*b**2)*(2 - b - 2) - 2*b + 2*b - b**3 + 4*b**3 + b**3 - 3*b**3 + (-4*b + 0*b - b)*(-4*b**2 + 3*b**2 + 2*b**2).
-6*b**3
Expand 1 - 1 - 2*k + 0 - 2*k + 0 + 0*k + 5*k - 4*k + (-k + 0 + 0)*(-2 + 0 + 4) + 0 + k + 0 + 2*k + 2*k - 6*k + 3*k - k + 0*k - 2*k + k - 3 + 2*k.
-3*k - 3
Expand (0*y**2 - 5*y**2 + 2 - 1)*(0*y**2 - 3*y**2 + 2*y**2).
5*y**4 - y**2
Expand (3*q**2 + 3*q**2 - 7*q**2)*(150 - 150 + 50*q).
-50*q**3
Expand (0 - 3 + 1)*(6*o**2 - 3*o**3 - 6*o**2) + o**3 - o**3 - o**3.
5*o**3
Expand (2*m**2 + 1 - 1)*(4*m**2 - 3*m**2 - 15*m**2)*(-m + 2*m - 2*m) + 2*m**4 - 2*m**4 + 2*m**5.
30*m**5
Expand (2*l**2 - l**2 + l**2)*(13*l + 82 - 82).
26*l**3
Expand 0*q**5 - q**3 + 0*q**5 - 4*q**5 + (-2*q**4 + 3*q**4 + q**4)*(q + 3*q + q).
6*q**5 - q**3
Expand 4 - 4 + 4*f**2 + (-3*f + 3*f + f)*(-4 + 4 + 4*f).
8*f**2
Expand (0*g**3 + g**3 - 3*g**3)*(0 + 2*g + 0)*(9 + 4 - 4).
-36*g**4
Expand (2 - 2 + 2*o)*((2 - 4 + 3)*(6 + 0 - 4) + 2 + 0 + 2) - 1 - o + 1.
11*o
Expand (-3 + 3 + 2)*(-37 - 58 - 9)*(2*p + 2*p - 2*p)*(1 + 4 - 6).
416*p
Expand (-4 + 4 - 2*x)*(1 + x - 1)*(1 - 1 - 2*x**2).
4*x**4
Expand (-1 + 3 + 0)*(9*n + 3*n + n) + 2*n + 2*n - 2*n.
28*n
Expand ((3 - 3 - 2*r**3)*(-r - r + 4*r) + r**4 - r + r)*(0*r - 2*r + 3*r).
-3*r**5
Expand ( | {
"pile_set_name": "DM Mathematics"
} |
9, -53, 21 in decreasing order.
21, -53, -459
Sort 1, -5, -27, -5/7, 2/3, -2/15 in decreasing order.
1, 2/3, -2/15, -5/7, -5, -27
Sort -3, 4, 1997, 3, -6.
-6, -3, 3, 4, 1997
Sort 5791, 0, 1, -10.
-10, 0, 1, 5791
Sort -3, 2, -13, -0.1, -1, 0 in increasing order.
-13, -3, -1, -0.1, 0, 2
Put 57, -144, 43, 1/4 in decreasing order.
57, 43, 1/4, -144
Sort -4, -3, 2, -44, 1 in increasing order.
-44, -4, -3, 1, 2
Put -630, 9/5, 28, 3/2 in increasing order.
-630, 3/2, 9/5, 28
Put -12, 4, -1257, 7 in increasing order.
-1257, -12, 4, 7
Sort 5, 0.4, -5, -4, -837, -0.7.
-837, -5, -4, -0.7, 0.4, 5
Sort -1/5, 2/11, -1, 3/1096 in decreasing order.
2/11, 3/1096, -1/5, -1
Sort -9, 14, -5, -3, 1.
-9, -5, -3, 1, 14
Put 8, -1144, -2, 3, -5 in decreasing order.
8, 3, -2, -5, -1144
Put -1411, 3, 17 in decreasing order.
17, 3, -1411
Put -5, -0.2, -50, -2/317 in decreasing order.
-2/317, -0.2, -5, -50
Sort -3, 6, 1, -2172.
-2172, -3, 1, 6
Sort 6, 1133, 50.
6, 50, 1133
Put 14.3, -0.02, -0.2 in ascending order.
-0.2, -0.02, 14.3
Put 1, 0, 895 in decreasing order.
895, 1, 0
Put 6, 3, 1, 60, -2, 26 in increasing order.
-2, 1, 3, 6, 26, 60
Sort -1, -0.1, -3, 1628, -2/37 in increasing order.
-3, -1, -0.1, -2/37, 1628
Sort -2, 444, 66 in decreasing order.
444, 66, -2
Sort 0, -0.43, -9, -5/4, 4.
-9, -5/4, -0.43, 0, 4
Sort 240, -5, 376 in increasing order.
-5, 240, 376
Sort -457, 4, 5, -5, -3, 11.
-457, -5, -3, 4, 5, 11
Sort -0.09, -3, -0.3, 31/4, -5 in decreasing order.
31/4, -0.09, -0.3, -3, -5
Sort 1, 93, -174.
-174, 1, 93
Sort 5, -58, 115, 2, -7 in ascending order.
-58, -7, 2, 5, 115
Sort -4, 5, -1/36, 1, 0.1, -0.4 in increasing order.
-4, -0.4, -1/36, 0.1, 1, 5
Put -1/8, 4, 19907/21 in ascending order.
-1/8, 4, 19907/21
Sort -17.35, 1.8, 2/7 in descending order.
1.8, 2/7, -17.35
Put 2/9, 0.2298, -1, -4, -0.036, 2 in decreasing order.
2, 0.2298, 2/9, -0.036, -1, -4
Put -1, 42, -17, 0, 3 in descending order.
42, 3, 0, -1, -17
Sort -4, 3, 0, -37, -5 in decreasing order.
3, 0, -4, -5, -37
Sort -3, 4, -20/9, -5/3.
-3, -20/9, -5/3, 4
Put 10, 1, -9, -4 in ascending order.
-9, -4, 1, 10
Sort -2, -2/11, -3635, 1/3, -3.
-3635, -3, -2, -2/11, 1/3
Put -20, -2, -6, 70, 0, -3 in decreasing order.
70, 0, -2, -3, -6, -20
Sort -107, 9, -12, -3 in decreasing order.
9, -3, -12, -107
Put -225, -3, 3, -1, 0 in ascending order.
-225, -3, -1, 0, 3
Put 2, -190, 31, -4 in descending order.
31, 2, -4, -190
Put -714, -4, 0.6 in increasing order.
-714, -4, 0.6
Sort 3, 98472, 1.
1, 3, 98472
Sort -2, 1592/3, 4/5 in descending order.
1592/3, 4/5, -2
Sort 0, 219, -3, 141 in ascending order.
-3, 0, 141, 219
Sort 14/15, -2/41, 5, 1 in decreasing order.
5, 1, 14/15, -2/41
Sort -14, -1, 2, 2757.
-14, -1, 2, 2757
Put -1.764, 3, 33 in increasing order.
-1.764, 3, 33
Sort -12, -24, 6, -4, 4 in descending order.
6, 4, -4, -12, -24
Sort -46, -3, -5, -6, -71, 7.
-71, -46, -6, -5, -3, 7
Put 4/31, 0.249, -4, -0.3 in decreasing order.
0.249, 4/31, -0.3, -4
Sort 0.4, -27, 223 in increasing order.
-27, 0.4, 223
Sort 4, 6, 1161, 5 in descending order.
1161, 6, 5, 4
Sort -6, -1, 20, -36, 0, 3 in descending order.
20, 3, 0, -1, -6, -36
Put -6, -13/53, 521 in ascending order.
-6, -13/53, 521
Sort -1/6, -1, -125.
-125, -1, -1/6
Sort 35, 9, -3, 52, -5 in decreasing order.
52, 35, 9, -3, -5
Sort -0.5, -3, -1184 in descending order.
-0.5, -3, -1184
Sort 2, -72, 9, -359, -5 in ascending order.
-359, -72, -5, 2, 9
Put 1/8, -4, 1, 118, 1/7, 1/33 in descending order.
118, 1, 1/7, 1/8, 1/33, -4
Put -139, -2, 75, -1 in ascending order.
-139, -2, -1, 75
Put 3, -28, -0.01, 2/13, -1 in ascending order.
-28, -1, -0.01, 2/13, 3
Put -2, -0.4, 4, 10, -0.013, 0.05 in decreasing order.
10, 4, 0.05, -0.013, -0.4, -2
Sort -1/2, -3/16, -2/15, 72 in ascending order.
-1/2, -3/16, -2/15, 72
Sort 4, 1658, 0.
0, 4, 1658
Sort 6326, -76, -4 in ascending order.
-76, -4, 6326
Put -9, -33, 3, -2, 122 in descending order.
122, 3, -2, -9, -33
Put -2, -5, -1, 4, -3, -778 in decreasing order.
4, -1, -2, -3, -5, -778
Put -17, -1, -5, 10, 14, -2 in descending order.
14, 10, -1, -2, -5, -17
Sort 28, -93, 2, -1, 5 in ascending order.
-93, -1, 2, 5, 28
Sort -12, -2/5, -13163 in decreasing order.
-2/5, -12, -13163
Sort -138, 42, -1, 1, -4.
-138, -4, -1, 1, 42
Put 1, -44, 4, 5, -20, -1 in descending order.
5, 4, 1, -1, -20, -44
Put -3, 1/3, -2/7, 241.5 in ascending order.
-3, -2/7, 1/3, 241.5
Put -6, 367, 2, -1/4, -1/2 in ascending order.
-6, -1/2, -1/4, 2, 367
Sort 2/25, -57.1, -3, -1, 0.2, 5.
-57.1, -3, -1, 2/25, 0.2, 5
Sort -32, -1, 178.
-32, -1, 178
Sort -5, -132, 200 in decreasing order.
200, -5, -132
Sort 216, -3, -4, -2 in ascending order.
-4, -3, -2, 216
Sort -3, -14, 7, 33 in descending order.
33, 7, -3, -14
Sort -601, -4, 3, 0, -3 in decreasing order.
3, 0, -3, -4, -601
Sort 135, 1, 89 in descending order.
135, 89, 1
Put 2/5, -1, 0.1, 1188 in increasing order.
-1, 0.1, 2/5, 1188
Put -3, -5359, 16 in increasing order.
-5359, -3, 16
Put -3, 7, -4, 667 in decreasing order.
667, 7, -3, -4
Put -2, 64, -1810 in descending order.
64, -2, -1810
Put -2/3, -1/7, -12/325, 1 in ascending order.
-2/3, -1/7, -12/325, 1
Put -188, -1, 0.3, 0.5, 9/11, 0 in decreasing order.
9/11, 0.5, 0.3, 0, -1, -188
Put 0.3, -3/8, -15.4, -0.2, 5/2 in ascending order.
-15.4, -3/8, -0.2, 0.3, 5/2
Sort -1/11, -5, -7895.
-7895, -5, -1/11
Sort 14, 749, -12, 5 in descending order.
749, 14, 5, -12
Put -3, 2433, 11 in increasing order.
-3, 11, 2433
Put 120, 49, -5, -2 in decreasing order.
120, 49, -2, -5
Put -4, -3, 5, -30, 0, -67 in ascending order.
-67, -30, -4, -3, 0, 5
Sort -1/3, 4, 1, -0.02, -412, 2 in increasing order.
-412, -1/3, -0.02, 1, 2, 4
Put -381, -4, 24 in decreasing order.
24, -4, -381
Put 30, 11477, -1/4 in descending order.
11477, 30, -1/4
Sort -53, 2, -2, 1641 in descending order.
1641, 2, -2, -53
Put 8, 75, 2/13, -0.4, 0, 0.1 in descending order.
75, 8, 2/13, 0.1, 0, -0.4
Sort 2, -1, -30319, 3, 4, 1 in decreasing order.
4, 3, 2, 1, -1, -30319
Put 93/5, -9, -135 in increasing order.
-135, -9, 93/5
Put -5/103, -2/9, -0.4 in increasing order.
-0.4, -2/9, -5/103
Put 55, 17, -4, -15, 2 in decreasing order.
55, 17, 2, -4, -15
Sort 550, -9, 11, 2.
-9, 2, 11, 550
Put -0.2, 0.9, 19.7, -0.01, 1 in ascending order.
-0.2, -0.01, 0.9, 1, 19.7
Sort -2913, -6, -0.077 in ascending order.
-2913, -6, -0.077
Put -232.2, -0.08, -1/4, 2/3, -2 in descending order.
2/3, -0.08, -1/4, -2, -232.2
Sort 11, 4, 8, -113.
-113, 4, 8, 11
Put -1/5, 0.1, 7, 9, 8, 5 in ascending order.
-1/5, 0.1, 5, 7, 8, 9
Sort -1, 7, -3, 22, 0.
-3, -1, 0, 7, 22
Sort -34, -2/7, 6/205, 2/25, 10, 3.
-34, -2/7, 6/205, 2/25, 3, 10
Sort -5, -9584, 3 in increasing order.
-9584, -5, 3
Sort -7, -62, 5, 145 in decreasing order.
145, 5, -7, -62
Put 5, 24, -8, 1, 313 in increasing order.
-8, 1, 5, 24, 313
Sort 1, 318, -5, -28 in increasing order.
-28, -5, 1, 318
Sort -4, 2, 1.7, 2/7, 196 in ascending order.
-4, 2/7, 1.7, 2, 196
Put -0.04, -43, -3/5, 0.02, -1/3 in descending order.
0.02, -0.04, -1/3, -3/5, -43
Put 0.71, -12, -2/19, 0.1, -0.3, 7 in decreasing order.
7, 0.71, 0.1, -2/19, -0.3, -12
Put -447, 1.69, 0.11 in decreasing order.
1.69, 0.11, -447
Sort -355, 3, 5, 1.
-355, 1, 3, 5
Put -7, -6, 28, 5, -2, 16 in descending order.
28, 16, 5, -2, -6, -7
Sort 5, 4, 20, -2, -5 in descending order.
20, 5, 4, -2, -5
Sort 0.22, 10, -28/3.
-28/3, 0.22, 10
Put -2, 4, 71, 5, 24 in decreasing order.
71, 24, 5, 4, -2
Put -2, -1269, -1, -4, -8 in ascending order.
-1269, -8, -4, -2, -1
Put -7, 1, -335, 37 in descending order.
37, 1, -7, -335
Sort -24.7, 2, -1, -9 in descending order.
2, -1, -9, -24.7
Put -737, -3, -1277 in decreasing order.
-3, -737, -1277
Sort 8, -5, 210688 in decreasing order.
210688, 8, -5
Sort 2/5, -5, 3, 209.4, -1/5.
-5, -1/5, 2/5, 3, 209.4
Put 5, 15, -1, 39, 2, 1 in ascending order.
-1, 1, 2, 5, 15, 39
Sort -2, -14, 2, 0, 67, -5 in decreasing order.
67, 2, 0, -2, -5, -14
Sort -110, 248, -5 in descending order.
248, -5, -110
Put 3, 2, -4, 5, -2, 1497 in ascending order.
-4, -2, 2, 3, 5, 1497
Sort -0.1, 1, 444, -410 in increasing order.
-410, -0.1, 1, 444
Sort -9921, 42, -1 in increasing order.
-9921, -1, 42
Put 5, 1, 3, 6845, -2 in descending order.
6845, 5, 3, 1, -2
Put -2, -1/7, -9, 28, -1 in descending order.
28, -1/ | {
"pile_set_name": "DM Mathematics"
} |
o letters picked without replacement from ffarafraaaaaiaff?
2/15
What is prob of picking 2 o and 2 r when four letters picked without replacement from ooooooooooorooorror?
105/646
Calculate prob of picking 1 v and 2 j when three letters picked without replacement from {j: 2, w: 1, u: 2, b: 2, v: 1, i: 1}.
1/84
What is prob of picking 1 c and 1 p when two letters picked without replacement from vpvvvvvvpdvvzvcvvvpv?
3/190
What is prob of picking 2 x when two letters picked without replacement from ellxx?
1/10
Calculate prob of picking 2 m when two letters picked without replacement from mmxom.
3/10
Two letters picked without replacement from {w: 2, e: 4, j: 2, c: 2, k: 4, p: 1}. What is prob of picking 1 w and 1 k?
8/105
What is prob of picking 4 e when four letters picked without replacement from {j: 7, e: 7}?
5/143
Two letters picked without replacement from {e: 2, s: 1, l: 1, o: 2, d: 1, x: 1}. Give prob of picking 1 l and 1 e.
1/14
What is prob of picking 1 g and 1 o when two letters picked without replacement from fgmfog?
2/15
Calculate prob of picking 1 o and 1 w when two letters picked without replacement from {b: 6, n: 1, j: 4, o: 2, k: 3, w: 4}.
4/95
Three letters picked without replacement from {y: 1, h: 5, g: 7}. What is prob of picking 1 g and 2 h?
35/143
What is prob of picking 1 v and 1 p when two letters picked without replacement from {b: 1, v: 2, p: 1, z: 3}?
2/21
Four letters picked without replacement from {v: 3, m: 2, n: 1, o: 1, f: 4}. What is prob of picking 1 n and 3 m?
0
Two letters picked without replacement from rlorbbrrlzrlrrrzr. What is prob of picking 1 l and 1 b?
3/68
What is prob of picking 3 l when three letters picked without replacement from {l: 3, a: 4}?
1/35
Two letters picked without replacement from {d: 1, i: 1, e: 1, n: 1, c: 1, h: 2}. What is prob of picking 1 c and 1 d?
1/21
What is prob of picking 3 n and 1 p when four letters picked without replacement from appanapanpn?
2/165
Two letters picked without replacement from {k: 5, m: 2}. Give prob of picking 2 k.
10/21
Calculate prob of picking 3 b and 1 q when four letters picked without replacement from {q: 7, b: 6}.
28/143
What is prob of picking 1 t and 1 k when two letters picked without replacement from {k: 2, t: 1, a: 7}?
2/45
Two letters picked without replacement from {a: 1, e: 2, l: 3, o: 3, t: 1, n: 8}. What is prob of picking 2 l?
1/51
Four letters picked without replacement from grrggggrggggrrgg. What is prob of picking 4 g?
33/182
What is prob of picking 2 y and 1 d when three letters picked without replacement from {y: 3, d: 1, w: 1}?
3/10
Calculate prob of picking 1 t and 1 e when two letters picked without replacement from {e: 7, t: 8, r: 2, l: 1}.
56/153
What is prob of picking 4 f when four letters picked without replacement from {x: 1, f: 7, n: 12}?
7/969
Four letters picked without replacement from oxuxoxou. Give prob of picking 2 x and 2 u.
3/70
Calculate prob of picking 1 z and 2 o when three letters picked without replacement from zzzzozzzozzzz.
1/26
Four letters picked without replacement from luluuu. What is prob of picking 4 u?
1/15
Calculate prob of picking 1 i and 1 r when two letters picked without replacement from nxnnixiirnninxr.
8/105
Calculate prob of picking 3 g when three letters picked without replacement from {g: 3, t: 3}.
1/20
Calculate prob of picking 3 c when three letters picked without replacement from vacxiviivcxcxvvva.
1/680
What is prob of picking 4 l when four letters picked without replacement from {f: 1, l: 7}?
1/2
Three letters picked without replacement from {d: 5, p: 2, j: 2}. What is prob of picking 1 j and 2 p?
1/42
What is prob of picking 1 e and 1 p when two letters picked without replacement from pexpex?
4/15
Two letters picked without replacement from {f: 3, i: 13}. Give prob of picking 1 i and 1 f.
13/40
Four letters picked without replacement from {f: 2, u: 8, s: 3, k: 3}. What is prob of picking 3 k and 1 f?
1/910
Three letters picked without replacement from {w: 9, n: 3}. What is prob of picking 1 w and 2 n?
27/220
Four letters picked without replacement from dnndnnnnnnnnnnnd. What is prob of picking 1 d and 3 n?
33/70
Calculate prob of picking 1 o and 2 m when three letters picked without replacement from myymyyyyyommm.
5/143
Calculate prob of picking 4 n when four letters picked without replacement from {n: 13, e: 3}.
11/28
Three letters picked without replacement from oowonnnonwonnfqooo. Give prob of picking 1 n, 1 o, and 1 w.
2/17
Calculate prob of picking 1 e, 1 y, and 1 c when three letters picked without replacement from {c: 5, q: 3, e: 1, y: 3, s: 2, t: 1}.
3/91
Calculate prob of picking 1 n and 1 e when two letters picked without replacement from nnaenaa.
1/7
Two letters picked without replacement from kkkkkkkkkkkkkkaaxkka. Give prob of picking 1 x and 1 a.
3/190
What is prob of picking 3 o when three letters picked without replacement from ooooyoyoo?
5/12
Calculate prob of picking 1 a and 1 f when two letters picked without replacement from afbffbbabab.
9/55
Calculate prob of picking 2 w when two letters picked without replacement from wvwvvwvvvw.
2/15
Two letters picked without replacement from {j: 3, l: 5, m: 3, s: 3, t: 1}. What is prob of picking 1 j and 1 t?
1/35
Four letters picked without replacement from mmqpmmmmpqqpp. Give prob of picking 1 m, 1 p, and 2 q.
72/715
Three letters picked without replacement from {y: 3, q: 3, h: 1, a: 5}. What is prob of picking 2 a and 1 y?
3/22
What is prob of picking 1 w, 1 s, and 1 j when three letters picked without replacement from jsxwvxwyjwj?
3/55
Calculate prob of picking 2 h when two letters picked without replacement from xxhh.
1/6
Four letters picked without replacement from eeaaaeateat. What is prob of picking 1 a and 3 e?
2/33
What is prob of picking 2 n when two letters picked without replacement from {q: 1, h: 1, s: 1, n: 3, b: 1}?
1/7
Calculate prob of picking 3 e when three letters picked without replacement from ejeeeejejeejejjjjjjj.
7/95
Calculate prob of picking 2 l and 2 f when four letters picked without replacement from {z: 3, l: 5, f: 4}.
4/33
Four letters picked without replacement from {y: 3, n: 2}. Give prob of picking 2 n and 2 y.
3/5
Three letters picked without replacement from {g: 5, w: 7}. Give prob of picking 3 w.
7/44
What is prob of picking 1 v and 3 y when four letters picked without replacement from yvyyyyyv?
4/7
Calculate prob of picking 1 l and 2 p when three letters picked without replacement from zppllslppszllpxs.
5/56
Three letters picked without replacement from dgdsngvqnnsg. Give prob of picking 1 s, 1 n, and 1 q.
3/110
Three letters picked without replacement from {c: 5, s: 4, q: 1, d: 4, p: 2}. What is prob of picking 1 c, 1 s, and 1 q?
1/28
Calculate prob of picking 2 d when two letters picked without replacement from aaaadafdajfaa.
1/78
Two letters picked without replacement from {a: 4, j: 2, f: 1, u: 2, b: 7}. Give prob of picking 1 b and 1 u.
7/60
Two letters picked without replacement from {a: 11, c: 9}. What is prob of picking 1 c and 1 a?
99/190
What is prob of picking 1 m, 2 l, and 1 f when four letters picked without replacement from {l: 2, r: 1, f: 1, m: 2, v: 1, g: 1}?
1/35
Calculate prob of picking 1 m and 1 o when two letters picked without replacement from riiiimjjoijjij.
1/91
What is prob of picking 1 i and 2 k when three letters picked without replacement from kkimiimikikki?
30/143
Four letters picked without replacement from {y: 2, p: 6, f: 1, t: 1, s: 3}. Give prob of picking 1 y and 3 p.
8/143
Calculate prob of picking 1 c and 1 d when two letters picked without replacement from {y: 5, c: 2, v: 3, h: 5, d: 1}.
1/60
What is prob of picking 2 a and 2 h when four letters picked without replacement from {d: 2, a: 3, h: 3}?
9/70
What is prob of picking 3 i when three letters picked without replacement from {i: 6, x: 5, d: 3, y: 2, w: 1}?
1/34
Calculate prob of picking 2 g when two letters picked without replacement from gjgjjjggjggj.
5/22
Two letters picked without replacement from nnxog. Give prob of picking 1 g and 1 o.
1/10
Calculate prob of picking 3 g and 1 i when four letters picked without replacement from iaargaiiggiii.
6/715
Three letters picked without replacement from {k: | {
"pile_set_name": "DM Mathematics"
} |
ive.
z**(1223/198)
Simplify (t/((t*t*t**19)/t*t))/t**(-12) assuming t is positive.
t**(-8)
Simplify (g**(6/11))**42 assuming g is positive.
g**(252/11)
Simplify t**(-3)/t*t/t**(4/11)*(t/t**(4/9)*t)/t**(5/4) assuming t is positive.
t**(-1211/396)
Simplify r/((r*r**(5/8))/r)*r/r**(-5) assuming r is positive.
r**(51/8)
Simplify (z**(-1)*z)**(3/13)/(z*z*z**(1/2)/z*z)**22 assuming z is positive.
z**(-55)
Simplify (p*p*p**(-1))**(2/15)*((p/p**0)/p)**(-4/31) assuming p is positive.
p**(2/15)
Simplify (c/((c/c**(-1/21))/c))/c*c*c/c**(1/6) assuming c is positive.
c**(25/14)
Simplify ((z*z**(-2/5)*z)/z)/(z/(z*z**(-3/5)))*(z*z**(1/6))/(z*z/(z/z**(-1/4))*z*z) assuming z is positive.
z**(-19/12)
Simplify (a*a*(a*a*((a**(-5)/a)/a)/a*a*a)/a*a**(-1/3))**(-19) assuming a is positive.
a**(190/3)
Simplify (k/k**(1/9)*k/(k**5/k*k*k))/(k/(k**(-1/2)/k)*k)**(-6/13) assuming k is positive.
k**(-292/117)
Simplify l*l/l**(-1/4)*l*l**(2/3) assuming l is positive.
l**(47/12)
Simplify (m/((m**(-17)/m)/m))/(m**(11/5)/m) assuming m is positive.
m**(94/5)
Simplify (h**(-10)*h/h**(-7/3)*h)/(h/(h/h**(-2/3)))**(-2) assuming h is positive.
h**(-7)
Simplify w**(-2/3)/w**(-3/2)*w**(-5/2)*w*w*w**7*w assuming w is positive.
w**(25/3)
Simplify (b/(b/b**(2/23)))**(-15) assuming b is positive.
b**(-30/23)
Simplify y/(y*y*y**(2/59)/y)*y*(y**(-12/5)/y*y)/y*y assuming y is positive.
y**(-423/295)
Simplify (b*b/((b/(b/b**1))/b))/b*b*b**0/b*(b**0*b)**(-34) assuming b is positive.
b**(-33)
Simplify o/(o/o**(-1))*o*o*o*o**22 assuming o is positive.
o**24
Simplify (o*o/(o*o/((o**(-2/7)*o)/o))*o*o)**(-3/37)*o**(-2)*o*o**(1/7)*o assuming o is positive.
o**(1/259)
Simplify (p/p**(-2/3))/(p/(p*p**(-3/4)/p))*(p/(p*p*(p**(-3)/p)/p*p))**(23/4) assuming p is positive.
p**(103/6)
Simplify (f**0)**(-1/12)/(f/f**(2/7))**(-1) assuming f is positive.
f**(5/7)
Simplify (g*g**(-5/19)*g)**(-4/7) assuming g is positive.
g**(-132/133)
Simplify (t**(-4)/(t**4*t))/(t**(-1/3))**(-31) assuming t is positive.
t**(-58/3)
Simplify (u**(-1)/u*u)**(1/31)*(u**(-1/2))**(-12/7) assuming u is positive.
u**(179/217)
Simplify m**(-3/4)/((m*m**(-2)/m)/m)*m/(m/m**(2/5))*m**(-5) assuming m is positive.
m**(-47/20)
Simplify k**(-1)/k**(2/67) assuming k is positive.
k**(-69/67)
Simplify (c*c/(c**(-1/23)*c))**21 assuming c is positive.
c**(504/23)
Simplify (k/k**(-1))**(-12/5)*(((k**(1/8)*k)/k)/k)/(k*k**(-1)) assuming k is positive.
k**(-227/40)
Simplify i**(-3/13)*i*i**(-7/3)*i assuming i is positive.
i**(-22/39)
Simplify (p**(2/33)*p*p*p*p)**(-1/54) assuming p is positive.
p**(-67/891)
Simplify ((o/o**(4/9))/o)/(o**5/o) assuming o is positive.
o**(-40/9)
Simplify w**(-10)*w**(-1)/w assuming w is positive.
w**(-12)
Simplify (t/((t/((t/(t/(t/(t**(10/7)/t))))/t))/t))/t**18 assuming t is positive.
t**(-122/7)
Simplify (s/(s*s*s/(s*s*(s*s**17)/s*s*s)))/s*s/s**5 assuming s is positive.
s**14
Simplify (t/(((t/(t/(t/(t/t**(-3))*t)*t))/t)/t*t*t))/(t/(t**(-5)*t))*(t**(2/7)*t)**(1/24) assuming t is positive.
t**(-53/56)
Simplify i**(2/7)*i*i*i**(-10) assuming i is positive.
i**(-54/7)
Simplify x*x/(x/x**16)*x**(4/7)*x*x assuming x is positive.
x**(137/7)
Simplify (((q*q**15)/q)/q)/q*q**(-2/61) assuming q is positive.
q**(791/61)
Simplify ((c**1)**(-31))**(2/9) assuming c is positive.
c**(-62/9)
Simplify (j*j/((j**(2/15)*j)/j*j))**(-2/77) assuming j is positive.
j**(-26/1155)
Simplify (z/z**(-1/2))**28 assuming z is positive.
z**42
Simplify v**(-3)*v*v**5*((v*v**6/v)/v*v)/(v/(v/(v/(v**(-1)/v)))) assuming v is positive.
v**6
Simplify ((v*v*((v**(2/15)/v)/v)/v)/v)/v*v*v*v**(-23)*v assuming v is positive.
v**(-343/15)
Simplify (j**4*j**0)**(-41) assuming j is positive.
j**(-164)
Simplify (n/(n*n*n**3))**(-23/5)*n**1*n*n**11 assuming n is positive.
n**(157/5)
Simplify h**10*(h*h**(-14))/h assuming h is positive.
h**(-4)
Simplify (((g/(g*(((g*g*(g*g**(-10/11))/g*g)/g)/g)/g))/g)/g)/(g*((g**(-1/11)/g)/g)/g) assuming g is positive.
g
Simplify ((y/(y*y/(y/(y**(-14)*y))))/(((y*y**(-2/9))/y)/y))**34 assuming y is positive.
y**(4352/9)
Simplify ((p**(1/4)*p)/p**(-2/3))**(3/4) assuming p is positive.
p**(23/16)
Simplify ((((z**(-1/4)*z)/z)/z)/z*z*z**(2/23)*z)**(10/3) assuming z is positive.
z**(-25/46)
Simplify ((b**(-3/2))**(-1/7))**(-18/7) assuming b is positive.
b**(-27/49)
Simplify ((r*r*r/(r/r**(-8)))/((r*r**2)/r*r))**(-20) assuming r is positive.
r**180
Simplify (n/(n*n**(-4)/n)*n**(-1))/(n*(n**(-2/9)*n)/n*n*n/(n/(n/n**2))*n) assuming n is positive.
n**(20/9)
Simplify (p/(p*p/(p/p**(3/7)))*p*p/(p/(p/(p/(p*p*p**2))))*p)/(p/(p**(2/5)*p)*p**(-1/7)/p) assuming p is positive.
p**(249/35)
Simplify (x**(-1)*x**2)**(-33) assuming x is positive.
x**(-33)
Simplify (f/(f**(-6)/f*f)*f*f**(-14/5))**(-12) assuming f is positive.
f**(-312/5)
Simplify n**(-2/3)/n**24 assuming n is positive.
n**(-74/3)
Simplify (c*c**(-25)/c*c)/(c/(c*c**26*c)) assuming c is positive.
c**3
Simplify (l*l**(-34))/l**(-8) assuming l is positive.
l**(-25)
Simplify (v**(-10)/v**13)**(-2/21) assuming v is positive.
v**(46/21)
Simplify v**(-11)*v**(-13)/v assuming v is positive.
v**(-25)
Simplify (l**(-2/79))**(-18) assuming l is positive.
l**(36/79)
Simplify (r**5/r**(-1/4))/(r*r*r**1/r*r*r**(1/3)) assuming r is positive.
r**(23/12)
Simplify (o**4)**(1/12) assuming o is positive.
o**(1/3)
Simplify (w/(w/(w**2/w*w)))/w**(5/2) assuming w is positive.
1/sqrt(w)
Simplify p/p**(1/8)*p*p**14 assuming p is positive.
p**(127/8)
Simplify (t**3)**(-14) assuming t is positive.
t**(-42)
Simplify (n/(n**(6/7)/n)*n)/(n/n**4)*(n*((n/(n*n**(-2)))/n)/n*n)**(-41) assuming n is positive.
n**(-538/7)
Simplify (g/g**(-2/51))/g*g**27 assuming g is positive.
g**(1379/51)
Simplify (a/a**(-7)*a*a**(-2/7))**(2/3) assuming a is positive.
a**(122/21)
Simplify t*t/t**19*t*t/((t/(t*t*t*t**48*t*t*t))/t)*t assuming t is positive.
t**40
Simplify (v**5*v**3*v)/(v*v**(2/11)*v**(1/5)) assuming v is positive.
v**(419/55)
Simplify (q**(-2/21)/q)/q**(-6/5)*q*q**(-1/8)*q*q**(-2) assuming q is positive.
q**(-17/840)
Simplify u**8/(u*u**(-4/5))*(u**(-1/4)*u)/(u/u**4) assuming u is positive.
u**(231/20)
Simplify (o**(1/3))**(4/3) assuming o is positive.
o**(4/9)
Simplify (v*v*v**(-2/3)/v*v*v)**(-29/3)/(v**1/(v/v**(-6))) assuming v is positive.
v**(-149/9)
Simplify (o**(7/5)*o)/o*((o**36/o)/o*o)/o assuming o is positive.
o**(177/5)
Simplify o/(o*o**(-38))*o**(-4/3)*o assuming o is positive.
o**(113/3)
Simplify (b**(-8)/b)**33 assuming b is positive.
b**(-297)
Simplify (o/((o**(2/77)*o)/o))/(o/o**(2/35)) assuming o is positive.
o**(12/385)
Simplify (t**(-20))**(7/4) assuming t is positive.
t**(-35)
Simplify (w**(1/70)/w)/(w*w**(-32)) assuming w is positive.
w**(2101/70)
Simplify (t/((t*t*t**(-7)/t)/t))/t**(-2/3)*(t**(-2/17)/t)/t**(-4) assuming t is positive.
t**(589/51)
Simplify (h**(-1)*h*h*h)**(-41)/(h**(3/8)/(h*h**(-5/4))) assuming h is positive.
h**(-661/8)
Simplify l**(14/9)/(l/(l*(l/(l*l**(4/17)*l))/l*l)) assuming l is positive.
l**(49/153)
Simplify (a/((a**26/a*a)/a)*a)**(-49) assuming a is positive.
a**1127
Simplify ((f*f/(f/((f*f/((((((((f**(1/3)*f)/f)/f*f)/f)/f)/f)/f)/f)*f)/f)))**(2/89))**(-2/57) assuming f is positive.
f**(-92/15219)
Simplify (z*z/z**(2/77))**(-50) assuming z is positive.
z**(-7600/77)
Simplify ((t**(1/4))**(-20))**(-2/13) assuming t is positive.
t**(10/13)
Simplify (n**(-8))**(-15) assuming n is positive.
n**120
Simplify v**(-3/7)*v/(v*v/(v/(v**(-6/29)*v))) assuming v is positive.
v**(-248/203)
Simplify (i/i**1)**(38/5)*i*i*i*i/(i/(i*i**(-3/5)/i))*i/(i/(i*i**6)) assuming i is positive.
i**(47/5)
Simplify (b*b**(2/33))/b*(b*b/(b*b*b/b**(-2/25)*b))/b assuming b is positive.
b**(-2491/825)
Simplify (d**1/((d/(d**(4/3)*d*d))/d))**(-14) assuming d is positive.
d**(-182/3)
Simplify (t**(-2/11)*t)**(-3/19) assuming t is positive.
t**(-27/209)
Simplify p**6*p*p/(p/p**(-9))*(p/(p/p**(-3/5)))/p*(p**3*p*p)/p assuming p is positive.
p**(2/5)
Simplify (t**(-1/2))**33/(t**(-3)/t*t**4) assuming t is positive.
t**(-33/2)
Simplify (t/t**(-1/3))/t**(16/5) assuming t is positive.
t**(-28/15)
Simplify (t**(-1))**(-1/52)*t/(t*(t/t**(1/4))/t)*t**0 assuming t is positive.
t**(7/26)
Simplify (i**(-6/11)/(i**(12/5)/i*i))**(-26) assuming i is positive.
i**(4212/55)
Simplify (m*m/m**(2/27)*m**(-1/12))**(7/4) assuming m is pos | {
"pile_set_name": "DM Mathematics"
} |
7350042*m/11 - 249617130348/11 = 0.
-6, 1, 144227/24
Solve 2*i**5/7 - 22548*i**4/7 + 84937696*i**3/7 - 15380752372*i**2 + 2860220813502*i/7 - 18547653959648/7 = 0 for i.
11, 16, 3749
Suppose -3*u**5 + 921*u**4 - 9819*u**3 + 14775*u**2 + 95646*u - 186480 = 0. What is u?
-3, 2, 5, 7, 296
Solve -o**5/9 - 29*o**4/9 + 4102*o**3/9 + 6008*o**2/9 - 285664*o + 284544 = 0.
-76, -26, 1, 36
Suppose 3*n**5 + 917841*n**4 + 70204051854*n**3 + 210605730720*n**2 + 140402596704*n = 0. Calculate n.
-152972, -2, -1, 0
Suppose -d**2/9 + 419*d - 1674098/9 = 0. Calculate d.
514, 3257
Factor -5*f**3 + 1475*f**2 + 477750*f.
-5*f*(f - 490)*(f + 195)
Determine i so that -i**4/5 + 4086*i**3/5 - 245463*i**2/5 - 49910*i = 0.
-1, 0, 62, 4025
Let -9*j**3 + 76944*j**2 - 102579*j + 25644 = 0. What is j?
1/3, 1, 8548
Determine b, given that 2*b**4 - 933776*b**3 + 411535908*b**2 - 60483072384*b + 2963359247562 = 0.
147, 466447
Factor -i**2/5 - 10016554*i/5 - 25082838508729/5.
-(i + 5008277)**2/5
Determine k so that 5*k**2 - 8005*k - 2633400 = 0.
-280, 1881
Suppose -3*y**2 + 460097952*y - 17640843786216192 = 0. What is y?
76682992
Factor 2*a**3 - 8464752*a**2 + 16929498*a - 8464748.
2*(a - 4232374)*(a - 1)**2
Factor 5*p**2 + 23420860*p + 27426834156980.
5*(p + 2342086)**2
Determine f so that f**2/4 + 23811*f/4 - 692201/2 = 0.
-23869, 58
Suppose -4*p**4 - 9020*p**3 - 1937592*p**2 + 7858736*p - 7894880 = 0. What is p?
-2014, -245, 2
Solve 5*j**5 - 46460285*j**4 + 107927927344195*j**3 - 107927834423635*j**2 - 107927927344200*j + 107927880883920 = 0 for j.
-1, 1, 4646028
Factor -491*y**3 + 14096*y**2 - 71319*y + 100350.
-(y - 3)**2*(491*y - 11150)
What is l in -14*l**4/9 - 37500368*l**3/9 - 2790232738358*l**2 + 797209693956*l = 0?
-1339299, 0, 2/7
Factor -2*v**2/3 - 602*v - 190564/3.
-2*(v + 122)*(v + 781)/3
Let 2*u**5/9 + 74*u**4/3 + 2462*u**3/3 + 69554*u**2/9 + 13092*u + 6160 = 0. What is u?
-55, -42, -12, -1
Factor a**2/7 + 94691*a/7 - 36126980/7.
(a - 380)*(a + 95071)/7
Factor -r**3 + 44820*r**2 - 1119875*r.
-r*(r - 44795)*(r - 25)
What is p in 3*p**4 - 45078*p**3 - 496629*p**2 + 6136008*p - 13713744 = 0?
-19, 4, 15037
Factor 3*f**2 + 4035*f + 63792.
3*(f + 16)*(f + 1329)
Let -32234*u**4 + 257876*u**3 - 225670*u**2 + 28*u = 0. Calculate u.
0, 2/16117, 1, 7
Factor -u**2/3 + 64558*u - 16068053/3.
-(u - 193591)*(u - 83)/3
Solve -5*l**5/2 - 18595*l**4/2 + 111880*l**3 - 186550*l**2 = 0 for l.
-3731, 0, 2, 10
Solve -d**5/5 + 16663*d**4/5 + 953229*d**3/5 - 631907*d**2 - 1822420*d - 1003200 = 0 for d.
-60, -1, 5, 16720
Determine l so that -2*l**2/11 + 302*l/11 + 281212/11 = 0.
-307, 458
Suppose -4*x**2/5 - 44477572*x/5 - 26686536 = 0. Calculate x.
-11119390, -3
Let 2*q**3 - 27004*q**2 + 24300050*q - 5664090000 = 0. What is q?
475, 12552
Determine p so that 10*p**4/17 - 29038*p**3/17 + 1244946*p**2 - 121742082*p/17 - 25195212/17 = 0.
-1/5, 6, 1449
Let 5*c**5 + 1768*c**4 + 27817*c**3 - 52390*c**2 - 165588*c + 72792 = 0. What is c?
-337, -18, -2, 2/5, 3
Solve -5*j**2 - 8211225*j + 24633720 = 0.
-1642248, 3
Suppose -a**5/6 + 2162*a**4/3 + 726245*a**3 - 4363954*a**2/3 + 4366115*a/6 = 0. Calculate a.
-845, 0, 1, 5167
What is r in -4*r**4/3 + 1348026*r**3 + 2022040*r**2/3 = 0?
-1/2, 0, 1011020
What is i in 3*i**3 + 3068211*i**2 + 784525443600*i + 16473681262332 = 0?
-511358, -21
Factor 2*z**3 - 35091302*z**2 + 140365184*z - 140365176.
2*(z - 17545647)*(z - 2)**2
Let -2*f**2/9 + 332600*f/9 - 6095650/3 = 0. Calculate f.
55, 166245
Determine n so that n**2/9 + 26382023*n/9 - 2931336 = 0.
-26382024, 1
Factor -h**2/6 + 11868741*h/2 + 35606225/3.
-(h - 35606225)*(h + 2)/6
Factor -h**3 + 1002*h**2 - 7943*h - 8946.
-(h - 994)*(h - 9)*(h + 1)
Let 3*b**3/5 - 333*b**2/5 + 4488*b/5 + 69552/5 = 0. Calculate b.
-9, 28, 92
Solve -2*o**2/7 - 19167196*o/7 - 45922675312802/7 = 0 for o.
-4791799
Suppose 98*g**3 + 3541608*g**2 + 80912640*g + 462284800 = 0. Calculate g.
-36116, -80/7
Factor -o**3 + 12235*o**2 - 585191*o + 2620205.
-(o - 12187)*(o - 43)*(o - 5)
Suppose 5*w**2 - 543950*w + 150831680 = 0. What is w?
278, 108512
Factor -5*q**2 + 33817440*q - 57180962407680.
-5*(q - 3381744)**2
Factor 283*x**2 + 427*x + 144.
(x + 1)*(283*x + 144)
Determine m so that -m**3/5 - 107*m**2/5 + 2817*m/5 - 2709/5 = 0.
-129, 1, 21
Determine r, given that 5*r**4 - 241220*r**3 - 2895120*r**2 - 11581120*r - 15441920 = 0.
-4, 48256
Factor s**2/5 - 6422988*s/5 - 2569196.
(s - 6422990)*(s + 2)/5
Solve 2*a**2/3 - 10312*a/3 - 38867598 = 0 for a.
-5481, 10637
What is w in 76*w**2 - 6504*w - 6580 = 0?
-1, 1645/19
Suppose 18*c**3 + 35168178*c**2 + 23445446*c + 3907574 = 0. What is c?
-1953787, -1/3
Factor 2*f**2/3 + 1702*f/3 + 352988/3.
2*(f + 358)*(f + 493)/3
Determine m, given that 3*m**5 - 438*m**4 - 6816*m**3 + 15360*m**2 = 0.
-16, 0, 2, 160
Determine l so that 2*l**5/9 + 274*l**4/9 + 1720*l**3/3 - 213160*l**2/9 - 1151552*l/9 - 311168/3 = 0.
-102, -52, -4, -1, 22
Solve 12*q**4/7 + 441*q**3 - 88965*q**2/7 - 61422*q - 101880/7 = 0.
-283, -4, -1/4, 30
Find q such that -783363*q**2 + 208077156*q - 13817381868 = 0.
67866/511
Suppose -q**5 + 2797*q**4 + 67660*q**3 + 124124*q**2 = 0. Calculate q.
-22, -2, 0, 2821
Suppose r**5/3 - 1315*r**4/3 + 106179*r**3 + 79882711*r**2/3 - 488057998*r/3 + 218019288 = 0. Calculate r.
-153, 2, 4, 731
What is q in -q**2/4 + 4517*q/4 + 3802419/2 = 0?
-1306, 5823
Let 3*s**2/5 + 353356122*s/5 + 10405045746239907/5 = 0. What is s?
-58892687
Factor d**3 + 2704*d**2 + 1828655*d + 1825952.
(d + 1)*(d + 1327)*(d + 1376)
Factor -4*r**2/5 + 17576*r/5 + 5393664/5.
-4*(r - 4682)*(r + 288)/5
Determine t, given that 5*t**4 - 595*t**3 - 1061100*t**2 = 0.
-405, 0, 524
Find g, given that -g**5/3 + 479*g**4/3 - 24134*g**3 + 2821612*g**2/3 + 91075480*g/3 + 183767200 = 0.
-12, -10, 145, 178
Suppose d**5/5 - 174*d**4/5 - 724*d**3/5 + 2136*d**2/5 = 0. What is d?
-6, 0, 2, 178
Factor -s**2/8 + 144457*s/8 + 144459/4.
-(s - 144459)*(s + 2)/8
Solve -2880*z**4 - 2717520*z**3 - 15075965*z**2 + 6635600*z - 703500 = 0.
-938, -6, 5/24
Factor 4*q**3 - 6416*q**2 + 1663996*q - 1657584.
4*(q - 1279)*(q - 324)*(q - 1)
Suppose -4*y**3/7 - 3947716*y**2/7 - 973991346656*y/7 + 18507260739376/7 = 0. Calculate y.
-493474, 19
Factor 3*i**3 - 16104*i**2 - 420813*i + 436914.
3*(i - 5394)*(i - 1)*(i + 27)
Suppose x**3 + 77*x**2 - 3803904*x - 2955460608 = 0. What is x?
-1152, 2227
Let -w**3 + 202960049*w**2 - 10298195271040575*w - 10298195474000625 = 0. Calculate w.
-1, 101480025
Find f, given that -4*f**3 - 1728*f**2 + 247216*f - 960960 = 0.
-546, 4, 110
Solve -2*u**5 - 202*u**4 + 232860*u**3 + 234044*u**2 - 1165850*u + 699150 = 0 for u.
-395, -3, 1, 295
Suppose -9*u**5 + 348721*u**4 - 3377391881*u**3 - 10886095625*u**2 - 2252343750*u = 0. Calculate u.
-3, -2/9, 0, 19375
Factor h**3/5 - 92408254*h**2 + 10674106759160645*h.
h*(h - 231020635)**2/5
Solve -h**4 - 489726*h**3 + 2448655*h**2 = 0 for h.
-489731, 0, 5
Let -a**4/5 - 1236*a**3 + 1038292*a**2/5 - 13471056*a/5 + 4567680 = 0. What is a?
-6344, 2, 12, 150
Determine a, given that -5*a**2 - 670*a + 1718055 = 0.
-657, 523
Factor -25*p**3 + 33978590*p**2 - 11545438988160*p - 4618181031840.
-5*(p - 679572)**2*(5*p + 2)
Factor 2*m**3 + 82670*m**2 + 495934*m - 578606.
2*(m - 1)*(m + 7)*(m + 41329)
Factor -724*a**2/5 + 5492*a/5 + 9216/5.
-4*(a - 9)*(181*a + 256)/5
Suppose 5769*r**3 - 63444*r**2 + 57525*r + 150 = 0. What is r?
-5/1923, 1, 10
What is r in -r**2/5 + 2514266*r/5 - 1580383379689/5 = 0?
1257133
Find r, given that 52*r**2/9 - 924*r + 6120 = 0.
90/13, 153
Let -18*o**4/11 - 6739402*o**3/11 + 65897686*o**2/11 - 153512710*o/11 - 37442100/11 = 0. What is o?
-374421, -2/9, 5
Let 4*l**4 - 39744*l**3 - 1434252*l**2 - 17105192*l - 67410720 = 0. What is l?
-13, -10, 9972
Let 2*c**2 + 167722660*c + 3516361334684450 = 0. Calculate c.
-41930665
Factor g**5 - 11077*g**4 + 88570*g**3 - 199258*g**2 + 177109*g - 55345.
(g - 11069)*(g - 5)*(g - 1)**3
Suppose -r**3/4 + 1101*r**2/2 + 105657*r/4 + 51727/2 = 0. Calculate r.
-46, -1, 2249
What is z in -z**3/6 - 4394195*z**2/6 + 43942175*z/2 - 329566875/2 = 0?
-4394225, 15
Determine b, given that 2*b**2 + 26044*b - 26069808 = 0.
-13956, 934
Find z, given that -2*z**3/15 + 468*z**2/5 + 762518*z/15 - 50928 = 0.
-360, 1, 1061
Factor 3*a**4/8 - 240675*a**3/4 + 360999*a**2 | {
"pile_set_name": "DM Mathematics"
} |
4/5, 149, -0.3?
4/5
Which is the nearest to -32? (a) 14 (b) 0.12 (c) 2/3 (d) 1
b
Which is the nearest to -23? (a) -2/21 (b) 5 (c) -0.4 (d) -70 (e) -26
e
Which is the closest to -0.37? (a) -0.4 (b) -52 (c) 1 (d) 0.1 (e) -8.177
a
What is the closest to 5 in -2, 4, 2000, -0.18?
4
What is the closest to 1/4 in -1/57, 1, 3/4, -4, -1888, 1/8?
1/8
What is the nearest to 0 in -71, -6853, 5, -2/107?
-2/107
Which is the nearest to 31.41? (a) 96 (b) 2/9 (c) -5 (d) -4 (e) 3/2
e
Which is the closest to -79? (a) 2 (b) -32 (c) -38 (d) 0.1 (e) 0
c
What is the nearest to 1 in 39089, -2, 9, 0.5, 3?
0.5
Which is the nearest to 178? (a) 2 (b) 4 (c) 21/8843
b
Which is the nearest to 2? (a) -1/5 (b) -0.008 (c) -201 (d) -1/4 (e) 1 (f) 2/7
e
What is the nearest to 34 in -3, 13, 0.5, -11/2?
13
What is the nearest to -2/5 in 0.08, 0.1, 31348, -1, 0?
0
Which is the closest to 1.52? (a) 0.07 (b) 3 (c) -0.4 (d) -4/69
a
Which is the nearest to 6/7? (a) 177 (b) 0.064 (c) 64
b
Which is the nearest to 26/17? (a) 0.06 (b) -0.01 (c) 1.36
c
What is the nearest to -1 in 5, 1/62, 7, 0, -244?
0
What is the closest to -495 in -0.2, 5, 3.782?
-0.2
Which is the nearest to 1? (a) -2/7 (b) -0.1 (c) 0 (d) 27 (e) -208
c
What is the closest to -1 in -35, -2/11, 0.157, 5.4, 2/7, 8?
-2/11
What is the nearest to 79 in -5, -27/1658, -0.4?
-27/1658
Which is the closest to 0.1? (a) 3 (b) -26 (c) 1/9 (d) -16/5 (e) -1.52
c
What is the nearest to 87 in 2.5, 9, 3, -2, -1/2?
9
Which is the nearest to 10? (a) 3 (b) -21/94928 (c) 2
a
What is the closest to -0.9 in -8.7, 5, -44/9, 678/7?
-44/9
Which is the closest to -1984/29? (a) 3 (b) -5/11 (c) -22
c
What is the closest to -139 in 3, 239, 3/8?
3/8
What is the closest to -7 in 2/15, -80, -5/3, 1262?
-5/3
Which is the nearest to 3? (a) 0 (b) -17 (c) -2269 (d) -2 (e) -0.4
a
What is the nearest to 2/7 in 0.02, 2/7, -2280?
2/7
Which is the nearest to -1/4? (a) 740 (b) 1/38 (c) 10 (d) -4
b
What is the closest to -25 in 2, 5, -4, 60, 2/3?
-4
Which is the nearest to -1? (a) 66 (b) 4 (c) 1 (d) 0.04
d
What is the closest to -2/9 in 0.00886, -4/7, -1, 20/3?
0.00886
What is the closest to -1/2 in 349, -0.01, 5/2, 1/10?
-0.01
Which is the closest to -120? (a) 2/7 (b) -5 (c) 4 (d) 42.71
b
What is the closest to -33.5 in 3/4, 0.026, -11, -0.1, 2/17?
-11
What is the nearest to -1 in 0, 4/13, -1/2, 7, 5, -322?
-1/2
What is the closest to 2/3 in 0.076, -10417, -5?
0.076
What is the closest to 1.6 in 100, -0.4, 0, 11, 5?
0
What is the nearest to 2/3 in -1/2, -64, -907/5, 0.4, 3?
0.4
What is the closest to -0.5 in -136340, -4, 2?
2
Which is the nearest to -0.0639? (a) -4 (b) 0.5 (c) -13 (d) 0.17
d
What is the nearest to -1/6 in 232, -111, -2?
-2
What is the closest to 0 in -0.03553, -8/15, -1/4, -2/11, -6/11?
-0.03553
Which is the nearest to -5? (a) 4/5 (b) -1/10 (c) -0.3 (d) 1 (e) 3.0642
c
What is the closest to 0.2 in -52, 50, 2, -2/9, 1/6?
1/6
What is the closest to -620 in -8, -4, -0.2, 3/13, -3/7?
-8
Which is the closest to -0.4? (a) 0 (b) 392 (c) 4.028
a
What is the closest to 603 in -4, -2/3, -1337, -0.1, 1/2, 0.2?
1/2
Which is the nearest to -1.6? (a) -6 (b) -0.3 (c) -5 (d) -5/2
d
Which is the closest to -0.0696? (a) -0.1 (b) -3/8 (c) -1400.7
a
Which is the closest to -1? (a) 149/2 (b) -1/3 (c) 10 (d) 1.12
b
Which is the closest to 1? (a) 0 (b) 2/11 (c) 249 (d) 2/9 (e) -9/106
d
Which is the closest to 2? (a) -88 (b) 2/90527 (c) -4 (d) -2/9
b
Which is the closest to 12/31? (a) -2/11 (b) 4 (c) -0.5 (d) 7 (e) -10
a
Which is the nearest to 16? (a) -0.5 (b) 2 (c) -17 (d) -8483
b
What is the closest to -1 in -2/7, -3, 677722, 2/9, -5, -1/5?
-2/7
Which is the closest to 2/7? (a) 1/34 (b) 87838 (c) -0.3 (d) -1 (e) 4 (f) -2/11
a
What is the nearest to -11 in 9, 0.6, 0.23239?
0.23239
What is the nearest to -2/7 in 2, 3/98, 0.084, -7?
3/98
What is the nearest to -6 in 0.0242, 0.3, 0.165, 2/3, 2/13?
0.0242
Which is the closest to 7255? (a) 4 (b) -1/4 (c) 6/11 (d) 3 (e) 5 (f) -35
e
What is the nearest to 0.0398 in -4, 1, -0.5, -195?
-0.5
What is the closest to 6 in -1/5, -12/7, 0, 7.5?
7.5
Which is the nearest to -12.4? (a) 0.4 (b) -5 (c) -230 (d) -141
b
What is the nearest to -2/13 in 3, 232, -2/3, -3/4, -2?
-2/3
Which is the closest to 0.06? (a) -2/1661 (b) -1/2 (c) 5 (d) -1 (e) -2/7
a
Which is the nearest to 3? (a) -6 (b) 4/3 (c) 78 (d) -7/289 (e) 7
b
What is the nearest to 3 in -2, -1/25, 39, 1/3, -477?
1/3
Which is the closest to 0? (a) 2 (b) -3 (c) -1/9 (d) 6 (e) 1.8 (f) 0.013
f
Which is the nearest to 0.2? (a) -527/8 (b) 1 (c) -19 (d) -2 (e) 0
e
Which is the closest to -1? (a) 4 (b) 1656 (c) -0.4 (d) -4 (e) 3
c
Which is the closest to -3? (a) 0.16 (b) -0.0218 (c) -22 (d) 2
b
Which is the nearest to -0.3? (a) 3 (b) 1313 (c) 0.6 (d) -4/11
d
What is the nearest to -2034/5 in 179, -5, 108?
-5
What is the nearest to 17 in 0.1, 220.8, -1/4?
0.1
What is the closest to 0 in -3760, 2, -5, 79, -3/5?
-3/5
What is the closest to -0.2 in 0.119, -7/181, -1/2, -0.1, 0, -5?
-0.1
What is the nearest to -2/11 in 0.3, 0.585, 16, -22?
0.3
What is the nearest to 20.7 in -0.4, 5/4, 166/5?
166/5
What is the nearest to -823 in 0.3, 2/3, 1/10, 4?
1/10
Which is the nearest to 8/5? (a) -3 (b) 2 (c) -62655
b
Which is the nearest to -1/2? (a) 0.05696 (b) -67.61 (c) -3
a
Which is the nearest to 1? (a) 2515 (b) -39/4 (c) -0.3
c
What is the closest to 0.003 in -1/3, -2/171, -22193?
-2/171
Which is the closest to -1/5? (a) -273382 (b) 0.4 (c) 1 (d) -6
b
What is the nearest to -1 in 0, 154, -18/37, 1.26?
-18/37
Which is the closest to 0? (a) -5/6 (b) 2/9 (c) -75 (d) 20 (e) 3
b
Which is the closest to 2? (a) -1.7 (b) 1305 (c) 0.4 (d) 5/8
d
Which is the nearest to -1/4867? (a) 1/4 (b) -4 (c) 5 (d) 0.069 (e) -1/2
d
Which is the closest to 0.2? (a) 0.1827 (b) -15/4 (c) -0.05
a
What is the closest to -0.1 in 480.62, -4, -3/22, 2/3, -3/4?
-3/22
Which is the nearest to -10427? (a) 5/3 (b) 0.02 (c) -8
c
What is the nearest to -1/44 in 2520, -2, 2?
-2
What is the closest to -6 in -5, 8/359, 3/38, -0.07?
-5
Which is the nearest to -64/5? (a) -1079 (b) 1/3 (c) -3 (d) 0.194 (e) -3/5 (f) 1/4
c
Which is the closest to -4/13? (a) 2 (b) -5/2 (c) -0.3 (d) 0.025 (e) -0.08 (f) -7
c
What is the nearest to -0.353 in 2/45, 1, 2, -3/2, -5?
2/45
What is the closest to -2/3 in 2/17, 2.905, -150?
2/17
What is the nearest to -36102 in 0.13, -7, 0, 3/8?
-7
Which is the nearest to 1232.6? (a) -4 (b) 1.3 (c) -38
b
What is the nearest to 14758 in 2/45, 0.8, -0.5, -1/5?
0.8
What is the closest to 243565 in -1/4, -3, -397?
-1/4
Which is the closest to 2/6275? (a) -0.5 (b) -0.1 (c) 4/5 (d) -20
b
Which is the nearest to 2? (a) 2/3 (b) -82/9 (c) 5 (d) -5 (e) -0.05 (f) 1/2
a
What is the nearest to 1/20 in -0.2, -0.5, 0.1, -77357?
0.1
Which is the closest to 1/26? (a) 0.64 (b) 9 (c) -1/3 (d) 1/8 (e) -11
d
Which is the closest to 2? (a) 2/59 (b) -512 (c) -2/5 (d) 4
a
Which is the closest to 3? (a) 5 (b) -549 (c) 2 (d) 5/6 (e) 2/13
c
Which is the nearest to 449? (a) -1/6 (b) 0 (c) 4 (d) -0.5 (e) -3.1
c
Which is the closest to 5/4? (a) 8 (b) -7 (c) -3.24 (d) -2/9 (e) -16 (f) 6
d
What is the nearest to -6 in 12, 4, 0.5, 1159.3?
0.5
What is the nearest to -2 in -2/9, 0.4, -2/3, -0.59, 100?
-2/3
What is the nearest to 34 in 0.1, 3, -71.885?
3
What is the nearest to -2/5 in 919534, 1/5, 0.06, 1?
0.06
What is the nearest to -6 in 1, 24, -6516, -2/5?
-2/5
What is the closest to 4/41 in 844, 0.3, 0.07, 0?
0.07
What is the nearest to -3 in 0, 0.07, -0.4, -2, 0.035?
-2
Which is the nearest to -1/2? (a) -0.23 (b) 5.6 (c) 2 (d) 5 (e) -8.5
a
Which is the closest to -3? (a) -1/7 (b) 29/6 (c) 35 (d) 13 (e) 0.04
a
What is the nearest to 17 in -55, -5, 6, -11/5, 2/3?
6
What is the closest to 2/5 in 0.2, -0.1142, 0.13, -13, -2?
0.2
Which is the closest to 7? (a) -0.03 (b) -3 (c) 3 (d) 3/8 (e) -164
c
What is the closest to 5 in 1/70, -900, 4?
4
Which is the closest to 1? (a) 6542 (b) -5 (c) -0.0231 (d) -2/3
c
Which is the nearest to -7? (a) 7/3 (b) -5 (c) -0.01553 (d) -2/3
b
What is the | {
"pile_set_name": "DM Mathematics"
} |
ppose -704 = -b*u + m. Is u composite?
False
Let a be (-3)/9 - (0 - 14390/6). Let n = -605 + a. Is n composite?
True
Suppose -3*a + 20 = 5*h, 8*a = -h + 10*a + 4. Suppose h*t - 152983 = -13*t. Is t prime?
True
Suppose 4*v - 4*s = 0, 4*s = -27*v + 24*v - 14. Is -5 + 11672/2 - v composite?
True
Let r(c) = -c - 5. Let n be r(-5). Let v(d) = -3*d. Let w be v(-1). Suppose 0 = -4*u - w*m + 1094 + 887, n = u + 5*m - 508. Is u prime?
False
Let f be 52*(83/4 - 1). Suppose 3*s + 835 = -1223. Let r = s + f. Is r a prime number?
False
Suppose 327*i = -164*i + 283661011. Is i a composite number?
False
Suppose -591*j + 594*j - 694587 = 0. Is j composite?
False
Suppose -44*t = -40*t - 124. Suppose 34*i - 12360 = t*i. Suppose -c + i = 4*h, -h - 3*c - 405 + 1424 = 0. Is h prime?
True
Let i = -6185 - -15286. Is i composite?
True
Let x(y) = 1586*y**2 + 6*y - 1. Let j be x(1). Suppose 4*t + 203 = j. Is t composite?
False
Suppose 0 = 4*a - 2 - 18. Let r be a/(-20) + -63863*3/12. Is r/(-18)*(1 + 0) prime?
True
Let u(n) = 17*n + 580. Let t be u(-34). Suppose f = 4*f - 18. Suppose b + t*m - 247 = 0, m = f*b - 3*b - 755. Is b a prime number?
True
Let g(l) = l**2 + 16*l - 21. Let h be g(-17). Let z be 212*2 + (h - -5). Suppose -a + 5*q + z = -841, 0 = 5*a - 4*q - 6309. Is a a prime number?
False
Let a = -404880 - -673069. Is a a prime number?
True
Suppose 0 = -2*l - f + 90913, -3*f + 94071 = 3*l - 42303. Is l a prime number?
False
Suppose 0 = -4*w + 4*o + 12, 12*w - 8*w - o - 9 = 0. Let l be (-10557)/(-12) - 2/(-8). Suppose -w*x + 3786 = -l. Is x composite?
False
Suppose -8*d = 2*d + 1150. Let i(y) = 2*y**3 - 6*y**2 - 3*y + 14. Let l be i(6). Let c = l + d. Is c a prime number?
True
Let t be (375/50)/((-6)/(-39632)) + 1. Let x = t - 33868. Is x a prime number?
False
Let i = 22 + -11. Suppose -s = -i*s + 90. Suppose s*c = 13*c - 332. Is c composite?
False
Let d(x) = -x**3 + 70*x**2 + 148*x - 17. Is d(52) a composite number?
True
Is (-69 + 23752736/95)*(1 + 4)*1 prime?
True
Let r(m) = 7692*m - 1099. Is r(6) a prime number?
True
Let q(j) = 395874*j**2 + 3*j - 5. Is q(2) a prime number?
True
Let o = 4603 + -1440. Suppose 2*r - o = r. Is r a composite number?
False
Let u be (107/(-4))/(((-19)/36)/19). Let d = u - 124. Is d composite?
False
Suppose 2*a - 7*a = -o + 28, -a + 4 = 3*o. Suppose 0 = 25*r + 17*r - 2761 - 16475. Suppose -o*p + r = -2*p. Is p a prime number?
False
Let r(q) = -28*q**3 - 34 + 131*q**3 + 20*q + 4*q**2 - 66*q**3 + 4*q. Is r(9) composite?
False
Let a(l) = 4*l**2 + 21*l + 15. Let o(g) = -3*g**2 - 20*g - 14. Let p(y) = -2*a(y) - 3*o(y). Let r be p(-7). Let v = -16 - r. Is v prime?
False
Let n = 95 - 5. Suppose -2*o + 227 = -3*o. Let h = n - o. Is h prime?
True
Suppose -3*w + 12 = 36. Let t = -171 + 380. Is 2*t - (13 + w) a prime number?
False
Let f be (4 + (-44)/12)/((-1)/(-33)). Suppose f*r - 24068 = 7*r. Is r prime?
False
Suppose r + 325346 + 70795 = 5*j, 2*r = -3*j + 237695. Is j a prime number?
True
Let m(p) = -p**2 + 2*p - 1. Let n(w) = 84*w**2 - 8*w - 33. Let g(u) = 4*m(u) + n(u). Is g(10) a prime number?
True
Suppose 0 = u - 4*c - 547 - 15564, 5*u = -c + 80555. Let n = u - 278. Is n composite?
True
Let d(m) be the third derivative of m**5/60 - 3*m**4/8 - 14*m**3/3 - 27*m**2. Let x be d(11). Is ((-4220)/x)/(32/48) a composite number?
True
Let v = -24 + 22. Let c(o) = -o**3 - 3*o**2 + 5*o + 3. Let w be c(-4). Is 2318 - w - 0 - v composite?
True
Let f = -4632 + 10552. Let g = f + -2981. Is g prime?
True
Let o be 1011*(-57)/(12/(-4)). Let a = o + -13618. Is a composite?
False
Let d(o) = 19*o**2 + 84*o - 2321. Is d(40) a prime number?
False
Let k(w) be the third derivative of -w**6/120 - 19*w**5/60 + 3*w**4/4 + 11*w**3/6 - w**2 + 26*w. Is k(-24) composite?
False
Let i = 118443 - -34816. Is i a composite number?
False
Let y = -529 + 1350. Suppose b + y = 5394. Is b a composite number?
True
Is 0 + 42669 + 126/(-21) composite?
True
Let m be (-19)/((-15)/30*(-2)/(-19)). Suppose 3*h - 380 = m. Is h prime?
False
Suppose -972925 + 82946 = -19*v. Is v prime?
False
Suppose 0 = 3*k - 2*k + 5, 5*f - 40 = 4*k. Suppose 5*a = -l + 77730, -f*a + 23*l - 20*l + 62165 = 0. Is a prime?
False
Suppose 13*g = 14*g + 2*w - 2931, -w = -5*g + 14666. Is (1 + -1)/(-2 + -3) + g a composite number?
True
Let u(l) = -1424*l - 114. Let c be u(10). Let q = 20481 + c. Is q prime?
False
Is ((-8)/(-3))/(480/6382980) prime?
True
Let r(g) = 368*g - 47. Let j = -248 + 251. Is r(j) composite?
True
Suppose -3*c - 5*g + 44568 = 0, 5*c + 5*g = 94599 - 20329. Is c composite?
False
Let v(x) = 28*x**2 + 291*x + 622. Is v(-83) prime?
True
Suppose -18*u - 6 = -21*u. Is u*3 + 2109/3 a prime number?
True
Let i = 21 + -5. Let h = 19 - i. Suppose 3*m - h*b - 259 = 5, 2*b + 90 = m. Is m composite?
True
Let p = 3119 - 6251. Let s = 5465 + p. Is s a composite number?
False
Suppose -187*y + 669227 = -183*y - b, 2*b + 501909 = 3*y. Is y a prime number?
True
Let h(l) = 80*l**2 - 9*l - 8. Is h(-21) composite?
False
Let u(y) = 9*y**2 - 24*y + 3. Let b be u(3). Let k(g) = 11*g**2 - 4*g + 35. Is k(b) a prime number?
True
Let s(y) = 9414*y**2 + 785*y - 6339. Is s(8) a composite number?
True
Suppose l = 48*l - 9870. Is l/140 - 9935/(-2) a prime number?
True
Let o = -191 - -191. Suppose -6*c + 4763 + 29215 = o. Is c composite?
True
Let g be 4*-2*(-18)/72. Suppose -151 = -g*p + 111. Let u = p - 78. Is u a prime number?
True
Let p(l) = 22*l**3 - 2*l**2 - 70*l + 1527. Is p(19) composite?
False
Let h = -122740 - -223343. Is h prime?
False
Suppose 5*x = 3*h - 106104, 0 = -3*h - 16*x + 14*x + 106083. Is h composite?
False
Let n(i) = -i - 2. Let y be n(3). Let a be y/(-1) - 27/9. Is (a*2/8)/(18/83988) composite?
False
Suppose -1131424 = -4*h - 448*o + 445*o, 1131392 = 4*h - 5*o. Is h composite?
True
Suppose 291*q - 267826 = 265*q. Is q composite?
False
Suppose -3*r + 3*v = 4*v - 352, -r = -3*v - 134. Let d = r - 113. Is 28172/20 - d/(-15) a composite number?
False
Suppose -8*g + 7834 = -6*g. Let m = g + -1608. Is m a composite number?
False
Let b(c) = 34 + 28*c**3 - c**2 - 64*c**3 + 27*c**3 - 3*c - 2*c**2. Let j(y) = -y**2 + y + 3. Let m be j(4). Is b(m) prime?
