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et g be (-58)/(-145)*15/(-42)*-2. Which is the closest to n? (a) g (b) 0.01 (c) -1
a
Let m = -225.6 + 225.5. Let s = -0.04 + 0.34. Let o be 1 + -1 - 34/(-153). Which is the closest to m? (a) -5 (b) o (c) s
b
Let s(k) = -k**2 + k. Let v be s(0). Suppose v = -l + 5*m - 10, -l - m = 4*l - 28. Suppose -6*r - 2 = -5*r. Which is the nearest to 0.1? (a) r (b) l (c) 1/4
c
Let r = 84 - 88.17. Let m = -0.17 - r. Let l = 2 - 3. Which is the closest to l? (a) m (b) 0.4 (c) -0.5
c
Let l be ((-57)/(-4788))/((-1)/(-36)). Let g be 4/(-6) - 1/(-3). Which is the closest to g? (a) 1/3 (b) l (c) -1.7 (d) 0.1
d
Let q = 16.55 + -18.55. Which is the nearest to 0.2? (a) -8 (b) 8 (c) q (d) -2/7
d
Let p = -349/2 - -177. Let m = 19/6 - p. Suppose h + 13 = 2*z, 0 = 3*h + 2*h + z + 10. Which is the nearest to m? (a) h (b) 3 (c) -1/4
c
Let d = 1511/1010 + 2/505. Let x = 78 + -78.1. What is the nearest to 1/18 in -5, d, x?
x
Suppose 0 = -4*m - 2*t - 490 + 1590, -8 = -2*t. Let b be ((-52)/m*3)/((-20)/14). What is the nearest to 28 in b, -0.4, 0.2?
b
Let d = -1 + 13. Let t(i) = -5 - 1 - 17*i - 2 + d*i. Let q be t(-2). Which is the nearest to q? (a) -6 (b) -2 (c) 0.3
c
Let m(o) = -2*o**2 - 107*o - 483. Let l be m(-5). What is the nearest to 1/2 in 1/5, l, 0.3, -60.6?
0.3
Let s(d) = -d**3 - 5*d**2 - 5*d - 4. Let v be s(-4). Let i = 36 + v. Let j be 8/i - (-29)/(-9). Which is the nearest to -0.1? (a) j (b) 3 (c) -2/5
c
Let s = 2339 + -2341. Which is the nearest to -0.2? (a) s (b) 2 (c) 4/5
c
Let y be (96/24*3/84)/(-1). Which is the nearest to 0? (a) 0.04 (b) -0.4 (c) y (d) -22
a
Let o = -16315/11 + 1483. Which is the nearest to 2/5? (a) -2/9 (b) -0.058 (c) o (d) -5
b
Let l be 13*(-6)/(-27495)*-15. Let i = 5.6 - 6. What is the nearest to l in 0, -0.2, i?
0
Suppose 0 = -5*v + 5, 169 = 4*z + 5*v - 148. What is the nearest to z in 0.2, 2/9, -4?
2/9
Let g = 3252 - 68290/21. Suppose r + 8 = -r + q, 3*q = -2*r. Let a be (-1)/3 + (-10)/r. What is the nearest to a in g, -5/2, -4?
g
Let m = 85.2 + -7.2. Let l = 145 - m. Let q = -67.2 + l. What is the nearest to 2 in -0.5, q, -3/5?
q
Let f = -2559 + 17910/7. Which is the nearest to -15? (a) 1/5 (b) -2/7 (c) f
c
Let x = 4.94818 - -0.05182. Which is the closest to x? (a) -6 (b) -4 (c) 0.1 (d) 3/7
d
Let q = -54 - -48. Let t = 3.4 + q. Let i = 0.4 - t. What is the nearest to 0.1 in 4/3, 5, i?
4/3
Let n = -14642/7 + 2092. Which is the closest to 0.1? (a) 0.1 (b) 30 (c) n (d) -0.1
a
Let i = 1/10 - 21/110. Let o = 1634 + -1634.1. Which is the closest to 3/8? (a) 0.5 (b) i (c) o (d) 0
a
Let b = -83.9 + 84. Let j = -211 + 209. What is the nearest to b in j, -7/6, -1/3?
-1/3
Let g = 0.2684 + 0.0316. Let i = 97/33 - 36/11. Which is the nearest to -1/3? (a) -0.13 (b) g (c) i
c
Let w = -12247 - -36743/3. Which is the nearest to -60? (a) -1 (b) w (c) -0.2
a
Let i = -17.62 - -1.12. Let f = -8.8 - i. Let y = -7.3 + f. What is the closest to y in -0.1, -0.2, 1/8?
1/8
Let i = 3971 - 3972. What is the closest to 0 in -5, i, 0.1?
0.1
Let g = -4 + 3. Let m = 0.7 + g. Let r be (-1886)/4370 + (-132)/(-209). Which is the closest to r? (a) -5/3 (b) m (c) 2/23
c
Suppose -46*y = -47*y + 2*s + 51, s + 204 = 4*y. Suppose 0 = y*z + 52 - 358. Which is the closest to -0.4? (a) z (b) 1/5 (c) 2 (d) 0.1
d
Suppose 13 = 4*a - w, 20 = 2*a - 5*w - 9. Let k = -0.77 + 0.742. Let j = 0.028 + k. What is the nearest to -6 in a, 0.4, j?
j
Let w = -3420.41 + 3420. Which is the closest to 1/3? (a) -6 (b) 0.1 (c) w (d) -1
b
Let v = -0.87 + -3.13. Suppose -5*d - 14 = 46. Let u be (-10)/d + (-21)/(-126). What is the nearest to u in 4, 0.1, v?
0.1
Let f be (5/((-280)/(-96)))/((-2)/(-7)). Let z(w) = -w**3 + 6*w**2 + 5. Let a be z(f). Let u = -2/121 - 117/242. What is the nearest to u in -5, a, 2/3?
2/3
Suppose 2*g - i - 38 = -34, -4*i - 40 = 4*g. What is the closest to g in -5, 0, 160?
0
Let y(z) = -z**3 + 18*z**2 + 24*z - 94. Let m be y(19). Let s = -39 + 39.1. Which is the nearest to m? (a) 20 (b) s (c) -2
b
Let u = 1226.53 - -1.47. Let w = u + -1223.045. Let h = w - -0.045. Which is the closest to -1/2? (a) h (b) -2/17 (c) -2
b
Let w = 0.03541 - 0.03541. Let p = 11 - 6. What is the closest to 0 in p, -1/102, w?
w
Let h be (-16)/6*(1592/(-112) - 70/(-5)). Which is the closest to 0? (a) 19 (b) h (c) -4 (d) -1
b
Let h = -2.02 + 0.02. Let w be (2/(-3))/((-60)/(-11 - -21 - 19)). Suppose -f + d = -5, -4*d + 14 = -f + 34. What is the closest to f in -0.03, w, h?
-0.03
Let y = 1 - 3. Suppose 0 = -7*n + 21 + 28. Suppose -n*i - 5*i = -3*i. Which is the nearest to 1/4? (a) -0.3 (b) y (c) i
c
Let g be (23 + 2565/(-108))/((-1)/(-8) - 2). Which is the closest to 41? (a) 3 (b) -2/11 (c) g (d) -9
a
Let h = -10 - -10. Let n be (4/16)/((-2)/(-8)). Let t = 136 + -136.3. What is the closest to h in n, t, -0.5?
t
Let t = -4300/913 + 406/83. What is the nearest to -52/7 in -6, t, 2/7?
-6
Let k = 1125.3 - 1125. What is the closest to -113 in 2/13, 2/5, -0.1, k?
-0.1
Let u = -105 - -103. Let s = 1150.9 - 1151. What is the nearest to s in -5, u, 0.7?
0.7
Let f = 27.55 + -27.35. Which is the closest to -2? (a) f (b) 6 (c) -8
a
Let y = -81/11 + 416/55. Let n = 35 + -28. Which is the closest to 0? (a) y (b) n (c) 1/11
c
Let m = 138957860/2691 + -51638. Which is the nearest to m? (a) 0 (b) -2 (c) 1
a
Suppose -251 - 157 = -4*o. Let f = o - 97. Let t = 73/4 - 19. What is the nearest to t in 2, -2/9, f?
-2/9
Let w = 241.73 + -245.73. What is the closest to w in -0.7, -3, -16.2?
-3
Let b = -19482 - -19482.99. What is the nearest to 0 in 18, 2/11, b, 2/9?
2/11
Let m = 32 + -31.7. Let r = m + -3.3. Let d = -48 + 53. What is the closest to -3/4 in -4, d, r?
r
Let m = 0.8 - -0.2. Let l(w) = 2*w**2 - 44*w - 44. Suppose -25 - 136 = -7*u. Let v be l(u). What is the nearest to m in 1/6, v, -0.01?
1/6
Let n = -10938 + 10937. What is the closest to 0.36 in n, -3, 5, -1/8?
-1/8
Let f = -6.72 + 6.52. Let h be 2 - (-18)/(-7) - 0. Which is the nearest to -2/7? (a) -4 (b) h (c) f
c
Let s = -3.05 + 3.45. What is the closest to 2 in s, -19, 4/5, 0.1?
4/5
Let f = 12492 + -12492.39. Which is the nearest to -1? (a) f (b) -4 (c) -1 (d) 5
c
Let d = -2 + 3. Let m = -67 + 69. Let h = 12.05 - 12.05. What is the closest to h in m, d, 2/9?
2/9
Let i = 751 + -751.0464. Let x = 4.0464 + i. What is the nearest to 0.1 in -2/3, 0, x, -1?
0
Let g be ((6/(-8))/((-270)/(-80)))/(-2). Suppose 0*u + u = s - 7, 2*u + 6 = 0. Let v = 50 + -50.2. What is the closest to g in s, -0.3, v?
v
Let d be 18/462 - 5*18/495. What is the nearest to 0 in -8, 4/3, d, -2?
d
Let q = 121.68 + -121.88. Which is the nearest to -382? (a) q (b) 2/5 (c) -0.5
c
Let r(d) = -d**2 + 18*d + 13. Let p be r(20). Let y = -27 - p. Let z be 0 + 5 - (y + 2) - -2. Which is the closest to -1/2? (a) 1.2 (b) z (c) -0.3
c
Let c = 0.6663 + -0.5663. What is the nearest to c in 3/8, 1/4, -0.1, 0.2?
0.2
Let o = 494 - 527.7. Let b = 34.2 + o. What is the nearest to 1/13 in 3, 2, b?
b
Let p = -197.5 + 197.1. What is the nearest to -0.1 in -4, -1/11, 0, p?
-1/11
Let p = 1.35 - 3.72. Let k = p - -1.97. Let w be (3 + -2)/(3 - 5). Which is the nearest to w? (a) -2/7 (b) k (c) 0.3
b
Let h = 23.2 + -23.31. Let v = 0.03 + 0.17. What is the nearest to v in h, 2/7, 1/7?
1/7
Let i be (-72)/(-80)*36/81. Which is the closest to i? (a) -1 (b) 1/10 (c) 0.226
c
Let t = -442 - -1325/3. Let w = 19 + -75/4. What is the closest to t in w, -2/15, 2?
-2/15
Let s = 647/8 + -81. Let j = -0.1 - -0.1. Let i = 0.0789039 + -1.0789039. What is the closest to i in 2, j, s?
s
Let h = 748.43 + -748.33. Let d = 159 + -639/4. What is the closest to h in -2.9, 3/7, d?
3/7
Let r be ((-9)/(-3))/(14 + 0). Let l be 6/14*(-5 - (-170)/30). Let p = r + l. Which is the nearest to p? (a) 2/11 (b) -3/4 (c) 0.2
c
Let k be (-51)/90 - (-11)/66. Let d = 6/77 + 100/693. Which is the nearest to 0.5? (a) d (b) k (c) -0.3
a
Let k = -67 - -66. Let w = -129 + 129. What is the nearest to k in 1, w, -2/3?
-2/3
Let s be -3 + 0 + -7 + 8. Let m be 4 + s/(-8)*-10. Let z be -10 + (-1008)/(-102) - (-47)/(-34). What is the closest to -7 in z, m, -2/3?
z
Let y = 5986 - 5985.9. What is the closest to 20/7 in 3, -2/7, y?
3
Let l = -12.7 + -12
|
{
"pile_set_name": "DM Mathematics"
}
|
b when three letters picked without replacement from {d: 6, m: 4, g: 1, s: 2, b: 1, a: 4}?
1/204
Calculate prob of sequence xs when two letters picked without replacement from {s: 6, g: 3, a: 3, x: 1, d: 3, r: 1}.
3/136
Two letters picked without replacement from {a: 13, v: 5}. What is prob of sequence aa?
26/51
Calculate prob of sequence yac when three letters picked without replacement from {n: 2, e: 2, a: 1, y: 1, c: 1}.
1/210
Four letters picked without replacement from {j: 3, u: 1, v: 4, n: 2, h: 1, y: 1}. Give prob of sequence uvvj.
1/330
Four letters picked without replacement from glggggglggggg. Give prob of sequence lglg.
1/78
Calculate prob of sequence qcl when three letters picked without replacement from scqlb.
1/60
Four letters picked without replacement from {q: 1, s: 1, i: 2, f: 1, b: 2, t: 1}. Give prob of sequence ifsi.
1/840
Calculate prob of sequence lu when two letters picked without replacement from lfulfflauldladda.
1/24
What is prob of sequence pspp when four letters picked without replacement from psppssppppsspspppsp?
385/3876
Calculate prob of sequence fufr when four letters picked without replacement from ffrrrfucurruffuurur.
35/3876
Calculate prob of sequence mw when two letters picked without replacement from {w: 3, d: 1, z: 3, m: 2, h: 10}.
1/57
Four letters picked without replacement from {n: 1, h: 3, g: 10, b: 2}. What is prob of sequence bgnh?
1/728
Two letters picked without replacement from {o: 4, p: 6, b: 2, q: 4, j: 1, g: 2}. What is prob of sequence po?
4/57
Four letters picked without replacement from gfhgwwsssgshggvgg. What is prob of sequence wwvh?
1/14280
What is prob of sequence ru when two letters picked without replacement from {x: 2, r: 1, e: 1, u: 2}?
1/15
Three letters picked without replacement from {q: 3, l: 1}. Give prob of sequence qll.
0
Four letters picked without replacement from {j: 3, z: 1, y: 3, n: 3, q: 2, b: 2}. What is prob of sequence nqnn?
1/2002
Three letters picked without replacement from ohkohohhhmxmmom. Give prob of sequence oxm.
8/1365
Four letters picked without replacement from {n: 8, z: 3, r: 3, j: 4, e: 1}. Give prob of sequence rrzr.
1/5168
What is prob of sequence rocr when four letters picked without replacement from {c: 1, w: 5, r: 5, o: 8}?
5/2907
Calculate prob of sequence jao when three letters picked without replacement from jaajjoojojjojjo.
8/273
Three letters picked without replacement from bnbbn. Give prob of sequence nbb.
1/5
Two letters picked without replacement from shzenntzh. What is prob of sequence zs?
1/36
What is prob of sequence iip when three letters picked without replacement from {p: 15, i: 4}?
10/323
Two letters picked without replacement from {a: 2, f: 1, u: 1, r: 1, h: 1, d: 1}. What is prob of sequence fh?
1/42
Two letters picked without replacement from {i: 11, v: 3}. Give prob of sequence iv.
33/182
Two letters picked without replacement from {z: 9, q: 1, s: 1, f: 1}. Give prob of sequence sf.
1/132
Calculate prob of sequence dl when two letters picked without replacement from {l: 2, d: 1, g: 1, y: 2, p: 6}.
1/66
Calculate prob of sequence xrm when three letters picked without replacement from xrkddwwdwkmw.
1/1320
Calculate prob of sequence dx when two letters picked without replacement from xdxxdxpddxxdddpx.
49/240
Two letters picked without replacement from wxuuululecuuuuu. What is prob of sequence ll?
1/105
Calculate prob of sequence ubhu when four letters picked without replacement from kuuhukfkukb.
1/660
Calculate prob of sequence bbth when four letters picked without replacement from tbbhtbbbkt.
1/84
Three letters picked without replacement from affcyaftccaataca. What is prob of sequence tta?
1/280
What is prob of sequence lppp when four letters picked without replacement from iapapipvaaalppapi?
1/476
Three letters picked without replacement from rrrrrrrrrrrwrrwrrrr. What is prob of sequence rrr?
40/57
Four letters picked without replacement from {h: 3, p: 2, r: 6, f: 1, i: 2}. Give prob of sequence phif.
1/2002
Four letters picked without replacement from wwooowwwowooowwkoow. Give prob of sequence oook.
7/1292
Three letters picked without replacement from qqqq. What is prob of sequence qqq?
1
Four letters picked without replacement from {d: 4, y: 3, c: 1, l: 1, i: 2, u: 1}. Give prob of sequence lidu.
1/1485
What is prob of sequence kr when two letters picked without replacement from {l: 1, j: 4, r: 9, c: 1, k: 1, x: 1}?
9/272
Three letters picked without replacement from sffftmfdwstw. Give prob of sequence sfw.
2/165
Four letters picked without replacement from {a: 1, m: 3, j: 1, g: 4, w: 5, o: 3}. What is prob of sequence oaom?
3/9520
Two letters picked without replacement from {r: 3, p: 5}. What is prob of sequence pp?
5/14
Four letters picked without replacement from {k: 7, h: 9, d: 2}. Give prob of sequence khkh.
7/170
Four letters picked without replacement from {c: 18, n: 2}. Give prob of sequence nccn.
1/190
Three letters picked without replacement from {d: 4, b: 4, i: 9}. Give prob of sequence bdb.
1/85
Calculate prob of sequence we when two letters picked without replacement from {s: 2, q: 4, e: 3, w: 1, m: 2}.
1/44
Three letters picked without replacement from {g: 2, j: 2, b: 3, i: 9, r: 1}. What is prob of sequence iri?
3/170
Three letters picked without replacement from {z: 7, d: 6, j: 1}. Give prob of sequence ddd.
5/91
Four letters picked without replacement from {p: 4, t: 1, s: 2, o: 4, h: 7, c: 1}. Give prob of sequence topp.
1/1938
Calculate prob of sequence ffff when four letters picked without replacement from {f: 7}.
1
Three letters picked without replacement from {e: 1, q: 1, s: 1, i: 1, w: 1}. Give prob of sequence sew.
1/60
Four letters picked without replacement from {w: 2, k: 1, i: 2, n: 7, j: 1, e: 1}. Give prob of sequence einj.
1/1716
Four letters picked without replacement from {w: 2, m: 2, z: 1, f: 2, x: 1}. Give prob of sequence wwfz.
1/420
Three letters picked without replacement from {y: 5, n: 6, u: 3, g: 2, e: 2}. Give prob of sequence nge.
1/204
What is prob of sequence ot when two letters picked without replacement from oqctcbj?
1/42
Two letters picked without replacement from {r: 1, d: 2, m: 1, e: 1, q: 2, v: 1}. Give prob of sequence qm.
1/28
Calculate prob of sequence yyyy when four letters picked without replacement from yyyyy.
1
Calculate prob of sequence kkll when four letters picked without replacement from lklllllkkklkk.
21/286
Calculate prob of sequence eeoo when four letters picked without replacement from opeoe.
1/30
What is prob of sequence tt when two letters picked without replacement from {t: 2, b: 12, f: 5}?
1/171
What is prob of sequence pf when two letters picked without replacement from {k: 9, e: 6, p: 1, f: 2}?
1/153
Calculate prob of sequence quuh when four letters picked without replacement from {i: 1, h: 1, u: 2, q: 2, o: 1}.
1/210
Three letters picked without replacement from {t: 2, r: 6, j: 9}. What is prob of sequence rrr?
1/34
What is prob of sequence lgvv when four letters picked without replacement from lllllgvggglgllg?
0
Three letters picked without replacement from {s: 5, u: 1, n: 7, v: 1}. Give prob of sequence uss.
5/546
Two letters picked without replacement from {b: 4, r: 16}. What is prob of sequence bb?
3/95
What is prob of sequence ooww when four letters picked without replacement from {l: 4, w: 4, h: 3, o: 7}?
7/1020
Four letters picked without replacement from oxhjoxzhoo. What is prob of sequence jhxh?
1/1260
Calculate prob of sequence qaaa when four letters picked without replacement from {h: 1, q: 1, a: 13}.
11/210
Calculate prob of sequence ffo when three letters picked without replacement from wwwowwwoffww.
1/330
What is prob of sequence cn when two letters picked without replacement from ncczccoz?
1/14
Three letters picked without replacement from {w: 11, m: 5}. What is prob of sequence www?
33/112
What is prob of sequence zfzz when four letters picked without replacement from {z: 8, f: 1, o: 8}?
1/170
Three letters picked without replacement from {w: 5, c: 5, n: 4}. Give prob of sequence ncn.
5/182
What is prob of sequence cs when two letters picked without replacement from cstttbstbsthhtss?
1/48
Four letters picked without replacement from {x: 5, c:
|
{
"pile_set_name": "DM Mathematics"
}
|
2 + 3 - 18*b - 3*b + 6*b. Let l(o) = 4*o - 1. Let j(m) = 9*l(m) + 2*q(m). Calculate j(-1).
-5
Let w(g) = 2*g - 4. Let j be (1/3)/(1/6). Let d = 7 - 5. Suppose -z + d = -j*q + 2*z, 5*q - 4*z - 9 = 0. Calculate w(q).
6
Let p = -43 - -32. Let y(q) = q**2 + 9*q - 16. Determine y(p).
6
Let z be (-4)/(8/18 + 2/9). Let q(p) = p**3 + 7*p**2 + 6*p + 1. What is q(z)?
1
Let u(p) = 9*p**2 - 25*p + 18. Let k(q) = -4*q**2 + 12*q - 9. Let o(c) = 7*k(c) + 3*u(c). What is o(8)?
-1
Let j(r) = r**2 + 5*r + 2. Suppose 2*k - 2*b = -2*k + 10, 2*k + 2*b = 20. Suppose -3*m + 9 + 0 = -y, k*y = m - 17. Let d be 1/(-1)*-1*y. Give j(d).
-4
Let h = -47 + 50. Let x(u) be the third derivative of 0*u - 1/30*u**5 - 1/24*u**4 + u**2 + 0 + 1/120*u**6 - 1/6*u**h. Determine x(3).
5
Let u(p) = p**2 - p - 4. Suppose -j = 3*t - 18, -4 - 3 = -4*j + t. Let a(m) = -m**2 + 4*m. Let i be a(j). Suppose 0 = w + i*w. What is u(w)?
-4
Let p = 31 - 22. Suppose 33 = -4*n - 5*r, n + r + p = -n. Let q(x) be the third derivative of -x**5/30 - x**4/24 - x**3/6 - 2*x**2. Determine q(n).
-7
Let r(f) = 11*f**2 - 25*f + 23. Let s(m) = -5*m**2 + 12*m - 11. Let i(t) = -4*r(t) - 9*s(t). Calculate i(7).
0
Suppose 2*x - 3*q = 7*x - 4, -3*x - 4*q - 2 = 0. Let g(z) = -6 + 6 + z - 4*z**x + 15*z**2. Determine g(1).
12
Let r(l) = -3*l - 21. Let j(u) = 2*u + 11. Let s(n) = -5*j(n) - 3*r(n). Calculate s(7).
1
Suppose 4*z - 3 = -27. Let h(p) = -p**2 - 7*p - 6. Calculate h(z).
0
Let v be (-14)/(-8) + (-4)/(-16). Suppose -3*n - v = -5. Let c be (0 - -2) + 1 + n. Let q(y) = -y + 4. Determine q(c).
0
Let c(l) = -7194*l**2 + 7201*l**2 - 9 + l + l - l**3. What is c(7)?
5
Suppose k - 5*w - 20 = 0, -3*w = -k + 14 - 2. Let u(v) be the first derivative of -v**3/3 - 5*v + 2. Give u(k).
-5
Let x(l) = 5 + 2*l - 1 - 5 + 4. Determine x(-2).
-1
Let v(p) = -2*p**3 + 8*p**2 + 8*p + 2. Let c(x) = -3*x**3 + 9*x**2 + 9*x + 3. Let s(z) = -3*c(z) + 4*v(z). Suppose f + 8 = 4. Determine s(f).
-5
Let h(i) be the third derivative of -i**8/6720 + i**7/2520 + i**5/60 - i**4/8 - 4*i**2. Let a(n) be the second derivative of h(n). Determine a(0).
2
Suppose 4*m + 15 + 15 = 5*q, 0 = -3*q + 3*m + 21. Let w(z) = -z**3 - q*z + z - z**3 - 2*z**2. Calculate w(-1).
1
Let g(n) be the first derivative of -n**4/12 + 4*n**3/3 - 2*n**2 - n - 3. Let u(x) be the first derivative of g(x). Determine u(5).
11
Let y(i) = -i**3 + 23. Suppose 0 = o - 11*o + 3*o. Give y(o).
23
Let n(w) = 2*w**2 + 4 - 2*w**2 - 3*w - w**2. Let k(o) = -o - 6. Let a be k(-8). Suppose r + 9 = -a*r. What is n(r)?
4
Let c be 4/((-1)/((-12)/8)). Let v be (3 + 1)*1/2. Let b(r) = -r**2 + 3 - v - 3 - c*r. Determine b(-5).
3
Let p(u) = u**3 + 2*u**2 - u - 1. Suppose -l + 3*l - 6 = 0. Suppose -6 = l*w + 3. Calculate p(w).
-7
Let t = -9 - -15. Suppose 0 = 2*w - 2*n, -3*n = -w - t*n + 8. Let i(p) = -5*p - 4 - p**w + 0 + 0*p. Determine i(-3).
2
Let l be (-13)/(-2) + (-1)/2. Let s = 65 - -27. Let i(j) = s*j - 93*j - 4 + j**3 - 6*j**2 + 3. Determine i(l).
-7
Let x(r) = r**3 - 4*r**2 - 5*r + 2. Let d = 10 + 0. Suppose -3*z + 5 = -d. What is x(z)?
2
Let s be -4*(1 - (-3)/(-2)). Let c(q) = 0 - 3*q - s*q + 2. Suppose 8*i = 4*i + 8. Calculate c(i).
-8
Let x(r) = -r**2 + r + 3. Let q be (-3 - 3)*(2 - 1). Let u be 1 + 1 - (-12)/q. Calculate x(u).
3
Let m(p) = -p**3 - p**2 - p - 8. Let g = -2 - -3. Let f(r) = g - 4 + r**2 + 2. Let c be f(1). What is m(c)?
-8
Let o be 5 - (-78)/(-16) - 0. Let l(u) be the third derivative of -o*u**4 + 0 + 1/120*u**6 + 0*u + 3*u**2 - 1/2*u**3 + 1/30*u**5. Calculate l(-2).
3
Let r(t) = t**2 + 5*t + 4. Let u be r(-3). Let m(d) = -8*d + 1. What is m(u)?
17
Let i(u) = -u**2 - 7*u + 8. Let x(h) = 9*h**3 + 2*h**2 - h - 2. Let y be x(-1). Determine i(y).
0
Let j(r) be the first derivative of r**5/60 + r**4/12 - 2*r**3/3 - 3. Let y(k) be the third derivative of j(k). What is y(-3)?
-4
Suppose -17*y = -13*y - 24. Let k(c) = -c**3 + 5*c**2 + 8*c - 8. Calculate k(y).
4
Let k(x) = -x**3 - 3*x**2 + x - 2. Let n = -5 + 1. Let v = n + 1. Calculate k(v).
-5
Let o(i) be the third derivative of i**6/120 + i**5/12 + i**4/8 - i**3/6 + 6*i**2. Determine o(-3).
8
Let x(k) = -3*k**2 + 3*k - 1. Let z(q) = -2*q**2 + 4*q - 2. Let f(n) = -3*x(n) + 4*z(n). Give f(-6).
-11
Suppose -4*w = -5*k + 27, 0*w = -k - 2*w - 3. Suppose r + 0*r = 8. Let m(i) = r*i + i**3 - 2 - 5*i + 3 - 4*i**2. Calculate m(k).
1
Let w(j) = 7*j**2 + 9*j + 7. Let s(m) = 3*m**2 + 5*m + 4. Let x(u) = -5*s(u) + 2*w(u). Give x(-6).
0
Suppose 2*d + 3*v + 2*v = -41, 4*d - 5*v = -7. Let a(m) = -m**3 - 9*m**2 - 9*m - 3. Let j be a(d). Let u(b) = -b**3 + 6*b**2 - 6*b - 4. Give u(j).
-9
Let a(g) = -g**3 - 5*g**2 - g. Suppose -4*k - 35 = 3*k. What is a(k)?
5
Let y(j) = 2*j**3 + 2*j**2 + 7*j + 2. Let m(v) = v**3 + v**2 + 3*v + 1. Let i(h) = -5*m(h) + 2*y(h). What is i(-2)?
5
Let c be 1*(-3 - (-2 + -1)) + 1. Let i(q) = q - 3 - 5*q**2 + 3*q**2 + 3. Give i(c).
-1
Suppose 6 = 2*b - 2. Let o(p) = b*p + 0*p - 2*p. Calculate o(5).
10
Let n(p) = p**2 + p - 1. Suppose -72 = u + 47. Let i = 80 + u. Let b be (-1)/(-6) + i/18. What is n(b)?
1
Suppose 0 = v - 4. Suppose 3*i = v*i. Let p(w) = w + 4. Determine p(i).
4
Let i(a) = -6*a - 1. Let w(t) = -t**3 - 2*t**2 - t - 1. Let c = 16 - 17. Let x be w(c). Give i(x).
5
Let m(h) = h**2 - 4*h. Let q be m(5). Let s(b) = 0 + q*b - 4*b - 2. Calculate s(2).
0
Let k(n) = 4*n**3 + n - 1. Let l be k(1). Let a(q) = l*q + 2*q + q**2 - 2 + 7. Determine a(-6).
5
Let c(l) = -l**3 - 3*l**2 + 3*l - 2. Suppose 2*m - 4 = 2*j, -4*m - 5*j - 52 + 15 = 0. Calculate c(m).
-11
Let x(w) = -w**3 + 4*w**2 + 4*w + 3. Let b be ((-30)/4)/((-6)/32). Suppose 5*a + q + 10 = 40, -4*a - 4*q = -b. Give x(a).
-2
Let m(f) = 4*f**2 - 4*f - 1. Suppose -2*c + 4 - 2 = 0. Let w(b) = b**2 - b - 1. Let j(n) = c*m(n) - 3*w(n). What is j(0)?
2
Let h(s) = -s**2 - 3*s + 2. Let q(d) = -d**2 + 8*d - 8. Let a be q(7). Let u be (-2)/a - (0 - -7). Let k = u + 1. Calculate h(k).
-2
Let u(m) = -10*m - 8. Let g(p) = 9*p + 7. Let t(x) = 5*g(x) + 4*u(x). What is t(-2)?
-7
Let k(i) = -i**3 + 4*i**2 + 4*i - 3. Suppose 5*v + 3 - 28 = 0. What is k(v)?
-8
Suppose 0 = z - 2*j + 1, -14 = -2*z - 4*j. Suppose l = -z*l. Let v = l - -4. Let p(s) = -2*s. Determine p(v).
-8
Let r(a) = 13*a**3 - a**2 + 2*a - 1. Let s be r(1). Let p(q) = -2*q + 6*q - s*q**3 + 1 - 3*q. What is p(-1)?
13
Let k(g) be the second derivative of g**3/6 - 2*g**2 + 2*g. What is k(6)?
2
Suppose 0 = 2*a + 2*q + 12, 24 = 3*a - 8*a - 2*q. Let l(o) = -4*o - 1. What is l(a)?
15
Let u(l) be the second derivative of l**5/20 - l**4/12 + l**3/2 - l**2/2 - 12*l. Determine u(2).
9
Let s(l) be the third derivative of -l**5/60 + 11*l**2. Give s(-1).
-1
Let f(l) = -l**3 + 6*l**2 + 5*l + 10. Let k = 7 - 0. Let a be f(k). Let z(h) = -3*h + 0 + 4*h + 4. What is z(a)?
0
Let i(l) = 1 + 2*l + 6 - 3*l. What is i(4)?
3
Let i(k) be the third derivative of -k**4/12 + k**3/6 - 11*k**2. Calculate i(-2).
5
Suppose -z + 2*y = 1, -5*y + 5 = 4*z - 17. Suppose 0 = f + z*f + 20. Let d(i) = i**3 + 5*i**2 - i + 3. Determine d(f).
8
Let d(o) = 6*o. Let r = 42 + -45. Give d(r).
-18
Let o(t) = 113*t + 1 - 224*t - t**2 + 114*t. Calculate o(2).
3
Let l = -93 + 86. Let z(u) = -u**3 - 8*u**2 - 8*u - 10. Determine z(l).
-3
Let f(q) = 3*q + 4. Let l(z) = -8*z**2 + 3*z**3 - 5 + 2*z**3 - 6*z**3. Let w be l(-8). What is f(w)?
-11
Let t = -16 - -20. Let w(p) = p**2 - 5*p + 4. What is w(t)?
0
Let z(h) = 2*h**2 - 5*h - 6. Let l(a) = 2*a**2 - 4*a - 5. Let o(t) = 5*l(t) - 4*z(t). Let j = 26 - 28. Give o(j).
7
Let m(g) = g**3 - g**2. Let c = -42 + 42. What is m(c)?
0
Let q(c) = 2*c**3 + 20*c**2 + 6 - 8*c**2 + 10*c - 19*c**2 - 3*c**3. Determine q(-8).
-10
Let u(a) = -17*a**3 + a**2 + a. Suppose -9*v - 10 = -1. Determine u(v).
17
Let g(r) be the third derivative of -r**7/840 + r**6/360 + r**4/24 - r**3/3 - r**2. Let l(b) be the first derivative of g(b). What is l(-2)?
13
Let p(z) = -407*z**3 + 88*z - 88. Let l(s) = 14*s**3 - 3*s + 3. Let h(f) = -88*l(f) - 3*p(f). Calculate h(-1).
11
Let o(s) = -s**3 + 6*s**2 - 6*s + 3. Let f be o(5). Let g = -9 - -13. Let u(c) = g - 1 - 2 + 2*c + 0. Give u(f).
-3
Let f(v) = -v**3 - 4*v**2 + 7*v + 4. Suppose 10 = 5*s + 3*w - 7*w, 4*s = w + 8. Suppose -3*z = n + z + 4, -2*n = s*z + 2. Let d be (-2 + n + 7)/(-1). Give f(d).
-6
Let
|
{
"pile_set_name": "DM Mathematics"
}
|
6*d + 1. Suppose -7 - 1 = 2*i, 0 = -5*r - 3*i - 22. Let u(h) = -105*h - 3. Let x(n) = r*u(n) - 9*b(n). Is x(-4) a prime number?
False
Let y(p) = 26*p**2 - 2 + 9*p + 2*p + 0 - 9*p. Is y(4) prime?
False
Let d = 1918 + -479. Is d composite?
False
Let a(w) = w**3 - 6*w**2 - 10*w + 5. Let z be a(7). Let p be (3 + z/4)/(-1). Is (1 + p - -51)*1 a prime number?
True
Let y(a) = 30*a + 1. Let f be -2 + 0 + (-3 - -9). Is y(f) prime?
False
Let i(m) = -4*m - 2 + 2*m**2 - 1 + 10*m. Let r be 7*(-1)/((3 - 1) + -1). Is i(r) prime?
True
Let a be (((-72)/10)/6)/((-2)/5). Suppose -g + 2117 = -2*r, -4*g + a*r + r = -8456. Is g a prime number?
True
Let q(u) = -3*u**2 - 3*u + 21. Let i be q(-19). Let s be -2*(i/(-10) - -1). Let d = -42 - s. Is d a prime number?
False
Let l be ((-2)/(-1))/2 - 1. Suppose d + l = 5. Suppose 0 = 3*h - d*p - 1786, -p = -5*p - 20. Is h a composite number?
False
Suppose -12*h - 20*h + 372192 = 0. Is h prime?
False
Let h = 28 - 22. Let t be (-752)/h*(1 - -2). Let k = 123 - t. Is k composite?
False
Suppose i + 0 = 2. Let g(u) = u**3 + 7 - 12*u + 4 + 3 - 7*u**i. Is g(10) a prime number?
False
Let m = -39 - -41. Suppose -m*f = -0*f + 3*v - 3877, 3*f + 4*v = 5817. Is f a prime number?
False
Let r be ((-3)/(-9))/(7/(-7329)). Let f = r + 798. Is f a composite number?
False
Let q be 0*(0 + -3 - -2). Suppose q = -3*h - 170 - 88. Let x = h - -145. Is x composite?
False
Is (3266/4)/(2 - (-27)/(-18)) a prime number?
False
Suppose 0 = -4*s - 4*x + 252984, 0 = -2*s + 5*x + 115925 + 10532. Is s a composite number?
False
Let z = -11333 - -21690. Is z prime?
True
Suppose 3*z = 3*k + 67269, 0*z - 2*z = 2*k - 44838. Is z a composite number?
True
Let j be (-6)/36*-1 + (-11465)/(-6). Let c = 4 + 1. Suppose -4*r - 962 = -2*s, -s - 3*s - c*r + j = 0. Is s a prime number?
True
Let l = -13 + 16. Suppose -4*m + 5*a + 15 + 21 = 0, -l*m - 4 = 4*a. Suppose c + 63 = m*c. Is c prime?
False
Let k(o) = 9*o + 17. Let l(z) = -8*z - 17. Let i(c) = -7*k(c) - 6*l(c). Is i(-8) composite?
False
Is (8496 - (9 - 8)) + 6 a prime number?
True
Let f = -1329 + 2072. Is f a composite number?
False
Let b(f) = -3*f - 2. Let y be b(-1). Let p(c) = 163*c**3 - c**2 + 2*c - 1. Is p(y) a composite number?
False
Suppose -4*v = -2*c - 586, 0 = -7*v + 2*v + 5*c + 735. Let t = 47 + 32. Let m = v - t. Is m prime?
True
Is 3/(-9) - 1258/(-3) prime?
True
Let i(d) = 37*d + 2. Suppose 2*y + 5 = y. Let j be (y/(-2))/1*2. Is i(j) composite?
True
Is (-190354)/(-14) - (104/28 + -4) a prime number?
True
Let u = 73859 - 45910. Is u a composite number?
True
Suppose 4*i + 0 - 8 = 0. Let p be 453/(i/(-2)) - 1. Let a = -215 - p. Is a prime?
True
Suppose -68717 = -d + 2*c, 23*d - 137434 = 21*d + 2*c. Is d composite?
True
Let l be -2*1*3/3. Let f be 131 + (-3 - (-6 - l)). Let b = -50 + f. Is b a composite number?
True
Is ((-268)/10)/((-96)/1680) prime?
False
Let k(h) = -h + 8. Let x be k(6). Suppose 2*l - 2 = l. Is (x/4)/(l/124) prime?
True
Suppose -o = -3*h - 4*o, o + 2 = 0. Is 2 + h/(-1) + 203 prime?
False
Suppose 0*o + 4*o - 20 = 0. Suppose 3*s + 2*s - 5*t - 920 = 0, -3*t - 922 = -o*s. Is s prime?
False
Let k = -795 - -1018. Is k a prime number?
True
Let o(d) = d**2 + d + 331. Suppose -2*s - 3*s - 3*g = -6, 0 = 5*s - 5*g + 10. Is o(s) a composite number?
False
Let b(m) = -901*m - 441. Is b(-12) a composite number?
True
Let y(c) = -c**3 - 14*c**2 + 3*c + 1. Let g be (-4 - -2)*15/2. Let t be y(g). Let o = t + 198. Is o composite?
False
Is 10 + 1895688/32 - (-5)/(-4) prime?
False
Suppose m - 3*m + 10490 = 0. Suppose -n - m = -6*n. Is n composite?
False
Suppose 5*j + 2*z + 18021 = -z, z = -j - 3603. Let p = -1049 - j. Is p composite?
False
Suppose 0 = -5*a - 219 - 516. Let n = a + 304. Is n composite?
False
Suppose 0 = -5*c + 4*t + 150775, -5*t + 120594 = 4*c - 3*t. Is c a prime number?
False
Suppose -2*v + 17*s - 15*s + 1350 = 0, 2*v + s = 1344. Is v a prime number?
True
Let u(x) = x**3 - 6*x**2 + 2*x - 9. Let s be u(6). Suppose -5*q = 5*a + 50, 7*a - s*a = 3*q + 16. Let d = q - -10. Is d a composite number?
False
Let y(m) = 223*m - 160. Is y(11) composite?
False
Suppose 1797 = 5*s + 8387. Let w = -867 - s. Is w prime?
False
Let j be (-4)/3*(0 - -160 - 4). Let b(y) = -131*y + 2. Let n be b(-3). Let p = j + n. Is p composite?
True
Is (-55535)/(-25) + (24/(-10) - -2) composite?
False
Suppose 6*h = 5*h + 3. Let d(r) = -r - 6. Let q be d(-8). Suppose 4*p - q*w - 3*w = 208, -129 = -3*p - h*w. Is p a composite number?
False
Let z = -13 + 15. Suppose -z*x - 5*y = -442, -2*x - 2*y + 3*y = -418. Is x a composite number?
False
Suppose -4 + 40 = -i. Let j = 13 + i. Is (-13 - (-1 + -1))*j a prime number?
False
Let l(g) be the first derivative of 7*g**2 - 5*g + 21. Let y = -11 + 18. Is l(y) composite?
True
Suppose 62214 = -s + 7*s. Is s a prime number?
True
Let v be 4/8 - 43/2. Let h = -17 - v. Suppose 2*j + 1878 = 4*q, j - 15 = h*j. Is q a composite number?
False
Let i be 2/(-8) - 6/(-24). Suppose -5*s + 2*j = -i*s - 5, 11 = -3*s + 4*j. Suppose u - s*o - 166 = 0, 2*u - 4*o - 81 = 249. Is u prime?
True
Let m(q) = -3556*q + 3. Let z be m(-1). Suppose -2658 = -3*s + 3*v, -4*s = -0*s + v - z. Is s a composite number?
True
Suppose 0 = -u + 188 + 38. Suppose g - 2*g + u = 0. Is g a composite number?
True
Let t(z) = 61*z**2 + z + 7. Is t(9) prime?
True
Let b = 70496 + -969. Is b composite?
True
Suppose -4073 = 5*r - 19518. Is r prime?
True
Let f = 31 - 22. Let m be f/(-63) + (-44)/(-14). Suppose 3*b - 2*j = 2021, 641 = 5*b - m*j - 2729. Is b prime?
True
Suppose 2*u = -2*u. Suppose 5*k - 62 - 1323 = u. Is k a composite number?
False
Let o(x) = -4*x**3 - x**2 - x. Let j be o(3). Let q(n) = -n**3 + 6*n**2 - 4*n - 4. Let s be q(9). Let f = j - s. Is f a prime number?
True
Let v(q) = q**3 + 4*q**2 + 4*q + 3. Let f be v(-2). Suppose 6 = f*s - 0. Suppose s*o + 412 = 6*o. Is o a composite number?
False
Let c(u) = u**2 - 4*u + 9. Let z be c(5). Suppose -3480 - 9722 = -z*s. Is s a prime number?
False
Let s be (4 - 0)*714/(-24). Let q = s + 232. Is q a composite number?
False
Suppose 21*b - 109103 = -44612. Is b a composite number?
True
Let v(l) = l**3 + 4*l**2 - 3*l + 2. Let y be v(-5). Is -2*(3 - (-892)/y) prime?
False
Let i be (4 + 2802/(-9))*3. Let m = -329 - i. Is m a composite number?
False
Let p = -178 + 104. Let z = 127 + p. Suppose z = 3*c - 2*c. Is c composite?
False
Let y be -4 + 0 + (1643 - 1). Suppose -5*p - 3*v - 2509 = y, -2*p = -3*v + 1642. Let t = 1440 + p. Is t a prime number?
True
Let z = 27 + -21. Suppose z*a = 469 + 143. Let l = a + -19. Is l a composite number?
False
Let b(g) = -g**3 + 14*g**2 - 14*g + 14. Let a be b(13). Let z be ((-3)/6)/(a/(-640)). Let r = 15 + z. Is r prime?
False
Let f be (14/6)/(4/(-72)). Let w = f + 24. Let v = w + 56. Is v a prime number?
False
Let j(u) = u**2 + 6*u - 11. Let x be j(-8). Suppose -x*v = 135 - 1310. Suppose -3*m = w - 200, w - 4*m = -0*w + v. Is w a composite number?
True
Let b be (-8 - -10) + 576 + -1. Suppose -4*k + 2372 = 4*s, -3*s + b = -2*s - 3*k. Is s a composite number?
True
Let j(b) = -10 - 8 + 94*b + 646*b - 109*b. Is j(5) a prime number?
True
Is (-5493)/(-6)*(-1 + 0)*-2 a composite number?
False
Let b(j) = j**3 - j**2 - 4*j + 4. Let q be b(2). Suppose -238 = -p - 5*r, q*p - 452 = -2*p - 2*r. Is p a composite number?
False
Suppose -b = -1, -3*a - 3*b = -31 - 8. Let m be 2/8 - 3/a. Suppose 0 = -5*f - m*h + 3*h + 334, 0 = 5*f + 4*h - 313. Is f a prime number?
False
Let m(x) = x**2 - 13*x - 6. Let o be m(11). Let h = 183 - o. Is h a composite number?
False
Let m be (-6)/(7/((-21)/6)). Suppose h = m*i - 5006, 0*h + 5 = 5*h. Is i composite?
False
Let f(y) = -3*y**3 + 23*y**2 + 10*y + 34. Let u(t) = t**3 - 8*t**2 - 3*t - 11. Let w(z) = -6*f(z) - 17*u(z). Is w(8) a prime number?
False
Suppose 0 = 2*p - 6, 2*j = -2*p - 0*p + 1580. Is j a composite number?
False
Let o = -1246 + 1743. Is o composite?
True
Let y be 156*1*20/(-30). Let g = 197 + y. Is g a prime number?
False
Let g be (-12 + 3)/((-1)/(-4)). Let z be (-8)/g + (-212)/(-18). Is (-2577)/(-9) + 8/z a prime number?
False
Suppose 5*k = 4*h + 11963, 4*k - 4788 = 2*k + 3*h. Is k a composite number?
True
Let t(o) = 49*o**2 - 7*o + 13. Let i be t(6). Suppose i = -z + 6*z. Let y = z + -88. Is y prime?
False
Suppose -3*v + 5047
|
{
"pile_set_name": "DM Mathematics"
}
|
/(-6))?
1/2
What is (5/270*-5)/((-7)/(-28)*-10)?
1/27
Calculate (15/25)/((2325/375)/(-31)).
-3
What is the value of (-845)/33800*(-160)/84?
1/21
Calculate -51*10947/10455*10/(-6).
89
657/(-1)*(-40)/1440*4
73
What is (-11)/(66/(-54))*(228/(-57))/((-3)/(-1))?
-12
What is the value of -7*(5846/869)/((504/(-44))/(-9))?
-37
Calculate 4/((-53)/((-65190)/(-120))*(-1)/1).
41
Calculate (1330/(-14630))/((-3)/33).
1
What is the value of (1/2)/((-38)/(-1520)*(-6)/12)?
-40
Evaluate ((-142)/(-213)*138/(-23))/((-8)/(-106)).
-53
Calculate (27*(-46)/69)/((2/5)/(25/(-2375))).
9/19
Evaluate 15/(2/(72/5850))*15/6.
3/13
Evaluate (18/147*(-1715)/12495)/((-46)/(-14)).
-2/391
Calculate (-308)/280*(-20)/2.
11
What is the value of ((-78)/(-16))/(1326/(-7072))?
-26
(2/(-45))/(705/(-6345))*(440/(-6))/(-2)
44/3
(1300/(-120))/(6/72*-4*-15)
-13/6
What is the value of (2/(-7)*-203)/(-2)*1?
-29
What is (5/(-105))/(((-22)/((-165)/15))/(-9))?
3/14
What is (-6)/(-24)*(-36)/(-3)*17*(-189)/(-1377)?
7
What is 21/392*8/(-30)*10?
-1/7
What is -310*(408/(-340))/((-2)/(-4)*6)?
124
2/(1/4*-1)*103/299936*112
-4/13
1476/32*328/(-1476)*4
-41
What is 3598/2056*8/(-21)*-6?
4
What is (((-23)/(-69))/(104/(-39)))/(2/4)?
-1/4
Calculate 6/(-15)*(100/5)/(-4)*460/(-60).
-46/3
Calculate ((-24213)/5765)/(6/(-20)).
14
What is (-4)/(-8)*-11*((-6)/12)/(-1)?
-11/4
Evaluate ((-10)/(-524)*1)/((20/32)/((-3)/(-6))).
2/131
What is ((-3)/(-27))/((-31078)/2274)?
-1/123
Evaluate (7/8)/((-7784)/4448)*2/(-11).
1/11
Calculate 10*10/(-240)*8*(-54)/(-10).
-18
(451/(1860375/(-550)))/((-236)/30)
1/59
((-16)/11448)/(152/(-4104))
2/53
(((-238328)/62)/62)/(3/(6/(-16)*-4))
-31
-9*(-2090)/(-29700)*-30
19
Calculate (-8)/7*4/3*((-361)/(-912))/(-19).
2/63
(76/(-76))/(((-175)/7)/(-3125))
-125
What is (-39)/1300*13090/(-43197)?
1/110
What is the value of 1/3*18549/22671*(33/14)/3?
3/14
Evaluate ((4/(168/(-9)))/((-4179)/(-398)))/(1/(-6)).
6/49
What is -16*-35*(-20)/(-280)?
40
What is the value of ((-952)/24)/(-17)*5/(-2)?
-35/6
What is the value of (408/(-1326))/((-2)/(-130))?
-20
What is ((166/(-1162))/((-10)/(-35)))/((-138)/(-168))?
-14/23
What is (-96)/36*(-90*(-7)/420)/((-5)/(-2))?
-8/5
What is the value of (945/(-480)*-8)/(24/64)?
42
What is the value of ((-216)/99)/((-4)/(1232/21))?
32
Evaluate (-50)/(19500/(-130))*9/(-5).
-3/5
Evaluate ((440/(-15))/(-4))/((49/28)/((-12)/32)).
-11/7
(((-5476)/111)/74)/2
-1/3
Calculate (528/696)/(11/319).
22
What is ((-108)/110)/18*-8*1/(-8)?
-3/55
Evaluate 61485/4099*7/(-3).
-35
What is (-39)/((-27)/(-90)*-5)?
26
Evaluate ((-2)/(15/((-90)/(-12))))/(3/(-144)*3).
16
2*61*(-7766)/2118*(-6)/(-44)
-61
Calculate 4/(-6)*-25*34/3060*54.
10
Evaluate (-35)/(-112)*(-720)/7600*-114.
27/8
((-12)/70)/(12060/5628)
-2/25
Evaluate (40/176)/(((-579)/1351)/(33/(-14))).
5/4
(6/3*15/75)/(490/69825)
57
What is (2204/2204)/((((-96)/18)/8)/(4/6))?
-1
Calculate (-6)/(180/(-6))*-50*(-33)/(-1980)*86.
-43/3
What is the value of 3/((-12)/4)*(34/(-2))/(40/40)?
17
(8/(-54))/(((-184)/1656)/((-4)/(-40)))
2/15
What is the value of ((-3)/(-3))/(8/(-6)*(-83)/(-332))?
-3
Evaluate (5/2*-2)/(385/(-154)).
2
Evaluate (32/(192/(-51)))/(7*2/168).
-102
((87/(-6))/((2601/51)/51))/((-2)/(-4))
-29
Evaluate (222/666)/(1/(6/(-11))).
-2/11
What is (-128)/168*36/48*(18354/(-108))/23?
38/9
Calculate 16*(-54)/4320*115.
-23
What is (32400/(-864))/(375/60)?
-6
Evaluate (30/(-10))/((-9156)/(-10028)).
-23/7
Calculate (-2*((-28)/(-4))/(-14))/((-100)/1200).
-12
(14/(-21))/((110/150)/11)
-10
What is the value of ((-26)/39*(-159)/(-4))/(10/(-100)*5)?
53
Evaluate 231/1*27*(-41)/3321.
-77
Evaluate (-4*6/8)/((72/(-342))/4).
57
What is (6/1*-1)/((-1034)/11891*2/2)?
69
-5*21/140*(-2852)/(-93)
-23
What is ((-12)/108)/(18700/(-6120))?
2/55
90/(-81)*352/440
-8/9
What is (8232/(-49))/(119/(-34))?
48
Evaluate 1348/68074*4/(-24)*3.
-1/101
What is the value of 258456/(-26433)*81/(-24)*2?
66
Evaluate (3/((-45)/3))/((31648/(-240))/86).
3/23
Evaluate (180/(-21))/(619/4333).
-60
What is the value of 2/((-7)/(-28*1)*70/(-245))?
-28
What is the value of (384/96)/(1254/19)*(-6)/8?
-1/22
274/(-137)*((-1484)/8)/(-7)
-53
What is the value of 7/1484*12/63*-3*-7?
1/53
(23494/44224)/((-4)/(-640))
85
What is 47/((-94)/(-2))*((-189)/3)/(-3)?
21
What is ((-10)/14)/(3920/(-3136))?
4/7
Evaluate ((-55)/(660/624))/((-3)/3*2).
26
(-4536)/(-14742)*(-4)/4*1
-4/13
Evaluate (7848/(-2180))/((-5)/(-25)).
-18
Calculate ((-12)/(-22)*10648/(-6776))/(1/7).
-6
Evaluate 10/(-81)*(-14)/4*5496/16030.
4/27
((-88)/33)/(((-6)/(-100))/(16/((-1440)/162)))
80
Calculate ((-12)/2)/((21/(-63))/((-21)/(-36))).
21/2
What is the value of 2531/(-174639)*6/5?
-2/115
What is 3*(-8)/32*((-126)/15)/(25/500)?
126
Evaluate ((10920/(-16))/(-39))/15.
7/6
What is ((-33)/(-11))/((-2079)/33)?
-1/21
What is the value of ((-2)/(-10))/((2751/1441)/(1/(22/20)))?
2/21
Calculate ((48/12)/4*2)/(2/(-47)).
-47
Calculate (((-822)/2740)/(10/12))/(16/20).
-9/20
Evaluate ((-182)/(-945))/(3666/2820).
4/27
Calculate (((-5)/(-60))/(14*10/19040))/((-4)/(-3)).
17/2
What is 1/4*42/(-63)*(-63)/168?
1/16
Evaluate (-8)/30*3*(-24)/((-2112)/(-3740)).
34
What is (-223)/(-669)*(-7)/(238/6)*(-6)/3?
2/17
What is the value of (4/16*(-10)/(-5))/(-14*(-21)/84)?
1/7
Evaluate (-30)/(-1125)*25*69.
46
What is (((-698877)/2440)/(-67))/((-6)/(-10))*-8?
-57
(-189)/9*(20/(-11))/((-70)/55)
-30
Calculate (630/(4455/(-99)))/((-1)/(-1)).
-14
Evaluate ((-1)/246)/(813/9756).
-2/41
What is (126/(-462)*(-308)/(-42))/(10/62)?
-62/5
Evaluate 5/30*-8*(-198)/72.
11/3
((-67528)/(-64592))/(2/(-176))
-92
What is (9/12)/((-575)/32200)?
-42
What is (-18047)/18047*(-90)/(-2)?
-45
Evaluate -7*(-9*30/4725)/((-22)/495*-9).
1
Calculate (100/160)/(300/(-80)).
-1/6
Evaluate 27*(-6246)/(-47886)*4/(-54).
-6/23
What is (40/(340000/(-75))*4)/((-6)/40)?
4/17
Calculate (((-3)/20)/((-6)/(-356)))/(27/(-5940)*22).
89
Evaluate 30/(-42)*-23*11/72105*-6.
-2/133
What is ((-897)/23)/1287*3*3*(-3)/(-9)?
-1/11
What is the value of 1404818/1828*10/(-145)?
-53
Evaluate 4/432*-8*3/18*378/168.
-1/36
What is the value of (342/19)/(2/1)*22/(-132)?
-3/2
Evaluate (810/(-243))/(((-35)/(-882))/(-1)).
84
Calculate (-16)/(-18)*(17751/(-6596))/61.
-2/51
What is the value of (-4)/(-3)*(-6209424)/77376?
-107
(9959/(-2165))/((-10)/(-50))
-23
What is (-2)/(-32)*47/(846/(-144))?
-1/2
Evaluate (-3888)/2916*((-3)/5)/(42/15).
2/7
What is the value of ((56/6)/14)/(18/(-459))*27/(-9)?
51
Evaluate (-1176)/3234*(-44)/(-1).
-16
Calculate ((-16)/24)/((-91)/(-39)).
-2/7
What is the value of 53*-1*(200/75)/(32/(-12))?
53
Calculate (47964/(-999250))/(162/(-50)).
2/135
Evaluate ((-3810)/22225)/(18/(-10)).
2/21
Evaluate ((-100)/(-18))/((-290)/435)*-30*18/(-450).
-10
((-28)/(-48)*-2*190/266)/((-25)/580)
58/3
1/((3*19/513)/(5/15))
3
What is the value of ((-258)/12)/(1/(-2))*(-108)/108?
-43
Evaluate ((-25)/225)/((3/5)/3*15/(-138)).
46/9
Evaluate (22/(-306))/(34606/18876).
-2/51
Evaluate ((-88)/2156*(-686)/560)/(6/820).
41/6
Calculate (990/75)/(-22)*(-35)/(-357).
-1/17
What is the value of (((-560)/30)/(-56))/((-7)/840)?
-40
Calculate ((-40)/20)/((-147)/126*3*(-1)/42).
-24
(3/32*2)/((-29)/((-4640)/48))
5/8
What is the value of -4*(234/(-3))/(-3*(168/(-9))/(-14))?
-78
Evaluate (-15)/(-63)*70200/4500.
26/7
Evaluate -273*(-42)/(-2940)*-10.
39
What is ((-28)/14)/((-10)/(1960/(-14)))?
-28
Evaluate (11/3)/((-185240)/(-15156)).
3/10
What is the value of (80/18)/2*9*(-25)/(-10)?
50
(-10234)/(-2924)*4/(-32)*2*(-4)/175
1/50
Evaluate (-9)/18*((-4)/14)/(1260/(-24255)).
-11/4
Evaluate 55/(-198)*59/(885/(-90))*51.
85
Evaluate ((-9)/(189/30)*(-7)/9)/(1799/(-7196)).
-40/9
(6/(-81))/(((-2375)/(-8550))/(((-40)/(-6))/4))
-4/9
What is (-60)/(-32)*-12*-17*128/(-17952)?
-30/11
What is the value of (3/8*2)/(-9*(-34)/(-510))*48?
-60
What is (8210/(-20525))/(((-4)/(-6))/(10/6))*-11?
11
Evaluate 4*(-2)/6*((-72)/(-3))/(-96)*99.
33
Calculate (-288)/5184*2106/663.
-3/17
What is the value of 7*(-38)/74480*-28?
1/10
Calculate ((-495)/(-360))/((-35)/(-28))*-2.
-11/5
Calculate ((-8)/3*18/(-168))/((-62)/6727).
-31
What is the value of (-306)/6120*30/10?
-3/20
Calculate 14*(-200)/350*-4*(-1)/1.
-32
Evaluate ((-208)/12)/((-1788)/(-1341)).
-13
Evaluate (-11)/(297/54)*(-6)/(-276).
-1/23
(-636)/(-265)*(-550)/20
-66
Calculate (-136)/(-24)*(-41)/(-41)*9/3.
17
What is
|
{
"pile_set_name": "DM Mathematics"
}
|
= 3*y - 3. List the prime factors of g.
5
Suppose -3*f + 8 = t - 26, 0 = -f + 3*t + 18. Let y = f - 8. List the prime factors of y.
2
Suppose 4*m - 126 = -3*m. List the prime factors of m.
2, 3
Suppose -2*b = -3*c - 43, 3*c = -3*b + 71 + 1. Suppose -4*i + b = -5. List the prime factors of i.
7
Let z be 29/5 + (-2)/(-10). Suppose z*q - q = -10. List the prime factors of 1*((-4)/q - -1).
3
What are the prime factors of (-105)/(-30)*(-24)/(-14)?
2, 3
Suppose 0*r + 21 = 3*r. Let x(b) = -b**2 + 15*b - 16. What are the prime factors of x(r)?
2, 5
Let i(h) = 3*h - 5. Let v be i(-5). Let s = 1 - v. Let o = 41 - s. What are the prime factors of o?
2, 5
Let a = -150 - -229. What are the prime factors of a?
79
Let w be 0 - (4 + -3) - -11. List the prime factors of (48/w)/((-12)/(-40)).
2
Let z(w) = 10*w**2 + 4*w - 3. List the prime factors of z(2).
3, 5
Suppose 0 = -4*m - 26 - 6. Let k = m + 8. Suppose k = -3*f + 2*v + 20, -5*f = v + v - 44. List the prime factors of f.
2
Suppose 3*u - 37 = 26. List the prime factors of (-251)/(-7) + 3/u.
2, 3
Let p = -208 - -303. List the prime factors of p.
5, 19
Let k be 0*(1 - 2)/1. Suppose -3*u - 2 = w - 4*u, 5*w + 3*u - 22 = k. List the prime factors of w.
2
Suppose -4*d + 13 + 3 = 0. Suppose -d*k - 2*f + 60 = 0, -5*f + 0*f + 80 = 5*k. List the prime factors of k.
2, 7
Suppose -3*d - 2*q + 6*q = -13, 2*d + 2*q = 4. Suppose d*r - 5*x + 1 = 2, 5*r = 3*x + 23. What are the prime factors of r?
7
What are the prime factors of -233*3/(-2)*(-2)/(-3)?
233
Let k(h) = -3*h - 12. What are the prime factors of k(-11)?
3, 7
List the prime factors of (1070/40)/(((-6)/8)/(-3)).
107
Let r(b) = b**3 + 4*b**2 - 5*b. Let v be r(-5). Suppose 4*u + 5*h - 180 = v, -68 = -2*u - h + 4*h. What are the prime factors of u?
2, 5
Let b = 8 - 4. Let h be 2/b + 1/(-2). Suppose h*s + 11 = s. What are the prime factors of s?
11
Suppose 2*m - 2*i = -0*m + 16, -2*m - 2*i + 32 = 0. Let a = m - -6. List the prime factors of a.
2, 3
Suppose 13 = t + 4*j, -3*t + 0*j + 91 = -j. What are the prime factors of t?
29
Suppose 4*a - 8*a + 440 = 0. Suppose -a = -4*b + 26. What are the prime factors of b?
2, 17
Let s be (-4)/(-10) - (-65)/25. Suppose s*l - 1 = 5. Suppose 0 = 4*y + l*t - 21 - 21, -2*y + 5*t + 39 = 0. What are the prime factors of y?
2, 3
Let j(g) = 19*g - 10. List the prime factors of j(9).
7, 23
Let n(l) = -11*l + 4. What are the prime factors of n(-3)?
37
Let p be 20/(-16)*(0 - -4). Let i(k) = -k**2 + 11*k - 15. Let z be i(7). Let a = z + p. List the prime factors of a.
2
Let c = -4 + 4. Let f be -1 + 2 + c - 7. Let y(d) = -d**2 - 9*d - 5. List the prime factors of y(f).
13
Suppose -5*q + 6*z = 3*z, 0 = -5*z. Suppose q = h - 17. What are the prime factors of h?
17
Suppose 0*j - 4*j = -f - 7, f - 9 = -4*j. Suppose 0 = -5*l - 2*r + 36, j = -l + 3*r - 1. Let a = -4 + l. What are the prime factors of a?
2
Let n(t) = -t**2 + 5*t. Let y be n(4). Suppose 0 = 2*b - y*v - 10 + 4, -3*b + 17 = -2*v. What are the prime factors of b?
7
Let d(l) = 3*l**2 + 7*l + 5. List the prime factors of d(-4).
5
Let r = 13 + -10. Suppose -2*s - y + 2 + 5 = 0, s = 5*y - 13. What are the prime factors of (-36)/(-10)*(r + s)?
2, 3
Let t be ((-126)/(-10))/((-57)/(-190)). Suppose -f = -t + 7. List the prime factors of f.
5, 7
Suppose -o - 2*o + 6 = 0. Suppose o*n = n + 4. What are the prime factors of n?
2
Let p(s) be the first derivative of -s**3/3 + 11*s**2/2 - 6*s + 2. Let d be p(10). Suppose d*u = -u + 10. What are the prime factors of u?
2
Suppose -26 + 3 = -w - 5*u, -2*w = -5*u - 46. Let n = w - 16. Suppose 2*q - 5 = n. What are the prime factors of q?
2, 3
Suppose -o + 136 = v, -3*v - 3*o + 142 = -2*v. What are the prime factors of v?
7, 19
Let z(b) = 10*b**3 - 2*b**2 + 1. Let n be z(1). Suppose 9 = 2*h - n. List the prime factors of h.
3
Let t be 3*3/27*3. Suppose m = 3 + t. What are the prime factors of m?
2
Suppose -362 = 5*z - 1397. List the prime factors of z.
3, 23
Let q = -1 - -2. Let t be -32 + 1 + 2 + q. What are the prime factors of t/(-1)*1/2?
2, 7
Suppose -3*a - 3*j = 3, 3*j = -2*j - 25. Let z = a + 0. Let s(t) = 2*t - 1. What are the prime factors of s(z)?
7
Let w = 39 - 28. Suppose 3*j - 4*v = 2, -4*j + 2*v - v = -20. Let z = w - j. List the prime factors of z.
5
Suppose 0 = 5*t - 5 - 145. Suppose 5*y = 3*b + 30, -2*y - 7 + t = b. What are the prime factors of y?
3
Suppose 1030 = 3*a + 8*d - 4*d, -3*a + 2*d + 1060 = 0. What are the prime factors of a?
2, 5, 7
What are the prime factors of 12/3*9/9?
2
Suppose 0 = -i + 35 + 21. What are the prime factors of i?
2, 7
Let z(i) be the first derivative of -i**3/3 + 5*i**2/2 + 4*i + 3. Suppose 2*o = 2*r - 6, r - 14 = -3*o - 3. List the prime factors of z(r).
2
Let r(a) = -22*a**3 + a**2 + 2*a - 1. What are the prime factors of r(-2)?
5, 7
Suppose 8*i - 3*i + 80 = 0. Suppose -2*y + 32 = o, -2*o + 5*o + y = 86. Let a = i + o. List the prime factors of a.
2, 3
List the prime factors of 99/22*(-1 - -5).
2, 3
Let x(j) = -j**2 - j + 5. Let c be (2 - 2)*(-4)/(-4). List the prime factors of x(c).
5
Suppose -v - l - 7 = -3*v, -4*v + 5*l - 1 = 0. Let j be 9/v*1*2. Suppose 4*f + 16 = 4*b, -2*b - b - j*f + 30 = 0. What are the prime factors of b?
7
Let m(a) = a**3 - 7*a**2 + 6*a + 8. Let c be m(6). What are the prime factors of c/6*81/6?
2, 3
Suppose -23*m + 22*m + 122 = 0. List the prime factors of m.
2, 61
List the prime factors of 4/(-6)*(-138)/4.
23
Suppose 38 = 2*l + 10. Suppose l + 5 = w. List the prime factors of w.
19
Let k = 157 - 82. What are the prime factors of k?
3, 5
Let q(t) = -t**3 + t**2 + t + 31. Let w be -1*(1 + 3 + -4). What are the prime factors of q(w)?
31
Suppose -4*d + 4 = -8. Suppose -2*k - 226 = -5*t, 2*k = -d*t + 177 - 35. What are the prime factors of t?
2, 23
Let j(y) = -22 + 0*y - 5*y - y**2 + 22. List the prime factors of j(-4).
2
Let g be 879/(-5 + 4 + 2). What are the prime factors of (-3)/(-18) + g/18?
7
Let r(g) = -g**3 - 16*g**2 + 16*g - 11. Let c be r(-17). Suppose -3*x - 25 = -c*x + v, 0 = -4*x + 3*v + 30. List the prime factors of x.
3
Suppose -5*d + 22 = 2. List the prime factors of d.
2
Let w(t) = t**3 + 2*t**2 - 4*t + 1. List the prime factors of w(2).
3
What are the prime factors of 5/(45/21)*18?
2, 3, 7
Suppose 5*g = 8 - 3. Let t be g/(1*(-1)/(-2)). Suppose -j + 16 - 37 = -2*i, t = -2*j. List the prime factors of i.
2, 5
Let s(a) = 4*a - 1. Let f be s(1). Suppose -u - 65 = -4*w + 2*u, f*w = -u + 39. List the prime factors of w.
2, 7
Let t(o) = 4*o + 4 - 4. Let z(c) = c**2 + c - 8. Let q be z(3). What are the prime factors of t(q)?
2
Let o be 3*((-2)/(-6) - 0). Let s be (3 + 2)*(-2)/5. What are the prime factors of 4 + s + o*10?
2, 3
Suppose -5*v + 72 = r, -r - 3*r = -2*v + 20. What are the prime factors of v?
2, 7
List the prime factors of 1 + 42 - (-3)/(-6)*0.
43
Let o(j) = j**2 + 2*j + 4. Let p(r) = r + 15. Let m be p(-11). What are the prime factors of o(m)?
2, 7
List the prime factors of (-7974)/(-66) + (-2)/(-11).
11
Suppose -5*p + 701 - 66 = 5*a, -p = -3*a - 119. What are the prime factors of p?
5
Let b = 5 + -3. Suppose 4 = a + b. Suppose 3*o + a*o = 55. List the prime factors of o.
11
Suppose 0 = -2*x + 4*x - 2*h + 28, 9 = 3*h. Let d = 13 + x. Suppose 10 = 4*m + d*l - 30, 4*l + 4 = -m. List the prime factors of m.
2, 3
Suppose 2 = s - 0. Suppose 26 + 28 = s*m. Suppose -m - 21 = -4*w. What are the prime factors of w?
2, 3
Let t be 285/(-55) + 2/11. Let l(d) = -d**3 - 5*d**2 - 8*d - 4. What are the prime factors of l(t)?
2, 3
Let u be -1 + 2/(6/9). Suppose -6*z + u*z + 64 = 0. List the prime factors of z.
2
Let l be (-24)/(-14) - 2/(-7). Suppose 0*n - l*n = -20. Suppose 5*b = -2*g - n + 38, 3*g = -3*b + 15. What are the prime factors of b?
2, 3
What are the prime factors of (-12)/(-42) - 0 - (-1228)/14?
2, 11
Let s = -11 + 46. List the prime factors of s.
5, 7
Let z = -576 + 941. What are the prime factors of z?
5, 73
Let c(f) = 0*f - 7*f**2 + f**3 - f - 2 - 1 - 6*f. Let y be 2*4 + 0/(-1). What are the prime factors of c(y)?
5
Suppose 5*h = 4*h. Suppose 2*y + 0*y - 26 = h. List the prime factors of y.
13
Suppose -3*c - 3 = -0*c. Let u be c/1*1 + 1. List the prime factors of 4 + u/(-4 - -1).
2
Let h(k) = k + 3. Let y be h(3). Let n be 45/y + 3/2. Suppose 0 = 6*j - 3*j - n
|
{
"pile_set_name": "DM Mathematics"
}
|
st value in 0.5, c, g, k?
k
Suppose -2*z = -2*v - 18, 0*v + 8 = -4*v - 3*z. Let g = 311149 - 311149.2. What is the biggest value in -6, -3, v, g?
g
Let h = -14503 - -14499.7. Which is the third biggest value? (a) -0.07 (b) h (c) 4/5
b
Let n be ((-4)/30)/((-4)/14*(-336)/160). Which is the second smallest value? (a) 54.8 (b) -2 (c) n
c
Suppose -19454 + 19399 = 11*u. Which is the fourth smallest value? (a) u (b) -1/21 (c) 0 (d) 1/3
d
Let j = -84 + 422/5. Let u be 4/(-60)*6/((-24)/5590). Let p = -93 + u. Which is the fourth biggest value? (a) 1/2 (b) p (c) j (d) 2/7
b
Let t = -1971.32 - -1970. What is the second biggest value in t, 3, -4, 0.5?
0.5
Let c = 145.69 - -4.9. Let v = 150 - c. Let s = 1.09 + v. What is the biggest value in s, 2, 0.03?
2
Let n = 58/33 + -12/11. What is the smallest value in n, 0.3, -229, 0.4?
-229
Let c be (96/16)/(6 - 5). What is the fourth smallest value in -0.3, c, 1, -5, 7/6?
7/6
Let r be 1196/130 + 1/(-5). Suppose 9*z = 3*g + 7*z - 18, z - r = -3*g. Which is the biggest value? (a) g (b) -3 (c) 2
a
Let r = -0.087 - -0.037. Let j = 62.05 + r. What is the second smallest value in 5, 1/2, j?
5
Let d = 1716 - 1712.9. Suppose 0*x - 4*x + 17 = -5*n, 2*n = -5*x - 20. What is the third smallest value in 1, x, d?
d
Let h = 237 + -244. Let o(j) = -j**3 + 43*j**2 - 84*j + 76. Let q be o(41). Which is the third smallest value? (a) -1 (b) q (c) h
a
Let c = -24.08829 + 0.08829. What is the second biggest value in -1, 4, c, -4?
-1
Let g = -608 - -616. Suppose 4*i = -2*u - 2*u + 20, 0 = -2*u + 3*i + 5. Suppose g*a + u*a - 12 = 0. What is the third biggest value in -1/2, 3/4, 0.5, a?
0.5
Let r = 3/2374 - -1181/4748. What is the fourth biggest value in 0.34, 2, 4/9, r?
r
Let h = 15202 - 15201.7. What is the biggest value in -4, 5.43, 0.5, 3, h?
5.43
Let b = -132 + 142. Let o = 10.1 - b. What is the biggest value in -0.3, o, -1/3, 0.2?
0.2
Let y = 135.2 - 134.2. Let q(n) = n**2 - 2. Let g be q(3). Let f = 1/118 + 233/354. Which is the second smallest value? (a) g (b) y (c) f
b
Let r = -675/4303 + 1/331. Let w = 21/52 + r. Let z = -13273 + 13269. What is the smallest value in -14, z, w?
-14
Suppose -w + 7 = j, -3*j - 3*w = -4*j + 3. Let u = j - 112/19. Which is the third smallest value? (a) u (b) -1.4 (c) 2
c
Let v = 6 + -5.97. Let p = 536386 + -536384. Which is the fourth biggest value? (a) 2/13 (b) -4 (c) p (d) v
b
Let z = -37 - -34.8. Let w = 2.4 + z. Let d be (-2)/4*-1 + 11/(-22). Which is the second smallest value? (a) d (b) 4 (c) w
c
Let i = -0.2573 + 0.1733. Which is the biggest value? (a) 3 (b) i (c) -1
a
Let z = 0.06 - 5.06. Let t be (116/(-957))/((-336)/(-3234)). Which is the smallest value? (a) -2 (b) z (c) t (d) 3
b
Let m be 10 - (-7 - (-3 + 9056/(-648))). Let q = 0.23 - -4.77. Which is the second smallest value? (a) 2/13 (b) q (c) m
a
Let p = 1214 + -1214.4. Let r = 0.15 - -0.25. Let d be 0 + (-1 - 0)/(-4). Which is the smallest value? (a) d (b) r (c) p
c
Let q = -36.97 + 37.16. Which is the biggest value? (a) q (b) 2 (c) 0 (d) 0.4
b
Let z = -4/4659 + -9218/116475. What is the smallest value in z, 1/177, -2/17?
-2/17
Let f = 0.815 - -0.185. Let p be 1 + -4*3/66 + -1. What is the second biggest value in -93, f, p?
p
Let y = -11.5 + 12.551. Let z = 71 + -70.949. Let l = y - z. Which is the biggest value? (a) l (b) 5 (c) -0.05
b
Let x = 73 + -363/5. Let u = 2386 + -2416. Which is the fourth biggest value? (a) 1 (b) u (c) x (d) -0.2
b
Let p be (2/15)/(924/(-420)). What is the fourth biggest value in p, -2, 0.2, 2/7, -1/5?
-1/5
Suppose 6*j - 10*j = -280. Let s be j/(-14)*(1 - 0). Which is the fourth biggest value? (a) 1/9 (b) -3/4 (c) s (d) 2/9
c
Let h be 1/(-2)*((-1104)/(-46) - 24). What is the third biggest value in -1, h, 27, -19?
-1
Let a = -24562 - -24562. Let m = -1339/6 + 225. What is the third smallest value in a, m, 2?
2
Let h = 117251.9 - 117252. Let n be -1 + -4*(-1)/3. Which is the smallest value? (a) n (b) h (c) 1/9
b
Let t be 1564/2392 + (1/(-1) - (-3)/6). What is the second smallest value in 2/9, 1/8, 54, t, -3/4?
1/8
Suppose -3*z - 4 = -r, -8 + 24 = -5*r + 3*z. Which is the second biggest value? (a) -2/11 (b) 0 (c) r (d) -0.2 (e) -0.14
e
Let y = 148.88 + -149. Let p = 0.88 - y. What is the fourth biggest value in 55, p, 4, 0.5?
0.5
Let k = -0.01042 - -0.31042. Which is the biggest value? (a) 0 (b) 2/15 (c) k (d) 1/9 (e) 7
e
Let d = 209.144 + -209. Let a = d - 0.244. What is the fourth smallest value in -3, 4/5, 2, a?
2
Let o be (4/(-42))/((-4)/(-24)*-2). Let p = 103/594 + -2/297. Which is the fourth smallest value? (a) o (b) 0 (c) p (d) -0.1
a
Let u = -7338 - -7338.5. What is the fourth biggest value in -5, 104, u, -3/7?
-5
Suppose -9*i = -156 - 60. Suppose -2*c = 5*m - 30, -m + 2*c - 6*c + i = 0. Suppose -8*r = -m*r + 20. What is the smallest value in -4/7, 0.8, r?
r
Let t = -2160 - -2135. Which is the third smallest value? (a) -7 (b) 1 (c) t (d) -1
d
Let i = -13056 + 13066. Which is the fourth smallest value? (a) 2 (b) 14/13 (c) -4 (d) i
d
Let t = -19360/3 - -6453. Let v = 68/5 + -194/15. Let g = -3.3 - -0.3. What is the fourth smallest value in t, 18, g, v?
18
Let s = 78064/9 + -8674. What is the second smallest value in s, -1/5, -79?
s
Let r = -1.8 - -2. Let v be (-7 - -11 - 16/8)/(2*-1). Let h = 6 - 9. What is the second smallest value in h, v, r?
v
Suppose 3*t = -2*o - 9 - 12, 0 = t + 3*o + 14. Let l be t + (-4 - 44/(-5)). What is the third smallest value in l, 2/9, 5, 1/4?
1/4
Let j = -0.8976 + 0.7776. Which is the second smallest value? (a) -3 (b) -0.1 (c) j (d) 1 (e) -5
a
Let a = 1316/53 - 11738/477. What is the third biggest value in a, 172, 5/3, 0.2, 1/2?
1/2
Let x = -1977/35 - -281/5. What is the biggest value in 0.4, -14, -3/5, x?
0.4
Let j be ((-13)/(-7) - 2)/1. Let d = -3/341 + 47/8866. Let v = 1141/858 - d. Which is the third biggest value? (a) -2/5 (b) v (c) j
a
Let p = 132 - 132.2. Let w = -63 + 61. Which is the biggest value? (a) p (b) w (c) -20
a
Let q = 7673 - 7704. Which is the smallest value? (a) -9 (b) -0.2 (c) q
c
Let x = 20.91 - 21. Let n = x + -0.91. Let v = -205.2 - -204.9. Which is the third smallest value? (a) n (b) v (c) -5
b
Let r = -248 + 253. Let m be (-10)/48 + 5/(-40). Which is the smallest value? (a) -4 (b) r (c) m (d) 2
a
Suppose -1 = 3*j - 7. Let k = 40.29 - 40.59. What is the fourth biggest value in -3, j, 0, k?
-3
Let r = -10419 - -31259/3. Suppose 125 = -0*t - 5*t. Let z be (4/t)/(6/(-15)). Which is the smallest value? (a) -3 (b) z (c) r
a
Let w(s) = s**3 - 28*s**2 + 53*s - 56. Let l be w(26). Let x be (4/10)/((-114)/l + 1). Which is the biggest value? (a) -0.1 (b) x (c) -37
b
Let f = 0.09095 + -0.59095. What is the fourth biggest value in f, -3, -18, -23?
-23
Let m = -10958 + 10963. Which is the third smallest value? (a) -0.4 (b) -0.7 (c) m (d) 5/2 (e) -58
a
Let q(y) = y**3 + 11*y**2 + 30*y + 4. Let g be q(-6). Let z be g/42*-3 - (-6)/(-28). Let k = 18.7 + -19. What is the third smallest value in 0, k, -2, z?
k
Let j = -4.675 - -8.675. Which is the fifth smallest value? (a) -14 (b) 3 (c) j (d) 1.1 (e) -0.2
c
Let n = -388846088/1308365 + 2/261673. Which is the biggest value? (a) n (b) 2 (c) -4
b
Let j = -121 - -66. Let m = 53 + j. Suppose 5*d + 2*q + 17 = 0, 4*d + q + 21 = -d. Which is the third biggest value? (a) m (b) d (c) 4/3
b
Let y be ((-9)/(-45))/(1/(-5)). Let s be (y - -5 - 4) + -1 + 0. Let n = 4.019 + -0.019. Which is the second biggest value? (a) n (b) -2/3 (c) s
b
Suppose 1782 = 5*y + 3*q, 4*y - 1422 = -22*q + 19*q. What is the second biggest value in y, 1, 0.2, -5?
1
Let k = -2347 + 2346.5. What is the smallest value in k, 2, -4, -166/3?
-166/3
Let y = 60.23 + -65.23. Which is the second smallest value? (a) 9 (b) y (c) 84
a
Let i = 48 + -48.19. Let y = i - 4.81. Let c be -8*(85/90 + (-2 - -1)). What is the fourth smallest value in 3/5, c, y, -3?
3/5
Let i = -3.3 - 1.7. Let s = -5.7 + 1.7. Let r = -659 + 659.5. What is the smallest value in s, r, i, 4?
i
Let s = 17.69 + -15.69. Which is the second biggest value? (a) s (b) 12 (c) 0.2 (d) 0.1 (e) -9
a
Let u = 0.04111 - 105.19111. Let h = u + 105. Let y be (-33)/(-18) - (-
|
{
"pile_set_name": "DM Mathematics"
}
|
594/48)/(-11))?
5/3
Calculate -26*256/(-2080)*(375/20)/3.
20
What is the value of ((-34)/(-136))/(14/1484*3/(-6))?
-53
What is ((-4)/(-3096)*-3)/(((-13)/(-143))/((-6)/(-11)))?
-1/43
What is ((29412/(-1032))/((-3)/2))/(4/(-20))?
-95
Calculate ((-2898)/9108)/((-20)/55).
7/8
Evaluate ((-12670)/(-905))/((-42)/(-8)).
8/3
What is (-36)/(-351)*2628/(-3504)?
-1/13
Evaluate 88/24*(-140)/(-385)*6/(-4).
-2
Calculate -22*22*12/330*(-315)/1386.
4
Calculate 952/136*(-176)/77.
-16
Evaluate (-5)/3*(28*(-168)/9800)/((-12)/(-15)).
1
What is the value of 3987/(-6645)*((-70)/(-108))/7?
-1/18
Evaluate (16497/(-1269))/((-13)/19).
19
20/96*19*(-24)/(-3040)*-2
-1/16
Calculate (-66)/22*923/39.
-71
What is the value of 2090/15960*(-385)/(-363)?
5/36
Evaluate (45/77)/((-53715)/300804).
-36/11
What is -46*(-53)/32913*243?
18
Evaluate (-238)/36*(-948)/(-4029).
-14/9
(-3213)/5355*(-2)/(-15)*30/32
-3/40
(3/40)/(((-1197)/(-385))/57)
11/8
(-55)/(-22)*6531/(-4665)
-7/2
Evaluate (-1166)/(-53)*378/594.
14
What is the value of (-200)/(-4500)*-750*(-18)/(-8)?
-75
Calculate (8/1144*-6)/((-55)/((-108900)/(-135))).
8/13
Evaluate (1560/(-1014))/(170/(-5525)).
50
(-4)/6*((-8514)/528)/(2/16*-2)
-43
What is the value of -24*(-2)/(-54)*27?
-24
1/(-5)*1*9*(-50)/1125
2/25
Calculate 91*(204/119)/12.
13
Evaluate (-6)/3*4/(-16)*(858/(-1))/(-11).
39
18/(-70)*(-1010)/(-106656)*-88
3/14
Calculate ((-982)/(-491))/(85/(-187)).
-22/5
(40/36)/(-5)*3*38/418
-2/33
(-48)/2520*-60*210/(-108)
-20/9
Evaluate 225/200*8/(-30)*(-72)/(-54).
-2/5
Evaluate (-50)/(-75)*((-7)/(-28))/((-4)/1704).
-71
Calculate -1*3*4158/4536.
-11/4
((-22)/((-6160)/(-105)))/((-30)/6800)
85
Evaluate 23*((-2832)/72)/(-59)*75/(-10).
-115
Calculate ((-1065)/1278*-3*(-1)/(-35))/((-24)/(-21)).
1/16
Evaluate ((-30)/(-525)*(-5)/3*-3)/(60/(-2730)).
-13
Evaluate (6/13)/((616/(-33))/(-28)).
9/13
What is ((-42)/15)/(2/10*(-36)/(-360)*10)?
-14
Evaluate ((-78435)/(-29050))/((-9)/15).
-9/2
Evaluate (-2*(-6)/400)/(630/(-21840)*91).
-2/175
Evaluate (((-1332)/1350)/(-37))/(4/(-20)).
-2/15
What is the value of 1*34*11979/7986?
51
Calculate 2/144*(-30)/5*-7*(-2)/42.
-1/36
Calculate 121128/(-2744)*(399/(-9))/(-19).
-103
3/(((-6)/(-10))/((-2)/(-5)))*(-9999)/(-6363)
22/7
What is the value of (3/((-54)/72))/(110/22)?
-4/5
(-2)/10*(-185)/111*3
1
What is the value of 15/(-6)*((-2)/(-4))/(5250/(-109200))?
26
What is the value of (19/(779/(-82)))/71?
-2/71
(7676/4237)/101*(-5)/(-10)
2/223
(-43)/((-2365)/(-165))*4/594
-2/99
Calculate -49*46/(-16905)*(-24)/3.
-16/15
Calculate (-1)/(-54)*-5*42/7350*35.
-1/54
Calculate 2/(-9*(-13)/(-3861)*(-6)/(-4)).
-44
Evaluate 2055/1370*1/1*(256/132)/(-4).
-8/11
Calculate (9/(-40))/((546/(-1274))/(80/784)).
3/56
What is the value of ((-960933)/732)/(-89)*1*-8?
-118
What is the value of (-1314)/(-3285)*220/(-4)*1?
-22
Calculate 75*(-2)/4*((-14)/60)/((-26271)/90072).
-30
(112/((-24640)/(-3267)))/(57/(-95))
-99/4
What is (-2*(-13)/(-26))/(11/11)*-31?
31
What is the value of (-2)/10*380250/(-1950)?
39
Calculate ((-20)/110*7/14)/(52/13).
-1/44
Evaluate ((-9)/(-126)*(-294)/(-252))/((-8)/(-544)).
17/3
What is (4*(-1)/(-93))/((-85)/(24480/64))?
-6/31
What is the value of ((24/(-560))/((-42)/35))/(14/((-4368)/65))?
-6/35
Calculate ((5/(-4))/5)/((-209)/17765*(-15)/4).
-17/3
Calculate (-2*6*28*23/966)/((-2)/(-4)).
-16
Calculate 1/((-4)/56)*(-11)/66*314/3297.
2/9
What is (9398/(-1258))/((114/102)/(-19))?
127
Calculate (-17)/85*600/32*40/(-70).
15/7
What is the value of (-68)/((-110160)/567)*4/(-14)?
-1/10
Calculate (1660/(-1079)*-3)/(-5).
-12/13
Evaluate (-1*(-84)/(-243))/((-32)/144).
14/9
What is the value of ((-266)/(-57))/((-273)/3393)?
-58
Evaluate ((-24)/(-10))/2*(-17)/((-1224)/(-960)).
-16
((-648)/(-1848))/(7/((-385)/(-15)))
9/7
Calculate 5328/54*405/2160.
37/2
Evaluate 7*(31920/196)/76.
15
Evaluate 216/((-8208)/76)*-1*17.
34
What is 198/30294*(-21)/(-56)*12?
1/34
What is the value of 5/10*(1/7)/((-988)/(-3952))?
2/7
-87*(-2)/(-3)*(-76)/1596*42
116
Evaluate 2299*((-13068)/132)/1881.
-121
Evaluate ((-4725)/5670)/((-4)/120).
25
Calculate (3024/(-1080)*10/2)/(2/(-24)*4).
42
What is (1452/(-2640))/(((-21)/210)/((-1)/2))?
-11/4
(-5)/(-6)*((-240)/1400)/(6/28)
-2/3
Evaluate 31924/(-4858)*70/5.
-92
304*27/9180*85
76
What is ((8/(-5160)*9)/((-6)/15))/(72/144)?
3/43
Calculate 1/(11*(-110)/(-363)*3*-1)*-2.
1/5
Evaluate (138/(-6))/(-2392)*(-448)/(-14).
4/13
What is the value of (-14)/(-336)*296*(-2)/(9*(-12)/(-162))?
-37
Calculate ((-1200)/525)/(37/((-3885)/(-450))).
-8/15
Calculate (2256/(-2632)*(-7)/(-10))/((-8)/((-48)/(-135))).
2/75
What is the value of 63*(-21)/(-378)*(-20)/70*-67?
67
What is the value of 6/(-10)*270/(-11583)*55?
10/13
What is (-2)/(((-3952)/114)/52)?
3
Calculate 3/((((-108)/(-156))/(-3))/((-14)/(-182))).
-1
What is (-192)/(-216)*639/37488?
1/66
-34*((-77)/(-238))/(-11)*12*(-5)/(-160)
3/8
What is the value of ((-34)/10)/((5031/390)/(-129)*(-20)/(-90))?
153
Evaluate (86674/3171)/(2/3).
41
What is the value of ((-299646)/(-124))/179*(-4)/(-6)?
9
What is ((-23572)/(-3320))/(2/7*(-7)/(-20))?
71
(-371)/(-1696)*4*-40
-35
Calculate ((-6)/(-54)*3*9)/(35/30).
18/7
What is ((-88)/(-11))/(2/16*428/(-107))?
-16
Evaluate (7*2/(-35))/((-68)/7310).
43
What is the value of 18/(-45)*535/1498?
-1/7
Calculate ((287/205)/(49/(-28)))/1.
-4/5
(45*2/6)/(30/(-560)*-7*3)
40/3
What is (36/35)/((-48)/10*(-8890)/199136)?
24/5
Calculate ((-3240)/(-1600))/(60/100).
27/8
What is the value of ((-368)/69)/16*93*(-6)/6?
31
Evaluate ((-9)/(-2))/((-726)/(-1760)*-10*(-1)/(-4)).
-48/11
Evaluate (((-70)/(-2856))/(165/88))/((34/9)/2).
2/289
What is (-32)/(-385440)*-66*(-5)/1?
2/73
What is the value of 51216/2716*2/(-8)?
-33/7
Evaluate (38/1482)/(22/(-143)).
-1/6
Evaluate (((-504)/(-32))/(-21))/((-551)/228*-3).
-3/29
What is the value of (-600)/160*-13*48/62400?
3/80
((-7)/(-12))/((20482/(-1292))/(-77))
17/6
Calculate 12/(-18)*4170/139*-2.
40
Evaluate -22*((-2)/(-6))/((-1)/(12/8)).
11
Evaluate (-16)/20*300/(-400)*30/171.
2/19
Evaluate (-11)/22*72/60*55.
-33
Calculate (-2)/20*(44/(-308))/(8/(-448)).
-4/5
What is the value of (12*(-4)/588)/(12/(-154))*(-3)/1?
-22/7
(-14)/(-21)*3/(-85)*10
-4/17
What is the value of -24*4/(-216)*39/(-1066)?
-2/123
What is the value of (5/(-140)*-8)/((-24)/(-14))*(-11664)/(-16200)?
3/25
What is the value of (1/2)/1*((-128128)/(-1040))/154?
2/5
Calculate (147*(-64)/672)/((30/2)/(-3)).
14/5
What is ((-7)/(-4))/((-2859)/(-22872))?
14
Evaluate (((-331)/(-2317))/(6/(-21)))/((-3)/780).
130
(4/(-53))/(488/(-246684)*-337)
-6/53
(858/(-2080)*-16)/(((-2)/30)/((-54)/(-81)))
-66
((-37653)/(-326))/(-11)*4*(-15)/(-18)
-35
Evaluate ((-85)/(-1020))/((-16)/(122496/(-22))).
29
88*(40/(-2))/(-80)
22
((-7)/(-6))/(869/(-36498))
-49
What is the value of ((-439175)/17567)/((-2)/(-6))?
-75
What is (-2)/2*15/9*32/160?
-1/3
What is -2*3*112574/15351?
-44
What is 46/230*(-465)/9393?
-1/101
What is the value of (12/(-5)*104320/(-11736))/2?
32/3
What is the value of ((-16)/8)/((-2)/4)*69/(828/336)?
112
Calculate -5*7/315*9/((-19)/(76/40)).
1/10
What is the value of ((-4342)/(-11523))/((-429)/198)?
-4/23
What is the value of (12/(-460))/((-388)/(-485)*4/(-32))?
6/23
What is the value of (54/(-20))/(((-33)/55)/(84/(-910)*-13))?
27/5
What is ((-495)/(-330))/((-6)/66*(378/4)/9)?
-11/7
((-48)/440*10/4)/(264/(-2464))
28/11
59/((-540676)/(-237))*8/(-12)
-1/58
What is the value of (3/20)/(((-4450)/420)/(-89)*(-30)/50)?
-21/10
Evaluate (6/8385)/((-6864)/(-73788)).
1/130
Evaluate 1912/1195*(-3)/(-276).
2/115
What is the value of (198/(-378))/((-64)/1120)*4/(-280)*-4?
11/21
Evaluate (9/(-15))/((-34)/((-4930)/(-783)))*71*9.
71
What is (-10)/((-47700)/(-6))*15?
-1/53
((-280683)/71970)/((-468)/10)
1/12
What is ((-5334)/(924/(-22)))/1?
127
(-15)/(-8280)*69*240
30
What is the value of (30/115)/(1486/85445)?
15
What is the value of 1*70/(-5)*-4*8/128*1?
7/2
Evaluate 120/10*9/156*12/(-6).
-18/13
Evaluate (-14)/((-2)/1)*((-1581580)/2548)/(-55).
79
What is (3*-16*(-3)/(-504))/((-1)/161)?
46
What is 6/(12*390/2340*(-6)/98)?
-49
What is the value of 118/(9676/14637)*(-6)/(-21)?
51
Evaluate ((168/(-280))/(1/2*-123))/((-74)/185).
-1/41
(11226/31807)/(21/459)
54/7
What is 5*17/(3315/(-1014))?
-26
Evaluate ((-640)/48)/40*-138.
46
What is 4/(-98)*(-6265)/(-45645)?
-2/357
16*(-29)/464*-1
|
{
"pile_set_name": "DM Mathematics"
}
|
= 2*q + 5*h - 33, 3*h - 31 = -4*q. Suppose -d + q*d = 6. Suppose 0 = 16*t - 12*t - 44. What is the least common multiple of d and t?
22
Let k be (-3 - -3) + 0 + (-4262)/5652. Let d = 5/157 + k. Find the common denominator of d and 89/8.
72
Let a(p) = -p**2 - 15*p + 30. What is the least common multiple of a(-12) and 132?
132
What is the common denominator of 119/24 and 5 + 4383/(-648) + (-12)/(-9)?
72
Let i = -227 - -267. What is the smallest common multiple of i and 70?
280
Suppose 313 = -i + 5*j, -611 = 2*i - j - 4*j. Calculate the common denominator of (i/(-90))/(-5 + 81/15) and -37/8.
72
Suppose -20 = 4*o, -o - 4*o = -4*t + 17. Suppose 0*b - 40 = -4*b. Calculate the lowest common multiple of b and t*6*(-24)/18.
80
Suppose 0 = 2*f - 59 - 7. What is the common denominator of 10/f + (13 - 14) and -89/6?
66
Let i = 32 - 30. Suppose 3*f - 85 = 5*l, -4*f - i*l - l = -65. What is the smallest common multiple of f and 14?
140
Suppose k = -5*o - 930, -2*o + o + 906 = -k. Let y be 1/(-2) + (-11)/2. What is the common denominator of (y/(-90))/(12/k) and 139/12?
36
Let m = 195 - 113. Let a = m + -60. Calculate the smallest common multiple of a and 8.
88
Suppose -f + 2*r + 42 = -72, -4*r - 12 = 0. Find the common denominator of 426/(-4)*6/f and (-25)/(-125) + (-94)/(-20).
60
Suppose 0*t - t + b = -5270, 2*b = -4*t + 21080. Let n = 52583/10 - t. What is the common denominator of n and -19/2?
10
Suppose 3*l + 3 = i + i, -3*i = 0. Let a be ((-10)/l)/((-2)/(-8)). Suppose -3*y = -y - a. Calculate the lowest common multiple of 14 and y.
140
Suppose -15*v + 9*v = -24. What is the least common multiple of -1 + 2 + (19 - v) and 22?
176
Suppose 0 = -6*s - 19 - 29. Find the common denominator of (2/s)/(-5 - 226/(-45)) and 23.
4
Let s = -90 - -85. What is the least common multiple of 39 and (12/s)/(-6 - (-342)/60)?
312
Let y be (-2)/(-3)*(-16)/192. Let b = -323/180 + y. What is the common denominator of b and 19/20?
20
Let c(o) = -2*o + 1 + 21 - 5. Calculate the least common multiple of 3 and c(6).
15
Let s = -378271/224760 + -5/14984. What is the common denominator of s and 3/80?
240
Let m = -2/139 - -848/973. Suppose -10 = -y - y. Suppose -18 = -u - 2*o, -2*o + o - 123 = -y*u. Calculate the common denominator of u and m.
7
Let y = -37 + 91. Suppose 8*b = -b + y. What is the lowest common multiple of b and 16?
48
Let b = -1912938/5 - -63211729/165. Let n = b - 514. What is the common denominator of n and 13/3?
33
Let d be (18/60)/(-9*(-2)/(-35)). Let f = d + 71/4. What is the common denominator of f and -59/10?
30
Let g be (-106274)/(-126)*102/4412. Let b = -2/3309 - g. Let i = 557/140 - 11/140. What is the common denominator of i and b?
10
Let s = 39/178 + -871/1335. Calculate the common denominator of s and -53/78.
390
Let l = -5 - -1. Let r be l + 0 + 2/2. What is the lowest common multiple of 14 and ((-168)/8)/(r/2)?
14
Let w = -30665656307 - -339162158481693/11060. Let v = 2/2765 - w. Find the common denominator of ((-2)/(-12))/(21/(-279)) and v.
28
Let v be 11*1 - -1*(-3 + 0). Find the common denominator of ((-21)/96)/(6/v) and 43/4.
24
Let b = 816/5 - 5341/30. Calculate the common denominator of (-70)/(-6) - (-8)/16 and b.
6
Calculate the common denominator of 95/48 and 0*6/60 + 61/(-6).
48
What is the common denominator of -45/14 and (-12)/206*454/(-8) + -3?
1442
Let v be 18 + -2*(-5)/(-5). Suppose -3*w + 30 = 2*s + s, 0 = 4*s - 2*w - v. Suppose m + s - 52 = 0. What is the common denominator of m and 13/9?
9
Let s = 40 - 8. What is the common denominator of 3/54 - s/24 and 64/15?
90
Let w be 6 + -4 - (-2)/(-1). Let n be w - -1 - (1 + 32). Calculate the common denominator of 41/16 and ((-12)/n)/(12/(-134)).
16
Let i = 350 + -1773/5. Calculate the common denominator of i and 12/(-48)*424/(-22).
55
Let q = 4976 + -29993/6. Let m = 58680/13 - 4516. Let d = m + 199/26. What is the common denominator of d and q?
6
Let y(w) = -14*w + 2. Let z be y(10). Let a = 149 + z. Calculate the lowest common multiple of a and 3.
33
Suppose 3*q - 10 = -7, -q = 3*x - 16. Calculate the least common multiple of x and 133.
665
Let g = -1325 + 1360. Calculate the least common multiple of g and 5.
35
Let v(l) = -l**2 - 15*l - 36. Let d be (-128)/18 + 1/9. Calculate the least common multiple of v(d) and 74.
740
Let t = 520 + 50. What is the common denominator of -131/6 and (-1)/3 + 0 - (-700)/t?
114
Let g(p) = -p**3 + 7*p**2 + p + 1. Let t be g(7). Suppose -m + t = -78. Find the common denominator of 1 + m/(-4)*1 and -83/4.
4
Let g = 35 + -35. Suppose 2*u - 30 + 2 = g. Calculate the lowest common multiple of u and 4.
28
Let f(k) = k - 19. Let m be f(-7). Calculate the common denominator of 85/8 and m/6*18/(-12).
8
Let v(d) = -10*d + 6. Let o be v(-2). Let l = o + -19. Calculate the least common multiple of l and 10.
70
Let q be (-90)/(-5) - (1 + -2)/1. Let h(a) = 2*a**2 - 36*a + 10. Calculate the smallest common multiple of h(q) and 18.
144
Let y(w) = w**2 - 10*w + 7. Let i be y(10). What is the smallest common multiple of 5/((-15)/12) + i and 12?
12
Suppose 11*m - 46 = 20. Calculate the lowest common multiple of m and 228.
228
Let q = -103493/35 - -2956. Calculate the common denominator of (-201)/(-120)*4*(-8)/(-12) and q.
105
Let o = -12 - -14. Suppose 2*c - 18 = o. What is the least common multiple of 8 and c?
40
Let r = 128 + -2183/18. What is the common denominator of 17/72 and r?
72
Let b = -611/187 - -37/17. Calculate the common denominator of b and 53/110.
110
Let q = -17 + -74. What is the least common multiple of 6 and (-156)/q*(5 + (-1 - -3))?
12
Suppose 5*v + 3*p - 828 = 0, -4*p - 401 - 90 = -3*v. What is the smallest common multiple of 20 and v?
660
Find the common denominator of ((-27985)/(-2154) - 13)/((-1)/(-9)) and 115/18.
6462
Calculate the lowest common multiple of 9 and (-49)/(-14) - 3/6.
9
Suppose -3*l + 20 = 2*l. Suppose l*r + i = -10 + 1, 0 = r + i. Find the common denominator of (1 + r)/(8/(-158)) and -19/6.
6
Suppose -5*d + 18791 = 61661. Let n = d - -120119/14. Let b = -909/4 - -214. Find the common denominator of b and n.
28
What is the common denominator of 103/130 and ((-3)/(-6))/(560/2604)?
520
Suppose -x + 65 = 4*x. Suppose 0 = -z - 2*u - 2, 0 = -5*z - 3*u + 7*u + 46. What is the common denominator of (-327)/(-36) - (-4)/z and x?
4
Calculate the least common multiple of 6 and (-11)/55*-255 - 3/(-1).
54
Let r = -19 - -4. Let c be -30*(-1)/(r/18). What is the common denominator of -37/3 and (3/c)/((-2)/316)?
6
Let t(g) = g**3 + 7*g**2 - 8*g + 5. Let o be t(-8). Suppose 4*h - 29 = m, -m - 2*m - 45 = -o*h. What is the least common multiple of 4/10 - 196/(-10) and h?
60
Let x = -20 + 22. Calculate the common denominator of -121/6 and -75*-2*x/(-88).
66
Suppose -n - 2*n = h + 7, -4*h = 4*n - 12. Suppose 66*a + 55*a = 1210. What is the lowest common multiple of h and a?
40
Suppose -5*n + 31*g + 30 = 35*g, g = -3*n + 25. Calculate the lowest common multiple of n and 4.
20
Let h(z) = -z**2 - 31*z + 18. Let g be h(-16). Suppose 2*q - 7*q - g = -x, 3*q = 4*x - 165. Let v = q - -89. What is the smallest common multiple of v and 3?
114
Let a(n) be the second derivative of -n**5/20 - 7*n**4/12 - 5*n**3/3 - 4*n**2 - n. What is the least common multiple of a(-6) and 3*(-15)/(-45) - (-4)/(8/18)?
80
Let v = 3322/1073709 - 1/17388. Let p = v - 26185/988. What is the common denominator of p and 29/10?
10
Let o = 10/689 - -23255/59254. Calculate the common denominator of -71/6 and o.
258
Let t(c) = 5*c + 116. Suppose -x = -v + 29, 5*v - 5*x + 3*x = 130. What is the smallest common multiple of v and t(-21)?
264
Let n = -135/2 - -233/3. Find the common denominator of n and -101/276.
276
What is the common denominator of (-1656)/64 + 15 + (-6)/8 and -23/44?
88
Let t(a) = 4*a - 6. Let j be t(-3). What is the common denominator of -36/7 and 1*(-2)/(-3) + j/6?
21
Let i be ((-1)/2)/(6/(-60)). Suppose 2*c = c - i*k - 6, c = -3*k. What is the least common multiple of 20 and c?
180
Suppose -2*o - p = -23, -3*p = 4*o - 4*p - 43. Suppose g - o = -0*g. What is the least common multiple of 1 and g?
11
Suppose 0 = -3*z - 4*v - 14, z + 2*z - 5*v - 31 = 0. Let d be 1515846/(-8)*z/(-24). Let x = 15795 - d. Find the common denominator of x and 17/10.
80
Let v = -47658 + 6672151/140. C
|
{
"pile_set_name": "DM Mathematics"
}
|
*k**3 - 5*k**3 + 0*k**3.
143*k**3
Expand (1 + m - 1)*(5 - 1 - 5) - 3*m + 3*m - 3*m - 395*m - 457*m + 507*m + m + 0*m + m.
-347*m
Expand (70 - 97 - 532)*(-2*t + 7*t - 14*t).
5031*t
Expand (80*u - 32*u - 105*u - 2*u**3)*(-55*u + 5 - u**2 + 55*u).
2*u**5 + 47*u**3 - 285*u
Expand (-622*n + 22*n**3 - 58*n**2 + 780*n + 60*n**2)*(-3 + 0 + 1).
-44*n**3 - 4*n**2 - 316*n
Expand (-2 - q + 2)*(-61*q**3 + 557*q**3 + 65*q**3).
-561*q**4
Expand 3 - 3 - l**4 + (-3*l + 3*l + 3*l**2)*(l**2 - 35*l**2 - 60*l**2) - 3*l - l**4 + 3*l + 18*l**3 - 18*l**3 + 37*l**4.
-247*l**4
Expand (3*r**3 - r**3 + 2*r**3)*(-16*r - r - 20*r) + 47 - 6*r**3 - 47 + 3*r**4.
-145*r**4 - 6*r**3
Expand 24 - 24 + 4*w + (-6 + 5 + 0)*(1 - 1 - w) + 2*w + w - 5*w + 10 + 6*w - 10 + (-4 + 2 + 1)*(4 + w - 4) + w + w + 0*w.
10*w
Expand (-88 - 62 + 79 + (1 + 1 + 1)*(-4 + 2 + 0) - 3 + 1 + 0)*(2*d + 5*d - 2*d).
-395*d
Expand ((-1 - 1 + 4)*(-12 + 4 + 11) - 3 + 6 - 5)*(-27*x**5 - x**5 - 2*x**5).
-120*x**5
Expand (7398 + 7387 - 14855 + 135*s)*(-1 + 0 + 2).
135*s - 70
Expand (901*v - 449*v - 453*v + 6*v**2 - 41)*(2 - 4 + 6).
24*v**2 - 4*v - 164
Expand (-11 + 17 + 12)*(4 - 2 + 0)*(-4*q**4 + 2*q**4 + 0*q**4 - q**4 - 6*q**4 + 6*q**4 + 6*q + (2*q**3 + 0*q**3 + 0*q**3)*(5 - 5 - q)).
-180*q**4 + 216*q
Expand (14*m - 14*m + 2*m**2)*(2*m + 3*m - 4*m) - 2*m + m**3 + 2*m - 14*m**3 - m**3 - m**3 - 31*m**3 + 20*m**3 + 43*m**3.
19*m**3
Expand (18*u - 39*u + 14*u + 3*u - 2*u + u + (5 - 3 + 0)*(-u + u + 2*u) - 2*u + 1 - 1)*(-3 + 2 + 5)*(4*u - 2*u + u).
-36*u**2
Expand (-370*z - 2530 + 2530)*(-5*z - 3*z - 2*z).
3700*z**2
Expand (-2*n + n + 0*n)*(-8306*n**2 + 22898 - 22898).
8306*n**3
Expand -72*n**2 + 72*n**2 + 27*n**4 + (2*n - 6*n - n + n + 0*n - 3*n + 2*n + 1 - 1 + (-4 + 5 - 3)*(0 + 0 - n))*(-3*n**3 + 2*n**3 - n**3).
33*n**4
Expand (-5*d - 3*d - 119*d**3 + 121*d**3)*(-1 - 5*d + 1)*(-5 + 2 - 1).
40*d**4 - 160*d**2
Expand ((g - 8*g + 2*g)*(-3 + 3 - 2) - 5*g - 8*g - 33*g)*(-2*g**2 - 3*g**2 - 7*g**2).
432*g**3
Expand (94 - 47 - 55)*(0*g**3 + 3*g**3 - 2*g**3) + (-1 + 2 - 4)*(-3*g**3 + 0*g**3 + 0*g**3).
g**3
Expand -3*j**2 - j + j + (5*j + 4*j - 2*j)*(-4*j - 5*j + 0*j)*(6 - 2 + 6).
-633*j**2
Expand (-b + b - 2*b**2)*(-19*b - 15*b + 11*b) + b**3 + b**3 + 0*b**3 + (2 - 2 + b)*(5*b**2 + 3 - 3).
53*b**3
Expand -55571*s**2 + 1031*s**4 + 55571*s**2 + 0 + 0 - s**4 + 2 + 2*s**4 - 2 + (2*s + 1 - 1)*(2*s**2 - 2*s**2 + 2*s**3) + 6*s**4 + 4*s**4 + 0*s**4.
1046*s**4
Expand (2*y - 2*y + 2*y)*(2 - 3 - 1)*(-3 + 3 - 3*y**2)*(-4783 - 2712 + 2455)*(2 - 2 + y).
-60480*y**4
Expand 7 - 28 + 21 - 211*k**3 + (1 - 1 - k**2)*(5*k - k + k).
-216*k**3
Expand (1686 + 1661 - 3226)*(-3*o + 4*o + 0*o).
121*o
Expand (109 + 267*f**2 - 238 + 8*f + 130)*(0 - 1 + 2)*(3 - 1 + 0)*(1 - 2*f - 1).
-1068*f**3 - 32*f**2 - 4*f
Expand (2*b**4 - 36*b**4 + 7*b**4)*(-6*b + 9 - 9)*(3 - 2 - 2) - 12 + 12 + 11*b**5.
-151*b**5
Expand -2*r + 0*r + 5*r - 4 + r + 4 + r + r + 0*r + 5*r + 0*r - 3*r - 2*r + 0*r + 3*r + (2 - 4 + 3)*(4*r - 3*r + 0*r) + (-8*r - 8*r - 57*r)*(-4 + 2 + 1).
83*r
Expand (2*u**3 - 3*u**3 - u**3)*(5*u**2 - 4*u**2 - 3*u**2 + (0*u**2 + 2*u**2 - 3*u**2)*(4 - 5 + 0) - u**2 + 10*u**2 + 5*u**2 - 994*u**2 + 593*u**2 + 586*u**2).
-396*u**5
Expand 3 - 4*r**4 - 3 + (5*r + 2 - 10*r + 49*r**3 + 6*r)*(11*r - 14*r - 15*r).
-886*r**4 - 18*r**2 - 36*r
Expand -106 + 146*u - 144*u - 2*u**3 + 23 + u**2 + (6 - 2 - 3)*(2*u**3 + 2*u**3 - 7*u**3) - 3*u**3 + u**3 - 2*u**3.
-9*u**3 + u**2 + 2*u - 83
Expand 2 + k**2 - 1119*k + 12*k**5 - 2*k**2 + 1118*k + (-2 + 2 - 2)*(-k**3 + k**3 + k**5) + (-8*k + 0*k - 2*k)*(-5*k**4 + k**4 + 3*k**4).
20*k**5 - k**2 - k + 2
Expand (-35567 + 196*t**3 + 35567)*(-45 + 10*t + 45)*(-4*t - 1 + 4*t - 3*t).
-5880*t**5 - 1960*t**4
Expand (-w**3 + 0 + 0)*(-719*w**2 - 2436*w**2 - 1132*w**2 + 1046*w**2).
3241*w**5
Expand (295*f**2 - 250*f**2 + 367*f**2 + 1 - 1 - 2*f**2 + 0 + 0 - 2*f**2 - 4*f + 4*f + f**2 + (f - 2 + 2)*(2*f - 4*f + 0*f) - 3 - f**2 + 3)*(4*f + 0*f - 3*f).
406*f**3
Expand -29 + 80*m**4 - 163*m**4 + 82*m**4 + (-m + m - 3*m**3)*(-m + m + m) + 3*m**2 - 3*m**2 - 19*m**4.
-23*m**4 - 29
Expand -x**5 + x**5 - x**5 + (-180*x**3 - 408*x**4 + 180*x**3)*(x - 2*x + 4*x).
-1225*x**5
Expand (-3*r**2 + 0*r**2 + 2*r**2)*((r**2 + 1 - 1)*(-3 - 8 + 2) - 76*r**2 - 3393*r + 3393*r).
85*r**4
Expand (-k - k + 4*k)*(k - 3*k + 3*k) - 836 - 845 + 28580*k**2 - 839 + 2520.
28582*k**2
Expand (57*k + 87*k - 40*k)*(360 + 348 - 708 + 363*k**2).
37752*k**3
Expand (a**2 - 4 + 4)*(7*a + 3*a + a) - 2*a**3 + 13*a**3 - a**3 - 5*a**3 + a**3 + 6*a**3 + (1 - 1 + a)*(2*a**2 - a**2 - 4*a**2).
20*a**3
Expand (-3*u + 7*u - 2*u)*(-2 - 2 + 5)*(102 + 90 + 3)*(3 + 1 - 2)*(4*u**4 - u**4 - u**4).
1560*u**5
Expand (2*u**2 - u**2 + 0*u**2)*(340 - 167 + 22 + 306 + 0*u - u).
-u**3 + 501*u**2
Expand (7316*m - 10842*m - 1643*m - 10753*m)*((1 - 4 + 5)*(-2*m + 3*m - 3*m) + 2 - 2 + 2*m).
31844*m**2
Expand (3 - 4 - 1)*(0*o + 2*o + 0*o) + 2*o - 3*o + 0*o - 1 + 1 + 2*o - 3768 - 10*o + 3768.
-13*o
Expand (-d - 6*d + 4*d)*(-d + 4*d - 2*d) + (d + 3*d - 2*d)*(0*d + 4*d - 3*d) - 3*d**2 + 5*d**2 + 2*d**2 + (-3*d**2 - d**2 + 2*d**2)*(-13 - 12 + 10).
33*d**2
Expand (11 + 6 + 0)*(1 + 1 - 4)*(4*n - 11*n - 5*n).
408*n
Expand (441*k**3 + 143*k**3 - 66*k**3)*((4 + 0 - 2)*(-k - 6*k + 5*k) + 4*k - 2*k - 3*k).
-2590*k**4
Expand (6 - 5 + 3)*(-3 + 1 + 6)*(-1408*y + 1965*y - 1417*y).
-13760*y
Expand (2623*r + 7920*r + 4246*r)*(-3*r**3 - 2*r**3 + 3*r**3).
-29578*r**4
Expand (5 + 4*h**2 - 5)*((-48 + 36 - 45)*(5 - 3 - 4) + 2 - 6 + 3).
452*h**2
Expand -3*c**2 + 7*c - 7*c + (0*c + 2*c + 0*c)*(-3 + 3 + 2*c) - 23*c**2 - 482 + 482.
-22*c**2
Expand (-2*q**2 - 14*q**2 + 5*q**2)*(-2 + 2 - 2*q + (4*q - 3*q + 0*q)*(-4 - 3 + 6) - 8*q + 13*q + 3*q).
-55*q**3
Expand (-7 - 25 - 13992*m + 13990*m)*(-m**2 - 3*m**2 + m**2).
6*m**3 + 96*m**2
Expand (475 - 170 - 5401 - 6190 - 1914)*(2*b**2 - 3*b**2 - 2*b**2).
39600*b**2
Expand (16*m + 46*m + 10*m)*(-m - 3 + 3)*(-54*m**3 - 18*m + 37*m + 64*m**3).
-720*m**5 - 1368*m**3
Expand (-3*h + 2*h + 4*h)*(21 + 14 - 7)*(38 - 7 + 14).
3780*h
Expand -3*z**3 - 5*z**3 + 10*z**3 + (-9*z + 9*z - 7*z**2)*(-274 + 274 - 35*z) + z**3 + 4*z**3 - 4*z**3.
248*z**3
Expand -5241 + 8*a + 5241 + (3 + 2 - 3)*(-2*a + 3*a - 3*a) - a - a + 4*a - 3*a - 3*a - a.
-a
Expand (0*z + 4*z - 2*z + (1 - 1 - 2)*(1 + 5 - 3)*(6*z - 8*z + 7*z))*(-28 + 39 - 66) + 5 - 5 + 2*z.
1542*z
Expand (-1 + 2*w**2 + 1)*(0 + 0 - 2*w) - 2*w**3 + 136*w**2 - 209*w**2 + 162*w**2.
-6*w**3 + 89*w**2
Expand (3 - 2 - 14)*(20*d + 4*d + 155*d - 3).
-2327*d + 39
Expand 865 + 17*o - 865 + (3 - 1 - 1)*(-22*o - 12*o + 3*o).
-14*o
Expand -p**4 + 4*p - 4*p + (-2*p + 0*p + 3*p)*(2*p + 2*p**3 - 2*p) + (2*p - 2*p + 4*p**3)*(-38 - 63*p + 23 + 17).
-251*p**4 + 8*p**3
Expand (-1923 - 3361 + 3676 - 1065)*(-3*w**2 - w**2 + 2*w**2).
5346*w**2
Expand (2134 + 344*b - 2134 + (-b + 0*b + 0*b)*(1 + 3 - 3) + 2*b - 2*b + 2*b)*(-3 - 2 + 6).
345*b
Expand ((3 - 5 + 1)*(-5*y**3 + 0*y**3 + 4*y**3) - 50*y**3 + 469*y**3 + 147*y**3)*(4*y + 4*y - 5*y).
1701*y**4
Expand (-762503 + 2978*o**4 + 762503)*(0*o - 2*o + o).
-2978*o**5
Expand ((3*l - 3*l + 2*l)*(-2 + 2 - 1) - 2 + 694*l + 1341*l + 3189*l)*(3*l**2 - 2*l**2 - 2*l**2).
-5222*l**3 + 2*l**2
Expand (3 - 1 - 3)*(-5*k - k + 3*k) + (76*k - 8*k - 8*k)*(0 - 1 + 3).
123*k
Expand (7*m**2 - 17*m**2 + 0*m**2)*(-3 + 2 + 0)*(4 - 13 - 16).
-250*m**2
Expand (-64 - y**2 + 64)*(0*y + 2*y + 0*y) - y**3 + 0*y**3 - 3*y**3 + (-y + 4*y - 2*y)*(45*y**2 - 82*y + 82*y).
39*y**3
Expand -57*x + 1156*x + 658*x + (-5 + 5 + 2)*(3*x + x - 3*x) + (-5 - 2 + 2)*(x - 2 + 2)*(2 - 3 + 0).
1764*x
Expand (-9*j - j**3 + 9*j)*(9 - 9 - j) + (4 - 4 + j)*(-97*j**3 + 19250*j**2 - 19250*j**2).
-96*j**4
Expand -3 + 5*f**2 + 3 + (-18*f + 14*f - 26*f)*(-13*f - 2 + 2).
395*f**2
Expand 2*y**2 - 3*y**2 + 0*y**2 + 42*y**2 - 22*y**2 - 24*y**2 + (-y + 5*y - y)*(-5*y + 2*y + 0*y)*(4 - 3 - 3).
13*y**2
Expand (-5095*i**2 + 6*i - 12 + 5154*i**2 + 8)*(-3*i**2 + 2*i**3 + 3*i**2).
118*i**5 + 12*i**4 - 8*i**3
Expand (-4 - 3 + 5)*(3*w - 2 + 2) - 12*w + 4*w - 17*w + (3 + 0 - 5)*(-2*w + 1 - 1) - 3 + 3 - 2*w + 2 + w - 2 - w - 2 + 2.
-29*w
Expand (-342*b + 4114 - 4114)*(2*b + 7*b + b).
-3420*b**2
Expand (-v - 5*v + 4*v)*(-4*v**3 + 3*v**3 + 2*v**3) + (-481 - 774 - 270 + 374)*(31*v**3 - 31*v**3 - 11*v**4).
12659*v
|
{
"pile_set_name": "DM Mathematics"
}
|
b
Let f = 8.1 - 7. Which is the closest to 0.1? (a) f (b) 1/2 (c) -3/4
b
Let c = -0.8 + -0.2. Let o = -5 - c. Let p = 149/3 + -49. What is the nearest to p in -5, o, -1?
-1
Let k = 182 + -181.8. Which is the nearest to 3/5? (a) -4 (b) -0.6 (c) k
c
Let n be -11 + (1 - -1)/(-2). Let h be (4/n)/(1/(-3)). Let p = 101/372 + -2/93. What is the closest to -1/2 in 0, h, p?
0
Let w = 23.2 + -23. Let l = -3 - -3.1. Which is the nearest to -1? (a) w (b) 1 (c) l
c
Let o = 61.05 + -61. Which is the closest to 1/3? (a) o (b) 2 (c) -3
a
Let j(x) = -2*x - 8. Let o be j(-5). Which is the closest to -0.1? (a) -1 (b) o (c) -2
a
Let t(m) = -m**3 + 4*m**2 + 4*m + 2. Let d be t(4). Let w = d - 19. Let q = 2 - 1.5. Which is the nearest to w? (a) 1 (b) 0.1 (c) q
b
Let g = -1.4 + 1.3. Which is the nearest to g? (a) 2 (b) 2/5 (c) 3
b
Suppose 9*q + 6 = 7*q. What is the closest to 1 in q, -3/7, -2?
-3/7
Let x = -0.13 + 0.23. What is the closest to x in -5, 5, -0.5?
-0.5
Let g be ((-4)/((-80)/(-15)))/3. Let j = 2 - 2.1. What is the closest to j in 2/15, g, -2/7?
g
Let s be (-9)/(-6)*(-1)/(-3). Let j = -1702 - -8711/5. Let v = j - 40. Which is the closest to s? (a) 3 (b) -3/7 (c) v
c
Suppose 0 = 3*g + 2*y + 3 + 5, -4*y - 16 = 0. Suppose -5*s + 3 = 2*b - 12, -3*s + 5*b = -9. Suppose g = -i - s + 5. What is the nearest to -2/11 in 0, i, 2/9?
0
Let y = -15 - -9. Let s(p) = -p**2 - 8*p - 3. Let l be s(y). Let m be l/3*(-4)/3. What is the nearest to 2/3 in 0.4, 5, m?
0.4
Let t be (-9)/(90/(-14)) + (-1 - 0). What is the nearest to -2 in -0.3, t, -2?
-2
Let v = 0.2 - -0.8. Suppose 9*s - 17*s = 24. What is the nearest to v in s, -1/2, -5?
-1/2
Let n = -1.7 - -1.5. What is the nearest to -1 in -29, n, -5?
n
Let m be 2*(-4)/(-120)*90/27. Suppose 0*h - h = 0. What is the nearest to h in m, -2/11, -4?
-2/11
Suppose a - 3*s - 108 = -a, 155 = 3*a - s. Let z be (-2)/(-2) - 57/a. What is the closest to z in 0.1, -0.5, 4?
0.1
Let l = 2/511 + -1044/5621. Let m = 0.2 + 9.8. Let t = 14 - m. What is the closest to 0 in t, l, -5?
l
Let x = -0.24 + 0.04. Let c(j) = -6*j - 1. Let n be c(-1). Suppose 4*v + 16 = 0, 5*v - 6 + 26 = 3*z. What is the closest to 0 in n, x, z?
z
Let s = -17/15 - -14/15. Which is the nearest to -1/2? (a) 2 (b) s (c) 0.3
b
Let s be (4 - 8)/(-1) - 8. What is the closest to 2 in -0.3, -3, s?
-0.3
Let i = 554/3 - 184. What is the closest to i in -72, -1/7, 0?
0
Let y(f) = f**3 - 13*f**2 + 13*f - 9. Let g be y(12). Let v = -0.03 - -2.03. What is the nearest to 0.1 in -4, g, v?
v
Let f = 3 + -4. Let y = f + 2. Let d = 13/2 + -20/3. What is the nearest to 1/2 in 2/5, d, y?
2/5
Suppose -3*q + 11 = -k, 3*k + 15 = 3*q - 0*q. What is the closest to 1 in -0.4, q, -3?
-0.4
Let l = 0.35 + 0.05. Let y be 4 - (-2 - 24/(-4)). Which is the nearest to y? (a) l (b) -5 (c) -0.1
c
Let k = 0.19 + 0.01. Which is the closest to -1? (a) -3/7 (b) 1 (c) k
a
Let z = 0.5 + -0.46. Let d = -1.04 + z. Suppose 4*m - 5 - 15 = 0. What is the nearest to d in m, 4, 3?
3
Let u = 0.3 + -0.3. Let x = 5 - 5.3. Which is the nearest to -1? (a) u (b) 2/7 (c) x
c
Let l = 3.59 - 3.5. Which is the closest to -0.1? (a) l (b) 2/7 (c) 1
a
Let m be (-1 - 3)*((-2)/(-20) + 0). Let b = 1.6 + 0.4. Let h = b + -3. What is the closest to 0 in h, -1/3, m?
-1/3
Let f be (1*(-1 - -3))/1. Let p be -3 - (2/2 + -2). Let t be (10/4)/((-1)/p). Which is the nearest to 0? (a) t (b) f (c) 3
b
Let s = -0.14 - 0.36. Which is the nearest to 0.2? (a) 4 (b) 5 (c) s
c
Let w = -46015/9 + 5125. Let x be (336/540)/((-1)/20). Let g = w + x. Which is the nearest to -2/3? (a) 1/5 (b) 2 (c) g
c
Let c = 69 - 346/5. What is the nearest to -7 in -1/8, 3/5, c?
c
Let k = 16 - 25. Let m be k/(-14)*22/33. Which is the nearest to -1/4? (a) m (b) 0 (c) -2
b
Let d = -45 - -44. Which is the closest to 0? (a) 4 (b) d (c) -3
b
Let y = -2.1 - -0.6. Let z = -2.51 - y. Let c = -0.01 - z. What is the nearest to -0.1 in -1, c, -5?
-1
Let z = -11 + 15. Let k = 0.7 - 4.7. Which is the closest to -0.1? (a) z (b) k (c) 1
c
Let z be ((-5)/(-8))/(-5) + 0. Let j = 1.6 + -1.6. What is the closest to 0 in z, j, 3?
j
Let l(o) = 2*o**3 - 7*o**2 + 5*o - 1. Let w be l(3). Let i = -993/8 + 124. What is the closest to -2/3 in w, -4, i?
i
Let q = -0.23 - -0.13. What is the closest to q in -2/5, -2, -1/4?
-1/4
Let s = -33 - -33.06. What is the nearest to -1/4 in 2/5, s, -0.5?
-0.5
Let u = -8.6 + 8.3. Which is the closest to -15? (a) u (b) 1 (c) 0
a
Let l be ((-12)/14)/(6/(-42)). Let g = 6 - l. Which is the closest to g? (a) -0.5 (b) 0.2 (c) 2
b
Let r be (3 - 3) + 0 + -4. What is the closest to 3 in 0.1, 0.4, r?
0.4
Let m = -182.5 + 182. Which is the nearest to 2? (a) -2 (b) -0.03 (c) m
b
Let c(o) = -2*o**2 - 11*o + 15. Let q be c(-7). What is the closest to 1/2 in q, -0.1, 4?
-0.1
Let w = -11 - -11.3. What is the closest to 2/9 in -6/17, 0, w?
w
Suppose 3*z + n = -10, -1 = 2*z - n + 4. Let q = 21.1 - 24. Let u = q + 3. What is the closest to u in 1, z, -5?
1
Let f = 1/4 + 1/4. Which is the closest to 0? (a) -3 (b) 1 (c) f
c
Let q be 40/(-260) - (-6)/208. What is the closest to 0 in -0.3, 3/5, q?
q
Let t = 0.01 - 0.41. What is the closest to 1 in 0.5, -3, t?
0.5
Let j be (-2)/(-8) - (-63)/(-156). Let u be (-4)/22 + (-863)/33. Let m = 26 + u. Which is the nearest to m? (a) j (b) 4/7 (c) -1/5
c
Let q = -7 - -10. Which is the closest to -0.2? (a) -1 (b) -0.02 (c) q
b
Let o = -3 - -6. Suppose -3*l = -6 - 6. Let x be ((-1)/15)/(l/(-12)). What is the nearest to 2 in o, -0.2, x?
o
Let t be 14/21 + (-82)/228. Let l = -1/38 - t. What is the closest to l in 0.4, 2/13, 0.1?
0.1
Let j = 0.2 + -0.6. Which is the closest to -0.1? (a) 0 (b) j (c) 6
a
Let z be ((-111)/(-57) + -2)*2. What is the nearest to -1 in 1/9, -0.3, z?
-0.3
Let h = -3.972 - 0.028. What is the closest to h in 0, -3/2, 2/13?
-3/2
Let f = -0.1 + 4.1. What is the closest to -3 in f, -0.1, 3?
-0.1
Let x = -0.06 - -0.08. Let t = x + -2.02. What is the closest to 0 in t, 3/2, -0.2?
-0.2
Let f = -2 - 5. Let o = -6.9 - f. Which is the closest to o? (a) 2 (b) 0.4 (c) -0.4
b
Let s = -6 - -4. Let z = 1135/21 + -163/3. Which is the closest to 1? (a) s (b) z (c) 0.2
c
Let f(n) = 4*n**3 - n**2 + 3*n - 2. Let q be f(1). Suppose 3*a + t + 5 = 0, -2*a + 3*a - 3*t = -15. Let c = -2 + 2. What is the closest to -1 in a, q, c?
c
Let g = 0.97 - 4.87. Let h = g - -4. What is the nearest to h in -1, -3, 0.5?
0.5
Let l = 77.2 + -77. Let m(u) = -u**3 - 5*u**2 - 5*u - 3. Let n be m(-4). Which is the nearest to 1? (a) l (b) -4 (c) n
c
Let h be (51/2)/(2/(-44)). Let u be -1 - (h/(-4))/3. Let x = -48 - u. Which is the nearest to x? (a) -3 (b) 2/15 (c) -5
b
Let k = 3.4 - 3.5. Which is the nearest to 1/4? (a) 0.1 (b) -2 (c) k
a
Let y(x) = 3*x - 20. Let d(w) = 2*w - 13. Let f(a) = 8*d(a) - 5*y(a). Let k be f(4). What is the nearest to k in 0, -0.1, 1?
0
Let m = -4 + 4.2. Suppose 0 = -5*d - l - 10, 5*d = l - 3*l - 5. Let g = -0.2 - 0.1. Which is the closest to g? (a) m (b) d (c) 2
a
Let d = 0.63 + -0.6. Let s = -4.74 - -4.24. What is the closest to 1/3 in 1, s, d?
d
Let t = 16.1 + -16. Let a = t + 0.9. Let d be 1/5*6/3. What is the nearest to d in -2, -0.4, a?
a
Let k = -9.4 - 0.6. Let t = k - -23. Let i = t - 11. Which is the closest to 0.2? (a) i (b) -1 (c) 1
c
Let v = 10.5 + -9.5. What is the nearest to 0 in 4/5, 4, v?
4/5
Let r = -2 + 2.2. Let f = -1/2 - -1/6. What is the closest to f in r, 1/3, 0.4?
r
Let w = 0.7 + -0.6. Let p = 4 + -6. What is the nearest to w in 0.4, -5, p?
0.4
Let v = -2/707 + -1384/10605. Let w = 38.6 + -33.6. Which is the nearest to v? (a) -3 (b) w (c) -2/15
c
Let i be (-29)/9 - 8/(-36). Let k = -5/2 - i. Let r = -0.3 + 0.4. Which is the nearest to r? (a) 2/3 (b) 4 (c) k
c
Let o = -0.23 - -0.33. Suppose 2 = -2*s - 8. What is the nearest to o in -0.5, -0.2, s?