True
Suppose 448*k = 23507632 + 25449360. Is k composite?
False
Let t be 61/(4/20 - (-759)/(-3870)). Is 14/70 + t/10 prime?
False
Let a be (-88)/3*(-26760)/80. Let y(x) = x**3 + 8*x**2 - 3*x - 4. Let s be y(-8). Is a/s - 1*(-2)/5 composite?
False
Let q(y) = -10 + 60*y - 38*y - 1 + 0 - 17*y**2. Let x be q(11). Let j = 2703 + x. Is j prime?
True
Let x = 102 - 151. Let g = 41 + x. Is 1047 + (g/12)/(1/(-3)) a prime number?
True
Suppose -84 = -25*l + 4*l. Suppose -4*y = -l*s + 7252, 2*s - 6*y = 242 + 3392. Is s a prime number?
True
Let t = -49 - -48. Suppose -6*n + 8*n = 0. Is t/((-2)/5218 + n) a composite number?
False
Suppose -d + 4*d + 3*p = 6, -p = -3*d + 10. Suppose 6*q - 19561 = q - d*t, -q = t - 3911. Let n = 6849 - q. Is n composite?
True
Suppose 35*k - 97944 = 3*j + 31*k, -4*j = 4*k + 130592. Let z = -10987 - j. Is z composite?
False
Let m(b) = -59*b**3 - 5*b**2 - 46*b - 151. Is m(-9) prime?
False
Let k be (-7*5/(-70))/((-4)/64). Let f(z) = 628*z**2 + 15*z - 9. Is f(k) prime?
True
Let m = -82 - -111. Let j = -26 + m. Is j/(-12) + (-7988)/(-16) prime?
True
Let s(z) = 56*z**3 + 22*z**2 - z - 55. Is s(14) a composite number?
False
Suppose 15 = 72*p - 67*p. Suppose 8 = -v + p*v. Is (-42)/v*(-3878)/21 a prime number?
False
Let f(j) = 4*j**2 - 6*j + 51. Let s(a) = -a**2 - a - 1. Let h(t) = t. Let v(z) = h(z) + s(z). Let n(b) = -f(b) - 6*v(b). Is n(-19) composite?
False
Let r(f) = 11*f + 108. Let v be r(-9). Suppose 3*n - 2*m - 4419 = 0, 0 = v*m - 7*m. Is n prime?
False
Let s = -2665 - -4449. Let g = s + 2253. Is g a composite number?
True
Suppose 3*d = 5*n + 334842 + 537119, 2*n = 4. Is d composite?
False
Suppose -16*u + 6947759 = -3*u. Suppose u = 32*j + 17*j. Is j a composite number?
True
Suppose 7*x = 58 + 54. Let j(f) = -8*f + 5 + 10*f**2 - 9*f**2 + x*f. Is j(6) a composite number?
False
Let d(g) = -g**2 - 5*g + 30. Let y be d(-9). Is (-5583)/y + (3 - 45/10) prime?
True
Let g be (-1 - -14983)/((-8)/(-7 + 3)). Suppose -2*u = p - g, -14441 = -2*p + 5*u + 550. Is p a composite number?
True
Suppose 0 = 10*q - 8*q + 8286. Let m(u) = 5*u + 7. Let n be m(-4). Is q*(n/ | {
"pile_set_name": "DM Mathematics"
} |
hout replacement from neetuidtd.
1/252
Calculate prob of sequence vf when two letters picked without replacement from rrrvnqrrf.
1/72
Two letters picked without replacement from kdpedrgkg. What is prob of sequence gg?
1/36
Calculate prob of sequence ycgc when four letters picked without replacement from {s: 1, g: 2, d: 2, x: 1, c: 2, y: 5}.
1/858
Three letters picked without replacement from {r: 1, q: 1, u: 1, j: 2, a: 2, f: 1}. What is prob of sequence fqj?
1/168
Four letters picked without replacement from reshersmmsmyr. Give prob of sequence sesr.
3/1430
Four letters picked without replacement from {s: 2, n: 1, g: 2, b: 4, i: 3}. Give prob of sequence gigi.
1/990
Calculate prob of sequence hsmh when four letters picked without replacement from {s: 1, m: 7, h: 12}.
77/9690
Calculate prob of sequence pw when two letters picked without replacement from {a: 1, p: 3, w: 1}.
3/20
Three letters picked without replacement from {g: 3, x: 3, e: 1, f: 1, m: 2, i: 1}. What is prob of sequence xif?
1/330
Four letters picked without replacement from pbbbbnffc. Give prob of sequence ffcp.
1/1512
What is prob of sequence hqt when three letters picked without replacement from {t: 1, l: 1, b: 16, q: 1, h: 1}?
1/6840
Four letters picked without replacement from {b: 1, t: 1, o: 2, k: 2, y: 8}. What is prob of sequence oytk?
4/3003
Three letters picked without replacement from {g: 4}. Give prob of sequence ggg.
1
Calculate prob of sequence od when two letters picked without replacement from doo.
1/3
Four letters picked without replacement from {x: 7, b: 3}. What is prob of sequence bxbx?
1/20
Two letters picked without replacement from zhgszszsmzcgczzmsscz. Give prob of sequence sc.
3/76
Three letters picked without replacement from gqgqgudfudbdqgduud. Give prob of sequence gfu.
1/306
Calculate prob of sequence hl when two letters picked without replacement from fffzlvvhzhrz.
1/66
Two letters picked without replacement from hth. What is prob of sequence th?
1/3
Calculate prob of sequence jj when two letters picked without replacement from {j: 2, p: 7}.
1/36
Four letters picked without replacement from trcccrtc. Give prob of sequence ccct.
1/35
Three letters picked without replacement from azarrrrattrmat. Give prob of sequence zra.
5/546
Two letters picked without replacement from {n: 1, p: 6, t: 6, h: 1, v: 6}. What is prob of sequence vv?
3/38
Four letters picked without replacement from tttttttgjgjjjgjtj. What is prob of sequence gttj?
3/170
Three letters picked without replacement from {h: 2, w: 11}. What is prob of sequence whw?
5/39
Three letters picked without replacement from ddrrtrccrct. Give prob of sequence trt.
4/495
Calculate prob of sequence bytb when four letters picked without replacement from ccbdccccccbctydc.
1/21840
Two letters picked without replacement from xxxjxjxxxjx. What is prob of sequence xx?
28/55
Calculate prob of sequence gh when two letters picked without replacement from {g: 9, t: 3, n: 2, h: 4}.
2/17
Calculate prob of sequence qos when three letters picked without replacement from {s: 1, o: 1, q: 9}.
1/110
Two letters picked without replacement from {e: 3, s: 3, p: 2, k: 5}. Give prob of sequence ps.
1/26
What is prob of sequence eg when two letters picked without replacement from {d: 2, p: 3, n: 2, e: 2, l: 4, g: 1}?
1/91
What is prob of sequence so when two letters picked without replacement from oioosoxssrs?
8/55
Two letters picked without replacement from wywwywwwwywywwyw. What is prob of sequence yw?
11/48
Two letters picked without replacement from wjjksjwswssttw. Give prob of sequence sj.
6/91
Three letters picked without replacement from kxuuuxkubkdux. What is prob of sequence uuk?
5/143
What is prob of sequence xo when two letters picked without replacement from {x: 1, n: 14, h: 2, i: 1, o: 1}?
1/342
Two letters picked without replacement from {w: 6, x: 12}. Give prob of sequence wx.
4/17
What is prob of sequence vk when two letters picked without replacement from dkpqvqk?
1/21
What is prob of sequence pylp when four letters picked without replacement from {l: 6, p: 4, y: 5}?
1/91
Three letters picked without replacement from otoccdmj. Give prob of sequence jcd.
1/168
Four letters picked without replacement from {o: 7, j: 2, e: 2, k: 1}. Give prob of sequence jkje.
1/2970
Three letters picked without replacement from miqdxrxm. What is prob of sequence mqd?
1/168
Calculate prob of sequence oih when three letters picked without replacement from uiohhu.
1/60
Four letters picked without replacement from lyjyyjyyljjjjjylyl. Give prob of sequence yyjy.
49/2448
What is prob of sequence xx when two letters picked without replacement from uxux?
1/6
What is prob of sequence ii when two letters picked without replacement from vijvjiji?
3/28
What is prob of sequence ppee when four letters picked without replacement from {v: 7, e: 2, p: 2, m: 1}?
1/2970
Two letters picked without replacement from qzbz. Give prob of sequence zz.
1/6
Calculate prob of sequence ppl when three letters picked without replacement from plllbppbll.
1/24
What is prob of sequence mum when three letters picked without replacement from umuuuoumuummu?
8/143
Calculate prob of sequence zxz when three letters picked without replacement from {i: 9, h: 1, c: 3, b: 1, x: 2, z: 2}.
1/1224
Two letters picked without replacement from {n: 2, v: 3, t: 6, r: 1}. Give prob of sequence vt.
3/22
Three letters picked without replacement from ghrppff. Give prob of sequence fpr.
2/105
Four letters picked without replacement from icigxxninfngnncxgggn. What is prob of sequence nxnx?
1/646
Calculate prob of sequence rg when two letters picked without replacement from ururgrgguuuru.
1/13
What is prob of sequence yyya when four letters picked without replacement from {y: 3, a: 4, r: 9}?
1/1820
Calculate prob of sequence fv when two letters picked without replacement from dnznaafzannfndnav.
1/136
Two letters picked without replacement from ppdpppdpptpppppd. Give prob of sequence tp.
1/20
Two letters picked without replacement from kxuhb. What is prob of sequence hb?
1/20
What is prob of sequence yny when three letters picked without replacement from {c: 1, r: 1, k: 4, y: 4, n: 3}?
3/143
What is prob of sequence dm when two letters picked without replacement from {m: 9, d: 1, a: 5, f: 5}?
9/380
Three letters picked without replacement from {f: 1, q: 5, u: 7}. Give prob of sequence quq.
35/429
Four letters picked without replacement from {x: 1, p: 4, t: 1, w: 1, f: 2, z: 3}. Give prob of sequence zfwz.
1/990
What is prob of sequence picp when four letters picked without replacement from ccciiiippzp?
1/110
Calculate prob of sequence kk when two letters picked without replacement from kkkk.
1
What is prob of sequence hd when two letters picked without replacement from hhrrgde?
1/21
Two letters picked without replacement from {e: 2, y: 2, l: 2}. Give prob of sequence el.
2/15
Calculate prob of sequence doq when three letters picked without replacement from {d: 2, o: 9, b: 7, q: 1, x: 1}.
1/380
Two letters picked without replacement from {x: 2, h: 2, l: 1}. Give prob of sequence lx.
1/10
Calculate prob of sequence mccm when four letters picked without replacement from ckkmmkckmkc.
1/220
What is prob of sequence mmtt when four letters picked without replacement from mtmttmtt?
1/14
What is prob of sequence uzup when four letters picked without replacement from zzwwzuzpzwzzzuzzzwwu?
11/19380
Two letters picked without replacement from {e: 5, x: 1, k: 6, c: 2, z: 1, q: 5}. Give prob of sequence zk.
3/190
What is prob of sequence cscs when four letters picked without replacement from {s: 2, c: 6}?
1/28
Two letters picked without replacement from {q: 2, j: 16}. What is prob of sequence jj?
40/51
Three letters picked without replacement from jllzllllzlzljllkzlz. What is prob of sequence klj?
11/2907
What is prob of sequence pp when two letters picked without replacement from pppppppppp?
1
Calculate prob of sequence wqm when three letters picked without replacement from {w: 1, l: 1, m: 3, q: 7}.
7/440
Calculate prob of sequence ddx when three letters picked without replacement from xxxxdxxdxdxxxxdxxxxx.
8/285
Two letters picked without replacement from {y: 6, u: 3, i: 1, j: 4}. Give prob of sequ | {
"pile_set_name": "DM Mathematics"
} |
Let t = s - 19. Let l = -10 - t. Is l a multiple of 14?
True
Suppose -p + 22 = 4*o - 78, 4*o - 340 = -4*p. Is 12 a factor of p?
False
Suppose 13*r - 17*r = c - 81, r - 348 = -5*c. Is c a multiple of 3?
True
Suppose -7*l + 883 + 118 = 0. Is 27 a factor of l?
False
Let t be (-1)/2*(-7 - -3). Suppose 0 = t*g + 2*p + 2 - 50, 5*g + 4*p = 120. Does 3 divide g?
True
Let b = -10 - -14. Suppose 0 = 5*f - 5*w + 10, -16 = -b*f - 5*w + 21. Does 15 divide (-1)/(f + (-232)/76)?
False
Is -2*(-2 + 5103/(-18)) a multiple of 56?
False
Suppose -2*w + 4*i - 20 = 82, -w = 2*i + 39. Is 36 a factor of 54/((-2)/20*w/6)?
True
Let u(p) = 19*p**3 + 4*p**2 - 6*p + 46. Does 8 divide u(4)?
False
Suppose 2 - 5 = -3*b. Suppose 0 = 5*v + 21 - b, 0 = -k - 5*v + 42. Suppose -2*p + 4 = 12, a - p = k. Is 21 a factor of a?
False
Let j be 8/8 + (-2)/(2/(-1)). Suppose b - 222 = -3*r, b = -j*r + 5*r - 216. Does 22 divide r?
False
Suppose 0 = 4*b - 2*p - 622, -2*b - 2*p + 782 = 3*b. Is 13 a factor of b?
True
Suppose -b = 14 - 1. Let y(j) = j**3 + 13*j**2 + j + 16. Let w be y(b). Suppose 2*g - w*g + 88 = 0. Does 25 divide g?
False
Suppose 14*o = 3*o + 3685. Suppose 5*t = -0*i + i + o, -3*i = -3*t + 201. Does 24 divide t?
False
Let h(j) = 34*j**2 - j - 1. Let x be h(-2). Suppose 4*q = x - 17. Is ((-3)/(-2))/(q/1480) a multiple of 35?
False
Let o(w) = -w - 5. Let h be (10/(-4))/(2/4). Let c be o(h). Suppose l = 3*n + 32, n - 56 = -3*l - c*n. Is 4 a factor of l?
True
Let f = 14 + -24. Let h(d) = -d**3 - 3*d**2 + 4*d - 1. Let n be h(3). Let g = f - n. Is g a multiple of 12?
False
Suppose -d - 2*d - 2*f + 2 = 0, 4*d - 2 = -3*f. Let x be (124/6)/((-2)/(-3)). Suppose -d*w = -7*w + 2*h + 82, -2*w = h - x. Is w a multiple of 14?
False
Suppose -4*l = -3*u - 33, 8*u + 4 = l + 3*u. Let z(h) = 2*h - 3*h**2 + 7 - 13 + l*h + 6*h**2. Is 22 a factor of z(4)?
False
Let i = -532 + 1013. Is 57 a factor of i?
False
Let x(p) = -51*p - 51. Is 9 a factor of x(-7)?
True
Let c = 31 + -143. Let b = -67 - c. Does 28 divide b?
False
Let l be (-3)/3 - 4/(-2). Let t(m) = 78*m**3 - m**2 + 2*m - 1. Is 13 a factor of t(l)?
True
Let m(c) = c**3 + 18*c**2 - 20*c - 4. Let n be m(-19). Let d(y) be the second derivative of y**3/3 - 17*y**2/2 + y. Is d(n) a multiple of 4?
False
Let b be 33/4*(-136)/51. Let t = -17 - b. Is 5 a factor of t + -8 + 42/2?
False
Let z(m) = m**2 + 9*m + 10. Let v be z(-8). Let j be (0/v)/(-2 - -1). Suppose j = 3*h + 74 - 290. Does 19 divide h?
False
Let m = 12 + -12. Suppose -1 + m = a. Does 12 divide (a/3)/((-2)/306)?
False
Suppose -5*j + 3*u = -26, -4*u = j - 0*u + 4. Suppose -j*f + 307 = 59. Is f a multiple of 7?
False
Let b(o) be the first derivative of -o**4/4 - 4*o**3 + 2*o - 3. Let x be b(-12). Suppose z + x - 14 = 0. Does 5 divide z?
False
Let h = -18 - -13. Let d(o) be the first derivative of o**4/4 + 2*o**3 - 3*o**2/2 - 3*o - 3. Is 14 a factor of d(h)?
False
Suppose 2*l = 5*t - 25, 2*l + 4 = -2*t - 0. Let v(s) = 12*s**2 - 7. Does 7 divide v(t)?
False
Suppose 0*u + 20 = 2*u. Let k be 3 + (-5)/(u/18). Is 20 a factor of (-15)/10*400/k?
True
Let a = 139 + -108. Let v = a + -15. Is v a multiple of 2?
True
Suppose -5*z + 6*u + 2271 = -17501, 2*u = 5*z - 19784. Is 138 a factor of z?
False
Suppose -h + 101 + 4 = 0. Is 4 a factor of h?
False
Let g = 1516 - 975. Suppose g = 5*f + 156. Does 7 divide f?
True
Let z(v) = 21*v**2 + 14*v + 35. Is z(-10) a multiple of 95?
True
Suppose 4*a - 4681 = 5*n, 5*a - 1762 = 3*n + 4073. Does 6 divide a?
True
Suppose -5*x + 4*r = 175, 2*x + 94 = -4*r - 4. Let s(o) = -76*o**3 - 2*o**2 - o. Let v be s(-1). Let z = x + v. Does 17 divide z?
False
Suppose 86 = 22*n - 1674. Is n a multiple of 10?
True
Let l(u) = -7 - 28*u**2 + 1 + 31*u**2. Let j = 3 - 0. Is 14 a factor of l(j)?
False
Let j = 3 - 162. Suppose 4*v + 558 = -2*v. Let q = v - j. Is 22 a factor of q?
True
Let a be (-7)/((-7)/(-2)) + 0 - -170. Suppose 0 = 2*l + l - a. Does 14 divide l?
True
Let f be (-4)/2*(24/(-4) - -5). Suppose -6*v = -v + m - 207, 0 = -f*v - m + 81. Is v a multiple of 14?
True
Suppose -5*j + 176 = 2*p, 3*p - 5*p + 176 = -5*j. Is 22 a factor of p?
True
Suppose 1212 = 5635*s - 5629*s. Is 8 a factor of s?
False
Suppose 5*z = -3*l + 1378, 2*l - 2*z = -3*l + 2276. Does 57 divide l?
True
Let c(z) = -z**2 - 7*z - 6. Let u be c(-7). Let f be 302/8 + u/8. Let n = -24 + f. Is n a multiple of 4?
False
Let p(r) = 39*r + 10. Let w be p(10). Suppose x + 9*x - w = 0. Does 10 divide x?
True
Let i(v) = v**3 - v**2 + 1. Let j(t) = 5*t**3 - 7*t**2 + t + 30. Let s(h) = -6*i(h) + j(h). Does 6 divide s(0)?
True
Let k(g) be the third derivative of -g**5/40 - 19*g**4/24 + 13*g**3/6 + 14*g**2. Let c(b) be the first derivative of k(b). Is c(-14) a multiple of 4?
False
Suppose 9 = 4*i - 11. Suppose 5*t = i*x + 1415, 0*t - 578 = -2*t + 5*x. Is 19 a factor of t?
False
Let z(o) = -o**3 + 7*o**2 + 19*o - 22. Is z(8) a multiple of 2?
True
Let v(z) = -16*z - 10. Is 7 a factor of v(-22)?
False
Let i = -29 + 8. Let j be (i/7)/((-1)/7). Is 3/2*616/j a multiple of 32?
False
Suppose -4 = 9*p + 14. Is (-58)/p - (-1 + -2 - -3) even?
False
Let v be (-90)/105*14/(-3). Let n be (88/33)/(v/294). Suppose -74 - n = -5*u. Does 9 divide u?
True
Let h = 17 - 14. Suppose -s = s - 5*i + 2, -5*i = -3*s + 2. Suppose h*d + 2*t = 27, d - s*t + 5 = -0. Is d a multiple of 6?
False
Let n(z) = -9*z + 79. Let i be n(8). Suppose -10*w + 884 = i*w. Does 7 divide w?
False
Let n(c) = 4*c**2 - 26*c + 72. Does 54 divide n(9)?
True
Suppose -3*k = 3*l - 270, 20*k - 5 = 25*k. Does 13 divide l?
True
Let n(d) = -539*d + 22. Let x be n(-2). Suppose -44*g + 49*g = x. Does 44 divide g?
True
Let u = -797 + 1164. Let s = u + -223. Is s a multiple of 16?
True
Let m = 33 - 28. Suppose -3*g - 4*w + 139 = 0, -5*g - 3 = -m*w - 293. Does 17 divide g?
False
Let l = 15 - 1. Let o(f) = -f**3 - 5*f**2 + 5*f - 1. Let j be o(-6). Suppose j*r - 21 = l. Does 2 divide r?
False
Let c(q) = -q. Let u(k) = -10. Let m(x) = 4*c(x) + u(x). Is m(-4) a multiple of 2?
True
Suppose 5*h = -3*c + c + 74, -24 = -h - 5*c. Is h a multiple of 14?
True
Let h(r) = -r**2 + 29*r + 36. Is h(9) a multiple of 31?
False
Let v(j) = 2*j - 21. Let d be v(13). Let x = 20 + d. Does 9 divide x?
False
Let w(z) = -z**3 + 4*z**2 - 2*z - 3. Let g be w(3). Suppose -413 = -5*h + 3*a, 5*a + g*a - 20 = 0. Is h a multiple of 17?
True
Let i(j) = j + 13. Let k be i(-10). Suppose -k*t = 2*t + 15, 2*t + 9 = o. Does 2 divide o?
False
Let j be (-20 - 3) + (-1 - -2). Does 10 divide (-656)/j + 6/33?
True
Let h(s) = s + 1. Let y be h(4). Suppose c = -y*z + 2*z, -2*c = 5*z. Let j(f) = f**3 - f**2 + 42. Does 14 divide j(c)?
True
Let f be 2/6 + (-4)/((-12)/5). Is (((-4)/(-5))/f)/((-4)/(-500)) a multiple of 25?
True
Let o(m) = 15*m**2 - 3*m - 2. Let n(f) = f**2 + 2*f - 1. Let q be n(-2). Let s be 1/q*(0 - -1). Does 11 divide o(s)?
False
Suppose 0 = -15*s + 40 + 80. Is (s/(-14))/(14/(-637)) a multiple of 8?
False
Suppose -3 = -c - 25. Let k = c - -22. Suppose 0*s + 2*s - 3*g - 38 = k, 5*s = 2*g + 106. Does 11 divide s?
True
Suppose 33*a = 14*a + 3838. Is 30 a factor of a?
False
Suppose 3*k - 2*k - 6 = 0. Suppose 5*d = -k + 26. Suppose d*t - 165 = -t. Is 11 a factor of t?
True
Suppose -4*g + 48 = -4*m, 0*g - 70 = -5*g - 5*m. Let p be g/5 - (-10)/25. Suppose 0 = n - 22 + p. Does 7 divide n?
False
Suppose -36*f = -34*f + 4. Let r(b) = -35*b + 1. Is r(f) a multiple of 33?
False
Is 48 a factor of (-15)/2*(-96)/15?
True
Let w(y) = y**3 + 6*y**2 - 8*y - 4. Let v be w(-7). Suppose h + k - 18 = 0, 8 = 2*h - v*k - 28. Is 6 a factor of h?
True
Let f be 4/10 - (-87)/(-5). Let u = f - -99. Is u a multiple of 5?
False
Let p = 3292 - 2236. Is p a multiple of 48?
True
Let n(j) = j**3 + 39*j**2 - 8*j - 261. Is n(-39) a multiple of 6?
False
Let i(d) = d**3 - 6*d**2 + 9*d - 19. Let a be i(5). Suppose s - 15 - 4 = 0. Suppose -s + a = -3*x. Is x a multiple of 2?
True
Suppose -4*i - 116 = -4*f, 3*f - i = 4*i + 97. Suppose -m + f = 4*j, -2*m - 2*j = m - 22. Suppose 30 = -m*v + 118. Is 22 a factor of v?
True
Suppose 5*x + 34 - 44 = 0. Is x + (-564)/(-18)*6/4 a multiple of 7?
True
Is 54 a factor of 50 + 1/(1 + (-6)/8)?
True
Suppose 95*j - 115*j + 5900 = 0. Is j a multiple of 6?
False
Let m(x) = -28*x - 2. Is 33 a factor of m(-26)?
True
Let f = -658 - -1 | {
"pile_set_name": "DM Mathematics"
} |
d by 140/34 + z/51.
1
Let t = -2781 - -3343. What is the remainder when t is divided by 113?
110
Suppose 0 = -g + 8*g + 182. Let q = 33 + g. Suppose -q*l + 4 = -129. What is the remainder when 31 is divided by l?
12
Let q(o) = o**3 - 53*o**2 + 188*o - 89. What is the remainder when 8596 is divided by q(51)?
2
Let k(r) = -12*r**2 - r. Let l(b) = b + 2. Let c be l(-3). Let z be k(c). Let g = z - -26. Calculate the remainder when 58 is divided by g.
13
Let g(h) = 12*h**3 + 2*h**2 + 2*h. Let d be g(-1). Let a be 4532/6 - (-16)/d. Suppose 13*k - a = 104. What is the remainder when k is divided by 35?
31
Let a = -4130 + 4182. Calculate the remainder when 2700 is divided by a.
48
Suppose -225 = 20*z - 17*z. What is the remainder when 175 + (-25)/z*(-1 + 1) is divided by 63?
49
Suppose -71*r + 9043 = 13*r - 2633. Calculate the remainder when 698 is divided by r.
3
Let z = -5482 - -5612. Calculate the remainder when 406 is divided by z.
16
What is the remainder when (9*23/(-46))/((-2)/136) is divided by 14?
12
Suppose -2*o + 716 = 2*c, 4*o - 1788 = -7*c + 2*c. What is the remainder when c is divided by 71?
1
Let h be 6/10*(-1040)/(-156). Let t(w) = -3*w**2 + 24*w - 11. Calculate the remainder when t(h) is divided by -20*((-7)/4 - -1).
7
Let j(s) = s + 33. Let l be j(-26). Suppose l*d - 2889 = 233. What is the remainder when d is divided by 56?
54
Let o(v) = -56*v + 2872. What is the remainder when 765 is divided by o(51)?
13
Suppose 17 = -3*o - b, o + 0*o + 5*b + 1 = 0. Let c be ((-66)/55)/(o/(-20)). Calculate the remainder when 12*2*c*232/(-96) is divided by 59.
55
Let t = 7389 + -6909. Calculate the remainder when t is divided by 188.
104
Suppose 3*z - 3*h - 1394 = -z, 4*z = -5*h + 1410. What is the remainder when (-20)/z*-10*77 is divided by 30?
14
Let q(m) = -m**3 + 12*m**2 + 18*m - 62. Let w be q(13). Suppose 125 = w*s + 2*l, -s = -6*l + 4*l - 31. Calculate the remainder when s is divided by 21.
18
Let a = 12020 - 10330. Calculate the remainder when a is divided by 77.
73
Let k(n) = n**2 + 16*n + 11. What is the remainder when k(12) is divided by 13 - (0/2 - 1)?
11
Let u(q) = -q + 144 - 454 + q**2 + 236. Calculate the remainder when 62 is divided by u(-9).
14
Let z = -10320 + 10394. Calculate the remainder when 211 is divided by z.
63
Suppose 2*b = a - 37, -2*a + 3*b - 102 = -5*a. Suppose -r = -a + 7. Calculate the remainder when r is divided by 5.
3
Suppose -4*v = l - 85, -23*l - v - 593 = -28*l. Calculate the remainder when 341 is divided by l.
107
Suppose 11*l - 4*b + 2619 = 14*l, -4*b = 4*l - 3492. Calculate the remainder when l is divided by 148.
133
Suppose 117*w + 0*w - 1539369 = 0. What is the remainder when w is divided by 8?
5
Suppose 0 = 2*z - 3*h - 1935, 2*h - 1488 = -2*z + 442. Suppose 190*q + z = 196*q. Calculate the remainder when q is divided by 27.
26
Calculate the remainder when 193 is divided by (-84)/(-8)*(1/(-2))/((-42)/112).
11
Suppose 96 = 2*u - 4*q, 4*u = 5*u - 5*q - 57. Let x(i) = i + 7. Let k be x(-11). Calculate the remainder when u is divided by -1 - -21 - (-7 - k).
19
Suppose -4*b + 8*u = 4*u - 2036, -3*b + u = -1537. Let r = 742 - b. Calculate the remainder when r is divided by 33.
30
Let a = 65 + -47. What is the remainder when 1580 is divided by a?
14
Let w = -73 - -77. Suppose 0 = -5*g - 0*g + 5, 4*g = 4*t - w. Suppose -t*f = 3*p - 38, 5*f - 65 = -p - 4*p. Calculate the remainder when 48 is divided by p.
0
Suppose 7 = 2*n - 7. What is the remainder when ((-40)/(-12))/5 - 112/(-3) is divided by n?
3
Suppose -2*a + 130 = -4*r, -126 = -2*a - r + 29. What is the remainder when 4198 is divided by a?
73
Suppose -14*v = -6 - 8. What is the remainder when 70 is divided by ((-196)/16 - -7)*(v + -5)?
7
Calculate the remainder when (18 - -2)/(-3 - (-40)/12) is divided by 49.
11
Suppose 3*r + 245 = 5*q, 2*q + r + 48 - 146 = 0. Suppose w - q = -6*w. Let x = -254 - -295. What is the remainder when x is divided by w?
6
What is the remainder when 361 + 1 + 6/((-57)/19) is divided by 195?
165
Let v(i) = i**2 + 3*i + 1. Calculate the remainder when (-326)/(-2) + ((-312)/(-6) - 44) is divided by v(4).
26
Suppose 5*a + 8*a - 1394 = -4*y, 0 = 4*a + 4*y - 440. What is the remainder when 617 is divided by a?
87
Let g(h) = -8*h**2 + 10*h - 31. Let i be g(4). Let b = -62 - i. What is the remainder when b is divided by 1*(-40)/(-12)*3?
7
Suppose 3*m = -110 - 43. Let u = m + 109. Let y = 99 - 89. Calculate the remainder when u is divided by y.
8
Suppose 307*u = 274*u + 51645. What is the remainder when u is divided by 112?
109
Suppose 0 = -9*a + 19 + 8. Suppose a*r - d + 7 = -4, 5 = -5*r - d. What is the remainder when 19 is divided by (r/3)/((-20)/150) + 2?
5
Let d = -24 + 1. Calculate the remainder when -7 - -1 - (-116 - d) is divided by 2.
1
Let p(g) = g**3 + 8*g**2 + 10*g - 1. Suppose 4*y + 2*m + 22 = 0, 4*y = 7*y - m + 19. Calculate the remainder when 76 is divided by p(y).
10
Suppose -2*u + 5*u - 451 = 2*v, 0 = -2*u + 5*v + 286. Let n = 225295 - 225283. What is the remainder when u is divided by n?
9
Let q = 1287 + -1322. Suppose -5 = m + 3. Let r = m - q. Calculate the remainder when 50 is divided by r.
23
Let d = 40 - 36. Suppose 0 = -d*s - 2*r - 26, -2*s + 2*r = 4*r + 16. Let a = 50 + s. Calculate the remainder when 133 is divided by a.
43
Suppose 4*w + 164 = 4*a, 19*a - 22*a + 2*w + 125 = 0. What is the remainder when 386 is divided by a?
42
Let h be (1*-5)/(50/100). What is the remainder when 99 is divided by (-2)/(-5) - 3/h*22?
1
Let c(h) = -h**3 - 29*h**2 + 99*h + 4664. Let b = 115 - -813. Calculate the remainder when b is divided by c(-26).
60
Let x = -3333 + 3456. What is the remainder when x is divided by 54?
15
Let t = 4408 + -4323. Calculate the remainder when 1867 is divided by t.
82
Let v(r) = -3*r**3 - 12*r**2 + 19*r + 17. What is the remainder when v(-10) is divided by 7?
3
Let f(g) = 98*g - 565. What is the remainder when 1217 is divided by f(6)?
21
Suppose 4*k + 4 = h, -2*k + 0*h - 2 = -h. Let q(z) = -z**2 + 27*z - 31. Let o be q(26). Calculate the remainder when 7 is divided by (k - 1)*(5 - (o + 11)).
1
Let g = -19038 - -20563. Calculate the remainder when g is divided by 504.
13
Suppose 0 = -2*i + 4*o + 194, -4*i = -9*i + 4*o + 485. Suppose -2*a - 53 = -g + i, 0 = -4*g - 2*a + 560. Calculate the remainder when g is divided by 18.
16
Suppose 1 + 3 = 2*m. Suppose 81 + 79 = m*z. Calculate the remainder when z is divided by 17.
12
Suppose 156 = s + 2*k, -4*s + 0*s + 616 = 4*k. Let l = -17 + 31. What is the remainder when s is divided by l?
12
Calculate the remainder when (-2)/12 + (43814/9)/(596/447) is divided by 13.
11
Let i(j) = -11*j - 58*j - 8*j + 6. Let h(d) = d**2 + 56*d - 60. Let s be h(-57). What is the remainder when i(s) is divided by 40?
37
Suppose 0 = -4*a + 3*z + 17670, 5*a - 4*z - 8233 = 13854. What is the remainder when a is divided by 201?
198
What is the remainder when 3375 is divided by (-20)/(28/(-266) + (-12)/247)?
125
Let q = 19 - 30. Let j(d) = 7*d + 20. Let y be j(q). What is the remainder when ((-72)/14)/(y/266) is divided by 15?
9
Suppose -289*q - 22792 = -257749. What is the remainder when q is divided by 27?
3
Let h = 34 - -13. Suppose 2*x - x + 5*l = -7, 5*l - 25 = -5*x. Calculate the remainder when h is divided by x.
7
Let b = 26843 - 26012. Calculate the remainder when b is divided by 122.
99
Let z = 11 + 6. Suppose -y + 141 = 3*x, -4*y + 5*x + 495 = -35. Calculate the remainder when y is divided by z.
16
Suppose 0 = -3*z - 3*n - 306, 4 + 96 = -z - 2*n. Let p = z + 451. Calculate the remainder when p is divided by 32.
27
Suppose 4*i + 1 = -2*o + 7, 0 = -2*i + 4*o + 8. What is the remainder when 37 is divided by i/(((-72)/(-28))/9)?
2
Let v(k) = k**2 + 2*k + 20. Let p(u) = 160*u + 2317. What is the remainder when p(-8) is divided by v(0)?
17
Suppose 5*v - n - 18 = 0, 0 = 2*v - 2*n + n - 6. Suppose 16*w + v*w - 940 = 0. What is the remainder when w is divided by 13?
8
Calculate the remainder when 630 is divided by (63/(-147))/((-4)/(1 + 83)).
0
Suppose 2*u + 85 + 1021 = q, -2*u + 5470 = 5*q. What is the remainder when 1147 is divided by q?
51
Let j = 77 + -16. Suppose 0 = -3*o + 3, -j = -3*y + y - o. Suppose -18*h - y = -20*h. What is the remainder when 74 is divided by h?
14
Let i(u) = | {
"pile_set_name": "DM Mathematics"
} |
. Is k < -42?
False
Suppose 0 = -5*f + 5, -4*i + 82 = -i + f. Let g be ((-60)/16)/(3 + i/(-8)). Suppose 4*w = 1 + 43. Is g less than w?
True
Let i = 0.2 - 0.1. Let a be (-8988)/14231 + 244/266. Which is bigger: i or a?
a
Let h = 2400 + -539999/225. Suppose -2*b - 26 + 6 = -5*t, -13 = -3*t + b. Let f be 0*((-133)/(-21) - t). Which is bigger: h or f?
h
Let l be 13052/(-699400) + (-4)/(-50). Is -1 smaller than l?
True
Suppose 2243 = -4*o - 2161. Let a = -40743/37 - o. Let g be 1/(((-6)/15)/(-3 + (-17)/(-5))). Is a not equal to g?
True
Suppose 0 = 6*v - 193 + 7. Suppose 4*k + 15 = -k, 0 = h + 5*k - 51. Let j = v - h. Are -37 and j non-equal?
True
Let w = -25 + 91. Let d = -18 - w. Let n = -83 - d. Is 2/3 not equal to n?
True
Suppose -5617*c + 5665*c = -357024. Which is smaller: c or -7439?
-7439
Suppose 5 - 1 = f. Suppose -4*k - 37 = -f*n - 9, 0 = 4*n + 4*k + 4. Let o be (1 - n)*(-2)/(-4). Is o less than 3?
True
Suppose -20*q = -19*q - 23. Let r be q/72 + (-4)/12. Is -1 > r?
False
Let z(m) = m**3 + 10*m**2 + 12*m. Let n(l) = -2*l + 13. Let s be n(10). Let h be z(s). Is h < 64?
True
Let p be (10 + 344/(-36))/(1/9) - 3. Which is smaller: -1/6657 or p?
-1/6657
Let f = 172 + -169. Suppose i = -f*a - 12, 5*a = i + 4*a - 4. Which is bigger: i or -31?
i
Suppose -149*v = 2414 + 3099. Is v != -18?
True
Let k(g) = -11*g + 60. Let v be k(-2). Let a = -42 - -122. Which is smaller: v or a?
a
Let l(k) = -k**3 - 16*k**2 - 27*k + 100. Let j be l(-29). Let t be 3/(-12) - (6 + j/(-1888)). Are t and -1 nonequal?
True
Let u be -1 - -1 - (0 - -2). Let k = 469909 - 4219840/9. Let q = k + -1039. Is q greater than or equal to u?
True
Let k be (2/2)/((-3)/28044). Let l be 3/4*(-19)/(k/(-8)). Suppose j = 4*q + 4, 4*q + 4 = -0*j + 5*j. Which is greater: q or l?
l
Let x(i) = -1237*i**3 - 3*i**2 + i + 2. Let l be x(1). Let h = l - -587573/475. Which is bigger: h or -1?
h
Let w(q) = -2*q**3 + q**2 + 2*q + 5. Let o be w(-2). Let v be (-2238)/o - 2 - (-12)/(-28). Is -108 > v?
True
Suppose 484 = t - 2*c, -3*t + 5*c + 1473 = 6*c. Suppose 14 + t = 14*v. Which is bigger: 40 or v?
40
Let l be (-1)/1896*1046776/(-138) + (-3 - 1). Is 0 equal to l?
False
Let m be -204*(3 - (-112)/(-42)). Which is greater: -35 or m?
-35
Let n = 13679929/2130 - 12845/2. Let a = 717 - 716. Which is greater: a or n?
a
Suppose -y = -2*x + 112, x - y - 17 = 37. Which is bigger: 632/11 or x?
x
Suppose 586*h - 849*h + 68906 = 0. Which is smaller: 280 or h?
h
Let r be ((-4)/(-14))/(14497/545). Which is smaller: -1 or r?
-1
Let v(f) = 80*f - 38*f + 10 - 40*f. Let l be v(-4). Let k = -13 + 15. Is k greater than l?
False
Let b(k) = 13*k - 3. Let j be b(-10). Let u be (-256)/192 + 395/(-3). Is u <= j?
True
Let z = -2319 + 1636. Let q = z + 295. Is q bigger than 0?
False
Let r = 19218/13 + -1478. Suppose 4*a + 9 = -5*z, -3*z - a = 3*a + 7. Is r <= z?
False
Suppose r - 5*z + 31 = 0, 76 = -4*r + 3*z - 14. Let q = -650 + 651. Which is smaller: q or r?
r
Let i be (56/(-24))/((-4)/48). Suppose 11 = i*w - 17. Which is smaller: w or -9?
-9
Let x be 2/5 + 3154944/(-7879560). Which is smaller: -0.2 or x?
-0.2
Let u = -180 - -104. Let y = -60 - u. Let m = -9 + y. Is -4 greater than m?
False
Let m be ((-1)/(-1))/(35/(-70)). Let d be (680/(-140))/((10/7)/m). Is d less than or equal to 8?
True
Let x(d) = -d + 14. Let s be x(2). Let q(u) = u**2 - 18*u + 73. Let l be q(s). Are 1/151 and l equal?
False
Suppose -8*t + 6925 = 24180 + 10641. Which is smaller: -3485 or t?
t
Let q be -82 - -3*4/3. Let o be ((-2)/(-3))/(q/(-90) - 1). Do -4 and o have the same value?
False
Let a = -31424 + 18992. Which is smaller: a or 0?
a
Let n = -830592 - -41533537/50. Let u = 315/4 - n. Which is greater: -1 or u?
u
Let n = -14.07 - -15.9. Let w = n - -0.17. Which is greater: 9 or w?
9
Suppose 1151 = 2*h - 935. Suppose -21*v + h + 1456 = 0. Which is smaller: 117 or v?
117
Let i be (10 - (-426)/(-36))/((-51)/(-10)). Let y = i - -8/17. Let r = 0 - 1. Is r at least y?
False
Suppose 4*f - 11 = h, -4*h + 9*h - 17 = -4*f. Let j(p) = p - 6. Let m be j(5). Let q be 10/f*(-75)/(-20)*m. Is q equal to -13?
False
Let b be (-2)/(-5) + (-45120)/50 - (-2 + 8). Which is smaller: -909 or b?
-909
Let h be 16520/(-172)*((-30)/32 - -1) - -6. Which is smaller: 1 or h?
h
Let f = -5713.48 + 5705. Which is bigger: -1 or f?
-1
Let i(w) = -17*w - 211. Suppose -b = -4*p + 14, -3*p = -5 + 2. Let y be i(b). Do y and -49 have different values?
True
Suppose 0 = 7*r - 16864 + 3949. Is r bigger than 20286/11?
True
Let r = -16376 - -45710/3. Let w = -1129 - r. Which is smaller: -4 or w?
-4
Let s = 2.21 - 2.31. Suppose -2*a - 2*a + 40 = 0. Let p be a*(-4)/(-64)*1. Which is smaller: p or s?
s
Let d(x) = 2*x**3 - 8*x**2 - 3*x + 18. Let t be d(6). Let k = 138 - t. Which is smaller: k or 5?
k
Let n(h) = -10*h**2 + 313*h - 351. Let o be n(30). Are -70/11 and o nonequal?
True
Let s = -545 - -542.361. Let k = s - -2.61. Is k less than or equal to -2?
False
Let i(t) = t**2 + 24*t + 65. Let h be i(-21). Let g be (2*h/(-290))/(1/105). Which is bigger: g or -1?
-1
Let v(s) be the first derivative of 4*s**2 - 49*s - 65. Let x be v(5). Which is smaller: x or 0.8?
x
Let f(t) = t**3 - 3*t. Let w(r) = -2*r**3 + 5*r. Let c(n) = -5*f(n) - 3*w(n). Let p be c(1). Let j = -5138 + 1114948/217. Do j and p have the same value?
False
Let t = 20742 + -726058/35. Is -2 less than t?
False
Let x be (-55)/390*(2 + (-310)/154). Suppose -2*k + 25 = -5*k - 5*l, -10 = 2*l. Is k at most x?
True
Let a = 44 - 39. Let d = a + -90. Is d bigger than -86?
True
Let j be ((-247584)/(-6408) - 38) + 2/(-6). Which is greater: j or 0?
j
Let n be -201 + (-4 + -11 - -23). Let o = 71033/4 + -1475485/84. Let w = n + o. Is w at least -1?
True
Let i = 832 - 803. Suppose 0 = -3*w + 2*w. Which is bigger: w or i?
i
Suppose -4*y = 2*s + 8 - 26, 0 = -3*y + 3. Which is smaller: s or 46?
s
Let p(i) = -i**2 - 5*i - 2. Let w be p(-3). Let j(n) = -n**3 + 4*n**2 + n + 4. Let d be j(w). Suppose -d*v + 34 = -558. Is 73 at least as big as v?
False
Let n = -0.76 + 0.141. Let v = 0.619 + n. Are -6 and v non-equal?
True
Let b = 36771/10 + -3681. Suppose 0 = 266*v - 275*v - 27. Is b at most v?
True
Let b(q) = -3*q - 3. Let m be b(6). Let l = -7653 - -7649. Which is greater: l or m?
l
Suppose -3*k = -2*d - 5*k - 18, 0 = -3*d - 5*k - 27. Let i be 231/44*(-2)/d. Let o = -611/7 + 87. Which is bigger: i or o?
i
Suppose -4*r + 11647 = 15*r. Let y = -623 + r. Which is greater: y or -180/19?
-180/19
Let s(b) = b**2 + 32*b - 417. Let g be s(10). Is g at most -445?
False
Let x be (-6235)/43*4/204. Does x = -4?
False
Suppose -441*w - 28 = 4*i - 437*w, -2*i = -w - 4. Which is smaller: 18/343 or i?
i
Let f = 124485 + -124488. Suppose 0*r = 2*r + 6. Is f smaller than r?
False
Let b be (32/(-12) + 3)/(6565/(-30)). Let p = b + -7828/32825. Which is bigger: p or 1/2?
1/2
Let m = 381.66 + -382.66. Let j be ((-14)/5)/((-6)/229). Let g = -107 + j. Is m less than g?
True
Suppose 4 = 4*c - 3*c. Suppose 5*t + 720 = -3*n, -c*t + n - 593 = -0*t. Let r be ((-8)/3)/(-4) - (-95)/t. Are -1 and r non-equal?
True
Let f(g) = 2*g**2 + 6*g - 32. Let s(q) = -q**2 - 3*q + 16. Let a(p) = -6*f(p) - 13*s(p). Let v be a(-6). Suppose 2*k + v*k = -8. Is -1 less than or equal to k?
False
Suppose 0*z - 4*z - 924 = 0. Let v(f) = -f**3 - 20*f**2 - f + 401. Let w be v(-18). Which is bigger: z or w?
w
Let s(t) = 2*t**2 - 55*t - 2968. Let m be s(0). Is -2968 greater than m?
False
Let x = -445 - -482.4. Let m = 32 - 29.6. Let h = x - m. Is 1 less than h?
True
Let i(h) = -h + 48. Let m be i(10). Let t be 2/(0 + -4)*m/(-3173). Suppose 3 = a, 4*a + a - 18 = -3*s. Is t greater than s?
False
Let i = 0.116 - 0.016. Let l(o) = 0*o - 4*o - 3*o**2 + 4*o**2 - 4. Let c be l(5). Which is greater: i or c?
c
Suppose 0 = -17*y - 6 - 28. Let q(o) = 30*o**3 + 4*o**2 - 4*o - 12. Let i be q(y). Which is smaller: i or -229?
-229
Let r = -0.562 + -60.538. Let v = -60.1 - r. Which is smaller: 5 or v?
v
Let z be (-51)/(-15) + -3 + (18288/(-210))/12. Which is smaller: z or -1/17?
z
Let p = -277.8 + 303. Let y = 85 - 60. Let a = p - y. Is a at least as big as 0.07?
True
Suppose -63 = 618*h - 555*h. Which is greater: h or -1/13950?
-1/13950
Let u = 15749 - 17923. Is u greater than -2172?
False
Suppose -440*i - 653118 + 2350638 | {
"pile_set_name": "DM Mathematics"
} |
156/99 and a.
4125
Let f = 54/5 - 13. Let v = f + -23/60. Let o = -3664 - -29219/8. Find the common denominator of o and v.
24
Suppose 5 - 40 = -7*o. Suppose -o*z - 4*y - 1190 = -3*y, 0 = 5*z - y + 1190. Find the common denominator of -107/22 and 1 + (0 - 1) - (-255)/z.
154
Let m = 5039/1312 - 87/41. What is the common denominator of 107/12 and m?
96
Let s be ((-456)/(-36))/(2/(-24)). Find the common denominator of 45/2 and s/300*3 + 0/1.
50
Let k be ((0 + 1)/(-1))/((-11)/(-11)). Let a be 0 + 1 - (k - 0)*-3. Calculate the lowest common multiple of 11/(-2) + 5 - 19/a and 37.
333
Let y be 6/11 + 2928964/633688. Let j = -1/1137 + y. Calculate the common denominator of j and (4/(-10))/((-48)/1090).
12
Let y(o) = 737*o + 777*o - 1516*o + 4. Let p(f) = -f**2 - 5*f + 5. Let b be p(-6). What is the lowest common multiple of 4 and y(b)?
12
Suppose 3*z = -2*c - 506 + 20850, -27140 = -4*z + c. Let w = z - 352787/52. Calculate the common denominator of w and 1/20.
260
Let i = 76049731/247318800 + 2/618297. What is the common denominator of 31/100 and i?
400
Let u(c) = -3*c**3 - c**2 - 2*c - 3. Suppose -2 = 4*a + 6. Suppose 10*l + 0*l - 300 = 0. What is the least common multiple of l and u(a)?
210
Let o = -75 - -85. Suppose 0 = 5*j + o, -4*a - j = -5*a + 46. What is the smallest common multiple of 36 and a?
396
Suppose 26*y - 6 = 23*y. Suppose s = 2*v - 28, -4*v - 5*s = -y*v - 40. What is the least common multiple of v and 8?
120
Let o = 2/391 - 14864/1173. Let k be 2 + (21275/60 - (-2)/(-8)). Let d = k - 353. Calculate the common denominator of o and d.
3
Let a = 112357 + -68425321/609. What is the common denominator of a and -77/290?
6090
Let a be -4 + (-21)/(-5) + (-16)/5. Let l be ((-1)/(-1))/(-1*a/6). Find the common denominator of -47/12 and l/4*268/12.
12
Let t = 115807 - 66929. Let o = -164718859/3370 + t. Let m = o - 56451/11795. Calculate the common denominator of 71/12 and m.
84
Suppose 17*x - 12*x - 55 = 0. Let j(a) be the third derivative of -a**4/24 + 11*a**2. What is the smallest common multiple of x and j(-1)?
11
Let f(w) = -4*w - 2. Let s be 1/((-2)/(-5))*-4. Let d be f(s). Suppose -46 + d = -y. Calculate the least common multiple of 11 and y.
88
What is the smallest common multiple of (200/140)/(115/27692) and 240?
10320
Find the common denominator of 3/((-29)/(4466/168)) and -87/806.
1612
Suppose 4*f - 3571 = -c, -2*f = -f + c - 889. Let s = -7189/8 + f. Find the common denominator of s and 49/9.
72
Let h = 470 + -476. What is the common denominator of 111/20 and (148/(-80) - -8) + h?
20
Let k = 1285/11 + -94089/814. What is the common denominator of 59/48 and k?
1776
What is the least common multiple of -1 + 1330/(-20)*(-100)/35 and 243?
1701
Suppose -4*a + 4 = 2*t, -t + 3*a = 7*a. Calculate the lowest common multiple of 52 and (-4)/(192/(-2004)) - (-1)/t.
1092
Suppose 4*o = -3*v + 305, v - 37 = 5*o + 33. What is the least common multiple of v and 160?
3040
Let l = 3 - -42. Let b = l + -42. Suppose y - 2*v = 9, -54 = -5*y + b*v - 2*v. What is the least common multiple of 12 and y?
132
Suppose 270 = 2*q - 7*q. Let k(u) = u**3 + 24*u**2 + 57*u - 52. Let i be k(-21). Find the common denominator of i/(-24)*(-3)/q*4 and -115/12.
108
Calculate the common denominator of 9/68 and 121/(-15) + (-56)/42 + -2.
340
Let o = 71128/3 + -379303/16. Find the common denominator of o and 11/(-80) - 2/(-10).
48
Suppose -129 + 138 = 3*g. Suppose -3*w = -r - 36, -g*r = -2*w + r + 34. What is the smallest common multiple of w and 9?
99
Let z(n) be the third derivative of -n**5/20 + n**4/24 - 2*n**3/3 - 6*n**2. Let d be z(2). Calculate the smallest common multiple of 1 and 1/(-3 - d/4).
2
Let t(o) = o**3 + 13*o**2 - 33*o - 13. Let a be -10 - (7 + -6 + (4 - 3)). What is the lowest common multiple of t(a) and 8?
4216
Let n = -127069639/4849479765 - -2/4825353. What is the common denominator of n and -77/45?
3015
Suppose d = -q + 22, 118 = 2*d + 3*d - 3*q. Calculate the common denominator of -20 + d - 10/12 and (-1)/6 + (-41)/33.
66
Let i = 48742 + -10528343/216. Find the common denominator of -50/81 and i.
648
Let j = 199 + -166. Calculate the common denominator of -51/22 and (j/(-90))/(12/(-30)).
132
Let u be (-40 - -8)/(-4) - 4. Suppose u*g - 235 = 205. What is the least common multiple of 22 and g?
110
Suppose -9*w + 5*w - 2*c = 190, 2*w - c = -97. Let a(i) = 5*i**2 + 6*i - 8. Let g be a(-6). Find the common denominator of (g/w)/(5/(-2)) and 29/12.
60
Suppose 8*n = -z + 6*n + 14, -2*n - 40 = -2*z. What is the least common multiple of 3/(z/210)*(-6)/(-5) and 77?
462
Let t(f) = 0*f - 10*f - f + 1266 - 2*f**2 - 1269. Calculate the lowest common multiple of t(-5) and 174.
174
Calculate the common denominator of 3/1196 and (-287)/10*57/(-3059).
5980
Let k = -129 + 131. Find the common denominator of -127/24 and -5 + 246/144*k.
24
Let j(x) = x**2 + 5*x. Let i be j(-5). What is the smallest common multiple of i + 8 - (2 + -2) and 34 + 180/18 + 12?
56
Let g = 8190/31 - 94611035/358112. What is the common denominator of -51/16 and g?
11552
Let x(o) = -77*o - 88. Let z be x(-4). What is the least common multiple of (1*14)/((z/(-33))/(-10)) and 63?
63
Suppose -30 - 14 = -4*q. Suppose 24 = 7*a - 4*a. Let j(s) = 3*s - 14. What is the lowest common multiple of j(a) and q?
110
Let h(u) = u + 20. Let a(g) = -g**3 - 7*g**2 + 5*g + 4. Let s be a(-8). Suppose 6*m - 52 = -s. What is the smallest common multiple of m and h(-12)?
8
Let y = -6070 + 6090. Calculate the lowest common multiple of 2962 and y.
29620
Suppose 4*i = -0*g - 4*g - 104, 4*g + i + 104 = 0. Calculate the least common multiple of 36 and g/(-4)*480/312.
180
Suppose 7*d - 3*d = -5*n + 108, 4*d = -4*n + 88. Suppose -14*h = 6*h - n. What is the smallest common multiple of h and 15?
15
Suppose -i - 3*k = -10, 0 = i + 4*k - 7*k - 10. Suppose 0 = f - 3, -f + i = 4*o + f. Calculate the smallest common multiple of 54*(-6)/(-18) - (10 - 1) and o.
9
Suppose 3*b - 45 = -2*g - 0*g, -51 = -3*b - 4*g. Suppose -b*a + 721 + 293 = 0. What is the lowest common multiple of 15 and a?
390
Let u = -57509/4 - -14398. Find the common denominator of u and 123/6670.
13340
Let x = 15807/4 + -1066963/270. Calculate the common denominator of x and -67/540.
540
Let x = -9/21463 + -1047097/10946130. What is the common denominator of 101/170 and x?
510
Let k = -290 - -168. Find the common denominator of -65/6 and k/4*(-11)/(-429).
78
Calculate the common denominator of ((-137)/222)/((102/(-136))/(6/16)) and -51/407.
4884
Let y be 78*-6*(-3 + 39/12). Calculate the common denominator of 1/2 - (-134)/(-20) and (-298)/20 + y/195.
10
Let d = -186034 - -2417137/13. Let b = d + 189311/1872. Calculate the common denominator of b and -61/18.
144
Let a = 91 + -10. What is the least common multiple of 18/(-24)*-4 + 1 + 1 and a?
405
Find the common denominator of 109/204 and 20/(-30) + 3370/5100 + 12/20.
1020
Suppose -4*h = 3*a - 2, -14 - 20 = -5*a + h. Let r be -3*((-64)/3 - 0). Suppose 9*g - r = 5*g. What is the lowest common multiple of a and g?
48
Let z(a) = 119*a + 4876. Calculate the least common multiple of 40 and z(-40).
1160
What is the lowest common multiple of (1 + 2)*102/306 and 913?
913
Let w = -171 + 173. Suppose w*u = -0*y - y - 5, -50 = -5*y + 5*u. Calculate the least common multiple of y and ((1 - -5) + -8)/((-2)/3).
15
Let n = 37418/43 + -69001501/79292. Find the common denominator of n and 39/5071.
20284
Suppose 5*v - 6155 = -5*r, 5*v - 6296 = -r - 133. What is the common denominator of -37/54 and (3/(-243))/((-6)/v)?
54
Calculate the common denominator of 109/1326 and 430/10*(-22)/528*4/(-91).
9282
Let u be -72*2/((-16)/(-2780)). What is the common denominator of (140/(-3))/(-3 - 3) and ((-2)/(-18))/((-15)/(u/8))?
18
Let c(f) = -f**3 + 21*f**2 - 66*f - 87. What is the lowest common multiple of c(15) and 351?
2457
Let p = 5/86612012 + -161739790881197/5629780780. Let a = p - -28730. What is the common denominator of a and -1/52?
260
Let d(m) = 9*m**2 + m - 16. Let b(i) = 8*i**2 + 2*i - 16. Let w(a) = 6*b(a) - 5*d(a). Let f be w(4). Find the common denominator of 13/18 and (1/f)/(8/496).
90
Calculate the common denominator of (22/55)/((-6)/(-65)) and 1/6*((-30420)/(-2850) + (-18)/(-10)).
114
Let s(m) = m**3 - 3*m**2 - m - 9. Let w be | {
"pile_set_name": "DM Mathematics"
} |
se 6?
-2402300
What is 1101010000110111011111 (base 2) in base 12?
11b8167
Convert 10020222110 (base 3) to base 4.
33222021
What is -122001120012 (base 3) in base 11?
-20a288
22143303 (base 5) to base 10
193578
Convert 4305c8 (base 13) to base 10.
1571864
What is -1971bb9 (base 13) in base 14?
-117d337
What is -5012005 (base 6) in base 2?
-111001011000000101
What is -1304446 (base 8) in base 4?
-1120210212
-3423 (base 16) to base 6
-141443
Convert -3b9635 (base 12) to base 16.
-f1f49
1b9123 (base 14) to base 7
11242443
What is 21614 (base 15) in base 14?
2a8b0
What is 3120661 (base 9) in base 10?
1667035
Convert 140402230 (base 5) to base 6.
23202312
-165855 (base 16) to base 15
-1ddd70
Convert 5955b (base 12) to base 2.
11101010011010111
1032454203 (base 6) to base 4
222021211323
Convert 34c99 (base 13) to base 7.
551464
Convert -337202 (base 8) to base 4.
-123322002
What is -1604484 (base 10) in base 3?
-10000111221100
What is 3554412 (base 7) in base 8?
1560004
What is -1867 (base 10) in base 4?
-131023
11112222110 (base 3) to base 8
257064
Convert -14254255 (base 6) to base 11.
-3048a8
What is 1b6622 (base 16) in base 7?
21156016
101132203 (base 4) to base 10
71587
Convert -307317 (base 8) to base 7.
-603440
-15072850 (base 9) to base 13
-1722525
-235360310 (base 7) to base 10
-14653457
What is c50255 (base 13) in base 7?
54042242
What is -2104330 (base 6) in base 10?
-102078
What is ab3c51 (base 13) in base 2?
1111011001010011001010
Convert 10143340 (base 5) to base 16.
148fc
Convert -12410533 (base 6) to base 15.
-803b9
10113414 (base 8) to base 4
20021130030
Convert -102023010 (base 4) to base 10.
-74436
What is 1234020201 (base 5) in base 12?
1022b47
What is -453893 (base 10) in base 7?
-3600206
What is 3a23cc (base 14) in base 11?
1149607
-1100100001001000010 (base 2) to base 3
-202211122210
Convert -10000100111111101010011 (base 2) to base 14.
-816279
What is 613187 (base 14) in base 16?
31f4b3
Convert -78b060 (base 12) to base 3.
-10121220001200
Convert -226621 (base 7) to base 14.
-10c11
-160523 (base 10) to base 4
-213030023
-73317 (base 11) to base 14
-2ad2d
What is -1114002024 (base 5) in base 16?
-25e99f
44314 (base 9) to base 13
1050a
Convert 10430120 (base 5) to base 13.
33171
Convert -22c4aad (base 14) to base 9.
-34223883
What is -14107b (base 12) in base 11?
-208702
-111022011100011 (base 3) to base 16
-6bdeb0
Convert -22034610 (base 8) to base 9.
-8813804
Convert -3201120213 (base 4) to base 2.
-11100001011000100111
Convert -3241216 (base 7) to base 14.
-a477d
-745455 (base 8) to base 12
-bba65
58a8a0 (base 11) to base 15
137866
Convert 2232301 (base 4) to base 6.
123441
What is -11321130321 (base 4) in base 11?
-966622
What is -5a29 (base 14) in base 5?
-1000332
What is 3e6899 (base 15) in base 7?
34401540
What is -102001201101 (base 3) in base 13?
-78172
Convert -a8856 (base 14) to base 3.
-202201100002
Convert -a20427 (base 12) to base 9.
-4676044
Convert 1132222030 (base 5) to base 13.
708306
Convert c4a16 (base 16) to base 6.
25132410
Convert -1101110010101001100 (base 2) to base 6.
-13404112
What is 135554024 (base 7) in base 8?
42020021
bb7405 (base 15) to base 7
135641123
What is -20150422 (base 7) in base 5?
-412113420
What is 39a8208 (base 12) in base 10?
11418920
-6123264 (base 7) to base 16
-b1e64
33321112 (base 6) to base 13
292b53
Convert -222263 (base 9) to base 6.
-2503133
What is 10a9005 (base 13) in base 12?
1876031
-6e6e8 (base 15) to base 7
-2665616
What is -42349 (base 11) in base 3?
-10010120001
Convert 40081 (base 13) to base 14.
2d95b
Convert b33b0 (base 15) to base 9.
1054833
What is -130202122 (base 5) in base 9?
-1162267
What is 530262 (base 7) in base 15?
1c120
What is -2001012020 (base 3) in base 6?
-510140
Convert -1706041 (base 10) to base 16.
-1a0839
14da94c (base 14) to base 10
10209512
Convert 3430142 (base 7) to base 16.
685c1
3220113022 (base 4) to base 12
39a94a
What is 12001202011101 (base 3) in base 6?
133405014
Convert -8d0a6 (base 15) to base 12.
-197a33
Convert 857d9 (base 14) to base 13.
b3ac3
Convert -19856 (base 12) to base 2.
-1001001010000010
103230302 (base 4) to base 2
10011101100110010
What is 26652206 (base 7) in base 3?
11122022120012
What is 134223 (base 5) in base 12?
3277
Convert a0993 (base 11) to base 2.
100100000010010001
What is -188350 (base 13) in base 2?
-10010110110111001001
79cb2 (base 13) to base 12
a8495
What is 11250310 (base 6) in base 15?
6d4e3
What is 119033 (base 10) in base 4?
131003321
Convert -230011233 (base 4) to base 6.
-3512023
Convert -2104331 (base 7) to base 15.
-5024b
Convert -bc0dd (base 16) to base 6.
-24302021
What is 1035315 (base 7) in base 12?
61406
Convert -1e930a (base 16) to base 5.
-1003104342
5061852 (base 12) to base 13
3172742
-9b9ac3 (base 14) to base 13
-1132992
-3317353 (base 10) to base 9
-6215487
Convert 334834 (base 16) to base 7.
40365211
-1678242 (base 10) to base 5
-412200432
Convert -3320321123 (base 4) to base 3.
-1220210110122
What is 1542213 (base 8) in base 13?
126b5a
Convert -221110210011 (base 3) to base 14.
-d0a1c
Convert 7565644 (base 9) to base 7.
46333303
100110011011011001100 (base 2) to base 8
4633314
What is a27 (base 13) in base 2?
11010111011
-105762 (base 10) to base 9
-171063
1344145 (base 6) to base 13
28838
Convert -553525 (base 7) to base 5.
-11103313
Convert ed3f0 (base 16) to base 6.
32454520
Convert 23163366 (base 7) to base 5.
1010014340
10111011011100101 (base 2) to base 3
11212122120
101110001001001101111 (base 2) to base 3
2211211010202
What is 53630 (base 12) in base 10?
109764
What is 101001011000101011 (base 2) in base 7?
1304133
-260457 (base 10) to base 7
-2133231
Convert -8cb739 (base 13) to base 6.
-155315522
What is 22011020111 (base 3) in base 10?
160555
305452312 (base 6) to base 4
110100130310
-16147062 (base 9) to base 8
-36602163
Convert 27fa6 (base 16) to base 8.
477646
What is -448a4a (base 12) in base 15?
-169064
58256 (base 12) to base 10
117858
-1566403 (base 7) to base 8
-652353
-8573908 (base 11) to base 14
-20097cc
-103552245 (base 6) to base 14
-367ba5
37052 (base 13) to base 10
101129
Convert 2611583 (base 9) to base 7.
15053235
Convert 101221001221220 (base 3) to base 8.
26117451
Convert -4641578 (base 9) to base 11.
-1462a22
24131311 (base 6) to base 10
758491
What is -2933799 (base 10) in base 5?
-1222340144
301344244 (base 5) to base 8
4447515
-101200220112122 (base 3) to base 9
-11626478
Convert -1233220 (base 6) to base 10.
-66828
2203252 (base 6) to base 15
2272b
3c6c5c (base 15) to base 13
7aac03
What is -313317 (base 8) in base 15?
-20ccd
What is -111002111121 (base 3) in base 15?
-51554
What is -130232 (base 5) in base 3?
-20221200
-2699c2 (base 13) to base 2
-11100100010111101100
What is -122012102010 (base 3) in base 5?
-41313211
-223121313333 (base 4) to base 12
-3988713
-1502453 (base 7) to base 16
-3176c
What is -9673a9 (base 11) in base 13?
-422260
Convert -100001010010100101011 (base 2) to base 3.
-2001102101012
What is 1243266 (base 14) in base 12?
2b299a2
Convert 11541451 (base 6) to base 12.
15a887
-2320101330 (base 4) to base 14
-159112
2201210100120 (base 3) to base 13
3bb131
Convert 1054310 (base 6) to base 12.
27396
What is -63763 (base 12) in base 5?
-13140213
1001552041 (base 6) to base 16
9b2f39
What is 480215 (base 12) in base 11?
723739
Convert cb520 (base 16) to base 4.
3023110200
Convert a0ad3 (base 15) to base 4.
1330030122
What is 523819 (base 12) in base 3?
2102122021110
Convert -910027 (base 10) to base 2.
-11011110001011001011
71464 (base 8) to base 10
29492
-11636773 (base 9) to base 14
-a82bd0
What is 227ac (base 13) in base 6?
1202533
Convert -121210122120 (base 3) to base 7.
-2545113
1030023104 (base 5) to base 6
114530550
Convert 26447 (base 9) to base 14.
671d
Convert 1000010001 (base 3) to base 12.
b531
What is -2044566 (base 8) in base 6?
-15350154
What is 111c9 (base 15) in base 16?
d48e
64823 (base 12) to base 16
2059b
Convert -23605550 (base 9) to base 5.
-10422044100
-4293d3 (base 14) to base 11
-12aa185
What is -12343322 (base 6) in base 4?
-1202101202
100001101000011 (base 2) to base 9
25552
What is 1100000001101010111001 (base 2) in base 6?
151323121
1490766 (base 12) to base 6
225205010
What is -10156584 (base 9) | {
"pile_set_name": "DM Mathematics"
} |
Is t greater than or equal to m?
False
Let p(a) = -6*a**3 - 3*a**2 + a + 1. Let i be p(1). Let f be 386 - (i + 63/9). Which is smaller: -1 or f?
-1
Let a be (74 - 2) + (-11 - -8). Suppose -a + 13 = 7*v. Is v greater than -7?
False
Suppose 3*j = g - 5*g + 6*j - 4, 0 = -4*j. Is -20/403 less than g?
False
Let f be (-4)/(-12)*-8 + 3. Which is smaller: 1815 or f?
f
Let y be ((-294)/6)/7 - -502. Let n be (-4)/(-14) - (y/77)/(-9). Is -2/1573 less than or equal to n?
True
Let w = 14.038 - 14.038. Which is smaller: 2241 or w?
w
Let h(i) be the first derivative of 17*i + 22 + 1/2*i**2. Let p be h(-15). Which is smaller: p or 3/5?
3/5
Let h(c) = -11*c + 169. Let y be h(15). Suppose j + 0*f + 6 = 4*f, -y = 2*j - 4*f. Let k = 656/5 - 128. Is k less than j?
False
Let l be (26/(-6) - -4)*-3. Let b(o) = 12*o. Let m be b(l). Suppose 0 = -12*p - 0*p + m. Which is smaller: p or -1/51?
-1/51
Let h = 12195 - 12195. Is 1/2274 at least as big as h?
True
Let c = 1639/1064 + -17/152. Let n(j) = -10*j**2 + j + 1. Let r be n(-1). Let l be r/(-4)*(-10)/(-25). Is c at least l?
True
Let t(l) be the second derivative of -9*l + 21/2*l**2 + 0 - 2/3*l**3. Let f be t(7). Which is greater: f or -2?
-2
Let s be (-144)/3*5/(-4). Suppose -59*b - 31 = -s*b. Let d = -67 + 98. Do d and b have different values?
False
Suppose -3*j - 5*t - 116 = 0, -9*j - 3*t = -5*j + 162. Let s be (j/(-126))/(-2*1/36). Suppose 7 + 13 = -5*k. Is s at most k?
True
Let b be (467/(-2))/(7 - (-1336)/(-192)). Is b at least -5603?
False
Suppose -3 = 5*l - 23. Suppose 0 = -l*b - 3*s - 93, 3*s - 19 - 35 = 3*b. Is -2/15 less than or equal to b?
False
Suppose -4*p - 2*j - 71 = 63, 0 = 2*j - 10. Let b = 53 + p. Let f = -293 - -307. Is b bigger than f?
True
Let a = -1102359680/4117 + 267758. Which is bigger: 1 or a?
1
Let f(g) = 11*g**2 - 109*g - 1627. Let d be f(-15). Are 2484 and d unequal?
True
Let p = -36119/7 - -5140. Suppose 0 = -3*w + 5*u - 42 - 0, -4*u + 83 = -5*w. Do w and p have the same value?
False
Let z = -720.45 + 716. Let a = z - -4.5. Which is bigger: -0.05 or a?
a
Let j(w) = -2*w**2 + 180*w + 80. Let y be j(27). Is y at most as big as 3483?
True
Let r = -4.981 - -5.881. Is r bigger than -333?
True
Suppose -38 + 26 = -4*h. Let f be -3 - -2 - 3*h/(-12). Let o be (-1)/2 + 4/6. Is o greater than f?
True
Suppose 10*t + 5*y = 8*t - 59, 64 = -2*t - 4*y. Let v be (8/t)/((-138)/12719). Is v >= 17?
True
Let d = 7 + -9. Let m be (-10 - (3 + d))*-1. Is 12 at least m?
True
Suppose -5*c - 13*c = 1512. Let u be (-2)/c*23056/(-165). Let w = -8/63 - u. Is w less than or equal to 1?
False
Let z = -775 + 777. Suppose 3*y = 8*p - 10*p + 7, -2*p - 2*y = -z. Are -16/5 and p equal?
False
Suppose 5*w - 56*o - 4900 = -55*o, -3*o = -3*w + 2952. Is w greater than 979?
False
Let x be (-2)/(-144) - 0/1. Let s(q) = 10*q**2 - 2*q - 5. Let a be s(-1). Suppose -a*h + 12*h + 5 = 0. Which is bigger: x or h?
x
Let q = 12 + -8. Suppose 0 = -0*n - q*n + 8. Suppose -a - n*r + 10 = -6*a, 2*r = a - 6. Is a < -23/6?
True
Let p = 386/3 + -5164/15. Which is greater: p or -216?
p
Let u = 321/4 - 3499/44. Let x = u + -2/33. Is x less than -10/9?
False
Suppose -7672 = 23*s + 8336. Let l be s - (2 - 10/(-15)*-6). Which is greater: l or -693?
-693
Suppose -y + 90 - 94 = 0. Suppose 4*d = g - 22, 62 = 5*g - 0*g - 4*d. Suppose g*u = 7*u. Which is bigger: u or y?
u
Let r = 143.118 + -0.118. Let x = 102 - r. Let a = -40 - x. Are -1.7 and a unequal?
True
Suppose -t + v + 6 = 0, 2*t - t = -2*v + 3. Let h be (404/(-6))/((-140)/210). Let s = 106 - h. Is s less than t?
False
Suppose -3*f = 9, -4*m + 9 + 18 = -f. Let c = 74.483 + 1.817. Let o = -85.3 + c. Is o <= m?
True
Let x = 37877/75359 - 104/179. Is 1 < x?
False
Suppose -2*f + 547 = -5*l, -5*f - 82*l = -84*l - 1315. Which is smaller: f or 267?
f
Let x = 1058 - 1057.9. Let h = -1.08 + 0.6. Let y = h + 44.48. Which is smaller: y or x?
x
Let t be ((-3168)/(-112))/(-4 - (54/(-14) + 0)). Which is bigger: 1/6 or t?
1/6
Let q = 2.6 + -1.9. Let n = -1.65 + 0.85. Let t = n + q. Which is greater: t or 0.09?
0.09
Let v = -1/6788 - 20359/33940. Which is smaller: v or -31?
-31
Let b(h) = -2*h**2 - 5*h - 1. Let u be b(-2). Suppose -5*w = d - u, -3*w + 0 = d + 1. Is w bigger than 2/469?
True
Let p = -2666 + 2854. Which is smaller: p or 0.16?
0.16
Suppose s - 4*s = -y + 107, s = 2*y - 29. Let f = s + 76. Do f and 39 have different values?
False
Suppose 0 = -2*w + 6, 5*w = 4*s + 3*w + 2510. Let b = 188 + s. Which is smaller: -439 or b?
-439
Let t = 4/167 + 1658/501. Let z = 168005 + -168001. Which is smaller: t or z?
t
Let x(d) = -70*d - 7278. Let c be x(-134). Is c equal to 2102?
True
Let y be 605 - 3*16/24. Let z = -590 + y. Which is greater: z or 86/7?
z
Let c(x) = -10*x**3 + 172*x**2 - 45*x - 17. Let l be c(17). Which is smaller: -1027/5 or l?
-1027/5
Let z be (7 - -150183)/(-23) + 21. Is z != -6507?
True
Suppose -362 - 491 = -3*j + f, -f + 1427 = 5*j. Suppose -70*b + 71*b - 285 = 0. Is b != j?
False
Let w be (-234)/(-14) + 32/112. Suppose 0 = -42*r - w*r + 4779. Which is greater: 76 or r?
r
Let t(o) = -113*o - 2833. Let u be t(-57). Is u smaller than 3607?
False
Let q be ((-32)/28 + 0)*12/(-16). Is -5/4 at least q?
False
Suppose 0 = c - 5*v - 17, 5*c = 4*c + v + 1. Let u be ((-48)/40)/((-92)/(-30) + c). Is u bigger than 7?
False
Let i(l) = l**3 - 13*l**2 + 27*l - 21. Let s be i(11). Suppose -3*j = j - 3*c - 113, -3*j - c = -101. Let f = j - s. Is -24/7 < f?
True
Let h(n) = -86. Let v(q) = 2*q - 258. Let k(p) = -7*h(p) + 2*v(p). Let t be k(-20). Which is smaller: t or -30?
-30
Let d = 236/5 + -526/55. Which is smaller: 38 or d?
d
Suppose -3*w = 3*y - 12, 450 - 461 = -4*y - 3*w. Which is bigger: -6/41 or y?
-6/41
Let z be (((-192)/(-42))/(-8))/(2/(-14)). Suppose -39*y + 38*y + z = 0. Suppose -2 = 4*t + 5*u, -u = -y*t + 3*u + 16. Which is greater: t or -1/4?
t
Let t = -14.46 - -66.91. Let a = -52 + t. Let p = -0.4 + a. Which is smaller: -0.4 or p?
-0.4
Let j be (2152/(-2))/((-57)/(-228)). Let n = j + 21012/5. Is -101 < n?
False
Let n(q) = -5*q + 6. Let w be n(0). Let j be (w/(-18))/(((-532)/(-40))/7). Which is smaller: j or -1?
-1
Suppose 4*w = -y - 12, y + 3*w = 2*w - 6. Let f = -145 - -206. Let v = 58 - f. Is v != y?
True
Let s be 1/(37/(-105) + (-2)/(-5)). Suppose -m = 5*j + s, 3 = m - j - 6. Is m >= 4?
True
Let a be 70/(-30) + (-631)/(-228). Let d = -6919/532 + a. Is d at least -13?
True
Let t(b) = -b**3 - 5*b**2 - 6*b**2 - 21 + 5*b + 13*b**2 + 14*b. Let s be t(5). Let h = 362 - 3987/11. Which is greater: h or s?
h
Let a = -35.64 - -36. Let v = a + -0.305. Let j = -0.055 + v. Which is bigger: j or 0.22?
0.22
Suppose 5*w + g + 0*g = -75, -3*g = -15. Let p = w - -23. Let o(v) = 6*v + 15. Let n be o(p). Is 57 at most as big as n?
True
Let p = -806 + 302. Let q be 6*(-15)/p*(-12)/(-2). Let a = 9 - 8. Which is smaller: q or a?
a
Let o = -7359 - -7358. Let u be (-40)/(-12)*(-6)/(-4). Suppose 5*z - 15 = -5*b, 0 = -4*b + 11 + u. Is o at most as big as z?
True
Let c(o) = 119*o**2 + 1. Let m be c(1). Let x = -58863 + 411199/7. Let g = m + x. Is g < 3?
True
Let l be (-1)/(-3)*-2*(0 - 3). Let g be -20*((-3)/(-2))/1. Let o be l/3 + 3 + 86/g. Which is smaller: 0 or o?
0
Suppose 0 = 10*y - 15*y + 775. Let u = y - 6353/41. Let b = 182 + -183. Which is bigger: b or u?
u
Suppose 5*g = 4*g. Let q be (-8944)/2528 - (-84)/24. Is g != q?
True
Suppose -6*q + 13 = -5. Let n be 2*q + (-13 + 8 - 0). Which is greater: n or 2?
2
Let b = -234035 + 233971. Let k(l) = 16*l - 1. Let d be k(-4). Do b and d have the same value?
False
Suppose -4*j = -80 - 68. Let l = j + -5. Let u = 76 + -43. Do l and u have the same value?
False
Let q = -6844 + 7238. Does q = 384?
False
Suppose -m - 4*f + f = 0, m = -2*f - 4. Let v(u) = -3*u + 15. Let r be v(4). Suppose 7*l + 18 = -r. Which is greater: l or m?
l
Let z = -7841 - -7842. Is z < -1/4804?
False
Let c = 68 - 27. Let o = c + -75. Suppose 0 = 4*w + 56 + 80. Is w greater than o?
False
Let s(c) = -c**3 - 2*c**2 + 9*c + 5. Let w be s(-6). Suppose 38*k + w = 19*k. Suppose 4*m = -11 - 9. Is m greater than or equal to k?
True
Suppose 2160 = -25*m + 97*m. Is 4 at most as big as m?
True
Let y = -0.18 - -59.18. Let u = -0.38997 + -1.61003. Which is smaller: u or y?
u
Suppose -5*b + 65*j - 1265 = 64*j, 5*j = | {
"pile_set_name": "DM Mathematics"
} |
the closest to 0? (a) 0.3 (b) 2/3 (c) 1/5 (d) 3
c
Which is the closest to 0? (a) 5 (b) 1/23 (c) -1 (d) -2/3
b
What is the nearest to -11 in -0.2, -5, 2/3, -1/4?
-5
Which is the nearest to -2? (a) 0.1 (b) -0.2 (c) -2
c
What is the closest to 2/7 in -2, -0.1, 0, -0.21?
0
Which is the closest to -7? (a) 5 (b) 0 (c) 3/5 (d) 2
b
What is the closest to 1 in -0.4, 0.4, -31?
0.4
What is the closest to 0.4 in 10, 4, 5, -4?
4
What is the closest to -1 in 3, 10, -1?
-1
Which is the closest to 4? (a) 22 (b) 0.3 (c) 1
c
Which is the closest to -11? (a) 0.1 (b) -12 (c) -3/8 (d) 0
b
What is the closest to -1 in 14, -7, 3?
3
Which is the nearest to 0? (a) 0.1 (b) 2.1 (c) -4 (d) 5/6
a
Which is the closest to 6/7? (a) 0.2 (b) 4 (c) -3/7
a
Which is the closest to 6? (a) 2 (b) -1/4 (c) 5 (d) -2
c
What is the closest to 266.8 in 4, -0.5, 0.5?
4
Which is the closest to 0.2? (a) 9 (b) -1/8 (c) 3 (d) 5
b
Which is the nearest to -2/3? (a) -1 (b) 2.9 (c) 0.1
a
Which is the nearest to 2? (a) -2/9 (b) 4 (c) -0.2 (d) -0.02
b
Which is the nearest to 9? (a) -1/4 (b) -1 (c) -3 (d) 3/4
d
What is the closest to 32 in -5, -1/5, 3?
3
Which is the closest to -1? (a) 2/7 (b) -1/42 (c) 2
b
Which is the closest to 3? (a) 4 (b) -2 (c) 41
a
What is the closest to 3 in 0.5, 3, -0.97?
3
What is the nearest to 0 in 4, -0.5, 0, -28?
0
What is the nearest to 2 in -4, -1/2, -4/3?
-1/2
What is the closest to -1/4 in -0.3, -4, 1?
-0.3
Which is the nearest to 2? (a) 0 (b) -20 (c) 2
c
Which is the nearest to -0.1? (a) -3/2 (b) -1/8 (c) 20
b
Which is the nearest to 1/2? (a) -0.4 (b) -4 (c) 25/19 (d) 0
d
Which is the closest to -0.46? (a) 0.4 (b) -1 (c) 4
b
What is the nearest to 8 in 2/3, 3, 3/2?
3
Which is the nearest to 2/13? (a) 3 (b) 0.5 (c) 5 (d) 0
d
Which is the nearest to -2/7? (a) 13 (b) 17/2 (c) -0.4
c
What is the closest to -2/53 in 2, 2/23, -1/5, 0?
0
What is the nearest to -0.2 in 0.1, 2, -28?
0.1
Which is the closest to -1? (a) -30 (b) -0.2 (c) -0.4
c
Which is the closest to -0.1? (a) -2/3 (b) -2 (c) 0.4
c
Which is the nearest to 0? (a) -70 (b) -1/4 (c) -0.2
c
Which is the closest to -3/2? (a) 2/9 (b) -8 (c) 3
a
Which is the closest to 1? (a) 9 (b) 4 (c) 1/5 (d) 6
c
What is the closest to 1/5 in 0.1, 13, -0.5, 1/3?
0.1
Which is the closest to -0.2? (a) -4 (b) 0.3 (c) -2/17 (d) -203
c
Which is the nearest to -5? (a) -24 (b) -1 (c) 5 (d) 1
b
What is the nearest to -30 in 2/5, 0.2, 1?
0.2
What is the nearest to -1/4 in 2/5, 4/5, -0.1, 5?
-0.1
Which is the closest to -1/2? (a) -3/5 (b) -0.04 (c) 2/7 (d) -0.3
a
Which is the closest to 2? (a) 2/9 (b) 0.06 (c) -5
a
What is the closest to -0.1 in 7, -5/6, -29?
-5/6
What is the nearest to -12 in -0.1, -0.5, 1/5, -35?
-0.5
What is the closest to 2/13 in -0.1, 0.3, 0.01?
0.01
What is the nearest to -0.4 in -3/5, -1, -99/5, -1/4?
-1/4
Which is the nearest to 0.3? (a) -1/2 (b) -0.7 (c) 2/3 (d) -1/3
c
What is the nearest to 6 in 0.067, 3/5, 2/11?
3/5
What is the nearest to 2/5 in -1/6, 0.0716, 5?
0.0716
Which is the closest to 0? (a) 1 (b) 113 (c) -2
a
Which is the nearest to 1/3? (a) 9/4 (b) -3 (c) 2/13
c
Which is the nearest to -1? (a) 28 (b) 3 (c) -2/21 (d) -0.3
d
Which is the nearest to 76/5? (a) 1/3 (b) 2/9 (c) -0.3
a
What is the closest to 2/7 in 2, 5, 0, -2/3?
0
Which is the closest to 0.1? (a) 3 (b) 49 (c) 0.5
c
What is the closest to 0.3 in -1, 2/3, 4?
2/3
What is the nearest to 12 in 2/9, 2/5, -2?
2/5
Which is the closest to 1/41? (a) 0 (b) 2 (c) 3 (d) -0.5
a
What is the nearest to 2/7 in -2/7, -2, -1/5, -1/2?
-1/5
What is the nearest to -2 in -5, 3, 0.6, 0.06?
0.06
Which is the closest to 0? (a) 6 (b) -17 (c) -1 (d) -2/11
d
Which is the closest to 0.1? (a) -2 (b) 0.5 (c) 0.3
c
What is the nearest to -7 in 0.4, -2, 0.3, -3/7?
-2
Which is the closest to -1/39? (a) -2/11 (b) -2 (c) 3 (d) 2/3
a
Which is the closest to 0.1? (a) 0.09 (b) -3 (c) 0 (d) -1
a
Which is the nearest to 0? (a) 33 (b) -1/4 (c) -4
b
Which is the nearest to -0.1? (a) -10 (b) 81 (c) 5/3
c
What is the closest to 0 in 0.3, -4, 0.353?
0.3
What is the closest to 0 in 3/4, -0.03, -1/9, -0.1?
-0.03
Which is the closest to -5? (a) 1 (b) -2 (c) 0.5
b
What is the closest to 101.6 in -0.3, -2, -4?
-0.3
Which is the nearest to 2? (a) 3/2 (b) 1/2 (c) -0.2 (d) 0
a
Which is the closest to -1/2? (a) 6/11 (b) 0 (c) 1
b
What is the nearest to 2/11 in -1/3, -2, 7, 0?
0
Which is the nearest to 4? (a) -21 (b) -0.4 (c) 3
c
Which is the nearest to -0.3? (a) -1 (b) 0.3 (c) 1/4 (d) -0.5
d
Which is the closest to -9? (a) 1/2 (b) 28 (c) -1 (d) -0.5
c
Which is the nearest to -2/5? (a) -2129 (b) 1/2 (c) 3
b
What is the closest to 72 in 3, 2, 0.5, -0.1?
3
What is the closest to 1 in 70, -0.1, 5, -4?
-0.1
What is the nearest to 0 in -7/3, 4, 1, 5?
1
Which is the closest to -1? (a) -2/3 (b) -1.1 (c) -2/9 (d) -8
b
Which is the closest to 6? (a) 3 (b) 0.2 (c) -0.5
a
What is the closest to -2/19 in 1/5, -0.4, 0.11?
0.11
What is the closest to 2 in -2/19, -2, -2/13, -0.72?
-2/19
What is the nearest to 1/7 in 0.2, 3/4, -0.2, 2/5?
0.2
What is the closest to -3/286 in 4, 1/2, -1?
1/2
Which is the nearest to 0.1? (a) -2 (b) 2 (c) 12
b
Which is the nearest to 0? (a) -9 (b) 0 (c) 11/7 (d) -2
b
Which is the closest to 0.05? (a) 137 (b) -3/5 (c) 1
b
Which is the nearest to -0.1? (a) 5 (b) -0.035 (c) 0.4
b
What is the nearest to -5 in -5, 0.1, -0.14?
-5
What is the closest to 7 in -6, 0.1, 2?
2
What is the nearest to -28 in 3/5, 0, 5/8, 0.1?
0
What is the nearest to 0 in 0.3, -5, -1349?
0.3
What is the closest to -2 in -2/9, 38, 2/7?
-2/9
What is the nearest to -0.1 in -4, 1, -52.4?
1
Which is the closest to -0.07? (a) -0.06 (b) -0.6 (c) 10 (d) -3
a
Which is the nearest to 1? (a) -12 (b) -269 (c) -1 (d) -0.4
d
Which is the closest to 1? (a) 0 (b) 4/213 (c) 5
b
Which is the nearest to 0.1? (a) -20 (b) -0.37 (c) 0
c
What is the nearest to 1/6 in 0.4, -0.1, 2, 0.5?
0.4
What is the nearest to -1/8 in 5, 0.1, -5, 0.3?
0.1
What is the nearest to 6 in 0.1, 2/3, -14?
2/3
What is the nearest to -0.2 in 2, -1, 3/31, -2?
3/31
What is the nearest to 6 in 0.3, 1/4, 10?
10
Which is the closest to -13? (a) 0.08 (b) -0.4 (c) 0.4
b
What is the nearest to 1/4 in -4, 0.06, 4, 79?
0.06
What is the nearest to -0.1 in 0, -86, -1.4?
0
Which is the closest to 0.2? (a) -0.4 (b) -592 (c) -2
a
What is the nearest to -0.2 in 5, -3/5, 0.3, 52/5?
-3/5
What is the nearest to -1 in -0.043, 0, -0.5?
-0.5
What is the nearest to 2/3 in -48, -2, 0, 1.13?
1.13
What is the nearest to -0.11 in 0, 0.3, 4, 2?
0
Which is the closest to 0.76? (a) -2 (b) -3 (c) 4
a
Which is the nearest to -1? (a) 1 (b) 6 (c) -1/4
c
Which is the closest to -3? (a) 2 (b) -0.2 (c) -27
b
What is the nearest to 0 in -4/5, 0.03, -0.4, 0?
0
Which is the closest to 0.02? (a) -3 (b) 1/9 (c) -0.2 (d) 1
b
Which is the closest to -3/5? (a) 0.1 (b) 1 (c) -0.056
c
What is the closest to -2 in -2/3, 5, 2, -71?
-2/3
Which is the closest to 0.2? (a) 1 (b) -14/3 (c) 0.4 (d) 3/4
c
What is the closest to 12.9 in 0.5, 2/7, -1/5?
0.5
Which is the nearest to -0.1? (a) -2/3 (b) -0.3 (c) 36 (d) -2/47
d
What is the closest to -0.1 in -38/3, 0.2, 0.6?
0.2
What is the closest to -3 in -2, 4, 2?
-2
Which is the closest to 0.3? (a) 2 (b) 0.3 (c) -1/4 (d) -2/39
b
What is the nearest to 4 in -2/3, 5/2, -1/18, -2?
5/2
Which is the nearest to 0? (a) -2 (b) -1/6 (c) -20 (d) 4
b
What is the closest to -2 in -0.05, -2, -97?
-2
Which is the closest to 1? (a) -2/13 (b) 2 (c) 3/8 (d) 4/9
d
Which is the closest to 44? (a) -0.5 (b) 2 (c) -1
b
Which is the closest to -3? (a) -2/9 (b) 2 (c) 62 (d) 2/9
a
What is the closest to -0.1 in 1, 4, 2/3?
2/3
What is the closest to 1 in -3, -0.2, -2.3?
-0.2
What is the nearest to -16 in 0.5, -2/3, 4, 4/9?
-2/3
Which is the closest to 0? (a) -2 (b) -5 (c) 1/20
c
What is the closest to 1/4 in -20/7, -6, -2/11?
-2/11
What is the closest to 1/4 in 4, 2, -1/3, -0.3?
-0.3
Which is the nearest to 0.2? (a) 0.02 (b) -0.1 (c) 1.59 (d) -0.4
a
What is the closest to 1 in -1, 6, 9?
-1
Which is the nearest to -24/5? (a) -5 ( | {
"pile_set_name": "DM Mathematics"
} |
False
Let q(j) = 147*j**2 - 32*j + 211. Is q(6) a composite number?
True
Suppose t - 5 + 3 = 0. Suppose -2*y - 2 = -2*h, t*h = -3*y + h + 17. Suppose -3*z + y*z - 386 = 5*n, -z = 4*n - 377. Is z a prime number?
False
Suppose -c = -0*c + z - 7, -c - 2*z = -2. Let p be (32/(-6))/(c/(-270)). Let x = 261 - p. Is x prime?
False
Let f be (-161 + 8)/(3/2). Is f/(-85)*(-2110)/(-4) a composite number?
True
Let g(u) be the second derivative of -u**3/6 + u**2 + 10*u. Let b be g(2). Suppose -p + 65 = 4*z, b*p + 3*z = p - 72. Is p a composite number?
True
Suppose 0 = s + 5*n - 159, -2*n + 7*n = 15. Suppose r = -3*z + s + 317, -4*r = -5*z - 1878. Is r a composite number?
False
Let h = 6500 + -3067. Is h a composite number?
False
Suppose 3*c + 0*c = -3*o + 21, -5*o + 28 = 4*c. Is 14/(-98) + 21120/c a composite number?
True
Let q(d) = -7*d + 4. Let v(g) = -1. Let f(x) = q(x) + 2*v(x). Suppose 44 = -60*z + 56*z. Is f(z) a composite number?
False
Let x be -1 + -4 + 2 - -121. Let d be x - ((2 - 0) + 1). Suppose d = 4*t + 23. Is t composite?
False
Let p = -418 - -1382. Let t be (-2)/(-3) + (-5181)/9. Let l = t + p. Is l prime?
True
Let z = 19 + -24. Let u(x) = 7*x**2 + 5*x - 1. Is u(z) a composite number?
False
Suppose -5111 - 9260 = -7*u. Is u a composite number?
False
Suppose -5*k + 26115 = -4*m, 4*k - 3828 - 17085 = -m. Is k a prime number?
True
Suppose -5*h = 2*y - 1843 - 58, 4*y = 5*h + 3817. Is y composite?
False
Let i(o) = 6*o**2 - 12*o - 8. Let l be i(9). Suppose -5*c + 5*z - 2*z = 917, 2*c + 2*z = -l. Let m = 27 - c. Is m a prime number?
True
Let h = 390 - 195. Suppose -t = 2*t - h. Is t prime?
False
Suppose -4*a = -2*b + 1470, 3*b + 0*a - 2205 = -3*a. Let j = 1614 - b. Is j a prime number?
False
Let t(r) be the first derivative of -r**4/4 - r**3/3 + 2*r**2 + 9*r - 11. Is t(-5) composite?
False
Suppose -19*p = -w - 14*p + 63382, 0 = -2*w - p + 126753. Is w composite?
False
Suppose d - 55270 = -5*y + 4*d, d + 33166 = 3*y. Is y a composite number?
False
Let n = 216 - 138. Suppose -81*x = -n*x - 1791. Is x a prime number?
False
Let y be ((-148)/4 + -1)*13. Let w = y + 871. Is w a prime number?
False
Let d be 0/2 + 10/2 + 0. Suppose -3*b - 5*h = -1709, -3*h + 7*h - 2857 = -d*b. Is b prime?
False
Suppose 4*m - 2*d + 20 = 8, -5*m - 3*d = 4. Let b(s) = -5501*s - 5. Is b(m) composite?
True
Suppose 8*n + 279 = 5*n. Let i = 118 - n. Is i composite?
False
Suppose 0 = -2*k - 2*m + 4, -2*k - 6 = -5*k - 2*m. Suppose 0 = i - k*i + 435. Suppose 0 = -2*w - w + i. Is w a prime number?
False
Suppose -3*n = n - 4*g - 58788, 5*n + 2*g - 73457 = 0. Is n prime?
False
Suppose 9*b - 32 - 4 = 0. Suppose 0*c = 5*v + b*c - 6819, 0 = 5*v - 2*c - 6813. Is v prime?
False
Let m(j) = -j**3 - 12*j**2 - 10*j + 1. Let p be m(-10). Let o = 145 + p. Is o a prime number?
False
Let b be (9 + (2 - 2))*-1. Let q be 2/((12/(-4))/b). Let x(m) = 4*m**2 - 1. Is x(q) a composite number?
True
Let r be (196/12)/(3/(-108)). Let w = -281 - r. Is w prime?
True
Suppose -d - 5 = -2*d, -2*d = 4*n - 82. Suppose 2*c - n = c. Suppose 0 = -2*y + m + c, 5*m + 13 = -y - 0*y. Is y a composite number?
False
Suppose 13248 = 4*v + 2*i, -5*i + 9*i = v - 3321. Is v composite?
False
Let f = -1155 + 2113. Is f composite?
True
Is ((-102)/8)/(165/(-148060)) prime?
False
Suppose 0*z - 32*z = -1280352. Is z a composite number?
True
Let f = -20 - -26. Let z(t) be the third derivative of -t**6/120 + 2*t**5/15 + t**4/6 - t**3/6 - 5*t**2. Is z(f) composite?
True
Let q(i) = i**3 + 5*i**2 + 3*i - 1. Let f be q(-4). Suppose -1690 = -5*p + 5*z, 2*z + 143 + 870 = f*p. Is p a composite number?
False
Suppose 3*h - 4*s + 836 = -212, 4*h + 2*s + 1368 = 0. Let x = h + 2317. Is x a composite number?
False
Let w = -131 + 246. Suppose -2*j = -1 - 5. Suppose j*m - w = 2*m. Is m composite?
True
Let x = -9 + -21. Is 2/(-5) + -2*801/x a prime number?
True
Let y(l) = 2*l - 15. Let t = 23 - 13. Let a be y(t). Suppose q - 79 = 2*c - 0*c, -2*q + 153 = -a*c. Is q a prime number?
True
Suppose 0 = 4*i - 3*i - 4. Let w = 9 - i. Let k(c) = 6*c - 8. Is k(w) a prime number?
False
Suppose 0*h = 10*h - 41270. Is h a composite number?
False
Suppose -42*w - 3*w + 2215845 = 0. Is w prime?
False
Let x(a) = -a - 16. Let n be x(-19). Suppose -j = -5*v + 1169, 0*j + 944 = 4*v - n*j. Is v a composite number?
False
Let p(g) = -17*g**3 - 154 - 2*g**2 + 21*g**3 + 155. Suppose 5*i = 15 - 0. Is p(i) prime?
False
Let o(j) be the first derivative of j**4/4 - 14*j**3/3 - 8*j**2 + 20*j + 2. Let h be o(15). Is 5 - h - 382/(-2) a composite number?
False
Let v be (-74)/(-9) - (-2)/(-9). Suppose 3*w - v = 1. Suppose t - 158 = -u, -w*t + 155 = -2*t + 2*u. Is t composite?
True
Let g = 7166 + -2232. Is g prime?
False
Let p = 1360 - -10541. Is p composite?
True
Let v be (-3)/((-4)/(-20)*30/(-4)). Suppose -4605 = -n - v*n. Is n prime?
False
Let u(z) be the third derivative of -1/12*z**4 + 1/12*z**5 + 3*z**2 + 0 + 2*z**3 + 1/120*z**6 + 0*z. Is u(-5) a prime number?
False
Let g = -3 - -8. Suppose 4*w + 5*f = -8, -w - 2*w - 11 = g*f. Suppose q - w = -0*q. Is q a composite number?
False
Suppose 0 = -5*m + 2*t + 71258 + 11551, m - 16551 = -5*t. Is m composite?
False
Let w = 7172 + 565. Is w prime?
False
Let f = -78 + 115. Let x = f - 26. Let v = x + 8. Is v a prime number?
True
Let j = -2462 - -10741. Is j a prime number?
False
Let g = -6820 + 10133. Is g a prime number?
True
Suppose -4413 = -3*r + 3*f, 0 = r + 2*f + 3*f - 1471. Is r a composite number?
False
Let o(v) = -v**3 - v**2 + v. Let g(q) = 11*q**2 - 9*q + 3. Suppose -2*r + 2 - 4 = 0. Let m(a) = r*g(a) - 6*o(a). Is m(3) composite?
True
Let u = 350 - 115. Suppose 4*t - 2*y + 7*y = 976, t - y = u. Is t prime?
True
Is ((-85)/34)/(1/(-8222)) composite?
True
Let o(r) = -3*r - 4. Let l = 8 + -10. Let m be o(l). Suppose -282 = -m*k - 4*b, -3*k + 4*b = 41 - 424. Is k a prime number?
False
Suppose 3*p = -2*p - 5*y + 4580, 4*p + 2*y = 3658. Is p composite?
True
Let b(d) = 14*d**2 - 5 + 6*d + 17*d**2 - 23*d**2 + d**3. Let i be b(-7). Is 13 + 7 + i*1 composite?
True
Suppose -4*t = 5*t - 36. Let w be -10*((-10)/4 - -2). Is (t + (w - -4))/1 composite?
False
Suppose -u = -20 - 4. Suppose 16 = -4*z, 4*w - 5*z = 6*w - u. Is w composite?
True
Let y be (-2)/((-1)/8*2). Suppose 10*a - y*a - 218 = 0. Is a composite?
False
Let w = 15818 - 9129. Is w composite?
False
Suppose -q + 7288 = 5*c + 2518, -5*q - 4800 = -5*c. Is c prime?
False
Let q = -71 - -7. Let t = q - -290. Is t prime?
False
Suppose -2*l + 215 = 3*l. Let d = -19 - -22. Suppose -2*x + d*a - l = -419, 2*a + 760 = 4*x. Is x composite?
False
Let m(n) = 4*n + n**2 + 20 + 0*n**2 + 11*n + 1. Is m(-15) a composite number?
True
Let w(m) = -7*m - 2. Let l(a) = 20*a + 5. Let g(j) = -6*l(j) - 17*w(j). Let o be g(2). Suppose -5*b = 4*u - 86, -o*b + 36 = -0*u + 2*u. Is b a prime number?
False
Let p(d) = 3*d**3 - 6*d**2 - 8*d - 3. Let l be p(-3). Let x = l - -237. Is x prime?
False
Suppose -4077 = -4*h - 2*j + 15375, -2*h + 2*j = -9714. Is h a prime number?
True
Let n(c) be the first derivative of -7*c**2/2 + 17*c + 1. Let u(q) = q - 2. Let h be u(-12). Is n(h) prime?
False
Let b(p) = p**3 - 5*p**2. Let z be b(5). Let w(l) = -11*l + z - 29*l + 9. Is w(-7) a prime number?
False
Suppose 3*w + 0*d = 5*d, -5*w - 5*d = -40. Suppose -6*b - 3195 + 8721 = 0. Suppose -w*n - 3*k = -913, -5*n = k - 0*k - b. Is n a prime number?
False
Let h(s) = 3*s**2 + 4*s - 13. Let w be h(-3). Suppose -325 + 843 = w*v. Is v composite?
True
Let f = 49 + 61. Let n(a) = -a**2 + 18*a + 11. Let k be n(8). Suppose 0 = 3*i - f - k. Is i a composite number?
False
Let h(t) = 487*t**2 + 40*t - 35. Is h(16) a prime number?
False
Let x(m) = 2*m**3 - 4*m**2 + m + 29917. Is x(0) composite?
False
Suppose u - 145 = 2*u. Let q = u - -260. Suppose -5*m + 50 = -q. Is m a prime number?
False
Let b(r) be the second derivative of -r**5/20 + 23*r**4/12 - 17*r**3/6 - 12*r**2 + r - 1. Is b(19) composite?
False
Let m(v) = 108*v**2 - 13*v + 35. Is m(10) a composite number?
True
Let d(a) be the third derivative of -323*a**4/12 + 11*a**3/6 + a**2. Is d(-2) prime?
True
Let n(j) = j**2 - 12*j + 14. Let i be n(11). Suppose t = 5*a - 79 - 45, 3*a - 72 = i*t. Suppose a + 117 = 2*p. Is p prime?
True
Let z(d) = 21*d**2 - 19*d - 163. Is z(-15) prime?
False
Let b | {
"pile_set_name": "DM Mathematics"
} |
5 AM and 2:45 AM?
50
What is 573 minutes after 10:08 AM?
7:41 PM
What is 60 minutes before 2:39 AM?
1:39 AM
How many minutes are there between 6:59 PM and 1:44 AM?
405
How many minutes are there between 9:15 AM and 7:24 PM?
609
How many minutes are there between 9:05 AM and 1:15 PM?
250
How many minutes are there between 9:51 PM and 12:37 AM?
166
How many minutes are there between 5:35 AM and 8:26 AM?
171
How many minutes are there between 10:30 AM and 6:24 PM?
474
How many minutes are there between 2:12 AM and 11:53 AM?
581
What is 591 minutes after 6:41 AM?
4:32 PM
How many minutes are there between 3:09 AM and 8:24 AM?
315
What is 355 minutes after 6:00 AM?
11:55 AM
What is 342 minutes after 5:12 AM?
10:54 AM
What is 667 minutes after 5:51 PM?
4:58 AM
How many minutes are there between 4:07 PM and 1:10 AM?
543
What is 491 minutes before 9:34 AM?
1:23 AM
How many minutes are there between 8:42 AM and 3:51 PM?
429
What is 655 minutes after 5:05 PM?
4:00 AM
What is 385 minutes after 3:08 AM?
9:33 AM
What is 142 minutes before 4:54 AM?
2:32 AM
How many minutes are there between 12:27 AM and 12:13 PM?
706
What is 152 minutes before 4:52 AM?
2:20 AM
How many minutes are there between 4:25 AM and 1:49 PM?
564
How many minutes are there between 5:51 PM and 5:22 AM?
691
How many minutes are there between 4:08 AM and 12:29 PM?
501
How many minutes are there between 9:07 PM and 4:16 AM?
429
How many minutes are there between 6:40 AM and 7:16 AM?
36
How many minutes are there between 8:53 PM and 3:34 AM?
401
How many minutes are there between 7:00 PM and 2:08 AM?
428
What is 2 minutes before 10:51 AM?
10:49 AM
How many minutes are there between 5:56 AM and 4:42 PM?
646
How many minutes are there between 10:59 AM and 6:32 PM?
453
What is 410 minutes before 4:58 AM?
10:08 PM
How many minutes are there between 8:19 PM and 7:21 AM?
662
How many minutes are there between 9:06 AM and 1:20 PM?
254
What is 525 minutes after 3:18 AM?
12:03 PM
What is 14 minutes after 5:41 PM?
5:55 PM
How many minutes are there between 11:24 AM and 6:34 PM?
430
What is 130 minutes before 6:07 AM?
3:57 AM
How many minutes are there between 4:11 PM and 10:23 PM?
372
How many minutes are there between 2:53 AM and 3:26 AM?
33
How many minutes are there between 5:18 AM and 4:28 PM?
670
How many minutes are there between 3:05 PM and 5:29 PM?
144
How many minutes are there between 8:49 AM and 4:59 PM?
490
What is 706 minutes before 10:26 AM?
10:40 PM
How many minutes are there between 5:15 PM and 3:43 AM?
628
What is 181 minutes after 2:33 AM?
5:34 AM
How many minutes are there between 8:08 PM and 5:11 AM?
543
What is 630 minutes before 4:40 PM?
6:10 AM
What is 445 minutes before 10:44 PM?
3:19 PM
How many minutes are there between 9:05 AM and 8:34 PM?
689
What is 91 minutes before 12:05 PM?
10:34 AM
What is 675 minutes after 9:50 AM?
9:05 PM
How many minutes are there between 6:09 AM and 8:47 AM?
158
What is 708 minutes after 5:18 PM?
5:06 AM
How many minutes are there between 10:11 PM and 4:25 AM?
374
How many minutes are there between 8:01 AM and 4:24 PM?
503
What is 689 minutes after 5:39 PM?
5:08 AM
How many minutes are there between 10:24 AM and 12:34 PM?
130
How many minutes are there between 5:23 AM and 1:31 PM?
488
How many minutes are there between 1:18 PM and 12:49 AM?
691
How many minutes are there between 4:27 AM and 5:18 AM?
51
What is 342 minutes before 2:14 PM?
8:32 AM
How many minutes are there between 1:59 AM and 9:42 AM?
463
How many minutes are there between 11:23 PM and 12:39 AM?
76
How many minutes are there between 5:14 PM and 6:36 PM?
82
What is 20 minutes before 7:59 AM?
7:39 AM
What is 457 minutes after 8:17 AM?
3:54 PM
What is 71 minutes before 1:16 PM?
12:05 PM
What is 127 minutes after 4:29 AM?
6:36 AM
How many minutes are there between 5:42 PM and 8:47 PM?
185
What is 627 minutes after 6:34 PM?
5:01 AM
What is 672 minutes after 8:22 PM?
7:34 AM
How many minutes are there between 1:33 AM and 3:05 AM?
92
What is 474 minutes before 8:15 PM?
12:21 PM
What is 101 minutes after 3:38 AM?
5:19 AM
How many minutes are there between 5:32 PM and 12:41 AM?
429
What is 367 minutes after 3:47 AM?
9:54 AM
How many minutes are there between 6:26 AM and 9:21 AM?
175
What is 677 minutes before 6:15 PM?
6:58 AM
How many minutes are there between 12:53 AM and 1:18 AM?
25
What is 56 minutes before 11:29 AM?
10:33 AM
How many minutes are there between 4:08 PM and 4:33 PM?
25
What is 458 minutes before 12:02 AM?
4:24 PM
How many minutes are there between 8:09 AM and 10:16 AM?
127
How many minutes are there between 3:36 PM and 1:20 AM?
584
What is 699 minutes after 9:43 AM?
9:22 PM
What is 376 minutes after 1:25 PM?
7:41 PM
What is 655 minutes after 4:04 PM?
2:59 AM
What is 250 minutes before 2:10 AM?
10:00 PM
How many minutes are there between 8:02 AM and 3:39 PM?
457
How many minutes are there between 11:09 AM and 1:44 PM?
155
What is 697 minutes before 10:31 AM?
10:54 PM
What is 491 minutes before 6:26 AM?
10:15 PM
How many minutes are there between 2:07 PM and 1:17 AM?
670
How many minutes are there between 1:00 PM and 2:47 PM?
107
How many minutes are there between 10:37 PM and 5:02 AM?
385
How many minutes are there between 9:52 AM and 5:39 PM?
467
How many minutes are there between 9:39 AM and 6:59 PM?
560
What is 323 minutes after 3:15 AM?
8:38 AM
What is 310 minutes before 12:51 PM?
7:41 AM
What is 128 minutes after 2:40 PM?
4:48 PM
What is 524 minutes after 1:49 AM?
10:33 AM
What is 514 minutes after 12:41 PM?
9:15 PM
How many minutes are there between 10:29 AM and 10:38 AM?
9
What is 420 minutes after 12:54 AM?
7:54 AM
What is 318 minutes before 4:51 PM?
11:33 AM
What is 51 minutes after 4:50 AM?
5:41 AM
How many minutes are there between 1:13 PM and 1:08 AM?
715
How many minutes are there between 4:30 AM and 9:55 AM?
325
What is 463 minutes after 11:23 PM?
7:06 AM
What is 490 minutes after 11:16 AM?
7:26 PM
How many minutes are there between 5:46 AM and 4:46 PM?
660
What is 62 minutes after 1:35 AM?
2:37 AM
What is 631 minutes after 4:38 AM?
3:09 PM
How many minutes are there between 9:31 PM and 10:21 PM?
50
What is 149 minutes before 7:47 AM?
5:18 AM
What is 104 minutes after 3:48 PM?
5:32 PM
How many minutes are there between 10:30 PM and 7:28 AM?
538
What is 667 minutes before 2:10 PM?
3:03 AM
How many minutes are there between 7:22 PM and 11:25 PM?
243
What is 636 minutes after 11:19 PM?
9:55 AM
What is 327 minutes before 1:18 AM?
7:51 PM
How many minutes are there between 8:04 AM and 8:40 AM?
36
How many minutes are there between 5:52 AM and 8:43 AM?
171
What is 430 minutes after 1:52 AM?
9:02 AM
How many minutes are there between 5:57 AM and 1:43 PM?
466
What is 211 minutes before 6:22 PM?
2:51 PM
What is 186 minutes after 10:49 PM?
1:55 AM
How many minutes are there between 9:34 PM and 2:23 AM?
289
How many minutes are there between 5:37 AM and 12:08 PM?
391
What is 618 minutes before 11:29 AM?
1:11 AM
What is 456 minutes before 3:35 AM?
7:59 PM
What is 669 minutes before 1:54 PM?
2:45 AM
What is 697 minutes after 5:03 AM?
4:40 PM
How many minutes are there between 3:30 AM and 4:59 AM?
89
How many minutes are there between 3:00 AM and 2:44 PM?
704
How many minutes are there between 5:46 AM and 10:11 AM?
265
What is 89 minutes before 8:28 PM?
6:59 PM
What is 202 minutes before 12:39 PM?
9:17 AM
What is 103 minutes after 3:25 PM?
5:08 PM
How many minutes are there between 1:33 AM and 4:47 AM?
194
What is 313 minutes before 8:56 AM?
3:43 AM
How many minutes are there between 1:22 AM and 5:47 AM?
265
What is 391 minutes before 3:44 PM?
9:13 AM
What is 154 minutes after 8:00 AM?
10:34 AM
What is 97 minutes before 1:51 AM?
12:14 AM
What is 321 minutes before 5:43 AM?
12:22 AM
How many minutes are there between 1:54 AM and 1:44 PM?
710
How many minutes are there between 9:51 PM and 10:02 PM?
11
How many minutes are there between 8:58 PM and 9:34 PM?
36
What is 33 minutes after 6:24 PM?
6:57 PM
What is 111 minutes before 5:51 AM?
4:00 AM
How many minutes are there between 9:24 PM and 2:13 AM?
289
How many minutes are there between 7:59 AM and 11:10 AM?
191
What is 532 minutes after 1:41 AM?
10:33 AM
What is 98 minutes after 9:50 AM?
11:28 AM
How many minutes are t | {
"pile_set_name": "DM Mathematics"
} |
e (-3 - (1 + 1))/(-1). Suppose t + 2 = -3*p, -x*p = -3*t - 3 + 25. Suppose 15 = 3*o, -o - 7 = -t*l - 0. Which is bigger: l or 4?
4
Let b = -42 - -708/17. Which is bigger: 0 or b?
0
Let o be (-3 + (-1360)/(-469))*-3. Let t = o + -1/67. Let h = 2 + -1. Is h > t?
True
Suppose 0*g = 4*g - 4. Let v(u) = u**2 - 6*u - 3. Let p be v(6). Which is smaller: p or g?
p
Let u be 19/7 + 2/7. Let f be 1/u - 10/12. Suppose 0*j - 2 = 2*j. Is f < j?
False
Let o = -4.2 - -4. Suppose 5*r = -2*j - 6, -5*r + 5*j + 4 + 11 = 0. Is o < r?
True
Let c = -22 + 33. Which is smaller: 9 or c?
9
Let l be 0 + 1 - (3 + -3). Suppose -w = 3 - l. Let p be w/(-5)*5/(-6). Are p and -1 unequal?
True
Let q = -118 + 828/7. Let n be 1/5*-7 - -2. Which is bigger: q or n?
n
Let l(c) = c**3 + 3*c**2 + 2*c + 3. Let j be l(-3). Let a be ((-2)/j)/((-56)/(-21)). Which is greater: -1 or a?
a
Suppose -14 = -4*w + 2. Suppose 0*h = -2*h + 5*t, t = -w*h. Let m = 1 + h. Which is smaller: 3 or m?
m
Let y be -2*((-3)/(-18))/1. Let t be (-4)/16 + 1/2. Is y greater than t?
False
Let h = 21.075 - -0.025. Let v = -20 + h. Let u = 1 - v. Is 1 smaller than u?
False
Let r(u) = -2*u + 0 + 2 - 1. Let m be r(-1). Is m > 1?
True
Let z(s) = s. Let y(f) = -5*f + 6. Let n(i) = y(i) + 6*z(i). Let w be n(-7). Let b be 0 + 0 + (-8)/28. Are w and b nonequal?
True
Let p(h) = -h**3 + 6*h**2 - 9*h + 21. Let y be p(5). Are -2/287 and y equal?
False
Let u be 5/8*2*(-630)/(-50). Is 16 less than u?
False
Suppose -2*z = 5*n + 56, 4*n + 47 - 159 = 4*z. Which is greater: z or -27?
-27
Suppose 5*v + 7 - 2 = 0. Does v = -1?
True
Let d = 24422/22407 - -2/2037. Is 2 less than or equal to d?
False
Let d = -17 + 30. Which is smaller: d or 12?
12
Let o be 2 - ((3 - 2) + -2). Let n be -1 - (2 - o - 1). Let j = 2 - n. Is 0 greater than j?
False
Let m = -3 - -1. Let o = 6 - 4. Let c be (0 + -2)/(o + 2). Is m greater than or equal to c?
False
Let w be ((-10)/(-25))/(14/(-10)). Let h(s) = -s**2 + s. Suppose g = -1 + 2. Let o be h(g). Is o at most as big as w?
False
Let m = -4 + 2. Suppose -a = -6*a + 15. Suppose -2 = -d + 3*x, a*x + 1 = 2*x. Which is greater: m or d?
d
Let a = 0.04 - 0.14. Is -16 less than a?
True
Let y = 51 - 52.8. Which is smaller: -1 or y?
y
Suppose 6*o + 24 = 2*o. Let i be (4/(-3))/(o/(-9)). Which is smaller: -3 or i?
-3
Let c be ((-25)/(-2))/((-1)/4). Let y be 10/(-8)*(-4)/c. Which is bigger: 1 or y?
1
Suppose 3*a - 11*a - 224 = 0. Does a = -1/4?
False
Let u = -13 - -14. Is u at most -1/6?
False
Let c be -2 + (-27)/(-6) + -1. Let m = -8 + 10. Which is smaller: m or c?
c
Let j(u) be the third derivative of -u**6/120 + u**5/10 - u**4/24 - 7*u**3/6 - u**2. Let v be j(6). Is -14 at most v?
True
Suppose -4*x - 16 + 4 = 0. Which is bigger: x or 0?
0
Let p(w) = w**2 + 7*w. Let t be p(-7). Which is greater: 0.01 or t?
0.01
Let w = -6 - -10. Suppose w*x = 2*k - 78, -2*x = -2*k + 72 + 12. Suppose 5*o + 0*u = -5*u - k, -5*u - 25 = 0. Is -3 >= o?
True
Let k be -1*(-1 + 36/30). Suppose 4*f - 12 - 8 = 0. Let i(c) = c**3 - 5*c**2 - c + 4. Let s be i(f). Which is greater: k or s?
k
Suppose 0 = -n - 10 - 5. Let q = n - -43/3. Is 9 greater than q?
True
Let d(y) = -5*y**2 - 1. Let u be d(-1). Let m be 7 + u + (-3 - -6). Suppose 4 = 4*p - m. Are 2 and p unequal?
False
Let l be ((-2)/(-5))/((-5)/(-50)). Is l < 6?
True
Let l = -4 + 6. Let u be l/(-1)*(-2)/4. Let b(v) = v + 5. Let y be b(-4). Are y and u unequal?
False
Let t = 8 - 7. Is 4/13 at most as big as t?
True
Suppose 0 = -52*y + 56*y - 44. Is 88/9 bigger than y?
False
Suppose -34*d = -36*d - 10. Let q(z) = -2*z**3 + 3*z**2 - z + 1. Let l be q(2). Is d less than l?
False
Let z = 8727/29 - 301. Let d(b) = -b**2 + 9*b - 7. Let l be d(8). Are z and l nonequal?
True
Suppose -3*u + u - 2 = h, -2*u - 2*h - 4 = 0. Suppose -4*t + x = 3*x, 2*t + 3*x = u. Suppose -4 = 5*j + a - 0*a, 2*a + 8 = 0. Is t not equal to j?
False
Let m be (-1 - -1) + (-1)/6. Let a be (62/10)/((-6)/15). Let v = a + 15. Are m and v nonequal?
True
Let d be (-1)/3 - 4/(-9). Suppose 6*g = g + 80. Let p be (-12)/g + 1/(-4). Is d at most as big as p?
False
Let u be (-1)/(-7)*(-1)/(-7). Is 0 less than or equal to u?
True
Let j be (2 - 0) + 2/2. Suppose 0 = 8*w - j*w. Let a = 540/7 + -77. Which is smaller: w or a?
w
Let c = 0.6 - 0.7. Let h = 7.9 - 7. Let y = h + 0.1. Which is bigger: c or y?
y
Let b = -14 - -14. Which is smaller: b or 22?
b
Let u = 0 + -0.1. Let o = -2 - -0.8. Let k = o - -0.2. Which is bigger: u or k?
u
Let x be (-8)/(-20) + (-1)/65. Let r = x - 2/39. Are 0 and r equal?
False
Let x = 40/7 + -6. Let v = 34 - 33.6. Do v and x have different values?
True
Suppose -19*p = -4*p - 810. Which is smaller: 56 or p?
p
Let q be ((-8)/6)/((-2)/(-3)). Is -4 greater than or equal to q?
False
Let n be (1/2)/(2/4). Suppose -6*f + f - 15 = 0, 2*f = 4*z - 10. Is n <= z?
True
Let z be 36/46*((-30)/(-18) + -1). Which is bigger: z or 1?
1
Let r = -0.3 + 0.1. Let n = -2.4 + 0.4. Is n at least as big as r?
False
Suppose 4*k = 10 + 2. Let j be (k/(-14))/(9/24). Which is bigger: -1 or j?
j
Let d(q) = q**2 - 9*q + 2. Suppose 7*x + 3*f - 28 = 2*x, -4*f - 24 = -x. Let l be d(x). Let h be (12/16)/(l/2). Is h less than or equal to -1/8?
True
Let p(f) = f + 14. Let l be p(-12). Let o be 6*8/21 - l. Is o less than or equal to 7/4?
True
Let u = 18 + -13. Let s(p) = 2 - 4 - 6*p + 5*p - 4. Let k be s(-11). Is k at most u?
True
Let z = 0 - -0.1. Let d = z - 0.1. Let h be (5 - 3)/(2 + (-3)/(-3)). Is d >= h?
False
Let y be ((-45)/(-27))/(4/(-6)) + 3. Let j be 0 - (-1 + (-11)/(-5)). Which is bigger: y or j?
y
Let c = 0.9 + -4.9. Let m = 4.2 + c. Is -1 greater than m?
False
Let b be 1 + 11/(11/6). Which is bigger: 8 or b?
8
Let f = 0 + 0.1. Let a be (-216)/(-462) - 4/14. Which is smaller: a or f?
f
Let b(h) be the third derivative of h**5/60 + h**4/8 - 5*h**3/6 + 2*h**2. Let a be b(-4). Which is smaller: -2 or a?
-2
Let x(p) = -p**3 + 6*p**2 + 6*p + 6. Let q be x(7). Which is bigger: q or -2?
q
Let k = -6 - -4. Let i = 0 - 0.1. Which is bigger: i or k?
i
Suppose 17 = -g + 58. Which is smaller: g or 40?
40
Suppose 0 = -6*a + 11 + 25. Which is greater: -0.1 or a?
a
Let d = 31 - 34. Which is smaller: d or 6?
d
Let i = -14223/25 + 569. Which is smaller: i or 0?
0
Let y = -5 - -5. Let v = y - 0.2. Let k = 16 + -31/2. Which is greater: v or k?
k
Let q = 0.06 - 0.26. Let p = 0.17 + q. Is p > 1?
False
Let z = 0.5 - 1.5. Let i = 4 - 4. Let v = i + -1. Is v >= z?
True
Let b be (-57)/(-38)*((-2)/12 - 0). Is b <= -7?
False
Let a = -299.7 + 287. Let k = 13 + a. Let b be ((-2)/(-6))/(1 - 0). Which is bigger: k or b?
b
Let h(j) = j**2 - 4*j - 7. Let q be h(5). Which is greater: q or -7/6?
-7/6
Let s be (-7)/((3 - -1)/8). Which is greater: s or -6?
-6
Let l = -7.8 - -8. Which is greater: l or 0.1?
l
Let s = 17295/16 - 191297/240. Suppose -9*k + 1420 = -4*k. Let u = s - k. Is 0 <= u?
False
Let s(d) = d + 2. Let l be s(-2). Which is smaller: l or -1?
-1
Let q = -100.97 + 102. Let z = -0.03 + q. Let f = 0.1 + -0.2. Which is smaller: f or z?
f
Let m = 7 + -7. Which is bigger: -2/15 or m?
m
Let o(k) = k**2 + 12*k. Let l be o(-9). Let x be (l/12)/((-3)/8). Is 7 greater than or equal to x?
True
Suppose 1 = q - 6. Let n be q - 4 - (-1 - -2). Suppose s = -5*i - 8 + 2, 3 = n*i - 5*s. Which is smaller: -5/4 or i?
-5/4
Let j(u) = -u**3 - 5*u**2. Let k be j(-5). Suppose 8 = -5*t + 9*t. Which is bigger: t or k?
t
Let p(b) = b - 10. Let l be p(7). Let z = 0.4 + -0.3. Is z > l?
True
Let x = 17/40 - 1/40. Which is smaller: -3/20 or x?
-3/20
Let s = -7025967937/1287 + 5459182. Let d = 4/429 - s. Which is greater: d or 2?
2
Let a be -4*(-5)/((-40)/(-6)). Suppose 0 - a = v. Does -2 = v?
False
Let a be 6/10 - (-2382)/5. Suppose 3*f - 93 = a. Let v = f - 1332/7. Is v bigger than 2/9?
False
Let y(k) = k**3 - 3*k**2 + 3*k - 2. Let v be y(2). Suppose b + 1 = -v. Suppose -2*s + 3*s + 3 = 0. Is b > s?
True
Let a(y) = y**3 - 4*y**2 - 4*y - 4. Let r be a(5). Let q be (r/4)/(7/28). Let f = -256 + 1284/5. Are q and f nonequal?
True
Let q = -7.95 + -0.05. Let t = -5 + 10. Let s = t + q. Is -1/4 less than s?
False
Suppose s + s = 0. Suppose -3*v + 7 = 4*j, 7*j - 4*j + 6 = s. Do 5 and v have different values?
False
Let q(u) = -u**3 + 6*u**2 + 11*u - 10. Let c be q(7). Let t be 4/1*3/c. Do 1 an | {
"pile_set_name": "DM Mathematics"
} |
eighth root of 21100 to the nearest integer?
3
What is 1656145 to the power of 1/2, to the nearest integer?
1287
What is the cube root of 12435382 to the nearest integer?
232
What is the square root of 1964456 to the nearest integer?
1402
What is the square root of 1685369 to the nearest integer?
1298
What is the ninth root of 335490 to the nearest integer?
4
What is 2780032 to the power of 1/3, to the nearest integer?
141
What is the third root of 1590850 to the nearest integer?
117
What is the third root of 4894504 to the nearest integer?
170
What is 11675311 to the power of 1/5, to the nearest integer?
26
What is the square root of 823944 to the nearest integer?
908
What is 3379513 to the power of 1/2, to the nearest integer?
1838
What is 355642 to the power of 1/4, to the nearest integer?
24
What is the square root of 707401 to the nearest integer?
841
What is 753998 to the power of 1/5, to the nearest integer?
15
What is 10264436 to the power of 1/3, to the nearest integer?
217
What is 816910 to the power of 1/2, to the nearest integer?
904
What is 343908 to the power of 1/2, to the nearest integer?
586
What is 3303490 to the power of 1/9, to the nearest integer?
5
What is 582768 to the power of 1/5, to the nearest integer?
14
What is the square root of 12971405 to the nearest integer?
3602
What is the square root of 303797 to the nearest integer?
551
What is the ninth root of 2140552 to the nearest integer?
5
What is the third root of 993047 to the nearest integer?
100
What is the third root of 996071 to the nearest integer?
100
What is the seventh root of 128119 to the nearest integer?
5
What is the cube root of 99077 to the nearest integer?
46
What is the cube root of 9459856 to the nearest integer?
211
What is the ninth root of 6498165 to the nearest integer?
6
What is the tenth root of 14804 to the nearest integer?
3
What is the tenth root of 1644798 to the nearest integer?
4
What is the third root of 28593100 to the nearest integer?
306
What is 6297032 to the power of 1/3, to the nearest integer?
185
What is the fourth root of 496158 to the nearest integer?
27
What is the tenth root of 25894041 to the nearest integer?
6
What is 59973 to the power of 1/2, to the nearest integer?
245
What is 8135987 to the power of 1/2, to the nearest integer?
2852
What is 5502172 to the power of 1/6, to the nearest integer?
13
What is the tenth root of 13652729 to the nearest integer?
5
What is the fifth root of 26688693 to the nearest integer?
31
What is 4703048 to the power of 1/2, to the nearest integer?
2169
What is 30084838 to the power of 1/3, to the nearest integer?
311
What is the fifth root of 828008 to the nearest integer?
15
What is 197819 to the power of 1/10, to the nearest integer?
3
What is the cube root of 979795 to the nearest integer?
99
What is 8731523 to the power of 1/2, to the nearest integer?
2955
What is the cube root of 1820411 to the nearest integer?
122
What is the tenth root of 411583 to the nearest integer?
4
What is the fourth root of 10716337 to the nearest integer?
57
What is the cube root of 1647407 to the nearest integer?
118
What is 6620401 to the power of 1/2, to the nearest integer?
2573
What is 157927 to the power of 1/3, to the nearest integer?
54
What is the cube root of 501289 to the nearest integer?
79
What is the ninth root of 316669 to the nearest integer?
4
What is the third root of 927832 to the nearest integer?
98
What is 265869 to the power of 1/9, to the nearest integer?
4
What is 255446 to the power of 1/2, to the nearest integer?
505
What is the fifth root of 400128 to the nearest integer?
13
What is the eighth root of 3343534 to the nearest integer?
7
What is 554352 to the power of 1/3, to the nearest integer?
82
What is the cube root of 52200 to the nearest integer?
37
What is the third root of 1408727 to the nearest integer?
112
What is the square root of 18704972 to the nearest integer?
4325
What is 2467011 to the power of 1/2, to the nearest integer?
1571
What is the sixth root of 1915808 to the nearest integer?
11
What is the cube root of 6692592 to the nearest integer?
188
What is the fourth root of 441976 to the nearest integer?
26
What is the cube root of 23006713 to the nearest integer?
284
What is the ninth root of 980631 to the nearest integer?
5
What is 999486 to the power of 1/4, to the nearest integer?
32
What is 176951 to the power of 1/3, to the nearest integer?
56
What is the cube root of 5038066 to the nearest integer?
171
What is 18317228 to the power of 1/3, to the nearest integer?
264
What is 1436674 to the power of 1/3, to the nearest integer?
113
What is the ninth root of 3903376 to the nearest integer?
5
What is the square root of 1325682 to the nearest integer?
1151
What is 18070710 to the power of 1/3, to the nearest integer?
262
What is the third root of 1261991 to the nearest integer?
108
What is the fourth root of 2224816 to the nearest integer?
39
What is 1898096 to the power of 1/3, to the nearest integer?
124
What is the cube root of 6986909 to the nearest integer?
191
What is the fifth root of 660918 to the nearest integer?
15
What is 1937522 to the power of 1/2, to the nearest integer?
1392
What is 59276 to the power of 1/8, to the nearest integer?
4
What is 752965 to the power of 1/3, to the nearest integer?
91
What is 7554231 to the power of 1/10, to the nearest integer?
5
What is 10273959 to the power of 1/3, to the nearest integer?
217
What is the cube root of 18542698 to the nearest integer?
265
What is the square root of 13096277 to the nearest integer?
3619
What is the tenth root of 300507 to the nearest integer?
4
What is the third root of 288310 to the nearest integer?
66
What is 2316843 to the power of 1/7, to the nearest integer?
8
What is 84148 to the power of 1/7, to the nearest integer?
5
What is the ninth root of 3017038 to the nearest integer?
5
What is the seventh root of 745076 to the nearest integer?
7
What is the square root of 20095117 to the nearest integer?
4483
What is 260654 to the power of 1/6, to the nearest integer?
8
What is the cube root of 22194944 to the nearest integer?
281
What is 3250099 to the power of 1/2, to the nearest integer?
1803
What is 2888005 to the power of 1/3, to the nearest integer?
142
What is 1321085 to the power of 1/2, to the nearest integer?
1149
What is 248791 to the power of 1/3, to the nearest integer?
63
What is the third root of 4866433 to the nearest integer?
169
What is 19832790 to the power of 1/3, to the nearest integer?
271
What is 189417 to the power of 1/9, to the nearest integer?
4
What is the seventh root of 89288 to the nearest integer?
5
What is the square root of 1294969 to the nearest integer?
1138
What is 936906 to the power of 1/2, to the nearest integer?
968
What is 2797354 to the power of 1/2, to the nearest integer?
1673
What is the cube root of 5952094 to the nearest integer?
181
What is the square root of 2478545 to the nearest integer?
1574
What is the cube root of 201564 to the nearest integer?
59
What is 1333499 to the power of 1/5, to the nearest integer?
17
What is 2692398 to the power of 1/10, to the nearest integer?
4
What is 8516094 to the power of 1/9, to the nearest integer?
6
What is 1892252 to the power of 1/2, to the nearest integer?
1376
What is the square root of 78321 to the nearest integer?
280
What is the square root of 2082927 to the nearest integer?
1443
What is the square root of 8002777 to the nearest integer?
2829
What is the tenth root of 4600136 to the nearest integer?
5
What is 260235 to the power of 1/5, to the nearest integer?
12
What is the fourth root of 113884 to the nearest integer?
18
What is the cube root of 2807726 to the nearest integer?
141
What is the cube root of 1538107 to the nearest integer?
115
What is the square root of 507055 to the nearest integer?
712
What is the cube root of 1050788 to the nearest integer?
102
What is 787027 to the power of 1/2, to the nearest integer?
887
What is 369576 to the power of 1/10, to the nearest integer?
4
What is 5260499 to the power of 1/2, to the nearest integer?
2294
What is the square root of 5543184 to the nearest integer?
2354
What is the third root of 2961755 to the nearest integer?
144
What is the | {
"pile_set_name": "DM Mathematics"
} |
y be (-17)/(-2) + 2/4. Suppose 4 = -z + y. Solve 0 = 4*l + o*h + 8, -2*l - z*h + 5 = l for l.
-5
Let c = 8 - 1. Suppose 0 = 6*v - c*v + 5. Solve 0*g - g + a = 5, v*g + 20 = 4*a for g.
0
Suppose -5*l - 20 + 60 = -5*s, 5*s + 90 = -5*l. Let o = s + 13. Suppose 5*v - 41 - 9 = o. Solve -4*z - 4*t - 11 = z, -2*t - v = -2*z for z.
1
Let y = 23 + -23. Suppose -3*x - x = -5*p - 124, -4*p + 3*x - 99 = y. Let c = p + 27. Solve 0 = 3*m + c*t - 15, -5*m = -3*t + 5*t - 25 for m.
5
Let j(s) = 4*s**2 + 17*s - 18. Let y be j(1). Solve -y*k = -5*i + i + 19, 0 = -4*i + 4 for k.
-5
Let d(x) = x + 11. Let j be d(-10). Let v be (-1 + j)/(3 + -1). Solve v*w - 3*i = -4*w + 24, 5*w - 7 = -2*i for w.
3
Let c = -19 + 20. Let j be (c + 8)/((-3)/2). Let i be (j/7)/(24/(-112)). Solve -35 = 4*w - 3*z - 2*z, 2*w + i*z = 2 for w.
-5
Suppose 3*q - 5 - 4 = 0. Suppose 3*n + 11 = 2*v - 32, 0 = -5*v + 10. Let y(k) = 2*k + 29. Let t be y(n). Solve -j + 13 = q*c, -7 = 2*j - t*c + 3 for j.
1
Suppose 90 = 15*h - 255. Let f(y) = -y + 7. Let t be f(5). Solve i + t*c + 11 = 0, 4*i + 5*c + 9 = -h for i.
-3
Let t(o) = 4*o**2 + 3*o + 1. Let d be t(-2). Suppose -2*r + d = -5*x - 6, -3*x + 3 = 0. Let y = -421 - -428. Solve -5*b - r = 3*n, -b = 3*n + y - 0 for n.
-2
Suppose -3*k = -14 + 2. Suppose -4*a - 5*t = -0*a - 25, -2*a - k*t = -20. Solve -l = 3, 5*l + a + 3 = 3*y for y.
-4
Let b = -26 - -31. Solve 5*d + b = 5*z, -2*d - 11 = 2*z - 5 for z.
-1
Let w = -23 + 37. Let p = 13 - w. Let m be -5 - p - (-102)/17. Solve -6 = 2*n, -m*n - 3*n - 23 = 4*f for f.
-2
Let c = -36 - -41. Let l be c - 9/(-2)*(-36)/81. Solve l*r + 8 = -r + 4*y, -5*y + 22 = r for r.
2
Suppose -1 - 19 = -5*j. Let o(v) = -v**2 + 3*v - 6 - j*v - 5*v. Let q be o(-4). Solve -q*p - 17 = -5*x, 2*p + 0 - 1 = -x for x.
3
Let x be 13/2 + (-4)/8. Let j(b) = b**3 - 6*b**2 + b - 2. Let u be j(x). Let g be (92 + -125)*6/(-22). Solve -u*q - 5*z - g = 4, -q + 5*z = -3 for q.
-2
Suppose 5*q - 13 = -v + 42, 0 = q + v - 15. Solve -u + 4 = 0, 2*p = p - 2*u + q for p.
2
Suppose r = -4*p + 6*r + 32, 0 = 3*p + 3*r - 24. Suppose -p*a - 7 + 31 = 0. Solve a*n + 12 = 0, -3*f - 6*n = -2*n + 28 for f.
-4
Suppose 26*l - 170 = 38. Solve -2*c = 4, -9*y - 4*c - 10 = -l*y for y.
-2
Let s = -963 + 968. Solve -4*t - 45 = s*o, -8*o + 3*o - 15 = -2*t for o.
-5
Let r = 39 - 30. Suppose -2*i + 5*t + r = i, 0 = -2*i - t + 6. Solve 0 = -i*u, 0 = -s + 7*u - 2*u - 2 for s.
-2
Let b = 1535 + -1533. Solve -5*q - b = -3*t + 13, 5*t - 25 = 2*q for q.
0
Let z be 8 + -2*1 - 1. Let v = -35 - -40. Let m = z - v. Solve 3*t + 18 = 3*a, t + 2*a + 0*a = m for t.
-4
Suppose -3*p - 2 - 67 = 0. Let r = p - -80. Suppose -3*n = 3 - r. Solve 2*l + 4*d = -n, -5*l - d - 13 = d for l.
-1
Let g(i) = i + 6. Suppose 2*h + 7 = 3. Let b be g(h). Solve w - 2*w + b*l = 13, 4*w + 2*l = 2 for w.
-1
Let l(v) = -5*v**3 + 12*v**2 + 9*v + 3. Let t be l(3). Solve 2*q - 17 = -2*q - f, -t*q + 27 = -4*f for q.
5
Let y = -38 - -57. Let a = -40 + 59. Solve -5*g = 5*o + y + 16, 2*o + a = -3*g for g.
-5
Let a(h) = -h**2 + 14*h - 19. Let s be a(12). Suppose -4*n + y = 4, 0 = 3*n - s*y + 2*y + 12. Solve n = 4*j - g - 3 + 2, 0 = 4*j - 4*g - 4 for j.
0
Let h = 3 + 0. Let a = -991 + 993. Solve -a*g - 3*j = h*g, -3*g = 5*j - 16 for g.
-3
Let s be -2 - (-34)/10 - 24/60. Suppose -5*u + 9 = -s. Solve 5 = -3*h + b + 2, -u*h + 4*b = 2 for h.
-1
Let r(g) = -g - 6. Let d be r(-6). Suppose -3*v = -43 - 53. Let a = -9 + v. Solve 0*y - 2*y - 12 = 4*z, d = -2*y + 3*z + a for y.
4
Let p be -15*(-2)/3*1. Suppose 2*k + p = 7*k. Solve -s + 17 = -5*t - 11, -k*s + 3*t = -21 for s.
3
Let o(p) = -p**3 - 4*p**2 + 11*p + 10. Let q be o(-6). Let d(f) = -f**2 + 16*f + 2. Let m be d(q). Solve j - 7 = s + m*s, j + 1 = -5*s for s.
-1
Let n = 158 - 156. Solve 5*p - 17 = 5*d - n, p = -3*d - 13 for p.
-1
Suppose -4*k - 2 + 15 = -5*c, -1 = k + 3*c. Solve -4*u - 21 = 3*s, -3*s + k*u + 0*u = 3 for s.
-3
Let w = -61 + 79. Suppose -q - w + 23 = 0. Let y be (-151)/(-9) - 2/(-9). Solve q = s - 5*k, 2*k - y = -5*s + 8 for s.
5
Let w = -49 - -34. Let m be (w/(-45))/(2/78). Solve -2*v - m = -2*n - 3*n, 18 = -5*v - 2*n for v.
-4
Suppose 0*a = 5*a - 3*u - 32, a = 5*u + 24. Let y be (-11 + 5)/((-2)/(-6)). Let n = y - -20. Solve -j - a*b = 0, -2 = -0*j + j + n*b for j.
-4
Suppose 0*q = -6*q + 54. Suppose -q = 5*f - 19. Let j(x) = -x**2 - 5*x. Let a be j(-4). Solve -4*z + 2*z = -8, -3*z + a = -f*r for r.
4
Suppose 41*y = 34*y + 91. Solve -3*b = -4*a - 1, 2*a = 4*b + 5 - y for b.
3
Let s = -391 - -392. Solve -4*p - 5*v = -5 + s, 0 = -3*v for p.