-0.2
Let j be ((-1)/3)/(1484/2796). Let h = j - -3/53. Let t(n) = -n + 5. Let m be t(6). What is the closest to 1/3 in h, 5, m?
h
Let d = 2 - 1. Which is the closest to d? (a) 2/9 (b) 1/5 (c) -0.1
a
Let o = 2 - 7. Let x = -1.2 + 1.3. Which is the closest to 0? (a) -3 (b) o (c) x
c
Let l(g) be the second derivative of g**5/20 - g**4/12 - g**3/6 - g**2/2 + 3*g. Let o be l
|
{
"pile_set_name": "DM Mathematics"
}
|
**2 - o. Calculate k(a).
-7
Suppose 4*z = 11*y - 6*y + 18, 5*y = -2*z + 24. Let r(g) = -g**3 + 7*g**2 + 3. What is r(z)?
3
Let b = -12 + 14. Let j(w) = w**2 + w + 1. Let h(v) = -3*v**2 - 11*v + 3. Let u(a) = b*j(a) + h(a). What is u(-9)?
5
Let s = 5 - 7. Let x(a) be the first derivative of -2 + 2/3*a**3 + a + 3/2*a**2. What is x(s)?
3
Let a = 16 - 6. Suppose -9*r + 4*r - a = 0. Let v(p) = -4*p**3 - 5*p + 4. Let k(z) = -5*z**3 - z**2 - 6*z + 5. Let t(u) = r*k(u) + 3*v(u). Give t(2).
-12
Let m(f) = -6*f**2 - 11*f - 11. Let l(y) = -5*y**2 - 11*y - 11. Let k(p) = 5*l(p) - 4*m(p). What is k(-8)?
13
Let o(f) = 3*f - 1. Let s(i) = 7*i + 6. Let r(q) = 2*o(q) - s(q). Give r(-6).
-2
Let n(h) be the first derivative of h**3/3 - h**2/2 + 3*h + 2. Let k = -8 + 0. Let c = k - -11. Determine n(c).
9
Let f be 24/(-2)*(3 - 4). Suppose -f = 4*b - 6*b. Let a(k) = -k**2 + 7*k - 6. What is a(b)?
0
Let m(u) be the first derivative of 2*u**3/3 - 4*u**2 - 7*u + 836. Calculate m(5).
3
Let s(i) = i**2 - 3*i + 4. Suppose 6 - 30 = -8*h. What is s(h)?
4
Let t(r) = -5*r - 6*r**2 - 5*r + 12*r + 3*r**2. Determine t(3).
-21
Let p(l) = l**2 - 4*l + 1. Suppose -13*i + 100 = 35. Calculate p(i).
6
Let z(u) be the third derivative of 5*u**4/24 - 5*u**3/3 + 210*u**2. Calculate z(3).
5
Let g(s) = -2*s**3 + 4*s**2 - 2*s. Suppose 10*x - 12*x = 2. Let k be 1 + (1 - x) + -1. What is g(k)?
-4
Let c(m) = -2*m**3 + 2*m**2 + 2*m - 3. Let b = 154 + -152. What is c(b)?
-7
Let x(n) = n**3 - 3*n**2 - 3. Let w be ((-80)/12)/(3/9). Let s = -17 - w. Give x(s).
-3
Let t(a) = a**3 - 4*a**2 + a + 7. Let w(h) = 19*h - 20*h + 6*h**2 - 2*h**2 - h**3 + 0*h**2 - 6. Let q(x) = 2*t(x) + 3*w(x). What is q(3)?
2
Let h(n) = 11*n + 1. Suppose 0 = a - 3*s + 2*s - 7, 0 = 2*a - s - 11. Let b(w) = w**3 - 5*w**2 + 4*w + 2. Let y be b(a). Calculate h(y).
23
Let x(y) = -6*y**2 - 6*y + 9. Let b(j) = -j**2 - j + 2. Let s(f) = -11*b(f) + 2*x(f). Let q(h) = 4*h**2 + 5*h + 16. Let g(c) = -2*q(c) - 9*s(c). Give g(0).
4
Let b(t) be the first derivative of t**3/3 - 3*t**2 - 18*t - 206. Calculate b(8).
-2
Let v(d) be the third derivative of -d**5/60 + 7*d**4/24 - 4*d**3/3 - 119*d**2 - 3. Give v(3).
4
Let i(l) = -29*l + 53. Let n be i(2). Let m(s) = 5*s - 7. Calculate m(n).
-32
Let i = 236 - 232. Let o(x) be the second derivative of x**4/12 - 5*x**3/6 + x. Determine o(i).
-4
Let p(t) = -t**2 - 17*t - 25. Suppose -41*a + 42*a = -15. Give p(a).
5
Let r(z) = 6*z**2 + z + 1. Let n be r(2). Let g(w) = 4 - n*w + 12*w + 12*w + w**2. Determine g(4).
8
Let n(c) = c**2 + c - 1. Let m = 227 + -225. Give n(m).
5
Let w be (-20)/(-25)*10/4. Let o(j) = j**w - 6*j - 2 + 2 + 1 + 3. Calculate o(6).
4
Let j(w) = -w**2 + w + 3. Suppose 2*z = -7*p + 10*p - 15, 5*z + 28 = -2*p. Calculate j(z).
-39
Let m = 796 - 802. Let x(s) = -s**2 - s - 1. Let f(k) = -5*k**2 - 3. Let g(v) = -f(v) + 6*x(v). Determine g(m).
-3
Let o(d) be the third derivative of -d**6/120 - d**5/12 + d**4/6 - 5*d**3/6 + 2*d**2. Let y = 41 - 35. Suppose -s + y*s = -30. Determine o(s).
7
Let f be -1 - (1 - (4 + -2)). Let l be (1 + 1 - f)*-2. Let q(g) = -154*g + 322*g - 173*g - g**3 - 5*g**2. Give q(l).
4
Let w(j) = 10 - 23 + 0*j**2 - 19*j + j**2 + 0*j**2 - 13. Calculate w(20).
-6
Let y be (28 - 1) + 3 + -5. Suppose -2*s = -2*g - 22, 5*g + 0*s + y = -s. Let b(z) = z + 9. Calculate b(g).
3
Let d = -30 - -42. Suppose 3*l = -4*y + d, -6*y - 5*l + 10 = -y. Let c(w) = 3 - 4*w + 3*w + 9. Give c(y).
6
Let v(k) = -k**3 - 9*k**2 + 11*k + 6. Let f = -54 + 44. Give v(f).
-4
Let g(y) = 225 - 3*y + 4*y - 216. Let i(w) = -w - 8. Let n(x) = -3*g(x) - 4*i(x). Calculate n(-3).
2
Let i be 6/14 + (-360)/(-42). Let s = i + -7. Suppose s*y = y. Let u(x) = x**2 + x - 9. Calculate u(y).
-9
Suppose 2*s - c = 13, 6*s - 4*s - 3*c - 15 = 0. Let l(q) = q**2 - 5*q - 3. Calculate l(s).
3
Let d(x) = x**3 - 4*x**2. Let i(f) = -17*f**3 - 2*f**2 + f. Let a be i(1). Let w = a + 10. Let v be (-1)/(-2*(-1)/w). Determine d(v).
0
Let t = 21 - 19. Suppose t*d + 5 = -5. Let n(i) = -i**3 - 5*i**2 + i + 4. Calculate n(d).
-1
Suppose 5*b + i - 3*i - 11 = 0, -4*b + i + 10 = 0. Let g(c) = -2 + 206*c**2 + 4*c - 1 + c - 207*c**2 + 2*c. Determine g(b).
9
Let r(t) = -7 - t - 5*t + 0 + 3 - t**2. Suppose 4*q = 3*f - 9, -q + 5*f = -3*q + 15. Suppose -4*b + v - 24 = q, 3*b = b - v - 12. Give r(b).
-4
Let n(h) = -h**3 - h**2 + 2*h + 3. Suppose 0*v - 5*d + 72 = 2*v, 2*v + d = 72. Let i be ((-12)/v)/(1/6). Determine n(i).
3
Suppose -12 = -14*z + 11*z. Let w(g) be the second derivative of 3*g - 1/20*g**5 + 2*g**2 + 0 + 2/3*g**3 + 1/3*g**z. Determine w(5).
-1
Let g(u) be the third derivative of -u**6/120 - u**5/12 - u**4/24 + u**3/3 - u**2. Suppose -6*h = -11 - 1. Let s = h + -6. Determine g(s).
-10
Let p(z) = -2*z - 7. Let l be (100/15)/(3/(-54)). Let o = -114 - l. Determine p(o).
-19
Let o(f) be the first derivative of f**7/840 - f**6/72 + f**5/24 - f**4/12 + 7*f**3/3 + 3. Let w(d) be the third derivative of o(d). Calculate w(4).
2
Suppose 6*j = 4*j + 2*b + 22, b + 41 = 4*j. Let v(t) = 4*t - j*t**2 - 2 + 9*t**2 + 0*t. Calculate v(4).
-2
Let b(z) = -11*z + 181 + 2*z**2 - 168 - z**2. Let x be b(9). Let v(l) = 6*l + 6. Give v(x).
-24
Let d be 3*12/(-63) + (-24)/7. Let n(w) = -w**3 - 5*w**2 - 6*w - 6. Give n(d).
2
Suppose -7*c + 18 = -8*c + 5*l, -5*l = 5*c - 60. Let n(t) = -t**2 + 6*t + 2. Give n(c).
-5
Let r(d) = -16. Let o(f) = -f - 78. Let t(l) = -4*o(l) + 22*r(l). Calculate t(10).
0
Let w(a) = -5*a**3 + 59*a**2 - 14*a - 69. Let y(m) = m**3 - 15*m**2 + 3*m + 17. Let k(u) = -2*w(u) - 9*y(u). Give k(-17).
-32
Suppose 0 = -3*m - m + 16. Let h(v) = -v**2 + 14. Let d be h(m). Let f(u) = 2*u**3 + u**2 + 3*u + 2. What is f(d)?
-16
Let s(t) = -15*t - 347. Let a be s(-23). Let f(w) = 4*w**3 + 2*w**2 - 2*w - 3. Give f(a).
-23
Let n(o) = 8 - o**3 - 10 + 5 + 78*o - 81*o - 5*o**2. Determine n(-5).
18
Let w = 843 + -830. Let n(t) = 4*t - 5. Give n(w).
47
Suppose 26 = -4*v + 886. Suppose 4*z = -3*i + 146 + v, -99 = -i + 4*z. Let q(n) = -i*n + 115*n - n**2 - 4. What is q(-3)?
-13
Suppose -2*m - n = -12, -5*m = 4*n - 14 - 16. Let b(c) be the third derivative of c**5/60 - c**4/4 - 4*c**3/3 - 45*c**2 + 1. Calculate b(m).
-8
Suppose -i = -0*i - 3*t - 6, -6 = 3*i + 3*t. Suppose i = -2*x + 3*o + 4 - 0, 3*x = -3*o + 6. Let d(w) = 7*w - 5*w - x + 6. What is d(-5)?
-6
Let o = -18 + 13. Let h(j) be the third derivative of -j**5/60 - j**4/4 - j**3/2 + 94*j**2. Give h(o).
2
Suppose -2*r = -3*q - 9, -5*r + 6 = -4*q - 13. Let h(o) be the second derivative of -7*o**5/10 + o**4/12 + o**3/6 + o**2/2 - 764*o. Determine h(q).
15
Let m(h) = -h + 4. Suppose 5 = b - 18. Suppose 3*c = 2*c - b. Let z = c + 17. Determine m(z).
10
Let w(k) = 14*k**2 + 11*k - 3. Let l(u) be the first derivative of u - 5/3*u**3 - 5 - 2*u**2. Let x(g) = -11*l(g) - 4*w(g). Determine x(0).
1
Suppose -3*k + 2 = 2*w - 13, 0 = 5*k + w - 18. Let u(y) = k*y - y + 5 + 0*y - 5*y. Let h = 8 - 2. Determine u(h).
-13
Let z(t) = 2*t**3 - 14*t**2 - 3*t - 13. Let l(d) = -21*d**2 + d**3 + 4*d**3 - 19 - 5*d - 2*d**3. Let s(o) = -5*l(o) + 8*z(o). Calculate s(7).
-2
Let b(z) = -7*z + 49 - 118 + 69. Suppose l + l = 8. Calculate b(l).
-28
Let d(i) = 4*i**2 + i - 7. Let w(k) be the first derivative of -k**3 - k**2 + 7*k + 2. Let v(j) = 2*d(j) + 3*w(j). Let a = 19 - 25. Give v(a).
-5
Suppose -72 = -3*f - 54. Let m(l) = -2*l**2 + 8*l - 10. Let a(h) = -h**2 + 4*h - 5. Let t(y) = f*m(y) - 11*a(y). Give t(4).
-5
Suppose -17 = -4*n + 5*i, -2*n - 7*i = -7*n + 22. Let x(f) = 6*f + 2. Calculate x(n).
20
Let q(y) be the first derivative of -3*y**2/2 + 557. What is q(-2)?
6
Suppose 0 = v + 5*x + 12, 4*v + x = 3*x + 18. Let u(k) = -7*k**2 + 1 + 15*k**2 - 8*k**v - 8*k**2. Determine u(1).
-7
Let x(z) be the second derivative of -z**5/20 - z**4/12 + z - 36. Suppose 3 = 3*i - 0. Suppose 6*g + 3*b = 3*g + 6, -3*b = -2*g - i. Calculate x(g).
-2
Let w = -1629 - -1643. Let c(s) = -s**3 + 14*s**2 + s - 10. Calculate c(w).
4
Let s(y) = 4 + 2 - y - 2 + 2*y. Give s(0).
4
Let d = -1996 - -1998. Let g(k) be the first derivative of 1/4*k**4 - d*k**3 + k**2 + 11 - k. Give g(5).
-16
Let g(f) = -f + 4. Let s(q) = 2*q - 4. Suppose n - 3*n - 4 = 0. Let h(y) = n*s(y) - 3*g(y). Let l = -3 - -6. Determine h(l).
-7
Let q(o) = -3*o + 0*o + 3*o + o + 0*o. G
|
{
"pile_set_name": "DM Mathematics"
}
|
1). Calculate the highest common divisor of 506 and v.
253
Let r(w) = w**2 - 18*w + 89. Let s be r(6). Let i(q) = -q**3 + 15*q**2 - 6*q - 10. Let c be i(7). What is the greatest common divisor of c and s?
17
Let b(q) = q**3 - 15*q**2 + 8*q + 96. Let p(t) = 3*t**3 - 4*t**2 - 11*t + 2. Let l be p(3). Let u be b(l). What is the greatest common divisor of 1152 and u?
12
Suppose 5*x - 5*p = -1135, 0*p + 2*p + 230 = -x. Let w = 304 + x. What is the greatest common divisor of 133 and w?
19
Let o be (-25 - (-1342)/66)*15/(-2)*54. What is the highest common divisor of 280 and o?
70
Suppose 12*i = 16*i + 404. Let h = 70 - i. Calculate the highest common factor of 9 and h.
9
Suppose -10*u + 12*u - 132 = -j, u - 76 = -3*j. Suppose 0 - 3 = -3*c. What is the highest common factor of c and u?
1
Let b be (-60)/(-8 - 232/(-32)). What is the highest common factor of 272 and b?
16
Let w(o) = 24*o**2 - 659*o - 5368. Let p be w(-8). What is the greatest common divisor of p and 256?
32
Suppose 333 = 9*l - 477. Let r be 125 + (-15)/(l/48). Calculate the highest common factor of 18 and r.
9
Let r = 3733 - 3117. Calculate the highest common factor of 392 and r.
56
Let z(o) = 6*o**2 + 7*o - 10. Let h(s) = s**3 + 5*s**2 - 11*s + 24. Let y be h(-7). Let v be z(y). Calculate the highest common divisor of v and 91.
13
Suppose 4*j = 22*l - 24*l + 916, -5*j + 4*l + 1158 = 0. What is the greatest common divisor of j and 2415?
115
Let r = -406 - -696. Suppose 5 = -l, -5*l + 4*l = 4*a - 28 - 7. What is the highest common factor of a and r?
10
Suppose 0 = -13*y + 51 + 1. Suppose 0 = 5*t - y*m - 601, -3*t + t = -m - 238. Calculate the highest common factor of t and 9.
9
Suppose -5*k + 57 = -v, -56 = -3*k - 4*v - 8. Let c(g) = 98*g**3 + 1471*g**2 + 5*g + 66. Let m be c(-15). Calculate the highest common divisor of k and m.
12
Let i = 100 - 36. Let p = -58 + i. What is the highest common factor of 6 and p?
6
Suppose -j - j + 8 = 0, 3*w - 3*j = -429. Let m = 216 + w. What is the highest common factor of m and 7?
7
Let z(h) = 17*h**2 - 44*h - 278. Let w be z(-19). Calculate the greatest common divisor of w and 39.
13
Let m = -483 + 903. Suppose m = -27*d + 34*d. What is the greatest common divisor of d and 60?
60
Let c = 109 - 78. Let x = c + -31. Suppose x = 5*j - 11*j + 630. Calculate the highest common divisor of j and 21.
21
Suppose y = -4*f + 727, -4*y + 9*y = -f + 177. Let i be (-2)/(f/(-36) + 5). Calculate the highest common factor of i and 900.
36
Let h(c) be the first derivative of -c**4/4 - 14*c**3/3 - 6*c**2 + 28*c + 40. Let q be h(-12). Let p = -107 - q. Calculate the highest common factor of 1 and p.
1
Let r(k) be the third derivative of 0*k - 1/2*k**3 + 0 - k**2 + 1/3*k**4. Let q be r(4). What is the greatest common divisor of 261 and q?
29
Let w(u) = 137793*u + 12*u**2 + 1 - 137791*u + 28*u**2. Let n be w(2). What is the greatest common factor of n and 30?
15
Let i be 13 - 4 - (3 - 0). Suppose i*p + 914 = 5*g + 2*p, -2*g = -2*p - 366. Suppose -73*b = -171*b + 1372. Calculate the greatest common factor of g and b.
14
Suppose 156*m + 253*m = 75*m + 39078. Calculate the highest common factor of 299 and m.
13
Let f = 91335 + -61204. Calculate the greatest common factor of 29 and f.
29
Suppose 423*t + 320 = 433*t. Let b = 359 + -215. Suppose 4*y - b = -4*x, -3*y + 68 = 2*x - 2*y. Calculate the greatest common divisor of x and t.
32
Let t = 11961 - 10281. What is the greatest common factor of t and 378?
42
Let y(s) = s**3 + 8*s**2 - 3*s + 8. Let v be y(-8). Let l(u) = -u**2 + u - 321. Let x be l(0). Let p = 31 - x. Calculate the highest common factor of v and p.
32
Suppose 0 = -4*z + 2*l + 356, -z + 215 - 117 = 4*l. Calculate the highest common factor of z and 2910.
30
Let c be (897/(-161))/((-1)/63). What is the highest common divisor of c and 27?
27
Suppose 344*l + 98*l - 13035 = 26303. What is the greatest common divisor of 9701 and l?
89
Suppose -12*z - 39 + 87 = 0. Let b = 34 + -7. Suppose 4*g - b = -3*h - 8, -h = -g - z. What is the greatest common factor of h and 10?
5
Let h = 1408 + -1393. Suppose -368 - 507 = -7*q. What is the highest common factor of h and q?
5
Suppose -5*b = u - 29, b + 93 = -12*u + 17*u. Suppose -3*l + 353 = -160. Calculate the highest common divisor of l and u.
19
Let w = -1 + -1. Let x(y) = 15*y**2 - 3*y - 2. Let g be x(w). Let n = -575515 + 575707. Calculate the greatest common divisor of g and n.
64
Let y(l) = l**3 + 59*l**2 + 64*l + 447. Let z be y(-58). What is the highest common divisor of 15543 and z?
99
Let i = 21 - -33. Let b = 17 - i. Let u = b + 39. Calculate the highest common factor of u and 10.
2
Let r(d) = -567*d + 1746. Let f be r(3). Suppose -5*a - 126 = -981. What is the highest common divisor of a and f?
9
Let x(m) = 16*m**2 + m + 1. Let t be x(-1). Suppose 0 = t*i - 751 + 207. Calculate the greatest common divisor of 51 and i.
17
Suppose k + 12 = 2*k. Let i be 3/18*(4 - 6) + (-19494)/(-162). Calculate the highest common divisor of i and k.
12
Let r be (6 - 5)*1/((-3)/(-9)). Let a(y) = r*y + 3*y**3 + 2 - 4*y - 5*y**2 - 3. Let f be a(3). Calculate the greatest common divisor of 4 and f.
4
Suppose 5*d + 4 + 11 = 0, 8 = -o - 4*d. Let c be 18 - ((o - 4) + 0). What is the highest common divisor of c and 72?
18
Let q = 19493 + -15632. What is the highest common divisor of q and 33?
33
Suppose -2*m = -0*m - 88. Suppose 3*r - 129 = 219. Let k = r - 105. Calculate the highest common divisor of k and m.
11
Let b be (1168/1460)/(6/920*-2)*-3. What is the highest common factor of b and 388?
4
Let c = -15344 + 24386. Calculate the greatest common factor of 33 and c.
33
Let l = -18472 + 18515. What is the highest common divisor of 4429 and l?
43
Let o = -338 - -347. Let n be 2 + (-9 - -5) + o. Suppose 18 = -2*b + 326. Calculate the highest common divisor of n and b.
7
Let y be (58/(-10))/(-2 + (-3690)/(-1850)). Calculate the highest common factor of 58 and y.
29
Let d be 11 + 32 + (-42)/6. Calculate the greatest common factor of 116 and d.
4
Let l = -727 + 759. Let o be 3 - (8 - 1) - -204. What is the greatest common divisor of o and l?
8
Suppose 134*f = 139*f - 5*n - 94870, 18968 = f - 2*n. Calculate the greatest common factor of f and 260.
260
Let y be 44/(-1) + (-6 - -10). Let u = 10 - y. Let b = -40 + u. Calculate the highest common factor of 50 and b.
10
Let f be ((-470)/55 + 8)*-418. Calculate the highest common factor of 72 and f.
12
Let j(z) = 6 + 0 + 14*z**2 - 3*z**2 - z - 4. Suppose 50*n - 6*n = 88. Let p be j(n). Calculate the highest common divisor of 22 and p.
22
Let g(j) = -4*j + 11. Let s be g(-8). Suppose -3*k = 2*a - 71, 7*k - 109 = -3*a + 3*k. Calculate the greatest common divisor of s and a.
43
Suppose -4*x - 2*a = -3*a - 17, 2*a + 18 = 4*x. Let o(m) = 87*m - 3. Let v be o(x). Calculate the greatest common factor of 15 and v.
15
Let r(k) be the third derivative of -9*k**2 + 0 + 7/60*k**5 + 0*k - 1/6*k**4 - 5/6*k**3. Let f be r(5). Calculate the greatest common divisor of 15 and f.
15
Let p be -30*14/(-9)*30/35. Let c = p + -36. Suppose -c*v + 739 = 167. What is the greatest common factor of 13 and v?
13
Suppose 6*g + 5*w + 24 = 7*g, 2*w = -8. Suppose -352 = -4*c - g*c. Let b be (12/(-5))/(4 + (-222)/55). What is the highest common divisor of b and c?
22
Let r = -23584 - -24934. Calculate the highest common divisor of r and 2565.
135
Let u = 6511 + -6479. What is the greatest common factor of 472 and u?
8
Suppose -224 = -13*c + 9*c. Suppose -2*u + 2*m + 10 = -6, 2*m - c = -4*u. Suppose -16*i + 124 = -u*i. Calculate the highest common divisor of 124 and i.
31
Let f(r) = -3*r + 16. Let x be f(-13). Let g be 286/(-12)*15*-2. Calculate the greatest common divisor of x and g.
55
Let t(s) = -4*s**2 - 36*s + 5. Let v(b) = b**3 - 7*b**2 - 17*b - 18. Let l be v(9). Let o be t(l). What is the greatest common divisor of o and 15?
5
Let v(y) = -y**3 + 4*y + 144. Let c be v(0). What is the greatest common factor of 1056 and c?
48
Let l(a) = 5*a + 16. Let y be l(0). Let c = 39 - y. Let j = c + -19. Calculate the greatest common factor of j and 32.
4
Let j be (6 - 432/63)/((-2)/14). Suppose -7200 = -j*f - 26*f. What is the greatest common divisor of f and 27?
9
Let t(c) = 47*c + 43. Let x be t(6). What is the greatest common divisor
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{
"pile_set_name": "DM Mathematics"
}
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+ 4*b - 2. Calculate a*o(d) - 5*p(d).
2*d**2 + 2
Let c(i) = 4*i - 2. Let z(k) = 23*k - 11. Let d = -5 + 17. Suppose -m + 22 = -d. What is m*c(p) - 6*z(p)?
-2*p - 2
Let z(k) be the first derivative of -k + 1/2*k**2 - k**3 + 1. Let o(s) = s**2 - 2*s + 1. Let n be o(2). Let x(m) = m**2 + m. Determine n*x(v) + z(v).
-2*v**2 + 2*v - 1
Let u(t) = t**2 + t + 1. Let v = 4 + -9. Let f(j) = -j**3 - 5*j**2 + 5*j - 7. Let y be f(-6). Let a(l) = -4*l**2 - 5*l - 5. Determine v*u(b) + y*a(b).
-b**2
Let j(c) = c**3 + 5*c. Let u(h) be the second derivative of h**3/2 + 3*h. Let m be -2 + 9/(-3)*1. Give m*u(d) + 3*j(d).
3*d**3
Let i(f) = 2*f - 29. Let k be i(12). Let r(s) = -3*s**2 - 2. Let j = -5 + 7. Let d(z) = -7*z**2 - 5. Determine j*d(w) + k*r(w).
w**2
Let y(q) = -q**3 + 7*q**2 + 2*q - 1. Let m(o) = -6*o**2 - 2*o + 1. Determine -6*m(z) - 5*y(z).
5*z**3 + z**2 + 2*z - 1
Let p(h) = 11*h + 2. Let k(q) = -297*q - 55. What is 6*k(w) + 165*p(w)?
33*w
Let o(v) = 5*v + 9. Let k(h) = -6*h - 10. Calculate -4*k(a) - 5*o(a).
-a - 5
Let x(y) = -3*y + 9*y**2 + 10 + 2*y - 2*y. Let i(d) = -5*d**2 + 2*d - 5. Let s(b) = -5*i(b) - 3*x(b). Let w(p) = -1. What is s(n) - 3*w(n)?
-2*n**2 - n - 2
Let a(i) = 2*i - 13. Let c(s) = -s + 12. Calculate -2*a(y) - 3*c(y).
-y - 10
Suppose -19*i = -23*i + 20. Let p(w) = 2*w - 5. Let g(n) = 3*n - 6. What is i*g(k) - 6*p(k)?
3*k
Let h(o) = -o**3 + o**2 - 1. Let y = 7 + -2. Suppose 0 = -4*s + 3*s - y, -d + 21 = -4*s. Let j(u) = u**3 - 4*u**2 + 2. Determine d*j(t) + 2*h(t).
-t**3 - 2*t**2
Let z(r) = -r. Let i = -34 + 48. Let n(u) = -i - 3*u - 9 + 23. Let o = -15 - -8. Calculate o*z(f) + 2*n(f).
f
Let n(s) = -s**3 - 2*s**2 + 2*s. Let b(q) = -q**3 - q**2 + 2*q. Calculate -5*b(v) + 4*n(v).
v**3 - 3*v**2 - 2*v
Let o(u) = -2*u - 8*u + 13*u - 4*u. Let a(x) = x**2. Give -3*a(f) + 2*o(f).
-3*f**2 - 2*f
Let o(g) = -14*g**2 + 7. Let q(b) = -14*b**2 + 6. Determine -6*o(f) + 7*q(f).
-14*f**2
Let r be (3 - 0)*(-2)/(-2). Let q(l) = -2*l + 2. Let m(s) = -2*s + 4. Let a(v) = 2*v - 5. Let t(d) = -4*a(d) - 6*m(d). Calculate r*t(w) + 7*q(w).
-2*w + 2
Let j(k) = 2*k**2 + 2*k + 3. Let v(f) = -f**2 + 3. Let c(i) = i + 4. Let r(d) = 6*c(d) - 5*v(d). Calculate 8*j(h) - 3*r(h).
h**2 - 2*h - 3
Let g(c) = 3 + 3*c**2 - 3 - 2*c + 4 - c**2. Let w(h) = -2*h**2 + h - 3. Determine 2*g(t) + 3*w(t).
-2*t**2 - t - 1
Let m(d) = -55*d**2 + 9*d + 9. Let v(b) = -27*b**2 + 4*b + 4. Calculate 4*m(c) - 9*v(c).
23*c**2
Let n(j) = 4*j**2 + 3*j - 9. Let x = 74 - 80. Let p(s) = -2*s**2 - 2*s + 5. Give x*n(z) - 11*p(z).
-2*z**2 + 4*z - 1
Let s(m) = -22*m**2 + 3*m - 3. Let p(t) = 969*t**2 - 133*t + 133. Determine 3*p(c) + 133*s(c).
-19*c**2
Let n be 2/(-6) - (-3)/9. Let k(q) = n - q + 0 - 1. Let o(z) = -5*z - 1. Let p be 2/4*(2 - 4). Calculate p*o(j) + 3*k(j).
2*j - 2
Let f(a) = a. Let g(k) = 4*k. Let j(c) = c**2 + 8*c + 16. Let w be j(-5). Give w*g(v) - 2*f(v).
2*v
Let c(f) = -9*f - 1. Let i(h) = 4*h. Give 2*c(m) + 5*i(m).
2*m - 2
Let j = 55 - 50. Let v(m) = m**3 - 3*m**2 - 3*m - 5. Let r(w) = -2*w**3 + 5*w**2 + 6*w + 9. Calculate j*v(f) + 3*r(f).
-f**3 + 3*f + 2
Let f(v) be the first derivative of v**4/4 - 4*v**3/3 - 3*v**2 - 22. Let w(t) = -t**3 + 3*t**2 + 5*t. Give 5*f(j) + 6*w(j).
-j**3 - 2*j**2
Let u(r) = -6*r - 15. Let f(g) = -g + 1. What is -5*f(a) + u(a)?
-a - 20
Let h(c) = -7*c**2 - 5*c + 7. Let f(n) = n**2 + n - 3. Let u be f(0). Let x(l) = -18 - 3*l + 4 + 9 + 9 - 4*l**2. Determine u*h(j) + 5*x(j).
j**2 - 1
Let z(x) be the first derivative of -x**3/3 + 2*x**2 - 5*x - 1. Let f(q) be the third derivative of q**5/60 - 5*q**4/24 + q**3 + 7*q**2. Give -4*f(c) - 5*z(c).
c**2 + 1
Let k(l) = -89*l - 3. Let m(o) = 30*o + 1. What is -4*k(b) - 11*m(b)?
26*b + 1
Let d(l) = -12*l**2 + 4*l + 1. Let i(g) = 18*g**2 - 6*g - 1. What is 8*d(b) + 5*i(b)?
-6*b**2 + 2*b + 3
Let y(n) = 3*n**2 - 2*n - 2. Let u(j) = -13*j**2 + 9*j + 9. Let h = 3 + -1. Suppose -h*d + 6 = d. What is d*u(g) + 9*y(g)?
g**2
Let r(n) = -n**3 - 2*n + 9*n - 2*n**3. Suppose 3*t = 1 + 5. Let g(b) = -3*b**2 + 3*b**2 + 4*b - t*b**3. Give 10*g(s) - 6*r(s).
-2*s**3 - 2*s
Let f(w) = 3*w**3 - 6*w**2 + 6*w + 5. Let s(y) = y**2 - y - 1. Give f(i) + 5*s(i).
3*i**3 - i**2 + i
Let h(x) = 3*x - 9. Let q(o) = 5*o - 17. Calculate 5*h(l) - 2*q(l).
5*l - 11
Let k(h) = -2*h**2 - 8*h - 8. Let d(r) = 4*r**2 + 17*r + 17. Calculate 6*d(t) + 13*k(t).
-2*t**2 - 2*t - 2
Suppose -1 = 4*i - 3*i. Let a be 7/(-28) - (-2)/8. Let z(s) = a*s**2 - 2*s**2 + 1 - 2*s**2 + 5*s**2. Let g(o) = 8*o**2 + 6. What is i*g(p) + 6*z(p)?
-2*p**2
Let f(p) = 5 + 2*p**3 + 0*p**2 - 10 + 3*p**2 + p - 6*p**2. Let w(q) = q**3 - q**2 + 0 - 5 + 3. Let r be 1 + 2*(-3)/(-6). Calculate r*f(t) - 5*w(t).
-t**3 - t**2 + 2*t
Let z(r) = r**3 + r. Let t(h) = 2*h**3 + h - 1. Calculate -2*t(q) + 3*z(q).
-q**3 + q + 2
Let h be ((-2)/2)/(3/(-9)). Let a(t) be the first derivative of -t**3 - 3*t**2/2 - 3*t - 12. Let n(l) = -l - 1. What is h*n(s) - a(s)?
3*s**2
Let o(d) = 8*d + 2 - 4 - 3*d + 2*d. Let w be -2*1/(4/10). Let r(b) = 1 + 1 - 11*b + 1. Give w*r(m) - 8*o(m).
-m + 1
Let b(w) = -w + 3. Let f(x) = -x**2 + x + 1. Let h be f(0). Let i(z) = 1. Let y(s) = 1. Let c(d) = 5*i(d) - 6*y(d). Determine h*b(p) + 3*c(p).
-p
Let c(f) = 168*f**2 - 35*f. Let n(d) = -28*d**2 + 6*d. Determine -6*c(m) - 35*n(m).
-28*m**2
Let k be (2 - 6/4)*14. Let a(v) = v - 4. Let p(o) be the third derivative of -o**4/12 + 3*o**3/2 - 23*o**2. Give k*a(y) + 3*p(y).
y - 1
Suppose 0 = 4*z - 0*z + 36. Let t = z - -19. Suppose -u + 3*u = l - 3, -2*u + 3 = -3*l. Let g(s) = -2*s - 2. Let n(o) = -6*o - 6. Determine t*g(i) + u*n(i).
-2*i - 2
Let o(y) = -36*y + 4. Let t(g) = -108*g + 13. Give -7*o(k) + 2*t(k).
36*k - 2
Let x(c) = 285*c + 75. Let z(f) = -15*f - 4. Calculate 4*x(j) + 75*z(j).
15*j
Let l(g) = -2*g. Let z(d) = d + 2. Let x(r) = -2*r - 5. Let u(b) = -6*x(b) - 15*z(b). Let y = -13 + 8. Let h be y/3*(-1 - -4). Give h*l(k) + 3*u(k).
k
Let u(z) be the first derivative of z**3/3 + z**2/2 - 3*z + 6. Let o(b) = -5*b**2 - 6*b + 16. Determine 4*o(r) + 22*u(r).
2*r**2 - 2*r - 2
Let z(o) = o**2 + 11*o. Let c = 25 + -31. Let p(b) = -b**2 - 6*b. What is c*z(x) - 11*p(x)?
5*x**2
Let z(h) = -7*h**2 - 7*h + 5. Let y(v) = -v**2 - v + 1. Give 4*y(n) - z(n).
3*n**2 + 3*n - 1
Let w(m) = -m + 12. Let c(i) = 1. Determine -3*c(p) + w(p).
-p + 9
Let g(b) = 3*b. Let u be 12/42*(3 - -4). Let i(v) = v**2 - 1. What is u*i(o) - g(o)?
2*o**2 - 3*o - 2
Let k(z) = -6*z**2 + 8*z + 4. Let q(i) = i**2 - i - 1. Calculate -k(b) - 5*q(b).
b**2 - 3*b + 1
Let r(l) = l**3 + l**2 + l. Let x(i) = -5*i**3 - 4*i**2 - 5*i + 3. Calculate 4*r(o) + x(o).
-o**3 - o + 3
Let u(a) = -1. Let z(y) = -2*y - 2. Let i(r) = 3*r + 3. Let m(x) = 3*i(x) + 4*z(x). Let p = 1 - -1. Let t = 0 - p. Determine t*m(c) - u(c).
-2*c - 1
Let k(d) = -7*d**2 - 2*d + 2. Suppose -9 + 3 = o. Let r(w) = 13*w**2 + 4*w - 4. Give o*r(n) - 11*k(n).
-n**2 - 2*n + 2
Let v(b) = 3*b**2 - 15*b - 8. Let f(d) = d**2 - 5*d - 3. Let g(c) = 11*f(c) - 4*v(c). Let n(q) = -q**2 + 4*q - 1. What is 4*g(u) - 5*n(u)?
u**2 + 1
Let i = 0 + 5. Let d(t) = 2*t + 1. Let u(j) = -21. Let r(x) = -5*d(x) - u(x). Let y(v) = 3*v - 5. Give i*r(o) + 16*y(o).
-2*o
Let u(h) = h + 3 - 2 + h**2 + 0. Let i(c) = -9*c**2 - 11*c - 6. Let v(g) = -5*g**2 - 6*g - 3. Let a(m) = 3*i(m) - 5*v(m). What is 2*a(o) + 6*u(o)?
2*o**2
Let j(l) = -7*l**3 - 6*l**2 - 6*l - 6. Let z(b) be the first derivative of -3*b**4/2 - 5*b**3/3 - 5*b**2/2 - 5*b + 11. Give -5*j(f) + 6*z(f).
-f**3
Let r(b) be the first derivative of -3*b**4/2 + 2*b**2 - 1. Let a(t) = -5*t**3 + 3*t. Suppose 4*h = h + 36. Suppose 3 = 5*x - h. What is x*r(l) - 4*a(l)?
2*l**3
Let b(c) = 15*c**3 + 13*c**2 - 4*c - 11. Let l(r) be the second derivative of -2*r**5/5 - 7*r**4/12 + r**3/3 + 3*r**2 + 7*r. Calculate -6*b(d) - 11*l(d).
-2*d**3 - d**2 + 2*d
Suppose 0 = 3*i + 4*m - 12, i - 3*m - 4 + 13 = 0. Suppose i = -6*x + x + 5. Let n(c) = -c - 1. Let q(z) = -5*z - 7. Give x*q(h) - 6*n(h).
h - 1
Let l(h) = -7*h - 4. Let m(o) = -o - 1. Give l(v) - 2*m(v).
-5*v - 2
Suppose 0 = x + 2*i - 0 + 9, -3*x - 19 = -2*i. Let f(h) = -3*h**2 - 10. Let s(g) = 2*g**2 + 7. Give x*s(l) - 5*f(l).
l**2 + 1
Let t(b) = 3*b**2 - 1 + 0*b - 2*b + 3. Let y(q) = 7*q**2 - 5*q + 5. Let j = -2 - -4. Determine j*y(d) - 5*t(d).
-d
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{
"pile_set_name": "DM Mathematics"
}
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- 7*t**2
Let s(a) = 2*a**3 - 8*a**2 - 73*a + 15. Let i(k) = 2*k**3 - 10*k**2 - 73*k + 22. Give -4*i(q) + 5*s(q).
2*q**3 - 73*q - 13
Suppose -63 = 11*d - 32*d. Suppose -r = j + 8, 2*j - d*j - 24 = 5*r. Let x(p) be the first derivative of -p**2/2 - 1. Let b(v) = -3*v - 2. Give r*x(c) + b(c).
c - 2
Let d = 1885 + -1879. Let k(n) = 5*n**2 - 6. Let x(c) = -10*c**2 + 13. What is d*x(m) + 13*k(m)?
5*m**2
Let d(f) = 9*f + 14. Suppose -2252 = 11*x + 6746. Let p = -829 - x. Let m(y) = -3*y - 5. Give p*m(o) - 4*d(o).
-3*o - 1
Let r be (9/6)/((-6)/12). Let k(u) = -u**2 - u - 1. Let y(o) = -2*o**3 - 3*o. Let l(w) = w**3 - 5*w**2 - 6*w - 3. Let c(f) = l(f) - y(f). What is r*k(q) + c(q)?
3*q**3 - 2*q**2
Let s = -21922 + 21919. Let i(x) = x**2 + x + 2. Let g(k) = k**3 + 2*k**2 + k + 1. What is s*g(n) + 2*i(n)?
-3*n**3 - 4*n**2 - n + 1
Let o(u) = 9*u - 7. Let r(k) be the third derivative of -k**4/6 + 2*k**3/3 - 2709*k**2. Calculate 6*o(p) + 11*r(p).
10*p + 2
Let x(y) = -4*y**3 + 3*y + 389. Let t(g) = 3*g**3 - 2*g - 390. Determine 3*t(q) + 2*x(q).
q**3 - 392
Let k(w) = -10*w + 15. Let x(c) = c - 1. Let z = 45 + -46. Suppose 60*f + 45 = 57*f. Give f*x(r) + z*k(r).
-5*r
Let t(f) = -7*f**3 - 11*f**2 + 23*f - 11. Suppose -b = 2*s - 114 + 152, 6*b = -s - 140. Let z(j) = 2*j**3 + 3*j**2 - 6*j + 3. Calculate b*z(l) - 6*t(l).
-2*l**3 - 6*l
Let n(i) = -3*i**3 - 4*i - 9. Let b(c) = 4*c**3 + 5*c + 9. Suppose 370 - 247 = 41*w. Suppose -4*l = -l - 6. What is l*b(u) + w*n(u)?
-u**3 - 2*u - 9
Let n(u) = 3*u**2 - 20*u + 27. Let t(f) = -2*f**2 + 10*f - 14. What is 4*n(z) + 7*t(z)?
-2*z**2 - 10*z + 10
Let c(o) = -37. Let s(n) = 221. Let r(i) = -6*c(i) - s(i). Let d(v) = 5*v**2 - v - 5. What is d(h) + 3*r(h)?
5*h**2 - h - 2
Let b(y) be the first derivative of -y**3/2 + 11*y**2/2 - y - 93. Let c(q) be the second derivative of b(q). Let o(t) = -t + 16. Give 11*c(i) + 2*o(i).
-2*i - 1
Let k(p) = 36045*p - 891. Let r(b) = 75*b - 10*b + 16*b - 2. Determine -2*k(g) + 891*r(g).
81*g
Let w(r) = -13*r**3 + 456*r**2 + 11*r + 15. Let x(k) = -7*k**3 + 228*k**2 + 6*k + 8. Calculate -6*w(c) + 11*x(c).
c**3 - 228*c**2 - 2
Suppose -3 = 35*d - 32*d. Let v be d + (-32)/(-56) - (-64)/(-14). Let x(p) = 2*p + 10. Let j(a) = -3*a - 10. Give v*x(b) - 4*j(b).
2*b - 10
Let q(o) = -3*o**2 - 130 + 245 - 115 - 6*o + o**2. Let i(s) = -s. Give 2*i(p) - q(p).
2*p**2 + 4*p
Let a be (5084/(-34317))/((-2)/(-27)). Let w(u) = -u**2 - 2 + u**2 + 4*u**3. Let h(p) = -1. Calculate a*h(t) + w(t).
4*t**3
Let n(i) = i - 1. Let f(h) = -10*h + 5. Let v(p) = f(p) - n(p). Let w(s) = -1 - 4 + 1 - 7 + 21*s. What is 11*v(c) + 6*w(c)?
5*c
Let k(z) = z + 1. Suppose 109*b = 108*b + 8. Let g(j) = -1 - 5 - 2 - b*j - 2*j. What is 3*g(t) + 24*k(t)?
-6*t
Let n(c) = 193*c + 7. Let p(r) = -577*r - 21. What is 7*n(a) + 2*p(a)?
197*a + 7
Let u = -804 + 803. Let z(x) = x - 1. Let b(n) = -15 + 5 + 8*n + 6. What is u*b(l) + 2*z(l)?
-6*l + 2
Let z(n) = -33*n + 42. Let k(r) = 18*r - 24. Let o(b) = 9*k(b) + 5*z(b). Let f = 15 - 10. Let j(u) = -3 - 13 - 1 - 3*u - f*u. What is -4*j(c) + 11*o(c)?
-c + 2
Let d(g) = -8*g + 8. Let a(k) = -k + 1. Let f be (2/(3/(-3)))/(30/(-5) + 8). Give f*d(n) + 6*a(n).
2*n - 2
Let l = 4 + -7. Let u(d) be the first derivative of -d**2/2 - 3*d + 4. Let w(b) be the first derivative of -b**2 - 5*b + 39. Determine l*w(s) + 5*u(s).
s
Let k be 16*11/(-143) - (-60)/260. Let u(d) = -d**2 - d + 2. Let l(h) be the second derivative of h**4/12 + 2*h. What is k*u(n) - 3*l(n)?
-2*n**2 + n - 2
Let p be (-12)/(-21) - 641/7. Let b be (24/21)/((-26)/p). Let k(g) = 1. Let r(o) = o**2 + o + 4. Determine b*k(j) - r(j).
-j**2 - j
Let b(a) = -7189*a + 7. Let o(v) = 3577*v - 4. Give -3*b(g) - 5*o(g).
3682*g - 1
Let j(m) = -133*m - 6. Let w(z) = 15540*z + 700. Give 700*j(p) + 6*w(p).
140*p
Let g(k) = 9. Let h(i) = -1369*i - 90. What is 10*g(p) + h(p)?
-1369*p
Suppose 11*z + 4*k - 26 = 16*z, 3*k + 57 = -9*z. Let m(q) = 2*q - 3. Let s(i) = 4*i - 6. What is z*s(n) + 13*m(n)?
2*n - 3
Let x(r) be the third derivative of -5*r**3/6 - 4*r**2. Suppose -10*y + 397 - 457 = 0. Let j(a) = -a + 6. Calculate y*x(z) - 5*j(z).
5*z
Let r(z) = -2*z**2 + 8*z + 4. Suppose 0 = 4*p + 12, -s + 2*p + p = 238. Let u = -251 - s. Let c(b) = -2*b**2 + 7*b + 3. Give u*r(l) + 5*c(l).
-2*l**2 + 3*l - 1
Let k(r) = -24*r + 271. Let s be k(11). Let d(b) = 6*b**3 + 7*b**2 + 7. Let z(j) = 2*j**3 + 2*j**2 + 2. Calculate s*z(c) - 2*d(c).
2*c**3
Let t(j) = 4*j - 2. Let d = 607 + -547. Let f = d + -65. Let s(u) be the second derivative of 3*u**3/2 - 5*u**2/2 + 2*u. Give f*t(w) + 2*s(w).
-2*w
Let g(w) = 2*w**3 + 5*w**2 + 28*w + 5. Let n(c) = -c**3 - 2*c**2 - 14*c - 2. Let y = -5599 - -5597. Give y*g(x) - 5*n(x).
x**3 + 14*x
Let z(q) = 7*q**3 - 8*q**2 - 892*q + 8. Let o(d) = 4*d**3 - 5*d**2 - 594*d + 5. Determine -8*o(c) + 5*z(c).
3*c**3 + 292*c
Let l be (18 + 118)/17 - 19. Let i(a) = 3*a**3 - 4*a. Let m(r) = -8*r**3 + 11*r - 1. Calculate l*i(v) - 4*m(v).
-v**3 + 4
Suppose -10 = -2*s + 2*b + 14, -4*s + 6 = 2*b. Let v(k) = 3*k**3 + 5*k**2 - 7*k - 5. Let d(j) = -3*j**3 - 6*j**2 + 8*j + 6. Give s*d(q) + 6*v(q).
3*q**3 - 2*q
Let s(x) = -342*x - 171*x**2 + 336*x + 177*x**2 + 7*x**3 - 5. Let h(g) = -g**3 - g**2 + g + 1. Calculate 6*h(w) + s(w).
w**3 + 1
Let g(r) = -856*r**3 - 12*r**2 + 8*r + 4. Let p(k) = k**3 + 3*k**2 - 1. Determine -g(t) - 4*p(t).
852*t**3 - 8*t
Let t(q) be the first derivative of -3*q**2/2 + q - 61. Let m(y) be the first derivative of 2*y**2 - 17. Calculate 2*m(x) + 3*t(x).
-x + 3
Let a(b) = 17*b - 124. Let k(z) = -475*z + 3534. Let m(p) = 57*a(p) + 2*k(p). Let x(r) = -56*r. Determine -16*m(t) - 5*x(t).
-24*t
Suppose -446 = 16*m - 622. Let v(x) = 22*x**2 + 4*x - 6. Let z(n) = -43*n**2 - 7*n + 11. What is m*v(b) + 6*z(b)?
-16*b**2 + 2*b
Let f(z) = -z**3 - 81*z**2 - 33*z - 26. Let o(d) = d**3 + 130*d**2 + 49*d + 40. Calculate -8*f(w) - 5*o(w).
3*w**3 - 2*w**2 + 19*w + 8
Let m(j) = -j - 1. Let r(z) = -2*z**2 + 4*z - 1. Suppose 0 = -11*u - 1886 - 2723. Let w = -420 - u. Determine w*r(k) - 2*m(k).
2*k**2 - 2*k + 3
Let m(c) = 242*c**3 - 4*c**2 + 17*c - 4. Let k(i) = -i**2 + 4*i - 1. Determine 8*k(s) - 2*m(s).
-484*s**3 - 2*s
Let u(f) = -f**2 - 2. Let g(o) = -1 - 2338*o**2 - 2349*o**2 + 4685*o**2. Suppose -1 = -2*j + 7. What is j*g(a) - 3*u(a)?
-5*a**2 + 2
Let a(i) = -i**2 - i + 1. Let b(o) be the first derivative of 7*o**3/3 + 3*o**2 - 2*o - 3885. Let f = 22 - 17. Give f*a(h) + b(h).
2*h**2 + h + 3
Let f(t) = -7*t - 103. Let h(n) = -17*n - 204. Calculate -5*f(u) + 3*h(u).
-16*u - 97
Suppose 4*z + 168 = 4*x, -z + 2*z - 153 = -4*x. Let p(g) = 23 + 6*g + 17 - x + 4*g**3. Suppose 3*s + 0*s = 18. Let f(q) = q. What is s*f(d) - p(d)?
-4*d**3 - 1
Let o(s) = 2504*s**2 + 7*s - 7. Let a(w) = -2501*w**2 - 5*w + 5. What is 4*a(n) + 3*o(n)?
-2492*n**2 + n - 1
Let b(s) = 19*s + 8. Let v(m) = -m - 1. Let x = -6036 - -6030. Determine x*v(w) - b(w).
-13*w - 2
Let i(m) = -m - 1. Let r be (16 + -33 - -18)/(0 + -1). Let b(u) = -4*u + 1. Determine r*b(x) + 2*i(x).
2*x - 3
Let t(x) = -5*x**3 - 3*x + 1. Let i(u) = -3 + 0 + 0 + 14*u**3 + 9*u. Suppose -5*h - 227 = -207. Determine h*i(w) - 11*t(w).
-w**3 - 3*w + 1
Suppose 7*x = 5*a - 23, -37*x - 27 = -40*x - 4*a. Let v(b) = b**2 + 10*b + 4. Let l(h) = h + 1. Determine x*v(z) - 6*l(z).
z**2 + 4*z - 2
Let x(n) = 4*n**3 + 3*n**2 + 3 - n + 0*n**2 + 0*n**2. Let v(b) = -9*b**3 - 7*b**2 + 8*b - 7. Let a(g) = g. Let w(t) = 5*a(t) - v(t). Calculate 6*w(p) - 14*x(p).
-2*p**3 - 4*p
Let t(r) = 17*r**3 + 12*r - 40. Let d(k) = -k**3 - 3*k. Calculate -4*d(i) - t(i).
-13*i**3 + 40
Let r(a) = -a**2 + 44*a - 1. Let m(q) = 225*q**2 + 173*q - 6. Give -m(k) + 4*r(k).
-229*k**2 + 3*k + 2
Let b(h) = -4*h**3 + h**2 - h. Let x(d) = 3*d**3 - 6*d**2 + 3*d + 7. Give -b(z) - x(z).
z**3 + 5*z**2 - 2*z - 7
Let h(n) = 5*n + 1. Let v(o) = 28*o - 19. Determine 3*h(d) - v(d).
-13*d + 22
Let m(h) = -h. Let f(y) = 3*y + 13. Suppose 9*o = 8*o - 38*o - 156. Give o*m(w) - f(w).
w - 13
Let n(s) = 27*s**3 + 4*s**2 + 41. Let f(p) = 14*p**3 + 2*p**2 + 24. Calculate 5*f(w) - 3*n(w).
-11*w**3 - 2*w**2 - 3
Let r(v) = 3*v + 17. Let k(l) = l + 4. Let q(g) = -6*g - 11. Let p(n) = 8*n + 12. Let z(y) = 2*p(y) + 3*q(y). Let x be z(0). Determine x*k(b) + 2*r(b).
-3*b - 2
Let h(y) = -6 - 2*y**3 + 0*y*
|
{
"pile_set_name": "DM Mathematics"
}
|
1.92
What is the product of 0.11639 and 652?
75.88628
Multiply -48161339 and -3.
144484017
Work out -2.654014 * 0.08.
-0.21232112
Product of 8 and -25.43542.
-203.48336
What is the product of -17136.78 and -0.1?
1713.678
Multiply 1117569 and -0.182.
-203397.558
Work out -2.125 * 203048.
-431477
Product of -0.1006372 and 82.
-8.2522504
Product of 0.0126 and -0.54391.
-0.006853266
What is the product of 1 and -1597.507?
-1597.507
Calculate 0.1*-1.384186.
-0.1384186
Calculate -1348114.7*-2.2.
2965852.34
Calculate -253517*-60.
15211020
Product of 1.565 and -0.2217.
-0.3469605
Calculate 2844497*-0.3.
-853349.1
Work out 607 * 17446.
10589722
Multiply -75235119 and -4.
300940476
What is 4 times -259.66658?
-1038.66632
What is -69.63762 times 0.5?
-34.81881
594707546 * 0.1
59470754.6
Product of -0.01879 and 5955.3.
-111.900087
Calculate 1.1888582*3.
3.5665746
10 * -103589.9
-1035899
-4.95624026 times -0.2
0.991248052
Work out -5 * -25.049909.
125.249545
Calculate 1*2472.66818.
2472.66818
471 * 4098
1930158
Calculate -2.5468*1321.
-3364.3228
What is the product of 287.6 and -5209?
-1498108.4
Work out 1763666073 * -5.
-8818330365
-1536872*5
-7684360
Multiply -16171711 and 0.2.
-3234342.2
What is the product of -7.9304 and -633?
5019.9432
Work out 5477 * 851.28.
4662460.56
What is 1181 times -0.0018?
-2.1258
Multiply 84928 and -16.9.
-1435283.2
0.391 times 219055
85650.505
Product of -2270.81 and -70.
158956.7
What is 34916976 times 2?
69833952
Calculate -2.6*-2411048.
6268724.8
-2855*189.88
-542107.4
What is -21072 times -240?
5057280
Calculate -9*-385967.
3473703
What is -5143401 times 4?
-20573604
Product of -4436859 and 0.
0
10005.44 * -232
-2321262.08
What is -17904.013 times -0.1?
1790.4013
Work out 537719893 * 0.1.
53771989.3
What is the product of -0.2 and -924920.2?
184984.04
What is the product of 5615.568 and -0.4?
-2246.2272
-3 times 522.863
-1568.589
93.78*978.1
91726.218
-0.08397 * -1925
161.64225
What is -2 times 12630907.5?
-25261815
Multiply -27770423 and 5.
-138852115
-0.008*100.53
-0.80424
0.0293632 times -0.124
-0.0036410368
What is the product of -0.362266876 and 0.2?
-0.0724533752
Multiply 0.06 and 16.7734717.
1.006408302
26718 times 41
1095438
What is the product of 2976920 and -2?
-5953840
Work out -42430399 * -0.5.
21215199.5
Product of -2 and -2772301.
5544602
Multiply -213 and -9897.37.
2108139.81
Calculate -0.8985*-13225.
11882.6625
-2251 times 140758
-316846258
-313*1949841
-610300233
-0.3 * 73.733043
-22.1199129
-0.3*-11925463
3577638.9
Calculate 0.04*-17259384.
-690375.36
What is 3 times 45.470904?
136.412712
Calculate 26367*117.
3084939
Calculate -148148.18*5.
-740740.9
What is -343982 times -67?
23046794
What is the product of 0.146 and 0.0372858?
0.0054437268
What is 2 times 597753?
1195506
191582286 * -8
-1532658288
Product of 79652165 and -1.
-79652165
47.1 times 12.4
584.04
Work out 545292 * 29.
15813468
What is -303.42 times 0.0568?
-17.234256
Multiply -0.079 and -35417.
2797.943
11 times 3187892
35066812
-47 * -4.11451
193.38197
39 * 15899
620061
-9892*-14.47
143137.24
-1407.251 times -5
7036.255
Multiply 0.928969 and 0.1.
0.0928969
Product of 3110.805 and 4.
12443.22
Multiply -73891402 and 0.1.
-7389140.2
1*-17918
-17918
Calculate 2534*-1540.
-3902360
Product of -722 and -33.791.
24397.102
Work out 0.473 * -94.905.
-44.890065
Work out -2574 * 0.696.
-1791.504
-0.01 times -41220927
412209.27
Multiply -0.8 and -2580.257.
2064.2056
6456*-437
-2821272
Product of -2.61 and 6429.7.
-16781.517
What is the product of 34.7336 and -39.7?
-1378.92392
Calculate -1.3*331584.
-431059.2
Product of 3 and 1566241.
4698723
-0.07512*886
-66.55632
Calculate 36.1*-4.1274.
-148.99914
Product of -24.1 and 203722.
-4909700.2
Product of 1016556 and -12.6.
-12808605.6
0.32549*3.38
1.1001562
-4478 times 0.388
-1737.464
8*-28695354
-229562832
What is the product of -0.5 and -101791.1?
50895.55
Multiply -1 and -9909555.
9909555
Work out -2 * -2.351203.
4.702406
Work out -0.021 * -1457.
30.597
Calculate 2.114*37295.
78841.63
20752.15 * -204
-4233438.6
0.61 * 12015.6
7329.516
Calculate 451*-9116.
-4111316
Multiply 0.5277 and 52.
27.4404
74*4296
317904
What is the product of 0.1 and -163367?
-16336.7
Work out -415620 * 5.07.
-2107193.4
Calculate -1.619*0.717.
-1.160823
What is the product of 241 and -2258929?
-544401889
Multiply -112857 and -50.
5642850
What is the product of 14310.4 and 5.76?
82427.904
Calculate 22300.7*0.852.
19000.1964
Multiply -693959 and -0.8.
555167.2
Multiply 31 and 42403896.
1314520776
Calculate -1.1*6.03771.
-6.641481
Product of 3202 and -0.1448.
-463.6496
-0.0266 times -18547.5
493.3635
-58.761*23.61
-1387.34721
Work out -127 * 0.032985.
-4.189095
-36957.539 * 0.2
-7391.5078
Work out 2.6232 * 108.15.
283.69908
-812827.56 * 3
-2438482.68
Work out 0.4 * 0.7572888.
0.30291552
Work out 79437 * 1.75.
139014.75
Work out 4913 * -118635.
-582853755
Calculate 4.31385*-1464.
-6315.4764
What is 18059.6181 times -3?
-54178.8543
Multiply -2 and 697329.
-1394658
-22760449*-0.1
2276044.9
What is the product of 5846 and 10968?
64118928
What is the product of 64061364 and -0.02?
-1281227.28
188.299 times 4.3
809.6857
7*40435855
283050985
Work out 0.0893653 * -246.
-21.9838638
Calculate -1.119*3.345.
-3.743055
Multiply 425 and -68824.
-29250200
Multiply 27 and -3853091.
-104033457
5452*46934
255884168
Calculate -15707011*-2.3.
36126125.3
What is the product of -3207554 and 6?
-19245324
What is the product of 14.5570124 and 0.06?
0.873420744
Product of 2763562 and -114.
-315046068
Product of -2.0958 and 0.16.
-0.335328
205762 * -2.001
-411729.762
Multiply -2.715758 and 193.
-524.141294
Multiply -781476 and -0.375.
293053.5
Work out -0.5 * 1610555.
-805277.5
Multiply -34451473 and 2.
-68902946
Product of 46416 and 6839.
317439024
-660961*-18.4
12161682.4
What is the product of -56.31 and 35.8?
-2015.898
What is the product of -8.3 and 903848.2?
-7501940.06
What is -0.28 times -19565411?
5478315.08
What is the product of 12.568 and 0.0815?
1.024292
-1431 * -471.2
674287.2
What is the product of -464 and -7472?
3467008
0.31 times 7807
2420.17
-15943484 times -2.8
44641755.2
Product of 0.12 and -0.16580843.
-0.0198970116
Calculate -7446*0.3514.
-2616.5244
What is 2081 times 8744?
18196264
Product of 16568956 and -12.
-198827472
What is the product of -0.224238 and -240?
53.81712
Product of -32 and 137224.
-4391168
Calculate 443*0.01958.
8.67394
Multiply -1.22 and 11.64698.
-14.2093156
-584.6045 * -0.1
58.46045
Work out -0.1 * -4.7195896.
0.47195896
-24 times 2115570
-50773680
What is -28339 times -577?
16351603
Calculate 0.877*-0.106.
-0.092962
What is 1409 times -14452?
-20362868
Work out -0.4 * 2.599026.
-1.0396104
133.9 times 2781
372375.9
What is 1.1453 times -3.6?
-4.12308
Multiply 95.72259 and 0.2.
19.144518
0.3*-102225840
-30667752
-15 * 395.7556
-5936.334
Work out -5080.4488 * -2.
10160.8976
What is the product of -22196348 and -5?
110981740
What is -2.4 times 0.07215?
-0.17316
Product of -10.83 and -58.
628.14
Multiply -1.3897 and -941.
1307.7077
Calculate 0.10186275*-0.1.
-0.010186275
Multiply -100436 and -4.
401744
What is -10.54 times -0.067392?
0.71031168
Work out 2328 * 0.04283.
99.70824
10.241 * 1193.6
12223.6576
50.42 * -2.7343
-137.863406
1.3 * -0.92511
-1.202643
-929790 * 0.491
-456526.89
Work out 53548.3 * -46.
-2463221.8
What is the product of -2626 and 6032?
-15840032
Calculate -3702*1606.48.
-5947188.96
What is -0.122232 times -51?
6.233832
What is 11873661 times 64?
759914304
-0.3 times -1365.631
409.6893
What is the product of 1692309 and 8?
13538472
What is the product of -36.3 and 846?
-30709.8
What is the product of 7065 and -47.02?
-332196.3
What is 0.5 times 12593875?
6296937.5
Work out -115845740 * -4.
463382960
20125528 times 0.4
8050211.2
Calculate -568091.62*-0.12.
68170.9944
329*-0.1648
-54.2192
-2453*-0.57324
1406.15772
35517262 times 5
177586310
Work out -146648 * -13.
1906424
76833162*-1
-76833162
Product of 7 and -51774494.
-362421458
Product of -0.3 and -67388591.
20216577.3
Product of 476683 and 0.133.
63398.839
162.099 * -2.36
-382.55364
-2920 times 169647
-495369240
-12 times 16.77839
-201.34068
What is the product of -5490 and 0.6327?
-3473.523
-201949.36 times 0.5
-100974.68
52*-23944.01
-12450
|
{
"pile_set_name": "DM Mathematics"
}
|
1 = p - 47119 for p.
-7
Solve -182*t - 32 = -180*t - 2*u, 3*u - 8 = -5*t for t.
-5
Solve -4*j + 11 = y, 2*y - 56 = -5*y - y for j.
1
Solve 5*b - 2*s + 13 = 0, -6938*s + 6937*s - 4 - 12 = 2*b for b.
-5
Solve -5*b + 244 - 257 = i, -2*i - 5*b - 16 = 0 for i.
-3
Solve t = -3*q - 3, 142*q - 12 = 4*t + 139*q for t.
-3
Solve 0 = 5*p - 2*c - 6, -3*p + 4*c - 117 = -115 for p.
2
Solve -4*r + 8 = -4*m, 4*r + 36*m - 38*m = 8 for r.
2
Solve 47*x - 48*x + 16 = 5*l, -6*x + l + 3 = 0 for x.
1
Solve 5*c + 20 = 5*l, 2*c - 27 = -557*l + 554*l for c.
3
Solve -k = g + 3, -4*k - 2*g = 757 - 745 for k.
-3
Solve 5*n = -13*j + 17*j - 63, 0 = 3*j - 6 for n.
-11
Solve -o + 17 = 0, -16*k - 2*o + 0*o = -7*o + 101 for k.
-1
Solve -2*p + r = 0, p + 2538*r = 2536*r + 15 for p.
3
Solve 4*u - 4*o = -40, 73*u - 54*u + o + 90 = 0 for u.
-5
Solve -5*d + o - 12 = -7*d, 2*d = 5*o - 12 for d.
4
Solve 0 = -s - h + 3, 0 = -3*s + 223*h - 217*h for s.
2
Solve 5*l = -15, l = -228*c + 231*c + 9 for c.
-4
Solve -19*v = 2*g - 17*v + 6, 2*g - 5*v - 22 = 0 for g.
1
Solve 0 = 4*a - 843*y + 848*y + 9, -3*y = -2*a + 1 for a.
-1
Solve 2*p = 5*c, -2*c + 23 = 4*p - 25 for p.
10
Solve -4*f = -2*t + 20, -5*f - 119 = -5*t - 3*f - 101 for t.
2
Solve s - 53 = -5*h, 90*s - 91*s - 7 = -h for h.
10
Solve 40 = 1091*c - 1096*c + 5*j, -6*c = 5*j - 84 for c.
4
Solve -10*c = 5*p + 100, p - 127 = 4*c - 75 for p.
4
Solve -20 = 4*j - p, 5*j + 46*p = 41*p - 50 for j.
-6
Solve 2*i - 3*g = 5, i = -88*g + 87*g - 5 for i.
-2
Solve 4 = -28*y + 33*y + b, 0 = -2*y + 2*b + 16 for y.
2
Solve 0 = 3*g + m + 35290 - 35322, g - 118 = -5*m for g.
3
Solve 4*z + 49 = d, 55*z - 56 = 60*z - 3*d for z.
-13
Solve 5*c = x - 253 + 109 + 116, 0 = 4*x + 3*c - 20 for x.
8
Solve -4*f + 937 = -4*w + 885, 2*f + 14 = -2*w for w.
-10
Solve -25 = 28109*b - 28104*b + 5*p, p + 53 = -7*b for b.
-8
Solve r - 2*o - 14 = 0, 2*o + 18 = 49*r - 50*r for r.
-2
Solve 0 = 4*v + 4*y + 11 + 5, -4*v = 5*y + 19 for v.
-1
Solve -22*l + 11 = -2*q - 19*l, -11*q = l - 27 for q.
2
Solve 968 - 950 = -3*c - b, 3*c - 54 = 5*b for c.
-2
Solve -138 + 120 = -3*y + 3*j, -y - 6 = 3*j for y.
3
Solve -20 = -2*m - 3*p, 0 = 5*m - 6*m - 3*p + 25 for m.
-5
Solve -2*a - 74 + 65 = -3*y, -2*y + 4*a + 14 = 0 for y.
1
Solve -3892*z + 3888*z + 2 = -2*x, 4*x + x - 15 = 0 for z.
2
Solve 3*s - 4*l = -82 + 93, -2*s = l for s.
1
Solve 4*s + 5*r - 1 = 0, 10*r - 11*r + 5 = -4*s for s.
-1
Solve 3*b = -8627*u + 8623*u + 101, -2*u + 159 = 5*b for u.
2
Solve 0 = 5*z + 3*m - 26, 13*m + 28 = 4*z + 16*m for z.
-2
Solve 4*w - 5*n + 45 = 0, 0 = 2*w - 21*n + 17*n + 30 for w.
-5
Solve -31363*p + 3*w - 18 = -31365*p, 0 = -5*p + 3*w + 24 for p.
6
Solve -8*r + 4*h + 80 = -3*r, -r = 2*h + 26 for r.
4
Solve 44*h - 42*h = 2*n, 5*h - 15 = 2*n for n.
5
Solve 5*j + 3*o - 9 + 35 = 0, -1 = -2*j - o - 11 for j.
-4
Solve -2*i = -6, -7 = -10*u - 5*i - 252 for u.
-26
Solve -3*q - 2*u + 4 = 0, 1528 = 3*q - 4*u + 1572 for q.
-4
Solve v + 2*j = 8 - 16, 4*v = 3*j + 23 for v.
2
Solve -6 = -3*w - 3*f, -55*w = -60*w - 2*f + 1 for w.
-1
Solve 3*u - 5*s = 12, 0 = -4*u - 172*s + 167*s - 19 for u.
-1
Solve -3*n = 2*c + 22, -4*c + 4*n - 3845 + 3881 = 0 for c.
1
Solve 2*v - 19 = 5*z, 22*v + 13 = -7*z + 18*v for z.
-3
Solve 0 = -5*w + 75, 2056*f - 2059*f - 5*w + 60 = 0 for f.
-5
Solve 2072*q = 4*i + 2069*q + 13, q = -i + 2 for i.
-1
Solve -3*o - 20*f = 2*f + 5*f - 150, 8*f - 60 = -4*o for o.
5
Solve 456*a - 458*a = -4, 3*m = -2*a - 2 for m.
-2
Solve 3*j - r = -0*r - 10, 32 = -r + 30 for j.
-4
Solve -33*f + 268 = -73*f - 27*f, 3*f + 2 = -5*z for z.
2
Solve 5*m = 2*b + 8, 2*b + 79 - 71 = -4*m for b.
-4
Solve -d + 8*b = 11, -34*d + 2*b = -30*d - 16 for d.
5
Solve -528*t + 533*t - 3 = -7*d - 19, -9*t + 5 = -4 for d.
-3
Solve -790*w + 789*w - 101 = 5*u, w = -3*u - 61 for w.
-1
Solve -l - 3 = 3*k, -56*l - 2*k - 2 = -61*l for l.
0
Solve -57*n - 5*v - 82 = -49*n, 23 = -3*n + 2*v for n.
-9
Solve -5*c + 16 = 204*v - 206*v, c - 8 = -2*v for c.
4
Solve 0 = y - 2*n - 5 + 12, 7 = 4*y - 12*n + 11*n for y.
3
Solve -1 = -h, 2790*h - 2795*h = -5*w + 20 for w.
5
Solve 130*x - 3 = -5*j + 136*x, 4*j - 22 = -5*x for j.
3
Solve 5*z + 5 = -4*u, 14 - 39 = 3*u - 10 for z.
3
Solve 4 = -4*b - 4*l, 5*b + 5 = -3*l - 0 for b.
-1
Solve -4*q = -14*t - 64, 0 = -26*t + 27*t - 5*q + 14 for t.
-4
Solve u + 5*a - 5 = -u - 0, 4 = 4*a for u.
0
Solve -8*r - 6*a + a + 33 = 48 + 50, -r + a = 0 for r.
-5
Solve 0 = -6219*n + 6215*n - v + 40, -2*n + 128 = 5*v for n.
4
Solve -5*x = -21*o + 342, -9*o - 100 = -28*o + 14*o - 5*x for o.
17
Solve 10*z - 5*z + 60 = -3*w, 5*z = 3*w + 60 for w.
-20
Solve 3*n + 57*g = 52*g - 55, -3*n - 2*g = 49 for n.
-15
Solve -d - 2*u = 0, 4*d - 6*u - 69 = -97 for d.
-4
Solve 1051*i + l + 20 = 1056*i, -3*i + 3*l = 0 for i.
5
Solve 0 = -m - 5*q - 38, 19*q + 6 = 5*m + 16*q for m.
-3
Solve x = -2*m + 4, 4*x - 75*m = -70*m - 36 for x.
-4
Solve -r - 17*d + 19*d = -12, -r - 3*d - 13 = 0 for r.
2
Solve -67*t + 3*k = -66*t + 22, -7*k = 4*t + 145 for t.
-31
Solve -3*a = 2*y - 0*y - 4, -6*a - 2 = -5*a for y.
5
Solve -5*o - 70 = 5*g, -o + 4*g - 16 = 3*o for o.
-9
Solve 4*j = 15*b + 30, 2*j + 12 - 10 = -b for j.
0
Solve 284*g - 37 = 146*g + 142*g + l, 4*g + 46 = 2*l for g.
-10
Solve -4*l - 11*n + 10*n - 20 = 0, -4*n - 22 - 26 = 8*l for l.
-4
Solve -5*b + 21 = -61*t + 57*t, -4*b + 9*t + 11 = 0 for b.
5
Solve 0 = -s + 3*p, -5*s + 4*p = -1113 + 1168 for s.
-15
Solve 6*d + 5*p - 37 = 0, 16*d - 42*p + 46*p - 52 = 0 for d.
2
Solve -2*n = -2*z + 2, 5*z - 81 = 3*n - 86 for n.
-5
Solve -4*k + f + 18 = 0, 0 = -22*k + 18*k - 4*f + 8 for k.
4
Solve -16 = q + 2*i, -70*q + i = -68*q + 2 for q.
-4
Solve 2*t = 5*p + 18, 5*p + t + 156 = 135 for p.
-4
Solve -5*n + 120 = -5*j, 0 = -217*n + 222*n + 4*j - 93 for n.
21
Solve 0 = 4*a - 4*j + 4, 84*a - 2*j + 22 = 87*a for a.
4
Solve -6 = -3*n - 0, n - 10 = 2*x + 2 for x.
-5
Solve 444*n - 459*n = 5*k + 5, 10*n = -3*k - 2 for n.
1
Solve -p = -27*g + 25*g, -3*p = -2*g + 8 for g.
-2
Solve 5*g + 7*c + 2 = -138, -g + 4*c - 28 = 0 for g.
-28
Solve -g - 17 = 2*a, -2*g = -5*a + 22 - 60 for a.
-8
Solve 8*v + 4*g = 5*v - 50, -5*v = -3*g - 23 for v.
-2
Solve 0*q = q - 2*a - 24, a = 5*q - 30 for q.
4
Solve 3*z = -2*k - 2, 12698*k + 5*z + 10 = 12696*k for k.
5
Solve 0 = 2*r - 6*o + 14, 20 = -3*r + 7*r + 4*o for r.
2
Solve -3*h + 83*y - 86*y - 3 = 0, h + 1 = 4*y for h.
-1
Solve 3*h + 6 = 3*o, 5*o = 308*h - 305*h + 12 for h.
1
Solve 11*w = 10*o - 69 + 23, -5*w - 28 = -o for w.
-6
Solve -x + 28 = -4*g, 40*x - 39*x + 28 = -4*g for g.
-7
Solve 57*x - 2*l + 2 = 59*x, x = -2*l + 7 for x.
-5
Solve -2*m + 12 = 2*j, -3*j - 373*m + 6 = -374*m for j.
3
Solve 0 = -5*x + 5*o + 15, -5*x + 12 = 32*o - 34*o for x.
2
Solve -p + 360*s + 36 = 365*s, 5*s - 35 = 0 for p.
1
Solve 2*y + 5*m - 33 = 0, -5*y + 289*m = -0*y + 287*m + 19 for y.
-1
Solve r = y + 6, 4*y - 973*r = -971*r - 14 for y.
-1
Solve 3 = k + f, 2*f - 90 = -4*k - 88 for k.
-2
Solve -4*z + 30815 - 30827 = -a, 159 = -3*z - 18*a for z.
-5
Solve -3*n - 9*o = -4*o - 18, -6 = -2*o for n.
1
Solve -4*n - 3*q - 17 = 0, 0 = 10*n - 4*q - 51 + 151 for n.
-8
Solve 0 = z + 3*l + 2, -5*l = 2*z + 47 - 42 for z.
-5
Solve 0*s = -2*s - 4, -3*q + 20 = -4*s for q.
4
Solve 5*j - 4 = 3*b, 0 = -5*j + 4*b - 3114 + 3121 for j.
-1
Solve 4*j + 4*m - 626 + 674 = 0, -m = -2*j - 15 for j.
-9
Solve -2*p = -o + 10, 6 = 411*p - 408*p + 2*o for p.
-2
Solve 0 = 4*u, -2*u = 46*y - 47*y + 1 + 4 for y.
5
Solve -3*k + 18 = -d, -726*k = -3*d - 722*k - 29 for d.
-3
Solve -74*n + 78*n = -16, 4*n = -m - 16 for m.
0
Solve -37 + 31 = o + p, 2*o - 5*p = 30 for o.
0
Solve -9*z - 21*j + 19*j - 128 = 0, 29 = -2*z - j for z.
-14
Solve 0 = 2*c - 10*d - 20, -5*c - 104659 = -5*d - 104649 for c.
-5
Solve 2*j + 5*x + 19 = 0, -32 = 3*j - 4*x - 38 for j.
-2
Solve -3*t + 2*u = -16, 3*t + 575 = -u + 594 for t.
6
Solve 0 = 3*x - 6*s + 18, -24*x + 5*s = -23*x + 18 for x.
2
Solve 5*j + 54 = 2*f, -2*j - f + 69 - 87 = 0 for j.
-10
Solve 0 = -7*a - 6*b - 63, -5*a - 75 = -2*b - 74 for a.
-3
Solve -5*r + 555*j - 557*j = -22, -3*j - 1 = -r for r.
4
Solve 0 = 2*k - 5*q + 33, 199*k - 202*k = 4*q - 8 for k.
-4
Solve 6*u + 16 = -3*q - 3*u + 14*u, 0 = q + u for q.
-2
Solve -2*o + 4*o - 3*f + 4 = 0, 0 = 5*o + 10*f - 25 for o.
1
Solve 2*q - 13 = s, -3*q = 3*s - 62 + 65 for q.
4
|
{
"pile_set_name": "DM Mathematics"
}
|
40
What is the c'th term of -243, -461, -689, -933, -1199, -1493, -1821, -2189?
-c**3 + c**2 - 214*c - 29
What is the z'th term of 6537, 6533, 6527, 6519, 6509, 6497, 6483?
-z**2 - z + 6539
What is the q'th term of 183, 196, 217, 246, 283, 328, 381?
4*q**2 + q + 178
What is the d'th term of 41, 45, 51, 59, 69?
d**2 + d + 39
What is the a'th term of 232, 240, 256, 280, 312, 352, 400?
4*a**2 - 4*a + 232
What is the h'th term of -1310, -2621, -3932, -5243?
-1311*h + 1
What is the c'th term of -854, -761, -606, -389, -110?
31*c**2 - 885
What is the j'th term of 3113, 6228, 9343, 12458, 15573?
3115*j - 2
What is the g'th term of -98, -187, -264, -323, -358, -363?
g**3 - 96*g - 3
What is the z'th term of 41, 87, 137, 191?
2*z**2 + 40*z - 1
What is the r'th term of 14329, 14328, 14327?
-r + 14330
What is the v'th term of 15, 32, 41, 36, 11, -40?
-v**3 + 2*v**2 + 18*v - 4
What is the c'th term of 621, 623, 627, 633, 641?
c**2 - c + 621
What is the h'th term of 88, 159, 230, 301, 372?
71*h + 17
What is the m'th term of 76, 194, 302, 394, 464, 506, 514, 482?
-m**3 + m**2 + 122*m - 46
What is the p'th term of -150, -298, -446, -594?
-148*p - 2
What is the o'th term of -53, -86, -123, -164, -209, -258, -311?
-2*o**2 - 27*o - 24
What is the y'th term of 166, 246, 326?
80*y + 86
What is the g'th term of 8, -50, -108, -166, -224?
-58*g + 66
What is the t'th term of -5, -16, -35, -62?
-4*t**2 + t - 2
What is the h'th term of -302, -475, -648, -821?
-173*h - 129
What is the v'th term of 341, 684, 1029, 1376, 1725, 2076?
v**2 + 340*v
What is the w'th term of 23, 27, 35, 47?
2*w**2 - 2*w + 23
What is the t'th term of -3190, -6382, -9574?
-3192*t + 2
What is the t'th term of -60, -73, -84, -93, -100, -105?
t**2 - 16*t - 45
What is the f'th term of -171, -312, -539, -846, -1227, -1676?
f**3 - 49*f**2 - f - 122
What is the k'th term of -1776, -3558, -5344, -7134, -8928, -10726?
-2*k**2 - 1776*k + 2
What is the v'th term of -1, -4, -19, -52, -109, -196, -319, -484?
-v**3 + 4*v - 4
What is the c'th term of -84, -203, -322, -441?
-119*c + 35
What is the y'th term of -3796, -3797, -3798?
-y - 3795
What is the t'th term of 7473, 7471, 7469, 7467, 7465?
-2*t + 7475
What is the q'th term of -275, -295, -327, -371, -427?
-6*q**2 - 2*q - 267
What is the i'th term of -4226, -4223, -4208, -4175, -4118, -4031, -3908?
i**3 - 4*i - 4223
What is the l'th term of 29, 57, 83, 107?
-l**2 + 31*l - 1
What is the b'th term of -555, -1112, -1669, -2226, -2783?
-557*b + 2
What is the j'th term of 194, 164, 134, 104?
-30*j + 224
What is the h'th term of -10, -19, -30, -43?
-h**2 - 6*h - 3
What is the u'th term of 20, 17, 12, 5, -4, -15, -28?
-u**2 + 21
What is the d'th term of 1724, 3449, 5174, 6899, 8624?
1725*d - 1
What is the m'th term of 0, 23, 34, 27, -4, -65, -162?
-m**3 + 30*m - 29
What is the r'th term of -46, -45, -44, -43, -42, -41?
r - 47
What is the h'th term of -11, -10, -7, -2, 5, 14?
h**2 - 2*h - 10
What is the h'th term of -318, -307, -292, -273, -250, -223, -192?
2*h**2 + 5*h - 325
What is the o'th term of 128, 131, 134, 137?
3*o + 125
What is the h'th term of -400, -402, -404, -406?
-2*h - 398
What is the h'th term of -386, -761, -1138, -1517, -1898?
-h**2 - 372*h - 13
What is the x'th term of 51, 121, 211, 315, 427, 541?
-x**3 + 16*x**2 + 29*x + 7
What is the w'th term of -106, -83, -60, -37?
23*w - 129
What is the h'th term of 2, 30, 104, 248, 486, 842, 1340?
4*h**3 - h**2 + 3*h - 4
What is the h'th term of 1786, 3572, 5358, 7144, 8930, 10716?
1786*h
What is the k'th term of 52, 64, 80, 100, 124?
2*k**2 + 6*k + 44
What is the p'th term of 1, 9, 17, 25?
8*p - 7
What is the t'th term of -254, -258, -264, -272, -282?
-t**2 - t - 252
What is the k'th term of 274, 267, 260, 253, 246?
-7*k + 281
What is the r'th term of -16, -9, 4, 23, 48, 79, 116?
3*r**2 - 2*r - 17
What is the u'th term of -54, -57, -62, -69, -78, -89, -102?
-u**2 - 53
What is the c'th term of 206, 414, 622?
208*c - 2
What is the i'th term of -31, -19, 7, 53, 125, 229, 371, 557?
i**3 + i**2 + 2*i - 35
What is the h'th term of 176, 163, 136, 89, 16, -89, -232?
-h**3 - h**2 - 3*h + 181
What is the u'th term of 86, 91, 120, 185, 298?
2*u**3 - 9*u + 93
What is the x'th term of -14, -34, -80, -164, -298, -494, -764, -1120?
-2*x**3 - x**2 - 3*x - 8
What is the a'th term of -117, -89, -63, -39, -17?
-a**2 + 31*a - 147
What is the n'th term of 111, 86, 35, -48, -169, -334, -549?
-n**3 - 7*n**2 + 3*n + 116
What is the b'th term of -18, -13, -2, 15, 38?
3*b**2 - 4*b - 17
What is the k'th term of -2807, -2807, -2817, -2843, -2891?
-k**3 + k**2 + 4*k - 2811
What is the x'th term of -110, -425, -948, -1679?
-104*x**2 - 3*x - 3
What is the o'th term of 81, 71, 57, 39?
-2*o**2 - 4*o + 87
What is the s'th term of 121, 102, 73, 28, -39?
-s**3 + s**2 - 15*s + 136
What is the u'th term of -141, -144, -149, -156, -165, -176, -189?
-u**2 - 140
What is the o'th term of -3509, -3515, -3531, -3563, -3617?
-o**3 + o**2 - 2*o - 3507
What is the f'th term of -208, -298, -388, -478, -568, -658?
-90*f - 118
What is the a'th term of 61, 55, 39, 7, -47, -129, -245, -401?
-a**3 + a**2 - 2*a + 63
What is the z'th term of -3059, -6118, -9177, -12236, -15295?
-3059*z
What is the n'th term of 222, 450, 682, 918, 1158, 1402, 1650?
2*n**2 + 222*n - 2
What is the y'th term of -10, -26, -60, -118, -206?
-y**3 - 3*y**2 - 6
What is the x'th term of 7, 5, 3?
-2*x + 9
What is the o'th term of 0, 41, 160, 399, 800?
7*o**3 - 3*o**2 + o - 5
What is the c'th term of 4982, 4967, 4940, 4895, 4826, 4727?
-c**3 - 8*c + 4991
What is the d'th term of -21, -93, -223, -417, -681, -1021?
-d**3 - 23*d**2 + 4*d - 1
What is the z'th term of -100, -139, -204, -307, -460, -675, -964, -1339?
-2*z**3 - z**2 - 22*z - 75
What is the l'th term of -47, -175, -387, -683?
-42*l**2 - 2*l - 3
What is the a'th term of -134, -154, -174, -194, -214?
-20*a - 114
What is the u'th term of -14, 7, 64, 175, 358?
3*u**3 - 17
What is the s'th term of 15, 21, 27?
6*s + 9
What is the q'th term of 795, 1584, 2359, 3114, 3843, 4540, 5199, 5814?
-q**3 - q**2 + 799*q - 2
What is the c'th term of 5, -18, -57, -112?
-8*c**2 + c + 12
What is the l'th term of -11, -60, -195, -458, -891, -1536, -2435, -3630?
-7*l**3 - l**2 + 3*l - 6
What is the f'th term of 1331, 1321, 1299, 1259, 1195, 1101?
-f**3 - 3*f + 1335
What is the r'th term of -13, -5, -1, -1, -5, -13?
-2*r**2 + 14*r - 25
What is the s'th term of -111, -227, -347, -477, -623, -791, -987?
-s**3 + 4*s**2 - 121*s + 7
What is the a'th term of -119, -236, -353, -470, -587?
-117*a - 2
What is the j'th term of -2226, -2219, -2198, -2157, -2090, -1991?
j**3 + j**2 - 3*j - 2225
What is the s'th term of -69, -58, -29, 30, 131, 286, 507?
2*s**3 - 3*s**2 + 6*s - 74
What is the i'th term of -3, -38, -137, -330, -647, -1118?
-5*i**3 - 2*i**2 + 6*i - 2
What is the c'th term of 14, -38, -130, -268, -458, -706, -1018, -1400?
-c**3 - 14*c**2 - 3*c + 32
What is the t'th term of 428, 1711, 3858, 6875, 10768, 15543, 21206?
t**3 + 426*t**2 - 2*t + 3
What is the v'th term of 1398, 1404, 1408, 1404, 1386, 1348?
-v**3 + 5*v**2 - 2*v + 1396
What is the a'th term of -466, -932, -1398, -1864?
-466*a
What is the l'th term of 34, 157, 362, 649, 1018, 1469?
41*l**2 - 7
What is the a'th term of -189, -328, -465, -600, -733?
a**2 - 142*a - 48
What is the j'th term of 892, 1786, 2692, 3616, 4564, 5542, 6556?
j**3 + 887*j + 4
What is the n'th term of 108, 104, 88, 54, -4, -92?
-n**3 + 3*n + 106
What is the d'th term of -3078, -3081, -3084, -3087, -3090?
-3*d - 3075
What is the g'th term of -19, -11, 3, 23?
3*g**2 - g - 21
What is the n'th term of -401, -400, -409, -434, -481?
-n**3 + n**2 + 5*n - 406
What is the c'th term of 48, 72, 96?
24*c + 24
What is the x'th term of -509, -1012, -1509, -2000, -2485?
3*x**2 - 512*x
What is the k'th term of 664, 2660, 5986, 10642, 16628, 23944, 32590?
665*k**2 + k - 2
What is the j'th term of -1, 43, 87, 131?
44*j - 45
What is the y'th term of -1, -26, -69, -136, -233, -366, -541, -764?
-y**3 - 3*y**2 - 9*y + 12
What is the y'th term of -14, -23, -30, -29, -14?
y**3 - 5*y**2 - y - 9
What is the y'th term of -6, -15, -34, -69, -126, -211, -330, -489?
-y**3 + y**2 - 5*y - 1
What is the z'th term of 16, 35, 70, 127, 212, 331?
z**3 + 2*
|
{
"pile_set_name": "DM Mathematics"
}
|
+ 2/(-12)). Let i(z) = 2*z + 4. Let r(m) = 2*m + 3. Let y(v) = 2*i(v) - 3*r(v). Let k(t) = -t. Give p*y(j) + k(j).
j + 1
Suppose 0*g - 18 = -3*g. Let z(a) = 5*a**3 + 6*a - 6. Let h(p) = -4*p**3 - 5*p + 5. Let k(c) = -c**2 - 6*c + 12. Let t be k(-7). Give g*h(d) + t*z(d).
d**3
Let j(r) = 2*r**3 - 3*r**2 - 3. Let w = -4 + 6. Let a(g) = 0*g**2 + w*g**3 + 2*g**2 - g**2 + 1 - 3*g**3. What is 6*a(b) + 2*j(b)?
-2*b**3
Let l(a) = -a**3 + 2*a**2 - 2*a + 1. Let s(c) = c**3 - c**2 + c. Let y be ((-20)/(2 - -3))/1. Give y*s(x) - 2*l(x).
-2*x**3 - 2
Let m(y) = -y + 28. Let o(l) = -29. Give -3*m(n) - 2*o(n).
3*n - 26
Let n(o) = 2*o**2 - 5*o - 3. Let j(d) = -8 - 10*d**2 - 2*d + 14*d**2 + d**2 - 12*d. Suppose q + 2*q - 3*a - 12 = 0, -3*a = -2*q + 9. What is q*j(u) - 8*n(u)?
-u**2 - 2*u
Let u(m) = m**2 + 1. Let t(z) be the third derivative of -z**5/60 - z**3/3 + 51*z**2. Calculate 2*t(h) + 5*u(h).
3*h**2 + 1
Let o be (-3 - (-1 + -1))*-7. Let q(f) = -3*f**2 + f. Let n(u) = 4*u**2 - u. Determine o*q(l) + 5*n(l).
-l**2 + 2*l
Let l(y) = y**2 - 5*y. Let u be l(5). Let n(x) = u*x**3 + x - x**3 + 3 - 4. Let h be -8*(-1 - (-1)/2). Let q(z) = 2*z**3 - 4*z + 4. What is h*n(m) + q(m)?
-2*m**3
Let i(m) = -5*m + 3. Let y(k) = -k**2 - 9*k - 4. Let h be y(-8). Suppose h*j + 3*v - 14 = 8, 3*v = 6. Let z(l) = 4*l - 2. Calculate j*z(d) + 3*i(d).
d + 1
Let b(x) = 2*x**2 + 2*x. Let u(l) = l**2 + 16*l**3 + 6*l**3 + l - 23*l**3. Calculate 2*b(n) - 4*u(n).
4*n**3
Let b(n) = -2*n + 3. Let o be b(3). Let t = -1 - o. Let f(v) = -v + 1. Let h(r) = -r**2 + 2*r. Calculate t*f(i) + h(i).
-i**2 + 2
Let m(b) = -5*b - 5 + 4 - 1. Let z(p) = -p**3 + 8*p**2 - p + 2. Let a be z(8). Let k be 3 - a/9*-3. Let d(v) = -v. Give k*m(u) - 4*d(u).
-u - 2
Let s(k) = -3*k**3 - 3*k**2 + 3. Suppose 2*u - 7*u = -25. Let b(w) = 6*w**3 + 5*w**2 - 5. Calculate u*s(g) + 3*b(g).
3*g**3
Let x(d) = -32*d**3 - 4. Let l(z) = 129*z**3 + 15. What is 4*l(s) + 15*x(s)?
36*s**3
Let s(n) = -2*n**2 - 4*n + 9. Let t(x) = 2*x**2 + 3*x - 10. Determine 2*s(y) + 3*t(y).
2*y**2 + y - 12
Suppose 0 = 57*h - 60*h + 3. Let m(n) = 8*n - 5. Let l(a) = -a + 1. What is h*m(k) + 6*l(k)?
2*k + 1
Let a(k) = k**2. Let u = 2 + 3. Suppose u*j = j - 8. Let t(g) = -2*g**3 + 3*g**2 - 1. Calculate j*a(c) + t(c).
-2*c**3 + c**2 - 1
Let s(o) = 4*o + 3*o - 2 - 2*o. Let w(x) = 6*x - 3. Let z = 10 - 5. What is z*s(q) - 4*w(q)?
q + 2
Let t(u) = -2. Let a(c) be the third derivative of -c**5/60 - c**4/24 + 3*c**2. Give -a(s) - t(s).
s**2 + s + 2
Let r(z) = 3*z. Let c(b) = 4*b + 0*b + 0*b. Let v(u) = 6*u - 4. Let f be v(3). Let k = f - 8. Calculate k*r(s) - 4*c(s).
2*s
Let q(z) = 3*z + 4. Let j(g) = g + 1. Let u be 12/(-3) - (-6 - -3). Determine u*q(d) + 2*j(d).
-d - 2
Let m(d) = -4*d**2 + 4*d**2 + 2 + 2*d - 2*d**2 + 4*d**3. Let y(b) = -5*b**3 + 3*b**2 - 3*b - 3. Determine 3*m(l) + 2*y(l).
2*l**3
Let c = 6 - 5. Let x be ((-1)/c)/((-5)/10). Let p(t) = t**3 - 3*t**2 + 2*t. Let o(f) = -2*f**2 + f. What is x*p(l) - 3*o(l)?
2*l**3 + l
Let b(f) = -7*f**2 + 4*f + 4. Let a(z) = -22*z**2 + 13*z + 13. Give 2*a(r) - 7*b(r).
5*r**2 - 2*r - 2
Let v(x) = -x**3 - 3*x**2 - 3. Let q be (-1 - -2)*28*3/6. Let d(p) = -4*p**3 - 14*p**2 - 14. Calculate q*v(z) - 3*d(z).
-2*z**3
Let z(b) = -4*b - 3. Let o(p) = -p - 1. Give -7*o(v) + 2*z(v).
-v + 1
Let j(b) = -6*b + 3 + 2*b**2 + 0*b**2 + 3*b. Let q(c) = -c**2 + c - 1. Let g be 4*(2 + -1) - 1. Determine g*q(w) + j(w).
-w**2
Suppose w + 12 = -s, -3*w + 1 = -5*s + 5. Let o = 11 + w. Let z(h) = -3*h**3 - 6*h + 2. Let x(r) = -2*r**3 - 5*r + 2. Give o*z(l) - 4*x(l).
-l**3 + 2*l - 2
Let d(k) be the second derivative of -5*k**3/6 - 2*k. Let y(j) = j. Let g(u) = 2*u**3 - 9*u**2 - 2. Let f be g(4). Give f*y(s) - 4*d(s).
2*s
Let o(m) = -49*m**2 - 26*m - 11. Let k(q) = -10*q**2 - 5*q - 2. Give -11*k(x) + 2*o(x).
12*x**2 + 3*x
Let q(k) = -5*k**3 + 6*k**2 + 6*k + 56. Let v(z) = -11*z**3 + 13*z**2 + 13*z + 113. What is 13*q(i) - 6*v(i)?
i**3 + 50
Let c(h) = 0 - 4 - 3 + 5. Let z(t) be the first derivative of -t**2/2 - t + 1. Suppose -7 = 5*x - 2*d - 25, -4*d = -4*x + 24. What is x*c(v) - 2*z(v)?
2*v - 2
Let y(r) = 11*r**2 + 17*r + 17. Suppose 5*o + 29 = -2*t, 3*t - o = 2*o - 54. Let k(i) = 21 + 4*i**2 + 6*i - 36 + 21. Calculate t*k(m) + 6*y(m).
-2*m**2
Let c(u) = -2*u**2 - 2. Let w(r) = -4*r**2 - r - 5. Give -5*c(a) + 2*w(a).
2*a**2 - 2*a
Let p(o) = 22*o + 2. Let m(y) = 9*y + 1. Determine 12*m(w) - 5*p(w).
-2*w + 2
Let g(f) = -4*f + 3. Let j(d) = 11 - 5*d - 10 + 4*d. Calculate -g(r) + 3*j(r).
r
Let m(k) = 7*k**2 + 2*k + 3. Let x(j) = j**2 + 2*j. Let q be x(-2). Let i be -1*(q - -1) + -4. Let a(h) = 3*h**2 + h + 1. What is i*a(w) + 2*m(w)?
-w**2 - w + 1
Let d(u) = -12*u + 7. Let q(i) = -i + 1. Give -d(x) + 6*q(x).
6*x - 1
Let n(k) = -3*k + 2. Let r(l) = -l. Determine n(u) + 6*r(u).
-9*u + 2
Let v(d) = 5*d**2 - 2*d + 4. Let p = 24 - 18. Let n(s) be the second derivative of 7*s**4/6 - s**3 + 11*s**2/2 - 2*s. Determine p*n(l) - 17*v(l).
-l**2 - 2*l - 2
Let d(x) = x**2 + 9*x + 5. Let i = 4 - 2. Let y(r) = -4*r - 7. Let g(t) = 4*t + 8. Let w(c) = 5*g(c) + 6*y(c). Calculate i*d(a) + 5*w(a).
2*a**2 - 2*a
Let n(k) = 3*k**3 + 11*k**2 - 3*k - 17. Let o(p) = p**3 + 4*p**2 - p - 6. Let l be (357/(-14))/(3/(-2)). Give l*o(x) - 6*n(x).
-x**3 + 2*x**2 + x
Let r(u) = -6*u + 7. Let k(o) = -6*o + 7. Let n(h) = -4*k(h) + 3*r(h). Let c(z) = 7*z - 8. What is -5*c(a) + 6*n(a)?
a - 2
Let x(s) = 83*s - 2. Let t(w) = -24070*w + 581. Calculate -2*t(q) - 581*x(q).
-83*q
Let t(w) = -5*w. Let x = 32 - 12. Suppose -x = 3*a + 2*a - 3*l, 0 = -2*l. Let u(s) = 6*s. Let m = -11 + 6. Determine a*u(y) + m*t(y).
y
Let k(h) = h**3 + h + 4. Suppose -d - 15 = 2*d. Suppose 23 = 5*r + 4*n, 10 = 2*r + 2*r - n. Suppose r*o + 1 + 2 = 0. Let i(g) = -1. Determine d*i(y) + o*k(y).
-y**3 - y + 1
Let x(n) = 4*n**2 - n - 2. Let q be ((-69)/(-9))/(1/3). Suppose w - q = -1. Suppose 0 = -5*u + w + 8. Let h(r) = -r**2. Give u*h(t) + x(t).
-2*t**2 - t - 2
Let g(h) = 13*h - 1. Let a(t) = t. Calculate -6*a(k) + g(k).
7*k - 1
Let g(v) = -36 + 18 - 10*v + 4*v - 6*v**2 + 21. Let p(f) = 7*f**2 + 7*f - 4. Give 6*g(l) + 5*p(l).
-l**2 - l - 2
Let y(a) = 2*a**2 - 3*a - 17. Let c(q) = -2*q**2 + 4*q + 18. What is 3*c(k) + 4*y(k)?
2*k**2 - 14
Let f(h) = 3*h - 1. Let b = 45 - 44. Let p(m) = m + 1. Let l(r) = -1. Let v(j) = -l(j) - p(j). Let t = -3 + 5. Calculate b*f(i) + t*v(i).
i - 1
Suppose 4*a - 3 = 5. Let z be a/6*30/2. Suppose -2*u - u = -5*d - 19, z*u - 7 = -4*d. Let q(l) = l + 7. Let p(h) = -3. What is d*q(b) - 5*p(b)?
-2*b + 1
Let g(j) = -2*j - 3*j + 6*j. Let f(q) = 2*q**2 - 4*q. What is f(x) + 4*g(x)?
2*x**2
Let a(n) = n. Let r(m) = 2*m - 16. What is -3*a(g) + r(g)?
-g - 16
Let d be 2/4*(-1 + -13). Let k(n) = -5*n**2 + n - 5. Let s(w) = -w**3 - 18*w**2 + w + 12. Let a be s(-18). Let x(b) = 4*b**2 - b + 4. What is a*k(z) + d*x(z)?
2*z**2 + z + 2
Let f(i) = 2*i - 5. Let h(y) = -y + 1. Give -f(b) - 3*h(b).
b + 2
Let r(b) = -5 - 17*b**2 + 41*b**2 - 25*b**2 + 5*b - 6*b**3. Let m(q) = 7*q**3 + q**2 - 6*q + 6. Let h be (-2)/3 + (-20)/(-3). Give h*r(y) + 5*m(y).
-y**3 - y**2
Let f(u) = -6*u + 42. Let j(z) = 1. What is 2*f(d) - 84*j(d)?
-12*d
Let y(c) = -2*c + 4. Let j(n) be the second derivative of n**3/6 - 3*n**2/2 - n. Let z = -24 - -28. What is z*j(u) + 3*y(u)?
-2*u
Suppose -5*o - 169 = 2*g, 0 = 2*o - 6*o + 3*g - 149. Let y(q) = -9*q. Let x(t) = 80*t. Determine o*y(a) - 4*x(a).
-5*a
Let f be ((-6)/(-15))/((-2)/20). Suppose 4*a - 5 = -2*q + 25, 0 = -5*q + 5*a. Let k(y) = -6*y**2 - 3*y. Let c(d) = -7*d**2 - 4*d. Calculate f*c(x) + q*k(x).
-2*x**2 + x
Let q(x) = 65*x**3 + 10*x**2 - 10*x - 10. Let z(f) = 22*f**3 + 3*f**2 - 3*f - 3. What is -3*q(s) + 10*z(s)?
25*s**3
Let i(m) = 12*m**3 + 5*m**2 - 5*m - 5. Let o(w) = 6*w**3 + 3*w**2 - 3*w - 3. Determine 3*i(r) - 5*o(r).
6*r**3
Suppose -5*h - 4*m = -9, 6*m - 10*m - 31 = -3*h. Let u(l) = -7 + 5*l + 2*l**2 - 5*l. Let w(a) = a**2 - 3. Calculate h*w(v) - 2*u(v).
v**2 - 1
Let f(j) = -j**3 + 3*j**2 + j - 8. Let i(n) = n**3 - 4*n**2 - n + 9. What is 4*f(p) + 3*i(p)?
-p**3 + p - 5
Let g(d) = 2*d**2 - 8*d - 2. Let s be (2/((-4)/(-3)))/((-2)/(-8)). Let w(z) = 2*z**2 - 9*z - 2. Calculate s*w(n) - 7*g(n).
-2*n**2 + 2*n + 2
Let s(y) = y**3 + 5*y**2 - 5*y + 5. Let o(j) = -j**2 +
|
{
"pile_set_name": "DM Mathematics"
}
|
ich is the closest to -3? (a) s (b) 0.5 (c) 0
a
Let l = -19.5 - -20. Suppose 6 + 4 = 5*t. Let c be ((-3)/(-6))/(t*-1). What is the closest to -1 in l, c, -1?
-1
Let m = -1.2 - -0.2. Let q be 88/(-10) - (-3)/(-15). Let t = q + 12. Which is the nearest to -1? (a) t (b) m (c) -2
b
Let j be ((-15)/(-6))/(2/(-4)). Let q be ((-1)/5)/(j + 6). Which is the closest to -0.1? (a) -2 (b) 0.1 (c) q
c
Let m = -5.8 - -4. Let h = 2 + m. What is the closest to -1 in h, 2, -1/4?
-1/4
Let c = 15 + -2. Let r = -8 + c. What is the closest to -1/4 in r, 6, 0.2?
0.2
Let b = 25 - 14. Let u = -12 + b. What is the nearest to 1 in 2, 2/3, u?
2/3
Let t = 21 - 30. What is the nearest to 0 in 2/3, t, 0.4?
0.4
Suppose 3*n + n = -4. Let d be (-16)/(-5) + n/5. Let h = -7 - -11. What is the nearest to 1 in 0, h, d?
0
Let m = 1.4 - 0.9. Let d = m + -0.6. Which is the closest to 0.03? (a) 0.3 (b) -2/3 (c) d
c
Let s = 2.93 - -0.77. Let l = 0.7 - s. Let f = 2.2 + -2. What is the closest to -1 in f, -2, l?
-2
Let q = -255/4 - -64. Let d = -1/141 - -709/564. What is the closest to 1/5 in q, d, -2?
q
Let z = -16 + 10. Let l be 2/z*45/(-20). What is the nearest to 1 in 3/7, -0.3, l?
l
Suppose -5*o + o - 8 = 0. Let k be (-5)/4*o/(-10). What is the closest to k in -5, 3, 2?
2
Let v = -530 - -482.9. Let i = v - -43. Let o = i - -4. What is the nearest to o in 1/5, 2, -2/9?
-2/9
Let p = 0.46 - 2.46. What is the closest to p in -0.4, 0.3, 2?
-0.4
Let x be (-2)/(-3)*(-45)/30. Let g be 30/26 - (x - -2). What is the closest to 2 in g, -5, 3?
3
Let u = -2 + 1. Let z = -12/130117 + 1462070/8197371. Let p = -4/91 - z. Which is the closest to u? (a) -0.2 (b) p (c) 2
b
Let d = 0.08 + -5.08. Let j = d - -6. What is the nearest to -0.1 in 3, 0.4, j?
0.4
Let w be 1 - 0 - 50/75. Let n = -6 + 3. What is the nearest to 1 in -5, w, n?
w
Let b be ((-12)/(-45))/((-48)/(-40)). What is the closest to 5 in b, -2/5, 1/5?
b
Let d be 2/(-4)*(0 + 6). Let c be 3/(-6)*2/3. What is the nearest to 2/7 in c, -4, d?
c
Let d be 1/1 + 0/(-8). What is the closest to d in 0.1, 3, -0.1?
0.1
Let s = 32 + -32.3. Which is the nearest to -19? (a) -5 (b) s (c) 0.2
a
Let g = 2 + -4. Let h = g - 4. Let w = h + 5. Which is the nearest to -2/3? (a) w (b) 2 (c) 6/7
a
Let w be 2*-3*(-1)/57. Let c = 61 - 57.1. Let i = -4 + c. What is the closest to i in w, 0, 5?
0
Let m = 10.162 - -0.138. Let u = 10 - m. What is the nearest to -2 in 0, 3, u?
u
Let v = -9386 - -37313/4. Let h = 84 - 26. Let y = h + v. Which is the closest to 0? (a) y (b) 0 (c) -1/5
b
Let t = -374 + 373.068. Let m = -0.058 + t. Let o = m - 0.01. Which is the nearest to o? (a) -0.5 (b) 4 (c) 0.5
a
Let y be (8/16)/(-1*(-2)/(-16)). Let u = -51 - -46.6. Let l = 4 + u. What is the closest to y in l, 1, 0.5?
l
Let m = 79 + -76. Which is the nearest to -0.1? (a) -3 (b) m (c) -5
a
Suppose 4*h + 28 = -4*c, 3*h - 2*c - 1 = -22. Let d = h + 17/2. What is the closest to -1 in 3/5, 5, d?
3/5
Let q = 8 + -8.1. Let d = 0.1 - -0.1. Let v = d + 0.2. Which is the closest to q? (a) -1/6 (b) v (c) 2/11
a
Let z = -1 - 0. Let p = -13 - -12.96. Let x = p + 0.04. What is the closest to x in -2, 4, z?
z
Let y = 17 - 33. Let g be (6/(-10))/(y/10). Which is the nearest to 1? (a) 2/7 (b) g (c) 4
b
Suppose 0 = 16*n - 19*n. Let t(l) = l - 7. Let o be t(12). Which is the closest to 0.1? (a) n (b) 4 (c) o
a
Suppose 3*j = 3*s + 12, s - 10 = 6*s - 3*j. Let q = 1.9 - -0.1. Let z = q - -1. What is the nearest to s in -4, z, 4?
z
Let c = -4.3 - -4. Let i = -6.2 - -6. What is the closest to i in -4, c, 0.1?
c
Let m = 1 - 4. Let p be (3 - (-10)/m)*-3. What is the closest to 0.1 in 3/5, p, 0.3?
0.3
Let o = -6.1 + 6. What is the closest to -1/6 in -0.2, -2, o?
-0.2
Let g(u) = u**3 - 21*u**2 - 23*u + 31. Let k be g(22). What is the nearest to k in 2/3, -1/4, -0.1?
2/3
Let x be -1 - (-25)/15 - 40/42. Which is the nearest to x? (a) -5 (b) -2/7 (c) -1/6
b
Let g = -2.018 - -0.018. What is the nearest to -1 in 0.1, -0.2, g?
-0.2
Let s = -5 - -8. Let a = 0.86 - 1. Let n = a + 0.14. What is the closest to n in 0.1, 4, s?
0.1
Let i = 4.8 + 2.4. Let s = -7 + i. Which is the closest to s? (a) -1/4 (b) 0.3 (c) 1/7
c
Let i(s) = -2*s**3 - 4*s**2 - 2*s. Let q be i(-2). Suppose z = 0, 0 = -4*f - 3*z - 0 + q. What is the nearest to f in 0.1, -0.1, 1/6?
1/6
Let x = -0.2 - -2.2. What is the nearest to -0.1 in -4, 0, x?
0
Let d = 0.3 - 17.3. Let x = d + 17.5. Let f be (-9)/84 + (-2)/(-8). What is the nearest to 0 in f, -0.2, x?
f
Let o be 6/21 - (0 - 0). Let p = -0.312 - 0.188. Which is the nearest to 0? (a) o (b) p (c) 3
a
Let s = -0.1 - 1.9. Let m = 2 - s. What is the closest to 2/7 in -3/2, -1, m?
-1
Suppose 2*w = 15 + 9. Let u be (2/24)/(4/w). Which is the closest to u? (a) 5 (b) -5/3 (c) -1
c
Let s = -2.7 - 0.3. What is the closest to -2 in -1/4, -0.2, s?
s
Suppose 4*x + 2*u - 14 = 0, 2*u = 4*x - 14 - 4. Which is the nearest to -2/3? (a) 1/5 (b) -2 (c) x
a
Let o = 3 + -7. Let m = 9/2 + -39/10. Suppose -2*y - 3*t = 2*t - 20, 3*y + 4 = t. Which is the nearest to y? (a) m (b) -5 (c) o
a
Suppose w = -0*w. Let v = -5.06 - -0.06. Which is the closest to w? (a) v (b) 1/2 (c) 4
b
Suppose 3*p = -4*x + 9, 2*x = 4*p - 3*p - 3. Let g be x*(1 - -1)/(-4). Suppose 4*s = -k + 11, -5*k - 2*s - 17 = -0*s. What is the nearest to -0.1 in g, k, 2?
g
Let y = 2 + -1. Let z be 3/2 - (-110)/(-28). Let u = -65/21 - z. What is the closest to y in u, 2/5, 1?
1
Let n = 0.07 - -0.12. Let c = -0.01 - n. What is the closest to 2/7 in -0.3, c, 1/3?
1/3
Suppose 0 = -n + 4 - 12. Let w be n + (2 + 0)/1. Let d be (-4)/w - 8/(-6). Which is the closest to 1? (a) d (b) 0.3 (c) -0.1
b
Let s = -4.97 - 0.03. Let u = 5.5 + s. Let j = 0.5 - u. Which is the closest to j? (a) -5 (b) 1 (c) -2
b
Let s = 0.1 - -0.38. Let a = 0.32 - 0.3. Let j = a + s. What is the nearest to -1 in 0.1, j, -0.5?
-0.5
Let o = 11 - 10.5. Let m = 0.5 - o. Which is the closest to m? (a) 0 (b) -0.5 (c) 4
a
Let y be ((-1)/(-21))/(9/(-54)). What is the nearest to y in -10, -4, -3?
-3
Let j = 53.2 + -53. What is the nearest to j in -3/8, 2, 4?
-3/8
Let z = -11 - -10.5. Let v be 2 - (-19)/(-9)*1. What is the closest to 0 in v, 4, z?
v
Let w = 9.8 - 11.8. What is the nearest to w in -1, -9/4, 0.1?
-9/4
Let q be (0 + 3)*(-4)/12. Suppose 0 = -0*r - 2*r + 4. Suppose 3 = -k - 4*l, 3*k + 4*l = k + 2. What is the closest to q in r, k, 4?
r
Let w = 0.056 - 0.356. Which is the nearest to 1/7? (a) -0.4 (b) -3 (c) w
c
Let z = -11 + 16. Let v = 7 - z. Let b be 0 + 0 - 4/(-14). What is the nearest to -0.2 in v, b, 0.5?
b
Let j = -179 + 891/5. What is the closest to 2/3 in j, 0, -4?
0
Let m = 7 - 6. Let a be (16/28)/(-2)*m. What is the nearest to 3 in 4, a, -4?
4
Let m = 0.65 - 0.75. Which is the nearest to m? (a) -1/2 (b) 1/3 (c) 0.7
a
Let f be (-10)/(-15) - (2 - 1). Which is the nearest to 0? (a) -1/5 (b) f (c) 5/3
a
Let n = -4/41 - -49/82. Which is the closest to 2/7? (a) 2/51 (b) n (c) -1/4
b
Suppose 0 = -4*p + 4*t - 16, -2*p - 2*t + 0 + 8 = 0. Let y = 3 + p. Let i = 1.1 + -1. What is the closest to 1 in i, -0.4, y?
i
Let w = -0.48 + 0.68. What is the nearest to -1 in -1/4, 2, w?
-1/4
Let d be (2 + -1)*(-5 + 17). Suppose 2*i + d = -i. Which is the nearest to 1? (a) 2 (b) i (c) 4
a
Suppose -4 = -3*p - 1. Which is the closest to p? (a) 0.3 (b) -3 (c) 4/3
c
Let p be ((-2)/6)/((-12)/9). Which is the closest to p? (a) 0.1 (b) -2/5 (c) -3
a
Let i(o) = 5*o - 2. Let p be i(2). Let d be p/(-4) + (-16)/(-10). Which is the nearest to 1/4? (a) 3 (b) 0.2 (c) d
b
Let n = -5 + 4.9. Let f = -4 + 8. What is the nearest to n in f, 2, 1?
1
Let j = 35 - 34. Let x(w) = w**2 - 3*w + 4. Let r be x(3). What is the nearest to 0 in r, -5, j?
j
Let s = -17 - -50/3. Let g = -0.2 + 0.2. Which is the nearest to -0.1? (a) s (b) -0.4 (c) g
c
Let g = -2.02 + 0.02. Let f = -3.3 + 1.3. Let i = g - f. Which is the closest to i? (a) -1/3 (b) -0.5 (c) -1
a
Let d be (-2)/(-6) + 140/(-42). What is the closest to -3 in -2/5, -2, d?
d
Let i be 39/(-12) - (-2)/8. Which is the nearest to -2? (a) 0.3 (b) -4 (c) i
c
Let f = 4.8 - 4. Let m = 0.07 - -1.13. Let s = m - f. Which is the closest to 2/3? (a) -3 (b) 3 (c) s
c
Let x(i) = i**2 - i + 1. Let v
|
{
"pile_set_name": "DM Mathematics"
}
|
*y**2 + 341522*y - 3415323. Calculate b(10).
97
Let f(p) = -2*p**3 - 581*p**2 - 33939*p + 5. Calculate f(-81).
5
Let i(v) = 62*v**2 + 15915*v - 4898. Give i(-257).
-15
Let f(y) = -3*y**3 - 30*y**2 + 266*y + 62. Calculate f(7).
-575
Let h(s) = 2*s**3 + 1443*s**2 + 717*s - 2902. Calculate h(-721).
-18
Let u(j) = -44976*j - 135187. Determine u(-3).
-259
Let d(j) = 144441*j - 577581. Calculate d(4).
183
Let m(o) = -1637*o**3 + 22921*o**2 - 26*o - 153. Determine m(14).
71
Let v(f) = -19312*f - 12. What is v(0)?
-12
Let a(b) = b**3 - 72*b**2 - 719*b + 13108. Calculate a(79).
-6
Let z(n) = -235*n - 3100. Calculate z(-10).
-750
Let s(l) = -438*l**2 + 3970*l - 105. Determine s(9).
147
Let j(a) = -3*a**3 + 36*a**2 + 84*a + 45. What is j(14)?
45
Let d(f) = 3510*f**2 + 17561*f + 54. Determine d(-5).
-1
Let s(v) = -v**3 - 21*v**2 - 22*v + 809. Calculate s(-17).
27
Let g(r) = -r**2 + 455*r + 231577. Determine g(-305).
-223
Let b(n) = 750600*n + 6755389. Calculate b(-9).
-11
Let i(l) = 12466*l**2 - 62289*l - 211. Give i(5).
-6
Let q(g) = -g**2 - 1647*g + 21. Determine q(0).
21
Let j(h) = -17562*h + 35060. Calculate j(2).
-64
Let v(f) = 9*f**3 + 168*f**2 + 556*f - 4. What is v(-4)?
-116
Let i(f) = f**2 - 17344*f - 121345. Give i(-7).
112
Let q(w) = -7*w**2 - 940*w - 5633. Calculate q(-128).
-1
Let r(a) = -7564*a + 48654. Calculate r(6).
3270
Let p(v) = -v**2 - 6873*v - 61814. What is p(-9)?
-38
Let z(c) = 62*c**3 - 11*c**2 + 17*c - 3. Determine z(2).
483
Let u(g) = g**2 - 600*g - 76422. Calculate u(-108).
42
Let s(a) = -47*a**3 - 417*a**2 + 59*a + 40. Give s(-9).
-5
Let p(q) = 123*q**2 - 1326*q - 121. Determine p(11).
176
Let i(x) = x**3 - x**2 - 46*x + 26. What is i(-9)?
-370
Let y(o) = -36195*o - 12306316. Determine y(-340).
-16
Let u(g) = -33006*g**2 + 330060*g - 42. What is u(10)?
-42
Let v(z) = -z**3 + 9*z**2 - 2942*z - 5912. Calculate v(-2).
16
Let o(n) = -2*n**3 + 53*n**2 + 35*n - 198. Calculate o(27).
18
Let o(r) = -48*r**2 + 9*r + 2244. Determine o(-7).
-171
Let n(a) = 244*a + 272. What is n(2)?
760
Let w(d) = 3*d**2 + 63*d - 135. What is w(-23)?
3
Let y(r) = -r**2 - 71*r + 5076. What is y(42)?
330
Let p(h) = h**3 - 170*h**2 + 842*h + 540. What is p(165)?
3345
Let r(w) = 3*w**2 + 1049*w + 13608. What is r(-337)?
802
Let t(o) = 8*o**2 + 233*o - 15548. Give t(-61).
7
Let y(t) = t**3 - 43*t**2 + 57*t + 225. What is y(43)?
2676
Let c(p) = -14*p**2 + 41*p + 3829. Calculate c(18).
31
Let z(n) = -58*n**2 - 419*n - 854. Give z(-4).
-106
Let v(h) = 685267*h + 3426335. What is v(-5)?
0
Let g(b) = b**2 + 503*b - 26509. Calculate g(48).
-61
Let v(n) = 3*n**3 + 115*n**2 - 369*n - 6756. What is v(-40)?
4
Let o(u) = 23631*u + 23620. Calculate o(-1).
-11
Let n(w) = 10*w**2 + 8660*w + 34488. Calculate n(-862).
8
Let g(i) = -509634*i - 1019264. What is g(-2)?
4
Let r(o) = -2*o**2 + 50*o - 51. Give r(25).
-51
Let y(r) = 2*r**2 - 403*r + 11337. Give y(34).
-53
Let h(n) = n**3 - 33*n**2 - 43096*n + 216176. Calculate h(5).
-4
Let y(g) = 28*g**2 + 168*g - 871. Determine y(-11).
669
Let o(w) = w**3 - 26*w**2 + 17*w + 745. Determine o(24).
1
Let z(u) = -2*u**3 - 20*u**2 + u - 518. Determine z(-11).
-287
Let c(s) = -353324*s - 105. Give c(0).
-105
Let g(f) = 5*f**3 + 205*f**2 + 2*f - 159. Determine g(-41).
-241
Let r(g) = -298392*g + 895159. Give r(3).
-17
Let k(o) = 215*o - 18792. Give k(87).
-87
Let k(o) = -129*o**2 - 1380*o + 16. Determine k(-11).
-413
Let t(q) = q**3 - 34*q**2 + 1179*q - 33669. What is t(31)?
-3
Let h(n) = -n**3 + 129*n**2 - 1331*n + 3903. Calculate h(118).
9
Let s(d) = 214*d**3 + 675*d**2 - 38*d - 2. What is s(-4)?
-2746
Let u(b) = 6*b**2 - 1072*b + 15316. Give u(163).
-6
Let w(q) = -q**2 - 2645*q + 31889. Determine w(12).
5
Let h(v) = -8*v**3 + 293*v**2 + 388*v + 1146. Determine h(38).
6
Let v(p) = -183*p - 15703. Give v(-85).
-148
Let f(d) = -8*d**2 - 186*d - 626. Give f(-4).
-10
Let q(d) = -21366*d - 640978. Determine q(-30).
2
Let c(y) = -y**3 + 132*y**2 - 559*y - 9695. Calculate c(127).
-43
Let y(z) = 17724*z - 265864. Determine y(15).
-4
Let s(o) = -42257*o - 3000253. Calculate s(-71).
-6
Let l(y) = 97*y**2 - 1634*y - 211. Calculate l(17).
44
Let x(i) = 6*i**2 - 163*i - 17442. What is x(-42)?
-12
Let x(d) = d**2 + 408*d - 41920. What is x(85)?
-15
Let r(y) = -y**3 - 163*y**2 + 2152*y - 23929. Give r(-176).
7
Let l(p) = -4*p**2 + 1003*p + 2751. Calculate l(253).
474
Let c(a) = -a**3 - 250*a**2 + 109*a - 35619. Calculate c(-251).
23
Let c(a) = 4*a**2 + 3143*a + 89960. Calculate c(-756).
-4
Let m(x) = -316*x**2 - 5409*x - 596. Determine m(-17).
33
Let x(f) = 60491*f - 1391286. What is x(23)?
7
Let g(r) = 3708*r + 122406. Calculate g(-33).
42
Let f(z) = 2*z**3 + 178*z**2 + 792*z + 9511. Calculate f(-85).
-9
Let x(q) = q**3 + 6*q**2 - 525*q + 3273. Give x(9).
-237
Let y(r) = 459*r**2 - 130*r - 132. Calculate y(-1).
457
Let t(b) = -b**3 - b**2 + 582*b + 225. Give t(24).
-207
Let h(r) = 5320*r - 10574. Determine h(2).
66
Let g(k) = -k**3 + 38*k**2 - 40*k - 408. Give g(36).
744
Let x(c) = 2418*c - 1915056. Calculate x(792).
0
Let u(r) = 6277*r - 213429. What is u(34)?
-11
Let b(f) = 2*f**2 - 92*f - 6. Calculate b(59).
1528
Let q(s) = -3*s**3 - 44*s**2 + 612*s - 2. What is q(10)?
-1282
Let c(w) = 29200*w + 350277. Determine c(-12).
-123
Let t(s) = -452645*s - 1810610. Determine t(-4).
-30
Let d(q) = 1552*q - 18092. What is d(12)?
532
Let y(o) = 302292*o + 3325208. Give y(-11).
-4
Let p(w) = w**2 - 296*w + 19565. Determine p(100).
-35
Let l(j) = -6075*j - 163941. Calculate l(-27).
84
Let c(o) = 5911*o - 1335866. What is c(226)?
20
Let y(w) = 24*w**3 - 5593*w**2 + 231*w + 123. Determine y(233).
-343
Let n(x) = -2623003*x + 62952067. Determine n(24).
-5
Let a(d) = 2*d**3 + 19*d**2 - 2924*d - 26259. What is a(-9)?
138
Let m(l) = 8*l**3 + 26*l**2 - 196*l + 300. What is m(3)?
162
Let d(v) = -v**3 - 28*v**2 + 1079*v + 30442. What is d(-29)?
-8
Let u(h) = 65140*h - 456462. Give u(7).
-482
Let p(a) = -13*a**2 + 9743*a - 33567. Determine p(746).
3
Let h(w) = w**3 + 458*w**2 - 52*w + 186815. Give h(-459).
2
Let z(l) = 20*l**2 - 1238*l. Determine z(62).
124
Let s(y) = 3344*y - 9885. Determine s(3).
147
Let y(a) = 2*a**2 - 833*a + 30118. Calculate y(40).
-2
Let g(m) = -349*m**2 - 17452*m - 81. Give g(-50).
19
Let h(d) = 12*d**2 + 117*d + 1645. Give h(-17).
3124
Let b(g) = g**3 - 1015*g**2 + 11563*g - 5719. What is b(11)?
-10
Let y(a) = -7*a**3 + 62*a**2 + 9*a + 81. Determine y(9).
81
Let z(c) = 24539*c**2 + 49083*c + 22. What is z(-2)?
12
Let o(s) = -s**3 + 1534*s**2 - 79930*s + 530. Give o(54).
-10
Let v(y) = 178*y**2 + 1849*y - 84. Give v(-10).
-774
Let s(p) = 258*p**3 + 5*p**2 - 6*p - 10. Give s(2).
2062
Let v(z) = 250*z + 26793. What is v(-108)?
-207
Let j(s) = 5*s**2 + 190*s + 129. Determine j(-40).
529
Let i(x) = -x**3 - 102*x**2 - 98*x + 385. Calculate i(-101).
82
Let u(d) = -3830*d**2 + 22570*d + 2458. What is u(6)?
-2
Let l(k) = -8*k**2 - 16481*k + 49438. Determine l(3).
-77
Let l(m) = -m**3 + 13*m**2 + 20*m - 1070. Determine l(-8).
114
Let i(q) = -47*q**2 - 699*q - 645. What is i(-1)?
7
Let m(q) = q**2 - 589465*q - 1768406. Give m(-3).
-2
Let t(q) = -2*q**3 + 40*q**2 + 42*q - 671. Determine t(4).
9
Let y(g) = -g**3 - 17*g**2 + 640962*g + 9614878. Calculate y(-15).
-2
Let m(q) = -q**3 - 42*q**2 - 151*q - 441. Determine m(-39).
885
Let n(a) = 4*a**2 - 1557*a - 389168. Calculate n(-173).
-91
Let k(l) = -5*l**3 - 60*l**2 - 20*l + 84. Calculate k(-11).
-301
Let n(d) = -d**3 + 267*d**2 - 2051*d - 5402. Determine n(259).
37
Let d(t) = -3*t**2 + 3*t + 446. What is d(22)?
-940
Let z(u) = -2*u**2 - 252*u - 2309. What is z(-117)?
-203
Let h(u) = 68*u**3 + 950*u**2 - 1238*u - 16950. Calculate h(-14).
-10
Let i(w) = -w**2 + 1122*w - 66703. Determine i(63).
14
Let d(s) = -3623*s - 279261. What is d(-77)?
-290
Let m(v) = 6*v**2 - 247*v + 1823. What is m(7)?
388
Let y(z) = 219*z + 85664. What is y(-390)?
254
Let j(w) = 11*w**3 + 72*w**2 + 192*w - 31. Give j(-3).
-256
Let z(m) = 11047*m - 2540818. Calculate z(230).
-8
Let n(p) = 2*p**3 + 645*p**2 + 21135*p + 303. Give n(-37).
7
Let a(z) = 14*z**2 + 3351*z + 4556. Determine a(-238).
34
Let m(k) = 46322*k + 29692391. Calculate m(-641).
-11
Let y(q) = 10994*q - 901513. What is y(82)?
-5
Let w(o) = -4*o**3 + 3032*o**2 + 2952*
|
{
"pile_set_name": "DM Mathematics"
}
|
y(18)?
False
Let y(l) = -l**2 + 22*l - 12. Does 35 divide y(9)?
True
Let y(t) = -2*t**3 - 9*t**2 + 8*t - 2. Let a be y(-7). Let f = a + -103. Does 12 divide f?
True
Let s = -91 + 137. Suppose 0 = -k + s - 18. Does 17 divide k?
False
Let q = -32 - -33. Suppose l - q - 4 = 0. Does 3 divide l?
False
Suppose -15*o = 23 - 1658. Does 14 divide o?
False
Suppose 29 + 15 = -4*s. Let n(z) be the third derivative of -z**6/120 - z**5/5 - z**4/2 + 13*z**3/6 - 36*z**2 + 2*z. Is n(s) a multiple of 14?
False
Let r(y) be the second derivative of -y**5/20 - y**4/6 + 69*y**2 - 3*y. Let h be r(0). Suppose -4*j = -42 - h. Is 16 a factor of j?
False
Let v = 415 + -307. Is v a multiple of 9?
True
Let y be (-3 - 8/(-4))*102/(-2). Suppose -3*v + y = -33. Is 14 a factor of v?
True
Is 1*-4 - (-21)/7 - -20 a multiple of 19?
True
Suppose 5*k = 2*k - 2*f + 2033, 0 = k - 3*f - 696. Let x = k + -369. Suppose -x = -4*o - 0*o. Is 13 a factor of o?
True
Suppose 3*n = 43 - 7. Let x(l) = 21*l - 1. Let j(f) = 52*f - 2. Let v(g) = n*x(g) - 5*j(g). Is v(-7) a multiple of 27?
True
Let h(l) be the first derivative of -l**3/3 + 9*l**2/2 + 2*l + 51. Does 16 divide h(7)?
True
Let y = 1 + -2. Let m(q) = -6*q - 2. Let t be m(y). Suppose -4*v - 5*z = -153, -v + 219 = t*v - 3*z. Is 9 a factor of v?
False
Let q(t) = 2*t**2 + 3*t - 8. Suppose -a = 8*a - 54. Is 13 a factor of q(a)?
False
Suppose -r - 2*m + 1251 = 0, -7*m - 3780 = -3*r - 4*m. Is r a multiple of 98?
False
Let z(l) = 417*l + 2 + 0 + 10*l**2 - 415*l. Does 6 divide z(-3)?
False
Let q(y) = -49*y + 1. Let c be 98/8 + (-6)/24. Let d be 4 + -1 - c/3. Is 18 a factor of q(d)?
False
Let a be ((-6)/(-5))/(14/(-35)). Let u = a - 0. Does 3 divide (-1)/u - (-186)/9?
True
Let c(w) = 3*w**2 + 2*w - 1. Let d(r) = -12 + 19*r - 18*r + 3. Let y be d(7). Is c(y) a multiple of 7?
True
Suppose h - 451 = -15*l + 14*l, h + 1799 = 4*l. Does 10 divide l?
True
Let d = -23 - -16. Let y be 2/(-7)*98/d. Does 6 divide 4*(-3)/((-6)/y)?
False
Suppose 3*o - 1568 = -4*x, -5*o = -x + 485 - 3129. Is 16 a factor of o?
True
Let t = 558 - 270. Is t a multiple of 22?
False
Let b = -3205 + 8389. Does 54 divide b?
True
Let w be (-240)/(-2) + -4 + 4. Suppose 5*g + 4*t = 236, 4*g - 3*t = g + w. Is 22 a factor of g?
True
Let u(z) be the second derivative of z**6/180 + z**5/40 - z**4/8 + z**3/2 + 2*z. Let b(t) be the second derivative of u(t). Is b(-3) a multiple of 6?
True
Let q be -13 + (-1)/(2/(-6)). Let s = 20 + q. Is 6 a factor of (s + -12)*58/(-4)?
False
Suppose -3*b - 3*g + 5346 = 0, -2*b + 7088 = 2*b - 4*g. Is b a multiple of 16?
False
Suppose -30*w + 31*w = 481. Does 37 divide w?
True
Let t = 79 + -101. Suppose -2*p + 3*p = 14. Let r = p - t. Is 30 a factor of r?
False
Let g = -144 + 157. Let z(a) = a**3 - 6*a**2. Let w be z(4). Let r = g - w. Is r a multiple of 15?
True
Suppose 3*y - 68 = -l - l, 5*y + l - 111 = 0. Is 11 a factor of y?
True
Let p = -22 - -27. Suppose p*t = 4*u - 446, -u - 3*t = -5*u + 450. Is u a multiple of 15?
False
Let o be 3180/55 + (-6)/(-33). Suppose -o*u = -61*u + 207. Is u a multiple of 11?
False
Suppose 0 = -12*v + 31*v - 16416. Does 16 divide v?
True
Let h(a) = -22*a - 231. Is 16 a factor of h(-28)?
False
Let t be -2 - 1098/(-6 + 5). Suppose -168 = 8*a - t. Is a a multiple of 11?
False
Let u(v) = v + 1. Let t be u(-5). Let h = t - -14. Let o = 14 - h. Does 4 divide o?
True
Suppose -2*w - w + 174 = -3*v, 4 = -v. Let n = 47 - 74. Let t = n + w. Is 9 a factor of t?
True
Let l = 1 - -2. Suppose -192 = -2*z - 3*m, z + l*m + 78 = 2*z. Is z a multiple of 30?
True
Let b = -132 - -189. Let d = b + -48. Is 3 a factor of d?
True
Let n be 212/26 - 10/65. Suppose -4*z - 4*k = -n*z, 0 = 5*z + 3*k. Suppose z = 2*o + 2 + 4, -2*w - 2*o = -118. Is 31 a factor of w?
True
Suppose i - 15 = -3. Does 6 divide (0 - i)/((-11)/33)?
True
Is (-90)/(-12)*-161*-2 a multiple of 5?
True
Let g be (-3321)/(-45) - (-2)/10. Suppose g = m + 5*j, -40 = 2*m + j - 215. Suppose 3*t - 269 = -m. Is t a multiple of 30?