1
Let b(y) = y**2 + 5*y + 7. Let o be b(5). Let x = o - 53. Solve -4*i + x = -2*i - 5*a, -4*i = -5*a + 2 for i.
-3
Suppose 2*c + 8 + 2 = 0, -9 = -2*p - c. Let o be (5 - p)/((1 - 2)/2). Solve 32 = 4*a + o*t, -6*a + 16 = -a - 3*t for a.
5
Let g(s) = s**3 - 17*s**2 - 4*s + 70. Let z be g(17). Solve 16*c + 2*q = 15*c + 1, z*c - 3*q = -19 for c.
-5
Let t(c) = -3*c - 6*c + 10*c - 2. Let u be t(2). Solve 5*r + 2*i + 6 = u, -1 - 1 = -i for r.
-2
Let b = 32 - 28. Suppose b*o + 7 = 27. Let s(x) = -x**3 + 5*x**2 + x + 5. Let p be s(5). Solve -5*j = o*a - p, 3*a - 2*j + 3 = -1 for a.
0
Suppose 108 - 12 = -3*t. Let r be 31/(-2)*2 - -2. Let k = r - t. Solve -a + 14 = -k*g + 1, -16 = 3*g - 4*a for g.
-4
Let y(o) = 2*o**2 - 9*o + 14. Let p be y(3). Solve -2*w - 6 = -2*d - 2*d, 2*w - 5*d + p = 0 for w.
-5
Let i(s) = -8*s + 2. Let h(k) = -7*k + 1. Let d(f) = -7*h(f) + 6*i(f). Let c be d(-2). Solve 8*t - 3*t + 5 = -3*z, 0 = -c*t - 12 for z.
5
Suppose 5*o = 2*l + 5, 6*l - l = -4*o + 4. Suppose 4*i = -3*c + 15, 3*c + 0*c - 2*i - 15 = l. Solve 0 = 5*y + 5*z + c, -3*y - 28 = -5*z + 7 for y.
-5
Let m = -1 + 1. Suppose m*z = 2*z - 10. Suppose 4 = -578*i + 580*i. Solve -o = -2*h + 2*o - i, z*h + o + 22 = 0 for h.
-4
Suppose 0 = -5*j + 21 + 14. Let w(k) = k**3 + 5 - k - 6 + 0*k - j + 13*k**2. Let x be w(-13). Solve -4*a - 2 = -g, 5*g + 2*a + 17 = x for g.
-2
Suppose 4*i - i + 5*b = 107, 3*i + b = 91. Solve 3*q - 3*g + 9 = -18, -5*q - i = -g for q.
-5
Let n = -81 + 81. Let h = 5 - 3. Suppose n = -3*s - h*s + 15. Solve -4*z - 12 = s*q, 2*z - 5*z = -3*q + 9 for z.
-3
Let d = -114 - -119. Solve -t - 6 = -3*i, -4*t + 10 = d*i - t for i.
2
Let m(p) = 32*p + 78. Let i be m(-2). Solve -3*a + 9 = -5*k - 4*a, 2*k = 4*a + i for k.
-1
Let a be (-3 + 253)*(-6)/(-15). Let c be 39/15 + (-4)/(a/15). Let n = -11 - -15. Solve n*y - 2 = -c*p + 2, 0 = 2*y + 5*p - 10 for y.
0
Suppose y + y - 4 = 0. Let q be (3 - y)/(2/18). Suppose p + 2*h - 14 = 0, -p - 3*h + q = -2*h. Solve -4*m + 8 = -c - 2*c, 2*c + 12 = p*m for m.
5
Suppose -2*g = 3*g - 5. Let n(o) = 8*o + 2. Let p be n(g). Solve 2*k = p, u - k = 3*u - 5 for u.
0
Suppose -4*j - 44 = -4*n + 12, 4*n - 68 = -2*j. Let d(o) = n + o + 14 - 24. Let s be d(-2). Solve 0*z + z + 18 = 4*i, -2*z = s*i - 12 for z.
-2
Let j be -1*14/49 + 16/7. Solve -4*a - 4 = j*i + 12, -20 = 2*a + 4*i for a.
-2
Let o = 45 - 41. Suppose 5*u + 2*s = 4, 0*s - 2*s = -o*u - 4. Solve l + u = -1, -9 = -5*m + 4*l for m.
1
Let p(t) = t**3 - 3*t**2 - 3*t. Let h be p(4). Suppose h*z + 4 = 5*z. Let b be -1 + -1*(0 + 0 - 1). Solve 0 = -3*o + f + 4, b*f = z*f - 20 for o.
3
Let k be 87 - (15/(-5) + 7). Let v = 85 - k. Solve u + v*u = -5*f - 2, f - 3*u = 14 for f.
2
Let l = -97 - -100. Solve l = 3*z - 3*i, -2*z - 13 = 4*i + 15 for z.
-4
Let g(o) = -52*o + 316. Let a be g(6). Solve 0 = -v + a, l = -3*l - 2*v + 24 for l.
4
Suppose 6*n = 13*n - 4*n. Solve -5*d + 24 = -f, -f - 5*d + 23 + 3 = n for f.
1
Suppose -24 - 6 = -d. Let h be (-1)/(d/8 - 4). Solve -2*f - 7 = -5*p, -p - h*p + 31 = 4*f for p.
3
Suppose -3*d = 3*d - 882. Let i = d - 142. Solve j - 7*f + 3*f = -9, -30 = 5*j - i*f for j.
-5
Suppose 6*w = 9*w - 15. Solve 0*l = 4*l - 16, 4*y = w*l for y.
5
Let x(l) = l**3 - 2*l**2 + l + 3. Let t = 17 + -17. Let g be x(t). Solve 0*d + 4*m = -g*d + 22, 10 = -3*d + 4*m for d.
2
Let r be 24/(-16) - ((-36)/8)/3. Solve 4*z + 26 = 2*c + 2, r = c - 3*z - 17 for c.
2
Suppose 4*n - 3*u - 8 - 1 = 0, -5*n + 3*u + 12 = 0. Let l be 3/n + (-4 - -3). Solve l = 3*v - 4*d + 7, v - 28 = -3*v - 4*d for v.
3
Let g be 5*(3 + 70/(-25))*1. Let b(x) = 2*x**2 - 6*x. Let n be b(4). Let c be n - (g + 3 - 2). Solve -2*p + 4*v = c, -p + v + 6 = p for p.
5
Let h(u) = -u**2 + 93*u - 515. | {
"pile_set_name": "DM Mathematics"
} |
composite?
False
Let l(v) = -v**2 - 45*v + 213. Is l(-23) composite?
False
Let n = -5611 - -54369. Is n prime?
False
Suppose -4*a - 3 + 15 = 0. Suppose a*m = -0*m + 381. Is m composite?
False
Is 5 + (-188352)/(12/(-3)) a prime number?
True
Let r = 2547 - 144. Suppose -r - 1442 = -5*v. Is v prime?
True
Let u(k) = -k**3 - 11*k**2 - 14*k - 12. Let n be u(-10). Let m = -29 + n. Is (-4 - m) + 58 + 4 a composite number?
False
Suppose 4*f = 3*y + 332, -f - y - y = -72. Suppose -2*j - 5*x + f = -0*j, -x = 3*j - 107. Let o = j + 12. Is o a prime number?
True
Suppose -6*p + 6865 = 3*u - 4*p, 2300 = u + 3*p. Is u composite?
True
Suppose -40532 = -4*d + v, 0 = -0*v + 2*v. Is d prime?
True
Let o(z) = 9*z**2 + 17*z**2 + 1 - 7*z**2 + 8*z. Is o(4) a composite number?
False
Let g be (-1 + -153)/(312/(-304) + 1). Suppose -4413 - g = -5*t. Is t a composite number?
False
Let i(h) = -h**2 + 7*h - 4. Let g be i(6). Suppose -3*b + 4*k + 285 = -502, -k = -g. Is b a prime number?
False
Let n(l) = 2 - 6*l + 2 - l**2 + 2*l**2. Let a = 10 - 1. Is n(a) composite?
False
Let l(w) = w**2 - 10*w - 4. Let h(r) = -r**3 - 4*r**2 + 9*r + 7. Let z be h(-5). Let b be l(z). Suppose -4*n + b = 59. Is n prime?
True
Suppose 0 = 7*c - 3*c - 20, 3435 = n - 2*c. Suppose -a = 2*x - 1721, 3*x = -0*a - 2*a + n. Is a a composite number?
True
Let w = 69451 - 45300. Is w prime?
True
Let c be 2 - (3 + -3) - -3046. Suppose 3*k - 5*k = -c. Is ((-3)/(-2))/(18/k) a prime number?
True
Let i be (-117)/((18/128)/(-3)). Let t = -1752 + i. Suppose 0 = -3*y + 807 + t. Is y prime?
False
Let y = -1154 + 824. Let q = y - -545. Is q composite?
True
Let f be 6/21 + (-82116)/(-28). Suppose 3*x - 203 = -f. Let b = x + 1457. Is b composite?
False
Let c(y) = -163*y**3 + 2*y**2 + 5*y + 3. Suppose 4*x + 1 = 3*h + 20, 2*x - 3 = -5*h. Is c(h) a composite number?
False
Let y = -236 - -849. Is y a prime number?
True
Let w be (-6)/(-10) - 252/(-30). Let m be (-3)/w + 4/12. Suppose 0*j + 5*j - 105 = m. Is j composite?
True
Let z(n) = -2*n**3 - 19*n**2 - 10*n - 6. Let k be z(-9). Is (k + -1)/(12/11694) a prime number?
True
Let c(f) = -f**2 - 4*f + 3. Let r be c(2). Let z = -4 - r. Suppose -4*b + 3*n = -1522, -z*b + 799 = n - 1094. Is b a prime number?
True
Let p be ((-2)/5)/(3/(-13785)). Let o = p + -1147. Is o a prime number?
True
Let h(r) = r**2 - 17*r + 35. Let n be h(21). Suppose -1 = 2*q - 9. Suppose w + n = l - 0*w, -3*l + q*w + 353 = 0. Is l a composite number?
True
Let n(j) be the first derivative of -j**4/4 - j**3/3 - 2*j**2 + j + 10. Is n(-3) composite?
False
Let c(s) = 3*s**2 - 9*s - 67. Is c(-14) prime?
True
Suppose -7*m + 24 = 108. Is m/18 - 14758/(-6) a composite number?
False
Let z(w) = -w**2 - 2. Let h be z(-2). Let m be ((-32)/10)/(h/165). Suppose m = 5*b - 87. Is b a composite number?
True
Let z(q) = -66*q**2 - 2*q + 3. Let c be z(-4). Let x = c - -1530. Is x a prime number?
False
Let n = -188 + 188. Suppose -1879 + 95 = -2*y. Suppose -y = -n*m - 4*m. Is m prime?
True
Let x(n) = -5*n**3 - 11*n**2 + 2*n - 1. Is x(-15) composite?
False
Is (4 - 16) + 22159 - 6 a prime number?
False
Suppose 5*i - 1274 = -5*y - 444, -4*y + 649 = -i. Is y a composite number?
False
Let t(s) = s**2 + 3*s - 3. Let b = 15 - 29. Let y = -22 - b. Is t(y) prime?
True
Let a(f) = -2*f - 7. Let w(m) = -3*m + 13. Let l be w(6). Let q be a(l). Suppose 7*t - q*t - 508 = 0. Is t composite?
False
Let n = 3256 + -1903. Suppose 0 = -9*j - 75 + n. Is j a prime number?
False
Suppose -2*w + m = 3*w - 168, 2*w + 4*m - 54 = 0. Suppose w = 4*n - 7. Is (-613)/(-5) + 4/n composite?
True
Is 0/1 - (-2166 - -5) a composite number?
False
Let m(i) = -3*i + 22. Let a be m(4). Is (-26)/(((-2)/785)/(2/a)) a composite number?
True
Let i be 1 - 9*(3 - 4). Suppose 3*f = f, -2*g = -3*f - i. Suppose g*k - 720 = -0*o + o, 600 = 4*k + 4*o. Is k a prime number?
False
Suppose -d - 4890 = 1846. Is d/(-10) + 39/(-65) prime?
True
Let d = -2176 - -3957. Is d a prime number?
False
Let z(g) = 12*g**2 - 2*g + 3. Let w(l) = -11*l**2 + 2*l - 3. Let n(v) = -6*w(v) - 5*z(v). Is n(5) composite?
True
Let k = 13538 - 5319. Is k a prime number?
True
Suppose -13*r + 7*r = 2634. Let a = r - -1758. Is a composite?
False
Let o(v) = v**3 - v - 2. Let x be o(2). Suppose -4*q = -k - 2, 3*q - 10 + 0 = 5*k. Suppose q = -y + 303 + x. Is y a composite number?
False
Suppose l + 1 + 6 = 0. Let r = 11 + l. Suppose r*a - 3005 + 667 = -2*s, -602 = -a + 3*s. Is a a composite number?
False
Let z = -24981 + 53364. Is z prime?
False
Suppose 2301 = b - 3*a + 391, b + 3*a = 1904. Is b composite?
False
Let v(y) = 26*y**2 + 37*y**2 + 2*y + 1021 - 1021. Is v(7) composite?
True
Is (-88916)/(0 - (-40)/(-10)) a composite number?
False
Let r(v) = -110*v - 91 - 30*v + 230*v. Is r(23) composite?
False
Suppose -g = -1670 - 191. Let h = 2750 - g. Is h a prime number?
False
Let x = 33 + -47. Is (-7)/(x/2344) + -1 a composite number?
False
Suppose -9*l + 2236 = -7*l + 2*t, 5*l - 5605 = -2*t. Is l a composite number?
False
Let n = 212 + 97. Let j = -118 + n. Is j prime?
True
Is (1 - -2) + 8205 - 5 a composite number?
True
Suppose -4*x + 6*x + 5*r + 10 = 0, 0 = 2*x + 3*r + 6. Suppose -3*d + 2*o + 2*o + 166 = x, -o - 57 = -d. Is d a prime number?
False
Suppose 0 = -41*x + 40*x. Suppose x = -0*z + z - 109. Is z prime?
True
Let w be 6/(-4)*(1 + 1). Let m(p) be the third derivative of -23*p**4/4 - p**3/6 + 14*p**2. Is m(w) a composite number?
True
Let i be (-114)/(-22) + 6/(-33). Suppose 0 = -k + i*k - 1324. Is k a prime number?
True
Suppose 6*r + 25 = r. Let n = -7 - r. Let u(p) = -6*p**3 + 2*p**2 - 2*p - 2. Is u(n) a prime number?
False
Let m(r) = 1611*r + 358. Is m(15) a prime number?
False
Let h = 28 + -23. Is (h/10)/(3/894) composite?
False
Let m(y) = 1604*y + 43. Is m(2) prime?
True
Suppose 2*f - 4792 = -3*w, -2*w - w = 4*f - 4796. Let r = -917 + w. Is r prime?
False
Let d = 143 - 7. Let c = 295 - d. Is c prime?
False
Let o = -34387 + 49080. Is o a composite number?
True
Let r = 5 - 4. Let p be 3/9*(r - -8). Suppose -2*o - o + 2*z = -111, -p*z = -4*o + 148. Is o prime?
True
Let d = 14 - 11. Suppose 0 = -3*c - 2*a + 14, -d*c + 5*a - 14 + 0 = 0. Suppose 92 = c*f - 66. Is f a composite number?
False
Suppose 7*s - 90 = 2*s. Let o = -6 - -10. Suppose 0 = o*j + 5*u - s - 105, -5*j = 2*u - 175. Is j a composite number?
False
Let q be 2*2/6*(5 - -808). Is q + 0 + (-1 - 0) a composite number?
False
Let w = 84 - 77. Is 2907/w + (-57)/(-21) + -3 a prime number?
False
Suppose -t + 5*g + 64 = 0, 4*t - 212 = -t - 2*g. Suppose 3*q - t = q. Suppose -q = 5*n - 257. Is n composite?
False
Let n = -394 - -456. Is n prime?
False
Suppose k + 1 = 3. Let b be (-1 + 0)/(k/(-8)). Suppose b*l - 1065 = l. Is l prime?
False
Let r(d) = 49*d**2 + 5*d - 15. Let m be r(-7). Is (-3)/24*6 - m/(-4) a composite number?
False
Let g = 7288 + -2961. Is g a composite number?
False
Suppose -9 = 5*u - 19. Suppose -224 + 30 = -u*s. Is s prime?
True
Let v = -11 - -7. Let y(r) = 3*r**3 + r**2 - 8. Let a(b) = -7*b**3 - b**2 + b + 15. Let i(l) = 3*a(l) + 5*y(l). Is i(v) prime?
True
Suppose -47*o + 903022 = 27*o. Is o a prime number?
True
Suppose 5*j - m + 4 = 26, j - 2*m + 1 = 0. Suppose 2*c = j*q - 601 - 208, -q - 3*c = -172. Is q composite?
False
Suppose 26310 = 44*a - 14*a. Is a composite?
False
Let q(v) = -v**3 + 12*v**2 - 21*v + 6. Let f be q(10). Let s be (-8 - f) + 834/(-2). Let z = s + 740. Is z a prime number?
False
Let y = -21142 - -40400. Is y a composite number?
True
Let q be 1 - (-2)/2 - -737. Suppose r + 2*r + 3 = 0, 0 = -3*x - 4*r + 5192. Suppose -302 + q = o - 3*y, -4*o + x = -4*y. Is o composite?
False
Let o be -2*(-1 - (-3 + 3)). Suppose 3*d - b + 1 = 3, -o*d = -b - 1. Suppose j + d = -0, 5*k - 75 = 5*j. Is k prime?
False
Suppose -3*y = -2*z + 2*y + 11, 0 = -3*z - 2*y + 26. Is 2 + (-14)/z - (-1701)/12 composite?
True
Let s(h) = -h**2 - 4*h - 11. Let l be s(0). Is (99/9)/((-1)/l) composite?
True
Suppose -5*d = -0*b + 2*b + 10, d - 2*b = -2. Is d/(-4 - 170/(-45)) prime?
False
Let o be 2*(-2)/(-2) + 97. Let y = 0 + 10. Suppose y = b + b, -4*f = -b - o. Is f a composite number?
True
Is (0 - -4)/2*8974/28 composite?
False
Suppose 3*z = -z + 24. Suppose -3*v + z = -9, 0 = -b - 4*v + 1089. Is b prime?
True
Let n = 20 + -17. Suppose n*i + 2*i = -4*z | {
"pile_set_name": "DM Mathematics"
} |
130)/(sqrt(90) - (sqrt(90) - -3*sqrt(90))).
-sqrt(13)/9
Simplify (sqrt(102) + sqrt(102)*-2*2)/(3*sqrt(6)*-1).
sqrt(17)
Simplify -2 + sqrt(65)/(-1*sqrt(5)).
-sqrt(13) - 2
Simplify -4 + ((-1 + sqrt(500))**2 + -3)*-5.
-2494 + 100*sqrt(5)
Simplify (-2*(-1 + sqrt(128))**2 + ((sqrt(128) + 0)*-4)**2)*-6.
-10740 - 192*sqrt(2)
Simplify 2*sqrt(68) - (sqrt(2448) + 1)**2.
-2449 - 20*sqrt(17)
Simplify (sqrt(1900) + (sqrt(1900) + -4 + sqrt(1900) - sqrt(1900)) - sqrt(1900))*-1.
-10*sqrt(19) + 4
Simplify -1*sqrt(432)*5.
-60*sqrt(3)
Simplify (-1*(sqrt(114) + sqrt(114)*1))/(sqrt(24)/(-1*sqrt(4))).
2*sqrt(19)
Simplify sqrt(48) + 1 - (2*(sqrt(3) + 0) - sqrt(3)).
1 + 3*sqrt(3)
Simplify (2*sqrt(40)/(4*sqrt(8)))**2 + 4.
21/4
Simplify ((3 + sqrt(11))**2 + sqrt(11))*-2 - ((sqrt(121)*2)/sqrt(11))**2.
-84 - 14*sqrt(11)
Simplify (2*sqrt(2) + 5)**2 + (sqrt(2) - (sqrt(2) + sqrt(8)/(2*sqrt(4)))).
39*sqrt(2)/2 + 33
Simplify (sqrt(152)*-2*-1 - sqrt(152))/((sqrt(96) - sqrt(96)*3)/sqrt(12) - sqrt(8)).
-sqrt(19)/3
Simplify -6*(-5 + (3*(-2 + sqrt(200)))**2).
-10986 + 2160*sqrt(2)
Simplify 4 + 5 + sqrt(11)*-1.
-sqrt(11) + 9
Simplify -2 + ((sqrt(19) - (sqrt(38)/sqrt(2)*4 - sqrt(19)))**2 - 4*sqrt(304)).
-16*sqrt(19) + 74
Simplify 3*(sqrt(76)*3 + -3).
-9 + 18*sqrt(19)
Simplify ((6*1*sqrt(84) - sqrt(84)) + sqrt(84))/((sqrt(84) + sqrt(84)*2)/sqrt(7)).
2*sqrt(7)
Simplify ((sqrt(272)*-1 + sqrt(272) - sqrt(272))*-5*3)**2.
61200
Simplify sqrt(13) + ((sqrt(143) - (sqrt(143) + sqrt(143) + (sqrt(143)*2 - sqrt(143)) + sqrt(143)))/sqrt(11))**2 + -2.
sqrt(13) + 115
Simplify (2 + sqrt(192))**2*-4.
-784 - 128*sqrt(3)
Simplify (sqrt(16)/(sqrt(512)/sqrt(4)))**2.
1/8
Simplify 2*(sqrt(500) + (sqrt(500) - (sqrt(500) + -1 - sqrt(500))) + (sqrt(2880) + 0)**2).
40*sqrt(5) + 5762
Simplify 4 + (sqrt(13)*-1*-3)**2 + -5.
116
Simplify 3*((sqrt(950) - 3*sqrt(950))/sqrt(2))**2.
5700
Simplify ((sqrt(612) - (sqrt(612) + 2*sqrt(612) - sqrt(612))) + -1 - sqrt(612))**2.
24*sqrt(17) + 2449
Simplify sqrt(637) + -1 - 6*(1*sqrt(13))**2.
-79 + 7*sqrt(13)
Simplify (1*sqrt(77)*-3)/sqrt(7).
-3*sqrt(11)
Simplify 2*((5 + sqrt(11)*3)**2 + 3).
60*sqrt(11) + 254
Simplify ((sqrt(1512)/sqrt(6) + 1)*6)**2.
432*sqrt(7) + 9108
Simplify (sqrt(264)/(sqrt(22)/sqrt(2)))/(sqrt(144)/sqrt(192)).
4*sqrt(2)
Simplify 5 + ((2*sqrt(200))**2 + sqrt(200))*-2.
-1595 - 20*sqrt(2)
Simplify (0 + sqrt(11) + -5)**2 + ((sqrt(77)*-2 + sqrt(77))/sqrt(7))**2.
-10*sqrt(11) + 47
Simplify -2*sqrt(17)*-5 - (-3 + sqrt(17)*3).
3 + 7*sqrt(17)
Simplify (sqrt(153)*-1 + -2)**2.
12*sqrt(17) + 157
Simplify (sqrt(325)*1)**2 - (sqrt(637) + 2).
-7*sqrt(13) + 323
Simplify ((sqrt(132) + sqrt(132) + sqrt(132) + (-3*(-1*sqrt(132) + sqrt(132)) - sqrt(132)))/(sqrt(12) + sqrt(48)*5))**2.
4/11
Simplify sqrt(77)/sqrt(7)*-3 - (sqrt(11) + -2)*-5.
-10 + 2*sqrt(11)
Simplify ((sqrt(1100) + 1 + sqrt(1100))*4)**2.
640*sqrt(11) + 70416
Simplify 5*sqrt(432)*-1.
-60*sqrt(3)
Simplify sqrt(13) + (sqrt(13) - sqrt(104)/(sqrt(24)/sqrt(3))) - (sqrt(13) + 5 + sqrt(13) + sqrt(13)*1).
-2*sqrt(13) - 5
Simplify (sqrt(243) + sqrt(243) + 3*sqrt(243)*5 + sqrt(243))**2.
78732
Simplify ((2 + -2*sqrt(343) + (sqrt(343) + 1)*-1)*3)**2.
-378*sqrt(7) + 27792
Simplify ((sqrt(200) + 2)*-3 + 0)**2.
360*sqrt(2) + 1836
Simplify ((-5 + sqrt(325) - sqrt(26)/sqrt(2)*5)*2)**2.
100
Simplify (sqrt(190)/(2*sqrt(10)) - sqrt(19))**2*-5.
-95/4
Simplify (-4*(sqrt(117)*2 - sqrt(117))/sqrt(9))**2 + 4.
212
Simplify ((sqrt(130)*1 - sqrt(130))/sqrt(10) - (sqrt(13) - ((-2 + sqrt(13) + 0)**2 - sqrt(13)) - sqrt(13))) + 4.
-5*sqrt(13) + 21
Simplify (3 + -1*sqrt(11))*2 + 1.
-2*sqrt(11) + 7
Simplify sqrt(51)/sqrt(3) + 1 + 2.
3 + sqrt(17)
Simplify -1*sqrt(180) + sqrt(20)/sqrt(4) + 3.
-5*sqrt(5) + 3
Simplify ((sqrt(30)/sqrt(2))/sqrt(3) + (sqrt(120)/sqrt(6))/sqrt(4))**2.
20
Simplify (sqrt(50) + (2*sqrt(4050) - sqrt(50)))/(sqrt(10) - (sqrt(50) + (sqrt(50) - sqrt(200)))/sqrt(5)).
18*sqrt(5)
Simplify (-5*sqrt(136)*-1)/sqrt(8).
5*sqrt(17)
Simplify (-5 + sqrt(6)/sqrt(2) - (sqrt(75) + 1))**2.
48*sqrt(3) + 84
Simplify (2*(sqrt(190) - sqrt(190)*4 - sqrt(190)))/(((sqrt(120)*-2 - sqrt(120) - sqrt(120)) + sqrt(120) - sqrt(120))/sqrt(12)).
2*sqrt(19)
Simplify (sqrt(40) - (sqrt(440) + sqrt(440)*-1 + sqrt(440) - sqrt(440) - sqrt(440))/sqrt(11))/(sqrt(8) + sqrt(224)/sqrt(7) - sqrt(8)).
sqrt(5)
Simplify (5 + (4*sqrt(52) - sqrt(13)))*1.
5 + 7*sqrt(13)
Simplify (-1*(sqrt(143) - (sqrt(143) - (1*sqrt(143) + sqrt(143)))) + sqrt(143) - sqrt(143))/sqrt(11) + 4 + -2.
-2*sqrt(13) + 2
Simplify ((sqrt(84)/(2*sqrt(7)))/sqrt(4) + -4)**2.
-4*sqrt(3) + 67/4
Simplify sqrt(20)/(1*sqrt(64)).
sqrt(5)/4
Simplify (sqrt(25) + sqrt(100)/(-2*sqrt(4)))/(sqrt(5) + sqrt(20)/sqrt(16)).
sqrt(5)/3
Simplify 3 + 1 + sqrt(13) + -1.
3 + sqrt(13)
Simplify (sqrt(28) + (sqrt(28) - sqrt(112)/(sqrt(16)/sqrt(4))))/sqrt(4) + -5.
-5 + sqrt(7)
Simplify ((sqrt(242) - (sqrt(242) + 0 + sqrt(242))) + -4 + 3)**2.
22*sqrt(2) + 243
Simplify ((sqrt(80) - sqrt(80)*2)*3 + -4)**2.
96*sqrt(5) + 736
Simplify (sqrt(1088)*2 + 3)**2.
96*sqrt(17) + 4361
Simplify (sqrt(1728)*-1 + sqrt(1728))/(sqrt(96) + sqrt(6)).
0
Simplify (sqrt(13) - (sqrt(104)*-2 + sqrt(104) + sqrt(104))/sqrt(8))*-2 + 0.
-2*sqrt(13)
Simplify sqrt(1100) - (-3 + (sqrt(1100)*-3 - sqrt(1100)))**2.
-17609 - 230*sqrt(11)
Simplify sqrt(40)/(1*sqrt(968) + sqrt(968)).
sqrt(5)/22
Simplify 1*sqrt(228)/(-2*sqrt(1728)).
-sqrt(19)/24
Simplify sqrt(104)/(6*sqrt(64)/sqrt(8)).
sqrt(13)/6
Simplify (sqrt(187)/(sqrt(539) + sqrt(539)*1 - sqrt(539)))**2.
17/49
Simplify 5 + (sqrt(3)*2 + -5)*-3.
-6*sqrt(3) + 20
Simplify (-1*sqrt(1701))/(-2*sqrt(12)/sqrt(4) + sqrt(3)).
9*sqrt(7)
Simplify (sqrt(19) + (sqrt(1900) - (sqrt(1900) + 1)))**2 + 5.
-2*sqrt(19) + 25
Simplify (-2*sqrt(1836))/(sqrt(432) + sqrt(48)).
-3*sqrt(17)/4
Simplify ((sqrt(224) - sqrt(14))/sqrt(7))**2*3.
54
Simplify 0 + -3 + sqrt(52) + -2.
-5 + 2*sqrt(13)
Simplify -3*(-3 + (sqrt(48) - sqrt(3)))**2.
-108 + 54*sqrt(3)
Simplify -6*(sqrt(162)*3)**2.
-8748
Simplify (-3*sqrt(484) + sqrt(484) + sqrt(484))/sqrt(11).
-2*sqrt(11)
Simplify (-3*(sqrt(68) - (4 + sqrt(68)))*5)**2.
3600
Simplify (-1 + (-1 + sqrt(2448))*6 + sqrt(2448))**2.
-1176*sqrt(17) + 120001
Simplify (4 + sqrt(320)*-2 + -3)**2.
-32*sqrt(5) + 1281
Simplify 1 + sqrt(72) + -4 - sqrt(72) - sqrt(72).
-6*sqrt(2) - 3
Simplify -3*(sqrt(256)/sqrt(8))**2.
-96
Simplify ((-4*sqrt(245)*1)**2 - sqrt(245)) + -3.
-7*sqrt(5) + 3917
Simplify (sqrt(255)/sqrt(45))/(sqrt(3) - -1*sqrt(432)).
sqrt(17)/39
Simplify (0 + sqrt(19) + 3 - (sqrt(114) - (sqrt(114)*1 - sqrt(114) - sqrt(114)))/sqrt(6))**2.
-6*sqrt(19) + 28
Simplify sqrt(70)/(sqrt(10)*2)*-1.
-sqrt(7)/2
Simplify (6*sqrt(17) + sqrt(17))**2*1 - (-4 + 3 + sqrt(17) + sqrt(17)).
-2*sqrt(17) + 834
Simplify (sqrt(300) + (sqrt(300) - ((sqrt(300) + (sqrt(300) - (-1*sqrt(300))**2))*-4 - sqrt(300))))*-3.
-330*sqrt(3) + 3600
Simplify 5 + 2*-2*sqrt(66)/sqrt(6).
-4*sqrt(11) + 5
Simplify (sqrt(324)/((sqrt(84)*2 + sqrt(84))/sqrt(7)))**2.
3
Simplify (sqrt(65) + -4*(sqrt(65) + sqrt(65)*1))/((sqrt(35)*-1)/sqrt(7)).
7*sqrt(13)
Simplify (sqrt(2448) - (sqrt(2448) - (sqrt(2448) + 5 + (sqrt(2448)*1 - sqrt(2448)))))**2*-3.
-7419 - 360*sqrt(17)
Simplify ((sqrt(27) - (sqrt(27) + sqrt(297)/(sqrt(33)/sqrt(3))))/((sqrt(144)/sqrt(4))/sqrt(4)))**2.
3
Simplify sqrt(180)/sqrt(4) + sqrt(10)/(sqrt(2) + sqrt(10)/sqrt(5)).
7*sqrt(5)/2
Simplify -5 + -4*3*sqrt(13).
-12*sqrt(13) - 5
Simplify (sqrt(980) - -3*sqrt(980)) + sqrt(980).
70*sqrt(5)
Simplify (1*(4*(sqrt(19) + -1) + (sqrt(38)*-2 - sqrt(38))/sqrt(2)))**2.
-8*sqrt(19) + 35
Simplify ((sqrt(432)*1)/((sqrt(6) - sqrt(6)*1*-6) + sqrt(6)))**2.
9/8
Simplify (-5*(sqrt(65) + sqrt(65)*1 + sqrt(65)))/(sqrt(80)*3).
-5*sqrt(13)/4
Simplify (sqrt(294)/(-2*sqrt(7)))/sqrt(6).
-sqrt(7)/2
Simplify 2 + sqrt(2) + 3 - (sqrt(10)*-1)/sqrt(5).
2*sqrt(2) + 5
Simplify (-1*-1*sqrt(1331) - (4 + sqrt(1331)*-1))**2.
-176*sqrt(11) + 5340
Simplify (1*sqrt(104)*-2)/(sqrt(8) - sqrt(96)/(-3*sqrt(12))).
-3*sqrt(13)/2
Simplify (sqrt(102)/(3*sqrt(3)))/(-6*sqrt(8)/sqrt(4)).
-sqrt(17)/18
Simplify (sqrt(567)*1*-4)**2 - (sqrt(567) + ((1 + sqrt(567))*-4 + sqrt(567))**2).
-225*sqrt(7) + 3953
Simplify ((sqrt(52) - (sqrt(104)/sqrt(2) + -4)) + sqrt(52) - sqrt(52))**2*3.
48
Simplify 4 + -1 + sqrt(704) + (sqrt(704) - 1*(sqrt(704) - (-1 + sqrt(704))) - | {
"pile_set_name": "DM Mathematics"
} |
4*m**3 - 5*m**3).
-4*m**5 - 4*m**2 + m
Expand (-s**3 + s**2 - s**2)*(15*s - 15*s + 4*s**2) + (-3*s**4 + 3*s**4 + 2*s**4)*(5*s - s - 3*s).
-2*s**5
Expand (3 + 0 - 2)*(y**4 - 3*y**4 + 5*y**4) + y - y - 3*y**4 + (3*y**4 + 2*y**4 - 6*y**4)*(-1 + 4 - 1) + 0*y**4 - y**4 - y**4.
-4*y**4
Expand (-2*x**3 + 3*x**3 - 2*x**3)*(5*x**2 + 3*x**2 - 5*x**2) + x**2 - 3*x**5 + 0*x**5 + 4*x**5.
-2*x**5 + x**2
Expand (0*t + 3*t - t)*(-4*t**2 + 0*t**2 + t**2) + t**3 + 2*t**3 - t**3 + (2*t**2 - 3*t**2 + 0*t**2)*(t - t - t).
-3*t**3
Expand (-3 + 14 - 4)*(c + 3*c - 2*c).
14*c
Expand (1 + w**3 - 1)*(0 - 3 + 0) + 0*w**2 + 0*w**2 - w**3 + (-48 + 48 + 11*w**3)*(-3 + 0 + 6).
29*w**3
Expand (4 - 1 + 1)*(0*p**5 + 2*p**5 + 4*p**5).
24*p**5
Expand (-2 - 6*p**3 + 2)*(3 - 1 - 4) + (-2*p - p**2 + 2*p)*(0*p + p - 2*p).
13*p**3
Expand (2*y - 2*y + 2*y)*(-8*y**3 - 9*y**3 + 6*y**3).
-22*y**4
Expand (-2 + 3*f + 2)*(-f**3 - f + f).
-3*f**4
Expand (2*z - 3*z + 0*z - 3)*(-3 + 2 - 1).
2*z + 6
Expand -1 - 40*m**3 - 1 + 6*m**2 + 42*m**3 + (m**2 + 2*m**2 - 4*m**2)*(0 + 0 + m).
m**3 + 6*m**2 - 2
Expand (27*p + 27*p - 56*p)*(-2*p + p + 2*p).
-2*p**2
Expand (0*v**2 - 1 - 2*v**2 + 3*v**2)*(-2 - 1 + 2)*(1 + 3*v - 1).
-3*v**3 + 3*v
Expand 3*l**5 + 3*l**5 + 0*l**5 - 5*l**5 + l**5 + 2*l**5 + 4*l**5 + l**5 - 3*l**5 + (-l**5 + l**4 - l**4)*(-4 + 2 + 0) - 1 + 1 - l**5 - l**5 + 3*l**5 - l**5.
8*l**5
Expand (2*v + 2 - 2 + (-6 + 1 + 3)*(6*v - v - 3*v) + 2*v + 3*v - 7*v - 1 - v + 1)*(-3*v**2 + v**3 + 3*v**2).
-5*v**4
Expand (1 + h**2 - 1 + (0*h**2 - h**2 - h**2)*(-1 - 1 + 3) + 3 - h**2 - 3 - h**2 + 4 - 4)*(-42 - 33 + 29).
138*h**2
Expand (-3 + 3 - 4*s)*(0*s + s + s) - 4*s**2 + 5*s**2 + 5*s**2 + (2 - 2 - s)*(0*s + 3*s - 6*s).
s**2
Expand (-2 + 0 + 4)*(0*y + 2*y + 0*y).
4*y
Expand (-2 - i + 2)*(0*i + 2*i - 4*i) + 0*i**2 + i**2 - 26 + 2.
3*i**2 - 24
Expand (-3*c + 3*c + 2*c**3)*(-c**2 + c**2 + c**2) - 4*c**5 + 2*c**3 + 10*c**3 - 18*c**3.
-2*c**5 - 6*c**3
Expand 20*m**2 + 15*m - 15*m + (-4*m + 2 - 2)*(-m + 3*m - 3*m).
24*m**2
Expand (-3*f - 2*f - 1 + 7*f)*(-3*f**3 + 2*f - 2*f).
-6*f**4 + 3*f**3
Expand (1 - 1 + 1)*(-6 + 8 + 4*a + a).
5*a + 2
Expand -2*d**3 + d**5 + 2*d**3 + 0*d + 0*d - d**5 + (-4*d**2 - d**2 + 3*d**2)*(-d**3 - 3*d**2 + 3*d**2) + 0 + 0 + d**5.
3*d**5
Expand (-3*y**3 + 0*y**2 + 0*y**2)*(3*y - 3*y - 3*y)*(-5*y + 2*y - 4*y).
-63*y**5
Expand (3*v - 4*v - 2*v)*(-v**2 + 4*v**2 - 2*v**2)*(-2*v + 6*v - 2 - 5*v).
3*v**4 + 6*v**3
Expand (-2*p - 1 + 1)*(-7*p**2 + 4*p**2 - 8*p**2).
22*p**3
Expand (2 - 2 - 2)*(p**3 - 10*p**3 + p**3)*(0 + 0 - p**2).
-16*p**5
Expand -o + 0 + 0 + (2 - 1 + 1)*(-2*o - 4*o + 4*o) + 6*o + 11*o - 57 - 19*o.
-7*o - 57
Expand (-8*l + 15*l - 2*l**2 + 8*l)*(-l + 3*l - 3*l).
2*l**3 - 15*l**2
Expand (3 + 1 - 1)*(-a - 3*a + 3*a)*(0 + 0 - a**4)*(3 + 0 + 0).
9*a**5
Expand (11 + 10 + 6)*(2*m + 2*m - 2*m).
54*m
Expand 2*n - 4*n + 4*n + n + n - 6*n + (3 - 1 - 3)*(-2*n + 0*n + 3*n) + 1 - 1 - 2*n.
-5*n
Expand (-2*m**2 + 5*m**2 - m**2)*(2 - 2 + 1)*(-2*m**2 + 0*m**2 - 6*m**2).
-16*m**4
Expand -28*a**3 + 13*a**3 - 40*a**3 + (-2*a - 1 + 1)*(-3 + 3 - a**2).
-53*a**3
Expand (7*n**4 - 13*n**4 + 7*n**4)*(-3 + 2 + 5).
4*n**4
Expand (2 + 2*m - 2)*((-1 + 1 + 1)*(0 - 1 - 1) - 2 + 17 + 11).
48*m
Expand ((3*x - 3*x - x)*(0 - 3 + 2) + 2*x + 2*x - 2*x)*(-2 + 6 - 1).
9*x
Expand (-2 - 5 + 5)*(2*f + 2*f + 14*f)*(-3 - 1 + 2).
72*f
Expand (-4*x**3 + 6*x**3 + 0*x**3)*((-4 - 2 + 4)*(-1 + x + 1) - 15*x + x + 2*x).
-28*x**4
Expand (-1 + 1 + o)*(0 - 1 + 3 + (2 + 1 - 2)*(-2 + 3 - 3) + (1 + 1 - 1)*(3 - 2 + 1)).
2*o
Expand (-6 - 7*x + 6)*(-2 + 5 - 1)*(-1 - 2 + 1).
28*x
Expand ((5*q + 0 + 0)*(1 + 2*q - 1) + (4*q - 5*q + 2*q)*(2 - 2 + 3*q))*(2*q + q**3 - 2*q).
13*q**5
Expand 0*a + 0*a - 2*a + (4 - 3 + 4)*(2 - 2 - a).
-7*a
Expand (-1 - 3 + 5)*(2*c**2 - 4*c + 4*c) + 54*c**2 - 30*c**2 + 49*c**2.
75*c**2
Expand (-3 + 3 - 2)*(r**5 - r**5 + r**5) + r**5 + 2*r**5 + 0*r**5.
r**5
Expand (0*c + c + 2*c)*(-3*c**2 + 8*c - 8*c).
-9*c**3
Expand (2*p**2 + 3*p**2 - 4*p**2)*(0*p + 0*p + p**2) - p**4 + 2*p**4 - 3*p**4 + 3*p**3 - 3*p**3 - 2*p**4 - 5*p**3 + 5*p**3 - p**4.
-4*p**4
Expand 0*o**4 + 5*o**5 + o**4 + 5*o**5 + (0 + 0 + o)*(0*o + 0*o - 2*o**4).
8*o**5 + o**4
Expand (0*z + z + 2*z)*(0*z - 2*z + 3*z)*(-4 - 10 + 0).
-42*z**2
Expand (1 - 1 - 1)*(2*b**2 - 2*b**3 - 2*b**2)*((0 - 2 + 1)*(-1 - 1 + 3) + 0 - 2 - 1).
-8*b**3
Expand (-3*n + 3*n - n**2)*(-2*n**2 + 148*n + 1 - 2 - 160*n).
2*n**4 + 12*n**3 + n**2
Expand (2*o**3 + o**2 - o**2)*(5*o - 3*o - 4*o) + 2 - 2*o**4 + 0 - o**4.
-7*o**4 + 2
Expand ((0 + 0 + d)*(-1 - 5 + 4) + 4*d - 2*d + d)*(1 - 1 - 2*d).
-2*d**2
Expand (4*g - 9 + 9)*(2*g**4 - g**4 + g**4)*(-1 + 4 - 2)*(4 - 1 - 2).
8*g**5
Expand 0*t**2 + 2*t**2 - 6*t**2 + t**2 + 0 + 0 + 1 + t**2 - 1 + (3 - 1 - 3)*(4*t**2 + 1 - 1).
-6*t**2
Expand y + 0*y + y + (-2 - 2 + 3)*(y + 0 + 0) - 2*y - 4*y + 4*y + 3*y + 2*y - 7*y - 2*y + 2*y + 4*y - 2*y + 3*y + y + (-2 + 1 + 2)*(3*y + y - 2*y).
5*y
Expand (-4*g + 3*g - g)*(g + 0*g - 5*g)*(1 + 0 + 1) + (2*g + g - g)*(-2 + 2 + 2*g).
20*g**2
Expand (0*v + 3*v - v)*(-26 - 20 - 19*v**3 + 44).
-38*v**4 - 4*v
Expand (-2*u + 3*u + 0*u)*(-1 + 0 + 4) + 5*u + 0*u - u.
7*u
Expand (-3 - b**2 + 0*b**2 + 0)*(9*b**2 + 6*b**2 - 14*b**2).
-b**4 - 3*b**2
Expand (b**2 + 3*b**2 - 2*b**2)*(-2*b**2 + 3*b**2 - 3*b**2).
-4*b**4
Expand (-3*u**4 - 12*u + 12*u)*(-5*u + u + 3*u + (-2*u - 2 + 2)*(-6 + 2 + 2) + u + 0*u + 0*u).
-12*u**5
Expand -2*v + v + 0*v + (-1 + 5 - 5)*(0*v + 0*v - 2*v) + 2*v - 1 + 1 + 6*v - 3*v - 2*v + (1 + 1 - 3)*(-3*v + 3*v - v).
5*v
Expand (-12*r - r + 16*r)*(2 - 1 - 2).
-3*r
Expand (-2*i**2 + 7*i**2 - 3*i**2)*(3*i - 5*i + 0*i)*(i - i**2 - i).
4*i**5
Expand 2*n**2 + n**2 - n**2 + (n - 1 + 1)*(89 - 89 + 34*n).
36*n**2
Expand (-2*y - 2 + 3*y + 3)*(4*y - 21*y**3 - 4*y).
-21*y**4 - 21*y**3
Expand (-s**2 + 104*s**3 - 101*s**3 + 0*s**2)*(3 - 4 + 0)*(-2*s + 1 - 1).
6*s**4 - 2*s**3
Expand (v + 0*v + 2*v)*(-1 - 2 + 1)*(-2*v - v + 2*v + (2*v + 0*v + 0*v)*(4 - 1 - 2) - 4 + 4 + 2*v).
-18*v**2
Expand (0*z**2 - z**2 - z**2)*(2*z**3 + 2*z**3 - 5*z**3) + (-2*z**3 + 3*z**3 - 2*z**3)*(3*z**2 - z**2 - z**2).
z**5
Expand (-a + 5*a - 2*a)*(-3*a + 2*a - a) + 13 - 13 - 3*a**2 + (3*a + 0*a - a)*(-3*a + 6*a - 2*a).
-5*a**2
Expand (4 + 8 - 6)*(2*j + 3*j - 7*j + (3 + 0 - 2)*(-2 - j + 2) - 2*j - 2*j + 5*j - j + 4 - 4)*(-2 + 7 - 3).
-36*j
Expand (6 - 10 + 0)*(1 - 1 - 3)*(-g + 2*g - 3*g).
-24*g
Expand 4*c**4 - 3*c**4 + 0*c**4 + (-4 + 3 + 0)*(2*c**4 - 5*c**4 + 2*c**4) + (3*c**2 - 2*c**2 + c**2)*(2 - 2 - 2*c**2).
-2*c**4
Expand 0*h - h + 0*h + (h - 1 + 1)*(2 - 3 + 0) + h + 0*h + h - 2*h + 2*h + h.
h
Expand -2*j - j + j + (-3 - 2 + 6)*(0*j - j + 2*j) + 1 - 1 - 2*j - 25 + 18 - 7*j + 20.
-10*j + 13
Expand ((80*a - 8*a**2 - 80*a)*(-a**2 + 1 - 1) - a**3 + a**3 + 2*a**4)*(5 - 3 - 1).
10*a**4
Expand 2*h**5 - h**5 - 3*h**5 + (3*h + h**2 - 3*h)*(-h - 1 + 1)*(15*h**2 + 13 - 13).
-17*h**5
Expand (2 - 46*q - 45*q + 95*q)*(q - q + 2*q**3).
8*q**4 + 4*q**3
Expand (-22*z + 260 - 260)*(-4*z + 2*z**2 + 6*z - 4*z**2).
44*z**3 - 44*z**2
Expand 237 + 196*h**2 + 39*h**2 - 237 + (-1 + 1 + h)*(-h - 2 + 2).
234*h**2
Expand (-5*t + 5*t + 2*t)*(-9 - 7 + 25).
18*t
Expand (3 - 1 + 1)*(-3 - 2*a + 1 + a).
-3*a - 6
Expand (-3*k**4 - 2*k + 2*k)*(-3*k - 4*k + 5*k) + (17*k - k**4 - 17*k)*(-3 - k + 3).
7*k**5
Expand (-1 + 0 - 1)*(-4*r + 8*r + 0*r)*(2*r - 3*r - 2*r).
24*r**2
Expand (-u**2 + 3*u**3 + u**2)*(0*u**2 + 0*u**2 - 4*u**2).
-12*u**5
Expand (1 - 6 + 2 + (-1 - 5 + 3)*(-3 - 4 + 5))*(-5*h**3 + 5*h**3 + h**4).
3*h**4
Expand (2*p**4 + 0*p**4 + 0*p**4)*(-3 - 1 + 3)*(-7 - 5 + 1).
22*p**4
Expand (-l - 1 + 1)*(-1 + 42*l + 0 - 52*l).
10*l**2 + l
Expand (-6*a**2 + 11*a - 11*a)*(-2*a + 2*a + 7*a**3).
-42*a**5
Expand ((t + 5 - 5)*(-3*t - t + 2*t) - t**2 - 2*t**2 + 4*t**2 + 2*t + 3*t**2 - 2*t + 4*t**2 + 0 + 1 - 5*t**2)*(2*t**2 - t**2 - 2*t**2).
-t**4 - t**2
Expand (m - m - 2*m**2)*(-5 - 5 + 1)*(0 + 0 + 2)*(0*m + 0*m - m**3).
-36*m**5
Expand 2*c**3 + 2*c**3 - 2*c**3 + 4*c**3 - 5*c**3 + 0*c**3 + (3*c**3 + 0*c**3 - 5*c**3)*(0 - 3 + 1) + 2 - 2 + c**3 - 3*c**3 + 3*c + 2*c**3 + 0*c**3.
5*c**3 + 3*c
Expand (0 + 0 - j)*((1 - 1 - 2)*(-6 + 3 + 4) + 3 - 1 + 1).
-j
Expand 2*p**5 + p**5 - 2*p**5 + (3*p**3 + 0 + 0)*(p**2 - 6*p**2 + 0*p**2) - 3*p**5 + 0*p**5 + p**5.
-16*p**5
Expand (u + 0 + 0)*(4 | {
"pile_set_name": "DM Mathematics"
} |
x**2 + s*x**2 - x**2. Let j(g) = -g - 1. Let z(w) = -7*w - 4. Let q(v) = 4*j(v) - z(v). Determine q(y(u)).
3*u**2
Let r(w) = 3*w**2. Let l(y) = -1079*y. What is r(l(v))?
3492723*v**2
Let x(m) = -3*m**2. Suppose -3*w + 2*w = -3. Let i be (-2)/2*w*-1. Let s(l) = 4 - l**2 - 1 - i. What is s(x(r))?
-9*r**4
Let t(q) = -4*q - 3. Let v(a) = -3*a - 2. Let x(y) = 4*t(y) - 6*v(y). Let z(s) = 16*s. Determine x(z(h)).
32*h
Let h(v) = v**2. Let d(b) be the first derivative of 4 - 9/2*b**2 + 0*b. Give h(d(q)).
81*q**2
Let a(l) = 2*l**2. Let d be 6/(-5)*(-25)/10. Let m(b) = -22 - d*b + 22. Give m(a(j)).
-6*j**2
Let c(g) be the third derivative of 0 + 0*g - 1/6*g**4 + 3*g**2 + 0*g**3. Let x(w) = w**2. Give x(c(a)).
16*a**2
Let v(f) = -3*f + 5. Let r(b) = -2*b**2 + b. Let x be r(-1). Let p(c) = 2*c - 3. Let s(a) = x*v(a) - 5*p(a). Let n(g) = -4*g**2. Determine n(s(t)).
-4*t**2
Let f(a) be the third derivative of 2*a**4/3 + a**2. Let o(t) = 2*t**2. What is f(o(k))?
32*k**2
Let j(w) be the first derivative of 5*w**2/2 - 4*w + 1. Let z(f) = -4*f + 3. Let u(v) = 3*j(v) + 4*z(v). Let n(y) = -15*y**2. Give u(n(k)).
15*k**2
Let u(d) = -2*d**2. Let b = -3 - -9. Let l(h) = 2*h**2 + 2*h**2 - b*h + 6*h. Calculate l(u(f)).
16*f**4
Let l(f) be the second derivative of -f**4/3 + f. Let i(z) = 2*z**2 + 3. Let u(r) = -6*r**2 - 10. Let m(y) = -10*i(y) - 3*u(y). Determine m(l(x)).
-32*x**4
Let z(y) = -2*y. Let h(b) be the second derivative of -3*b**4/2 - b - 13. What is z(h(u))?
36*u**2
Let v(r) = -6501*r. Let q(m) = -3*m. Determine q(v(p)).
19503*p
Let d(y) = 7*y. Let w(b) be the third derivative of b**4/24 + 2*b**2. Calculate w(d(t)).
7*t
Let h(s) = s**2 + s + 5. Let j be h(0). Let o(d) = j - 5 - d**2. Let f(n) be the first derivative of 2*n**3/3 + 11. Determine o(f(l)).
-4*l**4
Let b(s) be the third derivative of 2*s**4/3 - 7*s**2. Let y(i) = -i. What is y(b(t))?
-16*t
Let d(t) be the first derivative of 2 + 0*t**2 + 0*t + 1/3*t**3. Let l(g) = 4*g**2. Calculate d(l(h)).
16*h**4
Let v(g) = 5*g**2. Let c(h) be the third derivative of 0*h**3 + h**2 + 0 + 0*h**4 + 1/30*h**5 + 0*h. Calculate c(v(r)).
50*r**4
Let k(v) = v**2. Let w(h) = -6262*h**2. Determine w(k(x)).
-6262*x**4
Let u(o) = 3*o**2. Let b = 12 - 10. Let j(v) = 3 - 2 + 3*v**b - 1. Determine j(u(c)).
27*c**4
Let q(i) = 3817*i**2. Let g(b) = b**2. Give q(g(h)).
3817*h**4
Let b(m) = 0*m - m - 2*m. Let i(f) = -9*f. Let r(q) = -4*q. Let o(u) = 6*i(u) - 13*r(u). Give b(o(h)).
6*h
Let z(x) be the second derivative of -x**3/6 - x - 39. Let d(f) = -95*f**2. Give z(d(l)).
95*l**2
Let d(c) = 16*c - 4. Let b(v) = 81*v - 21. Let a(s) = -4*b(s) + 21*d(s). Let j(x) = -4*x. Give j(a(q)).
-48*q
Let g(o) = -2*o**2. Let f(l) = -4*l - 2. Let m(n) = -4*n - 2. Let w(r) = 2*f(r) - 3*m(r). Determine g(w(j)).
-32*j**2 - 32*j - 8
Let r(j) = -j**2. Let v(q) = 426*q**2. Determine r(v(x)).
-181476*x**4
Let k(z) = z**2 - 1. Let u(i) = 4*i**2 - 3. Let x(v) = 3*k(v) - u(v). Let h(g) = -2*g**2. Give h(x(c)).
-2*c**4
Let j(w) = -19*w**2. Let a(m) = 4*m. What is a(j(z))?
-76*z**2
Let v(k) = -k**2 - 10*k + 13. Let r be v(-11). Let i(w) = -2*w**r - 1 + 1. Let d(n) = -n. What is i(d(u))?
-2*u**2
Let y(k) = -k. Let v(n) = 2*n - 12. Let h(x) = -x + 8. Let o(a) = 8*h(a) + 5*v(a). Let d(t) = -2*t - 3. Let f(i) = 4*d(i) + 3*o(i). Determine y(f(u)).
2*u
Suppose 4*l = -4*i - 12, i + 0*i + 4*l = -12. Let y(m) be the second derivative of 0*m**2 - 1/3*m**3 + i - 2*m. Let b(c) = 2*c**2. Calculate y(b(r)).
-4*r**2
Let p(v) = 0*v**2 + v**2 + v**2. Let j(i) be the second derivative of -i**6/720 - i**4/12 + i. Let l(f) be the third derivative of j(f). Calculate l(p(k)).
-2*k**2
Let n(c) = 45*c + 3. Let h(u) = -2*u. Give n(h(f)).
-90*f + 3
Let s(n) be the second derivative of n**4/6 + n. Suppose 3*r + 14 = 8. Let i(f) = f. Let j(q) = -q. Let g(d) = r*i(d) - 5*j(d). Give g(s(b)).
6*b**2
Let y(l) = l**2 - 2*l + 1. Let i be y(1). Let m(w) = i + w + 0 + 0. Let p(z) be the second derivative of -z**4/6 + z. Calculate p(m(v)).
-2*v**2
Let j(w) be the first derivative of w**2/2 + 20. Let x(h) = 2*h. Give j(x(n)).
2*n
Let b(j) = -2*j**2. Let s(l) = 15*l**2 + 16. What is b(s(a))?
-450*a**4 - 960*a**2 - 512
Let s(b) = -471*b. Let m(i) = -17*i**2. Determine m(s(j)).
-3771297*j**2
Let j(k) = 2*k + 4636. Let d(n) = 2*n**2. Calculate j(d(f)).
4*f**2 + 4636
Let c(z) be the second derivative of -z**3/6 - z. Let r(y) be the third derivative of 0*y - 4*y**2 + 0*y**4 + 0 + 0*y**3 - 1/60*y**5. Calculate c(r(t)).
t**2
Let o(f) = 2*f. Suppose -4*j + 3*t = -15, -2*j - 4*t = -6*j + 20. Suppose j = 4*b + b - 15. Let r(k) = -b*k - 8*k + 10*k. Give r(o(n)).
-2*n
Let i be 4 + -4*1/(-4). Let w(m) = 10*m + 5. Let q(a) = 5*a + 2. Let p(z) = i*q(z) - 2*w(z). Let l(g) = -g. Calculate p(l(h)).
-5*h
Let j(b) be the third derivative of -b**6/180 - b**3/3 - 3*b**2. Let o(f) be the first derivative of j(f). Let a(k) = -3*k**2. What is a(o(p))?
-12*p**4
Let v(j) = -20*j**2 - 25. Let p(h) = 2*h**2. Determine p(v(s)).
800*s**4 + 2000*s**2 + 1250
Let a(y) = -572*y. Let r(d) = 20*d. Determine r(a(j)).
-11440*j
Let c(g) = 2*g. Let x be (-10)/(-6) - 3/(-9). Let h(j) = -x*j**2 - j**2 + 2*j**2. Calculate c(h(o)).
-2*o**2
Let v(a) = -a + 1. Let l(b) = 14*b**2. Give l(v(c)).
14*c**2 - 28*c + 14
Let m(b) = 38*b - 4*b**2 + 9*b**2 - 38*b. Let a(v) = -4*v**2. Calculate a(m(p)).
-100*p**4
Let v(r) = 0*r - 2*r + 4*r. Let k(w) = -5*w + 5*w - w - 3*w. What is k(v(n))?
-8*n
Let y(l) = 2*l + 3. Let u(p) = p + 2. Let s(v) = -3*u(v) + 2*y(v). Suppose -31 + 11 = -4*w. Let z(x) = 5*x - w*x + 4*x. Calculate s(z(t)).
4*t
Let c(f) = -33*f. Let u(v) be the third derivative of -v**5/30 + 2*v**2. Calculate u(c(s)).
-2178*s**2
Let x(b) = 4*b**2. Let h(m) be the second derivative of -13*m**4/12 - 3*m. What is h(x(f))?
-208*f**4
Let q(a) = -1977*a**2. Let s(c) = -4*c**2. Calculate q(s(i)).
-31632*i**4
Let s(q) = -5*q - 6. Let n(d) = 6*d + 7. Let w(l) = -6*n(l) - 7*s(l). Let g(o) = 5*o. Calculate w(g(r)).
-5*r
Let h(s) = 4*s - 6*s + 0*s. Let q(i) = -2. Let b(p) = p - 9. Let n be 4/(-8)*(2 - -34). Let r(x) = n*q(x) + 4*b(x). Calculate h(r(g)).
-8*g
Let q(r) = 28*r**2 + 2*r. Let b(v) = 13*v. What is q(b(t))?
4732*t**2 + 26*t
Let h(w) = -w. Let o(l) = -l**2 - 58*l. Determine o(h(y)).
-y**2 + 58*y
Let g(i) = 4*i**2. Let y(z) = -10*z + 7*z + 5*z. Let p be y(1). Let s(d) = 1 - p*d + 3*d - 1. Give g(s(f)).
4*f**2
Let k(p) = -p**2 + 2*p**2 + 0*p**2. Let s(t) = t**2 - 1. Let i = -7 + 10. Let c(a) = 6*a**2 - 7. Let d(l) = i*c(l) - 21*s(l). Give d(k(q)).
-3*q**4
Let a(f) = 4*f**2. Let o(b) = 52*b. Calculate a(o(i)).
10816*i**2
Let q(k) = k - 1. Let x(d) = -2. Let l(u) = -4*q(u) + 2*x(u). Let m(s) = 2*s**2 - 5*s**2 + s**2 - s**2. Give m(l(n)).
-48*n**2
Let l(r) = -3*r. Let f(p) = 8*p + 13*p - 7*p. Give f(l(c)).
-42*c
Let t(m) = -2*m**2. Let y(h) = -1070*h. Calculate y(t(w)).
2140*w**2
Let h(t) = 2*t**2 - 2*t. Let y(v) = 2*v**2 - 3*v. Let g(z) = 3*h(z) - 2*y(z). Let j(d) = 6*d + 0*d - 5*d. What is j(g(i))?
2*i**2
Let k(h) = 9*h + 5. Let y(l) = -55*l**2. What is k(y(o))?
-495*o**2 + 5
Let c(r) = 53*r**2. Let b(a) = -288*a**2. Give c(b(h)).
4396032*h**4
Let n(r) = 26*r - 17*r - 11*r. Let o be 0 + 3 - (2 - 1). Let x(l) = 4*l**2 - 2*l**o + l**2. Determine n(x(s)).
-6*s**2
Let a(m) = -2*m**2 + 148*m - 6*m**2 - 148*m. Let f(u) = 3*u. Determine f(a(k)).
-24*k**2
Let p(u) be the third derivative of u**4/24 + 3*u**2. Let z be -2*1 + 2 + 1. Let y(s) = s - 1 + z. Determine y(p(m)).
m
Let j(y) = -y**2. Let n(a) = a**2 - 4*a**2 - 2*a**2. Calculate n(j(k)).
-5*k**4
Let p(d) be the second derivative of -d**3/6 - d. Let u(s) = -19*s - 1 + 1 + 21*s. What is u(p(l))?
-2*l
Let j(a) = 3*a - 16. Let t(s) = 18*s. What is t(j(h))?
54*h - 288
Let p(v) = -3*v - 36 + 2*v + 36. Let b(y) = -18*y**2. Determine p(b(l)).
18*l**2
Let p(x) = 3*x**2. Let q(y) = 31*y**2. What is q(p(i))?
279*i**4
Let l(u) = 3*u - 12*u - 4 + 4. Let c(h) = -3*h. Calculate c(l(b)).
27*b
Let g(c) be the first derivative of 3/2*c**2 + 0*c - 2. Let a(j) = 3*j. What is g(a(i))?
9*i
Let j(z) be the first derivative of -2*z**3/3 + 96. Let m(x) = -x**2 + 0*x**2 - x**2. Determine j(m(k)).
-8*k**4
Let g(x) = 2*x**2. Suppose 5*z - 15 + 5 = 0. Suppose -z - 6 = -4*b. Let w(t) = 2*t**b - 2*t**2 - 2*t**2. Calculate w(g | {
"pile_set_name": "DM Mathematics"
} |
number?
True
Let v(a) = -2110*a - 21. Let l(y) = -27*y - 247. Let c be l(-9). Is v(c) composite?
False
Let v(n) = -347003*n**3 - 16*n**2 - 19*n - 1. Is v(-1) a composite number?
True
Let m(a) = -a**3 + 11*a**2 - 5*a - 19. Let u be m(10). Suppose 18*p - 5 = u. Suppose -o + 215 = -g - g, 5*o - p*g = 1059. Is o a prime number?
True
Suppose 10*j - 5*j + 1765 = 0. Let s be ((-21)/6)/((-5)/520). Let l = s - j. Is l prime?
False
Is (-29 + (-19 - -41))/(1/(-71699)*1) prime?
False
Suppose 0 = 3*b - 5*d - 984, 4*d + 2 = -10. Let u = 2256 + b. Is u composite?
False
Suppose -4*k + 5*p - 9491 = 0, 0 = 5*k - 7*p + 3*p + 11866. Let q = k + 11151. Is q prime?
False
Let x(d) = -4*d + 16. Let m be (1 + 1)/((-3)/(-6)). Let y be x(m). Suppose 5*q + 2*s = 7415, y = 3*s - s - 10. Is q composite?
False
Let v = -208 + 208. Is 6531 + (8 - -2) + v/(-2) a composite number?
True
Suppose 0 = 3*h - 5*o + 5, o + 1 = 2*h - h. Suppose -4*j + h = -3. Suppose -j*i - 1912 = -4*n, -2*i + 912 + 50 = 2*n. Is n a prime number?
True
Let q = 6116 + -2283. Let w = 9322 - q. Is w a composite number?
True
Suppose 0*h - 3*g = -5*h + 310425, -4*g = 0. Suppose -5*i - 12446 = -b, 4*i = -0*b - 5*b + h. Is b prime?
True
Let z = -11542 - -21621. Is z prime?
True
Suppose -3 = -12*q - 27. Let u(r) = -293*r**3 - 5*r**2 - 7*r - 5. Is u(q) a prime number?
True
Suppose -1324 = -4*q + 2260. Let c = -217 + q. Is c a composite number?
True
Suppose 0 = 5*z - u + 2*u - 59, 21 = 2*z + 3*u. Let j(s) = 189*s - 55. Is j(z) a prime number?
True
Let s(b) = -b**3 + 64*b**2 - 94*b - 352. Is s(55) a composite number?
True
Let x = -860 + 23. Is (116/(-12))/(9/x) composite?
True
Suppose 385 = 11*v - 605. Suppose 4*l - 12*i + 13*i = 428, -l = -4*i - v. Is l composite?
True
Let u = 22055 - 1206. Is u a prime number?
True
Is 3816 - (952/392 + (-6)/14) composite?
True
Let n = 47142 - -15029. Is n composite?
False
Suppose 4 = -k, -824 = 4*q - k + 3*k. Let f = q + 395. Is f composite?
False
Let r = -15 - -6. Let f(z) = 196*z**2 + 6*z - 7. Is f(r) a composite number?
True
Let v(c) = -804*c**2 + c + 2. Let a be v(-1). Let y = 246 - a. Is y composite?
False
Suppose q + q = -660. Is 2 - (0 - -1) - q composite?
False
Let q = -5 + 8. Let g be 0/(2 - 2 - -2). Suppose q*s + 2*s - 785 = g. Is s a composite number?
False
Let g(i) = 17*i**2 - 7*i + 31. Let q be ((-24)/(-12) - 17*1) + 5. Is g(q) a prime number?
True
Let p(b) = -b**2 + 18*b - 21. Suppose 8*d - 95 = 41. Let m be p(d). Is 2031/(m/((-48)/9)) + -1 a composite number?
False
Let m(c) = 71*c**2 - 4*c - 5. Let v be m(-4). Let t = v - 517. Suppose -3*n = -993 - t. Is n a composite number?
False
Let s(b) = -7*b**2 - 848*b - 68. Is s(-101) prime?
True
Let o(w) = -41*w + 1058. Let p be o(26). Let d = -10 - -14. Is 1 + 686 + p + d a composite number?
False
Let o = 15 + -17. Let d(z) = -233*z + 391 - 390 - 441*z. Is d(o) a prime number?
False
Let i(q) = -13777*q + 3904. Is i(-19) prime?
False
Let z = -29631 + 44134. Is z prime?
True
Let l(d) = d**2 + 12*d - 1. Let q(i) = i**2 + 14*i - 2. Let u(f) = -4*l(f) + 3*q(f). Let t be u(-5). Is 9786/28*2/t a prime number?
True
Let g be (-2 + 1)/((-4)/(-40)). Let b be 5/g - 0 - (-1)/2. Suppose 2*x - 2*i - 1334 = b, 5*x - x = -2*i + 2668. Is x a composite number?
True
Is (-9)/(99/(-182732)) + (-2 - (-10 + 1)) composite?
False
Let x(l) = -l**3 - 7*l**2 + 3*l + 5. Let i be x(-7). Let o(q) = -9*q**3 - 6*q - 4*q**2 + 23*q**2 + 9*q**3 - 35 + q**3. Is o(i) prime?
True
Suppose 2*r = -5*s + 2009, -2*s + 21*r = 20*r - 800. Let x = -274 + s. Is x composite?
False
Let n be 10*(-2 - (-12)/8). Let c(f) = -11*f**3 - 3*f**2 - 5*f + 2. Is c(n) prime?
True
Let j(i) = -31*i + 24. Let z = -81 + 72. Is j(z) a prime number?
False
Let j be ((-8)/6)/((-8)/(-6) + -1). Let i = j - -9. Is i*5/50 - (-6002)/4 a prime number?
False
Suppose -g + 2 = 0, 3*w + 2283 = -2*g + 5*g. Let n = -333 - w. Let a = n + 5. Is a a prime number?
True
Let u = -3380570 + 4842203. Is u a prime number?
False
Let k(m) = 15914*m**2 - 165*m + 10. Is k(3) composite?
True
Let j = 382777 + -140406. Is j prime?
True
Is 3/(-27)*2 - (6 - (-19937235)/(-135)) prime?
False
Let t = 90505 - -128344. Is t prime?
True
Let a = -354 + 330. Is 7769*-8*3/a prime?
False
Let c(v) = -50749*v - 91. Is c(-6) a composite number?
True
Let o(u) = 162*u - 6. Let x be o(2). Suppose -2*t = -5*f - x, 0*t + 2*f = 3*t - 477. Let l = t - -3480. Is l a composite number?
True
Suppose -9*v + 4*g + 20170 = -4*v, 2*v - 8056 = 4*g. Is ((-10)/(100/v))/((-2)/10) prime?
False
Suppose 4*m - 3*b - 3068 = 0, 3*b = 5*m + 2*b - 3835. Suppose -m*v + 762*v + 90065 = 0. Is v prime?
True
Let i = -1001 + 339. Let p = 997 + i. Is p prime?
False
Let t(k) = 8*k**2 + 151*k - 47. Is t(76) a composite number?
False
Let j(d) = d + 19 + 2*d + 1. Let z be j(-7). Let c(k) = -159*k - 2. Is c(z) composite?
False
Let u(v) = -674*v**3 + 8*v**2 - 137*v - 941. Is u(-6) prime?
True
Let k be 5*((-20)/(-35) - 6/(-14)). Suppose k*t = 4*m - 149373, 5*m = -5*t + 85174 + 101486. Is m composite?
False
Suppose 3 = 31*z - 30*z. Suppose -q - 2*x = 3*q + 9648, -z*x = -3*q - 7245. Let t = -440 - q. Is t composite?
False
Let z(s) = 22*s**2 + 294 - 395 - 11*s**2 + 0*s**2 + 14*s**2 + 21*s. Is z(11) a prime number?
False
Suppose 2*k = -38*k + 9240399 + 2928921. Is k a composite number?