True
Suppose 99 = 2*k + k. Let u = 155 + k. Suppose 0 = -2*f - 2*f - 2*z + u, -155 = -3*f - 5*z. Is 21 a factor of f?
False
Let w(y) = 4*y**2 + y - 2. Let v = -13 + 16. Is w(v) a multiple of 13?
False
Let t(g) = 33*g + 20. Let v be t(-6). Let d = v + 333. Does 18 divide d?
False
Let g(o) = -48*o + 1. Let y(h) = h - 6. Let q be y(5). Let t be g(q). Let d = t + -13. Is 9 a factor of d?
True
Suppose 5*g + 15*d - 295 = 10*d, -2*d = 4*g - 246. Is 18 a factor of g?
False
Let z(l) = 313*l**2 + 10*l + 9. Does 8 divide z(-1)?
True
Let g = -25 - -24. Let b = 19 + g. Let w = b + -10. Does 2 divide w?
True
Let q be ((-706)/7)/((-12)/84). Let t = q - 484. Does 37 divide t?
True
Let f = 3 - -2. Suppose -5*q + 35 = -f. Is q a multiple of 3?
False
Suppose 7*b + b = 4688. Is b a multiple of 23?
False
Is 31 a factor of 95190/174 + 12/(-174)?
False
Let g(j) = j**3 + 10*j**2 - 13*j - 18. Let r be g(-11). Suppose 5*x - r*q = 28 + 220, -223 = -4*x - 5*q. Does 3 divide x?
False
Let t = 53 + -57. Is (t + 3 - -2)*79 a multiple of 11?
False
Let b = 134 + -92. Let y = 1 + b. Does 30 divide y?
False
Suppose 0 = 2*y + w - 648 - 11, -2*w - 971 = -3*y. Is 33 a factor of y?
False
Suppose 4*t = 0, 2*t = 5*c + 3*t - 2240. Is c a multiple of 28?
True
Let g(v) be the second derivative of v**4/6 + 5*v**3/6 + 5*v**2/2 + 11*v. Let r be g(-3). Suppose -r*b + 260 = -3*b. Does 26 divide b?
True
Let q(i) = -11*i - 17. Let w be q(-7). Does 12 divide (122/(-5))/((-24)/w)?
False
Let o(k) = k**2 - 2*k - 5*k - 2*k**2 + 2*k**2 - 17. Is 10 a factor of o(-6)?
False
Is 21 a factor of 28*-11*252/(-72)?
False
Let j be (201 + 1)/(-2) + -2. Let l be 8/(-5)*(j + 18). Suppose -3*m - 84 = -3*g, m - l = -4*g - m. Is g a multiple of 16?
True
Let z(v) be the second derivative of v**4/12 - v**3/6 - 3*v**2/2 + v. Is 22 a factor of z(-8)?
False
Let y = -5563 + 3000. Let a = 949 + y. Is 6/27 + a/(-27) a multiple of 12?
True
Let v be (-1)/2 - 18/(-12). Suppose 0*g - g + v = 0. Suppose 0 = 2*l - 2*k - 40, -k - 43 = -2*l - g. Does 13 divide l?
False
Let l(k) be the first derivative of -11*k + 1 + 5/2*k**2. Is 9 a factor of l(7)?
False
Let d(p) = 167*p + 141. Does 15 divide d(12)?
True
Suppose -13*i + 15*i - 1034 = 0. Does 33 divide i?
False
Suppose 4*d = -5*t + 133, -3*t + 81 = 5*d - 69. Is 13 a factor of d + 1/3*-3?
True
Suppose 0 = 2*o + 84 + 4. Let k = 23 + o. Let f = k - -66. Does 15 divide f?
True
Let f be (4 - 2)/(16/(-216)). Is -6*48/f + 8/(-12) a multiple of 5?
True
Suppose -w = 2*k - 4*k + 12, 5*k = -5*w + 60. Suppose -k*v + 5*v + 702 = 0. Is v a multiple of 39?
True
Let y = -1771 - -3979. Does 39 divide y?
False
Suppose -4*p = 2*g - 8, 4*g = 2*p - 0 - 4. Suppose -p*c + 30 = n - 3*n, 5*c + 5*n = 75. Suppose 0 = r - 24 + c. Is 2 a factor of r?
False
Suppose 0 = 3*z - 9, 2*r - 5*r + 234 = z. Suppose -r = -2*d - p, 0 = -5*d - 2*p - 2*p + 185. Does 8 divide d?
False
Let b = 1056 + 624. Does 35 divide b?
True
Let f be (2/6)/((-2)/(-738)). Suppose -a + f = -126. Is 33 a factor of a?
False
Let a(t) = -17*t**2 + 2*t + 1. Let y be a(2). Suppose 4*n + 2*m = 4 + 392, -3*n + 300 = 3*m. Let p = n + y. Is p a multiple of 12?
False
Suppose -r = 2*n - 20, -3*n - 27 = -r + 2*n. Suppose 0 = -2*k - 2*v - r, k + 4*v + 6 = 2*v. Let z = -7 - k. Is z a multiple of 6?
False
Suppose -25 = 5*v, -76 + 421 = 4*y - 5*v. Does 8 divide y?
True
Let z = -537 - -378. Is z*(-5)/35 - 4/(-14) even?
False
Let f(r) = -506*r**3 - r - 2. Let b be f(-1). Let m = 835 - b. Is 15 a factor of m?
True
Let h(g) = 11*g + 154. Is h(6) a multiple of 55?
True
Let o = -1248 + 2103. Suppose -20*y = -25*y + o. Does 9 divide y?
True
Let s = 13886 - 6229. Does 13 divide s?
True
Does 42 divide (-504)/50*40/(-12)*5?
True
Let l = 818 - -18. Does 44 divide l?
True
Let l = -98 - -125. Let o = 49 - l. Does 11 divide o?
True
Let s(u) = -2*u**2 + 12*u + 3. Let p be s(6). Suppose p*o - 232 = 2. Does 11 divide o?
False
Suppose -28 = -3*f + f + 5*x, -2*f + 4*x + 24 = 0. Suppose 100 = q + f*q. Let c = q + 1. Is 10 a factor of c?
False
Does 5 divide -55 - -94 - ((-8)/(-2) - 0)?
True
Let c(a) = 7*a**3 + a**2 + a + 4. Let u(f) = -8*f + 35. Let q be u(4). Is c(q) a multiple of 12?
False
Let i be 732/1*(-4)/(-6). Suppose -5*g + 92 = -i. Suppose 4*n + 28 = g. Does 6 divide n?
False
Suppose -g = -
|
{
"pile_set_name": "DM Mathematics"
}
|
+ 25*x**2 + 18*x + 7
What is the j'th term of 39, 79, 117, 153?
-j**2 + 43*j - 3
What is the h'th term of 96, 230, 364, 498?
134*h - 38
What is the l'th term of -193, -420, -651, -886, -1125, -1368?
-2*l**2 - 221*l + 30
What is the w'th term of 27, 20, -11, -78, -193, -368?
-2*w**3 + 7*w + 22
What is the f'th term of -110, -220, -320, -404, -466, -500?
f**3 - f**2 - 114*f + 4
What is the c'th term of -3954, -3956, -3958, -3960, -3962?
-2*c - 3952
What is the h'th term of 1032, 2061, 3090, 4119?
1029*h + 3
What is the l'th term of 4, 14, 20, 16, -4, -46, -116?
-l**3 + 4*l**2 + 5*l - 4
What is the h'th term of -58, -58, -56, -52, -46, -38, -28?
h**2 - 3*h - 56
What is the f'th term of 21, 34, 47, 60?
13*f + 8
What is the i'th term of 4, 15, 30, 49, 72, 99, 130?
2*i**2 + 5*i - 3
What is the b'th term of -216, -887, -2014, -3603, -5660?
-b**3 - 222*b**2 + 2*b + 5
What is the x'th term of 3722, 7443, 11166, 14891, 18618?
x**2 + 3718*x + 3
What is the v'th term of 17, 32, 45, 56, 65, 72?
-v**2 + 18*v
What is the x'th term of -23934, -23933, -23932, -23931?
x - 23935
What is the i'th term of 515, 528, 543, 560, 579, 600, 623?
i**2 + 10*i + 504
What is the v'th term of 17, 57, 129, 239, 393, 597?
v**3 + 10*v**2 + 3*v + 3
What is the z'th term of -172, -354, -540, -730, -924?
-2*z**2 - 176*z + 6
What is the b'th term of -435, -431, -427, -423?
4*b - 439
What is the n'th term of 18, 33, 48, 63?
15*n + 3
What is the q'th term of -31, -69, -93, -97, -75, -21?
q**3 + q**2 - 48*q + 15
What is the h'th term of -417, -415, -411, -405, -397, -387, -375?
h**2 - h - 417
What is the d'th term of 2681, 2682, 2683, 2684?
d + 2680
What is the p'th term of 504, 517, 530, 543, 556, 569?
13*p + 491
What is the j'th term of 360, 720, 1096, 1494, 1920, 2380, 2880?
j**3 + 2*j**2 + 347*j + 10
What is the p'th term of 23274, 23273, 23272, 23271?
-p + 23275
What is the d'th term of 26, -2, -54, -136, -254, -414, -622, -884?
-d**3 - 6*d**2 - 3*d + 36
What is the i'th term of 3, -2, -9, -18, -29?
-i**2 - 2*i + 6
What is the w'th term of 40, 83, 126, 169, 212?
43*w - 3
What is the b'th term of -4, -25, -60, -109, -172, -249, -340?
-7*b**2 + 3
What is the l'th term of -4353, -4358, -4363, -4368?
-5*l - 4348
What is the f'th term of 8, 37, 84, 149, 232, 333, 452?
9*f**2 + 2*f - 3
What is the w'th term of -116, -126, -138, -152, -168, -186, -206?
-w**2 - 7*w - 108
What is the l'th term of 222, 877, 1968, 3495, 5458, 7857, 10692?
218*l**2 + l + 3
What is the v'th term of -29, -115, -257, -455, -709?
-28*v**2 - 2*v + 1
What is the f'th term of -7, -28, -63, -112?
-7*f**2
What is the g'th term of -2022, -4042, -6058, -8070, -10078?
2*g**2 - 2026*g + 2
What is the l'th term of 155, 166, 187, 224, 283, 370, 491?
l**3 - l**2 + 7*l + 148
What is the f'th term of -760, -768, -790, -832, -900, -1000, -1138, -1320?
-f**3 - f**2 + 2*f - 760
What is the m'th term of -5, -35, -109, -245, -461?
-3*m**3 - 4*m**2 + 3*m - 1
What is the z'th term of 19296, 19295, 19294, 19293, 19292?
-z + 19297
What is the m'th term of 2, -1, -14, -43, -94, -173?
-m**3 + m**2 + m + 1
What is the z'th term of -190, -377, -566, -757, -950, -1145?
-z**2 - 184*z - 5
What is the z'th term of -474, -468, -450, -414, -354, -264, -138, 30?
z**3 - z - 474
What is the p'th term of 7, 26, 81, 190, 371, 642, 1021?
3*p**3 - 2*p + 6
What is the p'th term of 44, 187, 426, 761?
48*p**2 - p - 3
What is the w'th term of -1455, -2900, -4343, -5784, -7223, -8660, -10095?
w**2 - 1448*w - 8
What is the k'th term of 299, 301, 303, 305, 307?
2*k + 297
What is the z'th term of -8, -31, -68, -125, -208?
-z**3 - z**2 - 13*z + 7
What is the g'th term of 12, 31, 88, 201, 388?
3*g**3 + g**2 - 5*g + 13
What is the c'th term of -117, -110, -99, -84, -65, -42?
2*c**2 + c - 120
What is the l'th term of 7, 40, 95, 172?
11*l**2 - 4
What is the o'th term of 892, 896, 902, 910, 920?
o**2 + o + 890
What is the o'th term of 221, 362, 503, 644, 785?
141*o + 80
What is the l'th term of 48, 43, 38?
-5*l + 53
What is the h'th term of -2377, -2374, -2371, -2368?
3*h - 2380
What is the t'th term of -20, -46, -94, -176, -304?
-2*t**3 + t**2 - 15*t - 4
What is the n'th term of -79, -132, -227, -370, -567, -824, -1147?
-n**3 - 15*n**2 - n - 62
What is the p'th term of 72, 136, 196, 252, 304, 352?
-2*p**2 + 70*p + 4
What is the v'th term of 40, 145, 320, 565, 880?
35*v**2 + 5
What is the v'th term of -10, -6, 0, 8, 18, 30?
v**2 + v - 12
What is the h'th term of -1737, -3479, -5221, -6963, -8705?
-1742*h + 5
What is the j'th term of -368, -366, -364, -362, -360?
2*j - 370
What is the z'th term of -190, -573, -1204, -2077, -3186, -4525, -6088?
z**3 - 130*z**2 - 61
What is the u'th term of -200, -827, -1872, -3335, -5216, -7515, -10232?
-209*u**2 + 9
What is the y'th term of -17, -17, -11, 1, 19, 43?
3*y**2 - 9*y - 11
What is the c'th term of -9, -17, -25, -33, -41?
-8*c - 1
What is the v'th term of 112, 446, 1002, 1780, 2780?
111*v**2 + v
What is the q'th term of -34, -225, -750, -1777, -3474, -6009, -9550, -14265?
-28*q**3 + q**2 + 2*q - 9
What is the d'th term of 0, -38, -122, -270, -500?
-3*d**3 - 5*d**2 - 2*d + 10
What is the f'th term of -9, -10, -1, 18, 47, 86?
5*f**2 - 16*f + 2
What is the r'th term of 21, 50, 79, 108, 137?
29*r - 8
What is the f'th term of -214, -426, -638, -850, -1062, -1274?
-212*f - 2
What is the i'th term of -396, -865, -1334, -1803?
-469*i + 73
What is the u'th term of -2, 0, 4, 10, 18?
u**2 - u - 2
What is the h'th term of -10, -27, -44?
-17*h + 7
What is the i'th term of 13, 8, -33, -128, -295, -552?
-3*i**3 + 16*i
What is the i'th term of 0, -17, -40, -69, -104?
-3*i**2 - 8*i + 11
What is the o'th term of -30, -56, -82, -108?
-26*o - 4
What is the j'th term of -57, -55, -55, -57, -61, -67, -75?
-j**2 + 5*j - 61
What is the u'th term of 42, 155, 350, 633, 1010, 1487, 2070, 2765?
u**3 + 35*u**2 + u + 5
What is the s'th term of 49, 92, 133, 172, 209?
-s**2 + 46*s + 4
What is the b'th term of -18, -29, -38, -39, -26, 7?
b**3 - 5*b**2 - 3*b - 11
What is the b'th term of 7, 19, 37, 61?
3*b**2 + 3*b + 1
What is the n'th term of -204, -205, -206, -207, -208?
-n - 203
What is the y'th term of 367, 711, 1045, 1363, 1659, 1927, 2161?
-y**3 + y**2 + 348*y + 19
What is the r'th term of 102, 123, 144?
21*r + 81
What is the w'th term of -156, -620, -1394, -2478, -3872, -5576, -7590?
-155*w**2 + w - 2
What is the s'th term of -5, -2, -15, -50, -113?
-s**3 - 2*s**2 + 16*s - 18
What is the d'th term of 38, 39, 38, 35, 30, 23?
-d**2 + 4*d + 35
What is the n'th term of 85, 141, 229, 343, 477, 625?
-n**3 + 22*n**2 - 3*n + 67
What is the c'th term of -11, -9, -3, 7, 21, 39, 61?
2*c**2 - 4*c - 9
What is the o'th term of -167, -698, -1583, -2822, -4415, -6362, -8663?
-177*o**2 + 10
What is the m'th term of -9576, -19151, -28726?
-9575*m - 1
What is the u'th term of -3, 18, 39, 60?
21*u - 24
What is the d'th term of 338, 344, 350, 356?
6*d + 332
What is the p'th term of 111, 191, 257, 303, 323, 311?
-p**3 - p**2 + 90*p + 23
What is the x'th term of 1784, 1790, 1794, 1796?
-x**2 + 9*x + 1776
What is the v'th term of -10, -35, -62, -97, -146?
-v**3 + 5*v**2 - 33*v + 19
What is the t'th term of 59, 236, 531, 944, 1475, 2124, 2891?
59*t**2
What is the x'th term of -496, -1012, -1518, -2008, -2476, -2916, -3322, -3688?
x**3 - x**2 - 520*x + 24
What is the h'th term of -377, -392, -407, -422, -437, -452?
-15*h - 362
What is the x'th term of 5408, 10814, 16218, 21620?
-x**2 + 5409*x
What is the x'th term of -1398, -1402, -1404, -1404, -1402, -1398?
x**2 - 7*x - 1392
What is the k'th term of -2679, -2677, -2677, -2679?
-k**2 + 5*k - 2683
What is the c'th term of -21431, -42863, -64297, -85733, -107171, -128611?
-c**2 - 21429*c - 1
What is the r'th term of -1688, -1679, -1656, -1613, -1544, -1443, -1304, -1121?
r**3 + r**2 - r - 1689
What is the l'th term of -35, -55, -99, -179, -307, -495?
-2*l**3 - 6*l - 27
What is the o'th term of -137, -131, -121, -107, -89, -67?
2*o**2 - 139
What is the r'th term of 9127, 18254, 27381, 36508, 45635?
9127*r
What is the b'th term of 90, 186, 282, 378, 474, 570?
96*b - 6
What is the b'th term of -91, -212, -537, -1168, -2207, -3756?
-17*b**3 - 2*b - 72
What is the v'th term of 517, 503, 489, 475?
-14*v + 531
What is the c'th
|
{
"pile_set_name": "DM Mathematics"
}
|
git of s?
1
Suppose -7*b - 147 = -497. Suppose 3*j - b = -5*x + 643, 0 = -3*j - 2*x + 684. What is the tens digit of j?
2
Let b = -4256 + 5065. What is the hundreds digit of b?
8
Let f = 7413 - -1409. What is the thousands digit of f?
8
Let t = 66 - 39. Suppose 0 = r - 4*o + 3, 33*o + 12 = 2*r + 34*o. Let n = r + t. What is the tens digit of n?
3
Let f(b) = 120*b**2 + 21*b + 93. What is the thousands digit of f(-5)?
2
Let q(k) = 11*k + 18. Let p(n) = -5*n - 9. Let f(b) = -13*p(b) - 6*q(b). Let d be f(5). Suppose -d*o = -163 + 55. What is the tens digit of o?
2
What is the ten thousands digit of 4/(-6) + (-3082408)/(-168) + (-12)/(-1)?
1
Let g(b) = b + 5. Let a be g(3). What is the units digit of ((-112)/35)/a*-160?
4
Suppose 6 = -g + 4*g. Let l be (-2)/6*(25 + -19) - (-8 - -3). What is the units digit of (l - 129/6)/(g/(-4))?
7
Let v = 6572 - 5395. What is the units digit of v?
7
Let r(x) be the second derivative of x**4/6 - 5*x**3/3 + 5*x**2 - 3*x. Let b be r(14). Let y = b + -168. What is the units digit of y?
4
Let h(q) = 3*q**2 + 55*q - 3951. What is the tens digit of h(-118)?
3
Let c = -2351 - -10087. Suppose -15*j - c = -23*j. What is the tens digit of j?
6
Let y(m) = 7*m**2 + m + 5. Let f be 146/(-7) + 0 + (-5)/35. Let u = -24 - f. What is the tens digit of y(u)?
6
Let k = 491 + -258. Let d be 3/((-631)/(-157) - 4). Let g = k - d. What is the units digit of g?
6
Let l = 9331 + -4465. What is the tens digit of l?
6
Suppose 37 = 7*i - 348. Let y be (-2)/(-8)*11/(i/60). Suppose -5*w - 2*q + 186 = -2*w, -y*q - 137 = -2*w. What is the tens digit of w?
6
Let p(k) = 72*k**2 - 9*k + 14. Let b(y) = 24*y**2 - 3*y + 5. Let f(h) = -11*b(h) + 4*p(h). Let x be f(1). What is the units digit of (-58)/(-4) + 11/x?
5
Let i(k) = -4379*k + 72. What is the ten thousands digit of i(-19)?
8
Let b(m) = 16135*m**2 - 9*m + 9. What is the ten thousands digit of b(1)?
1
Let m = -221 + 218. What is the units digit of (-5)/45*m*384?
8
Suppose -20*i = -28*i + 16. Suppose -i = 2*o, -u = -5*u - 3*o + 1293. What is the hundreds digit of u?
3
Let h(k) = k**2 - 4*k + 1. Suppose -2*y - 4*y + 30 = 0. Let r be h(y). What is the units digit of ((-14)/r + 3)*291/2?
7
Let x = -13 - -22. Let s(m) = 128*m - 232. Let y(q) = -23*q + 42. Let v(k) = -5*s(k) - 28*y(k). What is the tens digit of v(x)?
2
Let g(m) = 73*m**2 + 47*m + 554. What is the tens digit of g(28)?
0
Suppose 4*b = 638 + 3018. Suppose 37*d = 1158 + b. What is the units digit of d?
6
Let p(m) = -m**3 + 2. Let t be p(0). Suppose 2*y + 4*b = 2566, 22 = t*b + 28. What is the tens digit of y?
8
Let d(x) = 46*x - 4. Let b be d(6). Suppose -366*n = -378*n - 888. Let s = b + n. What is the hundreds digit of s?
1
Suppose i + 3 = 14. Suppose -24825 = i*a - 26*a. What is the hundreds digit of a?
6
Let t = -635 - -708. Suppose -41 = -y - 3*j, t = 5*y - 3*y + 3*j. What is the tens digit of y?
3
Let u be (-57)/(-38)*(-3)/(9/14). Let c = 3 - u. Suppose 0 = 3*b - y - 6, -5*b + c = -0*y - 2*y. What is the units digit of b?
2
Suppose -15*h + 20*h = x - 952, 3*x + 4*h = 2913. What is the hundreds digit of x?
9
Suppose -10*h = -8*h + 12*h - 5586. What is the units digit of h?
9
Suppose -5*d - 377 = 723. Let x = d - -245. What is the units digit of x?
5
Let y be 836/(-3)*(-2 - 3/(-6)). Let a = -98 + y. What is the tens digit of a?
2
Let d(w) = 2*w**2 - 2*w + 80. Let s(x) = x**3 + 4*x**2 + 2*x - 3. Let g be s(-3). Suppose g = -j + 6*j. What is the units digit of d(j)?
0
Suppose -r - r = 0. Suppose r*l = -3*x - 5*l + 1342, 4*l = 2*x - 924. What is the tens digit of x?
5
Suppose -13*l - 1942 = -174. Let y = l - -477. What is the units digit of y?
1
Suppose 6*d - 48 = -30. Suppose 2*q = d*t + 813, t + 0*t + 407 = q. What is the hundreds digit of q?
4
Suppose 48*z - 21479 - 32617 = 0. What is the hundreds digit of z?
1
Suppose 6*m = 76027 + 2597. Suppose 0 = -31*c + 44*c - m. What is the hundreds digit of c?
0
Let m(r) = -314*r + 336. Let f be m(-11). Suppose 2*a - 3034 = -4*o, 19*a - 14*a = -5*o + f. What is the hundreds digit of o?
7
Let i(q) = -q**2 + 7*q - 2. Let y be i(6). Let w be ((-1984)/40)/(y/(-10)). Suppose -4*h = w - 624. What is the units digit of h?
5
Suppose 0*z = -4*z + 47912. Suppose -14*v - 3676 = -z. What is the tens digit of v?
9
Suppose 2*p = -3*a - p - 180, 2*p = -5*a - 303. Let m = a - 133. Let b = m - -271. What is the tens digit of b?
7
Suppose 64922 = 88*m - 28534. What is the tens digit of m?
6
Let o = 111 + -27. Let l be o/(-22) + 4/(-22). What is the tens digit of 56/((-18)/(-4) + l)?
1
Let q be 32/6*42/4. Suppose 2*i + 5*y + 44 = 10, -4*i - 4*y - 56 = 0. Let f = q + i. What is the tens digit of f?
4
What is the units digit of ((-144)/21)/4*4138463/(-166)?
8
Let v(o) = o**3 - 7*o**2 + 3*o - 17. Let s be v(7). Suppose s*q - 1655 + 91 = 0. What is the tens digit of q?
9
Let s(b) = b**2 + 2*b - 5. Let n be s(-4). Suppose -1404 = -2*x - 5*l, 3548 = 2*x + n*x + 3*l. What is the tens digit of x?
1
Let t(y) = 114*y + 22. Let l be t(-3). Let x = 11 - l. What is the hundreds digit of x?
3
Suppose -b - 112 = 22. Let f = b + 452. What is the tens digit of f?
1
Suppose 4*k - 45510 = -4*k - 974. What is the thousands digit of k?
5
Suppose 0 = -14*y + 14345 + 19885. Suppose -3*a = 3*x - 1491, -5*a - x + y = -6*x. What is the tens digit of a?
9
Let d = 4145 + -1786. Suppose x - d = -6*x. What is the tens digit of x?
3
Suppose 200*p - 4540553 + 2675011 - 3923458 = 0. What is the units digit of p?
5
What is the tens digit of -3 + -13 + 11 + -7 + 37477?
6
What is the units digit of 3 + 16/(-2) + 5470?
5
Suppose -327*w + 66110 = -316*w. What is the units digit of w?
0
Let a be 8*(-4)/(-8) - 33*-79. What is the units digit of (a/(-4) - (-15)/20)/(-2)?
6
Let h(k) = 93*k**2 - 49 + 29 - 92*k**2 + 5*k + 23. Let t be (-30)/4 + (-1)/2. What is the tens digit of h(t)?
2
Let d(c) = -4*c - 22. Let o be d(17). Let v = o + 13. What is the tens digit of v*2*(-1)/2?
7
Suppose i - 388 = -385. What is the units digit of ((-2)/i)/((-34)/32793)?
3
Suppose 3*y - 5*p - 31151 = 0, -3*p + 2332 - 23101 = -2*y. What is the thousands digit of y?
0
Let s(i) = -i**3 - 12*i**2 + 11*i + 4. Let b be s(-13). Let n be (b/12)/((-4)/(-152)). Let u = n - -24. What is the tens digit of u?
1
Suppose 7*g - 4*g - 5*i - 15 = 0, 3*i = -5*g + 25. Suppose s - 4*s + 2*n - 404 = 0, -5*n + g = 0. Let p = 236 + s. What is the tens digit of p?
0
Let y(c) = 6968*c + 1046. What is the ten thousands digit of y(6)?
4
Let o(i) = -785*i + 947. What is the hundreds digit of o(-8)?
2
Suppose 45*c + 2*x - 20892 = 42*c, 0 = 3*c - 2*x - 20904. What is the thousands digit of c?
6
Let t(l) = 39*l + 82. Suppose -3 = -5*y - 4*o + o, 4*o = y - 19. What is the hundreds digit of t(y)?
1
Let g(j) = -120*j**3 - 11*j**2 + 48*j + 164. What is the units digit of g(-6)?
0
Let g be 1/(-5)*1 + (-2)/(-10). Suppose 0 = -4*a - 2*s - 66, g*a - 15 = a + s. Let k(b) = -9*b - 43. What is the tens digit of k(a)?
1
Suppose -2*y + 3*u = -63661, -5*y + 159205 = 85*u - 82*u. What is the tens digit of y?
3
Let j = 1904 - 1311. Let f = j - -673. What is the hundreds digit of f?
2
Suppose 0 = -54*b - 955 - 1475. Let v(h) = -8*h**2 - 2*h + 1. Let s be v(2). Let i = s - b. What is the units digit of i?
0
Let u(t) = -736*t + 42. Let p be u(-3). Let o = -1265 + p. What is the units digit of o?
5
Let g = 5010 + -1563. What is the hundreds digit of g?
4
Suppose -219 = 5*t - 19. Let b = t + 115. What is the units digit of b?
5
Let g(q) = 5016*q**2 + 32*q + 36. What is the thousands digit of g(-1)?
5
Suppose -3*u - 22*z + 3968 = -23*z, -3952 = -3*u + 5*z. What is the tens digit of u?
2
Suppose 46*s - 2391 = 43*s. Suppose 5*a - 2*r - 5002 = -s, 0 = 4*a + 4*r - 3364. What is the hundreds digit of a?
8
Let k = -22728 - -30103. What is the tens digit of k?
7
Suppose -40*r + 25*r = 61*r - 1600712. What is the hundreds digit of r?
0
Let c(k) = -38*k - 112. Let g be c(-20). What is the units digit of ((-28)/(-16) + -3)/((-2)/g)?
5
Suppose -38*p + 2440 = -43*p. Let i = 794 + p. What is the hundreds digit of i?
3
Let p be 6/8 + 3/(-4). Suppose p = 3*k - 213 - 12. What is the units digit of k?
5
Let g = -18 + 13. Let j be (g + -1)/(-5 - (-18)/6). Suppose -j + 0 = -b. What is the units digit of b?
3
Let z(t) = -34*t + 10265. What is
|
{
"pile_set_name": "DM Mathematics"
}
|
2)/v)?
6
Let g be -3 + 2 + 4 - 1. Suppose -11 = -g*t - 47. What is the tens digit of t/(-12)*(-32)/(-3)?
1
Suppose 2*h = 12 - 32. Let l = h + -8. What is the units digit of (-2)/9 - 76/l?
4
Let f(o) = -28*o. Suppose 27 = -2*w + 5*z, 0*w - 6 = -4*w - 2*z. What is the units digit of f(w)?
8
Let y = 80 - 56. What is the units digit of (-8)/y*9*-3?
9
Suppose 24*f - 18*f = 774. What is the tens digit of f?
2
Suppose 0 = 5*t - q - 115, 0 = -2*t - 4*q + 38 + 8. What is the units digit of t?
3
Let m = -272 - -430. What is the tens digit of m?
5
Let g = -10 + 28. Let u = 5 + g. What is the units digit of u?
3
Let s(u) = 6*u**3 + u**2. Let p(l) = l**3. Let c(a) = -2*p(a) + s(a). Let j be c(-1). Let o = 9 + j. What is the units digit of o?
6
Suppose 2*z = 3*g - 277, -2*g - 3*g + 491 = 4*z. What is the tens digit of g?
9
Let c(a) = a**2 + 5*a - 13. What is the units digit of c(-9)?
3
Let s(x) = 1 + 6*x**2 - 3*x**2 - 5*x - 5*x**2 + x**3. What is the tens digit of s(4)?
1
Let l = 2 + 3. Suppose l*a = -0*a - 5*d + 100, 64 = 5*a - 4*d. What is the tens digit of a?
1
What is the units digit of (-11)/(-4)*1*12?
3
Let t = 87 + -57. What is the tens digit of t?
3
Let d(u) = u**2 + 2*u - 1. Suppose 8*r = 4*r - 20. What is the tens digit of d(r)?
1
Let w(i) = -i**3 - i**2 - i - 1. Let r(q) = 4*q**3 + 6*q**2 + 5*q + 4. Let b(o) = r(o) + 3*w(o). What is the units digit of b(-1)?
1
Suppose 18 = 2*b - 5*c - 9, -4*b = -c - 27. What is the tens digit of 376/9 + b/27?
4
Let l be 3/(-2)*(-28)/(-3). What is the units digit of l/(-2) + -1 + 0?
6
Let r(t) = t**3 + 6*t**2 + 4*t + 1. What is the tens digit of r(-4)?
1
Let y = -85 + 147. What is the tens digit of y?
6
What is the tens digit of -3 - (-157 - 3 - -3)?
5
Suppose 2 = 2*j - 2. Suppose -g + j*g - 50 = -4*h, -4*g + 32 = 2*h. Suppose 3*f + h = 3*a, 3*a - 4*f + 0*f = 12. What is the units digit of a?
4
Let f be 897/12 - (-2)/8. Suppose x - 4*x + f = 0. What is the units digit of x?
5
Suppose -o = 5 - 7. What is the units digit of 60/8 + o/4?
8
Let a(h) = h + 10. Let k be a(-7). Suppose -4 = -k*i + 5. Suppose -2*v + 46 = 3*v + b, -4*b = -i*v + 23. What is the units digit of v?
9
Suppose 3*i = q + 3*q - 68, 0 = -q + 4*i + 4. What is the units digit of q?
0
Let z be ((-10)/(-1))/(2 + 0). What is the units digit of (-1)/z + 205/25?
8
Suppose 3*y - 2*y = -5*k + 22, 4*k = 5*y + 35. Suppose k*g - 6*g = -11. What is the tens digit of g?
1
Let u(q) = -q**2 + 1. Let a(n) = -5*n**2 - 5*n + 16. Let g(s) = -a(s) + 4*u(s). What is the units digit of g(-10)?
8
Let z = -169 - -281. What is the hundreds digit of z?
1
Let q(p) = -p**2 + p + 203. What is the units digit of q(0)?
3
Let j(w) = 5*w**2 - 3*w - 3. Let n(v) = -v**2 + 10*v - 2. Let u be n(10). What is the tens digit of j(u)?
2
Let i = -11 + 14. Suppose i*d - 36 = -4*q + 10, 4*q + d = 42. What is the tens digit of q?
1
Suppose j + 1082 = 3*t, -855 = -5*t - 5*j + 935. What is the units digit of t?
0
Let o = -3 + 9. What is the units digit of o?
6
Let u(n) = n**3 + 5*n**2 + 4*n - 5. Let d be u(-4). Let p = d - -3. Let a(y) = -3*y + 1. What is the units digit of a(p)?
7
Let o = -57 - -113. What is the tens digit of o?
5
Suppose 2*y - 3*i = 15, -4*y - 4*i + 39 = -21. Let u be (1 + 53)/(y/8). Let h = 55 - u. What is the tens digit of h?
1
Let m(a) = -5*a - 5. Let z be m(-9). Suppose 2*c + 4*f = z, 5*c = 4*f + 34 + 80. What is the tens digit of c?
2
Let t(m) = -2*m. Let x be t(4). What is the tens digit of (-1)/(-2) - 148/x?
1
Suppose -h - 48 = 3*h. Let c = 4 - h. What is the tens digit of c?
1
Let c be (3/2)/((-1)/(-2)). Suppose -5*q + 19 = 4*n, -c*n - 6 = 2*q - 5*q. What is the units digit of q?
3
Let q(u) = -u**3 + 5*u**2 - 3*u + 5. Let r be q(4). Let v(n) = 6*n - 10. What is the units digit of v(r)?
4
Let v(d) = -d**2 + 7*d - 6. Let l be v(5). Let h(y) = 4*y + 5*y - 3 - l*y. What is the units digit of h(2)?
7
Suppose 10*l = 49 + 3541. What is the units digit of l?
9
Let l(b) = -b**3 + 11*b**2 - 9*b. What is the hundreds digit of l(8)?
1
Let w be ((-16)/(-6))/(2/9). Suppose 4*f - k - w = 0, -3*f + 6 = k - 10. Suppose -y + f = -0*y. What is the units digit of y?
4
Suppose -2*r - c + 11 = -16, 0 = -r - 5*c + 36. What is the tens digit of r?
1
Let x(f) = -f - 2. Let z be x(-4). What is the units digit of -11*(z - 2 - 1)?
1
Let u(g) = g**3 - 9*g**2 + 10. Let m be u(9). Suppose -m = -0*w - 5*w. What is the units digit of w?
2
Let a = -90 + 305. What is the hundreds digit of a?
2
Suppose -3*f = -0*f + 39. Let y(k) = -k**3 - 13*k**2 - 2*k - 8. What is the units digit of y(f)?
8
Let v be (-37)/14*-2 + (-2)/7. Let b = -8 - -5. Let z = b + v. What is the units digit of z?
2
Let q = 4 - 4. Suppose q*k = 3*p + 4*k - 96, 0 = 3*k. What is the units digit of p?
2
Let o = 50 - 1. What is the units digit of o?
9
Let d = 13 - 9. Let l(k) = 2*k - 11. Let s(t) = 3*t - 16. Let x(a) = -7*l(a) + 5*s(a). What is the units digit of x(d)?
1
Let p(u) = 52*u - 6. What is the units digit of p(2)?
8
Let q = 1 + 1. Let p = q + 2. What is the units digit of p?
4
What is the tens digit of (-15)/6*364/(-10)?
9
Suppose -2*r + 5 = -5*c, -25 = -3*r - 0*r + 4*c. What is the units digit of r?
5
Let z = -7 - -4. Let l(x) = -4*x - 4. What is the units digit of l(z)?
8
What is the units digit of (-315)/(-6) + (-3)/6?
2
Suppose 255 = 4*h + h. Suppose 4*g + 0*g = -5*w + h, 0 = 3*w - g - 17. What is the units digit of w?
7
Suppose -47 = -w - 4*u, 2*w - u + 0*u - 139 = 0. What is the tens digit of w?
6
Let v(t) = t + 10. Let s be (7/(-14))/((-1)/(-10)). What is the units digit of v(s)?
5
Suppose -2*i = i - 138. What is the units digit of i?
6
Suppose -3*n + 68 = 4*g + g, -4*n + 52 = -3*g. What is the units digit of n?
6
Let a(m) = m**3 + 2*m**2 - 2*m + 3. Let p be a(-3). Let r = 45 + -43. Suppose 4*h - 34 - r = p. What is the units digit of h?
9
Suppose -3*b + 5*a + 185 = 64, 4*b - 5*a = 158. What is the units digit of b?
7
Suppose -2*q - 2*j + 16 + 0 = 0, 8 = 4*j. What is the units digit of q?
6
Suppose 3*o - 66 = 2*o. Let z be (o/(-3))/(1 + -3). Let r = z - 5. What is the units digit of r?
6
Suppose -2*n + 49 + 5 = 0. What is the units digit of n?
7
Let s(c) = -c**2 + 4*c + 3. Let h be s(5). Let m be (35/14)/(h/(-4)). Suppose -y - 5*a = -31, m*y + 0*y = -3*a + 67. What is the units digit of y?
1
Suppose 0 = -3*h - 14 + 5. Let f(v) = 29 - v - 29. What is the units digit of f(h)?
3
Let n be (-2)/(-6)*(3 - -60). Let s(v) = -v**3 + 3*v**2 + 2*v + 1. Let m be s(3). Let b = n - m. What is the units digit of b?
4
Let r(h) = -h**3 - 7*h**2 + 15*h + 25. What is the hundreds digit of r(-11)?
3
Suppose -5*r = 4*j - 0*r - 133, -2*j + 60 = -4*r. Let q = j - 13. What is the units digit of q?
9
Let r(a) = -2*a - 8. Let n be r(-6). Let j(u) = 4*u - 5. What is the units digit of j(n)?
1
Suppose 3*t - 4 = d, 0 = t - d - d - 3. Let o(v) = 7*v**3 - 1. Let q be o(t). What is the units digit of q/(-3) - (-10 - -1)?
7
Let l(n) = -n**3 + 6*n**2 - 5*n - 3. Let c be l(6). Let u = -12 - c. What is the tens digit of u?
2
Let p be 16/(-6)*(-30)/10. Let t(k) = 4*k - 9. What is the tens digit of t(p)?
2
Suppose -5*o + j = -295, 3*j + 189 = -o + 4*o. What is the units digit of o?
8
Suppose -c + 41 = c + w, 79 = 4*c + 5*w. What is the units digit of c?
1
Let g(z) = z**2. Let j be g(-1). What is the units digit of -4 + 7 + j*-1?
2
Suppose 5*t - 9 = 1. Suppose -3*g - 6 = 2*z, 5*z - 25 = t*z + 4*g. Suppose 2*y - z = 9. What is the units digit of y?
6
Let q = -27 + 127. What is the units digit of q?
0
Suppose 7 = 4*x + o - 14, -2*x = -4*o + 12. Suppose 3*y + x*g = -g + 15, -4*g - 22 = -y. What is the tens digit of y?
1
What is the tens digit of (-4)/(-8) + 79/2?
4
Let p(x) = 10*x**2 + 12*x + 44. What is the hundreds digit of p(-6)?
3
Let b(k) = -3*k - 6. Let a be b(-7). Suppose a = z + 5. What is the tens digit of z?
1
Let z(b) = -100*b. What is the hundreds digit of z(-1)?
1
Let y = -28 - -20. Let v = y + 16. What is the units digit of v?
8
Let q = -42 + 21. Let n = -69 + 40. Let o = q - n. What is the units digit of o?
8
What is the units digit of ((5 - 2)*-3)/(-1)?
9
Let g(i) = -8*i - 8. Let n(s) = -9*s - 9. Let t(x) = -5*g(x) + 4*n(x). Let l be t(6). Suppose 2*b + l = 6*b. What is the units digit of b?
7
Let g(z) = z**3 - 10*z**2 + z - 1. What is the unit
|
{
"pile_set_name": "DM Mathematics"
}
|
))/n)/n)/((n/n**(-7))/n)) assuming n is positive.
n**(235/21)
Simplify (((i**(-4/7))**(4/7)*i/(i*(i*i/(i/i**(2/5))*i)/i)*i**(2/9))**(2/67))**45 assuming i is positive.
i**(-6634/3283)
Simplify (j**(3/4)*j**(-1/3))**(-8/17)/((j**(-1/6)*j**(-4))/(j/((j/(j**(-2/7)/j))/j*j))**(3/17)) assuming j is positive.
j**(891/238)
Simplify ((s**4*s)**(-26)*((s/(s*s**(-4)))/s)/(s/s**(1/9)))**48 assuming s is positive.
s**(-18416/3)
Simplify (p**(-28)*p)**(-31/3)/((p**(-27)/p)/(p**(-1/6)/p)) assuming p is positive.
p**(1835/6)
Simplify p**(-12)*p/p**43*p**(1/5)/(p/(p*p/p**(-2/17)*p)*p) assuming p is positive.
p**(-4478/85)
Simplify ((z**(1/5)*z)/(z*z/(z/(z/(z*z**(2/5)))))*(z**(-2/11)*z*z*z*z)/z**(2/7))/((z**(-3/7)/(z/z**(-1/2)*z))/(z*z/(z**(-1)*z))**(-29)) assuming z is positive.
z**(-39223/770)
Simplify ((r**(2/9)*r)/r*r*r*r*r*r**(-7)*r)/((r/(r*r**(2/7)))/r)**(-23)*(r**(1/4)*r)**(1/19)*r**1/(r*r**(1/9)/r) assuming r is positive.
r**(-145529/4788)
Simplify (r**(2/7))**(-16)/((r*r**(2/17))/(r/(r/r**(2/11))))*((r*r**(1/12)*r)/r*(r*r/(r*r**(-5/6)))/r)**3 assuming r is positive.
r**(1271/5236)
Simplify (s/(s**(1/4)*s)*s**(-3))**(-39)/((s**(-2/3))**(-3/43))**(-1) assuming s is positive.
s**(21809/172)
Simplify ((b/(b/b**(-2/3)))/b*b**(-2))**6*(b**(2/5)*(b/b**(-3))/b)**(-9/10) assuming b is positive.
b**(-1253/50)
Simplify ((o*o**(2/5)/o)**(1/15))**(-28)/(((o*o/(o/(o**(2/9)*o)))/(o*(o*o**(-1/2)/o*o)/o*o))/((o/o**(-3))/(o/((o**(-4/9)*o)/o)))) assuming o is positive.
o**(163/150)
Simplify (u**(3/16)*u*u*u**(-42))/(u/(u/(u*u**(-13)))*u/u**6) assuming u is positive.
u**(-365/16)
Simplify (a**15/a**(2/11))**6/(a**(1/11)/a*a/a**12)**(-3/11) assuming a is positive.
a**(10365/121)
Simplify ((p/((p/(p**(-1/4)/p))/p)*p/(p/((p/(p/((p/p**13)/p)))/p)))/(p**(-3/4))**(-1/13))**(-37) assuming p is positive.
p**(6882/13)
Simplify (z*z*z**(-1/3)*z*z)**50*z**5/(z*z/(z/z**(-7)*z)*z)*((z/(z**(-2/19)*z))/(z**9*z))**(-17/2) assuming z is positive.
z**(15871/57)
Simplify ((g/(((g/g**(1/3)*g)/g)/g))**(-38))**8/(g**(-2)/(g*g**(1/9)))**7 assuming g is positive.
g**(-3452/9)
Simplify (d**(3/5)*(d**5/d)/d)/(d**(-2/7)*d**(1/2))*(d**5/d*d**(4/7))**23 assuming d is positive.
d**(7597/70)
Simplify ((v**0/v*(v*(v**(-1/4)/v)/v)/v)/(v*v**(-8)*v/((v**(-8)*v)/v)))/((v**(2/7))**(-15)/((v*v**(-4)/v*v)/v**(3/4))) assuming v is positive.
v**(-33/7)
Simplify ((((j/(j*j**(-31)))/j)/j)/(j**39*j)*((j**27*j*j)/j*j)/((j**(-4/7)*j)/j))**(-45) assuming j is positive.
j**(-5850/7)
Simplify ((m*m*m/((m*m**0/m)/m))**44*m**(-4/5)/(m/(m/(m*m/m**(-2/7)*m))))/((m**(1/5)*m)**(-40))**49 assuming m is positive.
m**(88337/35)
Simplify ((h/(h/(h/(h/((h**(5/11)*h)/h)))))/h*h/(h*h**(5/6)*h*h)*h*h*h)/(h**(5/7)/((h**(11/2)*h)/h)) assuming h is positive.
h**(1018/231)
Simplify (m**3/m**7)**44/(((m/(m*(m*m/(m**(2/3)*m)*m*m*m)/m)*m*m)/m)**33/(m/m**(-1/4))**(-28)) assuming m is positive.
m**(-167)
Simplify ((v**(-2/5))**(-1/15)/((v*v/v**1)/(v/((v**6*v)/v))))/(((v*v**(-7)*v)/(v*v**4))/(v/(v**(1/4)*v)*v/v**(-1/4))) assuming v is positive.
v**(377/75)
Simplify (j**(3/4)/(j**(-2/3)*j)*j**(-2/23)*j*j**(-7)/j)/((j**(-1/4)*j*j**(1/10))/(j**7/j**(-2/17))) assuming j is positive.
j**(-4723/11730)
Simplify (w**(3/5)/(w*(w*w**(-3))/w*w*w))**(-33)/((w**(-9)/(w*w**(-3)))/((w**(-3/7)*w)/(w/w**(-1/5)))) assuming w is positive.
w**(-94/7)
Simplify (o**(-1)*o*o/o**(-6))**(1/13)*(o**(-8)/o*o**(-2/3))**(-4/33) assuming o is positive.
o**(2201/1287)
Simplify (((s**(17/4)/s)/(s*s/s**(-29)))/(s**41/(s/(s*s**(-8)/s))))**(-26) assuming s is positive.
s**(3107/2)
Simplify ((l**1)**(-7)*(((l/(l/(l*l/l**(2/9))))/l)/l*l)/(l/(l*l**(1/10))*l))/(l/(l/(l/l**(-2/7)))*l/l**(-1/6)*l**(-5/4)/l**2) assuming l is positive.
l**(-7969/1260)
Simplify ((n**(-3)/n)**(-16)*(n/(n*n**8))**(-34/7))**(1/30) assuming n is positive.
n**(24/7)
Simplify (l**0*l*l)**(-22/7)/(l**(1/5)/l**(-3))*(l**(-2/13)/l*l**2)**(6/5) assuming l is positive.
l**(-3854/455)
Simplify ((z**3)**(-31)*(z**(-12))**(-20))**31 assuming z is positive.
z**4557
Simplify (((p/((p*p/(p/(p/p**2)))/p*p))/(((p/(p*p*p*p**(1/3)))/p)/p))/((p**2/p*p*p)/((p**0/p)/p)))/((p**1)**43*(p/p**(-2))/p**(-2)) assuming p is positive.
p**(-143/3)
Simplify ((g*g**(-2/7)*g)/((g**(1/15)/g)/g))**(1/42)/((g/(g*g*g/g**(2/41)))/(g**(-9)*g))**(-1/4) assuming g is positive.
g**(289123/180810)
Simplify (k/(k**(1/4)/k))/k**(-1)*k**(-4)*(((k**(4/5)*k)/k)/k)/k*(k**(2/19)*k*(k/k**4)/k)/(k**(1/3)/k**3) assuming k is positive.
k**(-3053/1140)
Simplify ((s/(s**(-1/4)/s))**(-10/17)*(s*s**(2/9)*s*s)**(1/3))**44 assuming s is positive.
s**(-5038/459)
Simplify ((a**(6/7)*a)/a*a/(a*a*a**(1/2)/a)*(a**1)**(4/33))/((a/(((a*a/(a*a*a/(a**(-3)/a)))/a)/a))/(a*a/(a**2/a))*(a**(1/2)/a)**(-1/10)) assuming a is positive.
a**(-30361/4620)
Simplify (a*a/(a/(a**(5/6)*a)*a)*a**(6/13)*a*((a**(-5)*a*a)/a)/(a/(a*a**(6/11)*a)))**(-1/43) assuming a is positive.
a**(-721/36894)
Simplify (b**10/(b/(b*b**(-21/2)))*b**(-6/7)*b*b*b*b/(b/b**8))**(3/4) assuming b is positive.
b**(405/56)
Simplify ((k*((k*k**(-13))/k)/k)/((k/k**(-18))/k)*k/k**23*k**(-2/3))**44 assuming k is positive.
k**(-7084/3)
Simplify ((c**(-2/7)/c**7)/((c/((c/c**0)/c))/c*c*c*c*c*c**(-4/7)))/(((c*c**(-4/11))/c)/(c*c**(1/3)))**45 assuming c is positive.
c**(5055/77)
Simplify (s**(-1/12)*s*s**(-21)*s**(1/4)/s*s/s**(-17))**36 assuming s is positive.
s**(-102)
Simplify (u*u/(u/(u**1/u))*u*u*u*u**(-3/8)*u*(u**(-7)/u)/u**(-1/4))/(u*u**(1/7)*u*u*u*u*(((u**1*u)/u)/u)/u)**(-5/7) assuming u is positive.
u**(-65/392)
Simplify ((s*s**(-2/15)*s*s/(s/s**(-6))*s)/(s**0)**(-17))/(s**(-2/17)/((s**(-2)/s)/s)*s*s/(s/(s*s/s**(-2/3)))*s*s**4*s) assuming s is positive.
s**(-1418/85)
Simplify q**(-8)/(q/q**5)*q/q**(-2/13)*q/q**(1/2)*((q/(q/(q*q**(-6)))*q)/(q*q*q**7*q))/(q/(q*q*q*q**(1/3)*q))**(-18) assuming q is positive.
q**(-1985/26)
Simplify ((y*y**0*y)**(-34))**(-3/2)*(y*y*y*y*y*y**(-6)*y*y*y*y)/y*y**(-2/5)*(y/y**0)**(-30/7) assuming y is positive.
y**(3476/35)
Simplify ((s/(s/(s/s**(-1))))**(-14/5))**(-35)*(s**(2/7)/s**(1/3))**(-30) assuming s is positive.
s**(1382/7)
Simplify (((g*g*g*g/(g/(g**(-3)*g)*g*g)*g**6)**50)**(-31))**(-2/21) assuming g is positive.
g**(15500/21)
Simplify (s/((s*s**(-2/11))/s)*s/s**(1/3)*(s*s/(s**(-3/8)/s))**3)**(-1) assuming s is positive.
s**(-3161/264)
Simplify (((k**(-16)*k)/k*k)**8*(((k**8/k)/k)/k)**(-42))**(-27) assuming k is positive.
k**8910
Simplify v**(-8)*v**(1/17)*v**(-10)/v**(-7/10) assuming v is positive.
v**(-2931/170)
Simplify ((q**1)**(7/6))**(-14/9)/(q*q**5*q**(2/7))**(12/17) assuming q is positive.
q**(-20087/3213)
Simplify ((q**(-1/2)*q)**26)**(-4)*(q**0*q)**10*q*(q/(q*((q/q**(-4))/q)/q*q))/q*q**(1/9) assuming q is positive.
q**(-413/9)
Simplify ((((l**9/l)/l**(-7/3))**33)**(-2/81))**18 assuming l is positive.
l**(-1364/9)
Simplify (o**8*o/(o*o/((o/o**(-5))/o))*o)**(-11)/(((o/o**1)/o)**(22/3)/(o**(-1))**(1/43)) assuming o is positive.
o**(-17504/129)
Simplify (((g*g**(2/3))**11*(g*(g**(-2)*g*g)/g*g)**(-17/3))**(-3/26))**(-1/21) assuming g is positive.
g**(19/273)
Simplify (((u**(1/31)/u)/(u**18*u))/(u/(u*u/u**3*u*u)*(u*u/(u**(11/5)/u))/u))**(2/7) assuming u is positive.
u**(-6128/1085)
Simplify (((o*o**(-29))/o*o**(1/7))**31)**(-1/27) assuming o is positive.
o**(6262/189)
Simplify (f*f/f**34)**(-1/3)/(f*f/(f/((f*f*f*f**(-11/6)*f)/f*f))*f*f**27) assuming f is positive.
f**(-41/2)
Simplify ((h**(-7)*h)/(h*h**4))/(h*h/(h*(h*h/(h**(-2/3)/h))/h)*h**(1/13))*h**9/h**(1/10)*(h*h*h*h**(-1/4)*h)**9 assuming h is positive.
h**(25927/780)
Simplify (((g/g**(-14))/(((g**34*g*g)/g)/g))/((g/(g**(-5)/g)*g*g)/g)**12)**(4/25) assuming g is positive.
g**(-92/5)
Simplify i**(-2/5)*i**(-3)*(i*i**1/i)**34*(i**(-1/3)*i)**(-1/35)/((i/(i/(i**(-1/2)/i*i)))/(i/(i*i**(-3))*i)) assuming i is positive.
i**(7367/210)
Simplify (((t*t*t*(t*t**2)/t)/t*t*t*t*t*t**0)/((t/((t*t*t**(-2/7))/t))/t**(-3)))/(t**(1/2)/t*((t/(t/(t*(t*t**7)/t)*t))/t*t)/t)**(2/25) assuming t is positive.
t**(748/175)
Simplify (((b/(b**(5/2)/b*b))/(b/b**(2/7)*b))/(b**1/(b*b/b**1)))/(b/(b/(b/b**6))*b**(-5)*(b**(-1/2)/b)/b**(-2)) assuming b is positive.
b**(44/7)
Simplify ((i*i**0)**16/((i*i/i**(-9/5))/(i/(i/(i**(-18)*i))*i)))**(-29) assuming i is positive.
i**(551/5)
Simplify (((o*o**3*o*o)/o)/(o**(-1/10)/o)*o**(-5/2)/o**(-3/5))/((o*(o*o**(2/5)
|
{
"pile_set_name": "DM Mathematics"
}
|
-u*i, 2*i + l + 9 = 6*i for i.
1
Let r = 10 + -10. Suppose 7*f + r = 28. Solve -4*l + 3*l - 21 = -4*x, -f*l = -x + 24 for l.
-5
Suppose -5*a + 75 = -5*p, -33 = -a + 4*p - 6. Suppose -203 + a = -8*w. Solve -d + w = 5*j - 0*d, -3*d - 18 = -3*j for j.
5
Suppose 30 = -2*s + 36. Suppose s*l + h = 62, -46 = 4*l + 5*h - 147. Solve 0 = -0*c - 4*c - 3*v + l, v - 8 = -3*c for c.
1
Suppose -9 = -5*q + 91. Suppose -5 - 10 = -p. Let b(a) = -a**2 + 16*a - 10. Let y be b(p). Solve 3*w + 4*o - 12 = 0, y*w - 4*o = -0*w + q for w.
4
Suppose n - 7 + 5 = 0. Let a be 5 - n - (1 - 2). Suppose 0 = 5*v - 2*j, -a*v = v + 4*j. Solve -2*o - s = v, -18 = o - 2*o - 5*s for o.
-2
Let z = -1405 + 1407. Solve 5*h = 3*t + 8, 0 = 4*h + 2*t + z*t - 32 for h.
4
Suppose 3*m = -183 + 54. Let s = -40 - m. Solve r - 4*h + 9 + s = 0, 2*h - 20 = 4*r for r.
-4
Let i(t) = t + 2. Let o be i(5). Suppose -l = o*l. Solve -2*r + l*r + 10 = -d, -5*r = -25 for d.
0
Let p = 11 + -7. Suppose -10 = -2*z - 4*s, 4*z + 0*s = s + 20. Suppose 4 = z*g - p*g. Solve 2 = -g*u - x + 18, -5*x + 20 = 0 for u.
3
Suppose b = 3*a - 8, -3 = -a - 0. Solve 5*m = -4*f + 1, 2*f - m + 4*m = -b for f.
4
Suppose 22 = -3*r + t + 64, -4*t + 42 = 3*r. Solve a = 3*p + r - 5, -5 = -3*a - 2*p for a.
3
Let g be (3*5/(-15))/2*-18. Solve -4*k - 4 = 0, -k - 12 - g = 4*s for s.
-5
Suppose -4*l - 5*v + 4*v + 24 = 0, -5*l + 45 = 5*v. Solve 0 = -5*a + 10, -14 - 6 = -2*k - l*a for k.
5
Suppose b + 2 = 0, -4*b = -5*f - 98 + 576. Suppose m + f - 94 = 0. Solve -3*j - 2*k - 19 = m, -j + 4*k + 14 = j for j.
-3
Let q(j) = j**2 + 12*j + 7. Let w = 36 - 47. Let p be q(w). Let z be 1/p - (-3)/12. Solve -5*t - k + 0 - 7 = z, t + 2*k = 4 for t.
-2
Suppose 27 = 2*w + 21. Solve 2*y = w*i - 2*i - 6, 3*y + 9 = 3*i for i.
0
Suppose 4*b + 10 = 26. Suppose 6*f + 699 - 729 = 0. Solve f*m + 26 = 3*g, 9*m - b*m = -5*g - 10 for m.
-4
Suppose -3*r = y + 9, 3*y + 15 = -4*r - 2*r. Solve -4*a = -8, -v + 2*a - 12 = -y*a for v.
-2
Suppose 946 = -11*y + 54*y. Solve -2*j + 14 = 2*p, j + 4*p = -3 + y for j.
3
Let q(i) = -2*i**2 + 8*i + 4. Let y be q(4). Solve 3*t + 20 = -n + 6, t - 17 = y*n for t.
-3
Let x = -2 - -4. Let r be (16/(-18))/((528/108)/(-22)). Solve -3*g + 5*w + 10 = x*g, r*g + 3*w + 27 = 0 for g.
-3
Let a = 24 - 21. Suppose -5*c + o - 4 + 15 = 0, 3*c = -3*o + a. Let l(z) = 3*z**2 - 2*z - 2. Let u be l(c). Solve 5*t + y = 3*t + u, -3*t + 2*y - 5 = 0 for t.
1
Let q = -259 + 299. Suppose 0*h - 2 = -h. Solve 5*r - q = -5*n, -6*r = -n - h*r - 12 for n.
4
Let v(y) = -3*y + 12. Let r(m) = -7*m + 23. Let h(n) = 2*r(n) - 5*v(n). Let i be h(-8). Let l be 6/33 + (-40)/i. Solve -d + l*w + 4 = -0*w, 0 = w for d.
4
Suppose 2 = -8*t + 9*t. Suppose -2*l + t = o, -l - 4*o + 0*o = 13. Solve 2*s = -3*u - 22, -s - 10 = 5*u - l*s for u.
-4
Suppose 3*j - 4*t + 56 = 0, 0 = 4*j - 6*t + t + 75. Let r be (-5)/j*16/6*3. Solve -5*f = -r*z + 7, 4*z + 8*f - 3*f = -31 for z.
-4
Suppose 0 = 538*q - 532*q. Solve h - 4 = -p, 3*p + 2*h - 2 - 8 = q for p.
2
Let d be -5*(144/(-40) - -3). Solve 0*k - 4 = -5*m - k, -d*m - 5*k = 2 for m.
1
Let l be 2*-1*1/(-1)*2. Solve -5*n + l = -m - 4*n, -16 = -m - 4*n for m.
0
Suppose 40 = 4*z + 32. Solve -z*m = -4*g + 18, -5*g + 21 = -5*m - 4 for m.
-1
Let h = 335 + -332. Solve -2 - 6 = -k - h*w, -w + 2 = 0 for k.
2
Let o be (-34)/12 + (-5)/30. Let l(m) = -m**2 + 2*m - 4. Let u be l(o). Let f = 37 + u. Solve k + k - 4*j = -f, -2*j = -6 for k.
-3
Suppose 0 = -n - 5*d + 8, -2*d = -3*n - 1 + 8. Let m be (-3)/3 + 11 + n. Solve 3*v - m = -v - 5*j, 0 = v - 3*j + 18 for v.
-3
Suppose 24 = 4*v + 4*u, -v - 4*u = -6*v + 12. Solve -s - 3*s - v*g - 24 = 0, s + 3*g = -16 for s.
-1
Let c be (32/3 - 4) + (-6)/9. Solve y = -3*o + 2*y - 1, 0 = -2*o + 4*y + c for o.
-1
Suppose d = -6*d + 70. Suppose 15 = 15*q - d*q. Solve -r - 3*r - q*n + 19 = 0, 0 = -5*n + 5 for r.
4
Let n = 58 - 49. Suppose -n*d = -31*d + 88. Suppose -1 = -5*l + 4*a + 2, 0 = -2*l - 2*a + 12. Solve 0 = d*r + r - l*m, -r + 5*m = 0 for r.
0
Let x be 2/(-5) + (-268)/5. Let n = -19 - x. Let d = n + -30. Solve d*o + 4*l + 3 + 6 = 0, 3*o - 3*l = 0 for o.
-1
Suppose -29*x = -34*x + 25. Suppose 0 = -x*u + f + 14, -f = -2 + 6. Solve -2*j + 4*z = -5*j - 20, 0 = -u*j - 2*z - 12 for j.
-4
Suppose 2*a = -3*z + 23, -2*a - 24 = -2*z - 22. Solve -3*k = 2*x + x - 21, a*x = -5*k + 30 for k.
2
Let m(c) = 5*c**2 - 32*c - 11. Let l be m(7). Solve -4*x + 5*z = 16, -5*x + 2*z - 10 = l for x.
-4
Suppose c = -0*a - a, 2 = -c - 2*a. Let d be (-171)/(-38)*(-4)/(-3). Suppose 5*o + 12 = d*o. Solve -o = -c*z + q, q + 4 = 3*z + 3*q for z.
4
Let c = -140 - -145. Let w = 0 - 0. Solve 5*b + 15 = i + 4*i, c*b - i + 15 = w for b.
-3
Let g be (1*(-8)/(-12))/(12/54). Solve -4*j - 2 + 6 = 4*m, g = 5*j + 4*m for j.
-1
Suppose b - 64 = -3*b. Suppose 3*g + 2*q = 5*g + 2, -b = -5*g - 2*q. Suppose 0 = 32*a - 34*a. Solve 4*m + 3*p - 3 + 7 = a, g*m + p = 0 for m.
2
Let y be (8/(-28))/((-18)/126). Solve -4*p + 2*p + 3*c = -3, -2*c = y for p.
0
Suppose 5*k - k = -2*r, 3*k = -r + 2. Suppose -5*q + 3*q = -k. Suppose h + 3*v = -q, -5 = h - 0*h + 5*v. Solve -6 = -u - h*w + 12, u + 18 = 4*w for u.
-2
Let a be 24/28*(-14)/(-4). Suppose 0*k = -k - 2*m - 7, a*k = m + 14. Solve -k*d - 3 = 3*l, d - 3*d = l for l.
-2
Suppose -5*c = -4*b + 38, 2 = -c - b - 2. Let x be ((-4)/(-6))/((-2)/c). Solve -3*o = -2 + 5, 5 = -a - x*o for a.
-3
Suppose 36*l = 401 - 41. Solve 3*s + 2*w - 2 = 0, s + w + l = 12 for s.
-2
Let h be 20/(-70) + 542/(-14). Let a = h - -79. Solve 2*w - 1 = -s, -w - 5*s = -6*w + a for w.
3
Suppose -2*m + a + 5 = -1, 2*a = -3*m + 23. Solve 3*y - g + m = 0, -5*y - 2*g = -12 + 35 for y.
-3
Suppose 53*t + 315 = 68*t. Solve 2*w + t = 3*j, -j - 2 + 1 = 2*w for w.
-3
Suppose -2*v - 2 = 3*p, -5*p + 0 = 2*v - 2. Let g be 9 + -24 + (p - -1). Let i = -11 - g. Solve -1 = 4*x - r + i, r = 2*x for x.
-1
Let n = 89 + -84. Solve -2*q - 5 = 3*u, 5*q - n*u + 0*u = 0 for q.
-1
Let m = -60 + 99. Let r = m + -29. Let t = -4 + 7. Solve -r = -3*p - 0*v + v, t*p - 18 = 3*v for p.
2
Let s be (-2)/4 - (-3)/2. Let v be 1 + 0 + 0 + s. Suppose -2*g = 2*o - g - 9, v*o + 2*g = 14. Solve 2*k + 3 = c + 5*k, -o = 3*c - 2*k for c.
0
Suppose 10 = -4*x + 6*x. Suppose -x*g + 26 = 6. Solve -2*j + 4 = -2*a - 0, g*j = 2*a + 2 for a.
-3
Suppose -29*u - 20 = -78. Solve -5*j - 20 = z, u*j + z = -5 - 3 for j.
-4
Suppose 5 - 81 = -4*i - 2*s, 4*i = 5*s + 90. Let p = -17 + i. Suppose -k + 34 = k - p*f, 2*k - 10 = -3*f. Solve 0 = h - 5*l + 6, k = 2*h + l + 1 for h.
4
Let r(h) = -h + 6. Let w be r(8). Let d = w - -5. Suppose -2*i = -2*u - 7 - 3, 4*i = -d*u + 20. Solve -11 = -i*y + 2*p, -14 = 4*p - 2 for y.
1
Suppose 7*w - 6*w = 2. Suppose 2*a - 18 = w*u, 6*a = 3*a + 9. Let v = -4 - u. Solve i - 5 = -4*k - 0, 0 = -v*i + 4*k + 10 for i.
5
Let p(h) = -14*h - 511. Let f be p(-37). Solve -4*i - 17 = 5*o, -i + 3*o = -5*i - f for i.
2
Suppose 0 = 5*t - 10 + 35. Let c = -5 - t. Suppose -2*n - 2*n + 12 = c. Solve -z = n*l + 4, -14 = -3*z - z + 3*l for z.
2
Let d = -11 + -23. Let g = d + 44. Solve z = -3*o - g, -4*o = z + z + 12 for o.
-4
Let g(i) = -i**3 - 5*i**2 + 20*i + 78. Let p be g(-3). Solve 0*a = -2*a + 4*x + 8, a + x + 5 = p for a.
-2
Let h be -4*(-1 - 5/(-10)). Solve h*o + 5*g = -27, 2*o - 7 = -3*g - 24 for o.
-1
Let o(z) = -z**2 + 6*z - 9. Let a be o(8). Let n be (-10)/a - 6/15. Let y be -1 + -1 + 6 + n. Solve -4*d + 4*v = -y, d - v = 3*d + 4 for d.
-1
Suppose g - 9 = -8. Suppose -4*t = 7 - 19. Solve t*m = 2*k - 16, 5*k + 3*m - g = -3 for k.
2
Suppose -7*k = -0 - 14. Suppose 2 = a - 3*a - 3*y, -4 = -k*y. Let o be 2 + 7/((-14)/a). Solve 4*t - o = 3*w, -2*t - 3*t + 12 = -2*w for w.
4
Suppose -q - 3*o - 4 = 0, 0 = 2*q - 3*o + o - 8. Suppose -4 - 1 = -q*r + 3*f, -4*r = -f - 5. Solve -4*u = -n - r, 7*n = 4*n - 3*u + 12 for n.
3
Let f(r) = 11 + 6 + 73*r - 72*r. Let j be f(-17). Solve j = 5*l + 2*z - 3*z - 30, -5*l - z = -20 for l.
5
Let o(z) = -4*z - 17. Let v be o(-5). Suppose -6*w + 10 - 4 = 0. Solve k = w, -s - v*k + 6 = -k for s.
4
Suppose -97*q + 99*q = -3*i + 61, 5*i + 133 = 4*q. Solve -q*x - 21 = -3*t - 28*x, -5*t - x + 12 = 0 for t.
3
Let i be 14/3 - (-6)/(-9). Let f = 1496 - 1477. Let u be f/i - 3/(-12). Solve u*y + v + 13 = 0, 2*v = 5*y - v + 1 for y.
-2
Suppose l + l + 4*y = 14, -5*y = l
|
{
"pile_set_name": "DM Mathematics"
}
|
5400.
91800
Find the common denominator of 61/30175 and -89/8.
241400
What is the lowest common multiple of 648 and 34?
11016
Calculate the smallest common multiple of 45528 and 16.
91056
Calculate the lowest common multiple of 656 and 47988.
7870032
Calculate the lowest common multiple of 4062 and 13540.
40620
Find the common denominator of -97/24 and 81/14.
168
Find the common denominator of -47/7700 and 61/1120.
61600
What is the common denominator of 123/80 and -73/29700?
118800
Calculate the least common multiple of 205 and 3290.
134890
Calculate the smallest common multiple of 175540 and 5764.
1930940
Calculate the lowest common multiple of 38274 and 25516.
76548
What is the smallest common multiple of 13620 and 180?
40860
What is the common denominator of 63/10 and 43/2934?
14670
Calculate the least common multiple of 2530 and 2300.
25300
What is the common denominator of -61/3224 and 59/4030?
16120
What is the common denominator of 191/1590 and 187/3600?
190800
What is the smallest common multiple of 822848 and 5152?
5759936
Calculate the lowest common multiple of 18 and 34317.
68634
What is the smallest common multiple of 9714 and 4857?
9714
Calculate the common denominator of 1/60848 and 59/273816.
547632
Find the common denominator of 47/31980 and 31/2340.
95940
What is the smallest common multiple of 87754 and 36312?
1053048
Calculate the smallest common multiple of 900 and 900.
900
Find the common denominator of 53/9655 and -163/57930.
57930
Find the common denominator of 103/300 and -79/468.
11700
What is the least common multiple of 3672 and 476?
25704
What is the lowest common multiple of 17743 and 352?
567776
What is the smallest common multiple of 10 and 1684915?
3369830
Calculate the common denominator of -41/88284 and -131/252.
264852
What is the least common multiple of 5010 and 11040?
1843680
Calculate the common denominator of 83/19410 and 79/336.
1086960
What is the common denominator of 145/55062 and 29/166152?
9470664
Calculate the smallest common multiple of 952 and 80.
9520
What is the smallest common multiple of 7480 and 74800?
74800
Calculate the common denominator of 97/106866 and -73/39.
1389258
What is the least common multiple of 126 and 79848?
558936
Find the common denominator of -123/20 and -61/234340.
234340
Calculate the least common multiple of 590 and 12567.
125670
Find the common denominator of 25/37587 and -11/34170.
375870
Calculate the common denominator of 43/19242 and 2/35277.
211662
Find the common denominator of -71/15 and 13/10160.
30480
Find the common denominator of 143/58140 and 91/1710.
58140
What is the common denominator of -9/85888 and -11/218624?
2404864
What is the smallest common multiple of 716 and 44?
7876
What is the least common multiple of 230 and 22304?
2564960
Find the common denominator of 4/12249 and 155/2972424.
8917272
What is the smallest common multiple of 69714 and 61968?
557712
Find the common denominator of -13/504 and 9/2527.
181944
Calculate the common denominator of -19/7578 and -38/5.
37890
Calculate the smallest common multiple of 12237 and 24474.
24474
What is the common denominator of -40/16119 and 23/243?
48357
What is the smallest common multiple of 568 and 98477?
787816
Find the common denominator of -111/42160 and -13/120.
126480
What is the least common multiple of 100164 and 30?
500820
What is the common denominator of -17/331661 and -103/176?
5306576
What is the smallest common multiple of 5496 and 6412?
38472
Calculate the common denominator of -47/31488 and -5/614016.
1228032
Find the common denominator of 143/3531210 and -71/8.
14124840
Calculate the smallest common multiple of 11045 and 310.
684790
Find the common denominator of -157/3906 and 163/6048.
187488
What is the least common multiple of 29188 and 8?
58376
Calculate the common denominator of -73/12820 and 28/55767.
1115340
What is the lowest common multiple of 304179 and 405572?
1216716
Calculate the smallest common multiple of 77 and 3507.
38577
What is the least common multiple of 170 and 149736?
748680
Find the common denominator of -173/1230 and -26/155.
38130
Find the common denominator of -23/11 and -43/157112.
1728232
Calculate the common denominator of -145/6 and 45/2026.
6078
What is the smallest common multiple of 6971805 and 12?
27887220
Find the common denominator of -4/127853 and 3/2.
255706
What is the least common multiple of 1071 and 158814?
1111698
Calculate the lowest common multiple of 460 and 1716.
197340
Find the common denominator of 107/12 and -105/100738.
604428
Find the common denominator of -50/105491 and -68/9.
949419
Calculate the lowest common multiple of 6442 and 8.
25768
What is the common denominator of 115/2716 and 31/14?
2716
Calculate the least common multiple of 2491988 and 18.
22427892
Find the common denominator of 98/765 and -37/312290.
2810610
Calculate the least common multiple of 60166 and 3143.
421162
Calculate the lowest common multiple of 20352 and 576.
61056
Find the common denominator of 73/312 and 68/606177.
4849416
What is the lowest common multiple of 32 and 19888?
39776
What is the common denominator of -107/14060 and -21/4736?
449920
Calculate the common denominator of 74/162987 and -76/3993.
1792857
Calculate the least common multiple of 342790 and 12.
2056740
Calculate the smallest common multiple of 70632 and 522.
2048328
What is the common denominator of -121/204 and 53/501279?
2005116
Calculate the common denominator of -157/66 and -115/22728.
250008
Calculate the common denominator of 13/1308 and 117/38150.
228900
Calculate the common denominator of -107/1334 and -33/18560.
426880
What is the smallest common multiple of 600 and 36?
1800
Calculate the lowest common multiple of 2 and 661.
1322
Calculate the smallest common multiple of 5 and 315.
315
Calculate the least common multiple of 150 and 9640.
144600
Calculate the least common multiple of 16044 and 45840.
320880
Find the common denominator of -23/40 and 21/93815.
750520
What is the common denominator of 89/396 and 123/78232?
704088
What is the lowest common multiple of 3460 and 318?
550140
Calculate the lowest common multiple of 546264 and 91044.
546264
What is the common denominator of -17/4090 and 79/168508?
842540
What is the common denominator of -47/856100 and -107/308?
9417100
Find the common denominator of -29/832275 and 79/315.
5825925
Find the common denominator of -67/45408 and 53/1914.
1316832
Calculate the lowest common multiple of 123 and 42384.
1737744
What is the least common multiple of 435080 and 217540?
435080
Calculate the lowest common multiple of 47488 and 16.
47488
Calculate the common denominator of 71/279906 and 31/16964.
559812
What is the least common multiple of 2868 and 8126?
48756
What is the smallest common multiple of 392150 and 7590?
1176450
Calculate the smallest common multiple of 9 and 105564.
316692
What is the smallest common multiple of 51108 and 63885?
255540
Calculate the lowest common multiple of 2277 and 18216.
18216
Find the common denominator of -149/18156 and -19/459.
163404
What is the lowest common multiple of 6 and 7914?
7914
Calculate the lowest common multiple of 36 and 120.
360
What is the least common multiple of 15834 and 392?
443352
What is the common denominator of -83/3770 and -77/6032?
30160
Calculate the common denominator of -37/16696 and 29/8348.
16696
What is the smallest common multiple of 549 and 54?
3294
What is the smallest common multiple of 20960 and 73360?
146720
Find the common denominator of -113/23680 and -23/444.
71040
Find the common denominator of 29/32 and 27/21986.
351776
Calculate the least common multiple of 1029000 and 1050.
1029000
Calculate the lowest common multiple of 6958 and 2272.
111328
Find the common denominator of 59/27130 and 73/150.
406950
What is the smallest common multiple of 47202 and 102?
802434
Find the common denominator of -83/12480 and -62/195.
12480
Calculate the smallest common multiple of 5334 and 33.
58674
Calculate the smallest common multiple of 37696 and 61256.
490048
What is the common denominator of -97/24900 and 91/108?
224100
What is the smallest common multiple of 3687 and 13?
47931
What is the common denominator of -105/17732 and -73/3432?
106392
Calculate the low
|
{
"pile_set_name": "DM Mathematics"
}
|
- i = -5*a. Does 12 divide a?
False
Is 4 a factor of 6/(-4) - 238995/(-226)?
True
Let l = -12 - -6. Does 30 divide ((-4)/l)/(8/1332)?
False
Suppose 0 = 7*i - 11886 - 6930. Is 32 a factor of i?
True
Let b be (-4 + 1)*44/(-12). Let t(q) = -5*q + 0 + 1 - b. Does 5 divide t(-7)?
True
Let t = 16 - -58. Suppose 0 = 3*b - 121 - t. Is b a multiple of 12?
False
Let j(n) = 24*n + 2. Let x be 7 + (0 - 2/1). Suppose 7 = x*v + 2*v. Does 13 divide j(v)?
True
Let b(y) = -y**3 - 4*y**2 + 5*y - 48. Is b(-8) a multiple of 14?
True
Let q be (-994)/49 + (-4)/(-14). Let f = q + 20. Suppose 0 = -f*p + 4*p - 176. Is p a multiple of 11?
True
Let f be (-20)/(-3*(-2)/(-3)). Let m be (f/(-4))/(4/(-8)). Is 13 a factor of 192/m + 12/20?
True
Let t be (-2)/(-8) - (-1541)/92. Let i = 17 - t. Let m(n) = 3*n + 54. Is 18 a factor of m(i)?
True
Suppose -2*s + s - 5*n = 18, -10 = -3*s + n. Suppose -158 = -3*i + s*g, -i + 62 = -4*g + g. Does 10 divide i?
True
Is (14 - 18) + 1 + 338 a multiple of 29?
False
Suppose -5*d + 3*i = -29, 27 = 3*d - 0*i + 3*i. Let v(l) = -4*l**2 + 5*l + 7. Let k(u) = -3*u**2 + 4*u + 7. Let z(a) = -3*k(a) + 2*v(a). Does 6 divide z(d)?
False
Suppose -6*b + 3*b + 144 = 0. Suppose b = 5*n - 67. Is n a multiple of 7?
False
Suppose -114 = -5*o - 14*o. Suppose -o*z - 2*y = -3*z - 580, 4 = 2*y. Is 15 a factor of z?
False
Let k(d) = -d**3 - 17*d**2 - d - 18. Let y be k(-17). Let i(r) be the first derivative of -30*r**2 - 3. Is 20 a factor of i(y)?
True
Let v be (-3 + -3)/((-2)/1). Let m = v + -3. Suppose 112 = k + 2*k - 5*o, -2*k + 5*o + 73 = m. Is k a multiple of 13?
True
Let a(v) be the third derivative of v**6/120 + 7*v**5/60 - v**4/8 + v**3/6 - 2*v**2. Is a(-7) a multiple of 11?
True
Let v(t) = -60*t - 5. Let b be v(-10). Let q = -1125 + b. Does 22 divide q/(-8) - (-2)/(-8)?
True
Let v(u) = -u + 3. Let n be v(0). Suppose 5*o + 3*c = 31, -4*o = n*c + 5 - 31. Suppose 0 = z - o*k - 19 - 21, 0 = 3*z - k - 134. Is 15 a factor of z?
True
Suppose 0 = 3*m - 6*m. Let l be (m - 0 - 2) + -40. Let s = l + 85. Does 23 divide s?
False
Let x = 3 - 1. Suppose 5*t + 4*g + 4 = 2, -x*t + 16 = -4*g. Is (7/2)/(1/t) a multiple of 7?
True
Let b(i) = 108*i**2 - 2. Let c be b(-1). Let p = -42 + c. Does 20 divide p?
False
Let g be 6/(2 - 10/4). Let v be (4 + 3 + -2)*g. Is 66*(-5)/(v/8) a multiple of 14?
False
Suppose -2*v - 172 = -h, -2*h - 5*v + 3*v + 314 = 0. Is 13 a factor of h?
False
Let w(y) = -21*y**2 - y + 3. Let h be w(-5). Let n = -366 - h. Is 18 a factor of n?
False
Let q = 1013 - 275. Is 18 a factor of q?
True
Let y(g) = 13*g**3 - 10*g**2 - 2*g + 3. Does 40 divide y(5)?
False
Let d(w) = w - 3. Let a be d(-7). Let t(f) = f**3 + 10*f**2 - 15*f - 3. Let y be t(a). Suppose 3*m - 69 = y. Is 12 a factor of m?
True
Let g = 33 - 17. Let f = -11 + g. Is 18*f*(-2)/(-5) a multiple of 25?
False
Let w be (-4081)/(-21) + -5 + 2/(-6). Suppose 0 = 4*l - 4*j - 456, -l - 2*j = -w + 75. Is l a multiple of 19?
True
Let z(i) = 4*i**2 + 21*i + 21. Let d be 18/(-3 + -2 + 3). Does 45 divide z(d)?
False
Suppose 0 = -z - 31 + 1. Let s(d) = -6*d - 20. Let q be s(11). Let v = z - q. Is 16 a factor of v?
False
Let j = -1 + 2. Let a(n) = -43*n + 5. Let y(z) = -43*z + 8. Let b(g) = -3*a(g) + 2*y(g). Is 17 a factor of b(j)?
False
Let n(w) = -175*w. Does 59 divide n(-2)?
False
Let l = 11 + -7. Let o(x) = -3*x**2 - 2*x. Let d be o(l). Let c = d - -78. Does 6 divide c?
False
Suppose -b + 3 = -g, -15 = 5*b - 0. Let l(r) = -r**3 - 4*r**2 + 9*r + 9. Is 4 a factor of l(g)?
False
Let k(v) = 5*v**2 - 28*v - 16. Is k(-13) a multiple of 17?
False
Let i(s) = 2*s**3 - 3*s - 2. Let h be i(-2). Let x be 18/(-4)*h/(-18). Does 11 divide x/(4/(264/(-9)))?
True
Suppose 6*w - 57 = w + 4*g, 42 = 5*w + g. Suppose w = 2*s + s. Does 2 divide s?
False
Is 41 a factor of 7 - -7*74 - -8?
True
Suppose 68*m = 65*m + 6. Suppose 3*v - 5 - 1 = 0. Suppose m*t + v*t = 144. Is t a multiple of 17?
False
Suppose 5*f + 2*a + 10 = -31, 23 = -2*f - 3*a. Let d = 12 + f. Let p = 3 + d. Does 4 divide p?
True
Let n(h) = -2*h - 1. Let j be n(-2). Let s = 13 - j. Suppose 3*w - 4*w + s = 0. Is w a multiple of 3?
False
Let z = 12 - -13. Let o(u) = -25 - 19 + z - 16*u - u**2. Does 3 divide o(-14)?
True
Suppose 6 - 14 = -4*v. Suppose 0 = 5*d - m - 0*m - 24, v*m = -d + 7. Suppose -3*f - 40 = -d*f. Is f a multiple of 5?
True
Suppose 12*u - 21 = 5*u. Suppose 229 = u*k + s, 8 = s + 10. Is k a multiple of 11?
True
Let h(r) = 371*r**2 + 10*r - 40. Let j be h(4). Is j/42 + 2/3 - -2 a multiple of 16?
True
Suppose -36*x + 80 = -34*x. Suppose -31 + 6 = -5*n. Suppose 4*r = n*f + 135, 5*f - x + 0 = -r. Is r a multiple of 20?
False
Let t = 8 + 20. Suppose -3*z - 1 = -2*z, 0 = 5*n - 3*z - t. Suppose 2*s - 52 = -2*q + 16, -n*q + 4*s + 152 = 0. Is q a multiple of 8?
True
Let t = 219 - -81. Is t a multiple of 5?
True
Let w be 2/14 - (-54)/14. Suppose 1 = 5*p - 9, -4*p + 8 = w*v. Let y(r) = -r**2 + 30. Is 11 a factor of y(v)?
False
Let n(h) = h**3 - 4*h**2 - h - 1. Let i be n(4). Let y(z) = 4*z + 6. Let d be y(i). Does 7 divide 4/d + 306/42?
True
Does 22 divide (2 + -1)/(47/14006)?
False
Suppose 0 = 4*j + 21*j. Suppose 4*l - 12 = -0. Suppose l*t - 34 - 11 = j. Does 13 divide t?
False
Let j(u) = u**3 + 17*u**2 + 6*u - 31. Is j(-15) a multiple of 10?
False
Suppose 212*y - 800 = 210*y. Does 13 divide y?
False
Does 5 divide 7/2 + (-1119)/(-6)?
True
Suppose 2*b + 114 = -2*n, -2*b = b + 15. Let m = 87 + n. Does 7 divide m?
True
Let c(p) = -p - 2. Let d be c(4). Let r(j) = -j + 8. Is r(d) a multiple of 4?
False
Does 58 divide 1 + 1623 + 0/(-91)?
True
Let m be (-2)/(-3)*-3*-1. Let r(d) = 8*d**2 - 3 + 3*d + m + 2*d - 4*d. Is r(1) a multiple of 2?
True
Let p be (1/(-2))/(4/48). Let k = p - 3. Let z = 15 + k. Is 3 a factor of z?
True
Let d(n) = n**3 - n**2 + n + 247. Let w be d(0). Let h = -147 + w. Is h a multiple of 20?
True
Suppose 0*w = 22*w - 53592. Is 87 a factor of w?
True
Let t be 155/(-25) + (-1)/(-5)*1. Let q(u) = -5*u - 10. Is 20 a factor of q(t)?
True
Suppose -17*d - 21 - 693 = 0. Is 14 a factor of 3*((-6)/21 - 2168/d)?
True
Let v = -6 - 0. Let a = 22 + v. Is 7 a factor of 3 - (-3 - a - -1)?
True
Let v = 35 + -24. Let p be (0 - 21) + (v - 8). Let i = 1 - p. Is 14 a factor of i?
False
Let h(f) = 82 - 5*f**3 - 5*f - 5*f**2 - 38 - 40. Does 2 divide h(-2)?
True
Let q(b) = 58*b**3 - 1. Let r(p) = p**2 + 11*p - 11. Let n be r(-12). Is q(n) a multiple of 11?
False
Suppose 0 = -14*i + 2606 - 170. Does 45 divide i?
False
Suppose -33*q + 124184 = 5*q. Is q a multiple of 19?
True
Let c be -6*40/(-12) - -3. Suppose -5*g = -17 + 2, -5*j + c = -4*g. Let r = j - -11. Does 6 divide r?
True
Suppose -11*y + 1035 = -6*y. Is y a multiple of 9?
True
Let k = 141 + 34. Is 22 a factor of k?
False
Suppose -4*x + g = -5645, 3*x = 27*g - 25*g + 4235. Is 40 a factor of x?
False
Suppose -4*u + 1071 = l + 77, -l + u + 989 = 0. Is 30 a factor of l?
True
Suppose 12*u - 12656 = -2456. Does 45 divide u?
False
Let b = -881 + 1237. Suppose 0*k = 2*k - b. Is k a multiple of 18?
False
Let o be -1*(-1 + -16 + 2). Let w = o - 9. Suppose -4*l + 14 = -k, -3*l - k = -2*l - w. Is l even?
True
Suppose 5*r = 20, -3*b = 5*r - 3*r - 224. Is b a multiple of 3?
True
Let h(u) = 0 + 2 + 11*u + 0*u. Suppose -20 = -4*k + 12. Does 18 divide h(k)?
True
Suppose 4959 = 9*s - 2277. Is 67 a factor of s?
True
Let o be (-56)/(-6)*(4 + 35). Suppose 5*k - 365 = -5*l, -l - o = -6*l - 4*k. Is l a multiple of 24?
True
Let g(f) = -f - 15. Let n be g(-11). Is 69*(-4 + (1 - n)) a multiple of 12?
False
Let y = 75 - 7. Is y a multiple of 12?
False
Suppose -f - 3*f + 2*a = 0, 0 = -2*f + 4*a. Suppose f = -3*g - 6, 5*g + 0*g + 73 = x. Suppose 0 = -d - 17 + x. Is 13 a factor of d?
False
Suppose -69 + 3 = -5*h + 3*y, 30 = 2*h - 3*y. Let p(c) = -c**2 + 17*c - 45. Is 15 a factor of p(h)?
True
Suppose -o + 2 = -0*o. Suppose 166 = o*l - 0*l. Is l a multiple of 12?
False
Let w(f) = -327*f + 9*f**2 + 325*f + 11*f**2. Is w(3) a multiple of 27?
False
Let k = -2991 + 3411. Does 60 divide k?
True
Suppose 2*c + 0 - 34 = 0. Suppose 15 = c*j - 16*j. Does 5 divide j?
True
Suppose 8*n = 12*n - 4704. Is 39 a factor of n?
False
Let d = -1996 - -2888. Is d a multiple of 44?
False
Suppose 5*t - 660 = -3*b, 0 = -5*t + 3*b - 84 + 744. Let d = -62 + t. Is 14 a fa
|
{
"pile_set_name": "DM Mathematics"
}
|
+ 26003*w**3 - 13*w**2 + 2*w**2.
1365*w**3
Collect the terms in -3*s**2 - 8*s**2 - 18*s**2 + 71*s**2 - 34*s**2 - 6*s**2.
2*s**2
Collect the terms in 29*q - 14*q - 15*q - 112229*q**3.
-112229*q**3
Collect the terms in -17*g**3 - 86*g**3 + g**2 - 333*g**3 - g**2 + 69*g**3.
-367*g**3
Collect the terms in 61043*z**2 + 26*z - 12*z - 14*z.
61043*z**2
Collect the terms in -22*h**2 - 259 + 56*h - 30*h**2 - 22*h**2 - 315 + 77*h**2.
3*h**2 + 56*h - 574
Collect the terms in -526*y**2 + 5907 + 6055 - 11962.
-526*y**2
Collect the terms in -3 + 9365*k + 3 - 1 + 1.
9365*k
Collect the terms in -9196079 - 2*o + 5*o - 4*o + 9196079 + 8*o.
7*o
Collect the terms in 2*o + 5*o + 105 + 8*o + 8*o - 112 - 41*o.
-18*o - 7
Collect the terms in -1213*w**3 + 2420*w**3 + 54*w - 1209*w**3.
-2*w**3 + 54*w
Collect the terms in -2305227*s**3 - 60102*s**3 + 146459*s**3 - 811173*s**3.
-3030043*s**3
Collect the terms in 62 + h**3 + 0*h**3 + 201 + 3258*h.
h**3 + 3258*h + 263
Collect the terms in 65692*m + 9 + 63 - 12 - 32848*m - 32845*m.
-m + 60
Collect the terms in -65 + 37 + 89*m - 47.
89*m - 75
Collect the terms in 2908 + 11*u**2 + 0*u - 4917 + 2009 + 0*u.
11*u**2
Collect the terms in -r**2 + 418 - 1572 - 82*r - 171*r - 2579.
-r**2 - 253*r - 3733
Collect the terms in 114990 - z + 114989 - 229979.
-z
Collect the terms in 1775 + 2510 - 5*w - 4288.
-5*w - 3
Collect the terms in 20533 - 34310 + 2*t + 13786.
2*t + 9
Collect the terms in -4*d - 36 + 2 + 4 + 15 + 7 + 0.
-4*d - 8
Collect the terms in -192335*u + 36*u**2 + 192335*u.
36*u**2
Collect the terms in 31 - 8432*p - 86 - 570*p**2 + 8432*p.
-570*p**2 - 55
Collect the terms in -246*x + 1618*x - 20 - 37871*x.
-36499*x - 20
Collect the terms in -27774346*w**2 + 15*w + 27773217*w**2 - 15*w.
-1129*w**2
Collect the terms in c**2 + 705 - 691 + 708 - 1430 - 2*c**2 + 708.
-c**2
Collect the terms in 1940*f + 54*f + 1818*f + 2055*f - 50*f.
5817*f
Collect the terms in -2098*m**2 + 257*m**2 + 27*m + 398*m**2 - 27*m - 2720*m**2.
-4163*m**2
Collect the terms in -2475949*h + 3 + 825316*h - 1 + 825317*h + 825321*h.
5*h + 2
Collect the terms in 3677 - 1398 - 25*q - 2279.
-25*q
Collect the terms in -63532*t**2 + 129268*t**2 - 65754*t**2.
-18*t**2
Collect the terms in -1977*l - 303600422 + 303600422.
-1977*l
Collect the terms in 2466*n**3 - 2627*n**2 + 1320*n**2 + 1332*n**2 - 687*n**3.
1779*n**3 + 25*n**2
Collect the terms in 1797107128921*v - 1797107128921*v - 8*v**3.
-8*v**3
Collect the terms in 617*f - 4 + 846*f + 8 - 1584*f.
-121*f + 4
Collect the terms in 269 + 0*u**3 - 11*u**3 + 10*u**3 + 484.
-u**3 + 753
Collect the terms in -17 + 0 + 15 + 20*k + 3*k + 130.
23*k + 128
Collect the terms in 5736*s + 2 - 12468*s + 5971*s.
-761*s + 2
Collect the terms in 5 + 259*i**3 + 109*i**3 - 523*i**3 - 1.
-155*i**3 + 4
Collect the terms in 893180053*k - 1786360116*k + 893180064*k.
k
Collect the terms in 1244 - 416 + 27494*y - 410 - 418.
27494*y
Collect the terms in 0*q**3 + q**3 - 64*q**2 - 24*q**2 + 17*q**2 - 54*q**2 - 16*q.
q**3 - 125*q**2 - 16*q
Collect the terms in 911760*d + 4 + 20107*d - 3 - 1.
931867*d
Collect the terms in -54*o**3 - 671 - 251 + 98*o**2 + 922.
-54*o**3 + 98*o**2
Collect the terms in -2080089402*y + 4160178806*y - 2080089408*y.
-4*y
Collect the terms in 1 - 1 - 1874992*b**3 + 1874511*b**3.
-481*b**3
Collect the terms in -826*x + 526*x + 91*x**3 + 98*x + 102*x - 100*x**3 + 100*x.
-9*x**3
Collect the terms in -15949*m**3 + 25051*m**3 - 3 + 3 - m.
9102*m**3 - m
Collect the terms in 12*g**2 + 95*g**3 - 25*g**2 + 13*g**2.
95*g**3
Collect the terms in 59428*z**3 - 22*z - 59374*z**3 + 22*z.
54*z**3
Collect the terms in 175*k**2 - 77*k**2 - 16 + 307*k**2 + 19 - 17*k**2.
388*k**2 + 3
Collect the terms in 29*k**2 + 21372*k + 11*k**2 - 21372*k - 52*k**2.
-12*k**2
Collect the terms in -599*t + 135*t - 3 + 133*t + 69*t + 131*t + 131*t - 20*t**2.
-20*t**2 - 3
Collect the terms in 1157*t**2 - 379*t**2 - 274644*t + 274644*t.
778*t**2
Collect the terms in -725*o + 3*o**3 + 218160 + 218158 - 436319.
3*o**3 - 725*o - 1
Collect the terms in -2*z**2 - 169183*z + 84632*z + 84619*z.
-2*z**2 + 68*z
Collect the terms in -4817245*u**2 - 4817236*u**2 + 9634493*u**2.
12*u**2
Collect the terms in -116*k - 43*k**3 + 245*k + 42*k.
-43*k**3 + 171*k
Collect the terms in 17350 + 22921 - 40271 - q**3.
-q**3
Collect the terms in 3309*d**2 - 3830*d**2 + 3*d**3 + 521*d**2.
3*d**3
Collect the terms in -1595*c**3 + 2752*c**3 - 3400*c**3 - 2.
-2243*c**3 - 2
Collect the terms in -206103805*h - 24*h**3 + 206103805*h.
-24*h**3
Collect the terms in -3850*q**2 + 1817*q**2 + 2062*q**2.
29*q**2
Collect the terms in 370 + 22*f + 45*f**2 + 11*f - 40*f - 372.
45*f**2 - 7*f - 2
Collect the terms in 3*u + 530*u**2 - 224145 + 224144 + 250*u**2.
780*u**2 + 3*u - 1
Collect the terms in 11 + 70*h**2 - 6*h**3 - 75*h**2 - h**3 - 4.
-7*h**3 - 5*h**2 + 7
Collect the terms in -334*q + 120*q - 341*q.
-555*q
Collect the terms in 44028741 + 44028732 + 10*m - 88057473.
10*m
Collect the terms in 21683168*a**2 - 10841553*a**2 - 10841616*a**2.
-a**2
Collect the terms in -1367*k + 8 + 685*k - 1 - 7 + 677*k.
-5*k
Collect the terms in 2*x**3 - 4*x**3 - 47696*x + 7*x**3 - 3*x**2 - 113176*x.
5*x**3 - 3*x**2 - 160872*x
Collect the terms in 192*k**2 + 2227417*k - 2227417*k.
192*k**2
Collect the terms in 98220*v + v**3 - 194879*v + 3*v**2 + 96659*v.
v**3 + 3*v**2
Collect the terms in -19373*d**3 + 5000*d**3 + 5038*d**3 + 4782*d**3 + 4939*d**3.
386*d**3
Collect the terms in 78 + 388 - 84 - 2*l + 3*l**2 + 8*l**2 - 3*l**2.
8*l**2 - 2*l + 382
Collect the terms in 1497037*g**3 - 748503*g**3 - 748531*g**3.
3*g**3
Collect the terms in -2 + 3*v**3 - 20230*v + 6*v**2 - 5*v**2 - v**2.
3*v**3 - 20230*v - 2
Collect the terms in 9*r**3 + 247 - 71 - 72 - 53 - 51.
9*r**3
Collect the terms in -1020*o + o**2 - o**2 + o**2 + 2903*o - 869*o - 1014*o.
o**2
Collect the terms in 39*h**2 + 227*h + 1 - 64*h - 83*h - 80*h.
39*h**2 + 1
Collect the terms in -10*a + 6 - 5*a - 6 + 4*a**2 - 8*a - 78.
4*a**2 - 23*a - 78
Collect the terms in -6568*v - 4555*v - 2162*v - 670*v.
-13955*v
Collect the terms in 4045*s + 1500*s + 21 - 717*s.
4828*s + 21
Collect the terms in -736*b**2 - 398*b**2 - 25*b**3 + 1537*b**2 - 403*b**2.
-25*b**3
Collect the terms in 11*y**2 + 47452*y**3 - 4 + 4 - 46064*y**3.
1388*y**3 + 11*y**2
Collect the terms in -203*s - 6693 - 111*s - 238*s**3 + 6693.
-238*s**3 - 314*s
Collect the terms in -87483*t**2 - 87416*t**2 + 174878*t**2.
-21*t**2
Collect the terms in 165*g + 518*g + 81*g + 666*g - 324*g.
1106*g
Collect the terms in -1086*c - 1126*c + 1509*c + 8.
-703*c + 8
Collect the terms in 238*c - 199696056 + 199696056.
238*c
Collect the terms in 2*q**2 + 0*q**2 - 24*q**3 - 61 - 2*q**2 - 9.
-24*q**3 - 70
Collect the terms in -53048*l**3 + 26699*l**3 + 26345*l**3.
-4*l**3
Collect the terms in 17304 - y**3 + y**2 - 2*y**2 + 10932 + 2*y - y**2 - 5090.
-y**3 - 2*y**2 + 2*y + 23146
Collect the terms in -c**2 - 646 + 337 + 8*c**2 + 123*c**3 + 309.
123*c**3 + 7*c**2
Collect the terms in 25 - 10 - 235356*w**2 + 41.
-235356*w**2 + 56
Collect the terms in -3 + 10932*s + 3 - 10676*s.
256*s
Collect the terms in 8*z - 4 - 2*z - 43*z - 22*z.
-59*z - 4
Collect the terms in -9468 + 43 + 9425 - 15*z**2.
-15*z**2
Collect the terms in 100173652357*l + 28*l**2 - 100173652357*l - 1.
28*l**2 - 1
Collect the terms in 113*x**3 - 276*x - 7*x**3 + 538*x - 262*x - 15*x**3.
91*x**3
Collect the terms in 1 - 635*g**2 + 279*g**2 - 1 + 2*g - 1027*g**2.
-1383*g**2 + 2*g
Collect the terms in -368*d**3 - 963*d**3 + 1625*d**3 - 397*d**3.
-103*d**3
Collect the terms in 19697*x**2 + 19670*x**2 - 39369*x**2.
-2*x**2
Collect the terms in -3302*a - 1780*a + 5077*a.
-5*a
Collect the terms in -7997751*m + 2*m**2 + 4000309*m + 3997442*m.
2*m**2
Collect the terms in -4563*t**2 + 1138*t**2 + 1102*t**2 + 1124*t**2 + 1126*t**2.
-73*t**2
Collect the terms in 935481*x**3 + x**2 + 935473*x**3 - 1870958*x**3.
-4*x**3 + x**2
Collect the terms in -5*b**3 - 665609474*b**2 + 665609474*b**2.
-5*b**3
Collect the terms in -2572*h - 4636*h - 490*h + 999*h.
-6699*h
Collect the terms in -2245*q + 802*q + 619*q + 823*q.
-q
Collect the terms in -57671 + t**3 + 33695 + 23976.
t**3
Collect the terms in 1203*d**2 - 40 - 528*d - 1211*d**2 + 528*d.
-8*d**2 - 40
Collect the terms in 610*w
|
{
"pile_set_name": "DM Mathematics"
}
|
comes next: -2820, -2729, -2484, -2007, -1220, -45, 1596?
3781
What comes next: -115413, -230832, -346251, -461670, -577089?
-692508
What is next in -21852, -43574, -65306, -87054, -108824, -130622, -152454?
-174326
What is next in 253, 1882, 6293, 14872, 29005, 50078, 79477, 118588?
168797
What is the next term in -4580, -18320, -41222, -73286?
-114512
What is the next term in -242, -205, -174, -149?
-130
What is next in -32317, -32321, -32325, -32329, -32333?
-32337
What is the next term in -10929, -10911, -10893, -10875?
-10857
What is next in -113, 139, 569, 1183, 1987, 2987?
4189
What comes next: 21, 53, 83, 111?
137
What comes next: -321, -297, -267, -231, -189, -141?
-87
What is next in 8511, 17024, 25537, 34050?
42563
What is the next term in 726, 1431, 2114, 2775, 3414, 4031?
4626
What is the next term in -3429, -6833, -10237?
-13641
What is the next term in -11608, -11663, -11718, -11773?
-11828
What is the next term in 125, 230, 407, 656?
977
What is next in 13002, 26609, 40214, 53817, 67418, 81017?
94614
What is next in 8955, 8967, 8977, 8985?
8991
What comes next: 784963, 3139846, 7064659, 12559408, 19624099, 28258738, 38463331, 50237884?
63582403
What is the next term in 275292, 1101233, 2477810, 4405029, 6882896, 9911417?
13490598
What comes next: -12655, -50622, -113907, -202510?
-316431
What is next in -17068, -34134, -51200?
-68266
What comes next: 1143, 4692, 10615, 18918, 29607?
42688
What comes next: -7551, -14328, -21105, -27882, -34659?
-41436
What is the next term in 44415, 88806, 133197, 177588, 221979, 266370?
310761
What comes next: 690, 704, 714, 720, 722, 720, 714?
704
What is the next term in 7918010, 7918011, 7918012?
7918013
What comes next: -3971, -7960, -11949, -15938, -19927?
-23916
What comes next: -74, -232, -610, -1310, -2434, -4084?
-6362
What is next in -20130, -40249, -60368, -80487, -100606?
-120725
What is next in 1232, 1422, 1610, 1796, 1980?
2162
What comes next: 38, 74, 98, 110, 110, 98?
74
What is the next term in 6631, 13272, 19929, 26602, 33291?
39996
What comes next: 11, -74, -159, -244, -329, -414?
-499
What is the next term in -351677, -351683, -351691, -351701, -351713?
-351727
What is next in -7, -21, 47, 239, 597?
1163
What is next in 21387, 21396, 21405, 21414, 21423?
21432
What comes next: 29, -50, -181, -364?
-599
What is next in 21136, 42271, 63406, 84541, 105676, 126811?
147946
What is next in 2182, 8786, 19796, 35212, 55034, 79262?
107896
What comes next: 16986, 16990, 16994?
16998
What is next in 301, 623, 1167, 1933?
2921
What is next in 52411, 52408, 52405?
52402
What comes next: 5818, 11604, 17378, 23134, 28866, 34568?
40234
What is the next term in 14, 122, 314, 590, 950, 1394, 1922?
2534
What is next in -1801, -2661, -3521, -4381, -5241, -6101?
-6961
What is next in -33579, -134316, -302213, -537270?
-839487
What is the next term in 114082, 228175, 342268, 456361, 570454?
684547
What comes next: -729, -742, -767, -804, -853, -914?
-987
What comes next: 242, 234, 226, 218, 210, 202?
194
What is the next term in 196, 758, 1694, 3004, 4688, 6746?
9178
What comes next: -195, -266, -385, -552, -767, -1030, -1341?
-1700
What is next in -23, -138, -455, -1070, -2079?
-3578
What is next in -8089, -16180, -24271, -32362?
-40453
What is the next term in -241, 153, 547, 941, 1335?
1729
What is next in 169, 669, 1509, 2689, 4209, 6069?
8269
What comes next: -374, -689, -1002, -1313, -1622?
-1929
What is next in -1100, -4422, -9954, -17690, -27624, -39750, -54062?
-70554
What is next in -292, -696, -1266, -2092, -3264, -4872, -7006, -9756?
-13212
What comes next: -550, -4505, -15276, -36271, -70898, -122565, -194680, -290651?
-413886
What is the next term in 882, 1643, 2404, 3165, 3926?
4687
What comes next: -5934, -11870, -17806, -23742, -29678?
-35614
What is the next term in -3, -14, -55, -138, -275?
-478
What is the next term in 749625, 749626, 749625, 749622?
749617
What comes next: 109, 436, 1339, 3112, 6049?
10444
What is the next term in 1327, 1328, 1337, 1360, 1403, 1472?
1573
What comes next: -863, -827, -749, -617, -419, -143?
223
What comes next: -5132, -20514, -46150, -82040?
-128184
What comes next: 8123, 16248, 24361, 32456, 40527, 48568?
56573
What is next in 1236, 1376, 1524, 1686, 1868, 2076?
2316
What is next in 21, 41, 63, 81, 89, 81, 51, -7?
-99
What comes next: 23521, 47041, 70561, 94081?
117601
What is the next term in -2731, -2826, -2921?
-3016
What comes next: 64, 209, 354, 433, 380, 129, -386, -1231?
-2472
What is next in 17704, 17698, 17688, 17674?
17656
What is next in 5, -147, -563, -1375, -2715, -4715?
-7507
What is the next term in 2053, 3996, 5805, 7414, 8757, 9768, 10381?
10530
What is next in 527, 543, 597, 707, 891, 1167?
1553
What is the next term in 663, 2558, 5715, 10134?
15815
What is the next term in -13019, -104393, -352427, -835451, -1631795, -2819789, -4477763, -6684047?
-9516971
What is next in 2862, 3888, 4902, 5898, 6870?
7812
What is the next term in -3321, -13281, -29881, -53121, -83001, -119521, -162681?
-212481
What is next in 884, 1744, 2604, 3464?
4324
What comes next: 908, 929, 948, 965, 980, 993, 1004?
1013
What comes next: -104, -879, -2990, -7103, -13884, -23999, -38114?
-56895
What is next in -4758, -4722, -4690, -4668, -4662, -4678, -4722?
-4800
What comes next: -820, -1614, -2388, -3148, -3900, -4650?
-5404
What is next in -9758, -9779, -9794, -9803, -9806, -9803?
-9794
What is the next term in 243, 284, 345, 432, 551, 708?
909
What comes next: -294, -267, -238, -207, -174, -139?
-102
What comes next: 73661, 73656, 73649, 73640?
73629
What is the next term in -17956, -17957, -17958, -17959, -17960?
-17961
What is the next term in -11320, -11725, -12130, -12535?
-12940
What comes next: 23399, 23494, 23577, 23642, 23683, 23694, 23669?
23602
What is next in -5998, -23983, -53952, -95905, -149842, -215763?
-293668
What is the next term in -2458, -4860, -7262, -9664?
-12066
What is the next term in 752, 696, 642, 590, 540, 492, 446?
402
What is the next term in -892108, -892109, -892110, -892111, -892112, -892113?
-892114
What is the next term in 22, 37, -22, -221, -626, -1303, -2318, -3737?
-5626
What is the next term in 2403, 2476, 2599, 2796, 3091, 3508?
4071
What comes next: 406954, 813908, 1220862, 1627816, 2034770, 2441724?
2848678
What comes next: 12066, 24147, 36228, 48309?
60390
What is next in 6, -6, -40, -108, -222?
-394
What is the next term in 7160, 7159, 7158, 7157, 7156?
7155
What comes next: 197, 1034, 2429, 4382?
6893
What is next in 11540, 11523, 11504, 11483?
11460
What is next in 696, 1423, 2188, 2997, 3856, 4771, 5748?
6793
What comes next: 1779, 3568, 5371, 7188, 9019, 10864?
12723
What is the next term in 6213534, 6213542, 6213562, 6213600, 6213662?
6213754
What is next in -54551, -218177, -490879, -872651, -1363487, -1963381, -2672327, -3490319?
-4417351
What comes next: -6124, -6144, -6164, -6184?
-6204
What is next in -236, -1027, -2358, -4229?
-6640
What is the next term in -28522, -57292, -86062?
-114832
What comes next: 2092, 4165, 6238, 8311?
10384
What comes next: 31, 104, 211, 334, 455, 556, 619?
626
What is next in 1006, 4059, 9162, 16315?
25518
What is next in 47, 171, 409, 761, 1227, 1807?
2501
What comes next: 51200, 51267, 51334, 51401, 51468, 51535?
51602
What is the next term in 369, 314, 259, 204, 149, 94?
39
What is next in 10221, 10238, 10265, 10302, 10349, 10406, 10473?
10550
What is the next term in -159, -138, -117?
-96
What is next in 3289605, 3289607, 3289609, 3289611, 3289613, 3289615?
3289617
What is next in -85, -72, -57, -46, -45, -60, -97, -162?
-261
What is the next term in 46, 67, 60, 25?
-38
What is the next term in -675, -2851, -6477, -11553, -18079, -26055, -35481?
-46357
What is next in -240, -339, -438, -537?
-636
What is next in -25, 78, 205, 368, 579, 850, 1193, 1620?
2143
What comes next: 421, 471, 553, 667, 813, 991, 1201?
1443
What comes next: -84, -30, 28, 90?
156
What comes next: -5993, -11623, -17253?
-22883
What is the next term in -2922, -11598, -26030, -46218, -72162, -103862?
-141318
What comes next: -1766, -3685, -5604, -7523, -9442?
-11361
What is the next term in -17294, -34569, -51844, -69119?
-86394
What is next in 294, 597, 904, 1221, 1554?
1909
What is nex
|
{
"pile_set_name": "DM Mathematics"
}
|
.5 (c) 3 (d) 0
c
Suppose -t + 9 = 11. Let k = -1201/7 + 172. What is the second biggest value in -5, t, k?
t
Let o = -252 - -1264/5. Which is the fourth biggest value? (a) o (b) 1/9 (c) -1/3 (d) 0.2
c
Let k = 211 - 206. What is the third smallest value in k, -31, 4?
k
Let k = 0.226 + -0.026. Let f be ((-5)/(-2)*-2)/(-1). Let r be (-3)/f*(-2)/(-6). What is the second biggest value in r, k, 0.5?
k
Let c = 5 - 4. Suppose 0 = -2*i + 1 + c. Let v = -1.3 - -1.6. What is the smallest value in i, -2/7, v?
-2/7
Let x(k) = 2*k**2 + 3*k - 6. Let h be x(-6). What is the second biggest value in 0.1, 3, h?
3
Let j(s) be the first derivative of s**3/3 + 5*s**2/2 + 6*s + 8. Let v be j(-4). Let l = v + -1. Which is the second smallest value? (a) -4 (b) -0.1 (c) l
b
Let g = 11.1 - -3.9. Let i = 21 - g. Which is the third biggest value? (a) 0.3 (b) 3 (c) 4 (d) i
b
Suppose -4*s + s - 3 = 0. Let a(l) be the third derivative of -l**4/4 + l**3/6 - 31*l**2. Let x be a(s). What is the smallest value in 1, x, -3/5?
-3/5
Let u be 2/7 + 72820/420. Let t = u + -173. Let d = -0.3 - -0.8. What is the third smallest value in d, -0.5, t?
t
Let o = 0 + -4. Let u = -0.179 + 0.071. Let p = u - 0.592. Which is the second biggest value? (a) 4/7 (b) o (c) p
c
Let g = -46.7 - -56.7. Which is the second smallest value? (a) 0.5 (b) -0.3 (c) 2/13 (d) g
c
Let p be 2 + (1 - -1) + -4. Suppose -5*z + z = -5*l + 30, -13 = z - 4*l. Let s = 163.43 + -163.4. Which is the third biggest value? (a) z (b) s (c) p
a
Let w(m) = -m**2 + 6*m + 4. Let u be w(5). Suppose -u = 3*q, -1 + 10 = -5*y + 2*q. Let s be -1 + 5 + 1 + y. Which is the smallest value? (a) s (b) -0.3 (c) 1
b
Suppose 2*y + 4*i + 11 = -y, -i - 7 = 5*y. Let k be 29/(-6) + 162/(-108) + 6. What is the third biggest value in k, -7, 0.3, y?
y
Let o = -2259.017 - -2261. Let n = o - -0.017. Which is the fourth smallest value? (a) 3 (b) n (c) 0.1 (d) 1
a
Let y be (-29)/14 - (-3 - (-34)/14). What is the third biggest value in -5/4, y, -8, -1?
y
Let a = -3.13 + 3.03. What is the second smallest value in 1, a, -87?
a
Let s = 1.9556 + 0.0444. Which is the second biggest value? (a) 5/3 (b) s (c) 3
b
Let d = 209 - 205. Let r(j) = -j**2 - 3*j + 6. Let i be r(-5). What is the third biggest value in -3/2, i, -14, d?
i
Let p(t) = t**2 + t - 1. Let k be p(1). Let d be 2*6/24*k*2. Which is the third biggest value? (a) d (b) 4/7 (c) 0.7
b
Let m = -331/3 + 119. What is the third smallest value in 0.5, m, -2?
m
Suppose 4 = -32*s + 28*s. Suppose 41 - 9 = -8*q. What is the fourth smallest value in q, 2/13, 2/3, s?
2/3
Let i = -1077 - -1077. What is the fourth smallest value in 3/7, i, -0.29, -1?
3/7
Suppose c - 12 = 6. Let o(h) = 20*h**3 + 2*h**2 + 2*h + 1. Let u be o(-1). Let s = c + u. What is the biggest value in s, -1/7, -5?
-1/7
Let a = 22.28 - 23. Let r = a + 0.07. Let g = 0.15 + r. What is the second biggest value in 0.3, g, 2?
0.3
Let u = 8 - 5. Let r = 0.004 - 0.564. Let k = -0.46 - r. Which is the biggest value? (a) u (b) 4 (c) k
b
Let n = 0.299 + 0.001. Which is the biggest value? (a) -16 (b) 1/4 (c) n (d) -1
c
Let l = -0.557 + 0.557. Which is the second smallest value? (a) 9 (b) l (c) -2 (d) 3
b
Let m = -4 + 3. Let t = -825 + 7421/9. Which is the third biggest value? (a) t (b) 4/3 (c) m (d) -0.5
d
Let h = -0.6594 - -3.5304. Let q = h + 0.129. Which is the fourth smallest value? (a) -0.2 (b) -2 (c) -2/15 (d) q
d
Let h = -130.2 - -130.2. Which is the fourth smallest value? (a) -2/13 (b) h (c) 2 (d) 30
d
Let m = -100.4 + 99.9. Which is the biggest value? (a) -124 (b) m (c) -5
b
Let f = -185 - -184.7. Which is the second smallest value? (a) -3 (b) 1.4 (c) f (d) 0.5
c
Let s = 312 + -310. Which is the third smallest value? (a) s (b) 7 (c) -2
b
Let p = -0.13 + 0.13. Let l = -2/9 - -1/3. Which is the fourth biggest value? (a) l (b) p (c) 1 (d) 3
b
Let d = -4188/11 + 381. Let x = 98.2 + -107. Let v = x + 8.9. Which is the smallest value? (a) -2 (b) d (c) v
a
Let f = -114 + 911/8. Let x(p) = p**2 - 12. Let r be x(-4). Suppose r*q + 13*q = 0. Which is the smallest value? (a) 0.2 (b) q (c) f
c
Let x = 22 + -20.5. Let h = -1.55 + x. Let l = h + -0.05. Which is the smallest value? (a) -3/7 (b) 0.5 (c) l
a
Let r(t) = -t**3 - 7*t**2 + 7*t - 11. Let f be r(-8). Let m = 2506/5679 + 2/631. What is the second biggest value in f, 4, m, 1/2?
1/2
Let a = 2347/3 - 782. What is the second smallest value in -2, 14, 3, a?
a
Let p be (-10)/15 + (0 - 52/(-6)). Suppose 3*z - p = -2*u + 9, u + 9 = 2*z. What is the smallest value in -2/11, 9, u?
-2/11
Let z(w) = -w**3 - 10*w**2 + 9*w - 16. Let i be z(-11). Let h = 273/5 - 829/15. What is the second smallest value in h, -0.2, 5, i?
-0.2
Let b = 1.2 - 1.07. Let s = -5.13 + b. What is the second smallest value in -2, 2, s?
-2
Let f(z) = -7*z - 4. Let h be f(-4). Suppose 3*t - 13 = -2*u, u + 3*t = -2*t + h. What is the third biggest value in u, 0.5, 0?
u
Let x be (6/(-30))/(0 + (-3 - -4)). What is the smallest value in x, 4, 36?
x
Let f = 13.73 - 13.7. Let w = 12 + -13. Which is the second smallest value? (a) f (b) 4 (c) w (d) 0.3
a
Let g be 3/(-5) - (-4 - -3). Which is the biggest value? (a) -30 (b) g (c) 1
c
Let y be (116 - -1)/(4 + -1 + -1). Let u = y - 58. Let h = 136/3 - 47. What is the third biggest value in h, u, 3?
h
Let o be ((-9)/(-10))/((-7)/14). Let z = -2 - o. Suppose 2*m = -2*y - 15 + 3, -5*y = 2*m + 18. Which is the biggest value? (a) z (b) y (c) -2/15
c
Let p = 187/18 - 92/9. What is the second smallest value in p, 1/4, 0.5, 1/5?
1/5
Let l = -1490/9 + 166. Let n be (-10)/60*(-2 + 5). Which is the third smallest value? (a) -5 (b) n (c) l
c
Suppose -f - 2 = d, 0 = -2*d + 2*f - f + 2. Suppose d = 3*q - 12 - 27. Let z = q - 11. What is the third biggest value in -2/5, z, -0.2?
-2/5
Suppose -13*z - 9 = -16*z. Let m be -1 + (-2 - -3 - z). Which is the third smallest value? (a) m (b) 25 (c) 1/4
b
Let j(x) be the third derivative of x**4/24 - 7*x**3/6 + 15*x**2. Let v be j(3). Which is the biggest value? (a) -2 (b) -0.02 (c) v
b
Let f = -686 - -687. What is the third biggest value in -303, -2/9, f?
-303
Let y be (-3)/(-6) - 810/(-20). What is the smallest value in -1/2, y, 2/11, 0.3?
-1/2
Let l(w) = -w**2 - 7*w + 11. Let p be l(-8). Let u = 401 + -397. Which is the third smallest value? (a) u (b) -4 (c) p
a
Suppose 2*z - 1 = 3. Let v be 1*z - 84/39. Let n be ((-45)/110)/(12/(-11)). What is the third biggest value in v, 3, n?
v
Let i = 5.8 - 3.8. Let n = i + -2.2. What is the smallest value in n, -3/7, -5?
-5
Let d = -415/4 + 104. Which is the second biggest value? (a) 0.4 (b) d (c) -0.2
b
Let g(n) = 3*n - 9. Let s be g(0). Let u be (4/(-48))/(s/(-24)). Which is the second smallest value? (a) u (b) -1 (c) 10
a
Let m be (-120)/66 + 2 - 107/44. Let i = -2.9 - 1.1. Which is the biggest value? (a) m (b) i (c) 0.5
c
Let x = 7 + -11. Let u = -777.81 + 781. Let r = 0.19 - u. Which is the third smallest value? (a) 1/7 (b) r (c) x
a
Let j = 1.77 + 0.03. Let y = j + -0.6. Let k = -1.5 + y. Which is the second smallest value? (a) 4 (b) -1/5 (c) k
b
Let o = 15/4 - 37/12. Let m = -0.4 + 1.4. Let p = m + -5. What is the second smallest value in p, -1/5, o?
-1/5
Let w = 1860 + -1859. Which is the third smallest value? (a) 0.63 (b) -0.1 (c) w
c
Let i(r) = 3*r**2 + r - 47. Let q be i(4). What is the fourth biggest value in q, -1/6, 0.4, -9/4?
-9/4
Suppose 0 = -9*u - 7*u - 1728. Let s be (20/(-6))/(72/u). Which is the third smallest value? (a) -0.3 (b) -1/9 (c) s
c
Let k = 210/383 + -212503/2681. Let n = -79 - k. Which is the third biggest value? (a) n (b) -0.1 (c) -0.3 (d) -0.5
c
Let a = -750.97 + 751. Let j = 4.99 + 0.01. What is the second smallest value in j, a, 0.5?
0.5
Let g = -388 - -376. Which is the smallest value? (a) g (b) 22 (c) -3
a
Suppose 0*p + 5*f - 30 = -5*p, -4 = -f. What is the third smallest value in 0.08, p, -3?
p
Let j(m) = -m + 53. Let f be j(13). Let z = f + -43. What is the third smallest value in -1/12, 1/8, z?
1/8
Suppose 18 = -4*m + 182. Suppose 0 = -2*d + 2, -4*p - d = -2*p - m. Let t be (5 + -3)/(p + -1). Which is the third biggest value? (a) -0.4 (b) 2 (c) t
a
Let r = -66 - 23
|
{
"pile_set_name": "DM Mathematics"
}
|
rograms are there in thirteen quarters of a milligram?
3250
How many litres are there in 4.814732 millilitres?
0.004814732
How many minutes are there in 0.3837979 weeks?
3868.682832
Convert 64.13802km to micrometers.
64138020000
How many nanometers are there in eleven halves of a micrometer?
5500
What is 7.146322 milligrams in micrograms?
7146.322
Convert 0.0918539 micrometers to kilometers.
0.0000000000918539
What is 32.150832 days in weeks?
4.592976
What is 4801.07 nanoseconds in seconds?
0.00000480107
Convert 16346417.22 microseconds to weeks.
0.00002702780625
Convert 14446.83ns to minutes.
0.0000002407805
How many seconds are there in four fifteenths of a hour?
960
What is 149587.776s in days?
1.73134
How many millilitres are there in 67/4 of a litre?
16750
How many hours are there in 4/7 of a week?
96
Convert 280.7286 hours to microseconds.
1010622960000
How many millilitres are there in five eighths of a litre?
625
What is 50.16609 decades in months?
6019.9308
How many micrometers are there in 11/4 of a millimeter?
2750
How many millilitres are there in 83538.91l?
83538910
What is 696209.1g in micrograms?
696209100000
How many grams are there in seventy-four fifths of a kilogram?
14800
How many seconds are there in 1/15 of a week?
40320
How many millilitres are there in three fifths of a litre?
600
Convert 165.094 nanograms to milligrams.
0.000165094
How many kilometers are there in 2.015424mm?
0.000002015424
What is 8759703.96 nanoseconds in weeks?
0.0000000144836375
How many millimeters are there in 29/5 of a centimeter?
58
Convert 9184.792t to kilograms.
9184792
What is sixty-seven fifths of a litre in millilitres?
13400
What is 35.85577 centuries in months?
43026.924
How many millimeters are there in 3/5 of a centimeter?
6
What is 96.81996 months in years?
8.06833
What is 0.786107 litres in millilitres?
786.107
How many micrometers are there in 3.290994cm?
32909.94
Convert 2.536935 nanograms to kilograms.
0.000000000002536935
Convert 117.2627cm to micrometers.
1172627
How many millimeters are there in 564048.3km?
564048300000
Convert 107.5587 millilitres to litres.
0.1075587
How many micrometers are there in 3/5 of a centimeter?
6000
Convert 826.1222 millimeters to meters.
0.8261222
What is 21/2 of a millennium in decades?
1050
What is 3.962203 millilitres in litres?
0.003962203
What is 1/72 of a week in minutes?
140
How many nanograms are there in thirteen quarters of a microgram?
3250
What is one twentieth of a litre in millilitres?
50
How many litres are there in 7402.468 millilitres?
7.402468
What is 765565.5um in nanometers?
765565500
How many meters are there in 7.98389 kilometers?
7983.89
How many centimeters are there in 29798.44km?
2979844000
How many minutes are there in 27/4 of a hour?
405
What is 11/8 of a millennium in years?
1375
How many microseconds are there in 6357.08 milliseconds?
6357080
How many kilograms are there in 1/5 of a tonne?
200
Convert 242.1218 meters to nanometers.
242121800000
How many nanograms are there in 399.8483t?
399848300000000000
Convert 0.5177302 nanometers to micrometers.
0.0005177302
How many grams are there in 21/5 of a kilogram?
4200
What is 1.031724l in millilitres?
1031.724
How many months are there in 23/3 of a century?
9200
What is 4.373989cm in kilometers?
0.00004373989
How many days are there in 2/7 of a week?
2
What is 9846.175 millilitres in litres?
9.846175
Convert 0.1625042 centimeters to meters.
0.001625042
How many meters are there in 3/5 of a kilometer?
600
Convert 17798.91 micrometers to kilometers.
0.00001779891
Convert 1.421611ng to grams.
0.000000001421611
What is three fifths of a litre in millilitres?
600
What is 437.776 decades in years?
4377.76
How many millilitres are there in five eighths of a litre?
625
How many micrograms are there in 6/25 of a milligram?
240
What is 433.8639um in millimeters?
0.4338639
What is one fifth of a hour in minutes?
12
How many microseconds are there in 53/5 of a millisecond?
10600
How many hours are there in five sixths of a day?
20
Convert 199292.184us to weeks.
0.0000003295175
What is 43803.26 meters in nanometers?
43803260000000
How many nanometers are there in 18/5 of a micrometer?
3600
How many microseconds are there in 55768.59 days?
4818406176000000
How many meters are there in 193177.9um?
0.1931779
What is 11/4 of a hour in seconds?
9900
What is 3/5 of a kilometer in centimeters?
60000
How many seconds are there in 1/18 of a week?
33600
How many grams are there in 3/40 of a kilogram?
75
Convert 1.1582688 months to centuries.
0.000965224
Convert 0.2794794 litres to millilitres.
279.4794
Convert 0.5980219 micrograms to kilograms.
0.0000000005980219
Convert 7.173225 kilometers to nanometers.
7173225000000
Convert 773.9467 kilometers to micrometers.
773946700000
How many years are there in seven quarters of a century?
175
How many micrograms are there in 21/8 of a milligram?
2625
What is 21/2 of a litre in millilitres?
10500
How many micrograms are there in seven halves of a milligram?
3500
Convert 7.196421 hours to days.
0.299850875
How many kilograms are there in 46/5 of a tonne?
9200
How many hours are there in 19/4 of a day?
114
What is 3/25 of a tonne in kilograms?
120
What is three sixteenths of a centimeter in micrometers?
1875
How many hours are there in 0.6631065ms?
0.00000018419625
How many seconds are there in 15/4 of a hour?
13500
How many millilitres are there in three fifths of a litre?
600
Convert 8270.29nm to micrometers.
8.27029
What is 1868.996 micrometers in nanometers?
1868996
What is 0.9504435 nanograms in milligrams?
0.0000009504435
What is 2852321.4 hours in days?
118846.725
Convert 315.0447 centuries to decades.
3150.447
How many months are there in eight fifteenths of a century?
640
What is 5435.347 litres in millilitres?
5435347
What is fifty-two fifths of a litre in millilitres?
10400
Convert 29076.61g to micrograms.
29076610000
How many millimeters are there in 11/10 of a meter?
1100
How many millilitres are there in five eighths of a litre?
625
What is 1/4 of a century in years?
25
How many months are there in 48/5 of a decade?
1152
What is 3/5 of a litre in millilitres?
600
What is 80.51539 years in months?
966.18468
What is one twentieth of a millimeter in nanometers?
50000
What is 42334.83 decades in centuries?
4233.483
How many millilitres are there in five quarters of a litre?
1250
What is 1/20 of a second in microseconds?
50000
What is 6/25 of a litre in millilitres?
240
How many litres are there in 44.6688 millilitres?
0.0446688
What is fourty-six fifths of a microgram in nanograms?
9200
What is 22737.85um in centimeters?
2.273785
How many micrograms are there in 59578.7 kilograms?
59578700000000
Convert 992663.6 millilitres to litres.
992.6636
How many kilograms are there in 3/5 of a tonne?
600
What is 785281.7 kilometers in centimeters?
78528170000
How many minutes are there in 1217552.1s?
20292.535
How many millimeters are there in seven halves of a meter?
3500
What is 76.8755 grams in nanograms?
76875500000
How many centuries are there in 8.739936 millennia?
87.39936
What is five quarters of a century in years?
125
Convert 1171.9cm to millimeters.
11719
What is 3/40 of a millimeter in micrometers?
75
What is 18/5 of a litre in millilitres?
3600
How many litres are there in 214231.3ml?
214.2313
Convert 900365.1 millimeters to nanometers.
900365100000
How many months are there in fourty-three quarters of a year?
129
What is 0.907284 milligrams in grams?
0.000907284
How many seconds are there in 9/16 of a hour?
2025
How many millilitres are there in fourty-three halves of a litre?
21500
What is 46.66764nm in millimeters?
0.00004666764
Convert 9489.254 days to milliseconds.
819871545600
What is three tenths of a century in decades?
3
How many weeks are there in 15469.96374 seconds?
0.02557864375
How many micrograms are there in 3/50 of a gram?
60000
What is twenty-one eighths of a litre in millilitres?
2625
Convert 7110.41t to micrograms.
7110410000000000
What is 8785.882 milligrams in kilograms?
0.008785882
How many kilometers are there in 22.36062m?
0.02236062
How many kilograms are there in one tenth of a tonne?
100
Convert 777491.7 nanometers to kilometers.
0.0000007774917
How many nanogr
|
{
"pile_set_name": "DM Mathematics"
}
|
v - 5. Calculate -6*a(u) + 7*i(u).
2*u**3 - u - 5
Let r(p) = -2*p - 1. Suppose 5*o + 3*t = 20, -21 + 1 = -5*o + 2*t. Let a(j) be the first derivative of 5*j**2/2 + 2*j + 12. Give o*a(c) + 9*r(c).
2*c - 1
Let t(d) = -4*d - 1. Let q(v) = -2*v - 1. Determine 5*q(a) - 3*t(a).
2*a - 2
Let y(b) = -18*b - 5. Let o(v) = 37*v + 11. What is -6*o(a) - 13*y(a)?
12*a - 1
Let y(v) = 13*v**2 + 16. Let r(k) = 9*k**2 + 11. Calculate 7*r(i) - 5*y(i).
-2*i**2 - 3
Suppose 8*g - 22 = 26. Let p(c) = 1. Let s(m) = m**2 - 2*m - 8. Determine g*p(l) + s(l).
l**2 - 2*l - 2
Let t(x) = 4*x**2 - 15*x**3 - 15 + 21*x - 8*x + 0*x**2. Let a(h) = h**2 + 2*h**2 + 5*h + h - 7 - 7*h**3 - h**2. Give 13*a(r) - 6*t(r).
-r**3 + 2*r**2 - 1
Let o(h) = -6*h - 9. Let y be 1/(3/54*-2). Let d(t) = -3*t - 4. Determine y*d(m) + 4*o(m).
3*m
Let x(d) = -d - 2. Let s(u) = -2*u - 5. Let p(k) = -6*k - 16. Let r(l) = -2*p(l) + 7*s(l). Calculate -5*r(o) + 8*x(o).
2*o - 1
Let y(d) = -9*d**2 + 5*d - 11. Let m(v) = -4*v**2 + 2*v - 5. Give -5*m(k) + 2*y(k).
2*k**2 + 3
Let a(h) = h. Let p(b) = 4*b - 7. Determine 6*a(q) - p(q).
2*q + 7
Let c(i) = 1. Let h(n) = 13*n**2 - 7*n + 8. Let f(q) = -6*c(q) + h(q). Let d(v) = -6*v**2 + 3*v - 1. Give -9*d(s) - 4*f(s).
2*s**2 + s + 1
Let t(m) = 7*m**2 - 3*m - 7. Let a(d) = -d**2 + d + 1. What is -6*a(r) - t(r)?
-r**2 - 3*r + 1
Let l(a) = -5*a**2 + 7*a. Let g be 30/4 + 1/(-2). Let f(y) = -8*y + 314 + 5*y**2 + y**2 - 314. What is g*l(o) + 6*f(o)?
o**2 + o
Let d(p) = 11*p + 2. Let w(c) = -11*c - 2. What is 3*d(y) + 4*w(y)?