True
Let o(d) = -15*d + 29. Let s be (-16)/3*(-6)/(-4). Is o(s) a composite number?
False
Let w = -1008037 - -2190290. Is w prime?
True
Is (-10)/4 + (-3 - 2355558/(-12)) a prime number?
True
Let t(j) = -j**3 - 7*j**2 + 4. Let m be t(-7). Suppose 7 = -4*p + 2*o + 15, -3*p = -o - m. Suppose -b = p, -3*l + l - b = -818. Is l composite?
False
Let o(g) = -8*g**2 + 33*g - 16. Let w be o(14). Let a = w + 2081. Is a composite?
True
Let u = -115 + 172. Let i = u + -62. Is 3*4/(-30) + (-807)/i composite?
True
Let x be -7 + 10/1 + -3. Is (-4 - -150)*(x + 17/2) prime?
False
Let a(h) = 10*h**2 + 10*h - 34. Let y(d) = -29*d**2 - 31*d + 102. Let s(x) = -8*a(x) - 3*y(x). Is s(-15) composite?
True
Suppose -54432 - 83895 = 147*v. Suppose -2*p - 2305 = 2*p - d, -3 = -3*d. Let m = p - v. Is m a composite number?
True
Suppose -h + 2 = 3, 2*n + h = 7. Suppose -4 = 5*c + 1, n*c = -3*a + 2474. Suppose -r = o + r - 411, -2*o - 2*r + a = 0. Is o composite?
True
Suppose -6*k + 212 = o - 5*k, -4*k = -o + 197. Let z = o - -14. Is z a composite number?
False
Let f(y) = -43*y**3 - 11*y**2 + 31*y + 110. Is f(-13) prime?
False
Suppose -14*m + 5*m = -25479. Suppose -9*y + m = 10*y. Is y composite?
False
Let c(d) be the third derivative of -d**6/120 - d**5/60 + d**4/24 + 7*d**3/6 - 8*d**2. Let i be c(0). Suppose t + 258 = i*t. Is t a prime number?
True
Let f = 782130 + -481423. Is f composite?
True
Let l(a) = -2*a**2 - 3498. Let m be l(0). Let w = m + 5412. Let b = -553 + w. Is b composite?
False
Let p = 132 + -131. Is 14366/((p + -2)/(1/(-2))) composite?
True
Suppose 0 = -2*b - 4*a + 12128, -25*b + 28*b + a = 18192. Suppose 11*j - b = -5*j. Is j a composite number?
False
Suppose -21 = 4*x - 265. Let j = -60 + x. Is ((-1274)/(-2) + -1 + -1)/j a composite number?
True
Suppose q + 2*f - 97211 = 0, 127*q - 131*q + 3*f = -388855. Is q composite?
False
Let k(y) = -5283*y - 37. Suppose -25*r = 16*r + 82. Is k(r) a prime number?
True
Let u be 0 + 2 + 0 + -2. Suppose -z + u*z = 6. Let y(w) = -2*w**3 - 4*w**2 + w + 11. Is y(z) a prime number?
True
Let q(n) = n**3 + 48*n**2 - 377*n + 77. Is q(-50) a prime number?
False
Let z(o) = 2*o**2 - o - 517. Let v(t) = -3*t**2 + 2*t + 1032. Let a(y) = 3*v(y) + 5*z(y). Is a(0) prime?
False
Let o be (-88)/12 + 7 + 119770/30. Suppose 0 = 5*z - 319 - 436. Let b = z + o. Is b composite?
True
Let s be ((-3)/(45/(-1210)))/(2/6). Let d = s - 451. Let b = d - -358. Is b composite?
False
Suppose -3*d - 45*w + 47*w + 760205 = 0, -3*w + 506812 = 2*d. Is d composite?
True
Let y be (-616)/(-18) + 6/(-27). Suppose 28428 = y*h - 30086. Is h composite?
False
Let q be (10/14)/(-5) - 4650/(-14). Suppose 0 = 5*f + q - 2747. Suppose f = 5*z - 182. Is z a prime number?
False
Let a(i) be the third derivative of -455*i**4/24 + 4*i**3 - i**2 + 47*i. Is a(-10) a composite number?
True
Suppose -2*n = 3*y - 6*y + 15965, 4*y + 2*n = 21310. Let f = y - -614. Is f a prime number?
True
Suppose -2*w = -l + 1, 0 = -4*w + w - 3*l | {
"pile_set_name": "DM Mathematics"
} |
6) a composite number?
False
Let a be ((-4)/(-5))/((-8)/20). Let m = a - -8. Is m composite?
True
Suppose 3*h - 29 - 7 = 0. Let c = h - 6. Let p(g) = g + 8. Is p(c) a composite number?
True
Suppose 3*n = -5*a + 1090, n - 3*a - 368 = -0*n. Is n a prime number?
False
Suppose 4*x - 40 = -2*l - 4, 0 = 3*x - 12. Is l a prime number?
False
Let b(m) = -m + 119. Is b(0) composite?
True
Is (2722/(-4))/(4 + (-18)/4) composite?
False
Suppose 0 = -s + t + 636, -3*s + 1898 = -0*t - t. Is s a prime number?
True
Let u(c) = 14*c**2 + c. Let z(g) = g**3 - 6*g**2 - 8*g + 8. Let y be z(7). Let w be u(y). Let x = w - 0. Is x composite?
True
Let t = 5 - 2. Suppose -2*x + 35 = t*x. Is x a composite number?
False
Let g = -19 - -127. Let r = 19 - 90. Let i = g + r. Is i a composite number?
False
Let m = 7 + -5. Suppose -44 = -b - 4*p + 51, -p = -m. Is b prime?
False
Let t be (-4)/(-4) - 2 - -92. Let n = -54 + t. Is n prime?
True
Suppose -7*m + 20 = -2*m - 5*b, -2*m - 2*b + 8 = 0. Suppose 5*h - 10 = 0, -m*h = 3*a - 7*a + 300. Is a prime?
False
Let w be (8/14)/(2/7). Suppose 0 = -2*j - w*j + 628. Is j composite?
False
Suppose 124 = 9*j - 5*j. Is j a composite number?
False
Suppose 3*a + 4 = 4*m, -4 = m - 0*a - 2*a. Suppose -i - i - 107 = -o, 0 = -m*o - 4*i + 452. Is o a prime number?
False
Let g(d) = d**2 + 5*d - 2. Let j be g(-6). Suppose -j*i - 11 = 5, -l + 6 = -i. Suppose -44 = -l*r - 2*r. Is r a prime number?
True
Let w(x) = 3*x**2 - x - x**2 - 1 + 0*x**2. Let v be w(-1). Is (49 + 0 - v) + 0 a prime number?
True
Let j be 3 + (-3)/(-1)*-1. Suppose 8*w - 5*w = 5*z - 234, -z - w + 50 = j. Let u = -33 + z. Is u a composite number?
True
Suppose -928 = -5*j - 3*t, -2*j + 267 + 93 = 4*t. Suppose 0 = 5*f + 2*s - 1109, j + 273 = 2*f - 5*s. Is f a prime number?
True
Suppose 2*u = -2*j, -2*j - 8 = 3*u - 5*u. Is 16 + (-1 - -1 - u) a prime number?
False
Let p(x) be the third derivative of 4*x**4/3 - 11*x**3/6 - 2*x**2. Is p(5) a composite number?
False
Let u(f) = -f**3 + 3*f**2 + 15*f + 3. Let k be u(7). Let s = k + 237. Is s prime?
True
Let r = 316 - 222. Let s(v) = v + 3. Let o be s(0). Is r*(o + (-5)/2) a composite number?
False
Let j = 13 - 11. Is (39/26)/(j/20) a prime number?
False
Let u(g) = -g**3 + 5*g**2 - 2*g - 7. Let c be u(3). Suppose -c*d + t + 3*t = -1319, -3*d + 813 = 3*t. Is d composite?
True
Let a(g) = 3*g**2 - 5*g - 4. Let m be a(4). Suppose -m + 1679 = 5*j. Is j a prime number?
True
Let f(t) = 7*t**2 + 3*t - 5. Let z be f(-7). Let s = -224 + z. Is s a prime number?
False
Suppose f + 2*c = 295, -f - 5*c + 266 = -20. Is f a composite number?
True
Let v(i) = -61 + 2*i**3 + 4*i + 122 - 65 - 3*i**2. Suppose -u - 1 + 4 = 0. Is v(u) a prime number?
False
Is 1877/4 + (-9)/36 a composite number?
True
Suppose -3*i + 6*i - 12 = 0, 2*q = -5*i + 246. Is q a composite number?
False
Suppose -4*w + l - 673 = 0, 2*w - 44 = 2*l - 376. Let u = -26 - w. Is u composite?
True
Is 113 + (-4)/(-8)*4 composite?
True
Let u(c) = -c**3 + 15*c**2 + 11*c - 10. Let g(z) = -2*z - 9. Let n be g(-12). Is u(n) composite?
True
Let f(v) = -v**3 + 6*v**2 + 8*v - 4. Let g be f(7). Suppose g*i - 84 - 21 = 0. Is i a prime number?
False
Suppose 2*x = -x - 4*h - 11, -5*h - 34 = -3*x. Suppose -9 - x = -4*n. Suppose m + 5*b + 35 = 6*m, -n*m - 3*b = -15. Is m a composite number?
True
Suppose 0*u + 3*u = 0. Suppose 11 = -r + 143. Suppose u = 3*b - 33 - r. Is b prime?
False
Suppose -w - 4*w + 5904 = -4*r, 0 = -2*w - 8. Let u = r + 2320. Is u a composite number?
False
Suppose 4*k - 17 = 291. Is k prime?
False
Let g(d) = -20*d - 3. Let a be g(-6). Let s = -28 + a. Is s a composite number?
False
Suppose -13*y = -15*y + 1774. Is y prime?
True
Let n be (-1)/(-3) + (-12)/9. Suppose -2*x - 13 = 19. Let c = n - x. Is c a prime number?
False
Let w(h) = -2*h + 1. Suppose -5*d = -2*d + 6. Let p be w(d). Suppose 0*r - 4*n = 5*r - 145, -180 = -p*r + 3*n. Is r prime?
False
Let w(j) be the third derivative of -j**6/120 + j**5/30 - j**4/6 - j**3/6 + 3*j**2. Let y be w(-4). Let m = -14 + y. Is m a prime number?
True
Let w be (-5)/2*12/(-15). Suppose -w*y + 3*h + 8 = 0, -3*h - 4 + 0 = -y. Suppose -y*j - 12 = 0, 8*r - 4*j = 3*r + 247. Is r composite?
False
Let n(u) = -u**2 - 14*u - 1 + 5 + 2. Is n(-7) a prime number?
False
Suppose -169 = 3*n - 1000. Suppose 5*a - n = -3*r, -r + 66 + 21 = -a. Is r a composite number?
False
Suppose 0 = -x - 4 + 7. Suppose x*v = 124 + 125. Is v a prime number?
True
Let w(f) = -41*f**3 + 3*f**2 + 5*f + 4. Is w(-3) a prime number?
True
Let f(z) = 291*z + 4. Is f(3) prime?
True
Suppose 48 = -4*k - 3*b - 16, 4*k - b + 64 = 0. Let h = 9 - k. Is h a prime number?
False
Let i(j) = 2*j**3 + 8*j**2 + 4. Let p be i(-4). Suppose -5*b - 90 = -4*s + s, 3*s - p*b = 93. Is s a prime number?
False
Suppose 634 = p + p. Is p a composite number?
False
Suppose 4*r = -g + 9, 4*r - 17 = 4*g + 27. Let u = 11 + g. Is u a composite number?
True
Let v(m) = 2*m**2 + 11*m + 6. Let s be v(-8). Let a = s - -81. Is a a composite number?
False
Let n be (-3 - -5)/(4/6). Suppose 4*u - 2*b - 85 = 3*b, -4*u + n*b + 75 = 0. Is u a composite number?
True
Let d = -9 - -5. Is ((-106)/4)/(d/8) a prime number?
True
Suppose 6*d = 3*d + 744. Suppose -2*z - d = -3*l - 7*z, 3*l = 2*z + 241. Suppose 5*w + l = 3*c, 0*w = 4*c + 2*w - 82. Is c a composite number?
True
Suppose -484 = 3*o + 125. Let b = -124 - o. Is b composite?
False
Let k(b) be the first derivative of 3*b + 2 - b**2 - 1/4*b**4 + 5/3*b**3. Is k(3) composite?
True
Suppose -3*v = 3*v - 3378. Is v a composite number?
False
Let x be 53 - 0*(-2)/6. Let n = 162 - x. Is n composite?
False
Suppose a + 4*a + 34 = 4*k, 0 = 2*a + 2*k + 10. Let m(y) = -2*y**3 - 7*y**2 - 3*y + 1. Is m(a) a composite number?
False
Let c(n) = n**3 - 6*n**2 + 2*n - 10. Is c(7) a composite number?
False
Suppose 20 = -2*z + 4*z. Let l(d) = -d**2 + 9*d + 12. Let t be l(z). Suppose -t*n + 91 = -j, 4*n - 5*j = 5*n - 51. Is n a prime number?
False
Let z(a) = -3*a**3 + 24*a**2 + 5*a + 7. Is z(6) composite?
True
Suppose 0 = a - 0 + 2. Let s(n) be the third derivative of n**5/12 + n**4/24 + n**3/6 - n**2. Is s(a) a composite number?
False
Let z(y) be the second derivative of -5/2*y**2 + 1/6*y**4 + 0 - 1/2*y**3 - 2*y. Is z(6) composite?
True
Suppose -1965 = -2*k + k + 5*s, -4*k = -3*s - 7792. Is k a prime number?
False
Let z = 253 + -368. Let a = -38 - z. Is a prime?
False
Let s be (2 + -2 + 1)*3. Suppose 186 = -3*l + s*q, 2*q - 71 = l - 2*q. Let b = l - -93. Is b a prime number?
False
Let c be 3*12/(-9) + 11. Let m = 48 + c. Is m prime?
False
Let s(o) = -2*o + 44*o + o - 4 + 20*o. Let d be s(4). Suppose -y + 11 = -d. Is y prime?
False
Let t(r) = r**2 + 4*r - 2. Let u(a) be the second derivative of -a**4/2 + a**3/3 - a**2/2 - 2*a. Let c be u(1). Is t(c) a prime number?
True
Let n(t) be the second derivative of 2/3*t**3 + 5/12*t**4 + 0 + t**2 - t. Is n(-2) prime?
False
Suppose 4*n = 6*n - 2998. Is n a prime number?
True
Suppose 2*x + 2 = -110. Let w = x + 95. Suppose -21 - w = -4*u. Is u a composite number?
True
Let x be 6/(-9) + 3098/3. Suppose l + 2*v - 292 = 0, 2*v - 142 = -4*l + x. Is 2/(-4*(-3)/l) prime?
False
Let c be (-22)/(-6) - (-2)/(-3). Let r(v) = -c*v**2 - 3 - 2*v + 3*v**2 + v + v**2. Is r(7) a composite number?
True
Suppose -4*a - 12 = -40. Let m(r) = 3*r**2 + 2 - 12*r + 3*r - 1. Is m(a) prime?
False
Suppose 0 = 5*n + r - 3 - 35, 4*n - 34 = -2*r. Suppose n*d = 3*d + 1864. Suppose d = 3*q + i, 5*q - 5*i + 0*i - 810 = 0. Is q a composite number?
False
Suppose -19 = 2*n - 7. Let u = n + 4. Is (3 + u)*(1 + 13) a prime number?
False
Suppose 4*c + 6 + 10 = 0. Let n = c + 6. Suppose 25 = n*b - 229. Is b a composite number?
False
Let j(p) = 24*p - 2. Suppose -k - 3*i + 17 = 0, 3*k - i + 3 - 4 = 0. Is j(k) composite?
True
Let y(s) = 151*s - 13. Is y(12) composite?
True
Let g(d) = -2*d - 12. Let u be g(-9). Let l = -4 + u. Is l - (-1)/1*35 composite?
False
Suppose -26 + 6 = -5*m. Let c be (-1)/m - (-930)/(-24). Let q = 64 + c. Is q prime?
False
Let c(o) be the second derivative of -o**4/12 + 5*o**3/6 - o**2/2 + o. Let w be c(3). Suppose -274 = -w*h + m, -2*h - m = 2*h - 221. Is h prime?
False
Let n(i) = 5273*i**2 - i - 1. Is n(-1) prime?
True
Let g be 504 + (-2)/(-2) + 2. Suppose g = 4*d - k, k + 2*k = d - 124. Le | {
"pile_set_name": "DM Mathematics"
} |
(-16 - -1)) + -12.
-1
Evaluate 14 - (-18 + 12 + (-3 - -3)).
20
Evaluate 829 + -818 - (3 + -1 + 2 + 0).
7
What is (-350 - -348 - (7 - (-2 + 1))) + 5?
-5
What is (7 - (-6 - -7)) + -17?
-11
Evaluate 5 - (47 - -1 - 17).
-26
Evaluate (62 - 48) + 2 + -3.
13
What is 29 + -20 + 3 + -22?
-10
What is -8 + -5 + (22 - -5)?
14
(-36 - (-10 - -2)) + (-2 - (3 + -1))
-32
What is the value of -4 - ((4 - -3 - (4 + -2)) + -6)?
-3
What is the value of 15 - 3 - (19 - 2) - 10?
-15
-8 + 2 + (57 - (19 - -35))
-3
(10 - (-2 - -5)) + -2 + 0
5
1 + 0 + 17 + -4
14
Evaluate -11 + 20 - (4 + 23 + (-3 - -9)).
-24
Evaluate -1 + 9 + -6 - -9 - (1 + 1).
9
(11 - (-9 - -15)) + 7
12
Evaluate -37 - 9 - -42 - 22.
-26
Calculate 14 - (-23 + 21 + 0).
16
Calculate 8 - ((6 - 9 - -4) + 2).
5
What is the value of -18 + -19 + 40 - (-3 - 1 - -22)?
-15
What is (10 - (4 - (13 - 27))) + -21?
-29
What is the value of -11 + 20 - (4 + 11)?
-6
What is the value of 3 - (11 + -19 - 8)?
19
What is the value of 12 - 2 - 12 - (-11 + -3)?
12
Evaluate -16 + -26 + 18 - -48.
24
What is (0 - -8) + (-40 - -14) + -3?
-21
Evaluate 42 - (46 + -19) - 21.
-6
-16 - -1 - (-16 + -6)
7
Calculate (-22 - 13) + 15 - -8.
-12
Calculate -51 - 0 - (126 + -157).
-20
Calculate 22 + 14 + -33 + -14.
-11
1 + (8 - (5 - (1 + -3 + 4)))
6
4 - (15 - (2 - (-9 + 2))) - -22
20
Evaluate 29 - (28 - 1) - -9.
11
What is the value of 41 - (43 + (-28 - -7))?
19
Evaluate -6 + (34 - 7) - 21.
0
Evaluate -9 + (47 - (7 - 7) - (12 - 4)).
30
Calculate 2 + -11 + (26 - (17 + -4)).
4
5 + (-36 - -10) + 16
-5
Calculate -9 + -7 + 12 + 1.
-3
-13 + 6 + -5 + -1 + 2 + -1
-12
What is 1316 + -1285 + (-2 - 6 - 1)?
22
What is 9 - (-5 - ((-8 - (8 + -1)) + 3))?
2
12 + 1 + 20 + -12 + -17
4
-19 - (20 - (9 - -20))
-10
What is 17 + (-5 - 0 - (5 + -7)) + 1?
15
Calculate -5 - (-13 - -3) - 1.
4
What is -12 + 4 + -57 + 57?
-8
Calculate 14 - (10 - 12) - 19.
-3
What is the value of -40 - (-39 + 17 + 4)?
-22
Calculate 1 + -3 - (40 - (19 + 9)).
-14
What is 25 - 26 - (-2 + (-1 - 8))?
10
Calculate (62 - 56 - (3 - 2 - -14)) + -2.
-11
Calculate -39 + 26 + 5 + 1 + 6 + -11.
-12
Calculate 3 + 4 + (9 + 0 - (13 - -14)).
-11
Evaluate (6 - -11) + (13 - (13 + -10)).
27
Evaluate 1 + -1 + (9 - (-4 + 7 - -3)).
3
Calculate 8 + -13 + 4 + -1 + 6.
4
What is 9 + (-7 - -4) + (-5 - (0 + 3))?
-2
What is the value of (6 - 0) + 2 + -7 + -10 + 18?
9
3 + 10 - (-17 + 15)
15
What is 5 + 10 + -1 + -8?
6
What is 18 + (-4 - 5) + -6?
3
Evaluate 15 + (-10 + -3 - -10).
12
Calculate (7 - (5 - 1) - 21) + 5.
-13
What is -4 - (25 + -7) - (11 - 6)?
-27
1 + -9 - (-13 + 57 + -43)
-9
4 + 3 + -20 + 19
6
What is 131 - 140 - (4 - 1)?
-12
Calculate -3 + 2 - 3 - (78 - 68).
-14
What is the value of ((25 - 6) + -8 - 7 - 11) + 6?
-1
What is the value of -26 + 38 - ((-3 - -3) + 5)?
7
What is 28 + -1 + 112 + -114?
25
What is (-13 + 4 + 12 + -9 - -2) + -9?
-13
What is the value of (0 - (-4 + (-2 - -7))) + (-15 - -9)?
-7
What is 25 - 5 - (4 + -7 + 5 + 6)?
12
23 + (3 - (12 - 9)) + 3
26
3 - (6 + -2 + 5) - (-6 - 7)
7
Calculate 32 + (15 - (-28 - -48)).
27
(0 - 9) + (-34 + 42 - (2 - -11))
-14
Calculate 0 + 14 + -1 + -15 - -13.
11
What is 16 + 20 + -6 - (12 - 2)?
20
What is the value of -3 + -5 + (2 - (3 - 6)) + 4?
1
25 - (41 - 31) - 33
-18
What is (-6 - -6) + (-17 - -9) + 5?
-3
Calculate (6 + 3 - 6) + -2.
1
What is 9 + (-11 - -8 - 4) + -4?
-2
What is the value of -10 - (-7 + 4 - -5 - -3 - 2)?
-13
7 + (2 - 12) - (-4 - 0)
1
What is -3 + 5 + -2 + (0 - -4)?
4
Evaluate 4 - -25 - 2 - 14.
13
Calculate -35 + 31 + 0 + 1 - (-17 - -13).
1
What is the value of -1 + 3 - (9 - (14 - -2))?
9
Calculate (1 - 0) + 14 + 1 + 47 + -48.
15
What is 8 - (-15 + 16) - (12 + -4)?
-1
What is the value of -219 - -205 - (9 + -3 - 35)?
15
Calculate (4 - (-3 + -7 - -6)) + 1.
9
Calculate 0 + -32 + (20 - -10).
-2
Calculate 18 - (16 - (-30 - -32)).
4
Calculate -6 - (2 - 4) - 8.
-12
Evaluate 0 - (18 + -10 - 4).
-4
974 + -953 + (-39 - 1)
-19
Evaluate 18 - (-16 - (2 - (16 + -7))).
27
What is 3 - -1 - (5 - 4) - 5?
-2
Evaluate (-7 - (-4 - 2)) + (-10 - -6) + -19.
-24
47 + -46 + (0 + 0 - (-25 - -29))
-3
(107 - 119) + -10 + (-4 - -1)
-25
What is the value of 7 - (-7 + 2 - (-2 - (-4 + 3)))?
11
(-1 - 0) + 12 + 34 + (-47 - -10)
8
Evaluate 1 - -8 - (0 - (3 + (7 - 10))).
9
-5 - (-12 + 8 + -7 + 13)
-7
What is the value of -8 - (4 - (17 + 4) - 6)?
15
Evaluate -8 - (-1 + -11 + 3 + 8).
-7
What is the value of 14 + -16 + 19 + -5?
12
What is -30 + 46 - (1 + 35)?
-20
Evaluate 10 + 2 + 30 + (-26 - -1).
17
Calculate 21 + 9 + (-3 - 27).
0
Calculate -76 - -37 - -37 - (28 - -2).
-32
What is the value of -51 + 1 + 10 + -63 + 69?
-34
What is the value of -47 + 24 + 12 - 5?
-16
What is the value of (10 - 4) + -20 + 5 + 0?
-9
What is the value of (-5 - -24) + (6 - 30)?
-5
Calculate (-35 - -11) + (9 - -3).
-12
Evaluate 25 + 23 + (-27 - -2).
23
What is the value of -3 - (36 - (2 + -3) - (75 + -71))?
-36
What is the value of 5 - 0 - (15 - (-11 - -31))?
10
Evaluate 6 - (5 - (6 + 10)).
17
Evaluate 0 + -6 + (21 - 11 - 2) - -2.
4
Evaluate (-43 - -24) + 16 + 24.
21
What is the value of 1 + (-5 + 23 - (-10 + 2 + 8))?
19
What is -219 + 201 + (8 + -2 - -1) + -2?
-13
What is 2 - 0 - (-8 + 2 - -15) - -20?
13
Evaluate 25 - -1 - (59 + -7).
-26
Evaluate 43 + -16 - 5 - -5.
27
What is the value of 631 + -620 - (2 - 2 - (1 + -1))?
11
-25 + (-11 - 16) + 54
2
Calculate 6 + 1 + (6 - (-1 - (4 - 14))).
4
What is the value of -9 - (7 - (-7 + 6 + 8 + 21))?
12
What is 10 - (13 + (-19 - -20))?
-4
-11 - (-8 + (-16 - -4)) - 10
-1
1 + 7 + (-4 - (-28 - -13)) + 11
30
Evaluate 0 + 5 - (-9 + 15).
-1
-1 - (-30 - (11 + -63))
-23
Calculate 1 + -11 - (-5 - (56 - 55)).
-4
Calculate 0 + -2 + -5 + 3 + -1 + 2.
-3
Calculate 0 - ((18 - -1) + -6) - -20.
7
Calculate (-13 - -26) + 1 - (-4 - (4 + -14)).
8
What is the value of 4 - 0 - (-30 - (-39 + 11))?
6
-19 + (-11 + -13 - -16) + 17
-10
What is the value of 0 + (-12 - -7) + -16?
-21
Evaluate -30 - (-6 + -25) - -20.
21
Calculate -2 - (2 - (-6 - (5 + -5 + -5))).
-5
Calculate -16 + 1 - (-84 + 61) - 1.
7
What is the value of 9 + (-25 - -3 - -12)?
-1
-11 + (13 - 7) + 6 + 3 + -6
-2
What is the value of (-40 - -27) + (4 - -15)?
6
Calculate (12 - (-14 + 24)) + 16.
18
What is the value of -14 + 18 + 1 + 1 - -1 - 24?
-17
Calculate 14 - (-21 + 17 + -12) - 13.
17
Calculate 6 + (-11 - -13 - -12 - 45).
-25
-6 + (7 - (4 + -2 - 4) - 3)
0
What is the value of (-1 - 5) + -1 - (-584 - -579)?
-2
Evaluate 4 + (-2 + 1 - (1 + 1 + 8)).
-7
Calculate 3 - (1 - (-1 - (-2 + -5) - 5)).
3
Calculate 378 + -396 + 2 + -2.
-18
What is (-26 - (18 + -43)) + 18?
17
Calculate (9 - 8 - -11) + -31.
-19
Calculate 12 + 6 + (6 - 9) - 10.
5
Calculate 22 + (-5 + -4 - (7 + (-1 - 6))).
13
(15 - 7 - 17) + 4 + -6
-11
What is -19 - -3 - (-3 - ((-6 - -5) + -6))?
-20
Evaluate (-13 - 5 - -8) + (11 - 10) - -13.
4
Evaluate 13 - ((7 - (9 + 0)) + 8 + -15).
22
What is -18 - (-32 - (-37 - -41))?
18
Evaluate (111 - 66) + -14 + 1 - 9.
23
3 + -1 + (0 - 22 - -34)
14
-13 + 5 - (-25 - -16) - -9
10
What is (-9 + (-3 - -29) - 18) + -11?
-12
(8 - 4 - (-1 - (-8 + 5))) + -5
-3
Evaluate -42 + 3 - (461 + -462).
-38
What is (-79 - -26 - -45) + (1 - 10)?
-17
Calculate 189 - 192 - (4 + (3 - 6)).
-4
Evaluate (15 - (13 + -7)) + -6 + -22.
-19
Calculate 6 - (-2 + 5 + 12 + (1 - -1)).
-11
-6 + (-19 + 13 - (1 - 13)) + -4
-4
What is the value of 2 + 8 + (1 - (0 + 1 + 4))?
6
What is the value of -9 + (10 - ((-2 - -2) + -1))?
2
Calculate -3 - ((23 - 12) + -3 + -18).
7
Calculate (3 - -4) + 8 - (-4 - (-4 - -4)).
19
Evaluate 4 - ((9 - -7) + 5).
-17
Evaluate -11 + -4 + 1 + 7 - (-4 - -7).
-10
(-17 - -22) + 4 - -10 - (-2 - -11)
10
2 + -3 + -1 + 10 + 5
13
What is 2 - (-3 - -8) - (3 + 10 - -6)?
-22
-14 - (18 - (4 + 10))
-18
What is the value of 2 + (11 + -1 - (-317 - -327))?
2
-15 + 10 + -5 + 11 + 2
3
Calculate -2 + (7 - 4) - (-3 - (4 - 11)).
-3
Calculate -5 + 9 - 11 - (4 - 11).
0
Calculate -154 - -174 - (29 - 3) - (6 - -1).
-13
Calculate 9 - -1 - ((3 - (-5 + 4)) + -4).
10
Calculate -32 - (-76 + (-8 - -37)).
15
Calculate 79 + -66 + (-19 - 5).
-11
-8 - (0 - (1 + 7))
0
What is 19 - 25 - (-4 - (-2 - -3 - 3))?
-4
What is 97 + -97 - (1 + 5 + 0) - 5?
-11
-5 + 4 + -13 + 19
5
Evaluate -16 + 2 - (-4 + -3 + (-11 - -10)).
-6
-11 + 8 + -2 + 3 + 10
8
Evaluate (-2 - 2 - 5) + 9 - (-1 + -3).
4
What is th | {
"pile_set_name": "DM Mathematics"
} |
100 + 84)*(2 - 2 + 2)*(16 - 7 + 12) to t*r + x and give x.
-1512
Rearrange -172 + t**3 + t + t**3 - 274 to the form f*t**3 + m*t + w*t**2 + b and give b.
-446
Rearrange 443*x - 449*x + 9 + 153 + x + 0 + 0 - x - 4 + 4 + (-4*x - x + 6*x)*(5 - 4 + 1) to l + o*x and give o.
-4
Express (157 + 66 + 18)*(52 - 77 - 5*h + 4*h) in the form r*h + q and give r.
-241
Express 5 - 237*r**2 + 21 + 109*r**3 - 14 + 237*r**2 in the form h*r**2 + p*r + u*r**3 + l and give u.
109
Rearrange -4*f**4 + 30*f + 0 + 48*f**3 - 48*f**3 - 1 - 1 to the form z*f**3 + j*f**4 + q*f + o + g*f**2 and give j.
-4
Rearrange (-9*q**4 - 8*q**4 + 3*q**4)*(37 - 7 + 93 + 2 - 3 + 0 + (2 - 2 - 1)*(5 - 1 - 2) + 2 + 1 - 5) to the form s + x*q**4 + o*q**2 + t*q**3 + y*q and give x.
-1652
Rearrange 3651*f - 6784*f + 3612*f + (-3 + 5 - 1)*(2*f - 5*f - 4*f) to the form t*f + n and give t.
472
Rearrange -4158734 - 7259*r + 4158734 to the form a + s*r and give s.
-7259
Express 2*n + 1 - 1 + (n - 6*n + 4*n)*(0 + 2 - 1) + 743968 - 743968 - 1974*n + (-5 + 1 + 2)*(n - n - n) in the form t*n + l and give l.
0
Rearrange -478 + 969*t + 474 - 14*t**3 + 12*t**2 - 969*t to a*t**2 + k*t + d*t**3 + n and give d.
-14
Express (482*w**2 + 4035*w**2 + 976*w**2)*(1 + 8*w**2 + w + w**2 - 8*w**2) in the form a*w**3 + o*w**4 + z*w + g*w**2 + n and give o.
5493
Express j**2 + 2*j**2 - 3*j - 153 + 8*j**2 - 7*j**2 - 8*j**2 + 2*j**3 in the form m*j**2 + i*j + h + w*j**3 and give i.
-3
Rearrange 5592*b + 0 + 0 + 18906*b + 0 to the form o*b + c and give o.
24498
Rearrange (-r**2 - 182*r + 8*r - 12*r)*(4 + 12 + 52 - 6) to the form n*r**2 + j*r + u and give n.
-62
Express 265 - t + 259 + 38*t - 517 in the form k*t + c and give k.
37
Rearrange -220*i**3 + 399*i**3 + 496*i**3 + 61*i**3 - 2 to the form r*i + k + c*i**3 + t*i**2 and give c.
736
Express (0 + 1 + 1)*(-3 + 2 + 0)*(3 + 4 + 2)*(875*l - 3013*l + 1249*l) in the form n + r*l and give r.
16002
Rearrange -10 - 24*k + 46*k + 15*k to d*k + q and give q.
-10
Express t**3 + 17 - 2*t + 28*t**2 - 41 + t**4 - 9*t**2 + 26 as k*t**2 + s*t**4 + c*t + b + w*t**3 and give k.
19
Express (0 - 2 + 0)*(3*n - n + 0*n) + (-463 - 431 - 223)*(n - 3*n + n)*(0 - 1 + 0) in the form w*n + o and give w.
-1121
Express -233*k**3 - 257*k - 2 + 474*k**3 - 250*k**3 in the form l*k**2 + r + d*k + x*k**3 and give x.
-9
Rearrange 62*c + 4611*c**2 + 60*c - 173*c + 53*c to the form i + t*c + k*c**2 and give t.
2
Rearrange 980*n + 1072*n + 310*n + 208*n to the form s*n + w and give s.
2570
Express 1427*g**2 + 46*g**3 + 48*g**3 - 136*g**3 + 41*g**3 + 761*g**2 as t*g**3 + j + a*g**2 + d*g and give t.
-1
Express (-q**2 - q**2 + q**2)*(-q + 0*q + 2*q) + 1 - 87078*q**3 - 86207*q**3 + 178801*q**3 as m + h*q + y*q**3 + n*q**2 and give m.
1
Express (-4 + 3 + 0)*(46*v**2 - 1449 + 1447 - 4*v**2) + (-6 + 6 - 6*v)*(2*v + 0*v + v) in the form j + i*v + d*v**2 and give d.
-60
Express (0*d**3 + 0*d**3 + 2*d**3)*(-3125*d - 11713*d - 2127*d) in the form v*d**2 + u*d + c*d**4 + g*d**3 + p and give c.
-33930
Express (2*o - o**2 - 2*o)*(-o + 28*o + 63*o) - 6*o**3 + 0*o**3 + o**3 + 0*o**3 + 3*o**3 - o**3 in the form k*o**2 + i*o + p + l*o**3 and give i.
0
Rearrange (0*d + 3*d - 11*d)*(25390 - 25923 - 2*d + 0*d) to n*d**2 + i + u*d and give n.
16
Express -112037*q**2 + 4*q**3 - 8*q**3 + 111851*q**2 + 0*q**3 - 4*q**3 as g*q**2 + c*q + m + s*q**3 and give m.
0
Express -58*z + 53*z + 49*z - 2*z**2 + 20*z**3 + 41*z in the form v*z**2 + p*z + x + g*z**3 and give p.
85
Rearrange -26*l**4 + 4307 - 4308 + 28*l - 28*l + 4*l**3 - 23*l**4 to the form p + z*l + b*l**3 + u*l**4 + s*l**2 and give p.
-1
Express -7 - 262*g - 1154*g + 13 + 11172*g**2 - 11170*g**2 in the form y + h*g**2 + x*g and give y.
6
Rearrange -2106 + 2106 - 6*b**4 + (56*b - 2039 + 2039)*(-2*b**3 + 3 - 3) to the form f*b + j + c*b**3 + t*b**4 + i*b**2 and give t.
-118
Express 28 + 21 + 29 - 79 + 5746*q**3 as m*q + v + w*q**2 + a*q**3 and give a.
5746
Rearrange -6*z**2 + 54*z**2 - 70*z**2 - 128*z**2 - 12*z - 1 to k*z**2 + s + j*z and give k.
-150
Rearrange (10*w + 9*w + 20*w)*(50*w**2 - 659 + 659) to the form a*w**2 + g*w + t*w**3 + n and give n.
0
Rearrange ((1 + 0 + 3)*(i - i - i) - 40*i - 22*i + i)*(-8 + 3 - 7)*(-3 - i + 2*i**2 - i**2 - i) to the form k*i**2 + f*i + p*i**3 + n and give f.
-2340
Rearrange -4*c**3 + 6 + 11 + 4*c**2 - 5*c**2 + 5*c**2 + 0*c**2 to the form g + b*c**2 + k*c**3 + a*c and give b.
4
Express -679*d - 614*d + 2883*d + 2829*d in the form z*d + n and give z.
4419
Express (10 - 12 - 11)*(0*u + 15*u - u)*(3 + 3 + 0) in the form g*u + o and give g.
-1092
Express 3486*f + 6184 - 6184 + (4 + f - 4)*(-1 + 0 + 3) - 1 + 1 + 3*f as u*f + l and give u.
3491
Rearrange (-2*s + 10 + 3 - 6)*(13089 - 415*s - 13089) to i*s + g + h*s**2 and give h.
830
Rearrange (-11*x - 9*x + 90*x)*(-2 + 3 + 1)*((0 - 5 + 2)*(2 + 3 + 2) - 4 + 0 + 2 + (4 - 1 - 5)*(4 - 3 + 0) - 2 + 6 - 2) to m*x + f and give m.
-3220
Rearrange 13573*c + 79640 - 79640 to x*c + j and give x.
13573
Rearrange (2*r - 16*r + 4*r)*(-20 + 15 + 12 + 4*r)*(-5*r**2 + 4*r**2 + 65*r**2) to p*r**4 + v + x*r + h*r**2 + k*r**3 and give p.
-2560
Rearrange (-8*f**3 - f**3 + 2*f**3)*(58*f + 45*f - 26*f)*(4 + 1 - 3) - f**4 - 2*f**4 - f**4 to the form n + x*f**4 + c*f**2 + o*f**3 + g*f and give x.
-1082
Express -9*i**2 + 573*i - 1132*i + 547*i + 22*i**2 in the form a + v*i + n*i**2 and give v.
-12
Express -232*k + 233*k + 665*k**2 - 2155*k**2 in the form r*k**2 + t*k + c and give t.
1
Express 0 - m + 0 + (-1 + 4 - 1)*(-6*m - 10 + 10) + 11*m - 2*m + 6*m + (m + 2*m - m)*(-4 + 4 + 1) + 3*m + 0*m - 4*m in the form s*m + h and give s.
3
Express 662*l - 555*l - 3 + 2*l**2 - 611*l as a*l + d*l**2 + r and give a.
-504
Express 2414932*x - 2 - 2414857*x - 30*x**2 + 3 as r*x + s*x**2 + j and give r.
75
Rearrange g**2 + g**3 + 2*g**2 + 6*g + 264 + 303 - 533 to the form w*g**3 + j*g + a*g**2 + t and give t.
34
Rearrange 46*t - 80*t + 38*t - t**2 + 0 + 3 - 2*t**4 to j + m*t**2 + r*t + g*t**3 + f*t**4 and give f.
-2
Express (-2*m - m**2 + m + 0*m)*(-1430*m - 928*m - 2393*m - 719*m - 2554*m) as r*m**2 + k + c*m + o*m**3 and give o.
8024
Rearrange -18783 + 2*l**2 + 9399 - 45*l**4 + 9384 + 5*l to the form s*l + z*l**4 + q*l**2 + k*l**3 + m and give s.
5
Express 51*q + 4*q**4 - 6*q**4 - 86*q**2 + 76*q**3 - 81*q**3 + 87*q**2 - 1 in the form u*q**4 + r + s*q**3 + o*q + k*q**2 and give s.
-5
Rearrange 34037*x - 2111 + 702 + 705 + 704 to u*x + c and give u.
34037
Express (-2*b - 14 + 13 - 7*b)*(-18 - 67 - 303) in the form r + h*b and give r.
388
Rearrange (1 - 1 + 2*q)*(4 - 4 - q) - 6*q**2 - 24*q + 24*q - 43*q**2 - 38*q**2 - 46*q**2 to the form m*q + t + b*q**2 and give b.
-135
Rearrange ((3 - 3 - 2)*(-s + 5*s - 2*s) + 0*s + 0*s - 2*s - 2*s + 0*s + 4*s + 3 + s - 3 + 2 - 2 - s + 1 - 1 - 2*s)*(4 - 9 + 35) to h + j*s and give h.
0
Express (-208*i + 133*i - 201*i - 333*i)*(-8*i - 25*i + 17*i) in the form k + b*i + p*i**2 and give p.
9744
Rearrange -3*r + 88*r**4 - 31*r**4 + 31 - 32*r**4 - 40*r**4 + 2*r - r**3 to the form m*r**3 + z*r + x*r**4 + g*r**2 + h and give h.
31
Rearrange 292 + 2*c + 23 + 139 + (-1 - 1 + 1)*(-c + c - 2*c) + 3*c - 2*c + 2*c + 3 - 3 - 9*c + 0*c + 2*c - c to v + m*c and give v.
454
Express (-3*h + 4*h - 3*h)*(-9036 + 9*h + 6218 - 11*h) in the form i + v*h**2 + j*h and give j.
5636
Express -67128 + z**3 + z**2 + 67129 + 2609*z - 1058*z as k*z**3 + x*z + p*z**2 + f and give f.
1
Rearrange (7*m - 3*m - 2*m)*(3*m + 2*m - m) + (6 - 3*m - 6)*(39*m - 6*m + 41*m) to the form t*m**2 + k + q*m and give t.
-214
Express (-3720*x**4 - 4316*x**4 + 10533*x**4)*(2 - 2 + 4)*(-2 - 4 + 5) as i*x**2 + j*x + o + s*x**3 + b*x**4 and give b.
-9988
Express 444*q + q**3 - 359*q - 2*q**2 - 1071*q - 3*q**3 as b*q**2 + x*q + u*q**3 + o and give b.
-2
Express (-69 + 115 + 343 + (-6 + 3 + 2)*(2 + 0 - 1))*((-7*y + 2*y + 2*y)*(-2 - 1 + 1) - y + 2*y + 0*y) as g + f*y and give f.
2716
Express 3*u**3 + 4708 + 19*u**2 + 9*u**4 + 4691 - 9402 in the form c + k*u**2 + w*u**3 + r*u**4 + f*u and give k.
19
Rearrange -54*w + 12*w + 21*w + (3*w + w - 5*w)*(-33 + 108 - 36) - 4*w + 5*w - 4*w - 1 + 1 - w - 1 + 2*w + 1 to the form z + a*w and give a.
-62
Rearrange (-7*y + 4*y**2 - 681068 + 681255 + 0*y**2)*(-y + 4*y - 2*y) to p*y + l + v*y**2 + r*y**3 and give v.
-7
E | {
"pile_set_name": "DM Mathematics"
} |
f n?
2
Let h(i) = 7*i - 1. What are the prime factors of h(8)?
5, 11
Suppose 30 = -6*j + 630. What are the prime factors of j?
2, 5
Suppose -4*x = -0*x - 168. What are the prime factors of x?
2, 3, 7
Suppose 6*f + 5*i - 80 = f, 2*f - 40 = 2*i. Suppose 0 = -3*a - 5*y - 2 + f, -2*a + 2*y = -16. What are the prime factors of a?
7
What are the prime factors of (3 - 10/6)*105?
2, 5, 7
Let h = -232 + 387. What are the prime factors of h?
5, 31
Let n = -15 + 6. Let h be 12/n*(-6)/4. What are the prime factors of ((-2)/4)/(h/(-32))?
2
Let i(x) be the third derivative of x**6/120 - x**5/60 + x**4/24 - x**3/6 + 3*x**2. Let j be i(1). Suppose 3 + j = t. List the prime factors of t.
3
Let n(c) = c**3 - 10*c**2 + 3*c - 4. What are the prime factors of n(10)?
2, 13
List the prime factors of 5/30 + (-113)/(-6).
19
Let k(g) = 2*g + 2*g - 7*g - 10*g. What are the prime factors of k(-1)?
13
Let l be 6/(4/12*6). Suppose -5*p + l*a + 29 = 0, -3*p + 0 = 3*a - 3. What are the prime factors of p?
2
Let o be 12/(-42) + (-248)/14. What are the prime factors of ((-9)/(-2))/((-3)/o)?
3
Let f be 0 + (1 - 0/2). What are the prime factors of (-15 - f)*2/(-2)?
2
Let k be -1 + 10/(-4)*8. Let b be (-3)/(9/k) + -1. Suppose x - b = 6. List the prime factors of x.
2, 3
Let b(r) be the second derivative of -r**4/12 + r**3/6 - 2*r**2 - 2*r. Let f be b(-3). Let m = f + 27. List the prime factors of m.
11
Let r = -139 - -233. List the prime factors of r.
2, 47
Let v = -81 - -95. List the prime factors of v.
2, 7
Let c(l) = 76*l**2 + l + 1. List the prime factors of c(1).
2, 3, 13
Suppose v = -0*v - 4. What are the prime factors of (-12)/8*v/3?
2
Let c be (-170 - -5) + 4/2. List the prime factors of 2/5 + c/(-5).
3, 11
Let p = -33 - -20. List the prime factors of (p/(-2))/(4/8).
13
Suppose 3*o - 72 = -0*o. List the prime factors of o.
2, 3
Suppose -3*u - u = -8. Suppose -k = u*y - 1, 5*k - 15 = y + 23. What are the prime factors of k?
7
Suppose 9 + 1 = 5*k, -5*p - 83 = -4*k. Let j = 33 + p. List the prime factors of j.
2, 3
Let d = 259 + -38. List the prime factors of d.
13, 17
Let n(d) = d**3 - 4*d**2 - 2*d - 4. Let p be n(4). Let s be p*3/18*-2. Let x(g) = g. List the prime factors of x(s).
2
Let y = 45 + -16. List the prime factors of y.
29
Let t be 12/28 + (-221)/(-7). Suppose -x - 1 + 2 = 5*m, 2*x - t = 5*m. What are the prime factors of x?
11
Let t(y) be the first derivative of y**4/4 + y**3/3 - y**2/2 + 22*y + 2. What are the prime factors of t(0)?
2, 11
Let c(f) = f - 4. Let g be c(5). List the prime factors of 39 - (g + -1 - 2).
41
Let f = 56 + -32. What are the prime factors of f?
2, 3
Let v be (-2)/8 + 2/8. Suppose -4*a + 5*u + 5 = v, a - 3 = -2*a + 3*u. Let c = 5 + a. What are the prime factors of c?
5
Let j = -33 - -42. List the prime factors of j.
3
Let k(x) = -x**2 - 6*x - 4. Let r be k(-5). Let w = 18 + r. What are the prime factors of w?
19
Let p(q) = 6*q**2 - 2*q + 5. Let n(t) = -11*t**2 + 3*t - 9. Let o(i) = -4*n(i) - 7*p(i). List the prime factors of o(-2).
5
Suppose -2*a - 13 = 2*a + y, y + 7 = -2*a. Let l be 3 + a - (-1 + -13). Suppose 3*c = -2*g - l + 48, 5*g + 20 = 3*c. What are the prime factors of c?
2, 5
Let f be (8/3)/(8/12). Suppose -2*o + c - 3 + f = 0, -2*o - 4*c - 14 = 0. Let b = 5 - o. List the prime factors of b.
2, 3
Let f(i) = -4*i - 31. Let m(l) = 3*l + 21. Let b(z) = -5*f(z) - 7*m(z). What are the prime factors of b(-4)?
2, 3
Suppose -3*v + 3*n = 9, 6*n - 2*n - 20 = 0. What are the prime factors of v?
2
Let v(i) = i**2 + i. Let f(g) = 2*g**2 + 5*g - 5. Let r(b) = f(b) - v(b). List the prime factors of r(4).
3
Suppose -3*l + 190 = -143. What are the prime factors of l?
3, 37
Let d(y) = -y**2 + 36*y - 4. List the prime factors of d(24).
2, 71
Suppose -5 = 2*t - 41. Suppose -3*z + 0 = 30. List the prime factors of z/(-45) - (-104)/t.
2, 3
Let o be (1 - -1)/((-2)/9). Suppose 3*j + 5 = -2*m, 5*j + 2*m = m - 13. Let t = j - o. List the prime factors of t.
2, 3
Let f(t) = -4*t**3 - 2*t + 2. What are the prime factors of f(-3)?
2, 29
List the prime factors of (27/5)/((-7)/(-35)).
3
Suppose -4*y - 282 = -1350. What are the prime factors of y?
3, 89
Suppose 5*q - 61 = 434. What are the prime factors of q?
3, 11
Suppose 2*p + 2*y - 28 = -3*y, 5*p = 5*y. Suppose -h + 44 = 3*h - p*k, -4*h + 2*k + 34 = 0. Let z = h - 1. List the prime factors of z.
5
Let y(w) = -w**3 - 2*w**2 + 2*w - 2. Let v be y(-3). Let r(l) = 16*l**3 + l**2 - l + 1. List the prime factors of r(v).
17
Let z be (-2 - 0)*(-1 + 3). Let p = z - -6. Suppose 4 + 2 = p*s. List the prime factors of s.
3
Let m(q) = 129*q**3 + q**2 - 2*q + 1. List the prime factors of m(1).
3, 43
Let m = 157 + -97. Suppose -a = -5*a + m. What are the prime factors of a?
3, 5
Suppose 3*f = -f + 76. List the prime factors of f.
19
Suppose 152 = w - 69. What are the prime factors of w?
13, 17
Let t be 21/35 - (-12)/5. Suppose 0 = 2*a - t*w + 6, -2*a - 2 = -4*w + 2*w. List the prime factors of (4 - a)*3 + -1.
2
Let s be 10/3*12/8. Suppose -4*y - s*v - 5 = -0*y, -2*y - 5 = 3*v. What are the prime factors of y?
5
Let o = 78 - 35. What are the prime factors of o?
43
Let i = 7 + 33. What are the prime factors of i?
2, 5
Suppose -3*m = -4 - 2. Suppose 4*d - m*d = -3*j + 19, -4*j = 2*d - 22. Suppose 2*f - d*f + 25 = h, 0 = -3*h - 6. What are the prime factors of f?
3
Let v(n) = -3*n - 9. Let m be v(10). Let y = -16 - m. What are the prime factors of y?
23
Let n(k) = -3*k + 107. List the prime factors of n(0).
107
Suppose -44 = 5*y + 101. Let d(u) = -u**3 - 8*u**2 - 6*u - 9. Let g be d(-7). Let j = g - y. List the prime factors of j.
13
Suppose 27 + 27 = -3*w. Let p = w - -33. List the prime factors of (-1 + p/6)*12.
2, 3
Suppose 0*a + 5*a = 160. What are the prime factors of a?
2
Let u = 66 + 68. What are the prime factors of u?
2, 67
Suppose 0 = 3*y - 4 + 16. List the prime factors of y/((-8)/30) + -3.
2, 3
List the prime factors of 3620/50 + 2/(-5).
2, 3
Let l = 12 - 9. Let r be 22/3*l/2. Suppose r*q - 40 = 6*q. List the prime factors of q.
2
Let p(i) = i**3 + 3*i**2 + 4*i + 2. Let q(o) = -o**3 - 5*o**2 - 7*o - 4. Let b(t) = -11*p(t) - 6*q(t). What are the prime factors of b(-2)?
2, 17
Let y be ((-20)/(-6))/((-1)/(-3)). Let a be -2 + 0 - (-9 + 7). Suppose a*v = 5*v - y. What are the prime factors of v?
2
Let k = -36 - -61. What are the prime factors of k?
5
Let a = 53 - 17. List the prime factors of a.
2, 3
Let s(k) = k**3 + 13. Let a be s(0). Suppose a - 4 = 3*l. What are the prime factors of l?
3
Let s(w) = -3*w**3 - 15*w**2 + 4*w + 1. Let u(z) = 2*z**3 + 8*z**2 - 2*z. Let y(q) = -3*s(q) - 5*u(q). Suppose -4*n - 6 = -22. List the prime factors of y(n).
5
Suppose 4*o - 159 = -3*q - 17, -4*q - 119 = -3*o. Suppose 0 = 3*n + 4*i - o - 0, 3*n - i - 47 = 0. List the prime factors of n.
3, 5
Let s = 1 - 1. Suppose -d = -s - 3. Suppose 18 = -y + d*y. List the prime factors of y.
3
Let f(b) = -b**3 + 4*b**2 - 2*b + 1. Let u be f(4). What are the prime factors of 2/(-6)*3*u?
7
What are the prime factors of (-24)/4 + 1028/4?
251
Let w = 29 + -18. Suppose -4*z - 3 + w = 0. Suppose 7 = z*l + 1. What are the prime factors of l?
3
Let w(s) = 9*s - 1. List the prime factors of w(10).
89
Suppose n = 2 - 0. Suppose 7 = -n*h + 3*h + 4*j, 3*j - 86 = -5*h. List the prime factors of h.
19
Let b(q) = -2*q**3 - q**2 + 1. Suppose 11 = 5*p - 4*v, -4*v - 1 = 15. Let i be b(p). Suppose -2*u + 60 = i*u. What are the prime factors of u?
3, 5
Let o = -5 + 8. Suppose o*z = 30 + 36. What are the prime factors of z?
2, 11
Suppose -3*o - 25 + 113 = -4*h, -44 = 2*h + 4*o. Let a = h - -32. List the prime factors of a.
2, 5
Let b = -16 + 18. Suppose -b*y + 45 = 13. List the prime factors of y.
2
Let h(t) = -2*t**2 + 5*t + 4. Let i(y) = y**2 - 5*y - 5. Suppose -2*d - 6 = -0*d. Let p(u) = d*i(u) - 2*h(u). What are the prime factors of p(-5)?
7
Let c be 47/2 - 30/20. Let k(z) = z**2 - 9*z + 2. Let d be k(6). Let f = d + c. What are the prime factors of f?
2, 3
Suppose -4*y + 2*j = -0*y - 6, 0 = 4*y + 4*j. What are the prime factors of 30/(-4)*(-2)/y?
3, 5
Let x = 11 - 11. Suppose -q = 2*q + g - 5, 3*q + 4*g + 7 = x. List the prime factors of q.
3
Suppose j + 5*q + 17 = 0, 0*q + 25 = -5*q. Let i(b) be the first derivative of b**3/3 - 3*b**2 - 7*b - 4. What ar | {
"pile_set_name": "DM Mathematics"
} |
(b) 5 (c) d
a
Let h = 2 + 2.8. Let o = 5 - h. Which is the second smallest value? (a) 0.4 (b) o (c) -1
b
Let j be 57/15 - 1/(-5). Let n(k) = k**2 - 3*k - 3. Let d be n(j). Which is the third biggest value? (a) d (b) -2 (c) -2/7
b
Let p = -7 - -4. Let x = p - -1. What is the third smallest value in x, -4/5, -1/3?
-1/3
Suppose -1 + 3 = p. What is the second smallest value in p, -4, 4?
p
Let z = -8 - -19. Let m = 14 - z. Which is the third smallest value? (a) 2/7 (b) 4 (c) m
b
Let s(g) = -2*g - 5. Let b be s(-4). Suppose -c = -b*c. Let n be (-2)/(-2)*c - 1. What is the third smallest value in -2/13, -0.4, n?
-2/13
Let d = 22 + -21.99. Which is the biggest value? (a) 2 (b) d (c) -1
a
Let g = -223/2695 + -2/245. Let h = -2.1 - -0.1. What is the biggest value in 3, g, h?
3
Suppose -2*f = 2*p + 4 + 2, -8 = 3*p + 4*f. Let l be ((-20)/30)/(1*-4). Which is the third biggest value? (a) -1/4 (b) l (c) p
c
Let c be 2/10*-17 + 3. What is the biggest value in -2/13, -4, c, 0?
0
Let f(t) be the second derivative of -11*t**3/6 + 3*t**2/2 - 2*t. Let g be f(6). Let q be 14/g - 29/(-9). Which is the smallest value? (a) 4 (b) q (c) -4
c
Suppose -16 = 5*k - 46. Which is the smallest value? (a) 3/2 (b) 1 (c) k
b
Let z be 141/27 + -5 + 48/27. What is the fourth smallest value in z, 0.2, -1, 0.06?
z
Suppose -2*p = -5*x + 57, -x - 5*p = -2*x + 16. Which is the second smallest value? (a) 0 (b) 0.3 (c) x
b
Let o(m) = m**2 - m. Let d be o(7). Let n be ((-4)/d)/(12/(-54)). Which is the third smallest value? (a) n (b) 0.2 (c) 2
c
Suppose -2*h = -h + 5*i + 3, h - 2*i = 4. Suppose 7 = -3*v + 4*t - 0*t, 0 = -h*v - 3*t + 18. Suppose 1 = -5*y + 26. What is the smallest value in v, y, 1?
1
Let u = -86 + 82. Which is the biggest value? (a) u (b) 5 (c) -3/5
b
Let m = 4/83 + 312/415. Let r = 3 - 2.7. Let u = -459/7 - -66. Which is the third smallest value? (a) u (b) m (c) r
b
Suppose -c + k - 4 = 0, 5*c + k - 5*k + 21 = 0. What is the second biggest value in -1/3, 4, c?
-1/3
Let i(s) = s**3 + 8*s**2 - 4. Let l be i(-8). Let k(r) = -r - 1. Let g be k(-6). Which is the third biggest value? (a) l (b) g (c) -1/3
a
Let k be (16/12)/((-28)/(-6)). Which is the second biggest value? (a) -5 (b) k (c) -4
c
Let q = -30.95 + 31. What is the smallest value in -4/5, q, -0.3?
-4/5
Let b(p) = 2*p**3 - 2*p**2 + 2*p - 1. Let i be b(1). Let j = 109/148 - -1/74. What is the biggest value in 0, j, i?
i
Let n be (4/2)/(3/6). Suppose -4*r = n - 32. Which is the second smallest value? (a) r (b) -0.3 (c) 2
c
Suppose 0 = 4*a - 4 - 0. Let x be (1 + 0 + a)/1. Let w(d) = d**2 + d - 1. Let r be w(x). What is the biggest value in -0.3, r, 3/4?
r
Let n = -1/19 - 33/95. Suppose 5*y - 195 = 3*w, 2*w - y - 65 = 3*w. Let t = -191/3 - w. What is the second smallest value in t, 0, n?
0
Let x = -3.07 + 0.07. Let z be (-2)/5 - (-3)/6. Which is the second smallest value? (a) z (b) 4 (c) x
a
Let s = -0.69 + 0.19. Let v = -5 - -8. Let r = 5 - 7. What is the third smallest value in v, r, s?
v
Let v = -146 + 148. Which is the second smallest value? (a) 0.2 (b) -0.5 (c) -8 (d) v
b
Let g = -0.29 - -0.49. Let t be 3/2 - (-2)/(-8). Which is the second biggest value? (a) t (b) -0.1 (c) g
c
Let w(k) = k**2 + 10*k + 5. Let l be w(-9). Which is the second biggest value? (a) l (b) 0 (c) -3/5
c
Let x = -0.3 + 0.3. Let u = x - -4. Let s(r) = -r**3 - r. Let m be s(0). Which is the third smallest value? (a) u (b) m (c) 1/10
a
Suppose -15 + 58 = -3*s - 4*k, 0 = k + 4. Which is the third smallest value? (a) -2 (b) -0.4 (c) s
b
Suppose r + 3 = 4. Let l = 0.2 - 0.22. Let b = -1.98 + l. What is the third biggest value in 2/3, b, r?
b
Let f be (1 - 0) + (0 - 0). Let o be (-1 - f) + (0 - 1). Let l = 175 + -1573/9. Which is the third smallest value? (a) l (b) o (c) -2/9
a
Let w = -11 + 11.5. What is the smallest value in w, -3, 3/5?
-3
Let f = 1/116 + -239/812. What is the third biggest value in 0, 5, f?
f
Let v = 4.6 - 2.6. Which is the second biggest value? (a) 2/7 (b) -0.5 (c) v
a
Let l = 2 + 3. Let d = -3 - l. Let v = d - -11. Which is the biggest value? (a) -0.4 (b) -3 (c) v
c
Let g = 8 - 12. Let j = 7 - 7.5. Which is the third smallest value? (a) -3/7 (b) g (c) j
a
Let j = -13 + 23. Let x = -15 + j. Let m be 2*(2/24 - 0). Which is the smallest value? (a) x (b) m (c) -4
a
Let y = 2 + -2. Let r = 6.3 + -6. Let i = r + -0.2. What is the second smallest value in 3/5, y, i?
i
Let l = -3.5 + 2.5. Which is the third smallest value? (a) 5 (b) 2 (c) l
a
Let z = -0.1 + -6.9. Let j = z + 6.5. Which is the second smallest value? (a) 0.4 (b) 0.5 (c) j
a
Let i = -3.26 - -0.26. Which is the third smallest value? (a) -5 (b) -2 (c) i
b
Let t(h) = 5*h**2 + 1. Let f be t(-1). Suppose 70 = -x + f*x. Suppose -3*i + 4*r = -x, 2*r + 0*r - 6 = -5*i. Which is the smallest value? (a) 1 (b) 0 (c) i
b
Let v = -46 + 48. Which is the smallest value? (a) -0.5 (b) 3 (c) v
a
Let r be 6 + -2 + (-3 - (-2)/(-12)). Which is the third smallest value? (a) -1/4 (b) r (c) -3/5 (d) -0.4
a
Let n = 15 + -10. Let q = 1.33 + -1.53. Which is the second smallest value? (a) q (b) n (c) 3
c
Let k = 644 + -640.11. Let q = -0.11 - k. Which is the second biggest value? (a) 4 (b) q (c) 2/9
c
Let g be ((-2)/(-8))/((-3)/4). Let v be -2*(-4)/(-8)*4. Let h be (v/(-3))/((-5)/3). Which is the third biggest value? (a) h (b) 2 (c) g
a
Let q = -20.9 + 20. Let g = 1 + q. What is the biggest value in 3, g, 3/4?
3
Let u = -13/9 + -1/18. Which is the biggest value? (a) u (b) 2/9 (c) -1/5
b
Let q(x) = 4*x**2 - x - 1. Let u be q(-1). Let p = -0.12 + 0.12. What is the second smallest value in -3, p, u?
p
Let w = 4.32 + 0.18. Let x = 13 - 8. Let d = w - x. Which is the third biggest value? (a) -0.4 (b) -0.1 (c) d
c
Let k = 0.12 - 6.12. Let g = -7 - k. Which is the second smallest value? (a) -4/5 (b) g (c) -3
b
Let d = -0.21 - -0.16. Which is the second smallest value? (a) d (b) -0.3 (c) -4
b
Let w = -7 + 6.8. Let k = 0.23 - -0.07. Let t = 1.7 + k. Which is the second smallest value? (a) 1/5 (b) w (c) t
a
Suppose 12912 = 2*h - 4*d, 3*d + 4857 = h - 1596. Let n = 13213/2 - h. Let i = n - 142. What is the second biggest value in i, -4, 2?
2
Suppose 4*d + 3 = -0*t - t, 9 = -2*d - 3*t. Suppose 6*m - m = 25. Which is the smallest value? (a) -0.2 (b) d (c) m
a
Let k = -15.2 + 0.2. Let s = 15.3 + k. What is the smallest value in 0.1, -0.1, s?
-0.1
Let m = -5068/15 + 338. Let o = 23/60 - m. What is the smallest value in 0.2, 4, o?
0.2
Let x = -13 - -8. Let u(h) = h**2 + 1. Let d be u(x). Let p = 103/4 - d. Which is the second biggest value? (a) 0 (b) p (c) 1
a
Let f(u) = -u - 8. Let q be f(-6). Let y be ((-6)/(-21))/(9/(-21)). Which is the biggest value? (a) y (b) 0.5 (c) q
b
Let i be 5/((-200)/(-12))*2. What is the smallest value in i, -3, 1.3?
-3
Let u(n) = n**3 + 24*n**2 + 5. Let t be u(-24). Which is the second smallest value? (a) t (b) 0.04 (c) -0.1
b
Let q(i) = -i**3 - 2*i**2 + 5*i - 7. Let w be q(-4). What is the biggest value in -0.4, 4, 8/3, w?
w
Let i = 11 + -8. Which is the third smallest value? (a) -1 (b) -2 (c) i
c
Let p = -0.8 + -0.2. Let j = -1 + 1.3. Which is the second smallest value? (a) p (b) j (c) -1/5
c
Let g(a) = -5*a**3 + 9*a**2 + 2*a - 3. Let k be g(2). What is the second smallest value in 1, 10, k?
1
Let z(d) = d**3 + 8*d**2 - 10*d - 8. Let v be z(-9). What is the biggest value in v, -10, -0.2?
v
Let v = 5.5 - 10.5. What is the smallest value in 7, -1, -0.5, v?
v
Let m = 0 + 0.02. Let b = m + -0.22. What is the third smallest value in b, 4/3, 0.5?
4/3
Let k = 0.04 + -0.03. Let f = k + -1.01. What is the third biggest value in -0.1, 0, f?
f
Let p(x) = -x**2 + 3*x - 3. Suppose 3*f = 6*f - 9. Let w be p(f). Let s be (-52)/32 - w/2. What is the second biggest value in s, 5/2, -2/7?
s
Let l = 0.76 + -0.6. Let v = -7.84 - l. Let s = -13 - v. What is the third biggest value in 2/9, -0.3, s?
s
Let o be ((-2)/(-12))/(1/(-4)). Let k = 0.27 - 0.3. What is the second smallest value in k, 2, o?
k
Let n(h) = -h**3 + 10*h**2 + 2*h - 14. Let b be n(10). Let a = b - 17/3. What is the second biggest value in -3, a, -2/3?
-2/3
Let t = 1 - 1.3. Let g be ((-20)/(-35))/((-54)/ | {
"pile_set_name": "DM Mathematics"
} |
-21*l + 7. Let j(d) = 10*d - 3. Let i(a) = 9*j(a) + 4*m(a). Give i(o).
-11
Suppose t = 2*c + 16, -4*c - 33 = -4*t + 23. Let a = 7 + -4. Let g be 52/16 - a/t. Let y(o) = -3*o + 1. What is y(g)?
-8
Let y(i) = -i**3 - 18*i**2 + 20*i + 20. Let a be y(-19). Let t = 0 + 4. Let o(v) = -3 - 1 + 1 - t*v + a. Determine o(-2).
6
Suppose -60*d + 56*d + 20 = 0. Suppose y + 4*l = 11, d*y - 2*l + 17 = -4*l. Let o(q) = q**3 + 5*q**2 + 3*q + 6. Determine o(y).
-9
Let a(r) = -6*r + 27. Let l be a(3). Suppose 9*z - l - 27 = 0. Let v(o) = -o - 9. Let d(x) = -2*x - 10. Let q(i) = -3*d(i) + 4*v(i). Calculate q(z).
2
Let b(n) be the second derivative of -n**4/12 - 5*n**3/3 - 6*n**2 - 12*n. Give b(-8).
4
Let s be ((-26)/4)/((-3)/(-6) + -1). Let f = s + -18. Let v(m) be the third derivative of m**5/60 + m**4/6 + m**2. Determine v(f).
5
Suppose 0 = 47*u + 536 - 301. Let g(s) = s**2 + 6*s + 3. Give g(u).
-2
Let b(f) = -3*f - 13. Let u(h) = h + 6. Let l(r) = 2*b(r) + 5*u(r). Let n(x) = 38*x + 346. Let p be n(-9). Determine l(p).
0
Let c(i) = -5*i**2 + 3*i**2 + 4*i + 4*i**2 - 3 + i**3 + 5*i - 14*i. Let j(t) = 3*t - 1. Let x be j(-1). Give c(x).
-15
Let u(d) = d**3 - 2*d**2 - 7*d + 2. Let t = -216 - -220. Calculate u(t).
6
Let q(y) = -9*y + 6. Let j(s) = 19*s - 12. Let k(f) = -2*j(f) - 5*q(f). Let v be k(-3). Let w be 12/9 - (-36)/v. Let p(l) = l - 1. Calculate p(w).
-1
Let w(i) = -4923*i - 7*i**2 + 1 + 2463*i - i**3 + 2467*i. What is w(-8)?
9
Let j(z) = z**3 - 8*z**2 + 7*z + 2. Let g be 3 - (3 - 2 - 3). Suppose -g*u = 4*x - 105, -95 = -5*u - 5*x + 3*x. Suppose -u*y + 16*y = -7. Determine j(y).
2
Suppose -5*h - 3 + 2 = -3*a, -5*h + 7 = a. Let l(s) be the first derivative of 0*s - 2/3*s**3 + 1/2*s**2 - 12. Determine l(a).
-6
Let s be (2/(-4))/((-5)/(-2) + -3). Suppose 0*i + 17 = -5*i - 4*v, -1 = i + 2*v. Let u be s*(-7 + 3 - i). Let m(k) = -6*k**3 - k**2 + 2*k - 1. Give m(u).
-6
Let r(o) be the second derivative of -5*o + 9/2*o**2 + 0 + 1/3*o**3. Calculate r(-7).
-5
Let i(s) = -3*s - 5. Suppose 11 - 13 = 5*h - 2*f, -3 = -3*f. Calculate i(h).
-5
Let y(l) be the third derivative of 1/10*l**5 + 1/6*l**3 - 17*l**2 - 1/24*l**4 + 0 + 0*l. Calculate y(1).
6
Suppose -v + 2 = h + 2*h, -5*h + 3*v = -22. Let l(n) = -n + 52. Let f(j) = 5*j - 285. Let y(q) = -2*f(q) - 11*l(q). Give y(h).
0
Suppose 0*l + 3 = l. Let h(y) = -10*y**2 + 66*y + 13. Let d(z) = 7*z**2 - 47*z - 9. Let r(a) = -7*d(a) - 5*h(a). What is r(l)?
4
Let j(t) be the second derivative of -t**3/2 + 2*t**2 - 7*t - 10. Give j(5).
-11
Suppose -5*s + 10*s - 25 = 0. Suppose 4*v = 4*i, v = s*v - 2*i - 4. Let z(p) = p**3 + 9*p**v - 3*p**2 - p - 5*p**2 - 8. Give z(0).
-8
Let x(y) = -3*y - 2. Let l(d) = -12*d - 8. Let p(i) = -2*l(i) + 9*x(i). Let z(f) = 9*f + 6. Let w(r) = 11*p(r) + 4*z(r). What is w(-2)?