-11*y - 2
Let s(n) = 9*n**2 + 11*n. Let l(t) = 10*t**2 + t - 5. Let p(v) = 11*v**2 - 6. Let u(y) = 6*l(y) - 5*p(y). Calculate -6*s(d) + 11*u(d).
d**2
Let z = -2 - -3. Let k(j) = j**2 + j + 1. Let m(p) = p**3 + 6*p**2 + 5*p + 5. What is z*m(b) - 5*k(b)?
b**3 + b**2
Let i(a) = -a**3 - 2*a**2 + 2*a + 2. Suppose -20 = 14*k - 18*k. Let o(j) = -2*j**3 - 5*j**2 + 5*j + 5. Give k*i(b) - 2*o(b).
-b**3
Let t(s) = 7*s**3 - 6*s**2 - 8*s - 6. Let r be (-4)/3 - (-516)/36. Let z(x) = 15*x**3 - 13*x**2 - 17*x - 13. What is r*t(p) - 6*z(p)?
p**3 - 2*p
Let w(k) = -3*k - 5. Let b = 17 - 33. Let a(u) = 10*u + 16. What is b*w(c) - 5*a(c)?
-2*c
Let b(a) = -a**2 + 2. Let q(n) = 2 - 2 - 2 + 3. Determine b(m) - 3*q(m).
-m**2 - 1
Let c = -6 + 1. Let u(v) = -v**3 - 6*v**2 - 5*v - 7. Let s be u(c). Let o = 4 + s. Let l(g) = -4*g + 2. Let j(z) = -5*z + 2. Give o*l(m) + 2*j(m).
2*m - 2
Let l(k) = 2*k**2 + 5. Let q(h) = 2*h**2 + h + 6. Give 6*l(i) - 5*q(i).
2*i**2 - 5*i
Suppose 4*w - 15 = 7*w. Let z(q) = 3*q**3 + 3*q**2 - 5. Let s(p) = -3*p**3 - 4*p**2 + 6. Determine w*s(o) - 6*z(o).
-3*o**3 + 2*o**2
Let a = -121 - -123. Let o(m) = -10*m**3 + 21*m**2 - 21. Let q(x) = 2*x**3 - 4*x**2 + 4. Give a*o(c) + 11*q(c).
2*c**3 - 2*c**2 + 2
Let u(d) = 3*d**2 - 5*d. Let s(m) = -12 + m**2 - 2*m + 24 - 12. Give -10*s(z) + 4*u(z).
2*z**2
Let c(l) = 2*l**3 + 2*l**2 - 1. Let i(v) = -v**2 + 2 + 0*v**2 - 4*v**3 - 4*v**2. Suppose -5*p = -4*g - 25, -g - 25 = -5*p - 6*g. What is p*c(w) + 2*i(w)?
2*w**3 - 1
Let p(q) = 5*q**3 + 6*q**2 + q - 3. Let d(l) = 6*l**3 + 7*l**2 + 2*l - 4. Determine -3*d(s) + 4*p(s).
2*s**3 + 3*s**2 - 2*s
Let b(k) = -5*k**2 - 2*k + 6. Let h(i) = 1 + 2*i**2 - i**2 - 2*i**2. Let w(u) = -b(u) + 3*h(u). Let p(d) = -2*d**2 - 2*d + 4. What is 3*p(f) + 4*w(f)?
2*f**2 + 2*f
Let y(q) be the second derivative of -q**3/6 + 3*q**2/2 + q. Let t be (-10)/(-2) - (0 - 0). Let a(o) = 14 - 6 - 5*o + t. What is 2*a(l) - 9*y(l)?
-l - 1
Let s(n) = -2*n + 2. Let q be s(-2). Let v be 2/3 - (-26)/6. Let y(l) = l + 1. Let j(g) = -g - 1. What is q*j(c) + v*y(c)?
-c - 1
Let o(c) be the first derivative of -4*c**3/3 - c**2/2 - 3*c - 18. Let f(n) = -n - 5 - 8 - 17*n**2 - 4*n. What is 2*f(u) - 9*o(u)?
2*u**2 - u + 1
Let x(h) = 153*h**3 + 39*h**2 + 39. Let n(v) = 8*v**3 + 2*v**2 + 2. Calculate -117*n(k) + 6*x(k).
-18*k**3
Let u(n) = -6*n**3 - 8*n**2 - 8*n - 8. Let d(r) = r**2 + r + 1. Determine -24*d(a) - 3*u(a).
18*a**3
Let w(p) = 5*p**3 + 2*p**2 + 3*p + 1. Suppose -5*n - 7 = 8. Let g(o) = 6*o**3 + 3*o**2 + 4*o + 1. What is n*g(h) + 4*w(h)?
2*h**3 - h**2 + 1
Let v(m) = -2*m**3 - 9*m**2 + 6. Let q(j) = 2*j**3 + 8*j**2 - 5. Let p(b) = -b**3 + 14*b**2 - 19*b + 83. Let l be p(13). What is l*v(s) + 6*q(s)?
2*s**3 + 3*s**2
Let l(p) = p**2 - 1. Let b(z) = 12*z**2 + 3*z - 12. Calculate b(j) - 9*l(j).
3*j**2 + 3*j - 3
Let q(r) = -5*r**3 - 4*r**2 + r - 6. Let f(b) = -b**2 - 1. Determine 6*f(p) - q(p).
5*p**3 - 2*p**2 - p
Let d(m) = 11. Let c(w) = 5. Let i(o) = 13*c(o) - 6*d(o). Let h(v) = 2*v - 1 + 6 - 4. Suppose -10 = -6*s - 4. What is s*i(a) - h(a)?
-2*a - 2
Let r(i) = 2*i + 20. Let o be r(0). Suppose o = -6*s + 11*s. Let n(q) = -9*q - 7. Let j(d) = 5*d + 4. Determine s*n(k) + 7*j(k).
-k
Let f(m) = 28*m**3 + 5*m**2 - 2*m - 5. Let c(t) = 42*t**3 + 7*t**2 - 3*t - 7. What is 5*c(y) - 7*f(y)?
14*y**3 - y
Suppose l - 16 = -l. Let p(o) = -2*o**2 - 5. Let v(d) = -3*d**2 - 8 - 9*d - 12*d + 21*d. What is l*p(g) - 5*v(g)?
-g**2
Let y(z) = -z**3 - 2*z - 5. Let u(m) = m + 1. Let x(n) = -4*u(n) - y(n). Suppose -5 + 49 = -4*t. Let j(d) = -6*d**3 + 11*d - 6. What is t*x(s) - 2*j(s)?
s**3 + 1
Let k(l) = -l - 2. Let z be (-4)/(-2) - -1*1. Let y = 266 + -273. Let p(r) = -3*r - 4. What is y*k(d) + z*p(d)?
-2*d + 2
Suppose -5*q = -18 - 7. Let b(s) = -2*s**2 - 4 + 0 + 4*s**2 + q*s. Let p(m) = m**2 + 3*m - 2. Let f = -15 - -22. What is f*p(w) - 4*b(w)?
-w**2 + w + 2
Let p(c) = -14*c**2 + 3. Let v(j) = -5*j**2 + 1. Suppose -2*n + 3*n = 2*w - 9, 6 = n + 3*w. Give n*p(m) + 8*v(m).
2*m**2 - 1
Let k(v) = -v - 1. Let c(g) = g**2 - 7*g + 4. Let m be (12/10)/(4/20). Let q be c(m). Let i(u) = u**2 - 2*u - 2. Give q*k(f) + i(f).
f**2
Let v(c) = -3*c**2 - 9*c + 15. Let w(f) = f - 1. What is -v(u) - 9*w(u)?
3*u**2 - 6
Let c(u) = -76*u - 6. Let q(x) = -25*x - 2. Give -2*c(d) + 7*q(d).
-23*d - 2
Let g(t) = -1. Let o(y) = -3 - 2 - 2*y - 3*y. Let b(w) = -g(w) - o(w). Let j = -49 - -43. Let h(s) = 4*s + 5. Give j*h(m) + 5*b(m).
m
Let q(h) = 2*h**2 - h - 39. Let k(r) = 3*r**2 - r - 39. Give 3*k(b) - 4*q(b).
b**2 + b + 39
Let u(k) = 6*k + 8. Let p(b) = -b - 1. Let m = -2 + 1. Calculate m*u(g) - 5*p(g).
-g - 3
Let h(x) = -3*x**3 - 6*x**2 - 6*x. Let o(s) = 6*s**3 + 11*s**2 + 11*s. Suppose 9*r + 88 = r. Determine r*h(d) - 6*o(d).
-3*d**3
Let v(l) = 0 - 6 + l + 1. Suppose 42 = 4*z + 3*z. Let r(s) = -s + 6. What is z*v(d) + 5*r(d)?
d
Let t(a) = -2*a**3 + 5*a. Let j(w) be the first derivative of 3*w**4/4 - 4*w**2 - 15. Determine 5*j(k) + 8*t(k).
-k**3
Suppose 10*c - 5*c = 4*u + 7, -4 = 3*u - 4*c. Let k(m) = -9*m**3 - 5*m**2 + 8*m + 8. Let l(n) = -3*n**3 - 2*n**2 + 3*n + 3. Calculate u*l(y) + 3*k(y).
-3*y**3 + y**2
Let a(z) = z**3 - 3*z**2 + 3. Suppose -3*w + 14 - 5 = 0. Let n(i) = 2*i**3 - 5*i**2 - i + 5. Calculate w*n(p) - 5*a(p).
p**3 - 3*p
Let k(x) = 6*x**2 + 7*x + 7. Let b(n) = -n**3 + 8*n**2 + 8*n + 4. Let f be b(9). Let v(j) = 7*j**2 + 8*j + 8. What is f*v(h) + 6*k(h)?
h**2 + 2*h + 2
Let z(a) = 6*a + 7. Let o(l) = 4*l + 1. Let f be o(1). Let v(i) = i + 1. Give f*v(w) - z(w).
-w - 2
Let a(l) = -4 + 4 - 7 - 5*l. Suppose -2*y = -0*y + v - 4, -3*v = 12. Suppose -u = u - x - 10, -10 = -2*u + y*x. Let m(i) = 4*i + 6. Calculate u*a(q) + 6*m(q).
-q + 1
Let n(d) = d**3 - 5*d**2 + 6*d + 2. Let f(v) = -v**3 + 6*v**2 - 7*v - 2. Let b = -20 + 14. What is b*n(g) - 5*f(g)?
-g**3 - g - 2
Let v(h) = -h. Let c(n) = 3*n**2 + 5*n. Calculate c(g) - 5*v(g).
3*g**2 + 10*g
Let i be (-12)/(-9)*(-6)/(-4). Let c(r) = r**2 - r. Let p(f) = -2*f**2 + f. Let b(k) = -k**2 - 4*k + 2. Let n be b(0). Calculate i*p(a) + n*c(a).
-2*a**2
Let o(y) = y**3 + y**2 - y. Let f(l) = 5*l**3 + 3*l**2 - 4*l + 4. What is -f(x) + 4*o(x)?
-x**3 + x**2 - 4
Let z(a) be the first derivative of 7*a**2 - 23*a + 1. Let u(d) = 5*d - 8. Suppose 0*q - 3*q = -15. Suppose 0 = q*p - 0*p - 30. Determine p*z(o) - 17*u(o).
-o - 2
Suppose 0 = 5*c - 5*j - 15, 18 = -0*c + c + 2*j. Let w(b) = -2*b + 17. Let l(v) = v - 6. Calculate c*l(d) + 3*w(d).
2*d + 3
Let c = 17 + -12. Let r(w) = 6*w**2 - 5*w - 5. Let v(g) = 7*g**2 - 6*g - 6. Determine c*v(j) - 6*r(j).
-j**2
Let j(d) = -d - 2. Suppose -17 = -5*c + 4*s, 2*c - 2*s - 1 = 5. Let u(w) = 7*w - 3*w + 0*w - 2*w + 5. Give c*j(l) + 2*u(l).
-l
Let z(t) = t**2 - 2. Let i be 3/(-2
|
{
"pile_set_name": "DM Mathematics"
}
|
alue in -4, -33/5, -10?
-33/5
Which is the biggest value? (a) 0 (b) -4/7 (c) -1.2 (d) -3
a
Which is the smallest value? (a) -2 (b) -1 (c) 1 (d) 33
a
What is the second smallest value in -1.2, 0.1, 148?
0.1
What is the second smallest value in -4/3, -2/7, 163?
-2/7
What is the second biggest value in 5, 4.2, 3?
4.2
Which is the biggest value? (a) -5 (b) 5 (c) -0.0606 (d) -0.3
b
What is the second smallest value in -10.7, 5, 14/9?
14/9
Which is the biggest value? (a) 1/2 (b) 1 (c) 0.026
b
What is the second smallest value in 2/3, 1/6, 0.5, 0.4?
0.4
What is the fourth smallest value in 1669, -0.1, -1, 1?
1669
What is the third smallest value in -6, 6, -0.4, -0.5?
-0.4
Which is the fourth biggest value? (a) -3 (b) -1/4 (c) -0.06 (d) 3
a
What is the second biggest value in 0.3, 42, 5, -1?
5
Which is the third biggest value? (a) -608 (b) -2 (c) 0.2
a
Which is the second biggest value? (a) -0.2 (b) -2 (c) 2/7 (d) -5 (e) -3/11
a
Which is the third smallest value? (a) 5 (b) -0.1 (c) 0.05
a
What is the third smallest value in -95, -0.5, -1, 2/5?
-0.5
Which is the second smallest value? (a) -6 (b) 2 (c) 1/3 (d) -0.012 (e) -4
e
What is the third biggest value in -2/7, -0.2, 209/2, -2, 0?
-0.2
Which is the second biggest value? (a) -0.4 (b) -3/170 (c) -1/2 (d) -0.1
d
Which is the third smallest value? (a) 0.7 (b) -6 (c) 0.5 (d) 1 (e) -0.3
c
What is the second smallest value in -2, 5, 4?
4
Which is the smallest value? (a) 0.1 (b) -0.05 (c) -2/3 (d) -0.4 (e) -4/45
c
What is the fourth biggest value in 5, -163, 0.1, -2/5?
-163
Which is the biggest value? (a) 84 (b) 3/4 (c) 4 (d) 5 (e) -6/11
a
Which is the second smallest value? (a) -11/4 (b) 0.3 (c) 25 (d) -0.4
d
What is the second biggest value in 0.7, 4, -1, -2?
0.7
Which is the third smallest value? (a) 7 (b) -3 (c) 0.1 (d) 1 (e) 12
d
Which is the second smallest value? (a) -0.03 (b) 1.35 (c) -0.3
a
What is the biggest value in -2, -5, 6.6?
6.6
Which is the smallest value? (a) -2/3 (b) -1 (c) 7/6 (d) -0.3
b
Which is the second biggest value? (a) 12 (b) 5/3 (c) 0.6
b
What is the third smallest value in -5, 3/4, -2/1789?
3/4
Which is the biggest value? (a) 1/3 (b) 0.4 (c) 2 (d) 0
c
Which is the second biggest value? (a) 5 (b) 1/3 (c) -11
b
What is the third biggest value in 1.2, 3, -3?
-3
What is the smallest value in 13, 3, -5?
-5
What is the third smallest value in -1, -1/3, 0.4, 0?
0
What is the fourth biggest value in 5, -3, 4, -5?
-5
What is the second biggest value in 1/4, -97, -6?
-6
What is the smallest value in -16, 0.02, 5?
-16
Which is the third smallest value? (a) 114 (b) 16 (c) 4
a
Which is the third smallest value? (a) -3 (b) -5 (c) -79 (d) -0.4 (e) 4
a
What is the second smallest value in 1/28, -5, 5, -2?
-2
Which is the third smallest value? (a) 0.09 (b) -2/29 (c) -0.12
a
Which is the third biggest value? (a) -0.23 (b) -0.009 (c) 1/11
a
What is the second smallest value in 10, -5, 4, -0.2?
-0.2
What is the fourth smallest value in 4, 5, 3/4, 1/28?
5
Which is the second smallest value? (a) -6 (b) -0.1 (c) 12/11 (d) 0
b
Which is the biggest value? (a) -6 (b) 0.2 (c) -47 (d) 5 (e) 4
d
Which is the fourth smallest value? (a) 23/8 (b) 0.2 (c) 1 (d) -2/19 (e) -0.2
c
What is the third smallest value in 4, -5, 88?
88
What is the biggest value in 4, -1/7, 3, 8?
8
What is the second smallest value in 165, -0.1, -2/7?
-0.1
Which is the fourth smallest value? (a) 2/17 (b) 4 (c) -39 (d) 3
b
What is the third biggest value in 0.2, -2/3, 781/6?
-2/3
Which is the third smallest value? (a) 904 (b) -1 (c) 0.4
a
Which is the third smallest value? (a) -5/3 (b) 54 (c) 2 (d) -5
c
What is the second biggest value in 1/2, -3, 3/8, 5, 13?
5
What is the fifth biggest value in -5, -2/17, -3, -1/10, -33?
-33
What is the fifth biggest value in 14, 0.2, 10, -1, 5?
-1
Which is the third biggest value? (a) -1 (b) -2/7 (c) 0.11
a
Which is the second smallest value? (a) 14 (b) 45/4 (c) 0
b
Which is the second smallest value? (a) 14 (b) 7 (c) 0.3 (d) 0.4
d
What is the third smallest value in 29, -2/3, 2.6?
29
What is the fourth smallest value in -1/5, -0.3, -5, -11?
-1/5
What is the third biggest value in -25, -0.3, 1?
-25
Which is the third biggest value? (a) 3 (b) 0.1 (c) 9
b
What is the second smallest value in -100, 0.1, 0.3, 3, -5?
-5
Which is the second biggest value? (a) -64 (b) 1.2 (c) -7
c
Which is the fifth biggest value? (a) -0.07 (b) -5 (c) -2 (d) 1/3 (e) 0.3
b
What is the smallest value in 302, -32, 4/5?
-32
Which is the biggest value? (a) 1/2 (b) 1 (c) 5
c
What is the second smallest value in 88/9, 0, 2/5, 0.3?
0.3
Which is the second smallest value? (a) -1/3 (b) 115 (c) 5 (d) -1
a
Which is the second smallest value? (a) 4 (b) -0.3 (c) 5/4 (d) 6/7
d
Which is the third biggest value? (a) -0.25 (b) -0.2 (c) -1/7 (d) 1
b
What is the fourth smallest value in 4, -5, 20, 0.2?
20
Which is the second smallest value? (a) -3 (b) 11 (c) -77
a
What is the third biggest value in -1, 0, -25/6, -1/14, 5?
-1/14
What is the biggest value in 2, 2/7, 324?
324
What is the second biggest value in -0.4, 3, -34, -5?
-0.4
Which is the second biggest value? (a) 4 (b) -2/53 (c) -5 (d) 6
a
Which is the smallest value? (a) -1083 (b) 1 (c) 0
a
Which is the fourth smallest value? (a) -2/5 (b) 2 (c) 4 (d) 1 (e) 0.18
b
What is the fourth biggest value in -1/6, 0.052, 0.2, -0.1?
-1/6
Which is the third biggest value? (a) -113 (b) 2 (c) -8
a
Which is the smallest value? (a) 8.2 (b) -0.2 (c) -2/7 (d) 0.2
c
What is the biggest value in -5, 0.4, -23, -2?
0.4
Which is the biggest value? (a) -2/9 (b) -0.166 (c) -0.2
b
What is the smallest value in -3, 3, 2.29?
-3
What is the third smallest value in 0.4, 5, -0.2?
5
What is the second smallest value in -3, 9, 3/4, 4/7?
4/7
Which is the second biggest value? (a) 1 (b) 0.3 (c) -124
b
Which is the fourth biggest value? (a) 486 (b) 0 (c) -4 (d) 0.3
c
Which is the fourth smallest value? (a) -0.4 (b) 1/40 (c) -10 (d) -1 (e) 0.04
b
Which is the second smallest value? (a) -2 (b) 0 (c) -2/11 (d) 2/11 (e) -16
a
What is the fourth smallest value in 6, -0.08, 4/7, -3, -12?
4/7
What is the second smallest value in -1, 34, 1/4?
1/4
What is the smallest value in 10/23, -1, -1/5?
-1
Which is the smallest value? (a) 2 (b) 85 (c) -2
c
What is the fifth biggest value in -5, 2, -66, 0.1, 5?
-66
What is the fifth smallest value in 5, -5, -15, -1/4, -4?
5
Which is the second biggest value? (a) 0 (b) 6 (c) -1/52
a
Which is the biggest value? (a) 2 (b) -38 (c) -24
a
What is the second smallest value in -0.9, -1, -5, -0.4?
-1
What is the second smallest value in 180, 0.2, -0.5?
0.2
What is the fourth smallest value in -0.1, 33, 1/3, 3, -3?
3
What is the second smallest value in 0.1, 0.3, 20, 0.4?
0.3
What is the second smallest value in 2/17, 0.5, 15?
0.5
What is the third biggest value in 2/7, 0.3, 44?
2/7
What is the second biggest value in 5, -8, 3, 0.4, 22?
5
Which is the third smallest value? (a) 0.5 (b) 2 (c) 0.3 (d) -0.1
a
What is the second biggest value in -0.09, -2, -0.05?
-0.09
What is the third biggest value in 24.4, 4/5, 3?
4/5
Which is the third smallest value? (a) -3 (b) 5 (c) -1/10 (d) -1
c
Which is the second smallest value? (a) 0.2 (b) -1 (c) 636 (d) 3 (e) -1/2
e
Which is the second biggest value? (a) -2 (b) -1/2 (c) -6 (d) 15
b
Which is the smallest value? (a) -1/4 (b) -0.01 (c) 0.5 (d) -0.3 (e) -1/13
d
Which is the smallest value? (a) 274 (b) 4 (c) 5 (d) -1
d
Which is the third biggest value? (a) -5 (b) -2/7 (c) 3
a
Which is the smallest value? (a) 5 (b) -35 (c) -3 (d) 1
b
Which is the fourth smallest value? (a) 2 (b) 3/8 (c) 89 (d) 5 (e) 4
d
What is the fifth smallest value in 0.1, 0.52, 0, -2/11, -2?
0.52
What is the third biggest value in 2/5, 0, 4?
0
What is the third biggest value in -1/17, 5, 3, -0.6?
-1/17
What is the fourth biggest value in 0.13, -5, 3, -0.3?
-5
What is the biggest value in -0.15, -0.08, -2?
-0.08
What is the third biggest value in 4.2, -25, 4/7, 2, 1/6?
4/7
What is the smallest value in -143, 1, -3?
-143
What is the fourth smallest value
|
{
"pile_set_name": "DM Mathematics"
}
|
{f: 2, z: 2, r: 6, j: 3, x: 1, y: 1}. Give prob of picking 1 f and 1 y.
2/105
Calculate prob of picking 2 p when two letters picked without replacement from ppwpwpkpppppwpppkpl.
26/57
What is prob of picking 2 e and 1 y when three letters picked without replacement from {y: 4, e: 2}?
1/5
Two letters picked without replacement from {v: 2, k: 1}. What is prob of picking 2 v?
1/3
Calculate prob of picking 1 d, 2 x, and 1 n when four letters picked without replacement from {g: 1, k: 2, d: 5, n: 6, x: 2}.
3/182
Calculate prob of picking 1 p, 1 o, and 2 q when four letters picked without replacement from {o: 2, p: 2, q: 2}.
4/15
What is prob of picking 1 r, 2 x, and 1 s when four letters picked without replacement from xxrsrxrxs?
2/7
Two letters picked without replacement from llbtllablllll. What is prob of picking 1 b and 1 l?
3/13
Two letters picked without replacement from {w: 1, l: 2, t: 1, j: 1}. Give prob of picking 1 l and 1 w.
1/5
What is prob of picking 2 a and 1 m when three letters picked without replacement from {m: 11, a: 3}?
33/364
What is prob of picking 1 x and 3 g when four letters picked without replacement from mmmxxkmgkxmkkgmmkkkm?
0
Calculate prob of picking 1 h and 3 y when four letters picked without replacement from yuyhyuy.
4/35
Calculate prob of picking 1 t, 1 g, and 1 u when three letters picked without replacement from tqttutgpqtqqtqtpttq.
3/323
Four letters picked without replacement from ggggggg. What is prob of picking 4 g?
1
Three letters picked without replacement from {p: 1, f: 1, c: 1, t: 1, b: 1}. What is prob of picking 1 f, 1 p, and 1 b?
1/10
Two letters picked without replacement from {f: 1, a: 1, y: 2, n: 1, g: 1, p: 1}. Give prob of picking 1 g and 1 y.
2/21
Three letters picked without replacement from {n: 4, c: 2, l: 1, j: 2, q: 1, z: 4}. What is prob of picking 2 c and 1 n?
1/91
Three letters picked without replacement from jjgegggjjggjjjjjjggg. What is prob of picking 1 g and 2 j?
27/76
Four letters picked without replacement from jtjjjjjjjjjj. What is prob of picking 4 j?
2/3
Two letters picked without replacement from ocoocooooooo. Give prob of picking 2 o.
15/22
Two letters picked without replacement from mukkuumuffk. Give prob of picking 1 k and 1 f.
6/55
Calculate prob of picking 2 k when two letters picked without replacement from okkkokkkokkookkokk.
22/51
Calculate prob of picking 1 w and 1 o when two letters picked without replacement from ooowooowoow.
24/55
Three letters picked without replacement from {o: 4, w: 1, x: 5, j: 1, u: 1, n: 5}. What is prob of picking 1 n, 1 j, and 1 x?
5/136
What is prob of picking 2 s and 1 i when three letters picked without replacement from ifiifsissfsssssfi?
7/34
What is prob of picking 1 z and 1 k when two letters picked without replacement from knknnnhnnnnznhkkhn?
4/153
Four letters picked without replacement from lcllxllcbldlcdglxd. What is prob of picking 2 l, 1 g, and 1 c?
7/255
Calculate prob of picking 2 f and 1 c when three letters picked without replacement from {m: 8, i: 5, x: 1, f: 5, c: 1}.
1/114
What is prob of picking 1 d, 1 h, and 1 v when three letters picked without replacement from {d: 5, v: 1, h: 5}?
5/33
Four letters picked without replacement from oqiqoiqoqwqqw. Give prob of picking 2 q and 2 o.
9/143
Calculate prob of picking 1 o and 1 l when two letters picked without replacement from {v: 4, o: 1, l: 3}.
3/28
What is prob of picking 1 h, 1 d, and 2 u when four letters picked without replacement from yuhyuyuyuuuhyyyud?
3/170
What is prob of picking 2 w when two letters picked without replacement from swuw?
1/6
What is prob of picking 3 i when three letters picked without replacement from {i: 1, v: 1, u: 1, g: 1, b: 1}?
0
Three letters picked without replacement from {t: 1, c: 2, s: 1, q: 2}. Give prob of picking 1 t and 2 c.
1/20
Three letters picked without replacement from {m: 5, c: 13}. What is prob of picking 3 m?
5/408
Four letters picked without replacement from hhpxpxhxhhpxph. What is prob of picking 2 p and 2 x?
36/1001
What is prob of picking 3 r when three letters picked without replacement from {j: 1, v: 7, r: 11}?
55/323
Three letters picked without replacement from {b: 9, s: 2, y: 2}. What is prob of picking 2 s and 1 b?
9/286
Calculate prob of picking 3 r and 1 w when four letters picked without replacement from wwrrrrrwrwwrrrrrrrw.
143/323
What is prob of picking 1 k, 1 s, and 1 p when three letters picked without replacement from kkkbpiksks?
1/12
Calculate prob of picking 1 f, 1 g, and 1 e when three letters picked without replacement from efefegefffegegf.
108/455
Two letters picked without replacement from {t: 5, e: 3, h: 1, q: 4}. What is prob of picking 1 q and 1 t?
10/39
What is prob of picking 1 m and 1 u when two letters picked without replacement from {r: 5, u: 4, m: 2}?
8/55
What is prob of picking 1 i and 1 z when two letters picked without replacement from {z: 2, i: 7}?
7/18
Two letters picked without replacement from jeeeejeejee. Give prob of picking 2 j.
3/55
Two letters picked without replacement from {l: 3, o: 2}. What is prob of picking 2 o?
1/10
What is prob of picking 1 x and 1 u when two letters picked without replacement from {u: 5, f: 2, y: 3, x: 7}?
35/136
What is prob of picking 1 y and 1 x when two letters picked without replacement from {x: 3, y: 1, g: 12}?
1/40
Two letters picked without replacement from qmmci. Give prob of picking 1 m and 1 i.
1/5
Two letters picked without replacement from {s: 4, g: 3, z: 2, f: 4, j: 4, l: 3}. Give prob of picking 1 s and 1 z.
4/95
Calculate prob of picking 1 l and 1 e when two letters picked without replacement from {u: 1, i: 1, l: 1, e: 2, k: 2}.
2/21
What is prob of picking 1 d and 1 l when two letters picked without replacement from yddfyfylysd?
3/55
Two letters picked without replacement from nndn. Give prob of picking 1 d and 1 n.
1/2
Calculate prob of picking 3 n and 1 a when four letters picked without replacement from narnaan.
3/35
What is prob of picking 1 u and 1 p when two letters picked without replacement from cyypuyyxypcycyc?
2/105
What is prob of picking 2 w when two letters picked without replacement from onobbwbbwbofowwwobb?
10/171
Two letters picked without replacement from {w: 1, b: 1, m: 11, j: 6}. Give prob of picking 1 j and 1 b.
2/57
Three letters picked without replacement from yyyryrryyyyybyyy. What is prob of picking 1 b and 2 r?
3/560
Two letters picked without replacement from xqqgxzzxxxxzqxxxxqx. What is prob of picking 1 z and 1 x?
11/57
Calculate prob of picking 2 c when two letters picked without replacement from {c: 4}.
1
Three letters picked without replacement from raeaapccpcerppp. Give prob of picking 2 a and 1 p.
3/91
Calculate prob of picking 2 g when two letters picked without replacement from qvqqqgqgqvvvvvgvv.
3/136
Two letters picked without replacement from {p: 1, g: 4, h: 9}. What is prob of picking 1 h and 1 g?
36/91
Two letters picked without replacement from xxwxwwwwwwxwxw. Give prob of picking 2 x.
10/91
Two letters picked without replacement from kkkakzaffzz. What is prob of picking 2 z?
3/55
Calculate prob of picking 2 c when two letters picked without replacement from {j: 2, i: 3, c: 6, h: 1}.
5/22
Two letters picked without replacement from {j: 4, o: 1, l: 1, i: 2, y: 1}. What is prob of picking 1 y and 1 l?
1/36
Three letters picked without replacement from zcczczccczcczc. Give prob of picking 2 z and 1 c.
45/182
Two letters picked without replacement from rrtrrtrt. What is prob of picking 2 r?
5/14
What is prob of picking 2 a, 1 g, and 1 p when four letters picked without replacement from iaagagepeapppeap?
5/91
Two letters picked without replacement from duubdbudxdxu. What is prob of picking 1 u and 1 x?
4/33
Calculate prob of picking 3 k and 1 e when four letters picked without replacement from {k: 14, e: 4}.
364/765
Two letters picked without replacement from {r: 1, m: 4, n: 1, e: 2, q: 1}. Give prob of picking 1 m and 1 e.
2/9
Calculate prob of picking 2 f when two letters picked without replacement from rfrfrrfrffrrfrffffr.
5/19
Four letters picked without replacement from rynsnsl. Give prob of picking 1 n, 1 r, 1 y, and 1 l.
2/35
Calculate prob of picking 1 b and 1 l when two letters picked without re
|
{
"pile_set_name": "DM Mathematics"
}
|
721892444500 = 0.
49893330
Find o, given that o**4 - 90*o**3 - 45624*o**2 + 370240*o = 0.
-178, 0, 8, 260
Factor -a**3/3 - 2983*a**2 - 125075*a/3 + 44675.
-(a - 1)*(a + 15)*(a + 8935)/3
Suppose 5*f**3/2 - 4654143*f**2/4 - 814476*f - 465415/4 = 0. Calculate f.
-1/2, -1/5, 465415
What is g in -3*g**4/5 + 1044546*g**3/5 - 4178148*g**2/5 + 4178136*g/5 = 0?
0, 2, 348178
Let l**3/7 - 18250*l**2/7 + 39075*l = 0. What is l?
0, 15, 18235
Suppose -2*s**3 + 1432*s**2 + 70014*s + 68580 = 0. Calculate s.
-45, -1, 762
Suppose -u**5/5 - 197*u**4/5 - 663*u**3 + 2389*u**2 + 3316*u/5 - 11748/5 = 0. Calculate u.
-178, -22, -1, 1, 3
Determine u, given that -2*u**4/3 - 4553*u**3/6 - 172865*u**2/2 - 9341948*u/3 - 107029720/3 = 0.
-1015, -269/4, -28
Find w such that 4*w**4 + 86130120*w**3 - 172260256*w**2 = 0.
-21532532, 0, 2
Factor 24*m**4 + 38452*m**3 + 15092704*m**2 - 248702780*m.
4*m*(m + 809)**2*(6*m - 95)
Find p such that -p**2 + 12171*p + 146196 = 0.
-12, 12183
Factor 3*q**2/2 - 138831246*q + 3212352477652086.
3*(q - 46277082)**2/2
Determine o, given that -14*o**3/9 + 5112412*o**2/9 + 3651734*o/9 - 1460692/9 = 0.
-1, 2/7, 365173
Factor -3*s**4 + 27699*s**3 - 93923280*s**2 + 137558995200*s - 72476591616000.
-3*(s - 2640)**3*(s - 1313)
Let -4*n**4 + 13141732*n**3 + 26283476*n**2 + 13141740*n = 0. Calculate n.
-1, 0, 3285435
Factor 3*w**3/4 + 5888901*w**2/2 + 11559718329267*w/4.
3*w*(w + 1962967)**2/4
Find z such that 7*z**3/2 + 14820*z**2 + 245063*z/2 - 95085 = 0.
-4226, -9, 5/7
Determine s so that s**4 + 11277*s**3 - 101595*s**2 - 236761*s + 2765070 = 0.
-11286, -5, 7
What is t in -5*t**5 + 167900*t**4 - 2349620*t**3 = 0?
0, 14, 33566
Factor -5*w**3 + 2828935*w**2 - 265886755*w + 6248079185.
-5*(w - 565693)*(w - 47)**2
Let -3*b**3 + 79425*b**2 + 317739*b + 238311 = 0. Calculate b.
-3, -1, 26479
Determine v so that -2*v**5/7 - 377668*v**4/7 - 17829895058*v**3/7 - 10186785016*v**2 + 40754045920*v + 1141016604800/7 = 0.
-94415, -4, 4
Solve -12*a**5 - 159164*a**4 + 53088*a**3 + 424464*a**2 + 212224*a = 0 for a.
-13264, -1, -2/3, 0, 2
Determine k so that -3*k**2 - 26043*k + 3893148 = 0.
-8828, 147
Let p**4 - 1813*p**3/3 + 218294*p**2/3 + 821264*p/3 + 149984 = 0. What is p?
-3, -2/3, 172, 436
Suppose y**3/6 - 4637*y**2/6 + 741995*y/3 + 497756 = 0. What is y?
-2, 348, 4291
Determine d so that 3*d**5 - 51*d**4 - 3348*d**3 - 30000*d**2 - 7392*d + 162288 = 0.
-14, -3, 2, 46
Find z, given that -18*z**5/5 - 5538*z**4/5 - 337166*z**3/5 - 105438*z**2 + 1159056*z/5 - 87480 = 0.
-225, -81, -3, 2/3
Suppose o**4 - 129*o**3 - 3775511*o**2 + 2997518205*o - 5979933350 = 0. Calculate o.
-2203, 2, 1165
Let -y**2/2 + 4189*y/2 + 8386 = 0. Calculate y.
-4, 4193
Suppose 2*y**3 - 258*y**2 + 8980*y - 70224 = 0. What is y?
11, 42, 76
What is c in -256*c**4/3 + 8432672*c**3/3 - 1054081*c**2/3 + 10980*c = 0?
0, 1/16, 32940
Factor -2*m**3/7 + 1293454*m**2/7 - 29875507570*m + 209127259538/7.
-2*(m - 323363)**2*(m - 1)/7
Find q, given that -5*q**5 + 8205*q**4 - 784795*q**3 + 22116455*q**2 - 135466320*q + 114126460 = 0.
1, 7, 46, 1541
Factor -6055*u**2 + 219057800*u - 361780.
-5*(u - 36178)*(1211*u - 2)
Suppose -2*i**4/7 + 26228*i**3/7 + 7757952*i**2/7 + 586371500*i/7 + 391598350 = 0. Calculate i.
-143, -5, 13405
Let -2*s**5 - 1170*s**4 - 6958*s**3 - 5790*s**2 = 0. Calculate s.
-579, -5, -1, 0
Suppose -4*u**2 + 2026292*u - 2026288 = 0. Calculate u.
1, 506572
Factor 3*v**2 + 788259*v - 1576530.
3*(v - 2)*(v + 262755)
Factor f**3/6 + 8359*f**2/6 + 83390*f/3.
f*(f + 20)*(f + 8339)/6
Find r, given that -5*r**5 - 39030*r**4 - 934715*r**3 - 6811470*r**2 - 17277860*r - 14163240 = 0.
-7782, -13, -7, -2
Factor -4*p**3/7 - 2755272*p**2/7 - 148775940*p/7 - 2008435824/7.
-4*(p + 27)**2*(p + 688764)/7
Factor 2*q**3/7 + 37609332*q**2/7.
2*q**2*(q + 18804666)/7
Let p**4 - 9674*p**3 - 1603108*p**2 - 3177190*p - 1583757 = 0. What is p?
-161, -1, 9837
Suppose -4*v**4/5 + 7634800*v**3 - 76347988*v**2/5 + 38173992*v/5 = 0. Calculate v.
0, 1, 9543498
Find g such that 3*g**5 + 101535*g**4 + 1015137*g**3 + 2943669*g**2 + 811896*g - 4872240 = 0.
-33835, -4, -3, 1
Suppose -2*r**3/5 + 612*r**2/5 + 15624*r/5 + 14256 = 0. What is r?
-18, -6, 330
Factor -b**3 - 5684*b**2 - 5683*b.
-b*(b + 1)*(b + 5683)
Solve -s**2 + 3318542*s - 2753180251441 = 0.
1659271
Determine j, given that 4*j**5 - 30680*j**4 - 1077407*j**3 - 9961375*j**2 - 9168661*j - 2226745 = 0.
-17, -1/2, 7705
Determine a, given that 61*a**5 - 28794*a**4 - 145395*a**3 + 412156*a**2 - 13356*a = 0.
-7, 0, 2/61, 2, 477
Let 20*s**4 - 318024*s**3 - 7579516*s**2 - 12485376*s + 2802800 = 0. What is s?
-22, -2, 1/5, 15925
Factor -4*h**2 - 659336*h + 151858880.
-4*(h - 230)*(h + 165064)
Let -3*w**3 + 129*w**2 - 1245*w - 1377 = 0. Calculate w.
-1, 17, 27
Suppose -3*j**3 + 369*j**2 + 136692*j + 136320 = 0. Calculate j.
-160, -1, 284
Suppose 5373*o**4/5 + 37864*o**3/5 - 4993*o**2/5 - 37864*o/5 - 76 = 0. What is o?
-190/27, -1, -2/199, 1
What is c in -2*c**5/3 + 14102*c**4/9 + 65930*c**3/9 + 23578*c**2/9 - 65924*c/9 - 12560/3 = 0?
-4, -1, -2/3, 1, 2355
Factor -p**4 - 4538*p**3 + 54564*p**2 - 163800*p.
-p*(p - 6)**2*(p + 4550)
Factor i**3/3 - 5782468*i**2/3 - 57824780*i/3.
i*(i - 5782478)*(i + 10)/3
Suppose 267908*l**3 - 2*l**2 - 2411172*l + 18 = 0. What is l?
-3, 1/133954, 3
Determine z, given that 5*z**5/2 + 1749*z**4/4 - 3715*z**3/4 + 177*z**2/2 = 0.
-177, 0, 1/10, 2
Factor 2*b**3/3 + 18532296*b**2 + 128792248136856*b.
2*b*(b + 13899222)**2/3
Factor -41*w**4 - 112212*w**3 + 13685*w**2.
-w**2*(w + 2737)*(41*w - 5)
Factor 2*o**3 + 10288820*o**2 + 13232487412864*o + 26464933670464.
2*(o + 2)*(o + 2572204)**2
Suppose -5*w**3 - 47730*w**2 + 908775*w + 956500 = 0. What is w?
-9565, -1, 20
What is g in -5*g**2 + 11685490*g = 0?
0, 2337098
What is m in -2*m**5/3 - 844*m**4/3 - 71918*m**3/3 + 128708*m**2 + 152400*m = 0?
-300, -127, -1, 0, 6
Determine x so that 9*x**3 + 1283*x**2 + 41079*x + 39805 = 0.
-95, -419/9, -1
Solve -q**3/2 - 165780*q**2 - 3315450*q - 16577000 = 0 for q.
-331540, -10
Determine j, given that -4*j**2/7 - 1240188*j/7 - 4960688/7 = 0.
-310043, -4
Suppose -h**2/4 + 90945963*h/2 - 8271168185997369/4 = 0. What is h?
90945963
Solve -4*u**5 - 2028*u**4 - 167544*u**3 + 520976*u**2 - 8160*u - 694656 = 0.
-402, -108, -1, 2
Determine q so that q**3 - 900145*q**2 - 82819688*q - 1904901492 = 0.
-46, 900237
Solve -2*b**4 - 730*b**3 - 66326*b**2 - 130470*b - 64872 = 0.
-204, -159, -1
Let -7*z**4/4 - 4175*z**3 + 1261321*z**2/4 - 179507*z/2 = 0. What is z?
-2459, 0, 2/7, 73
Let -4*f**3 - 854280*f**2 - 192009596*f + 192863880 = 0. Calculate f.
-213345, -226, 1
Factor 5*m**2 + 628420*m - 24515985.
5*(m - 39)*(m + 125723)
Determine v, given that v**2 - 44788*v - 447980 = 0.
-10, 44798
Solve -9*i**5 + 19203*i**4 + 25662*i**3 - 89682*i**2 + 25611*i + 19215 = 0 for i.
-3, -1/3, 1, 2135
Determine g, given that 4*g**3 + 167832*g**2 + 2181228*g + 3691160 = 0.
-41945, -11, -2
What is w in -3*w**3 + 2380101*w**2 + 4760211*w + 2380107 = 0?
-1, 793369
Factor -u**2 - 3093*u - 1973700.
-(u + 900)*(u + 2193)
Solve -1560001*u**3 + 9022776*u**2 + 2005155*u + 109350 = 0 for u.
-135/1249, 6
Factor 2*a**2 + 11674*a - 1832940.
2*(a - 153)*(a + 5990)
Determine g, given that -g**4/4 - 313*g**3 + 335663*g**2 - 68311848*g - 137968848 = 0.
-1994, -2, 372
Determine i so that 4*i**2 + 62340*i - 124696 = 0.
-15587, 2
Find p, given that 62*p**5/3 + 228182*p**4 + 1890577796*p**3/3 + 1929806676*p**2 + 5909844542*p/3 + 670105942 = 0.
-5519, -33/31, -1
Factor 48*n**2/5 + 737036*n/5 - 6083814/5.
2*(4*n - 33)*(6*n + 92179)/5
Factor 4*o**4 + 7971552*o**3 + 3971594608984*o**2 - 7943213132640*o + 3971610552100.
4*(o - 1)**2*(o + 996445)**2
What is c in -c**3/5 + 895118*c**2/5 - 1432179*c + 2685330 = 0?
3, 5, 895110
Solve v**3 - 14902*v**2 + 416547*v - 1115550 = 0 for v.
3, 25, 14874
Find d, given that 2*d**2 + 152272*d = 0.
-76136, 0
Factor -c**3/3 + 3887*c**2 - 11372280*c + 237106800.
-(c - 5820)**2*(c - 21)/3
Suppose -124*s**5 + 24981652*s**4 - 1677641765580*s**3 + 37553938765803900*s**2 + 2422841741991000*s = 0. Calculate s.
-2/31, 0, 67155
Solve -2*g**5/13 + 48*g**4/13 + 1284*g**3/13 - 3784*g**2/13 - 27858*g/13 + 6120 = 0 for g.
-17, -5, 3, 4, 39
What is y in -2*y**4/5 - 114*y**3/5 + 4872*y**2/5 + 64024*y/5 +
|
{
"pile_set_name": "DM Mathematics"
}
|
e closest to -1? (a) -48 (b) -3/7 (c) 3/58 (d) 0 (e) 560
b
Which is the closest to 69? (a) -293 (b) 2/17 (c) 1/4 (d) 2
d
Which is the nearest to 2/7? (a) -0.2 (b) -0.3 (c) -2 (d) 41068 (e) 5
a
Which is the nearest to 3/5? (a) 13/131 (b) -7 (c) 4 (d) -0.1
a
Which is the nearest to 0? (a) -45/7 (b) -2/5 (c) -3/7 (d) -3 (e) 361 (f) 3/2
b
What is the nearest to 0 in -37, -2993, -3, 4?
-3
What is the closest to -1/2 in -99, 152, 0.03?
0.03
What is the nearest to -1/10 in 617, 0, 1?
0
Which is the closest to -14? (a) 22 (b) 1/5 (c) 24 (d) -7 (e) -0.5
d
What is the nearest to -1/2 in 43, -0.0106, 4007?
-0.0106
What is the nearest to -5 in 5, -13.43, 421, 3, -5?
-5
What is the nearest to -1/2 in -25, 0.5, 10, -1241?
0.5
Which is the nearest to 2/7? (a) -986 (b) 1/9 (c) -1 (d) -0.01
b
Which is the closest to -53? (a) -29 (b) 1/6 (c) 1/12 (d) 5/2
a
What is the nearest to 1 in 2240/33, -0.04, 2/15?
2/15
What is the closest to 3/11 in -4, 0.1, -0.02, 6304?
0.1
What is the closest to 1.8 in 2/11, -1/4, -244, 33/10?
33/10
What is the nearest to 2/3 in -495, 50, -93/4?
-93/4
Which is the closest to -1/4? (a) -3/82 (b) 0.2 (c) -0.0133
a
What is the closest to -2 in -4, 1/16, 0.17, -1020?
-4
Which is the nearest to -1? (a) -1 (b) -1/216 (c) 2/1729
a
What is the closest to -7562/9 in -10, 5/13, -0.05?
-10
What is the closest to 17 in -210, 5/4, 6/35, 5?
5
What is the closest to -7/2 in -0.4, 46, 2/11, -0.2, 1?
-0.4
Which is the nearest to 5/8? (a) 0 (b) -2/639 (c) -66 (d) 1/4 (e) 0.4
e
What is the nearest to 7 in -3, -1, 5, -4/3, -5730?
5
Which is the nearest to -200725? (a) -1 (b) -2 (c) -0.2 (d) -7/6
b
What is the closest to 1/4 in -42, 0, 4/23649?
4/23649
What is the closest to -0.5 in 4, 50, -5/8, -1113?
-5/8
Which is the closest to -18? (a) 5 (b) -1 (c) 0 (d) -2 (e) 230 (f) -192
d
Which is the nearest to -3671? (a) 2/43 (b) -7 (c) 1
b
What is the nearest to 4 in -1/23, 13, -3, -14?
-1/23
What is the closest to -826.5 in 0.1, -1/4, -109?
-109
Which is the closest to 1/2? (a) 0.3 (b) -5 (c) -0.14 (d) 1 (e) 0.2052
a
What is the closest to -1/3 in -8, -43569/4, -35?
-8
What is the closest to -2 in 2/5, -4, -2, -12634?
-2
Which is the nearest to -0.1? (a) -9 (b) 0.2 (c) 0.048 (d) -2/19 (e) -2 (f) 0.106
d
What is the closest to -0.1 in 28, -658, 6/13, 2/7?
2/7
Which is the nearest to 1/3? (a) 3/257 (b) -36.08 (c) 0.02
c
Which is the closest to -0.38? (a) -3.51 (b) 6/7 (c) -2/11 (d) -2/3 (e) -1 (f) 3
c
Which is the closest to -5/36? (a) -1 (b) -3 (c) 1/2471
c
Which is the closest to -0.5? (a) 2/1869 (b) 3/20 (c) 0.2 (d) 0 (e) 4/9 (f) 11
d
What is the nearest to 0.2 in 1115, -67, 2/3, -14, -1?
2/3
What is the closest to 0 in -4, -1/7, -20/3, 4.2555, -2/3?
-1/7
Which is the closest to -17.5? (a) 805 (b) 0.4 (c) 5
b
What is the closest to 3 in -22.1, -4, -1, 1/2, -37?
1/2
Which is the nearest to 12? (a) -5/2 (b) 0.4 (c) -1/2 (d) -8.5 (e) -27/5
b
Which is the closest to -4? (a) -3/20 (b) 2/17 (c) -0.03 (d) 2 (e) -1/17 (f) 1
a
What is the closest to 1/8 in 0.4, -7, 0.1, 52806?
0.1
Which is the closest to 2/11? (a) 2 (b) 0.5 (c) -1 (d) 1/3 (e) 0.3 (f) 43122
e
Which is the nearest to 1701? (a) 17 (b) 2/13 (c) -1
a
Which is the nearest to -7? (a) -5 (b) 0.24 (c) -0.3 (d) -25 (e) -0.15
a
What is the closest to 3 in -37, 12, -26, 1/231?
1/231
What is the nearest to 1 in 0.04, 4/9, -7, 0.0033, 1?
1
What is the nearest to 2.02 in -0.4, -4, 3, -2, 71?
3
Which is the nearest to -2/3? (a) 0.001 (b) 1.15 (c) -2.5 (d) 0.1
a
Which is the nearest to -8977115? (a) -0.1 (b) -5 (c) -0.5 (d) -1/6
b
What is the closest to 1010 in 9, 1, 8, 0.1, 2/7?
9
What is the closest to 0.31 in -1/4, -0.6152, 3/7?
3/7
Which is the nearest to 0.4? (a) -0.7 (b) -0.4 (c) -0.114 (d) 2/7 (e) -145 (f) -0.3
d
Which is the closest to 1.1? (a) 3 (b) -1 (c) -0.2 (d) -16 (e) 38755 (f) 0
f
Which is the closest to -0.23? (a) 0 (b) 3 (c) 2 (d) 0.025
a
Which is the nearest to 0.2? (a) 0.028 (b) 305 (c) -65
a
What is the nearest to -2 in -0.02, 0.4, -199, -3/26, 13/3?
-3/26
Which is the nearest to 1? (a) 6 (b) 5 (c) -7680
b
What is the nearest to 0.123 in 0.5, -0.5, 1/32, -1.4, 2/13?
2/13
What is the nearest to -0.06 in -58, -0.1, 2, -2, 0, -71/4?
-0.1
What is the closest to -1 in -8/193, 10, 9.8?
-8/193
What is the closest to -0.08 in -3278, 119, 2/9?
2/9
What is the nearest to 1/2 in -14/5, -0.1, 153, 13?
-0.1
What is the closest to 2 in -2/9, -0.3, 4, -1/2, 0.02, 0.02905?
0.02905
What is the closest to 13 in -3, -21070, -1?
-1
What is the nearest to 0 in 830.98, 0.5, 21, -15?
0.5
Which is the nearest to -2? (a) 7 (b) -2 (c) -0.5 (d) -17/4 (e) 29/5
b
Which is the closest to 0? (a) -14.23 (b) 2105 (c) -5
c
Which is the nearest to 0? (a) 3122 (b) -0.1 (c) 908
b
Which is the closest to 2? (a) 16492 (b) 1.11 (c) -14 (d) -0.4
b
Which is the nearest to -7? (a) 11 (b) -59 (c) -16/55
c
What is the nearest to 740 in -2, -1/4, 24, 2.5, 1/2?
24
What is the closest to 0.1 in 23.57, -0.261, 0, 2, 0.4?
0
What is the nearest to 210 in 4, -1/2, -8, 1/4, -4?
4
Which is the closest to -6? (a) 0.096 (b) 4 (c) 0.1 (d) -0.5 (e) -1/165
d
What is the closest to 2 in -3, 0.89, 0.0035, 1/28, -1/4?
0.89
What is the closest to 68/5 in 5, -0.2, 4, -3/8, -2.5?
5
Which is the closest to -61? (a) -0.4 (b) 364 (c) -4 (d) -0.0108
c
Which is the nearest to -0.07? (a) -3 (b) -26 (c) 3/4 (d) 9/130
d
Which is the nearest to -338? (a) 0 (b) -0.01 (c) -163 (d) 4
c
Which is the nearest to 0.1? (a) 3 (b) 1353975 (c) 0.3 (d) 2
c
What is the closest to -1/7 in -4, -45086, -604?
-4
Which is the closest to -1207? (a) 1/9 (b) -4 (c) -1 (d) 8
b
Which is the closest to -187? (a) -1 (b) 2/3 (c) -12 (d) -4 (e) 3 (f) -1/2
c
Which is the closest to 0.65? (a) -2.25 (b) -5 (c) 0.29 (d) -0.4
c
What is the nearest to 0 in 100, 2, -5, 42.45?
2
Which is the closest to -381? (a) 2691 (b) -1/6 (c) 6
b
What is the closest to 0.19 in -3, 0, -7435, 4, 0.2, -7?
0.2
Which is the nearest to -2/9? (a) 4 (b) 354271 (c) -8/3
c
What is the nearest to 22/9 in -0.2, 4, -3/7, -10, 219?
4
What is the nearest to 0.1 in 0.048, 12986, -2/9, -2, 0?
0.048
Which is the closest to 6/59? (a) 1/6 (b) -7/5 (c) 3 (d) 4/3 (e) 0.4
a
Which is the nearest to -7? (a) -0.4 (b) -253 (c) 6 (d) -1/5
a
What is the nearest to -1.1 in 1/2, -4/17, 15031?
-4/17
Which is the closest to 1/6? (a) 21 (b) -3 (c) 2 (d) 0.6 (e) -1/33
e
What is the nearest to 2/1763 in 2, -3768, -0.4, 0.2?
0.2
What is the nearest to 0.1 in 3/5, -13, -3, -48472?
3/5
What is the closest to -1 in -0.9, -1.67, -4, 6, 5?
-0.9
What is the closest to 0.2 in 4, -3/5, -126, 3416?
-3/5
Which is the nearest to -49? (a) 2/3 (b) -39 (c) -4049 (d) 1/2
b
Which is the closest to 0.11? (a) 4 (b) 5 (c) -1/2 (d) 0.07348
d
Which is the nearest to 107? (a) 58/17 (b) 1/30 (c) 5 (d) -11 (e) -1/2
c
What is the closest to -167 in -19, -3/37, 2, 0.4, 2/3, 2/7?
-19
Which is the closest to 2/9? (a) 5 (b) 4 (c) 194 (d) 2 (e) -15 (f) -2/3
f
Which is the nearest to 6662? (a) -0.2 (b) -0.38 (c) 0.1
c
What is the closest to -1/7 in 2, -0.4, -551, 1/4, -4?
-0.4
What is the nearest to -2/7 in 1.6, 3.41, -3, 10?
1.6
What is the nearest to 2 in 1/2, 11, 2.6326?
2.6326
Which is the nearest to 0? (a) 0.5 (b) -0.08 (c) -0.05 (d) 2771 (e) -34
c
What is the nearest to -1964 in -4, -1, -1/20, 7/4, 1?
-4
Which is the nearest to -1? (a) -1 (b) 5/2 (c) -0.1 (d) -1.227 (e) -288
a
What is the closest to -4/19 in 32, -5, 15?
-5
Which is the closest to 1? (a) -1 (b) -2 (c) -411.6 (d) 1/645
d
What is the nearest to 0 in 2/13, 5, 0.6, 94/331, -2/9?
2/13
What is the nearest to -1 in 76, -3, 28.55?
-3
What is the closest to -0.072 in -1/4, 4, -5/3, 2/31?
2/31
What is the closest to 0.15 in -0.2, 1, -87726?
-0.2
Which is the closest to 15.7? (a) -2/3 (b) 7 (c) 6
b
What is the nearest to 261 in -5, -28, 0.1, 497?
497
Which is the closest to 7? (a) 3 (b) 13/8 (c) 8.22 (d) -3
c
Which is the closest to 1/2? (a) 15 (b) -4 (c) -1/9 (d) -41 (e) 0.41 (f) -2
e
What is the nearest to -31.3 in -1/11, 1, 4, 1/629?
-1/11
Which is th
|
{
"pile_set_name": "DM Mathematics"
}
|
(3 + 0 - 1)*(-1 + 3*m + 1) + (0 + 2 - 1)*(-3 + 3 + 5*m) - m + 2*m - 2*m.
14*m
Expand (-19 - 72 + 13)*(-3*v + v + 0*v)*(-3*v + 0 + v**3 - 3 + 2*v).
156*v**4 - 156*v**2 - 468*v
Expand (d - 4*d + 2*d)*(-3*d - 3*d + 4*d) - 15 + 15 - 67*d**2.
-65*d**2
Expand 30*p + 39*p + 3*p**2 - 72*p + (-85 + 85 + 7*p)*(-4*p + 5*p - 2*p).
-4*p**2 - 3*p
Expand (0*w + 0*w + 2*w)*(-44*w - 70*w + 14*w)*(w**3 + 3*w**3 - 2*w**3).
-400*w**5
Expand (5*b + 6*b + 1 - 9*b)*(-301 + 301 + 27*b).
54*b**2 + 27*b
Expand (5 - 2 - 2)*(10*c**2 - 19 + 19 + (3*c + 3*c - 3*c)*(-5*c + 3*c + c)).
7*c**2
Expand (-4*x**2 + 0*x + 0*x)*(25*x**3 + 16*x**3 - 11*x**3).
-120*x**5
Expand (22*k - 17*k + k)*(2*k - 4*k + 5*k).
18*k**2
Expand (0 + 72*l - 48*l + 2)*(2*l - l + l).
48*l**2 + 4*l
Expand (-2 + 3 - 2)*(-2*k + 0*k + k)*(1488*k**3 - 3095*k**3 + 1063*k**3).
-544*k**4
Expand (f + 2*f - 4*f)*(22*f**2 + 43*f**2 - 33*f**2)*(0 + 2 + 0)*(-3*f + 6*f - f).
-128*f**4
Expand (0*r + r + 0*r)*(r**2 + 2*r**2 + 0*r**2) + (-4*r - 6*r - 5*r)*(-r**2 + 0*r**2 + 0*r**2).
18*r**3
Expand -2 + 0*r**2 - r**2 + 0*r**2 + (r + 2*r - 2*r + (-2*r + r + 3*r)*(0 + 3 - 1))*(r - 2 + 2).
4*r**2 - 2
Expand (-3*x - 2*x - 7*x)*(3*x**2 - x**4 + 2*x**4 - 5*x**2 + (-2 + 2 + x**3)*(x + 0*x + 2*x) + 0*x**4 - 3*x**4 + x**4).
-24*x**5 + 24*x**3
Expand -2*m**3 - 1 + 1 - 3*m**3 + 2*m**3 + 2*m**3 - 2*m**3 + 3*m**3 + m**3 + (-60 - 43 - 103)*(-3*m**3 - 11*m**2 + 11*m**2).
619*m**3
Expand (207*v - 422*v + 215*v + 514*v**2)*(-6*v + 3*v + 0*v).
-1542*v**3
Expand (16*v**2 - 27*v + 27*v - v**2 + 3*v**2 + 0*v**2 + (0 + v + 0)*(2*v - 2*v + 2*v) - 4 + 4 + v**2)*(11 + v**2 - 11) + 0 + 0 + 4*v**4.
25*v**4
Expand (-4*s + s - 4*s + (-4*s + 6*s - 4*s)*(-2 + 2 + 2))*(-8 - 11 + 6).
143*s
Expand 1576*h**3 + 1579*h**3 - 3191*h**3 + (0*h + 2*h - h)*(2*h**2 + 0*h**2 + 0*h**2).
-34*h**3
Expand (-1 + 1 - 2*r**3)*(251560 + r + r - 250815).
-4*r**4 - 1490*r**3
Expand (-41 + 41 + 9*x**2)*(-2*x**3 + 0*x**2 + 0*x**2) - 3 - 2*x**5 + 3 - 2*x**2 + 0*x**5 - 3*x**5 - 3*x**5.
-26*x**5 - 2*x**2
Expand (924*o - 465*o - 464*o)*(-2*o - 2*o + 3*o).
5*o**2
Expand -g - 2 + 2 + (-1 + 0 + 0)*(g - 2*g - g) + 131*g + 6249 - 6249.
132*g
Expand j**3 + 6*j**3 - 3*j**3 + (-6 + 6 - 5*j**2)*(-3*j + 5 - 5).
19*j**3
Expand w**3 + w**3 + 0*w**3 + ((-2 - 2 + 5)*(-w**3 - 3*w + 3*w) + (-2 + 4*w + 2)*(2*w**2 + 5 - 5) + w**3 - w**3 + 5*w**3)*(-3 - 3 + 5).
-10*w**3
Expand 500*j - 8*j**2 - 503*j + 14*j**2 + 2 + 6*j**3 - 6*j + j**3 + 6*j + 4*j**3 + 2*j**3 - 5*j**3 + (3 + 0 - 1)*(0*j**3 + 2*j**3 - j**3).
10*j**3 + 6*j**2 - 3*j + 2
Expand -2*b**4 - b**4 + 7*b**4 + (-5*b**2 - 9*b**2 + 19*b**2)*(2*b**2 + 2*b**2 - 2*b**2).
14*b**4
Expand (-z**3 + z**3 - 2*z**3)*(-562 + 562 + 29*z) + 4*z**4 - 5*z**4 + 7*z**4.
-52*z**4
Expand (3*d - 2*d - 2*d + (1 - 1 - 2)*(d - d - 2*d))*(649 - 649 + 60*d)*(2*d - 6*d + 2*d).
-360*d**3
Expand (4*d**4 + 0*d**4 - d**4)*(0 + 2 - 5) - 41*d**4 - 2*d - 45*d**4 - 91*d**2 + 89*d**4.
-6*d**4 - 91*d**2 - 2*d
Expand (-4*g + 4*g + g)*(1 + 2 + 4) + 13*g - 13*g + 30*g.
37*g
Expand -b**2 - 3*b**2 + 2*b**2 + (-4 + 4 + 2)*(0 + 0 - 4*b**2) + 0*b**2 + 3*b**2 - 4*b**2 + 2*b**2 - b + b + 62*b**2 - 21*b**2 - 7*b**2.
25*b**2
Expand (-6 + 38*x - 5 + 10)*(3*x**3 + 2 - 2)*(-4*x - 3*x + 3*x).
-456*x**5 + 12*x**4
Expand -u**2 + 1299*u - 1299*u + 54*u**3 + (-5 - 3 + 2)*(3 - 3 + 3*u**3).
36*u**3 - u**2
Expand (-1 + 1 + 2)*(-3 + 10 + 38)*(-3 + 0 + 2)*(1 - 1 - h).
90*h
Expand (-3*p**3 + 2*p**3 + 6*p**3 - 3 + 3 + p**3 - 3*p**3 - p**3 + 6*p**3 + (-p + 3*p - 3*p)*(-2*p**2 - p + p))*(-3 - 10*p + 10*p - p**2).
-10*p**5 - 30*p**3
Expand (12*x**3 - 72*x**3 + 16*x**3)*(-4*x + x + x)*(-x + 2 + 3*x + 0*x).
176*x**5 + 176*x**4
Expand 6*c**3 - 3*c**3 - c**3 + (-2*c - c + 5*c)*(c**2 + 4 - 4) + 1 - 4645*c + 16*c**3 + 4645*c.
20*c**3 + 1
Expand (5*q**4 + q**4 + 6*q**4)*(4 - 4 - 1 + 2 + 1 - 4 - 2 + 2 - 2 + (1 + 0 - 2)*(-2 - 2 + 5) - 1 + 1 - 2 + 3 - 2 + 1 + 0 - 1 - 1 + 5 - 4 + 0 - 4 + 2 + 3).
-60*q**4
Expand (0*l - l + 2*l)*(2*l + l**3 - 2*l) + 8*l**4 + 17*l**4 + 6*l**4 - l**4 + l**4 + l**4 + 13*l**4 + 8*l**2 - 8*l**2.
46*l**4
Expand (-33*i**4 - 92*i + 92*i)*(2*i - 35 + 35).
-66*i**5
Expand -q - 4 + 2 + 1 + (-q + 3*q - 3*q)*(-41 - 27 - 102).
169*q - 1
Expand (-w + 0*w + 4*w)*(2 - 2*w**2 - 2) - 21 + 7*w**3 + 21.
w**3
Expand (2*d**2 - 4*d**2 - d**2)*(0*d - d + 5*d) + 184*d + 21*d**3 - 184*d + (-4*d**2 - 2*d**3 + 4*d**2)*(1 + 1 - 3).
11*d**3
Expand (f**2 - 2*f**2 - 4*f + 2*f**2)*(4*f**2 + f**2 - 3*f**2)*((-1 + 3 + 0)*(-3*f - 5*f + 2*f) - 2*f - 2*f + 0*f).
-32*f**5 + 128*f**4
Expand (0 + 4 - 2)*(-x + 2 - 2) - 2 + 21*x + 28*x - 38*x + (-3 + 2 + 3)*(2*x - 4 + 4).
13*x - 2
Expand 1 - r**3 - 1 + (r**2 + 1 - 1)*(r - 3*r + 0*r) + 3*r**3 - r**3 - r**3 + (3*r + 0*r + r)*(14*r**2 + 17*r**2 - 6*r**2).
98*r**3
Expand -3*m**5 + 4*m**5 + 0*m**5 + (0*m**4 + 50*m**4 + 10*m**4)*(-4*m + 3*m + 6*m).
301*m**5
Expand (k**2 - 2*k**2 - 2*k**2)*(-2 - 4 + 4) + (7 - 4 - 2)*(k**2 + 0*k**2 + k**2).
8*k**2
Expand (-32 + 76 + 43 - 7 + 41)*(-n - 2*n - 5*n).
-968*n
Expand ((-4*z**2 - z**2 + 6*z**2)*(4 - 9 + 0) + 12*z**2 - 3*z**2 - z**2 + (0 - 1 + 0)*(-z**2 + 0*z**2 + 3*z**2))*(-1 + 1 - z).
-z**3
Expand (0 - 2 + r - 2*r)*(-12 + 11 + 12*r**2 - 2*r**2) + 5*r**3 + 4*r**3 - 20*r**3.
-21*r**3 - 20*r**2 + r + 2
Expand (u + 1 - 1)*(5*u**4 - 42*u**4 - 2*u**4).
-39*u**5
Expand -5*z**5 + 0*z**5 + 4*z**5 + (6*z**4 - z**4 - 4*z**4)*((1 - 5 + 3)*(1 - 1 + z) + 4*z - 3*z - 3*z - 4*z + 2*z + 0*z).
-6*z**5
Expand (-2*l**4 - l + l + (0 - 2*l + 0)*(2*l**3 + 2*l**3 - l**3))*((-3 + 4 + 0)*(-6 + 3 + 6) - 1 + 4 - 5).
-8*l**4
Expand (3*i - 3*i - i)*(2*i**2 - 6*i**2 + 2*i**2) + 2*i**3 - 3 + 3 + ((-5 - 7 - 2)*(-5*i + i + 5*i) + 4 - 2*i - 4)*(-3*i**2 + 5*i**2 - 3*i**2).
20*i**3
Expand (-2 + 6*u - 8*u + 4)*(3*u + u + u).
-10*u**2 + 10*u
Expand -4*h**3 + h + 0*h**3 + 3*h**3 + (-3 + 12 + 8)*(-4*h**3 + 5*h**3 - 3*h**3).
-35*h**3 + h
Expand (6 - 1 - 3)*(2*t + 0 + 0)*(-2763 - 2585 + 6231).
3532*t
Expand (-3*i**3 + 7 - 7)*(-42*i + 8 + 14 + 41*i).
3*i**4 - 66*i**3
Expand (-41*v**3 - 47*v**3 - 147*v**3)*(-3 + 2 + 0).
235*v**3
Expand (-5 + 3 + 4)*(-9 - 6 + 25)*(-4*l + 5*l + l)*(-6*l**2 + 0*l**2 + 4*l**2)*(4*l - 2*l - 3*l).
80*l**4
Expand (0 - 3*p - 1 - 2)*(0*p**2 + 16*p**2 - 7*p**2).
-27*p**3 - 27*p**2
Expand -4*x**5 + x - x - 2*x**5 - x**2 + x**2 + (2 - 2 + 2*x**2)*(-x**3 - 2*x**3 + x**3) + 5*x**5 + x**5 - x**5 + x**5 + 3 + 4*x**4 - 3 + 2*x**2.
-4*x**5 + 4*x**4 + 2*x**2
Expand (509*u**2 - 3 + 515*u**2 - 1023*u**2 - 13*u)*(0*u + u + 4*u).
5*u**3 - 65*u**2 - 15*u
Expand (d - d - 4*d)*(-2*d - 3 + 3)*(1 - 7 + 1 + (-3 + 1 + 1)*(6 - 3 + 1) + 3 + 1 - 2).
-56*d**2
Expand (1 + 2 - 2)*(0 - 3*j + 0) + 4*j - 6*j - 5*j + (0 - 2*j + 0)*(-2 + 2 + 1) - 3*j + j + 0*j.
-14*j
Expand -9*n**3 + 9*n**3 + 2*n**4 + (-2*n - 2*n**3 + 2*n)*(-4*n + 0*n + 2*n) + 5*n**4 - 14*n**4 + 4*n + 10*n**4.
7*n**4 + 4*n
Expand (2 + 0 + 0)*(3 + w - 3)*(-7 - w + 7) + 141*w**2 - 37*w**2 + 152*w**2.
254*w**2
Expand (5 - 2 - 1)*(11 - n - 11)*(3 + 0 - 2 + 2 + 3 - 4 + (2 + 3 - 3)*(2 - 1 + 1) + 4 - 3 + 0 - 1 + 0 + 0).
-12*n
Expand 1 - 1 - 2*p + (-1 + 0 - 1)*(3*p + 3*p - 4*p) + (168 - 182 + 3*p - p)*(0 + 0 + 1).
-4*p - 14
Expand (0 - 5 + 0)*(-21*w**3 - 18*w**3 - 1 + 1).
195*w**3
Expand -33*z - 26*z + 111 + 57*z + (0 + 1 + 1)*(z - 2*z + 0*z) + 0*z - 4*z + 2*z + 2*z - 4*z + 4*z.
-4*z + 111
Expand (32*x**2 - 86*x**2 + 21*x**2)*(x**2 + 4*x**2 - 3*x**2) - 2*x**4 + 5*x**4 - 5*x**4 + 8 - x**4 - 8.
-69*x**4
Expand (u**2 + 2*u**2 - 5*u**2)*(5 - 1 - 2) + (-u**2 - 3*u**2 + 2*u**2)*(-2 + 2 - 2) - 5110 + 7*u**2 + 4*u + 5110.
7*u**2 + 4*u
Expand (0 - 1 + 0)*(-6*c + 4*c + 3*c)*(3 + 3 - 2 + (-3 + 5 + 0)*(4 - 2 + 0)).
-8*c
Expand 90 + 4*l + 7*l**3 - 98 - 3*l + (-3*l + 0*l + 5*l)*(-3*l**2 + 2*l**2 + 2*l**2) + 4*l**2 - 4*l**2 + 2*l**3.
11*l**3 + l - 8
Expand (-1 + 1 - 1)*((y + 3*y - 6*y)*(46 - 46 - 35*y) + (0 + 0 - y)*(-6 + 4*y + 6)).
-66*y**2
Expand (-y - 10*y**2 - 5*y**2 + 13*y**2)*(67 + 13 - 13).
-134*y**2 - 67*y
Expand (0*u - u + 0*u)*(-1 - 2*u**3 + 1) + 3*u**4 + 2 - 4*u**4 - u**4 + (2*u**2 - 5*u**2 + 5*u**2)*(0*u**2 - 2*u**2 + 4*u**2).
4*u**4 + 2
Expand (-30*q**2 + 30*q**2 + 50*q**2)*(-3*q - 2*q + 3*q)*(-2 - 3 - 1).
600*q**3
Expand (80*w - 42*w + 2 - 45*w)*(5*w**2 - 5*w**2 - 2*w**3 + (-4*w - 3*w + 5*w)*(-2*w**2 + 0*w + 0*w)).
-14*w**4 + 4*w**3
Expa
|
{
"pile_set_name": "DM Mathematics"
}
|
nding order.
239, 2/3, 0.2, -0.197, -2
Sort -0.4, -27, -2265, -5, 3, 3/2 in decreasing order.
3, 3/2, -0.4, -5, -27, -2265
Put 13, -3, 48, 6, 2 in descending order.
48, 13, 6, 2, -3
Sort -14, -1, -5, 318, 5, 0 in decreasing order.
318, 5, 0, -1, -5, -14
Sort -1/12, 17, 645, 0.4, 2, 0.1 in descending order.
645, 17, 2, 0.4, 0.1, -1/12
Put -4.3, 1, 0.5, -2/59 in decreasing order.
1, 0.5, -2/59, -4.3
Sort -3, -2, -5, -1, 4, 49 in descending order.
49, 4, -1, -2, -3, -5
Sort -3, 4, -146, -5.
-146, -5, -3, 4
Sort -5, -4, -3, -23, 4, -101.
-101, -23, -5, -4, -3, 4
Put -18, -5, -8337, -1 in decreasing order.
-1, -5, -18, -8337
Sort 14, -188, 29 in decreasing order.
29, 14, -188
Sort -3, -1/27, -17.
-17, -3, -1/27
Sort 0.4, 1/6, 36/23, 23, 2, 3/5 in increasing order.
1/6, 0.4, 3/5, 36/23, 2, 23
Sort 6, -182, -19 in descending order.
6, -19, -182
Put -58105, 4, 2 in increasing order.
-58105, 2, 4
Put 3, 0.4, -822, -2/9, 2/3 in descending order.
3, 2/3, 0.4, -2/9, -822
Sort -2, 9/2, 0.3, -60 in decreasing order.
9/2, 0.3, -2, -60
Sort -6, -31, 10, 0, 20 in decreasing order.
20, 10, 0, -6, -31
Sort 2, -1, 29, 10, -101 in descending order.
29, 10, 2, -1, -101
Put -1852, 4, -430, -1, 0 in increasing order.
-1852, -430, -1, 0, 4
Put 3, -1558, 4, -3, 44 in descending order.
44, 4, 3, -3, -1558
Put -1, 27, -72, 1/3, -3 in decreasing order.
27, 1/3, -1, -3, -72
Put 0, 54, -1, -4, -18, 5 in ascending order.
-18, -4, -1, 0, 5, 54
Put -27/4, -9188, -2, 1/7 in descending order.
1/7, -2, -27/4, -9188
Put 0, -2/69, 1350 in increasing order.
-2/69, 0, 1350
Sort -1, -38, 0, -34, -13.
-38, -34, -13, -1, 0
Put 5, 2, -395, -12, -3 in decreasing order.
5, 2, -3, -12, -395
Put 66, -2, -38 in descending order.
66, -2, -38
Sort 2/11, 0.17, -1, 4/7, -0.839, 2 in descending order.
2, 4/7, 2/11, 0.17, -0.839, -1
Sort -0.01, -1.6, 262.
-1.6, -0.01, 262
Put 3, 6, 24, -0.1, -10 in increasing order.
-10, -0.1, 3, 6, 24
Put -9, 2, 6981 in increasing order.
-9, 2, 6981
Put 1/2, 3/31, 52 in descending order.
52, 1/2, 3/31
Sort 78/11, -25, -1/3 in descending order.
78/11, -1/3, -25
Sort 0, 0.4, -4, -3, -6 in descending order.
0.4, 0, -3, -4, -6
Sort -9/2, -29.3, 3, 0.1.
-29.3, -9/2, 0.1, 3
Sort -9, -1/309, 3, 1/3, -5 in increasing order.
-9, -5, -1/309, 1/3, 3
Put -0.9958, -4, -1, -0.06 in descending order.
-0.06, -0.9958, -1, -4
Put -19, 123, 9, 2, 5 in ascending order.
-19, 2, 5, 9, 123
Put -0.09, -0.1017, -2, 0.06 in descending order.
0.06, -0.09, -0.1017, -2
Sort -0.21, -5, 3, 2/3, 0.2, 4 in descending order.
4, 3, 2/3, 0.2, -0.21, -5
Sort 0, -3, -15, 2.
-15, -3, 0, 2
Sort -19/69, 1/9, -0.1, 2, -3, -1 in ascending order.
-3, -1, -19/69, -0.1, 1/9, 2
Sort 31042, 0.5, -5/2, -3 in decreasing order.
31042, 0.5, -5/2, -3
Put 0, -5, 2699 in increasing order.
-5, 0, 2699
Sort 0.5, 104.51, -0.5, -3, 4 in decreasing order.
104.51, 4, 0.5, -0.5, -3
Put -2/3293, -1, 3/4, 2/27 in decreasing order.
3/4, 2/27, -2/3293, -1
Sort -10, -0.3, 5/478 in ascending order.
-10, -0.3, 5/478
Sort 1, -5, -4, -53 in decreasing order.
1, -4, -5, -53
Sort 1, 51, -1, 85.
-1, 1, 51, 85
Put -1, 45/2, 4, 0.06, -4, -5 in decreasing order.
45/2, 4, 0.06, -1, -4, -5
Sort -5, -4, 5, -1, 4, -1478 in increasing order.
-1478, -5, -4, -1, 4, 5
Put -4/25, -21703, 1 in decreasing order.
1, -4/25, -21703
Sort -0.3, -93, -0.5, -6 in descending order.
-0.3, -0.5, -6, -93
Sort -33, 4, 0, -29, 5 in descending order.
5, 4, 0, -29, -33
Put 10053, -0.5, 0, -0.05 in ascending order.
-0.5, -0.05, 0, 10053
Sort 0.09, 9, 0.3, 13.
0.09, 0.3, 9, 13
Put 4, -1, -33, 33 in ascending order.
-33, -1, 4, 33
Sort 18, -71, -54, -1 in ascending order.
-71, -54, -1, 18
Sort -1, -4, -2, -59, 1 in descending order.
1, -1, -2, -4, -59
Sort 0, -41, 4, 8, 5.
-41, 0, 4, 5, 8
Sort -0.25, 17, -4, 5, 0.2.
-4, -0.25, 0.2, 5, 17
Put -2, -3, 7, -2061, 9, -5 in increasing order.
-2061, -5, -3, -2, 7, 9
Sort -17, -2, 0, 19458, -3.
-17, -3, -2, 0, 19458
Sort -1/5, 2/7, 0.03695, -4 in descending order.
2/7, 0.03695, -1/5, -4
Put 29, 137, -78 in ascending order.
-78, 29, 137
Sort -280, 7, -1, 1/2.
-280, -1, 1/2, 7
Sort -28, -435, -82 in ascending order.
-435, -82, -28
Put -2, 0, 4, -1, 69063 in ascending order.
-2, -1, 0, 4, 69063
Sort 2, 4, 9, 3, -11 in descending order.
9, 4, 3, 2, -11
Sort 95, 264, -3 in descending order.
264, 95, -3
Sort 3, 182, -4, 61.
-4, 3, 61, 182
Put 0.2, -4, -684, -6, 0.08 in increasing order.
-684, -6, -4, 0.08, 0.2
Sort -3, 0.4, -1/3, 0.2, 0.14 in increasing order.
-3, -1/3, 0.14, 0.2, 0.4
Put -2, 3, -1, 137 in increasing order.
-2, -1, 3, 137
Sort 1/16, 2/5, 5, -23, 10/7 in descending order.
5, 10/7, 2/5, 1/16, -23
Sort 2, -4, -2, -3, 517, 3 in descending order.
517, 3, 2, -2, -3, -4
Put -4, 5, -2, 0.11562 in increasing order.
-4, -2, 0.11562, 5
Put -12, -92, -1, 6, 2 in ascending order.
-92, -12, -1, 2, 6
Put 5, 1, -36, -3, -9 in ascending order.
-36, -9, -3, 1, 5
Sort -30, 18, -4, 0 in ascending order.
-30, -4, 0, 18
Put 3, 0, -28, 257, -5 in increasing order.
-28, -5, 0, 3, 257
Put -3, 945, 3, 4, 0 in descending order.
945, 4, 3, 0, -3
Sort -41/50, -11, -0.2, -0.5 in increasing order.
-11, -41/50, -0.5, -0.2
Put -12, -83/12, -9, -1 in decreasing order.
-1, -83/12, -9, -12
Sort -4, 1, -24, -5, 3, 292 in ascending order.
-24, -5, -4, 1, 3, 292
Put -19142, -4, -1/3, -0.5, 9 in descending order.
9, -1/3, -0.5, -4, -19142
Sort 3, 0, 112, -5 in ascending order.
-5, 0, 3, 112
Sort -24, 3, -1, -5, 2.
-24, -5, -1, 2, 3
Sort 0.3, 0.076, 363, 1/4 in decreasing order.
363, 0.3, 1/4, 0.076
Sort -197726, 11, -3.
-197726, -3, 11
Sort 1/6, -16873, 3/7 in decreasing order.
3/7, 1/6, -16873
Sort -5, 0.1, 2/15, -0.3, -4, -0.1.
-5, -4, -0.3, -0.1, 0.1, 2/15
Sort 2, 190, -2, 6, 4.
-2, 2, 4, 6, 190
Sort -5, 211, -2, 5, -21 in decreasing order.
211, 5, -2, -5, -21
Sort -3, 0.05, 3, 32 in descending order.
32, 3, 0.05, -3
Sort 79, -0.4, 47 in ascending order.
-0.4, 47, 79
Sort 4, 2, 6645, -4 in decreasing order.
6645, 4, 2, -4
Sort -5, -21, -3, -4, -25, 20 in ascending order.
-25, -21, -5, -4, -3, 20
Put 21, 1, -1, -14, 4 in decreasing order.
21, 4, 1, -1, -14
Put -6, -23, -5, 7, -2, 1 in ascending order.
-23, -6, -5, -2, 1, 7
Put -4, -3, -282, 0, -21 in increasing order.
-282, -21, -4, -3, 0
Put 1, -30, -45, 0, -4, 4 in decreasing order.
4, 1, 0, -4, -30, -45
Sort -95893, 3, -2/9 in descending order.
3, -2/9, -95893
Put -5, 12408, -0.3, -0.4, -3 in increasing order.
-5, -3, -0.4, -0.3, 12408
Sort 3, 0.19421, 2/9, -6/11, 1 in descending order.
3, 1, 2/9, 0.19421, -6/11
Sort 56, -7, -14, -2 in decreasing order.
56, -2, -7, -14
Put -5, -0.46, -28/5, 0.3 in descending order.
0.3, -0.46, -5, -28/5
Sort 8, 34, 3, 261, 5, -5.
-5, 3, 5, 8, 34, 261
Put -2, -4, 0, -1, 411 in descending order.
411, 0, -1, -2, -4
Sort -1, -14, -17, 3 in increasing order.
-17, -14, -1, 3
Sort 0, -44, -3437.
-3437, -44, 0
Put 1, 6052, -3, -2 in decreasing order.
6052, 1, -2, -3
Sort 4, 106, -4, 30, -13 in decreasing order.
106, 30, 4, -4, -13
Sort -2/19, -1/4, 0.5, 14221 in increasing order.
-1/4, -2/19, 0.5, 14221
Put 2, 35, 5, -3 in increasing order.
-3, 2, 5, 35
Sort 815, -5, 1, 2/5 in increasing order.
-5, 2/5, 1, 815
Put 3, -2, 4, -1, -19, -4 in decreasing order.
4, 3, -1, -2, -4, -19
Put 3, 31, 4, 38, -2 in decreasing order.
38, 31, 4, 3, -2
Sort -11, 9, 5, -10, -3 in descending order.
9, 5, -3, -10, -11
Sort -86, 0.059, -5 in decreasing order.
0.059, -5, -86
Put -4, -22129, 5, -3, 3, 0 in ascending order.
-22129, -4, -3, 0, 3, 5
Put 4, 2, 1276, 1, -3, -4 in descending order.
1276, 4, 2, 1, -3, -4
Sort 3, 14/17, -1/6, -2, -1/2 in decreasing order.
3, 14/17, -1/6, -1/2, -2
Sort -2, -4, 21, -1, -3, 0.4 in decreasing order.
21, 0.4, -1, -2, -3, -4
Put -10, 1, -3, -4, 2, -38 in decreasing order.
2, 1, -3, -4, -10, -38
Put 4/7, -1/78, 2, -1.7, 3/4, 0 in descending order.
2, 3/4, 4/7, 0, -1/78, -1.7
Sort -5/2, 63, 6/5, -0.6, -4/7 in increasing order.
-5/2, -0.6, -4/7, 6/5, 63
Sort -4, -2, 3380.06 in ascending order.
-4, -2, 3380.06
Put 14.92, -0.09, 6, 1 in decreasing order.
14.92, 6, 1, -0.09
Put 0.04, -0.5, -2/3, 0, -2, 0.12 in ascending order.
-2, -2/3, -0.5, 0, 0.04, 0.12
Sort -1078, -46, 5 in decreasing order.
5, -46, -1078
Sort -1, -2/3, 2/39, -0.45 in descending order.
2/39
|
{
"pile_set_name": "DM Mathematics"
}
|
entiate -2*r**2 + 3 - 3*r**g - 8 wrt r.
-10*r
Find the second derivative of 2*o**3 - o**3 - 21*o - 14*o**3 wrt o.
-78*o
Suppose 0 = -6*i + i. Suppose -3*t + 4 = -y - i, 5*t + 2*y = 14. Find the third derivative of -t*z**3 - 3*z**3 + 3*z**3 - z**2 wrt z.
-12
Let z(w) be the second derivative of -w**5/60 - w**4/24 + w**2/2 + 2*w. Let g(c) be the first derivative of z(c). What is the second derivative of g(o) wrt o?
-2
Find the second derivative of 2*i**3 - 5*i**2 + 8*i**2 - 6*i**2 + 15*i wrt i.
12*i - 6
Let u(q) be the third derivative of q**10/50400 + q**6/360 + q**5/12 + 2*q**2. Let z(s) be the third derivative of u(s). Differentiate z(j) with respect to j.
12*j**3
Suppose 0*q + 2*q = 5*z, q + 1 = 3*z. Let l(c) = c**2 - 3*c - 1. Let t be l(4). Find the second derivative of -2*i + 2*i**q + t*i + i wrt i.
40*i**3
Let b(a) = 13*a**2 - 17. Let x(i) = 13*i**2 - 17. Let v(l) = 4*b(l) - 5*x(l). Differentiate v(s) with respect to s.
-26*s
Suppose -6*s + s + 10 = 0, 23 = 5*g - s. Find the third derivative of -5 - 2*j**2 + 5 + 2*j**3 - g*j**3 wrt j.
-18
Let r(w) = -4*w**4 + 5*w**2 - 11*w. Let b(c) = 2*c**4 - 3*c**2 + 6*c. Let v(u) = 5*b(u) + 3*r(u). Find the second derivative of v(g) wrt g.
-24*g**2
Suppose 0 = -4*p + p + 27. Suppose b - 2*b - 3 = -z, p = z + b. Find the third derivative of 4*j**2 - 4*j**4 + 4*j**4 - 3*j**z - 5*j**2 wrt j.
-360*j**3
Let g(y) = -6*y**3 + 3*y**2 - 3*y - 1. Let c(t) = t**3 - t**2 + t + 1. Let n(i) = -6*c(i) - 2*g(i). Differentiate n(j) wrt j.
18*j**2
Let i be -10 + 1 + (6 - 3). Let v be (i/5)/(6/(-20)). Differentiate -v*k**4 - 1 + 2 - 3 wrt k.
-16*k**3
Let g(c) = -1. Let s = -24 + 20. Let o(l) = 2*l**2 + 4*l + 4. Let z(u) = s*g(u) - o(u). Find the second derivative of z(d) wrt d.
-4
Let m(i) be the second derivative of -4*i**6/5 + 7*i**2 - 3*i. Find the first derivative of m(w) wrt w.
-96*w**3
Let m be 3 + (-2 - -3) + -1. Let n(t) = -32*t - 16. Let s(d) = -11*d - 5. Let b(o) = m*n(o) - 8*s(o). What is the derivative of b(w) wrt w?
-8
Let g(j) = -j**2 + j + 1. Let m(z) = -5*z**2 - 6*z - 2. Let k(q) = -6*g(q) - m(q). Differentiate k(x) with respect to x.
22*x
Let q(f) be the first derivative of -2*f**6 + 35*f**2/2 - 4. Find the second derivative of q(y) wrt y.
-240*y**3
Let c be 4/30 - (-5)/25. Let q(t) be the first derivative of -2 + c*t**3 + 0*t**2 - t. Differentiate q(u) with respect to u.
2*u
Suppose -8 = -5*l - 2*s + s, 3*l + 2*s - 9 = 0. Let b be 2 + -1 - (-2 - -1). Differentiate l - 3 + b*v**2 + 4 + v**2 wrt v.
6*v
Suppose -2*o - 4 = 2*g, -3*o + 0*o = 0. Let a = 6 + g. Find the second derivative of -l**5 - 7*l + a*l + 2*l wrt l.
-20*l**3
Let a = 6 - 4. Suppose -4*h + 4 = 4*l, h = 5*l - l - 9. Find the third derivative of 2*r**3 - 11*r**l - r**3 + 10*r**a wrt r.
6
Let c(x) be the third derivative of x**7/30 - 11*x**3/6 + 7*x**2. What is the first derivative of c(o) wrt o?
28*o**3
Let y = 10 + -10. Find the third derivative of 5*v**5 + v**2 - 3*v**2 + y*v**5 wrt v.
300*v**2
Let b(h) be the first derivative of -h**6/6 + 10*h**3/3 - 18. Find the third derivative of b(w) wrt w.
-60*w**2
Let u(q) be the first derivative of -15*q**7/7 - 5*q**3 + 14. What is the third derivative of u(c) wrt c?
-1800*c**3
Suppose -1 = 5*k - 16. Suppose -2*u + 0*a + 20 = k*a, -3*u = -2*a - 4. Find the second derivative of -3*b - 2*b**u + 0*b**4 - b**4 + 2*b**4 wrt b.
-12*b**2
Let v(l) be the second derivative of 3*l**8/56 + l**4/3 - 7*l. What is the third derivative of v(g) wrt g?
360*g**3
What is the second derivative of 3*q**2 + 24 - 2*q - 24 wrt q?
6
Suppose 1 = 4*h + 5*d, -9 = -d + 4*d. Find the third derivative of p**h - 7*p**4 + p**2 + 0*p**2 wrt p.
-144*p
Let h(g) = -g**4 + 5*g**3 - 5*g**2 + 5*g + 2. Let p be (2 - 1)/(1/(-5)). Let f(y) = -y**3 + y**2 - y - 1. Let v(b) = p*f(b) - h(b). Differentiate v(l) wrt l.
4*l**3
Let b(u) be the third derivative of u**6/120 - 2*u**3/3 + u**2. What is the derivative of b(t) wrt t?
3*t**2
What is the first derivative of 426*a**4 - 3 - 10 - 441*a**4 wrt a?
-60*a**3
Let f(l) be the first derivative of 17*l**3/3 + 11*l**2/2 - 4. Find the second derivative of f(t) wrt t.
34
Suppose -b + 4 = -0. Let j = b - 1. Find the third derivative of t**2 - 2*t**5 - 5*t**j + 5*t**3 + 0*t**3 wrt t.
-120*t**2
Let l(r) be the third derivative of 2*r**5/5 + 5*r**4/4 - 23*r**2. Find the second derivative of l(s) wrt s.
48
What is the third derivative of 2*y**3 - 5*y**2 - 2*y**2 + y**2 wrt y?
12
Let q(k) be the second derivative of 2*k**5/5 - k**2/2 - 27*k. What is the derivative of q(i) wrt i?
24*i**2
Let d(z) be the third derivative of -z**8/336 - 2*z**5/15 + 5*z**2. Find the third derivative of d(b) wrt b.
-60*b**2
Let m(f) be the second derivative of -f**7/105 - 2*f**3/3 + 2*f**2 + 4*f. Let c(z) be the first derivative of m(z). Differentiate c(d) with respect to d.
-8*d**3
Let k(j) be the third derivative of 3*j**7/70 + j**5/20 + 2*j**2. Find the third derivative of k(c) wrt c.
216*c
Let s(b) = 4*b**5 + 3*b**3 + 9*b**2 + 3. Let c(l) = -9*l**5 - 5*l**3 - 17*l**2 - 5. Let i(z) = -3*c(z) - 5*s(z). What is the third derivative of i(n) wrt n?
420*n**2
Differentiate 27*h**2 - 8*h**2 - 4*h**2 + 36 + h**3 with respect to h.
3*h**2 + 30*h
Let u(w) be the third derivative of 5/24*w**4 + 0*w**6 + 5*w**2 + 0*w**5 + 0*w + 0 + 0*w**3 + 0*w**7 - 1/112*w**8. What is the second derivative of u(o) wrt o?
-60*o**3
Let d(s) be the second derivative of -2*s + 0 + 1/6*s**3 - 1/3*s**4 + 0*s**2. Find the second derivative of d(r) wrt r.
-8
Let b(v) be the first derivative of v**9/3024 - v**5/120 - 2*v**3/3 + 1. Let p(q) be the third derivative of b(q). What is the second derivative of p(g) wrt g?
20*g**3
Let k(c) = c**4 + c**3 + c. Let p(z) = -10*z - 6*z**3 + 10 - 3*z**4 - 8 + 4*z. Let a(u) = 6*k(u) + p(u). Differentiate a(d) wrt d.
12*d**3
Let j(x) be the first derivative of -7*x**3 + 3*x**2 + 21. Find the second derivative of j(n) wrt n.
-42
Let t(a) = -6*a**4 - 3*a**2 - 5*a. Let d(q) = 12*q**4 + 7*q**2 + 10*q. Let p(l) = -3*d(l) - 7*t(l). Find the second derivative of p(f) wrt f.
72*f**2
What is the second derivative of 15*z - 9*z - 36*z - 31*z**3 wrt z?
-186*z
Let u(g) be the third derivative of 0 + 8*g**2 + 0*g - 1/6*g**4 + 1/6*g**3. Differentiate u(n) with respect to n.
-4
What is the derivative of -17*d + 37*d + 5 - 29*d wrt d?
-9
Let u(b) be the first derivative of 3*b**3 - 3*b**2 - 1. What is the second derivative of u(v) wrt v?
18
What is the first derivative of 5 + 0*d**3 - 1 + 0*d**3 - 2*d**4 wrt d?
-8*d**3
Let n(r) be the first derivative of 0*r**3 + 3/4*r**4 + 0*r**2 + 5 + 3*r. What is the first derivative of n(c) wrt c?
9*c**2
Let g(t) be the first derivative of 0*t**2 - 1/4*t**4 + 0*t + 1 - 2/3*t**3. What is the third derivative of g(s) wrt s?
-6
Let u(n) be the first derivative of 6 + 0*n**3 - 2*n + 3/2*n**4 + 0*n**2. What is the first derivative of u(a) wrt a?
18*a**2
What is the first derivative of d**4 - 23*d**2 + 23*d**2 + 6 wrt d?
4*d**3
Let x = 0 + 2. Let j be -2*(1 + -1*x). Find the first derivative of j*p - p**2 - 2*p + 2 wrt p.
-2*p
Let r(n) = -14*n**2 - 4*n - 2. Let y(c) = c**2 + c - 1. Let k(s) = -r(s) - 4*y(s). What is the derivative of k(g) wrt g?
20*g
Let y(o) = o - 1. Let n(w) = -10*w + 11. Let c(g) = n(g) + y(g). Differentiate c(u) with respect to u.
-9
Let b(s) = -9*s + 69. Let w(t) = 2. Let p(q) = -b(q) + 3*w(q). Find the first derivative of p(a) wrt a.
9
Let c(o) be the second derivative of 3*o**5/10 - 10*o**4/3 + 57*o. What is the third derivative of c(l) wrt l?
36
Let q(j) be the first derivative of j**5 + 7*j**3/3 + 6. Find the third derivative of q(l) wrt l.
120*l
Let v(j) be the second derivative of j**6/10 - 11*j**4/12 - 4*j. What is the third derivative of v(y) wrt y?
72*y
Let x(y) = -9*y**3 + 3*y**2 + 3*y + 10. Let q(l) = 17*l**3 - 5*l**2 - 5*l - 19. Let c(g) = 3*q(g) + 5*x(g). Differentiate c(f) with respect to f.
18*f**2
Let h = 3 + 0. Suppose -3*q = 4*f - h, 5*q + 0*q - 5 = -3*f. What is the derivative of 1 + 0*i**2 + f*i**2 - 3*i**2 wrt i?
-6*i
Let x(l) be the second derivative of -11*l**6/30 - 2*l**2 - l. Differentiate x(p) with respect to p.
-44*p**3
Let t(y) be the third derivative of -13*y**6/120 + y**5/6 - 8*y**2. Find the third derivative of t(h) wrt h.
-78
Let o(r) = r**2 + 14*r - 1 -
|
{
"pile_set_name": "DM Mathematics"
}
|
d w such that g(w) = 0.
-1, 1
Suppose 1362 = 2*k + 4*k. Suppose -k + 227 - 4*h**2 = 0. Calculate h.
0
Let u(y) be the first derivative of 2*y**5/15 + y**4/3 + 2. Factor u(d).
2*d**3*(d + 2)/3
Suppose -5*v = -2*c + 18, 3*c - 2*v - 29 = -2. Let x be 9/28 + c/36. Factor -2/7 + x*m + 6/7*m**2.
2*(m + 1)*(3*m - 1)/7
Let m(u) = -10*u**2 - 138*u + 160. Let x(i) = i**2 - i - 1. Let d(b) = -m(b) - 12*x(b). Solve d(s) = 0.
1, 74
Let n = -121 + 121. Let v(p) be the second derivative of 4*p - 1/12*p**4 + n - 1/2*p**2 + 1/3*p**3. Solve v(u) = 0 for u.
1
Let y(q) be the first derivative of -q**6/900 + q**5/60 - q**4/15 + 22*q**3/3 + 12. Let p(k) be the third derivative of y(k). Factor p(u).
-2*(u - 4)*(u - 1)/5
Let w = 14468 - 14465. Factor -2/5*d**w + 42/5*d**2 - 48*d + 40.
-2*(d - 10)**2*(d - 1)/5
Suppose -2*p + s - 128 = 0, -3*p - 146 = -2*s + 46. Let c be (-1 - 33/(-20)) + 16/p. Factor -c*b**3 + 0*b**2 + 0 + 2/5*b.
-2*b*(b - 1)*(b + 1)/5
Let f be 4 + -2 + (2 + 0 - 3). Let q be 0*(f - 6/8). Factor 24/7*n**4 + 96/7*n**2 + q + 3/7*n**5 + 72/7*n**3 + 48/7*n.
3*n*(n + 2)**4/7
Let s(r) be the third derivative of -r**5/30 - 3*r**4/2 + 21*r**3 + 522*r**2. Solve s(q) = 0 for q.
-21, 3
Let n(c) = 3*c**3 - 4*c**2 + 4*c. Let q(o) = 6*o**3 - 7*o**2 + 7*o. Let s(r) = -7*n(r) + 4*q(r). Let s(l) = 0. Calculate l.
0
Determine g so that -10 + 2/5*g**2 + 48/5*g = 0.
-25, 1
Let u(v) = 9*v**3 - 36*v**2 + 201*v - 300. Let a(z) = -26*z**3 + 109*z**2 - 602*z + 900. Let g(n) = -6*a(n) - 17*u(n). What is s in g(s) = 0?
4, 5
Let u be 3 + 2 + (3 - 8) + 6. Suppose -u*w + 2 = -10. Find m such that 0 - 1/3*m - 1/6*m**w = 0.
-2, 0
Let w(s) = -2*s - 21. Let i be w(-12). Factor 16/3*t**i + 0 - 20/3*t**2 + 8/3*t - 4/3*t**4.
-4*t*(t - 2)*(t - 1)**2/3
Let i = 3/613 - -1205/4291. Find z such that 0 + 0*z**3 + 1/7*z**5 + 0*z - i*z**4 + 0*z**2 = 0.
0, 2
Let l be ((-32)/(-60))/((-4)/(-20)). Factor l*n**2 - 10/3*n - 2/3*n**3 + 4/3.
-2*(n - 2)*(n - 1)**2/3
Let -28*z + 126*z**3 - 146*z**2 + 39*z - 22*z**4 + 41*z - 10*z**5 = 0. Calculate z.
-26/5, 0, 1
Let l(u) be the first derivative of 1 - 1/18*u**3 + 0*u + 1/24*u**4 + 0*u**2. What is w in l(w) = 0?
0, 1
Let i(o) = -3*o + 14. Let h = 45 - 41. Let z be i(h). Factor -6/5 - 8/5*t - 2/5*t**z.
-2*(t + 1)*(t + 3)/5
Let p(u) = -u + 9. Let a be p(-19). Suppose -y = -15*y + a. Determine j so that 3*j + 3 + 3/4*j**y = 0.
-2
Let j(q) be the second derivative of -q**4/4 + 2*q**3 - 6*q**2 - 39*q - 2. Let j(s) = 0. Calculate s.
2
Suppose 6 = -5*c + 2*c - 3*h, 0 = c - 2*h - 4. Determine g, given that c - 4/3*g**4 + 4/3*g**2 - 4/3*g**5 + 0*g + 4/3*g**3 = 0.
-1, 0, 1
Let x be 7 + (14/(-49) - (-5)/(-7)). Let p be ((-27)/x + 3)/(-2). Suppose -1/4*h - 1/4*h**4 - p*h**2 + 0 - 3/4*h**3 = 0. Calculate h.
-1, 0
Let j(u) be the second derivative of -1/6*u**3 + 1/36*u**4 - 2/3*u**2 + 13*u + 0. What is y in j(y) = 0?
-1, 4
Let m be 10/(-4)*100/(-375). Let t(j) be the first derivative of 1 + 0*j - j**2 - m*j**3. Factor t(p).
-2*p*(p + 1)
Let w(v) = 429*v + 2577. Let q be w(-6). Find y, given that -4/3*y**2 + 2/3 + 2/3*y + 2/3*y**5 - 4/3*y**q + 2/3*y**4 = 0.
-1, 1
Let k(g) be the first derivative of -1/45*g**6 - 1/15*g**5 + 0*g**3 + 0*g**2 - 5*g + 9 - 1/18*g**4. Let l(b) be the first derivative of k(b). Factor l(a).
-2*a**2*(a + 1)**2/3
Let q(h) = -352*h + 4. Let v be q(0). Factor -20/3*j - 4/3*j**4 + 8/3 + 4/3*j**3 + v*j**2.
-4*(j - 1)**3*(j + 2)/3
Let z be -147 - -153 - 1*4. Factor 4/9*p - 2/9*p**z + 2/3.
-2*(p - 3)*(p + 1)/9
Let y(l) be the third derivative of 1/112*l**8 + 0*l**3 - 7/20*l**5 + 6*l**2 + 9/40*l**6 - 1/14*l**7 + 0*l + 0 + 1/4*l**4. Factor y(b).
3*b*(b - 2)*(b - 1)**3
Let f(x) be the second derivative of x**5/80 - 87*x**4/16 + 7569*x**3/8 - 658503*x**2/8 + 176*x. Find s, given that f(s) = 0.
87
What is r in -13*r**3 + 30*r + 21*r**3 - 7*r**4 - 3*r**4 - 3*r**3 + 65*r**2 = 0?
-2, -1/2, 0, 3
Suppose 5169*t - 5185*t = 0. Let -4/9*k**2 + t*k + 0 + 4/9*k**3 = 0. What is k?
0, 1
Suppose 628/5*s**2 + 344/5*s + 64/5*s**4 + 428/5*s**3 + 64/5 - 16/5*s**5 = 0. What is s?
-2, -1, -1/2, 8
Let p be (-645)/25 - (-2)/(-10). Let x be p/(-4) + (-1)/2. Suppose x*n + 0*n**2 - 1 + 3*n**2 + 4 = 0. What is n?
-1
Let m(q) be the third derivative of -q**7/2310 + 47*q**6/330 - 2209*q**5/110 + 103823*q**4/66 - 4879681*q**3/66 + 178*q**2. Factor m(g).
-(g - 47)**4/11
Let c(y) be the first derivative of 14*y**5/5 + 2*y**4 - 2*y**3 - 88. Factor c(n).
2*n**2*(n + 1)*(7*n - 3)
Let o(d) be the third derivative of -d**9/756 - d**8/420 - 8*d**3/3 + 19*d**2. Let q(b) be the first derivative of o(b). Determine v, given that q(v) = 0.
-1, 0
Let m(h) be the first derivative of h**6/15 + 2*h**5/25 - 9*h**4/5 + 28*h**3/15 + 17*h**2/5 - 6*h + 435. Suppose m(l) = 0. What is l?
-5, -1, 1, 3
Let q(j) be the first derivative of 0*j**3 - 1/10*j**4 + 0*j**2 - 4 - j + 7/50*j**6 - 3/20*j**5. Let k(g) be the first derivative of q(g). Factor k(w).
3*w**2*(w - 1)*(7*w + 2)/5
Let i(s) = s**2 + 3*s - 16. Let y be i(-5). Let n be (-4 + -5)*2/y. Determine p, given that 1/4*p**n + 27/4*p + 27/4 + 9/4*p**2 = 0.
-3
Factor -508*v**3 + 15*v + 259*v**3 + 18*v**2 + 252*v**3 - 36.
3*(v - 1)*(v + 3)*(v + 4)
Let m(y) = -9*y. Let t be m(-3). Suppose -t*r - 10*r**2 + 6 - 9*r**2 - 14*r**2 = 0. What is r?
-1, 2/11
Let k(a) be the first derivative of -5/8*a**3 + 3/2*a**2 - 10 - 3/2*a + 3/32*a**4. Factor k(o).
3*(o - 2)**2*(o - 1)/8
Let t(n) be the first derivative of n**5/30 + n**4/4 - 7*n**2 + 15. Let q(g) be the second derivative of t(g). Factor q(x).
2*x*(x + 3)
Factor 0 + 0*m + 2/5*m**4 - 6*m**2 + 4/5*m**3.
2*m**2*(m - 3)*(m + 5)/5
Let w = -346 + 1736/5. Let a be (-465)/100 - -5 - (-2)/8. Factor a*s**2 - w*s + 0.
3*s*(s - 2)/5
Let o(d) = -11*d + 179. Let g be o(16). Factor n**4 - 3/4*n**2 - 5/4*n**g + 5/4*n - 1/4.
(n - 1)**2*(n + 1)*(4*n - 1)/4
Let o(g) be the first derivative of -5*g**2/2 + 25*g - 59. Let j be o(5). Factor 1/6*u**2 + 0*u + 1/6*u**3 + j.
u**2*(u + 1)/6
Let k(m) = 3*m - 16. Let x be k(7). Factor -x*u**3 + 16*u**2 + 10*u + 8 + 10*u + 9*u**3.
4*(u + 1)**2*(u + 2)
Factor 0*r**4 - 32*r**4 - 44*r**3 - 897*r**2 + 885*r**2.
-4*r**2*(r + 1)*(8*r + 3)
Solve 20*j - 8*j**4 + 32/3 - 64/3*j**3 - 8/3*j**2 + 4/3*j**5 = 0 for j.
-1, 1, 8
Let s be -3*(7 + -11)/11340. Let a(t) be the third derivative of 0*t**3 - 2*t**2 - 1/270*t**6 + 0 + 0*t**4 + 0*t + 1/1512*t**8 - s*t**7 + 0*t**5. Factor a(i).
2*i**3*(i - 2)*(i + 1)/9
Solve 3 + 35*l**4 - 6 + 3 - 80*l**3 - 85*l**2 + 30*l = 0 for l.
-1, 0, 2/7, 3
Let j(r) be the third derivative of 1/45*r**5 + 1/24*r**4 + 1/360*r**6 + 0*r**3 + 0*r - 13*r**2 + 0. Solve j(h) = 0 for h.
-3, -1, 0
Let o be (1/(-3))/(48/(-720)). Let v(t) be the second derivative of -1/36*t**4 + 1/30*t**6 + 0*t**3 + 0*t**2 + 0 - 2*t - 1/30*t**o. Let v(k) = 0. What is k?
-1/3, 0, 1
Let z be 1 - (-72)/5 - 10. Let c(k) be the first derivative of -z*k - 3*k**4 - 12/25*k**5 - 9*k**2 - 37/5*k**3 + 11. Find n, given that c(n) = 0.
-3/2, -1
Let h(f) = -10*f - 53. Let w be h(-6). Factor -5*l - 12 + 4 + 5*l**3 + 2 - l**4 + w*l**2.
-(l - 6)*(l - 1)*(l + 1)**2
Factor -2/13*w**5 - 4/13*w**4 + 16/13*w**2 + 14/13*w + 4/13*w**3 + 4/13.
-2*(w - 2)*(w + 1)**4/13
Let b = -9 - -11. Factor 0 + 8/17*h + 2/17*h**3 - 10/17*h**b.
2*h*(h - 4)*(h - 1)/17
Let u = 49 + 86. Suppose 50 + d**2 + 0 + 130*d - 129*d**3 - 59*d**2 + u*d**3 = 0. Calculate d.
-1/3, 5
Let s(z) be the first derivative of z**3/18 + 5*z**2/6 - 4*z - 418. Factor s(a).
(a - 2)*(a + 12)/6
Let r = 32 + -30. Let k be (-14)/(-105) + r/10. Factor -k*o**2 + 0 - 2/3*o + 1/3*o**3.
o*(o - 2)*(o + 1)/3
Let y(i) = -i**2 - 119*i + 95. Let n(u) = 2*u**2 + 180*u - 142. Let a(l) = -5*n(l) - 8*y(l). Determine j, given that a(j) = 0.
1, 25
Let h be (-2610)/24 + 0 + (-1)/4. Let c = -107 - h. Factor 0*l**c + 0 + 2/3*l**4 + 4/3*l**3 + 0*l.
2*l**3*(l + 2)/3
Suppose -5*q - 57 = -77. Suppose -q*a - 7*a = 0. Factor 0*r + 1/2*r**2 + a.
r**2/2
Let k = -100 - -75. Let w be (-10)/12*(20/k + 0). Let 4/3*a**2 + 1/3*a**5 - 2/3*a**3 - 2/3*a**4 + 1/3*a - w = 0. What is a?
-1, 1, 2
Let k(v) = -v**4 - v**3 - v**2 - v - 1. Let l(f) = -6*f**4 + 14*f**3 + 24*f**2 - 16*f - 21. Let n(t) = -k(t) + l(t). Factor n(h).
-5*(h - 4)*(h - 1)*(h + 1)**2
Let w = 9949/15 - 663. Let c(t) be the first derivative of -6/5*t**2
|
{
"pile_set_name": "DM Mathematics"
}
|
.2
Let s = -2.182 + 2.2. Let m = s + -4.118. Let l = -4 - m. Which is the biggest value? (a) -2 (b) 2/9 (c) l
b
Let y = -0.2 + 0.25. Let p = -35.05 + 33. Let g = y + p. What is the third biggest value in 2/5, 3, g?
g
Suppose -5*y - 3*l = 15, 5*y + 4*l + 5 = -15. Let u = 7.7 - 2.7. What is the biggest value in 4, y, u?
u
Let d = 1.89 - -0.11. What is the biggest value in -5, 1, d?
d
Let u(j) = j**3 - 11*j**2 + 10*j - 3. Let c be u(10). Let n = 1 + 0. What is the second smallest value in n, 2, c?
n
Let f = 8.08 + -0.08. Let a = -11 + f. Let s(j) = 2*j - 1. Let h be s(1). What is the second biggest value in 0.2, a, h?
0.2
Suppose 5 = 3*l - 10. Suppose -u + 0 = -l*k - 35, k - 4*u = -7. Let h be 4/(-6)*(-6)/k. Which is the third smallest value? (a) -0.4 (b) h (c) 0.1
c
Suppose v = -c - 0*c + 4, 0 = -4*v - c + 13. What is the third smallest value in 2, -0.1, v?
v
Let n = -9 - -10. What is the fourth smallest value in -3, -0.2, n, 0.5?
n
Let m = -140 + 140.2. Which is the biggest value? (a) 2/7 (b) -4 (c) m (d) -0.2
a
Let v be (-14)/18 - 2/9. Let h be v + -1 + (-72)/(-14). Let d = -80/21 + h. Which is the biggest value? (a) -5 (b) 0.2 (c) d
b
Let r = 2 - 1.8. Let y = 0.6 - r. Let u = 2 + -1.9. What is the second smallest value in -0.3, u, y?
u
Let r = -121 - -120.51. Let q = 0.19 + r. Which is the second biggest value? (a) -1/3 (b) 1 (c) q
c
Let s = 0.11 - 2.11. Let w = -62 - -684/11. Which is the smallest value? (a) 1/3 (b) w (c) s
c
Let g be (-30)/(-45) + 5/(-3). What is the second smallest value in -4, g, 0.2?
g
Let k = 21 - 24. Which is the third smallest value? (a) k (b) -1 (c) 10
c
Let u = 4 + -3. Which is the second smallest value? (a) 2 (b) 0 (c) -1 (d) u
b
Let w = 0.1 + 0. Let r = w + -0.3. Let h(m) = -4*m - 27. Let v be h(-7). Which is the biggest value? (a) v (b) r (c) -2
a
Let g = -12.4 + 15.4. What is the third smallest value in -4, 4, 13, g?
4
Let k = -7 - -6.8. Let r be (-2)/(((-24)/(-9))/(-1)). What is the smallest value in -0.4, k, r?
-0.4
Let y = -226 + 231. Let x be (-2)/8 + 6/(-8). Which is the third smallest value? (a) y (b) -3 (c) x
a
Let i = -3 - -7. Let j = -419/548 + 2/137. Which is the biggest value? (a) 0.1 (b) j (c) i
c
Let j = 0.4 - 0.3. Let w = j - -0.7. Let p = 4.2 + w. Which is the second smallest value? (a) -0.1 (b) p (c) 1
c
Let r be 234/91 - 3*1. Which is the second biggest value? (a) -4 (b) r (c) -2/7
b
Let f(w) = -w + 13. Let y be f(-7). Let n be y/12*2/(-5). Which is the second biggest value? (a) 10 (b) n (c) 2/5
c
Let j = 0 - 0. Suppose -n - 4*n - 2*m - 21 = j, m - 3 = 2*n. What is the second biggest value in 1/3, n, -0.3?
-0.3
Let n = 4.56 + -0.06. Let q = n - 5. Let f = -0.27 - -4.27. What is the second biggest value in f, q, -5?
q
Let t be 0*(-1)/4 + 4. What is the second smallest value in t, 5, 1?
t
Let i = -31 - -31.2. Let w = 1 + 1. Which is the third smallest value? (a) i (b) w (c) 2/11
b
Let q(f) = f**2 + 7*f + 1. Let z be q(-7). What is the third smallest value in z, -0.3, 0.4?
z
Let b = -0.5 + -0.5. Let j = 0 - 0. Let r = b - j. What is the third smallest value in 1/2, r, 4?
4
Let d = 0.6 + -0.4. Which is the biggest value? (a) 1.2 (b) -3 (c) d
a
Let r = -0.095 - -0.175. What is the smallest value in -2/17, 4, r?
-2/17
Let v = -2.7 + 3.2. What is the third biggest value in 0, -0.5, v?
-0.5
Let k = 3 + -5. Let f = -52/7 + 1002/133. Which is the third smallest value? (a) 2/5 (b) f (c) k
a
Let s be 2 + 0 - (-3 - 0). Suppose s*i - 3*i + 10 = 0. Let y = -3 - -3.1. Which is the second smallest value? (a) y (b) 2 (c) i
a
Suppose -4 = 2*j - 2. Let o be (-57)/15 - j - -3. What is the second smallest value in -3, -2/3, o?
-2/3
Let l = -1 - -1. Let u be 0 + 1/(-4) - (-1)/2. What is the second biggest value in u, l, -0.4?
l
Let d = -0.08 + 0.28. What is the biggest value in 3, -4, d?
3
Let v = 12.5 - 12. Let o = 43.2 + -43. What is the smallest value in v, -2/23, o?
-2/23
Let p = 11 + -6. Which is the second biggest value? (a) p (b) -2/3 (c) 4
c
Let c = -0.54 - -0.5. Let h = 1.04 + c. Let k = 1 + -1. What is the second smallest value in k, h, -2?
k
Let k = 1 + 0.5. Let f = 29 - 28.5. Let s = k + f. Which is the third smallest value? (a) -1 (b) s (c) -3/5
b
Let j = -0.1 + 0.1. Let o = 1499 - 2997/2. Suppose -u - 1 + 0 = 0. What is the third biggest value in u, o, j?
u
Let r be (-3)/(0 - (-42)/(-4)). Let v = 17/3 + -11/2. What is the third biggest value in r, -0.2, v?
-0.2
Let t = 68.5 - 68. Let y = 3 + -3.2. What is the third biggest value in t, -5, y?
-5
Let o = 0.002 - -0.198. What is the smallest value in 0, 2/7, -1, o?
-1
Let m = -84 + 88.98. Let h = 0.02 + m. What is the biggest value in -2, h, -1?
h
Let w = 0.4 - 0.3. Let l = 0.3 - w. Let z = 0 - l. Which is the second smallest value? (a) -2/23 (b) z (c) 1/7
a
Let v = -1/10 - -7/20. What is the third biggest value in v, -0.3, 4?
-0.3
Let s(l) = -l**2 + 8*l + 12. Let f be s(9). Let y be ((-11)/(-4))/(6/156). Let h = -70 + y. What is the second smallest value in 0, h, f?
h
Let z(v) = v**3 - 4*v**2 - 5*v. Let h be z(5). Let d be -1 + h + 3/1. Let j = -2 + d. Which is the third biggest value? (a) -5 (b) j (c) 3
a
Let y = 1 - -3. Let z = -0.3 - -0.4. What is the smallest value in 0.4, z, y?
z
Let i = -0.01 + -0.39. Let u(l) = l**3 - 9*l**2 - 2. Let d be u(9). Let x be d/(-4) + 17/(-34). What is the third biggest value in x, 4/3, i?
i
Let t = -0.97 - 0.03. Let u = -39 - -45. What is the third biggest value in t, u, -5?
-5
Let j = 161 - 161.5. Which is the third biggest value? (a) 2 (b) -1 (c) j
b
Let v be ((-3)/(-9) + -1)*(9 - 6). Which is the smallest value? (a) v (b) 2/9 (c) -1/4 (d) -5
d
Let h = -42 + 32. Let r = -1 - -4. Which is the second biggest value? (a) r (b) h (c) -2
c
Suppose -5*x + 25 = 5*j, -3*x + 2*x + 4*j = 20. Which is the second smallest value? (a) -2 (b) -7 (c) x (d) 5
a
Let k = -1.62 - -1.68. Which is the second biggest value? (a) 1 (b) -3/4 (c) k
c
Suppose -j = -3*o - 7, -2*o - 2*j - 3*j = -18. What is the third smallest value in 1, o, -2?
1
Let m = -2.05 - -7.17. Let w = -0.12 + m. Let v = -8 - -5. Which is the second biggest value? (a) -0.1 (b) w (c) v
a
Let z = -0.3 + 0.1. Let h = 1.25 + -1.7. Let w = h - -0.05. What is the third biggest value in z, w, 3/5?
w
Let b = 0 + 1. Let t be (-4)/6 + b/6. Let h = -5/21 + 4/7. What is the second smallest value in h, -5, t?
t
Suppose -f - 5*t - 3 + 22 = 0, 2*t - 3 = -5*f. Which is the second smallest value? (a) -0.1 (b) 0.5 (c) f (d) -0.4
d
Let y = 1 + -2. Let m = -0.26 - -0.76. Which is the second biggest value? (a) 1/3 (b) y (c) m
a
Let z = -0.15 - -25.15. Let c = z - 26. What is the second biggest value in 4, c, -0.3?
-0.3
Let h = -12 + 13. Let s = 6 - 4.5. Let n = s - -0.5. Which is the second biggest value? (a) -0.5 (b) h (c) n
b
Let x = 7 - 6.9. Which is the smallest value? (a) 4 (b) 3/2 (c) x
c
Let s(d) = 3*d + 2*d - 3*d - 1. Suppose v = -2 - 0. Let i be s(v). What is the smallest value in -1/4, i, -3?
i
Let w be 6/2 + (-3)/2. Suppose 0 = -3*d - 3*p - 9, -2*p + 1 = -3. Which is the third biggest value? (a) w (b) -2/5 (c) d
c
Suppose 2*d - 3*c - 12 = 0, 3*c + 8 = -2*d - 4. Suppose 37*z + 4 = 33*z. Let p(m) = -2*m + 9. Let r be p(6). What is the third biggest value in r, z, d?
r
Let j be 0 + (12/14)/(-3). Let u = 0.7 + 9.3. Let q = -10.5 + u. Which is the second biggest value? (a) q (b) -1 (c) j
a
Let g = 0.032 - -2.968. What is the smallest value in -0.4, g, -10?
-10
Let c be (-5 + 0)/(2 + -3). Let a = 1.5 + -1.49. Let r = -2.01 + a. What is the second biggest value in r, 0.3, c?
0.3
Let i = -0.21 - -5.21. Which is the biggest value? (a) i (b) 6 (c) -0.2
b
Let c = 76 + -48. Let y = c - 26.9. Let w = 1 - y. What is the biggest value in w, 4, 0.3?
4
Let j = -13 + 18. What is the second biggest value in j, 4, 3?
4
Let r = 3 - 3.1. Let w = -227/4 - -56. Let l = 0.2 - 0.2. What is the third smallest value in w, l, r?
l
Let t = 1.7 + -11.7. Let x = t - -5. What is the smallest value in 0.05, 5, x?
x
Let v = 0.21 - 0.31. Which is the second biggest value? (a) v (b) 5 (c) -1
a
Let n be 5/(-15)*1/2. Which is the biggest value? (a) n (b) -5 (c) 0.1 (d) 1/3
d
Suppose -2*o + 2 = -4*v - 4,
|
{
"pile_set_name": "DM Mathematics"
}
|
ens digit of (h - 0 - 1)*21?
2
Let n(l) = -32*l - 5. What is the tens digit of n(-4)?
2
Let c(u) be the second derivative of u**5/20 - u**4/6 - u**3/2 - u**2/2 + 3*u. Let f be c(3). Let k(g) = -9*g + 1. What is the units digit of k(f)?
0
What is the units digit of (-4)/14 - (-1484)/49?
0
Let r = 30 + -30. Let p(l) = -l**2 + 4*l + 5. Let q be p(4). Suppose q = f - r. What is the units digit of f?
5
Let a(x) = 3*x**2 + 3*x + 2. What is the hundreds digit of a(7)?
1
Suppose -x + 17 - 5 = 0. What is the units digit of x?
2
Let g = 24 + 24. What is the units digit of g?
8
Suppose 5*b + 3*j = -0*j + 125, 3*b - 3*j = 75. Let n be b/15 - (-2)/(-3). What is the units digit of 15/25*(n - -9)?
6
Suppose -2*n + 10 = -0*n. Suppose -2*o + 25 = n. What is the units digit of o?
0
Suppose -2*g = 5*o - 131, -3*o + 0*o - 9 = 0. What is the units digit of g?
3
Let m(w) = -2*w - 4. Let v be m(-10). Suppose 5*f = -3*u - 2, -2*f + 3*u - v = 8*u. What is the units digit of f?
2
Let s(m) = m + 3. Let i(v) = -v**2 + 2*v + 4. Let o(t) = -2*i(t) + 3*s(t). What is the units digit of o(2)?
7
Let l(n) = n**3 + 9*n**2 + n + 7. Let u be l(-9). Suppose -5 + 2 = g - 3*r, 2*g = 2*r + 10. What is the units digit of (u/6)/((-3)/g)?
1
Suppose -2*h + 26 = 2*u, -u = u - h - 23. What is the units digit of u?
2
Let d be 2 + (-2 - -4) + 3. Suppose 2*w - d = -1. Suppose 0 = -2*y + 2*g + 20, -3*g + 2 = w*y - 4. What is the units digit of y?
6
Let y = -2 + 4. Suppose -y*s + 21 = -1. What is the tens digit of s?
1
Let h(f) = -31*f**2 + f + 1. Let j be h(-2). Let r = 177 + j. What is the tens digit of r?
5
Let l = 16 - 9. What is the units digit of l?
7
Let i = 3 - 0. Let y = i + -5. What is the units digit of y - -3 - (-1 + -2)?
4
Suppose -4*r + 10 = i, -3*r + 11 + 1 = 3*i. Let k(g) = g + 6. Let h be k(-5). Let b = i + h. What is the units digit of b?
3
Let h(m) = 19*m - 1. Suppose 0 = -3*u + 4*o - 10, 2*o - 6 = -2*u + 6. What is the units digit of h(u)?
7
What is the tens digit of (0 + 3 - 109)/(-2)?
5
Suppose -p - 1 + 3 = 0. What is the tens digit of 55/p - (-2)/(-4)?
2
Suppose p = 6 + 2. Suppose -k = -3*k + p. What is the units digit of k?
4
What is the tens digit of (-9)/(-3*(-3)/(-72))?
7
Suppose -4*r = -r - 168. Suppose -2*p - r = -6*p. What is the tens digit of p?
1
Let l = 5 + -12. Let q = 13 - l. What is the units digit of q?
0
Suppose 0 = -2*r + 4*i - 2, 2*r + 2 = 4*r - 3*i. Suppose 81 = 4*p - r. What is the units digit of p?
2
Suppose -5*c - 15 = 5*a, -c - 1 - 2 = 0. Let k(z) = 2*z - 1. Let p be k(2). Suppose a*s = -s + p. What is the units digit of s?
3
Let i = 5 - -9. Suppose -i = -3*u + 61. What is the units digit of u?
5
Suppose 0 = 2*l - t - 3, 3*l + t - 7 = 5*t. Let j = 32 - l. What is the tens digit of j?
3
Suppose -4*z = 5*s + 6 - 35, 2*s = 3*z - 16. Suppose 0 = -4*p - 11 - 9. What is the units digit of p/15 + 62/z?
0
Suppose c - 76 = -c. Suppose 0 = -0*m - 2*m + c. Suppose -3*f + m = 1. What is the units digit of f?
6
Suppose d - 15 = -4*d. Suppose -d*x + 0*x = -2*v + 8, -v = 4*x + 18. Let t = x - -7. What is the units digit of t?
3
What is the tens digit of 381/7 - (-40)/70?
5
Suppose -4*n - 7 = 4*h - 3*h, 0 = -2*h + 3*n - 3. What is the tens digit of h/9*(-114)/2?
1
Let u(n) = n**3 - 11*n**2 + 3*n + 2. Let v(i) = 2*i**3 + 0 - 32*i**2 + 10*i + 2*i**3 + 6 - i**3. Let c(l) = 8*u(l) - 3*v(l). What is the units digit of c(7)?
5
Let u be (2 + (-6)/(-1))*1. What is the units digit of 46/6 + u/(-12)?
7
Suppose 1 = 2*t + 11, 63 = 2*b + t. What is the tens digit of b?
3
Let a(p) be the first derivative of -3 + 4 - p**2 - 5*p**2 - p. What is the tens digit of a(-1)?
1
Suppose -5*o + 3*q + 10 = 0, -q = o - 3*o + 4. What is the tens digit of 5*o - (-6)/6?
1
Suppose -n - 2*n = -90. What is the tens digit of n?
3
Let f be (-3)/(-15) + 78/(-15). Let y = 1 - f. Let c = y - 4. What is the units digit of c?
2
Let v = -6 + 182. Suppose 3*r + 0*k = -2*k + 121, 0 = 4*r - k - v. What is the tens digit of r?
4
Let d = 92 - 10. What is the tens digit of d?
8
Suppose -3*z + 53 + 7 = 0. What is the units digit of z?
0
Suppose -4*w + 5*o = 1, -2*w - 2*w + o = -3. What is the units digit of w?
1
Let b = 2 + 1. Let d(t) = 3*t - 4*t**2 - 1 + t**b + 2 - 2*t. What is the units digit of d(4)?
5
Let g = -7 + 4. Let q(x) = -7*x - 3. Let i be q(g). Suppose -5*y + y + 3 = -3*b, 2*y = -4*b + i. What is the units digit of y?
3
Let r(p) = p**2. Let y(t) = -2*t**2 + 7*t. Let o(k) = -3*r(k) - y(k). Let u(l) = 2*l + 2. Let a be u(-4). What is the units digit of o(a)?
6
What is the tens digit of (-10)/(-2) - 1518/(-11)?
4
Let t = -2 + 6. Suppose 15 = t*b - b. What is the units digit of b?
5
Let m(w) be the second derivative of w**4/12 - 7*w**3/6 - 4*w**2 + w. What is the units digit of m(9)?
0
Suppose 147 = 3*y - 0*y. What is the units digit of y?
9
Let w be 2 + -2*(-3 + 2). Suppose w*d + 132 = 2*r, -277 = -4*r - 5*d - 78. What is the units digit of r?
6
Suppose n + 3*n = -5*m + 39, 15 = 5*m. Let o = n - 6. Suppose d + 6 = -4*x, o*d + 2*x = -2*d. What is the units digit of d?
2
Let q(g) = g**2 + 4*g - 6. Suppose 0*o - 5*o - 25 = 0. Let d be q(o). Let k = d + 2. What is the units digit of k?
1
Let p(k) be the third derivative of -k**6/120 - 2*k**5/15 - k**4/12 - 7*k**3/6 - k**2. What is the units digit of p(-8)?
9
Let c(l) be the first derivative of -l**4/4 + 5*l**3/3 + 2*l**2 - 4*l - 7. What is the tens digit of c(4)?
2
Let p(m) = -m**3 - 5*m**2 + 4. Let v be (1/2)/(4/(-40)). What is the units digit of p(v)?
4
Suppose 64 = a + 3*a. What is the units digit of a?
6
Let q = 46 - 31. What is the units digit of q?
5
Let z be (1/(-3))/((-2)/(-6)). Let c = 4 + -6. What is the units digit of (c - 7)*1/z?
9
Suppose -5*n + 15 = -15. Suppose -5*f + 16 - n = 0. Suppose f*j = -2*p + 14, 2*p = -3*j + 6 + 17. What is the units digit of j?
9
Suppose 4*j - 233 = 3*n + 186, -4*j = -4*n - 420. What is the units digit of j?
4
Suppose -3*m = -l + 5*l + 33, 4*l + 5 = m. Let w = m - -8. What is the units digit of w?
1
Suppose -f + 3 = 0, -4*f + 2 = -3*c - 1. What is the units digit of c?
3
Let n = 18 - 5. What is the units digit of n?
3
Suppose 0 = 2*o - 4 - 4. What is the units digit of o?
4
Let c(m) = -3*m - 3*m - 4*m + 1. Let x = 13 - 14. What is the tens digit of c(x)?
1
Let f(b) = 3*b**2 + 6*b - 3. What is the units digit of f(-5)?
2
Let p = -16 + 24. What is the units digit of p?
8
Suppose 2*h + 81 = 5*h. Let r = -8 + h. What is the tens digit of r?
1
Suppose -3*w = -b + 22, -4*w - 48 = -b - 3*b. Let s(a) = a**3 - 6*a**2 - a - 7. What is the units digit of s(b)?
5
Let k(w) = 3*w + 5. Let o be k(-4). Let b(r) = -r + 10. What is the units digit of b(o)?
7
Let h be 4*(30/(-8))/(-3). Let o(y) = y**3 - 4*y**2 - 5*y + 2. Let t be o(h). Suppose t*u + 0 = 6. What is the units digit of u?
3
Suppose 1 - 5 = 2*f. Let l = f - -3. Let s(v) = 5*v**2 - v. What is the units digit of s(l)?
4
Let n(v) = -v + 3. Let u be n(3). Let k be (5 + -2)/(u - 1). Let w = k - -11. What is the units digit of w?
8
Let l = -17 - -9. What is the tens digit of (-2)/(l/12) - -20?
2
Let s(r) = -6*r**2 + 2*r + 3. Let p be s(-2). Let j = -15 - p. What is the tens digit of j?
1
Let b be (1 - -1)/(22/627). Let x = b + -41. What is the units digit of x?
6
Let i(w) = -5*w**3 - w**2. Let x be i(-1). Suppose -x*d = -3*d + 3. Let y = d + 5. What is the units digit of y?
2
Let h(i) = -2*i**3 - 10*i**2 - 6*i + 18. What is the units digit of h(-6)?
6
Let u = 31 - -2. What is the units digit of u?
3
Let f(c) = c**3 - c**2 - 2*c - 2. What is the tens digit of f(3)?
1
Suppose 58 - 10 = 4*y. Let g = y - 1. What is the units digit of g?
1
Suppose -4*j - 20 = 0, -7*f + 2*f - 4*j = -485. Suppose -3*r = -3*y + 78, 0*y - 4*y + 5*r = -f. What is the units digit of y?
9
Let b(i) = i**2 - 2. Let f(w) = -w**2 + 1. Let p be f(2). What is the units digit of b(p)?
7
Suppose 2*o = -3*y - 7, -16 = 5*y - o - 0. Let p = 2 + y. What is the units digit of (p/3 + -1)*-3?
4
Let p(q) = 2*q**2 - 6*q. What is the units digit of p(5)?
0
Suppose -2*h - 5*l + 9 = 0, 3*h - 4 = -h + 4*l. What is the units digit of (5/h - -2)*2?
9
Let v = 17 - 7. Let s = -5 + v. What is the units digit of s?
5
Let j(t) = t + 1. Suppose -21 = -6*w + 3*w. What is the units digit of j(w)?