-4
Let l = 112 + -116. Let p(c) = c**3 + 4*c**2 + 4*c - 5. Determine p(l).
-21
Let z(y) = 3*y**2 + 3*y + 1. Let k(b) = -20*b**2 + 231 - 237 - 16*b + 4*b**2. Suppose 0*c = 3*c + 6. Let j(i) = c*k(i) - 11*z(i). Give j(-3).
-5
Suppose 0*q = 47*q - 141. Let p(b) = -b**2 - b + 2. Let u(l) = l**2 - 2. Let m(h) = -2*p(h) - 3*u(h). Calculate m(q).
-1
Let d(m) = -m + 1. Let p = 536 - 533. Calculate d(p).
-2
Let x be (-26)/6 + (-40)/60. Let l(f) = -f**3 - 5*f**2 - 12. Give l(x).
-12
Suppose -4*b = -10 - 2. Let c(p) = p**3 + 1. Let o(i) = 2*i**3 + i**2 + i + 11. Let f(u) = b*c(u) - o(u). Let g be (-1)/(2/6) - -3. Calculate f(g).
-8
Let u(m) = -m**3 - 6*m**2 + 2*m + 9. Let c = 56 - 100. Let f = c - -38. What is u(f)?
-3
Let g(m) = 3*m**3 + 7*m**2 - 3*m - 2. Let p(d) = 5*d**3 + 7*d**2 - 4*d - 3. Let j(v) = -3*g(v) + 2*p(v). Give j(7).
7
Let j(a) = -22*a - 3. Let s = 80 - 82. What is j(s)?
41
Let d(v) be the first derivative of 3*v**2/2 - v - 65. Determine d(3).
8
Let w = 335 + -199. Let l be w/36 - 4/(-18). Let h(y) = -y**2 + 5*y - 1. What is h(l)?
3
Let q be (-24)/(-8) - 6/(-2). Let u(i) be the first derivative of -q*i**2 - i + 4 + 6*i**2 - i**3 - i**2. Determine u(-1).
-2
Let y(i) be the third derivative of i**6/24 - i**4/6 - i**2 + 59. Calculate y(-2).
-32
Suppose 0 = -4*i - 2*s + 14, -26 = -3*i + 2*s + 2. Let a(m) be the third derivative of -m**6/120 + m**5/10 + m**4/12 - 4*m**3/3 + 11*m**2 + m. What is a(i)?
4
Suppose -2*w - 1 + 5 = 0. Let j = w + 1. Let g(d) = -2*d + 2*d - d. Give g(j).
-3
Let r(w) be the first derivative of w**3/6 - w**2/2 + 9*w - 8. Let m(p) be the first derivative of r(p). Calculate m(7).
6
Let h(g) be the third derivative of -7/24*g**4 + 7/6*g**3 + 0 + 4*g**2 - 1/60*g**5 + 0*g. Let j be 1 - 3*(-6)/(-2). Determine h(j).
-1
Let u(h) = h - 3. Let f = 174 - 131. Suppose 15 = -f*g + 46*g. Calculate u(g).
2
Let r(s) = -s**3 + 4*s**2 - s + 3. Suppose -11*u + 0*u + 154 = 0. Let m be (u/(-21))/((-86)/(-30) + -3). Give r(m).
-27
Let r(v) be the first derivative of -14 - v - 1/2*v**2. What is r(6)?
-7
Suppose -3*a - 7 = t, a + a + 6 = 0. Let n(k) be the first derivative of -k**4/4 + 2*k**3 - k**2 - 2*k - 81. What is n(t)?
10
Let s(q) be the third derivative of -7*q**6/360 + q**5/120 + q**4/24 - 11*q**3/6 + 4*q**2. Let f(g) be the first derivative of s(g). What is f(-1)?
-7
Suppose -5*a - 4*u = 9 + 7, -5*a - u = 4. Suppose -3*i = 4*w + 20, w - 4*i + 5 = -a*w. Let b(q) = q**2 + 5*q + 3. Calculate b(w).
3
Let d(t) be the second derivative of t**4/12 - 4*t**3/3 - 6*t**2 + 108*t. What is d(9)?
-3
Let x(t) be the first derivative of -t**2 - 5*t + 44. What is x(5)?
-15
Let o = 30 + -24. Let m(b) = o - 2*b + 3*b + 3*b - 1 + b**2. Calculate m(-4).
5
Let r be -10*(2*(-3)/6)/(-5). Let s(k) be the first derivative of 2 + 0*k**2 - 2*k + 1/3*k**3. Give s(r).
2
Suppose 6*b = -9 - 3. Let w(u) be the second derivative of -u**5/20 - u**4/3 - u**3/2 - u. What is w(b)?
-2
Let x(l) be the first derivative of -l**2/2 + 2*l + 25. Let f(m) = m**2 + 9*m - 8. Let c be f(-9). Let p = 4 + c. Give x(p).
6
Let q(x) = -2*x + 2. Let n be 19 + -8 + 2 + -3. Let w be (-6)/n*-5 + 2. Calculate q(w).
-8
Let s(x) be the first derivative of x**4/4 - 2*x**3 + 9*x**2/2 + x + 2. Let q be s(4). Let w(t) = 3*t + 2 - 3 - 6. Determine w(q).
8
Let s = 23 - 15. Let l = s - 7. Let p(z) = 11*z**2 - 2*z + 1. What is p(l)?
10
Let w(l) be the third derivative of -l**5/60 - 5*l**4/24 - 5*l**3/3 - 16*l**2. Determine w(-4).
-6
Let o(g) = -4*g**2 + 5*g + 6. Let v be o(-1). Let w(y) = 5*y + 4. Calculate w(v).
-11
Let h(b) = -b**2 - 6*b - 1. Let g(d) = d**3 + 16*d**2 - 3*d + 9. Let s be g(-16). Suppose 3*v + s - 45 = 0. Give h(v).
7
Let d(h) = -h - 4. Let n(x) = -4*x - 21. Let c(f) = 11*d(f) - 2*n(f). Give c(4).
-14
Let y(m) = -m**2 + 9*m + 2. Suppose -4*j + 22 = 5*x, -4*j - 4*x + 1 + 23 = 0. Determine y(j).
10
Let q(i) = -i**2 - i + 1. Let y be 6/10*110/66. Determine q(y).
-1
Let l(n) = 6*n - 8 - 26 - 13 + 46 + 4*n. Determine l(-2).
-21
Let a(p) = -p**3 - 9*p**2 - 13*p - 8. Let o(j) = 2*j**3 + 18*j**2 + 25*j + 15. Let n be ((-64)/48)/(-1 - 8/(-6)). Let r(h) = n*o(h) - 7*a(h). What is r(-8)?
4
Suppose 30 = -3*g - 2*g. Let m(z) = -15*z**3 - 25*z**2 - 13*z - 17. Let w(i) = -7*i**3 - 12*i**2 - 6*i - 8. Let p(y) = -6*m(y) + 13*w(y). Determine p(g).
-2
Let n(d) = 10*d**3 - 7*d**2 + 6*d**2 - 2*d + d**3 - 10*d**3 - 1. Let p be 1/(-2*3/(-30)). Suppose 0 = -p*u - 5 + 15. What is n(u)?
-1
Let g(j) = j**2 - j. Let y(o) = -8*o**2 + 5*o - 1. Let z(b) = -11*g(b) - 2*y(b). Calculate z(-1).
6
Let d(k) = k**2 - 30*k + 58. Let v be d(28). Let r(f) = -11*f + 3. Give r(v).
-19
Suppose 0 = -25*g - 9*g + 34. Let o(r) = -25*r**3 + 2*r**2 - r - 1. Give o(g).
-25
Let r(q) = -3*q**2 - 12*q + 9. Suppose -5*a + w + 24 = 0, 2*w = -a + 2 - 6. Let f(u) = -u**2 - u + 1. Let d(j) = a*f(j) - r(j). Determine d(7).
2
Let g = -21 - -22. Suppose -3*h - g = -4*h. Let d(u) = -7*u**3. Give d(h).
-7
Let y = -70 - -72. Suppose -4*u = 2*i - 18, y*i + 2*i - 20 = 0. Let c(l) be the first derivative of -l**4/4 + 4*l**3/3 - l**2 - l + 2. Calculate c(u).
3
Suppose l = 2, 5*p + 2 = 3*p + 4*l. Suppose -p*f + 5 = -2*f. Suppose 3*a - 10 = -3*u + 11, f*a = 4*u - 1. Let y(b) = 2*b - 4. What is y(a)?
2
Let q be 2*-2 - -2 - -7. Let l(u) = 2. Let a(w) = w + 1. Let m(d) = -3*a(d) - l(d). What is m(q)?
-20
Let l(v) be the second derivative of v**6/360 + 3*v**5/40 + v**4/4 + 23*v**3/6 - 22*v. Let n(k) be the second derivative of l(k). What | {
"pile_set_name": "DM Mathematics"
} |
(d) + 2*z(d).
-36*d**2 + d
Let n(i) = -275*i**3 + 12*i**2 + 6*i - 12. Let q(z) = -6600*z**3 + 286*z**2 + 143*z - 286. Give -143*n(b) + 6*q(b).
-275*b**3
Let t(p) = 6*p**2 - 4*p + 1. Let a(v) be the second derivative of -7*v**4/12 + 5*v**3/6 - v**2 - 2*v + 16. Calculate 5*a(l) + 6*t(l).
l**2 + l - 4
Let v(q) = 10*q + 1. Let w(l) = -11*l - 2. Suppose 0 = -11*p - 19 + 63. What is p*v(t) + 3*w(t)?
7*t - 2
Let a(s) = s**2 + 4*s + 1. Suppose 2*c = 20*j - 18*j, 2*c - 3 = -j. Let z(v) = -v**2 + v + 1. What is j*a(k) - z(k)?
2*k**2 + 3*k
Let q(a) = 7*a**3 - 10*a. Let h(c) = 3*c**3 - 5*c. Let i(s) = 9*h(s) - 4*q(s). Let w = 61 + -51. Let k(u) = 0*u + u + u - u. Give w*k(v) + 2*i(v).
-2*v**3
Let j(x) = 5*x**2 - 3. Let r(g) = -g + 2. Let d be r(-2). Suppose -d = p - 13. Let b(c) = 21*c**2 - 13. Give p*j(t) - 2*b(t).
3*t**2 - 1
Let k(j) = -5*j**2 + 9*j + 8. Let f be k(-1). Let c(i) = -9*i - 3. Let v(p) = 8*p + 3. What is f*c(x) - 7*v(x)?
-2*x - 3
Let l = -192 - -191. Let x(j) = -4*j**3 - 5*j**2 + 6*j. Let d(h) = -h**3 - h**2 + h. What is l*x(n) + 6*d(n)?
-2*n**3 - n**2
Let m(r) = -1. Let t(u) = -15 + 7 + 8 + 4. Let x(w) = w. Let o be x(-2). Let d(n) = o*t(n) - 10*m(n). Let z(h) = -h - 11. Give -11*d(g) - 2*z(g).
2*g
Let j(g) = 58*g**2 - 23*g + 17. Let r(v) = 19*v**2 - 8*v + 6. Give -6*j(y) + 17*r(y).
-25*y**2 + 2*y
Let r(o) = -7*o**3 - 5*o**2 - 226*o. Let v(p) = 4*p**3 + 3*p**2 + 113*p. Give 3*r(l) + 5*v(l).
-l**3 - 113*l
Let x(p) = -3*p**2 - p + 2. Suppose 4*k - 5*b = -4*b + 9, 4*b = -2*k. Let m(i) = 2*i**2 + i - 3. Determine k*m(v) + 3*x(v).
-5*v**2 - v
Let h(z) = -2*z**3 - 2*z**2 + 3*z + 3. Let g be h(-2). Suppose 6*p - g = 7. Let w(t) = -2*t**2 - 2. Let b(r) = -r**3 - 2*r**2 - 2. What is p*b(m) - 3*w(m)?
-2*m**3 + 2*m**2 + 2
Let o(w) = -8*w - 11. Let m = 32 - 36. Let a be o(m). Let t(p) = 3*p**2 - 2*p. Let v(y) = 10*y**2 - 7*y. Determine a*t(g) - 6*v(g).
3*g**2
Let f(v) = 2*v**3 + 3*v**2 - 11*v - 8. Let y(i) = -11*i + i**3 + 2*i**2 + 7*i - 2*i**2 + i**2 - 3. What is 4*f(l) - 11*y(l)?
-3*l**3 + l**2 + 1
Let h(q) = q - 4. Let i(w) = -w + 5. Give -5*h(u) - 6*i(u).
u - 10
Let j(c) = -4*c**3 - 3*c + 3. Suppose -2*r = -4, -2*t = 5*r - 3*r - 10. Let h(q) = -5*q**3 - 4*q + 4. Suppose -35*n + 8*n - 108 = 0. Calculate n*j(l) + t*h(l).
l**3
Let s(u) = -u - 9. Let i(n) = -24*n + 361. Let h be i(15). Let l(f) = -1. Determine h*s(v) - 4*l(v).
-v - 5
Let h(n) = -3. Let g(a) = 1. Let z(r) = -2. Let j(c) = 2*g(c) - z(c). Let b(v) = 3*h(v) + 2*j(v). Let i(d) = -2*d**2 + 3. What is -3*b(k) - i(k)?
2*k**2
Let i(t) = -6*t - 2. Let v(r) = -12*r - 5. Suppose 4*k - 6 = 2*y, 12*y - 15*y + 2*k + 7 = 0. Let d = -13 + 11. Give d*v(q) + y*i(q).
-6*q
Let q be (1 - (-285)/(-6))/(33/(-88)). Let f(r) = 131*r + 1 - q*r + 0. Let i(p) = 4*p + 1. What is -3*f(x) + 5*i(x)?
-x + 2
Let u(k) = -k**3 + 2*k**2 - 2*k - 62. Let g(l) = -6*l**3 + 11*l**2 - 11*l - 309. Determine -4*g(p) + 22*u(p).
2*p**3 - 128
Let k(o) = 30*o**2 + o + 5. Let b(a) = -89*a**2 - 3*a - 16. Calculate 2*b(s) + 7*k(s).
32*s**2 + s + 3
Let m(s) = 25275*s**2 - 675*s. Let b(a) = -75*a**2 + 2*a. Calculate -675*b(h) - 2*m(h).
75*h**2
Let v(j) be the second derivative of 2*j**4/3 + j**3/6 - j**2 - 2*j + 13. Let u(a) = -16*a**2 - 2*a + 3. What is -4*u(t) - 7*v(t)?
8*t**2 + t + 2
Let i(k) be the third derivative of -k**5/60 - k**4/12 - k**2. Let p(s) be the third derivative of s**4/24 - 528*s**2 + 3. Calculate i(z) + 4*p(z).
-z**2 + 2*z
Let y(b) = -3*b + 16. Let a(d) = 9*d - 47. Calculate -3*a(v) - 8*y(v).
-3*v + 13
Let f(j) = -4*j. Let y(v) = v + 1. Give -3*f(q) + 3*y(q).
15*q + 3
Let d(n) be the third derivative of 5*n**4/24 - n**2. Let h(v) be the first derivative of -11*v**2/2 + 257. Determine -7*d(t) - 3*h(t).
-2*t
Let w(s) = -s**2 + 8*s + 17. Suppose -48 = -4*c - 2*b, 38 = 3*c + 3*b - 1. Let x(y) = 3*y + 6. Determine c*x(u) - 4*w(u).
4*u**2 + u - 2
Let v(s) = 6*s**2 + 2*s - 250. Let b(z) = 7*z**2 + 2*z - 249. Determine 5*b(l) - 6*v(l).
-l**2 - 2*l + 255
Let p(q) = -q - 10 + 37 + 5*q - 19. Let z(s) = -4*s + 5*s - 3 + 4. Give -p(m) + 8*z(m).
4*m
Suppose -31*h - 2*p - 14 = -36*h, -p = -3. Let i(w) = -6*w**2 + 7*w - 10. Let g(l) = -2*l**2 + 2*l - 3. What is h*i(c) - 14*g(c)?
4*c**2 + 2
Let j(d) = -23*d - 11. Let k(c) = 8*c + 4. Let l be ((-6)/18)/((-2)/36). Suppose -l = p - 1, r = -4*p - 37. What is r*k(h) - 6*j(h)?
2*h - 2
Let l(t) = 304*t**2 - 11*t - 5. Let f(d) = 303*d**2 - 9*d - 4. Calculate 5*f(k) - 4*l(k).
299*k**2 - k
Let h(j) be the second derivative of j**4/4 - 5*j**3/6 - 2*j**2 - 133*j. Let l(a) = 4*a**2 - 6*a - 5. Calculate 6*h(b) - 5*l(b).
-2*b**2 + 1
Let t(c) = 5*c + 53. Let f(a) = 6*a + 53. Calculate 3*f(d) - 4*t(d).
-2*d - 53
Let v(o) = 26*o. Let t(d) = -5*d. Suppose 4*x - 10 = -2*b, -5*b + 5*x + 8 = -17. Suppose 2*c + 28 = -z, -b*c - 2*z = 65 + 7. Determine c*t(u) - 3*v(u).
2*u
Let w = 133 + -124. Let i(l) = 27*l + 9. Let q(m) = 7*m + 2. Give w*q(j) - 2*i(j).
9*j
Let s(f) = -11*f + 5. Suppose -152 = 35*i + 23. Let p = 41 - 47. Let j(b) = 12*b - 6. Calculate i*j(g) + p*s(g).
6*g
Let k(a) = 7*a**2 - 5*a - 210. Let p(y) = -8*y**2 + 6*y + 211. Give -6*k(t) - 5*p(t).
-2*t**2 + 205
Let j(v) = -2*v - 12. Let d(f) = 5*f + 38. Determine -4*d(m) - 11*j(m).
2*m - 20
Let n(i) = 12*i - 3. Suppose -2*r = j + 12, 5*j - 10*j + r - 38 = 0. Let d(b) = 35*b - 8. Give j*n(x) + 3*d(x).
9*x
Let d(y) = -6076*y**3 + 310*y**2 - 310*y - 620. Let v(s) = 59*s**3 - 3*s**2 + 3*s + 6. Calculate -3*d(p) - 310*v(p).
-62*p**3
Let k(w) = -4*w**2 - 5*w + 7. Let o(i) = -7*i**2 - 8*i + 13. Give -5*k(c) + 3*o(c).
-c**2 + c + 4
Suppose -21*r = -18*r + 3. Let h(m) = -1 + 0*m - 2*m + 2*m + m. Let t(y) = -y. Calculate r*h(p) - 3*t(p).
2*p + 1
Let l(v) = 3*v**3 + 7*v**2 + 20*v - 15. Let d(u) = -2*u**3 - 4*u**2 - 11*u + 8. Give -11*d(y) - 6*l(y).
4*y**3 + 2*y**2 + y + 2
Let h(q) = 108*q**2 + q - 10. Let y(i) = -270*i**2 - 3*i + 24. Calculate -12*h(j) - 5*y(j).
54*j**2 + 3*j
Let q(i) = i**3 - i**2 + i + 1. Let z(d) = 3*d**3 - 4*d**2 + 3*d + 3. Let y(f) = 2*f**3 + f + 1. Let l(u) = y(u) + z(u). What is l(o) - 4*q(o)?
o**3
Let y(t) = t**3 - 11*t**2 + 13*t + 18. Let n be y(10). Let c = n + -42. Let o(q) = -12*q. Let l(s) = 2*s. What is c*o(g) + 34*l(g)?
-4*g
Let c(b) = -226*b**2 + 2*b - 4. Let w(t) = 229*t**2 - 3*t + 6. Determine -6*c(h) - 4*w(h).
440*h**2
Let c(n) = 4*n + 1. Let i(u) = -52*u + 4. Give 5*c(q) + i(q).
-32*q + 9
Let s(m) = m**2 - m + 1. Suppose 11 = -5*g + 16. Let d(j) = -j**3 - 6*j**2 + 8*j - 4. What is g*d(c) + 6*s(c)?
-c**3 + 2*c + 2
Let b(n) = 9*n**3 - 18*n**2 + 18*n - 18. Suppose 0 = -d + 6*d + 90. Let p(c) = -c**3 + c**2 - c + 1. Calculate d*p(l) - b(l).
9*l**3
Let z(v) = -6*v - 2. Let u(q) be the third derivative of -13*q**4/24 - 5*q**3/6 + 4*q**2. Determine -4*u(f) + 9*z(f).
-2*f + 2
Let y(q) = q + 1. Let v(w) = w**3 + 9*w**2 - w - 8. Suppose 18*f - 16*f + 18 = 0. Let k be v(f). Let x(j) = -2*j**2 + 3*j + 1. What is k*x(b) - 3*y(b)?
-2*b**2 - 2
Let z(f) = 14*f**3 + 6*f + 168. Let h(y) = 12*y**3 + 5*y + 168. What is -6*h(b) + 5*z(b)?
-2*b**3 - 168
Let z(l) = -l + 12. Let k(a) = -a + 19. Calculate -3*k(o) + 5*z(o).
-2*o + 3
Let m(o) = o + 1. Let l = -467 - -462. Let n(h) = -4*h - 6. Determine l*m(q) - n(q).
-q + 1
Let g(k) = 12*k**3 + 17*k**2 + 4. Let n(a) = -4*a**3 - 6*a**2 - 1. Determine -6*g(y) - 17*n(y).
-4*y**3 - 7
Let c(q) = 2*q**2 - 26. Let u(x) = 5*x**2 - 28. What is 3*c(h) - 2*u(h)?
-4*h**2 - 22
Suppose -4*z - 64 = -36*z. Suppose m - 4*k = -0*k - 9, -2*m - 4*k = -30. Let v(q) = -3*q**2 - 3*q. Let w(p) = p**2 + p. Give m*w(a) + z*v(a).
a**2 + a
Let j be 10/14 - 4/(-14). Let g(z) = -1. Let l(w) = 2 - 223*w - 3 + 2 + 2 + 220*w. What is j*l(p) + 2*g(p)?
-3*p + 1
Let l(n) = -4*n + 5. Let y = 59 - 40. Let i(w) = y - 3*w - 18 + 2*w. Calculate 3*i(k) - l(k).
k - 2
Let p(x) = -3*x**3 + 4*x**2 - 64*x + 10. Let f(s) = -9*s**3 + 11*s**2 - 192*s + 28. Calculate -4*f(c) + 11*p(c).
3*c**3 + 64*c - 2
Let f(k) = 3*k**2 - k + 5. Let s(t) = 16*t - 7 - 6*t + 8*t**2 - 11*t**2 + 3 - 9*t. Suppose -5*w = -5*j - 55, -2*j = j + 5*w - 7. Give j*s(g) - 5*f(g).
3*g**2 - g - 1
Let c be 0 - (9 + -3 + -7). Let h(i) = -i + 1. Let r(q) = 8*q - 4. What is c*r(x) + 6*h(x)?
2*x + 2
Suppose 99*p = 116*p - 85. Let v(b) = -b - 7. Let x(c) = -6. Determine p*x(s) - 4* | {
"pile_set_name": "DM Mathematics"
} |
t v(l) = -2*l. Let b(z) = 7*z**2 - 126*z + 8. Let u(k) = -39*k**2 + 629*k - 44. Let m(j) = -33*b(j) - 6*u(j). Calculate m(v(s)).
12*s**2 - 768*s
Let c(y) = -y**2. Let v(h) = -4048821*h. Calculate c(v(i)).
-16392951490041*i**2
Let p(b) = 13712*b. Let f(u) = 5*u**2 - 156. Give f(p(t)).
940094720*t**2 - 156
Let s(x) = -295943*x. Let k(u) = 3*u. Give s(k(i)).
-887829*i
Let c(k) = 7*k. Let o(q) = -6 + 11*q - 10*q + 3 - 11 - 8*q. Calculate c(o(a)).
-49*a - 98
Let t = -113 + 118. Let v(b) = 5 - t - 4*b + 5*b. Let h(l) = -10*l**2. Calculate h(v(u)).
-10*u**2
Let k(m) be the third derivative of m**4/12 + 2572*m**2. Let q(z) = -8193*z. Give q(k(d)).
-16386*d
Let a(b) = 1781610*b**2. Let c(r) = 3*r. Give c(a(y)).
5344830*y**2
Let c(l) = 3284*l**2. Let a(t) = 619*t. Let p(q) = -1392*q. Let v(b) = -9*a(b) - 4*p(b). Determine v(c(r)).
-9852*r**2
Let c(m) = m. Let v(a) = -386600*a. Determine c(v(s)).
-386600*s
Let q(f) = 29*f**2 + 1200. Let w(m) = -m - 259. What is w(q(d))?
-29*d**2 - 1459
Let z(j) = 4*j**2. Let v(w) be the third derivative of -3*w**2 + 0 + 0*w**3 + 0*w - 1/4*w**4. Calculate v(z(f)).
-24*f**2
Let d(o) = 5*o - 10. Let n(a) = a + 163. Give n(d(p)).
5*p + 153
Let x(i) = 2351*i**2 + 20*i. Let k(c) = 1412*c. Give k(x(m)).
3319612*m**2 + 28240*m
Let t(i) = 2*i**2. Let g(z) be the third derivative of z**4/24 - 93*z**3 + z**2 - 13*z - 73. What is t(g(d))?
2*d**2 - 2232*d + 622728
Let y(b) = 3*b**2 + 5*b + 5. Let d be y(-3). Let w(l) = 0*l + l - d*l. Let u(x) = x**2 - 7194 + 7194. Determine u(w(m)).
256*m**2
Let j(b) = 28*b. Let t = 12790 + -12788. Let f(i) be the third derivative of -1/60*i**5 - 4*i**t + 0 + 0*i**3 + 0*i**4 + 0*i. Determine j(f(u)).
-28*u**2
Let o(l) = -21*l - 218204. Let a(j) = -j. Calculate o(a(s)).
21*s - 218204
Let h = -73 + 84. Let k(s) be the first derivative of 20 - 40 - s**2 + h. Let p(t) = -2*t. What is p(k(c))?
4*c
Let h(p) = -8*p + 4. Let c(g) = g**2 + 12*g - 6. Let l(m) = 2*c(m) + 3*h(m). Let q(x) = -649*x - 2. What is l(q(a))?
842402*a**2 + 5192*a + 8
Let h(g) = g - 4. Suppose 0*u - 11 = 3*u + 4*d, -2*d = u + 7. Let b(a) = -2. Let w(z) = u*h(z) - 6*b(z). Let j(n) = -7*n**2. What is w(j(q))?
-21*q**2
Let r(p) = -30*p**2 - 118502605 + 118502605. Let q(a) = 212*a. Calculate r(q(v)).
-1348320*v**2
Let g(t) = 4*t. Let x be (-66)/(-18) - 2/3*1. Let u(y) = x - 3 + 14*y**2 + 10*y**2. Give u(g(f)).
384*f**2
Let o(b) be the first derivative of 7 - 5*b**2 - 1053*b + 19 + 1053*b. Let q(f) = 9*f. What is q(o(a))?
-90*a
Let q(l) = 8*l**2. Let y(j) = 753723*j**2 - 1. Give y(q(f)).
48238272*f**4 - 1
Let d be (-27)/(-2)*8*(4 - 3). Let q(i) = 1. Let o(k) = 6*k + 54. Let h(w) = d*q(w) - 2*o(w). Let b(x) = 14*x**2. Determine h(b(g)).
-168*g**2
Let j(w) = 1032*w - 6873*w + 3395*w. Let y(m) = -3*m. Determine j(y(h)).
7338*h
Let r(j) = -26 + 15 + 4 + 11*j + 7. Let d(z) = 20*z. Calculate r(d(l)).
220*l
Let p(k) = k**2. Let q be (-16)/(-2 - -1 - 1). Let x(h) = h**2 + 5 - q + 0 - h + 4. Let y(s) = 15*s**2 - 2*s + 2. Let n(i) = 4*x(i) - 2*y(i). Determine n(p(j)).
-26*j**4
Let t(c) = c - 5544366. Let a(u) = 2*u. Determine a(t(i)).
2*i - 11088732
Let x(a) = a**2 + 12*a + 18. Let z(g) = -2*g - 3. Let i(o) = x(o) + 6*z(o). Let r(f) = -8*f**2 + f**2 - 4*f**2 + 5*f**2. Give i(r(c)).
36*c**4
Let h(w) = w. Let o(q) be the second derivative of -q**4/12 - 44*q**2 + 196*q + 25. Calculate h(o(n)).
-n**2 - 88
Let b(z) = -10*z - 8790. Let u(f) = 35*f. What is u(b(y))?
-350*y - 307650
Let v(z) be the second derivative of -17*z**4 - 2*z + 1770. Let y(a) = 4*a. What is v(y(g))?
-3264*g**2
Let i(t) = 4*t. Let h(d) = -64970395*d**2. Determine h(i(g)).
-1039526320*g**2
Let n(s) be the third derivative of -s**4/12 - 67*s**3/3 - 3529*s**2. Let z(i) = -2*i**2. Determine z(n(v)).
-8*v**2 - 1072*v - 35912
Let a(z) be the second derivative of -2399*z**3/6 - 3*z - 59. Let o(x) = -2*x. What is a(o(n))?
4798*n
Suppose 2*b - 22 = 2*n, -3*b - n - 14 + 43 = 0. Let o(g) = 2*g - 24*g + b*g + 11*g. Let z(s) = 10*s. Determine o(z(t)).
-10*t
Let p(w) be the second derivative of -7*w**5/60 + 45*w**2 + 39*w. Let t(a) be the first derivative of p(a). Let j(i) = 8*i. Calculate j(t(d)).
-56*d**2
Let w(r) = 3*r + 3182 - 6374 + 3192. Let z(x) = -834*x**2. Calculate w(z(p)).
-2502*p**2
Let t(p) = -561054*p**2. Let o(z) = 8*z**2. Determine o(t(r)).
2518252727328*r**4
Let m(v) = -84926914*v**2. Let p(k) = -k**2. What is p(m(f))?
-7212580721563396*f**4
Let p(o) = o. Let x(m) = 12563892*m. What is x(p(g))?
12563892*g
Let w(a) = 1 - 12*a - 1. Let c(t) = 54*t**2 - 279*t**2 + 54*t**2 + 52*t**2 + 113*t**2. What is w(c(n))?
72*n**2
Let t(b) = 5*b + 7. Let s be t(1). Let n(m) = -6*m + s*m + 10*m. Let q(p) = -7*p. Calculate q(n(r)).
-112*r
Let r(c) be the first derivative of -2*c**2 + 1599. Let v(i) = 231*i. Calculate r(v(d)).
-924*d
Let t(w) = 3*w. Let a(s) be the third derivative of -155*s**2 + 0 + 0*s**3 + 83/24*s**4 + 0*s. Calculate a(t(y)).
249*y
Let l(j) = -16*j. Let b(f) be the third derivative of f**6/45 - 10*f**3/3 - 15*f**2. Let v(r) be the first derivative of b(r). What is l(v(w))?
-128*w**2
Let n(b) = -19492 + 19492 + 7*b**2. Let v(l) = 130*l. What is v(n(o))?
910*o**2
Let p(v) = 1385765*v. Let q(k) = 864*k**2. What is q(p(f))?
1659177764834400*f**2
Let o(j) = 7*j + 129. Let w(f) = -f + 12336. What is o(w(a))?
-7*a + 86481
Let p(f) be the first derivative of -f**2 - 25. Let m(b) = -7*b - 28*b - 22*b + 3*b. Give m(p(x)).
108*x
Let w(b) = 81371547*b**2. Let h(u) = u**2. What is w(h(i))?
81371547*i**4
Let x(s) = -2*s**2. Let c = -23966 - -23969. Let b(f) be the third derivative of 0*f**c - 1/8*f**4 - 7*f**2 + 0 + 1/10*f**5 + 0*f. Determine b(x(j)).
24*j**4 + 6*j**2
Let r(f) = -4145*f**2 - 4145*f**2 + 8295*f**2. Let a(z) = z**2 + 5*z**2 + 2*z**2. Give r(a(d)).
320*d**4
Let y(v) = 2*v**2 - 3*v - 3. Let n(c) = c + 4 - 5*c**2 + 4*c**2 + 1 - 4. Let z(s) = 6*n(s) + 2*y(s). Let i(w) = w**2 + 12744*w - 12744*w. Give i(z(a)).
4*a**4
Let l(m) = 3*m**2 - m**2 - 5*m**2. Let t = -82 - -84. Let k(x) = -10*x**2 - 8*x**2 + 2*x**t + 24*x**2. Calculate l(k(f)).
-192*f**4
Let z(x) = 2*x. Let j(y) = -80*y + 774. Let p(a) = 24*a - 258. Let k(g) = -2*j(g) - 7*p(g). Give k(z(o)).
-16*o + 258
Let r(v) = -17*v. Let d(g) be the second derivative of 23 + 0*g**2 + 0*g**3 - 2*g + 7/12*g**4. Calculate r(d(o)).
-119*o**2
Let v = -152 - -164. Let h(x) = 14*x + 14*x + v*x - 22*x. Let y(k) = -4*k**2. Let a(q) = -5*q**2. Let c(n) = -3*a(n) + 4*y(n). What is h(c(g))?
-18*g**2
Suppose 0 = -4*l - 1 + 9. Let w(i) = -16 + 33 - 17 - l*i. Let v(u) = 7*u + 2. Let t(q) = -13*q - 5. Let a(p) = 6*t(p) + 15*v(p). Determine w(a(c)).
-54*c
Let l(j) = 20146875*j**2. Let b(k) = 3*k**2. Calculate b(l(u)).
1217689716796875*u**4
Let n(q) = 7*q + 21. Let a(o) = -3*o - 10. Let m(p) = -5*a(p) - 2*n(p). Let s(b) = -86167*b**2 + 172329*b**2 - 86161*b**2. What is s(m(r))?
r**2 + 16*r + 64
Let t(k) = 7*k. Suppose -5*f = 2*w + w - 49, 4*w = -3*f + 58. Let m be (-6)/(-15) - 6/(-60)*146. Let s(n) = m*n - 22*n + w*n. Give s(t(q)).
42*q
Let m(w) = -2*w - 1772163. Let o(h) = 47*h**2. Determine m(o(b)).
-94*b**2 - 1772163
Let r(q) = -8*q. Let t(u) = -887004*u - 2. Calculate r(t(z)).
7096032*z + 16
Let x(d) = 2*d**2 - 2*d - 1. Let k(l) = 37*l**2 - 6*l - 3. Let j(u) = -k(u) + 3*x(u). Let y(v) = -42*v + 1. Calculate y(j(i)).
1302*i**2 + 1
Let x(h) = -14*h. Let w(l) = -24641762*l. Calculate x(w(j)).
344984668*j
Suppose -5*s + 2592 = -22*f + 26*f, 2*s - 2*f - 1044 = 0. Let k(x) = -s*x + 261*x + 260*x. Let d(z) = 18*z**2 - z. What is d(k(r))?
18*r**2 - r
Let o(d) = -177879*d**2 + 3*d + 3. Let h(w) = 51*w**2. What is o(h(p))?
-462663279*p**4 + 153*p**2 + 3
Let k(p) = -10*p - 2. Let c(z) = 10*z + 58092. Determine c(k(d)).
-100*d + 58072
Let l(s) = 52008*s**2 + 5 - 5 - 52007*s**2. Let d(m) be the second derivative of 8*m + 5/4*m**4 + 0*m**3 + 0*m**2 + 0. What is d(l(i))?
15*i**4
Let k(y) = 6*y + 26. Let c = 408 - 447. Let n(w) = w + 4. Let x(v) = c*n(v) + 6*k(v). Let o(a) = 104*a**2. What is o(x(p))?
936*p**2
Let n(g) = 1557136*g. Let f(j) = 13*j**2. Calculate f(n(z)).
31520742792448*z**2
Let s(z) = z + 140. Let r(j) = 19542*j. Determine s(r(u)).
19542*u + 140
Let k(z) = z**2 - 4*z + 4. Let h(d) = d**2 + 5 - 2 - 9*d + 4*d + 2*d. Let n = -6 - -3. Let f(x) = n*k(x) | {
"pile_set_name": "DM Mathematics"
} |
(-24). Suppose q + q = 4. Solve n = -q*a - 3 for a.
-3
Let k(p) = p**2 + 2. Let s be k(0). Solve 3 = r - s for r.
5
Suppose 5*h - h - 16 = 0. Let v be (-11)/(-6) + h/24. Solve -5*m = -4*m - v for m.
2
Suppose -3*n - 4*t + 8*t = -36, -t - 12 = -n. Solve -2*q - n = 2*q for q.
-3
Let r be (-2)/(-2 - -10)*-4. Let o = 4 - r. Solve -4*v = -o*v for v.
0
Let w be (-1)/(10/(-4))*-5. Let p be (-20)/(-15)*(-3)/w. Solve -p*x = -x for x.
0
Suppose -17 + 5 = -3*w. Solve c = -3*c + w for c.
1
Let g = 61 + -58. Solve 2*s + 1 = g*s for s.
1
Suppose 2 = -5*i + 22. Let n be 2/(i/(-6)) - -5. Let h be 1*(n - 4)*-2. Solve h*g + 3 = 11 for g.
2
Let f(z) = -z**2 + 3*z. Let k be f(2). Solve 0 = -3*a - 4 - k for a.
-2
Suppose -4*x + 2 = 10. Let s(p) = -4*p - 2. Let q be s(x). Solve 0 = -f + q*f for f.
0
Let o be 4 - -3*4/(-6). Suppose 2*w - u = 5, 5*w = 2*u + 10 + 4. Solve w - 2 = o*d for d.
1
Let m = -31 - -46. Let p = -15 + m. Solve p = 4*f - 0 - 8 for f.
2
Suppose -8*t + 52 = 5*t. Solve -l + 20 = t*l for l.
4
Let h = 15 + -13. Solve 0 = -g - h for g.
-2
Suppose -2*o - 2 = z, 0 = -3*z + 3*o + o + 14. Solve -z = u - 2*u for u.
2
Let f(u) be the second derivative of 2*u**3/3 - u**2/2 + 8*u. Let r be f(1). Solve 0 = r*i - 13 + 1 for i.
4
Let u(x) = -x**2 - 13*x + 14. Let d be u(-14). Solve -4*b - 17 + 1 = d for b.
-4
Let o = 4 + -1. Suppose -u = 0, -5*u + 2 = -2*d + 6. Suppose 4*a = -0*b + 3*b - 20, -d*a + 18 = 2*b. Solve -o = y - b for y.
5
Let r(o) = -o**3 - 7*o**2 + 3*o - 35. Let i be r(-8). Solve 7 = -2*z + i for z.
-1
Suppose -4*l = 5*r - 2*l - 11, -5*l = -r + 13. Let p be 3 + 0/(9/r). Solve 0 = -q - p*q for q.
0
Let x be (7/2)/((-8)/16). Let f(m) = -m - 7. Let r be f(x). Solve z = -r*z for z.
0
Let a be (30/(-4))/(2/(-4)). Suppose 4*f - a = 9. Solve -f + 3 = -3*s for s.
1
Suppose 0 = 2*n - 3*n + 2. Solve 0 = 4*s - n*s + 10 for s.
-5
Suppose 0*a = -2*a + 30. Let p = 18 - 12. Solve 3*j + p = a for j.
3
Let w be 4/(-2) - (-5 - 11). Let v = w + -7. Solve v + 3 = -2*u for u.
-5
Let s(t) = t**2 - 5*t + 2. Let y be s(5). Let z be 51/3 - 2*1. Let l be 3/z - (-2)/(-10). Solve l = 2*i - i + y for i.
-2
Let s(f) = -f**2 + 6*f + 2. Let q be s(6). Solve r = q*r - 5 for r.
5
Let t(y) be the third derivative of -y**6/120 + y**5/15 - y**4/24 + 8*y**2. Let b be t(3). Solve 0 = -4*f + b + 10 for f.
4
Let n(g) be the second derivative of -5/2*g**2 + 0 + 3*g + 11/6*g**3 - 1/12*g**4. Let a be n(10). Solve -a*w + 2*w + 3 = 0 for w.
1
Let i(q) = q - 5. Let c be i(10). Suppose 0 = -6*g + 4*g. Suppose g*z = -2*z - 4*t + 6, -4*z + 4*t = -12. Solve -z*u + 4*u = c for u.
5
Suppose 5*q - 40 = -0. Solve -3*n - q = 7 for n.
-5
Let r(d) = d**2 + 5*d + 1. Let o(m) = m**2 + 5*m. Let p(l) = -4*o(l) + 3*r(l). Let y be p(-5). Let k(x) = 2*x - 1. Let i be k(y). Solve i*s - 14 = -4 for s.
2
Suppose 2*v - 1 = 1. Let l be ((-6)/(-2))/v - -1. Solve s = l - 2 for s.
2
Let f(t) = t**3 - 9*t**2 + 7*t + 8. Let u be f(8). Suppose -3*k - k = u. Solve -3*n + k*n = 0 for n.
0
Let g(d) = 4*d**3 + d**2 - d + 1. Let l be g(1). Let b = -5 + l. Solve 1 = -q - b for q.
-1
Suppose 7 = 5*m + 3*j, 3*m = 3*j + 8 + 1. Let k be ((-2)/m - 0) + 1. Suppose -2*b + 10 + 0 = 0. Solve -3*v + b*v = k for v.
0
Let b be (-69)/3*(-2 + 6). Let u be (-4)/22 + b/(-22). Solve 5*o = u*o - 4 for o.
-4
Let m(o) be the first derivative of -o**4/4 + 2*o**3 + 4*o - 2. Let y be m(6). Solve y*a - 1 = 5*a for a.
-1
Suppose -4*d + 13 - 1 = 0. Let p(q) = -q**2. Let b be p(-2). Let v be 1*b + 2 + 2. Solve v = -3*l - 0 - d for l.
-1
Let m be 2/(2/2) + 0. Suppose -x - 4 = -u, 0 = -2*u + 4*u - 4*x - 6. Suppose 0 = b + 2 - u. Solve -m*t = -b*t - 4 for t.
-4
Let z = 1 + -1. Suppose -3*a - 3 + 15 = z. Let d = -3 + a. Solve -y + d = -2*y for y.
-1
Suppose -2*x - 3*x = t + 11, -t - 3*x - 5 = 0. Suppose q - 16 = i, -3*i - 1 = -t. Solve q = 4*f + 5 for f.
3
Suppose -9*v + 11*v - 4 = 0. Solve 5 = -v*w - 3 for w.
-4
Suppose o = 3 + 3. Suppose -o*m - 4*p = -3*m - 75, -5*p = 3*m - 75. Solve 4*a = -a + m for a.
5
Let c = -66 + 76. Solve 4*f + 10 = -c for f.
-5
Suppose m - 2*y = -6*y - 3, 4*m - 4*y = -12. Let x be m*(1 + (-1 - 1)). Solve 0 = -0*v + x*v + 3 for v.
-1
Let v(b) be the first derivative of b**3/3 + b**2/2 + 5*b + 3. Let l be v(0). Solve -3 = -l*w + 7 for w.
2
Let z = -44 + 47. Solve y + 16 = -z*y for y.
-4
Let q be ((-1 - -1)/(-1))/(10/5). Suppose 7*y - 2*y = -2*b + 12, -2*y = -b - 12. Solve q = 5*l - y*l - 1 for l.
1
Let b = 6 - 6. Solve -z = -b*z for z.
0
Suppose -3*m + 3 + 3 = 0. Suppose -7*p - p = -72. Solve p = h + m*h for h.
3
Let t(u) = u**3 - 6*u**2 + 5*u - 26. Let i be t(6). Solve -9*v + i*v = 0 for v.
0
Let t be (18/(-5))/(3/(-15)). Suppose 14 = 3*x + f, -f - t = -3*x - 2*x. Let l be 0 + -2*(2 - 3). Solve x*i - 4 = l*i for i.
2
Suppose 0 = -2*r + 10 - 2. Solve -8 = -6*s + r*s for s.
4
Let f(a) = a + 5. Let x be f(-4). Solve -13 = 4*k - x for k.
-3
Suppose 3*r - 6 + 0 = 0. Suppose 5*x + 3*i = 16, 3*x + 4*i - 12 = r. Solve -1 = 3*l + x for l.
-1
Let s = 8 + 10. Suppose l + 2*l - s = 0. Suppose -c = 5*v, -5*c + 6*v = 2*v. Solve 4*g - g - l = c for g.
2
Let c(k) = -2*k**3 - 2*k**2 - 3*k - 2. Let a be c(-2). Solve -2*f - f = a for f.
-4
Let x = 52 + -33. Let q be (-2)/(-2) + -1 + 2. Suppose q*s = 5*i - i, 5*i - 14 = -s. Solve s*l - 3 + x = 0 for l.
-4
Let b = -2 - 1. Let r be (-12)/(-9)*b/(-2). Solve -o + r + 2 = 0 for o.
4
Let o = 10 - 7. Suppose -o*a = -5*k + 6, 1 + 5 = 2*a. Solve k*r - 7*r - 20 = 0 for r.
-5
Suppose 20 = d - 6*d, -4*t + 4*d = -24. Suppose -2 = -h + t. Suppose l + l = h. Solve -l*u - 3 = 1 for u.
-2
Suppose 0*a = h + 3*a + 10, 0 = h - 5*a - 22. Suppose -4*d + 35 = -5*p - h, 2*d = -p + 1. Solve -2*j - 5 = d for j.
-4
Suppose -12*d - 20 = -16*d. Solve -5*b + d = -5 for b.
2
Suppose -2*f - 4*c + 20 = 3*f, 2*f = 2*c + 8. Suppose 4 = 4*v + 4*p, -6*p + f = -2*p. Solve 6*i - 3*i = v for i.
0
Let c be ((-2)/6)/(-2 + (-85)/(-45)). Solve -2*p + 1 = c for p.
-1
Let s be (-3)/(-1) + 0 - (-20 + 19). Solve 0 = s*t + 1 + 11 for t.
-3
Let x be (-558)/(-27) + (-4)/6. Suppose -2*g + 2*q + 4 + 2 = 0, -4*g - 4*q + x = 0. Solve 0 = p - g + 3 for p.
1
Suppose -3*q = 5*v - 35, 6*q - 4*v - 16 = 4*q. Solve 4*f + q = -f for f.
-2
Let h be (4/(-3))/((-1)/3). Suppose -h*d + 7 = -3*d - 2*i, 3*d - 5 = -2*i. Solve 6 + 9 = -d*y for y.
-5
Let a = -16 + 16. Solve a = 4*x - 4 + 24 for x.
-5
Let k be 5/15 - (-14)/3. Suppose 2*w - 2*u + 2 - 8 = 0, -2*u = -w + k. Solve -9 + w = 4*j for j.
-2
Let k(p) = p**3 - 6*p**2 - 2*p + 14. Let i be k(6). Suppose 4*l = -0*l + 4. Let q be -1 - i - (l - 6). Solve -a = q*a - 6 for a.
2
Let d be 6/18 + 14/3. Solve -2*z + 3*z + d = 0 for z.
-5
Let w(y) be the second derivative of -y**4/12 - 3*y**3/2 - 5*y**2/2 + 2*y. Let f be w(-8). Suppose -3*d - f = -12. Solve z = -d*z + 4 for z.
1
Let w(o) be the third derivative of -o**5/60 + 5*o**4/24 - o**3/2 + o**2. Let u be w(3). Solve u = -n - 0*n for n.
-3
Suppose 2*a - 5*u = 1 - 20, 0 = -a - 2*u + 13. Let p be 2/4*0/(-1). Solve -x = -p*x + a for x.
-3
Let f(b) = b**2 - 4*b + 2. Let h be f(5). Let o be (-3)/9*(4 - h). Solve -4*z = -o - 11 for z.
3
Suppose -4*o = 5*q + 43, 0 = 3*q + 10 - 1. Let p = -4 - o. Suppose -2*m - 2 = 0, -m + 1 = 3*s - 16. Solve -n = s - p for n.
-3
Let m(v) = 0*v + 11 - 4 - 2*v. Let u be m(5). Let k(i) = i**2 + 2*i + 3. Let s be k(u). Solve 0 = -s*t + 4*t - 6 for t.
-3
Let n be (-2)/(-3) - (-10)/(-6). Suppose -3*p = -5*p + 2. Let i = n + p. Solve i = -5*m - 6 - 14 for m.
-4
Suppose -3*j = 5 + 1. Let y be ((-8)/6)/(j/3). Suppose -n - y*q = 3*q - 8, 5*q = n + 2. Solve -g + 4*g = -n for g.
-1
Suppose -w + 20 = 3*w. Suppose -40 = -w*q + 3*s, 3*q = -s + 2*s + 20. Solve -q*p = -p + 20 for p.
-5
Let i be (-3)/(5 + -2) + 1. Let y be (0*(-1 - i))/(-1). Suppose -a = -3*a + 10. Solve 25 = -a*n - y*n for n.
-5
Suppose -4*k - 5 = -2*t + 23, -1 = -4*t - 3*k. Solve -t*b = b for b.
0
Suppose 5*l - 2*z = -1 + 2, 4*l = 3*z - 2. Let v be (l - 7)/2*-1. Suppose v*n - 15 = -3. Solve 4*q = 2*q + n for q.
2
Let c(y) be the second derivative of -y**5/20 - y**4/12 + y**3/6 + y**2 - 2*y. Let t be c(-2). Let h = t - -2. Solve -2*r = r + h for r.
-2
Suppose 4*q = 2*s + 22, -3*q - 4*s - s + 23 = 0. Suppose -5*j - 2 = -17. Suppose 3*r = -j, 3*r + 30 = 5*n - 2*r. Solve -c = -q*c + n for c.
1
Supp | {
"pile_set_name": "DM Mathematics"
} |
ve -20 = -v*o + 4*g, o - 3*g - 11 = -o for o.
4
Let r be 1 + (-32)/(-20) - (-4)/10. Let b(y) = -2*y + 1. Let a be b(-2). Solve r*t + 5*k = 1, -3*t + 12 = -a*k + 1 for t.
2
Let u(s) = -s**3 + 14*s**2 + 14*s + 20. Let l be u(15). Solve -6*z + 2*f = -z - 20, -f + 5 = l*z for z.
2
Suppose -5*h + 5*t = 5, -t = 7*h - 3*h - 21. Solve h*c = d + 7*c - 10, -3*c + 9 = 0 for d.
1
Suppose -30*j + 28*j = 0. Solve x - 5 = 0, 17 = -3*w + x - j*x for w.
-4
Let v(u) = -u**3 - 5*u**2 - 2*u - 5. Let z be v(-5). Suppose z*b - b = 56. Let g be (-10)/(-3) + (-2)/(-3). Solve 0 = k + r, -b = g*r + 2 for k.
4
Let l(x) = -x + 4. Let p be l(0). Let y(r) = r**3 + 3*r**2 + 2. Let v be y(-3). Let k be 2 - ((-1 - -1) + v). Solve k = h - 2*d + p + 1, -d - 25 = 5*h for h.
-5
Suppose u = 5*u - b + 13, 0 = 4*u - 4*b + 4. Let h(m) = 2*m**2 - m - 1. Let w be h(-2). Let y = u + w. Solve 0 = 5*i - 4*p + y, -4 = 4*i - 4*p + 2*p for i.
-1
Let c(t) = -2*t + 1. Suppose 4*p + 6 = p. Let o be c(p). Suppose -v - 3 + 0 = 0, 28 = o*z - v. Solve -2*a - a = z*g, 4*a = -g for g.
0
Suppose 7*k - 10*k + 3 = 0. Solve -x - k = 3*c, -5*x = -c - 19 - 8 for c.
-2
Let a(n) = n**2 - 7*n - 10. Let c be a(8). Let o be 3*c/(-9)*21. Solve 2*f = t + 3*t + o, 0 = t - 5*f + 8 for t.
-3
Let r(k) = -k**2 - 6*k - 3. Suppose 0 = -8*d + 12*d + 8. Let b be r(d). Solve 5*y + b*h + 3 + 12 = 0, -4*y + 5*h = 21 for y.
-4
Suppose -2*j + 4 = -j. Let i(b) = b - 4. Let q be i(j). Solve -2*n - 3*u + 2*u - 9 = q, 5*u + 17 = 4*n for n.
-2
Let c be ((-1)/(-3))/((-16)/(-96)). Solve -14 = -3*v - c*o, o - 4*o + 4 = -4*v for v.
2
Let v be 18/(-5) + (-2)/5. Let p = 6 + v. Let l be -2 + 2 + (-36)/(-9). Solve 5*a = t + p + 3, -l = -4*t - 4*a for t.
0
Let o(m) = m**2 - 5*m + 4. Let t be o(5). Suppose q - 3*q = t. Let n be (q - (-3 + -1))/1. Solve 4*l + 15 = -3*v, 4*v - n = -0*v + 2*l for v.
-1
Let s(a) = a**3 + 2*a**2 - 1. Let f be s(-1). Solve f = 2*t - 3*t - 2*i - 5, 0 = -4*i - 20 for t.
5
Suppose -2*m + 22 = 5*v, 4*m + 34 = 9*m + 2*v. Solve 8 = 3*z + 4*g, m*z = z - g + 2 for z.
0
Let j = 110 - 108. Solve -q - i - 5 = j*q, 4*q - 2 = 3*i for q.
-1
Let i = 4 - 12. Let q = -5 - i. Solve 4*b - 1 = -q*f, 0*b - f = 2*b - 1 for b.
1
Let s be (-4)/(-18) + 16/9. Let q = -21 - -21. Solve -5*r + 4*y + 28 = 0, -s*r + 10 = -q*r - y for r.
4
Let f(n) = 2*n**3 - 19*n**2 - 9*n - 8. Let c be f(10). Solve 0 = 2*d - 2*i - c, -5 = 2*i - 1 for d.
-1
Let q(o) = o + 11. Let a be q(2). Solve 3*n = -4*i - 6 - 2, a = -3*n - 5*i for n.
4
Let w(l) = -l**3 - 12*l**2 - 11*l + 5. Let h be w(-11). Let o be 2/3*(-15)/(-10). Suppose 0 = 2*x - o - 3. Solve 3*n = 2*f - 0*n - 7, -x*f = -h*n - 13 for f.
-1
Let b = -10 - -10. Let r(t) be the third derivative of -t**6/120 - t**5/60 + 2*t**3/3 - t**2. Let n be r(b). Solve 0 = 3*h - n*g, -2*g = 5*h - 3*h for h.
0
Let r be 32/4 + (-1)/1. Let n = r + -3. Solve i + 3*i + 5*c = -17, 0 = 2*i - n*c - 24 for i.
2
Let r(t) = -t**3 + 13*t**2 - 10*t - 14. Let i be r(12). Suppose l - w - 37 = -2*l, -2*w = -i. Solve 0 = 5*n + 6 - 1, -5*d + n = l for d.
-3
Suppose 2*f - 10 = -6. Solve 0*r - 2*g = f*r, -4*r - 6 = g for r.
-2
Let r = 31 + -20. Let w(s) = -s**3 + 11*s**2 + s - 8. Let b be w(r). Solve -5 = x - 2, n - b*x = 8 for n.
-1
Suppose 3*f - 10 = 26. Let r = f + -3. Solve -3*n - 13 = -2*p, -2*p - n + r = -0*n for p.
5
Suppose -5*z + h + 4*h + 30 = 0, 0 = 4*z - 3*h - 20. Suppose -24 + 4 = -z*k. Suppose k = 3*w + 2*w. Solve -t - 4 = -w*t, 4*q - 4*t + 36 = 0 for q.
-5
Let i(f) = -f**3 - 8*f**2 - f - 8. Let x be i(-8). Solve -3*n + 16 = -5*r, 3*r + 21 = -2*n - x for r.
-5
Let t be 7/3 - (-6)/9. Let l be (0 - -1)*(t - -2). Solve -3*r - 15 = l*n, -4*r = -4*n - 7 - 5 for n.
-3
Let y(j) be the third derivative of -j**4/24 - 2*j**3/3 + j**2. Let v be y(-6). Suppose 22 + 24 = v*b. Solve -5*w + 20 = 5*z, -4*w + z = -2*z - b for w.
5
Let t be 51/68 + 214/(-8). Let j = -12 - t. Solve 5*m - 4 = 4*d - j, 3*m + 14 = 4*d for m.
2
Let q = 0 - -2. Suppose 12 = q*l + 4. Suppose -10 = -l*z - 2. Solve -3*k - 11 = -z*i, -i + 10 = -4*k - 3*i for k.
-3
Suppose 0 = -5*d + 10, -3*h = -7*h - d + 22. Suppose -h*l + 70 = 3*a + 2*a, -3*l - 5*a = -46. Solve n + l = 2*n - 2*m, 2*m + 8 = -n for n.
2
Suppose 0 = -4*v + 2*v + 2*b + 8, -b - 1 = 2*v. Solve 2*i - m = -2*m + v, 2*i + 5*m + 19 = 0 for i.
3
Suppose 0 = -6*z - 3*z + 27. Let k(s) = -s**2 + 4*s - 3. Let v be k(3). Solve v = -5*l + z*f - 22, 3*f - 10 = 3*l - 2*f for l.
-5
Let a be 2*((-3)/(-2))/1. Suppose -5 = -5*c + 5*r, -5*c + 5*r - 35 = -10*c. Solve -37 = -5*p - a*u - 0*u, -c*p - 2*u = -28 for p.
5
Suppose 2*n = a + 10, 4*a + 15 = n + 2*n. Solve -5*g + 3*g - u = 3, -6 = n*g + 4*u for g.
-2
Let u(w) = w**3 + 14*w**2 - 16*w - 10. Let x(s) = s - 26. Let b be x(11). Let c be u(b). Solve -c*v = -v + 4*n + 8, 0 = 4*v + 3*n + 3 for v.
3
Suppose 17*o - 19*o = 0. Let w(f) = -f. Let z be w(o). Solve -2*p + 0 = -j - 4, z = 2*j + 5*p - 28 for j.
4
Let i be 15/(-9)*(-12)/4. Solve -3*v - 8 = -i*n, -2*n + n = v - 8 for n.
4
Let f be 25/100 - (21/4)/(-3). Solve 5*p + 3*u = 2*p - 15, 3*p - f*u = 0 for p.
-2
Let d be ((-3)/2)/((-3)/4). Suppose u - 2*i - 7 = 0, -9 = -5*u + i - 4*i. Solve -2*r + 16 = 5*b, r + d + 1 = u*b for b.
2
Suppose f + 1 = -4*j + 52, -2*j = -3*f - 15. Suppose 3*l - j = -l. Solve 0 = h - 4*o + 16, -3*h - 4*o - 9 = -l*o for h.
-4
Let f be -1 - 2 - -3 - -2. Suppose -4*s + 49 - 9 = 0. Solve 3*h - f*h - c = 4, 3*h - 2*c = s for h.
2
Suppose 3*m + 4 = 5*r, -m + 7*r + 12 = 8*r. Solve 0*p - 5*p + m = 4*o, 0 = -p - 2*o - 1 for p.
3
Let v be -194*((-2)/4)/1. Suppose 3*k = 4*c - v, -2*k - 123 = -0*c - 5*c. Solve -r = -h + 6*h + c, -h - 5 = r for r.
0
Let j(q) = 15*q + 1. Let m be j(1). Suppose 3*l - m + 4 = 0. Suppose -5*w = -4*w - 10. Solve -r - x = l, 3*r = -4*x - 6 - w for r.
0
Suppose 3*g + 1 = 7. Suppose g*f = 3*f - 5. Solve -3*y - y = 5*b - 40, 0 = -3*b + f*y - 13 for b.
4
Let i be 9 + -12 + (0 - -15). Solve i = 2*g + 4*n, -2*g + 0*n + 5*n = 15 for g.
0
Suppose -3*m = -m + 2*u - 14, 0 = 5*u. Suppose -m = -2*s - 3. Solve 6 - 21 = -5*g + s*t, -2*g - 2*t + 6 = 0 for g.
3
Let c(j) = -j. Let o be c(3). Let p = -3 - o. Solve 0 = 5*a + 15, 4*y + 5*a + 4 - 1 = p for y.
3
Let c be 1/2 - 5/(-10). Let q be (c - 1)*1/2. Solve -2*a = -4*p, q = -4*a - 2*p - 8 - 2 for a.
-2
Suppose 5*c - 3 = 7. Suppose -2*a - 2 = -2*y + c, a - 2 = 0. Solve 2*b + 13 = u, 8 = -y*u - 5*b - 5 for u.
3
Let q = 13 + -11. Solve 2*b = 3*y - b - 21, q*y - 2 = -2*b for y.
4
Let o(n) = n**2 + n + 1. Let f be o(0). Suppose 3*k + 0*k - 35 = -5*j, -4*j = -3*k - f. Solve -j*i = -4*m - 12, 0 = -3*i + 4 - 1 for m.
-2
Suppose -3*b - 2*c + 20 = -0*b, -3*c + 24 = 3*b. Solve v + 3*l = -v - 3, b*v = -2*l + 6 for v.
3
Let q(f) = -3*f + 15. Let w be q(1). Solve -5*s = -4*d - 27, -4*d + 2*s = 30 - w for d.
-3
Let y be (-15)/25 - 96/(-10). Let c(f) = f**3 - 10*f**2 + 8*f + 13. Let q be c(y). Let v be (q/(-5))/(6/(-15)). Solve 16 = 4*u, -9 = 3*o - v*o - u for o.
-5
Suppose -2*w - d + 14 = -6*d, 2*w - 3*d - 10 = 0. Suppose w - 9 = -c. Solve 2*r = y - c, -5*y + 0*r = -3*r - 28 for y.
5
Suppose -2*r + 10 = -0*r. Solve -14 = v + r*y, -4*y = -0*y + 12 for v.
1
Let f be -2*(1 + (-10)/4). Suppose -n + 8 = 3*n - g, f*g + 17 = 5*n. Solve 5*y + 4*u = -n, 3*u - 4*u - 4 = 5*y for y.
-1
Let a = -13 + 11. Let y be (-3)/(4 - 1)*a. Solve 4*f + y*t + 0 = 2, 2*f = 4*t - 4 for f.
0
Let j = 11 + -7. Solve -5*h = -a + j + 4, 0 = 3*a + h - 8 for a.
3
Suppose 16 = -5*s + 3*s. Let m be -1 - s - -1*3. Solve -5*n - 5 = 3*d - 3*n, -5*d - 3*n - m = 0 for d.
-5
Suppose 4*g + 5*n + 11 = 6*g, -4*g = -4*n - 16. Suppose g*v - 10 = v. Solve -i - 2 = v*d - 0, 2*d + 8 = -4*i for i.
-2
Suppose 3*z - 24 = z. Let b(m) = -m**3 + 4*m**2 + 3*m - 2. Let i be b(3). Solve -5*u - z = -3*l, 2*l + 2*l = u + i for l.
4
Let l(r) = -r**2 + 5*r - 4. Suppose -v + 5*o = 2*o - 31, v = -4*o + 10. Let y be (-8)/12 + v/6. Let f be l(y). Solve 5*j + 10 = 2*u + 3*u, 3*j + 2 = f*u for j.
2
Let v be 5*(-2 - -1)/(-1). Let k = -16 - -48. Suppose 4*y - l - 11 - 7 = 0, -3*y + 4*l + 7 = 0. Solve -3*s - v*z = 5 - k, -3*z = -s - y for s.
4
Let l(y) = y**2 + 2*y. Let a be l(-1). Let w(m) = m + 1. Let q be w(a). Suppose q + 6 = 3*f. Solve 15 = 3*r - 0*r + 2*s, f*s - 6 = 0 for r.
3
Suppose 2*r - 2 = 2*v, -2*r = -3*v + 3*r - 5. Solve 7 | {
"pile_set_name": "DM Mathematics"
} |
: 3, g: 1, m: 3}. Give prob of picking 1 m and 1 g.
3/91
Four letters picked without replacement from {k: 6, c: 4}. What is prob of picking 2 k and 2 c?
3/7
Calculate prob of picking 1 a and 1 r when two letters picked without replacement from {r: 1, f: 1, a: 1}.
1/3
Calculate prob of picking 3 n and 1 z when four letters picked without replacement from {z: 5, n: 15}.
455/969
What is prob of picking 1 p and 1 k when two letters picked without replacement from pjqpkqkppqqqpppqqp?
16/153
Three letters picked without replacement from vrrtstr. Give prob of picking 2 r and 1 s.
3/35
Three letters picked without replacement from bbvvvsbmvvmbbmbb. Give prob of picking 1 b, 1 s, and 1 m.
3/80
Four letters picked without replacement from {t: 9, r: 7}. Give prob of picking 4 t.
9/130
What is prob of picking 4 y when four letters picked without replacement from yyyyyyyyqyyyyyyyyqy?
35/57
Three letters picked without replacement from vddddvvddvdvdd. What is prob of picking 1 v and 2 d?
45/91
Four letters picked without replacement from {t: 2, h: 1, z: 3, p: 1, l: 4}. What is prob of picking 3 l and 1 z?
2/55
Four letters picked without replacement from abccbbcbcxsec. What is prob of picking 1 b, 1 s, and 2 c?
8/143
What is prob of picking 1 k and 1 s when two letters picked without replacement from kbkbfkkks?
5/36
Calculate prob of picking 2 t when two letters picked without replacement from bbbbtbbtbtb.
3/55
Three letters picked without replacement from {x: 1, q: 1, r: 1, e: 1, g: 1}. What is prob of picking 1 g, 1 x, and 1 q?
1/10
Two letters picked without replacement from rrrfffq. Give prob of picking 1 r and 1 q.
1/7
Two letters picked without replacement from {m: 1, q: 1, a: 2, g: 2, x: 1, r: 2}. What is prob of picking 1 x and 1 q?
1/36
What is prob of picking 1 o and 3 f when four letters picked without replacement from {i: 1, f: 4, o: 5}?
2/21
Three letters picked without replacement from {r: 11, u: 1, g: 3}. What is prob of picking 2 g and 1 r?
33/455
What is prob of picking 2 t and 2 e when four letters picked without replacement from eteetetteetett?
63/143
Three letters picked without replacement from xbbxxxxxbbx. What is prob of picking 3 b?
4/165
What is prob of picking 2 d and 1 p when three letters picked without replacement from pddddddppppddd?
45/91
Four letters picked without replacement from tlslglluuylytuull. Give prob of picking 1 s and 3 u.
1/595
Four letters picked without replacement from wqiiqxqxiq. What is prob of picking 1 w and 3 i?
1/210
What is prob of picking 1 p and 1 z when two letters picked without replacement from {p: 3, x: 5, o: 3, i: 1, z: 3}?
3/35
What is prob of picking 1 l and 1 w when two letters picked without replacement from {l: 1, w: 3, h: 2, m: 10, f: 3}?
1/57
What is prob of picking 2 r when two letters picked without replacement from rhrrrrhr?
15/28
What is prob of picking 2 p when two letters picked without replacement from pupp?
1/2
What is prob of picking 3 a and 1 b when four letters picked without replacement from jabbjbabbbbaab?
32/1001
What is prob of picking 2 i when two letters picked without replacement from eieiiiiieiii?
6/11
Two letters picked without replacement from ulluu. Give prob of picking 2 l.
1/10
Calculate prob of picking 1 l and 3 f when four letters picked without replacement from feeyeeffeefyylwwy.
1/595
Two letters picked without replacement from {c: 3, m: 1, p: 1, e: 3, i: 3, o: 2}. Give prob of picking 1 c and 1 i.
3/26
Four letters picked without replacement from bhbbbhhhhhabbbbhbha. Give prob of picking 1 a and 3 h.
28/969
Three letters picked without replacement from {m: 5, x: 1, b: 2, z: 2, j: 2, e: 5}. Give prob of picking 1 j, 1 z, and 1 b.
1/85
Four letters picked without replacement from mzkmmoymk. What is prob of picking 1 y, 1 z, and 2 k?
1/126
What is prob of picking 1 h, 1 f, and 1 v when three letters picked without replacement from jyfohfohhfvyhyj?
12/455
Three letters picked without replacement from {z: 14, l: 5}. What is prob of picking 2 z and 1 l?
455/969
Calculate prob of picking 1 y and 3 q when four letters picked without replacement from qxeqqqeyq.
5/63
Three letters picked without replacement from {t: 1, e: 3, u: 3, r: 5, d: 4, s: 1}. Give prob of picking 2 d and 1 e.
9/340
Two letters picked without replacement from kkkkkkaaaaaaakkk. What is prob of picking 2 a?
7/40
What is prob of picking 1 c and 1 d when two letters picked without replacement from {d: 2, c: 6}?
3/7
What is prob of picking 2 a when two letters picked without replacement from annaana?
2/7
What is prob of picking 1 z and 1 a when two letters picked without replacement from agwgagsabaaaz?
1/13
Two letters picked without replacement from {f: 5, a: 9}. Give prob of picking 2 f.
10/91
Calculate prob of picking 1 h, 1 l, and 2 n when four letters picked without replacement from {n: 2, u: 4, h: 1, l: 4}.
2/165
Calculate prob of picking 1 u and 1 t when two letters picked without replacement from {u: 2, t: 7}.
7/18
What is prob of picking 1 r and 1 x when two letters picked without replacement from birutxbri?
1/18
Calculate prob of picking 1 i, 1 w, and 1 k when three letters picked without replacement from {k: 4, w: 1, i: 1, v: 2}.
1/14
Four letters picked without replacement from {c: 7, h: 4, b: 5, f: 1, j: 1, k: 2}. Give prob of picking 1 k, 1 h, 1 b, and 1 f.
8/969
What is prob of picking 1 n and 1 t when two letters picked without replacement from ttttntwtnntnttqtttw?
16/57
Calculate prob of picking 3 k when three letters picked without replacement from {s: 3, k: 5, h: 1}.
5/42
Calculate prob of picking 1 l, 1 o, and 1 z when three letters picked without replacement from zzxzexlczeoez.
5/286
Four letters picked without replacement from {d: 3, p: 17}. Give prob of picking 4 p.
28/57
What is prob of picking 3 q and 1 u when four letters picked without replacement from ddqddqdduuddqdqd?
2/455
Two letters picked without replacement from {y: 1, a: 1, r: 9, f: 6}. Give prob of picking 1 r and 1 a.
9/136
What is prob of picking 1 t and 1 h when two letters picked without replacement from {o: 7, k: 5, t: 3, h: 1}?
1/40
Four letters picked without replacement from ttxtxx. Give prob of picking 1 t and 3 x.
1/5
Four letters picked without replacement from ddddpddpdd. Give prob of picking 3 d and 1 p.
8/15
Four letters picked without replacement from hfhhfbrbhbbfhbh. What is prob of picking 1 b and 3 h?
20/273
Three letters picked without replacement from zzcdcdczozcccozwwzcz. What is prob of picking 1 o, 1 c, and 1 d?
7/285
What is prob of picking 4 t when four letters picked without replacement from ttscsctts?