8
Let q be 1/(0 + 1/(-2)). What is t
|
{
"pile_set_name": "DM Mathematics"
}
|
n).
2*(n - 5)*(n + 18)/7
Let c = 146 - 125. Suppose 22 - 4*q**3 - 7*q**3 + 10*q**3 - c*q - q**3 - 45*q**2 = 0. Calculate q.
-22, -1, 1/2
Let a be 63/(-15)*(1570/180 + -9). Let s(q) be the first derivative of 3*q - a*q**3 - 23 - 1/4*q**2. Solve s(o) = 0 for o.
-1, 6/7
Let x = 1343 + -4028/3. Let k(a) be the second derivative of 0 + 0*a**2 + x*a**3 + 14*a - 1/12*a**4. Factor k(m).
-m*(m - 2)
Let y(g) be the third derivative of 0 + 1/48*g**6 + 74*g**2 + 1/252*g**7 + 0*g**4 + 0*g**3 - 1/18*g**5 - g. Solve y(o) = 0 for o.
-4, 0, 1
Let y be 0 + -3 + -2 - -1. Let j be 13/52 - (15/y - -2). Factor -k + 0*k - 9*k**j + k**2 - 4*k**3 - 3*k.
-4*k*(k + 1)**2
Let f be 3/(9 + (-12 - -4)). Let v be 0/(-1 + f - (3 + -2)). Factor 2/15*r**3 + v*r + 0 + 2/15*r**2.
2*r**2*(r + 1)/15
Let a(v) be the second derivative of v**4/28 - 2*v**3/7 - 33*v**2/2 - 557*v + 2. Factor a(w).
3*(w - 11)*(w + 7)/7
Let o(v) be the third derivative of -v**7/315 - 37*v**6/180 - 31*v**5/9 - 49*v**4/3 + 104*v**3 - 648*v**2. Determine k so that o(k) = 0.
-26, -6, 1
Suppose -16 = -7*b + 3*b, -i + 23 = 4*b. Let r be (i - 0) + (-40)/10 + 1. Factor -5/2*z**3 - 1/2*z**5 + 0 + 0*z - z**2 - 2*z**r.
-z**2*(z + 1)**2*(z + 2)/2
Suppose 5829 = 120*z - 117*z. Let p = 1943 - z. Determine s, given that 0 + p*s**2 - s**5 - 7/2*s**3 - 15/2*s**4 + 0*s = 0.
-7, -1/2, 0
Let u be (-1)/(-5)*(-273)/(-7371). Let p(m) be the third derivative of u*m**5 + 2/9*m**3 + 0 - 5/54*m**4 + 1/270*m**6 + 0*m + 31*m**2. Factor p(j).
4*(j - 1)**2*(j + 3)/9
Suppose -2*y = 4*w - 10, 0 = 4*y - y + 2*w - 19. Suppose 0 = 9*i - 70 + y. Find h such that -20*h**4 + 6*h**4 + 12*h**3 + 14*h**2 - h**5 - 4*h - i*h**5 = 0.
-2, -1, 0, 1/4, 1
Let f = 2223 + -346. Let m = 24403/13 - f. Solve -2/13*i**4 + 6/13*i**2 + 2/13*i - 4/13 - m*i**3 = 0 for i.
-2, -1, 1
Let w(m) be the first derivative of -m**4/6 - 26*m**3/3 + 85*m**2/3 + 82*m - 494. Factor w(g).
-2*(g - 3)*(g + 1)*(g + 41)/3
Suppose 0 = 20*i - 25*i + 55. Suppose i = 8*r - 13. Let -6*n**3 + 3*n + 6*n**4 - r*n**2 - 3*n**4 + 3*n = 0. What is n?
-1, 0, 1, 2
Suppose 5*v - k = 8*v - 0*k - 15, -3*k = 27. Let 3*o**5 - 10*o**3 - 30*o**2 - v*o + 29/4*o**4 + 4 = 0. Calculate o.
-2, -2/3, 1/4, 2
Let q(m) = -m**2 - 2. Let t(r) = -3*r**2 - 9. Let d(n) = 4*q(n) - t(n). Let f(l) = -l**3 + 19*l**2 + 28*l - 7. Let j(i) = 21*d(i) + 3*f(i). Factor j(a).
-3*a*(a - 14)*(a + 2)
Let f(x) be the first derivative of 4*x**3/3 + 794*x**2 - 1592*x - 4086. Factor f(y).
4*(y - 1)*(y + 398)
Solve -496/11*n - 18/11*n**4 - 200/11*n**2 + 156/11*n**3 - 192/11 = 0 for n.
-2/3, 4, 6
Let g be (-88)/(-4 + 10/5). Let d = 44 - g. Solve d + 9/7*b**4 + 0*b**3 + 3/7*b**5 + 0*b + 0*b**2 = 0.
-3, 0
Let q(l) be the third derivative of -l**6/660 - 17*l**5/330 - 109*l**2. Factor q(f).
-2*f**2*(f + 17)/11
Suppose 15*o + 17901 = -12*o. Let l be (o/130)/(2/(-5)) + -4. Let -33/2*j**4 + 3*j**2 - l*j**5 - 23/4*j**3 + j + 0 = 0. Calculate j.
-1, -2/7, 0, 2/5
Let n(l) be the second derivative of -l**5/30 - 61*l**4/18 - 58*l**3/3 - 3120*l. Suppose n(z) = 0. What is z?
-58, -3, 0
Let t = -5779 + 5779. Let l(w) be the third derivative of -1/36*w**4 + 0*w - 14*w**2 + 1/180*w**5 + t*w**3 + 0 + 1/360*w**6. Factor l(x).
x*(x - 1)*(x + 2)/3
Let p be ((-133)/(-76))/((-7)/(-3)). Let b be 36/24 + 6/(-8). Factor -3/2 + p*z**2 - b*z.
3*(z - 2)*(z + 1)/4
Suppose 20*a - 76 = -6*a + 7*a. Let q(g) be the first derivative of -2/3*g**3 + g**a + 0*g**2 + 0*g - 2/5*g**5 + 2. Suppose q(s) = 0. What is s?
0, 1
Let k = 82313 - 1563945/19. Solve -46/19*y**2 + 56/19*y + 16/19*y**3 - k*y**4 - 24/19 = 0.
1, 2, 3
Let a(h) be the third derivative of 4/15*h**5 - 2 + 4/15*h**6 + 0*h + 54*h**2 + 2/35*h**7 + 0*h**3 + 0*h**4. Determine x so that a(x) = 0.
-2, -2/3, 0
Let w = 21510184401/173204 + -2359603/19. Let v = w + -2/2279. Let -v*y**2 + 1/4*y + 1/2 = 0. What is y?
-1, 2
Let r be ((0 + 90)/(-9))/2 + 7. Let m(n) be the second derivative of -1/8*n**4 - 14*n + 0 - 15/4*n**r - 3/2*n**3. Factor m(c).
-3*(c + 1)*(c + 5)/2
Let r(d) = -13*d**2 + 377*d + 788. Let x(b) = 6*b**2 - 188*b - 392. Let z(n) = 4*r(n) + 9*x(n). Suppose z(y) = 0. What is y?
-2, 94
Let v(d) be the first derivative of -28*d**5/5 + 36*d**4 - 104*d**3/3 - 120*d**2 + 36*d - 3600. What is z in v(z) = 0?
-1, 1/7, 3
Let s(i) be the first derivative of 1/12*i**3 + 25 - 13/2*i**2 + 169*i. Factor s(x).
(x - 26)**2/4
Let d(m) be the first derivative of 4*m**3/3 - 230*m**2 - 1416*m + 2377. Factor d(v).
4*(v - 118)*(v + 3)
Let k(q) be the second derivative of q**5/5 + 13*q**4/3 - 130*q**3/3 + 102*q**2 + 2659*q. Factor k(a).
4*(a - 3)*(a - 1)*(a + 17)
Let p(m) be the first derivative of m**4/14 + 101*m**3/21 - 34*m**2/7 + 217*m - 102. Let y(w) be the first derivative of p(w). Factor y(i).
2*(i + 34)*(3*i - 1)/7
Factor 2*y**4 + 58532*y**2 - 58532*y**2 - 40*y**3 + 0*y**4.
2*y**3*(y - 20)
Let o(q) be the first derivative of 27/7*q**2 + 125 + 1/7*q**3 + 0*q. Determine l so that o(l) = 0.
-18, 0
Let k(m) be the third derivative of -m**8/1512 - 8*m**7/189 - 37*m**6/36 - 10*m**5 + 20*m**4 + 1344*m**3 + 2*m**2 - 413*m. Suppose k(p) = 0. Calculate p.
-12, -7, 3
Let l(n) be the second derivative of n**4/12 - 634*n**3/3 + 200978*n**2 + 636*n. Determine x so that l(x) = 0.
634
Let g(n) be the third derivative of n**6/24 + n**5/3 + 25*n**4/24 + 5*n**3/3 - 4*n**2 + 4*n. Determine i, given that g(i) = 0.
-2, -1
Let c(t) = -8*t**5 - 40*t**4 - 296*t**3 - 688*t**2 + 2. Let d(x) = -3*x**5 + x**4 - x**3 - x**2 + 1. Let r(m) = c(m) - 2*d(m). Factor r(g).
-2*g**2*(g + 7)**3
Let p(d) be the second derivative of -d**6/60 - 32*d**5/5 + 65*d**4 - 784*d**3/3 + 524*d**2 + 484*d + 2. Let p(w) = 0. Calculate w.
-262, 2
Suppose -192/11 - 210/11*f**3 + 50/11*f**4 - 1000/11*f - 1392/11*f**2 = 0. Calculate f.
-3, -2/5, 8
Let b(l) = l**4 - 2*l**3 - l**2 - l + 1. Let v(r) = 9*r**4 - 43*r**3 + 196*r**2 - 316*r + 8. Let i(k) = 24*b(k) - 3*v(k). Factor i(n).
-3*n*(n - 14)*(n - 11)*(n - 2)
Find w such that 6*w**2 - 46 - 8*w**2 + 21*w + 3 + w**2 - 55 = 0.
7, 14
Let s(k) = -3*k + 2. Let r be s(-9). Let q = 7 + r. Find g such that 10*g**5 - q*g + 6*g + 140*g**3 - 240*g - 135 + 90*g**2 - 75*g**4 = 0.
-1, -1/2, 3
Let p(h) be the first derivative of -9*h**5/10 - 33*h**4/8 + 2*h**3 + 559. Factor p(m).
-3*m**2*(m + 4)*(3*m - 1)/2
Let i(g) be the second derivative of 551*g**5/10 - 550*g**4/3 + 547*g**3/3 + 2*g**2 + g - 572. Factor i(s).
2*(s - 1)**2*(551*s + 2)
Let a be 11 - ((-1431)/54 - -36). Suppose -27/4*p**2 - 27/2*p + 0 + a*p**3 + 3/4*p**4 = 0. Calculate p.
-3, -2, 0, 3
Suppose -5*a = -u - 67, -5*a - 2*u + 0*u + 61 = 0. Suppose 3 + 16*j**2 - a*j**3 + 7*j**3 - 2*j + 8*j**3 + j**4 - 20*j**2 = 0. Calculate j.
-3, -1, 1
Solve -939140517/5 - 4149369/5*h - 6111/5*h**2 - 3/5*h**3 = 0.
-679
Let q(t) be the first derivative of -15/4*t**4 + 51 - 27*t**3 - 45*t**2 - 24*t. Suppose q(d) = 0. Calculate d.
-4, -1, -2/5
Suppose 23*n + 5*w = 17*n - 43, 2*w + 26 = 2*n. Suppose 0 - 1/6*z**n + 2/3*z = 0. What is z?
0, 4
Suppose -47*f + 159 - 5 = -128. Let d(b) be the third derivative of -2/45*b**5 + 0*b - 1/180*b**f - 32*b**2 + 0*b**3 + 0 + 0*b**4. Find u such that d(u) = 0.
-4, 0
Let q be (108/(-168))/((16 - 22) + (-128)/(-14) + -4). Find r, given that q*r - 1/4*r**3 + 9/2 - r**2 = 0.
-3, 2
Let b(y) be the third derivative of y**5/6 - y**4/3 + 5*y**3/3 + 6*y**2 + 3*y. Let o(d) = -21*d**2 + 16*d - 21. Let w(p) = -13*b(p) - 6*o(p). Factor w(i).
-4*(i - 1)**2
Suppose 43*v = 52*v + 216. Let h be (1 + 2/4)/((-9)/v). Suppose -6*y**4 - 132*y**2 - 10*y**3 + 130*y**2 + h*y - 2*y = 0. What is y?
-1, 0, 1/3
Let j(v) = -7*v**3 - 2579*v**2 - 409533*v + 1679613. Let q(z) = -64*z**3 - 23212*z**2 - 3685796*z + 15116516. Let b(i) = 28*j(i) - 3*q(i). Factor b(a).
-4*(a - 4)*(a + 324)**2
Let x be (((-9717)/79)/615)/((-4)/5). Factor -1/2*a**2 + 3/2 + 5/4*a - x*a**3.
-(a - 2)*(a + 1)*(a + 3)/4
Find g, given that -67/4*g + 7/4*g**3 + 51/4*g**2 - 55/2 - 1/4*g**4 = 0.
-5, -1, 2, 11
Let 33627*i**2 + 6252*i - 4141*i**4 - 1719*i**4 + 48630*i**3 - 6383*i**4 - 2646*i**5 + 252 = 0. Calculate i.
-7, -2/7, -1/18, 3
Suppose -26*k = -25*k - 4. Let i be ((-96)/(-30))/k + 72/(-140). Find w, given that 8/7*w + 8/7*w**3 - 12/7*w**2 - 2/7*w**4 - i = 0.
1
Let d(q) be the first derivative of q**4/4 + 91*q**3/6 + 217*q
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{
"pile_set_name": "DM Mathematics"
}
|
+ u and give c.
15
Express (26*x**2 + 212 - 212)*(-4*x - 2*x + 1 + 7*x) as k + s*x**2 + i*x + j*x**3 and give s.
26
Express -16*c**2 - 17*c**2 + 34*c**2 + 31 as f*c + n*c**2 + u and give n.
1
Rearrange 0*a**2 - 5*a**3 - 4*a**3 - 2*a**2 + 0*a**3 to the form y*a + o*a**3 + c + s*a**2 and give y.
0
Rearrange (-2*c**3 - c**3 + 12*c**3)*(2 + 8 - 3) - 2*c**3 + 0*c**3 + c**3 to x*c**3 + s*c + z + m*c**2 and give s.
0
Express -5*s - 2*s + 14*s + 3*s in the form n*s + c and give n.
10
Rearrange (-o - 5*o + 3*o + 0 + 2*o + 0 + (-3 + 0 + 1)*(4*o - o - o) - 5*o + 0*o + 4*o)*(0 + 0 + o) to the form k + l*o**2 + p*o and give l.
-6
Rearrange (2*i + 3*i - 4*i + (-1 + 1 - i)*(6 - 2 - 2))*(3 - 6 + 8) to a + w*i and give w.
-5
Rearrange 3 - 1 - 4 - 2*m - 7*m**2 + 3*m**2 to the form x + o*m + t*m**2 and give o.
-2
Express 0*q**3 + 3*q**4 + 0*q**3 + (-14*q + 2*q**2 + 14*q)*(-3*q**2 - 2*q**2 + 7*q**2)*(6 + 3 - 3) as d*q**4 + i*q + h*q**3 + k + j*q**2 and give j.
0
Rearrange (5*b - 2*b**2 - 5*b)*(1 + 1 - 3)*(-2 - 1 + 5) to w*b**2 + o*b + h and give w.
4
Express -20*y**4 + 30*y**2 - 3*y**3 + 11*y**4 + 11*y**4 in the form i*y**4 + u*y**3 + n + o*y**2 + f*y and give i.
2
Rearrange (r**2 + r**2 + 0*r**2 + (6 - 3 - 1)*(-2*r**2 + 3*r**2 + r**2))*(6 - 2 - 2) to s*r**2 + j + d*r and give s.
12
Rearrange 2*t**4 + 0*t**4 - t**4 - 114 + 114 - 16*t**4 + (-4*t + 3*t + 3*t)*(-3*t**3 + 0*t**3 + 2*t**3) to x*t**3 + s*t**4 + o*t**2 + r + u*t and give s.
-17
Rearrange -2*z**4 + 2 - 2*z + 5*z + 3*z**4 to the form k*z**3 + g*z + f*z**2 + t + n*z**4 and give n.
1
Rearrange -f + 0 + 0 - 5 + f + 5 + (-5 + 3 + 4)*(-2*f - 1 + 1) + (-1 + 1 + f)*(4 + 0 + 1) to the form x + j*f and give j.
1
Express 43*z - 15*z - 7*z as r + m*z and give m.
21
Rearrange (0*f + 0*f - f)*(9*f**3 + 0*f**3 + 0*f**3 + (-1 + 2 + 0)*(-3*f**3 + f**3 + 3*f**3)) to t*f + b*f**4 + m + l*f**2 + x*f**3 and give b.
-10
Express (0 + 0 + 2 + (0 - 2 + 3)*(-3 + 4 + 0) + (1 + 0 - 2)*(1 + 1 - 3) - 1 + 2 + 3)*(1 + 2 - 5)*(79 - 17*b - 79) as p + y*b and give y.
272
Express -a**2 - a**2 + a**2 - 4 + 4*a**2 + a + a**3 in the form o*a**3 + y + d*a**2 + t*a and give o.
1
Express -7*n**3 - 14*n - n**2 + 10*n + n - 2*n as d*n**3 + z*n + p*n**2 + w and give p.
-1
Rearrange 2*h**4 - 3*h + 2 + 1 + 4*h**2 + 0 + 2*h to the form c*h + l*h**2 + a*h**4 + t + k*h**3 and give c.
-1
Rearrange -3*v - 2*v**2 + 7*v - 3*v**3 + 2*v + v**3 to m + b*v + z*v**2 + l*v**3 and give z.
-2
Rearrange 1 + 2*f**4 - 3 - 2*f**2 + 0*f**4 - 4*f**3 + 0*f**2 to k*f**2 + b*f + j*f**4 + z + g*f**3 and give j.
2
Rearrange -48*n**2 - 50*n**2 + 1 + 49*n**2 to the form h*n**2 + z + g*n and give z.
1
Express -3*d + 6*d - 25*d - 19*d in the form i*d + v and give i.
-41
Rearrange 24*a**2 + a**3 - 26*a**2 - 2*a**4 + 4*a - 5 + 4 to f*a + i*a**3 + q + b*a**2 + x*a**4 and give b.
-2
Express -82*o**2 + 61*o**2 + 0 + 0 in the form b*o + h*o**2 + u and give h.
-21
Rearrange 50*t**2 + 88*t**2 + 76*t**2 - 59*t**2 to the form j + x*t + f*t**2 and give f.
155
Express 3*p**2 - 4*p**2 + 0*p**2 - p + p - 2*p**2 + (-2 + 2*p + 2)*(-3*p + 4*p - 3*p) - 8*p**2 - 12*p**2 + 10*p**2 in the form h*p + q*p**2 + x and give q.
-17
Rearrange 2 + 3*h**3 - 3*h**3 - 2*h**3 to n*h**2 + x*h + t + q*h**3 and give n.
0
Express (2*r - 5*r + 4*r)*(-7 + 3 + 1)*(3*r - 4*r - 3*r) in the form o + y*r**2 + q*r and give y.
12
Express 3*a**2 - 3*a**2 + 3*a**2 + (1 - 1 - 2*a**2)*(-2 - 3 + 7) + 0*a + 0*a - a**2 - 4*a**2 - 8*a + 8*a in the form n + c*a**2 + q*a and give c.
-6
Express -2*u**3 + 1 + 6 + u**2 - 1 - 3 + 5*u**4 in the form n + p*u**3 + x*u + v*u**2 + y*u**4 and give n.
3
Express -3*f + 0*f + f**4 - 6 + 9 + 7*f as y*f**3 + a*f + q*f**4 + w + z*f**2 and give w.
3
Express (-m + 2*m + m)*(-5*m + m + 2*m + (2 + 4 - 4)*(-3*m - m + 2*m) - 2*m + 1 - 1) - 7*m - 6*m - 4*m - m**2 in the form d + c*m**2 + o*m and give c.
-17
Express (8*t - 7*t + t - 7)*(-4*t + t + 0*t) in the form m + d*t**2 + w*t and give w.
21
Rearrange 2*q - 15*q + 5*q - 3*q to the form n + c*q and give c.
-11
Express (0*s - 4 + 2 - s)*(0 + 5 - 3) as h*s + c and give h.
-2
Express -2 - 2*g**3 + 5*g + 3 - 4*g**3 - 3*g**3 in the form k*g**2 + x*g**3 + l*g + s and give x.
-9
Express 2 - 2 + 15*f + (2 - 4 + 0)*(4*f - 3*f + f) + f - 1 + 1 as z + c*f and give c.
12
Express 32 - 4*i**4 + 4*i**4 + 2*i**4 - 28 + i as a*i + x*i**2 + y + c*i**4 + b*i**3 and give c.
2
Express (-2 - 4*t**2 + 2)*(-2*t + 8*t + 23*t) in the form r*t**3 + j + x*t + v*t**2 and give r.
-116
Express (3*y + 2*y - 3*y)*(9*y - y + 4*y)*(2*y**2 + 0*y**2 + 0*y**2) + 3*y + 3*y**4 - 3*y as z*y**4 + h*y**2 + c*y + j + q*y**3 and give z.
51
Rearrange 0*k**2 + 12 - 14 + k**3 + k**2 to the form d*k**2 + b*k + u + q*k**3 and give d.
1
Express 0*x**2 - 7*x + 2*x**2 + 4*x + 0*x**2 as r*x**2 + o + d*x and give r.
2
Express -15*n**2 + 30*n**2 - 13*n**2 as q + u*n + p*n**2 and give p.
2
Rearrange -4 - 4*w**3 + 3 + 7*w**3 to s*w + x*w**3 + y*w**2 + g and give x.
3
Rearrange p**2 + 0 - p**3 - 2*p**3 - p + 0 + 1 to the form u*p + t + b*p**2 + r*p**3 and give r.
-3
Express (-14 + 2 - 2)*(0*g + g + 0*g) + 2 + g - 2 as s + j*g and give j.
-13
Rearrange 4*l**3 - 3*l**3 - 3*l**3 + (-4*l**3 + 6*l**3 + 2*l**3)*(-2 - 3 + 1) to the form b + o*l + s*l**3 + x*l**2 and give s.
-18
Rearrange -5*g**3 + g**3 + g**3 + (-4*g + 3*g + 2*g)*(-3 - 2*g**2 + 3) + (12*g**2 + 11*g**2 - 29*g**2)*(-3 - g + 3) to c*g**2 + k*g + f + w*g**3 and give f.
0
Express -1 + 19*p + 1 in the form n + o*p and give o.
19
Express (3 - 2*p - 3)*(1 - 1 + p) + p**2 - 3*p**2 + p**2 + 1 - 1 + p**2 - 513 - p**2 + 505 - p**2 in the form f + x*p**2 + n*p and give x.
-4
Rearrange (-4 + 2*x + 4)*(-4 + 4 + 3*x + (2*x + 4 - 4)*(3 - 4 + 0) + 0*x - x + 4*x) to the form o*x**2 + n*x + l and give l.
0
Express (-5*i**2 + 2*i**2 + 2*i**2)*(4*i + 3*i - i)*(-i + 0*i - i) in the form q*i**2 + r*i**3 + n + z*i**4 + p*i and give z.
12
Rearrange 3 + 5 - 5*w**2 + 8*w**2 to v*w**2 + j + t*w and give j.
8
Express -12 + 12 + 25*f**2 + 6*f**2 as s*f + u + l*f**2 and give u.
0
Rearrange (4 - 3 - 2)*(-1 + 9 - 9)*(-1 + 2*m**2 + 1 + m) to the form f + v*m**2 + l*m and give v.
2
Express (3*t + 2*t - 2*t + 1)*(-1 + 3 + 1) in the form d*t + o and give o.
3
Rearrange (2*f - 2*f - f)*(6 + 2 - 5) - 2*f - 2*f + f + 2*f + f - 5*f + (2*f + 0*f - 4*f)*(-1 - 2 + 5) - f - f + 3*f - 2*f + 5*f + 0*f to j + z*f and give z.
-8
Rearrange (-2*s + s - s)*(-1 - 6 + 2 - 1 - 4 - 3 + 2 - 6 + 2 + (3 - 3 + 1)*(-1 + 1 - 2) - 3 + 3 + 1) to n + p*s and give p.
32
Rearrange (-74*u + 32*u + 5 + 40*u)*(3*u + 0 + 0) to the form j*u**2 + r*u + h and give j.
-6
Express (-3*w + 2*w + 0*w)*(-4*w + w + 102 + w) as d*w + q + h*w**2 and give h.
2
Rearrange (0 + 0 - 2)*(-1 + 9 + 3)*(3*j - j + 0*j) to n + q*j and give q.
-44
Express (-3 - 3 + 5)*((-1 + 2 - 2)*(2*m - 1 + 1) - 9*m + 2*m - 5*m) as i + z*m and give z.
14
Rearrange -j**4 + j**2 + 14*j**3 - 21*j**3 - j - 1 + 8*j**3 to f*j + b*j**4 + z + w*j**3 + t*j**2 and give b.
-1
Express 3*m - 3*m + m**3 - 680 + 678 + 17*m**4 as p*m**2 + r + x*m**4 + y*m**3 + t*m and give r.
-2
Express -43*k**2 - k**3 + 3*k + k**4 + 2 - k + 44*k**2 as s + q*k**3 + x*k**2 + n*k**4 + g*k and give q.
-1
Express -7 - 5 - 7 + 21 - 6*b as a + w*b and give a.
2
Rearrange -12*t**2 + 27*t**2 + 31*t**2 + 33*t**2 - 2*t to u*t + z*t**2 + q and give u.
-2
Rearrange 5*m**2 + 11*m**2 - 23*m**2 + 4*m**2 + 2 - m**3 to h*m**2 + w*m + b*m**3 + t and give t.
2
Express (-1 + 1 - a**2)*(4 - a - 4) - 19 - 5*a**3 + 19 in the form c*a**3 + p*a + q*a**2 + f and give c.
-4
Rearrange -2*f**2 - 64*f - 869*f**3 + 2*f**2 + 867*f**3 to the form i*f**2 + s + n*f + c*f**3 and give n.
-64
Rearrange (1 + 0 + 1)*(-5*t + 4*t - 8*t) to the form c*t + j and give c.
-18
Express (7 - 7 - 24*a)*(-1 - 4 + 6)*(2 - 3 - 1) in the form c + p*a and give p.
48
Express (3*p + p - 5*p)*(-2 + 5 + 0) + (-3*p + 0*p + p)*((0 - 3 + 1)*(-2 - 3 + 6) - 6 + 0 + 1) as s + o*p and give o.
11
Rearrange (-8*g - 260 + 260)*(g + 0*g + g) to r + z*g + b*g**2 and give b.
-16
Rearrange -1 - 3*t**3 + 3*t**3 - 3*t**3 to i + u*t**2 + a*t**3 + m*t and give a.
-3
Express 3*f - 3*f + f + (-3*f - 4*f + 5*f)*(4 - 4 + 2) + 3*f + 2*f - 3*f + (-3 + 2 + 2)*(-3*f + 0 + 0) - f - 4*f + 3*f in the form i*f + t and give i.
-6
Express -44*z - 56*z + 19*z + 24*z as i*z + p a
|
{
"pile_set_name": "DM Mathematics"
}
|
is the second smallest value in h, -1, -5, 2?
-5
Let f = 30 + -25. Which is the biggest value? (a) 4 (b) f (c) -5
b
Let k(j) = j + 14 - 14 - 2*j. Let t be k(5). What is the smallest value in -4, t, 3/2?
t
Let d = 27/8 + -767/232. What is the second biggest value in 2, d, -1/3, 3?
2
Let v = 0.741 - 0.041. Let o = 2.5 - 3. Let z = o + v. Which is the biggest value? (a) -0.4 (b) -0.5 (c) z
c
Let b = 61 + -57.94. Let l = -0.06 + b. What is the second biggest value in l, 5, 0.5?
l
Let d = -52 + 53. Which is the smallest value? (a) 1/5 (b) -0.2 (c) d
b
Let i = 0.9 - 0.86. Let a = 2 - 3. Let m = 3 + a. What is the third biggest value in i, 2/5, m?
i
Let k be 30/63 - (1 - 8/12). Which is the second smallest value? (a) k (b) -5 (c) -1
c
Let o = -0.04 - -0.24. Let d = -0.6 + o. Let h = 11 - 7. Which is the third smallest value? (a) -4 (b) h (c) d
b
Let d = -0.1 - 0.1. Let x = -0.6 - -1.7. Let y = 5.1 - x. Which is the smallest value? (a) y (b) -3 (c) d
b
Let g be (1 - (-2)/(-6))/((-55)/15). What is the third smallest value in 1/2, 2/39, g?
1/2
Let r = -4.6 - -5. Let s = r + 0.1. Which is the second biggest value? (a) -0.1 (b) s (c) -0.3
a
Let u = -1.5 + 1.9. Which is the third smallest value? (a) u (b) 5 (c) 2
b
Let s(l) = l**2 - 5*l - 3. Suppose i = -x + 2*i + 5, 5*i + 7 = 2*x. Let w be s(x). What is the third smallest value in 4, w, -0.3?
4
Let v = -0.2 + 3.2. Let w be 39/105 - 15/(-35). Which is the third smallest value? (a) w (b) v (c) 1
b
Let j be (24/16)/(18/(-8)). What is the third biggest value in 3/8, -5, j?
-5
Let s = 0.72 + -0.82. Which is the second smallest value? (a) 0.3 (b) -5 (c) s (d) -2
d
Let m be ((-1)/(-2)*-2)/(14/(-8)). What is the second biggest value in -4, m, -11, 5?
m
Let f = 0.7 + 2.3. Let u(j) be the second derivative of j**3/3 + 7*j**2/2 - j. Let z be u(-6). Which is the third biggest value? (a) -3 (b) z (c) f
b
Let c = 5 - 5.5. Suppose -16 = -5*j + 9. What is the third smallest value in c, 0.3, j?
j
Let s(i) = i**2 + 6*i - 2. Let b be s(-4). Let r be ((-4)/b)/(4/(-5)). What is the second smallest value in 2/5, 1/4, r?
1/4
Let z = 0.07 - 0.07. Let j = z + 0.8. Let b = 5.8 - j. What is the second biggest value in 0.5, b, -5?
0.5
Let g = 39 + -37. Which is the fourth smallest value? (a) -0.3 (b) -0.5 (c) -1/5 (d) g
d
Let c = 3 - 2. Let v = 9.62 - 10. Let b = v + -0.02. What is the smallest value in b, c, -4?
-4
Let t be 28/(-6) - 4/(-2 - -1). What is the third smallest value in -1/5, 2, t, 3?
2
Let y = -0.1 - -0.2. Let a = y - 0.1. Let v = -3.92 - 0.08. What is the biggest value in -0.3, a, v?
a
Let v = -0.8 - -0.68. Let j = -5.12 - v. What is the smallest value in 5, -0.2, j?
j
Let j = -1.5 - -1. Let h = -2.9 + 1.9. Which is the second biggest value? (a) j (b) 0.09 (c) h
a
Let t = 0.1 - 1.1. Let f = 14 - 13. Which is the third biggest value? (a) t (b) f (c) 4
a
Let t = 1.4 - 1. Let b = -4.4 + 4.2. What is the second smallest value in t, b, -4?
b
Let f = -2/81 - 310/567. Let i = -129 + 253/2. What is the third biggest value in i, f, 1/4?
i
Let n = -1.5 - -2. Which is the second smallest value? (a) n (b) 2 (c) -0.2
a
Let m = 26 - 21. What is the second biggest value in m, -1/7, 2?
2
Let t(k) = -4 - 3*k**2 - 3*k + k - 2*k + k**3 + 7. Let x be t(4). What is the biggest value in x, 4, 5?
5
Let z = 33 + -33. Let g(v) be the third derivative of -v**4/24 + 2*v**3 + v**2. Let c be g(7). What is the third smallest value in -2/3, c, z?
c
Let f be 3/(18/124)*3. Let n = 127/2 - f. What is the second biggest value in -1, n, -2?
-1
Let x = -3 - -13. Let v = x - 7. Let k = -5 + 9. Which is the second biggest value? (a) -2 (b) v (c) k
b
Let a = -0.3 + 0.6. Let h = 0.3 - a. What is the biggest value in 5, -1, h?
5
Suppose q + 2*u + 5 = 0, 3*u = 2*q - 6*q. Suppose -4*m - 111 = -4*l - 9*m, -l + 3*m + 32 = 0. Let s = 29 - l. What is the smallest value in s, q, -1/9?
-1/9
Let p = 3 - 6. Let n = 1.3 + -6.6. Let q = n + 5. Which is the second smallest value? (a) p (b) q (c) 1
b
Let v(s) = s**2 - 3*s - 6. Let a be v(5). Suppose 6*b = -5 - 1. What is the second smallest value in b, a, -1/2?
-1/2
Let p = 11 - 10. Let m = p + -6. Let i = -0.1 + 0.1. What is the second biggest value in m, i, 5?
i
Suppose 0 = 5*y - 35 - 65. Let o be (-1)/5 + 12/y. Let t = 0.1 - 0.6. Which is the second smallest value? (a) t (b) -2/7 (c) o
b
Let w be (6 - -1)*(-36)/(-14). Let n be (-6)/(-8)*(-20)/w. What is the second smallest value in n, -2, -5?
-2
Let v be ((-1)/9)/((-3)/105). Let k = v - 4. Which is the biggest value? (a) 0.1 (b) -3 (c) k
a
Suppose 17 = 4*s + 5. Suppose -4*o + 2*n + 18 = 0, 10 = s*o - n - 2. Let b(f) = f**2 + 6*f - 5. Let q be b(-6). What is the biggest value in o, 2/3, q?
o
Let g(i) = i**3 - i**2 - i + 9. Let m be g(0). Suppose 0 = -5*d - 4 + m. Which is the second biggest value? (a) -0.5 (b) 2/17 (c) d
b
Let o be -1*2 + (-272)/(-34). Which is the third smallest value? (a) 5 (b) o (c) 0.2
b
Let b = 17/12 - 5/4. What is the second biggest value in 3, b, 0.1?
b
Let v be -2 + 1/((-2)/(-8)) + -7. Let q = 7.7 - 3.1. Let x = -5 + q. What is the smallest value in -0.5, v, x?
v
Let c = -1/6 - 0. Let w be 1 - (0 + 2 + -3). What is the third smallest value in c, w, 3?
3
Let v = 27.7 + -26. Let q = v - -2.1. Let p = 4 - q. Which is the third smallest value? (a) -2/3 (b) 2/5 (c) p
b
Let x = -0.05 + 0.05. Let w = -0.67 + 0.21. Let m = w - -0.06. Which is the second biggest value? (a) x (b) 0.2 (c) m
a
Let g = 1 + -1.1. Let a = 164 + -169. What is the third smallest value in -3, g, a?
g
Let l be 0 + (-2)/1 + 2. Let g be 1/(-2 + 2 + 1). What is the second smallest value in g, -3, l?
l
Let k(p) = -3*p + 1. Let z be k(-1). Let b(c) be the first derivative of c**3/3 - 2*c**2 + 4*c - 1. Let h be b(z). What is the smallest value in h, -4/5, -4?
-4
Let o = -0.2 - -1.2. Let r = -3 - o. Let s = -4.3 - r. What is the third biggest value in 4/3, s, -2?
-2
Let t be (2/(-6))/(1 - -1). Let o = -2 + 2. Let i be 0/2 - (-6)/(-27). What is the third biggest value in o, t, i?
i
Let k = 0 + 0.04. What is the third smallest value in 1/4, -2, k?
1/4
Let t = -7.13 + 0.13. Let k = t + 10. Let v be (-4)/7*3/(-4). What is the smallest value in 0.3, k, v?
0.3
Let f(p) = p**3 - 7*p**2 - 8*p - 6. Suppose r + r - 16 = 0. Let x be f(r). Let u be 4/(-4) - 7/x. Which is the second biggest value? (a) u (b) 3 (c) -0.1
a
Let l = 706/5 - 142. What is the fourth smallest value in 1/3, l, 2/11, -1?
1/3
Let s = 2.4 - 2.29. Let u = s - 0.51. Which is the third smallest value? (a) 0.2 (b) -2/9 (c) u
a
Suppose -8 = -4*r, -r - 13 = 3*q - 0*q. Let n = 0.23 - -0.07. Let h = n - -1.7. What is the second biggest value in -1, h, q?
-1
Let h = 153 + -154.71. Let y = h + 0.21. Which is the second smallest value? (a) -0.2 (b) 0.5 (c) y
a
Let k = -0.03 + -3.97. Let x = 0.5 - k. Let c = 0.5 - x. What is the smallest value in -0.5, -5, c?
-5
Let a = -0.5 + -0.5. Let i = -1.2 - a. Let h = -0.1 - i. What is the second smallest value in h, 1/4, 3?
1/4
Let w = -28 + 40. Let n = w + -7. Which is the third biggest value? (a) n (b) 1/7 (c) -1
c
Let h = 0.3 + -0.6. Let d = -12 + -4. Let s = -15.7 - d. Which is the second biggest value? (a) s (b) -1/6 (c) h
b
Let d = 1.757 + 0.243. Let j = 2.5 + -3. Which is the second smallest value? (a) 0.3 (b) j (c) d
a
Let w = -11.9 + 13. Let t = -0.9 - w. Which is the second biggest value? (a) 2/3 (b) 0.1 (c) t
b
Let z = -32 - -32.4. What is the second biggest value in -1, 4, z?
z
Let u = -3 + 8. Let h = 20 + -20.11. Let j = -3.89 + h. What is the smallest value in 2/5, u, j?
j
Let w = 4 + -5. Let d be w*36/15 - -2. Let f = -7 - -7. Which is the biggest value? (a) d (b) 3 (c) f
b
Suppose 0 = 10*x - 8*x - 2. Suppose x = -2*p + 5*l, -5*p + 4 = l - 7. Let h be 0 - ((-3)/(-2))/(-3). Which is the second biggest value? (a) h (b) 5 (c) p
c
Let j = -609/4 - -153. What is the third biggest value in 3, -1/3, j, -0.5?
-1/3
Let x = 21 + -21.4. Which is the second biggest value? (a) 0.2 (b) x (c) -1/7
c
Let n = 0.5 + -0.8. What is the smallest value in 4, -1/2, n?
-1/2
Let m = 6.4 - 6. Let a be 1 - 3 - (-2734)/12. Let s = a + -225. What is the second smallest value in s, 2, m?
s
Let v = 12 + -11.68.
|
{
"pile_set_name": "DM Mathematics"
}
|
f*j**2 + b*j and give b.
0
Rearrange 14895*f + 4 - 33*f**2 + 4*f**3 - 2 + f**4 - 14895*f - 13*f**2 to w*f**3 + z + n*f + x*f**4 + b*f**2 and give w.
4
Rearrange 22*i**4 + i**2 + 1 - i - 13*i**4 - 4*i**4 + 0 - 9*i**4 + i**3 to s + x*i**2 + y*i**4 + f*i + o*i**3 and give s.
1
Express -39*a**3 - 35*a**2 - 4*a + a**4 + 3*a**2 + 38*a**3 as z*a**2 + n + h*a**3 + b*a + f*a**4 and give b.
-4
Rearrange (0 + 1 + 1)*(123 - 2*t + 197 + 328 + 5) to p*t + s and give p.
-4
Express (-9 + 4 - 5)*(0*d**2 - 733 + 700 - d**2 + d) as f*d**2 + j*d + k and give j.
-10
Rearrange (-3 + 3 - 2*g)*(g + 2*g + g) + 281*g - 562*g - 291*g**2 + 281*g to the form x + s*g**2 + b*g and give s.
-299
Express 5531*m - 11191*m + 7 + 5609*m + (-3*m + 4*m + m)*(-1 + 1 - 1) in the form t*m + w and give w.
7
Express 13*g + 120*g**2 + 6*g**3 - 120*g**2 + 6*g - 8*g in the form v*g**3 + p + y*g + i*g**2 and give v.
6
Express 8*x**2 - 3877 + 3875 + x - 48*x**2 - 32*x**2 as b*x**2 + u + y*x and give b.
-72
Express -12*a**4 - 1018*a**3 - 2*a - 2*a**2 + 1 + 1018*a**3 in the form x + l*a**4 + d*a**3 + u*a**2 + m*a and give m.
-2
Express -147*x - 143*x - 5*x**4 + 0*x**3 - 2*x**3 - x**2 + 274*x in the form f*x**2 + o*x + w*x**4 + v + u*x**3 and give w.
-5
Rearrange -119*l + 14*l**3 + 34*l + 42*l - 11*l**4 + 41*l - 2 to the form a*l + m*l**2 + i + t*l**4 + f*l**3 and give a.
-2
Express -273*k**2 + 1947*k - 1947*k in the form p*k**2 + s + r*k and give p.
-273
Rearrange (704 - 26*x**2 - 343 - 349)*(2*x**2 + 4*x**2 - 3*x**2) to the form m + o*x + n*x**2 + i*x**4 + b*x**3 and give i.
-78
Express -22 + 7*q**2 + 8*q**2 - 58 + 18 - 23*q**2 in the form y*q**2 + r*q + g and give g.
-62
Express 93 - 702*h**2 + 350*h**2 + 350*h**2 as t*h**2 + u*h + j and give t.
-2
Rearrange 71 + 25*h**2 - 215*h + 214*h - 72 to f*h**2 + c*h + q and give q.
-1
Rearrange 3 - 3*h - 1 - 1 + (2 + 1 - 5)*(2*h - 3 + 3) + (0 - 6 + 0)*(-7*h + 3*h + 2*h) - 2 + 2 + 2*h to b + s*h and give s.
7
Rearrange l + l + l + (0 + 4 - 5)*(-4*l - l + 6*l) + 0*l + 4*l + 4*l - 7*l - 4*l + 4*l to the form n + q*l and give q.
3
Rearrange (10 - 10 + 4*g)*(96 - 201 + 69 + 3*g) to d + r*g**2 + b*g and give b.
-144
Express -22 - 203*w + 42 - 692*w - 20 as p*w + f and give p.
-895
Express 86*k - 159*k**2 - 155*k**2 + 317*k**2 in the form f*k**2 + o + r*k and give f.
3
Express (0 + 1 - 3)*(0*h + 0*h - 2*h) + (2*h - 12*h - 4*h)*(1 - 2 + 3) + 2*h + h - 5*h + (-3*h + 2*h - 2*h)*(1 + 3 - 2) as q*h + y and give q.
-32
Express (-2 - 11 + 10)*((3 - 1 - 4)*(-2*w**2 - w**2 + 5*w**2) - 12*w**2 - 11*w**2 - 5*w**2) in the form f*w**2 + j + y*w and give f.
96
Rearrange (0 - 3 + 35*x + 6)*(x**3 + 3*x**3 - 2*x**3) to i*x + o*x**2 + d*x**4 + k*x**3 + c and give k.
6
Express -22*l**4 + 119*l**2 + 2 - 4*l**4 - 118*l**2 in the form v*l**2 + n + b*l + c*l**3 + r*l**4 and give n.
2
Rearrange (80*j + 123 - 123 + (1 - 3 + 4)*(-j + 2*j + j))*(-3*j**2 + 3*j**2 + 3*j**2) to the form g*j**3 + v*j**2 + i + q*j and give g.
252
Express 3272 - 172*l - 3272 in the form o*l + v and give o.
-172
Express 4*t + 30 - 71 - 7*t**2 + 43 as z + d*t + y*t**2 and give y.
-7
Express (-1 - 2*v + 1)*(-4*v - 2*v + 5*v) + (3 - 7 + 0*v + 2*v)*(-3*v + 8*v - 7*v)*(0 + 1 + 1) as x*v + o*v**2 + h and give x.
16
Express 0*a - 3*a + 7*a - 3*a + a - a - 1 + 3*a + 1 + (5*a - 3*a - 3*a)*(-4 + 3 - 2) as y*a + p and give y.
7
Rearrange -3*r**3 - 3*r**3 + 4*r**3 + (-28*r**2 + 20*r**2 + 15*r**2)*(-18*r + 11*r - 8*r) to a*r + c*r**2 + h + z*r**3 and give z.
-107
Express (-2*t**2 + 2*t**2 + 5*t**2)*(6 - 4 - 7)*(2 + 3 + 0)*(-1 + 3 + 0) as f + z*t**2 + q*t and give z.
-250
Express -4*y**2 + 4*y**2 + y**2 + 7 - 2*y + 6*y as o + l*y + i*y**2 and give o.
7
Express -4 - 158*p**2 + 8 + 21*p**2 - 45*p**2 - 7*p**4 + 6*p**4 as l*p**3 + u*p**4 + g*p + s*p**2 + x and give u.
-1
Rearrange -4*k**3 - 4*k**3 + k**3 + (-23*k + 18*k - 38*k)*(0*k**2 + 3*k**2 - 2*k**2) to h*k**3 + x*k**2 + i*k + z and give x.
0
Express 208*u**3 - 8*u + 1 - 436*u**3 + 221*u**3 as l + j*u + n*u**2 + y*u**3 and give y.
-7
Express (10 + 30 + 19)*(j - 4*j + 2*j) + (1 - 2 - 1)*(-2*j + 3*j - 2*j) as u*j + y and give u.
-57
Express -25*o**2 - 59 + 46 - 6*o**2 + (-1 + 1 + 2*o)*(6*o + 0*o - 4*o) - 3*o**2 + 0*o**2 + o**2 in the form z*o + a*o**2 + n and give a.
-29
Rearrange 1 - 608*h + 3 - 722*h - 4 to k + c*h and give c.
-1330
Rearrange (3 - 3 + 2*i)*(-19*i**2 + 11*i**3 + 19*i**2) + 6*i**4 - 3*i**2 + 6*i**2 - 911*i + 912*i to k*i + m*i**2 + h*i**4 + w*i**3 + c and give h.
28
Rearrange 329*f - 376*f - 776*f + 37*f**2 - 38*f**2 to g*f + q + u*f**2 and give g.
-823
Express -612*h**3 + 7 - 636*h**3 + 1218*h**3 as j + f*h + q*h**3 + x*h**2 and give j.
7
Rearrange (3 - 8 - 7 + (3 - 2 - 3)*(0 - 2 + 0))*(0*i + 5*i + 2*i) to m + s*i and give s.
-56
Rearrange 32 - 42 + 10 + 1824*t to the form j + x*t and give x.
1824
Express 65*x + 7 + 25 - 74*x - 3 as h*x + i and give i.
29
Express -2*p**3 - 1495 + 1495 + (-3*p - 2*p + 3*p)*(0*p**2 - 2*p**2 + 0*p**2) + 8*p**3 + 31*p**2 - 31*p**2 as o*p + l*p**3 + n*p**2 + y and give l.
10
Express (3*f - f**3 - 3*f)*(f - f - 2*f) - f - 1327*f**3 + f**4 - f**2 + 2638*f**3 - 1389*f**3 + 4 as x*f**3 + s*f**2 + n + g*f**4 + k*f and give n.
4
Express -434*w - 1174 + 1174 as h*w + q and give q.
0
Express 9*b**3 + 2 - 10*b**3 - 2*b - 4*b**2 + 0*b + 4*b as w*b + o*b**3 + x + d*b**2 and give o.
-1
Express -7*c + 14 + 201 + 4*c in the form s + f*c and give f.
-3
Rearrange -174803*p - 5 - 13*p**3 + 174803*p to b + s*p**2 + g*p**3 + u*p and give g.
-13
Express 120 - 2*n - 30 + 7 as u*n + b and give u.
-2
Express (-3*z + 3 - 3)*(-198 - 5*z + 198)*(2*z - 2*z + 3*z) in the form g*z**2 + c + s*z**3 + l*z and give s.
45
Rearrange (4 - 1 - 4)*(3*i - 4*i + 0*i) + 0 + 29*i - 35*i + 3 to the form a*i + b and give b.
3
Rearrange 7*h**2 + 76 - 39 + 36 - 3*h**2 - 5 to q + t*h**2 + m*h and give m.
0
Rearrange -12*v - 47*v**2 + 45*v**2 + 2 + 11*v + 42*v to i + h*v**2 + s*v and give i.
2
Rearrange 7*l - 19*l**2 + 7*l**2 + 10*l**2 + 3*l**2 - 11*l**3 to w*l**2 + z*l**3 + q*l + y and give z.
-11
Rearrange (24*u - 9 - 23*u - 8)*(-4 + 2 + 3 + (-2 + 0 + 3)*(-4 + 4 + 4) + 0 - 3 + 6) to the form z*u + l and give l.
-136
Rearrange 484*t**3 + 453 - 453 + (-2 + 4 + 0)*(2*t**3 - 1 + 1) - 2*t**3 + 2 - 2 to the form b*t**3 + n*t**2 + o + s*t and give b.
486
Rearrange -141 - 242*i**4 + 70 + 69 - 2*i**4 + 2*i**4 + 2*i**4 + (-3*i**3 + 5*i**3 - 3*i**3)*(-i + 3*i - 4*i) to l*i**2 + w*i**4 + n*i**3 + o + g*i and give w.
-238
Express (-49*f + 21*f - 3 - 38*f)*(4*f**2 - 2*f**2 - 4*f**2) as x*f + p + j*f**3 + l*f**2 and give l.
6
Rearrange (-7 - 4*k**3 + 7)*(0 - 2 + 5) - k**3 + k**3 + k**3 - k**3 + 3*k**3 + 8*k - 7*k to the form a + t*k**3 + j*k + r*k**2 and give j.
1
Express -10*q + 2 + 2*q + 4*q + 3*q**3 - 5*q**3 - q**4 as u*q**3 + b*q**2 + o*q + h + x*q**4 and give x.
-1
Rearrange 79*p + 129*p - 7*p**4 + p**2 - 3*p**4 + 9*p**4 + 3*p**4 to the form h*p**2 + k*p**3 + c*p**4 + v*p + t and give h.
1
Express -2*l + 4*l**2 + 77*l**3 - 2*l**4 - 164*l**3 - 5 + 86*l**3 in the form b*l**4 + j*l + q + t*l**3 + c*l**2 and give c.
4
Express -153*y + 2 + 9 + 8 - 29 + 8 in the form b*y + x and give x.
-2
Express 10*q - 3*q**2 - 109 + 17*q + 112 + 0*q**2 as k + b*q + w*q**2 and give k.
3
Rearrange -3 + s + 16 + 34 - 1 + 5*s to o + m*s and give o.
46
Express (-7 + 1 + 0)*(-k + 2*k + k)*(49 + 71 - 99 - 2*k) as x + m*k + o*k**2 and give m.
-252
Rearrange 0 + 10 - 69*k + 79*k to w*k + y and give y.
10
Rearrange (0 + 0 - 2*r)*(2163 - 10263*r + 2159 + 2166 - 6488) to o*r**2 + f + t*r and give o.
20526
Rearrange -25*d + 26 + 24 + 25 + 25 - 105 to v + f*d and give v.
-5
Express 4*s + 158*s**2 + 355 - 2*s - 355 in the form t*s**2 + x + h*s and give t.
158
Rearrange (3 + 87 - 36)*(-21 - 3*z + 21) to y + w*z and give w.
-162
Express 2*p**3 + 128 + 538*p - 183*p - 180*p - 177*p - 27 in the form n*p**2 + q*p**3 + x*p + y and give y.
101
Express -6*x - 9*x + 3 - 22*x as v*x + n and give v.
-37
Rearrange (4*m - 2 - 5*m + 2*m)*(-40*m - 10 + 9 - 223*m + (-1 + 3 - 3)*(1 - 1 - m)) to the form t + g*m**2 + j*m and give j.
523
Rearrange (-5 + 3 - 5)*(8*w - 5*w + 7*w) + 11*w + 4*w - 4*w to l + x*w and give x.
-59
Rearrange (5*s**2 - 4*s**2 - 5*s**2)*(4*s + 0*s - 2*s) + 463*s**2 - 48*s**3 - 463*s**2 to the form d*s**3 +
|
{
"pile_set_name": "DM Mathematics"
}
|
(a) 0.13 (b) -5 (c) 0.09
a
What is the second biggest value in -4, 11, 0.2, -19/3, 3/8, 5?
5
Which is the third biggest value? (a) 0.51 (b) -4 (c) 2/9 (d) -2 (e) 0.5 (f) 0.4
f
Which is the fifth smallest value? (a) -1 (b) 220 (c) -0.2 (d) 124 (e) 3/2
b
Which is the fourth biggest value? (a) -3 (b) 21 (c) -0.09 (d) -0.03 (e) 0.2
c
What is the fifth smallest value in -5, -1.2, -1, 0, 0.4, -8?
0
What is the fourth biggest value in 10, -24, 2/3, -0.4?
-24
What is the second biggest value in 21, -13, -2131?
-13
Which is the third smallest value? (a) -0.3 (b) -2/3 (c) -0.2 (d) -5 (e) -40
b
What is the biggest value in -2/15, -5, -36062?
-2/15
Which is the second smallest value? (a) -339 (b) 2/11 (c) 2/17 (d) 15/7 (e) 4
c
What is the second smallest value in 1, 4, 5, -3/8, -23, -3?
-3
What is the third biggest value in 5, -10356, 1/30?
-10356
Which is the second biggest value? (a) -2/3 (b) 3 (c) 243
b
Which is the biggest value? (a) -3/7 (b) -205 (c) -13 (d) 0.3
d
Which is the second biggest value? (a) 0.04 (b) 2/3 (c) 0.02776
a
Which is the second smallest value? (a) -0.171 (b) 0.1 (c) 3 (d) 2/345
d
What is the fifth biggest value in -3, 0.1, 0, 20318, 0.5, 2?
0
Which is the second smallest value? (a) -5 (b) -0.061 (c) 8 (d) -3 (e) 0.4
d
What is the fourth smallest value in 8, -6, 4/3, 2/17?
8
Which is the second biggest value? (a) 239 (b) 0.2 (c) -2/59
b
Which is the second smallest value? (a) 3 (b) 35 (c) 2/7 (d) 1/2 (e) -7/3 (f) -3
e
Which is the sixth biggest value? (a) 1 (b) -5 (c) -3 (d) 15 (e) 0.2 (f) -246/7
f
What is the smallest value in -9, 2, 4, -3, 3/103, -0.4?
-9
What is the second smallest value in 12.714, -23, 0.2, 4?
0.2
Which is the fifth smallest value? (a) -23 (b) -0.5 (c) -13 (d) 2/11 (e) 5/4
e
What is the smallest value in -0.5, 0.12, 1/4, 0, -34/3?
-34/3
What is the fourth smallest value in 4, 0.5, -3, 0, 0.2, 580/23?
0.5
Which is the second biggest value? (a) 3 (b) 19 (c) -4/7 (d) -2 (e) -1
a
Which is the second smallest value? (a) -1512 (b) 0.7 (c) 3
b
Which is the third smallest value? (a) -0.433 (b) 100 (c) 4 (d) 3/8
c
What is the second smallest value in 31, 5, 0.17, 0, -3/5?
0
Which is the fourth smallest value? (a) -1/114 (b) 456 (c) -1/6 (d) 5 (e) -5 (f) 3/4
f
Which is the fifth biggest value? (a) 5 (b) 0.05 (c) 4 (d) -1/249 (e) -2/9
e
Which is the second smallest value? (a) 0.2 (b) -2 (c) 5.6 (d) -790
b
What is the second smallest value in 5/24, -3799, 4?
5/24
What is the third smallest value in -2/5, 224/3, 14, -5?
14
What is the third smallest value in -0.1, -2, 8, 6, 597/5?
6
What is the third biggest value in -0.3, -3.9, -0.18?
-3.9
What is the fourth smallest value in 4, -2/5, -2.6, -529?
4
Which is the fourth smallest value? (a) -0.2 (b) 3/2 (c) -2 (d) 0.2 (e) -24 (f) 2499
d
Which is the fourth smallest value? (a) -0.3 (b) 3 (c) -334 (d) 0.1 (e) 47
b
What is the second smallest value in 2/5, -7, 196?
2/5
Which is the fifth smallest value? (a) -3/7 (b) -1 (c) 2/21 (d) -7.8 (e) -0.4 (f) 2
c
What is the biggest value in 2/9, 0.43, 2/57, 0.03, 1/8?
0.43
What is the third biggest value in 1/3, -1, -249, 1/7, 1, -3/5?
1/7
Which is the third biggest value? (a) -0.2 (b) -10067 (c) 41
b
Which is the third smallest value? (a) 1 (b) 1/2 (c) 3 (d) 2.1 (e) -6/5
a
What is the fifth smallest value in -0.79, -2/9, 0.2, -1/2, -0.3?
0.2
Which is the smallest value? (a) 2 (b) -1 (c) -2/17 (d) 1 (e) -0.011
b
Which is the fifth biggest value? (a) 132.4 (b) -1 (c) -0.3 (d) -0.4 (e) 0.5
b
What is the fifth smallest value in 1/7, -12, -4, -0.5, 1/4, 29?
1/4
What is the sixth biggest value in 106, -0.2, 2/5, -1/4, 0.5, 0.3?
-1/4
What is the fifth biggest value in -2, 2/171127, 3, 4, 5?
-2
Which is the third smallest value? (a) 3 (b) -2 (c) 0 (d) 26 (e) 2/5
e
What is the third biggest value in -13, -3.94, 57?
-13
Which is the second smallest value? (a) -1852 (b) 2/7 (c) 0.4 (d) -6
d
What is the smallest value in -2, 1/6, 153681?
-2
What is the third smallest value in -2, 1/5, 100, -2/13, -1/33?
-1/33
Which is the second biggest value? (a) -448/3 (b) 1 (c) -85 (d) -58
d
Which is the smallest value? (a) 1/734 (b) -2 (c) 3 (d) -1/2
b
Which is the second biggest value? (a) 2 (b) 3 (c) 10 (d) 0.1284 (e) -5
b
Which is the smallest value? (a) -2/9 (b) -8343 (c) 0.4 (d) 8
b
Which is the third biggest value? (a) 1/13 (b) -9 (c) -11 (d) -0.4
b
What is the second smallest value in -92548, 3, 0?
0
What is the fourth biggest value in -1/34, 1, 6/7, 0.17, -5?
-1/34
What is the fifth smallest value in 7/11, 3, 1, 7, -3?
7
Which is the second biggest value? (a) 5 (b) -1 (c) -0.32347
c
Which is the third biggest value? (a) -3 (b) 60 (c) 1 (d) -4/5 (e) 7
c
What is the smallest value in 4/171, 1/12, 2/3?
4/171
Which is the third biggest value? (a) 23.3 (b) -1/7 (c) 5 (d) 5/4 (e) -62/9
d
Which is the third smallest value? (a) 3/13 (b) 6 (c) -1/18
b
Which is the third smallest value? (a) -21 (b) -3.5 (c) -19
b
Which is the smallest value? (a) 4 (b) -2/7 (c) -2 (d) 2495 (e) 0.4 (f) -3
f
Which is the biggest value? (a) 25 (b) 0 (c) 11/60
a
What is the second smallest value in 0.02, -4/11, 2/5, -38?
-4/11
What is the third biggest value in 53, 0, -2329?
-2329
Which is the smallest value? (a) -13 (b) -18224 (c) 2 (d) -2
b
What is the biggest value in -6, 4, 2860?
2860
What is the second smallest value in 5, 1, -48/17?
1
Which is the smallest value? (a) 4 (b) -1/3 (c) -1/129
b
What is the smallest value in 1/125, 36.7, -3?
-3
Which is the fifth smallest value? (a) 0.01 (b) 2 (c) 1 (d) -53 (e) 9 (f) 0.2
b
Which is the fifth biggest value? (a) 0.4 (b) 0 (c) -20 (d) -1/5 (e) -39/4
c
Which is the third smallest value? (a) 2/15 (b) -67 (c) 1704
c
What is the fourth biggest value in 6/11, -2.3, -54, 2, -0.3, 5?
-0.3
Which is the smallest value? (a) 1/5 (b) 1/3 (c) 1609 (d) -5
d
What is the fourth biggest value in -3, -0.332, 0.5, -0.2?
-3
What is the fifth biggest value in 3, 1/5, -2, -741, -0.2?
-741
What is the third biggest value in -2, 24.68, -6?
-6
Which is the third smallest value? (a) -20/19 (b) 3.3 (c) 3/5
b
What is the biggest value in 397, -35, -3, 0.5, 0?
397
What is the smallest value in -2/17, 7, -0.02, -1, -1/7, 0.41?
-1
Which is the fourth biggest value? (a) 9/41 (b) 1 (c) 2/3 (d) 5
a
Which is the fourth biggest value? (a) -3 (b) 185 (c) 62 (d) 10 (e) -2
e
Which is the fourth smallest value? (a) 0 (b) 223/2 (c) 4/7 (d) -3/8 (e) 0.13
c
Which is the fourth smallest value? (a) -7 (b) -67.3 (c) 2/9 (d) 2/7 (e) 0.4 (f) -5
c
Which is the third smallest value? (a) -2/15 (b) -187 (c) 1237
c
What is the biggest value in -0.4, -1/2, 4459, 0.4, -0.06?
4459
What is the second biggest value in -396752, -2/15, -2?
-2
What is the third smallest value in -2, 6329, 2?
6329
What is the second biggest value in 4, -3, 0.2, 2/239, 0, -6/5?
0.2
What is the second biggest value in 2/7, 0.2, 8, -4.1077?
2/7
What is the smallest value in 0.333, -0.08, -4, -1/5?
-4
What is the fourth biggest value in -7, -27, -3, -50.92?
-50.92
What is the second smallest value in -2/11, -97, 0.3, 79/2?
-2/11
Which is the smallest value? (a) -3471 (b) -0.3 (c) 2/7 (d) 4
a
Which is the fifth smallest value? (a) 1/5 (b) -2/5 (c) 2 (d) -4 (e) -1948
c
Which is the fourth biggest value? (a) -5 (b) 3 (c) 109 (d) -1537
d
Which is the smallest value? (a) -1/242 (b) 36/7 (c) 0.4 (d) -1
d
What is the fifth smallest value in 3, 5.38, 2, 2/5, -120?
5.38
What is the third biggest value in 3, -1/5, -1, -148, -2?
-1
What is the smallest value in 40/1121, -3/7, 5?
-3/7
Which is the third smallest value? (a) 25 (b) 203 (c) 2 (d) 1/2
a
Which is the smallest value? (a) 1.8 (b) 2 (c) 0.2 (d) 8 (e) 4.3
c
What is the third smallest value in 45/13, 4, -1?
4
What is the second smallest value in 412.1, -5, 5, 4, -3, 0.5?
-3
What is the fourth biggest value in 245, 3, 4, 25/3?
3
What is the biggest value in -1153, 3/7, -2?
3/7
What is the fourth biggest value in -1, -2/3, -674.42, -2, 0.3?
-2
What is the smallest value in 0.10598, 3, -4?
-4
Which is the sma
|
{
"pile_set_name": "DM Mathematics"
}
|
ob of picking 1 u, 1 e, and 1 i when three letters picked without replacement from iiiuieuuiiiiiuei?
1/7
Three letters picked without replacement from {d: 13, c: 6}. What is prob of picking 3 d?
286/969
Calculate prob of picking 1 c, 1 b, and 1 h when three letters picked without replacement from ccqhccmbc.
5/84
Calculate prob of picking 1 z and 1 d when two letters picked without replacement from {z: 1, b: 3, t: 3, d: 7}.
1/13
Two letters picked without replacement from lklkk. What is prob of picking 2 l?
1/10
Three letters picked without replacement from cccqcldcl. What is prob of picking 1 q and 2 l?
1/84
Calculate prob of picking 2 y and 1 r when three letters picked without replacement from {y: 4, q: 2, r: 3}.
3/14
Two letters picked without replacement from yiiiyyyyyyyyyyyyiiy. Give prob of picking 2 y.
91/171
What is prob of picking 2 e when two letters picked without replacement from neepnnn?
1/21
Calculate prob of picking 1 h, 1 e, and 1 a when three letters picked without replacement from {h: 7, a: 5, e: 4}.
1/4
What is prob of picking 4 b when four letters picked without replacement from {b: 7, d: 3}?
1/6
Two letters picked without replacement from tgxggrm. What is prob of picking 1 r and 1 x?
1/21
Two letters picked without replacement from {i: 7, k: 2}. Give prob of picking 2 k.
1/36
Two letters picked without replacement from {b: 17, t: 3}. What is prob of picking 1 t and 1 b?
51/190
Calculate prob of picking 2 s when two letters picked without replacement from llessslseli.
6/55
Calculate prob of picking 1 m and 1 q when two letters picked without replacement from {x: 2, q: 1, m: 1, o: 1}.
1/10
What is prob of picking 1 d, 1 j, and 1 g when three letters picked without replacement from ggglddggdlldj?
10/143
What is prob of picking 1 w, 2 s, and 1 q when four letters picked without replacement from {w: 4, s: 4, q: 2}?
8/35
Calculate prob of picking 1 r, 1 k, and 1 b when three letters picked without replacement from bkkrwwrb.
1/7
Four letters picked without replacement from wwspppwpwwswswsws. Give prob of picking 1 w and 3 s.
4/119
What is prob of picking 1 w, 2 m, and 1 l when four letters picked without replacement from yyymltmllmmlwmmw?
6/91
Two letters picked without replacement from xxoegot. What is prob of picking 1 t and 1 e?
1/21
Three letters picked without replacement from {a: 7}. What is prob of picking 3 a?
1
Three letters picked without replacement from hbhhbhbhhbihhbhbhbh. Give prob of picking 1 b and 2 h.
385/969
What is prob of picking 2 w when two letters picked without replacement from bwvwvvvbwhwhw?
5/39
Two letters picked without replacement from {n: 2, u: 7}. What is prob of picking 2 u?
7/12
Two letters picked without replacement from oxoolollloolxxxlo. What is prob of picking 2 l?
15/136
Calculate prob of picking 1 m and 1 k when two letters picked without replacement from lpmkkkkmlgklkmllp.
9/68
What is prob of picking 1 a and 1 v when two letters picked without replacement from {v: 4, a: 1, s: 4, f: 2}?
4/55
Two letters picked without replacement from {p: 2, s: 3, o: 10}. What is prob of picking 2 p?
1/105
Calculate prob of picking 2 w when two letters picked without replacement from wztpwdzd.
1/28
Three letters picked without replacement from {j: 2, q: 6, y: 1, e: 5, u: 1, z: 2}. What is prob of picking 1 j, 1 y, and 1 z?
1/170
Calculate prob of picking 2 g when two letters picked without replacement from gggmmg.
2/5
Three letters picked without replacement from {x: 1, f: 2, k: 2, u: 1, z: 1, h: 1}. What is prob of picking 1 x, 1 k, and 1 z?
1/28
Two letters picked without replacement from {d: 1, y: 1, m: 3}. What is prob of picking 2 m?
3/10
Calculate prob of picking 1 n and 1 z when two letters picked without replacement from {b: 2, z: 2, s: 1, n: 2, r: 1}.
1/7
Calculate prob of picking 1 y and 1 r when two letters picked without replacement from {f: 7, r: 5, y: 2}.
10/91
What is prob of picking 2 d when two letters picked without replacement from {q: 7, d: 3}?
1/15
Two letters picked without replacement from xhxhxhxhbqxqqbxxx. Give prob of picking 2 q.
3/136
Four letters picked without replacement from avvavvvavv. What is prob of picking 3 a and 1 v?
1/30
Calculate prob of picking 1 b, 1 c, and 2 y when four letters picked without replacement from ycbbbyb.
4/35
Two letters picked without replacement from {w: 2, k: 8, o: 4}. Give prob of picking 1 o and 1 k.
32/91
Calculate prob of picking 1 g and 2 d when three letters picked without replacement from dadagdkkd.
1/14
Calculate prob of picking 1 l and 1 t when two letters picked without replacement from {l: 7, t: 1}.
1/4
What is prob of picking 3 v when three letters picked without replacement from vvv?
1
Calculate prob of picking 3 b when three letters picked without replacement from bbbbbbb.
1
Three letters picked without replacement from ngngggggjnnvnnvgnj. What is prob of picking 2 v and 1 n?
7/816
What is prob of picking 2 o when two letters picked without replacement from {u: 2, o: 2}?
1/6
Three letters picked without replacement from {a: 4, g: 2, s: 1}. What is prob of picking 1 s and 2 a?
6/35
What is prob of picking 1 b, 2 r, and 1 i when four letters picked without replacement from {b: 2, y: 1, r: 2, i: 6, s: 1}?
4/165
What is prob of picking 1 a, 2 u, and 1 k when four letters picked without replacement from kcccuua?
1/35
Calculate prob of picking 1 c and 3 n when four letters picked without replacement from {n: 6, j: 1, r: 5, p: 1, c: 2}.
8/273
Two letters picked without replacement from {h: 3, s: 7}. What is prob of picking 2 s?
7/15
Four letters picked without replacement from ojottutzorzorouootro. Give prob of picking 1 j, 1 u, 1 t, and 1 r.
8/1615
What is prob of picking 1 i and 2 x when three letters picked without replacement from {l: 2, i: 1, x: 4, c: 3, u: 1}?
2/55
Calculate prob of picking 2 l and 1 e when three letters picked without replacement from mlmeleeelmleejllmlm.
42/323
Four letters picked without replacement from nxxqnqbxnqqxxfq. Give prob of picking 1 n, 1 q, 1 f, and 1 b.
1/91
What is prob of picking 1 m and 1 c when two letters picked without replacement from {m: 3, y: 1, d: 5, c: 1, l: 1, u: 4}?
1/35
What is prob of picking 1 o and 2 j when three letters picked without replacement from ccrcrcrccotcj?
0
Two letters picked without replacement from {p: 1, u: 1, n: 1, h: 1, d: 1}. What is prob of picking 1 d and 1 u?
1/10
Two letters picked without replacement from zcjccdcjsmzm. Give prob of picking 1 d and 1 j.
1/33
What is prob of picking 3 x when three letters picked without replacement from xxxxxxxzz?
5/12
Calculate prob of picking 3 r and 1 d when four letters picked without replacement from rdddddrrrrrrrrrrrrr.
455/969
Three letters picked without replacement from {s: 1, l: 1, a: 2, j: 1, t: 1, d: 2}. What is prob of picking 1 l, 1 a, and 1 j?
1/28
Calculate prob of picking 1 y and 2 x when three letters picked without replacement from {g: 12, x: 2, y: 2, r: 4}.
1/570
What is prob of picking 2 g when two letters picked without replacement from jgggggggggggg?
11/13
Four letters picked without replacement from sssssosssossssssss. Give prob of picking 4 s.
91/153
Two letters picked without replacement from {m: 1, s: 2, n: 1}. What is prob of picking 1 n and 1 m?
1/6
What is prob of picking 3 u when three letters picked without replacement from {u: 4, o: 6, r: 1, w: 2}?
2/143
Two letters picked without replacement from jjnnjgjgjjjnbd. What is prob of picking 1 b and 1 j?
1/13
Calculate prob of picking 1 b and 1 w when two letters picked without replacement from {v: 1, m: 1, w: 1, x: 1, b: 1}.
1/10
Two letters picked without replacement from igzrzooiigiijiigigri. Give prob of picking 1 g and 1 o.
4/95
What is prob of picking 1 d and 1 m when two letters picked without replacement from {q: 1, d: 1, p: 1, m: 1, g: 1}?
1/10
Three letters picked without replacement from fffffff. What is prob of picking 3 f?
1
What is prob of picking 3 g when three letters picked without replacement from {r: 4, g: 3}?
1/35
Two letters picked without replacement from aalpiapplp. Give prob of picking 1 i and 1 l.
2/45
Two letters picked without replacement from acoococccoyconcn. What is prob of picking 1 a and 1 o?
1/24
Calculate prob of pic
|
{
"pile_set_name": "DM Mathematics"
}
|
120 for t.
-10
Solve 5551*i = 5555*i - 2*x + 106, -3*i - i = -0*i + 5*x + 141 for i.
-29
Solve -912*h + 913*h = -3*i + 1 - 1, 64 = -4*h + 4*i for h.
-12
Solve -3*n = -5*u - 31 - 14, 7126*n - 7130*n - 2 = u + 7 for n.
0
Solve 15*r - 5*o + 65 = 0, 66*o = -5*r + 68*o + 4 - 26 for r.
-4
Solve 3*a - 200 = -209, 35 = -19*r + 2*a - a - 76 for r.
-6
Solve -2*y - 2*c = 18, 1497*y - 2987*y + 1495*y - 4*c + 9 = -0 for y.
-5
Solve -3*v + 9 = -1975*s + 1974*s, -3*v + 4*s + 27 = 0 for v.
1
Solve -669*a + 663*a + 149 = 4*t + 47, -2*a - 4*t = -122 for a.
-5
Solve 2*x = 121*i - 115*i + 34, 0*x - 68 = -4*x + 4*i for x.
17
Solve 2515*v - 1 = 2512*v - 5*w - 11, 5*w = 2*v + 40 for v.
-10
Solve 6*i - i = -5844*n + 5858*n + 706, 3*n - 4*i + 2*i = -155 for n.
-49
Solve -4*f - 2*x = 96, 4*f + 10097 = 8*x + 10001 for f.
-24
Solve -2*f + 4*f + 138 = -3*k, 36*k - 45*k + 0*f + 90 = -2*f for k.
-4
Solve -170 = 3*l + 4*n, 3*l + 5*n - 48863 + 49074 = 0 for l.
-2
Solve 90900*m + 85 = 5*j + 90901*m, -2*m = 4*j - 74 for j.
16
Solve 0*t + t + 39 = 8*o, -4*o + 29 = -4*t - 127 for o.
0
Solve -s - 588 = 3*s - 16*h, 4*s = -h + 150 - 126 for s.
-3
Solve -73311*b = 2*r - 73313*b + 6 + 4, -2*r - 240 = -25*b for r.
5
Solve 5*l - 5*b = 175, -2*b - 6*b - b = 3*l - 0*b - 129 for l.
37
Solve -8*q + 4*y - 2 = -2*y, -100*y + 7 = -3*q - 104*y for q.
-1
Solve 16 = 2*v + 5*s, 19*v - 10 + 23 = -11*v - 2*s + 107 for v.
3
Solve 664 - 654 = -3*h - 2*h + 7*g, 2*h - 25 = -3*g for h.
5
Solve -31763*n - 5*p = -31767*n - 17, -18 = n - 4*p for n.
2
Solve 2*n + 84*m = -390, 40152 = -5*n - 2*m + 40009 for n.
-27
Solve 7*f - 5*z - 85 = 0, -3*z = -4*f - 2118 + 2169 for f.
0
Solve 1111*x - o = 2184*x - 1075*x - 11, -9*o + 30 = 5*x for x.
-3
Solve 11*n - 242 = 0, -972*m + 3*n = -976*m + 58 for m.
-2
Solve 20*v + 0*o + 5*o = -40*v + 61*v - 75, -4*o - 60 = -2*v for v.
0
Solve 70158*j - 70160*j = -3*b - 2 + 15, -b - 3 = 3*j for j.
-2
Solve -4*s = -2*f + 298, -3*s - f = 79 + 78 + 69 for s.
-75
Solve -8*k - 15*k - 168 = 3*s + 31, -5*s - 2*k - 41 = 0 for s.
-5
Solve 2*z - 13*f - 10*f + 24 = -27*f, -5*f + 24 = -11*z for z.
-4
Solve 21 = -2*a + 6522*s - 6525*s, -1 = 2*a - s for a.
-3
Solve -3*x = 5*l + 15, 443*l + 437*l + 10 = -2*x + 883*l for x.
-5
Solve -248*l + 3*f + 24 = -142*l - 104*l, -f - 38 = -4*l for l.
9
Solve 0 = -23*a + 2*q + 3*q - 48, -5*q = -10*a - 3*a + 8*a - 30 for a.
-1
Solve 15*n + 32*h - 28*h - 67 = 0, -7 - 15 = 4*n - 2*h for n.
1
Solve 3*x - 62 = -2*h, 0 = -14*h + 5*h - 5*x - 35 + 48 + 62 for h.
-5
Solve -25*h - 138 + 646 + 92 = 0, -4*f + 31*h + 116 = 35*h for f.
5
Solve -39 = -2*o - 3*v, -3*o - 6*v + v = -1072 + 1014 for o.
21
Solve 5*c + 14 = -k - 18, 26 = 18*k + 5*c + 7 for k.
3
Solve -734*j + 723*j = -k + 159, 2*k = -2*j - 18 for j.
-14
Solve -5*f + 23 = 13*r, -22*f - 724*r + 719*r + 49 = 0 for f.
2
Solve -4*f - 129 = -74 - 67, -4*f + 32 = 2*t - 20 for t.
20
Solve 4*s - r + 145 = 0, 6*r - 40 = 2*s + 12*r for s.
-35
Solve 0 = 2*j - 5*o - 53, 10 = j + 12192*o - 12189*o for j.
19
Solve 43*z + 2*i = 65*z - 21*z - 16, 12*z - 244 = -2*i for z.
20
Solve -3*g = 3*n - 16*g - 624, 3*n - 17*n - 4*g - 192 = n for n.
0
Solve -5*f + 24 = -3*f + 6*f, 8*s + 3*f - 436 = -f for s.
53
Solve -p + 28 = -5*x + p, -3*x + 6*p + 1547 = 1631 for x.
0
Solve -4*s - 91 = 3*l, 4*l = 122*s - 123*s - 130 for s.
2
Solve 2*x + a + 105 = 0, 948 + 893 - 2096 = 5*x + a for x.
-50
Solve -278 = -4*n - 47*c, -n + 8*c = 3*n - 0*c + 4*c + 28 for n.
-1
Solve 57*o + 91 = 54*o + 5*u, 2*o - 5*u = -26 - 43 for o.
-22
Solve 8 + 118 = 5*m + 4*p + 19, 0 = -2*p - 26 + 32 for m.
19
Solve -503*d + 2*o = 589, -891*d + 888*d - 4*o + 169 = 0 for d.
-1
Solve 13*a - 22*a - 8*c + 24 = 0, 0*c - 3 = 5*a - c for a.
0
Solve -5*h + 210 = -5*p, -816*h = -816*h + 13*p + 494 for h.
4
Solve 4*h = 1859*x - 1863*x + 24, 16*h - 21*h + 50 = -5*x for h.
8
Solve -5*g + 22 = -4*c + 7*c, 3*g = -17*c + 59 + 91 for c.
9
Solve -160*o + 29 = 4*m - 165*o, -11*o + 7 = 3*m for m.
6
Solve -4*y = 4*m + 396 - 448, 9*y + 3*m - 141 = 0 for y.
17
Solve 63*j + 3*s = 65*j - s + 28, 3*j + 22 = 2*s for j.
-4
Solve 0 = 16*m - 8*m - 13*f + 207, -5*m + 3*f - 72 = -m - m for m.
-21
Solve 17*m - 52 + 36 = -4*l + 42, 16 = -7*m + 5*l for m.
2
Solve -102876*o = -102872*o + 5*v - 59, -1934 = -175*o - 3*v for o.
11
Solve -60 = -2*d + 2*y, y + 0*y - 181 = -6*d + 6*y for d.
31
Solve 3*s + 3*h = 135, 202*h - 204*h = -92 for s.
-1
Solve -5*s - 5 = -s + r, -s - 277 + 272 = r for s.
0
Solve -9*p + 342*g - 341*g - 49 = 0, p + 31 = -5*g for p.
-6
Solve 646 = -57*o + 817, -4*j + 30 = 6*o for j.
3
Solve 51*b + 463 = -5*s - 42*b + 90*b, -45*s - 4141 = 3*b - 2*b for s.
-92
Solve 3*r - 1 = -q, 4*q + 14*r + 16 = 43 - 25 for q.
4
Solve 5*p - 39 = -3*f + 17, 3*p - 120 = -4*f - 38 for f.
22
Solve -2*c + 4 = 4*y, -92*y - 5*c = 76*y - 171*y + 3 for y.
1
Solve -162 = u + 160*o, -70*u + 20 - 14 = -71*u - 4*o for u.
-2
Solve 0 = -x - 3*i - 9, 4*i = -1486 + 1474 for x.
0
Solve 3*u = -2*k - 7, -6 - 35 = 3*k - u + 16 - 19 for k.
-11
Solve -3*n - 4 + 47 = -o - 0*n - 41, 83*n + 2 = 81*n for o.
-87
Solve 567697 - 567532 = 7*k + 5*g, 132 = -4*k + 4*g for k.
0
Solve 4*k = 6*k + 2*g - 62 + 86, 24*k - g + 13 = 0 for k.
-1
Solve 5*s + 87*p - 83*p + 57 = 0, 4*s = -5*p - 42 for s.
-13
Solve 0 = 4*p - 6*i - 516, 29590 = 7*p - 3*p + 3*i + 29830 for p.
3
Solve 86*q + 237 - 66 = 2*u - u - 256, 5*q = 3*u - 16 for q.
-5
Solve -2*p + 16 = 5*o, 0 = -564*p + 563*p - 28*o + 8 for p.
8
Solve -2*i - 5*c + c = 14, 4*i + 70 = -29*c - 21 for i.
-1
Solve 3*q + 3*b = -82 - 92, 3*b + 23 + 149 = -4*q for q.
2
Solve -5*y - 40 + 8 = -2*h, -3*y = -38*h + 44 + 196 for h.
6
Solve -52228 = -4*o - 2*z - 52190, o + 41 = 5*o + 5*z for o.
9
Solve -x + 42234*g - 84471*g = -x - 42238*g + 6, -2*g + 30 = 2*x for x.
9
Solve 2811*p - 87 = 2810*p - 7*j, 5*p + 2*j = 6 for p.
-4
Solve 4*o + 2*s + 19 = -3, 5*o - 2 = 6*o - 3*s for o.
-5
Solve 2*j - k = -9282 + 9283, -2 = -2*j - 4*j + 4*k for j.
1
Solve 0 = 2*g + 3*f - 2, -3547225*g + 3547212*g = 3*f - 13 for g.
1
Solve -3*g - 4*i - 68 = 0, -335682*g + 335683*g - 3*i + 1 = 0 for g.
-16
Solve -41*r - 260 = 2*d, 3*d + 332 = -r + 305 for d.
-7
Solve 4*f + 5*w - 166 = 0, 7 - 89 = -2*f - 3*w for f.
44
Solve -5*v - 2*f - 12 = -20, -5*f - 2 - 5 + 2 = 0 for v.
2
Solve 203*o = 202*o + s - 2, 0 = -67*o + 62*o - 5*s - 10 for o.
-2
Solve 342 = 21*k - 3*v, -206*v = -4*k - 204*v + 208 for k.
2
Solve -5*n = -46*z - 404, 130*z = -134*z + 269*z - n - 0 + 43 for z.
-9
Solve -3*q = 44*f + 13*f - 327, -967*f + 971*f - 19 = -q for f.
6
Solve 5*l = -5*f - 10, -4*l + 5*f - 4185 = -4150 for l.
-5
Solve 2103173*a = 2103175*a + 4*s - 14, -5*a + 2*s = -11 for a.
3
Solve -2*v + 2*y - 8 = 0, 15*v + v + y + 50 = 3*v + 5*v for v.
-6
Solve -208*f = 5*h - 212*f - 186, 3*h - 3*f - 182 = -2*h for h.
34
Solve -356*g + 359*g - h - 2 - 74 = 0, -5*h + 322 = 11*g for g.
27
Solve 4*x + 30 = -5*r, -5768*x + 45 = -r - 2884*x - 2877*x for r.
-10
Solve -303075*j - 12 = -303078*j + 3*g, -j = g for j.
2
Solve 2*a - 2*z - 42 = 6*z - 11*z, 0 = -3*a + 42*z - 43*z + 49 for a.
15
Solve -4*q + 186 = g, 13*q - 9*q - 304 + 130 = -7*g for q.
47
Solve -2*h - 2 = 0, 5*h = 5*v + 140 + 40 for v.
-37
Solve -l - 13*l - 3165 = -137*y, -2*l - 4*y + 8*y = y + 50 + 21 for l.
-1
Solve 15*r = 12*r - 2*z + 137, -r + 13*z = 3*r + 27*z - 194 for r.
45
Solve 5*f = 4*d + 19, 103*f - 11 = 58*f + 42*f + 2*d for f.
3
Solve 0 = -o - 3*u - 103, -13*o - 1426*u = -1431*u - 157 for o.
-1
Solve 24*s + 4*m - 300 = 0, -3*m + 12993 = -4*s + 12834 for s.
3
Solve 11*t - 168 = 20*y + 22*t - 3*t - 12*t, -4*y - 2*t = 42 for y.
-9
Solve 0 = -6*l - 2*i - 14, l - 7 = 148075*i - 148080*i for l.
-3
Solve 37 = 5*l - 8*f - 26*f + 30*f - 46, -2*f + 6 = 0 for l.
19
Solve 3 = 3*h + 2*v, -2*h - 5*v = 712006 - 712041 for h.
-5
Solve -5*u - d + d = 3*d - 6*d - 64, 2*u - 634 = 35*d for u.
2
Solve 0*h + h = 3*s + 1, -13*s = h - 8*s - 1 for h.
1
Solve 408*n + 423*n + 554 = 817*n + 4*f, 0 = 4*n - 2*f + 154 for n.
-41
Solve -47 = 17*l - 15*v + 10*v + 6*v, 22 = -11*l - v - 7 for l.
-3
Solve j + 1 = -2*q + 5*q, -38*q + 32*q - 30 = 0 for j.
-16
Solve -j - 18643 + 18618 = 7*d, 12 = -3*j for d.
-3
Solve 33 = -3*d + 2*j, 4*d + 121 = -5*j - 115 + 284 for d.
-3
Solve -b + w = 43, 5*b - 2202*w + 2205*w = 129 for b.
0
Solve 2*j - 5
|
{
"pile_set_name": "DM Mathematics"
}
|
(d) -9
d
What is the second smallest value in -1/4, 19, 4/9, 1/9?
1/9
What is the second biggest value in 0.09, -5, -10, -2?
-2
What is the second smallest value in -0.2, 2, 5, 59?
2
What is the biggest value in -2/9, -21, -0.33?
-2/9
Which is the second smallest value? (a) 0.3 (b) 8 (c) -1/5 (d) -5 (e) -2/9
e
What is the fifth smallest value in -4, -1/17, -0.1, 2/5, 2/25?
2/5
Which is the fourth biggest value? (a) -0.1 (b) 1 (c) 6/11 (d) -1/4
d
What is the second smallest value in 4, 2.2, 5, 0, 2?
2
Which is the second smallest value? (a) -3/4 (b) -1 (c) 0.4 (d) 2/15
a
Which is the third biggest value? (a) 10 (b) -5 (c) 2/7 (d) 5
c
Which is the fourth biggest value? (a) -22 (b) 0.2 (c) 2/9 (d) -5
a
What is the smallest value in 0.4, -2, -28?
-28
Which is the second smallest value? (a) 0.28 (b) 10 (c) -11
a
Which is the fourth smallest value? (a) 0 (b) 2/9 (c) -5 (d) 0.4 (e) 2/11
b
What is the smallest value in 0, -4, 0.24, -6?
-6
What is the second biggest value in -8, 2, -3/8, 5?
2
Which is the biggest value? (a) -4 (b) -19 (c) -1 (d) -1/9
d
Which is the second smallest value? (a) -2 (b) -0.5 (c) 25
b
Which is the smallest value? (a) -1.4 (b) -4 (c) -0.6 (d) -3/8
b
Which is the biggest value? (a) 4 (b) 34 (c) -9.1
b
What is the fourth biggest value in -1/4, -0.03, 0, 2?
-1/4
What is the second smallest value in 2, 3, 98?
3
What is the third smallest value in -1, 21, 2, 0?
2
Which is the second smallest value? (a) -9 (b) 2 (c) 29/2
b
Which is the biggest value? (a) 2/9 (b) -3/5 (c) 4 (d) -1/53 (e) -0.4
c
What is the third biggest value in -103, -0.4, 3?
-103
What is the smallest value in -0.0325, -5, 6/5?
-5
What is the third biggest value in 2, 7/5, -2/7, -1?
-2/7
What is the fourth biggest value in -1, 4, -2/7, -0.03?
-1
What is the second smallest value in -1, 4, -0.05, 1.67?
-0.05
What is the third biggest value in -11/5, -3, 0.5?
-3
What is the biggest value in 5/52, -2, 1/2?
1/2
Which is the third smallest value? (a) -0.5 (b) 3/5 (c) -5 (d) 0
d
What is the biggest value in 2/55, -8, 0.05?
0.05
What is the smallest value in -0.3, 3, 0.259?
-0.3
What is the second smallest value in 4/7, 16, -0.2?
4/7
Which is the second biggest value? (a) -2 (b) -1.4 (c) -1/29
b
Which is the third smallest value? (a) -31/3 (b) -0.5 (c) -0.2
c
What is the second biggest value in -0.11, 6/49, 1?
6/49
What is the biggest value in -21, 3/7, 1, 2/11?
1
Which is the second biggest value? (a) -3 (b) 0.12 (c) 33 (d) -2/5
b
Which is the third biggest value? (a) -16 (b) 3 (c) 1/3 (d) -1/5
d
What is the fourth smallest value in 4, -4, 67, -0.4?
67
Which is the second biggest value? (a) -3942 (b) 4/5 (c) 0.4
c
Which is the fourth biggest value? (a) -16 (b) -4 (c) 1/7 (d) 3
a
What is the second smallest value in 1/16, -24, -4?
-4
What is the third smallest value in -12, -1.2, 5?
5
What is the second smallest value in -2/7, -0.14, 0, -0.2?
-0.2
Which is the smallest value? (a) -1.2 (b) 49/3 (c) -4
c
What is the second smallest value in -3, -5/6, 2/3, 5?
-5/6
Which is the third smallest value? (a) 0.5 (b) 0.2 (c) 29/5
c
Which is the second biggest value? (a) -2 (b) -6 (c) -1
a
What is the third smallest value in -0.1, 4, 9, -8?
4
What is the second biggest value in 0.2, -1, -4, 6.4, -0.3?
0.2
Which is the second biggest value? (a) -0.5 (b) 5 (c) -1 (d) -83/4
a
What is the second smallest value in 1/5, -2, 0.5?
1/5
What is the second smallest value in 86, 0.3, 0, -1/3?
0
Which is the second smallest value? (a) 2 (b) -2 (c) -1/3 (d) -4 (e) -56
d
Which is the fourth biggest value? (a) 2/3 (b) 6 (c) 0 (d) 4
c
Which is the biggest value? (a) 2/19 (b) -1 (c) -3/4 (d) -2
a
Which is the second biggest value? (a) -1.24 (b) -2 (c) -4
b
Which is the third biggest value? (a) 57 (b) -1/5 (c) 0.4
b
What is the third smallest value in -5/4, -0.1, -16?
-0.1
Which is the biggest value? (a) -3/8 (b) -23 (c) 0
c
Which is the second biggest value? (a) 3/5 (b) -3/2 (c) -2 (d) 14
a
What is the fourth smallest value in 442, -2, -8, 0.4, 0.1?
0.4
What is the biggest value in 2/9, -2/19, -1/24, -5?
2/9
What is the third biggest value in -0.5, 5/2, -3/5, -92?
-3/5
What is the biggest value in -5, -2/9, 4/45?
4/45
Which is the smallest value? (a) -5 (b) 25 (c) -3/4 (d) 5
a
Which is the third smallest value? (a) -2 (b) 7/3 (c) 5 (d) 0.4
b
Which is the biggest value? (a) 3 (b) -8.3 (c) 0.1
a
What is the third biggest value in 5, -2/71, 1/2?
-2/71
Which is the third biggest value? (a) 164 (b) -0.2 (c) 3
b
What is the second smallest value in 2, -2/11, -2.2?
-2/11
What is the fourth biggest value in -3, 2, -421, 2/5?
-421
What is the biggest value in -53, -13, -4?
-4
What is the second smallest value in 3, -1203, 0?
0
Which is the second biggest value? (a) 2/3 (b) 2 (c) -1/2 (d) -3
a
Which is the third biggest value? (a) -0.006 (b) 0 (c) 2
a
What is the fourth biggest value in 5, 1.7, 15, -4/7, 0?
0
What is the fourth biggest value in 4, -1/2, 3.3, -2, -3?
-2
What is the second biggest value in 0.5, 2/13, -5, -2/23?
2/13
Which is the second smallest value? (a) 1/8 (b) 4 (c) -2.4
a
What is the fourth smallest value in -5, 4, 3, 0.03?
4
Which is the third biggest value? (a) 0.5 (b) -2 (c) 2/3
b
Which is the biggest value? (a) 3/2 (b) 70 (c) -2 (d) 12
b
What is the second smallest value in -30, -5, -0.5?
-5
Which is the second biggest value? (a) 0 (b) -1 (c) -2/7 (d) 5/98
a
Which is the second smallest value? (a) 3 (b) 15 (c) -0.6 (d) -2/15
d
Which is the third smallest value? (a) -0.5 (b) 48 (c) -0.4
b
Which is the fourth biggest value? (a) -10/3 (b) 2 (c) 5 (d) 0.2 (e) -6
a
What is the third smallest value in -61, 0.07, -2?
0.07
Which is the biggest value? (a) 0 (b) -13/11 (c) -0.4
a
Which is the third smallest value? (a) -1/5 (b) -0.3 (c) 149 (d) 0.3
d
Which is the third biggest value? (a) 13/5 (b) -23/14 (c) -5
c
Which is the second smallest value? (a) -3/4 (b) 0 (c) -1 (d) 0.3
a
Which is the fourth biggest value? (a) -3/4 (b) 392 (c) 1 (d) 2
a
What is the fourth smallest value in 1, 6, -0.2, 2?
6
Which is the biggest value? (a) 4 (b) -142 (c) 2/7
a
Which is the third smallest value? (a) 0.74 (b) 1/12 (c) -0.2
a
What is the smallest value in 158, -0.3, -4, 4?
-4
Which is the second smallest value? (a) -0.579 (b) -1 (c) 0.4
a
What is the third smallest value in -2/3, 0.2, 4/7, -64?
0.2
Which is the fourth smallest value? (a) -2/11 (b) 26 (c) -1 (d) 7
b
Which is the second biggest value? (a) -0.143 (b) 1/5 (c) 4
b
Which is the fourth smallest value? (a) -3/5 (b) -3 (c) -4 (d) -70
a
Which is the third smallest value? (a) 0.4 (b) 11 (c) -63
b
Which is the third smallest value? (a) 0.031 (b) 3 (c) -4 (d) 2 (e) -5
a
Which is the third biggest value? (a) 2/5 (b) -2 (c) -873/8 (d) -1/2
b
What is the second smallest value in 1/6, -9, -0.2?
-0.2
What is the second biggest value in -0.01, -16, -0.2?
-0.2
Which is the second biggest value? (a) 0.2 (b) 0.6 (c) 5 (d) 40
c
What is the second biggest value in -4/7, 4, -2, 498, 1/3?
4
Which is the second smallest value? (a) 4 (b) 0.4 (c) -75
b
Which is the biggest value? (a) -0.2 (b) -4/11 (c) 19 (d) -3
c
Which is the third smallest value? (a) -1/9 (b) -2 (c) 5/3 (d) 2
c
Which is the biggest value? (a) 3 (b) 25/3 (c) 0.7
b
Which is the third biggest value? (a) -464 (b) -5/6 (c) 0.3
a
Which is the second biggest value? (a) -0.3 (b) -0.4 (c) -60 (d) 3
a
What is the smallest value in 81, -2/3, 13/4?
-2/3
Which is the second smallest value? (a) -0.02 (b) -0.3 (c) 4 (d) -1/4 (e) 0.1
d
Which is the second biggest value? (a) 7 (b) -0.2 (c) 28 (d) 4/5
a
What is the second smallest value in -2/63, -7, -2?
-2
Which is the third smallest value? (a) -4 (b) -5 (c) -8
a
Which is the second biggest value? (a) 2 (b) -0.111 (c) -0.6 (d) -0.2
b
What is the biggest value in 3, 0.4, 11078?
11078
Which is the biggest value? (a) 0.3 (b) 0.2 (c) -6 (d) -0.2 (e) -11
a
What is the fourth smallest value in -4, -0.4, -1/2, 0.071, 2/5?
0.071
What is the second biggest value in -0.2, 3, -27?
-0.2
What is the smallest value in 3/7, 1, -
|
{
"pile_set_name": "DM Mathematics"
}
|
(a) -909545 (b) -0.2 (c) -3/8 (d) -4/7 (e) -4 (f) 0
b
What is the fifth smallest value in 1, -86947, -0.4, 2/21, -2/3, 2/7?
2/7
Which is the third biggest value? (a) 4 (b) 0 (c) -2/15 (d) 2/3 (e) -0.82 (f) -3/28 (g) 0.65
g
Which is the third biggest value? (a) 2 (b) 0.35327 (c) -0.09 (d) -4/5 (e) -4/7 (f) 0
f
Which is the second smallest value? (a) -36639/10 (b) -3 (c) -1/6 (d) 94
b
What is the second biggest value in 6, 1, 1/5, -6/23, -0.09865, 2/7, -5?
1
Which is the sixth biggest value? (a) 250 (b) 3 (c) -0.19 (d) 13/4 (e) 5 (f) 2
c
Which is the fifth smallest value? (a) 239 (b) 0.11 (c) -2 (d) 128 (e) 32
a
Which is the third biggest value? (a) 2015116 (b) -5 (c) 8
b
Which is the third biggest value? (a) -13397 (b) 4 (c) -4331
a
What is the smallest value in -0.03, -0.5, -4/5, 4/5, -1.4, -11, 150?
-11
Which is the second smallest value? (a) 1470 (b) 0.5 (c) -2.1011
b
What is the fourth biggest value in 2, -0.04, -2, -3.0317, 5?
-2
What is the fourth biggest value in -0.4, -1, 13, -0.17, -1/3, 0, 111?
-0.17
What is the fourth smallest value in -0.3, -1, 0.3, -4, 1/7, 1/35, -4/185?
-4/185
Which is the fifth biggest value? (a) 0 (b) -1143/5 (c) -0.08 (d) -0.07 (e) 2/15
b
Which is the second smallest value? (a) -2.7 (b) 0.1 (c) 1/4 (d) 3 (e) -2/25 (f) -0.1 (g) 6
f
Which is the third smallest value? (a) 68 (b) 7476 (c) -0.1 (d) -0.2
a
Which is the smallest value? (a) 336 (b) 277 (c) -414
c
Which is the third biggest value? (a) 2 (b) -5822 (c) -0.2 (d) -9
d
Which is the second biggest value? (a) -59 (b) 6 (c) -1.2 (d) 239
b
Which is the biggest value? (a) 6/91 (b) 0.0363 (c) -1.2
a
What is the second biggest value in 1/79, -0.1, 0.249, 9.6?
0.249
What is the second biggest value in 26, 0.07, 4/987?
0.07
Which is the seventh smallest value? (a) -0.1 (b) 0.3 (c) -8 (d) 17 (e) -1 (f) 4/9 (g) -11/4
d
What is the fifth biggest value in 1/14, -3.5, -2, -4.8, -312?
-312
Which is the smallest value? (a) -2 (b) -1/2 (c) 1/7 (d) 27991 (e) 1 (f) 1/4
a
What is the third biggest value in 1/3, -290, 116, 0.8?
1/3
What is the fifth biggest value in 3/2, -3, -0.5, 128199/4, 5?
-3
What is the second biggest value in 120, 3, -1/5, 1/2, -0.4, 85?
85
What is the fourth biggest value in 3/4, -1/9, 2/101, -17, -261?
-17
Which is the fourth biggest value? (a) 2/17 (b) 14410 (c) 3 (d) -3 (e) -0.2
e
What is the second smallest value in 61, -1/2, 310178, -3?
-1/2
Which is the biggest value? (a) 12 (b) 5 (c) -648909 (d) -1
a
Which is the biggest value? (a) -2 (b) -1/3 (c) -9.48311 (d) 2
d
Which is the fourth smallest value? (a) 1/3 (b) 0 (c) -3 (d) -2/30395
a
Which is the second smallest value? (a) -1476 (b) 5 (c) -17 (d) 17
c
Which is the third biggest value? (a) 2/9 (b) 29570 (c) -2 (d) -0.3672
d
What is the third smallest value in 49, 3, -5036, 18, 0.5?
3
What is the second smallest value in 0, 0.16, -3, 8/5, 2/5, 3/413?
0
What is the fourth smallest value in 274, -2/9, -963, -0.12?
274
Which is the biggest value? (a) 48 (b) -0.05 (c) -1 (d) 2 (e) 0.5 (f) 202
f
Which is the fourth biggest value? (a) 1/4 (b) -1185 (c) -1/6 (d) -39
b
Which is the fourth smallest value? (a) -0.39 (b) -4/143 (c) -4 (d) 22.7
d
What is the fifth biggest value in 2/13, -14/57, 0, 0.4, -56?
-56
What is the fourth smallest value in 1, -4/9, 3, -6, -0.3, -0.5, 30?
-0.3
Which is the second smallest value? (a) 29 (b) -5 (c) 5 (d) 15/4 (e) -116852
b
What is the third biggest value in 7, -3, -0.2, 0.06, -1.17, 125?
0.06
Which is the fourth biggest value? (a) 1/22 (b) 0.03 (c) 2 (d) -2/9 (e) -1 (f) 2.3 (g) -92
b
What is the second smallest value in -4, -0.3, 175681005?
-0.3
Which is the third biggest value? (a) 2/39 (b) 17.4 (c) 1/2 (d) -0.47 (e) -4 (f) -10
a
Which is the third biggest value? (a) 5 (b) 4 (c) 1 (d) -4 (e) 89 (f) -32331
b
Which is the smallest value? (a) -1/5 (b) 9 (c) -20.86088
c
What is the fourth smallest value in 0, 109, 1/4, 0.017, -2/7?
1/4
What is the second biggest value in 1, 0.3, -0.051713, -0.06, 2, -0.1?
1
What is the third smallest value in -88, 5, 0.04, 525.86?
5
What is the seventh biggest value in -0.3, -4/3, -72, -2/5, 7, 7/4, -8?
-72
What is the second smallest value in 425, -1/2, 3/7, 81, 0.9?
3/7
What is the fourth biggest value in 0.5, -3/218, 2, 1, -61, 4, -1/8?
0.5
What is the second smallest value in 2/7, -188, 1, 1/8?
1/8
Which is the second biggest value? (a) 2 (b) 250676 (c) -1 (d) -3
a
What is the biggest value in 1, -3/14, -12, -68, -5/2, -2/5?
1
Which is the fourth biggest value? (a) -29 (b) -1/3 (c) 5 (d) -4 (e) 0.17 (f) -0.11
b
What is the biggest value in -383/7, -1, 0.053089?
0.053089
Which is the second biggest value? (a) 233 (b) -0.7 (c) 450
a
What is the fourth smallest value in 9, -3/4, -4/25, -3/8, 0.12, -5?
-4/25
Which is the seventh biggest value? (a) -14 (b) -9/25 (c) -1/7 (d) 0.17 (e) -2 (f) -0.3 (g) 2/11
a
Which is the smallest value? (a) -5/21223 (b) 8/9 (c) 3/11
a
Which is the second biggest value? (a) 4/105 (b) 4 (c) 0.248 (d) -4/3
c
What is the second biggest value in 3/5, -9, -3, -0.2, 41/2, 5?
5
What is the fifth biggest value in 18/11, -0.4, 5, 3/2, 0.226, 0.3?
0.226
What is the fourth smallest value in 1/4906, 0.4, -4, 0.447?
0.447
Which is the fourth smallest value? (a) 2/2227 (b) 68 (c) -0.5 (d) 162
d
What is the second smallest value in -2/13, -2, -2/227, -1/6, -10.381?
-2
What is the second smallest value in 3/8, -0.1, 0.188, 9/2651?
9/2651
What is the second smallest value in 60, -2/11, -5, 0, 8.79, -3?
-3
What is the third biggest value in 5, -17.71, 134532?
-17.71
Which is the fifth biggest value? (a) 0 (b) 0.25 (c) -4/11 (d) 60/13 (e) 2 (f) 4 (g) -4
a
What is the fourth smallest value in 7, 21, -13, -4/5, -5, -114?
-4/5
What is the sixth smallest value in 5, 1, -2/7, 2, 1/8, 40/47, 23?
5
What is the third biggest value in 232, -0.4, -1796, 4/9?
-0.4
Which is the fourth biggest value? (a) -58333.5 (b) 1 (c) -46 (d) -4/7 (e) 1/3
c
What is the second smallest value in 8/75953, -4/7, -290?
-4/7
Which is the fourth smallest value? (a) -1 (b) -239 (c) 4/5 (d) -9 (e) -2 (f) 31
a
What is the fourth smallest value in -5/2, -5, 3.2984, 0.14?
3.2984
What is the seventh biggest value in 26/11, -1, -0.07, -4, -10.4, 2/5, -5?
-10.4
What is the third smallest value in -1/7, -0.0962, 10, -11/3?
-0.0962
Which is the biggest value? (a) 2/29 (b) -20 (c) 425.72
c
Which is the sixth smallest value? (a) -0.1 (b) 2 (c) -2/7 (d) -0.74 (e) 2/5 (f) 2/15 (g) 15
b
Which is the fifth biggest value? (a) -1/4 (b) 3 (c) -4 (d) 0.4 (e) 28.8 (f) -39 (g) 145/2
a
What is the smallest value in -0.2, 1215883, -58, 5, 2/5?
-58
Which is the smallest value? (a) 1/34 (b) 1 (c) -378 (d) -0.1 (e) -2/41
c
What is the biggest value in 1/4, 8071, 4/569?
8071
What is the seventh smallest value in 2, -0.328, 1/3, -1, -33, -5/4, -2?
2
Which is the fourth biggest value? (a) -0.1 (b) 5/19 (c) -8/1761 (d) -0.77
d
What is the fourth smallest value in 0.22, -0.07, 46.5, -0.1, -3/5, 3, 5?
0.22
What is the third biggest value in 3/22, 0.1, 3823.5, 3?
3/22
What is the second smallest value in -2, 0.5, -41, 71.1, -4, -10, 4?
-10
What is the fourth smallest value in 2/15, 1, 2/65, -0.3, 569?
1
Which is the biggest value? (a) -8 (b) 0 (c) 13.5912
c
Which is the biggest value? (a) 0 (b) 1/54 (c) 2/5075 (d) 7 (e) -5
d
Which is the fourth smallest value? (a) 1/3 (b) 0.3 (c) -3045 (d) 0 (e) -3/14
b
What is the third biggest value in -2/9, -6792.22, -3, 1/9, 0, 0.1?
0
Which is the fourth biggest value? (a) 5 (b) -4216 (c) 16/23 (d) -1 (e) -3 (f) 4 (g) -0.7
g
What is the biggest value in 6/29, 1.546, -0.117?
1.546
What is the smallest value in 63/8, 0.1, 7, -605, -0.4?
-605
What is the fourth smallest value in 5.52, -0.2, -13157, 1/4?
5.52
What is the third smallest value in -1125, -5/3, 1.2, 2/7?
2/7
What is the biggest value in 0.3, -0.5, 6, -84, 4, 111?
111
Which is the second biggest value? (a) -10/41 (b) -176.1 (c) -0.018
a
Which is the fourth biggest value? (a) -0.09 (b) 11 (c) 2 (d) -50 (e) -5/3 (f) -1/16 (g) 13
f
What is the thir
|
{
"pile_set_name": "DM Mathematics"
}
|
-2 (b) 1/2 (c) 2/3 (d) 127 (e) 5
b
Which is the second smallest value? (a) 0.5 (b) 2.5 (c) -1 (d) 2/7 (e) -0.0814
e
Which is the fourth biggest value? (a) -4 (b) -3.623 (c) -5 (d) 6
c
Which is the biggest value? (a) -2 (b) 24/43 (c) -2/9
b
Which is the third biggest value? (a) 16 (b) 46 (c) -0.03 (d) -1/5
c
What is the fourth smallest value in -2/3, 35/6, 3, -5, -0.3, 5?
3
What is the biggest value in -3/5, -1/11, -18/17?
-1/11
What is the third biggest value in 3/8, 4, 2/9, -1/5, 31539?
3/8
What is the third biggest value in -4, 26/9, 4, -313, 0.2?
0.2
Which is the fifth biggest value? (a) -1/5 (b) -2/13 (c) 136/9 (d) 4 (e) -1/6 (f) 3/4
e
What is the sixth smallest value in -2/7, 0.05, -0.21, -0.27, 5, 1?
5
What is the second biggest value in -68, -0.2, -0.5, -3/37, -1?
-0.2
Which is the second smallest value? (a) -4676.8 (b) -16 (c) -0.4 (d) -2/17 (e) 3/8 (f) -2
b
Which is the fourth biggest value? (a) 1 (b) 0.4 (c) -2/7 (d) 1163 (e) -5 (f) 487
b
Which is the third biggest value? (a) 1270 (b) 1 (c) 3 (d) -1/2 (e) -11 (f) 0
b
What is the second smallest value in -0.4, 9/7, -2/7, -2/35, -1?
-0.4
Which is the second biggest value? (a) 0.057 (b) 2 (c) -509/15
a
Which is the second smallest value? (a) -3/298 (b) 16 (c) -5 (d) 0.1 (e) 1/9
a
What is the second smallest value in -0.3, 1, -1.72, 3, 2/41?
-0.3
What is the third biggest value in -0.18, 23, 320?
-0.18
What is the sixth smallest value in 4, -3/5, 5, 2/13, -3, -3/31?
5
Which is the third biggest value? (a) 3/19 (b) 0.05 (c) -0.0423
c
What is the second biggest value in -2, -0.1, 3/5, 251, 1/8, 2?
2
What is the smallest value in -3, 2/9, -145, -13/2?
-145
What is the third biggest value in -1/7, -1.2, -56/169?
-1.2
What is the fourth smallest value in 2/29, 5/4, -1, 1/2, 7?
5/4
Which is the fourth biggest value? (a) -1 (b) -40 (c) -0.883 (d) -2/3
b
Which is the third biggest value? (a) 2/471 (b) -3/5 (c) 2/7
b
Which is the second biggest value? (a) -0.4 (b) 15 (c) 0.12
c
Which is the smallest value? (a) 0 (b) 160 (c) -3 (d) 11
c
Which is the fourth smallest value? (a) 0 (b) 2/7 (c) -1 (d) -2.48 (e) 0.1
e
Which is the fourth smallest value? (a) 5 (b) -0.1 (c) -4088 (d) 0.5 (e) 3
e
Which is the third smallest value? (a) 0.5 (b) 6/5 (c) -2/325 (d) 3/11 (e) 2/7
e
Which is the third smallest value? (a) -1 (b) 40 (c) 0 (d) 0.61
d
Which is the third biggest value? (a) -3 (b) -4/9 (c) 686
a
What is the fifth smallest value in 75, 0.5, 20, -14, 1/6?
75
What is the third smallest value in -1414, -1.1, -1/4, 2?
-1/4
Which is the second biggest value? (a) 3 (b) -20.4 (c) 2/5 (d) -7
c
Which is the third smallest value? (a) 1 (b) 12 (c) 0.4 (d) 223
b
Which is the second biggest value? (a) 0.5 (b) -0.4 (c) -1/4 (d) -11 (e) 52
a
Which is the sixth smallest value? (a) -166/5 (b) 1/2 (c) -0.3 (d) 10 (e) -4 (f) -0.2
d
Which is the third smallest value? (a) -3 (b) -68 (c) 0 (d) -2/193
d
What is the third biggest value in -10/6241, 0.4, -5?
-5
Which is the third biggest value? (a) 8 (b) 3 (c) 0.2 (d) -1/5 (e) 438 (f) -17
b
What is the third smallest value in 0.3, 0.4, 26, 160/31?
160/31
Which is the second smallest value? (a) 4 (b) -12.17 (c) -0.2 (d) -2/5
d
Which is the biggest value? (a) 1/7 (b) 2 (c) 6/23 (d) -0.7 (e) -5
b
Which is the third biggest value? (a) 258 (b) 0.2 (c) 1 (d) -1 (e) -1/27
b
What is the second biggest value in -3396, 4/3, 0.3, 1, 1/7?
1
Which is the fourth smallest value? (a) -178 (b) -2/13 (c) 2 (d) 2/27
c
Which is the third biggest value? (a) 1.5 (b) -4/27 (c) 1/7 (d) 7
c
What is the sixth biggest value in -2.6, 3/2, 2, 5, 3, -114?
-114
What is the biggest value in -3/40, 218, 0?
218
Which is the second smallest value? (a) -8 (b) 29 (c) 10 (d) -4 (e) -0.3 (f) -1
d
Which is the second biggest value? (a) -33 (b) -17 (c) -0.4 (d) -0.3
c
What is the fourth smallest value in -11.87, 2/9, -4/23, 2/3, -4?
2/9
Which is the fifth biggest value? (a) 210 (b) -4 (c) 0.2 (d) -3/2 (e) 22 (f) 5
d
What is the smallest value in 0.5, 2, 63449?
0.5
Which is the third smallest value? (a) -144 (b) -23 (c) 0.15 (d) 0.06
d
What is the third biggest value in 1/6, 2/17, -40/277, -7/4?
-40/277
What is the third smallest value in 15, 5852, -1.6?
5852
What is the biggest value in 0, 0.0771, 1?
1
What is the fifth biggest value in 0, 14, -2/21, 5, -0.1, 3?
-2/21
Which is the third biggest value? (a) 0 (b) 167 (c) 5 (d) 2/13
d
What is the third biggest value in -5, -622, -7?
-622
What is the fourth biggest value in 0.045, -0.1, 2/3, 12.3?
-0.1
What is the third smallest value in 2, -7/30, 4, 3?
3
Which is the smallest value? (a) 87 (b) 4 (c) 0.2 (d) 75
c
Which is the second biggest value? (a) 2/5 (b) 0.2 (c) -22 (d) -8 (e) -38
b
Which is the smallest value? (a) -0.4 (b) 73 (c) 11 (d) -1/7 (e) -2/7
a
Which is the fourth smallest value? (a) 2 (b) 0.4 (c) 1/5 (d) 2/9 (e) -2/101 (f) 4
b
What is the fifth smallest value in -4, -0.25, -6/5, 1.7, 1?
1.7
What is the fifth biggest value in -1/4, -17/5, 5, -4/3, 0.07?
-17/5
What is the second biggest value in 0.2, 2, 1176/5?
2
What is the smallest value in 0.1, -1, 0.4, 14, -452?
-452
Which is the fourth smallest value? (a) -1/6 (b) 355 (c) -0.4 (d) -16/21 (e) -0.3
a
Which is the fifth smallest value? (a) 5 (b) 24 (c) 1/4 (d) -7 (e) 74
e
What is the smallest value in 0.1, -106, 0.02, 1/6, 12/29?
-106
Which is the fourth smallest value? (a) 6 (b) 1/6 (c) -2/9 (d) 0.4
a
Which is the smallest value? (a) -0.16 (b) -0.5 (c) -9 (d) 5 (e) 3/5
c
Which is the second biggest value? (a) -0.089 (b) 4 (c) 2/77 (d) 43
b
What is the smallest value in 6, 0.1, -4/5, -44?
-44
What is the smallest value in -2/11, 0.033, 3.9?
-2/11
Which is the third biggest value? (a) -7 (b) 2/5 (c) 9854 (d) -0.2
d
Which is the biggest value? (a) -1 (b) -0.33 (c) 4 (d) 102 (e) 1.1
d
Which is the second biggest value? (a) 10.648 (b) -3 (c) -1
c
What is the biggest value in 1/9, 0.21628, 0, -4/13?
0.21628
What is the third smallest value in 3, -5, -201?
3
Which is the fifth smallest value? (a) -0.3 (b) -5 (c) -17 (d) -11 (e) -4
a
Which is the biggest value? (a) -0.3 (b) -0.4879 (c) -2/13
c
Which is the third biggest value? (a) -18.2 (b) 0 (c) -9/8
a
Which is the third smallest value? (a) 4503 (b) -3 (c) -1
a
Which is the biggest value? (a) -1/11 (b) 0 (c) -0.108 (d) -0.4 (e) -1/3
b
What is the smallest value in 4, 0.31, 2.61?
0.31
What is the third biggest value in 21, 321, -2, 2, 0?
2
Which is the third biggest value? (a) 0.5 (b) -3/26 (c) 2
b
What is the third biggest value in 5, -4, -94, -3/13?
-4
What is the fifth biggest value in -1/9, -2, -11, -2/25, -0.4?
-11
What is the sixth smallest value in -1/8, -0.3, 129, 27, 5, -0.1?
129
What is the smallest value in -1175, -2/9, 0.03?
-1175
Which is the second biggest value? (a) -118 (b) -0.2 (c) -289 (d) 2
b
What is the second smallest value in 2633, 0.3, 0.01?
0.3
What is the fifth biggest value in -4, -2/11, 20, -0.063, 3?
-4
What is the third smallest value in 3/64, -19.51, -0.2, -4/9?
-0.2
What is the fourth smallest value in -3.1, -1/4, -3, -124?
-1/4
Which is the second biggest value? (a) 1 (b) -1/5 (c) -0.5 (d) -2/13 (e) -106 (f) -2
d
What is the third smallest value in -2/3, -0.5, 4, 17.357?
4
What is the second smallest value in -0.4, 186, 8/3?
8/3
Which is the biggest value? (a) -34/5 (b) -1 (c) -0.071
c
What is the third smallest value in -2/19, -151, 2/7, -13?
-2/19
Which is the biggest value? (a) -1/11 (b) 2 (c) -2/33
b
What is the third smallest value in 14085, -1/3, -7?
14085
Which is the third biggest value? (a) -2/5 (b) 2 (c) -2/17 (d) -6 (e) 24 (f) 3
b
What is the third biggest value in 2/3, -42/11, 3, -2, 17?
2/3
Which is the biggest value? (a) 0.12 (b) -483 (c) -3/2 (d) 6/5 (e) -1/5
d
What is the smallest value in 2/9, 1.1, 2/31, 2/211?
2/211
Which is the third biggest value? (a) 361 (b) 2/9 (c) 3/7 (d) -6
b
What is the third biggest value in 1.56, -3/2, -3, -247?
-3
What is the fourth smallest value in 116, 0.2, 7, 0.4, 1?
7
Which is the fifth biggest value? (a) 0.
|
{
"pile_set_name": "DM Mathematics"
}
|
ort s, g, 4 in increasing order.
g, s, 4
Let t = 3.1 + -0.1. Let l = 15 + -16.8. Let a = l - 2.2. Put t, a, 0.1 in ascending order.
a, 0.1, t
Suppose -2 - 2 = a. Let m = 12 - a. Suppose -5*v + v = m. Sort 0, v, 5.
v, 0, 5
Let u(x) = 16*x + 84. Let r be u(-10). Sort 5, 0, 4, r in decreasing order.
5, 4, 0, r
Let b = -736 + 739. Put -2, b, 45, 0 in decreasing order.
45, b, 0, -2
Let n be (682/66)/((-4)/(-12)). Put -3, n, -1 in decreasing order.
n, -1, -3
Let u(b) = b**2 + 12*b + 28. Let w be u(-4). Let r be (-8)/(-12) + 16/(-6). Put w, 2, r in descending order.
2, r, w
Let a = 16.69 - 5.69. Sort a, -8, -1 in descending order.
a, -1, -8
Let c = -339 + 328. Put 5, c, 3 in descending order.
5, 3, c
Let z be 3/(-1)*(3 + -4). Suppose 14*c = 13*c - 6. Put z, c, 5 in increasing order.
c, z, 5
Let o = 920 + -920. Let s = -2.57 + -0.23. Let d = s + 0.8. Sort d, 0.7, o.
d, o, 0.7
Suppose 2*i + 10 = -4*x, 7 = -2*x - 5*i - 2. Let k = -0.13 + -4.87. Let n = -2 - k. Put n, -7, x in ascending order.
-7, x, n
Let m be (3 - (3 + 1))/(6/(-12)). Sort -0.22, m, 0.1, -3.
-3, -0.22, 0.1, m
Let r(g) = -16*g - 269. Let f be r(-14). Sort -5, f, -4, -2 in ascending order.
f, -5, -4, -2
Let r(x) = -x**3 - 5*x**2 - 5*x - 1. Let g be r(-4). Suppose v + 1 = -g. Let c(i) = -i**2 - 2*i - 3. Let m be c(-2). Sort 0, m, v in descending order.
0, m, v
Suppose 0 = -16*c + 20 + 12. Let i be 2/(-5) - 46/10. Suppose 17 = 4*u - 3. Put c, u, i in decreasing order.
u, c, i
Let u = -3.91 + 4. Let c = u - 1.09. Let n(q) = -q**2 + 3*q + 11. Let h be n(5). Put -1/4, c, h in ascending order.
c, -1/4, h
Let p(h) = -h**2 + h + 18. Let a be p(-5). Let b = -19 - a. Sort 5, -5, b.
b, -5, 5
Let r be (-6 - 0)*(-4)/(-6). Let b = -19 - -16. Let q be 3/((-60)/56) - b. Put q, r, -2/19 in descending order.
q, -2/19, r
Let l = -149.2 + 149.2. Let q = -0.04 + -3.96. Put q, -3, l in descending order.
l, -3, q
Suppose -4*r = u + 26, 4*u - r + 25 = 23. Suppose 0 = -3*c - 0*c + 84. Put u, c, -3 in decreasing order.
c, u, -3
Let r = 124 + -120. Put -4, r, -5, 2 in descending order.
r, 2, -4, -5
Let v = 15618/11 - 1420. Put 5/23, v, -2 in descending order.
5/23, v, -2
Let u(o) = -o**2 - 31*o + 404. Let w be u(-41). Put 5, 0, w, -2 in decreasing order.
5, 0, -2, w
Let y(k) = 6*k - 7. Let p(q) = 5*q - 8. Let n(w) = -5*p(w) + 4*y(w). Let a be n(8). Sort 2, a, 3 in descending order.
a, 3, 2
Let l = -18 - -20. Suppose -l*b = -16 - 12. Put 0, -2, -5, b in decreasing order.
b, 0, -2, -5
Let u be (-40)/(-36)*33/(-55). Sort 0.004, -3, u in decreasing order.
0.004, u, -3
Suppose -4*w + 2*r - 54 = -22, -3*w + 3*r - 24 = 0. Let z(i) = 5*i + 38. Let u be z(w). Sort -5, -14, 5, u in descending order.
5, u, -5, -14
Let y = -0.05 + 1.05. Let d = 0 - y. Let p = -2.21 + 0.21. Sort p, d, -1/4.
p, d, -1/4
Let j be -1 + 4/5 - (-224)/(-280). Sort j, -6, 2 in decreasing order.
2, j, -6
Let k(y) = -y**2 - 9*y - 15. Let h be k(-5). Let d = 1 + 2. Put d, h, -4 in decreasing order.
h, d, -4
Let i = -2.01 - 1.03. Let o = 0.04 + i. Put -2/75, 3, o in descending order.
3, -2/75, o
Suppose -t + 11 = 5*u, 5*u - t - t - 8 = 0. Sort -1/5, 5.5, 1/3, u.
-1/5, 1/3, u, 5.5
Let d = 472 + -471.946. Put 2, 3, d in increasing order.
d, 2, 3
Let i be (7/(-147))/(8/(-28)). Let t = -17 - -5. Sort i, -1, t.
t, -1, i
Let z(t) = t**3 + 5*t**2 + t + 10. Let m be 3 - 2/(-3)*-12. Let o be z(m). Sort o, -4, 3 in descending order.
o, 3, -4
Let s(a) = a**2 + 3*a + 1. Let v be s(-3). Let w be (((-4)/24)/((-3)/(-8)))/((-2)/36). Put w, 5, 2, v in decreasing order.
w, 5, 2, v
Let z = -70 + 2. Put -0.2, 5, z in ascending order.
z, -0.2, 5
Suppose 2*k + 11 - 7 = 0. Put -6, k, 4 in ascending order.
-6, k, 4
Let c = 4.56 + -0.66. Let h = -3.4 + c. Let a = -13 + 9. Put h, a, -2/7 in increasing order.
a, -2/7, h
Let g be 81 - (-12)/18*(-3)/2. Let d = g + -402/5. Let i = -0.5 - -2.5. Sort d, i, 2/7 in descending order.
i, 2/7, d
Suppose 11 = 4*c - 3*a - 0*a, -a = 3*c + 8. Suppose 5*m - 7 = -22. Let k(l) = 6*l + 66. Let w be k(-8). Sort m, c, w in decreasing order.
w, c, m
Let o = -294.3 - -294. Put 4/3, -5, -0.2, o in descending order.
4/3, -0.2, o, -5
Let x = -55765 + 501253/9. Let i = -70 - x. Let d = 0 + -1. Sort d, 4, i.
d, i, 4
Suppose -193*o + 202*o + 18 = 0. Let q(a) = -a - 1. Let f be q(0). Let p(d) = 4*d**3 - d**2 + d + 1. Let s be p(-1). Sort s, o, f in ascending order.
s, o, f
Let i = -396 - -393. Sort i, 0.4, -4 in descending order.
0.4, i, -4
Let s = 3.22 + -2.82. Let c = 2.7 + -3. Let g = c - -0.5. Sort g, s, 5.
g, s, 5
Suppose 7*m - 2*m - 375 = 0. Let l = -374/5 + m. Sort -0.4, -2/11, l.
-0.4, -2/11, l
Let v = 57 + -33. Let g = v - 20. Let j = -0.1 - -0.1. Sort g, j, -0.4 in decreasing order.
g, j, -0.4
Let g = 0.58 + -0.65. Sort -3, -2/5, g, -1.1.
-3, -1.1, -2/5, g
Let i = 0.1 - 5.1. Let a = -291 + 294. Put -3, a, -4, i in descending order.
a, -3, -4, i
Let n = 90 - 81.2. Let o = -9 + n. Let c = -0.11 - 4.89. Sort 3, c, o in increasing order.
c, o, 3
Let x(s) = -6*s**2 - 73*s - 13. Let p be x(-12). Let w = -146/3 + 48. Put p, 28, w in decreasing order.
28, w, p
Let y = 37.71 - 47. Let h = y + 0.29. Let d = -9 - -5. Sort h, d, -0.4.
h, d, -0.4
Let d = -237 + 238. Sort d, 5, -1/3, 0.2.
-1/3, 0.2, d, 5
Suppose 4*h - 8*p + 28 = -10*p, 4*p = -16. Put -6, h, 2/7, 3 in increasing order.
-6, h, 2/7, 3
Suppose 0 = 5*c - 15, -5*g = -c - 2*c - 171. Let x = g + -18. Let k be (-3)/(-2) + x/(-4). Put 4, -2, k in decreasing order.
4, -2, k
Let v = 573 + -578. Sort -3.8, -0.4, 1, v in decreasing order.
1, -0.4, -3.8, v
Let b = -4 + 7. Suppose o + 1 = g, -2 = g + o + o. Sort -0.03, b, g in ascending order.
-0.03, g, b
Suppose 13*i - 2 = 3*k + 8*i, 5*k + 2*i + 24 = 0. Sort 0, 1, k, -145 in descending order.
1, 0, k, -145
Let a = 0.497 + 2.503. Put 2/9, a, -22, -3/7 in descending order.
a, 2/9, -3/7, -22
Suppose 0*l - 75 = 15*l. Suppose 0 = -4*f - 3*o + o + 22, 2*f + 2*o = 16. Suppose 5*y + 32 - 11 = -4*c, 3*y = -3*c - 12. Put f, c, l in ascending order.
l, c, f
Let r be 0/((-4)/(13 - 12)). Suppose 3*g - 2*i - 5 = 0, -i = -g - 4*i + 9. Put r, 5, g in decreasing order.
5, g, r
Suppose k + 0 - 13 = -2*y, 5*k = 15. Suppose y = p - 0*p. Suppose -i + p = -2*i. Sort 4, 0, i in decreasing order.
4, 0, i
Let f(u) = -9*u + 1. Let p be f(-1). Suppose -5*d = 5*j - p*j, j - 18 = -5*d. Suppose 3*b - b = -8. Sort j, b, 1.
b, 1, j
Let b(z) = -z**2 + 3*z + 1. Let u be b(3). Let c = 16 + -21. Let s(r) = 2*r**2 + 29*r + 81. Let h be s(-11). Put c, h, u in descending order.
h, u, c
Suppose 0 = 6*w - 21*w + 15. Sort -1, w, 0.9 in increasing order.
-1, 0.9, w
Suppose 2*m + g = -5, 4*m = 2*g - 3*g - 11. Put 20, -6, m, -5 in ascending order.
-6, -5, m, 20
Let i be (-8 + (-200)/(-24))*-15 - -4. Let r = -1 + 3. Let h be (4/(-6))/(r/(-6)). Put 1, i, h in ascending order.
i, 1, h
Let v be ((102/60)/(-17))/(3/24). Sort v, -5/4, 3, -0.16.
-5/4, v, -0.16, 3
Let n be (-6)/30*5/(-8). Let d = -0.597 - -0.557. Sort n, 1/9, d, 4 in descending order.
4, n, 1/9, d
Suppose -5*t + 3 = -7. Suppose -2*l - 2*o + 40 = t*o, -5*l - 4*o = -70. Let a be (-5)/(-25) - 12/l. Sort 2, a, 3.
a, 2, 3
Let j be (-2)/(-3) + 10/3. Let q be ((-4)/6 - (-171)/135)*10. Suppose 2*k = q + 4. Sort k, j, 3 in descending order.
k, j, 3
Let b = 3.4 + 0.6. Let o = -0.268 - -0.635. Let w = -0.033 - o. Put 6, b, w in increasing order.
w, b, 6
Let q = -4615 - -4610. Suppose 2*u = 4*i, -4*u = -0*u - 2*i + 6. Sort 5, u, q, 0 in descending order.
5, 0, u, q
Let k = -993 + 997. Sort -78, k, -4 in ascending order.
-78, -4, k
Let i = 1736 - 1736. Put 5, 8, i, 3 in decreasing order.
8, 5, 3, i
Let r(s) = s + 2. Let v be r(-4). Suppose 6*z + 24 = 9*z. Suppose -6 = 4*b + 14. Put v, b, z in increasing order.
b, v, z
Let t be 1 + 0 - (-5)/(-4). Let m = 15 + -3. Let p = -11.6 + m. Put -5, p, t in descending order.
p, t, -5
Let j = 24 + -23.1. Let c = j - 0.9. Put -1, c, 3 in increasing order.
-1, c, 3
Suppose 0 = -2*k - 0*k, 0 = -2*d + 3*k - 8. Let l = -0.3 - -1.3. Put d, l, 1/4 in descending order.
l, 1/4, d
Let u be ((-2)/(-1))/(5/50). Let d be 5/u + 17/(-4). Sort -3, d, 4 in increasing order.
d, -3, 4
Let b be ((-65)/(-10) + -7)*10/(-1). Sort b, 0, 83 in ascending order.
0, b, 83
Let i = 0.6 - 0.9. Let g be 10/(-25) + 39/60. Put i, g, 0.3 in descending
|
{
"pile_set_name": "DM Mathematics"
}
|
g(n) - 3*u(n).
-3*n**2
Let u(o) = o**3 - 11*o**2 + 8*o - 93. Let z be u(11). Let c(f) = -f**2 - f - 1. Let v(g) = -2*g**3 - 5*g**2 + 2*g - 5. Calculate z*c(t) + v(t).
-2*t**3 + 7*t
Let g(x) = 2*x + x**2 + 10*x + 4*x + 12*x**3 - 18*x - 2. Let r(f) = -f**2 + f + 1. What is -g(n) - 2*r(n)?
-12*n**3 + n**2
Let k(v) = -4*v + 1. Let h(f) = -3*f. Let o = 5512 + -5515. Determine o*k(d) + 3*h(d).
3*d - 3
Let j(m) = 2*m + 9. Let b(a) = 2*a + 9. Let f = -407 + 403. Let x(c) = 3*c**3 + 15*c**2 + 13*c - 2. Let w be x(f). Give w*b(g) + 5*j(g).
-2*g - 9
Let p(h) = -13*h + 4055. Let y(s) = -16*s + 4061. Give 5*p(t) - 4*y(t).
-t + 4031
Let t(q) = 98*q**3 - 45*q**2 + 8*q - 16. Let d(h) = 34*h**3 - 15*h**2 + 3*h - 6. Determine 8*d(g) - 3*t(g).
-22*g**3 + 15*g**2
Let l(t) be the second derivative of -3*t**5/2 - 4*t**3/3 - 17*t. Suppose -16*x + 2558 = 2686. Let g(b) = -10*b**3 - 3*b. What is x*g(y) + 3*l(y)?
-10*y**3
Let j(i) = 50*i**3 + 191*i**2 - 5*i - 29. Let n(l) = 31*l**3 + 127*l**2 - 3*l - 19. Determine 5*j(s) - 8*n(s).
2*s**3 - 61*s**2 - s + 7
Let w(r) = -39*r - 13. Let d(m) = 154*m + 53. Calculate -2*d(h) - 9*w(h).
43*h + 11
Let l = 144 - 84. Suppose l - 10 = 5*t. Let x(o) = -9*o - 6*o**2 - 1 + 9*o**3 + 2*o + t + 15*o**2. Let q(r) = -8*r**3 - 8*r**2 + 6*r - 8. Give -7*q(m) - 6*x(m).
2*m**3 + 2*m**2 + 2
Let m(k) = -3*k**2 + 4*k - 4. Let l = -12 - -12. Let u = l - -4. Let t(g) be the first derivative of 4*g**3/3 - 5*g**2/2 + 5*g - 42. What is u*t(j) + 5*m(j)?
j**2
Let o(v) = -50*v**3 + 55*v + 14. Let d(l) = -50*l**3 + 53*l + 12. Determine 7*d(c) - 6*o(c).
-50*c**3 + 41*c
Let i(x) = x**2 - 3*x + 2. Let f(b) = b**3 + 14*b**2 - 28*b + 61. Let o be f(-16). Let y(r) = 2*r**2 - 4*r + 1. What is o*i(z) + 2*y(z)?
z**2 + z - 4
Let z(b) = -b**3 - b. Let t(l) = 4*l**3 + 3*l**2 + 6*l. Suppose 0 = 38*i - 56*i - 18. What is i*t(f) - 2*z(f)?
-2*f**3 - 3*f**2 - 4*f
Let v(x) = 5*x**3 - 8*x**2 + 32*x + 725. Let n(l) = 3*l**3 - 5*l**2 + 20*l + 483. What is -8*n(b) + 5*v(b)?
b**3 - 239
Let l(t) = 27*t + 6. Let z(y) = y**3 + 38*y**2 + 43*y + 228. Let m be z(-37). Let d(o) = -o + 1. What is m*d(j) - l(j)?
-33*j
Let f(g) = 109*g**2 - 35*g - 17. Let v(h) = 36*h**2 - 11*h - 5. Calculate -2*f(x) + 7*v(x).
34*x**2 - 7*x - 1
Let q(f) = -5*f - 7. Suppose -87*y - 41*y + 128 = 0. Let m(a) = a + 1. Calculate y*q(k) + 4*m(k).
-k - 3
Let c(l) = -2*l**3 + 2*l**2. Let d be 48 - 54 - (1 + -11). Let m(i) = 2*i**3 - 3*i**2. What is d*c(o) + 5*m(o)?
2*o**3 - 7*o**2
Let b(d) = 3*d - 32. Let m(v) = -2*v + 23. Let i(c) = 5*b(c) + 7*m(c). Let n(k) = 7*k + 1 - 3*k + 2*k + 0*k. Let g be 6/3 - (9 + -3). Calculate g*i(q) + n(q).
2*q - 3
Let p(k) = 6*k**2 + 36*k - 13. Let w be p(-6). Let u(a) = -8*a**3 + 39*a**2 + 6. Let i(h) = -17*h**3 + 79*h**2 + 13. Give w*u(d) + 6*i(d).
2*d**3 - 33*d**2
Let a(g) = -1. Let n(j) = -5*j**2 + 45. Suppose 16*d = 14*d + 854. Let l = d + -337. Calculate l*a(i) + 2*n(i).
-10*i**2
Let o(d) = -d**3 - d**2 + 1. Let r(c) = -52 + 97 + 6*c**2 + 375*c**3 - 48 - 368*c**3. Let t be 4/(-6) - (-2)/(-6). Determine t*r(p) - 5*o(p).
-2*p**3 - p**2 - 2
Let r(s) = -s**3 - 6*s**2. Let t(m) = -15*m**3 + 19*m**2 - 13*m. Let k(q) = -28*q**3 + 32*q**2 - 24*q. Let b(j) = 6*k(j) - 11*t(j). Calculate -6*b(f) + 17*r(f).
f**3 + 6*f
Let v be (12/(-15) - 2) + -17 + 1596/95. Let u(g) = 190*g**2. Let c(d) = 7*d**2. Calculate v*u(k) + 80*c(k).
-10*k**2
Let a(d) = 54*d**2 + 77*d + 84. Let j(y) = -11*y**2 - 14*y - 17. Calculate 4*a(o) + 22*j(o).
-26*o**2 - 38
Let s(l) = 11*l**2 + 6*l + 62. Let v(r) = -42*r**2 - 24*r - 228. Determine -11*s(x) - 3*v(x).
5*x**2 + 6*x + 2
Let k(x) = -32*x + 20. Let i = 11475 - 11455. Let s(a) = -a + 1. Determine i*s(w) - k(w).
12*w
Let u(l) = 8*l**2 - 9*l + 5. Let y(q) = 18*q**2 - 15*q + 10. Determine 5*u(h) - 2*y(h).
4*h**2 - 15*h + 5
Let v(x) = -163*x**2 + 4*x - 8. Let b(k) = 162*k**2 - 5*k + 12. What is -4*b(l) - 5*v(l)?
167*l**2 - 8
Let r(d) = -11003*d**3 - 19*d**2 - 38*d + 19. Let h(t) = 3668*t**3 + 6*t**2 + 12*t - 6. Determine -19*h(g) - 6*r(g).
-3674*g**3
Let m(y) = -3*y**3 - 2*y**2 - 2485*y - 12. Let f(t) = -3*t**3 - 2*t**2 - 2485*t - 8. Give -3*f(s) + 2*m(s).
3*s**3 + 2*s**2 + 2485*s
Let m(g) = -15*g**3 - 176*g**2 - 9*g. Let a(k) = -2*k**3 - 2*k**2 - 2*k. Determine 5*a(s) - m(s).
5*s**3 + 166*s**2 - s
Let m(k) = 8*k + 57. Let w(p) = p**2 - 25*p - 176. Calculate -7*m(r) - 2*w(r).
-2*r**2 - 6*r - 47
Suppose 9*k + 54 + 261 = 0. Let z(m) = 7 - 1 - 1064*m + 1051*m. Let b(y) = -77*y + 35. Give k*z(r) + 6*b(r).
-7*r
Let h(s) = s**2 - 102*s - 102. Let u be h(-1). Let k(y) = -y - 1. Let v(c) = -2*c**2 + 4*c + 5. Calculate u*v(d) + 4*k(d).
-2*d**2 + 1
Let z be ((-132)/24 - -7)*((-20)/12 - -1). Let h(b) be the third derivative of -b**6/40 - 7*b**5/60 + b**2. Let g(k) = k**3 + k**2. Give z*h(v) - 4*g(v).
-v**3 + 3*v**2
Let d be -1*4/3*297/(-132). Let o(m) = -10*m - 2. Let t(z) = 9*z + 2. Determine d*t(w) + 2*o(w).
7*w + 2
Let w(k) = -6*k**2 - 5*k. Suppose -4*b = 12, -2140 = -3*p + 2*b - 2152. Let r(t) = 3*t + 0*t + 7*t**2 + 3*t. Determine p*w(o) - 5*r(o).
o**2
Let u(i) = -17*i**2 + 15*i - 44. Let c(p) = 2*p**2 - 4*p - 1. Determine -3*c(l) - u(l).
11*l**2 - 3*l + 47
Let y(s) = 5*s**3 - 5*s**2 + s. Let r(w) = -174*w**2 - w**3 - 4*w + 5*w + 5*w**3 + 170*w**2 + 0*w. Determine 4*r(k) - 3*y(k).
k**3 - k**2 + k
Let i(a) = -2256*a**2 - 470*a - 1410. Let f(x) = x**2 - x - 3. Give 470*f(y) - i(y).
2726*y**2
Let b(p) = -3 - 340*p + 1027*p - 354*p - 338*p. Let a(g) = 2*g + 1. What is 7*a(o) + 2*b(o)?
4*o + 1
Let i = 6 + -4. Let j(d) = -5*d**2 + 19*d + 1. Let s(v) = -2*v**2 + 6*v + 1. Let a(r) = -j(r) + 3*s(r). Let n(u) = -u**2 + u + 1. Calculate i*n(b) - a(b).
-b**2 + 3*b
Suppose 3*n + 2 - 40 = -32. Let i(y) = -6*y + 1. Let d(a) = -17*a + 1. Let g(q) = -8*q. Let h(t) = -3*d(t) + 5*g(t). What is n*h(f) + 5*i(f)?
-8*f - 1
Let c(p) = -3*p + 3. Let z(w) = 16*w + 118. Let m be z(-6). Let j(u) = u**3 - 22*u**2 + 4*u - 89. Let h be j(m). Let v(k) = -1. What is h*c(x) - 3*v(x)?
3*x
Let z(c) = c**2 + c + 1. Let o(w) = -3*w**3 - 8*w**2 + 5*w. What is -o(t) + 5*z(t)?
3*t**3 + 13*t**2 + 5
Let c be 2/(-2 - -4) - -2. Let u be (-10*64/160)/1. Let b(j) = j**2. Let x(o) = 2*o**2 - o. Calculate c*x(w) + u*b(w).
2*w**2 - 3*w
Let f(s) = 32*s + 15. Let j(g) = -39*g - 16. Let o(i) = -5*f(i) - 4*j(i). Let r(h) = 5*h + 11. Give -4*o(l) - 3*r(l).
l + 11
Let d(p) = p + 1. Let t be ((-2)/3)/((-3)/27). Let l(v) = -v - 4. Let h(m) = -m - 5. Let s(k) = -3*h(k) + 4*l(k). Calculate t*d(n) + 7*s(n).
-n - 1
Let a(v) be the first derivative of -v**4/4 - v + 1. Let w(p) = p**3 + 6*p**3 + 8 - 3. Let k be (2/4)/(-8*3/(-480)). What is k*a(d) + 2*w(d)?
4*d**3
Let t(l) = -1924*l - 72. Let q(u) = 679*u + 24. Calculate -17*q(z) - 6*t(z).
z + 24
Suppose 55*v + 8 = 8*v + 55. Let t(u) = -u**3 + u**2 - u - 1. Let z(h) = -h**2 - 9. What is v*t(r) + z(r)?
-r**3 - r - 10
Let p(b) = 7*b**2 - 6*b + 2765. Let q(k) = -13*k**2 + 11*k - 5525. Give -11*p(h) - 6*q(h).
h**2 + 2735
Let t(g) = 247*g**2 + 9*g + 5. Let x(l) = -124*l**2 - 4*l - 2. Determine 2*t(f) + 5*x(f).
-126*f**2 - 2*f
Let a(g) = 108*g**2 - 43*g - 7. Let q(l) = 16*l**2 - 6*l - 1. Give -4*a(v) + 30*q(v).
48*v**2 - 8*v - 2
Let b = 481 + -483. Let w(i) = 92 - 31 - 29 - 33. Let r(u) = -3*u - 1. Calculate b*w(n) + r(n).
-3*n + 1
Let m(s) = -s - 2. Suppose -378*o + 86*o = -30 + 614. Let p(v) = -v. Determine o*p(b) + m(b).
b - 2
Let s = 10488 - 10483. Let c(k) = 9*k**2 + 3*k + 2. Let t(r) = -8*r**2 - 2*r - 2. Give s*t(w) + 4*c(w).
-4*w**2 + 2*w - 2
Let b(n) = -3*n**3 + 22*n + 307. Let v(i) = -3*i**3 - i**2 + 33*i + 307. Calculate -3*b(m) + 2*v(m).
3*m**3 - 2*m**2 - 307
Let r(y) = -16*y**2 + 280*y + 24. Let l(c) = 3*c**2 - 56*c - 4. What is 11*l(p) + 2*r(p)?
p**2 - 56*p + 4
Let z(g) = 15*g**3 - 9*g**2 - 7*g + 463. Let t(l) = -44*l**3 + 26*l**2 + 20*l - 1311. Determine 6*t(f) + 17*z(f).
-9*f**3 + 3*f**2 + f + 5
Suppose -80987 = 14*j - 81267. Let p(i) = -5*i. Let t(s) = 22*s - 1. Calculate j*p(h) + 5*t(h).
10*h - 5
Let z(u) = -u**3 + 2*u**2 - 5*u + 4. Let n be 1*(-2)/8 - (0 - (-56)/32). Let o(i) = i**2 - i. What is n*o(y) + z(y)?
-y**3 - 3*y + 4
Suppose 167*h - 202*h + 35 = 0. Let c(j) = j**3 - 1. Let i(q) = -q**3 - 8. Determine h*i(o) + 2*c(o).
o**3 - 10
Let w(h) = -h**3 + 11*h**2 - 21*h -
|
{
"pile_set_name": "DM Mathematics"
}
|
re in 3/5 of a millimeter?
600
What is fifty-four fifths of a centimeter in millimeters?
108
What is eighty-five sixths of a year in months?
170
What is 21/5 of a meter in centimeters?
420
How many millilitres are there in one tenth of a litre?
100
Convert 0.5644306l to millilitres.
564.4306
What is 7/8 of a millennium in years?
875
How many minutes are there in thirteen fifths of a day?
3744
Convert 1.7726391 microseconds to days.
0.00000000002051665625
How many millilitres are there in 13/4 of a litre?
3250
Convert 0.3746673l to millilitres.
374.6673
Convert 659.194 years to centuries.
6.59194
What is 4/3 of a millennium in months?
16000
How many microseconds are there in 4.528702ms?
4528.702
What is 66.72317l in millilitres?
66723.17
What is 2.646633 decades in years?
26.46633
What is 884851.5us in nanoseconds?
884851500
How many litres are there in 66683.4ml?
66.6834
What is 33/5 of a millennium in decades?
660
How many micrograms are there in 3/25 of a milligram?
120
What is 17/4 of a centimeter in micrometers?
42500
How many seconds are there in 5/4 of a hour?
4500
What is 3/8 of a milligram in micrograms?
375
What is 12/25 of a litre in millilitres?
480
Convert 684.8481 nanometers to kilometers.
0.0000000006848481
How many millennia are there in 8.29894 centuries?
0.829894
How many millilitres are there in five quarters of a litre?
1250
Convert 8457.038 decades to millennia.
84.57038
How many millilitres are there in 1.362515 litres?
1362.515
What is 8234.176 decades in months?
988101.12
How many minutes are there in one twentieth of a week?
504
What is 57/5 of a decade in years?
114
Convert 0.4159949 millennia to years.
415.9949
How many months are there in fifteen quarters of a millennium?
45000
How many hours are there in 55/3 of a week?
3080
What is twenty-one fifths of a millennium in years?
4200
Convert 564.3808 kilometers to nanometers.
564380800000000
What is 265.1487 milliseconds in microseconds?
265148.7
What is 221929.38 months in decades?
1849.4115
Convert 813.3065nm to micrometers.
0.8133065
Convert 4.009961 millilitres to litres.
0.004009961
What is 9467.028 months in decades?
78.8919
What is 2220.834 minutes in nanoseconds?
133250040000000
How many micrometers are there in 3/50 of a centimeter?
600
What is seventeen halves of a litre in millilitres?
8500
What is fifty-seven fifths of a litre in millilitres?
11400
Convert 137781.33 months to decades.
1148.17775
Convert 6965.305kg to tonnes.
6.965305
What is sixty-four fifths of a microgram in nanograms?
12800
How many litres are there in 2019.652ml?
2.019652
What is 476.31t in micrograms?
476310000000000
What is 58.98965 centuries in millennia?
5.898965
What is 25/2 of a century in decades?
125
What is 931207.4ml in litres?
931.2074
What is 1.370097 microseconds in seconds?
0.000001370097
How many millilitres are there in three eighths of a litre?
375
Convert 982.8327 centuries to millennia.
98.28327
How many nanograms are there in eighty-eight fifths of a microgram?
17600
What is 13/8 of a litre in millilitres?
1625
What is 3/50 of a tonne in grams?
60000
Convert 82.2419ml to litres.
0.0822419
How many kilometers are there in 2494.525 meters?
2.494525
What is twenty-one quarters of a millennium in decades?
525
Convert 95157.07nm to centimeters.
0.009515707
Convert 84140.28nm to kilometers.
0.00000008414028
How many centuries are there in one fifth of a millennium?
2
What is eleven eighths of a kilogram in grams?
1375
What is 92.86095 kilometers in nanometers?
92860950000000
What is 3/10 of a centimeter in millimeters?
3
How many minutes are there in 17/4 of a week?
42840
How many years are there in twenty-seven halves of a millennium?
13500
What is 6/25 of a kilometer in meters?
240
What is six fifths of a centimeter in micrometers?
12000
How many millilitres are there in 0.313969l?
313.969
How many millilitres are there in 5/4 of a litre?
1250
Convert 199675.4t to kilograms.
199675400
How many microseconds are there in 2829.285 seconds?
2829285000
How many years are there in 13/4 of a millennium?
3250
What is 51/4 of a milligram in micrograms?
12750
What is 9.391097 nanograms in milligrams?
0.000009391097
Convert 9.262673 millilitres to litres.
0.009262673
What is 551387.1 meters in nanometers?
551387100000000
What is 817029.8 minutes in seconds?
49021788
What is 11/2 of a kilogram in grams?
5500
How many nanograms are there in 7/4 of a microgram?
1750
How many millilitres are there in 21/4 of a litre?
5250
How many minutes are there in 13/9 of a day?
2080
What is 1/20 of a meter in centimeters?
5
How many millilitres are there in fifty-five halves of a litre?
27500
How many litres are there in 0.5522344 millilitres?
0.0005522344
What is fifty-two fifths of a litre in millilitres?
10400
How many years are there in 0.0218444 millennia?
21.8444
How many milliseconds are there in 3918.467 weeks?
2369888841600
How many months are there in twenty-one halves of a century?
12600
What is five quarters of a milligram in micrograms?
1250
How many milligrams are there in sixty-seven fifths of a gram?
13400
Convert 0.614033s to milliseconds.
614.033
How many hours are there in 3.6345303ms?
0.00000100959175
What is 1/6 of a century in months?
200
What is 1/4 of a day in seconds?
21600
How many micrometers are there in 393462.2nm?
393.4622
Convert 8106.75 tonnes to kilograms.
8106750
Convert 64.795332 hours to weeks.
0.3856865
Convert 2780.04ms to nanoseconds.
2780040000
What is 736166.5 kilograms in micrograms?
736166500000000
Convert 94886.81 millimeters to nanometers.
94886810000
What is 3/8 of a millennium in years?
375
Convert 1.3138299 hours to days.
0.0547429125
How many centimeters are there in 1/16 of a kilometer?
6250
How many millilitres are there in one fifth of a litre?
200
What is 0.005605 litres in millilitres?
5.605
How many seconds are there in 3/25 of a day?
10368
How many kilograms are there in 78.54962 nanograms?
0.00000000007854962
What is 5/8 of a kilometer in centimeters?
62500
What is 0.6794613mm in meters?
0.0006794613
Convert 707.9563 days to microseconds.
61167424320000
What is 6/5 of a litre in millilitres?
1200
What is 629386.6ml in litres?
629.3866
Convert 3.442064 millilitres to litres.
0.003442064
What is 1443.677 micrograms in milligrams?
1.443677
What is 3624.412 millennia in years?
3624412
What is 7/8 of a millisecond in microseconds?
875
How many millilitres are there in one fifth of a litre?
200
How many millilitres are there in one twentieth of a litre?
50
How many kilometers are there in 7259.97m?
7.25997
What is fifteen quarters of a tonne in kilograms?
3750
What is 9936.103 weeks in milliseconds?
6009355094400
What is five quarters of a day in hours?
30
How many centuries are there in 821482.7 decades?
82148.27
What is 47/4 of a micrometer in nanometers?
11750
What is 3/40 of a millennium in years?
75
What is 7405.249l in millilitres?
7405249
How many decades are there in 0.5808444 months?
0.00484037
What is 403.6898 weeks in hours?
67819.8864
What is seven quarters of a litre in millilitres?
1750
What is 21/4 of a tonne in kilograms?
5250
How many millilitres are there in three tenths of a litre?
300
How many millilitres are there in 3/8 of a litre?
375
What is 0.446225nm in centimeters?
0.0000000446225
Convert 1.847615 litres to millilitres.
1847.615
How many seconds are there in 3/10 of a minute?
18
What is 3/8 of a decade in months?
45
Convert 274.50117 seconds to minutes.
4.5750195
How many milliseconds are there in 545800.3 hours?
1964881080000
How many seconds are there in 3/10 of a day?
25920
How many nanograms are there in fifty-one fifths of a microgram?
10200
Convert 0.4261218km to millimeters.
426121.8
What is 21/4 of a millennium in months?
63000
Convert 6.05523 micrometers to meters.
0.00000605523
What is twenty-one fifths of a decade in months?
504
How many nanoseconds are there in 56984.37ms?
56984370000
How many years are there in seven quarters of a century?
175
How many microseconds are there in 18.82766 minutes?
1129659600
What is 304.969t in kilograms?
304969
What is 768.14 tonnes in kilograms?
768140
What is 1/64 of a millimeter in nanometers?
15625
What is three eighths of a decade in months?
45
What is five quarters
|
{
"pile_set_name": "DM Mathematics"
}
|
- -117)*((-15)/55 + 518/(-6006))?
14/3
(10 - 4) + (45/(-35))/((-9)/42) - -29
41
Calculate 2/(-148)*-74 + (-3 - (-19)/12).
-5/12
(-10)/(-16)*((-1144)/(-165))/(-52) - 49/(-12)
4
What is 1*(2/10)/(-1)*14020/(-22432)?
1/8
70/12*660/2200 - ((-1532)/(-272) - 4)
2/17
Evaluate (-792)/32*(-856)/42372.
1/2
What is -27*60/18*-3*(-18)/(-118 - -10)?
45
What is -52 + (-34780)/(-658) - ((-34)/(-7) + 2)?
-6
What is the value of (49572/567 - (-40)/(-28)) + 13/(-1)?
73
Calculate 13828232/277288 - ((-36)/(-69))/(-4).
50
(-10*21554/7020 - -30)*-6
38/9
Calculate (-3582)/(-79401)*14/(-6).
-2/19
142/23 - 36/22*5313/1449
4/23
What is the value of 18*((-6)/9 - (-240)/540)?
-4
Calculate (-8)/(-40) + ((-19)/(-7980)*14)/(12/(-152)).
-2/9
What is (-285 - -166) + (-3105)/(-30)?
-31/2
What is 10*(-18)/(-108)*(-42)/(-5) + -56?
-42
What is (-5 + (-1669)/(-335))*5535/(-2214)?
3/67
What is -5 + (5958/(-48))/((-3)/(-1)) - 156/(-416)?
-46
Evaluate (0 + (-16)/84)/((888/(-684))/(-37)).
-38/7
What is (3549/(-14196))/((-1)/(-128))?
-32
Evaluate ((-208)/(-12) - (-1)/6) + 17*(-7)/(-238).
18
What is the value of 46/69 - (90953/(-1311) + (-12)/(-276))?
70
What is the value of 6184 + -6171 - (-2 + 73)?
-58
What is the value of 435/(-70) - (990/(-2145))/(1/13)?
-3/14
What is the value of (18 + (-5490)/162 + 16)*36/332?
1/83
What is the value of (-1)/(-198)*((-4017)/(-1030) - (-6)/60)?
2/99
What is ((30/20)/(18/3))/(5859/1134)?
3/62
What is the value of ((-88)/5 - -18) + (-3 - 3*236/(-180))?
4/3
(((-5)/(-35))/((-4)/(-42)))/(15 - 10116/672)
-28
Calculate ((-12)/3)/(63756/(-1587) + 40).
23
Evaluate 6/(-4)*(-330)/(-45)*3638/(-2354).
17
Calculate (-13190)/(-329750)*((-5)/3 - 0).
-1/15
Evaluate ((2 + 2)/(-20))/(39 + 58938/(-1520)).
-8/9
-111 - -1606*(-159)/(-1166)
108
What is (-990)/105 + 9 - (-146)/210?
4/15
-2 - (29 - (-22 + 88))
35
Evaluate (-2079)/66*(-3)/18*-4.
-21
((-101)/((-42420)/175))/((-10)/116)
-29/6
Evaluate 1539/20655*-323 + (29 - 5).
-1/15
(10 + 0)/(20 + (-13640)/704)
16
Calculate -11*51/(-187)*(-15)/(180/56).
-14
Calculate (8/(-72))/(62/10602)*1.
-19
Calculate ((-2)/30)/((-12)/(-16)*2560/(-600)).
1/48
What is (-234)/65 - 984/(-15)?
62
What is ((-36)/225 - (-1183)/1300)/(-2*(-9)/1032)?
43
Evaluate 1/30 + 83034/3780.
22
What is the value of (15040/132 - 78/(-1287)) + -21?
93
2020/35350 - 1/(105/1406)
-40/3
What is the value of -455*(-4)/90 - 20 - (-292)/(-18)?
-16
Evaluate (-16*(-66)/64)/(18/4).
11/3
What is the value of (-2 + (1 - 0))*((-4)/26 - 535908/(-15691))?
-34
Evaluate (-1298)/20119 - 35/2170*(-16)/35.
-2/35
30/84*17955/(-114) + (-1)/(-4)
-56
Calculate 9/(-2) - -2 - 11929/3476*-22.
73
What is the value of ((-1322)/34 - 2) + ((-754000)/(-2465) - 306)?
-41
(-65)/15*(98/28 + -5)*-2
-13
What is the value of ((-6)/(-4))/(86478/45298)?
11/14
Evaluate (85 - -3) + (162 + -33 - 145).
72
What is 3/(-1) - 325/45*(-123)/287?
2/21
What is the value of (11*(-11)/484)/(1683/(-176)*2)?
2/153
(10/3)/(-21 + (-35)/(-9)*(-6963)/(-1477))
-5/4
Evaluate 7/5 + ((-522)/29 - -17) - (-72)/(-155).
-2/31
What is the value of (460/(-170))/(672/17136)?
-69
Evaluate 208 - 240 - (0 - (-3 + -18)).
-53
What is the value of (-46)/(-8) - ((25 - 106) + 87)?
-1/4
What is (-114)/(1203384/(-33215)) + (-26)/8?
-3/29
Evaluate 1*(-17 + 16) - 10*1.
-11
What is (69 - 13224/290)/3?
39/5
Calculate (3002/(-321) + 5 - 215/129) + 6/1.
-2/107
Evaluate (-319)/11165*20/(-6).
2/21
Evaluate 2/8*((-10)/6)/(162/(-243)).
5/8
Evaluate (1495/(-30))/299*654.
-109
86/134160*130*-6*3/16
-3/32
What is the value of ((-845)/(-35) + -3)/(-55 - 23607/(-427))?
74
(15/42*66/110)/((-1743)/(-166))
1/49
Evaluate 10 + 1058/(-23) - -43.
7
What is 1/((-6)/(-4))*1268/(-2536)*(-282)/2?
47
26/6318*(-21 + -6)
-1/9
What is (-2144)/(-402)*((-611)/91 + 13 + 2/(-7))?
32
7*((-4 - -3)/(-5) - ((-515)/175 - -3))
1
Evaluate (-2)/(16/(-3))*(-137456)/(-18744).
11/4
What is the value of (-3)/87 - (1981098/2842)/(-81)?
60/7
Evaluate 125981/212*(-2)/9 + 10/180.
-132
What is the value of 32*1 - ((-64061)/(-282) - 196)?
5/6
What is the value of (60352/(-640) + -4*9/(-120))*(-5)/(-10)?
-47
Calculate (-8)/5 + (-176)/6600*-2010.
52
(-219 - -203)*(6/(-7))/((-20)/((-1960)/(-42)))
-32
7 + 216/(-10)*(-930)/279
79
What is the value of 45/(-6) + 2520/80?
24
(-24)/3192*7*((-13)/5 - 12/(-20))
2/19
What is 6 - 1 - 36/1048*((-1909372)/(-153))/86?
2/131
What is the value of 23/((-966)/4788) - -90?
-24
Calculate 14*(-9)/(-126)*4914/(-54).
-91
Calculate (1/(-654)*(-3)/2)/(112/91392*-102).
-2/109
What is the value of (-2082)/36 + 1 - (1*4 + (-3654)/756)?
-56
What is 18715/(-1425) + ((-5)/(-25))/(-1) - (-15 - -4)?
-7/3
What is the value of ((-66)/4 + 9)/5*-4 - (-168)/3?
62
Evaluate ((-33)/(-374))/(618/8755).
5/4
Calculate 1 + (-2)/15 - 3/180*12.
2/3
Calculate (6 - 4)/(((-1672)/(-855))/(-44))*(-1 - 0).
45
What is 441/588*(64/48)/(6/8)?
4/3
What is the value of (-610 - -691) + ((-2)/(-6))/((-10)/(-360))?
93
Calculate 4288/528 + 452/(-3729).
8
Calculate 10*(65 + (-166698)/2565).
2/19
1*((-1)/4)/(((-23)/(-460))/1) + 5
0
5/(-30*20/(-3120)*1)
26
Calculate 31 - ((-84 - -109) + 23).
-17
Calculate 1452/(-66) + 43 + -59.
-38
Evaluate 3*57/(-6)*(20142/(-567) - -36)*-7.
95
Evaluate (2/1)/((-13)/234*-12 + (-10)/14).
-42
Calculate (-5430)/1991 - (-25515)/(-385).
-69
Calculate (-6 - -9) + 2/(-6)*(-190)/(-19).
-1/3
780/(-60) - -58 - (27 - 2)
20
Evaluate ((-78)/(-3) - -19) + -16.
29
What is (-3)/(-3) + 20 + (419 - 439)?
1
What is (5 - 3 - 5)*(7 + -16 - 304/24)?
65
Evaluate 65*106/(-3445)*(2/(-116))/1.
1/29
Calculate (-175)/(-25) + (120496/(-1008))/17.
-2/63
((12/54)/2)/((-303)/909)
-1/3
((-34025)/1050 - -33)/(20/(-12)*-1)*-2
-5/7
Calculate 23*1/8 - (-28)/(-700)*75.
-1/8
What is the value of 36816/(-708) + 16857/324?
1/36
Evaluate 2/(-5)*(3/2 + (-352)/224).
1/35
What is (-30)/(-102) + (-188889)/135490?
-11/10
Calculate (9 + -8)*8/400*10 - (-1848)/35.
53
Evaluate (-13474)/(-47159) - ((-86)/140 - 1/(-2)).
2/5
What is the value of ((-44268)/1704 + 26)/(13*(-45)/(-390))?
1/71
What is (-2260)/(-113) - 4802/238?
-3/17
What is the value of ((-6)/8)/(1*-11 - (3012/(-336) + -2))?
21
What is (-1)/(-2)*164/6*((-72)/8 - -8)?
-41/3
(26/(-10 - -11))/((-10)/(-15))
39
What is ((-480)/(-780))/((-20)/(-45)) - (0 + 0)*1?
18/13
Calculate (21469/(-1421) + 66/(-1914))*21/3.
-106
Calculate 489996/(-12564) + (-3)/1 + (2 - 1).
-41
Evaluate 1/(3/18)*((-49913)/(-1221) + -41).
-8/11
Calculate 28200/675 + -9*(-5)/5 - (-2)/9.
51
What is the value of (-468)/(-434) - 3 - (-36308)/562774?
-13/7
What is the value of (-12)/(-8) - (-41561)/(-2522) - (-75)/10*2?
2/97
What is the value of (4/10)/(196/308700*-15)?
-42
Evaluate ((-90)/(-48))/(29 - 45118/1632).
18/13
What is the value of 17/(-578)*289/(-34) - (-3)/24*-866?
-108
Evaluate (4320/(-3264))/((-8)/272).
45
Evaluate (-20)/(-34) - (3818/(-83) - -46).
10/17
Evaluate (-4)/(-18) + 901/36 - (19521/241 - 68).
49/4
35/(-3)*2446/(-256830)
1/9
What is the value of ((-4)/(-31))/((-4724)/(-2269882))?
62
What is (-850)/(-1428) + (-196)/168?
-4/7
What is (445005/403)/(-45) + 25?
6/13
Calculate 46718/852 + 156/72.
57
What is the value of (12*-1)/(1218/(-48) - (-14 + -11))?
32
What is the value of 46/(-1127)*-2030 - 288/336?
82
What is the value of (-39)/(-1 + -2) + (5 - -5) + -18 + 4?
9
Evaluate ((-10)/(-3))/(((-49)/(-735))/(-5*(-5)/125)).
10
What is the value of 46/(644/714) + 26 + -5?
72
What is the value of -99 + -5 + (-18810)/(-180)?
1/2
Evaluate 258984/(-128838) + (1 - (-5)/5).
-2/197
(-16642)/(-118) + (41567 - 41708)
2/59
Evaluate -241 + 238 - (2 + (-384)/18)/(114/18).
1/19
((7/(9 - 2))/((-14)/6))/((-2220)/(-777))
-3/20
What is (-26)/((2 + 8)*558/5580)?
-26
(-137)/(-3) + 3632/2724 + (-4 - -2)
45
Evaluate 7/(-56)*((-9)/(-2) - 4).
-1/16
Evaluate (15/63)/(10/(-18)*(3081/(-78) + 35)).
2/21
((-28272)/1008 - (-189)/7) + (-8)/(-6)
2/7
(-19 - 9/9) + -2 - (-40 + -8)
26
What is (-30)/(-513)*(-9 - (-4929)/530)?
1/57
(-32)/(-18) - 2 - (-110 - 65593/(-603))
1
Evaluate ((-2660)/(-1729))/((-660)/(-78) - 8).
10/3
What is the value of (44/6)/(2790/(-3069) + (-71)/(-132)*2)?
44
What is 4/(-6)*(-47)/((-218080)/240)?
-1/29
What is the value of (20 - 69) + (25 - 6)?
-30
Calculate (-33099)/(-2431)*234/54.
59
Calculate (-20 - -21)/(16/(-7632)*9).
-53
What is the value of 7/(-35)*(-21560)/(-77)?
-56
((-45)/315)/
|
{
"pile_set_name": "DM Mathematics"
}
|
) = -5*x + 19. Let v be c(5). Is p(v) composite?
False
Let a(n) = 286*n**2 + 2*n. Let s be a(2). Suppose 2*r = -4*o + s, o - 5*r - 574 = -o. Is o a composite number?
True
Let c(m) = -2*m**3 - 5*m**2 + 3*m + 5. Let f be c(-5). Is (-366)/2*f/(-15) a composite number?
True
Suppose 24*p - 29*p + 10 = 0. Let o(c) = 659*c**3 + 3*c**2 - c - 5. Is o(p) composite?
True
Suppose -4*h + 144 = -3*v, h - 72 = -h - 4*v. Let j = 46 - h. Is j prime?
False
Let c = 22 + -22. Suppose -2 = -2*v - c. Is v*(-2)/4*-194 a composite number?
False
Suppose -m = -3*c + 46, -3*c + 3*m + 49 = -m. Let b(p) = -10*p - 26. Let y be b(-9). Suppose -y = -r + c. Is r prime?
True
Suppose 3*m - 4591 = -0*m - 2*x, 0 = -5*m - 3*x + 7651. Is m a prime number?
False
Suppose -2*m - o + 18355 = -m, 0 = -4*m - 2*o + 73416. Is m a composite number?
False
Let o(f) = 888*f**3 + f**2 - 3*f + 3. Is o(1) a prime number?
False
Suppose 41437 = 20*i - 15303. Is i a prime number?
True
Let f = -4 + 7. Suppose f*i - 1 = 2*i. Suppose i - 75 = -q. Is q a prime number?
False
Suppose 0 = 5*i - 18 - 7. Let r(j) = 95*j + 4. Let q be r(i). Suppose 536 = 7*n - q. Is n a prime number?
False
Is 3/(36/8)*(-234552)/(-16) composite?
True
Let q(h) = -24*h - 11. Let s(r) = -23*r - 11. Let z(x) = -7*q(x) + 6*s(x). Let o be z(-5). Let w = o - -198. Is w composite?
False
Let t = -1161 - -3447. Suppose t = 8*v - 2*v. Is v a composite number?
True
Let t = 821 + -466. Suppose -2*s = -5*m + 1543, -4*s = 4*m + t - 1567. Is m a prime number?
True
Is 5686 - (-7)/(63/(-27)) a prime number?
True
Let q(i) be the first derivative of 2*i**3/3 - 14*i**2 + 21*i + 42. Is q(-23) a prime number?
True
Let v = 16 - 17. Is v + 845 + (4 - 7) a prime number?
False
Suppose 0 = -5*l + v + 164547, -2*l = 3*v - 47160 - 18652. Is l composite?
False
Suppose 4110 + 5962 = 8*t. Is t a prime number?
True
Let m(i) = i**3 + 12*i**2 - 14*i - 12. Let j be m(-13). Is j*((-2678)/(-14) + (-22)/77) prime?
True
Let q be 1*6/3 - -37. Suppose -q - 17 = -v - 4*w, 0 = -4*w + 12. Let k = 63 - v. Is k a prime number?
True
Let k(j) = -11*j - 7. Let f(u) = -12*u - 7. Let v(x) = -5*f(x) + 6*k(x). Let w be 10/4*(-6)/5. Is v(w) a prime number?
True
Is 2464 - (5 + -5 + 1) a prime number?
False
Let l be (-4)/(12*1)*-4101. Suppose 5*j + 167 - l = 0. Let i = -143 + j. Is i a prime number?
True
Suppose -3 = p, 3*b + 4*p - 2*p = -3. Let i = b - 5. Is (-1)/i + (-1267)/(-4) a prime number?
True
Suppose 70*y - 136 = 66*y. Is 3906/y - 12/(-102) a prime number?
False
Suppose 0 = 4*z + 4*a - 1508, -566 = 5*z + 3*a - 2455. Is z a prime number?
True
Is (-1)/(-4) + 2775/148 a composite number?
False
Let m(l) = -l**2 + 8*l - 4. Let z(g) = g**2 - 9*g + 5. Let w(j) = -7*m(j) - 6*z(j). Suppose -14*n + 171 = 17. Is w(n) a prime number?
True
Let r = 68 + -86. Let x = r - -65. Is x a prime number?
True
Is ((-4)/(-5))/2*174780/72 composite?
False
Let f be -3 + (0/3 - -137). Let l = f + 27. Is l prime?
False
Suppose 78 - 3034 = -2*c. Let z = c - -645. Is z a prime number?
False
Let i(c) = -1259*c + 89. Is i(-10) a prime number?
False
Let w(f) = 2*f**3 - 26*f**2 + 4*f + 10. Let y(s) = s**3 - 26*s**2 + 2*s + 11. Let r(c) = 2*w(c) - 3*y(c). Is r(-25) prime?
False
Let z(y) be the third derivative of y**5/15 - y**4/12 - 13*y**3/6 - 14*y**2. Is z(-8) a composite number?
True
Suppose -2*l + 11439 = 5*h, -6*l + 8 = -2*l. Is h prime?
True
Let p(t) be the second derivative of 5*t**4/12 + 2*t**3/3 + t**2/2 - 23*t. Is p(4) a composite number?
False
Let m be (2/(4/3047))/(19/(-38)). Let w = m - -5904. Is w prime?
True
Let s(g) = -2604*g + 7. Suppose 0 = r + 3. Is s(r) prime?
False
Suppose -150 = -2*n - 2*g, -2*n + 5*n = -5*g + 229. Is 2/12 - n*164/(-24) composite?
False
Suppose -5*l = -3*l - 960. Suppose -3*p - 714 = -3*y, -y + l = y + 2*p. Is y prime?
True
Suppose 3*y + 4*y = 35. Suppose -y*t + 5 = 0, -2*l - t + 8 = -3*t. Suppose -3*o - 4*p + 147 + 246 = 0, -l*o = -2*p - 629. Is o composite?
False
Let x be 2*3/(-4)*(28 + -26). Is ((-3)/x)/((-2)/(-1678)) composite?
False
Let q(a) = -a**3 - 5*a**2 - a + 7. Let r be q(-3). Is (3 + r + 3)/((-2)/419) composite?
False
Let k be 0 + (-1 - 0) - (-61 - -57). Is 37840/60 + 1/k composite?
False
Let l = 20 + -17. Suppose l*v = 961 + 944. Is v a composite number?
True
Suppose -9993 + 28244 = 5*t + 2*z, -t = -5*z - 3634. Is t a prime number?
False
Let u = -9 + 13. Suppose 3*m - 1299 = -3*j, 5*m - u*j = 1036 + 1165. Is m a composite number?
True
Let w = 6497 + -1734. Is w prime?
False
Let d = 3 + 2. Suppose -d*f - v = -6213, -2*v + 4*v - 1239 = -f. Is f a prime number?
False
Suppose -3*u + 2*h + 696 = 0, 4*h = -4*u + 761 + 167. Suppose -2*c + 3*t + 416 = 0, 0 = -4*c - t - u + 1078. Is c prime?
True
Let q(j) = -5*j + 4*j - 258*j**3 - 2*j - 2. Is q(-1) a prime number?
False
Let m(x) = -35348*x - 17. Is m(-1) a prime number?
False
Suppose -z - 537 = 2*g, -5*z - 4*g = -9*g + 2670. Let k(n) = 352*n**3 - 2*n**2 - n + 1. Let y be k(-1). Let q = y - z. Is q composite?
True
Let r(s) = -143*s + 4. Let x be r(-1). Is ((-2)/6)/((-1)/x) a prime number?
False
Suppose -5*r = -3*l - 2*l + 5, 4*l - 3*r - 6 = 0. Is l*(-2)/(-6) - -3802 prime?
True
Suppose -3*z = -2*h - 483, 4*h - z + 1001 = -2*z. Let b = 452 + h. Is b a composite number?
True
Suppose -1656 = 2*f - 5974. Is f a composite number?
True
Is (25030341/(-27))/(-17) - 4/(-6) a composite number?
True
Suppose 54*s - 63*s = -100593. Is s a composite number?
False
Suppose 3*c + 12793 = q, 17*q = 12*q - c + 63901. Is q a prime number?
True
Suppose 10*a + 9*a = 437. Is a a prime number?
True
Suppose 5*c = 12*c - 273553. Is c a composite number?
False
Is (-4)/(-4)*(2 - 3) - -11284 prime?
False
Suppose -3*r + 16498 = 5*h, -4*r + 4*h + 33624 = 11616. Is r a composite number?
False
Let t be 22/(((-4)/3)/((-4)/6)). Suppose 432 = t*x - 1889. Is x prime?
True
Let c = -19669 - -30948. Is c a composite number?
False
Let u be (-8)/(-36) - 2/9. Let s(q) = -q + 5. Let f be s(u). Suppose 3*k = f*x + 222, -2*k - k = 3*x - 246. Is k prime?
True
Let b = -8 + 2. Let t = b - 7. Is (0 + -1)*689/t prime?
True
Let k = -2454 + 12743. Is k composite?
False
Suppose -11*q = -13*q. Suppose 0 = -q*x - 9*x + 14301. Is x a prime number?
False
Let f(l) = -l + 4. Let g be f(3). Let c(b) = 8*b**3 - b + 1. Let t be c(g). Suppose 1452 = t*y - 2476. Is y a composite number?
False
Let w = -13 - -6. Let k be (-3)/7 - (-46)/w. Is (-7)/(k/330) + 1 prime?
True
Suppose 2*l - 111516 = -5*q, -3*l + 93152 + 74127 = 5*q. Is l a prime number?
True
Let s be 90/27 + (-1)/((-6)/4). Suppose k - 3*x - 78 - 323 = 0, s*k = 5*x + 1590. Is k a composite number?
True
Suppose 5*n = -3*h + 33, -14 - 3 = -2*n - 5*h. Suppose n*p - 4*p - 154 = 0. Is p prime?
False
Let c(m) = 59*m**2 + 21*m + 5. Let u be (4 - 1)*(-1 + -2). Is c(u) prime?
False
Let j(z) = 127*z**3 - z. Let b be j(1). Suppose 3*v - 1 = -4*x, v - 4*v - 15 = 0. Suppose -x*g + 22 = -b. Is g prime?
True
Let v be 1/2*4 - -2. Let u be (v/4)/((-1)/(-5)). Suppose 5*s + t - 243 = 3*t, 0 = -s + u*t + 44. Is s a composite number?
True
Let l = 160 - -82. Suppose 3*g + 355 = -14. Let h = l + g. Is h a prime number?
False
Let h = -1835 + 17088. Is h a composite number?
True
Let l = 423 - 262. Suppose 2*r - 3*r - v + l = 0, 3*v = 5*r - 805. Is r a prime number?
False
Suppose -34*r + 24*r + 831490 = 0. Is r a prime number?
False
Suppose 3501 = 2*d + 2*d - 3*j, 3*j + 1743 = 2*d. Suppose -3*r + d = -0*r. Is r a prime number?
True
Let z = 5 + -2. Let j(w) = -w**2 + 5*w - 3. Let v be j(z). Suppose -2 = 2*d, -h + 297 = v*h - d. Is h composite?
True
Let g = -36 + 38. Suppose g*u - 364 = 4*i + 1294, -u - 4*i + 859 = 0. Is u composite?
False
Suppose -4*a - 1512 = -5*l + 172, -5*a = -4*l + 1349. Suppose -725 = -146*y + 151*y. Let r = y + l. Is r composite?
False
Suppose -2*v - 2*i = -192, -4*i - 412 = -5*v + 23. Let y = v + -54. Is y composite?
False
Let v be (72/20)/(2/5). Let r be 3/v*3 + -341. Is r/(-6)*(-3)/(-2) composite?
True
Let d be (5 + -4 + -7)*2/4. Let o(y) = 12*y - 13. Let w(f) = 6*f - 6. Let n(k) = 3*o(k) - 7*w(k). Is n(d) prime?
False
Let i be (8/(-16))/(3/6). Is (-55664)/(-32) + i/2 prime?
False
Let p(z) = 65*z - 38. Is p(15) composite?
False
Let m(q) = 294*q - 107. Is m(11) a prime number?
False
Suppose -z + 1 = 4. Is ((-2)/(-6))/(z/(-
|
{
"pile_set_name": "DM Mathematics"
}
|
4*c + 10 = 0, 4*g - 45 = -5*c - 73 for g.
-2
Solve 5*g - 10 = -7*o + 5*o, 0 = -3*g + 2*o + 6 for g.
2
Solve u = 0, -11 + 23 = 3*f - 4*u for f.
4
Solve -2*z = t + 2, -24*z - 4*t = -22*z - 16 for z.
-4
Solve -4*d - 3*c - 12 = c, 0 = 2*d + c + 1 for d.
2
Solve 5*z = -n, 0 = -17*z + 13*z - 4*n for z.
0
Solve 0 = 3*x + a - 5*a - 6, 4 = 2*x + 2*a for x.
2
Solve 3*i = 3*l + 21, -4*l + 5*i - 1 = 32 for l.
-2
Solve 4*r + u = 17, 5*r + 908 = 4*u + 945 for r.
5
Solve 4*h = -2*l - 8, -l + 11 = -3*h - 5 for h.
-4
Solve -5*b + 20 - 45 = 5*j, -4*j - 15 = -b for j.
-4
Solve 3*z = -4*w + 3, -14 = -6*w + 4*w - 4*z for w.
-3
Solve 1093*v + 17 = 3*z + 1089*v, z - v - 5 = 0 for z.
3
Solve 21 = 5*q - 4*o, 0*q - 3 = -q + 2*o for q.
5
Solve 4*k = -5*b + 25, 5*b - 30 = -2*k - 3*k for k.
5
Solve -o - 6 = i - 4, -10 = -2*i + 5*o for i.
0
Solve -27 = 4*q + 4*y - 19, 7 = -4*q - 5*y for q.
-3
Solve 4*q = -f, -q - 3*q - 20 = -4*f for f.
4
Solve 0*y - 17 = 3*y + 2*v, 5*v + 23 = -y for y.
-3
Solve 5*g = 0, -3*o - 6*g + g + 8 - 2 = 0 for o.
2
Solve 0 = -5*q - 366*j + 370*j - 56, 0 = -4*q + 2*j - 34 for q.
-4
Solve k = -f - 3 + 6, -5*f - 5 = k for f.
-2
Solve -a - 12 = -4*a, -5*a + 35 = 5*q for q.
3
Solve 4*m + 25 = 3*h, 2*h + 6 = m - 4*m for h.
3
Solve 5*o = 3*u - 18, -3*o + 3*u = -2*o + 6 for o.
-3
Solve 4*s - 3*s - 12 = 5*y, 2*s - 5*y - 14 = 0 for s.
2
Solve h - 20*z = -15*z, -3*h = -z for h.
0
Solve -5*v - a = -2*a - 13, v - 2*a = -1 for v.
3
Solve 10 = -8*n + 6*n - 2*f, 3*f = -5*n - 19 for n.
-2
Solve -3*t = 5*w + 1, -4*t + 4*w = 6*w + 6 for t.
-2
Solve 0 = -5*r + 5*k + 25, -r - 3*k = -8 + 3 for r.
5
Solve 5*u + 12 = -3*t, 0 = 2*t - 240*u + 238*u + 8 for t.
-4
Solve 0 = 3*t + 2*f + 19, -2*f - 2 = -2*t + 2 for t.
-3
Solve j - 2*b + 8 = -6*b, 2*b + 4 = 4*j for j.
0
Solve -3 = 3*n + 3*i, 3*i - 4 - 5 = 3*n for n.
-2
Solve p - 4*k + 23 = 0, -13*k + 15*k - 7 = -p for p.
-3
Solve -4*i + 16 = -2*f, -3*i + 4*i - 2*f - 1 = 0 for i.
5
Solve -2*c = -3*j + 121 - 124, -4*j + 10 = 2*c for c.
3
Solve -4*z - z = -o - 24, -3*z - 2*o = -17 for z.
5
Solve -i - i + 4*q = -6, -3*i = 4*q + 31 for i.
-5
Solve -2*p - m = 1, 3*m - 2*m + 1 = p for p.
0
Solve -3*c + 0 = -5*h + 2, 0 = 5*c + 5*h + 30 for c.
-4
Solve -m - 5*o = 3*m - 32, m - o + 1 = 0 for m.
3
Solve 0 = 4*u + 2*v - 22, -11 = -5*u + 8*u - 4*v for u.
3
Solve 0 = 5*u - 8*t + 13*t, 4*t = -16 for u.
4
Solve -3*d = -2*l - 3, 6*d - 4*d + 3*l = -11 for d.
-1
Solve 5*d - 2*k + 4 = 0, 2*d = -2*d + 2*k - 2 for d.
-2
Solve -l + 19 = -2*u + 6*u, -2*l + 26 = 5*u for u.
4
Solve 2*l + 9 = 3*o, -5*l + 36 - 11 = 2*o for o.
5
Solve a - 41*f - 7 = -43*f, a - 3*f - 2 = 0 for a.
5
Solve 4*i - 5*s + 14 = -7*s, -3*s = 9 for i.
-2
Solve 4*n = -q + 11, -40 + 18 = -4*q - 5*n for q.
3
Solve 3*n = 5*n + 6, 3*n = 2*k - 3 for k.
-3
Solve 2*d = -b + 2 - 5, -4 = 2*d + 2*b for d.
-1
Solve 2*p - 18 = 4*r, -18*p - 16 = -22*p - 2*r for p.
5
Solve 187*z - 183*z + 4*g - 20 = 0, z + 3*g - 5 = 0 for z.
5
Solve -3*s + l = -2*l - 18, 0 = -3*l - 15 for s.
1
Solve n - 13 + 29 = 5*x, 0 = -4*n + 16 for x.
4
Solve 0 = 5*h + 10, -4*j - 13*h + 8*h = 2 for j.
2
Solve -16 = 3*r - w, -w + 3*w - 16 = 2*r for r.
-4
Solve 2*i - 26 = 5*h, -5*h = -i + 6*i + 5 for i.
3
Solve -3*h - 3*m = -6, 0*h + 2*m + 5 = h for h.
3
Solve -5*t - 64*v = -62*v, 3*v = t + 17 for t.
-2
Solve z + 3*h = -2*z, 0 = z - h + 8 for z.
-4
Solve -5*h + 0*a - 12 = 3*a, -4*h - 3*a - 9 = 0 for h.
-3
Solve 10 = -5*l - 2*r, -28*l = -30*l + 4*r - 28 for l.
-4
Solve 0 = 4*k - 20, 5*b - 14*k + 30 = -12*k for b.
-4
Solve 0 = 3*y + 3*p, p = 4*y + 1 - 11 for y.
2
Solve -4*c + 1 = -m - 3, 0 = -2*m - 3*c + 14 for m.
4
Solve -l + 13*b - 16*b = 14, -2*b - 16 = 4*l for l.
-2
Solve 2*u - q = 9, 3*u + 3*q = 7*u - 23 for u.
2
Solve m = -w - 1, -4*m - w - 5 + 7 = 0 for m.
1
Solve 0 = -2*l - 3*p - 9, -17*l + 21*l = 3*p + 27 for l.
3
Solve 2*r + k = 0, -23 = -2*r + 5*k + 1 for r.
2
Solve -9 = -o + 5*b, -b + 16 = -o + 17 for o.
-1
Solve 4*k = -2*b - 8, k - 8 = b - 4*b for b.
4
Solve 5*d + 5*j - 20 = 0, d - 6*j = -4*j - 8 for d.
0
Solve 0*k + 5*d + 17 = -3*k, 4*d + 21 = 5*k for k.
1
Solve -5*d + 4*t + 59 = 4, t = 4*d - 33 for d.
7
Solve -3*l = -0*l + 3*n + 18, 0 = -3*l - 5*n - 20 for l.
-5
Solve -5*b + 5*c = 40, 2*b + 3*c - 4 = -0*b for b.
-4
Solve -2*h = -5*c - 6, 6*c - 10*c = 4*h - 12 for c.
0
Solve -5*m = -z + 36, -z - 48 = 4*m - 21 for m.
-7
Solve -40 = 15*x - 11*x - 5*a, 3*a = 5*x + 37 for x.
-5
Solve r - 7*v + 5 = -6*v, -15 = 3*r - v for r.
-5
Solve 3*l - c = 13, 2*l + 4*c = -c + 3 for l.
4
Solve 4*s + 5*b + 25 = 10, 6 = -2*s - 2*b for s.
0
Solve -3*y + 4*v - 6 = 0, 3*v = -2*y - 2*v + 19 for y.
2
Solve v + 4 = 0, 5*v = 2*q - 0*v - 16 for q.
-2
Solve -5*c - 25 = -2*j, 4*j - 5*c - 17 = 8 for j.
0
Solve x + 0*x - 1 = 0, p - 2*x + 4 = 0 for p.
-2
Solve -9 = -3*b, -3*b + 29 = 6*f - 2*f for f.
5
Solve w = 2*p - 7, 0 = -5*w + 971*p - 972*p - 24 for w.
-5
Solve -13 = -3*s - 2*j - 20, 2*j = -10 for s.
1
Solve -4*q + 43*s - 38*s + 21 = 0, -2*s = -4*q + 18 for q.
4
Solve 8*a - 2*m = 3*a - 9, 2*m = -6 for a.
-3
Solve 3*w - 2*r = -1, -r - 4 = -4*w + 7*w for w.
-1
Solve -4*q + 21 = -s, -3*s + 21 - 4 = 4*q for s.
-1
Solve 6*m = 3*m - 7*x - 33, 5 = -5*m + 5*x for m.
-4
Solve -2*m = -4*k + 18, -12*m + 7*m - 33 = -4*k for m.
-5
Solve 32 = -4*i + 4*v, 0 = -i + 2*i + v for i.
-4
Solve 4*c = 2*x - 5*x - 10, 0 = -5*c + 3*x + 1 for c.
-1
Solve -4*r = 2*d, -33*d + 5*r + 3 = -34*d for d.
2
Solve 0 = 4*w + 5*q - 10 + 51, 0 = 3*q + 15 for w.
-4
Solve -x - 27 = 5*b - 26, 2*x - b = 9 for x.
4
Solve 0 = k + 4*b - b + 13, -4*k = -2*b - 18 for k.
2
Solve -4*u - 3 = 3*d - 0*u, 3*u - 24 = 3*d for d.
-5
Solve -g - 9 = -3*c, -g + 4*c - 7*c + 9 = 0 for g.
0
Solve -4*f + 4*n + 20 = 0, 2 + 5 = -f - 2*n for f.
1
Solve -2*r - 4 = 3*y, -3 = 2*r - 4*y + 15 for r.
-5
Solve -2 = -4*o + 5*r, -3*o - 44 + 28 = 5*r for o.
-2
Solve 3*m + 12 = -c, -c + 3*m + 18 = -0*c for c.
3
Solve -3*j = 3*p + 3, 7*j = -0*p + p - 39 for p.
4
Solve 2*c = -4*u + 22, -3*c + 3*u - 39 = -45 for c.
5
Solve 2*x - 2 = 2*c, 4 = 4*x - 4*c + 5*c for x.
1
Solve 3*k + 78 - 67 = -a, 2*a - 7*k - 17 = 0 for a.
-2
Solve -5*l - 19 = -m - 2*m, 0 = -2*l - 4 for m.
3
Solve 2*i = -2 + 8, 3*i = h + 8 for h.
1
Solve 4*u - p - 13 = 0, -2 - 3 = -5*u - p for u.
2
Solve 0 = -4*z - 7*q + 4*q + 15, -5*q = z - 25 for z.
0
Solve -27 = -10*j + 14*j + 3*f, -5*j - 4*f = 35 for j.
-3
Solve -3*v = -2*y + 5, 3*v - y + 4 = v for v.
-3
Solve -3 = 5*k + 12, -q + 2*k = -8 for q.
2
Solve 3*m + 3*y + 7 = 13, -5*m + 10 = -y for m.
2
Solve -4*y - 3*j = -2*y + 3, -3 = -3*j for y.
-3
Solve 0 = 4*l - 4*g, -2*l - g = 7 - 16 for l.
3
Solve 2*d - 27*a = -32*a + 2, 0 = 4*a - 8 for d.
-4
Solve -2*c = -5*m + 20, -3*m + 89 - 77 = 4*c for m.
4
Solve -3*r + 21 = -k - 2*k, -k + 2*r - 11 = 0 for k.
-3
Solve 4*a = -4*t + 7 + 13, 3*t + 4*a - 20 = 0 for t.
0
Solve 97*i - 96*i = -10*w - 6, 0 = -3*w for i.
-6
Solve 8 = -2*i - c, -7*i - 12 = -5*i - c for i.
-5
Solve -3*a - u + 3 = -3, 2*a - 4 = 3*u for a.
2
Solve 0 = 19*y - 24*y + 3*m - 2, y = -5*m + 22 for y.
2
Solve -41*r + 39*r - 22 = 3*m, 0 = 2*m + 2*r + 18 for m.
-4
Solve -23 = -5*j - v, -4*j + 19*v - 21*v + 16 = 0 for j.
5
Solve -5*r + 25*v - 22*v = 1, -2*v - 12 = 3*r for r.
-2
Solve -f + 3 = 2*s, 153*s - 9 = 155*s - 3*f for s.
0
Solve 37*b + 2*l + 6 = 36*b, 41 = 4*b - 5*l for b.
4
Solve 3*v + 5*d = 10, -16*d + 5 = 4*v - 11*d for v.
-5
Solve 89 - 101 = -5*h - 2*x, 3*h - 7*x - 40 = 0 for h.
4
Solve -5*x + 0*j + 5*j + 5 = 0, 2*j + 1 = 3*x for x.
-1
Solve 8 = -2*s, 13 + 11 = -2*y - 5*s for y.
-2
Solve -5*o + 5 = -5*r, -7*o + 8*o + 5 = -r for r.
-3
Solve -98*b - 3*g = -99*b + 16, -5*g - 36 = -4*b for b.
4
Solve -5 = -3*a + 2*h, 17*a + 4*h = 15*a + 14 for a.
3
Solve -x - 259*k = -255*k + 3, 6 = -2*x - 2*k for x.
-3
Solve -3*x - 2*s - 9 = 0, -2*x + 4*s = -x + 3 for x.
-3
Solve -4*w - n + 5*n = 0, 3*w + 5*n = -8 for w.
-1
Solve -25 + 8 = -3*v - 4*m, -14 = -v - 3*m for v.
-1
Solve 9*h - 8*h - 7 = 5*y, 0 = 5*y + 5*h + 25 for y.
-2
Solve 38*q - 39*q - 5*w - 16 = 0, 0 = w + 2 for q.
-6
Solve 4 = 2*z - 3*w - 2, 0 = -z + 4*w + 8 for z.
0
Solve 0 = -2*w + j - 2 - 4, -5*j - 6 = 2*w for w.
-3
Solve -3*a + 5*a = -3*g + 12, 0 = a + 5*g - 20 for a.
0
Solve -5*g = 2*v + 6, 22*g = 17*g - 10 for v.
2
Solve 4*s = -k - 11, -s + 6*s
|
{
"pile_set_name": "DM Mathematics"
}
|
qrt(72) - ((sqrt(72) + 2*sqrt(72))*-6 - sqrt(72))))/(sqrt(4) - (sqrt(4) - sqrt(484)*2)) + 5)**2.
504*sqrt(2)/11 + 19457/242
Simplify ((2*sqrt(3388))/sqrt(4))**2 - ((5 + sqrt(7) + 0)*-1)**2.
-10*sqrt(7) + 3356
Simplify (sqrt(162) - (sqrt(162) - (sqrt(162) + 1)) - sqrt(162) - (sqrt(4)/sqrt(2) + sqrt(2))*-5)**2 + 3*(sqrt(2) + sqrt(162) + sqrt(162)*1).
77*sqrt(2) + 201
Simplify (-2*sqrt(360) - sqrt(10))/(-3*sqrt(80))*1.
13*sqrt(2)/12
Simplify ((3*sqrt(315))/sqrt(9) - sqrt(35))/((sqrt(84) - -1*sqrt(84))/sqrt(12)).
sqrt(5)
Simplify (0 + (sqrt(7) - ((sqrt(7) + 4 - sqrt(7)) + 0))*-4 + 2)**2.
-144*sqrt(7) + 436
Simplify (-4*(-3 + -3*sqrt(147) + 0 + 5) + 2)**2.
-1008*sqrt(3) + 21204
Simplify (-4*3*sqrt(22))/(sqrt(10)/(sqrt(25)/sqrt(5)))*3 + 1.
-36*sqrt(11) + 1
Simplify (0 + (0 + sqrt(1008) + sqrt(1008))*3 + sqrt(1008) + 2*(sqrt(1008) - (1*sqrt(1008) + sqrt(1008))) + 2)**2.
240*sqrt(7) + 25204
Simplify -1 + (sqrt(128) + ((-1 + sqrt(128))*-6)**2)*-2.
-9289 + 1136*sqrt(2)
Simplify -2*((sqrt(252) - (-3 + sqrt(252) + -1)**2) + sqrt(70)/(sqrt(10) - (sqrt(1000)*2 - sqrt(1000)))).
-970*sqrt(7)/9 + 536
Simplify ((-2*sqrt(330)*1)/sqrt(11))/(1*(sqrt(384) - (sqrt(384) - -3*sqrt(384)))).
sqrt(5)/12
Simplify -6*(sqrt(1700) - (sqrt(1700) - ((sqrt(1700)*-2 + 2)**2 - sqrt(1700))) - -2*(sqrt(1700) + sqrt(1700) + (sqrt(1700) + 2)**2)).
-61272 - 180*sqrt(17)
Simplify -5 + sqrt(117) + 4*(-2*sqrt(117))**2 - (-2*sqrt(117)*5 + (0 + sqrt(117) + 4)**2 + sqrt(117)).
6*sqrt(13) + 1734
Simplify 3 + 4 + (-3*sqrt(176) - sqrt(176)) + 2 + (-2 + sqrt(176))**2*1.
-32*sqrt(11) + 189
Simplify -6*((sqrt(72) - (sqrt(72) + sqrt(72) + (-1 + sqrt(72)*-1 - sqrt(72))**2)) + sqrt(72) + 3)*3.
432*sqrt(2) + 5148
Simplify (2*(sqrt(130) - sqrt(130)*-1) - -2*sqrt(130)*4)/(sqrt(250)*-1 + sqrt(250)*-1).
-6*sqrt(13)/5
Simplify ((0 + (sqrt(832) - 3*sqrt(832)))*4)**2 + 5*(1*sqrt(832))**2 + 4.
57412
Simplify ((5 + sqrt(10)/sqrt(5) - (sqrt(12)/sqrt(6) + -1)) + 0 + sqrt(22)/sqrt(99)*4)**2.
16*sqrt(2) + 356/9
Simplify ((1*sqrt(847) - sqrt(847)) + -2)**2 - (4*((sqrt(28)/sqrt(4))**2 + sqrt(7)) - (sqrt(112) + 0)).
-24
Simplify ((sqrt(5) - (sqrt(5) - (sqrt(5) + 3) - sqrt(5))) + 4)**2*3*-5 + -1.
-1036 - 420*sqrt(5)
Simplify (sqrt(85)/sqrt(20) - (sqrt(17) - (sqrt(833) - (sqrt(833) + 1)))) + -5*4*sqrt(612).
-241*sqrt(17)/2 - 1
Simplify -2 + (3*sqrt(960))/(-2*sqrt(3)*6).
-2*sqrt(5) - 2
Simplify -4*sqrt(19)*1 - -2*sqrt(304) - ((sqrt(475)*1)**2 + (2*sqrt(19) + 5)**2).
-576 - 16*sqrt(19)
Simplify 3*((sqrt(135)*2)/sqrt(3) + 5*(sqrt(55) + (sqrt(880) - sqrt(55)))/sqrt(11)).
78*sqrt(5)
Simplify ((-5*(sqrt(143) + sqrt(143)*2*6))/((sqrt(44) + 1*(sqrt(44) + sqrt(132)/sqrt(3)))/sqrt(4)))**2.
54925/9
Simplify (((sqrt(110) + (sqrt(110) - (sqrt(110)*-3 - sqrt(110))) + sqrt(110))*-3 + sqrt(110))*-1)/(-6*sqrt(60)/sqrt(216)).
-20*sqrt(11)
Simplify ((sqrt(5324)*-2 + sqrt(396)*-2)/(sqrt(324)*-6))**2.
2156/729
Simplify -2 + (3 + (sqrt(153) - sqrt(17)))**2 + (-3 + sqrt(17))*-6.
6*sqrt(17) + 93
Simplify -6*-5*-1*(-1 + sqrt(468) + 5)*-1.
120 + 180*sqrt(13)
Simplify (sqrt(475) + 0 + -1 + 4 + sqrt(475) + 1 + sqrt(475) - (-4*(sqrt(475) + 2) + -5))**2.
1190*sqrt(19) + 23564
Simplify -1 + (((sqrt(8) + sqrt(32))*-1)/(sqrt(484)*3))**2.
-119/121
Simplify 4 + 4*(-4*sqrt(153)*-2 - -4*(sqrt(17) + 0)*-1).
4 + 80*sqrt(17)
Simplify 2 + ((sqrt(1900) + sqrt(1900) + -3 + sqrt(1900) + -1 - sqrt(1900))**2 + -4)*-2.
-15222 + 320*sqrt(19)
Simplify (sqrt(112) - (sqrt(112) + sqrt(112) + ((sqrt(112) - sqrt(112)*2)*-6 + sqrt(112) - sqrt(112))) - (5 + -2*sqrt(112) + sqrt(112)))**2*-4 + 2.
-16226 - 960*sqrt(7)
Simplify ((-4 + sqrt(252) + 2 + sqrt(252) + -2*1*sqrt(252))*-6 + 3)**2.
225
Simplify -2*(sqrt(26)/(2*sqrt(128)) - sqrt(91)/(2*(sqrt(7) - (sqrt(7) + sqrt(7)*-1))))**2.
-637/128
Simplify sqrt(1300) - -4*sqrt(1300)*-1 - 3*1*sqrt(1300).
-60*sqrt(13)
Simplify 0 + (0 + 2 + sqrt(75))**2 + 1.
20*sqrt(3) + 80
Simplify (-4*(sqrt(49) - sqrt(49)*3))/(sqrt(14)/(sqrt(6)/sqrt(3)))*4.
32*sqrt(7)
Simplify 1*(-2 + (sqrt(637) + 4)*2).
6 + 14*sqrt(13)
Simplify (((sqrt(1260) - sqrt(1260)*-3)*6)/(-2*sqrt(320)*3))**2.
63
Simplify ((sqrt(50)*-1*-5 - (2 + sqrt(50))*-5)*3)**2.
9000*sqrt(2) + 45900
Simplify ((sqrt(330) - sqrt(330)*-1)/sqrt(11)*3)/(sqrt(30)/sqrt(3)*-1 + sqrt(10) + 2*sqrt(810)) + 3.
sqrt(3)/3 + 3
Simplify (sqrt(44)*2)/sqrt(4) + sqrt(11) + ((sqrt(44)/sqrt(2) - sqrt(22))/sqrt(2))**2 + 5*sqrt(275) + 0.
28*sqrt(11)
Simplify ((sqrt(38)/sqrt(2)*-1)**2 - -2*(0 + sqrt(19))**2) + (-5*(sqrt(1900) + 0) + (sqrt(1900)*2 + sqrt(1900))*-5)**2.
760057
Simplify sqrt(567) + -3 + 4 + 1*sqrt(567)*-2.
-9*sqrt(7) + 1
Simplify (2 + -2 + 1 + sqrt(98) + 5 + 0 + sqrt(98) + 1)**2.
196*sqrt(2) + 441
Simplify (6*(sqrt(125)/sqrt(5) - sqrt(25)))/((sqrt(180)/sqrt(3))/sqrt(12)) + 4.
4
Simplify -5*(2*sqrt(117)*-5*-6)/((sqrt(216) + (sqrt(216) - sqrt(216)*2) + sqrt(216))/sqrt(6)).
-150*sqrt(13)
Simplify (sqrt(153)/sqrt(3)*2*-5)/(4*sqrt(18)/(sqrt(54) + sqrt(6))).
-10*sqrt(17)
Simplify (5*(1 + sqrt(2448) + 0) + 2)**2*-6.
-367494 - 5040*sqrt(17)
Simplify (sqrt(882) - 1*sqrt(882)*-1)/((4*1*sqrt(81) + sqrt(81) - sqrt(81))/sqrt(9)).
7*sqrt(2)/2
Simplify 1*-2*(-2 + 2*sqrt(304)*-5*-3).
-240*sqrt(19) + 4
Simplify (-3*((sqrt(162) - sqrt(162)*-3*4 - sqrt(162))*-6 + -4))**2.
46656*sqrt(2) + 7558416
Simplify -1 + 5 + ((-5 + -1*sqrt(891))**2 - sqrt(891)) + 5.
81*sqrt(11) + 925
Simplify (1*sqrt(112)*6 + 3 + -5)**2*-1 + -5.
-4041 + 96*sqrt(7)
Simplify -4*(sqrt(1300) + 3) + -4*sqrt(1300) + 5.
-80*sqrt(13) - 7
Simplify -4 + (3*6*3*sqrt(1377)*1*-5)**2.
100383296
Simplify ((sqrt(1053) + 1 - sqrt(1053))*4*4 + 0 + sqrt(1053) + 0 + -1)**2*-5.
-6390 - 1350*sqrt(13)
Simplify ((sqrt(120) + sqrt(120)*2)/sqrt(6))/(sqrt(100)*-2).
-3*sqrt(5)/10
Simplify 6*(2*sqrt(2736)*-4)**2*6.
6303744
Simplify (2*-2*sqrt(156) - sqrt(156))/(6*sqrt(588)).
-5*sqrt(13)/42
Simplify ((sqrt(224)/(1*sqrt(4)))/sqrt(8))**2 + (sqrt(7) + -1 + 5 - (sqrt(448) - (sqrt(448) + 0 + sqrt(448))**2)).
-7*sqrt(7) + 1803
Simplify (2*(sqrt(475) + sqrt(475)*1) + 0)**2*3.
22800
Simplify -3*sqrt(21)/sqrt(847) - -2*(sqrt(300) - (-5 + sqrt(300))).
-3*sqrt(3)/11 + 10
Simplify ((-3*sqrt(396) + 0 - sqrt(396) - (0 + sqrt(396))*-3)*-6)**2.
14256
Simplify sqrt(22)/(1*sqrt(10)/sqrt(5)) - sqrt(99)/(sqrt(1089)*-4).
45*sqrt(11)/44
Simplify (-1 + 5 + 0 + sqrt(208) + -6*(sqrt(208)*2 - sqrt(208))*-5)**2.
992*sqrt(13) + 199904
Simplify 3 + 4*(4*(4 + sqrt(200) + sqrt(200) + -1))**2.
7680*sqrt(2) + 51779
Simplify (sqrt(30)/sqrt(27)*5)/(sqrt(2) - (sqrt(98) - (1*sqrt(98) + sqrt(98) + sqrt(98) + sqrt(98))) - (sqrt(2) + sqrt(14)/(1*sqrt(7)))).
sqrt(5)/12
Simplify (sqrt(187) + sqrt(187) + 3*sqrt(187)*-1 + ((sqrt(187) + sqrt(187) + sqrt(187)*-2 + sqrt(187))*5 - sqrt(187) - sqrt(187)))/(sqrt(110)/(2*sqrt(10))*4).
sqrt(17)
Simplify (-3*(-5 + (5 + 1 + sqrt(847) - sqrt(847))))**2.
9
Simplify (sqrt(10)/sqrt(2) + -4)**2 + -5 - 5*(sqrt(180) + 1).
-38*sqrt(5) + 11
Simplify ((-4*(sqrt(102) - 1*sqrt(102)))/sqrt(2))/(sqrt(15)/(sqrt(25)/sqrt(5)) + (sqrt(72)/sqrt(4))/sqrt(6)).
0
Simplify (3*(((1 + sqrt(19))*4 - (-1 + sqrt(19))*1) + sqrt(57)/sqrt(3)*-5 + 6*sqrt(19)*1))**2.
360*sqrt(19) + 2961
Simplify ((sqrt(624)/(sqrt(12) - sqrt(48)))/((-4*sqrt(8))/sqrt(2))*5)**2.
325/16
Simplify -3*(-2 + sqrt(95)/sqrt(5) - (sqrt(19) + -2 + 5)).
15
Simplify ((5 + 1*sqrt(7) - sqrt(14)/(sqrt(6)/sqrt(3)) - (sqrt(14)/sqrt(98) + -2))*-5)**2.
-50*sqrt(7) + 8600/7
Simplify (sqrt(300) + sqrt(300) + -3*(-2*sqrt(300) + sqrt(300)) + sqrt(300))/(-1*sqrt(18)/sqrt(3) - sqrt(96)*-1).
10*sqrt(2)
Simplify (3 + -3 + sqrt(243)*-2)**2 - ((sqrt(243) + (-1*(1*sqrt(243) - sqrt(243)) - sqrt(243) - sqrt(243) - sqrt(243)))*-4)**2.
-14580
Simplify (-6*(5 + 5*6*(2*sqrt(832) + -4)))**2.
-3974400*sqrt(13) + 108303300
Simplify (5*(-5 + -2*sqrt(11)) - -5*sqrt(55)/sqrt(5)*5)**2.
-750*sqrt(11) + 3100
Simplify (sqrt(119)*2*-4 + (sqrt(119) - 5*((sqrt(119)*-2 - sqrt(119)) + sqrt(119))))/(sqrt(77)/(6*-2*sqrt(11))).
-36*sqrt(17)
Simplify (sqrt(70)*-1*-5 + -3*-2*sqrt(70))/(sqrt(70)/(1*sqrt(7)*4)).
44*sqrt(7)
Simplify ((sqrt(104) + sqrt(104) + (5*sqrt(104)*-2 - sqrt(104)))/(-4*sqrt(8)*2)*5)**2.
26325/64
Simplify (4*sqrt(11)*1*3*-6)**2 - (sqrt(891) + (sqrt(891) - (-5 + (sqrt(891)*-2 - sqrt(891)))) - -2*sqrt(891)*2)**2.
-15172 - 810*sqrt(11)
Simplify ((5*sqrt(70)*1 - (s
|
{
"pile_set_name": "DM Mathematics"
}
|
What is 560074151 to the power of 1/9, to the nearest integer?
9
What is 102071735 to the power of 1/3, to the nearest integer?
467
What is 2042209449 to the power of 1/2, to the nearest integer?
45191
What is 1140608331 to the power of 1/10, to the nearest integer?
8
What is 711595719 to the power of 1/2, to the nearest integer?
26676
What is the tenth root of 345606037 to the nearest integer?
7
What is the cube root of 1002162792 to the nearest integer?
1001
What is the third root of 50254562 to the nearest integer?
369
What is 745832804 to the power of 1/3, to the nearest integer?
907
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8980
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35431
What is the seventh root of 29159693 to the nearest integer?
12
What is 114130494 to the power of 1/9, to the nearest integer?
8
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694
What is 714794836 to the power of 1/5, to the nearest integer?
59
What is 23622488 to the power of 1/7, to the nearest integer?
11
What is 448157418 to the power of 1/7, to the nearest integer?
17
What is 1050919616 to the power of 1/6, to the nearest integer?
32
What is 218566110 to the power of 1/2, to the nearest integer?
14784
What is 407275402 to the power of 1/3, to the nearest integer?
741
What is 3805348225 to the power of 1/2, to the nearest integer?
61688
What is 3451145485 to the power of 1/9, to the nearest integer?
11
What is the cube root of 122556225 to the nearest integer?
497
What is the tenth root of 2521844650 to the nearest integer?
9
What is 441362948 to the power of 1/3, to the nearest integer?
761
What is the square root of 94805348 to the nearest integer?
9737
What is 171127864 to the power of 1/3, to the nearest integer?
555
What is the fifth root of 349951591 to the nearest integer?
51
What is 1934184165 to the power of 1/9, to the nearest integer?
11
What is 336964970 to the power of 1/3, to the nearest integer?
696
What is the eighth root of 376156927 to the nearest integer?
12
What is the sixth root of 24237090 to the nearest integer?
17
What is 2527972050 to the power of 1/2, to the nearest integer?
50279
What is the square root of 21127844 to the nearest integer?
4597
What is 95678071 to the power of 1/6, to the nearest integer?
21
What is the eighth root of 440546569 to the nearest integer?
12
What is 159424687 to the power of 1/2, to the nearest integer?
12626
What is the third root of 5812134820 to the nearest integer?
1798
What is the cube root of 23906578 to the nearest integer?
288
What is the fifth root of 22546898 to the nearest integer?
30
What is 2029568095 to the power of 1/3, to the nearest integer?
1266
What is the eighth root of 71509438 to the nearest integer?
10
What is 971568 to the power of 1/5, to the nearest integer?
16
What is the third root of 53556156 to the nearest integer?
377
What is 1359632437 to the power of 1/2, to the nearest integer?
36873
What is 95384125 to the power of 1/3, to the nearest integer?
457
What is 713310161 to the power of 1/7, to the nearest integer?
18
What is the cube root of 37307439 to the nearest integer?
334
What is 213708292 to the power of 1/4, to the nearest integer?
121
What is the square root of 300033679 to the nearest integer?
17321
What is the square root of 11542244 to the nearest integer?
3397
What is the square root of 289043958 to the nearest integer?
17001
What is 3419221426 to the power of 1/3, to the nearest integer?
1507
What is the ninth root of 22979246 to the nearest integer?
7
What is the third root of 128427963 to the nearest integer?
505
What is the square root of 9583054 to the nearest integer?
3096
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8618
What is the third root of 121351535 to the nearest integer?
495
What is 1373785574 to the power of 1/2, to the nearest integer?
37065
What is 60914253 to the power of 1/2, to the nearest integer?
7805
What is 92522017 to the power of 1/10, to the nearest integer?
6
What is 85286893 to the power of 1/2, to the nearest integer?
9235
What is the third root of 588746919 to the nearest integer?
838
What is 216931609 to the power of 1/10, to the nearest integer?
7
What is 784791453 to the power of 1/2, to the nearest integer?
28014
What is 116100900 to the power of 1/3, to the nearest integer?
488
What is 85833156 to the power of 1/10, to the nearest integer?
6
What is 266665662 to the power of 1/3, to the nearest integer?
644
What is the eighth root of 191374412 to the nearest integer?
11
What is 25494284 to the power of 1/3, to the nearest integer?
294
What is the third root of 3537666766 to the nearest integer?
1524
What is 337226430 to the power of 1/2, to the nearest integer?
18364
What is the square root of 110438879 to the nearest integer?
10509
What is the tenth root of 140697538 to the nearest integer?
7
What is the ninth root of 8117574 to the nearest integer?
6
What is the square root of 1554793478 to the nearest integer?
39431
What is the third root of 4312740445 to the nearest integer?
1628
What is the eighth root of 55102009 to the nearest integer?
9
What is 2453480178 to the power of 1/3, to the nearest integer?
1349
What is the eighth root of 934152923 to the nearest integer?
13
What is the square root of 20015704 to the nearest integer?
4474
What is the cube root of 799162369 to the nearest integer?
928
What is 25283649 to the power of 1/3, to the nearest integer?
294
What is 300427470 to the power of 1/2, to the nearest integer?
17333
What is 424564155 to the power of 1/8, to the nearest integer?
12
What is 151933304 to the power of 1/2, to the nearest integer?
12326
What is 739644833 to the power of 1/2, to the nearest integer?
27196
What is the eighth root of 9894029 to the nearest integer?
7
What is 815702472 to the power of 1/6, to the nearest integer?
31
What is the ninth root of 702283964 to the nearest integer?
10
What is 1401227974 to the power of 1/6, to the nearest integer?
33
What is the sixth root of 632250026 to the nearest integer?
29
What is 3347895439 to the power of 1/4, to the nearest integer?
241
What is the square root of 36145222 to the nearest integer?
6012
What is 418066982 to the power of 1/10, to the nearest integer?
7
What is 41090095 to the power of 1/4, to the nearest integer?
80
What is the cube root of 55049775 to the nearest integer?
380
What is 25300399 to the power of 1/2, to the nearest integer?
5030
What is the cube root of 873922359 to the nearest integer?
956
What is the cube root of 323190229 to the nearest integer?
686
What is the square root of 153157644 to the nearest integer?
12376
What is the cube root of 140439513 to the nearest integer?
520
What is the fourth root of 127895145 to the nearest integer?
106
What is 162356766 to the power of 1/2, to the nearest integer?
12742
What is 608437082 to the power of 1/2, to the nearest integer?
24667
What is the sixth root of 165876177 to the nearest integer?
23
What is the cube root of 2712586950 to the nearest integer?
1395
What is 43111053 to the power of 1/2, to the nearest integer?
6566
What is the square root of 59429006 to the nearest integer?
7709
What is the cube root of 39018253 to the nearest integer?
339
What is the cube root of 45781688 to the nearest integer?
358
What is the fifth root of 1034449892 to the nearest integer?
64
What is the third root of 1992208300 to the nearest integer?
1258
What is the square root of 3485830351 to the nearest integer?
59041
What is 101492321 to the power of 1/3, to the nearest integer?
466
What is the third root of 265002444 to the nearest integer?
642
What is the fifth root of 477109149 to the nearest integer?
54
What is 546719442 to the power of 1/3, to the nearest integer?
818
What is the square root of 110626769 to the nearest integer?
10518
What is the third root of 80114247 to the nearest integer?
431
What is the tenth root of 43909587 to the nearest integer?
6
What is the cube root of 2012589076 to the nearest integer?
1263
What is the square root of 272254128 to the nearest integer?
16500
What is the eighth root of 25344224 to the nearest integer?
8
What is the square root of 288297067 to the nearest integer?
16979
|
{
"pile_set_name": "DM Mathematics"
}
|
1?
15
Let t = 4 + -3. Let g be 2/12 - (-1)/3. What is the biggest value in 3, g, t?
3
Let n = -1.7 - -4.7. Let o = 7 - 7.8. Let b = o + 0.4. What is the smallest value in b, 2, n?
b
Let d = -5/12 - -1/6. Let s be (10/135)/(1/(-3)). What is the second smallest value in 1, d, s?
s
Let g = -12 + 14. Which is the second smallest value? (a) 0.4 (b) -1/7 (c) g
a
Let d = -1 + -1. Suppose -600 = j + 4*j. Let g = -602/5 - j. What is the smallest value in 2, g, d?
d
Suppose r - 4*r + 61 = 4*p, r + p - 19 = 0. Let h = 58 + -53. Suppose 0*f - h*f = r. Which is the third biggest value? (a) 3/8 (b) f (c) 4
b
Let t = 69/5 + -419/30. Which is the smallest value? (a) t (b) -3/5 (c) 0
b
Let j = 11 - 15. Let x = j + 0. Let g = -174 + 173.6. What is the biggest value in x, 3, g?
3
Let l = -0.05 - 0.15. Let i(m) = -m + 7. Let j be i(7). Which is the second biggest value? (a) l (b) j (c) -1
a
Let u = -0.09 + 5.09. Which is the third smallest value? (a) -4 (b) u (c) -4/7
b
Let x = 0.2 - 0.1. Let l = -21 - -19. Which is the third smallest value? (a) x (b) l (c) 2
c
Let y = 5 + -3. Let s be 3 - -73*1/(-15). Let i = 16/5 + s. Which is the third biggest value? (a) y (b) i (c) -0.3
c
Let r = 83/2 + -41. What is the smallest value in r, -1/2, 0?
-1/2
Let i = 2798/231 + -164/33. Let g = 7 - i. Let k = 0.09 + -0.09. Which is the second smallest value? (a) -0.3 (b) g (c) k
b
Let m = -1.6 + 0.6. Let a = m - -2. What is the smallest value in 6/7, a, 2?
6/7
Let i = -4 + 6. Suppose -3*j + 15 = 0, i*n + 5*j + 1 = 24. Let f be 0 + n/3 + 0. Which is the second smallest value? (a) -4 (b) f (c) -2
c
Let y = -7.9 + 8. Which is the biggest value? (a) -0.4 (b) y (c) -0.1
b
Let v be (27/(-2))/(-4 - -7). What is the smallest value in v, 1/2, 3?
v
Let h = -34.8 - -35. Which is the third biggest value? (a) -0.4 (b) -0.1 (c) 0.4 (d) h
b
Let d = 1.996 - -0.004. What is the fourth smallest value in -3, -0.1, d, -0.2?
d
Let t = 22 - 21.9. What is the biggest value in t, -0.1, -16?
t
Let p(y) = -y. Let u be p(3). Let x be -1*(-3 - 351/(-118)). Let q = -209/1062 - x. What is the second smallest value in -0.3, q, u?
-0.3
Let s = 0.075 + -5.975. Let l = -6 - s. Which is the second smallest value? (a) l (b) 0 (c) -2/3
a
Suppose 0 = z - m + 4*m + 11, -5*m - 16 = 4*z. What is the smallest value in z, 0.14, 1/5, -1/5?
-1/5
Let c = 0.8 - 2.3. Let y = 0.5 + c. Let h = -4 - -4.3. What is the second biggest value in h, y, -5?
y
Let t = -0.016 - 2.984. Let j = -0.03 + -4.97. What is the third smallest value in 1/7, t, j?
1/7
Suppose 10 - 4 = 4*b - 2*c, 2*b + 4*c = 18. What is the third biggest value in 0.2, b, -6?
-6
Let l = -2 + 1.5. Let m = l - -0.1. What is the second smallest value in m, -5, 5?
m
Let w = -3 + 7. Let o = -3 + 4. Let x = -0.2 - 0. What is the biggest value in o, w, x?
w
Let w = -0.19 + 0.09. Let g = -84 + 177/2. Let v = -5 + g. Which is the biggest value? (a) w (b) v (c) -0.4
a
Let q be ((-2)/(-10))/(4/10). Let k(l) = -l**2 + 10*l + 44. Let y be k(13). Which is the third smallest value? (a) y (b) q (c) 2/5
a
Let g = -0.1 + 0.4. Which is the biggest value? (a) 4 (b) -1/2 (c) g
a
Let j = -1 + 4. Let v = -6.2 - -0.2. Let g = j + v. Which is the second smallest value? (a) 2/7 (b) 3/4 (c) g
a
Suppose -2*c = -4*l + 32, 11 = l + 2*c - 4*c. Let x = 7 - l. What is the third biggest value in -0.3, x, -4?
-4
Let w = 0.25 - 1.25. What is the smallest value in w, 2, 0.4?
w
Let w = 0.24 - -0.06. Let a = -12.3 - -12. Let k = -1 - -0.5. What is the third biggest value in k, w, a?
k
Let m = 76 - 76.2. Which is the fourth smallest value? (a) -0.1 (b) m (c) -0.3 (d) 25
d
Let z be (-42)/4*117/(-5346). Let t = 2/99 + z. Let i = -3 - -2.7. What is the smallest value in -1/6, i, t?
i
Let k = -2 - -1. What is the second smallest value in -5/3, -5, k?
-5/3
Let s be 6/(-9)*75/20. Let r(p) be the third derivative of p**4/24 + p**3/2 - 2*p**2. Let v be r(0). What is the smallest value in s, -0.5, v?
s
Let u = -1 + 1.4. Let i = -0.19 - -0.19. Let x = i - u. Which is the second biggest value? (a) 2 (b) 3/8 (c) x
b
Suppose -g - 3*r - 16 = 0, 5*r + 1 = -4*g - 28. Let h = 0.04 + -2.04. Let t = -1 - h. Which is the biggest value? (a) g (b) 5 (c) t
b
Let q = 4672/19 + -246. Let p = -0.33 - -2.33. Which is the second biggest value? (a) p (b) q (c) -2
b
Let m be (-2)/1 - 0 - -2. Let o be (1 - -3)/(3 - 4). What is the third biggest value in 2, m, o?
o
Let z = 1 - 1.2. Which is the biggest value? (a) z (b) -4/5 (c) -5
a
Let r = 3.2 - 17.2. Let i = r + 9. Which is the second smallest value? (a) i (b) 5 (c) 2/3
c
Let s = 17 - -1. Let i be s/36 + (-1)/(-6). Which is the third biggest value? (a) -5 (b) 0.6 (c) i
a
Let o = -0.6 + 0.6. Let q = 7 + -11. Let j = q + 6. What is the third smallest value in j, o, 0.5?
j
Let w be (-70)/(-165) - (-3)/(-9). What is the third biggest value in w, 3, -1/3, 2?
w
Let w = 0.7 + -1. Let i = 7/10 + -1/5. Let t = -1/106 + 533/318. Which is the third smallest value? (a) i (b) t (c) w
b
Let x = 2.8 - 2.6. What is the third smallest value in -0.4, x, -4?
x
Let f = 0.001 + -0.371. Let w = f + 0.07. Let d = 0 + 2. What is the second smallest value in w, 3, d?
d
Let t = 3.8 - -1.2. Let u = -5 + 8. Suppose v = u*v. Which is the third smallest value? (a) -0.1 (b) t (c) v
b
Let t = 0.2026 + -0.0026. Let d = 6.12 - 6. Which is the second biggest value? (a) d (b) -1 (c) t
a
Let w be 63/(-6) - (-3)/2. Let l = -13 - w. What is the third biggest value in l, 0.3, -5?
-5
Let d = 0.353 + 0.047. Which is the smallest value? (a) d (b) 0.3 (c) 6
b
Let d = 5 - 6. What is the biggest value in 3, d, 0.2?
3
Let l be (-6)/8*(-2)/(-6). Let f = 0.05 + 0.35. Which is the second smallest value? (a) l (b) f (c) -0.1
c
Let i = 5.5 - 19. Let l = i + 14. Which is the biggest value? (a) l (b) -0.5 (c) 0
a
Let t = -140 - -137. What is the biggest value in 9, -0.1, t?
9
Let s(l) = -l**2 + l + 4. Let p be s(0). Let q be p/((-3 - -2) + 3). Which is the second smallest value? (a) 0.3 (b) 5 (c) q
c
Suppose -5*w + 4 = -16. What is the fourth biggest value in w, 1/5, 0, -3?
-3
Let s = 417 + -6257/15. Let i = -0.3 + -0.2. What is the third biggest value in -2, s, i?
-2
Let s be -4*(4 - (-18)/(-4)). Which is the second smallest value? (a) 2/3 (b) 4 (c) s
c
Let l be 10/35 - (-9)/(-105). Which is the fourth smallest value? (a) -1/2 (b) l (c) 0.1 (d) 0
b
Let t = 17 - 12. Which is the smallest value? (a) 0.04 (b) 0 (c) t
b
Let n = -6.4 + -1.6. Let q = -0.35 + 3.35. Let b = n + q. What is the biggest value in -1/3, -1/8, b?
-1/8
Let z = -67 + 59. What is the fourth biggest value in -1/7, 4, z, 1/4?
z
Let r be 3 - 2/(-24)*-58. Let j = r - -5/3. Let h = 0.2 - 0.4. What is the biggest value in -2, h, j?
j
Let o = -39.79 + 40. Let q = 4.49 + o. Let z = q - -0.3. What is the biggest value in z, 2/7, -1/9?
z
Let x = -0.12 + 0.14. Which is the second smallest value? (a) x (b) -2 (c) -3
b
Let j = -0.2 - -0.1. Which is the fourth smallest value? (a) -5 (b) -0.5 (c) j (d) 4
d
Let d = 2 + -12. Let g = d - -12. Which is the smallest value? (a) -1 (b) g (c) 3
a
Let p = -0.1 + 0.3. Suppose 8*q - 3*q - 25 = 0. Suppose 2 = 2*k + 4*h - 3*h, -5*h - 5 = q*k. Which is the biggest value? (a) 4 (b) p (c) k
a
Let r = 5.6 - 6.1. Let x = -3.2 - 0.8. Which is the second biggest value? (a) -0.3 (b) r (c) x
b
Let u = 461 - 4153/9. What is the third smallest value in 1, -4, u, -0.16?
-0.16
Let o = 8543/18 - 475. Let t = o - -131/198. Which is the biggest value? (a) t (b) -4 (c) -3
a
Let r = -2 - -2.08. Let d = r + 0.12. Which is the biggest value? (a) -0.2 (b) d (c) 1
c
Let w = -46 - -51. Let z = 5 + -2. Let u = -2/81 + -152/405. What is the third smallest value in u, z, w?
w
Let s = 36/5 + -7. Let c = -4.02 + 0.02. Let z = 0.4 + 0. What is the second smallest value in z, c, s?
s
Let t = 104.94 + -101. Let d = t - -0.06. Let g be (106/(-72) - (-2)/9) + 1. Which is the biggest value? (a) -5/2 (b) d (c) g
b
Let w = 382/5 + -77. Let m = 8 + -3. Suppose -15 = 4*d - 5*s, 3*d - 7*d - m*s - 25 = 0. What is the third biggest value in 2, d, w?
d
Let p = -0.5 - -0.28. Let n = p - -0.24. Which is the smallest value? (a) n (b) -5 (c) -3
b
Let c(m) = -6*m
|
{
"pile_set_name": "DM Mathematics"
}
|
g s is positive.
s**(803/5)
Simplify (((q/(q/(q**13/q)))/q**(1/5))/(q**12*q**(-8/5)*q))**(-3/5) assuming q is positive.
q**(-6/25)
Simplify (((x**(1/21)/x**(-2/31))**(3/28))**(4/5))**(9/8) assuming x is positive.
x**(657/60760)
Simplify (p**(-2)*p**(-5/2)*p**(5/2)*(p*(p/(p/(p*p**(1/3)*p)))/p)/p)/((p**(-6)*p*p**(-1/12))/((p**(-1/5)*p)/(p*(p/p**(4/7))/p*p))) assuming p is positive.
p**(1591/420)
Simplify ((((c*c*c**1*c)/c)/c)**(-2/7)/(c**(1/4))**(-34))/(c**(-1/5)/c**(1/12))**(9/7) assuming c is positive.
c**(1161/140)
Simplify ((u/u**(-2/7))/u**(-1))**(4/25)*u*u**(-3/5)*u/(u/(u/u**(4/5)))*((u**(-1)*u)/u)**(27/5) assuming u is positive.
u**(-776/175)
Simplify ((l**(-5/6))**(-1/28)*(l**9*l)/l**(-3))**(4/9) assuming l is positive.
l**(2189/378)
Simplify (a**(-4/9)/(a/(a*a/a**(-4)*a*a))*(a**(-1/3)*a)/((a/(a/(a*a**(2/13))))/a))/((a*a/a**(-1/4))**0*a/a**(-6)*a**(-3)/a) assuming a is positive.
a**(476/117)
Simplify f**(-1/30)*(f*f**(-6/7)/f*f)/f*(f/(((((f*f/f**(6/11))/f*f)/f*f)/f)/f))/f*f**(1/5) assuming f is positive.
f**(-67/462)
Simplify (a*a*(a**(-2/11)*a)/a*a*a**(-5)*a)/((a*a**(1/4))/a)**(35/6)*(a**(-2/5)/(((a*a/a**(1/2))/a)/a))**(-39) assuming a is positive.
a**(-8633/1320)
Simplify ((h**(11/2)*h**(-8/7))**(-2/3))**(-10/11) assuming h is positive.
h**(610/231)
Simplify ((p*p**(-2)/p)**(3/16))**(-2/109)*(p**(2/29)/p**(-3/8))**3 assuming p is positive.
p**(33855/25288)
Simplify (p/p**(2/49)*p*(p/(p/(p**(-1/15)*p))*p)/p)**(29/3)/((p*p**(2/9))/(p**(-5)*p*p)*p**(-1/4)/p**(-2/5)) assuming p is positive.
p**(23117/980)
Simplify (b**(3/7)/(b**(4/5)/b))/(b*b**(-2/7)/b*b)**(2/9)*b**4*b**(1/7)*b**(-7)/(b/(b/b**3)*b) assuming b is positive.
b**(-2012/315)
Simplify (((u**4)**(-47)*(u**0*u)**5)**(-8/7))**(-5/6) assuming u is positive.
u**(-1220/7)
Simplify (n**13*n/n**(-8)*(n/(n/(n/(n/(n*n/(n*n*n**19/n)*n)))))/(n*n/(n/(n**21/n*n)*n)))**(4/45) assuming n is positive.
n**(-64/45)
Simplify ((z**(-14)*z)**10*z**(-1/9)*z**(-28))**(-9) assuming z is positive.
z**1423
Simplify ((((h/(h**3/h)*h)/h*h*h**(-11))/((h*h**3)/(h*h*h*h**(-1/6)*h*h)))**(-4/11))**(-2/59) assuming h is positive.
h**(-244/1947)
Simplify (x*(x/x**(-3/4))/x*x*x**5)/(x/(x**(1/8)*x)*x**(-2/7)*x)*(x**(3/2)*x/(x/(x*x/(x/((x*x/(x/x**(-1/2)))/x)))))/(x*(x**2/x)/x*x)**9 assuming x is positive.
x**(-495/56)
Simplify (((a**(-22)*a)/a*a/(a*(a/(a*a**(-12/7)*a))/a))/(a**(-6)*a**4))**(-16) assuming a is positive.
a**(2208/7)
Simplify (q/q**(-9/2)*((q**(1/11)/q)/q)/q*((q*q**(-4/11))/q*q)/q**15)**(13/3) assuming q is positive.
q**(-3367/66)
Simplify ((h/h**(2/9))**49)**39*(h/h**(-2)*h*h**(-1/3)/h)/(h/(h**(-1/4)/h))**(2/43) assuming h is positive.
h**(128045/86)
Simplify (t*t**(-19)*t*t*t**(-3/2)*t*(t/(t/t**(-4/15)))**(-13))**39 assuming t is positive.
t**(-5083/10)
Simplify (q/(q/q**1))**(-16)/(q**(-1))**(11/4)*(q**(3/4)*q*q*q/q**2)**(-39) assuming q is positive.
q**(-163/2)
Simplify (x/((x**(-1)*x)/x)*x**6/x)/(x/(x*x**(1/2)))**(-30)*(x**1*x*x**(-1)/x)/(x/(x**(2/3)/x))**33 assuming x is positive.
x**(-52)
Simplify t**(1/9)/t**(-1)*t**(4/3)/t*t*t*t/t**2*(t*t**(-6/11)*(t/(t/(t*t/(t**(-1/2)*t*t*t))))/t)/(t*t*t/t**(-1))**(-19) assuming t is positive.
t**(15325/198)
Simplify (g**(-1/10)*g**(-1/5))**(-46)*(g**(-5/2)*g**7)**(6/7) assuming g is positive.
g**(618/35)
Simplify ((q*q**(2/3))/q**(-5))/((q**9/q)/(q/(q*q*q**(-7))))*q/(q*q/(q**(-2/3)/q*q))*q**(-9)*(q*q**(6/7)*q)/(q/q**(-3)) assuming q is positive.
q**(-50/7)
Simplify ((w*(w**(-5/3)/w)/w)/(w/(w*w*((w/((w/(w/w**(-2/15))*w)/w))/w)/w)*w))/(w**(-1/2))**23*((w/(w/(w/w**1*w)))**(-2/7))**(-35) assuming w is positive.
w**(539/30)
Simplify (((m/m**(-3/4))/m)/m)**(-23/6)*(m**(-2/33))**(3/11) assuming m is positive.
m**(2735/2904)
Simplify ((v**4*v)/(v*v**(5/3)))**(16/5)/((v**(-3))**19)**(1/66) assuming v is positive.
v**(2749/330)
Simplify ((d**35*d**(-1/9))**38)**(-9) assuming d is positive.
d**(-11932)
Simplify ((c*c**(-1))**(-32)*c*c**(-3/2)*c**(-2/23)/c)/(c**(3/4)/c*(c**5*c)/c*c)**47 assuming c is positive.
c**(-25009/92)
Simplify ((b**(-2))**(-32))**(-28)/((b**(-2))**(3/16))**(17/5) assuming b is positive.
b**(-71629/40)
Simplify (f**(-11)*f*f**(-3/2))**(28/5)/(((f*f**1)/f)**(-11)/(f/f**(2/3))**(-35)) assuming f is positive.
f**(-976/15)
Simplify (((v*(v*v**(-1))/v*v*v)/v*v*v)**(9/8)*v/(v**(2/5)*v)*v*(((v**(1/2)*v)/v)/v)/v*v)/(v*v**(2/9)*v*v**8)**(-7/5) assuming v is positive.
v**(6403/360)
Simplify x**(-8)*(x*x*x**(-4))/x*(x/(x/((x**7/x)/x*x)))/x**(-4/11)*(x*x**0)/x**(-1/8)*((x/x**2)/x*x)**(-2/57) assuming x is positive.
x**(-17437/5016)
Simplify (x**9/x*x*x*x**4)**(-29)/((x**(1/4))**(-2/133))**(-4/37) assuming x is positive.
x**(-1997928/4921)
Simplify (((q**(-8)/q)/(q/(q/(q/q**7)*q)))/(q**7/(q/q**(-1/5))))/(((q**0/q)/q)**48/((((q/q**(-1/12))/q*q)/q)/((q**(4/9)*q)/q))) assuming q is positive.
q**(15811/180)
Simplify ((t**(-12))**35/(t**22/((t*t**(-22))/t)))**(-4/5) assuming t is positive.
t**(1856/5)
Simplify (((a*(a*((a*a**0*a)/a)/a*a)/a*a)/a)/a*a**(2/11)/a*(a*(a*a**(1/3))/a*a*a)**27)/((a/(a**(4/5)/a))/(a**(2/9)*a))**(-47) assuming a is positive.
a**(44123/495)
Simplify (b**9/b*b*b/b**(-22)*(b**17*b)/b**17)**(-4) assuming b is positive.
b**(-132)
Simplify ((g**(4/3)*g)**(2/7)/((g*(((g**1/g)/g)/g)/g)/(g**14/g)))**(-45) assuming g is positive.
g**(-705)
Simplify ((((w/(w*w**(13/3)))/w**(-8))**(-2/59))**(-15))**(20/3) assuming w is positive.
w**(2200/177)
Simplify ((k*k**0/k*k)**24/(k**3*k**(-2/7)))/((k**(-1)*(((k*k/(k/k**(1/3)))/k*k)/k)/k)/(k**(-4)/((k*k**(2/7))/k))) assuming k is positive.
k**(56/3)
Simplify j*(j/(j/j**4*j*j))/j*j**(1/3)*j*j**(2/3)*j/j**(-5/4)*(j**(-1/3))**(11/4)*((j**(-1)*j)/j)**(-26) assuming j is positive.
j**(94/3)
Simplify ((p/p**(21/4))/(p/(p/p**(-25))))/((p/(p**15/p))/p)**(-13) assuming p is positive.
p**(-645/4)
Simplify (n**(4/7)/((n/((n**(-8)/n)/n))/n)*n**0*n/n**4*n)/((n*(((n*n/n**7)/n*n)/n)/n)/n*(n**(-2/27)*n)/n)**(-2/57) assuming n is positive.
n**(-125794/10773)
Simplify ((l*l**(-5))/l*l/(l/((l**15*l)/l))*l**(-14)*l**3)**(-44) assuming l is positive.
l**44
Simplify (o*o/(o**11/o)*o**7*o)**(-2/5)/(o/(o*o**(-3))*o**(-2/19)/o)**(-39) assuming o is positive.
o**(1404/19)
Simplify ((z**(-5)*z*z**1)/((z/(z*z/(z**(-6)*z*z)))/((((z**(-8)/z)/z)/z)/z)))**(-1/28) assuming z is positive.
z**(5/14)
Simplify ((p*p**(2/5)/p)**(-48))**35*((p/(p**(-2/5)/p))**(6/5))**(-47) assuming p is positive.
p**(-20184/25)
Simplify (((r*r**8)/(r/r**(3/2))*(r**0/r)/(r/((r/r**(-7)*r)/r)*r))**(5/11))**21 assuming r is positive.
r**(3045/22)
Simplify ((m/(((m*m/(m/m**2))/m)/m)*m)/m**9*(m**(1/3)*m)**(-18))/(((m/m**(13/4))/m)/m**(-8))**(-27/2) assuming m is positive.
m**(257/8)
Simplify (q/q**(1/7)*q*q**21*((q/q**(-2/15)*q)/q)**(14/9))**(1/18) assuming q is positive.
q**(11633/8505)
Simplify (q**(2/9)*q/(q*q/q**0)*(q/q**(-5))**(-2/37))**(-34) assuming q is positive.
q**(12478/333)
Simplify ((c/c**(-1))**(-2/11)*(c*c**1*c*c)/(c*c**(-2/15)*c))/((c**0)**(-32))**(-45) assuming c is positive.
c**(292/165)
Simplify (q/((q*q*q**(-1/3))/q))**(-2/63)*(q**1)**(-1/76)*((q/q**0)**(-1))**(3/49) assuming q is positive.
q**(-8543/100548)
Simplify (((z/(z/((z/z**(-3/11))/z*z*z*z)))/z**(7/6))/(z/z**(-30/11)*z*z**(-2/31)))**(6/17) assuming z is positive.
z**(-5231/5797)
Simplify (p**(-2)*p**3*p)**(-22/3)*(p/((p*p*p/p**(-2/9))/p*p))/(p**(5/2)*p)*(p/(p*p**(1/3)*p))**(2/31) assuming p is positive.
p**(-11425/558)
Simplify ((t**(2/7)/(t*t**(-3/8))*((t/(t/t**(-3)))/t)**(-16/11))**(-18))**35 assuming t is positive.
t**(-151875/44)
Simplify ((((k/((k*k**24)/k))/k)/(k/k**(-8)*k))/(k**19/((k**(-26)/k)/k)))**(10/7) assuming k is positive.
k**(-810/7)
Simplify (s**(-14)*s*(s**(7/5)/s)/s*(s*s**(-1))**(1/11))**(-8/13) assuming s is positive.
s**(544/65)
Simplify (x/x**(-1))**(14/9)/(x**1)**(2/115)*(x**4/(x*(x**0/x)/x*x))/(x/(x/(x**5/x))*(x**(-5)/x*x)/x) assuming x is positive.
x**(9412/1035)
Simplify (c/c**(-37))**(-6/5)/(c**0*c)**(-19) assuming c is positive.
c**(-133/5)
Simplify (w**0/w*w**(-6))/(w**(-2)/(((w*(w*(w*w/(w/((w**6/w)/w)))/w)/w)/w)/w))*(w*w*(w*w**(-1/12))/w*w/w**4)**(4/3) assuming w is positive.
w**(-31/9)
Simplify (((n/n**(-1))/n)**5*((n**(-1)/n)/n)**(-6))/(n**(-10)/((n*n**(-8)*n)/n))**(-8/5) assuming n is positive.
n**(91/5)
Simplify ((l**(3/2)/l*l)**40)**(-1/27)/(l**(4/5)*l*l**(-
|
{
"pile_set_name": "DM Mathematics"
}
|
e -v = q + 1 for v.
-5
Let k be 16/4 + 1 + -3. Let t be (0*3/6)/k. Solve -o + t*o = 5 for o.
-5
Let c(z) = z**2 + 6*z - 7. Suppose 0 = -2*w - 12 - 2. Let p be c(w). Let a be (-28)/(-6) - 4/(-12). Solve -b + p = a for b.
-5
Let q = 0 - -1. Let c = -20 + 0. Let y be 7/4 - 5/c. Solve 3*p - y = q for p.
1
Let c(m) = -m**3 - 5*m**2 + 6*m - 2. Let i be c(-6). Let q be (42/(-9))/(i/6). Solve 4*o - 2 = -q for o.
-3
Let t be (10/(-25))/((-1)/10). Suppose 9 + 11 = t*i. Suppose i*w + 45 = 2*z, -5*w + 3 = -8*w. Solve -z + 5 = -5*p for p.
3
Let g(o) = 5*o - 5*o**2 - 2 - 4*o**3 - o - 4 + 3*o**3. Let u be g(-6). Solve u*q = 2*q for q.
0
Let j(g) be the first derivative of -g**4/4 - 10*g**3/3 + g - 1. Let f be j(-10). Solve x = -0*x - f for x.
-1
Suppose 4*x = -12, -x = -5*p + 2*x + 19. Let l be (p - 1)*(-1 - -1). Let w be (1 - 3)*(l - 1). Solve -r + 3 = -w for r.
5
Let o be 2 + (-2)/(-2)*-2. Suppose -5*t + 10*t = o. Solve t = -6*c + 3*c for c.
0
Let d(k) = 0*k - 2*k - k**3 + 1 - 3 + 0*k**2 - 4*k**2. Let i be 10/3*12/(-10). Let z be d(i). Solve z*x - 3*x = 0 for x.
0
Let n be 1/1 - (1 - -2). Let p = 3 + n. Solve 2*z = p + 1 for z.
1
Let f = -49 + 105. Let x be 160/f*7/2. Solve d = -d + x for d.
5
Suppose -44 = -3*s - 44. Solve 3*z + s*z = 9 for z.
3
Let g = -2 - -2. Suppose s + g*s = 2. Solve -i - 4 = -s*i for i.
4
Suppose 1 = 3*j - 5. Let y(p) = 5*p - p**3 + 6*p**2 + 2 - p**j + 2*p**3. Let b be y(-3). Solve -2 = -b*d + 13 for d.
3
Let g = -1 - -6. Solve v + 16 = g*v for v.
4
Suppose -3*q + 9 = -3. Suppose 3*z + q = -2. Let x(n) = n + 4. Let j be x(z). Solve -c = 3 - j for c.
-1
Let k(y) = y**3 + 9*y**2 + 9*y + 12. Let z be k(-8). Let q(g) = g - 3. Let f be q(7). Solve 2*x = f*x - z for x.
2
Let p be (-4)/(-12)*12*1. Let q be 3 - (0 - p - -2). Let f = q - 4. Solve 0 = -5*i - f + 11 for i.
2
Let t be -6*1/(-33) - 128/(-22). Solve 5 = h + t for h.
-1
Suppose 0 = 6*n - 17*n. Solve n*g - 4*g = -12 for g.
3
Let n(m) be the first derivative of m**4/4 + 13*m**3/3 + 6*m**2 - 3. Let i be n(-12). Solve -h + 4 - 3 = i for h.
1
Suppose -5*j = 5*d, j - 5 + 1 = -2*d. Solve -m = d*m + 10 for m.
-2
Let w(q) = q**3 - 4*q - 3. Let r(a) = 19*a + 0*a**2 - 2*a + 13 - 5*a**3 - a**2. Let z(m) = 2*r(m) + 9*w(m). Let t be z(-2). Solve 8 = -t*j + 20 for j.
4
Suppose 2*p = 1 + 13. Solve -5*x = -13 - p for x.
4
Let j = 6 - -5. Let m = 16 - j. Solve -f - 3 = -m for f.
2
Let i be ((-32)/40)/(2/(-5)). Solve -i*s = 3*s for s.
0
Let b be 45/10*(-2)/3. Let a be 1 + b/(-6)*2. Solve 1 = -s + a for s.
1
Let f = 123 - 119. Solve -f*i + 2*i + 4 = 0 for i.
2
Let s(a) = 2*a**2 + a - 2. Let u be s(-2). Suppose 0*j - 62 = -4*f + j, -u*j + 37 = 3*f. Suppose p = 4*p - f. Solve 0 = -o + p*o + 4 for o.
-1
Let s = 5 + -3. Suppose 4*u = 2*t + s, 0*u + t = -2*u - 5. Let v = -1 - u. Solve -4*c + 5*c - 1 = v for c.
1
Let j(l) = 30*l. Let d(q) = -9*q. Let k(f) = -f. Let t(u) = -5*d(u) + 35*k(u). Let w(z) = -3*j(z) + 10*t(z). Let r be w(1). Solve h - 3*h = -r for h.
5
Let h(d) be the first derivative of d**2 - 5*d + 4. Let i be h(4). Suppose -2*g - 2*g = -8. Solve f = -i - g for f.
-5
Let d be -1*2*20/(-10). Suppose d*z - 9 = -i, -2*z + z = 5*i - 26. Let t(l) = -l**2 - 7*l. Let f be t(-6). Solve f = -i*x - 19 for x.
-5
Let h be 2420/150 - 2/15. Let d be (h/(-4) - -4)/1. Solve d = -k - k + 10 for k.
5
Let g = -2 + 4. Suppose -g*n = -n. Solve 0 = 5*v - n*v - 10 for v.
2
Suppose -4*n = 3*z - 9 - 8, -2*z = 5*n - 16. Solve 2*s - n + 0 = 0 for s.
1
Let r be (4 + 4)*(-1 + 3/2). Solve 5*g = r*g - 1 for g.
-1
Let c(b) = -2*b + 12. Let s be c(4). Solve -3*i = -s*i + 2 for i.
2
Let j = 5 - 1. Solve -4*v - 16 = -j for v.
-3
Suppose -7*p + 2*p = 0. Let z(a) = -a**2 + 6*a + 8. Let x be z(7). Let q = x - p. Solve c + q = 2 for c.
1
Let n(z) be the first derivative of z**5/20 - z**4/3 + 3*z**2/2 - 2*z - 3. Let d(o) be the first derivative of n(o). Let p be d(5). Solve 8 - p = 4*y for y.
-5
Let z(l) = l + 12. Suppose 8 = -4*c - 28. Let t be z(c). Solve k = -t*k for k.
0
Suppose -3*z = -0*z - 9. Suppose 0 = -z*l - 2*l. Suppose -2*g + 3 + 3 = l. Solve -3*d + g = -6 for d.
3
Suppose -20*l = -24*l + 8. Solve -l*t - 2*t - 16 = 0 for t.
-4
Suppose 6*s + 1 - 13 = 0. Solve -3*j = s*j - 5 for j.
1
Let u = -14 + -5. Let z = 1 - u. Solve 3*h + h + z = 0 for h.
-5
Let k(r) = -r**2 + r + 75. Let u be k(9). Let t = -1 + 3. Suppose t = -3*j + 8. Solve -20 = j*f + u*f for f.
-4
Let l(y) = 2*y**3 - 5*y**2 + 2*y + 1. Let v be l(3). Suppose -3*p = -4*w - v, 3 = 5*w + 8. Solve 0 = 4*b - 3*b - p for b.
4
Let m(j) = 2*j - 8. Suppose t = -2*g - 10, -g - g = 3*t + 10. Let k = 8 - t. Let p be m(k). Solve 3*r = r + p for r.
4
Let i be 0 - (4 + -2 + -5). Solve -i*m + 1 + 2 = 0 for m.
1
Let y(c) = c + 11. Let l be y(9). Suppose 2*z - 20 = 3*u, z - l = 3*u + u. Suppose -t + 25 = z*t. Solve -t = -4*r - 1 for r.
1
Suppose 4*p - 48 = 2*q + 18, q + 1 = 0. Solve 5*g - 4 = p for g.
4
Let l(b) = -b**2 + 3*b - 3. Let m be l(3). Let h be 3 + m - (1 - 11). Solve -4*p + 2*p = h for p.
-5
Suppose -2*h = -3*h. Let s be 1/(2/8 + h). Solve 9*g - 5 = s*g for g.
1
Let p = 10 + -6. Let j be -1 + (2 - 4/p). Solve 5*q - 4*q + 4 = j for q.
-4
Let r(f) = f**3 - 3*f**2 - 10*f + 7. Let y be r(5). Solve 2 - y = 5*k for k.
-1
Let f(y) = -y**2 - 5*y - 3. Let a be (-1)/2 + 7/(-2). Let i be f(a). Solve i - 6 = -5*r for r.
1
Suppose 4*i - 6 - 2 = 0. Suppose 8 = i*n - 4*f, -3*f + 1 = -4*n + 7. Solve n = 5*o + 2 + 8 for o.
-2
Let y(j) = -j**3 - 7*j**2 + 7*j - 5. Let r be y(-8). Let o be 21/4 + r/(-12). Solve 0 = -o*a - 9 - 6 for a.
-3
Let n be 4/18 - 4/18. Solve n = 5*p - 5 for p.
1
Let v = -9 - -9. Solve 5*t + 9 + 1 = v for t.
-2
Suppose m + 6 = v - m, -2*v + 2*m + 16 = 0. Let n = 10 - v. Solve l + 2 - 1 = n for l.
-1
Suppose 3*k - 70 = -5*d, -2*d + 0*d + 37 = 3*k. Let j(y) = -2*y**2 + 11*y + 10. Let p be j(6). Solve 3*t = -d - p for t.
-5
Suppose 0 = -5*f - 2*c + 20, -4*c + c = 0. Solve f*k + 2 - 22 = 0 for k.
5
Let u = 23 + -21. Solve u*k + 0 = -2 for k.
-1
Let n(q) be the second derivative of q**3/6 + 3*q. Let c be n(0). Solve c = -2*o - 6 for o.
-3
Suppose 0 = h - d - 1, 0*h + 2*d - 33 = -5*h. Let t(i) = 2*i + 2. Let u be t(h). Suppose -5 = 3*r - 5. Solve r*n = 3*n + u for n.
-4
Let p = 54 - 30. Let l = p + -14. Solve -2*v = -0*v + l for v.
-5
Let r be 2/(-6) - 10/(-3). Let a(z) = -2*z + 6. Let b be a(r). Solve -3 = -b*k - k for k.
3
Let h be 4 + -4 - (2 - (4 + -2)). Solve 5*y + 1 + 24 = h for y.
-5
Let v(u) = 4*u**2 - 5*u - 1. Let z be v(3). Solve -x + 6*x + z = 0 for x.
-4
Let r be -4 - -22*2/4. Solve -15 = -r*z + 4*z for z.
5
Let i = 15 - 11. Solve 5*g - 3*g = -i for g.
-2
Let a = 2 + -3. Let y = a + 7. Let c be (y + -7)*(0 - 2). Solve -s = c*s + 3 for s.
-1
Suppose w = -2*w + 5*w. Let d = -11 - -21. Solve w = 3*m + 2*m - d for m.
2
Let u be 10/4 + 3*2/(-4). Solve 0*g = -g - u for g.
-1
Let l(w) = w**2 + 5*w - 3. Let q be l(-6). Let t(j) = -j + 3. Let o be t(-7). Suppose 6*f = f + o. Solve f*k = -k - q for k.
-1
Let j be (3 + 26/(-6))*3/(-2). Solve 5 = -7*s + j*s for s.
-1
Suppose -s - 10 = -3*h, -h = -4*h - 4*s + 35. Let i = h + 12. Solve -5*g - 2 = -i for g.
3
Let p(v) = v**3 + 3*v**2 - 5*v - 1. Let s be p(-4). Let h be (3 + -1)/(4/6). Let r be (4 + (-12)/3)/2. Solve h*w + r*w = -s for w.
-1
Let d(q) = q**3 + 5*q**2 - 6*q + 4. Let v be d(-6). Suppose -2*g + 1 + 3 = 2*k, -v*g - 5*k = -8. Solve g*h = -h + 15 for h.
5
Suppose 12 + 0 = 4*s - 5*y, -2*y + 3 = s. Let o be 3/5 - s/5. Solve f - 5 + 3 = o for f.
2
Let v(j) = -j + 4. Let m be v(-4). Suppose -m = -4*c + 4. Let l = -34 - -54. Solve l = y + c*y for y.
5
Let t(o) = -o**2 + 6*o - 5. Let f be t(4). Suppose -f*u - 3 = -0*u, 2*y + 4*u = 0. Solve y*x - 4*x = -6 for x.
3
Suppose 4*c - 23 = -4*f - 3, 3*c + 17 = 5*f. Solve x + 9 = f*x for x.
3
Let k(s) = s + 11. Let g be k(-6). Solve 0 = g*h - 6 + 1 for h.
1
Let q(u) = u**2 - 3*u. Let c be q(3). Let l = -10 - -12. Suppose 4*w - 2*o + 7*o - 20 = 0, 0 = -4*w - l*o + 8. Solve -4*z + c*z = w for z.
0
Let n be (5 - 4)/(1/3). Let x(b) = -3*b + 2. Let s be x(n). Let t(z) = -z**2 - 9*z - 8. Let i be t(s). Solve -4*v + 2 = -i for v.
2
Suppose 0 = -4*w - w + 20. Let n(j) = 1 - w*j**2 - j**2 + 1 + 4*j**2 + 2*j. Let b be n(2). Solve 0 = -b*x - 2 - 0 for x.
-1
Suppose -3*a - 8 = -7*a. Solve 5
|
{
"pile_set_name": "DM Mathematics"
}
|
-2*l**3 + 13*l**2 + 4*l + 17. What is y(7)?
-4
Let u(v) = v**3 - 13*v**2 - 13*v - 29. Give u(14).
-15
Let r(h) = 54*h**2 + 3*h - 3. Calculate r(1).
54
Let w(m) = 2*m**2 - 8*m - 9. Determine w(5).
1
Let k(x) = 4*x**3 + 2*x**2 - 2*x + 11. Give k(0).
11
Let w(j) = -j**3 - j - 1. What is w(0)?
-1
Let j(m) = m**2 - 9*m + 16. Calculate j(6).
-2
Let d(j) = -j**2 + 12*j + 136. Calculate d(19).
3
Let q(a) = -10*a - 2. What is q(-1)?
8
Let y(d) = 10*d + 9. Calculate y(4).
49
Let g(m) = -5*m + 23. What is g(3)?
8
Let o(c) = c + 10. Calculate o(-14).
-4
Let o(h) = -h**3 + 10*h**2 - 8*h + 6. Give o(7).
97
Let n(w) = -6*w + 7. Determine n(3).
-11
Let p(m) = 2*m. What is p(-1)?
-2
Let i(l) = l + 4. Calculate i(-4).
0
Let k(v) = -v**3 + 6*v**2 - 3*v - 2. Determine k(6).
-20
Let u(j) = -22*j**2 - j - 2. Give u(-1).
-23
Let v(l) = -l**3 + 7*l**2 - 30*l + 143. Determine v(6).
-1
Let b(r) = r**2 + 3*r + 2. Give b(3).
20
Let j(s) = -s + 35. Give j(55).
-20
Let l(c) = -c**2 - 17*c - 36. Determine l(-16).
-20
Let p(b) = -2*b**3 + 21*b**2 - 13*b + 23. Determine p(10).
-7
Let m(q) = -q**3 + 3*q**2 + 3*q - 6. Determine m(4).
-10
Let h(p) = p**3 - 10*p**2 - 9*p - 14. Give h(11).
8
Let b(q) = -2*q**3 - 8*q**2 - 3*q - 9. Give b(-4).
3
Let m(t) = 15*t**2 - 33*t + 2. What is m(2)?
-4
Let u(y) = -y**2 + 15*y + 7. What is u(18)?
-47
Let u(g) = -6*g - 218. Determine u(-39).
16
Let x(f) = -f**3 + 5*f**2 - 2*f - 1. Give x(4).
7
Let g(z) = z**2 + 40*z + 341. Determine g(-12).
5
Let a(h) = -h**2 - 10*h - 10. Determine a(-12).
-34
Let f(h) = -h + 9. Determine f(12).
-3
Let q(s) = 18*s**2 - 4*s - 3. Give q(-1).
19
Let t(g) = -12*g**3 - g**2. Calculate t(-1).
11
Let j(x) = -x**3 + 10*x**2 + 14*x + 10. Calculate j(11).
43
Let t(m) = 3*m**2 + 5*m - 21. Determine t(3).
21
Let k(b) = -b - 4. What is k(12)?
-16
Let u(t) = 4*t - 2. Determine u(-2).
-10
Let p(c) = -c**2 - 15*c + 132. Give p(6).
6
Let y(g) = -14*g**2 - g + 9. Give y(0).
9
Let c(j) = -26*j - 3. What is c(-2)?
49
Let c(o) = 2*o**3 + 10*o**2 + 3*o + 11. What is c(-5)?
-4
Let o(q) = -q**2 - 24*q - 23. What is o(-21)?
40
Let t(y) = y**3 - 2*y**2 - 3*y - 4. Calculate t(4).
16
Let w(z) = 2*z**2 - 5*z + 5. Calculate w(2).
3
Let b(w) = w**2 + 7*w + 12. Give b(-13).
90
Let i(k) = k**3 - 14*k**2 - 17*k + 5. Determine i(15).
-25
Let h(j) = j**3 + 14*j**2 - 3*j - 18. Give h(-14).
24
Let m(x) = -x**3 - 4*x**2 + x - 16. Give m(-5).
4
Let m(v) = -v**3 - 15*v**2 - 13*v + 7. Give m(-14).
-7
Let v(b) = b**3 + 22*b**2 - 21*b + 46. What is v(-23)?
0
Let r(j) = j**3 - 8*j**2 + 8*j + 5. Give r(4).
-27
Let k(t) = t**3 - t**2 + t - 2. Give k(0).
-2
Let v(z) = 2*z**3 + 35*z**2 - 12*z + 108. What is v(-18)?
0
Let g(w) = w**2 - 19*w - 216. Calculate g(27).
0
Let g(d) = d**2 - 19*d + 3. What is g(13)?
-75
Let s(g) = g**3 + 14*g**2 + 15*g + 32. Determine s(-13).
6
Let b(f) = f**3 + 10*f**2 - 20*f + 43. Give b(-12).
-5
Let o(d) = -d**2 - 5*d + 19. What is o(7)?
-65
Let l(c) = c**2 - 12*c + 8. Give l(9).
-19
Let p(c) = -c**2 - 11*c - 23. Determine p(-9).
-5
Let o(q) = q**2 - 23*q + 15. Calculate o(22).
-7
Let u(j) = 2*j**2 - 7*j - 9. Give u(6).
21
Let w(s) = 5*s**2 + 70*s + 19. Determine w(-14).
19
Let g(c) = -17*c + 265. What is g(16)?
-7
Let q(k) = -k**3 - 32*k**2 + 28*k - 176. Calculate q(-33).
-11
Let k(i) = 14*i. Give k(3).
42
Let j(u) = 3*u + 7. Calculate j(-7).
-14
Let l(t) = -t**2 - 28*t - 57. Calculate l(-26).
-5
Let g(f) = 53*f - 901. Determine g(17).
0
Let n(x) = -x**2 + 15*x - 9. Give n(14).
5
Let v(k) = k**2 - 7*k - 11. What is v(9)?
7
Let v(w) = -10*w - 439. Determine v(-46).
21
Let u(z) = -4*z**2 - 5*z - 7. Give u(-2).
-13
Let o(m) = m**2 - m - 5. What is o(-6)?
37
Let n(q) = -q + 10. Determine n(13).
-3
Let o(f) = f + 40. What is o(-6)?
34
Let c(d) = -d**3 + 22*d**2 - 42*d + 32. Determine c(20).
-8
Let z(g) = g**2 - g - 7. Calculate z(-3).
5
Let g(y) = -y**3 - 14*y**2 - 11*y - 5. Calculate g(-13).
-31
Let y(u) = u**3 + 7*u**2 + 3*u - 12. Determine y(-6).
6
Let x(c) = -c**3 - 10*c**2 - 8*c + 21. Determine x(-9).
12
Let t(l) = l**2 - 5*l - 82. Calculate t(10).
-32
Let r(u) = -2*u**2 + 4*u - 20. What is r(6)?
-68
Let h(z) = z**3 + 7*z**2 - 10*z - 2. What is h(-8)?
14
Let g(f) = f**3 - 10*f**2 + 12*f - 18. Determine g(9).
9
Let c(g) = -2*g - 29. What is c(-6)?
-17
Let d(i) = i + 11. Give d(-4).
7
Let u(a) = -4*a**3. Calculate u(1).
-4
Let n(j) = 6*j + 31. Calculate n(-5).
1
Let l(b) = -b**3 + 8*b**2 - 3*b + 1. Give l(6).
55
Let g(w) = 7*w + 106. What is g(-14)?
8
Let j(i) = 21*i**3 + 2*i**2 - 3*i + 3. What is j(2)?
173
Let u(m) = -m**3 + 6*m**2 + 3. Give u(6).
3
Let p(c) = -2*c + 2. Give p(2).
-2
Let k(h) = -3*h + 3. Give k(-12).
39
Let l(f) = f - 10. Give l(10).
0
Let x(r) = -43*r**2 - 3*r - 2. Give x(-1).
-42
Let k(r) = -40*r - 53. What is k(-1)?
-13
Let k(q) = -4*q + 3. Calculate k(5).
-17
Let i(w) = 13*w + 45. Calculate i(-4).
-7
Let i(k) = -k**2 - 10*k - 13. Determine i(-5).
12
Let f(c) = c**2 - 8*c + 7. Calculate f(7).
0
Let j(r) = 2*r + 24. Determine j(-13).
-2
Let c(j) = j**2 - 8*j + 10. What is c(8)?
10
Let w(d) = d**3 + 11*d**2 - 7*d + 9. Calculate w(-12).
-51
Let v(s) = -s**3 - 2*s**2 + 2*s - 1. Calculate v(-3).
2
Let y(c) = -c**2 + 8*c - 116. Determine y(0).
-116
Let w(x) = x**3 + 8*x**2 + 7*x + 1. Determine w(-7).
1
Let u(d) = 17*d - 3. What is u(-5)?
-88
Let j(f) = 51*f**3 - f**2 + 1. What is j(1)?
51
Let k(a) = a**3 - 8*a**2 + 5*a + 15. Determine k(7).
1
Let i(m) = -m**2 - 5*m + 72. Calculate i(-12).
-12
Let g(x) = -9*x + 4. Calculate g(0).
4
Let k(t) = -t**3 - 10*t**2 - 13*t - 15. Calculate k(-5).
-75
Let z(p) = -3*p**2 - 37*p - 7. Give z(-11).
37
Let d(z) = -33*z + 30. Calculate d(-6).
228
Let u(i) = -i**2 + 11*i - 6. What is u(10)?
4
Let i(s) = 3*s - 6. Give i(6).
12
Let w(r) = 2*r**2 - 24*r - 2. Give w(11).
-24
Let g(t) = 2*t**2 - 2*t - 18. What is g(10)?
162
Let p(w) = -w - 4. Determine p(-14).
10
Let p(d) = -2*d + 12. Determine p(6).
0
Let d(t) = t**3 - 8*t**2 - 11*t - 3. What is d(9)?
-21
Let m(o) = -o**2 - 9*o + 94. What is m(-14)?
24
Let l(t) = -t**3 + 16*t**2 - 13*t - 17. Give l(15).
13
Let g(r) = -r**3 + 5*r**2 + 4*r + 12. What is g(7)?
-58
Let l(u) = u**2 + 10*u + 10. Calculate l(-10).
10
Let j(m) = 35*m - 2. What is j(2)?
68
Let y(x) = -x + 5. What is y(22)?
-17
Let w(y) = y**2 - 14*y + 17. What is w(6)?
-31
Let h(w) = -w - 4. Give h(-13).
9
Let c(k) = -3*k**3 + 4*k**2 - 5*k + 4. Determine c(2).
-14
Let x(m) = 3*m - 30. Determine x(12).
6
Let h(b) = -2*b**3 + 3*b - 3. Calculate h(2).
-13
Let k(s) = s**3 + 5*s**2 - 23*s + 10. What is k(-8)?
2
Let i(q) = -4*q + 1. Give i(3).
-11
Let c(p) = p**2 - 30*p + 176. Calculate c(22).
0
Let q(s) = 2*s - 21. What is q(14)?
7
Let b(j) = -2*j + 10. Determine b(4).
2
Let h(g) = g**2 - 5*g - 14. Determine h(5).
-14
Let w(i) = i**3 + 25*i**2 - 55*i - 30. Determine w(-27).
-3
Let k(h) = h**2 - 5*h - 14. Determine k(-6).
52
Let i(r) = r**2 + 8*r + 10. Determine i(-2).
-2
Let f(w) = 2*w**3 + 30*w**2 + w + 17. Give f(-15).
2
Let z(y) = 2*y - 52. Give z(17).
-18
Let y(p) = -p**3 + 8*p**2 + 6*p + 21. What is y(9)?
-6
Let c(v) = 5*v**2 - 5*v + 9. What is c(2)?
19
Let n(f) = f**3 + 6*f**2 - 9*f + 9. Calculate n(-7).
23
Let x(i) = 3*i**2 - 29*i - 18. What is x(10)?
-8
Let y(s) = s**2 - 17*s + 13. Determine y(11).
-53
Let h(b) = b**3 + 6*b**2 - 2*b - 14. What is h(-6)?
-2
Let w(i) = i**2 - 35*i + 80. Calculate w(34).
46
Let x(y) = -7*y**2 + 10*y + 60. What is x(-4)?
-92
Let q(c) = -c + 3. Determine q(-5).
8
Let t(l) = 9*l + 34. Determine t(-6).
-20
Let y(b) = -b**2 + 9*b - 4. Determine y(7).