1/126
Two letters picked without replacement from blvclboclbbbe. What is prob of picking 1 l and 1 o?
1/26
Two letters picked without replacement from dvysdsdndynnndsynd. What is prob of picking 2 s?
1/51
Two letters picked without replacement from ssyosysy. What is prob of picking 2 y?
3/28
Calculate prob of picking 1 m and 2 j when three letters picked without replacement from {s: 5, m: 1, j: 3, y: 6, l: 4, k: 1}.
1/380
Two letters picked without replacement from vuxuxuvvvuuxu. What is prob of picking 1 x and 1 u?
3/13
Two letters picked without replacement from kxzhkgxhkk. Give prob of picking 1 h and 1 k.
8/45
Three letters picked without replacement from {l: 4, s: 10}. Give prob of picking 1 l and 2 s.
45/91
Four letters picked without replacement from {y: 1, c: 7, k: 2, f: 1, i: 2, r: 1}. What is prob of picking 2 y, 1 f, and 1 i?
0
Two letters picked without replacement from {g: 4, s: 6, a: 1, p: 2, m: 2, o: 4}. Give prob of picking 2 m.
1/171
Calculate prob of picking 1 z and 2 a when three letters picked without replacement from azzzazz.
1/7
What is prob of picking 2 a when two letters picked without replacement from qmuccqaauuqaucu?
1/35
What is prob of picking 1 h, 1 s, and 1 u when three letters picked without replacement from euhkshtt?
1/28
Two letters picked without replacement from {s: 1, z: 1, f: 1, b: 2}. Give prob of picking 1 f and 1 s.
1/10
Calculate prob of picking 3 e when three letters picked without replacement from {e: 3}.
1
Calculate prob of picking 1 l, 1 s, and 2 y when four letters picked without replacement from yslllllllllyssl.
2/91
Two letters picked without | {
"pile_set_name": "DM Mathematics"
} |
(b) -2/5 (c) 3 (d) 46/27
c
Which is the third biggest value? (a) 4252 (b) 25 (c) 2/15 (d) -0.09 (e) -2
c
Which is the fourth biggest value? (a) 0.17 (b) 0 (c) -4 (d) 5 (e) -2/1833 (f) -0.4 (g) -3/4
e
Which is the second biggest value? (a) -119025 (b) -5 (c) 47
b
Which is the smallest value? (a) 9.73 (b) -5513 (c) 2
b
What is the second smallest value in -3/8, -0.02, -4, 7.3, 4/29, -4/7?
-4/7
What is the fourth smallest value in 0.5, 2/11, 1, -2.1, -263, 15?
0.5
Which is the fifth biggest value? (a) 4 (b) -0.25 (c) -20 (d) 3/185 (e) -1 (f) -2
f
Which is the smallest value? (a) -8 (b) 364 (c) -114 (d) 13 (e) 0.3 (f) 1/3
c
Which is the fourth biggest value? (a) 24.3 (b) 192 (c) 5 (d) 26
c
What is the second smallest value in -2/3, -3, 0, -8/22021?
-2/3
Which is the second smallest value? (a) -6.66812 (b) -4 (c) 11
b
Which is the sixth biggest value? (a) -1 (b) -114954 (c) -0.2 (d) -3/7 (e) -0.1 (f) -5
b
What is the fifth biggest value in 1524, 5, -8, -2, 3, 0.1, -1/4?
-1/4
Which is the fifth smallest value? (a) 1 (b) 3/11 (c) 1/443 (d) -5 (e) -1.04 (f) -0.5
b
What is the smallest value in -0.4, 72281, 3/8, -0.5, -2, -13/6, -3?
-3
What is the third smallest value in -4, -0.3, -0.2, -14, -2, 1.01?
-2
Which is the smallest value? (a) 2 (b) 1/5 (c) -2 (d) -80/9 (e) -63 (f) 0 (g) -4
e
What is the smallest value in -3, -334202, -15, -1/5?
-334202
Which is the seventh smallest value? (a) 3 (b) -2/43 (c) 3/4 (d) -15/79 (e) 2/3 (f) -0.1 (g) 25
g
What is the fifth smallest value in 11, 0.5, 1/7, 1209, -1/8?
1209
What is the smallest value in 3/47, 8, 0, -1/9, -2/111?
-1/9
What is the second biggest value in 1/48, 0.1386, -1.6?
1/48
What is the second smallest value in 3, -6978, 141, 1/6?
1/6
What is the third biggest value in -0.19, -2/7, 121/3, 81?
-0.19
Which is the smallest value? (a) 154 (b) 2159 (c) 11 (d) 0
d
What is the smallest value in -5492, 3995, -5?
-5492
What is the sixth smallest value in 2, -5, 4, 44, 2/9, -788?
44
What is the third smallest value in 131884, -1/31, -0.22, -3, 5?
-1/31
Which is the sixth biggest value? (a) -767 (b) 0.5 (c) 1/5 (d) 96 (e) 0 (f) 2/7 (g) 4
e
What is the third biggest value in -0.04, -7389, -38, 0.1, 0.01, -1/4?
-0.04
What is the third biggest value in -2/11, -2/9637, -5, 69/29?
-2/11
What is the third smallest value in -152, -0.77, 4171?
4171
Which is the fourth biggest value? (a) 2 (b) -11227/6 (c) 3 (d) -3 (e) 0.2
d
What is the biggest value in -11/2, 0.3, -2/5, -56, 43, -1/5?
43
Which is the second biggest value? (a) 0.5 (b) -11 (c) 294075 (d) 2/9
a
Which is the biggest value? (a) -2/13 (b) -5/7 (c) -2/81243565
c
Which is the fifth biggest value? (a) 36 (b) -2 (c) 2/5 (d) 1/4 (e) 2.7 (f) -4.9 (g) 1
d
Which is the fourth biggest value? (a) 6.312 (b) 14/39 (c) 5 (d) -2/7
d
Which is the smallest value? (a) 1 (b) -5 (c) -36 (d) -0.3 (e) 0.1525 (f) -27 (g) 3
c
Which is the second smallest value? (a) -3/8 (b) 2/21 (c) 0.2 (d) 500
b
Which is the fifth smallest value? (a) 0.2 (b) -2 (c) 19 (d) 4 (e) -0.3 (f) -0.5 (g) 6/25
g
What is the third biggest value in 2/5, 1682232, 5, -2/11?
2/5
What is the third smallest value in 38, 606.364, 1/2?
606.364
Which is the second smallest value? (a) 2/5 (b) 4607/1584 (c) 2
c
Which is the second biggest value? (a) 1/2 (b) -3 (c) 103 (d) 0 (e) -12 (f) 3/7 (g) 478
c
What is the sixth biggest value in 0.047, -1/12, -2/11, -9, 0.15, -4, 0.2?
-4
What is the second biggest value in -2, -0.113689, 45, 4?
4
What is the third biggest value in 293, 0.08, -0.2, -528, 2, 1?
1
What is the third biggest value in 3/4, 4943940, -0.1?
-0.1
Which is the biggest value? (a) -1 (b) 0.01419 (c) -6 (d) 7 (e) -3
d
What is the second smallest value in -7/15, -23, -6827?
-23
Which is the third smallest value? (a) 1/3 (b) 1.1 (c) -1/8 (d) -2 (e) 44 (f) -1/2 (g) -19/5
f
Which is the third biggest value? (a) -2/17 (b) -1/4 (c) 44 (d) 24441 (e) 3/7
e
What is the fourth biggest value in -2, -541, 44, 4, 55?
-2
Which is the biggest value? (a) 1/5 (b) -20 (c) -8163 (d) 1/10 (e) 5
e
What is the third smallest value in 1853, 11, -7/110?
1853
Which is the biggest value? (a) -814/13 (b) 2/13 (c) 609/23
c
Which is the biggest value? (a) 0.06 (b) -8436 (c) 0.2 (d) 1 (e) -2
d
Which is the smallest value? (a) 19 (b) -0.12 (c) 0 (d) 5 (e) 0.6 (f) 11/5 (g) 0.4
b
Which is the biggest value? (a) -1/6 (b) 191 (c) -18435
b
Which is the biggest value? (a) 368 (b) 85253 (c) -0.3
b
Which is the fifth smallest value? (a) 0.907 (b) 0 (c) -1/2 (d) 4 (e) -0.03 (f) -2/5
a
What is the biggest value in 3084, 1, -1/2808?
3084
Which is the smallest value? (a) 5 (b) 473 (c) -3.4 (d) 3 (e) -0.01
c
What is the fifth smallest value in -0.06, -30, -11165, 2, -2?
2
Which is the fifth smallest value? (a) 1/5 (b) 5 (c) 0.1 (d) 3/16 (e) -0.2 (f) 5/6 (g) 0.14
a
What is the biggest value in 0.21, -3/4, 26/11, 0.003, -0.1, -59, -1/7?
26/11
Which is the smallest value? (a) 3/5 (b) -202/87 (c) 17/43
b
Which is the seventh smallest value? (a) -0.01 (b) -0.4 (c) 0.04 (d) 553 (e) 1/9 (f) 5 (g) -5
d
Which is the second smallest value? (a) -0.129 (b) -9 (c) -4 (d) -44.4
b
What is the third biggest value in -755, -0.02, 2659?
-755
What is the smallest value in 0, -1, 0.072, 13, -0.3, 0.6?
-1
What is the third biggest value in 4, -5, -9560.1?
-9560.1
Which is the sixth smallest value? (a) 0.39 (b) 3/4 (c) 1 (d) -3 (e) -6940 (f) -5 (g) 2/3
b
What is the fourth biggest value in -4, -5, 0.3, 0, 2/3, -0.2, 0.032618?
0
What is the third smallest value in 1218, -483, 28?
1218
Which is the third biggest value? (a) 2 (b) 0 (c) -13761 (d) 14 (e) 3
a
What is the second smallest value in -1/3, -0.4, -0.3, -2/13, 4/5, -4, 1?
-0.4
What is the fifth smallest value in 0, 0.1, 1298, -4, 0.5, 8789, 4?
4
What is the second biggest value in 2/13, 10/9, -8175608?
2/13
What is the fifth biggest value in -0.034, -2, 0.4, 2, -0.4, -597?
-2
What is the smallest value in 15/1034, 7, -1?
-1
What is the second smallest value in -3, -4, 3/5, -70, 303.74, 2/15, 1?
-4
Which is the fourth smallest value? (a) 27 (b) -6/17 (c) 2/11 (d) -0.0617
a
What is the smallest value in -707, 2/13, 4/717?
-707
Which is the fourth biggest value? (a) -0.4 (b) -3 (c) 16 (d) 2 (e) 448 (f) 0.34
f
What is the biggest value in 10, 5/33, 5/4, -2, 2/9, 73?
73
What is the fifth smallest value in 2, -1/9, -24.88, 4, -1/8, 2/13?
2
What is the third smallest value in -1, 277/3, -101, 3, 4.1, 1/2, 2?
1/2
Which is the smallest value? (a) -7 (b) 0 (c) -1563815
c
Which is the third biggest value? (a) 4 (b) 0.1 (c) 0.4 (d) 57 (e) 3 (f) -147 (g) -2
e
Which is the third smallest value? (a) -4 (b) -0.4 (c) 4 (d) 3/2 (e) -359 (f) -0.2 (g) 1/5
b
Which is the third smallest value? (a) -36/29 (b) -3/8 (c) -124 (d) 1/5
b
What is the third smallest value in -5, 0.2, -0.31, -11985, -6?
-5
What is the smallest value in 3, -78, 10, -2/15, -40, 9/2?
-78
Which is the second biggest value? (a) -0.07 (b) 3/2 (c) 185 (d) -1/35 (e) -1
b
What is the second smallest value in -5, 0.1, -6050/21, -0.1, -8?
-8
Which is the fourth biggest value? (a) -2/11 (b) -6 (c) 4 (d) -562 (e) -3/7 (f) -0.5
f
What is the third biggest value in 3/14, 442, -1252?
-1252
Which is the biggest value? (a) 1.2 (b) 10 (c) 1/2 (d) -0.1032
b
Which is the fifth smallest value? (a) 0.33 (b) -2/15 (c) 1 (d) 18 (e) -1 (f) -9/2
c
Which is the sixth smallest value? (a) 1 (b) -3 (c) 4/7 (d) -9 (e) 7 (f) 0.1
e
Which is the second biggest value? (a) 2/5 (b) 1/47301 (c) -96
b
Which is the fifth smallest value? (a) -2556/23 (b) 1/7 (c) 2/3 (d) -1 (e) 8
e
Which is the third smallest value? (a) -795/1138 (b) 7 (c) -7
b
What is the fourth biggest value in -1/6, -2/19, 4/5, -38887, 5, 1/3, 4?
1/3
What is the fourth biggest value in 4/7, -40/9, 4, 1, -1, -36?
-1
Which is the biggest value? (a) 7 (b) -4 (c) -3/7 (d) 0.05 (e) -200 (f) -2/3 (g) -3
a
Which is the second smallest value? (a) 1.7 (b) -60 (c) -5 (d) -0.13 (e) -0.4 (f) 0.3
c
What is the seventh smallest value in -5, -13, 0.3, -1/3, | {
"pile_set_name": "DM Mathematics"
} |
v? (a) 0.3 (b) z (c) -0.3
a
Let u = -445 + 443. Which is the nearest to 2? (a) u (b) 0.5 (c) 4/9
b
Let v be (-8)/7 + (2 - 1). Let p(r) = -37*r + 294. Let f be p(8). Let b = 0.93 - 0.43. What is the nearest to f in b, v, 5/4?
v
Let w(z) = 3*z - 17. Let p be w(3). Which is the nearest to -0.1? (a) 4/7 (b) p (c) -0.4
c
Let h = 6340 + -6343. Let w = 12 + -6. What is the nearest to w in 2/7, 0.1, h?
2/7
Let y = 1.47 - -0.13. Let a = y + -1.5. Let b = -3/103 + 227/721. What is the nearest to b in a, 0, 2?
a
Let w = 0.07 + -0.01. Let p = -0.06 + w. Let j = 87 - 92. What is the closest to p in 4, j, -3?
-3
Let n = -59/4 - -539/36. What is the closest to n in 1/8, -0.3, 0, -3?
1/8
Let r = 372/2167 + 2/197. Let p = -12 - -17. Which is the closest to 1? (a) p (b) 2/3 (c) r
b
Let o = 50 + -14. Let m = o - 30. What is the nearest to m in 5, 4/7, 2?
5
Let n = -2676.5 - -2677. What is the nearest to n in 0, -0.1, -0.92?
0
Let z = -3.7 - 1.3. Let w = 4.5 + -3. Let f = 1.1 - w. What is the closest to 3/8 in -0.3, z, f?
-0.3
Let s(x) = -5*x + 5. Let u be s(5). Let w be 2/4*(-16)/u. Let g = 1031/3 - 344. Which is the closest to w? (a) -3/8 (b) 2 (c) g
c
Suppose 2*l + 4*r = -0*r, 0 = -l + 3*r. Let x be (4 - 3 - l)/(-10). What is the closest to -2/7 in -0.4, x, 0.1?
-0.4
Let f = 13 - 13.1. Let t = -3.7 - -3.4. Let i = t + f. What is the closest to 1 in -4, i, 2/21?
2/21
Let m(v) = -2*v**2 + 4*v - 3. Let n be m(2). Let g = 31 - 21. Let f = g + -14. Which is the nearest to 0? (a) 1 (b) f (c) n
a
Let v = 551/4 - 137. Which is the closest to 3? (a) -3/4 (b) v (c) -0.4
b
Let t = 27 - 32. Let u = -90 + 88. What is the nearest to 1/3 in 7/6, u, t?
7/6
Let k = 1.6 + -2. Let h = 14 - 14.6. Let f = k + h. Which is the closest to 1/3? (a) -4 (b) 0 (c) f
b
Let p(v) = v**2 + 20*v + 86. Let l be p(-13). What is the nearest to 1/4 in -0.5, 3, l, -3?
-0.5
Let l = -6.51 - -6.21. Let v = 27/62 - -2/31. Which is the nearest to v? (a) -0.5 (b) l (c) -0.1
c
Let k = 0 + 0.1. Let q = k + 0.4. Let v = 49 + -48.9. Which is the nearest to v? (a) q (b) -0.2 (c) 4
b
Let w = 31.9 + -32. Let q = 0.02 + 0.98. Which is the nearest to w? (a) 0.2 (b) q (c) 4/11
a
Let g = 1 + 15. Let x be (-2)/(-2 + g/10). Suppose -1 = 6*z - x*z. What is the nearest to z in -1, -1/2, 2/7?
-1
Let p = 0.002 - -2.898. Let x = -3 + p. Which is the closest to 0.1? (a) 0.2 (b) 9 (c) x
a
Let p = -47.7 + 40.7. What is the closest to 0 in 0, p, -0.5?
0
Let r be (0 - -2)/(2*(0 + -1)). What is the closest to 9 in 1/3, -2, r?
1/3
Let x be ((-39)/26)/((-3)/14). Let p be 30/x + 17 + -21. Let y = -2 - -6. Which is the nearest to -0.1? (a) -4 (b) p (c) y
b
Let h = 463529/1544 - -159/386. Let q = h - 301. What is the nearest to -1 in q, 0.1, -0.3?
q
Let m = 0.74 + 0.26. Which is the closest to -0.1? (a) -2/7 (b) 1/6 (c) m
a
Let p = 227.8 + -227. Which is the nearest to p? (a) -0.4 (b) 4 (c) -1/4
c
Let y = 8.5 + -7.5. Let q = 0 - 2. Let m = 22/217 - 12/31. What is the closest to y in -3, m, q?
m
Let r = 0.34 - 0.78. Let a = 0.56 - r. Let q = -7 + 2. What is the nearest to a in q, 4/3, 3/8?
4/3
Let l = 557 - 12809/23. Which is the nearest to 12? (a) 0.2 (b) 4/3 (c) l
b
Let g = 406 - 407. What is the nearest to g in 3/7, -0.1, 3?
-0.1
Let j = 0.041 + -0.117. Let g = j - -0.076. What is the closest to g in -0.4, -2/13, 3?
-2/13
Let s = 0.18 - 15.18. Let x = 16.757 + 0.243. Let f = s + x. Which is the closest to -0.01? (a) 2/7 (b) -4 (c) f
a
Let i = 1.5 - 10.5. Let w = i + 8.9. Suppose 0 = x + 4*g - 19, -5*g + 0*g + 25 = 0. Which is the nearest to x? (a) 4 (b) w (c) -2
b
Let i = 1411 - 1411.13. What is the nearest to -1 in 0, -0.1, i, 5?
i
Let x be (-8)/16*(0 + -2). Let u = 25 + -28. Let a be (u/(-66))/(2/8). What is the nearest to x in 0.3, a, -3/2?
0.3
Suppose 4*w = 5*y - 18, -3*y - 4*w - 10 = -4*y. Let o be (6/y)/(3/(-4)). Let m = -10/3 - o. Which is the nearest to m? (a) -2 (b) -3 (c) 0.5
c
Let b = -1/25 - 19/150. Let n = 1 - 3/5. Let i = 31 + -26. What is the closest to -1/2 in n, b, i?
b
Let f be (-84)/(-22) + 12 + -16. Let s = 0.001 - -9.799. Let i = s + -10. What is the closest to 0 in i, f, 4?
f
Let x = -4.88 - 0.12. Let r = -1.3552 - -0.4552. What is the closest to -1/2 in 3, x, r?
r
Let y = 61/3 + -296/15. What is the nearest to -2 in y, 1/3, 4/3?
1/3
Let m be 10/(-6) + 1 + 0. Suppose 24 + 28 = 8*k + 20. What is the nearest to m in 1, k, -3?
1
Let t = 0.09 + -3.09. Let x = -1451 + 76905/53. Let q = -59/159 + x. What is the closest to -3 in q, -0.4, t?
t
Let s = 35 - 71. Let z = s - -36.1. What is the closest to z in -3/7, 4/5, 5/4?
-3/7
Let p = 1768/5 + -354. What is the closest to 1/4 in 5, p, 2?
p
Let l be (55 + -54)/(1/3 - 0). Which is the nearest to -1? (a) 23/4 (b) l (c) 0.4
c
Let t = -1688 - -1685. Which is the closest to 2/7? (a) 4/27 (b) -1/3 (c) t (d) 2/5
d
Let u be (-1197)/588 + (-7)/(-4). Let j = -0.06 + -3.94. Which is the nearest to -1? (a) -3/5 (b) u (c) j
a
Let r = -9 + 8. Let l be (-12)/(-4) - 404/174. Let s = l + -1/87. Which is the nearest to r? (a) -3 (b) s (c) 2/9
c
Let y = 0 + -2. Let v be (2/4)/(y/4). Let u(i) = -i**3 - 5*i**2 + 6*i + 4. Let k be u(-6). What is the closest to v in -5, k, -2/13?
-2/13
Let p = -211 - -211.3. Let q = 0.2 - 2.2. Which is the closest to q? (a) p (b) 2 (c) 0
c
Let z = -0.9 + -9.1. Let r = -10.17 - z. Let p = 1.83 - r. Which is the nearest to -1? (a) -2/13 (b) 0.4 (c) p
a
Let k be (-2 + (0 - -1))*-1. Let l = -0.36 + 0.86. Let i(m) = 4*m + 6. Let d be i(-2). Which is the nearest to -1? (a) k (b) l (c) d
c
Suppose -h - 82 = -80. Which is the nearest to 2/7? (a) 4 (b) -3 (c) h
c
Let h = 550 + -546. What is the nearest to -0.3 in -1, h, 0?
0
Suppose 4*z + 3*v - 57 - 90 = 0, 114 = 3*z + 3*v. Which is the closest to z? (a) -3 (b) 4/7 (c) -0.1 (d) 3/2
d
Let p = 0.3438 + -0.2438. Which is the closest to -1/5? (a) 17.4 (b) p (c) 5
b
Let c = -582 + 586. Let k be 2 + -3 + -2 + 12. What is the nearest to 0 in c, -1, k?
-1
Let m be (-8)/100*5/4. Let o = -6 + 1. Let y = -16 - -7. Which is the nearest to y? (a) m (b) o (c) 0
b
Let w = 1/78 - -17/26. Which is the closest to w? (a) -0.5 (b) -4 (c) -3 (d) 1
d
Let l = -84 - -85. Let i = -5 - -5. Which is the nearest to -0.07? (a) l (b) 5 (c) i
c
Let t = -7759/7 - -1111. Let h = t + -3. What is the nearest to h in -4, -1, 0.2?
-1
Let h = 1420 - 12784/9. Let c = -14 + 6. What is the closest to 0 in h, c, -1?
h
Let q = 754 + -758. Let h(w) = -w**3 + w**2 - 2*w + 1. Let m be h(1). Which is the closest to m? (a) q (b) 1 (c) 17
b
Let f = 2 + -5. Let d = 1 + f. Let y be (-8)/12*36/16. Which is the closest to -1/3? (a) 3 (b) d (c) y
c
Let i = 642.1 + -642. Which is the nearest to -0.13? (a) -3/2 (b) 4 (c) i (d) -2/3
c
Let g = -5.57 - 0.43. Let a = -6.5 - g. What is the closest to 0 in a, 3/5, -3/2?
a
Let x = -658/5 - -132. Let f = 13.5 + -13. Let p = f + -0.4. Which is the closest to p? (a) 2/9 (b) 2 (c) x
a
Let f = -3 - -2.5. Let m = 2565.7 + -2566. What is the nearest to 1 in 0.2, m, f?
0.2
Let b = -724/9 + 3647/45. What is the nearest to 0.4 in 1/14, -1/2, b?
b
Let u = -20 - -20. Suppose 5*m = -h - 5, -2*m = -2*h + 6*h + 2. Which is the nearest to u? (a) 2 (b) 0.5 (c) h
c
Suppose -5*m + 3*m + 28 = 5*z, 0 = -5*z + 2*m + 32. Let o be ((-6)/(z + -3))/10. Let n = 0 - 0. Which is the nearest to o? (a) n (b) 0.3 (c) 5
a
Let h be ((-3)/2)/((-15)/40). Suppose -h*b = -0*b + 268. Let w = b + 336/5. What is the nearest to 1 in w, 2/3, -0.1?
2/3
Let r = 0.43 - 0.3. Let y = r + -1.13. What is the closest to y in 3/5, 2/13, -0.4?
-0.4
Let m = 35 - 45. Let x be (-5)/25*m/3. What is the closest to x in 2/11, 3, -0.4?
2/11
Let n be (0 - -2)/((-15)/5). Let x(w) = -w + 8. Let b be x(6). Let t be (2/4)/(5/b). What is the nearest to 0.1 in -2, n, t?
t
Let g = -194 + 195.03. Let y = 0.03 - g. Which is the nearest to 3/7? (a) -0.2 (b) 1 (c) y
b
Suppose 4*i + 51 = -17. Let t = i - -17. Suppose -2*x - y = 3, t*y - y = x. Which is the closest to x? (a) -0.3 (b) 2/7 (c) -5
c
Let d = -377.1 + 427. Let n = d + -50. Which is the closest to 0? (a) -0.02 (b) n (c) 0.4
a
Let l be 2*(60/8 - 1). Suppose 0 = 3*k - 2*y + l, k + 4*y + 4 = 5*y. Let o be -5*(( | {
"pile_set_name": "DM Mathematics"
} |
is the closest to -0.1 in -10, 3, -13425?
3
Which is the nearest to -169? (a) -28 (b) 411 (c) -3
a
What is the closest to 626 in -0.1, -2, 4?
4
What is the nearest to 1 in 15.178, -4/5, -1?
-4/5
What is the nearest to 0.1 in 0, -5, 3, -24, -6/13?
0
Which is the closest to -0.1? (a) -0.119 (b) 18 (c) 2 (d) -1
a
Which is the nearest to 0? (a) -1/5 (b) 786 (c) -0.3
a
What is the closest to 0 in 1/7, -2/17, 0.4, 332?
-2/17
Which is the closest to 0? (a) -5 (b) -2.1 (c) 1.5 (d) -4/15 (e) 9
d
Which is the nearest to 30/23? (a) 4 (b) -1 (c) 51
b
What is the closest to -1/7 in 4, 248, 2?
2
What is the closest to 3 in 4/9, 9, 1/9, -0.1?
4/9
Which is the closest to -0.1? (a) 115 (b) -20 (c) -2/3 (d) 5 (e) -0.2
e
Which is the closest to 2? (a) -2/23 (b) 1/4 (c) -4 (d) -5 (e) 11
b
What is the closest to 20 in -0.1, -2/5, 1, -35/62?
1
What is the nearest to -1 in 5, 614, -3, 0.06?
0.06
What is the closest to -333.2 in -3/7, 9/4, 2/9?
-3/7
Which is the nearest to 1131? (a) -1/4 (b) 2 (c) 0.5
b
Which is the closest to 0? (a) -12 (b) -2 (c) -4/7 (d) 6/11
d
Which is the nearest to 1/2? (a) -195 (b) 1/3 (c) -2 (d) 458 (e) -0.2
b
Which is the nearest to 2? (a) 0.6 (b) 2146 (c) 3
c
What is the nearest to 36/11 in -10, 0.4, 3, 0.2, 0?
3
Which is the nearest to -0.2? (a) 6432 (b) 2.3 (c) -1/5
c
Which is the nearest to 0.2? (a) -0.3 (b) -4/5 (c) 97 (d) -1/130 (e) 2
d
Which is the closest to 2? (a) -0.5 (b) 0.3 (c) 2 (d) 0.0657
c
Which is the nearest to 1? (a) -235 (b) 1/8 (c) -1.37 (d) 3
b
Which is the closest to -36.195? (a) -5 (b) -2 (c) 0.04
a
What is the nearest to -3 in 1862, 1/6, 0.1?
0.1
Which is the nearest to 3? (a) -21/8 (b) 2/1171 (c) -3
b
Which is the closest to 1? (a) 0.5 (b) 0.28 (c) -4/51
a
Which is the closest to -1/164? (a) 0.42 (b) 1/2 (c) -2.6
a
What is the nearest to 1 in 2/155, -0.2, -170?
2/155
Which is the closest to 0? (a) -6 (b) -872 (c) -4 (d) -5
c
Which is the nearest to 4/5? (a) 5 (b) 0.05 (c) -5283
b
Which is the nearest to 1/7? (a) 0.059 (b) -2/5 (c) -2 (d) -5 (e) 0.2
e
What is the closest to -2/7 in 14/29, 7, -112, -1?
-1
What is the nearest to 0.05 in 1/5, -3, -1.1?
1/5
Which is the closest to 0.04? (a) 0.18703 (b) 1 (c) -1/4
a
Which is the nearest to -1/2? (a) -0.6 (b) 2655 (c) 4
a
Which is the nearest to -0.3? (a) 0.3 (b) -1.2 (c) -1/5 (d) 408 (e) 2
c
What is the closest to -20 in 7/2, -1.1, -3?
-3
What is the closest to 0.05 in -1/47, 0.09, -1.2?
0.09
Which is the closest to 38.3? (a) 5 (b) 0.17 (c) 1/4 (d) -0.1
a
Which is the closest to 3? (a) -3/2 (b) 3 (c) -12/11 (d) 2/13 (e) -1
b
Which is the nearest to 0? (a) 0.56 (b) -53 (c) -0.5
c
Which is the closest to -1? (a) -3/2 (b) -4.931 (c) 0.2 (d) 5 (e) 6
a
What is the nearest to -5858 in 4, -2, -2/9?
-2
What is the nearest to 2 in 3, 28/3, -47, -1/9?
3
What is the closest to 1/2 in -5, 8/5, 43, 2/3, 1.5?
2/3
Which is the nearest to 0.4? (a) 4 (b) 54 (c) 2/7 (d) 0.5 (e) 0.1
d
What is the nearest to 357 in 22, 13, -0.4?
22
What is the nearest to -0.32 in 4, 1/4, -2.7?
1/4
What is the nearest to 0.2 in -3/8, -2/9, 0.05, 5/13, 151?
0.05
Which is the nearest to 38/163? (a) 2 (b) -1 (c) 0.3
c
What is the nearest to -2/11 in 75, 23, -3.1, 1/10, -2/9?
-2/9
Which is the nearest to 2? (a) 2305 (b) -0.2 (c) 11 (d) -3/4
b
Which is the closest to 1? (a) 280 (b) -15 (c) 0.3
c
Which is the closest to 9? (a) -0.5 (b) 0 (c) 677
b
Which is the closest to 7? (a) 91 (b) 8/5 (c) -5 (d) -0.2
b
What is the closest to -1 in -172, -1, -111.5?
-1
What is the nearest to -7 in 0.1, -3, 2/9, -7/5?
-3
What is the closest to 2 in 2, 1/7, -0.06, 0.2, 4/207?
2
What is the nearest to 30 in -0.3, 10, -0.027?
10
What is the nearest to -1/5 in -4, 20, -0.3, 0.7?
-0.3
Which is the closest to 2/15? (a) -4/5 (b) -0.2 (c) 247409
b
What is the nearest to -26 in 4, -3/8, -1/3, 0.06, 54?
-3/8
Which is the nearest to -19? (a) -63 (b) -50 (c) 0
c
What is the closest to 9 in -4, 0.2, 156, 5?
5
Which is the nearest to 1? (a) 2 (b) 5/6 (c) -1.54
b
Which is the nearest to -3? (a) -2/5 (b) -1/5 (c) 1/15 (d) -30
a
What is the closest to -249 in -202, -0.05, 2, -1?
-202
Which is the nearest to 0.05? (a) -5 (b) -0.3 (c) 46644
b
Which is the closest to -1146? (a) 4 (b) 11/4 (c) 0.2 (d) 5
c
Which is the nearest to 1? (a) 2 (b) 0.2 (c) -6/17
b
Which is the nearest to -3/4? (a) 0.23 (b) -1 (c) 9
b
What is the nearest to 110 in -1, -2, -25?
-1
Which is the closest to -5? (a) 15 (b) -3/4 (c) -4 (d) -2/5 (e) -1/2
c
What is the nearest to -2/3 in 4.3, -420, -45?
4.3
Which is the nearest to 0.1? (a) -2/3 (b) 6 (c) 1.06
a
Which is the closest to -7/23? (a) -0.3 (b) -0.5 (c) -2/11 (d) 0.08 (e) -0.05
a
Which is the closest to -1? (a) 3/7 (b) -0.3 (c) -2/3857 (d) -39 (e) 3
b
What is the closest to 0 in 3, 16, 14, -1/2, 9/5?
-1/2
What is the closest to -5 in 7, 3/7, 8, 0.3, 2/7?
2/7
Which is the closest to -0.1? (a) -3 (b) -0.09 (c) 1.5 (d) -0.3
b
What is the nearest to -3 in 36/17, 0.1, -9?
0.1
Which is the closest to -2/17? (a) -2 (b) 6 (c) -2184 (d) 2
a
Which is the nearest to 1? (a) -4/11 (b) -4 (c) 26 (d) -6 (e) 1/2
e
What is the nearest to 106.12 in 0.4, 1/5, 1?
1
Which is the closest to 3? (a) 12 (b) 2/13 (c) -0.5 (d) 11 (e) 3
e
Which is the nearest to -1/4? (a) -5/3 (b) -6162 (c) 8
a
What is the nearest to -10/9 in 4/7, -1/4, -57/2?
-1/4
What is the closest to 1 in 1/2, 0.2, -2, -3/1553, -3/5?
1/2
What is the closest to -0.01 in -7, 0.015, -2/7?
0.015
What is the nearest to -1 in 2/79, -38, 5?
2/79
Which is the nearest to -215? (a) -5 (b) 1/24 (c) 1/4
a
Which is the nearest to 12? (a) 9.9 (b) -8 (c) 8/3
a
Which is the closest to -582? (a) 3 (b) 54 (c) -1/6
c
What is the closest to -2/5 in 3, -0.4, 0, -0.1, -0.001?
-0.4
Which is the nearest to 0.3? (a) -3 (b) 0.3 (c) -1.9 (d) 2/7 (e) -1/3
b
Which is the closest to 0? (a) -1 (b) 10/3 (c) -4 (d) -1/6 (e) -3036
d
What is the closest to -0.1 in 30, -4, -22, -2/7?
-2/7
Which is the closest to 0? (a) -4/9 (b) -171 (c) -1/2 (d) 1
a
Which is the nearest to 176/3? (a) 1/4 (b) 1/5 (c) -249 (d) 1/3
d
What is the closest to 3 in -2/7, 3/7, -0.484, 0.4, 26?
3/7
Which is the closest to -0.4? (a) -5 (b) 0.4 (c) 9 (d) -4 (e) 0.1
e
What is the closest to 0.1 in -1, 1566/5, 4, -15?
-1
What is the nearest to -6 in -86, 0.5, -0.2, -12?
-0.2
Which is the nearest to 242? (a) 22 (b) 2/9 (c) 5
a
Which is the closest to -0.2? (a) 2/11 (b) -2 (c) 86
a
What is the nearest to 0.1 in -1, -4, 11, -0.45?
-0.45
Which is the closest to -1/5? (a) 2/13 (b) 2/85 (c) -4 (d) -1/6
d
Which is the nearest to 1/2? (a) -196 (b) -3 (c) 1 (d) 4/5 (e) 2.34
d
Which is the nearest to -0.3? (a) 0.02 (b) -0.05 (c) -963
b
What is the nearest to -519 in -2/179, 0, 1, -2?
-2
Which is the nearest to 1? (a) -12 (b) 1904.6 (c) -4
c
What is the closest to 0 in -2, 4, 0.266692?
0.266692
Which is the closest to -0.1532? (a) -1/7 (b) -2 (c) -8.5
a
What is the nearest to -2 in -4, -1, -279/2, -0.2?
-1
What is the nearest to 316 in -1, -0.2, 0.162?
0.162
Which is the nearest to -19? (a) 2 (b) -0.04 (c) 12 (d) 5
b
Which is the nearest to 2/7? (a) 1 (b) -2 (c) -5/4 (d) -380
a
What is the nearest to -2/7 in 0.1, 1/3, -3640?
0.1
Which is the nearest to -0.06? (a) 0 (b) 0.027 (c) 4
a
What is the nearest to 17 in 375, 1, 4/7, -0.2?
1
Which is the closest to -2? (a) -1 (b) -10.07113 (c) -0.3
a
What is the closest to -88 in -0.5, -1, 0.1?
-1
Which is the nearest to 2/5? (a) -8/9 (b) 33 (c) 4 (d) 3/7
d
What is the nearest to 18 in 0.12, -1, 1, 4?
4
Which is the closest to -0.1? (a) -0.05 (b) 0 (c) -1498 (d) 0.03
a
Which is the nearest to -2/3? (a) 5/3 (b) -34984 (c) 1
c
Which is the closest to 3/4? (a) 0.18 (b) -0.2 (c) 0.1 (d) 3/4
d
Which is the nearest to 0.1? (a) 6/43 (b) 0.4 (c) -0.7
a
What is the nearest to -28/15 in -86, -2/29, -4?
-2/29
Which is the nearest to 0.04? (a) 1/2 (b) 0.057 (c) -0.5 (d) 5
b
Which is the closest to 0.39? (a) -40 (b) -13 (c) -1/4
c
Which is the closest to -3/8? (a) -2/3 (b) 0.07 (c) 5 (d) 5/2
a
What is the nearest to -10 in -1/2, -0. | {
"pile_set_name": "DM Mathematics"
} |
-27051 in 5/4, 1/10, 1/3, -4?
-4
Which is the nearest to -1/4? (a) 4635815 (b) 0.3 (c) -5
b
What is the closest to 3/7 in 6, 2/11, 865, -1?
2/11
What is the closest to -2/5 in -35/6, 6.45, -2, 0.071, 3?
0.071
What is the nearest to 8 in 2/3, -2/77, 0.1, 11.1, 5?
5
What is the closest to -1/4 in 2/3, -93/26, 0.05, -0.5, -0.0623?
-0.0623
What is the nearest to 62/17 in -4, -30, 8/17, -1/5, -3?
8/17
What is the nearest to 7.8 in 17/3, -0.07, 0.08, -2/3?
17/3
What is the nearest to -2 in -0.4, -1/17, 13, 31/7, 72, 1?
-0.4
What is the nearest to -2 in 8/5, -36/5, 4/3, -2.5?
-2.5
What is the nearest to -1206 in 1/5, -2/9, -155?
-155
What is the closest to -47 in -5, 0.021, -4, 0.3, 347, -2?
-5
What is the closest to -4.3 in 139, 4, -55, -0.07?
-0.07
Which is the closest to 1.56238? (a) 0.1 (b) -2/5 (c) -5/7
a
What is the nearest to -1/16 in 2/9, 0.3, 2, -0.004123?
-0.004123
Which is the closest to -1? (a) -3 (b) 0.6 (c) -3/3829 (d) -12/11
d
Which is the nearest to -0.1? (a) 436/5 (b) -2 (c) -1074
b
Which is the nearest to -0.2? (a) 12 (b) 0.86 (c) 20
b
What is the closest to 2 in 286/9, -0.9, -0.4, 3/7, -4?
3/7
Which is the closest to -0.04? (a) -0.1 (b) 2/7 (c) -2303.2 (d) -5 (e) 2/3
a
Which is the nearest to -1? (a) 1/49 (b) -2 (c) 0.2 (d) 1 (e) -5
b
Which is the nearest to 0.2? (a) -5 (b) 738220/19 (c) -4
c
Which is the nearest to -9/5? (a) 2 (b) -1 (c) 431 (d) 11/6
b
What is the closest to 2/11 in 1, 0.3, 1/6, 0.22, -642/13?
1/6
What is the closest to -3 in -0.5, 650/7, 1/4, -2.1, 1/6?
-2.1
What is the nearest to 0.1202 in 1/11, -0.101, -0.7?
1/11
What is the nearest to -0.2 in 4, 2/11, 2/3991, 23, -16?
2/3991
What is the nearest to 1 in -0.4, 5, -12.6548, 0.02?
0.02
Which is the nearest to 0.19? (a) -1/26 (b) 131 (c) -1 (d) 0
d
What is the nearest to -1/4 in 184181, -0.2, -2/3, 2/3, 2/13, 2/17?
-0.2
Which is the nearest to 0.03? (a) 0 (b) 4.5 (c) -4 (d) -4/9
a
What is the nearest to 4/7 in 394, 0.6, 27/4?
0.6
Which is the nearest to 1.1? (a) -2384 (b) -2/151 (c) 2
c
Which is the closest to -18/5? (a) -2 (b) 248 (c) 1 (d) -1/4 (e) -3/8
a
What is the closest to -2 in 213, -4, 2/11, -32, -0.5?
-0.5
Which is the closest to 0.2? (a) 3 (b) 1 (c) -0.02 (d) -5 (e) 307
c
What is the nearest to 0 in -1144/49, -88, -3, -0.5, 4/7, 2?
-0.5
Which is the closest to 0.1? (a) 1.07 (b) -5846 (c) 3 (d) 10 (e) 0.1
e
Which is the nearest to -1? (a) 4588 (b) 0.24 (c) 34 (d) 0 (e) 1
d
Which is the closest to -11? (a) 802/11 (b) 0.2 (c) -2 (d) -4
d
What is the nearest to -0.2 in 5, 2, 24, 1/2, -89?
1/2
What is the nearest to -0.6 in 9, 0.02, 1/5, 221, -3/4?
-3/4
What is the nearest to -50 in -3/5, 1.187, -6, 0.1?
-6
What is the nearest to -3 in -2.7, -42, 23, -149?
-2.7
Which is the nearest to 5? (a) 1/32 (b) -2 (c) 6/3389
a
What is the closest to -0.04 in -2.39, -2/3, 1/64, -0.3?
1/64
Which is the nearest to -1? (a) 19 (b) -10 (c) -0.5 (d) 0.2 (e) -487
c
What is the nearest to 51 in -2, -30.92, -2/7?
-2/7
Which is the closest to -29.78? (a) 33 (b) -48/5 (c) 0.2
b
Which is the closest to -0.02373? (a) -8/7 (b) -1 (c) 20/3 (d) -0.4
d
Which is the closest to 1933694/5? (a) 0 (b) 0.06 (c) -4
b
Which is the nearest to -64.02? (a) -3 (b) -2 (c) 3 (d) 188
a
Which is the nearest to -59? (a) 8 (b) 98 (c) -125
c
What is the nearest to -5/4 in 0.01, -2, 11, 7/4, -68.5?
-2
What is the nearest to -495 in 1, 2/7, -1369?
2/7
What is the closest to 1/2 in -1/6, -5476, 0.1, -322?
0.1
What is the closest to -1/4 in 1, -39/2, 0.2, -1, 0.784?
0.2
What is the nearest to -1/3 in -0.1, -35, -29, 79, 1?
-0.1
Which is the nearest to 9? (a) 2/15 (b) 301 (c) 115
a
Which is the nearest to 898? (a) -4 (b) -0.2 (c) 2/3 (d) 109
d
Which is the closest to 0? (a) -1.16 (b) -0.09 (c) 786
b
Which is the closest to 0? (a) -457514 (b) 0.007 (c) 2
b
Which is the nearest to 1? (a) -21 (b) -14 (c) 0.055 (d) 3
c
Which is the closest to -31? (a) 1/5 (b) 0.4 (c) -24 (d) 70 (e) -2
c
What is the nearest to 6599592 in 1/4, -4, 3?
3
Which is the nearest to -4/3? (a) 0 (b) -0.5 (c) 36 (d) 1 (e) 0.108
b
Which is the closest to 4/7? (a) 54 (b) -4 (c) 1 (d) 1.73 (e) -5
c
Which is the closest to -7644.8? (a) -0.4 (b) 5 (c) 1/17
a
What is the nearest to -3891 in 0.4, 64, -2/23, -2?
-2
What is the nearest to 13 in 110, -1, -2, 5.6?
5.6
Which is the nearest to 1? (a) -38 (b) -0.18 (c) -46133
b
What is the nearest to 1 in -3314, -2, -6?
-2
Which is the nearest to -7/19? (a) -4 (b) 11 (c) -1/2324 (d) 2
c
What is the closest to 142 in 3, 0, 10, 1/3, -4, 81?
81
Which is the closest to 3? (a) -1/6 (b) -0.07 (c) 23/10 (d) 0.08 (e) 2 (f) 2/9
c
What is the closest to 2 in -4/11, 0.17, 9, 7/4, -1/2?
7/4
What is the nearest to -2/3105 in -15, 0, -2/13, 0.2?
0
Which is the closest to -182? (a) -47 (b) 1/2 (c) 0.047
a
What is the closest to 0.3 in -0.9, 17/9, -55/4?
-0.9
What is the nearest to -32 in -2, -584, -4, -0.05?
-4
What is the closest to 3 in -3, 2/17, 20, 3, 14/37?
3
Which is the closest to 0? (a) 0.169 (b) 0.017 (c) 736/5 (d) -1/7 (e) -0.2
b
What is the closest to -1/3 in 1/3, -419/5, 105.68, 0.4?
1/3
What is the nearest to -0.1 in 0.4, -10, -1, 0.05, 844?
0.05
What is the nearest to 0 in 26, -0.4, -41, 9, 4, 0.58?
-0.4
What is the closest to -0.23627 in 1, -0.281, 4?
-0.281
What is the closest to 15 in 2958, 8, 0.06?
8
What is the nearest to 0.2226 in -0.2, 3/4, 2, -59, -2?
-0.2
What is the nearest to -89 in 1/6, 3/17, 8?
1/6
Which is the closest to 0.1? (a) -3/4 (b) -1.3 (c) 0.3 (d) 213
c
Which is the nearest to 1? (a) -4 (b) -1367 (c) 514
a
Which is the nearest to 90405? (a) 1/6 (b) 4 (c) -4 (d) 5 (e) -0.05 (f) -3
d
What is the closest to -0.1 in -0.4, -220/513, -1, 3/8, 1/3?
-0.4
What is the nearest to -0.1 in -3, -556440, -2, -0.3?
-0.3
What is the closest to 1 in 188, -1/5048, 2/351, -1/5?
2/351
What is the nearest to -10 in -2/7, 5/24, -0.064?
-2/7
Which is the closest to 0.15? (a) 0 (b) -0.4 (c) -1.5 (d) -1/4 (e) 60/17 (f) -1/6
a
What is the nearest to -2/17 in 1/130, -4, 2/9, -0.5, 4/9, -5?
1/130
Which is the nearest to -0.2? (a) -4 (b) -210.2 (c) -2/11 (d) 1 (e) -0.5 (f) 0.18
c
What is the nearest to 0 in -1787, -2/11, -99/5, 0, 5?
0
Which is the closest to -45.2? (a) 1/6 (b) -4/9 (c) -94 (d) -5
d
Which is the nearest to 1.7? (a) -1 (b) -2/7573 (c) -4
b
What is the closest to 0.3 in 1, 4864, -5/22?
-5/22
What is the nearest to 0 in -4/10733, -3, -2/3, 2, -1/6, -5/2?
-4/10733
Which is the closest to 1/4? (a) -5531/8 (b) 82 (c) -0.1
c
Which is the closest to -732? (a) 0.12 (b) 0.3 (c) 0.245
a
What is the nearest to -6/31 in 6/1519, -1/3, -5, -9?
-1/3
Which is the nearest to 0.843? (a) 3 (b) -78/1999 (c) 0.3
c
What is the nearest to 8 in 3, -393, -26/7, -0.2, -2/3, 4?
4
What is the nearest to 2 in -0.29, -3, -0.5, 930?
-0.29
Which is the closest to 18? (a) -1 (b) 14.1 (c) -3 (d) 1.4
b
What is the nearest to -0.2 in 0.041, -8/57, 38?
-8/57
Which is the nearest to 0.3? (a) 2 (b) 3/7 (c) 1.46 (d) 29 (e) 0.5
b
What is the closest to 0.1 in -1, 5.5, -5/11, 3, 1?
-5/11
Which is the nearest to 220? (a) -1/2 (b) -0.006 (c) -4 (d) 0.3 (e) -1
d
Which is the nearest to 0.4? (a) 1 (b) -30 (c) -4234.1
a
Which is the nearest to 1? (a) 25 (b) 4 (c) -374 (d) 3.1 (e) -0.08
e
Which is the closest to 1/3? (a) -2/11 (b) -88.2 (c) 121 (d) -0.2 (e) -4
a
What is the nearest to -0.27 in -0.324, -1/5, 5, -20, -5, -1/3?
-0.324
What is the closest to 18 in 3/4, -4, 74/25, -1, -5/3?
74/25
What is the closest to 3 in -14087, 3/2, -3, -3/5?
3/2
Which is the closest to 2? (a) -8 (b) 0.016 (c) -457 (d) -2/29
b
Which is the closest to 0.2? (a) -2/5 (b) 1/8 (c) 1 (d) 1/29 (e) -129229
b
Which is the closest to 0.03? (a) 5 (b) 9/7 (c) -2 (d) -3 (e) 5/24 (f) 10
e
Which is the nearest to -3/14? (a) 1 (b) 2/19 (c) 2.2553
b
What is the nearest to -1/3 in -46, 382, 5, -0.5, 4, 3?
-0.5
What is the closest to 9713 in 4, 1/4, 1?
4
What is the closest to 11 in -1.9, 1/3, -1, 17?
17
What is the nearest to 0 in -2/5, -0.05, 1.96, -6/11?
-0.05
What is the nearest to 2 in 65/9, -3.4, 0.1, 542?
0.1
Which is the closest to -1? (a | {
"pile_set_name": "DM Mathematics"
} |
4801 times 531?
5033.9331
Product of -3 and 4520182.
-13560546
Product of -66 and 16.2638.
-1073.4108
-4 times -146517.2
586068.8
-0.4 times -15094237
6037694.8
What is 5412 times -17.9?
-96874.8
What is -18609.6464 times -5?
93048.232
Calculate -0.024*-66.33162.
1.59195888
What is the product of -5 and 23161410?
-115807050
What is 1239.095 times 2?
2478.19
Multiply -91.63 and 650.3.
-59586.989
What is 76118227 times -0.5?
-38059113.5
What is the product of 106906 and -204?
-21808824
27938 * -2.434
-68001.092
What is the product of -6472667 and 0.5?
-3236333.5
Calculate -0.1*7747762.
-774776.2
Multiply 0.03 and 9364.72.
280.9416
Work out -1.1 * -1.69208.
1.861288
-937*18108
-16967196
-36.09 * -24596
887669.64
0 * -60469056
0
What is the product of -19766 and -0.4111?
8125.8026
0.2*2.05034807
0.410069614
-0.7 * 4400308
-3080215.6
Calculate 1466.7*-4001.
-5868266.7
Multiply -0.605 and -7453.
4509.065
What is the product of -40.6235 and 0.289?
-11.7401915
7194*0.2259
1625.1246
Calculate -134*-1737697.
232851398
Work out -3459867 * -140.
484381380
Work out 20 * 842623.
16852460
Calculate 0.128559*-132.
-16.969788
18051.2201*0.2
3610.24402
What is the product of -320 and 114031?
-36489920
What is -5 times -5.360057?
26.800285
1420813 times -0.1
-142081.3
What is -4 times 357505.9?
-1430023.6
-1761901.69*-4
7047606.76
-0.23819536*0.02
-0.0047639072
1.588 * -160.24
-254.46112
What is the product of -0.37 and 10358814?
-3832761.18
Product of -2529.2 and 0.1218.
-308.05656
What is the product of 10199 and 1238?
12626362
-0.3 * 5119910
-1535973
What is 0.0898 times 154389?
13864.1322
What is the product of -781.1046 and -5?
3905.523
What is 118 times -109950?
-12974100
-5325629 * -7
37279403
-1908*0.0065
-12.402
Product of -0.484 and -954.5.
461.978
-1.06075 * 21
-22.27575
-70011487 * 5
-350057435
Work out 7174.3 * 5.7.
40893.51
0.4 * -392482.56
-156993.024
3 * -346.861598
-1040.584794
Calculate 14469*97.11.
1405084.59
-0.7*-882.6401
617.84807
97*0.309349
30.006853
0.4 times -12028332
-4811332.8
What is the product of -28.2382 and -1.555?
43.910401
-40 * -88616
3544640
0.1 times 16731602
1673160.2
What is the product of 360.024 and 894?
321861.456
What is the product of 739 and -0.44672?
-330.12608
Multiply -0.3 and -6094636.
1828390.8
Product of -5 and -0.6379888.
3.189944
What is the product of 0.0176867 and 1.13?
0.019985971
What is the product of 543.96 and -4664?
-2537029.44
Calculate 11*-2941.63.
-32357.93
-15.419 times -11.4
175.7766
-0.37717*-27513
10377.07821
Calculate 17*3772176.
64126992
Multiply -0.1 and -224321.
22432.1
What is 698431 times 10?
6984310
Multiply -747 and -2685.
2005695
Work out 0.2 * 1155826.8.
231165.36
3393 * 3982
13510926
Product of 13 and -1807737.
-23500581
35763*-0.1
-3576.3
What is the product of -16 and 199273?
-3188368
Multiply 58 and -24522.
-1422276
Product of -1.502 and -13.6.
20.4272
Product of -61752143 and 4.
-247008572
Product of -0.03152057 and 0.5.
-0.015760285
-12163849 times -0.2
2432769.8
What is the product of 1028.2144 and -0.7?
-719.75008
5902698*0.2
1180539.6
What is 3978.8 times -0.0718?
-285.67784
7 * 125916
881412
Work out -11197.21 * -4.9.
54866.329
Multiply 0.2 and 24.2203746.
4.84407492
Product of -652476 and 32.9.
-21466460.4
-9005.5 times -1548
13940514
Work out -5 * 17631036.
-88155180
-389.03*-11506
4476179.18
Product of 0.4469 and -2.016.
-0.9009504
What is the product of -115 and 12298?
-1414270
0.4 * -23.7763
-9.51052
Work out 754 * 49919.
37638926
1593068*13
20709884
Work out -0.417 * 337683.
-140813.811
Product of -6185747 and -7.
43300229
Product of 0.047 and -8700425.
-408919.975
Product of 69.868 and 0.637.
44.505916
Calculate 2*-2388347.
-4776694
What is 0.4 times -22760.27?
-9104.108
Calculate -175.47*-1878.8.
329673.036
Work out -81 * -1.86767.
151.28127
Calculate -1.3461*-4739.
6379.1679
0.025 times -20.9047
-0.5226175
Multiply -0.3407 and 0.08163.
-0.027811341
-1525 times -10121
15434525
What is -12194.3 times -46?
560937.8
Multiply 1067762 and 0.14.
149486.68
Calculate -5*13583.31.
-67916.55
0.4*-1.901358
-0.7605432
Multiply 0.2 and -183379870.
-36675974
What is the product of -8.683 and 29.12?
-252.84896
Product of -7774.11 and 6.
-46644.66
0.05585385 * 0.14
0.007819539
Product of 5.8 and 1349107.
7824820.6
Work out 11786037 * -2.
-23572074
Product of 0.5 and -1433.83785.
-716.918925
Calculate -2671*-4.6814.
12504.0194
Product of -88 and 233631.
-20559528
Work out -0.01 * -5334289.
53342.89
What is the product of -0.1 and -122.475991?
12.2475991
-0.043339278*-2
0.086678556
What is the product of 0.06695828 and 2?
0.13391656
0.2057 * 242.18
49.816426
-47940 times 33
-1582020
Work out -57173903 * 5.
-285869515
What is 432342 times -139?
-60095538
-137012 * -0.093
12742.116
-0.2236379 times -0.086
0.0192328594
-0.37247768 times 2
-0.74495536
-19040304.4 times -5
95201522
-0.3 * 84786.8
-25436.04
What is -743 times -27371?
20336653
Work out 0.48 * 1814979.
871189.92
Calculate 4.4*11299.94.
49719.736
Multiply 0.2 and 38301483.
7660296.6
What is 828979 times -0.46?
-381330.34
Work out 88 * -1390858.
-122395504
-771072*14
-10795008
Work out 20.9 * 0.540976.
11.3063984
What is the product of 9.7 and 273650?
2654405
29141 * -437
-12734617
Product of 0.4 and 2485928.
994371.2
What is the product of 0.5 and -141153262?
-70576631
What is 14.269 times -6.48?
-92.46312
-1420030 * -57
80941710
8484.77*62.2
527752.694
Work out -60 * -65706.9.
3942414
Calculate -7*10.690846.
-74.835922
19614788 times -9
-176533092
Work out 4035720 * 0.062.
250214.64
Work out -1.77 * 12155.
-21514.35
What is -0.3 times -1756472?
526941.6
Multiply -5 and 229.9688.
-1149.844
Multiply 106.202 and 1191.
126486.582
Work out 297455.53 * -4.
-1189822.12
Calculate -11*0.0588989.
-0.6478879
Multiply -46.96 and -4.371.
205.26216
0.4*-329.4613
-131.78452
Product of -0.3 and 1584314.
-475294.2
-58007097*2
-116014194
7688979 times -5
-38444895
41.72 times -1147
-47852.84
2311 * -4.925
-11381.675
Product of 68.62 and -0.9512.
-65.271344
What is the product of 0.57 and 33153?
18897.21
Multiply 3 and -0.3043123.
-0.9129369
Calculate -2025651*0.05.
-101282.55
What is 2 times -6846370?
-13692740
4 times 0.0574458
0.2297832
Work out 0.186 * -173441.
-32260.026
What is the product of 5 and 933837.9?
4669189.5
Product of -2.11612842 and 0.3.
-0.634838526
-22545*-701
15804045
Work out 854581.08 * -0.1.
-85458.108
-0.4*3165880.1
-1266352.04
Calculate -67.48063*0.4.
-26.992252
Calculate -0.3*159346458.
-47803937.4
Work out 0.5 * 891.1548.
445.5774
What is the product of -240 and -1.23931?
297.4344
-0.2*-22.65121
4.530242
What is 1.64297 times -0.1803?
-0.296227491
Multiply 1 and -254794881.
-254794881
Product of -5 and 78400668.
-392003340
What is -7 times -14.013255?
98.092785
Calculate -90.7*196866.
-17855746.2
Product of -155143.6 and -107.
16600365.2
-4.7*-0.166382
0.7819954
493*-3856
-1901008
Multiply -0.3 and 180126809.
-54038042.7
Work out 17363.45097 * -2.
-34726.90194
Multiply 1.2157 and 6973.
8477.0761
Product of 29.57 and -0.01297.
-0.3835229
Work out -0.611 * 0.09576.
-0.05850936
Product of 23 and 1808247.
41589681
Multiply -15065140 and -3.
45195420
-0.3 times 627961.06
-188388.318
What is 16271 times 1.1928?
19408.0488
Multiply -0.1 and 405432437.
-40543243.7
What is the product of -2.294925 and 9?
-20.654325
What is 1698 times -42882?
-72813636
-9644*-7254
69957576
0.4*-126432
-50572.8
-218413 times 2.574
-562195.062
-3.932 * 152.388
-599.189616
Product of -3128267 and -0.5.
1564133.5
Calculate 0.419*1999.1.
837.6229
0.154 times -755977
-116420.458
Product of -9 and -0.1100527.
0.9904743
Multiply 72374 and -3.635.
-263079.49
What is 4 times -158972?
-635888
-19*2511911
-47726309
Calculate -0.055*-3075.
169.125
What is 421733 times -0.093?
-39221.169
4759480.6 times -7
-33316364.2
Multiply -170304163 and -0.4.
68121665.2
Multiply -55404 and 0.067.
-3712.068
Work out 296 * -1089930.
-322619280
Multiply -0.014 and 8730.4.
-122.2256
1426139*2.4
3422733.6
Work out -0.6524932 * 0.4.
-0.26099728
8.8372 * 7
61.8604
What is the product of 0 and 424253.7?
0
Calculate 1.299*-1.634.
-2.122566
What is 30.7 times 13575.67?
416773.069
0.2*2060659
412131.8
What is -27183 times 409?
-11117847
What is the product of 0.1 and 168564. | {
"pile_set_name": "DM Mathematics"
} |
). Suppose -8*o - c = -4*o. What is the units digit of (o/2)/(3/(-15))?
5
What is the hundreds digit of 11*1*(-115994)/(-1298)?
9
Suppose 4*o = 3*o + 8. Let b = o + -4. Suppose -b*d + 29 + 91 = 0. What is the units digit of d?
0
Let n be (-35)/3 - (-9)/(-27). Let m be (-3)/n + (-60)/(-16). Suppose -5*o + 45 = 4*q, -o + m*q = q + 10. What is the units digit of o?
5
What is the tens digit of 172868/64 - (-34)/(-544)?
0
Suppose 23*b - 27851 - 5660 = 0. What is the thousands digit of b?
1
Let x(u) = -82*u - 15. What is the tens digit of x(-3)?
3
Suppose 0 = s + 1 + 4, 4*b - 4*s = 1924. What is the units digit of b?
6
Suppose 3*u - n = 4, -20 = -4*u - 3*n + 7. Let x = u - -1. What is the tens digit of 36 - ((-5 - -3) + x)?
3
Let q = -65 + 37. What is the units digit of (-1 + 4)*(-1 - 2 - q)?
5
Suppose -23*i + 8*i = -6735. What is the hundreds digit of i?
4
Suppose 27*u - 30*u = -3. Let n(y) = 62*y**3 + 2*y**2 - 2*y + 1. What is the tens digit of n(u)?
6
Suppose 3 = -4*y + 3*g + 2, 0 = -y + g - 1. Suppose -5*d = -3*o + 26, 0*o + 4*o = -y*d. What is the tens digit of 37 + (o - (-16)/(-4))?
3
What is the units digit of (-6)/(-10) - 1722/(-205)?
9
Let k(y) = 8*y**3 - y**2 - 4*y + 3. Let l be (-8)/(2 - 4) + -2. Let b be k(l). Let r = b - 31. What is the tens digit of r?
2
Let i = 119 - 120. Let l(a) = -28*a - 4. What is the units digit of l(i)?
4
Let v(y) = -y**3 + 6*y**2 + y + 1. Let g be v(5). Suppose -35 = -2*n + g. What is the tens digit of n?
3
Suppose 0 = -l + 2 - 1. Suppose 2*k + l = 3. What is the tens digit of -2 + k - (-31 - -3)?
2
Suppose 5*c + 11 + 34 = 0. Let y(p) be the third derivative of -p**5/60 - 5*p**4/12 + p**3/3 - 4*p**2. What is the tens digit of y(c)?
1
Suppose -2*o = 14 + 4. Let x(q) be the second derivative of -q**5/20 - 2*q**4/3 + q**3 - 3*q**2/2 + 2*q. What is the units digit of x(o)?
4
Let v(y) = -y**2 + 4*y + 2. Let o be v(3). Let t = -5 - -9. Suppose 0 = -o*j - t*f + 126, 2*j - j - 4*f = 6. What is the tens digit of j?
2
Let a = 1000 - 677. What is the tens digit of a?
2
Let d = -2506 - -4077. What is the hundreds digit of d?
5
Let m = 39 + -63. Suppose 46 = -2*p + 2*q, 3*p - 4*q - 1 = -74. Let j = p - m. What is the units digit of j?
5
Let p(w) = -w**2 + 9*w - 11. Let z be p(8). Suppose -4*s + s = 18. Let r = z - s. What is the units digit of r?
3
Suppose -k = -53 + 66. What is the tens digit of (1 - k) + (-6 - -4)?
1
Let j(w) = 24*w + 219. What is the hundreds digit of j(47)?
3
What is the hundreds digit of ((-4970)/175)/((-2)/320)?
5
Let x(a) = 2*a**2 - 6*a - 10. Let b(j) = j**2 - j. Let y(n) = 5*b(n) - x(n). What is the units digit of y(3)?
0
Let j = 70 + -50. What is the tens digit of (-2)/(-20)*-6 - (-492)/j?
2
Let a(w) = 60*w**2 - 25*w - 3. What is the hundreds digit of a(-2)?
2
Suppose 265 = 11*m - 6*m. What is the units digit of m?
3
Let m(r) = 35*r - 4. Let l be m(10). Suppose 5*q - l = 299. What is the hundreds digit of q?
1
Let w be (22/(-4) + -1)*2. Let d = -11 - w. Suppose 143 = 4*a + 2*r + 37, d*r = -3*a + 78. What is the units digit of a?
8
Suppose -6*g + 26 = -166. Suppose 1062 = 10*u + g. What is the units digit of u?
3
Suppose 0 = -2*a + k + 5395, -6*a + 3*a - 5*k + 8086 = 0. What is the units digit of a?
7
Let y(v) = 294*v - 235. What is the hundreds digit of y(5)?
2
Suppose -5*j + 3 = -27. Suppose -j*i + 94 + 104 = 0. What is the tens digit of i?
3
Let a(d) = 4*d**2 + 16*d + 342. What is the hundreds digit of a(-13)?
8
Suppose -7*w + 1365 + 196 = 0. Let m = -105 + w. What is the units digit of m?
8
Let d = 3447 + -677. What is the hundreds digit of d?
7
Let v(u) = -u**3 - 23*u**2 + 2*u + 16. Let r be v(-23). Let j = 370 - 120. What is the tens digit of (j/r)/((-2)/6)?
2
Suppose 2*p - 6*w = -11*w + 731, -5*w = 3*p - 1104. Suppose 3*u - 962 + p = 4*s, 3*u + 4*s = 605. What is the hundreds digit of u?
1
Let r(w) = -w**3 + 8*w**2 - 4*w - 8. Suppose 0*u + 88 = 2*u. Suppose 0 = 2*b - 4*f + 4, -u = -0*b - 4*b - 5*f. What is the units digit of r(b)?
0
Let b = 1 - -23. Let g(a) = 11*a - 6. Let p be g(6). Let r = p - b. What is the units digit of r?
6
Suppose 0 = 4*f + 16*f - 980. What is the units digit of f?
9
Suppose -7*r + 2*r - 2*g + 47 = 0, -4*g - 49 = -3*r. Let o be (r/22)/(2/116). Let a = o + -4. What is the tens digit of a?
2
Suppose 0 = 8*p - 7158 + 1710. What is the tens digit of p?
8
Let u = 47 + -291. Let d be u/(-8)*(-1 + 3). Let m = d + -36. What is the tens digit of m?
2
Suppose 3*h = -2*h + 135. Suppose -d + 36 + h = -5*k, -71 = -d + k. What is the tens digit of d?
7
Let a(q) = -23*q + 2. Suppose 0 = -i - 13 - 23. Let g be (2/8)/(9/i). What is the tens digit of a(g)?
2
Let s(h) be the second derivative of 3*h**4/4 - h**3/3 + 3*h**2 - 8*h. What is the tens digit of s(4)?
4
Let f = -36 - -43. Suppose -f*q + 1235 - 24 = 0. What is the tens digit of q?
7
Suppose 0 = 4*x - 718 + 146. Let y = x - 88. What is the tens digit of y?
5
Let k be -4 - (-28 - (3 + 0)). Let f = -3 + k. What is the tens digit of f?
2
Suppose -5*k = v - 3018, 3*k - 14670 - 508 = -5*v. What is the units digit of v?
8
Let w(j) = 5*j + 10. Let t(d) = -11*d - 19. Let g(x) = -3*t(x) - 5*w(x). Let m(q) = 8*q + 6. Let b(i) = 4*g(i) - 5*m(i). What is the units digit of b(-1)?
6
Suppose j + 122 = 340. What is the units digit of j?
8
Let c(w) = -57*w + 2 - 5 + 4. What is the tens digit of c(-1)?
5
Suppose 3*g - 4*p = 4163, 2*p - 2016 = -3*g + 2135. What is the tens digit of g?
8
What is the hundreds digit of ((-35)/5 + 5)/((-3)/1758)?
1
Let m(i) = -i**2 - 14*i + 16. Let r be m(-19). What is the units digit of -6 - (-4 + 1) - r?
6
Let r(q) = q - 94. Let s be r(0). Suppose 5*a + 1096 = 13*a. Let x = s + a. What is the tens digit of x?
4
Suppose -32*k - 3971 = -3*u - 28*k, -4*k - 2650 = -2*u. What is the units digit of u?
1
Suppose 9*x - 12072 = -354. What is the units digit of x?
2
Let g(h) = -h**3 - 7*h**2 - 6*h + 3. Let a be g(-6). Suppose a*j - 2*j = 77. What is the units digit of j?
7
What is the tens digit of (60/16 - 3)/((-3)/(-804))?
0
Let v(q) = 11*q - 15. Let w(g) = -17*g + 22. Let u(r) = -7*v(r) - 5*w(r). Let z be u(3). Let c = z - -1. What is the tens digit of c?
2
Suppose -4*f = 2*i - f - 176, 4*i - 354 = -5*f. Suppose i + 109 = 5*v. What is the units digit of v?
0
Suppose -4*m + 96 = -2*a, 2*a + 201 = -3*a - 3*m. Let n be (-15)/(-5) + -4*16. Let y = a - n. What is the tens digit of y?
1
Suppose 4*p - 5 = -3*q, -13 = -4*p + q + 4*q. Let y be p/4*-22*8. Let m = -60 - y. What is the units digit of m?
8
Suppose -2*r - 42 = 5*r. What is the units digit of r/(-39) - 3175/(-65)?
9
Let m(b) = 2*b**2 + b. Let h be m(-2). Suppose -h*p = -4*t - 2*p + 412, -4 = 4*p. What is the tens digit of t?
0
Let j(p) = p - 13. Let u be j(10). Let k be u*(-4)/(-36)*-12. Suppose g + k = 45. What is the units digit of g?
1
Let f be ((-17)/2)/(2/(-4)). Let b = -12 + f. Let u = 12 + b. What is the tens digit of u?
1
Let z = 613 - 400. What is the hundreds digit of z?
2
Let f be 3 + (-1 + 3 - 1). Suppose -6 = -y - 3*g, 2*y - f*g - 21 = 1. Suppose -40 = 7*x - y*x. What is the units digit of x?
0
Suppose 0 = 10*f + 9*f - 9500. What is the tens digit of f?
0
Suppose 4*u + 2*u = 294. Let d = u + -24. What is the units digit of d?
5
Let d = -159 + 165. What is the units digit of d?
6
Let p(b) = b**3 + 9*b**2 + 3*b + 2. Suppose 39 - 24 = -5*x. Let u = -11 - x. What is the units digit of p(u)?
2
Let f(s) = 28*s**2 + s - 1. Let q = 10 - 9. What is the units digit of f(q)?
8
Suppose 84 = -3*u + 7*u. Let m = u + -23. What is the units digit of 24 + (-2 + m)/4?
3
Let t = 865 - 515. What is the tens digit of t?
5
Suppose 2*d + 12 = -12. What is the units digit of (34/d)/(4/(-64))*3?
6
Suppose -4*z - 864 = -b - 3171, 3*z + b = 1739. What is the hundreds digit of z?
5
Let x be (3/(-6))/(3/(-468)). Suppose 0 = -v + x + 210. Suppose 5*i - 2*u = 199 + 161, -4*u = -4*i + v. What is the tens digit of i?
7
Let z = 339 + 4039. What is the tens digit of z?
7
Suppose 0 = 8*b - 280 - 1512. Let g = b - 70. What is the hundreds digit of g?
1
Let y(q) = -1749*q**3 - q**2 - 3*q. What is the hundreds digit of y(-1)?
7
Let t(k) = k**2 - 16*k + 3. Let u be t(-6). Let b = u - 63. What is the units digit of b?
2
Let t(s) = -s**3 - 7*s**2 - 9*s - 7. Let b be t(-6). Let w be b + (-1)/2*2 | {
"pile_set_name": "DM Mathematics"
} |
30 - 10 for t.
5
Solve 0 = -g - 96 + 100 for g.
4
Solve 8*j + 24 = 2*j for j.
-4
Solve -30 = 7*o - 16 for o.
-2
Solve -10*f = -14*f + 20 for f.
5
Solve 21*y + 80 = y for y.
-4
Solve 49*d + 61 - 12 = 0 for d.
-1
Solve -54*v = -47*v - 28 for v.
4
Solve -28 = 2*x - 18 for x.
-5
Solve 30*k - 112 - 8 = 0 for k.
4
Solve 0 = -18*k - 3*k + 63 for k.
3
Solve 45 = 9*y + 18 for y.
3
Solve 50*d = 75*d - 100 for d.
4
Solve 15*m - 9*m = 6 for m.
1
Solve -s + 13 = 15 for s.
-2
Solve -6 + 12 = -2*n for n.
-3
Solve 11*h = 8*h + 15 for h.
5
Solve 0 = -58*k + 59*k + 2 for k.
-2
Solve -u = 5 - 7 for u.
2
Solve 24*j = 32*j - 40 for j.
5
Solve -39*t + 45*t = 0 for t.
0
Solve 0 = -23*z + 22*z + 5 for z.
5
Solve -42 = -479*h + 465*h for h.
3
Solve -2*n + 3 = -n for n.
3
Solve v - 69 = -65 for v.
4
Solve 2*q - 9 = -3 for q.
3
Solve 0 = -12*g + 856 - 868 for g.
-1
Solve 128*i - 134*i - 18 = 0 for i.
-3
Solve 63*h - 8 = 67*h for h.
-2
Solve -6*d + 12 = -12 for d.
4
Solve 179*q + 488 + 944 = 0 for q.
-8
Solve 3*j - 4 - 11 = 0 for j.
5
Solve -41*z - 39 = -2*z for z.
-1
Solve 0*s = -3*s - 15 for s.
-5
Solve -20*p = -12*p - 40 for p.
5
Solve 3*o + 35 = 29 for o.
-2
Solve 94 = 6*u + 100 for u.
-1
Solve -88*d - 150 = -58*d for d.
-5
Solve -30*r - 36 = -12*r for r.
-2
Solve 426*k = 422*k + 4 for k.
1
Solve 8*f = 5*f - 6 for f.
-2
Solve -5*s + 63 - 98 = 0 for s.
-7
Solve 19*g + 21*g = -160 for g.
-4
Solve 79*i - 6 - 389 = 0 for i.
5
Solve 1 + 2 = f for f.
3
Solve 14*w = 11*w for w.
0
Solve 7*d + 41*d = -144 for d.
-3
Solve -18*k = -17*k - 5 for k.
5
Solve 0 = 32*q + 43 - 235 for q.
6
Solve 205*g = 142*g + 63 for g.
1
Solve 176*u = 175*u - 1 for u.
-1
Solve 6*x = 22*x + 16 for x.
-1
Solve 15*s = 6*s + 27 for s.
3
Solve -2*g + 16 = -6*g for g.
-4
Solve 553*u + 40 = 533*u for u.
-2
Solve 20*g = 9*g + 11 for g.
1
Solve 4 = -2*q - 0*q for q.
-2
Solve -147*k + 141*k = -48 for k.
8
Solve -18 = -15*f + 9*f for f.
3
Solve 0 = -19*m + 17 + 59 for m.
4
Solve 23*n + 63 = -6 for n.
-3
Solve 99 = -59*d - 78 for d.
-3
Solve s - 1224 = -1215 for s.
9
Solve -6*k - 19 = -1 for k.
-3
Solve 0 = -8*g + 125 - 85 for g.
5
Solve 51 = -66*z - 15 for z.
-1
Solve -40*g + 6 = -37*g for g.
2
Solve 228 = 8*f + 292 for f.
-8
Solve -17*c = -27*c + 30 for c.
3
Solve 11*x - 58 = -91 for x.
-3
Solve 3 + 36 = 13*v for v.
3
Solve 112 = 2*m - 18*m for m.
-7
Solve 42*a + 136 - 346 = 0 for a.
5
Solve -28 = 9*p + 5*p for p.
-2
Solve 9*d - 27 = -0*d for d.
3
Solve 12*a - 7*a + 10 = 0 for a.
-2
Solve 9*l - 12*l = -3 for l.
1
Solve -4*i + 26 = 6 for i.
5
Solve 38*u + 107 + 45 = 0 for u.
-4
Solve 1 = -21*k + 85 for k.
4
Solve -4*s + 75 = 115 for s.
-10
Solve -84*r + 87*r + 6 = 0 for r.
-2
Solve 0 = -6*b - 243 + 273 for b.
5
Solve 3*l + 3*l = 5*l for l.
0
Solve -21*b + 33*b - 72 = 0 for b.
6
Solve -28*u - 32 = -36*u for u.
4
Solve 0 = -7*l - 14 + 35 for l.
3
Solve -85*a + 118*a - 231 = 0 for a.
7
Solve -6*i - 692 + 668 = 0 for i.
-4
Solve -f = -3*f - 4*f for f.
0
Solve -6 = 2*h - 2 for h.
-2
Solve 62*b - 84 = 83*b for b.
-4
Solve 56*j = 63*j - 28 for j.
4
Solve -4*q + 2 = -18 for q.
5
Solve 32*b = 252 - 60 for b.
6
Solve -545*l + 560*l - 15 = 0 for l.
1
Solve -10*f + 410 = 72*f for f.
5
Solve -62 = -12*s - 14 for s.
4
Solve 3*k = -4*k + 21 for k.
3
Solve 93*o - 30 = 123*o for o.
-1
Solve 4*k + 27 = 13*k for k.
3
Solve -5*w - 7 = -22 for w.
3
Solve 0 = -2*g - 8*g - 40 for g.
-4
Solve -118*d + 45 = -127*d for d.
-5
Solve 592 = -12*f + 496 for f.
-8
Solve -31*n - 25*n + 112 = 0 for n.
2
Solve -9*r = -8*r - 3*r for r.
0
Solve 405*x = 325*x + 800 for x.
10
Solve 4085 - 4075 = 5*o for o.
2
Solve 29 = -2*k + 29 for k.
0
Solve -117*g = -128*g + 110 for g.
10
Solve 17*i - 16 = 13*i for i.
4
Solve -33*x = -32*x + 3 for x.
-3
Solve 27*r - 178 = 38 for r.
8
Solve -45 = -25*j + 55 for j.
4
Solve -26 = 210*j - 197*j for j.
-2
Solve -l = -4*l - 9 for l.
-3
Solve -11 = -3*c - 2 for c.
3
Solve 10*p = 24 - 24 for p.
0
Solve -126*b + 39 = -113*b for b.
3
Solve 4*x = 41 - 65 for x.
-6
Solve -392*h = -366*h - 182 for h.
7
Solve -15*t - 183 + 183 = 0 for t.
0
Solve 3*y + 386 = 374 for y.
-4
Solve 15 = 26*d + 15 for d.
0
Solve 11*j - 45 + 1 = 0 for j.
4
Solve -2*u = -4*u - 10 for u.
-5
Solve -w = -46 + 42 for w.
4
Solve -88*r - 34 = -71*r for r.
-2
Solve 241*u - 427 = 180*u for u.
7
Solve -390*t = -398*t + 24 for t.
3
Solve 284 = 2*j + 278 for j.
3
Solve -89*u + 72*u + 68 = 0 for u.
4
Solve -13*h + 18 = 31 for h.
-1
Solve 0 = 2*m + 2*m - 11*m for m.
0
Solve -17*o = -0*o for o.
0
Solve -58*r + 30 = -64*r for r.
-5
Solve -4*g = -12*g + 32 for g.
4
Solve -67 = 4*w - 75 for w.
2
Solve -75 - 6 = -9*c for c.
9
Solve -35*s = 2*s for s.
0
Solve 0 = -25*r - 125 - 50 for r.
-7
Solve -10*u = -7*u for u.
0
Solve -26*y - 156 = -0*y for y.
-6
Solve 33 = 4*y + 21 for y.
3
Solve 7427*f - 105 = 7412*f for f.
7
Solve -18 = -543*w + 537*w for w.
3
Solve 6*g - 21*g = 0 for g.
0
Solve 56*l = 60*l + 16 for l.
-4
Solve 0 = -18*a - 33 - 57 for a.
-5
Solve -16*t + 23 + 9 = 0 for t.
2
Solve 0*b + 5 = 5*b for b.
1
Solve 3*t = 43 - 58 for t.
-5
Solve 164*s + 12 = 170*s for s.
2
Solve 3*a + 37 = 22 for a.
-5
Solve -622 = 66*v - 28 for v.
-9
Solve 21*h + 41 + 22 = 0 for h.
-3
Solve 58*s - 10 = 53*s for s.
2
Solve 2702*q = 2685*q + 34 for q.
2
Solve -19*k + 8 = -15*k for k.
2
Solve 0 = -48*b + 21*b for b.
0
Solve 124*j - 5 = 129*j for j.
-1
Solve -24 = -43*o + 49*o for o.
-4
Solve -107 = 7*k - 135 for k.
4
Solve -8*i - 14 - 10 = 0 for i.
-3
Solve 56 = -5*h + 81 for h.
5
Solve 0*f = -11*f - 66 for f.
-6
Solve -75*k - 12 = -79*k for k.
3
Solve 4*u = 11*u + 35 for u.
-5
Solve y + 39*y - 160 = 0 for y.
4
Solve 11 = -9*h + 29 for h.
2
Solve 0 = 79*g - 106*g for g.
0
Solve 0 = -14*t - 13*t - 81 for t.
-3
Solve -379*d - 19 = -360*d for d.
-1
Solve -7*g + 10*g = 9 for g.
3
Solve 0 = -37*r + 154 - 6 for r.
4
Solve -3*p = -8 + 14 for p.
-2
Solve -16*z - 10*z - 52 = 0 for z.
-2
Solve 1542*f - 1545*f = -21 for f.
7
Solve 0 = 2*b + 3 - 13 for b.
5
Solve 7*z - 13 = 29 for z.
6
Solve 3*d = -0*d - 15 for d.
-5
Solve 8 = -34*p + 30*p for p.
-2
Solve -57*j = -45*j + 60 for j.
-5
Solve 0 = 6*l + 186 - 168 for l.
-3
Solve 32*v = -18*v + 50 for v.
1
Solve 3*y = 223 - 220 for y.
1
Solve 25 = 207*d - 212*d for d.
-5
Solve 8*x - 37 = 3 for x.
5
Solve 5 - 20 = -3*q for q.
5
Solve -3*z - 11 = -5 for z.
-2
Solve 5*p + 13 = -12 for p.
-5
Solve 3*a = -a + 12 for a.
3
Solve 2*l - 25 = -3*l for l.
5
Solve -8*c + 45 = 45 for c.
0
Solve -8*c + 3*c - 15 = 0 for c.
-3
Solve -25 = 30*s + 5 for s.
-1
Solve 223 = -25*v + 248 for v.
1
Solve 42*s = -63 - 315 for s.
-9
Solve 30*d + 43*d = -365 for d.
-5
Solve 61*i - 172 = -25*i for i.
2
Solve 0*v = 4*v - 16 for v.
4
Solve 0 = 27*l - 25*l + 6 for l.
-3
Solve 19*i = 25*i - 18 for i.
3
Solve 46*c + 6 = 52*c for c.
1
Solve 1708*h - 1703*h = -15 for h.
-3
Solve 3*d + 13*d + 64 = 0 for d.
-4
Solve 0 = -4*t - 6 - 10 for t.
-4
Solve -41*q + 10 = -43*q for q.
-5
Solve 100*u - 66*u = 238 for u.
7
Solve -6*x - 86 + 92 = 0 for x.
1
Solve 5*b - 14 = -9 for b.
1
Solve 27*y - 2 = -83 for y.
-3
Solve 0 = 3*c + 2*c - 15 for c.
3
Solve -35*w + 30 = -29*w for w.
5
Solve -21 = 5*m + 4 for m.
-5
Solve -1 + 31 = 6*n for n.
5
Solve 81 + 23 = 26*q for q.
4
Solve 8*s + 37 = -19 for s.
-7
Solve 11*g - 60 = -38 for g.
2
Solve -3255 = 16*j - 3303 for j.
3
Solve 0 = -29*u - 494 + 262 for u.
-8
Solve 194 - 390 = 28*h for h.
-7
Solve 0 = 200*s - 169*s + 62 for s.
-2
Solve 358 = 20*y + 498 for y.
-7
Solve 19*f - 5*f = 70 for f.
5
Solve -f = 5*f - 17*f for f.
0
Solve 0 = 33*y - 30*y - 3 for y.
1
Solve -6*n + 21 + 3 = 0 for n.
4
Solve -20 + 16 = -4*x for x.
1
Solve -44 = 46*s - 182 for s.
3
Solve 0 = 6*o - 8 + 38 for o.
-5
Solve 35*c - 36*c + 3 = 0 for c.
3
Solve 0 = 18*k - 11*k - 7 for k.
1
Solve 2*r = 5 + 3 for r.
4
Solve -29*x + 5*x + 144 = 0 for x.
6
Solve 10*i = 618 - 678 for i.
-6
Solve 7*f = -0 - 7 for f.
-1
Solve 102*k = 108*k + 36 for k.
-6
Solve 60*y = 55*y for y.
0
Solve -19*w - 2 = -21*w for w.
1
Solve 0 = -26*s - 6*s - 160 for s.
-5
Solve -220*d - 2 = -219*d for d.
-2
Solve 5*i + 6*i - 5*i = 0 for i.
0
Solve 0*f + 4 = 2*f for f.
2
Solve -20*q = 40 - 100 for q.
3
Solve -53*i + 35*i - 36 = 0 for i.
-2
Solve 90*n - 380 = -5*n for n.
4
Solve -6*y - 243 + 219 = 0 for y.
-4
Solve 5*j + 5 | {
"pile_set_name": "DM Mathematics"
} |
133
-8 (base 14) to base 11
-8
Convert -5 (base 15) to base 7.
-5
12112 (base 3) to base 8
225
What is 102 (base 4) in base 15?
13
-d (base 16) to base 11
-12
Convert 11 (base 2) to base 16.
3
What is 9 (base 12) in base 7?
12
-30 (base 12) to base 6
-100
Convert -62 (base 7) to base 12.
-38
Convert 38 (base 13) to base 4.
233
Convert -16 (base 15) to base 11.
-1a
What is -3300 (base 4) in base 16?
-f0
What is 3 (base 4) in base 5?
3
Convert -103 (base 4) to base 14.
-15
-77 (base 13) to base 6
-242
-1 (base 16) to base 5
-1
What is 90 (base 12) in base 10?
108
What is 10 (base 4) in base 15?
4
What is 7 (base 11) in base 6?
11
Convert 5a (base 13) to base 7.
135
Convert 8 (base 15) to base 5.
13
Convert -16 (base 9) to base 5.
-30
Convert -4 (base 11) to base 9.
-4
What is -27 (base 16) in base 14?
-2b
What is -13 (base 7) in base 9?
-11
Convert 10 (base 2) to base 5.
2
12 (base 11) to base 15
d
What is -2 (base 9) in base 10?
-2
Convert -3 (base 15) to base 2.
-11
Convert d (base 15) to base 3.
111
Convert -1 (base 8) to base 16.
-1
Convert -9 (base 12) to base 4.
-21
-29 (base 14) to base 9
-41
5 (base 10) to base 6
5
5a (base 13) to base 3
2210
What is 53 (base 6) in base 16?
21
Convert -4a (base 16) to base 2.
-1001010
-4b (base 12) to base 8
-73
Convert -4 (base 12) to base 13.
-4
Convert -11 (base 12) to base 14.
-d
What is 113 (base 6) in base 7?
63
What is -3 (base 5) in base 8?
-3
What is 11a (base 15) in base 12?
18a
-201 (base 3) to base 15
-14
-10110011 (base 2) to base 9
-218
What is -1b (base 15) in base 3?
-222
Convert 0 (base 12) to base 14.
0
Convert 18 (base 9) to base 5.
32
Convert -11 (base 5) to base 2.
-110
What is -12 (base 5) in base 15?
-7
Convert 106 (base 7) to base 12.
47
6 (base 16) to base 2
110
What is -9 (base 13) in base 10?
-9
What is c9 (base 16) in base 8?
311
What is 2 (base 3) in base 10?
2
-121 (base 3) to base 9
-17
Convert 5 (base 11) to base 6.
5
Convert 1 (base 13) to base 5.
1
-1 (base 7) to base 6
-1
What is -13 (base 5) in base 11?
-8
Convert 143 (base 10) to base 3.
12022
20211 (base 3) to base 2
10111000
4 (base 12) to base 11
4
What is 11 (base 10) in base 12?
b
Convert -a (base 16) to base 7.
-13
What is -14 (base 12) in base 14?
-12
2 (base 14) to base 3
2
10120 (base 3) to base 4
1200
Convert -1 (base 7) to base 10.
-1
What is 0 (base 9) in base 15?
0
Convert 3 (base 4) to base 16.
3
What is 10 (base 2) in base 14?
2
Convert 2 (base 11) to base 9.
2
-1 (base 4) to base 12
-1
What is -4 (base 12) in base 8?
-4
Convert -88 (base 15) to base 4.
-2000
What is 1 (base 11) in base 13?
1
What is -2 (base 6) in base 10?
-2
What is -5 (base 14) in base 9?
-5
Convert -14 (base 6) to base 7.
-13
-2 (base 15) to base 3
-2
Convert -15 (base 12) to base 10.
-17
-138 (base 10) to base 13
-a8
Convert -1 (base 7) to base 11.
-1
Convert -5 (base 11) to base 9.
-5
Convert -240 (base 6) to base 13.
-75
4 (base 15) to base 7
4
Convert 14 (base 16) to base 11.
19
What is 303 (base 4) in base 5?
201
What is 15 (base 10) in base 2?
1111
Convert -1 (base 15) to base 8.
-1
Convert -116 (base 15) to base 11.
-204
Convert 33 (base 10) to base 9.
36
What is 66 (base 7) in base 15?
33
Convert -1000101 (base 2) to base 9.
-76
-26 (base 7) to base 16
-14
Convert -10 (base 2) to base 11.
-2
What is -200 (base 3) in base 13?
-15
Convert -3 (base 8) to base 11.
-3
Convert -a (base 15) to base 12.
-a
3 (base 11) to base 6
3
-1201 (base 5) to base 15
-bb
4 (base 15) to base 5
4
Convert 26 (base 15) to base 4.
210
What is -10 (base 16) in base 4?
-100
1 (base 3) to base 12
1
Convert -5 (base 8) to base 16.
-5
-122 (base 4) to base 2
-11010
What is -4 (base 5) in base 15?
-4
What is 11 (base 7) in base 9?
8
What is 15 (base 6) in base 15?
b
What is 37 (base 8) in base 13?
25
-b (base 14) to base 8
-13
-b (base 12) to base 16
-b
Convert -14 (base 11) to base 3.
-120
Convert -243 (base 7) to base 2.
-10000001
46 (base 11) to base 16
32
What is 23 (base 9) in base 12?
19
Convert -1a (base 14) to base 6.
-40
-3 (base 13) to base 9
-3
18 (base 15) to base 8
27
-43 (base 13) to base 5
-210
What is 10 (base 11) in base 10?
11
Convert 1001 (base 4) to base 12.
55
What is -7 (base 14) in base 6?
-11
Convert -36 (base 8) to base 15.
-20
What is -3 (base 6) in base 16?
-3
-112 (base 6) to base 12
-38
3 (base 5) to base 6
3
-72 (base 11) to base 4
-1033
-14 (base 14) to base 7
-24
What is 1 (base 4) in base 12?
1
147 (base 13) to base 15
103
What is -1 (base 11) in base 13?
-1
What is 10 (base 10) in base 15?
a
19 (base 16) to base 4
121
14 (base 15) to base 2
10011
-71 (base 13) to base 9
-112
What is -3 (base 5) in base 9?
-3
Convert -9 (base 14) to base 3.
-100
1 (base 8) to base 9
1
Convert -106 (base 9) to base 4.
-1113
-22 (base 4) to base 15
-a
Convert -3 (base 13) to base 15.
-3
2 (base 9) to base 12
2
2 (base 5) to base 8
2
4 (base 12) to base 5
4
What is -2 (base 14) in base 9?
-2
-10 (base 10) to base 11
-a
What is 1043 (base 6) in base 10?
243
What is 1c (base 16) in base 3?
1001
Convert 7 (base 14) to base 2.
111
What is -4 (base 6) in base 9?
-4
Convert -45 (base 6) to base 4.
-131
What is -2 (base 3) in base 6?
-2
-338 (base 9) to base 16
-116
0 (base 13) to base 16
0
What is -9 (base 14) in base 11?
-9
Convert -2 (base 5) to base 3.
-2
1 (base 2) to base 12
1
Convert -132 (base 7) to base 13.
-57
Convert -6 (base 11) to base 13.
-6
Convert 13 (base 8) to base 15.
b
What is -32 (base 13) in base 2?
-101001
Convert -40 (base 16) to base 13.
-4c
0 (base 6) to base 4
0
Convert -2 (base 4) to base 6.
-2
0 (base 5) to base 2
0
66 (base 9) to base 2
111100
-4 (base 16) to base 12
-4
-17 (base 14) to base 3
-210
What is -202 (base 4) in base 16?
-22
-10 (base 5) to base 8
-5
-2 (base 4) to base 3
-2
Convert -2 (base 15) to base 14.
-2
-4d (base 15) to base 4
-1021
Convert 1 (base 12) to base 13.
1
Convert 8 (base 12) to base 8.
10
Convert -5 (base 13) to base 16.
-5
What is -1221 (base 3) in base 8?
-64
What is -3 (base 9) in base 13?
-3
Convert 2 (base 3) to base 12.
2
What is -131 (base 7) in base 8?
-107
Convert 0 (base 4) to base 6.
0
What is 11212 (base 3) in base 9?
155
What is -9 (base 13) in base 9?
-10
What is 16 (base 8) in base 10?
14
62 (base 9) to base 16
38
100 (base 2) to base 9
4
-b (base 15) to base 14
-b
26 (base 10) to base 7
35
0 (base 12) to base 2
0
Convert -100 (base 2) to base 9.
-4
Convert 322 (base 5) to base 15.
5c
Convert 101 (base 2) to base 4.
11
What is 6 (base 11) in base 3?
20
What is 202 (base 6) in base 7?
134
Convert -46 (base 7) to base 12.
-2a
56 (base 10) to base 6
132
-1120 (base 3) to base 14
-30
What is 29 (base 12) in base 5?
113
What is 102122 (base 3) in base 16?
13a
What is -1 (base 3) in base 6?
-1
-9 (base 16) to base 13
-9
-11 (base 3) to base 7
-4
What is -b (base 16) in base 3?
-102
Convert 3 (base 11) to base 9.
3
6 (base 9) to base 4
12
What is 1 (base 10) in base 5?
1
46 (base 16) to base 5
240
Convert 1 (base 6) to base 11.
1
Convert -3 (base 4) to base 13.
-3
-14 (base 5) to base 4
-21
6 (base 16) to base 10
6
-35 (base 7) to base 15
-1b
What is 1 (base 9) in base 6?
1
22 (base 4) to base 15
a
Convert 3 (base 15) to base 13.
3
Convert 1 (base 11) to base 16.
1
Convert -106 (base 10) to base 9.
-127
-2 (base 5) to base 3
-2
-7 (base 10) to base 8
-7
Convert 30 (base 15) to base 4.
231
-10001 (base 4) to base 16
-101
351 (base 9) to base 5
2124
What is 4 (base 13) in base 2?
100
What is -18 (base 15) in base 14?
-19
What is -3 (base 6) in base 10?
-3
Convert 100010 (base 2) to base 6.
54
Convert -4 (base 5) to base 11.
-4
Convert -111 (base 3) to base 13.
-10
440 (base 6) to base 15
b3
Convert -20 (base 3) to base 12.
-6
What is -9 (base 11) in base 8?
-11
21 (base 5) to base 8
13
Convert 53 (base 12) to base 9.
70
Convert 1 (base 12) to base 14.
1
Convert 12 (base 16) to base 8.
22
Convert 1 (base 2) to base 14.
1
-12 (base 8) to base 4
-22
Convert -87 (base 16) to base 11.
-113
Convert -100000 (base 2) to base 13.
-26
What is 100 (base 4) in base 11?
15
What is b1 (base 12) in base 13?
a3
What is 6 (base 11) in base 2?
110
Convert -1 (base 15) to base 9.
-1
Convert -11 (base 15) to base 3.
-121
-54 (base 6) to base 10
-34
What is 11 (base 16) in base 9?
18
What is 1 (base 2 | {
"pile_set_name": "DM Mathematics"
} |
311?
1
What is the thousands digit of 26648?
6
What is the hundreds digit of 13717?
7
What is the units digit of 56321?
1
What is the units digit of 3823?
3
What is the units digit of 7601?
1
What is the tens digit of 5560?
6
What is the hundreds digit of 17097?
0
What is the units digit of 845?
5
What is the units digit of 221?
1
What is the thousands digit of 2567?
2
What is the units digit of 4957?
7
What is the hundreds digit of 2077?
0
What is the units digit of 307?
7
What is the ten thousands digit of 20873?
2
What is the thousands digit of 5365?
5
What is the thousands digit of 35878?
5
What is the hundreds digit of 409?
4
What is the hundreds digit of 5027?
0
What is the hundreds digit of 367?
3
What is the tens digit of 17351?
5
What is the units digit of 1669?
9
What is the hundreds digit of 15114?
1
What is the ten thousands digit of 13086?
1
What is the tens digit of 2562?
6
What is the units digit of 3232?
2
What is the hundreds digit of 3069?
0
What is the hundreds digit of 7680?
6
What is the hundreds digit of 47311?
3
What is the thousands digit of 28440?
8
What is the ten thousands digit of 25722?
2
What is the hundreds digit of 952?
9
What is the units digit of 9873?
3
What is the units digit of 3141?
1
What is the tens digit of 46635?
3
What is the ten thousands digit of 77467?
7
What is the thousands digit of 9341?
9
What is the tens digit of 681?
8
What is the hundreds digit of 25972?
9
What is the thousands digit of 57981?
7
What is the hundreds digit of 59511?
5
What is the ten thousands digit of 40847?
4
What is the thousands digit of 39103?
9
What is the ten thousands digit of 13133?
1
What is the units digit of 8?
8
What is the units digit of 2306?
6
What is the units digit of 1972?
2
What is the hundreds digit of 568?
5
What is the tens digit of 6292?
9
What is the units digit of 10741?
1
What is the tens digit of 3807?
0
What is the units digit of 1074?
4
What is the tens digit of 8521?
2
What is the tens digit of 474?
7
What is the ten thousands digit of 38214?
3
What is the thousands digit of 65481?
5
What is the hundreds digit of 3084?
0
What is the hundreds digit of 2843?
8
What is the units digit of 3630?
0
What is the units digit of 53387?
7
What is the tens digit of 37?
3
What is the thousands digit of 1957?
1
What is the units digit of 799?
9
What is the thousands digit of 33206?
3
What is the ten thousands digit of 50197?
5
What is the units digit of 19537?
7
What is the hundreds digit of 45113?
1
What is the units digit of 131?
1
What is the units digit of 2613?
3
What is the hundreds digit of 754?
7
What is the units digit of 172264?
4
What is the units digit of 1440?
0
What is the ten thousands digit of 21651?
2
What is the tens digit of 1710?
1
What is the thousands digit of 2063?
2
What is the tens digit of 96226?
2
What is the units digit of 32624?
4
What is the units digit of 1951?
1
What is the units digit of 1301?
1
What is the thousands digit of 1128?
1
What is the units digit of 71620?
0
What is the hundred thousands digit of 107398?
1
What is the thousands digit of 1814?
1
What is the hundreds digit of 3240?
2
What is the ten thousands digit of 112848?
1
What is the thousands digit of 1031?
1
What is the tens digit of 6446?
4
What is the hundreds digit of 23433?
4
What is the tens digit of 1086?
8
What is the hundreds digit of 44447?
4
What is the hundreds digit of 27668?
6
What is the tens digit of 22055?
5
What is the units digit of 1451?
1
What is the thousands digit of 1727?
1
What is the thousands digit of 2081?
2
What is the hundreds digit of 122?
1
What is the thousands digit of 52392?
2
What is the tens digit of 805?
0
What is the tens digit of 1206?
0
What is the units digit of 2332?
2
What is the units digit of 8768?
8
What is the hundreds digit of 592?
5
What is the units digit of 2408?
8
What is the tens digit of 231?
3
What is the tens digit of 26995?
9
What is the hundreds digit of 25053?
0
What is the units digit of 681?
1
What is the ten thousands digit of 60167?
6
What is the hundreds digit of 838?
8
What is the tens digit of 16141?
4
What is the units digit of 2300?
0
What is the thousands digit of 126533?
6
What is the tens digit of 1943?
4
What is the hundreds digit of 4395?
3
What is the tens digit of 4511?
1
What is the thousands digit of 2684?
2
What is the hundreds digit of 420?
4
What is the units digit of 977?
7
What is the hundreds digit of 2082?
0
What is the tens digit of 1332?
3
What is the hundreds digit of 3285?
2
What is the thousands digit of 10320?
0
What is the thousands digit of 2353?
2
What is the ten thousands digit of 22724?
2
What is the units digit of 2677?
7
What is the tens digit of 2265?
6
What is the ten thousands digit of 24129?
2
What is the ten thousands digit of 19908?
1
What is the hundreds digit of 2350?
3
What is the ten thousands digit of 63678?
6
What is the hundreds digit of 3239?
2
What is the hundreds digit of 27463?
4
What is the units digit of 21140?
0
What is the units digit of 8800?
0
What is the units digit of 19359?
9
What is the thousands digit of 5816?
5
What is the hundreds digit of 7207?
2
What is the tens digit of 3063?
6
What is the tens digit of 2724?
2
What is the units digit of 6637?
7
What is the tens digit of 2938?
3
What is the tens digit of 1681?
8
What is the units digit of 1055?
5
What is the hundreds digit of 5946?
9
What is the units digit of 9687?
7
What is the thousands digit of 2642?
2
What is the hundreds digit of 9570?
5
What is the hundreds digit of 60212?
2
What is the hundreds digit of 19003?
0
What is the thousands digit of 101358?
1
What is the hundreds digit of 1410?
4
What is the units digit of 1125?
5
What is the units digit of 4364?
4
What is the units digit of 1065?
5
What is the thousands digit of 99866?
9
What is the units digit of 19417?
7
What is the hundreds digit of 542?
5
What is the units digit of 22547?
7
What is the ten thousands digit of 67981?
6
What is the tens digit of 24589?
8
What is the units digit of 220?
0
What is the units digit of 607?
7
What is the hundreds digit of 2889?
8
What is the hundreds digit of 7291?
2
What is the thousands digit of 31383?
1
What is the ten thousands digit of 103581?
0
What is the thousands digit of 6152?
6
What is the thousands digit of 17546?
7
What is the hundreds digit of 10804?
8
What is the hundreds digit of 1093?
0
What is the units digit of 5548?
8
What is the tens digit of 1818?
1
What is the hundreds digit of 19925?
9
What is the thousands digit of 79139?
9
What is the thousands digit of 1093?
1
What is the hundreds digit of 124?
1
What is the units digit of 27553?
3
What is the hundreds digit of 1878?
8
What is the units digit of 2694?
4
What is the thousands digit of 1086?
1
What is the tens digit of 7629?
2
What is the units digit of 530?
0
What is the thousands digit of 5857?
5
What is the units digit of 300?
0
What is the hundreds digit of 2522?
5
What is the tens digit of 4580?
8
What is the tens digit of 20?
2
What is the units digit of 6351?
1
What is the hundreds digit of 59659?
6
What is the tens digit of 8637?
3
What is the tens digit of 1438?
3
What is the tens digit of 2709?
0
What is the tens digit of 588?
8
What is the units digit of 4816?
6
What is the hundreds digit of 16894?
8
What is the thousands digit of 12168?
2
What is the hundreds digit of 973?
9
What is the units digit of 55694?
4
What is the tens digit of 408?
0
What is the thousands digit of 2837?
2
What is the hundreds digit of 316?
3
What is the tens digit of 690?
9
What is the thousands digit of 6536?
6
What is the thousands digit of 52718?
2
What is the hundreds digit of 4501?
5
What is the hundreds digit of 16617?
6
What is the units digit of 500?
0
What is the hundreds digit of 167524?
5
What is the hundreds digit of 1249?
2
What is the hundreds digit of 2193?
1
What is the units digit of 574?
4
What is the hundreds digit of 2743?
7
What is the units digit of 106?
6
What is the thousands digit of 1853?
1
What is the hundreds digit of 249?
2
What is the hundreds digit of 6182?
1
What is the thousands digit of 8655?
8
What is the tens digit of 119?
1
What is the hundreds digit of 138?
1
What is the tens digit of 933?
3
What is the hundreds digit of 2477?
4
W | {
"pile_set_name": "DM Mathematics"
} |
Let u be (-1463)/76 + (-1)/(-4). Let n be l(u). Give y(n).
-12
Let s(l) = l + 7. Let o(h) be the second derivative of -h**3/3 - 13*h**2 + 32*h. Let v be o(-10). What is s(v)?
1
Let f(x) = x**3 + 12*x**2 - 20*x - 19. Suppose 0 = -14*s - 143 - 78 + 39. What is f(s)?
72
Let f(s) = -2*s**2 + 9*s + 549. Let i be f(19). Let k(y) = 41*y + 94. Calculate k(i).
12
Let h = -7581 - -7583. Let l(y) = 3*y**2 - y - 5. Calculate l(h).
5
Let m = -370 - -378. Suppose m*h + 0*h - 8 = 0. Let f(w) = 2*w**3 + 2*w**2 - w. What is f(h)?
3
Let f(c) = -c**3 + 4*c**2 + 2*c + 2. Let j = -8589 - -8589. Calculate f(j).
2
Let v(l) = l**2 + l. Let f(k) = -k - 1. Let w(g) = 6*f(g) + v(g). Let p be 80/14 - 30/(-105). Let d be ((-5)/p)/((-4)/24). Determine w(d).
-6
Let w(m) = -2*m**2 + 4*m - 1. Let d(q) = -2*q**2 - 3*q + 1. Let k(x) = 4*d(x) + 3*w(x). Let r = 5 - 6. Let o be 0 + 0 + r + 2. Determine k(o).
-13
Let l(b) = b**3 - 5*b**2 - 4*b + 1. Let w(p) = -2*p**3 + 5*p**2 + 10. Let o be w(0). Let t(g) = -21*g + 215. Let n be t(o). Determine l(n).
-19
Let r(p) = -p**3 + 7*p**2 - 2*p + 10. Suppose 14*l - 17*l + 9 = 0. Let w be ((-9)/(-6))/(9/240). Let t be 3 + w/(-15) + 20/l. What is r(t)?
-4
Suppose 10 = b - 6*b + 2*v, 4*b + 4*v - 20 = 0. Let k(o) = o**3 - o**2. Let z be k(b). Let r(c) = -9*c - 5 + 4*c**2 - 4*c**2 - c**2 + z*c. What is r(-6)?
13
Suppose 145 = 3*y + 142. Let t(c) = 8*c**3 - c**2 - 5*c + 5. Determine t(y).
7
Let a(t) = t**2 + 11*t - 12. Suppose -4 = -5*x + 4*d, -2*x = -5*d + 2 - 7. Suppose -h - 5*r + 11 = 3, x = 4*h - 4*r + 64. Calculate a(h).
0
Let i = 71 + -71. Suppose i = 3*b + 9, -4*l + 3 = 5*b + 2. Let h(t) = -2*t**2 + t**3 + t**2 - 8*t + 9 + l*t**2 + 3*t**2. What is h(-7)?
16
Let u = -12 + 20. Let p(b) = -2*b**2 - 74*b + 1. Let m(s) = 9*s**2 + 382*s - 15. Let w(z) = -m(z) - 5*p(z). Calculate w(u).
-22
Let s(q) = -162302871 + 162302871 + q**2. Let p = -8 + 5. Give s(p).
9
Let y(u) = 22*u**3 + 37*u**2 - 34*u + 85. Let j(i) = 7*i**3 + 13*i**2 - 12*i + 30. Let g(r) = -17*j(r) + 6*y(r). What is g(1)?
14
Let h(f) be the second derivative of 0 + 16*f + 0*f**3 - f**2 + 1/12*f**4. Calculate h(2).
2
Let z(u) = -u**3 - 11*u**2 - 10*u - 13. Let r be (-15912)/1599 - 10/205. Calculate z(r).
-13
Let c(g) = -g**3 - 5*g**2 + 7*g + 1. Let x(r) = -r**2 + 10*r - 16. Let f be x(3). Suppose -2*t + j - 19 + 6 = 0, -4*t = -f*j + 29. Determine c(t).
-5
Let z(b) be the second derivative of -b**5/20 + b**4/12 - b**2/2 - 2676*b. Give z(-2).
11
Suppose -24 = u + 2*u. Let c(s) be the second derivative of -s**4/12 - 5*s**3/6 + 8*s**2 + 245*s. Calculate c(u).
-8
Let t(f) = f**3 - f**2 - 3*f + 41. Let u(p) = p**3 - 48 - 4*p + 4*p**3 + 251 - 6*p**2 - 12*p. Let a(c) = 11*t(c) - 2*u(c). Give a(0).
45
Suppose 4724*v - 4733*v + 72 = 0. Let a(x) = -2*x - 22. What is a(v)?
-38
Let s(q) = q - 13. Let o be s(23). Let x(n) = o*n + 166*n**2 + 161*n**2 - 326*n**2. What is x(-9)?
-9
Let f(t) = -15 - t**2 + 12*t + 4*t**2 - 4*t**2. Let l = -449 - -1655. Let g = l + -1196. Calculate f(g).
5
Suppose 0 = -p + 3*h + 88, 4*p + 3*h - 370 + 63 = 0. Suppose 91 = 3*c - 2*r, r = 1 - 6. Suppose c = -p*a + 82*a. Let l(i) = -i**2 + 9*i - 3. Calculate l(a).
-3
Let s(o) = -7*o**2 - 9*o + 11. Let l(d) = -d**2 - d - 1. Let f(t) = -7*t**2 - 9*t + 2. Let k(g) = f(g) - 4*l(g). Let p(j) = -11*k(j) + 6*s(j). What is p(-1)?
-10
Let u(a) = a**2 - 9*a - 1. Let w be 13/((-728)/(-3928)) + 1/(-7). Suppose -w*m = -65*m - 50. Give u(m).
9
Let g(z) = 7 + 6 - 730*z**2 + 732*z**2 - 16*z. Let r(q) = -q**2 + q + 1. Let i(a) = -g(a) - 3*r(a). Give i(-14).
-2
Let l(q) = -41528*q - 37 + 41535*q - 35. Calculate l(10).
-2
Suppose -12*o - 80 = -4*o - 256. Let y(g) = -g**2 + 23*g - 16. What is y(o)?
6
Let a(p) = -13*p - 62. Let h = 2892 + -2898. Calculate a(h).
16
Suppose -3365 = -26*l - 3391. Let j(g) = -7*g**2 - 2*g - 2. Determine j(l).
-7
Suppose 0 = 5*t + 52 - 17. Let x = 12 + -8. Let c = t + x. Let b(d) = -d**2 - 3*d - 1. Calculate b(c).
-1
Let n = -4 + 7. Let h be (-12 - -16)/((-16)/4). Let v = n + h. Let f(a) = -2*a**2 + a + 1. Calculate f(v).
-5
Let s be 2/(6/5)*3. Let c(x) = -3 - x + s + 5. Let v = 417 + -407. Give c(v).
-3
Let l(u) = 28*u - 292. Let n be l(23). Suppose -23*k - n = 21*k. Let p(z) = -z**2 - 9*z - 1. Determine p(k).
7
Let d(l) = 5*l - 2. Let q(r) = 25*r - 9. Let n(g) = -11*d(g) + 2*q(g). Let w be 2/6 - 18/54. Let v be -2 - -5 - (1 - w)*0. Give n(v).
-11
Let p(n) = 884*n + 8. Let k be p(0). Let r(a) = -a**2 + 2*a + 49. Determine r(k).
1
Let b be 18/(-63) - 814/(-7). Let y = 116 - b. Let u(r) be the second derivative of -r**3/6 - 15*r**2/2 - 3*r. Give u(y).
-15
Let p(k) be the first derivative of k**4/2 + k**2/2 + 6. Let c be p(-1). Let l(n) = 2*n**2 + 3*n. Let r(i) = -i**2 - 1. Let m(o) = l(o) + r(o). Give m(c).
-1
Let x(l) = -8*l**3 - l**2 + 1. Let g(u) = -8*u - 14. Let z be g(-2). Suppose -2*w - 3*m + 5 = 7, -1 = w - z*m. Determine x(w).
8
Let i(f) = 3*f + 2447 - 2*f + 3*f - 2454. Determine i(-5).
-27
Let r(m) be the first derivative of -11*m**2/2 - 2*m + 343. Let d(x) = x**2 + 16*x - 15. Let f be d(-17). Calculate r(f).
-24
Let t(y) be the first derivative of -3*y**2 + 85. Let l = -369 - -364. Determine t(l).
30
Suppose 12 = 2*p + h - 26, -3*p + 2*h + 64 = 0. Let x(u) = -2*u + 14 - 10 + p. Let s be x(9). Let q(v) = v**2 - 8*v + 9. Calculate q(s).
-3
Let x(z) = -6*z**3 + 2*z**2 - 4. Suppose -10*p + 11 = -14 + 5. Give x(p).
-44
Let p(r) be the third derivative of -7*r**4/24 + 8*r**3/3 - r**2 - 1626. What is p(3)?
-5
Let m(p) = -2*p**2 - 28*p + 6. Let k(u) = 6*u**2 + 59*u - 14. Let v(d) = -3*k(d) - 7*m(d). Calculate v(4).
12
Suppose 5*r = 2*s - 74, -r + 40 = -4*r - s. Let w(t) = -9*t**2 + 34*t + 71. Let l(o) = 38*o**2 - 140*o - 297. Let m(k) = -5*l(k) - 21*w(k). Give m(r).
-6
Let c(k) = k**2 - 9*k + 1. Suppose -4*r = 4*z + 8, r - 18 + 26 = -2*z. Calculate c(r).
-19
Let w = -2972 + 2980. Let d(i) = -i**2 + 11*i + 13. What is d(w)?
37
Suppose -x + 2*x - 15 = 5*w, 3*x = 15. Let h(r) be the third derivative of r**4/4 + 8*r**3/3 + 7508*r**2. What is h(w)?
4
Let s(k) = -2*k**2 + 4*k - 3. Let y(h) = -19*h + 114. Let f be y(11). Let x = -92 - f. Calculate s(x).
-9
Let z(j) = -j**3 + 13*j**2 - 13*j + 16. Let t(u) = 5*u - 18. Let a be t(6). Let r be z(a). Let c(m) = m + 1. Calculate c(r).
5
Let p(k) = -k**2 - 13*k - 14. Let u = 187 - 79. Let t = -120 + u. Give p(t).
-2
Let j(z) = z**2 + 9*z + 10. Suppose 5*t = -2*y + 2, 7*t + 20 = 11*t - 3*y. Suppose -5*r = 2 + 3, -4*r - 13 = w. Let m = t + w. Determine j(m).
-4
Let n be (-82)/(-123)*(1 + 2). Suppose w + i - 3 = 0, -5*i = -3*w + 9 - 0. Let h(u) = w*u - u - 9*u + 4 + u**n. Calculate h(7).
4
Let z(s) = 5*s**2 - 4*s - 22. Let k = -27741 - -27737. What is z(k)?
74
Suppose 48*l - 5*l = -76*l + 357. Let r(a) = -a**3 + a**2 + 5*a + 3. Give r(l).
0
Let w(z) = 4*z**2 + 42*z + 5. Let i(p) = -9*p**2 - 97*p - 11. Let y(o) = -2*i(o) - 5*w(o). Give y(-7).
11
Let k(m) = -m**2 + 3*m - 1. Let r(n) = -n**3 + 2*n**2 - 4*n - 14. Let u be r(-2). Suppose -19 = -2*l - 11, v + 2*l = u. Determine k(v).
1
Let g(q) be the second derivative of -7*q**4/12 - 13*q**3/3 + 19*q**2/2 + 2*q + 2912. Determine g(-4).
11
Let o be 40/(-880)*-418 - (-1 - -3). Let t(n) = n**3 - 14*n**2 - 45*n - 94. Give t(o).
8
Let a(q) = -6*q**2 - q. Let u(s) = -29*s**2 - 9*s + 1. Let c be ((-204)/(-306))/((-4)/3 + 2). Let z(o) = c*u(o) - 5*a(o). Give z(2).
-3
Let i(b) be the third derivative of b**3 - 1/12*b**4 - 2 - 14*b**2 + 0*b. Calculate i(7).
-8
Let j(l) = 5*l**3 - 4*l**2 + 3*l - 5. Suppose 5*b - 51 = -3*u, -u + 4*b - 7 = 3*b. Calculate j(u).
25
Let a(l) = -l + 54. Let c(s) = -168. Let p(r) = -6*a(r) - 2*c(r). Give p(7).
54
Let p(m) = 3*m + 13. Suppose 2*t + 308*l - 304*l - 40 = 0, 0 = t + 4*l - 28. Calculate p(t).
49
Let y(k) = 19364*k**3 + 31*k + 16 - 7*k**2 - 9652*k**3 - 9713*k**3. Give y(-10).
6
Let i(c) = -3*c + 1. Let g(m) = -3*m**2 + 21*m. Let y be g(7). Calculate i(y).
1
Let s(v) be the third derivative of -v**6/120 - 17*v**5/30 + 31*v**4/24 - 139*v**3/6 + 3*v**2 + 2*v + 750. What is s(-35)?
1
Suppose 13*p = -p - 23*p. Let f(j) be the second derivative of j**6/360 - j**4/12 + 7*j**3/6 - 4*j. Let q(t) be the second derivative of f(t). Give q(p).
-2
Let t(v) be the third derivative of -v**5/30 - v**4/2 + 8*v**3/3 + 5*v**2 | {
"pile_set_name": "DM Mathematics"
} |
**5 + 14*d**5 - 66*d**2 + 19*d**5 + 12*d**4 - 42*d**2 - 44*d**5.
3*d*(d - 3)**2*(d + 3)*(d + 7)
Let o be (37 + (-4 - -1))*(-206)/(-1751). Determine u so that 0 - 10*u + 19/2*u**2 - 1/2*u**o + u**3 = 0.
-4, 0, 1, 5
Let z(p) be the third derivative of -p**5/720 + 331*p**4/96 + 497*p**3/36 - 514*p**2. Factor z(h).
-(h - 994)*(h + 1)/12
Let z = 206731/1240404 + 1/413468. Factor 0 + 1/6*d**3 + 5/2*d + 17/6*d**2 - z*d**4.
-d*(d - 5)*(d + 1)*(d + 3)/6
Find y, given that -95 + 14*y**3 + 162*y - 55*y - 1 + 488*y**2 - 4*y**3 + 275*y = 0.
-48, -1, 1/5
Let d(b) = -2*b + 76. Let x be ((-72)/7)/(10/(-35)). Let c be d(x). Let 0 + 6/5*k**c + 0*k + 4/5*k**2 + 2*k**3 = 0. Calculate k.
-1, -2/3, 0
Suppose 1315 = -l + 17*j - 15*j, 0 = 5*l - 5*j + 6550. Let m = l - -6527/5. Suppose -26/5*x + 28/5 - m*x**2 = 0. Calculate x.
-14, 1
Let h(l) be the first derivative of l**7/924 + l**6/990 - l**5/33 - 2*l**4/33 + l**3 + 5*l**2/2 - 53. Let n(r) be the third derivative of h(r). Factor n(v).
2*(v - 2)*(v + 2)*(5*v + 2)/11
Let u(k) = -k**2 + 14*k + 23. Suppose 6*q + 56 = 10*q. Let c be u(q). Factor 35*x**2 - c*x**5 + 5*x + 77*x**4 + 75*x**3 + 43*x**5 - 12*x**4.
5*x*(x + 1)**3*(4*x + 1)
Find u, given that 0 + 2/7*u**3 + 634/7*u**2 + 0*u = 0.
-317, 0
Let p = 421 + -325. Solve -3*h**2 - 93*h**4 + 198*h**4 - 15*h - 6 + 15*h**3 - p*h**4 = 0 for h.
-1, -2/3, 1
Let q(h) = 37*h**2 - 124*h + 43. Let x be q(3). Suppose -3/7*p**2 + 3/7*p**x - 3/7*p**3 + 3/7*p + 0 = 0. What is p?
-1, 0, 1
Let j be 1*18 + (-2 - -1) + 2. Factor 14 + 61 - j + 36*n + 4*n**2.
4*(n + 2)*(n + 7)
Let z(c) be the second derivative of -c**5/30 + c**4/2 - 5*c**3/3 + 21*c**2/2 + 36*c - 2. Let u(q) be the first derivative of z(q). Factor u(w).
-2*(w - 5)*(w - 1)
Factor 1/4*t**4 - 45/4*t + 43/4*t**2 - 11 + 45/4*t**3.
(t - 1)*(t + 1)**2*(t + 44)/4
Let 0 + 64/13*h - 10*h**2 + 68/13*h**3 - 2/13*h**4 = 0. What is h?
0, 1, 32
Determine t, given that 1366/3*t**3 - 2888/3*t + 25*t**4 - 532*t**2 + 1/3*t**5 + 0 = 0.
-38, -1, 0, 2
Let k(b) be the first derivative of -b**3/2 - 57*b**2 - 2166*b + 225. Factor k(x).
-3*(x + 38)**2/2
Let w(p) be the second derivative of -2*p + 1/105*p**7 + 3/5*p**4 - 9/5*p**3 + 13/25*p**5 - 27/5*p**2 + 6 + 3/25*p**6. Factor w(m).
2*(m - 1)*(m + 1)*(m + 3)**3/5
Let b(x) be the first derivative of -17*x**5/10 + 101*x**4/16 - 65*x**3/12 - x**2/4 - 387. Let b(r) = 0. What is r?
-1/34, 0, 1, 2
Suppose -1089 = -19*i + 10*i. Let t be (11/i)/((-1)/(-4)). Let 6/11*s**2 + 2/11*s**3 + 0 + t*s = 0. Calculate s.
-2, -1, 0
Let u(k) = 4*k**2 - 56*k. Let h(c) = -c**2 + 14*c. Suppose -3*s + 4*l = -2, -4 = -4*s - l + 5. Let p(y) = s*u(y) + 9*h(y). Let p(q) = 0. What is q?
0, 14
Let b(o) be the second derivative of 3*o**5/100 + 5967*o**4/20 + 11868363*o**3/10 + 23606174007*o**2/10 - 1005*o. Let b(n) = 0. Calculate n.
-1989
Suppose 200*r = 192*r - 24. Let n be r/27*(-12 + 9). Suppose -s + n*s**3 + 0*s**2 - 2/3 = 0. Calculate s.
-1, 2
Let q(l) be the second derivative of l**8/1680 - l**7/420 - 7*l**6/360 - l**5/30 - 17*l**3/6 + 55*l. Let f(p) be the second derivative of q(p). Factor f(r).
r*(r - 4)*(r + 1)**2
Let g(u) be the first derivative of -7*u**4/6 - 8*u**3/3 + 4*u**2/3 - 162. Factor g(r).
-2*r*(r + 2)*(7*r - 2)/3
Let t be (-3 + 5/(-225)*-109)*3. Let k = t - -524/285. Solve -4/19*z**2 + 22/19*z**3 - 24/19*z + 16/19 - 12/19*z**4 + k*z**5 = 0.
-1, 1, 2
Suppose 852*y = 816*y + 65 + 43. Let g(n) be the second derivative of 12/11*n**2 - 3/55*n**5 - 1/165*n**6 - 3/22*n**4 + 4/33*n**y - 16*n + 0. Solve g(h) = 0.
-3, -2, 1
Let g be ((-66)/12 + 5)*160/(-4). Find q such that -g*q + 81*q + 5*q**2 - 36*q + 20 = 0.
-4, -1
Let y be (-738)/(-156) + 18/(-78). Find h such that -27/2 + y*h - 3/8*h**2 = 0.
6
Factor 4/3*y**2 + 124/3 - 128/3*y.
4*(y - 31)*(y - 1)/3
Let t = 17 - 37. Let a be 7/2 - 10/t. Find y such that -10 + 15*y**4 + 2*y**2 - 20*y + 0*y**a - 5*y - 7*y**2 + 25*y**3 = 0.
-1, -2/3, 1
Let b = -1930 + 3210. Let 3907*p + 3758*p - 7825*p + 5*p**2 + b = 0. What is p?
16
Factor -1/3*j**5 + 0*j**4 + 0 + 1/3*j**3 + 0*j + 0*j**2.
-j**3*(j - 1)*(j + 1)/3
Let v(y) be the third derivative of 0*y - 1 - 1/240*y**6 - 1/30*y**5 + 141*y**2 + 1/48*y**4 + 1/3*y**3. Let v(q) = 0. Calculate q.
-4, -1, 1
Suppose 0 = l + 3*b + 33 + 128, 0 = 3*b - 3. Let w = 822/5 + l. Determine c so that -98/5 - w*c**2 - 28/5*c = 0.
-7
Find t such that 11320/3*t - 8008900/3 - 4/3*t**2 = 0.
1415
Let m be (491 + -495)/((7/9)/(2*2/(-24))). Solve 54/7*j**2 + 6 + m*j**3 + 90/7*j = 0.
-7, -1
Let s(w) be the second derivative of 2/75*w**6 - 4 + 0*w**3 + 0*w**2 - 2/5*w**5 + 8/15*w**4 + 17*w + 2/105*w**7. Solve s(l) = 0 for l.
-4, 0, 1, 2
Let n(m) be the first derivative of m**6 + 74*m**5/65 - 274*m**4/13 - 1816*m**3/39 + 48*m**2/13 + 3532. Find p, given that n(p) = 0.
-3, -2, 0, 2/39, 4
Let a(l) = 10*l**2 + 45*l - 25. Let i be a(-5). Factor 9/2*t**3 + 27*t**4 - 42*t**2 + i + 18*t.
3*t*(6*t**2 + 5*t - 6)/2
Let m(f) be the second derivative of 0*f**3 + 0*f**2 - 23*f - 1 - 1/6*f**4 - 1/5*f**6 - 2/5*f**5. Let m(u) = 0. What is u?
-1, -1/3, 0
Let n(t) be the second derivative of t**6/120 - t**5/20 + 2*t**3/3 - 145*t**2/2 + 7*t. Let h(g) be the first derivative of n(g). Factor h(l).
(l - 2)**2*(l + 1)
Let s(d) = d**2 - 139. Let b be s(12). Let g(z) be the second derivative of -3/2*z**3 + 18*z + 3/20*z**b + 0*z**2 + 1/2*z**4 + 0. Factor g(v).
3*v*(v - 1)*(v + 3)
Suppose 3 + 97 = 153*o - 206. Let x be (2 + -4)*1/(-3). Let 1/3*b + x - 1/3*b**o = 0. Calculate b.
-1, 2
Suppose -2*u - 14 = -12, 2*n - 3 = -u. Let a(j) be the third derivative of 0*j + 17*j**n - 7/180*j**6 + 4/9*j**4 + 4/9*j**3 + 1/18*j**5 + 0. Factor a(q).
-2*(q - 2)*(q + 1)*(7*q + 2)/3
Let k be ((-65)/117)/(((-90)/(-24))/((-54)/12)). Factor -4*m**2 + k*m**3 + 10/3*m + 0.
2*m*(m - 5)*(m - 1)/3
Let z(l) be the third derivative of 28*l**2 + 0*l + 1/240*l**6 + 0*l**3 + 1/24*l**4 + 0 + 1/40*l**5. Factor z(r).
r*(r + 1)*(r + 2)/2
Let k(a) be the first derivative of -a**4 + 32*a**3 + 104*a**2 + 7969. Factor k(d).
-4*d*(d - 26)*(d + 2)
Let q be (-78)/114 - ((-132)/176 + 2/(-8)). Let j(g) be the first derivative of -13 + 2/57*g**3 - 2/19*g**2 - q*g. Factor j(y).
2*(y - 3)*(y + 1)/19
Let s be (-1)/(5/11586) - (-8)/(-10). Let n = s + 2318. Factor n + 2/7*f**2 + 2/7*f.
2*f*(f + 1)/7
Let x(d) = -3*d**3 - 2*d**2 + 37*d - 92. Let l(g) = -5*g**3 - 6*g**2 + 73*g - 170. Let a(v) = 4*l(v) - 7*x(v). Factor a(u).
(u - 4)*(u - 3)**2
Let v(c) be the third derivative of 5*c + 0*c**5 - 1/165*c**6 + 5*c**2 + 4/33*c**4 + 1/1155*c**7 + 0 - 16/33*c**3. Solve v(i) = 0.
-2, 2
Let a be -15 - 4378/(-286) - 86/364. Let m(f) be the first derivative of 4/7*f + a*f**4 + 37 - 4/7*f**2 - 1/35*f**5 + 1/7*f**3. Factor m(u).
-(u - 2)*(u - 1)**2*(u + 2)/7
Let s(d) be the second derivative of -d**7/48 + 55*d**6/288 - 7*d**5/24 - 51*d**4/4 + d + 27. Let q(z) be the third derivative of s(z). Factor q(i).
-5*(3*i - 7)*(7*i - 2)/2
Let y(k) be the second derivative of -k**7/105 - k**6/30 + k**5/30 + k**4/6 + 41*k**2/2 - k - 2. Let v(f) be the first derivative of y(f). Solve v(d) = 0.
-2, -1, 0, 1
Let i = 10521/7022 + 6/3511. Suppose -12*k**2 + i*k**3 + 30*k - 24 = 0. Calculate k.
2, 4
Suppose 626*u - 1616 = -182*u. Factor -2/7*r**u + 32/7 - 30/7*r.
-2*(r - 1)*(r + 16)/7
Suppose -3*j = -3*i - 36, -4*j + 5*j = -2*i. Suppose j*p - 6 = 18. Factor 2/3*x + 0 - 1/3*x**2 + x**4 - 4/3*x**p.
x*(x - 1)**2*(3*x + 2)/3
Let y be (280/60)/(-2 - (-329)/165). Let o = 3083/4 + y. Solve -o*r**2 - 3/2*r + 9/4 = 0.
-3, 1
Let t(s) = -s**2 - 13*s - 22. Let c(o) be the second derivative of -o**3/6 - o**2 + 5*o + 2. Let p(z) = -22*c(z) + 2*t(z). Let p(j) = 0. What is j?
-2, 0
Let t = -183805/14 + 13129. Let m(p) be the second derivative of -3/140*p**5 + 1/14*p**3 + t*p**4 + 15*p + 0 - 3/7*p**2. Factor m(x).
-3*(x - 2)*(x - 1)*(x + 1)/7
Let p(m) be the first derivative of -m**4/4 + 1333*m**3 - 5330667*m**2/2 + 2368593037*m + 6491. Factor p(d).
-(d - 1333)**3
Let i(o) be the first derivative of 13/2*o**4 + 11/5*o**5 + 16/3*o**3 + 1/6*o**6 + 0*o + 0*o**2 - 36. Solve i(g) = 0.
-8, -2, -1, 0
Find x such that -290/3 - 760/3*x**2 + 25/3*x**3 + 1025/3*x = 0.
2/5, 1, 29
Solve 0 - 7*a - 27/2*a**2 + 1/2*a**4 - 6*a**3 = 0 for a.
-1, 0, 14
Let c(i) = -70*i**2 + 17*i - 87. Let b(v) = -33*v** | {
"pile_set_name": "DM Mathematics"
} |
term of 532148, 532161, 532192, 532247, 532332?
p**3 + 3*p**2 - 3*p + 532147
What is the u'th term of 46860, 374989, 1265618, 2999997, 5859376, 10125005, 16078134, 24000013?
46875*u**3 + 4*u - 19
What is the u'th term of 184, 400, 646, 934, 1276, 1684, 2170, 2746?
2*u**3 + 3*u**2 + 193*u - 14
What is the m'th term of -202, -364, 74, 1700, 5102?
98*m**3 - 288*m**2 + 16*m - 28
What is the l'th term of -4303299, -17213227, -38729773, -68852937, -107582719, -154919119?
-4303309*l**2 - l + 11
What is the h'th term of -17087, -36466, -55845, -75224?
-19379*h + 2292
What is the w'th term of 39749, 159662, 359525, 639344, 999125, 1438874, 1958597, 2558300?
w**3 + 39969*w**2 - w - 220
What is the i'th term of -2852, -11336, -25476, -45272?
-2828*i**2 - 24
What is the c'th term of 7410, 12189, 16968, 21747, 26526?
4779*c + 2631
What is the m'th term of -2080309, -2080360, -2080411, -2080462, -2080513, -2080564?
-51*m - 2080258
What is the k'th term of 4612, 9036, 13426, 17782, 22104?
-17*k**2 + 4475*k + 154
What is the v'th term of -58871690, -117743380, -176615070?
-58871690*v
What is the z'th term of -48334, -60469, -72604, -84739, -96874?
-12135*z - 36199
What is the r'th term of 55006, 110104, 165202, 220300?
55098*r - 92
What is the r'th term of 10349, 20565, 30541, 40157, 49293, 57829, 65645, 72621?
-20*r**3 + 10356*r + 13
What is the k'th term of 45394, 181206, 407440, 724096, 1131174, 1628674?
45211*k**2 + 179*k + 4
What is the l'th term of -110202, -220295, -330388, -440481?
-110093*l - 109
What is the m'th term of -20429404, -20429400, -20429396, -20429392, -20429388?
4*m - 20429408
What is the w'th term of -78427, -78409, -78391?
18*w - 78445
What is the n'th term of -9997, -22518, -35039?
-12521*n + 2524
What is the k'th term of 112217465, 224434928, 336652391, 448869854, 561087317?
112217463*k + 2
What is the c'th term of 6443, 25761, 57917, 102881, 160623, 231113, 314321, 410217?
-5*c**3 + 6449*c**2 + 6*c - 7
What is the m'th term of -171532588, -343065175, -514597762, -686130349, -857662936, -1029195523?
-171532587*m - 1
What is the v'th term of -1282, -4491, -9638, -16729, -25770, -36767, -49726, -64653?
-v**3 - 963*v**2 - 313*v - 5
What is the z'th term of 202766, 202685, 202458, 202013, 201278?
-12*z**3 - z**2 + 6*z + 202773
What is the l'th term of 16928, 18561, 20194?
1633*l + 15295
What is the p'th term of 80603, 317279, 711739, 1263983, 1974011, 2841823?
78892*p**2 + 1711
What is the a'th term of -21906, -43793, -65690, -87603, -109538?
-a**3 + a**2 - 21883*a - 23
What is the n'th term of -2624954, -2624957, -2624960, -2624963, -2624966, -2624969?
-3*n - 2624951
What is the s'th term of -237935856, -951743423, -2141422702, -3806973693, -5948396396?
-237935856*s**2 + s - 1
What is the i'th term of -2621, -5268, -7901, -10526, -13149?
-i**3 + 13*i**2 - 2679*i + 46
What is the r'th term of -4217, -7065, -9891, -12695, -15477?
11*r**2 - 2881*r - 1347
What is the o'th term of -254678, -509705, -764710, -1019681, -1274606, -1529473?
2*o**3 - o**2 - 255038*o + 359
What is the p'th term of 2143805, 2143803, 2143789, 2143757, 2143701, 2143615?
-p**3 + 5*p + 2143801
What is the u'th term of 1922, 1503, 1114, 755, 426?
15*u**2 - 464*u + 2371
What is the r'th term of 21042, 42107, 63166, 84219, 105266?
-3*r**2 + 21074*r - 29
What is the f'th term of -5730, -9961, -14158, -18303, -22378?
3*f**3 - f**2 - 4249*f - 1483
What is the n'th term of -46195, -46752, -47675, -48958, -50595, -52580, -54907?
n**3 - 189*n**2 + 3*n - 46010
What is the w'th term of 1680, 3182, 4544, 5766, 6848, 7790?
-70*w**2 + 1712*w + 38
What is the i'th term of -37273, -148846, -334807, -595162, -929917?
-i**3 - 37188*i**2 - 2*i - 82
What is the j'th term of -91006, -366587, -825890, -1468915?
-91861*j**2 + 2*j + 853
What is the b'th term of -11071, -7972, -2799, 4454, 13793, 25224, 38753, 54386?
b**3 + 1031*b**2 - b - 12102
What is the b'th term of 203215, 198507, 193803, 189103, 184407, 179715?
2*b**2 - 4714*b + 207927
What is the s'th term of -59597, -238908, -537761, -956156, -1494093, -2151572?
-59771*s**2 + 2*s + 172
What is the t'th term of -71227, -142212, -212777, -282712, -351807, -419852, -486637?
35*t**3 - 71230*t - 32
What is the g'th term of 2704, -606, -3916, -7226?
-3310*g + 6014
What is the k'th term of -2173, -6159, -10147, -14137, -18129?
-k**2 - 3983*k + 1811
What is the v'th term of -5044, -10075, -15088, -20083, -25060?
9*v**2 - 5058*v + 5
What is the r'th term of 344849, 689728, 1034607, 1379486?
344879*r - 30
What is the q'th term of 338, 3394, 8438, 15470, 24490, 35498?
994*q**2 + 74*q - 730
What is the a'th term of 190, -6734, -18270, -34418, -55178, -80550?
-2306*a**2 - 6*a + 2502
What is the b'th term of 2602, 4817, 6640, 8065, 9086, 9697, 9892?
-b**3 - 190*b**2 + 2792*b + 1
What is the d'th term of -4961513, -9923073, -14884631, -19846187, -24807741?
d**2 - 4961563*d + 49
What is the p'th term of -13062, -26173, -39330, -52533, -65782, -79077, -92418?
-23*p**2 - 13042*p + 3
What is the s'th term of 39, -122, -329, -588, -905, -1286, -1737, -2264?
-s**3 - 17*s**2 - 103*s + 160
What is the a'th term of -31568, -136271, -310776, -555083, -869192?
-34901*a**2 + 3333
What is the m'th term of 99693, 399323, 898707, 1597845?
99877*m**2 - m - 183
What is the k'th term of -297278, -593923, -890568, -1187213?
-296645*k - 633
What is the f'th term of -2651998, -2651999, -2652002, -2652007?
-f**2 + 2*f - 2651999
What is the r'th term of -1890321, -3780610, -5670899, -7561188?
-1890289*r - 32
What is the l'th term of -111362, -112036, -112710?
-674*l - 110688
What is the w'th term of -83350, -166663, -249974, -333289, -416614?
-w**3 + 7*w**2 - 83327*w - 29
What is the r'th term of 466, 1874, 4160, 7264, 11126?
-10*r**3 + 499*r**2 - 19*r - 4
What is the i'th term of 51313881, 51313878, 51313875, 51313872, 51313869, 51313866?
-3*i + 51313884
What is the y'th term of -27845370, -55690740, -83536110, -111381480?
-27845370*y
What is the n'th term of 3497, 4366, 5357, 6470, 7705, 9062, 10541?
61*n**2 + 686*n + 2750
What is the z'th term of 758, -4608, -16104, -33736, -57510?
-z**3 - 3059*z**2 + 3818*z
What is the j'th term of 2944984, 2944976, 2944966, 2944954, 2944940, 2944924, 2944906?
-j**2 - 5*j + 2944990
What is the y'th term of 7442211, 14884424, 22326637, 29768850?
7442213*y - 2
What is the f'th term of 16738, 33420, 50100, 66778, 83454, 100128, 116800?
-f**2 + 16685*f + 54
What is the k'th term of -9793, -22723, -35665, -48625, -61609, -74623, -87673?
-k**3 - 12923*k + 3131
What is the f'th term of 11258, 11312, 11364, 11414, 11462?
-f**2 + 57*f + 11202
What is the b'th term of 28690002, 28690001, 28690000?
-b + 28690003
What is the m'th term of -4258475, -8516956, -12775441, -17033930, -21292423, -25550920, -29809421?
-2*m**2 - 4258475*m + 2
What is the k'th term of -13125, -13061, -12913, -12645, -12221, -11605, -10761?
6*k**3 + 6*k**2 + 4*k - 13141
What is the v'th term of -8430, -3945, 540, 5025, 9510, 13995?
4485*v - 12915
What is the o'th term of 98094, 98020, 97978, 97968, 97990, 98044, 98130?
16*o**2 - 122*o + 98200
What is the l'th term of 31297, 125186, 281665, 500734, 782393, 1126642?
31295*l**2 + 4*l - 2
What is the b'th term of 27838, 55701, 83660, 111715, 139866, 168113, 196456?
48*b**2 + 27719*b + 71
What is the k'th term of -1865539, -1865540, -1865537, -1865530, -1865519, -1865504?
2*k**2 - 7*k - 1865534
What is the n'th term of -285182085, -285182086, -285182087, -285182088, -285182089, -285182090?
-n - 285182084
What is the k'th term of 77333, 154586, 231697, 308594, 385205, 461458?
-12*k**3 + k**2 + 77334*k + 10
What is the u'th term of 248374785, 248374789, 248374795, 248374803, 248374813, 248374825?
u**2 + u + 248374783
What is the j'th term of 1293773, 1293768, 1293763?
-5*j + 1293778
What is the j'th term of 951376, 951388, 951400, 951412?
12*j + 951364
What is the a'th term of 4412, 4122, 3832?
-290*a + 4702
What is the j'th term of -311714, -623424, -935120, -1246796, -1558446, -1870064, -2181644, -2493180?
j**3 + j**2 - 311720*j + 4
What is the u'th term of -3875939, -3875944, -3875949?
-5*u - 3875934
What is the u'th term of -5109, -5387, -5849, -6495, -7325?
-92*u**2 - 2*u - 5015
What is the f'th term of 23764, 47727, 71 | {
"pile_set_name": "DM Mathematics"
} |
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