10
Let m(y) = -9*y**3. Determine m(-1).
9
Let k(h) = -3*h**2 + 15*h - 14. Calculate k(4).
-2
Let l(s) = 7*s**2 - 2*s + 2. Give l(3).
59
Let r(i) = i**2 + 11*i + 14. What is r(-7)?
-14
Let b(d) = 17*d - 66. Give b(4).
2
Let p(j) = -3*j - 11. Calculate p(0).
-11
Let i(w) = 3*w**3 - 10*w**2 + 4*w - 9. Determine i(3).
-6
Let x(t) = t**2 + 20*t - 9. Determine x(-18).
-45
Let o(i) = -325*i + 1631. Determine o(5).
6
Let m(i) = -i**3 - 30*i**2 + 31*i - 11. Determine m(-31).
-11
Let z(m) = -4*m**2 - 21*m + 52. Determine z(-7).
3
Let s(r) = 2*r - 3. Give s(2).
1
Let m(w) = -w**3 - 9*w**2 - 11*w - 17. Determine m(-8).
7
Let t(o) = -o**2 + 20*o + 52. Calculate t(23).
-17
Let p(d) = d**2 - 20*d. Determine p(0).
0
|
{
"pile_set_name": "DM Mathematics"
}
|
*b = -16*b + 220. Let r(k) = -12 - b - 11 + 39 - k. What is r(7)?
-11
Let i(m) = 2*m**2 - 71*m + 399. Let u be i(28). Let n(g) = 7*g + 126. Calculate n(u).
-21
Let y(h) = -9*h + 4. Let b = -403 - -418. Let l(p) = -5*p + 18. Let v(j) = 9*j - 36. Let x(a) = -7*l(a) - 4*v(a). Let r be x(b). What is y(r)?
-23
Let d(i) be the first derivative of -57*i**2/2 - 9*i + 6354. What is d(1)?
-66
Let l(o) = o**2 + 16*o + 20. Let y be 1155/330*(-24)/7. What is l(y)?
-28
Suppose 3*y - 7 = 4*b, -3*y + 0*y + 9 = -3*b. Suppose -m + 0 = 2*f + 2, b*f = -8. Let q(o) = o**3 - 6*o**2 + 1. Give q(m).
1
Let k(x) = 9*x**3 - 7*x**2 - 5*x - 25. Let j(g) = 5*g**3 - 4*g**2 - 3*g - 13. Let n(u) = 5*j(u) - 3*k(u). Give n(0).
10
Let p(x) = x**3 - 10*x**2 - 12*x - 3. Let m be 308/(-12)*(-17 + 5). Suppose 42*h - m = 14*h. Determine p(h).
-14
Let o(x) = -2*x**2. Let f(q) = q**2. Let w(m) = 13*f(m) + 6*o(m). Let t be ((-24)/(-18))/(18/(-27)) - 0. Determine w(t).
4
Let f be ((-1)/((-1)/2))/((-2)/(-11)). Let n = -35 + f. Let t be (-136)/(-40) - (n/(-10) + -2). Let p(s) = s**3 - 3*s**2 + 4*s + 1. Determine p(t).
13
Let g(v) = -v + 17. Suppose -13*p + 8*p + 45 = 0. Suppose 4*i + 3*j + 29 = 74, 3*j - p = 0. Calculate g(i).
8
Let i(j) be the third derivative of 5*j**2 + 1/12*j**4 + 0 + 0*j - 5/6*j**3. Let q(u) = 3*u - 1. Let b be q(2). What is i(b)?
5
Suppose -17*v + 24*v = -35*v. Let y(i) = -3*i**3 + 10*i**2 - 3*i + 29. Let l(w) = -2*w**3 + 7*w**2 - 2*w + 19. Let g(t) = 7*l(t) - 5*y(t). What is g(v)?
-12
Let l(b) = -227 + 3*b + 29 + 18 - 10*b. Determine l(-25).
-5
Let f(g) = -5. Let v(n) = n - 6. Let t(u) = 4*f(u) - 3*v(u). Let d = 468 - 462. Give t(d).
-20
Let w(l) = -13*l**2 + l - 13. Let p(i) = i**2 - 5*i. Let c be p(-1). Let r(u) = -24*u**2 + u - 24. Let x(v) = c*r(v) - 11*w(v). Calculate x(-5).
-1
Let d(y) = -y**2 - 7*y + 5. Let u(c) = 2*c**2 + 1. Suppose 4 = -3*w + w. Let o be u(w). Suppose 0 = 8*g - o + 65. What is d(g)?
5
Suppose 53*o - 56*o = -18. Let u(v) = v**3 - 5*v**2 - 5*v - 11. What is u(o)?
-5
Let w(i) = -16*i**3 + i**2 - 1. Let d(n) = -79*n**3 - 6*n**2 + 21*n - 1. Let x(l) = -d(l) + 5*w(l). Calculate x(9).
-31
Let b(f) = 11*f**2 + 9*f + 2. Let v(x) = -23*x**2 - 19*x - 4. Suppose 557*d - 561*d + 52 = 0. Let y(z) = d*b(z) + 6*v(z). What is y(-1)?
4
Let d(n) = -16*n - 145 - 64425*n**2 - 20*n + 64423*n**2. Determine d(-6).
-1
Let f(h) = h**3 - 3*h**2 + 2*h - 19. Let z be f(4). Let y be (-19)/5 + (-16)/z + 3. Let x(c) = -c**2 - 6*c - 6. Determine x(y).
2
Let m(s) be the first derivative of -25*s**2 - s - 8639. What is m(-1)?
49
Let c(b) = -68*b**2 + 53*b + 65. Let i(k) = 10*k**2 - 8*k - 9. Let a(y) = 4*c(y) + 27*i(y). Determine a(6).
-79
Let z be (-10 - -9) + 38 + (2 - -1). Let q be (-18)/5 + 2/(-5). Let f be q/5*z/16. Let k(a) = -a**3 - 3*a**2 - 3*a - 1. Calculate k(f).
1
Let q = 294 - 267. Let c be (25 - q)/(-3 + 1) - 4. Let g(n) = -3*n + 7. Determine g(c).
16
Suppose 0 = 3*j + 10 + 5, -71 = -4*g - 5*j. Suppose -3*t + 3*z - g = -7*t, -2*t - 6 = -3*z. Let o(x) = 0*x + t*x**2 - 4 - 2*x - 13*x**3 + 14*x**3. Give o(-3).
2
Let k(j) = 3 + 5 - 1 - 3 + 12*j - 7*j**2 - 16*j - j**3. Suppose 6 = 2*l - 3*l. Give k(l).
-8
Let l(o) = o**2 + 2*o + 9. Let c(q) = q**2 + 2*q + 8. Let b(y) = 7*c(y) - 6*l(y). Let x(u) = -u**2 + 2*u + 4. Let d = -4 + 2. Let j be x(d). What is b(j)?
10
Let t(d) = d**3 + 13*d**2 + 12*d - 4. Let f = -30 + 29. Let g be f/3 - (-40)/(-60). Let z be 1/3*g + (-245)/21. What is t(z)?
-4
Let j(a) be the first derivative of 0*a**2 - 150 + 1/4*a**4 + 19/3*a**3 + a. Give j(-19).
1
Let t(s) = -s**3 + 3*s**2 + 109*s - 419. Let b be t(4). Let v(n) = 3*n + 8. Determine v(b).
11
Let k(o) = -6*o**3 + 2*o**2 + o - 1. Let z(p) = 19*p**3 - 2*p**2 - 7*p - 2. Let s(m) = 3*k(m) + z(m). Give s(-4).
11
Suppose -4*o + 26 = 2*j, -11*j = 5*o - 15*j - 65. Suppose 0 = m + 4*f + o, -4*f - 12 = 4*m - 0. Let a(l) = -8*l**2 + 1. Give a(m).
-7
Let j(l) = 5*l**3 - 9*l**2 + 3*l + 2. Let z be j(2). Suppose -m = 3*i + 13, 4*i + 21 = -3*m + z. Let b(d) = d**2 + 6*d + 6. Give b(i).
6
Let q(s) = 5*s**2 + 2. Let i(g) = 6*g**2 - 15*g - 3. Let n(x) = i(x) - q(x). Calculate n(14).
-19
Let s(n) = -n**3 + n**2 + n - 1. Suppose 0*b = b - 5*m - 25, -2*b = -5*m - 30. Suppose -6*r = -b*r - 9. Suppose r = i + 7. Give s(i).
-3
Suppose -29 = 4*v - 5*k, 6*v - 2*k + 26 = 2*v. Let c(s) = -7*s + 6. Let x(l) = -15*l + 12. Let g(q) = v*x(q) + 13*c(q). Determine g(7).
-1
Let u(l) = l**2 - 10*l + 6. Let c(s) = -s**2 + 8*s - 3. Suppose 0 = -6*z - 8*z + 28. Let r be c(z). Calculate u(r).
-3
Let l(i) = 17*i**2 + 13*i - 8. Let a(n) = -80*n**2 - 64*n + 39. Let m(c) = -3*a(c) - 14*l(c). Give m(-5).
-5
Let d(w) = -1. Let v be (11/6)/(3/18). Let r = v + -12. Let q(h) = h**2 + 2*h - 6. Let y(o) = r*q(o) + 4*d(o). Give y(-3).
-1
Let j(g) = -g**2 - 39*g + 38. Let w = 23083 + -23123. Give j(w).
-2
Let q(n) = n**2 - 7*n + 3. Suppose 171 = b + 5*s, -2*b = -b - s - 195. Let l = b + -183. What is q(l)?
11
Let o(k) = -k + 4. Suppose 5 - 37 = -4*h. Let f(y) = 4*y - 12. Let d(v) = h*o(v) + 3*f(v). Suppose 4*n - 4 = -r - 16, 0 = -4*r. Give d(n).
-16
Suppose 2 = -o + 3*g + 1, 0 = 2*o + g - 12. Suppose 6*y + o*r + 13 = 3*y, -2*y = 2*r + 2. Suppose 23*x = y*x + 95. Let z(l) = 2*l - 5. Determine z(x).
5
Let r(z) = -z**3 + 97*z**2 - 95*z - 65. Let n be r(96). Let y(x) = x - 12. What is y(n)?
19
Let u(i) = -20*i**2 - 2 + i + 102*i**3 - 103*i**3 + 29*i**2. Let m = 14 + -5. What is u(m)?
7
Let h(n) = -1 - n**3 + n + 2*n**2 + 0*n + 0*n**3. Let s(p) = 2*p**3 + 170*p**2 - 342*p + 525. Let k be s(-87). Calculate h(k).
-7
Let p(f) = 2*f - 3. Let o = 54 - -62. Let q(t) = -116 + t + o. Let z be q(-6). What is p(z)?
-15
Let s(l) = -28*l - 1. Let c be s(-1). Suppose 2*h = 2*x, -5*x - 2*h + c = 6. Let a(k) = k**2 - 4*k + 2. Calculate a(x).
-1
Let w(y) = -3*y**2 - 4*y + 8. Let l(z) = -3*z + 10*z**2 - 21*z**2 + 12*z**2 + 4*z - 3. Let o(a) = -11*l(a) - 4*w(a). Calculate o(-4).
-3
Let k(u) = u**2 - 26*u + 54. Let i be k(24). Let m be 74/(-6) - (-2)/i. Let x(j) = j**2 + 10*j - 14. Give x(m).
10
Let p(k) = -k - 32. Let b be (0 + (0 + 1)*-2)/((-2)/(-16)). Calculate p(b).
-16
Let s(z) = 428 + 427 + 3*z - z**2 - 834 + 2*z. Give s(-5).
-29
Let m(d) = 5*d**2 - 1. Let r = 53 - 51. Suppose 0 = -3*a + t + 2 - 7, -3*a + 10 = r*t. Suppose -5*l + 2*l - 3 = a. What is m(l)?
4
Let w(n) = -29*n**2 - 2*n + 54. Let m(i) = -46*i**2 - 3*i + 86. Let l(x) = 12*m(x) - 19*w(x). What is l(-4)?
-18
Let r(a) be the third derivative of 0*a**3 + 0*a - 1/120*a**6 + 26*a**2 - 1/20*a**5 + 0 - 1/8*a**4. Let c = -2 - 0. Give r(c).
2
Let c(g) = g**3 + 4*g**2 - 7*g - 6. Suppose j - 3 = -l, -l = -0*l - j - 7. Let z be ((-2)/(-3))/(6/1485*l). Let v = -38 + z. What is c(v)?
4
Suppose 19*m - 10 = 47. Let p be (10 - 17)*m/7. Let y(i) = 10*i + 1. Calculate y(p).
-29
Let f(p) be the first derivative of p**4/4 + 5*p**3 + 9*p**2 + 34*p + 2107. What is f(-14)?
-22
Let f(g) = 2*g**2 - 52. Let x be f(-5). Let q be (4 - (-72)/(-27))*(-9)/x. Let n(r) = -r**3 + 4*r**2 + 13*r + 2. Give n(q).
8
Let s(f) = -147 + 76 + 67 - f. Let g(r) = 2*r + 7. Let p(j) = -4*g(j) - 7*s(j). Determine p(-8).
8
Suppose i + i - 3*z = -21, 3*i + z + 4 = 0. Let w be (8/10)/(-5 - 54/(-10)). Let g(c) = -6*c**2 + 7*c**w - 20*c + 19*c. What is g(i)?
12
Let u(j) = -3*j**3 + 11*j**2 - 4*j - 67. Let y(r) = 13*r**3 - 45*r**2 + 17*r + 278. Let m(g) = 9*u(g) + 2*y(g). Calculate m(8).
1
Let g(m) = -7*m**2 + m + 22. Let q(f) = -6*f**2 + f + 19. Let x(u) = -5*g(u) + 6*q(u). Let o(z) = z - 4. Let d be o(7). Suppose 0 = i + d*i. Determine x(i).
4
Let y = -13526 - -13519. Let z(d) = -2*d**2 - 11*d - 7. Calculate z(y).
-28
Let c(d) = 40*d - 124. Suppose 51*k - 93 = -33 + 93. Give c(k).
-4
Let l be (-5 - -3)/(-1 + 74/70). Let t be (-1)/(-3) - (-6 - l/15). Let z(r) = r**2 - 4*r + 6. Let a be z(t). Let b(u) = -2*u + 3. What is b(a)?
-9
Let r(j) = j**3 - 4*j**2 + j + 1. Suppose p - 36 + 30 = 0. Suppose 8*n = p*n + 8. What is r(n)?
5
Let z = -594 - -596. Suppose 0 = 34*f - 2 + z. Let o(h) = -h - 31. Calculate o(f).
-31
Let p(b) be the first derivative of 0*b**3 - 1/2*b**2 + 3*b - 1/4*b**4 + 35. What is p(0)?
3
Let v(f) = 22*f**2 + 180*f + 47. Let o be v(-8). Let r(y) = y**3 - 14*y**2 - 20*y - 10. Determine r(o).
-85
Let j(p) = -p**3 - 11096 - 11099 - 7*p
|
{
"pile_set_name": "DM Mathematics"
}
|
-1, 3*d - 5*o + 5 = 0. Let s(t) = 5*t**3 - 32*t**2 + 4*t + 47. Let n be s(6). Which is the closest to n? (a) -2/9 (b) d (c) 0.09
a
Let g be 13 + (2618/1265 - 15). Which is the nearest to 1? (a) -0.3 (b) -5 (c) g
c
Let m = 8500 - 8499.8. Which is the nearest to -1? (a) -11 (b) 3/2 (c) m (d) 15
c
Let p = -112 + 557/5. Let j = -14.984 - 0.216. Let c = j + 15. What is the closest to -0.1 in c, 0.5, p?
c
Let h = 7 - 5. Let a(o) = -8*o**2 + o - 1. Let v be a(-1). Let l be 34/v - (-6)/15. What is the closest to h in -1/7, l, 2?
2
Let s = 0.5 - 1. Suppose 0 = 2*z - 16*y + 12*y + 10, 20 = -4*z - 4*y. Let l be (-6 + (-6)/10*z)/2. Which is the closest to l? (a) -3 (b) -5 (c) s
c
Let w = -1335/4 - -338. Let n = -30077.8 - -30078. Which is the closest to n? (a) 0.5 (b) -0.4 (c) w
a
Let s be (-39)/(-12) - (-231)/84. What is the closest to -1 in 0.2, 1/11, s?
1/11
Let m = 1 + -1.016. Let o = -2046.1 + 2046.3. Which is the nearest to o? (a) 3/5 (b) m (c) 3/8
c
Let d = -41 - -23. Let l be (-20)/25*-5 - d. Let c be 10/l*(-2)/(-5). What is the nearest to -2 in 1/3, 0.5, c?
c
Let g = -7/10 - -1/30. Let n be 45/10*-2 + -1. Let z be 2*n/45*-3. Which is the nearest to 0.08? (a) z (b) -0.3 (c) g
b
Let k be 7/2 - 65/130. Let g be -2*2 + (-8 - k). Which is the closest to 1? (a) 0 (b) g (c) 6
a
Let u = -5.5 + 5.8. Let w be 2 - (-13)/5*-1. Let z = -11.4 - -9.4. What is the closest to 0 in u, z, w?
u
Let w = 57 + -57.2. Let y = 39 + -35. Suppose 0 = -6*m + 11*m + 5, -4*v - y*m - 12 = 0. Which is the nearest to w? (a) 0.1 (b) v (c) 0
c
Let b = 16/5 + -3. Suppose 17*l - 13*l + 40 = -5*x, -21 = -x + 5*l. What is the closest to b in x, 2/13, 0?
2/13
Let j be (-102)/(-4) - 12/(-8). Let k be ((-3)/18 - 0)/(9/j). Let m be (-2)/20*-2 + 54/(-45). Which is the closest to 2/5? (a) 2/3 (b) m (c) k
a
Let m be (20/300*20)/((-2)/3). Which is the nearest to m? (a) -0.1 (b) 1 (c) -0.2
c
Let n = 0.54904 + -0.04904. Which is the closest to -19? (a) 3 (b) 0.006 (c) 2 (d) n
b
Let u = -145 + 144. Let m be (-8 - (-485)/60)/(1/4). Let k = 0.36 + 0.04. What is the nearest to 1/2 in k, m, u?
k
Suppose -4*v - 74 + 270 = 0. Let l = v + -48. Let f be (-2)/3 - (-16)/15. What is the closest to l in -0.04, 2/11, f?
f
Let b = 5974 - 65818/11. What is the closest to -0.1 in b, -0.3, 0.5?
-0.3
Let g be ((-8)/(-18))/((-9)/(54/(-8))). Let i = -667/72 - -75/8. What is the closest to g in -0.2, 0, i?
i
Let x be (4/(-3))/(-4 + 2). Let f = 2622 - 2627. What is the nearest to x in f, 2, 0.04?
0.04
Let x = -21/205 + 62/205. Suppose 3*w + 2*m + 2 - 5 = 0, w + 5*m = 14. Let v be (w/(-15)*-4)/2. Which is the nearest to 1? (a) 2/7 (b) x (c) v
a
Let y = 0.07029 - -0.02971. What is the closest to 1 in -1/14, y, 0.04?
y
Let c = -55829 - -55832. Let u = -13 + 8. Let l = -3 - u. What is the nearest to -1 in c, 1, l?
1
Let x = 4401 + -4396.3. Let w = 1.91 + -0.21. Let k = w - x. Which is the nearest to k? (a) 3/4 (b) 4 (c) -1
c
Let t = 0.009 - 84.009. Let p = -87 - t. What is the closest to 0.1 in -0.5, p, 2?
-0.5
Let w(t) = -t**2 - 4*t - 2. Let l be w(-1). Let j = -11345.05 - -11345. What is the closest to 1 in 3, l, -1/6, j?
l
Let r = -0.3815 + 0.0425. Let h = -0.409 - r. What is the closest to 0 in 2, -1, h, 2/5?
h
Let h = 16.46 - 14.46. Let g = 3.9 - 4. Which is the nearest to -13? (a) -3 (b) g (c) h
a
Let x = 4119 - 4126. What is the closest to x in -11, 5, -5, 2/7?
-5
Let h be 252/140*(40/(-12))/(-3 + 7). Which is the closest to -1? (a) 683 (b) -1 (c) 0.4 (d) h
b
Let o be -3 - ((-390)/(-75))/(2/(-5)). Let t be (3 + 3)*(-5)/o. What is the closest to 2/7 in 0.3, t, -1?
0.3
Let d = -17824 + 17827. What is the nearest to 0 in 0.3, 4.18, 5, d?
0.3
Let o = 2/14333 - -14163/1218305. What is the closest to 2/13 in 0.3, -1/11, o?
o
Let k = -13 + 16. Let c be (-104)/(-24) + (-8)/(k + -1). Let u = 2.1 - 0.1. What is the nearest to 0 in c, u, -0.2?
-0.2
Let v = 188.04 + -188.43. What is the nearest to 2/5 in 0, 10, v?
0
Let r = 3398.4 + -3398. What is the closest to 0.07 in 1/2, r, 2/13, -53?
2/13
Let a = -6540 + 6551. What is the closest to -0.06 in -0.7, -3, a?
-0.7
Let l = -395.1 + 394.9. What is the closest to -1/9 in l, 1.5, -0.1?
-0.1
Let f = 37.1 + -7.2. Let s = f + -27.9. Which is the nearest to -4? (a) 1 (b) s (c) -0.6
c
Let v(w) = -65*w + 1691. Let d be v(26). What is the nearest to -0.1 in 1/4, 396, d, -0.3?
-0.3
Let v = 17.82 - -0.18. Let f = -18.3 + v. Let n = -1.61 - -6.61. Which is the nearest to -1/10? (a) n (b) f (c) 0.2
b
Let g = -14632 - -14625. What is the closest to g in -1, -3/7, -0.1?
-1
Suppose -18*i - 15*i + 33 = 0. Let n be 18/(-28) - (-5)/10. Let a = 23/14 + n. What is the closest to i in a, 1/6, 1?
1
Let q = 83.78 - 107.38. What is the nearest to 1/9 in q, -0.5, 2?
-0.5
Let k = -0.05772 - 2.94228. Let i = -5/9 - -8/9. Let t be (2 - 3) + 9 + -3. Which is the closest to -1? (a) t (b) k (c) i
c
Let w be (-4)/28*(-10 + (13 - 4)). Which is the closest to 0.1? (a) 2/7 (b) -23 (c) -1/5 (d) w
d
Let q = -308 - -303. Let d = -255 - -256. Which is the closest to 3? (a) -2/11 (b) d (c) q
b
Let w be 145/(-36) + -3*(-6)/72 - -4. What is the nearest to -2 in w, 11/4, -1?
-1
Let j = 3.19 + -295.19. Let g = 292.5 + j. What is the nearest to 0.08 in -2/11, -3/2, g?
-2/11
Let g = 0.2 + -0.2. Let w = 170.5 - 171.5. Let j = -19/21 - -4/7. What is the closest to j in 2/13, g, w?
g
Let u = -356.1 + 356. Let b = -160 + 159.5. What is the closest to 9/7 in 5/3, b, u?
5/3
Let g be (-378)/(-54) - -29*(1 - 3)/8. Which is the nearest to -2/7? (a) -3 (b) g (c) 0.052 (d) -4
b
Let d = -17662/5 + 3532. Which is the nearest to d? (a) -1 (b) 2/7 (c) 1/2
a
Let d = 628.0507 + -628. Let s = d - -4.9493. Let w = -0.2 + 0.1. What is the nearest to w in 0.2, s, 1/4?
0.2
Let o = -57823/33 + 5255/3. Which is the nearest to -15? (a) 2/7 (b) 2/5 (c) o
c
Suppose 8*i = -6*i - 0*i. Let x = 4.3 - 22.3. What is the nearest to i in 0.4, -4, x?
0.4
Let v = -4.84 - -1.2. Let m = v + 1.64. Let p = -0.01 + -0.29. What is the closest to -15 in m, 1/7, p?
m
Let y = 119.42 + -119.62. What is the closest to 1/7 in y, -198/5, 0?
0
Suppose 21*t - 37 = 22 - 17. Let z(y) = -y + 9. Let k be z(0). Suppose -4 = -2*w - 2*m + 2, -5*w + m = k. What is the nearest to 1 in t, 0.43, w?
0.43
Let h be 4/30*(6 - 3). Let u = 0.32 - 0.386. Let g = -0.234 + u. What is the closest to h in -1/3, g, 3?
g
Let b = -0.45 - -0.05. Let o = -962 - -964. What is the closest to 1 in -1/2, b, o?
o
Suppose 3*r + 2*d = -0*d - 54, 2*d = -4*r - 72. Let l(h) = -4*h + 34. Let m be l(r). Let x = -105 + m. Which is the closest to 1? (a) -0.5 (b) 4 (c) x
c
Let u = -0.087 - -0.167. Let c = 1/71 - 79/568. What is the closest to -3 in c, -2, u?
-2
Let a = -7148 - -7151. What is the nearest to -0.2 in -0.8, a, 1/2, -2/5?
-2/5
Let w = -45 + 137/3. Let z be ((-595)/(-140))/(5/156). Let o = -133 + z. What is the nearest to o in w, 1/4, -2?
1/4
Let n = 0.333 - 0.233. Let o = 6.8 - 7.8. Which is the nearest to 1? (a) o (b) n (c) 1
c
Let j = 11398.6 - 11399. Which is the closest to 0? (a) j (b) -3/5 (c) 3/7 (d) -19
a
Let t = -822.04 - -824.04. Suppose -2*o = -a + 21, o = -4*o + a - 48. What is the nearest to 9 in t, 3, o?
3
Let n = -54 - -55.5. Let q = n + 1.5. Which is the nearest to -2? (a) -10 (b) -4 (c) -3 (d) q
c
Let b = 260/7 - 1033/28. What is the closest to b in 0.125, 4, 2, -3?
0.125
Let k = -0.86 + 0.8. Let t = -2241 - -2242. Which is the nearest to k? (a) 0.5 (b) 0 (c) t
b
Let n = 186.115 + -186. Let o = n - 0.215. What is the closest to o in 27, -4, -0.5?
-0.5
Suppose -4*m = -r - 6*m - 3, 4 = -4*m. Which is the nearest to 13? (a) 4 (b) 3 (c) r (d) 0.4
a
Suppose -3*h + 100 = 16. Let g be h/6 - (56/12)/7. Suppose -4*q = -2*f + 16 - g, 4*f - 16 = 0. Which is the nearest to q? (a) 2 (b) 0.04 (c) 0.1
b
Let q be 1 - 12/(1/(2/15)). Let z = 899 - 906. What is the closest to 0.1 in q, z, 0.3?
0.3
Let o = -2375 - -2374. Let v = -0.1 + 0.1. Let t = v - 3. Which is the closest to 2? (a) -0.3 (b) o (c) t
a
Let r = -250 + 251. Let q = 0.72 + -0.02. Let y = 1 - -4. Which is the closest to r? (a) 4 (b) y (c) q
c
Let j = -2.63 - -2.9. Let k = 102 + -101. Let u be (k - 4)*(-24)/(-72). Which is the closes
|
{
"pile_set_name": "DM Mathematics"
}
|
-1.695
Put 18, 1/2, -5/12, 2/13, 0.2, -5 in decreasing order.
18, 1/2, 0.2, 2/13, -5/12, -5
Sort -0.4, -7725/4, 4.
-7725/4, -0.4, 4
Put -4, 0.04, 7, -182 in decreasing order.
7, 0.04, -4, -182
Sort -311, -3, -1, 8, -5 in ascending order.
-311, -5, -3, -1, 8
Put 29, 1/4, -2 in ascending order.
-2, 1/4, 29
Sort -5, 8, -84, -7, 3.
-84, -7, -5, 3, 8
Sort -1542, 0.5, 13 in decreasing order.
13, 0.5, -1542
Sort 0.551, -2/9, -39/5 in descending order.
0.551, -2/9, -39/5
Put 11, -9, 16, 21 in descending order.
21, 16, 11, -9
Put -3, 2558, 1, -2 in descending order.
2558, 1, -2, -3
Sort -0.336, -0.4, -121, -0.5, 0.2.
-121, -0.5, -0.4, -0.336, 0.2
Put -24263, 26, 3 in decreasing order.
26, 3, -24263
Sort -11, 3, 1850, -3, -4, 26.
-11, -4, -3, 3, 26, 1850
Sort -1, -334, 8.
-334, -1, 8
Put -4, 51.5, -2/3, 14, -46 in decreasing order.
51.5, 14, -2/3, -4, -46
Sort -1/2, 7211, 0 in ascending order.
-1/2, 0, 7211
Put -25, 7, 124, -1, -2 in descending order.
124, 7, -1, -2, -25
Sort -0.3, -0.08, 2, -4, 25 in ascending order.
-4, -0.3, -0.08, 2, 25
Sort 3, 175, -10 in descending order.
175, 3, -10
Sort -0.1, -1.3, 0, -2.6, 4 in decreasing order.
4, 0, -0.1, -1.3, -2.6
Sort 1, 4, 45 in descending order.
45, 4, 1
Put -1416, 5, 3, 10 in decreasing order.
10, 5, 3, -1416
Sort 2, 1, -2, 342, -4.
-4, -2, 1, 2, 342
Sort -122/27, 2, -3.
-122/27, -3, 2
Put 4, -5, -1682, 23, 3 in increasing order.
-1682, -5, 3, 4, 23
Sort -6, -12, 8, -19, 0 in descending order.
8, 0, -6, -12, -19
Sort 5, -248, -30, -2 in decreasing order.
5, -2, -30, -248
Put 27, 8, 0, 103 in increasing order.
0, 8, 27, 103
Put -540, -27, 3 in increasing order.
-540, -27, 3
Sort 3, 240/17, 2/3, -16 in descending order.
240/17, 3, 2/3, -16
Put 352, -1, -2, 0 in increasing order.
-2, -1, 0, 352
Put 1, 0, -20, -8, -11, -5 in descending order.
1, 0, -5, -8, -11, -20
Sort 4, -743, 2, 65.
-743, 2, 4, 65
Sort -115, 7, -14 in descending order.
7, -14, -115
Sort -28, -329, 9, -5, 1, -1.
-329, -28, -5, -1, 1, 9
Put -0.1, 15, -1581, -0.3 in increasing order.
-1581, -0.3, -0.1, 15
Put -1394, -11, -2/5 in descending order.
-2/5, -11, -1394
Sort -0.1, -4/7, 46, -31, -1 in increasing order.
-31, -1, -4/7, -0.1, 46
Put -14, 8, -2, 4, -3 in ascending order.
-14, -3, -2, 4, 8
Sort 2, -221/6, 1, 0.2 in decreasing order.
2, 1, 0.2, -221/6
Sort 43, 5, -5, 208, 2.
-5, 2, 5, 43, 208
Sort -4, 1535, 54 in descending order.
1535, 54, -4
Put 10, 1, -3, -4, 2, -67 in decreasing order.
10, 2, 1, -3, -4, -67
Sort 8, -0.13, -2/3, -0.5, 1 in decreasing order.
8, 1, -0.13, -0.5, -2/3
Sort -16, -13, 14, -132 in ascending order.
-132, -16, -13, 14
Sort 149, -5, -104 in decreasing order.
149, -5, -104
Put 1, -426, -1, -2, 7 in increasing order.
-426, -2, -1, 1, 7
Sort 0.075, -1/4, -13, 0.5, -2/3.
-13, -2/3, -1/4, 0.075, 0.5
Put -1, -11/2, -5, 310, 2/15 in ascending order.
-11/2, -5, -1, 2/15, 310
Sort 3, 0, -33845, 2.
-33845, 0, 2, 3
Put 3, -21, 23, 2 in ascending order.
-21, 2, 3, 23
Sort 8, -3, -5, 137, -2, -4 in descending order.
137, 8, -2, -3, -4, -5
Put -2, 1, 203/5 in decreasing order.
203/5, 1, -2
Put -1/2, 0.21, -1, 14, -1/4, 0 in decreasing order.
14, 0.21, 0, -1/4, -1/2, -1
Sort 533/133, -5, 2/5, 1 in descending order.
533/133, 1, 2/5, -5
Put -0.1, -4, -14/9, -5/2, 0.26 in ascending order.
-4, -5/2, -14/9, -0.1, 0.26
Put 4, -5, 0, 632, 3 in descending order.
632, 4, 3, 0, -5
Sort 1/41, 0.5, 74, -3/2, -5, 5.
-5, -3/2, 1/41, 0.5, 5, 74
Put 0.61, 2, -3, 0.3, 4, 0.17 in decreasing order.
4, 2, 0.61, 0.3, 0.17, -3
Put 4, 2, 1, 46, 360 in decreasing order.
360, 46, 4, 2, 1
Sort 0.3, 0.02404, -5 in decreasing order.
0.3, 0.02404, -5
Put -1, -3, 4, 10 in descending order.
10, 4, -1, -3
Put 23/7, 0.2, -0.3, 124/9 in descending order.
124/9, 23/7, 0.2, -0.3
Sort 7, 273, -3/13 in descending order.
273, 7, -3/13
Sort 47, 0, -3985 in descending order.
47, 0, -3985
Sort 2, 2499, -0.2, 0.
-0.2, 0, 2, 2499
Sort 926/5, -0.1, -0.07, 0 in descending order.
926/5, 0, -0.07, -0.1
Sort -1, 1/38, -42, -3 in decreasing order.
1/38, -1, -3, -42
Sort -71449, 2, -5, 3, -3 in decreasing order.
3, 2, -3, -5, -71449
Sort -2.4, 0.2, -14/3, 0.3, 4 in decreasing order.
4, 0.3, 0.2, -2.4, -14/3
Sort -1, -9, 5, -46500 in increasing order.
-46500, -9, -1, 5
Put 2, 2130, 0 in decreasing order.
2130, 2, 0
Put 2229, -7, 1, 2 in descending order.
2229, 2, 1, -7
Put -36/23, -1/2, -4/13 in ascending order.
-36/23, -1/2, -4/13
Put -16992, 3, 5, 15 in descending order.
15, 5, 3, -16992
Sort 15, -4220, -1 in descending order.
15, -1, -4220
Put 6, 3, -3, 2, -31 in ascending order.
-31, -3, 2, 3, 6
Sort 264, -10/19, 1/4 in ascending order.
-10/19, 1/4, 264
Put 586, 0, 7 in ascending order.
0, 7, 586
Sort -2, -1/9, -3/5, -18, -1, 2/19 in descending order.
2/19, -1/9, -3/5, -1, -2, -18
Sort 0.02, -2/317, 1/2, 3 in increasing order.
-2/317, 0.02, 1/2, 3
Put 5/2, 0.03, -2, 8, 0.6, -5 in decreasing order.
8, 5/2, 0.6, 0.03, -2, -5
Sort -4, 0, -2/25, -5, 7 in decreasing order.
7, 0, -2/25, -4, -5
Put 3, 269, -13, 0, 4, -3 in decreasing order.
269, 4, 3, 0, -3, -13
Put -556, -5, 1, -4 in descending order.
1, -4, -5, -556
Sort -1/4, -2, -105, -1, 0.07.
-105, -2, -1, -1/4, 0.07
Sort 10, -4, 3, 6, -3, 5 in descending order.
10, 6, 5, 3, -3, -4
Put -2, 0, -1, 1046, 6 in descending order.
1046, 6, 0, -1, -2
Put 3, 0.4, 1/4269, 2/3 in decreasing order.
3, 2/3, 0.4, 1/4269
Sort 7, 1, 185, 0 in ascending order.
0, 1, 7, 185
Sort -28, -67, 3, 15 in decreasing order.
15, 3, -28, -67
Put 191, 4, 2 in decreasing order.
191, 4, 2
Put -1, -0.4, -15, -87, -0.5 in increasing order.
-87, -15, -1, -0.5, -0.4
Sort 6862, -4, 11.
-4, 11, 6862
Sort -0.104, 4, -241/6, 2 in decreasing order.
4, 2, -0.104, -241/6
Put -0.03, -0.4, 18622 in decreasing order.
18622, -0.03, -0.4
Sort -1/5, 1/15, 0, 104/5.
-1/5, 0, 1/15, 104/5
Put 7, -1, -26, -12 in descending order.
7, -1, -12, -26
Sort -16, 104/15, -1, 1, -1/2 in decreasing order.
104/15, 1, -1/2, -1, -16
Sort -168, 3, 16, 2 in decreasing order.
16, 3, 2, -168
Put -14, 24, 1, -4, -1, -207 in ascending order.
-207, -14, -4, -1, 1, 24
Put -2490, -11, 3 in decreasing order.
3, -11, -2490
Put 0.1, -0.04, -42, 64 in descending order.
64, 0.1, -0.04, -42
Put -0.4, 0.4, 5649 in descending order.
5649, 0.4, -0.4
Sort -5, -4, -3, 15, 1 in increasing order.
-5, -4, -3, 1, 15
Sort -5, -1/5, -108 in ascending order.
-108, -5, -1/5
Put -0.4, -1/3, 0.3, -90, -4 in ascending order.
-90, -4, -0.4, -1/3, 0.3
Put -13, 5, 37, -838 in descending order.
37, 5, -13, -838
Sort -6, 0, 6, -61 in ascending order.
-61, -6, 0, 6
Put 1, -1, 3, 0, -72 in descending order.
3, 1, 0, -1, -72
Put 3, 5, -0.5, -1567/5 in increasing order.
-1567/5, -0.5, 3, 5
Sort -6, 0.19, 308, 4/9.
-6, 0.19, 4/9, 308
Sort 0, 1, -2, 31, 5, 23 in decreasing order.
31, 23, 5, 1, 0, -2
Put 2/15, -4, 0, -6, 59, 3/4 in decreasing order.
59, 3/4, 2/15, 0, -4, -6
Sort -5, 2/3, 927, -2/17, 21 in descending order.
927, 21, 2/3, -2/17, -5
Sort 0.3, 1/429, -15, -34/7, 1/2 in descending order.
1/2, 0.3, 1/429, -34/7, -15
Sort -0.3, -4, -1.83.
-4, -1.83, -0.3
Sort -3, -34462, 2 in descending order.
2, -3, -34462
Put -1168, 0.3, -3 in ascending order.
-1168, -3, 0.3
Sort 117, -74, -14 in descending order.
117, -14, -74
Sort -4, 1, -2, -5, 21, 14 in decreasing order.
21, 14, 1, -2, -4, -5
Sort 337, 146, 6.
6, 146, 337
Sort 4, -0.08, 2/43, -1 in ascending order.
-1, -0.08, 2/43, 4
Sort 2, 68, 49.
2, 49, 68
Put -2, -5, -105, 0.5, -33 in increasing order.
-105, -33, -5, -2, 0.5
Sort -1, -2/17, -0.4, 0.4, -613.
-613, -1, -0.4, -2/17, 0.4
Put 3/7, 43, -3, -0.03 in decreasing order.
43, 3/7, -0.03, -3
Put -1, -2, 1, -99.6, 4, -0.2 in decreasing order.
4, 1, -0.2, -1, -2, -99.6
Sort -1, 5, -522, -12 in decreasing order.
5, -1, -12, -522
Sort 0, 1, 2, 2241, 5, -5.
-5, 0, 1, 2, 5, 2241
Sort 0, -9, -4, 43 in decreasing order.
43, 0, -4, -9
Put 0, 74, -5, -2, -1, 1 in descending order.
74, 1, 0, -1, -2, -5
Sort 12, 54, -550 in descending order.
54, 12, -550
Sort -1/693, -4, 0 in ascending order.
-4, -1/693, 0
Put -2, 1, 0, -1, 54, -4 in descending order.
54, 1, 0, -1, -2, -4
Put 1.3876, -3, 5, -1, -0.3 in ascending order.
-3, -1, -0.3, 1.3876, 5
Sort 32, -2/11, -9/4, 0.2 in decreasing order.
32, 0.2, -2/11, -9/4
Sort 2, -4, -22, -
|
{
"pile_set_name": "DM Mathematics"
}
|
the common denominator of (-8 + 83)*o/16 and -5/6.
24
Suppose -4*r = -5*m - 21, 4*r - 17 = 4*m + r. Let z(l) = -2 - 5*l - 4 + l - 4. What is the lowest common multiple of z(m) and 9?
90
Let l(m) = -m**2 - m + 10. Let z be l(3). What is the common denominator of 27/62 and 171/6*-1*z/(-24)?
248
Suppose 0*f + 5*f + 4*m = 112, -5*f - 5*m + 110 = 0. Suppose -2*x + 0 + f = 0. What is the smallest common multiple of 16 and x?
48
Find the common denominator of -83/8 and (94/141)/((-160)/51).
80
Let u = 2959/5 + -64553/110. What is the common denominator of u and 1/6?
66
Suppose 2 = -5*w - 4*k + 11, 5*k - 8 = -3*w. Let c be w/(-3) - 73945/(-66). Let q = c + -1124. Find the common denominator of q and -65/8.
88
Calculate the common denominator of -29/99 and ((-202)/14)/(198/21).
198
Let r be (-16)/(61/30 - 2). What is the common denominator of 4/(-1) - 2748/r and 65/16?
80
Let n be 6824/(-40) + (0 - 1). Let h = n - -15589/90. Calculate the common denominator of -97/20 and h.
180
Let j(i) = 2*i**3 + i**2 - 2*i - 9. Let z be j(0). Let s = z + 10. What is the lowest common multiple of s and 18?
18
Calculate the common denominator of 125/18 and ((-47)/18)/(720/270).
144
Let y = 14342 - 200685/14. Let w be (-5877)/(-15) + 2 - -1. Let z = -16157/40 + w. Calculate the common denominator of z and y.
56
Suppose 11 = -11*h - 55. What is the common denominator of 53/18 and 2026/84 + h/21?
18
Suppose 3*z - 6 = -a, 0*a = 3*z - 4*a - 6. What is the common denominator of -77/8 and ((-59)/z)/(5 - 6)?
8
Let s = 1060/41 - 202003/7872. What is the common denominator of 127/12 and s?
192
Suppose 2*t - 2*y - 254 = 0, 24*y - 29*y + 25 = 0. Calculate the least common multiple of 8 and t.
264
Suppose 39*w - 15 = 36*w. Calculate the lowest common multiple of 20 and w.
20
Let n be 2 + 2 + 760/(-10). Let k be n/(-126)*(7 + 0). Suppose -6 = -2*s + 3*p - p, 3 = k*s + 5*p. What is the smallest common multiple of s and 8?
8
Suppose 0 = -4*p + 20. Suppose 2*t + 28 = 4*t - 5*u, -5*u = 3*t + 8. Calculate the lowest common multiple of t and p.
20
Let l(j) = j**3 + 4*j**2 - 4*j - 4. Suppose 5*m - 2*m = 12. Calculate the least common multiple of l(-4) and m.
12
Let v be (-55 - -52) + (63 - 1)/2. What is the least common multiple of 1/(-4)*-6*v/3 and (-440)/(-28) + 4/14?
112
Let q = 2720 + -5083. Let i = 7229/3 + q. Let n = i - 45. Find the common denominator of 7 and n.
3
Suppose 0 = -5*z - y - 72 + 188, z = -5*y + 28. Let g(w) = 11*w + 3. Let p be g(-2). Let d = z + p. Calculate the smallest common multiple of 3 and d.
12
Let a be 7180/90 + (0 - (-4)/18). Let n = -76 + a. Calculate the smallest common multiple of 2 and n.
4
Let s = -118849/7506 - -2/3753. Find the common denominator of -2*(-51)/150 - 2 and s.
150
Let d = -53467/1258 + 1/629. Find the common denominator of -49/27 and d.
54
Let s = 20276 - 243175/12. Calculate the common denominator of 17/270 and s.
540
Find the common denominator of 71/10 and 7/((-49)/(-7)) + 162/(-116).
290
Let h be (-6)/((4/(-2))/(-2)). Let y = 1604/9 + -4081/18. Calculate the common denominator of y and (5/(-15))/(h/(-142)).
18
Suppose 5*w + 220 = -6*w. What is the least common multiple of 4*(-25)/w + -1 + -2 and 6?
6
Let l(u) = 19*u**3 - 3*u + 2. Suppose 2*r - s = 24, -4*s - 12 = -s. What is the least common multiple of r and l(1)?
90
What is the common denominator of 23/(-8)*(-3 + 8 + -4) and 31/812?
1624
Suppose -22*t = -4808 - 1242. What is the smallest common multiple of t and 8?
2200
Let n = -125 + 1249/10. Let v = -535 - -1649/3. Calculate the common denominator of v and n.
30
Let w be ((-19)/(-475))/(-6*(-1)/(-3810185)). Let g = 25404 + w. What is the common denominator of -7/15 and g?
30
Let y = 479 + -2977/6. What is the common denominator of 49/74 and y?
222
Let f(g) be the third derivative of g**6/40 + g**5/3 - g**4/3 + g**3/3 + 3*g**2 + 12*g. Calculate the smallest common multiple of f(-7) and 2.
18
Suppose 93*b = -2*a + 97*b + 40, 2*a = -3*b + 5. Let y(u) = u**3 - 4*u**2 + 4*u + 4. What is the smallest common multiple of a and y(4)?
20
Let h be 10/(-45) - (-202)/18. What is the common denominator of 19/18 and h/55 - (-818)/(-140)?
126
What is the common denominator of (-1 - -3) + (-67)/11 and (-25)/(-100) + (-271)/(-12)?
66
Let c = 61 + -26. Suppose p = c - 3. What is the smallest common multiple of 10 and p?
160
Calculate the smallest common multiple of 10 and 10/6*180/25.
60
Suppose 9*x - 196 = 1154. What is the smallest common multiple of x and 14?
1050
Let t = 27 + -57. Calculate the common denominator of -9/2 and (t/2)/1 - 3/2.
2
Let a = -821/20 + 179/4. Let g(r) = r**3 - 3*r**2 - 3*r. Let l = -19 - -17. Calculate the common denominator of g(l) and a.
10
Let a = -6262665049/26 - -240841504. Let n = 30225 + a. Find the common denominator of n and 41/14.
182
Suppose -x = 2*g - 6*x + 317, 3*g - 5*x = -488. Let a = -169 - g. Calculate the least common multiple of a and 4.
4
Calculate the smallest common multiple of ((-231)/(-4))/(-9*11/(-396)) and 70.
2310
Suppose 16*b - k + 394 = 19*b, 538 = 4*b - 5*k. Calculate the smallest common multiple of 3 and b.
132
Let j = 76/11 - 866/33. Let w = 2169723/328 + -6615. Let m = w - -22277/2952. What is the common denominator of j and m?
9
Suppose 0 = 9*z - 7*z - 266. Let k = z + -83. Calculate the common denominator of k and 887/(-18) - (-4)/(-18).
2
Calculate the lowest common multiple of 4 + (-2 - 63/(-9)) and 157.
1413
Let z = -586/15 - -1049/30. What is the common denominator of z and 283/10 + (-6)/(-30)?
10
Let h be 14/(-3)*(-42 + 60). Suppose -v + 7 + 17 = 0. Find the common denominator of (1 + 1)*v/h and 29/9.
63
Let m(n) = 16*n**3 - n + 1. Suppose -80 = k - 5*k. Suppose -8*x + 44 = -k. Calculate the lowest common multiple of m(1) and x.
16
Let y = 15 - 13. Suppose 53 = 3*k + w, -2*k + 3*w = y*k - 49. Let a = -4 - -8. Calculate the least common multiple of k and a.
16
Let g = 12 - 4. Suppose 2*j + 32 = 2*b, 0*j + 52 = 3*b - 4*j. Calculate the least common multiple of g and b.
24
Calculate the common denominator of (-1056)/600 - (-4)/1 and 9/10.
50
Calculate the smallest common multiple of 18 and 5/(-2)*(-11 - 79410/50).
35982
Suppose 0*l = -2*r + 2*l - 4774, 2*l - 11920 = 5*r. What is the common denominator of (-9)/(-6 + 3) + 200/15 and 4/18 - r/(-108)?
6
Suppose 3*q - 11547 = 6*q. Let x = -23179/6 - q. Calculate the common denominator of x and (1 - (-246)/(-48))*12.
6
Let k be -1 - 6/(18558/(-3075)). Let i = k + -17479/8248. What is the common denominator of -113/20 and i?
40
Let x = 1151447/435 + -2647. Let i = x + 12607/1740. Find the common denominator of 61/20 and i.
20
Find the common denominator of -157/42 and 1100/(-320) - 1/((-2)/6).
336
Let p be -1*9/(-30)*5*-4. Calculate the common denominator of (-5 - -6)/(6/183*p) and 34/27.
108
Suppose -22 + 52 = 5*b. Let o = -14395/272 - -854/17. Find the common denominator of o and 8/16 - 38/b.
48
Let d = 93183/34 + -2740. Let x = 10032 + -160607/16. What is the common denominator of d and x?
272
Let u = 582 - 24443/42. Find the common denominator of u and -125/12.
84
Let m = -213026/21 + 10148. Calculate the common denominator of m and -5/42.
42
Calculate the common denominator of 29/(-27) - (-3 - (-1 + -3)) and 109/72.
216
Let x = -5782507/60 - -455381/5. Let y = x + 5308. What is the common denominator of (-6)/60*(1*238)/2 and y?
60
Find the common denominator of 348/(-72)*(5/(-4))/1 and -11/54.
216
Find the common denominator of (-85)/60*(-56)/(-35) and 17/27.
135
Let d = 22273 - 38287285/1719. Let q = 6058241433 - 41656467960937/6876. Let h = d - q. What is the common denominator of h and -73/12?
12
Let t = 156/67 + 3039/335. What is the common denominator of -36/869 and t?
4345
Let f(k) = k**2 + 6*k - 15. Let b = 14 + -10. Calculate the least common multiple of f(-9) and 5 - ((-20)/b - -2).
24
Let z = 792 - 772. What is the least common multiple of 6738 and z?
67380
Let w = 80 + -84. Find the common denominator of w/30*-12 + 30/(-10) and -1 + -1 + 74/(-12).
30
Let f(u) = u**2 + 15*u + 5. Let k be f(-15). What is the lowest common multiple of (63/6)/((45/24)/k) and 16?
112
Suppose -2*f + 881 = 185. Let o = -5209/15 + f. What is the common denominator of -53/33 and o?
165
Let z = -22 - -66. Calculate the least common multiple of z an
|
{
"pile_set_name": "DM Mathematics"
}
|
5, 3557
Let i(y) = 118*y + 298. What are the prime factors of i(40)?
2, 13, 193
Suppose -11*v - 44*v + 616876 = -3*v. List the prime factors of v.
11863
Suppose -8746 = -2*p - 3*z + 9538, 45737 = 5*p + 3*z. List the prime factors of p.
9151
Suppose 0 = 10*o + 28 - 28. Suppose -15*a - 3*b = -11*a - 8317, 2*a - 2*b - 4162 = o. List the prime factors of a.
2, 5, 13
Suppose 5*w - 21790 = 2*v + 64127, -2*v - 17193 = -w. What are the prime factors of w?
3, 23, 83
Let m(f) = 4*f - 19. Let u be m(4). Let l be (1 - u)/(22/3784). Suppose -i = 3*i - l. List the prime factors of i.
2, 43
Let u be 8/(11/(-6) - 2/(-1)). Let i = 41 - u. Let d = i - -101. What are the prime factors of d?
2, 47
Let d be (65/4)/((-2)/16*1). Let q = d + 378. Suppose 0*j + q = 5*j - 3*l, 2*j - 96 = 2*l. List the prime factors of j.
2, 13
Let s = 12325 + -2554. What are the prime factors of s?
3, 3257
Let l be 1 + (7 - 2*-170). Let v = 653 - l. List the prime factors of v.
5, 61
Suppose -25 = -5*l + 3*t, -3*l - 4*t + 5 = -2*l. Suppose -1329 = -3*b - l*k + 637, -5 = 5*k. List the prime factors of b.
3, 73
Suppose 5*n - m + 112241 = 0, 0 = 4*n - m + 48849 + 40943. What are the prime factors of (-10)/(-75) - n/45?
499
Suppose 0 = -5*p + 4*n + 59396, -20*p + 17*p + 35642 = 2*n. What are the prime factors of p?
2, 3, 5, 11
Let y = 375 + -366. List the prime factors of (-10934)/(-10) + y/15.
2, 547
Let n = -20 + 21. Let f be ((-28)/20 + n)*-10. Suppose 5*y - 7*y + f = 0. List the prime factors of y.
2
What are the prime factors of 47944 + (-3 - 2) + (-37)/((-333)/54)?
5, 43, 223
Let m(u) = -8 + 3 + u**2 - 4 + 18 + 15 - 11*u. Suppose -4*i + 2*c = -i - 38, -i + 9 = 3*c. What are the prime factors of m(i)?
2, 3
Let b = 79 + -77. Suppose b*m + 615 = 5*m. Let h = 370 - m. List the prime factors of h.
3, 5, 11
Let x(t) = -t**3 + 52*t**2 + 54*t - 47. Let y be x(53). Suppose y*k - 3073 = 929. List the prime factors of k.
23, 29
Let z = 166 - 166. Suppose 0 = 2*f + 5*i - 389, z = -5*f + 5*i + 821 + 204. What are the prime factors of f?
2, 101
Let p(i) = 26*i - 14*i - 2*i**3 - 18*i**2 + 9*i + 64. List the prime factors of p(-11).
317
Let m(v) be the first derivative of -v**4/4 + v**3 - v - 13. Let n be m(2). What are the prime factors of ((-1148)/(-21))/(2/n)?
2, 41
Let j = 17902 - 8802. What are the prime factors of j?
2, 5, 7, 13
Let i(x) = 3*x**3 - 5*x**2 - 17*x - 8. Let o be i(-5). Let a = o - -911. List the prime factors of a.
2, 61
Let k(u) = u**2 - 2*u + 6509. What are the prime factors of k(0)?
23, 283
Let s(k) = -2*k + 2. Let n be s(0). Let i be 49 + (n - 6 - 0). Let u = i - -49. What are the prime factors of u?
2, 47
Suppose 107624 + 16745 = 8*a - 85551. List the prime factors of a.
2, 5, 41
Let o(f) = 16*f**2 + 77*f + 25. Let m be o(-10). Let b = 126 + m. List the prime factors of b.
3, 109
Suppose -4 = -2*s, -7 = p - 5*s - 0*s. Suppose 2*i - 62 = -2*h, -p*i + h + 97 = 5*h. List the prime factors of i.
3
Let m(r) = -547*r + 44. Let z be m(-1). Let p = 67 + z. List the prime factors of p.
2, 7, 47
Let w = -3684 - -3669. Let h be (-2 + 4)*(-2 + 1). List the prime factors of (-55 - (h + 3))/(6/w).
2, 5, 7
Let u(b) = 747*b - 99. List the prime factors of u(12).
3, 5, 197
Let q(a) = -25*a - 111. Suppose -51 = -c + 4*c + o, 4*o = -12. List the prime factors of q(c).
17
Let g = -149 + 152. Suppose -5*j + g*y + 1482 = y, 1186 = 4*j - 2*y. What are the prime factors of j?
2, 37
Let k(o) = o**2 + 17*o + 5855. What are the prime factors of k(0)?
5, 1171
Let g(t) = 5*t**2 + 30*t + 58. Let d(l) = 9*l**2 + 61*l + 114. Let x(q) = 3*d(q) - 5*g(q). What are the prime factors of x(-25)?
3, 53
Suppose -172*h + 530*h - 614 = 460. Let x be ((-47)/2)/((-2)/48). Suppose 2*w = 4*m - 3*w - x, -h*m + 3*w = -426. List the prime factors of m.
2, 73
Let r = 4867 - 4. List the prime factors of r.
3, 1621
Let f be 547*(-4 + 0 + 2). Let l = f - -1930. Suppose 0*c = 11*c - l. List the prime factors of c.
2, 19
Let d(x) = -323 + 27*x - 8*x + 91*x - 3*x - 16*x. List the prime factors of d(16).
11, 103
List the prime factors of 17 + (-7 - 13) + (-1 - -3513).
11, 29
Let w be 1 + (12/3 - -2). Suppose w*y - 9*y = 160. List the prime factors of -1 + 0 - (0 + y).
79
List the prime factors of 24240 + (-1 - 1)*(0 + (-42)/12).
24247
Let o(k) = -307*k - 429. List the prime factors of o(-8).
2027
Let u(i) = 26*i + 29. Let g(n) = -n - 1. Let o(s) = -g(s) + u(s). Let j be o(4). Let t = j - 23. List the prime factors of t.
5, 23
Suppose 22*f - 127286 = 15*f + 61231. List the prime factors of f.
3, 47, 191
What are the prime factors of (21/7)/(30/(-11764))*(-5)/2?
17, 173
Suppose -p = -4*l - 1662, 142 = 4*l + 5*p + 1792. List the prime factors of (4 + -24)*l/10.
2, 5, 83
Let m be 1180/(-60) - (-1)/(-3). Let c(k) = 4*k + 82. Let d be c(m). Suppose d*z - 25 = 2*f + 93, 5*z + 3*f = 311. What are the prime factors of z?
61
Let k(c) = 4*c**2 - 15*c + 59. Let s(j) = -2*j**2 + 16*j - 8. Let d be s(7). What are the prime factors of k(d)?
113
Suppose 20 = 3*y + y. Let m be (0/2)/(y/5). Suppose m = -8*w + 12*w - 196. List the prime factors of w.
7
List the prime factors of (-1)/5*2501915/(-61).
13, 631
Let r(y) = y + 4. Let h be r(-1). Suppose 2*u = -h*u + 180. Suppose g - 29 = x + u, 3*x = -4*g + 232. List the prime factors of g.
61
Suppose 2*b = -m - 679, -m + 2*b - 707 = -3*b. Suppose -6*d = 103 + 41. List the prime factors of (m/(-12))/((-6)/d).
229
Let v(g) = -1209*g - 418. List the prime factors of v(-6).
2, 1709
Let l = 6122 + -3014. List the prime factors of l.
2, 3, 7, 37
Let o(t) = 446*t**2 - 73*t - 5. What are the prime factors of o(-4)?
13, 571
Suppose -145 = -h - 2*o - 0*o, h - o = 136. Suppose -5*g = h - 874. Let v = g + -94. List the prime factors of v.
53
Suppose i + 29471 - 6896 = m, 0 = 4*m + 2*i - 90336. List the prime factors of m.
3, 13, 193
Let q(i) = i**2 - 13*i + 21. Let v be q(14). Let x be ((-14)/v)/(1/(-5)). Suppose 4*w - x*h = 496, 3*w - h - 360 = 14. What are the prime factors of w?
2, 3, 7
Let n(u) = 12*u**3 - 12*u**2 - 13*u + 124. What are the prime factors of n(7)?
3, 1187
Let w(s) be the first derivative of 68*s**3 - 19*s**2/2 + 36*s - 101. List the prime factors of w(2).
2, 11, 37
Suppose 0 = 11*m + 2*m + 52. List the prime factors of 0/(8/((-16)/m)) - -399.
3, 7, 19
What are the prime factors of (-163569)/(-14) - 27/(-6)?
2, 3, 487
Let b(k) = k + 18. Let r be b(-16). Suppose 2*w - 32 = -r*f, 2*f - 4 = -2*f. What are the prime factors of w?
3, 5
Let i(h) = -h**3 - 3*h**2 - 4*h. Let x be i(-1). Suppose x*c = -3*t + 260, 0 = -2*c + 5*t - t + 246. What are the prime factors of c?
127
Let d = 36 + -39. List the prime factors of (297/36*2)/(d/(-28)).
2, 7, 11
Suppose -6*a = -14*a + 4512. Suppose 39*u = 27*u + a. List the prime factors of u.
47
Let k(f) = -9*f - 3. Let h be k(-18). Let c = h + -89. Suppose -c = -11*d + 370. What are the prime factors of d?
2, 5
What are the prime factors of ((-5525)/15)/((-16)/64 - (-11)/60)?
5, 13, 17
Suppose -20*l - 16*l = -14*l - 275154. List the prime factors of l.
3, 11, 379
Suppose 5*x - 3010 = -5*u, 40*u - 37*u + 622 = x. List the prime factors of x.
607
What are the prime factors of 2/((-2043690)/(-157206) - 13) + -12?
26189
Let h = -4525 - -2914. Let t = h - -2524. What are the prime factors of t?
11, 83
List the prime factors of 10/(((-5)/3305)/(-1)).
2, 5, 661
Suppose 4*i - 42*c + 22 = -39*c, -2*i + c = 12. List the prime factors of ((-1565)/10)/(i/14).
313
Let m = -390 - -1007. Let q = m - 407. List the prime factors of q.
2, 3, 5, 7
Let p(c) = -60*c + 60. Let d(z) = 31*z - 30. Let t(b) = 10*d(b) + 6*p(b). List the prime factors of t(-5).
2, 5, 31
Let f(c) = 11*c**2 - 36*c + 2663. What are the prime factors of f(50)?
113, 251
Let q(x) = 358*x**2 - 4*x + 5. Let a be q(2). Suppose 0 = -4*n, -3*g = -3*n - 230 - a. List the prime factors of g.
7, 79
Suppose 5*s - z - 21 = 0, 10*z - 12 = -4*s + 12*z. Suppose k - 79 = -22. Suppose -m - 4*v = -56 - k, -s*m = 2*v - 511. List the prime factors of m.
101
Let q(n) = -248*n + 2080. What are the prime factors of q(-21)?
2, 911
Let s(i) = -94*i**2 - i + 3. Let b = -27 - -35. Let n(o) = -283*o**2 - 3*o + 8. Let j(r) = b*s(r) - 3*n(r). What are the prime factors of j(1)?
2, 7
Let i(w) = -2*w + 17. Let p be i(10). Let r be (p/2)/((-3
|
{
"pile_set_name": "DM Mathematics"
}
|
ggg?
7/15
What is prob of sequence xiv when three letters picked without replacement from {x: 6, v: 2, i: 10}?
5/204
Three letters picked without replacement from {o: 6, i: 2, j: 2, z: 9}. Give prob of sequence ioo.
10/969
Four letters picked without replacement from zbbzuzbztbtu. Give prob of sequence zbut.
8/1485
Calculate prob of sequence jiii when four letters picked without replacement from jijjijijjijji.
4/143
Calculate prob of sequence ys when two letters picked without replacement from ysssysysssssss.
33/182
Calculate prob of sequence hi when two letters picked without replacement from iiiihihhhhihi.
7/26
What is prob of sequence bbes when four letters picked without replacement from {e: 2, b: 2, s: 9}?
3/1430
Three letters picked without replacement from llwullhyy. What is prob of sequence yuy?
1/252
Four letters picked without replacement from mmwmwmmmmwwww. Give prob of sequence wwmw.
7/143
Four letters picked without replacement from {o: 7, l: 2}. Give prob of sequence oooo.
5/18
What is prob of sequence mqmr when four letters picked without replacement from {q: 2, r: 4, m: 4}?
2/105
What is prob of sequence flfa when four letters picked without replacement from lilalfflafalaal?
1/182
Calculate prob of sequence ulb when three letters picked without replacement from {b: 5, u: 1, l: 1, m: 1, e: 1}.
5/504
What is prob of sequence rnzr when four letters picked without replacement from rnrrbbnrqz?
1/210
Three letters picked without replacement from {y: 3, m: 1, e: 4}. Give prob of sequence yem.
1/28
Three letters picked without replacement from {v: 4, k: 1, i: 2, n: 1, x: 3}. Give prob of sequence kvi.
4/495
What is prob of sequence lll when three letters picked without replacement from {d: 2, b: 10, l: 3, m: 5}?
1/1140
What is prob of sequence fif when three letters picked without replacement from {i: 11, j: 1, f: 8}?
77/855
Four letters picked without replacement from {m: 7, y: 3}. Give prob of sequence ymym.
1/20
Three letters picked without replacement from {h: 12, c: 7}. Give prob of sequence hhc.
154/969
Calculate prob of sequence al when two letters picked without replacement from eallja.
2/15
Three letters picked without replacement from chhmmyhymmyhmm. What is prob of sequence mmy?
15/364
Calculate prob of sequence yyny when four letters picked without replacement from {n: 7, y: 12}.
385/3876
Three letters picked without replacement from {w: 7, a: 1, p: 2}. What is prob of sequence pww?
7/60
Two letters picked without replacement from ffffiliufhfulu. Give prob of sequence hh.
0
What is prob of sequence oo when two letters picked without replacement from iqiioiiqiiqqiqiiiiii?
0
Calculate prob of sequence pszg when four letters picked without replacement from pzsig.
1/120
Two letters picked without replacement from {f: 2, o: 1, z: 1, b: 1, r: 1, v: 1}. Give prob of sequence vo.
1/42
Four letters picked without replacement from cemcncmnyeeegcccc. Give prob of sequence gcyc.
1/1360
Calculate prob of sequence kl when two letters picked without replacement from {l: 1, m: 5, k: 3, c: 9}.
1/102
Two letters picked without replacement from {c: 8, m: 6, t: 1, j: 1}. What is prob of sequence cj?
1/30
Three letters picked without replacement from {r: 4, f: 6, i: 1}. What is prob of sequence frf?
4/33
What is prob of sequence ktkt when four letters picked without replacement from {p: 5, t: 4, k: 5}?
10/1001
Four letters picked without replacement from ummummummmm. What is prob of sequence uumu?
1/165
What is prob of sequence ih when two letters picked without replacement from {i: 2, h: 1}?
1/3
Three letters picked without replacement from {y: 7, j: 3, p: 2, d: 5, g: 1, m: 2}. Give prob of sequence djj.
1/228
Two letters picked without replacement from nacpachn. What is prob of sequence hp?
1/56
What is prob of sequence avt when three letters picked without replacement from {q: 1, z: 1, v: 1, t: 8, a: 2, g: 1}?
2/273
Four letters picked without replacement from ffkhspa. What is prob of sequence pafs?
1/420
Three letters picked without replacement from lyypylqywp. What is prob of sequence ylw?
1/90
Two letters picked without replacement from vkkgbgpf. Give prob of sequence fp.
1/56
What is prob of sequence by when two letters picked without replacement from sbyawbsbaaaa?
1/44
Calculate prob of sequence hoh when three letters picked without replacement from hxohhkhohhhhokkhkhh.
55/969
Four letters picked without replacement from {j: 5, c: 5}. What is prob of sequence cjcj?
5/63
Calculate prob of sequence kckc when four letters picked without replacement from kccck.
1/10
Two letters picked without replacement from {n: 1, a: 2, k: 1, x: 1}. What is prob of sequence kx?
1/20
What is prob of sequence rcru when four letters picked without replacement from ccucccrrcucr?
7/990
Calculate prob of sequence jjj when three letters picked without replacement from jpujqqjqqqppppq.
1/455
Three letters picked without replacement from {q: 11, f: 1, i: 3}. Give prob of sequence ifq.
11/910
Three letters picked without replacement from {t: 3, a: 1, e: 4}. Give prob of sequence eea.
1/28
What is prob of sequence bn when two letters picked without replacement from ggqgkbbgqbnokbbbggbb?
2/95
Three letters picked without replacement from {v: 4, k: 4, m: 1, z: 2}. What is prob of sequence mkv?
8/495
What is prob of sequence lbld when four letters picked without replacement from {b: 1, d: 3, r: 1, s: 1, l: 5, m: 1}?
1/198
Three letters picked without replacement from {s: 15, o: 5}. What is prob of sequence sos?
35/228
What is prob of sequence usr when three letters picked without replacement from {u: 1, s: 1, r: 1, c: 2}?
1/60
Three letters picked without replacement from {w: 4, u: 2, o: 3, l: 1}. What is prob of sequence uow?
1/30
What is prob of sequence eojv when four letters picked without replacement from vevjeoejjje?
2/495
What is prob of sequence tkt when three letters picked without replacement from {k: 3, t: 3, u: 2}?
3/56
Three letters picked without replacement from crmyyconrnrnmrmmnnno. Give prob of sequence crm.
4/855
What is prob of sequence mec when three letters picked without replacement from coiiceetitmtemm?
3/455
Four letters picked without replacement from {r: 1, n: 1, g: 3, e: 4, w: 2}. Give prob of sequence erge.
1/220
What is prob of sequence wyw when three letters picked without replacement from wywwwwy?
4/21
Three letters picked without replacement from nenefefeeeff. What is prob of sequence fee?
1/11
Three letters picked without replacement from {s: 5}. What is prob of sequence sss?
1
What is prob of sequence rsr when three letters picked without replacement from rrsrssrsrrsssrrsssr?
40/323
What is prob of sequence jhvc when four letters picked without replacement from {e: 1, c: 1, p: 2, j: 1, v: 1, h: 1}?
1/840
What is prob of sequence bk when two letters picked without replacement from {b: 11, k: 3}?
33/182
Four letters picked without replacement from buuxubzxxx. What is prob of sequence bzbz?
0
Four letters picked without replacement from iqniniqnninnninq. Give prob of sequence inin.
1/39
Two letters picked without replacement from {f: 1, x: 12, a: 7}. Give prob of sequence ax.
21/95
Calculate prob of sequence ll when two letters picked without replacement from lvll.
1/2
Two letters picked without replacement from ckkklvlklcvccvkvkk. What is prob of sequence kc?
14/153
Calculate prob of sequence eff when three letters picked without replacement from fffeffff.
1/8
Calculate prob of sequence mm when two letters picked without replacement from hmhrh.
0
What is prob of sequence cw when two letters picked without replacement from fwhffkc?
1/42
What is prob of sequence mj when two letters picked without replacement from iimijmjji?
1/12
Four letters picked without replacement from {r: 2, t: 2, u: 1}. Give prob of sequence rrur.
0
Two letters picked without replacement from aausjja. What is prob of sequence as?
1/14
Calculate prob of sequence pp when two letters picked without replacement from pppqppqp.
15/28
What is prob of sequence nj when two letters picked without replacement from {n: 2, b: 1, p: 1, j: 1}?
1/10
Four letters picked without replacement from {p: 6, j: 2}. What is prob of sequence pjpp?
1/7
What is prob of sequence hkyk when
|
{
"pile_set_name": "DM Mathematics"
}
|
+ 6*c**3 + 2289*c - 2268*c to the form g*c**2 + w*c**4 + l + d*c + r*c**3 and give r.
2
Express 5343*l - 9742 + 9742 as v*l + b and give v.
5343
Rearrange 2*h + 2 - 2 + (3*h + 0*h - h)*(4 - 2 - 3 + (-1 - 1 + 0)*(-2 + 1 + 2) - 2216 - 2421 + 4996 - 1763) to the form y*h + j and give y.
-2812
Express (1847*z + 91409*z + 50900*z + 21210*z + 18631*z + 63516*z)*(-z**2 + 4*z**2 - 4*z**2) in the form r*z**3 + y + s*z + k*z**2 and give r.
-247513
Rearrange (2*t**3 - 5*t**3 + 2*t**3)*(-2659*t + 5055*t - 834*t + 22565*t + 7161*t + 3834*t) to the form f + y*t**4 + q*t**2 + p*t**3 + h*t and give y.
-35122
Rearrange (12414 - 1277 - 777)*(-4*z**3 + 2*z**3 + 0*z**3)*(0*z - 4*z + 3*z) to c*z + o*z**2 + q + b*z**4 + x*z**3 and give q.
0
Rearrange (-7*q - 6*q + q)*(4*q**2 - 3*q**2 + q**2) + 4*q**2 - 233103*q - 2 + 233098*q - 1 + 9*q**3 to the form t*q + l*q**3 + b*q**2 + s and give s.
-3
Express 4*t - 2*t - t + (-3*t + 3*t - t)*(-1 + 0 - 1) + 2 + t - 2 + 27*t - 1507 + 12*t + 4685 + t - 1937 in the form i*t + v and give v.
1241
Rearrange -16*h**4 + 22*h**4 + 6*h**2 - 110 - h - 16*h**2 + 9*h**2 to i*h**4 + r*h**3 + m*h + n*h**2 + z and give i.
6
Rearrange (3*m - m + 0*m)*(-45171*m**2 - 6*m - 47856*m**2 + 18*m - 12*m) to the form i*m**3 + l*m + w + a*m**2 and give i.
-186054
Express -7*l - 62 - 2*l**3 - l + 171 + 3*l in the form i*l + b*l**3 + h + k*l**2 and give i.
-5
Express -51*g + 107*g - 53*g - 43 as p*g + d and give p.
3
Rearrange 6443*z + 1 - 1 - 15*z**2 - 3671*z - 3278*z to the form f*z + b*z**2 + y and give b.
-15
Express 13822*w + 4095*w + 11206*w - 1430*w as t + y*w and give y.
27693
Express 3*d**2 + 0*d**2 - 2*d**2 + (1348 + 1353 + 2460*d - 2703)*(-2*d + 4 - 4) as q*d + k*d**2 + a and give a.
0
Express 183*g - 2*g**2 - 345*g - 42*g**3 - 21*g**3 + 170*g as c*g + u + z*g**3 + t*g**2 and give z.
-63
Express 52*n + 5*n**2 - 5*n**2 + 2*n**2 - 125 - 106*n + 52*n in the form y*n + b + v*n**2 and give y.
-2
Rearrange 600*x - 40 + 43*x**3 - 3*x**2 - 205*x - 54*x**3 - 201*x - 197*x to the form i + r*x**3 + o*x + u*x**2 and give r.
-11
Rearrange 49 + 7*y + 5*y**2 + 25 + 77 - 106 to r*y**2 + a + q*y and give q.
7
Rearrange 9*o**2 - 331*o - 1469*o + 980*o - 501*o to the form l*o**2 + p + y*o and give l.
9
Rearrange 179 - 186 - 187*h - 192*h to l*h + r and give l.
-379
Express (2*l - 3*l + 3*l)*(2*l + 0*l + 0*l) + 2786*l**2 - 176*l**2 + 1049*l**2 in the form b*l + y + p*l**2 and give p.
3663
Rearrange -237*h**2 - 2*h**3 - 246*h**2 - 30*h + 480*h**2 - 16 to the form d*h**2 + i*h + a*h**3 + g and give i.
-30
Rearrange (-2*w + 3*w - 3*w)*((0*w - 4*w + 13*w)*(-2 + 0 + 4) + (4 + 2 - 3)*(69*w - 87*w + 212*w)) to s*w**2 + f*w + l and give s.
-1200
Rearrange -7 + 168*m - 3*m**2 - 66*m + 5 + 2 to u*m**2 + g*m + s and give u.
-3
Express (5*o - 2 + 4 - 9*o)*(30*o + 904*o - 320*o) as h + r*o**2 + d*o and give r.
-2456
Express 9035*z + 0*z**3 - 9035*z - 55*z**4 + 10 - 2*z**2 + 3*z**3 in the form w*z**4 + x*z + d*z**2 + c*z**3 + q and give w.
-55
Express (-s - 1 - 1 + 0)*(293 + 3*s**3 + 111*s - 584 + 2*s**2 + 292) as z*s**3 + f*s**2 + v*s + y + o*s**4 and give v.
-223
Rearrange 2*j**3 - 12 - 668*j + 713*j + 16 to the form l*j + g*j**3 + b + i*j**2 and give g.
2
Rearrange 238*o**2 + 176*o**2 - 240*o**2 + (-3*o - o + 3*o)*(3*o - 5*o + 0*o) - 3*o**2 - o**2 + 3*o**2 to the form n + b*o + m*o**2 and give m.
175
Express 4*n**3 - 17804*n**2 + 4*n + 35616*n**2 - 17810*n**2 in the form b*n**2 + y + c*n + l*n**3 and give c.
4
Express (-847 - 86 - 63)*(2 + 3 - 7)*(2*b + 3*b - 3*b) as h*b + z and give h.
3984
Rearrange -119*q + 11 - 4*q**3 - 6 - 8 - 2 + 3 to u*q**2 + v*q + d*q**3 + c and give d.
-4
Rearrange 83456*p**2 - 83412*p**2 + 6 + 2*p**3 - p**3 to the form u*p + t*p**2 + b + c*p**3 and give b.
6
Rearrange -271656 + 271656 - 5088*h to b + z*h and give b.
0
Express -31*r - 51*r + 23*r + 37 + 27*r in the form s*r + t and give s.
-32
Express -2*m**3 + m**2 - m**2 + (-5514 + 11008 + 6949*m - 5492)*(-m**2 - 4*m**2 + 2*m**2)*(2 - 3 + 0) as h*m**2 + n + c*m**3 + i*m and give h.
6
Rearrange (2*p**2 + 8*p**2 + 0*p**2)*(-2*p + p + 0*p) + 759 - 334*p**3 - 759 to o*p + r*p**2 + l + h*p**3 and give h.
-344
Rearrange (-60 + 43 + 2*q - q)*(0 + 0 + 1)*((q - 3*q - 2*q)*(120 - 52 - 46) + 2 + q - 2) to the form w + l*q + v*q**2 and give w.
0
Express (-106*u - 23*u + 36*u)*(-59*u - 48*u + 32*u) in the form p + k*u**2 + a*u and give k.
6975
Rearrange (-4806499*f - 1 + 4806499*f - 32*f**2)*(7*f + 4*f - 6*f) to n + l*f**3 + p*f**2 + w*f and give l.
-160
Express (-5 - 2 + 4)*(2*t + 19*t + 15*t)*(-7*t + 6*t + 9*t) in the form m*t + z*t**2 + l and give m.
0
Rearrange (1205 - 2780 + 1315)*(6*t - 4*t - 4*t)*(1 - 1 - 3*t)*(-1 - 3 + 3) to the form p*t**2 + x + f*t and give p.
1560
Rearrange 48*s - 23*s + 4*s + 8*s - 42*s**2 to q*s + c + m*s**2 and give m.
-42
Express -461*j**3 + 2*j - 4 + j**4 - 5*j - 92*j**4 + 462*j**3 + j as c*j + s*j**3 + o + i*j**2 + z*j**4 and give z.
-91
Rearrange -10*o**2 + 24*o**2 - 9*o**2 + 2*o**4 - 2*o**2 + 0*o**4 - 154*o**3 to the form m*o**2 + x*o + q*o**4 + p + b*o**3 and give m.
3
Express -2*y**3 + 2*y**3 + y**3 + (-5874*y**2 - 162*y**2 - 6078*y**2)*(5*y - 2*y - 2*y) in the form l*y + q + i*y**3 + p*y**2 and give i.
-12113
Express (10*j + 17*j - 4*j)*(197 - 118 - 118) + (-1 + 2 + 1)*(-3 - 2*j + 3) + 2*j - 4*j + j as b*j + c and give b.
-902
Express 23*y - 11*y - 18*y - 12*y + 0*y + 5*y - 3*y - 5*y + 3*y + 6*y + (0 + y + 0)*(0 + 0 + 7) in the form i*y + l and give i.
-5
Rearrange -240*s**2 + 149*s**2 - 416*s**2 to v + z*s**2 + c*s and give z.
-507
Express 63682*y**3 - 31863*y**3 + 3*y - 84 - 31854*y**3 - y**2 - 3*y as t*y**3 + j*y**2 + u*y + a and give a.
-84
Rearrange 11*i + 3*i**2 + 50 - 3 - 7*i**3 - i**2 - 7*i to the form s*i + t + y*i**2 + p*i**3 and give p.
-7
Express (4 + 2 - 5)*(-2 + 1 + 2)*(-3 + 1 + 4)*(-3*b + 2*b + 3*b) + (-3 + 4 - 4)*(5*b - 3*b - b) + 740*b + 727*b - 1130*b in the form v*b + o and give v.
338
Rearrange -1441*w - 843*w - 125*w + 429*w to the form j + o*w and give o.
-1980
Rearrange -7*n + 224*n**2 + 243*n**2 - 465*n**2 + 166 to g*n**2 + z*n + l and give z.
-7
Express (-413 - 195 - 297 + 284 - 1011)*(-1 - u + 1) - 6*u + u + 3*u in the form s*u + g and give s.
1630
Rearrange (-14 - 2 + 1)*(b - 1889*b**2 - b + 484 - 484 - 764*b**2) to the form f*b + l + m*b**2 and give m.
39795
Rearrange 2*z**4 + 27*z**2 + 2*z**2 - z**3 + z**2 - 4*z**2 + 69*z to the form r*z + m*z**3 + w*z**2 + l + n*z**4 and give m.
-1
Rearrange 711 - 3*z**2 - 711 + 11*z**2 - 32*z - 4*z + 7*z**3 to j + p*z**2 + i*z + v*z**3 and give p.
8
Express (-h - 2*h + 2*h)*(h + 3*h + 4*h) + h**2 - 2*h**2 + 3*h**2 + 158*h**2 + 1232*h**2 + 9*h**2 as t*h**2 + k + x*h and give k.
0
Express (-2 + 3 + 1)*(-4 + 4 + f) + 2*f - f + f - 5*f + 2*f + 4*f + 0*f + 2*f - f + 7981*f + 31900*f + 1758*f in the form s*f + b and give s.
41645
Express (2 - 3 + 6)*(-9*v**2 - 6*v**2 + 8*v**2)*(6 + 5*v - 6) + 6*v**3 - 11*v**3 - 2*v**3 as o*v + q + t*v**3 + d*v**2 and give q.
0
Express 7*n**2 - 3*n + 4*n - n + 1823 - 1253 in the form k*n**2 + m + c*n and give c.
0
Rearrange 180*c + 3486 + 179*c - 360*c to x*c + b and give x.
-1
Rearrange -543 - 76*s + 239*s - 76*s - 85*s to m + f*s and give f.
2
Rearrange (21 - 4 + 0)*(-3*b + b + 7*b + 5) to the form j + s*b and give s.
85
Rearrange 4 + 116*s**2 - 31*s**2 - 51*s + 90*s to the form r*s**2 + x*s + v and give v.
4
Express -626677 + 626677 + 1817*q in the form s*q + c and give s.
1817
Express -s**3 + 0*s**2 + 0*s**2 + (-s**2 + 3*s**2 - 6*s**2)*(56 - 56 + 23*s) - 3*s**3 - 2*s**3 - 4 + 2 in the form w*s**3 + g*s + l*s**2 + t and give w.
-98
Express (23*w**2 - 3*w**2 + 2*w**2)*(-16*w + 31*w - 10*w - 12) as u*w**2 + k + r*w + o*w**3 and give o.
110
Rearrange 215 - 23*q**2 - 21*q**2 + 13*q**2 - 239 + 2*q to the form i*q + p*q**2 + k and give p.
-31
Rearrange -6839*t + 335 - 161 - 173 to the form b + p*t and give p.
-6839
Express -119 + 94*a - 25 - 9*a**2 + 143 as r*a**2 + j + k*a and give r.
-9
Express (307 - 35 - 40)*(-3 + 1 + 7)*(0*t**2 + t**2 - 2*t**2) as x + f*t + g*t**2 and give g.
-1160
Express 121*z + 12 + 7*z**4 - 359*z + 234*z as c*z + m + y*z**4 + r*z**2 + n*z**3 and give y.
7
Rearrange 4*a**3 + 2*a**3 - 3*a**4 + 31*a - 5*a**3 + 15*a - 6*a**4 + 2 to s*a**2 + p + x*a + f*a**3
|
{
"pile_set_name": "DM Mathematics"
}
|
to the nearest ten thousand?
-70000
Let j = -1.775562 + 1.8569. Round j to 2 decimal places.
0.08
Let w = 4824.58408 + -4824. What is w rounded to three dps?
0.584
Let h = -80 + 83. Suppose h*v = 10 - 1. Let s be -1 + 1/v + (-15372)/27. Round s to the nearest one hundred.
-600
Let z = 2875466.711 + -2873967. Let t = 1498 - z. Let f = t + 0.011. What is f rounded to the nearest integer?
-2
Let m = -6.3 - -6.11. Let w = m + 0.19043. What is w rounded to four decimal places?
0.0004
Let w = 135.68 + 1.32. Let z = -169384 + 169247.274. Let h = z + w. Round h to one decimal place.
0.3
Suppose 3*w - 2106 - 1853 = g, 6610 = 5*w - 4*g. Let u be -30000*(6 + w/3). Round u to the nearest 1000000.
-13000000
Let n = 0.595 + 40.505. Let l = n - -0.9. Let d = l + -42.000232. Round d to 5 dps.
-0.00023
Let z = -743 + 543. Let j = z + 200.0000123. What is j rounded to 6 dps?
0.000012
Let o = 357865 + -357869.70337. Let v = 0.69267 + o. Let p = -3.99 - v. What is p rounded to three dps?
0.021
Suppose 2*y + 1434*l + 89231 = 1435*l, 3*l = -5*y - 223072. What is y rounded to the nearest 10000?
-40000
Let b = 780.52751 - -0.07249. Let t = -614 + b. Round t to the nearest ten.
170
Let x = 51209 - 51208.9968599. What is x rounded to 5 dps?
0.00314
Let b(r) = -2488*r**3 + 2*r**2 - 40*r + 40. Let s be b(5). Round s to the nearest ten thousand.
-310000
Let s = 314400602 + -314400609.10000021. Let r = 5.88 - -1.22. Let g = r + s. Round g to seven dps.
-0.0000002
Let w = -6593401.91450754361 + 248.80450214361. Let x = w + 6593154. Let g = x + -0.89. What is g rounded to 6 decimal places?
-0.000005
Let q = 18085 + -18085.00004888. What is q rounded to 4 dps?
0
Let z = 128.142 - 128. Let u = -49718.04199676 - -49717.9. Let g = u + z. What is g rounded to 7 decimal places?
0.0000032
Let o = -83.579977485 - -83.58. What is o rounded to seven decimal places?
0.0000225
Let v = 2540935637.9999931 - 2540935750. Let w = -0.1503 - -112.1503. Let s = w + v. What is s rounded to six decimal places?
-0.000007
Suppose 11*g + 2563 + 418 = 0. Let n be -3*g*(-4000)/(-12). Round n to the nearest one hundred thousand.
300000
Let d = -28708.79446 + 28708. Round d to one decimal place.
-0.8
Let l be 3058*((-4)/10)/((-120)/(-450)). Let r be -1 + -1 + -48683 + -2. Let q = r - l. Round q to the nearest ten thousand.
-40000
Let q = 38115 + -15902. Let m = q - 22323.37. Let z = 109 + m. What is z rounded to one dp?
-1.4
Let r = 891.9065314912 - -0.0933804088. Let u = r + -892. What is u rounded to 6 dps?
-0.000088
Let p = -2560306 + 10958306. Round p to the nearest 1000000.
8000000
Let j = -1028 - -623. Let q = -405.0002115 - j. Round q to five dps.
-0.00021
Suppose 15*q = -3*q + 185544. What is q rounded to the nearest 1000?
10000
Let g = -315 + -644. Let z = 958.9327 + g. Round z to two decimal places.
-0.07
Let c = -5508 - -5508.01247. What is c rounded to 3 dps?
0.012
Let l = 57387.50626 - 57387. What is l rounded to 2 decimal places?
0.51
Let d = -54.2259 + 54.2. Let m = d + -0.0199. What is m rounded to 3 dps?
-0.046
Let y be 134/6 - (-2)/(-6). Suppose 2*n - 2228 = 2*d, 6*n - 1150 = 5*n - 5*d. Suppose -y*w + 20*w = -n. Round w to the nearest one hundred.
600
Let z = 47.958 - -0.042. Let d = -53.26 + z. What is d rounded to the nearest integer?
-5
Let t(y) = 174998*y**2 - 2*y + 4. Suppose 35 = -2*u - 5*u. Let j be ((6/u)/(-3))/((-1)/5). Let a be t(j). What is a rounded to the nearest one hundred thousand?
700000
Let v = 269.0419 + -0.0419. Let j = -269.00143 + v. Round j to 3 decimal places.
-0.001
Let n = 18880 - 18879.99968437. Round n to four dps.
0.0003
Let m = -695.500048712 + 695.5. Round m to 5 dps.
-0.00005
Let k = -7430 + 7429.999991058. What is k rounded to six dps?
-0.000009
Let h = 1002688 - 1002348.9704. Let w = 339 - h. Round w to three decimal places.
-0.03
Let v = 504097 - 504069.3397. Let i = v - -0.3407. Let j = -28 + i. What is j rounded to 2 decimal places?
0
Let w = 706.54029703 + -706.54. What is w rounded to four dps?
0.0003
Let n = -2638 + 2647.6. Let m = 10.1 - 0.1. Let l = n - m. What is l rounded to zero dps?
0
Let v = -203.4 - -198.526. Let u = v + 4.869434. What is u rounded to 3 dps?
-0.005
Let o = 777.7071044 + -384.8792258. Let d = 394.4179 - o. Let f = -1.59 + d. Round f to 6 decimal places.
0.000021
Let i = 20.049 - 20. Let z = i + 15.951. Let s = 15.9999978 - z. Round s to 6 dps.
-0.000002
Let h = -0.033738474 + -129.267323526. Let g = 129.3 + h. Round g to four decimal places.
-0.0011
Let u = 31286415 + -66157574. Let i = u - -34871295.999684. Let o = -137 + i. Round o to 5 dps.
-0.00032
Let f = -26.418 + -35.625. Let l = 166 + -228. Let u = f - l. Round u to 2 dps.
-0.04
Let r = -40029 + 40029.0000020977. Round r to seven dps.
0.0000021
Let p = -104.080025705 - -104.08. What is p rounded to seven dps?
-0.0000257
Let r = -32299 - -34400.9. Let z = 1627 - r. What is z rounded to the nearest ten?
-470
Let u(f) be the third derivative of f**6/120 - f**4/24 + 8650000*f**3/3 - f**2 + 5*f. Let g be u(0). What is g rounded to the nearest 1000000?
17000000
Let u = 6569826 + -6570059.000992. Let a = u + 233. What is a rounded to five decimal places?
-0.00099
Let j be -1 - (-58 + -1 + 0). Let p = j + -55. Suppose -472000 = 5*l - l + 4*d, -472000 = 4*l + p*d. What is l rounded to the nearest ten thousand?
-120000
Suppose 0 = 4*h - 28, -4*b + 3*h + 13495726 = 1248547. What is b rounded to the nearest 1000000?
3000000
Let y = -28.94 + 29. Let n = y - -0.2. Let j = n - 0.26000052. What is j rounded to 7 dps?
-0.0000005
Let i(c) = 3880258*c - 194. Let r be i(-7). Round r to the nearest one million.
-27000000
Let z = 1.91 - 2.88. Let c = z + 0.96864. Round c to 3 dps.
-0.001
Let d = -29061 - -29060.9999837325. What is d rounded to six decimal places?
-0.000016
Let w = 0.75051929 - 73957.75351929. Let c = w - -73958.27300138. Let i = -1.27 + c. What is i rounded to seven dps?
0.0000014
Let f = 124247.66 - 125564. Let n = f + 1329. Round n to the nearest integer.
13
Let i = 1570 - 1570.000010851. Round i to seven decimal places.
-0.0000109
Let b = 1690.0006732 - 1690. Round b to 4 dps.
0.0007
Let w = -5810.5759 + 5811. Let j = w - -0.7064. Let b = 1.1 - j. Round b to 2 decimal places.
-0.03
Let l be (-4*1 + 5 + (-25148)/(-12))*15. Round l to the nearest ten thousand.
30000
Let s = -108 + 62. Let b = s + 46.48. Let g = b + -0.4799983. What is g rounded to 6 decimal places?
0.000002
Let r(b) be the third derivative of -b**4/24 - 20*b**3/3 - 6*b**2. Let g be r(27). Let x be 6 + -4 - 2 - g/1. What is x rounded to the nearest ten?
70
Let h = -0.4877 + 0.487717118. What is h rounded to 7 decimal places?
0.0000171
Let f = -0.6546392 + 0.57463562. Let l = 22.92 + -23. Let p = f - l. Round p to 7 dps.
-0.0000036
Let d = -137.5311 + 137.6. Let l = d - 0.0687391. What is l rounded to 5 dps?
0.00016
Let s(r) = -1819*r**2 + r - 2. Suppose 3*v - 100 = -3*i + 7*i, -3*v = -2*i - 92. Let m = 29 - v. Let u be s(m). What is u rounded to the nearest one hundred?
-1800
Let a = -50.1812 + 43.71. What is a rounded to 1 dp?
-6.5
Suppose -23*o + 150 = -8*o. Suppose 0 = -5*m + 25 + o. Let v(u) = 932649*u**2 + 29*u - 4. Let y be v(m). Round y to the nearest one million.
46000000
Let d = -3095 + 3094.8567. Let r = d + 47.1633. Round r to the nearest 10.
50
Let m(w) = -11 + 27*w**2 + w**3 + 24*w - 30*w**2 - 9 + 1. Let x be m(7). Suppose 4*y + 5*c - 425 = 0, 4*c = 3*y - c - x. Round y to the nearest ten.
110
Let z(p) = -272*p + 4071. Let q be z(37). Round q to the nearest one hundred.
-6000
Let z = -51000.61826 - -51000. What is z rounded to three decimal places?
-0.618
Let x = -2535.569 - -2549.8. Round x to one decimal place.
14.2
Let x = -5.954990398 - -5.955. Round x to six dps.
0.00001
Let f = 1975.67 - 2226.6. What is f rounded to zero dps?
-251
Let z = -1876.5987 - 0.4013. Let g = z + 1876.998853. Round g to four decimal places.
-0.0011
Let q be ((-45)/27)/((-10)/204) + -3. Let c be -1 - 1147 - (-48)/(15 - q). What is c rounded to the nearest one hundred?
-1200
Let n be -1*3*2857044/(-9). Let l(k) = k**2 + 20*k - 122. Let o be l(5). Suppose -o*i - 3667652 - n = 0. What is i rounded to the nearest 100000?
-1500000
Let y = 3635 + 432. Suppose g + 113 = -y. What is g rounded to the nearest one t
|
{
"pile_set_name": "DM Mathematics"
}
|
7
What is the h'th term of 25360, 101734, 229016, 407200, 636280, 916250, 1247104, 1628836?
-h**3 + 25460*h**2 + h - 100
What is the f'th term of -619227, -1238808, -1858389?
-619581*f + 354
What is the n'th term of 50425329, 50425348, 50425379, 50425422, 50425477?
6*n**2 + n + 50425322
What is the r'th term of -6479, -26331, -59547, -106121, -166047, -239319?
r**3 - 6688*r**2 + 205*r + 3
What is the m'th term of -537, -1421, -2475, -3699, -5093, -6657, -8391?
-85*m**2 - 629*m + 177
What is the w'th term of -21022, -24947, -28874, -32803, -36734, -40667, -44602?
-w**2 - 3922*w - 17099
What is the z'th term of -840240, -1680457, -2520648, -3360813?
13*z**2 - 840256*z + 3
What is the b'th term of 10478, 40749, 90826, 160715, 250422, 359953, 489314?
b**3 + 9897*b**2 + 573*b + 7
What is the r'th term of 18202, 145678, 491692, 1165510, 2276398, 3933622?
18211*r**3 + 3*r**2 - 10*r - 2
What is the v'th term of -547, -320, -63, 236, 589, 1008, 1505, 2092?
2*v**3 + 3*v**2 + 204*v - 756
What is the x'th term of -42395, -42396, -42397, -42398?
-x - 42394
What is the z'th term of 52886, 106063, 159226, 212375, 265510, 318631?
-7*z**2 + 53198*z - 305
What is the c'th term of -92524, -92703, -92880, -93055, -93228, -93399?
c**2 - 182*c - 92343
What is the z'th term of 1362, 2323, 3440, 4707, 6118, 7667, 9348?
-z**3 + 84*z**2 + 716*z + 563
What is the q'th term of 2749, 5382, 7793, 9880, 11541, 12674, 13177, 12948?
-17*q**3 - 9*q**2 + 2779*q - 4
What is the t'th term of 55512674, 111025345, 166538016, 222050687?
55512671*t + 3
What is the n'th term of -4487, -17834, -40073, -71204?
-4446*n**2 - 9*n - 32
What is the a'th term of -20109, -21743, -23377?
-1634*a - 18475
What is the o'th term of 15699033, 15699032, 15699031, 15699030, 15699029, 15699028?
-o + 15699034
What is the g'th term of -68, -548, -1792, -4154, -7988, -13648, -21488, -31862?
-59*g**3 - 28*g**2 + 17*g + 2
What is the b'th term of -45292, -90605, -135916, -181225, -226532, -271837?
b**2 - 45316*b + 23
What is the l'th term of -68502, -68741, -69040, -69399, -69818?
-30*l**2 - 149*l - 68323
What is the x'th term of 2120, 5314, 9626, 15050, 21580, 29210, 37934?
-x**3 + 565*x**2 + 1506*x + 50
What is the b'th term of -193624, -391894, -590164, -788434, -986704, -1184974?
-198270*b + 4646
What is the g'th term of 1184294, 2368412, 3552532, 4736654, 5920778?
g**2 + 1184115*g + 178
What is the m'th term of -1064290, -2128584, -3192878, -4257172, -5321466?
-1064294*m + 4
What is the k'th term of -3215, -12705, -28505, -50597, -78963?
3*k**3 - 3173*k**2 + 8*k - 53
What is the n'th term of -2127171, -2127166, -2127161?
5*n - 2127176
What is the s'th term of -4109, -8225, -12367, -16541, -20753, -25009, -29315?
-s**3 - 7*s**2 - 4088*s - 13
What is the u'th term of -32109319, -32109355, -32109377, -32109379, -32109355, -32109299, -32109205?
u**3 + u**2 - 46*u - 32109275
What is the d'th term of -4747, -4679, -4543, -4321, -3995, -3547, -2959?
3*d**3 + 16*d**2 - d - 4765
What is the a'th term of 13211, 52782, 118729, 211064, 329799, 474946, 646517?
2*a**3 + 13176*a**2 + 29*a + 4
What is the b'th term of -569, -199, -95, -257?
-133*b**2 + 769*b - 1205
What is the j'th term of -167, -557, -1163, -1937, -2831, -3797, -4787, -5753?
8*j**3 - 156*j**2 + 22*j - 41
What is the c'th term of -125874, -251769, -377660, -503547?
2*c**2 - 125901*c + 25
What is the o'th term of 3210180, 3210190, 3210200, 3210210, 3210220, 3210230?
10*o + 3210170
What is the u'th term of 821, 1611, 2267, 2723, 2913, 2771?
-11*u**3 - u**2 + 870*u - 37
What is the l'th term of -12716, -16657, -20598, -24539?
-3941*l - 8775
What is the p'th term of 537, -5773, -16289, -31011, -49939?
-2103*p**2 - p + 2641
What is the v'th term of 70969, 141775, 212581, 283387, 354193, 424999?
70806*v + 163
What is the f'th term of 1130347, 1130357, 1130383, 1130431, 1130507, 1130617, 1130767?
f**3 + 2*f**2 - 3*f + 1130347
What is the i'th term of 653944, 653811, 653678, 653545, 653412?
-133*i + 654077
What is the c'th term of 96807936, 193615869, 290423802, 387231735, 484039668?
96807933*c + 3
What is the k'th term of -1434599, -2869333, -4304067, -5738801, -7173535?
-1434734*k + 135
What is the t'th term of -23395, -33180, -42961, -52738?
2*t**2 - 9791*t - 13606
What is the y'th term of 117217, 118586, 119955?
1369*y + 115848
What is the z'th term of -26764, -27348, -28320, -29680, -31428, -33564?
-194*z**2 - 2*z - 26568
What is the w'th term of -12686, -12558, -12430?
128*w - 12814
What is the p'th term of 1911, -2545, -9973, -20373, -33745, -50089, -69405?
-1486*p**2 + 2*p + 3395
What is the b'th term of -10628, -44521, -78414?
-33893*b + 23265
What is the i'th term of 1836, 7285, 16368, 29085?
1817*i**2 - 2*i + 21
What is the o'th term of -2598879, -2598849, -2598813, -2598771, -2598723?
3*o**2 + 21*o - 2598903
What is the h'th term of 2220, 2347, 2476, 2607?
h**2 + 124*h + 2095
What is the m'th term of -1475, -1462, -1443, -1418, -1387?
3*m**2 + 4*m - 1482
What is the l'th term of -810, -998, -1126, -1140, -986, -610?
9*l**3 - 24*l**2 - 179*l - 616
What is the w'th term of -231196, -462383, -693564, -924739, -1155908, -1387071, -1618228?
3*w**2 - 231196*w - 3
What is the o'th term of 179, 1624, 4239, 7928, 12595, 18144?
-16*o**3 + 681*o**2 - 486*o
What is the o'th term of -3075, -3688, -4261, -4782, -5239, -5620, -5913?
2*o**3 + 8*o**2 - 651*o - 2434
What is the k'th term of 10817, 11278, 11739, 12200, 12661, 13122?
461*k + 10356
What is the i'th term of -898581, -1797139, -2695697, -3594255, -4492813, -5391371?
-898558*i - 23
What is the j'th term of 24616, 98200, 220830, 392500, 613204?
-j**3 + 24529*j**2 + 4*j + 84
What is the m'th term of 22313, 22308, 22293, 22262, 22209, 22128?
-m**3 + m**2 - m + 22314
What is the m'th term of -40996969, -81993939, -122990909, -163987879?
-40996970*m + 1
What is the l'th term of -2931, -2974, -3067, -3228, -3475, -3826, -4299, -4912?
-3*l**3 - 7*l**2 - l - 2920
What is the o'th term of -5294, -3894, -2490, -1082, 330, 1746, 3166?
2*o**2 + 1394*o - 6690
What is the y'th term of -32199, -65630, -99061?
-33431*y + 1232
What is the b'th term of 66630, 266635, 599972, 1066635, 1666618, 2399915?
-b**3 + 66672*b**2 - 4*b - 37
What is the t'th term of -969, -1560, -2343, -3324, -4509, -5904?
-t**3 - 90*t**2 - 314*t - 564
What is the n'th term of 118155, 118133, 118115, 118101, 118091, 118085?
2*n**2 - 28*n + 118181
What is the b'th term of 98952, 197895, 296862, 395877, 494964?
4*b**3 - 12*b**2 + 98951*b + 9
What is the w'th term of 202485130, 202485132, 202485134?
2*w + 202485128
What is the a'th term of 167, -600, -1867, -3634, -5901?
-250*a**2 - 17*a + 434
What is the q'th term of 36375, 142921, 319633, 566511?
35083*q**2 + 1297*q - 5
What is the z'th term of -437490, -874982, -1312474, -1749966, -2187458, -2624950?
-437492*z + 2
What is the u'th term of -8729, -34945, -78649, -139841, -218521, -314689?
-8744*u**2 + 16*u - 1
What is the y'th term of 24836697, 99346747, 223530157, 397386921, 620917033, 894120487, 1216997277?
-y**3 + 24836686*y**2 - y + 13
What is the p'th term of 4094, 16311, 36666, 65159?
4069*p**2 + 10*p + 15
What is the d'th term of -10993002, -10992992, -10992982, -10992972?
10*d - 10993012
What is the k'th term of -69638, -69528, -69368, -69158, -68898, -68588?
25*k**2 + 35*k - 69698
What is the s'th term of 1180, 1445, 2144, 3493, 5708, 9005, 13600?
36*s**3 + s**2 + 10*s + 1133
What is the k'th term of -127, -719, -1551, -2623?
-120*k**2 - 232*k + 225
What is the r'th term of -82242, -78719, -75196?
3523*r - 85765
What is the d'th term of -3533, -7060, -10551, -14006, -17425?
18*d**2 - 3581*d + 30
What is the s'th term of -123085811, -123085810, -123085809, -123085808, -123085807, -123085806?
s - 123085812
What is the x'th term of 234754257, 469508515, 704262773?
234754258*x - 1
What is the p'th term of 58069, 116301, 174533, 232765, 290997, 349229?
58232*p - 163
What is the v'th term of 25500, 204082, 688800, 1632720, 3188908?
25511*v**3 + 2*v**2 - v - 12
What is the t'th term of 533, 5599, 19835, 47981, 94777, 164963, 263279?
790*t**3 - 155*t**2 + t - 103
What is the r'th term of -5102, -10004, -14906, -19808, -24710, -29612?
-4902*r - 200
What is the t'th term of -197, -287, -539, -10
|
{
"pile_set_name": "DM Mathematics"
}
|
27.04. Let s = -1.04 + y. Is s at least as big as 0.019?
False
Let s = 10 + -7. Suppose -s*y + w = 23 + 14, -y - 4 = -2*w. Is y at least as big as -12?
False
Let i = 21/11 + -169/77. Which is smaller: 46 or i?
i
Suppose 0 = -0*j - 2*j + 20. Let z = j + -84. Let f = z - -369/5. Which is smaller: f or 0?
f
Let f = -0.183 - -0.183. Let q = 164 - 1803/11. Which is smaller: f or q?
f
Let x = -7 + 2. Let r = -4 - x. Let h = -331/6 + 55. Does h = r?
False
Suppose 19 = -4*s - 37. Let r = -14 - s. Suppose -c + 1 - 3 = r. Is c at least -9/4?
True
Suppose 2*u + 3*u + 205 = 0. Let z = 41 + u. Which is smaller: z or 2/7?
z
Suppose 2*y + 81 = 11*y. Let s = -9 + y. Is -1/14 < s?
True
Let f = 0.17 + -0.05. Let z = 0.03 + f. Let a = z - 0.45. Which is bigger: a or -1/2?
a
Suppose 0*f + 7*f - 35 = 0. Let i be f/(-53)*2/(-5). Is 0 greater than i?
False
Let u = -221369/11 + 20109. Which is greater: -15 or u?
-15
Let s = 83.19 - -0.81. Let i = s - 115. Is 2 at least as big as i?
True
Let o = -21.7 - -103.7. Which is smaller: o or -4/3?
-4/3
Let c be (-531)/(-162) - (-2)/(-2). Let w = c - 16/9. Which is smaller: 1 or w?
w
Let d = 494 + -496.8. Is d at most -8?
False
Let o be (-164)/(-476) - 4/14. Suppose -10*v + 10 = -5*u - 5*v, -3*u - 5*v + 2 = 0. Are o and u unequal?
True
Let k = 0.08 - 0.05. Let s = 10.4 - -1.63. Let g = k - s. Which is bigger: -1 or g?
-1
Let r(j) = 4*j + 20. Let s be r(-6). Let c be (-9)/(-18)*3*s. Suppose 11 = -2*d + 1. Which is bigger: c or d?
d
Suppose -14*s + 41*s = 594. Which is greater: s or 24?
24
Let o(a) be the first derivative of -a**4/4 + 13*a**3/3 - a**2/2 + 14*a + 5. Let x be o(13). Which is smaller: x or 4?
x
Let c = -2/227 - -488/3859. Let f = -17 + 17. Is f >= c?
False
Let c = 107 + -99. Suppose -c*v + 3 = -53. Are 7 and v non-equal?
False
Let c(g) = 4*g**2 - g - 18. Let q be c(-4). Is 50 equal to q?
True
Let o(c) = 24*c + 106. Let p be o(-5). Are -13 and p unequal?
True
Suppose -10 = -26*u + 224. Do u and -3 have different values?
True
Let y = 0.36 - 0.4. Which is smaller: y or 10?
y
Suppose 0*j + j = -1. Let w = -660/749 + -28/107. Is j >= w?
True
Let i = 109.928 + -110. Let f = 0.928 - i. Which is smaller: 1.1 or f?
f
Let f = -3491150/511 + 6832. Suppose 71*a - 25 = 46*a. Which is smaller: a or f?
f
Suppose 5*r = -3*y + 9, -4*r + 6*r + 2*y = 6. Which is greater: -9 or r?
r
Let h = 121 + -48. Let z = h + -38. Is -0.1 smaller than z?
True
Let b = 1483 - 1483. Is -2/1305 > b?
False
Suppose -161 = 4*s - 505. Which is bigger: s or -4/9?
s
Let h(z) = z**3 - 5*z**2 + 6*z - 4. Let f be h(4). Let v be (1/(-5))/(f - 42/10). Which is smaller: v or 3?
v
Suppose -4*j + 2*s - 5*s = 1097, 4*j - 4*s + 1104 = 0. Let z = j + 386. Is 110 at least as big as z?
False
Let b = 1424 - 1433. Let m = 1.9 - 2. Which is smaller: m or b?
b
Let r = 9 - 7. Suppose r*p = p - 6. Let t = -12 - -6. Is p at least as big as t?
True
Let l = -1729 + 1239. Which is smaller: 0 or l?
l
Suppose 3*c = 5*p + 10, -6 = 2*c + 7*p - 4*p. Is c at least as big as 21?
False
Suppose 0 = -5*d + 257 + 323. Are d and 116 equal?
True
Let c be 4 - (-2 - 4)/(-2). Let k = 13 + -12. Let m be (c - 1)*k + 24. Which is smaller: m or 23?
23
Suppose 4*y - 8 = 5*y. Let c be (-2)/18*36/y. Let h(b) = -b + 1. Let j be h(1). Which is smaller: j or c?
j
Let x be (-2)/((-4)/(-3))*2. Let z = -2.736 + 1.736. Is z greater than or equal to x?
True
Let c = 2344/77 + -208/7. Which is smaller: c or 0?
0
Let m = -583/3 - -619/12. Which is smaller: -143 or m?
-143
Suppose 5*f - 105 = 2*f. Suppose 4*q + q - f = 0. Are 0.2 and q non-equal?
True
Let q(m) = -m**3 - 7*m**2 + 6*m - 9. Let s be q(-8). Suppose 3*d = 12*o - 13*o + s, -d = 3*o - 5. Is -3/28 <= o?
True
Let f = -14.003 + 14. Let g = f + 44.003. Let t = -31 + g. Is 2/3 <= t?
True
Let i be 18/24 + 34/8. Suppose -5*z + k + 3*k + 2 = 0, -k = i*z - 12. Suppose -z*y + 5*y = 12, 4*v + 24 = 4*y. Which is bigger: -4 or v?
v
Suppose -s - s - 5*z = -33, 5*s - 73 = -3*z. Suppose 0 = 16*m - s*m + 24. Is m at most as big as -13?
False
Let l = 420 - 420. Is l bigger than -1/781?
True
Let g be 4165/(-697) + 5 + 1. Are g and -0.2 equal?
False
Suppose 3*c - 3 = -2*h, -1 = c - 6*c - 2*h. Let g = c + -1. Let r = 1559 + -6247/4. Is r at least g?
False
Let o be 10 - 1 - (-2 + -1). Let x = 78 + -38. Suppose 0 = 3*k - s - x, 3*s = -k - k + 12. Is o bigger than k?
False
Let u = 108.51 + -140. Let h = u - -32. Which is bigger: h or -2/9?
h
Suppose 0 = -3*v + 8*v - 25. Suppose 0 = -v*s + 32 - 27. Which is bigger: 2/87 or s?
s
Suppose -58*h = -29*h + 783. Are h and 0.6 nonequal?
True
Let d be (-8)/(-172)*(-2)/4. Let b be (-6)/(-7) - (-318)/(-371). Which is smaller: b or d?
d
Let g = 0.774 - 0.8. Let m = g + 0.226. Is m less than or equal to -0.16?
False
Suppose -5*w = -3*l + 49, 0*w - 5*l = -w - 23. Let n(y) = -y - 2. Let g be n(w). Is 6 at least as big as g?
True
Suppose r + 3*t + 2*t - 11 = 0, -4*r - 28 = 2*t. Let o(u) = -3*u - 20. Let x(i) = -i - 7. Let n(y) = 4*o(y) - 11*x(y). Let g be n(r). Which is greater: 5 or g?
g
Let t = -13341442 + 4856290695/364. Let b = t + -206/13. Which is bigger: 1 or b?
1
Suppose -5*f = -23 - 7. Let k be ((-48)/(-20))/(f/75). Suppose n - k = -2*n. Do n and 11 have the same value?
False
Let f = 273.9 - 273.4. Let n = 6.2 - -0.8. Is f less than n?
True
Let o(l) = l**3 - 3*l**2 - 4*l + 1. Let b be o(4). Let q be 3*b + (-361)/(-19). Let m = q + -22. Which is smaller: -2/3 or m?
-2/3
Suppose 0 = -3*h + 7*h + 88. Let b(m) = m**3 - m**2 + 2*m - 21. Let j be b(0). Which is greater: j or h?
j
Let m be 4/14*((-1232)/20)/(-11). Suppose 0 = -4*u + 5 + 7. Suppose x + 3 = u*b + b, 2*x - 1 = b. Is m > b?
True
Suppose 2*v - 70 = 4*z, -3*z + 0*v - 50 = -v. Let t(b) = -126*b - 388. Let h be t(-3). Is z smaller than h?
True
Let o(w) = -w**3 - 8*w**2 - 6*w + 5. Let k be o(-7). Let m be (0 - k) + (-9 - -33). Let r be (-4)/((-48)/m) - 3. Is r greater than or equal to -1?
True
Let i = -149 + 220. Suppose 2*m = 6*m + 5*r - 53, 4*m - r = i. Let k = m - 17. Which is greater: k or -8/9?
k
Let d(r) = -15*r + 15 + 177*r**2 - 93*r**2 - 85*r**2. Let j be d(-17). Is -20 at least as big as j?
False
Suppose 554 + 118 = -8*j. Let o be (1 - 0)*j/567. Is o at most as big as -1?
False
Suppose -3*l + 5 = 14. Let s be 112/20 + l - 2. Let q be 2/7 + (-8)/224. Are s and q nonequal?
True
Let w be (-20)/(-70) - 51/7. Suppose 6 = m + m. Suppose 0 = -m*u - 4*d - 16, 4*u = -u - 5*d - 30. Is w bigger than u?
True
Let m(a) = -a**2 + 4*a + 6. Let o be m(5). Let v = 140821/126 + -7886/7. Let k = v + 17/2. Which is greater: o or k?
o
Let y be (276/(-15))/((-1)/(-15)). Is y at least -275?
False
Let k(q) = -q + 11. Let y be k(10). Suppose -t - y = -7. Suppose -t - 2 = 4*p, 3*n = -3*p - 15. Which is smaller: n or -4?
-4
Let k(b) = b**2 - 6*b + 1. Let h(w) = 2*w**2 - w + 1. Let z(i) = h(i) - k(i). Let l be 1/(-2) + 18/(-4). Let n be z(l). Is n bigger than 0.4?
False
Let g = -159.83 + 160.1. Is -8 smaller than g?
True
Let m = 11 + -9. Suppose m*y = y. Are 6/17 and y equal?
False
Let j = 0.634 - -0.366. Do j and 1.041 have the same value?
False
Suppose 4*u + 2*z = -200, -z = 3*z - 8. Let j = 49 + u. Which is smaller: -6/5 or j?
j
Suppose 4*x + 6 = -5*d - 6, 5*x - 22 = 3*d. Suppose 0 = -x*p - 3*p + 5. Is p < 2/9?
False
Suppose -5 = -5*f, -2*f = 2*p - 6*f - 6. Suppose 0 = 9*r + 834 - 69. Let i = r + 89. Which is greater: i or p?
p
Suppose -62 = 7*r + 8. Which is smaller: 11 or r?
r
Let b = 37/5 - 551/15. Is b at least as big as -30?
True
Let o(i) = -17 + 87*i - 168*i + 86*i. Let j be o(-6). Is -46 > j?
True
Let k = 12/19 + 2/57. Which is bigger: -76 or k?
k
Suppose 0*v - 2*v - 32 = 0. Let d = v + 24. Let n(l) = 180*l - 2512. Let t be n(14). Is t bigger than d?
False
Let t be 2/21*(2 - (-20)/(-4)). Let c(k) = -k**2 - 7*k - 5. Suppose h + 18 = -2*h. Let f be c(h). Which is bigger: f or t?
f
Let k = -451 - -74. Does k = -378?
False
Let s = -467 - -321. Which is smaller: -147 or s?
-147
Let h(z) be the first derivative of -z**5/60 + 5*z**3/6 - 9*z**2/2 - 2. Let q(a) be the second derivative of h(a). Let o be q(0). Is o greater than 5?
False
Let v = 94 - 168. Is v <= 1?
True
Suppose 0*u = u - 2*q - 3, -3*u - 6 = -q. Suppose -5*x + 2*p = 18, -2*p - p - 23 = 5*x. Let r be (-40)/18 + x/(-18). Which is gre
|
{
"pile_set_name": "DM Mathematics"
}
|
163943.36 and 0.
-163943.36
Subtract -1758340 from -2602.
1755738
Add together 4 and -724.6351.
-720.6351
What is the distance between 69435.93216 and -4?
69439.93216
Calculate 2694973.533 - 0.2.
2694973.333
Add together -80 and -14517935.
-14518015
What is -3701.1 less than -21.5?
3679.6
Subtract -1252242.341 from -0.6.
1252241.741
What is the distance between -1 and -294.079644?
293.079644
Subtract 1637.2555 from -0.2.
-1637.4555
Work out 0.31 + 100909019.
100909019.31
Calculate 2448.19852 + 2.
2450.19852
Work out 792675764 - 1.
792675763
Total of 838 and -2.0084.
835.9916
Work out -932307295 + -42.
-932307337
Calculate -0.073019 + 4583.
4582.926981
What is 6459949 - 108?
6459841
What is -0.1 plus -233253784?
-233253784.1
Add -0.4 and -1090463435.
-1090463435.4
Subtract -116425 from -0.86.
116424.14
-37417208+-20
-37417228
What is -5845 - 0.023?
-5845.023
What is -235318314 minus -4?
-235318310
What is the distance between 0.010584 and 731210?
731209.989416
Add together -281 and -36.3892.
-317.3892
Subtract 0.5 from 66848684.
66848683.5
Work out -16 - -62.0201962.
46.0201962
What is the difference between -1426921623 and -13?
1426921610
What is -642645843 - -0.04?
-642645842.96
What is -0.02 plus -132121.1797?
-132121.1997
Add together 0.186 and 321.28.
321.466
What is -0.04674 minus -0.0208?
-0.02594
Work out -11948133 + 0.4.
-11948132.6
Add together 53 and 4671499.
4671552
Work out 0.0158793484 - 0.1.
-0.0841206516
Work out 852955 - 34.
852921
What is -7923696968 take away -0.8?
-7923696967.2
What is the difference between -5 and -594404166?
594404161
What is -60564 - 0.81?
-60564.81
What is -2 - 31.21190152?
-33.21190152
What is 22652875897 + 5?
22652875902
What is -5885.748 - -2.9?
-5882.848
-7668665548 - 6
-7668665554
Work out 89 + -6252990.
-6252901
What is 7 less than -0.02912081?
-7.02912081
Calculate 26 + 245.7798.
271.7798
What is -36849434368 take away -2?
-36849434366
-0.0189338+-4516
-4516.0189338
Work out -29068.26 - -213.
-28855.26
Add 2794.82 and -0.0342.
2794.7858
17.91154958 + 0.3
18.21154958
Work out 0.136 - 5903351.
-5903350.864
What is 391983 take away 0.03882?
391982.96118
-1.0713569 - 6
-7.0713569
What is the distance between 235.4780715 and -3?
238.4780715
What is the distance between 504 and -0.1621?
504.1621
What is the difference between 0.49 and 504428.763?
504428.273
What is 0.2082014 + 40?
40.2082014
Calculate -563.67 + -0.001.
-563.671
What is the distance between -129 and -95.3602?
33.6398
What is -1577872 + -3?
-1577875
What is 2370459 less than 1693?
-2368766
What is 0.1 plus -0.98352431?
-0.88352431
3024681+0.036
3024681.036
What is -34 + 0.5789981?
-33.4210019
What is -0.02 take away -0.041687965?
0.021687965
What is the difference between -124 and -90622?
90498
What is 9392.1 take away 342?
9050.1
What is the difference between 0.4967137 and 0.035?
0.4617137
Work out -21.309 + 7230.
7208.691
What is 2.31 - 40571.1?
-40568.79
What is -51190 plus -0.19672?
-51190.19672
What is 5435 minus -17.08?
5452.08
Add together -930.28 and 0.18.
-930.1
Calculate -4167010 + 326.
-4166684
Work out -686860 - -0.07.
-686859.93
Subtract 26.21649723 from -6.
-32.21649723
Calculate -4541431 + 30.48.
-4541400.52
Sum -2303889 and -0.02.
-2303889.02
What is -822 plus -1.9399?
-823.9399
-5+-66945.4
-66950.4
-0.03 - 21280857
-21280857.03
What is the distance between 0.4 and 426.297675?
425.897675
Add together 5108047 and 55.
5108102
Total of -0.10465113 and 0.07.
-0.03465113
Calculate 617449 - -242.
617691
Sum 13 and 230468.5.
230481.5
What is the difference between -992 and 198761?
199753
Calculate 4 - -1252069382.
1252069386
Add 6462065 and -0.3.
6462064.7
Subtract -2825278.9 from -4.
2825274.9
4280491 + 1.4
4280492.4
What is -32 less than -94079?
-94047
What is -6704 plus -0.08882?
-6704.08882
What is -10.39 plus -22.3723?
-32.7623
What is -0.96323 plus -0.41?
-1.37323
What is -29834 - -482?
-29352
-184 + 46929225
46929041
What is the distance between 13676.227 and 13?
13663.227
Put together 4524 and 4364.
8888
0.21 + 10216.8
10217.01
What is the distance between 1.2 and 9451534?
9451532.8
What is the distance between 0.1 and 29992557?
29992556.9
What is the difference between -0.4 and 360.007167?
360.407167
What is -4512 minus 1041.24?
-5553.24
-23805436 + 1
-23805435
What is -19.5 - 5347.16?
-5366.66
What is -0.03 take away 0.0555159093?
-0.0855159093
Put together 77258.3 and -1.33.
77256.97
What is -1608.3 plus -1669627?
-1671235.3
What is -1.9985 minus 12200.5?
-12202.4985
What is 0 less than 62677888828?
62677888828
Work out 1.6032577 - 0.42.
1.1832577
Add together 14 and -13.4974776.
0.5025224
Work out -741.2 + 836.
94.8
-0.4+-2583.9118
-2584.3118
What is -8.14577 less than -9?
-0.85423
Calculate -0.0696 + -7.24.
-7.3096
Add -17396468671 and 4.
-17396468667
What is 0 - -2.1430502?
2.1430502
1403.2+-5.23
1397.97
What is -147227707 take away -2?
-147227705
Put together 1.6 and 145947.1.
145948.7
Add together -2 and 18452418.
18452416
What is the difference between -4343142 and 0.5?
4343142.5
Calculate 2163634.07 - 0.19.
2163633.88
8893+-96.5451
8796.4549
What is -7194048.18 minus 0.2?
-7194048.38
What is the distance between -0.156686 and 22.288?
22.444686
732 - -16.43
748.43
Total of -21999533.52 and 0.2.
-21999533.32
What is -13.1526 + -0.15?
-13.3026
What is the distance between -0.044 and 0.02140273?
0.06540273
Calculate -1069193658 + 3.
-1069193655
Put together -11580025 and 0.04.
-11580024.96
Add -751 and -0.35241183.
-751.35241183
What is -4 - -1408898?
1408894
-2+-29374225
-29374227
What is the difference between 0.6 and 1267060891?
1267060890.4
What is 1.5 plus 4848861?
4848862.5
Sum 0.29480895 and -0.2.
0.09480895
What is 24 minus 9765.33?
-9741.33
What is 0.774 take away -527078?
527078.774
What is -34754259 minus -0.5?
-34754258.5
Calculate 8.6499003 - 578.
-569.3500997
What is 2.454661 take away 86?
-83.545339
What is the difference between 724.8 and -79.4?
804.2
What is 0.6 + -5216083?
-5216082.4
Put together -823090608 and -1.2.
-823090609.2
What is -1970685312 - 6?
-1970685318
Sum -0.0586171 and 793.
792.9413829
What is 14071874 less than 0.5?
-14071873.5
What is -11.742034 + -118?
-129.742034
Add together 69110.49 and 10.
69120.49
What is -126538038.14 - -3?
-126538035.14
-0.5+-13273504309
-13273504309.5
What is the distance between -20221204 and -0.173?
20221203.827
Work out -55184.95701 - -4.
-55180.95701
Work out 1.15557 + 43745.
43746.15557
Sum -210703.9 and -119.
-210822.9
1689.42 - 9484
-7794.58
What is 2.5 + 0.2799518472?
2.7799518472
Sum -0.02 and -2422121.5.
-2422121.52
What is the distance between -2.0627 and 2901?
2903.0627
What is 4 plus -5125.9216?
-5121.9216
8+-1031029406
-1031029398
Add together 11.5840109 and -274.
-262.4159891
Add together -2.1930278 and -2.2.
-4.3930278
144 - 52718
-52574
-75424.6 - -4.929
-75419.671
Calculate -0.1 + 636.66.
636.56
-96557.004 - 0.1
-96557.104
What is 153 + -183850?
-183697
What is 548 take away -4.657?
552.657
Add together 306112.2 and 29021.
335133.2
Calculate 200504 + -0.9.
200503.1
What is -30457 + 219?
-30238
What is 12.827 - 9955.73?
-9942.903
What is -0.38324119 less than 164?
164.38324119
What is 263332.6 - 4.1?
263328.5
Sum -711958 and 0.192.
-711957.808
3 - 3794968
-3794965
What is 1664 - 230?
1434
What is -363112 + -746?
-363858
What is 5 - 51.6583?
-46.6583
What is -57270238 - -0.2?
-57270237.8
Total of -0.08413870224 and -4.
-4.08413870224
Work out -2168.285 - -0.1.
-2168.185
What is the difference between -13023 and 23479?
36502
What is 114296.9 take away 0.00392?
114296.89608
-253.06 - 71352
-71605.06
Calculate 563 - -12796.8.
13359.8
Work out 0.158902 + -70.
-69.841098
Put together -402 and -0.046996.
-402.046996
32621.551 - 203
32418.551
What is 0.270545 - -6.4?
6.670545
141+-14986
-14845
0.2 + -210149.445
-210149.245
What is the difference between -28.1568 and -631?
602.8432
Put together 4.9823 and -195.57.
-190.5877
What is 47.6 take away -235851?
235898.6
Add together 200.46 and 1.04008.
201.50008
Subtract 5 from -548117050.46.
-548117055.46
What is 4 minus 3518339348?
-3518339344
2 + 52482.3738
52484.3738
0.65004 + -707
-706.34996
What is 22902 take away -15595?
38497
What is 72121.8 take away -0.2?
72122
What is the difference bet
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{
"pile_set_name": "DM Mathematics"
}
|
= -0*v - q + 86, -4*v - u*q + 128 = 0. What are the prime factors of v?
3
Let b = 826 + -128. What are the prime factors of b?
2, 349
Suppose -5*y + 3738 = -4*a, 5*y - a - 4902 + 1155 = 0. What are the prime factors of y?
2, 3, 5
Suppose s = -g + 3, -3*s + 2*g - g - 3 = 0. Suppose s = -9*q + 5*q. What are the prime factors of 48/1 + (0 - q)?
2, 3
Let l = -253 + 424. What are the prime factors of l?
3, 19
Let q be 3 + 10/15 - 4/6. Suppose q*d = 4*d - 5*w - 189, 4*w - 20 = 0. List the prime factors of d.
2, 107
Let p(h) = -h**3 - 6*h**2 - 5*h + 2. Let a be p(-5). Suppose -n = -a*r - 9, -r - n + 1 = r. What are the prime factors of r/(-6) - (-272)/12?
23
Suppose -252 = -0*o - 4*o. Suppose -5*k - 63 = -2*s + o, -s - k = -70. List the prime factors of s.
2, 17
Let w = 14 - -17. Suppose 3*z = 4*j - 4 + 30, -3*z = -5*j - w. Suppose 46 - 14 = 2*u + z*v, -2*u + 3*v + 42 = 0. What are the prime factors of u?
2, 3
Suppose 6*s - 10*s = 0, 0 = 4*a - 5*s - 6188. What are the prime factors of a?
7, 13, 17
Suppose -5*v - 750 = -4*d, 3*v = -4*d - 383 - 67. Let p = v - -73. Let r = -45 - p. What are the prime factors of r?
2
Let x = -26 + 36. Suppose -500 = x*y - 15*y. List the prime factors of y.
2, 5
Suppose 0*n + 16 = -g - 5*n, -3*n - 4 = 2*g. What are the prime factors of 1*(45 + (2 - g))?
43
Let n(l) = -l**2 + 14*l - 10. Let v be n(13). Let j be 4/(3/(v - 0)). Suppose 2*i = 3*z + 111, -5*i + 297 = -j*z + 3*z. List the prime factors of i.
2, 3, 5
Let n = 60 + -101. Let k = -15 + n. Let z = -39 - k. List the prime factors of z.
17
Let h(v) = v + 14. Let s be h(-11). What are the prime factors of (4 + -3)*(s - -134)?
137
What are the prime factors of -4*(4 + -7 + 3 + -194)?
2, 97
Suppose 2*s - 5*s - 2*v + 743 = 0, 5*s - 4*v = 1231. List the prime factors of s.
13, 19
Suppose 3*x - 3 = -3*f + 3, 4*f - 4 = -2*x. Let m(v) = -v**2 + v + 14. List the prime factors of m(f).
2, 7
Let d = 68 - 65. Suppose 6*y = -d*y + 486. List the prime factors of y.
2, 3
Suppose -2*n + 6 = 3*f + n, -2*f - 3*n + 2 = 0. Let h be f/(-20)*(-2 - 3). List the prime factors of 780/(-24)*(-1 - h).
5, 13
Let o be (-7 + 8)*0/(-2). Let u be (-3 + 1 - o)*-1. Suppose -u*d = 3*d - 40. List the prime factors of d.
2
Suppose -20*u + 12 = -16*u. Suppose 2*c + c + 2*m - 51 = 0, -3*m + 51 = u*c. What are the prime factors of c?
17
Let g(o) = 11*o**3 + 3*o**2 + 4*o - 7. What are the prime factors of g(4)?
761
Let k(h) = -h**2 - 6*h - 3. Suppose -y - 4 = 2. Let d be k(y). Let n(w) = -11*w - 6. List the prime factors of n(d).
3
Suppose c = 5*f + 11, 3*c = 5*f + 8*c + 35. Let u be 1/(f/279*-3). Let z = u - 3. List the prime factors of z.
2, 7
Suppose 0 = -14*w - 2800 + 11508. List the prime factors of w.
2, 311
Let x be ((-30)/9)/((-2)/9). Suppose -3*u + 5*a + 25 = 0, -x = -5*u + 4*a + 31. List the prime factors of (2 + u - 1)*1.
11
Let d be 1/4 - (-87)/4. Suppose 8*a + 31 = 9*a + 3*k, a - 2*k = 21. Let y = a - d. What are the prime factors of y?
3
Let d be (-9 - -4)*1*-5. Suppose -5*a = -d - 145. What are the prime factors of a?
2, 17
Suppose 0 = 5*j - 6 + 1. Let m be (2 - j)*54/(-3). Let o = 22 - m. What are the prime factors of o?
2, 5
Let w(f) be the first derivative of -1/4*f**4 - 5/2*f**2 - 4*f - 12 + 8/3*f**3. What are the prime factors of w(5)?
2, 23
List the prime factors of 2912 + 111 - (-2 - 1).
2, 17, 89
Let n(u) = -u**3 + 10*u**2 + 4*u - 5. Let l be n(9). Let a = 229 + l. What are the prime factors of a?
11, 31
Let d be -12*(-1 + 65/(-15)). Suppose 4*g = 5*q + 29 + 18, -5*g + q + d = 0. List the prime factors of g.
13
Let x = 51 + 249. Suppose -8*p - x = -3*p. What are the prime factors of 87/4 + (-15)/p?
2, 11
Let f(v) = 4*v - 12. Suppose -3*u + 9 = 3. Let x be u/5*(-25)/(-2). List the prime factors of f(x).
2
What are the prime factors of ((-309)/2)/((-117)/780)?
2, 5, 103
Suppose 2*d - 1 = 3*d - 4*c, 4*c = 4. Let z(l) = l + 7. Let m be z(-5). Suppose m*k + 143 = 3*i - 0*i, -4*i = d*k - 219. List the prime factors of i.
3, 17
Suppose 3*j = -4*h + 5706, 4*j + 4*h = 2*h + 7618. List the prime factors of j.
2, 953
What are the prime factors of (6/(-4))/(8/(-912*9))?
3, 19
Suppose 3*n - 102 - 45 = 0. Suppose q - 55 = -z, 4*z + n + 137 = 3*q. List the prime factors of q.
2, 29
Suppose 5*i = 5*o - 5 + 20, 2*o + 4*i - 12 = 0. Suppose o = -3*h + 6*h - 285. List the prime factors of h.
5, 19
Suppose 5*m + 12 = 8*m. Suppose -8*d + 136 = -m*d. Suppose -3*b + 32 + d = 0. What are the prime factors of b?
2, 11
Let f(r) = 9*r - 90. What are the prime factors of f(16)?
2, 3
Let i = 4 - 8. Let r = -3 - i. List the prime factors of ((-1)/(-2))/(r/8).
2
Let s = 55 - 51. Suppose g - 55 = 5*j, -6*g + 4*g = s*j - 138. List the prime factors of g.
5, 13
Suppose -2*o - 3*p - 48 = 0, o + 4*o = 5*p - 70. Let h = o + 26. What are the prime factors of h + -2 + (-3)/(-1)?
3
Let s(b) = 2*b - 18. Let r be s(10). Suppose 5*u - 292 = -0*j - 3*j, -2*u + 116 = r*j. List the prime factors of u.
59
Let y = -1797 - -3557. List the prime factors of y.
2, 5, 11
Let v(j) = -j**2 + 22. Let m(c) = -c**3 + 4*c**2 - 5*c + 6. Let d be m(3). List the prime factors of v(d).
2, 11
Let a = -719 + 1509. Suppose 0 = -5*c + 3*g + a, 3*c - c = -4*g + 290. Suppose -4*z - 11 = -c. List the prime factors of z.
2, 3
Suppose -7*y - 3 = -4*y. Let w = 53 + y. What are the prime factors of w?
2, 13
List the prime factors of (-217528)/(-72) + (-32)/144.
3, 19, 53
Suppose -2*i + 5*c = -2890, -49*i = -52*i - 3*c + 4356. List the prime factors of i.
2, 5, 29
List the prime factors of (-624547)/(-539) + (-10)/14.
2, 3, 193
Suppose 6368 = 4*q + 3*v, -q + 2322 = 5*v + 730. What are the prime factors of q?
2, 199
List the prime factors of (4 - 7 - -10) + 2559.
2, 1283
Let f = -1493 + 1729. What are the prime factors of f?
2, 59
Let k(r) = -r**3 - 9*r**2 - 4*r - 3. Let g be k(-6). Suppose -4*o + 4*t = 24, -6*t + 12 = -o - 3*t. List the prime factors of g/(-5) - o/5.
2, 3
Let t be (-4)/5 + (-421)/5. Let h = t + 43. List the prime factors of (36/(-14))/(6/h).
2, 3
Suppose -6 = -3*x, -8*x - 1691 = -3*j - 12*x. List the prime factors of j.
3, 11, 17
Let s = 8 - 2. Suppose -2*b + 5 = a, s = 5*b - 3*a - a. List the prime factors of b.
2
Let v(s) = 10*s**2 - 3*s - 7. Let o be -1 - (4 + (-3)/1). Let t(x) = 3*x**2 - x - 2. Let z(g) = o*v(g) + 7*t(g). What are the prime factors of z(-3)?
2, 3
Let n = 13 + -11. Suppose 0 = n*v - 4*d - 116, 5*v + d - 400 = -121. List the prime factors of v.
2, 7
Suppose -1 = 2*l + 7. List the prime factors of 3 + -6 + 84 + l.
7, 11
Suppose -5*i + 53 = -4*r, -2*i - 6*r + 5*r + 16 = 0. Let k be 1/((i/(-50))/(-9)). Let n = k + -27. What are the prime factors of n?
23
Let t(o) be the third derivative of 1/24*o**4 + 8/3*o**3 - 4*o**2 + 0 + 0*o. What are the prime factors of t(-7)?
3
Let w = -14 - -19. Suppose 19 = w*j - 6. Suppose 0 = h + j*g - 10, -h + 2*g = -2*g - 55. What are the prime factors of h?
5, 7
Let t(f) = 3*f**2 - 2*f + 3. Let w be t(2). Suppose 6*x - 8*x + 2*v = -4, -3*x + 2 = -5*v. Suppose x = -k + w. List the prime factors of k.
7
Let g(x) = -2 + 21*x - x**3 - 26 + 13*x**2 - 3. List the prime factors of g(14).
67
Let v(p) = p**2 - 2*p + 14. Let o(k) = k. Let h be o(9). List the prime factors of v(h).
7, 11
Let o(y) = 31*y**3 + 2*y + 1. Let c(x) = -123*x**3 - 9*x - 4. Let d(j) = 2*c(j) + 9*o(j). List the prime factors of d(1).
2, 17
Let y = -10 - -10. Let c = 0 - y. Suppose -4*u - t + 3*t + 42 = c, -4*t = -2*u + 12. What are the prime factors of u?
2, 3
Let i be ((-9)/27)/((-1)/(-15)). Suppose 5*f = -3*p + 2*p + 20, -2*f + 25 = -3*p. List the prime factors of (0 + (-2)/i)*f.
2
Let j(f) be the first derivative of 39*f**3 + f**2 - 2*f - 6. What are the prime factors of j(1)?
3, 13
Suppose 5*c - 2204 = -4*v, v = -c - 110 + 660. List the prime factors of v.
2, 3, 7, 13
Let i = 2 - -162. What are the prime factors of i?
2, 41
Let k = 795 - -9. List the prime factors of k.
2, 3, 67
List the prime factors of (-3*(-416)/60)/((-4)/(-40)).
2, 13
Let u = -26 - -29. Suppose 0*g + u*g = -27. Let v = 8 - g. What are the prime factors of v?
17
Let s(d) = 94*d + 106. What are the prime factors of s(4)?
2, 241
Let z(p) = 8*p**2 - 2*p + 29. List the prime factors of z(17).
3, 769
Let z(h) = h**3 - h**2 - 2*h. Let k be z(2). Suppose k = 2*m
|
{
"pile_set_name": "DM Mathematics"
}
|
is the greatest common divisor of 1131336 and 4256?
152
Calculate the highest common divisor of 96100353 and 27.
9
Calculate the highest common factor of 832 and 45743776.
416
What is the greatest common divisor of 42558922 and 1428?
238
What is the greatest common divisor of 3831654 and 18411?
1083
Calculate the highest common divisor of 79096 and 4296.
8
What is the highest common divisor of 484899 and 190209?
2679
What is the greatest common factor of 35604 and 1797956?
92
What is the greatest common factor of 842329405 and 635?
635
What is the greatest common factor of 24357 and 89608?
23
Calculate the greatest common divisor of 99 and 35482821.
33
Calculate the greatest common divisor of 59605 and 163922265.
8515
Calculate the greatest common factor of 759 and 7466151.
33
What is the greatest common factor of 44 and 119390139?
11
Calculate the greatest common divisor of 10239372 and 69732.
468
What is the greatest common divisor of 27838 and 106206?
62
What is the highest common factor of 59334 and 148676?
682
Calculate the highest common factor of 6657 and 1332807.
21
Calculate the highest common divisor of 4826465 and 13986.
259
What is the greatest common factor of 10412 and 1351916?
548
Calculate the greatest common factor of 455 and 10646363.
91
Calculate the greatest common divisor of 90 and 11698095.
15
What is the greatest common factor of 99017796 and 24?
12
Calculate the greatest common divisor of 1241750 and 10.
10
What is the highest common divisor of 301385 and 2065?
35
Calculate the highest common factor of 54 and 12171312.
18
What is the highest common divisor of 129492 and 54981126?
5886
What is the greatest common factor of 6290987 and 398?
199
What is the greatest common divisor of 112970 and 104390?
1430
Calculate the highest common factor of 25298 and 46884422.
3614
Calculate the highest common divisor of 47 and 50625721.
47
Calculate the greatest common factor of 3146 and 4647214.
286
What is the highest common factor of 4082 and 10149893?
2041
What is the greatest common divisor of 220545872 and 16?
16
Calculate the greatest common divisor of 279 and 29449597.
31
Calculate the highest common factor of 63586205 and 17.
17
What is the greatest common factor of 23042 and 9913118?
562
Calculate the greatest common factor of 1996 and 1817074568.
1996
Calculate the highest common divisor of 14 and 244962452.
14
What is the highest common divisor of 51689085 and 97120?
3035
Calculate the highest common factor of 3293 and 869724109.
3293
What is the greatest common divisor of 166 and 119810085?
83
Calculate the highest common factor of 161716 and 5968.
4
What is the greatest common divisor of 3674090 and 434?
14
Calculate the highest common divisor of 2841570 and 1125.
45
Calculate the greatest common factor of 82129714 and 74.
74
What is the highest common divisor of 951505226 and 42?
14
Calculate the highest common factor of 1693141708 and 33987.
11329
What is the greatest common divisor of 71785 and 75509?
49
Calculate the highest common divisor of 16776552 and 40443.
663
What is the highest common divisor of 12700 and 2041525?
3175
What is the highest common factor of 3604 and 201462699?
901
Calculate the highest common divisor of 3072 and 1416907776.
3072
What is the highest common divisor of 56660 and 2?
2
What is the greatest common factor of 9485 and 1630336?
271
Calculate the highest common divisor of 138 and 28064830.
46
What is the greatest common divisor of 783 and 96660045?
261
What is the greatest common factor of 9179392 and 1936?
16
What is the highest common factor of 1008 and 9486981?
63
Calculate the highest common divisor of 222 and 2632596.
6
Calculate the highest common factor of 1182001 and 1986.
331
What is the highest common factor of 276068 and 1924?
52
What is the highest common factor of 565578 and 73008?
234
What is the greatest common factor of 33 and 385517?
11
What is the highest common divisor of 13821924 and 18390?
3678
Calculate the greatest common factor of 25417856 and 163200.
2176
What is the highest common divisor of 19 and 45104651?
19
Calculate the greatest common divisor of 379772 and 97831.
361
Calculate the highest common factor of 1637467 and 689.
13
Calculate the highest common divisor of 6387036 and 236062.
4454
What is the highest common factor of 470566 and 99604?
74
What is the highest common factor of 24208340 and 20?
20
Calculate the highest common factor of 97856 and 24068.
44
Calculate the greatest common divisor of 930734 and 76.
38
What is the greatest common factor of 830 and 135034360?
830
Calculate the highest common divisor of 310 and 7611140.
10
What is the highest common factor of 18 and 64025268?
6
Calculate the greatest common factor of 10 and 3369980.
10
Calculate the greatest common factor of 230692 and 4079152.
2156
What is the greatest common factor of 33171 and 15441?
3
Calculate the highest common factor of 10697 and 1043239.
563
Calculate the greatest common divisor of 42478 and 28053232.
634
What is the greatest common factor of 2601 and 1993743?
153
Calculate the greatest common divisor of 50779 and 15428.
29
Calculate the highest common factor of 375630 and 45.
15
Calculate the highest common divisor of 96365862 and 34032.
4254
What is the highest common divisor of 3161728 and 4216?
136
Calculate the highest common factor of 17318708 and 6820.
1364
What is the highest common factor of 366782 and 37544?
26
What is the highest common divisor of 12019 and 219912?
119
Calculate the highest common divisor of 177610 and 1370.
10
Calculate the highest common divisor of 453 and 229765073.
151
Calculate the greatest common divisor of 67756 and 57772.
52
What is the greatest common divisor of 130 and 77470198?
26
Calculate the highest common divisor of 15510 and 387515.
235
What is the greatest common factor of 10375311 and 148789?
3629
What is the greatest common factor of 714636 and 25272?
1404
What is the highest common factor of 1056565653 and 1749?
1749
What is the greatest common divisor of 108491 and 4841868?
1219
What is the greatest common factor of 122 and 95753774?
122
What is the greatest common divisor of 607031 and 48203?
817
What is the highest common factor of 1056 and 70158528?
1056
What is the greatest common factor of 1 and 107422969?
1
What is the greatest common divisor of 10159 and 178?
1
Calculate the greatest common factor of 494600 and 24.
8
Calculate the greatest common factor of 849277710 and 972.
486
Calculate the greatest common divisor of 99683 and 9628.
83
What is the highest common divisor of 5885950 and 107200?
3350
Calculate the highest common divisor of 35919948 and 24084.
2676
Calculate the highest common factor of 118167 and 93534.
357
Calculate the greatest common divisor of 1563 and 23877951.
1563
What is the greatest common factor of 4672766 and 14?
14
Calculate the highest common divisor of 4346810 and 2726.
58
Calculate the highest common factor of 476630 and 17633.
77
Calculate the highest common divisor of 38891597 and 1173.
391
What is the highest common factor of 43 and 72737166?
43
Calculate the highest common divisor of 457821 and 517419.
2709
What is the greatest common divisor of 12432 and 24927?
21
What is the greatest common factor of 5587 and 5809518?
37
Calculate the greatest common factor of 170925168 and 1002.
1002
What is the highest common factor of 1385514 and 2232?
558
Calculate the greatest common divisor of 47934230 and 284.
142
Calculate the greatest common divisor of 72325 and 476795.
55
Calculate the greatest common divisor of 44709388 and 340.
68
Calculate the highest common factor of 1626738 and 22194.
822
Calculate the greatest common divisor of 21 and 42198708.
3
What is the greatest common divisor of 700121 and 110035?
373
What is the greatest common divisor of 5506685 and 186?
31
What is the greatest common divisor of 1496 and 15250598?
374
Calculate the highest common divisor of 474786 and 3874.
26
Calculate the greatest common divisor of 12171336 and 8.
8
Calculate the highest common divisor of 180686 and 38582.
382
What is the highest common factor of 354 and 13001476?
118
What is the highest common factor of 22 and 95711363?
11
Calculate the highest common divisor of 962928 and 12631
|
{
"pile_set_name": "DM Mathematics"
}
|
)/4
Determine g so that -12*g**4 - 87*g**3 + 99*g**2 + 222*g + 48 = 0.
-8, -1, -1/4, 2
What is l in 5*l**3/3 + 236518*l**2/9 - 3504*l = 0?
-15768, 0, 2/15
Suppose -9*q**4 + 4197*q**3 + 11427*q**2 - 80253*q + 25326 = 0. What is q?
-6, 1/3, 3, 469
Factor -148*n**2 + 126*n + 22.
-2*(n - 1)*(74*n + 11)
Factor -4*y**2 - 114384*y + 114388.
-4*(y - 1)*(y + 28597)
Suppose -2*d**5 - 130*d**4 - 62*d**3 + 97994*d**2 + 766864*d - 1923064 = 0. What is d?
-41, -11, 2, 26
Determine v so that -v**4/7 + 54*v**3 + 1913*v**2/7 + 774*v/7 - 3064/7 = 0.
-4, -2, 1, 383
Find m such that m**5/5 - 29*m**4/5 - 291*m**3/5 - 47*m**2 + 370*m = 0.
-5, 0, 2, 37
Solve 6*s**5 + 1989*s**4/2 - 2343*s**3 - 25281*s**2/2 - 6789*s + 2520 = 0 for s.
-168, -2, -1, 1/4, 5
Solve -4*b**4 - 224*b**3 - 1812*b**2 + 37224*b - 104544 = 0 for b.
-33, 4, 6
Let -5*d**4/7 - 83077*d**3/7 - 116300*d**2/7 - 33228*d/7 = 0. What is d?
-16614, -1, -2/5, 0
Let -10*d**4 - 4478*d**3 + 5386*d**2 - 898*d = 0. What is d?
-449, 0, 1/5, 1
Factor -l**2/3 - 9561*l.
-l*(l + 28683)/3
Solve -576*m**4/7 - 1732128*m**3/7 - 2020132*m**2/7 - 300604*m/7 - 12024/7 = 0 for m.
-3006, -1, -1/12
Factor -5*s**2 - 151250*s - 1143828125.
-5*(s + 15125)**2
Factor h**2 - 2669844*h + 1782016746084.
(h - 1334922)**2
Suppose 3*w**5 - 4986*w**4 + 9951*w**3 + 14952*w**2 - 19908*w - 19920 = 0. What is w?
-1, 2, 1660
Factor 25921*k**2/4 + 4669*k/2 + 841/4.
(161*k + 29)**2/4
Factor -167*v**4/9 - 667*v**3/9 - 664*v**2/9 + 4*v/9.
-v*(v + 2)**2*(167*v - 1)/9
Suppose 256*i**3/7 - 26176*i**2/7 + 105820*i - 508200 = 0. Calculate i.
6, 385/8
Find x, given that 25*x**3/4 - 119205*x**2/4 + 142038699*x/4 + 142157929/4 = 0.
-1, 11923/5
Suppose -2*b**5/3 + 33*b**4 + 1519*b**3/3 + 648*b**2 - 1364*b/3 = 0. Calculate b.
-11, -2, 0, 1/2, 62
Solve 9*k**5/4 + 877*k**4/4 + 2035*k**3/4 - 5217*k**2/4 + 194*k + 380 = 0.
-95, -4, -4/9, 1
Find r, given that -3*r**2 - 2097180*r - 366513662700 = 0.
-349530
Solve -n**5/8 + 13*n**4 + n**3/4 - 26*n**2 - n/8 + 13 = 0.
-1, 1, 104
Find x, given that 2*x**3/5 + 29158*x**2/5 = 0.
-14579, 0
Factor 4*k**4/7 + 811040*k**3/7 + 54815219784*k**2/7 + 1234895542493184*k/7 - 1234950358524012/7.
4*(k - 1)*(k + 67587)**3/7
Determine i, given that -2*i**5 - 58*i**4 + 52*i**3 + 15012*i**2 + 154062*i + 470934 = 0.
-19, -9, 17
Determine y, given that -3*y**2/8 - 5121*y/2 - 10239/2 = 0.
-6826, -2
Find x such that -x**5/3 + 583*x**4/3 + 9560*x**3/3 + 14696*x**2/3 - 192080*x/3 + 239600/3 = 0.
-10, 2, 599
Let 288*j**5 - 48*j**4 - 184*j**3 - 52*j**2 - 4*j = 0. What is j?
-1/2, -1/6, 0, 1
Suppose k**3 + 8*k**2 - 441*k - 3528 = 0. Calculate k.
-21, -8, 21
Determine z so that 3*z**3/2 + 6375*z**2/2 + 9552*z + 6366 = 0.
-2122, -2, -1
Factor 3*u**2 + 8259*u - 309690.
3*(u - 37)*(u + 2790)
Factor 392*x**3 + 1194*x**2 + 838*x + 36.
2*(x + 1)*(x + 2)*(196*x + 9)
Suppose 207*a**5 - 258*a**4 + 68*a**3 + 8*a**2 = 0. Calculate a.
-2/23, 0, 2/3
Let 16*z**4/3 - 70774*z**3/3 - 256742*z**2/3 - 35422*z + 26562 = 0. Calculate z.
-3, -1, 3/8, 4427
Factor u**4/2 + 999*u**3/2 - 1001*u**2.
u**2*(u - 2)*(u + 1001)/2
What is r in 4*r**3/3 + 960*r**2 + 3824*r + 11456/3 = 0?
-716, -2
Determine i, given that 2*i**2/7 - 410768*i/7 + 410766/7 = 0.
1, 205383
Factor 33*p**3 + 270*p**2 - 324*p - 4536.
3*(p + 6)**2*(11*p - 42)
Let -5*w**5 + 10*w**4 + 85*w**3 - 350*w**2 + 460*w - 200 = 0. Calculate w.
-5, 1, 2
Factor -5*w**2 - 7765*w + 31140.
-5*(w - 4)*(w + 1557)
Let -h**3/8 + 193*h**2/4 - 34825*h/8 - 118803/2 = 0. Calculate h.
-12, 199
Suppose -4*d**3 - 3072*d**2 - 773364*d - 63475960 = 0. What is d?
-289, -190
Factor -2*j**3/9 + 154*j**2/3 - 2990*j + 26450/9.
-2*(j - 115)**2*(j - 1)/9
Factor -20*c**3 - 7148*c**2 + 11476*c - 4308.
-4*(c - 1)*(c + 359)*(5*c - 3)
Determine u, given that 4*u**5 + 1580*u**4 + 194428*u**3 + 7643204*u**2 - 194432*u - 7644784 = 0.
-199, -98, -1, 1
Factor -m**3/3 - 121*m**2/3 + 782*m.
-m*(m - 17)*(m + 138)/3
Determine h so that h**3/4 - 21535*h**2/2 + 115928288*h + 231899648 = 0.
-2, 21536
Suppose -94*i**3/7 - 4518*i**2/7 + 2752*i + 1248/7 = 0. What is i?
-52, -3/47, 4
Factor 2*i**2/3 + 5928*i + 13177944.
2*(i + 4446)**2/3
Factor -147*b**2 + 10164*b - 175692.
-3*(7*b - 242)**2
Determine s, given that s**3 - 245*s**2 - 248*s + 492 = 0.
-2, 1, 246
Let 90*j**3 - 64982*j**2 + 1440*j + 2888 = 0. What is j?
-1/5, 2/9, 722
Factor 2*p**2/13 + 87552*p/13 + 87550/13.
2*(p + 1)*(p + 43775)/13
Factor -676*y**3 - 5400*y**2 - 10752*y + 128.
-4*(y + 4)**2*(169*y - 2)
What is y in 5*y**5 + 5735*y**4 + 1629970*y**3 - 8421200*y**2 - 36587520*y - 26542080 = 0?
-576, -2, -1, 8
Factor 25*k**3 - 2415*k**2 - 19170*k - 7280.
5*(k - 104)*(k + 7)*(5*k + 2)
What is i in i**4/4 - 1423*i**3/2 + 42479*i**2/4 - 19817*i/2 = 0?
0, 1, 14, 2831
Factor 2*a**3/9 + 1216*a**2/9 + 47458*a/9 - 48676/9.
2*(a - 1)*(a + 43)*(a + 566)/9
Factor 3*n**2/5 + 513*n + 47652/5.
3*(n + 19)*(n + 836)/5
Factor w**3/3 - 64*w**2/3 + 135*w - 114.
(w - 57)*(w - 6)*(w - 1)/3
Factor t**2/8 + 489*t/8 - 493/2.
(t - 4)*(t + 493)/8
Factor 4*l**3 - 7273*l**2 + 23598*l - 5445.
(l - 1815)*(l - 3)*(4*l - 1)
Determine l so that l**4 - 367*l**3 + 4971*l**2 - 10193*l - 15532 = 0.
-1, 4, 11, 353
Determine q, given that -2*q**2/11 - 1482*q/11 - 2956/11 = 0.
-739, -2
Let 4*p**4 + 51*p**3 - 12*p**2 - 901*p + 858 = 0. Calculate p.
-11, -6, 1, 13/4
What is b in -b**2 + 127*b + 2448 = 0?
-17, 144
Factor -2*t**3 - 7714*t**2 - 30832*t - 30824.
-2*(t + 2)**2*(t + 3853)
Factor -3*h**2/8 + 18219*h/4 - 36435/8.
-3*(h - 12145)*(h - 1)/8
Factor q**4 - 10621*q**3 - 116920*q**2 - 340196*q - 297696.
(q - 10632)*(q + 2)**2*(q + 7)
Find m such that 315*m**4 + 10946*m**3 + 27477*m**2 - 7514*m + 192 = 0.
-32, -3, 1/35, 2/9
Factor a**2/2 + 36383*a + 1323722689/2.
(a + 36383)**2/2
Determine v so that -20*v**3/7 + 10358*v**2/7 + 42796*v/7 + 4176/7 = 0.
-4, -1/10, 522
Suppose 2*k**2 + 7692*k - 460790 = 0. What is k?
-3905, 59
Solve 2*z**3/5 + 488*z**2 + 254464*z/5 + 6949376/5 = 0 for z.
-1108, -56
Solve 2*f**2/5 - 10902*f/5 + 2180 = 0.
1, 5450
Find j, given that -j**3/5 + 383*j**2/5 - 2602*j/5 - 2256 = 0.
-3, 10, 376
Determine n, given that 399*n**2 - 3561*n + 732 = 0.
4/19, 61/7
Suppose -9*o**2 + 3135*o - 19494 = 0. What is o?
19/3, 342
Solve -4*y**3 + 128936*y**2 - 1038643840*y - 6236505600 = 0 for y.
-6, 16120
What is z in 6*z**4/5 + 94*z**3/5 - 4826*z**2/5 - 3286*z/5 + 1628/5 = 0?
-37, -1, 1/3, 22
Factor -z**5 - 979*z**4 + 40360*z**3 - 407600*z**2.
-z**2*(z - 20)**2*(z + 1019)
Determine d so that 3*d**4 + 2346*d**3 + 492483*d**2 + 13231440*d + 95428800 = 0.
-376, -15
What is b in -3*b**5/2 + 117*b**4/2 + 1176*b**3 + 2106*b**2 = 0?
-13, -2, 0, 54
Determine o so that 2*o**2/5 - 496*o/5 + 29784/5 = 0.
102, 146
Determine s so that 2*s**3/7 - 31064*s**2/7 + 93178*s/7 - 62116/7 = 0.
1, 2, 15529
Factor 5*x**3 - 485*x**2 + 955*x - 475.
5*(x - 95)*(x - 1)**2
Suppose -361*w**4/3 + 1710*w**3 - 6075*w**2 = 0. Calculate w.
0, 135/19
Suppose 6*d**2/7 - 480168*d/7 + 9606721176/7 = 0. Calculate d.
40014
Let -391966580*m**3 + 784021700*m**2 - 177085*m + 10 = 0. Calculate m.
1/8854, 2
Suppose 4*v**5 + 106*v**4 + 744*v**3 + 746*v**2 - 1000*v - 600 = 0. What is v?
-15, -10, -2, -1/2, 1
Factor 2*m**3/5 - 826*m**2/5 - 2516*m/5 + 1664.
2*(m - 416)*(m - 2)*(m + 5)/5
Determine y, given that 5*y**5 - 570*y**4 + 2190*y**3 + 1160*y**2 - 6555*y - 4950 = 0.
-1, 3, 110
Solve t**5/6 - 3*t**4 - 5*t**3/3 + 30*t**2 + 3*t/2 - 27 = 0.
-3, -1, 1, 3, 18
Determine o, given that -1207801*o**2/5 + 13188*o/5 - 36/5 = 0.
6/1099
Determine y so that -y**3/5 + 584*y**2 - 2096128*y/5 - 52002816/5 = 0.
-24, 1472
Solve -4*l**5 - 176*l**4 + 2972*l**3 - 15448*l**2 + 32080*l - 23200 = 0.
-58, 2, 5
Factor -3*t**2/8 - 1161*t/2 + 4647/8.
-3*(t - 1)*(t + 1549)/8
Factor 4*s**3/3 + 260*s**2 + 12392*s/3 + 17088.
4*(s + 8)*(s + 9)*(s + 178)/3
Factor -2*g**2/5 - 1564*g/5 + 9456/5.
-2*(g - 6)*(g + 788)/5
Suppose -3112*v**2/3 + 2350*v/3 - 4 = 0. Calculate v.
2/389, 3/4
Factor 4*m**4 - 392*m**3 + 11940*m**2 - 93728*m - 592064.
4*(m - 44)*(m - 29)**2*(m + 4)
Determine k so that 2*k**5/7 + 80*k**4/7 + 316*k**3/7 - 1448*k**2/7 - 9390*k/7 - 1800 = 0.
-35, -4, -3, 5
Solve 3*d**4/8 + 3*d**3/4 - 1845*d**2/8 + 753*d/2 + 15015/2 = 0 for d.
-26, -5, 7, 22
Factor -3*h**2 - 32214*h - 96615.
-3*(h + 3)*(h + 10
|
{
"pile_set_name": "DM Mathematics"
}
|
6672
What is the common denominator of 133/715416 and -37/936?
2146248
What is the common denominator of 71/632 and -1/114076?
228152
What is the common denominator of -74/99 and 155/50796?
558756
What is the smallest common multiple of 2200 and 180?
19800
What is the lowest common multiple of 6 and 6357?
12714
Calculate the least common multiple of 56 and 7360.
51520
What is the common denominator of -109/208 and -163/2622?
272688
What is the common denominator of -65/86 and 83/6422?
276146
What is the smallest common multiple of 756 and 252?
756
What is the common denominator of 93/116030 and 43/16?
928240
What is the least common multiple of 420 and 16380?
16380
Calculate the lowest common multiple of 2790 and 53010.
53010
Find the common denominator of -1/374992 and 101/828.
3374928
Calculate the least common multiple of 14421 and 7866.
86526
What is the common denominator of 24/535 and 181/35310?
35310
Calculate the smallest common multiple of 27 and 15102.
45306
What is the lowest common multiple of 52888 and 11?
52888
Calculate the smallest common multiple of 241242 and 1488.
1929936
Calculate the lowest common multiple of 660 and 9384.
516120
What is the least common multiple of 66 and 582615?
1165230
Calculate the smallest common multiple of 2 and 23662.
23662
Find the common denominator of -41/100155 and -111/290.
5808990
Calculate the least common multiple of 1224 and 1360.
12240
Find the common denominator of 79/3132 and 13/270.
15660
Calculate the least common multiple of 86 and 1677.
3354
What is the common denominator of 149/12 and -68/1101849?
4407396
What is the common denominator of -169/1920 and 65/3?
1920
Calculate the lowest common multiple of 408320 and 37120.
408320
What is the common denominator of 43/74 and -1/12506?
12506
What is the common denominator of 30/87373 and -40/611?
87373
What is the common denominator of -83/58560 and -73/102480?
409920
Calculate the common denominator of 103/5612 and -40/1891.
173972
Calculate the common denominator of 7/124 and 44/106299.
425196
Calculate the least common multiple of 40 and 56120.
56120
Find the common denominator of -25/330297 and 131/1848.
18496632
What is the least common multiple of 29484 and 78?
29484
What is the least common multiple of 98833 and 494165?
494165
Calculate the lowest common multiple of 17680 and 2080.
35360
Calculate the common denominator of 65/229044 and 31/36.
687132
What is the least common multiple of 41265 and 45?
41265
What is the least common multiple of 39 and 21117?
274521
What is the common denominator of 69/56 and 11/4256?
4256
Find the common denominator of 31/94350 and 115/1554.
660450
What is the common denominator of 52/5 and 14/431225?
431225
What is the least common multiple of 12805 and 351?
345735
What is the smallest common multiple of 17 and 548352?
548352
Calculate the common denominator of -19/840 and 197/3990.
15960
What is the lowest common multiple of 33 and 38451?
422961
Calculate the smallest common multiple of 86584 and 13152.
1039008
Calculate the least common multiple of 175112 and 5192.
1926232
Calculate the least common multiple of 6590 and 125210.
125210
Calculate the common denominator of 17/1161 and -51/1634.
44118
Calculate the lowest common multiple of 59092 and 499596.
5495556
What is the common denominator of 32/53351 and -20/93?
160053
What is the common denominator of -99/7010 and 11/19628?
98140
Find the common denominator of 129/30212 and 133/624.
362544
Find the common denominator of 69/406 and -97/34560.
7015680
Calculate the common denominator of 71/22938 and 21/168212.
504636
Calculate the least common multiple of 3222 and 1611.
3222
Calculate the common denominator of -21/247405 and 69/197924.
989620
Calculate the lowest common multiple of 9712 and 8498.
67984
Calculate the common denominator of -151/1491918 and -38/353349.
13427262
What is the common denominator of 69/22622 and -28/5?
113110
Calculate the least common multiple of 12765 and 90.
76590
Calculate the least common multiple of 156 and 69264.
69264
What is the lowest common multiple of 48 and 12?
48
Calculate the common denominator of -47/14560 and 109/1612.
451360
What is the common denominator of -29/5208 and -77/72?
15624
Calculate the smallest common multiple of 20 and 18658.
186580
Calculate the smallest common multiple of 748 and 2112.
35904
Calculate the common denominator of 29/2 and -61/294798.
294798
What is the common denominator of 26/409653 and -113/1242?
2457918
Calculate the least common multiple of 1872 and 609336.
1218672
What is the least common multiple of 5660 and 77542?
775420
Calculate the lowest common multiple of 18 and 840.
2520
What is the common denominator of -61/3123 and -109/3470?
31230
Find the common denominator of -89/6416 and 111/160.
64160
What is the common denominator of 23/172135 and 38/519?
516405
Calculate the smallest common multiple of 112 and 1410.
78960
What is the smallest common multiple of 1535043 and 5?
7675215
Calculate the lowest common multiple of 289 and 19.
5491
What is the lowest common multiple of 68424 and 72?
205272
What is the least common multiple of 2530 and 1210?
27830
What is the common denominator of -67/4 and -3/938788?
938788
Calculate the common denominator of -109/20508 and -73/4.
20508
Find the common denominator of -16/33835 and -32/221695.
14853565
Find the common denominator of 137/5532 and 79/922.
5532
Calculate the lowest common multiple of 10296 and 1248.
41184
What is the common denominator of -43/330 and -23/16275?
358050
Calculate the smallest common multiple of 180 and 234.
2340
What is the least common multiple of 69 and 16046?
1107174
Calculate the lowest common multiple of 43 and 4001.
172043
What is the common denominator of -37/7680 and -47/464?
222720
What is the common denominator of -79/9228 and 29/158414?
950484
What is the least common multiple of 140946 and 11?
1550406
Calculate the lowest common multiple of 16696 and 6261.
50088
Find the common denominator of 67/2510 and 87/3514.
17570
What is the least common multiple of 87339 and 315?
1310085
Calculate the smallest common multiple of 224 and 1456.
2912
Calculate the least common multiple of 616 and 1672.
11704
What is the lowest common multiple of 7200 and 6480?
64800
Calculate the smallest common multiple of 5928 and 2850.
148200
Find the common denominator of -47/50260 and -19/45.
452340
Calculate the lowest common multiple of 21252 and 10626.
21252
What is the smallest common multiple of 22 and 545224?
5997464
What is the lowest common multiple of 7708 and 658?
53956
What is the least common multiple of 112560 and 66?
1238160
What is the common denominator of -33/949 and -63/1492?
1415908
What is the lowest common multiple of 10680 and 267?
10680
Find the common denominator of 61/84 and 169/16296.
16296
What is the lowest common multiple of 808917 and 33?
8898087
Find the common denominator of -131/288 and 23/14.
2016
What is the smallest common multiple of 4859 and 26402?
2983426
What is the smallest common multiple of 72294 and 66?
795234
What is the common denominator of 113/98760 and -131/49380?
98760
Calculate the lowest common multiple of 20 and 25840.
25840
What is the least common multiple of 5460 and 4725?
245700
Calculate the common denominator of -73/104806 and 31/104.
419224
What is the common denominator of -109/40432 and 23/456?
121296
Calculate the common denominator of -61/1180 and -54/295.
1180
What is the lowest common multiple of 12648 and 816?
25296
Calculate the least common multiple of 645678 and 132.
1291356
What is the common denominator of -67/5208 and -71/132804?
265608
What is the common denominator of -43/425250 and -61/6300?
850500
Calculate the common denominator of -61/42546 and -74/189.
382914
Calculate the smallest common multiple of 276 and 944656.
2833968
Calculate the smallest common multiple of 4716 and 110826.
221652
Calculate the common denominator of -17 and 39/7570.
7570
What is the common denominator of -46/11835 and 121/40?
94680
Calculate the lowest common multiple of 193056 and 144792.
579168
What is the least common multiple of 1197 and 165718?
1491462
Find the common denominator of 91/334652 and 23/8.
669304
What is the smallest common multiple o
|
{
"pile_set_name": "DM Mathematics"
}
|
60 + 121*i**2/2 + 65. Let y(g) be the second derivative of c(g). Let x(a) = -a**2 - 22*a. Give y(x(p)).
-p**4 - 44*p**3 - 484*p**2
Let f(c) = -4*c + 449. Let w(u) = -4301*u - 2. Calculate w(f(d)).
17204*d - 1931151
Let n(r) = 45224*r**2. Let a(p) = 1287*p. Determine n(a(f)).
74907631656*f**2
Let p(c) = 13*c + 937. Let j(d) = -1497*d - 3. Give p(j(q)).
-19461*q + 898
Let i(b) = -3*b**2 + 27. Let y(l) be the first derivative of -2*l**3/3 - 685. What is i(y(t))?
-12*t**4 + 27
Let u(d) = -d**2. Let h(x) be the first derivative of 300*x**3 - 2481. What is h(u(o))?
900*o**4
Let o(z) = 8*z - 11*z - 3*z. Let y(k) = -5*k**2 - 3. Let b(u) = -380*u**2 - 240. Let q(h) = b(h) - 80*y(h). Calculate q(o(i)).
720*i**2
Let u(z) = -298*z + 1. Let k(s) = -209956*s. Determine u(k(l)).
62566888*l + 1
Let i(m) = -25*m - 9895503. Let x(g) = 2*g. What is x(i(y))?
-50*y - 19791006
Let b(u) = 51011*u + 1. Let v(k) = 2703*k. Give v(b(l)).
137882733*l + 2703
Let y(k) = -306*k. Let l(n) = 30*n - 84. Let d(o) = -4*o + 10. Let t(w) = 42*d(w) + 5*l(w). Give y(t(m)).
5508*m
Let i(z) be the second derivative of -35*z**4/12 - 9*z - 42. Let u(n) = -179*n. Determine u(i(h)).
6265*h**2
Let l(n) = 4*n**2 + 31 - 7*n**2 + 36 + 0 + 4*n**2. Let t(s) be the second derivative of s**3/2 - 3*s. Give t(l(d)).
3*d**2 + 201
Let p(g) = -20720*g + 2. Let h(s) = -95*s. Calculate h(p(a)).
1968400*a - 190
Let b(y) = 7*y**2. Suppose 5*g + 65 + 132 = 2*j, -3*j - 5*g = -308. Let s(i) = -j + 50 - i + 51. What is b(s(p))?
7*p**2
Let t be (7 - 5) + (1 - 1)/(-2). Let y(z) = 16*z**2 - t*z**2 - 7*z**2. Let s(w) = 6*w. Calculate y(s(v)).
252*v**2
Let v(z) = 1437802*z. Let m(n) = 8*n**2. Calculate v(m(k)).
11502416*k**2
Let a(f) = -15*f**2. Suppose 2*l + 3*c = -2*c - 19, -15 = 5*c. Let h be 3*1/((-3)/l). Let w(k) = 8*k**2 + 7*k**2 - 14*k**h. Give a(w(d)).
-15*d**4
Let z(d) be the first derivative of -2*d**2 - 5*d - 261. Let i(a) = 9*a. What is i(z(q))?
-36*q - 45
Let b(q) = 96*q**2 + 2*q. Suppose 2*s = -2*s - 3*y - 4, 0 = s - y - 6. Let f(t) = -7*t**s - 21*t + 3*t**2 + 2*t**2 + 21*t. Determine b(f(g)).
384*g**4 - 4*g**2
Let w(i) = 3*i - 28. Let v(p) be the second derivative of p**4/2 + 3*p**2 - 1481*p. Determine w(v(t)).
18*t**2 - 10
Let y(j) = -16*j + 151. Let d be y(9). Let o(l) = -160308 - d*l + 160308. Let c(m) = -39*m. Determine c(o(q)).
273*q
Let l(k) = 6716*k. Let f(m) = 50985*m. What is f(l(n))?
342415260*n
Let n(z) = z**3 + 14*z**2 + 10*z - 31. Let c be n(-14). Let u be 2/(-1)*(c/2)/9. Let l(i) = u*i + 18*i - 45*i. Let d(y) = y**2. Determine d(l(t)).
64*t**2
Let j(s) = -15*s + 1. Let x(i) = 121*i + 101. Let p(k) = 8*j(k) + x(k). Let g(l) = 2*l**2. Calculate p(g(q)).
2*q**2 + 109
Let l(m) = -24*m**2. Let z(q) be the third derivative of -5*q**4/6 - q**3/3 - 4*q**2 - 3. What is z(l(f))?
480*f**2 - 2
Let u(o) = 2*o. Let f(w) be the third derivative of 6*w**4 - 42*w**2 - 19*w. Determine u(f(a)).
288*a
Let o(q) = -2097395*q. Let b(c) = -16*c. Calculate o(b(v)).
33558320*v
Let d(h) = -90*h**2 + 2. Let o(y) = -22194*y**2 + 44404*y**2 - 22163*y**2. What is o(d(c))?
380700*c**4 - 16920*c**2 + 188
Let c(r) be the second derivative of 0*r**2 + 0*r**3 - r + 11/3*r**4 + 0. Let x(v) = 3619*v. Let p(j) = 5308*j. Let f(y) = -15*p(y) + 22*x(y). Give c(f(m)).
176*m**2
Let l(b) be the second derivative of 41*b**5/120 + 5*b**3/2 - b + 53. Let i(f) be the second derivative of l(f). Let d(r) = -r. What is i(d(u))?
-41*u
Let s(f) = 749*f. Let g(z) be the third derivative of z**5/20 - 34*z**2 - 10. Give g(s(i)).
1683003*i**2
Let q(v) = 10*v**2. Let b(m) = 7943948*m. Determine b(q(c)).
79439480*c**2
Let n(s) = -s**2. Let i(z) = -6*z - 76. Suppose 44*c - 45*c = 3. Let p(x) = 10*x + 76. Let t(j) = c*i(j) - 2*p(j). What is t(n(u))?
2*u**2 + 76
Let x(k) = -2*k**2. Let b(d) be the first derivative of 2934*d**2 - 1815. Give x(b(l)).
-68866848*l**2
Let g(h) = -459*h - 436*h + 895*h - 2725*h**2. Let c(p) = -p**2. What is c(g(d))?
-7425625*d**4
Let r(z) = 7*z. Let w(f) = f + 4. Let d be w(-2). Let q(u) = 2*u**d - 21 + 0*u**2 + 21. Give r(q(j)).
14*j**2
Let p(s) = s. Let f(m) = 10*m**2 + 17058*m - 1. What is p(f(n))?
10*n**2 + 17058*n - 1
Let j(f) = 350 - 1067 + 355 - 234*f**2 + 362. Let a(k) = 3*k**2. Calculate a(j(m)).
164268*m**4
Let l(c) = -10*c. Let r(w) = 4 - 19*w**2 + 20 - 37 + 13. Give r(l(a)).
-1900*a**2
Let m(t) = 6*t**2 + 39*t. Let w(l) = 57*l - 4. Let o(z) = -432*z + 30. Let q(x) = 2*o(x) + 15*w(x). What is q(m(i))?
-54*i**2 - 351*i
Let z(d) = 3*d. Let u(c) = -3566229*c**2. Calculate z(u(m)).
-10698687*m**2
Let z(a) = -39*a. Let x(d) be the second derivative of 44*d**3/3 + 2*d + 5322. Give x(z(i)).
-3432*i
Let h(u) be the third derivative of u**4/24 + 2*u**2. Let p(c) = 9*c**2. Let x(j) = -44*j**2 + 885 - 885. Let t(b) = -11*p(b) - 2*x(b). What is h(t(z))?
-11*z**2
Let g(o) = 7*o**2. Let f(n) = -41*n**2 - 10*n**2 + n**2. Determine g(f(w)).
17500*w**4
Let n(f) = 2*f**2 + 2. Let r be n(-2). Let o(w) = r*w + 0*w - 7*w. Let c(b) = -55*b**2. Give c(o(d)).
-495*d**2
Let j(a) = 4*a**2. Let d(l) be the second derivative of -19*l**4/12 + 54*l**2 + 43*l + 1. Let u(n) be the first derivative of d(n). Calculate u(j(k)).
-152*k**2
Let f(w) = 3*w**2. Let d(t) = -13470*t + 6749*t + 6744*t. Calculate f(d(n)).
1587*n**2
Let m(j) = 2*j. Let h(g) = -1532473*g**2 - 11. What is m(h(f))?
-3064946*f**2 - 22
Let p(g) = -g**2 + 6*g - 6. Let i(x) = 4*x**2 - 28*x + 28. Let l(v) = -6*i(v) - 28*p(v). Let j(a) = -31*a**2. Determine l(j(m)).
3844*m**4
Let z(q) = 8563*q. Let h(u) = -526*u**2 + 2116*u**2 - 528*u**2 - 529*u**2 - 531*u**2. What is z(h(m))?
17126*m**2
Let y(f) = 591*f**2. Let l(m) = -4*m**2 + 0*m**2 + 2*m**2 + 5*m**2 + 0*m**2. Determine y(l(h)).
5319*h**4
Let b(a) = 16*a + 27. Let z(n) = -7*n - 12. Let y(g) = -8*b(g) - 18*z(g). Let v(q) be the third derivative of 7*q**5/6 - 3*q**2. Calculate y(v(s)).
-140*s**2
Let p(i) = 183*i. Let o(j) be the third derivative of j**5/20 + 363*j**2. Determine p(o(t)).
549*t**2
Let d(y) be the third derivative of -y**4/12 - 109*y**2. Let x(j) = 42*j**2 - 325*j + 652*j - 327*j. What is d(x(h))?
-84*h**2
Let c(h) = 7*h**2. Suppose -8 = -2*j + 3*p + 1, 5*p = 3*j - 14. Suppose w + 9 = j*u, -3 = -u + w - 2. Let t(z) = u - 11 - 2*z + 7. Give c(t(m)).
28*m**2
Let d(m) = -104340962*m**2. Let h(l) = 2*l. What is d(h(j))?
-417363848*j**2
Let j(l) = -l**2 + 15. Let w(x) = -15*x**2 + 6*x - 66. Let z(n) = n - 11. Let g(v) = w(v) - 6*z(v). Give g(j(h)).
-15*h**4 + 450*h**2 - 3375
Let u(q) = q**2. Let x(o) be the third derivative of 47*o**5/60 + o**3/2 + 4878*o**2. What is x(u(t))?
47*t**4 + 3
Let m(p) = 5*p + 3061. Let s(r) = -3*r. Calculate s(m(w)).
-15*w - 9183
Let h(s) = 7*s**2. Let m(c) be the first derivative of 17*c**2 + 636. Give h(m(z)).
8092*z**2
Let b(q) = -12*q**2. Let l(h) be the first derivative of -7*h**5/40 - 2*h**3/3 - 27*h**2 + 70. Let n(r) be the third derivative of l(r). Determine b(n(j)).
-5292*j**2
Suppose 65*z + 128 = 73*z. Let q(c) = 53 - 29 - z*c**2 - 24. Let s(n) = 6*n. Let i(y) = -2*y. Let j(l) = 5*i(l) + 2*s(l). Determine q(j(a)).
-64*a**2
Let x(v) = -3*v. Let k(n) = -n - 1. Let g(q) = -41*q**2 - q + 1. Let a(c) = c + 1. Let i(p) = -6*a(p) - g(p). Let t(w) = -i(w) + 5*k(w). Give t(x(f)).
-369*f**2 + 2
Let i(b) = 3*b. Let f(z) = -12180*z**2 + 5*z + 120. Let o(j) = 20300*j**2 - 8*j - 195. Let x(v) = -13*f(v) - 8*o(v). Determine i(x(g)).
-12180*g**2 - 3*g
Let r(h) be the second derivative of -31*h**5/60 + 163*h**2/2 + 2*h + 11. Let j(x) be the first derivative of r(x). Let a(b) = -2*b**2. Determine a(j(d)).
-1922*d**4
Let l(d) = -13*d**2 - 86*d. Let j(v) = -291*v + 152*v + 140*v. Calculate l(j(i)).
-13*i**2 - 86*i
Let n(i) = 45*i**2 - 27. Let w(h) = 9. Let f(t) = n(t) + 3*w(t). Let m(u) = -4*u. Give m(f(x)).
-180*x**2
Let d(i) be the first derivative of 3*i**2/2 + 11. Let p(f) be the second derivative of -7*f**4/12 - 5*f**3/6 - 497*f + 2. Determine d(p(o)).
-21*o**2 - 15*o
Let w(s) = -11*s + 2. Let l(h) = 9*h - 11620 + 5810 + 5810. Give l(w(j)).
-99*j + 18
Let q(s) = 72857*s. Let m(d) = -16*d**2 + 3*d. Give m(q(j)).
-84930279184*j**2 + 218571*j
Let l(y) = 19*y**2 + 304*y - 238. Let k(a) = 3*a. Determine k(l(o)).
57*o**2 + 912*o - 714
Let f(v) be the first derivative of -v**2 + 1526. Let u(w) = 5
|
{
"pile_set_name": "DM Mathematics"
}
|
(-3). Let k = 43 - x. Suppose 0 = -53*c + 26*c + 108. What is the greatest common factor of k and c?
4
Let b be ((-4)/(-6))/((-10)/(-15)). Let r be -3 + -1 + b + 233. What is the greatest common factor of r and 23?
23
Let l = -127 - -238. Calculate the highest common factor of l and 74.
37
Let p be (18/(-4))/(2/(-156)). Let c = 2317 + -2278. What is the greatest common divisor of c and p?
39
Let f be (1 + 0)*-1 - 2. Let t be (f/(-2))/((-3)/(-4)). Suppose -5*o - i + 51 = 0, -2*o - 2904*i + 2908*i = 28. Calculate the highest common divisor of o and t.
2
Suppose 2*r - 719 = 5*k + 19, 0 = -5*r - k + 1845. Calculate the highest common divisor of 18 and r.
9
Let u(o) = -9*o + 116. Let c be u(12). What is the greatest common divisor of c and 5?
1
Let y be (-3)/4 - (-195)/20. Let i be 46/6 - 0 - (-3)/y. What is the highest common divisor of i and 4?
4
Suppose -3 = -2*u + i + 62, 2*i - 2 = 0. What is the highest common factor of u and 2343?
33
Let i = -92 + 170. What is the greatest common divisor of 52 and i?
26
Suppose -2*v = 0, w + 112 = -4*v + 325. Calculate the highest common divisor of 3 and w.
3
Let o = -28 - -51. Let d = -79 + 263. Calculate the highest common divisor of o and d.
23
Let d(z) = 169*z - 2. Let a be d(2). Let s = 1274 - 1226. What is the highest common factor of a and s?
48
Let g = -1171 - -1304. Calculate the greatest common divisor of 19 and g.
19
Suppose -9*q + 5*q + 508 = 4*a, -5*q - 25 = 0. What is the greatest common factor of a and 198?
66
Let w be 383/3 + (-1)/(-3). Suppose 3*z - 240 - 145 - 191 = 0. What is the greatest common factor of w and z?
64
Let x(h) = -h**3 - 6*h**2 - 7*h + 10. Let k be x(-4). What is the greatest common factor of 138 and k?
6
Let l = -67 + 69. Suppose 71 = 2*t - 5*v, -3*v - 15 = l*v. Calculate the highest common factor of t and 42.
14
Suppose 0*l - 3*l = -42. Suppose -2*c + 9 + 1 = 0. Suppose 5*z - 136 = -v, z - 8 + 0 = -c*v. Calculate the greatest common factor of z and l.
14
Let x(t) = 23*t**2 - 3*t + 2. Let l be x(2). Suppose 0 = 2*q - 6*q + l. Calculate the greatest common divisor of q and 176.
22
Let j = 262 - 199. What is the greatest common factor of 21 and j?
21
Let y = 9 + -7. Suppose 35 = 4*b + i + 2*i, 0 = y*b - 5*i + 15. Suppose -3*n - b*k + 44 = 0, -4*k + 32 = -n + 3*n. What is the highest common factor of 2 and n?
2
Suppose -27*u = -5*o - 23*u + 2442, -5*o + 5*u + 2440 = 0. Calculate the greatest common factor of 42 and o.
14
Let p(q) = 2*q**2 + 23*q + 18. Let b be p(-12). Calculate the highest common divisor of b and 70.
10
Suppose 4*m - 74 = -0*m - 2*o, -5 = -o. What is the highest common factor of m and 4?
4
Suppose 26*h + 3*m = 22*h + 2746, -5*m = 5*h - 3430. What is the highest common divisor of h and 96?
16
Let n be ((-3)/2)/((-3)/88). Let i = -16 + 13. Let u be (-165)/2*4/i. Calculate the greatest common factor of n and u.
22
Suppose 138*c = 117*c + 1470. Calculate the greatest common divisor of 90 and c.
10
Suppose l - 4*l = 3*d - 78, -d - 99 = -4*l. Suppose 5*m - 5 = -0*w + w, 3*w = -5*m + l. Suppose -h = -w - 7. Calculate the highest common divisor of 18 and h.
6
Suppose 4*t + k + 0*k = 1523, 0 = -3*t + 5*k + 1125. Let b be (-78)/(-4)*t/57. Calculate the highest common factor of 52 and b.
26
Suppose 17*n = -8*n + 7650. What is the greatest common factor of n and 9?
9
Let q be (36/24)/((-2)/(-44)). Calculate the greatest common factor of 297 and q.
33
Let c(q) = -q. Let n(b) = -12. Let u(p) = 6*c(p) + n(p). Let o be u(-5). Suppose 16 = 4*w, 2*w = 2*g + 6*w - o. Calculate the highest common divisor of g and 8.
1
Suppose 0*r = -4*r + 5*s + 14, 2 = s. Let y be -1*(-15 + -3 + 9). What is the highest common factor of y and r?
3
Suppose 283 = -4*s + b, -247 = 2*s - 3*b - 98. Let h be 2 - (-6)/(-4) - s/28. Calculate the greatest common factor of h and 57.
3
Let q be 36995/1359 - 4/18. Calculate the highest common divisor of q and 513.
27
Suppose 2 = -d, 6*x - 5*x - 5*d = 28. What is the highest common factor of x and 114?
6
Let h be (-16)/144 + 1406/18. Calculate the greatest common divisor of h and 12.
6
Let b be (14/7)/(-2) + -1 + -1. Let l(t) = -15*t - 8. Let q be l(b). Calculate the highest common divisor of 111 and q.
37
Suppose 5*y - 102 = -3*f + 98, 80 = 2*y + 4*f. What is the highest common factor of y and 110?
10
Let z = 45 - 39. Suppose 420 + 252 = z*j. What is the greatest common divisor of j and 14?
14
Suppose -72 = 3896*o - 3900*o. What is the highest common factor of o and 81?
9
Let r(g) = 2*g**3 + 15*g**2 + 5*g - 9. Let m be r(-7). Let v(y) = y**2 + 6*y + 4. Let a be v(-4). Let h = a - -9. What is the highest common factor of h and m?
5
Suppose 3*p = -9, 2*v + 6*p = 3*p - 3. Suppose -2*w = -5*w + 672. Suppose -v*l - l + w = 0. Calculate the greatest common factor of l and 14.
14
Suppose 5*l + 0*c = 3*c + 325, 2*c - 65 = -l. Suppose 5*o - 55 = 2*n, 3*n - 37 = -4*o + 6*n. Calculate the highest common divisor of o and l.
13
Suppose -4*z - 3*c = -75, -5*z + 28*c = 31*c - 93. Calculate the greatest common divisor of z and 18.
18
Let o(u) = -2*u**2 - 53*u + 29. Let k be o(-27). Suppose 2*c = -4*g - 0*c + 94, k*g - 3*c - 59 = 0. Calculate the highest common divisor of g and 125.
25
Let a = -52 + 82. What is the greatest common factor of a and 30?
30
Suppose 15 = -3*c, 0*c - 105 = -4*y - 3*c. Calculate the highest common factor of 340 and y.
10
Let o(z) = 0*z**2 - 6*z - 6*z**2 + 7*z**2 - 6. Let h be o(13). Calculate the greatest common divisor of 34 and h.
17
Let x(i) = -151*i**3 + 2*i**2 + 2*i + 1. Let z be x(-1). Let m = -107 + z. What is the greatest common divisor of m and 5?
5
Suppose -2*q = q - 306. Let r be (4/(-3))/(1*(-2)/(-6)). Let d be r/(-5) - (-729)/45. Calculate the highest common factor of d and q.
17
Let a(d) = 433*d**2 + 8*d - 9. Let f be a(1). What is the highest common divisor of f and 48?
48
Let x = 627 - 618. Let f be 2/5 - (-336)/10. Suppose 0 = 5*v - 2*o - 358, -f = -2*v - 3*o + 113. Calculate the highest common factor of v and x.
9
Let g be -1 + 5 + (-3)/(-3). Suppose 0*h = -g*h + 70. Suppose -4*s = -54 - 2. What is the highest common divisor of s and h?
14
Suppose 2*i = -2*y - 4, 0*y - i = 5*y - 6. Suppose -1 - 15 = -y*l. What is the highest common divisor of 16 and l?
8
Let p be -26*((-6)/(-4) - 4). Suppose u - p - 127 = 0. Calculate the highest common divisor of 12 and u.
12
Let t = 4 + 15. Suppose -14*n = -t*n + 460. What is the greatest common factor of n and 23?
23
Let y(w) = w - 18. Let h be y(31). Let p(n) = 2*n**2 - 2 - 6*n + 3 + n. Let b be p(4). What is the greatest common factor of b and h?
13
Let z = 907 - 535. Calculate the highest common divisor of z and 279.
93
Let g = 42 - 43. Let r be ((-6)/3 - g) + 86. Calculate the highest common divisor of 17 and r.
17
Suppose -3*h + 9 = 0, -5*g + 0*h + 271 = -3*h. Suppose g - 70 = -u. What is the highest common divisor of u and 98?
14
Suppose 0 = -4*n + 4*f + 600, 5*n - 2*f = 187 + 569. Calculate the highest common divisor of 8 and n.
8
Suppose 4*m - 3*d = 5*m - 299, -5*m + d + 1495 = 0. What is the highest common divisor of m and 26?
13
Suppose 14*n = 11*n - 87. Let p = n - -38. Suppose 5*m - 4*a - p = 0, -2*m = -m + a. What is the greatest common factor of 7 and m?
1
Suppose k - 2*y + 28 = 156, -y + 261 = 2*k. Let a be 24 + 0 - (0 - 2). Calculate the greatest common factor of k and a.
26
Suppose s = -0*s + 9. Let y(u) = -u + 14. Let d be y(10). Suppose d*c + 72 = v + c, c - 72 = -v. What is the greatest common divisor of s and v?
9
Let s = 38 + -33. Suppose 30 = 4*q - 2*g, 0*g = -q - s*g + 2. Let u be (-3)/((-9)/(-6)) + 23. What is the highest common factor of u and q?
7
Let z = 23 + -12. Let f(k) = -k**2 - 15*k + 37. Let o be f(-17). Suppose w - 199 = -o*q + 167, 3*q - 351 = 4*w. Calculate the highest common factor of z and q.
11
Let a(h) = -h**2 + 43*h + 10. Let i be a(33). Calculate the highest common factor of i and 20.
20
Suppose 0 = 2*a - 6*a + 16. Suppose a*d - 20 = 2*d - 2*c, 2*c + 20 = 3*d. Let s = -5558 + 5574. Calculate the greatest common divisor of d and s.
8
Suppose -2*v = -r - 0 + 4, -5*r + 5 = 5*v. Let m be -4 + 48 - (r + -1). Calculate the greatest common factor of m and 43.
43
Let d(g) = -1. Let z(h) = -h - 3. Let y(n) = -5*d(n) - z(n). Let u be y(10). What is the highes
|
{
"pile_set_name": "DM Mathematics"
}
|
2. Let p(u) = -5*u**2 + 30*u**3 + 5*u**i + 1 + 2*u. Let x be p(-1). Round x to the nearest ten.
-30
Suppose -t + 3*t = 64. Suppose 4*v - 36 = 4*p, 2*p + 3*v = 6*p + t. Let k = -6 - p. What is k rounded to the nearest 10?
0
Let n = 6.005 + -6. Let r = -5.405 + n. What is r rounded to zero decimal places?
-5
Suppose 2*r + 27400020 = -4*i, 0*i + 41099980 = -3*r + 4*i. What is r rounded to the nearest 1000000?
-14000000
Let a = 0.1 + 0.5. Let y = a + -0.6001. What is y rounded to 4 decimal places?
-0.0001
Let l = 728506 - 1672506. What is l rounded to the nearest one hundred thousand?
-900000
Suppose 7 = -4*n - 5. Let t(j) = j**2 + 2*j + 1. Let d be t(n). Suppose -2*b - q = -3*q - 10992, 21988 = d*b - 3*q. Round b to the nearest one thousand.
6000
Let w = -1.3 - -2. Let x = w + -1.3. Let c = x - -0.564. What is c rounded to 2 decimal places?
-0.04
Let k(j) = -j**3 - 16*j**2 + 2*j + 10. Let w be k(-14). Round w to the nearest 100.
-400
Suppose -2*k - 14592 = -0*k - 4*g, -5*k = g + 36502. What is k rounded to the nearest 1000?
-7000
Let a = -11 - -2. Let z = 11.3 + a. Let k = z - 1.73. Round k to one decimal place.
0.6
Let h = -0.91 + 0.91000142. Round h to 7 dps.
0.0000014
Let z = 21 + -60. Let c = 38.981 + z. Let h = c - 4.381. Round h to the nearest integer.
-4
Let x = 0.1268 - -2.9112. Let k = 0.062 + x. Round k to the nearest integer.
3
Let p = 17.616 + -18. Let j = 82 - 81.67. Let v = j + p. Round v to two dps.
-0.05
Let y = -1.6 - -1.6000085. What is y rounded to six dps?
0.000009
Let x(l) = -254*l - 6. Let g be x(-4). Suppose 0 = -9*h + 4*h + 10. Let w be g/(-12) + h/12. What is w rounded to the nearest 10?
-80
Let r(c) = 19*c - 7. Let w be r(6). Let i = -173 - w. Round i to the nearest one hundred.
-300
Let z = 5526 - 5523.9996. Let t = 6 + -4. Let n = t - z. Round n to 4 decimal places.
-0.0004
Suppose 10 = 2*p + 3*p. Suppose 4*s + 5*i = 800020, -s = p*i - 4*i - 199992. Round s to the nearest 100000.
200000
Let b = -437088 - 422912. What is b rounded to the nearest one hundred thousand?
-900000
Suppose 10*l = -533391 - 656609. Round l to the nearest ten thousand.
-120000
Let b = -1.389 + 1.4. Round b to 3 dps.
0.011
Let m = -835818 + 343579. Let v = -492239.02000002 - m. Let y = v - -0.02. Round y to seven decimal places.
0
Let f be -5 + 4 + 197998/(-2). Round f to the nearest 10000.
-100000
Let o(n) = -n**2 + 8*n - 8. Let u be (-1 + 2)/(1/6). Let a be o(u). Suppose -326671 = a*r - 122671. Round r to the nearest 10000.
-50000
Let x = 14860164.99951 - 14860286. Let p = x - -121. What is p rounded to four decimal places?
-0.0005
Let a(w) = 7*w**2 + w - 1. Let o be a(4). Let h = -32 + o. Round h to the nearest 10.
80
Suppose 4*y - 393 = -1193. Round y to the nearest one hundred.
-200
Let v = 0.5 + -5.5. Let t = v + 5.00001. What is t rounded to 4 dps?
0
Let u = 6074.3 + -5805. Let k = u + -269.1813. Let x = 0.12 - k. Round x to 3 decimal places.
0.001
Let h = 323.0000133 + -323. Round h to 6 dps.
0.000013
Let z = -0.04319486 + -0.01280577. Let q = z - -0.056. What is q rounded to seven decimal places?
-0.0000006
Let y = 19 - 13. Let n = -5.999994 + y. Round n to six decimal places.
0.000006
Let a = -304.16 + 312. Let f = 9.7 - 1.7. Let o = a - f. Round o to 1 dp.
-0.2
Suppose -7 = -j - 4. Let t be j/5 + 40/(-25). Let o be ((-3039)/(-9) + t)*-3. Round o to the nearest 100.
-1000
Let f = 346193.07805 - 273191.0777. Let k = -72984 + f. Let y = k + -18. Round y to four decimal places.
0.0004
Suppose 0 = -7*s - 160280234 + 38480234. What is s rounded to the nearest one million?
-17000000
Let b = -1389021 + 1994996. Let o = -605958.999945 + b. Let l = 16 - o. What is l rounded to 5 dps?
-0.00006
Let x = -81 + 81.00107. Round x to 4 decimal places.
0.0011
Let c(h) = 3250000*h. Let s be c(-2). What is s rounded to the nearest one million?
-7000000
Let a be 1/1 - (-1427 - -4). Suppose -4*p - a = 3*l, -l + 5*p = 22 + 478. What is l rounded to the nearest one hundred?
-500
Let l = -25 + 18. Let i = -7.02 - l. Round i to three dps.
-0.02
Let s = -26 + 23. Let w = 2.999904 + s. Round w to five decimal places.
-0.0001
Suppose 0 = 5*p + 23 - 93. Let c = p - 30. Let j be (-161257 - -7)/(2/c). Round j to the nearest 100000.
1300000
Suppose 0 = -3*q - 0*q + 6. Let l be (q + (-1398)/9)*3. Round l to the nearest 100.
-500
Suppose -2*j = -j - 7. Let a(x) = -885714*x - 2. Let p be a(j). Round p to the nearest one million.
-6000000
Let z = -0.6 + 1.5. What is z rounded to the nearest integer?
1
Let d = 0.1 + -1.9. Let j = -4150.777 + 4149. Let u = d - j. What is u rounded to 2 dps?
-0.02
Let r = 1878.13 + -1899. Let v = r - 0.73. Let m = 20 + v. Round m to the nearest integer.
-2
Suppose 5865 + 16135 = 5*q. What is q rounded to the nearest one thousand?
4000
Let i = 10.1 + -10. Let z = -0.100006 + i. What is z rounded to five dps?
-0.00001
Let n = 3.87 - 3.9. Round n to one dp.
0
Suppose -5*i + 2*h = -h - 19, h = -3. Let x be 15799995 + i + -2 + 5. Round x to the nearest one million.
16000000
Let w(x) = -x**3 - 7*x**2 - 7*x - 1. Let u be w(-6). Let v(i) = 8*i + 204083*i**2 + 5 + u + 3*i. Let o be v(-7). What is o rounded to the nearest 1000000?
10000000
Let n = -19 + 19.00000001. Round n to seven decimal places.
0
Suppose -8 - 1 = -3*d - 3*n, 3*d - 4*n - 23 = 0. Let y(k) = 3 - 4*k**2 + 1 + d*k**2 + 181481*k**3. Let b be y(3). Round b to the nearest one million.
5000000
Let w(x) = 3*x - 3. Let a be w(3). Let l = a - 6. Suppose -p = 3*j + 1540015, l*p + 5*j - 4619975 = 3*p. Round p to the nearest one hundred thousand.
-1500000
Let w = -0.149 - -70.149. Let i = -69.918 + w. What is i rounded to two dps?
0.08
Let l be (-59008)/10 - 4/(-5). Round l to the nearest 1000.
-6000
Let h = 45311.19982 + -45312. Let f = h - -0.8. Round f to four dps.
-0.0002
Let a = -4.6 + 4.505. Let p = a - -0.02. Round p to 2 dps.
-0.08
Let c(w) = -14287*w + 9. Let z be c(7). What is z rounded to the nearest ten thousand?
-100000
Let t be (1037860/(-6))/(6/36). Let k = -106825 + t. Let w = -1634685 - k. Round w to the nearest one hundred thousand.
-500000
Let t = -104.99972 - -105. Round t to 3 dps.
0
Let d = -882.31 + 887. Let t = -14.61 - d. Let m = t + 18. Round m to the nearest integer.
-1
Let l = -1.43 + 0.61. What is l rounded to 1 dp?
-0.8
Suppose -7 - 5 = -2*a. Suppose 0 = -2*w + a*w - 16. Suppose s + 258000 = w*s. Round s to the nearest ten thousand.
90000
Suppose 0 = -4*k - 5 - 7. Let t = -6 - k. Let y = 7 + t. What is y rounded to the nearest 10?
0
Let d = 0.0552 - 0.046. Round d to three dps.
0.009
Let p = -8.5 - -6. Let i = p - -2.500017. Round i to five dps.
0.00002
Let v = -11.84 - -5.53. Let b = -0.23 - -0.04. Let j = b + v. What is j rounded to the nearest integer?
-7
Suppose 2*v - 7200000 = -4*v. Suppose h = -5*i + 600000, 2*h + 3*i - 4*i = v. What is h rounded to the nearest one million?
1000000
Let f(j) = j**2 - 8*j + 9. Let z be f(7). Suppose -2*l = z*x + 14, -5*l + 3*x - 2*x = 5. Let s be (0/l)/(2 - 4). Round s to the nearest 100.
0
Let z = 64759.9924 + -64774. Let s = z - -14. What is s rounded to three dps?
-0.008
Let b be 6/(-21) + ((-3186)/21 - 1). Round b to the nearest ten.
-150
Let q = -0.021 + 0.0210051. What is q rounded to 6 decimal places?
0.000005
Let a = 46 + -80. Let x = 34.0000029 + a. Round x to six dps.
0.000003
Let l = -4.009995 - -3.9. Let p = l + 0.11. Round p to 6 decimal places.
0.000005
Suppose -7*c + 484564 = -5*c. Suppose c = 3*q + 1772282. What is q rounded to the nearest 100000?
-500000
Let h be ((-3)/6)/(2/(-16)). Let p be h*(-2)/4 + 100002. Round p to the nearest 100000.
100000
Let a = -4127 + 8008. Let o = 1981 - a. What is o rounded to the nearest 1000?
-2000
Suppose 3*r - 3*w + 14 = -w, 4*r - 3*w = -20. Let z be (-280005 - -4) + (-1 - r). What is z rounded to the nearest 100000?
-300000
Let w = 3229.9 - -888.1. Let y = w + -4118.05551. Let z = y + 0.055. Round z to four decimal places.
-0.0005
Let r be (5611 - 2 - 5) + -4 + 0. What is r rounded to the nearest 1000?
6000
Let t = 44660995 + -44660799.999903. Let o = 195 - t. Round o to five dps.
-0.0001
Let y = -87.0000049 + 87. What is y rounded to 6 decimal places?
-0.000005
Suppose 4*c + 4*b - 420 = 0, -2*c + 5*c + b = 305. What is c rounded to the nearest one hundred?
100
Let s = 4
|
{
"pile_set_name": "DM Mathematics"
}
|
e o(-9).
-1817
Let z(j) = -172*j + 1024. Calculate z(7).
-180
Let p(t) = 123922*t + 2106634. Determine p(-17).
-40
Let p(i) = 27*i - 3537. Calculate p(128).
-81
Let a(g) = 23004*g - 851166. Calculate a(37).
-18
Let q(a) = 1197*a + 8577. Calculate q(-7).
198
Let o(d) = -d**2 - 5600*d - 501254. Give o(-91).
65
Let u(q) = 3*q**3 + 156*q**2 + 115*q - 1972. Give u(-51).
-34
Let x(p) = 5435*p + 135853. Determine x(-25).
-22
Let z(g) = 8016*g - 40049. Calculate z(5).
31
Let j(k) = k**3 - 15*k**2 + 12*k + 414. Give j(10).
34
Let u(t) = -t**2 + 5*t + 753. What is u(-23)?
109
Let w(k) = -4*k**2 + 87*k - 156. Calculate w(22).
-178
Let n(s) = 5*s**3 - 5*s**2 + 37*s + 3. Calculate n(0).
3
Let q(t) = -9*t**3 - 309*t**2 - 320*t + 629. Calculate q(1).
-9
Let o(p) = -13*p**2 - 159*p + 14475. What is o(-40)?
35
Let r(z) = 2*z**3 + 254*z**2 + 774*z + 3720. Calculate r(-124).
0
Let a(s) = 10*s**3 + 8*s**2 + 2*s - 62. Calculate a(-4).
-582
Let n(h) = -7*h**3 - 1147*h**2 + 173*h + 1450. Determine n(-164).
-26
Let d(k) = -34606*k + 5294777. Give d(153).
59
Let y(i) = -3*i**3 - 55*i**2 + 314*i + 3074. Determine y(-21).
8
Let c(f) = -5*f**3 + 41*f**2 - 5*f + 383. Determine c(9).
14
Let p(s) = 26717*s - 3019045. Give p(113).
-24
Let f(o) = o**2 - 42685*o + 213394. What is f(5)?
-6
Let z(o) = -200*o**2 - 471*o + 3221. Determine z(3).
8
Let h(s) = -79*s + 5831. Give h(75).
-94
Let j(d) = d**3 + 1013*d**2 + 16905*d - 466. Determine j(-17).
-7
Let v(c) = c**2 - 2482*c + 7427. What is v(3)?
-10
Let g(u) = -7*u**2 + 2431*u - 14544. Calculate g(6).
-210
Let t(a) = 4*a**2 - 2657*a + 16442. What is t(658)?
-8
Let n(g) = -14733*g + 16324176. Determine n(1108).
12
Let p(b) = b**3 + 8*b**2 - 425*b - 4101. What is p(-19)?
3
Let q(p) = 142*p + 3417. Calculate q(-21).
435
Let k(f) = 760*f**3 + 5*f**2 + 7*f - 2. What is k(-1)?
-764
Let i(m) = 47*m**3 - 28*m**2 + 34*m - 23. Give i(1).
30
Let f(z) = -5151*z + 3770523. Give f(732).
-9
Let g(o) = -792*o**2 - 324*o + 316. Calculate g(1).
-800
Let w(m) = -3*m**2 - 185*m - 747. Determine w(-54).
495
Let v(z) = z**3 - 18*z**2 + 7727*z - 147192. Determine v(19).
-18
Let s(t) = 3*t**2 + 837*t + 2829. Calculate s(-275).
-471
Let u(q) = -2*q**2 - 410*q + 11485. Calculate u(-230).
-15
Let m(f) = -f**2 - 123*f + 12784. Determine m(-197).
-1794
Let q(i) = -288*i + 5979. Calculate q(0).
5979
Let w(z) = z**3 - 83*z**2 - 728*z + 3. What is w(91)?
3
Let s(w) = w**3 + 27*w**2 - 275*w + 168. Calculate s(-35).
-7
Let o(f) = f**3 - 13*f**2 + 309*f - 3130. Give o(9).
-673
Let b(p) = -51435*p - 617077. Calculate b(-12).
143
Let w(n) = 97*n - 5481. What is w(77)?
1988
Let q(o) = -8109*o - 7285. Calculate q(-1).
824
Let y(f) = -4*f**2 - 2*f + 2150. Give y(0).
2150
Let n(t) = -341*t - 5099. What is n(-15)?
16
Let b(j) = j**3 - 30*j**2 - 652*j + 10096. Give b(40).
16
Let g(u) = 6*u**3 + 60*u**2 - 8*u + 145. Give g(-10).
225
Let k(g) = -181*g**2 + 150*g - 99. Determine k(1).
-130
Let n(s) = -1979*s + 9442. Determine n(5).
-453
Let q(y) = 352*y + 68252. What is q(-194)?
-36
Let y(i) = -464*i - 115564. Determine y(-249).
-28
Let g(p) = -3*p**3 - 305*p**2 - 6296*p - 1312. Determine g(-73).
2
Let k(w) = -32409*w - 14259956. Determine k(-440).
4
Let d(k) = 373*k**2 + 2482*k - 12475. What is d(-10)?
5
Let n(r) = 841*r + 38746. Give n(-46).
60
Let o(y) = -10*y**2 - 449*y + 32726. Calculate o(39).
5
Let u(t) = -t**2 - 37538*t + 375481. What is u(10)?
1
Let s(v) = -v**2 + 8115*v + 228011. Determine s(-28).
7
Let c(k) = -k**3 - 379*k**2 + 1566*k + 450687. Calculate c(-380).
7
Let f(s) = 1763*s**2 - 5*s - 11. Determine f(-1).
1757
Let l(u) = -108041*u + 756322. Calculate l(7).
35
Let p(z) = 411*z + 42643. Calculate p(-111).
-2978
Let u(g) = 480*g + 883. Calculate u(-5).
-1517
Let m(z) = -z**3 + 51*z**2 - 565*z - 635. Give m(31).
1070
Let d(c) = 10*c**2 - 707*c + 21. Give d(0).
21
Let u(t) = -t**2 - 52030*t + 312155. Determine u(6).
-61
Let g(j) = -13*j**2 + 180*j + 1075. Give g(21).
-878
Let t(g) = -19*g**3 + 555*g**2 + 455*g - 185. Give t(30).
-35
Let l(v) = 60*v**2 - 120*v - 177. Give l(3).
3
Let s(g) = g**3 + 342*g**2 - 6470*g - 144. Calculate s(18).
36
Let b(d) = -2123*d + 89152. Determine b(42).
-14
Let p(a) = 15568*a + 78665. Calculate p(-5).
825
Let m(z) = z**3 - 39*z**2 - 84*z + 262. Determine m(41).
180
Let r(t) = -12*t**2 - 65*t + 392. Give r(4).
-60
Let f(m) = 92*m**2 + 272*m - 34. Determine f(-3).
-22
Let o(g) = 11266*g - 2061698. Give o(183).
-20
Let i(a) = -42*a**3 + 7393*a**2 - 183*a - 503. What is i(176)?
-1735
Let q(i) = -33253*i + 2926266. Give q(88).
2
Let x(j) = -13*j**2 + 133*j + 1743. What is x(18)?
-75
Let a(l) = 3*l**2 - 5638*l + 177378. Determine a(32).
34
Let w(f) = 455*f + 7390. What is w(-16)?
110
Let g(w) = w**2 + 81*w - 892. Determine g(-102).
1250
Let n(o) = -3*o**3 + 115*o + 353. Calculate n(-4).
85
Let p(b) = 4*b**3 + 2797*b**2 - 16209*b + 4226. Calculate p(-705).
-4
Let y(m) = m**2 - 94*m + 1934. What is y(37)?
-175
Let a(v) = 1630*v - 40753. Calculate a(25).
-3
Let x(l) = -173*l**2 - 4097*l - 24094. What is x(-11)?
40
Let q(v) = -2207*v + 2710. What is q(1)?
503
Let w(g) = -69*g**2 + 22046*g + 44371. What is w(-2)?
3
Let h(q) = 8253*q - 1097676. What is h(133)?
-27
Let z(g) = -794*g - 5166. Determine z(-8).
1186
Let q(t) = -20*t**2 + 2415*t + 116731. Determine q(-37).
-4
Let g(i) = 16055*i + 497672. Give g(-31).
-33
Let b(l) = -131991*l + 10559286. Give b(80).
6
Let m(h) = -404*h + 62123. Give m(154).
-93
Let b(g) = g**2 + 826*g + 35824. Give b(-46).
-56
Let l(a) = -a**2 + 85*a + 1714. Determine l(100).
214
Let s(p) = 6*p**2 - 11677*p - 1331102. Calculate s(-108).
-2
Let j(g) = -5838*g - 41375. What is j(-7)?
-509
Let h(s) = -s**3 + 237*s**2 - 2038*s - 3241. Calculate h(228).
-49
Let t(f) = 76*f**3 + 5*f**2 + 8*f - 40. Give t(2).
604
Let f(s) = -189*s - 66. Determine f(3).
-633
Let v(h) = -30012*h - 960411. Give v(-32).
-27
Let z(m) = 3*m**3 - 45*m**2 - 2658*m + 39891. What is z(15)?
21
Let v(a) = -a**2 + 185394*a - 2966059. Give v(16).
-11
Let y(p) = -p**3 + 94*p**2 - 437*p - 651. Determine y(89).
61
Let k(d) = 4*d**3 + 33*d**2 + 87*d + 426. Determine k(-8).
-206
Let z(n) = -58998*n + 17758396. Give z(301).
-2
Let z(h) = -h**2 - 3530*h - 31876. Give z(-9).
-187
Let s(p) = 13*p**3 - 218*p**2 + 159*p + 20. Give s(16).
4
Let z(y) = 43*y - 7455. Calculate z(181).
328
Let q(y) = y**3 - 422*y**2 - 13561*y + 437. Determine q(452).
-15
Let w(c) = c**3 - 79*c**2 + 1126*c - 6. What is w(17)?
1218
Let r(n) = -6*n**3 + 71*n**2 + 78*n - 787. Give r(12).
5
Let k(s) = -5*s**3 - 258*s**2 - 3092*s + 90. What is k(-19)?
-5
Let l(i) = 254*i**2 - 2011*i - 142. Give l(8).
26
Let g(q) = -61*q**2 - 89*q - 65. What is g(4)?
-1397
Let d(y) = -84*y**2 + 6299*y + 30. Determine d(75).
-45
Let u(i) = -15*i**2 + 651*i - 86. What is u(43)?
172
Let j(v) = v**3 + 3*v**2 - 68*v - 119. What is j(8)?
41
Let u(g) = 25*g**2 - 1611*g + 270. Give u(64).
-434
Let k(u) = -158*u - 34463. What is k(-217)?
-177
Let c(o) = o**3 + 11*o**2 - 326*o - 3777. Give c(-11).
-191
Let y(w) = 2150*w**2 - 230052*w + 222. Determine y(107).
8
Let r(p) = -2*p**2 - 1409*p - 8440. Determine r(-6).
-58
Let c(l) = l**2 - 1326*l - 10714. Determine c(-8).
-42
Let p(f) = f**2 - 256*f + 16418. Determine p(97).
995
Let g(l) = -30*l**2 + 57*l - 104. Calculate g(2).
-110
Let y(h) = 2*h**3 - 382*h**2 + 2242*h - 4000. Determine y(185).
70
Let r(z) = 6208*z - 92616. Give r(15).
504
Let s(x) = -5*x**3 - 47*x**2 + 150*x - 11. Determine s(-12).
61
Let l(y) = 3*y**3 - 24*y**2 - 4056*y + 98. Give l(-33).
-1
Let l(b) = 1810*b**2 + 36189*b - 17. Give l(-20).
203
Let x(h) = 74745*h - 1569684. Give x(21).
-39
Let z(w) = 57*w + 578. Calculate z(-33).
-1303
Let t(z) = -77540*z - 620316. Give t(-8).
4
Let s(d) = -2*d**3 + 27*d**2 + 106*d - 411. Determine s(16).
5
Let s(w) = -42198*w + 168901. Determine s(4).
109
Let b(s) = -s**3 + 35*s**2 + 1070*s - 2297. Calculate b(54).
79
Let k(i) = i**3 + 33*i**2 - 2165*i - 402. What is k(33)?
27
Let b(o) = -10524*o + 915580. What is b(87)?
-8
Let x(d) = -3*d**2 - 1178*d - 22719. Give x(-20).
-359
Let s(d) = 3762*d - 752400. Give s(200).
0
Let k(v) = 28*v - 1290. Give k(-6).
-1458
Let t(l) = 20*l**3 + 204*l**2 - 461*l - 20. What is t(2)?
34
Let i(o) = 1437506*o + 2875015. What is i(
|
{
"pile_set_name": "DM Mathematics"
}
|
mmon multiple of 4902 and 745792?
42510144
What is the common denominator of -113/7922772 and 85/48?
31691088
Find the common denominator of -52/5243463 and -22/51.
5243463
What is the lowest common multiple of 553445641 and 4?
2213782564
Calculate the least common multiple of 13321458 and 15541701.
93250206
Calculate the least common multiple of 737286 and 28419.
6984310278
Calculate the least common multiple of 1538 and 6562.
5046178
Calculate the common denominator of -57/16744405 and 55/10046643.
50233215
What is the lowest common multiple of 2670 and 7790170?
23370510
What is the smallest common multiple of 39030085 and 15612034?
78060170
What is the lowest common multiple of 116418 and 2166?
42026898
Find the common denominator of -49/246 and 31/198522.
198522
What is the lowest common multiple of 1857212 and 237388?
31572604
What is the smallest common multiple of 7826058 and 48?
62608464
What is the common denominator of -55/5766 and 67/94242?
90566562
Calculate the common denominator of 137/18552 and 69/30920.
92760
Calculate the least common multiple of 196 and 2356128.
115450272
Find the common denominator of -1/86890 and -113/168.
7298760
Calculate the least common multiple of 55 and 2107370.
23181070
Calculate the common denominator of -21/4648768 and 53/206442.
125516736
What is the least common multiple of 162325 and 13035?
423181275
What is the lowest common multiple of 850 and 3341100?
56798700
Calculate the smallest common multiple of 3456 and 294390.
56522880
Calculate the least common multiple of 3158080 and 333600.
47371200
What is the least common multiple of 15294 and 104073?
530564154
Calculate the least common multiple of 686880 and 292560.
15798240
Calculate the common denominator of -143/3012 and -52/32433.
32562732
Calculate the common denominator of 79/1792 and 87/3495040.
48930560
Find the common denominator of -65/1168 and 51/173302.
1386416
Find the common denominator of 35/389 and -49/2069930.
805202770
What is the common denominator of -79/11975568 and 71/10?
59877840
Calculate the common denominator of 83/177562770 and -9/1580.
355125540
Calculate the common denominator of 187/299730 and -67/1242.
62044110
Calculate the smallest common multiple of 1984512 and 330752.
1984512
What is the common denominator of -87/2336180 and 23/1804?
2336180
What is the least common multiple of 6813492 and 548212?
47694444
Calculate the common denominator of -181/11641560 and 149/4116.
570436440
What is the least common multiple of 2463 and 1644463?
4933389
Find the common denominator of -25/5859 and -139/35154.
35154
Find the common denominator of -83/771880 and 7/23368.
98028760
Calculate the smallest common multiple of 50520 and 24375900.
48751800
Calculate the lowest common multiple of 37356243 and 90.
1120687290
Calculate the lowest common multiple of 92326 and 69536.
60565856
Calculate the common denominator of -16/1778165 and -73/320.
113802560
Calculate the common denominator of 9/7816 and 43/24821662.
99286648
What is the least common multiple of 2542815 and 1248291?
68656005
Calculate the smallest common multiple of 2696982 and 84.
37757748
Find the common denominator of -111/45560 and -86/145205415.
1161643320
What is the lowest common multiple of 32208 and 1773024?
108154464
What is the common denominator of -83/4080 and -139/1165840?
59457840
Find the common denominator of 107/11264 and -89/4608.
101376
Calculate the least common multiple of 30167774 and 5838924.
181006644
What is the common denominator of -79/73185 and -19/15334?
1610070
What is the least common multiple of 94627780 and 36?
851650020
Calculate the least common multiple of 3495936 and 4806912.
38455296
Calculate the smallest common multiple of 3830915 and 22.
7661830
Calculate the smallest common multiple of 2907150 and 420.
40700100
What is the common denominator of 38/1965 and -51/196625?
77273625
Calculate the common denominator of -31/1256950 and -119/260.
32680700
What is the common denominator of 46/104945115 and 38/1815?
104945115
What is the common denominator of -57/10003220 and -65/37748?
10003220
Calculate the lowest common multiple of 833468 and 416734.
833468
What is the smallest common multiple of 328 and 8407262?
1378790968
Calculate the least common multiple of 15741 and 3753.
2187999
What is the common denominator of -155/49029246 and -65/3112968?
196116984
What is the lowest common multiple of 2238 and 6279?
4684134
What is the least common multiple of 18962 and 11882687?
451542106
What is the common denominator of 19/10344 and 103/709392?
305747952
What is the common denominator of 51/26 and -22/1710189?
3420378
Find the common denominator of -74/533435 and -43/533435.
533435
Calculate the smallest common multiple of 175952 and 182.
2287376
Find the common denominator of 149/49705140 and 49/1010952.
298230840
What is the lowest common multiple of 7382370 and 11811792?
59058960
Calculate the smallest common multiple of 297315 and 16748745.
50246235
Calculate the least common multiple of 299110 and 1834.
39183410
What is the common denominator of 29/189096 and 119/1890960?
1890960
What is the least common multiple of 357 and 88906685?
266720055
Find the common denominator of 86/945 and -36/2285.
431865
Calculate the common denominator of -1/37650 and 41/18300.
4593300
What is the smallest common multiple of 17308 and 22712?
98274824
What is the least common multiple of 150 and 4442115?
44421150
Calculate the common denominator of -17/1181016 and -169/93497100.
560982600
What is the common denominator of -121/6954150 and 121/198690?
6954150
What is the smallest common multiple of 2920512 and 1216880?
14602560
What is the lowest common multiple of 19503 and 14951709?
164468799
What is the smallest common multiple of 1 and 10258179?
10258179
Calculate the smallest common multiple of 266798 and 31748962.
31748962
Calculate the common denominator of 109/504 and -79/6293392.
56640528
What is the lowest common multiple of 2478 and 63112?
11170824
What is the lowest common multiple of 26266857 and 6?
52533714
Calculate the common denominator of 83/5162052 and 137/12905130.
25810260
Calculate the common denominator of -11/23274 and -83/178434.
535302
Calculate the lowest common multiple of 18 and 218670592.
1968035328
Find the common denominator of -139/124038 and -25/24126.
498756798
Calculate the lowest common multiple of 3203783 and 3203783.
3203783
Calculate the smallest common multiple of 65154488 and 88.
716699368
What is the common denominator of 181/197064 and -47/19596?
13991544
Calculate the common denominator of 34/70812007 and 74/35.
354060035
Calculate the least common multiple of 405178 and 8698.
1762119122
Find the common denominator of -79/403056 and 137/10193958.
244654992
What is the least common multiple of 108 and 29091474?
58182948
Calculate the common denominator of -59/31525 and -99/595192.
14879800
What is the common denominator of 9/374330 and -65/39606?
180801390
What is the common denominator of -1/1772320 and 53/2530?
40763360
Find the common denominator of 69/14455024 and 107/1068.
43365072
Calculate the smallest common multiple of 20 and 9190424.
45952120
Calculate the least common multiple of 834678 and 2194140.
809637660
Calculate the common denominator of 103/7357020 and 107/426.
7357020
Calculate the least common multiple of 407232 and 224.
407232
Calculate the common denominator of -1/813 and -13/15901196.
47703588
Find the common denominator of -70/20520993 and 46/184688937.
184688937
Calculate the smallest common multiple of 61177641 and 2334.
122355282
Find the common denominator of -81/40 and -33/226808.
1134040
Find the common denominator of 65/393524736 and -95/4.
393524736
What is the smallest common multiple of 83846540 and 160?
670772320
Calculate the common denominator of -143/2844 and -95/5328708.
15986124
Calculate the common denominator of -49/348820 and -17/886.
154527260
What is the least common multiple of 20 and 25330010?
50660020
Calculate the smallest common multiple of 17964 and 3154678.
56784204
What is the least common multiple of 26887 and 26491377?
185439639
What is the lowest common multiple of 47201 and 210?
1416030
Find the common denominator of 163/4524 and 47/597350.
1039
|
{
"pile_set_name": "DM Mathematics"
}
|
**2 + 2*k + 1. What is q(-3)?
-50
Let w(q) = -11*q - 41. Give w(-6).
25
Let y(t) = t**2 + t - 13. Determine y(-8).
43
Let i(q) = q**3 + 10*q**2 + 10*q - 16. Give i(-9).
-25
Let i(m) = -2*m**3 - 14*m**2 - 3*m + 1. What is i(-7)?
22
Let v(p) = -p**3 - 8*p**2 - 3*p + 30. Give v(-7).
2
Let h(d) = -d - 6. Give h(-9).
3
Let a(u) = u**3 + 15*u**2 - 14*u + 32. Determine a(-16).
0
Let n(v) = v**2 - 8*v - 35. Determine n(-4).
13
Let r(s) = 3*s - 3. Give r(4).
9
Let h(m) = -m**2 - 10*m + 10. Give h(-12).
-14
Let z(b) = -4*b**2 + 146*b - 81. Determine z(36).
-9
Let w(s) = -s**2 - 18*s - 14. Calculate w(-12).
58
Let x(w) = 6*w + 35. What is x(-7)?
-7
Let r(q) = -q**2 + q - 5. Determine r(0).
-5
Let s(r) = -r**3 + 9*r**2 + 4*r - 6. Calculate s(9).
30
Let y(j) = j**2 - 12*j - 32. Determine y(14).
-4
Let l(j) = -j**2 - 9*j - 8. Calculate l(-6).
10
Let m(i) = i**2 - 14*i - 33. What is m(-4)?
39
Let d(k) = -k**3 - 12*k**2 - 4*k. What is d(-11)?
-77
Let m(f) = f**3 - 4*f**2 + 6*f - 7. Determine m(3).
2
Let h(s) = -s**3 - 20*s**2 + 20*s - 10. Give h(-21).
11
Let f(j) = j**3 - 28*j**2 - 167*j + 68. Calculate f(33).
2
Let v(f) = -f**3 + 9*f**2 - 18*f - 9. Calculate v(5).
1
Let p(w) = w**2 - 27*w + 69. Determine p(3).
-3
Let h(k) = 12*k - 83. Give h(8).
13
Let i(d) = -d**3 + 61*d**2 + 5*d - 331. Give i(61).
-26
Let o(z) = 18*z**3. Calculate o(1).
18
Let o(q) = q**3 - 14*q**2 + 9. Determine o(14).
9
Let x(g) = -6*g**2 - 2*g + 3. Determine x(2).
-25
Let h(v) = -v**2 - 10*v + 19. What is h(-11)?
8
Let r(a) = -24*a - 14. Determine r(-4).
82
Let o(g) = -g**2 - 39*g - 106. Determine o(-36).
2
Let g(u) = -u**2 - 23*u - 5. Give g(-23).
-5
Let n(i) = i**3 - 2*i + 2. Give n(-2).
-2
Let d(i) = -7*i - 668. Calculate d(-96).
4
Let h(m) = m**3 + 21*m**2 + m - 19. Determine h(-21).
-40
Let v(z) = z**3 + 2*z**2 - 15*z + 3. Calculate v(3).
3
Let z(b) = 15*b - 204. What is z(14)?
6
Let v(t) = -2*t - 1. Give v(-4).
7
Let g(z) = 27*z - 3. Give g(-2).
-57
Let d(g) = g - 46. Calculate d(48).
2
Let r(v) = -v - 45. Give r(5).
-50
Let b(z) = 14*z - 22. Give b(3).
20
Let a(o) = 6*o + 15. Calculate a(3).
33
Let n(d) = -16*d**2 - d. What is n(1)?
-17
Let s(t) = -t**2 + 7*t + 11. Calculate s(6).
17
Let n(v) = -v**3 - 14*v**2 - 4*v - 4. Calculate n(-14).
52
Let p(g) = 2*g**3 - 13*g**2 - 13*g + 32. Give p(7).
-10
Let t(s) = -s**3 - 9*s**2 - 2*s - 3. Determine t(-8).
-51
Let u(b) = -b + 43. Determine u(13).
30
Let a(i) = -i**2 + 10*i - 15. Give a(6).
9
Let p(b) = b**2 - 7*b - 13. What is p(-7)?
85
Let z(u) = -3*u - 7. Give z(12).
-43
Let o(b) = -b**2 + b + 13. Give o(-3).
1
Let x(k) = k**2 - 10*k + 8. What is x(4)?
-16
Let f(q) = q**3 + q**2 - 6*q - 1. Give f(-3).
-1
Let j(u) = -u**3 - 30*u**2 - 81*u - 9. Calculate j(-27).
-9
Let y(i) = 5*i + 3. Determine y(-4).
-17
Let f(w) = 3*w + 1. Give f(-2).
-5
Let a(l) = -l**3 - 3*l**2 - 7*l - 11. Determine a(-4).
33
Let i(f) = f**3 + 14*f**2 - 16*f. Calculate i(-15).
15
Let a(u) = u**3 + 15*u**2 - 2*u - 27. What is a(-15)?
3
Let j(c) = 10*c**2 + 4*c - 1. Determine j(-5).
229
Let u(v) = -v**2 - 17*v - 67. Calculate u(-11).
-1
Let j(p) = -8*p + 106. Give j(18).
-38
Let i(a) = -a**3 + 9*a**2 - 4*a + 6. Determine i(9).
-30
Let f(p) = -p**2 + 1. Give f(-7).
-48
Let m(t) = t**3 - 41*t**2 - 44*t + 85. Give m(42).
1
Let z(p) = 3*p - 1. What is z(3)?
8
Let d(o) = 7*o + 10. Determine d(-8).
-46
Let m(p) = -p**2 - 17*p + 4. Give m(-18).
-14
Let t(n) = 42*n + 1379. What is t(-33)?
-7
Let v(m) = 9*m - 7. Calculate v(4).
29
Let g(x) = -x - 5. What is g(0)?
-5
Let p(l) = -12*l - 8. Calculate p(3).
-44
Let r(t) = t**2 - 19*t + 34. What is r(17)?
0
Let o(h) = 6*h + 3. Determine o(1).
9
Let m(b) = -b**3 + 46*b**2 + 5*b - 232. What is m(46)?
-2
Let k(f) = -12*f - 124. Give k(-11).
8
Let r(v) = 7*v. Give r(-4).
-28
Let p(v) = -v**3 + 2*v**2 + 5*v - 6. What is p(4)?
-18
Let x(j) = 2*j**2 + 2*j + 4. Determine x(0).
4
Let m(h) = 11*h**3 + 2*h**2 - 2*h - 1. Determine m(1).
10
Let k(g) = -27*g**2 - g - 1. Calculate k(1).
-29
Let m(h) = h**2 + 19*h + 42. Calculate m(-17).
8
Let h(z) = 5*z - 1. What is h(-9)?
-46
Let k(w) = 89*w + 1598. Determine k(-18).
-4
Let g(n) = n**2 - 9*n + 19. Give g(14).
89
Let l(m) = 2*m**3 + 2*m**2 + 2*m + 3. What is l(-2)?
-9
Let s(l) = -l**2 - l + 3. Give s(0).
3
Let x(a) = 9*a + 22. What is x(4)?
58
Let r(f) = -4*f**2 + 6*f + 5. Calculate r(4).
-35
Let h(j) = -j**3 + 5*j**2 + 12*j + 14. What is h(7)?
0
Let x(v) = 48*v**3 + v**2 - v + 1. What is x(1)?
49
Let g(t) = -11*t + 200. What is g(18)?
2
Let q(h) = h**3 - 5*h**2 + h + 3. Calculate q(2).
-7
Let k(o) = -o**3 - 2*o**2 - 2*o - 3. What is k(0)?
-3
Let m(u) = u**3 + 8*u**2 + 6*u + 2. What is m(-7)?
9
Let z(b) = -b**2 + 5*b + 10. Determine z(6).
4
Let d(j) = j**3 - 5*j**2 - 10*j - 5. Calculate d(6).
-29
Let o(n) = -11*n - 9. Determine o(-5).
46
Let p(o) = 8*o - 19. Determine p(-9).
-91
Let j(n) = 2*n - 13. Determine j(6).
-1
Let w(n) = n**2 + 4. Calculate w(0).
4
Let h(x) = -11*x + 6. What is h(4)?
-38
Let x(u) = u**2 - 17*u + 50. Give x(13).
-2
Let v(b) = b + 52. Give v(0).
52
Let q(f) = 3*f + 12. Give q(2).
18
Let x(o) = -7*o + 33. Give x(5).
-2
Let s(i) = i**3 - 5*i**2 - 15*i + 13. Calculate s(7).
6
Let c(u) = u**2 - 18*u + 5. Give c(7).
-72
Let d(p) = 7*p + 46. Determine d(-10).
-24
Let l(s) = -2*s + 4. Determine l(-2).
8
Let s(j) = -16*j - 117. Calculate s(-6).
-21
Let l(u) = -u**2 + 12*u - 31. Give l(8).
1
Let w(r) = -2*r**2 - 29*r + 4. What is w(-15)?
-11
Let z(j) = 4*j - 9. Calculate z(6).
15
Let t(v) = 5*v + 139. Determine t(-29).
-6
Let n(s) = 2*s**2 + 2*s + 8. Calculate n(-4).
32
Let u(l) = -l**2 + 2. What is u(6)?
-34
Let i(w) = w**3 + 15*w**2 + 42*w - 20. What is i(-11)?
2
Let y(w) = -w**2 + 8*w - 15. Give y(11).
-48
Let n(a) = -a**3 + 2*a**2 - 1. Determine n(1).
0
Let n(r) = -18*r**3 - r + 2. Give n(2).
-144
Let i(z) = -z**2 - 17*z + 108. Calculate i(5).
-2
Let t(v) = -30*v**3 + v**2 - 2. Calculate t(1).
-31
Let m(z) = 21*z + 2. What is m(0)?
2
Let x(f) = f**2 - 24*f - 6. Give x(24).
-6
Let g(z) = -z**3 + 6*z**2 + 3*z - 4. Calculate g(5).
36
Let k(o) = -o**3 - 5*o**2 - 5*o - 1. Give k(-4).
3
Let q(t) = -2*t + 16. Calculate q(6).
4
Let u(y) = 2*y - 5. Determine u(9).
13
Let c(q) = q - 40. Give c(17).
-23
Let c(h) = -3*h**2 - 8*h. Give c(-7).
-91
Let p(r) = r + 4. Determine p(5).
9
Let g(r) = -4*r - 12. Give g(-7).
16
Let w(k) = k**3 + 6*k**2 - 10*k + 6. Determine w(-8).
-42
Let m(l) = 5*l + 58. Calculate m(-27).
-77
Let o(f) = -f**3 - 32*f**2 - 30*f + 40. Give o(-31).
9
Let o(u) = -u**2 + 46*u - 48. Determine o(45).
-3
Let x(p) = -p**3 - 7*p**2 + 6*p - 7. Determine x(-8).
9
Let x(n) = -n**2 + 11*n + 32. Give x(13).
6
Let v(k) = -53*k**3 + 2*k**2 + 3*k. Determine v(-1).
52
Let q(c) = 14*c**3 + 3*c**2 - 4*c - 5. Determine q(-1).
-12
Let s(k) = 5*k - 4. Give s(-1).
-9
Let h(z) = z**3 - 5*z**2 + 11*z - 3. What is h(3)?
12
Let k(y) = y**3 - 4*y**2 + y - 3. What is k(3)?
-9
Let u(o) = -7*o - 12. What is u(9)?
-75
Let k(q) = q**3 - 14*q**2 - 19*q + 20. Determine k(15).
-40
Let f(h) = -h**3 - 4*h**2 + 6*h + 20. Determine f(-6).
56
Let d(r) = r**2 - 12*r + 13. What is d(8)?
-19
Let a(y) = y**3 - 5*y**2 + y - 6. Determine a(5).
-1
Let m(b) = -13*b**2 - 236*b - 24. Calculate m(-18).
12
Let i(w) = w**2 - 10*w - 5. Give i(8).
-21
Let h(k) = 70*k**3 - k**2 + 3*k + 2. Give h(-1).
-72
Let y(w) = 2*w**3 + 18*w**2 + 6*w + 10. Determine y(-9).
-44
Let o(w) = w**3 - 11*w**2 + 10*w + 14. Give o(9).
-58
Let k(t) = -t**3 + 8*t - 4. Determine k(-3).
-1
Let o(s) = 12*s - 7. Give o(-5).
-67
Let p(d) = -14*d - 1. Determine p(1).
-15
Let q(v) = -2*v**3 - 7*v**2 - 4*v - 6. Calculate q(-3).
-3
Let a(l) = 13*l + 4. What is a(2)?
30
Let q(t) = -t**3 - 4*t**2 - 2*t - 5. What is q(-4)?
3
Let x(q) = 2*q**2 + 23*q - 17. What is x(-12)?
-5
Let b(u) = u**2 + 18*u - 19. Calculate b(-19).
0
Let o(b) = -9*b**2 - 52*b + 12. Give o(-6).
0
Let k(y) = y**2 - 11. Calculate k(0).
-11
Let i(p) = -2*p**2 + 26*p - 22. What is i(11)?
22
Let c(p) = p**2 + 7*p - 9. Determine c(-6).
-15
Let o(h) = h**3 + 3*h**2 - 3. Determine o(2).
17
Let g(h) = h**3 + 6*h**2 - 7*h - 15. Determine g(-6).
27
Let g(f) = f**2 - 4*f - 44. Determine g(9).
1
Let d(f) = 2*f**2 - 9*f - 61. Determine d(8).
-5
Let l(z) = z**3 + 4*z**2 - 13*z - 46. Give l(-4).
6
Let
|
{
"pile_set_name": "DM Mathematics"
}
|
56
Put 0, -13, 9 in increasing order.
-13, 0, 9
Sort 2122, 1, -5 in descending order.
2122, 1, -5
Put 5, -1, 2/3, -3, 2/5 in increasing order.
-3, -1, 2/5, 2/3, 5
Sort 15, 0, 0.4, 4.
0, 0.4, 4, 15
Sort -11, -1, -5.
-11, -5, -1
Put -4, -525, 1 in descending order.
1, -4, -525
Put -8, -2/15, 0.2, -0.1 in decreasing order.
0.2, -0.1, -2/15, -8
Put 1, 0.04, 2/5, 6 in ascending order.
0.04, 2/5, 1, 6
Sort 22, 0, 0.06 in descending order.
22, 0.06, 0
Sort 7, 1, -20, -2.
-20, -2, 1, 7
Put 6, -5, 35, 1, -3 in ascending order.
-5, -3, 1, 6, 35
Put 1/134, 0, 5 in descending order.
5, 1/134, 0
Sort -11, -0.29, -5/2 in descending order.
-0.29, -5/2, -11
Put 0.1, 2/5, 9, -4 in descending order.
9, 2/5, 0.1, -4
Put 0.1, 59, 2, 3/4 in descending order.
59, 2, 3/4, 0.1
Sort -3, 3, 11, -5 in descending order.
11, 3, -3, -5
Put 12, -69, 3 in decreasing order.
12, 3, -69
Sort 1, -2, 147, 5, -5 in increasing order.
-5, -2, 1, 5, 147
Sort -7, 4, 1 in descending order.
4, 1, -7
Sort -0.4, -1/3, -5, 6/7 in descending order.
6/7, -1/3, -0.4, -5
Put 113, -0.3, 0.4 in decreasing order.
113, 0.4, -0.3
Sort 3, -0.1, 0.5, -8.
-8, -0.1, 0.5, 3
Put -5, -35, -4, 0 in increasing order.
-35, -5, -4, 0
Put -1, -7, 307, -3, 2 in increasing order.
-7, -3, -1, 2, 307
Sort 0, 1/10, -0.9, 3/4 in descending order.
3/4, 1/10, 0, -0.9
Put 1, -4, -314 in decreasing order.
1, -4, -314
Sort 3, 129, -7 in ascending order.
-7, 3, 129
Sort -64, -9, -1, 3.
-64, -9, -1, 3
Put 4, 3, -1, -16, 0 in decreasing order.
4, 3, 0, -1, -16
Put -2, 6965, -1 in decreasing order.
6965, -1, -2
Put 18, 0, -11, 3 in decreasing order.
18, 3, 0, -11
Sort -9, -2, 2, -1 in descending order.
2, -1, -2, -9
Put 2, 3, -5, 1, -3 in ascending order.
-5, -3, 1, 2, 3
Put 3/5, -1/5, -2/9, 6/19 in ascending order.
-2/9, -1/5, 6/19, 3/5
Sort -2/11, -8, 18, 4 in ascending order.
-8, -2/11, 4, 18
Sort 2, 4, -4, -59 in decreasing order.
4, 2, -4, -59
Sort -1/3, 1, 41, -0.4, 1/3.
-0.4, -1/3, 1/3, 1, 41
Put -5, 16, -0.4, 13 in ascending order.
-5, -0.4, 13, 16
Put 11, 5, -3 in increasing order.
-3, 5, 11
Sort 13, -5/3, -1, 0.3 in ascending order.
-5/3, -1, 0.3, 13
Sort 3, 76, 0, 1 in descending order.
76, 3, 1, 0
Put -2, -5680, 3 in descending order.
3, -2, -5680
Put 0.4, 2, 0.5, 1.5, 2/29 in decreasing order.
2, 1.5, 0.5, 0.4, 2/29
Sort -12, -3, 23 in ascending order.
-12, -3, 23
Sort 0, 2/9, 6/31.
0, 6/31, 2/9
Sort -5, 0, -27 in descending order.
0, -5, -27
Sort -3, 12, 5, -2 in decreasing order.
12, 5, -2, -3
Sort 26, -11, -4, 3, 5 in ascending order.
-11, -4, 3, 5, 26
Sort -121, -2, 1, 19.
-121, -2, 1, 19
Put -13, -4, 14, 0 in descending order.
14, 0, -4, -13
Sort -86, 1, 5, -9 in ascending order.
-86, -9, 1, 5
Sort -26, 5, 2, -2 in decreasing order.
5, 2, -2, -26
Sort 7, 4, 3 in ascending order.
3, 4, 7
Put -3, 2, -3163 in decreasing order.
2, -3, -3163
Sort -3, -1, 11.
-3, -1, 11
Sort -1, -1/5, -0.1, -5 in ascending order.
-5, -1, -1/5, -0.1
Put 3, -1, 1, 5 in increasing order.
-1, 1, 3, 5
Sort 5, -5, 3, 31 in decreasing order.
31, 5, 3, -5
Put -3, -5, 1, -91 in increasing order.
-91, -5, -3, 1
Sort -0.5, 0, 0.1, 2.
-0.5, 0, 0.1, 2
Sort 2, 16, 92 in descending order.
92, 16, 2
Put -473, -3, -2, 2 in descending order.
2, -2, -3, -473
Sort 1, 44, 17, -1/4.
-1/4, 1, 17, 44
Sort -1/2, 8, -0.2, -2, 3 in descending order.
8, 3, -0.2, -1/2, -2
Sort 13, -2, -9/2 in decreasing order.
13, -2, -9/2
Put 2, 6, 5 in decreasing order.
6, 5, 2
Put 12, 9, 3, -2 in ascending order.
-2, 3, 9, 12
Put 4, -3, -6, 2, -5 in ascending order.
-6, -5, -3, 2, 4
Sort 2/3, -0.4, 1/4, 1/2, 0.4 in descending order.
2/3, 1/2, 0.4, 1/4, -0.4
Put 2, 1/8, -0.3 in increasing order.
-0.3, 1/8, 2
Put 1, -1, 7, -33 in descending order.
7, 1, -1, -33
Put -3, 4, -2 in increasing order.
-3, -2, 4
Sort -0.3, -7, 2/7, 1, -0.04 in increasing order.
-7, -0.3, -0.04, 2/7, 1
Sort 1, 0, 4, 13, -3 in decreasing order.
13, 4, 1, 0, -3
Sort -0.05, -2, 4/3 in ascending order.
-2, -0.05, 4/3
Put 9/13, -1/3, 3, -5 in decreasing order.
3, 9/13, -1/3, -5
Sort 3/7, 130, 4/7.
3/7, 4/7, 130
Sort -4, 4, 8, 1.
-4, 1, 4, 8
Sort -0.3, -4, 4, 0.1 in decreasing order.
4, 0.1, -0.3, -4
Sort -15, -2, -4 in decreasing order.
-2, -4, -15
Put -1, -0.3, 7 in ascending order.
-1, -0.3, 7
Sort 7, -2, 0, 1 in decreasing order.
7, 1, 0, -2
Sort -3, 16, -2.
-3, -2, 16
Sort -19, 1, 4, -5, -2.
-19, -5, -2, 1, 4
Sort -6, -1, -2, -13 in decreasing order.
-1, -2, -6, -13
Put 922, 3, -2, -4, -5 in ascending order.
-5, -4, -2, 3, 922
Sort 4, -2, 18, -1, 1 in increasing order.
-2, -1, 1, 4, 18
Sort -6, -5, 3, -2, -42 in descending order.
3, -2, -5, -6, -42
Sort -3, 1, -34, -4 in descending order.
1, -3, -4, -34
Sort -45, 24, 2, -2 in decreasing order.
24, 2, -2, -45
Sort 2, 1, -18, -4.
-18, -4, 1, 2
Sort -4, -29, 13.
-29, -4, 13
Sort -4/7, 1/3, 2/9, 8.1 in increasing order.
-4/7, 2/9, 1/3, 8.1
Sort 0, -6, -4.
-6, -4, 0
Put 6, 0, 89, 2 in increasing order.
0, 2, 6, 89
Put 0.16, -2, 2 in decreasing order.
2, 0.16, -2
Put -0.2, 0.3, 2/3, 36, 1 in descending order.
36, 1, 2/3, 0.3, -0.2
Put -5, 4, 12, 5 in descending order.
12, 5, 4, -5
Sort -2, -22, 2, -1.
-22, -2, -1, 2
Sort -3, 0, 4, 10, -4 in ascending order.
-4, -3, 0, 4, 10
Put -38, -6, 0 in descending order.
0, -6, -38
Sort 1, -5, -4, -360 in decreasing order.
1, -4, -5, -360
Sort -3, 28, -2, 4 in descending order.
28, 4, -2, -3
Put 5, -9, 119 in ascending order.
-9, 5, 119
Sort 3, 0, -4, 9, -5 in decreasing order.
9, 3, 0, -4, -5
Sort 9, 5, -6, -1 in decreasing order.
9, 5, -1, -6
Put -1, -4, 2, 121 in increasing order.
-4, -1, 2, 121
Put 2, 64, 0 in ascending order.
0, 2, 64
Sort 1/4, -4, 1, -2, 3/7 in decreasing order.
1, 3/7, 1/4, -2, -4
Put 517, -2, 0.1 in descending order.
517, 0.1, -2
Sort -6, 2, 0.01, 0 in decreasing order.
2, 0.01, 0, -6
Sort -1, -5, 3, -9 in decreasing order.
3, -1, -5, -9
Put -16, 12, -1 in descending order.
12, -1, -16
Sort 3, -486, 14, -5 in descending order.
14, 3, -5, -486
Put -0.4, 44/15, 3, 2/19, 0.5 in descending order.
3, 44/15, 0.5, 2/19, -0.4
Sort -3, -1, -11, 6, -4 in descending order.
6, -1, -3, -4, -11
Put 5, 2155, 2 in ascending order.
2, 5, 2155
Sort -1055, -3, 4 in decreasing order.
4, -3, -1055
Put 5, -412, 4 in decreasing order.
5, 4, -412
Sort -3/34, 0.3, -4, 1 in descending order.
1, 0.3, -3/34, -4
Sort -4, 1, 9, 4 in decreasing order.
9, 4, 1, -4
Sort 49, -0.03, 2/11, -1.1 in increasing order.
-1.1, -0.03, 2/11, 49
Put -3/2, 2, 1202 in increasing order.
-3/2, 2, 1202
Sort 2, -11, -4 in descending order.
2, -4, -11
Sort -2/9, -6/11, -2/15, 35 in descending order.
35, -2/15, -2/9, -6/11
Put -1, 4, -323, 3 in increasing order.
-323, -1, 3, 4
Sort -0.3, 0, -0.04, 6/7.
-0.3, -0.04, 0, 6/7
Put 2/9, 34, -4/7 in increasing order.
-4/7, 2/9, 34
Put 6, -6/11, 3/4 in decreasing order.
6, 3/4, -6/11
Sort 1, -350, -2, 4.
-350, -2, 1, 4
Sort -3, 7/3, 1, 0.02, 2/15 in descending order.
7/3, 1, 2/15, 0.02, -3
Put -5, 60, -4, -4/3 in decreasing order.
60, -4/3, -4, -5
Put 38, -83, 2 in ascending order.
-83, 2, 38
Sort -2/5, 5, -4.95, 0.3, -2/19 in increasing order.
-4.95, -2/5, -2/19, 0.3, 5
Sort -3, 1, -1, 10.
-3, -1, 1, 10
Sort -6, -1/3, -0.1 in descending order.
-0.1, -1/3, -6
Put -4/3, 0.19, -29 in decreasing order.
0.19, -4/3, -29
Sort 206, 2, 3 in ascending order.
2, 3, 206
Sort -208, 1/5, 1.4 in decreasing order.
1.4, 1/5, -208
Sort -18, -9, 3, -5, -2.
-18, -9, -5, -2, 3
Put -3, 2, 1, 3, -0.3 in descending order.
3, 2, 1, -0.3, -3
Sort -3, -18, -0.5, -8, 2 in increasing order.
-18, -8, -3, -0.5, 2
Sort -2/11, -0.05, 37, 0.3 in decreasing order.
37, 0.3, -0.05, -2/11
Sort -1, 4, 7, 1.
-1, 1, 4, 7
Put -5, 2, 501, 1, 4 in descending order.
501, 4, 2, 1, -5
Sort -19, 12, -1, -4, -2 in decreasing order.
12, -1, -2, -4, -19
Put 2/9, -1, 3, -3 in descending order.
3, 2/9, -1, -3
Sort -0.1, -1/4, -0.4, 0.15.
-0.4, -1/4, -0.1, 0.15
Put -4, 3, -1, -5 in decreasing order.
3, -1, -4, -5
Put -1, 1/3, -4, 3, -0.025 in ascending order.
-4, -1, -0.025, 1/3, 3
Sort 1, 14, -2 in decreasing order.
14, 1, -2
Put 0, -53, -2, 12, -5 in decreasing order.
12, 0, -2, -5, -53
Put 4, 0, -4, -66 in ascending order.
-66, -4, 0, 4
Sort -0.1, 0.2, 2125, -4.
-4, -0.1, 0.2, 2125
Put 0.1, -15, 0.4, 4 in ascending order.
-15, 0.1, 0.4, 4
Sort -1
|
{
"pile_set_name": "DM Mathematics"
}
|
.
48
Let c = -15378975 - -14579265217/948. Let z = 1/474 + c. Find the common denominator of -2/5 and z.
20
Let o = 27 + -15. Suppose -2*u + 4 = 0, 2*u + 1 = -g + 11. What is the smallest common multiple of g and o?
12
Let b = 35/73 - 7005/146. Let l be -1*(-3623)/18*15. Let h = -3043 + l. Find the common denominator of b and h.
6
Let o = 27 + -19. Let c = -3 + o. Let j = -2 - -4. Calculate the smallest common multiple of j and c.
10
Let b be ((-357228)/(-3332))/(22/1). Let s = -8/833 + b. Calculate the common denominator of s and -65/6.
66
Calculate the lowest common multiple of 7 + 0/1 + -5 and 48.
48
Let i be 10/24*18/52. Let s = -1155/104 - i. Find the common denominator of 1 - 2 - 279/(-60) and s.
20
Suppose j = -2*j + 9. Suppose 10 = -l + 6*l. Suppose 5*m = -l*y + 58, 2 = m + y - 3*y. Calculate the smallest common multiple of m and j.
30
Suppose -2*i + 4 = -4. Suppose -4*n + 6 = -2. What is the smallest common multiple of (n/(-5))/(1/(-5)) and i?
4
Let h be (-4)/(-6)*(-12)/1. Calculate the common denominator of -30/11 and (-162)/h - (1 - -1).
44
Let y = 6 + -4. Suppose -5*b + 40 = 3*w, 2*b = 5*w - y*w - 26. Calculate the lowest common multiple of w and 9.
90
What is the common denominator of -21/20 and (-3)/(-9)*122/8?
60
Let h(d) = -28*d - 1. Let p be 4/8 - 6/4. Let m be h(p). Suppose q + 0 - m = -3*u, -u = 2*q - 29. Calculate the lowest common multiple of q and 2.
12
Let g = 86931/4370 + -602/115. Let x = g - -54/19. Calculate the common denominator of -49/16 and x.
16
Let t be 1 + (0/2 - -45). Let a = -15 + t. Suppose a = 2*v - 9. What is the smallest common multiple of 12 and v?
60
Let i(d) = -d**2 + 8*d - 5. Let u(s) = -14 - s + 8 + 8. Let k be u(-5). Calculate the smallest common multiple of i(k) and 20.
20
Suppose -q + 0*q - 5 = 0, 52 = 4*y - 4*q. Calculate the common denominator of 99/14 and 69/y + -4 + 1.
56
Let q = 1/150 - -2212/75. Let a = -115135/12 + 9588. What is the common denominator of q and a?
12
Let g = -28/3 - -9. Find the common denominator of g and -19/8.
24
Let w = -7 - -7. Let m = 30 - w. Calculate the least common multiple of 1 and m.
30
Let l(m) = 9*m**2 - 1. Let s be (-2)/(-7) - 20/(-28). What is the smallest common multiple of l(s) and 3/(12/40)*1?
40
Calculate the common denominator of -18/5 and (202*1/(-10))/(18/15).
30
Suppose 4 = 2*l - 2. Suppose 0 = 4*f - 8, -l*t = -0*t - 4*f - 163. What is the common denominator of -53/14 and 1 - 7*t/54?
126
Suppose 50 = -0*a + 2*a. Suppose -3*u + a = -8. Suppose -2*t + 10 = -0*t. What is the lowest common multiple of u and t?
55
Let u(y) = 3*y**2 - 5*y. Let m be u(-4). Let t = m - 118. Find the common denominator of -41/10 and 2/10 - (-2285)/t.
10
Let g(s) = s**2 + 3*s - 5. Let l be g(-5). Suppose y + 24 = l*y. Calculate the least common multiple of 3 and ((-4)/y)/(6/(-9)).
3
Find the common denominator of (-66)/(-10)*(2 - 1) and 97/10.
10
Let o(z) = z**3 + 2*z**2 + 2*z - 1. Suppose -3 = 5*c - 13. Let i be o(c). Let j = i + -10. Calculate the least common multiple of j and 2.
18
Let i = 113961/23114 - 3/1651. Let h = 503/2 - 244. Calculate the common denominator of i and h.
14
Let w = -331/20 - -4/5. Calculate the common denominator of -57/68 and w.
68
Let u = 4/2569 - 187597/38535. What is the common denominator of u and -59/21?
105
Let y = 27 + -13. What is the least common multiple of y and (-57)/(-6) + (15/6)/5?
70
What is the common denominator of 4/((-8)/6) + (-61)/24 and -97/14?
168
Let j = 1/25 - -153/50. Let v = 41/10 - 769/90. Calculate the common denominator of v and j.
90
Let z = -13 + 18. Let u = 13 - 11. What is the smallest common multiple of u and z?
10
Suppose 5*t = -4*r + 8, 3*r + 17 = 6*r + t. What is the least common multiple of (6/(-18))/1 + (-28)/(-3) and r?
63
Let m = 9175/2814 - 38/201. What is the common denominator of ((-3)/(-2))/((-54)/(-267)) and m?
84
Let f = 6/247 - -17236/2223. Find the common denominator of (-5 - (-3 + -6))/(3 + 1) and f.
9
Calculate the common denominator of 87/22 and (-10)/(-4)*(-279)/15.
22
Suppose 0*t - 4*t - 2*v = -8, -3*t = -2*v - 6. Calculate the lowest common multiple of t and 14.
14
Let h = -15 - -16. Calculate the lowest common multiple of h and 2.
2
What is the common denominator of (-609)/(-22) - (-12)/(-66) and 101/26?
26
Let p = 11 - 12. Let a = 1867/4 + -464. Calculate the common denominator of (-8)/28 + p + -3 and a.
28
Let h(t) = t + 7. Let c be h(-9). Let j be (-7)/c - (-2)/(-4). Let y(f) = 2*f**3 - 3*f**2 - 5*f + 4. What is the smallest common multiple of y(j) and 20?
80
Let l = 37 - 25. Suppose 19 + 21 = 5*p. Calculate the smallest common multiple of l and p.
24
Let f be (2 + -2 + 10)*-1. Let b = f - -14. Calculate the least common multiple of b and 14.
28
Let a = -140/51 + 6551/510. Let r = -3500 + 21085/6. What is the common denominator of r and a?
30
Let f be (-145)/(-10)*(-1 + 11). Calculate the common denominator of 43/2 and f/3 + 7/(-21).
2
Let w = -110/9 - -14. Let i = -21012 + 462477/22. Let d = 641/198 - i. Find the common denominator of w and d.
9
Suppose h - 12 = 30. What is the smallest common multiple of h and 9?
126
Calculate the smallest common multiple of (1 + -4)/((-3)/10) and -18*3/((-18)/2).
30
Suppose -6*a - 14 = -w - 3*a, 3*w + 3*a = 42. Find the common denominator of w and -2 - -4 - (-57)/10.
10
Let c be 2 + 4/(-1) - -9. Suppose g - 10 = c. Suppose 3*n + 5*z = 11, -2*n = -n - 5*z - g. What is the smallest common multiple of 3 and n?
21
Let v = -553 - 1116. Let i be -2 + 14*v/36. Let k = -3865/6 - i. What is the common denominator of k and 37/6?
18
Let u = 13 + -1. Calculate the least common multiple of u and (-60)/8*(-24)/10.
36
Let j = 3 - 6. Suppose -x + 10 = x + r, 3*r - 12 = -3*x. Let m = x - j. What is the least common multiple of 10 and m?
90
Let z be ((-2)/(-9))/(820/(-78063)). Let q = 7/615 - z. Find the common denominator of q and -40/7.
42
Suppose -2*x + 9 - 3 = 0. Suppose 63 = 5*f - 4*k, 2*k - 3*k - 46 = -4*f. What is the smallest common multiple of f and x?
33
Let a(h) = -h**3 + 3*h**2 + 19*h + 8. Calculate the least common multiple of a(6) and 10.
70
Let g = -60 - -115. Calculate the least common multiple of g and 7.
385
Suppose 58 + 10 = -2*m. Let s = 56607/3100 - 8/775. Calculate the common denominator of m and s.
4
Calculate the common denominator of -25/12 and (-2)/(-6) - 2620/(-840).
84
Let b = -8 + 12. Calculate the lowest common multiple of b and 3.
12
Let w be (6/(-4))/3*-130. Suppose 2*x = w + 7. Suppose -4*u + 36 = -x. Calculate the least common multiple of 22 and u.
198
Let l be (-32)/(-5) + (-8)/20. Suppose 5*n + 2*b = 98, -4*b = -10 - l. What is the smallest common multiple of n and 12?
36
Find the common denominator of -5/32 and (0 + -2)*1 - (-355)/(-20).
32
Let o = -2224245 - -1570108. Let x be (-1)/3 - o/(-48). Let v = -13623 - x. Find the common denominator of 19/10 and v.
80
Suppose 0 = -j - 2*j + 36. Let r = -8 - 1. Let c = r - -13. Calculate the least common multiple of j and c.
12
Suppose 0 = -3*u + 12 + 9. Suppose -5*o - 25 = 0, -6 = 3*p + o + 2. What is the least common multiple of 1 + p + 2/2 and u?
7
Let k(l) = -2*l + 88. What is the lowest common multiple of k(29) and 45?
90
Let o = -19325/2952 + -3/328. Suppose 7*f - 2*f + 5*j = 100, -16 = -2*f + 4*j. What is the common denominator of o and (f/(-14))/((-5)/10)?
63
Suppose -10 = -2*f - 3*f. Suppose -g = f*g + 6. Find the common denominator of 1/9*(-141)/g and -93/22.
66
Let c = 26 - 14. Let b be (-2)/4 - 9/(-6). Suppose -3 - b = -3*v - 4*h, -5*v + 50 = -2*h. Calculate the lowest common multiple of c and v.
24
Calculate the common denominator of (-24 - (-2 - 0))/(-4 - 2) and -131/6.
6
Let m = 18298532/303 - 379529461687/6284220. Let k = -27983/67698471 + 2/21761. Let c = m + k. What is the common denominator of 71/16 and c?
80
Let c = 22 - 8. What is the smallest common multiple of 1 and c?
14
Let a be (-2)/((-36)/15 - -2). Suppose 2*o = -3*x + 4 + 9, 41 = a*o - x. What is the lowest common multiple of 20 and o?
40
Suppose h - 4*h - 3 = -2*b, -4*b + 2*h + 2 = 0. Suppose -p + 0*p + 16 = b. Let k = 43 - 23. Calculate the smallest common multiple of k and p.
80
Calculate the common denominator of ((-44)/6)/(32/(-84)) and -2 + 676/144*2.
36
Suppose d + 0*d + i = 61, 0 = -i + 1. What is the sm
|
{
"pile_set_name": "DM Mathematics"
}
|
19 - n. What is the highest common divisor of c and w?
11
Let c(r) = r**2 + 16*r - 16. Let x be c(-17). Suppose 4*n = 1 + 3. Calculate the greatest common divisor of n and x.
1
Suppose 4*m - 2*o = 6902, 3*o + 6 - 3 = 0. Suppose 5*z + 3*i - 2*i - 1701 = 0, -5*i = -5*z + m. Calculate the greatest common factor of 11 and z.
11
Suppose -8*t + 10*t + 5*m - 218 = 0, 4*t + m = 418. What is the highest common divisor of t and 16?
8
Let f(u) = -57*u + 2. Let x be f(-1). What is the greatest common factor of 295 and x?
59
Let o(k) be the first derivative of -k**2 + 22*k - 11. Let h be o(9). What is the greatest common factor of h and 28?
4
Suppose 3*o = -3*f + 228 + 78, 3*o - 4*f - 285 = 0. Calculate the greatest common divisor of o and 1782.
99
Suppose k = -4*c + 108, -2*c = -2*k - 67 + 13. What is the highest common factor of 513 and c?
27
Let z(c) = 28*c**2 - 4*c - 2. Let h be z(-2). Let o = h - 108. What is the highest common divisor of 90 and o?
10
Suppose -37*v - n = -36*v - 14, 106 = 5*v - 4*n. Calculate the highest common divisor of v and 1071.
9
Suppose -u + 68 = 3*s, s + 3 = 5*u + 47. Calculate the greatest common divisor of 36 and s.
12
Let q(l) = -3*l**2 + 13*l + 8. Let w be q(7). Let g = w - -74. Calculate the highest common factor of g and 65.
13
Suppose 450 = -17*z + 22*z. What is the greatest common factor of 27 and z?
9
Let q(w) = -w**3 + 30*w**2 + 2*w - 48. Let v be q(30). Calculate the greatest common divisor of v and 276.
12
Let z be (-5)/20 - 137/(-4). Let m = -876 - -910. What is the greatest common factor of z and m?
34
Let l(y) = -3*y**2 + 21. Let j be l(-5). Let x = 56 + j. Calculate the greatest common divisor of x and 14.
2
Suppose x - 605 = 4*o, -16*o + 11*o + 641 = x. What is the highest common factor of x and 27?
27
Suppose -252 = -14*j + 168. Calculate the greatest common divisor of 190 and j.
10
Suppose -i - 3*f + 96 = 0, -152*i = -153*i + 5*f + 104. What is the highest common factor of i and 165?
33
Let s(i) = 2*i**2 - 20*i + 22. Let y be s(9). What is the highest common factor of 76 and y?
4
Let g be (-7 - -5) + 1*7. Suppose u + 2*i + 52 = 4*u, g*i = u. Suppose 0*s = -4*s + u. What is the highest common factor of s and 2?
1
Let u(r) = 12*r - 105. Let z be u(13). Calculate the highest common divisor of 136 and z.
17
Suppose -6*y + 10 = -5*y. Let u be (-1)/((-1)/25*1). What is the greatest common divisor of y and u?
5
Let p(s) = -s**3 - 11*s**2 + 13*s + 13. Let i be p(-11). Let w = -105 - i. What is the greatest common divisor of 225 and w?
25
Let m = -120 + 159. What is the highest common divisor of 91 and m?
13
Let s = 63 + 5. Let p = -41 + s. Let q = -120 + 138. What is the greatest common factor of p and q?
9
Let p = 13 - 9. Let w be (418/p)/(8/16). Let i be (6 - 9)/(-1*6/38). Calculate the highest common divisor of i and w.
19
Suppose -3 = w - 47. Calculate the highest common divisor of 77 and w.
11
Suppose -2*i = -2*y + 322, -3*i = -12*y + 8*y + 648. Calculate the greatest common divisor of 11 and y.
11
Let u = 58 + -88. Let l = -18 - u. What is the greatest common divisor of 132 and l?
12
Suppose -965 = 5*w + 175. Let t be (-3)/(-15) + w/15. Let g be (-3)/t - (-18)/10. What is the highest common factor of g and 22?
2
Let x be (-1396)/(-6) + (-4)/(-12) - 1. What is the greatest common factor of x and 12?
4
Let b be 30 - (4/(-1) + 2). Suppose 0 = -b*v + 36*v - 92. What is the greatest common divisor of 184 and v?
23
Suppose 836 - 3761 = -5*u. Suppose 13*s = -0*s + u. What is the highest common divisor of s and 5?
5
Let w(h) = -444*h - 57. Let i be w(-3). Calculate the highest common factor of i and 30.
15
Let x = -149 - -143. Let c be 4896/160 + 1/(10/x). What is the highest common divisor of c and 12?
6
Let d = -51 - -91. Let i(r) = -90*r + 1170. Let f be i(9). What is the greatest common factor of d and f?
40
Suppose 0 = -2*r + 3*k + 706, 5*r - 3*r - 696 = -2*k. Calculate the greatest common divisor of r and 28.
14
Suppose 60 = 10*f - 5*f. Let l = 65 - -67. What is the highest common divisor of f and l?
12
Suppose 5*g = -s + 37, -2*g - 3*s = 2*s - 24. Let a = 32 - g. Suppose -3*q + 6 = -9. What is the highest common divisor of a and q?
5
Suppose 5*k = 3*l - 23, 3*l = -5*k + 2 + 11. Calculate the highest common factor of 12 and l.
6
Suppose -3*l + 4 = -l. Let y be 4*l - (-8 - -6). Suppose -8 = -3*t + y. What is the highest common divisor of 12 and t?
6
Let z = 11 - 6. Suppose -80 = -z*d + s, -3*s - 24 = -9. Calculate the highest common divisor of d and 5.
5
Suppose 16*f - 155 - 2165 = 0. Let s = 7 - -10. Suppose -5*q - s + 2 = 0, 3*r = 4*q + 99. What is the greatest common divisor of f and r?
29
Suppose 0 = -3*n + 2*h + 19, 3*n + h - 13 = 2*n. Suppose 0 = b + 10 + 3. Let s = 23 - b. What is the greatest common factor of s and n?
9
Let t(l) = -16*l - 273. Let h be t(-18). Calculate the highest common factor of h and 45.
15
Let c(j) = 2*j + 67. Let d be c(22). Suppose l - 5*t = 127 - 43, l = 2*t + 78. Calculate the greatest common factor of d and l.
37
Suppose o - 4 = -2*c - 3, 4*o + 29 = 3*c. Let v = -18 + 16. Let d be -3 + 5 - (v + -8). Calculate the greatest common divisor of d and c.
3
Let p = -46 + 53. Suppose -3*j = -5*u - 2 + p, -3*j - 2*u + 23 = 0. What is the highest common factor of 45 and j?
5
Let c = 4137 + -4067. Suppose -5*v = -4*z + 41, 0*v - 4*v + 68 = 4*z. What is the greatest common divisor of c and z?
14
Let h = -7 + 12. Suppose h*n + 50 = v, -4*v + 0*n = -3*n - 115. Suppose 37*p - 34*p = 525. Calculate the highest common divisor of v and p.
25
Suppose -4*i = 7*i - 66. Let k be 4 - i*2/(-3). Calculate the highest common factor of k and 8.
8
Suppose -4*h + 4*r = -52, 15 = h - 2*r + 5. Let x(u) = 6*u - 18. Let v be x(h). What is the greatest common divisor of 6 and v?
6
Suppose 0 = -5*q + 120 - 10. Let w(x) = 156*x**2 - 2. Let y be w(-1). Calculate the highest common divisor of q and y.
22
Let c be 2 - (1 + 8/4). Let k be 2*(0 + 100/5) + c. Suppose -4*l = -2*l - 52. What is the highest common factor of k and l?
13
Suppose j - 4*p = 25, 5*p = -3*j + j + 63. Let t be (j - 26)/(6/64). Calculate the highest common factor of 4 and t.
4
Let b(y) = 0*y**2 + 6*y + y**2 + 12 + 3*y**2 - 2*y**2. Let d be b(-3). What is the highest common factor of 156 and d?
12
Let y = 37 - 21. Let d be (-4)/y + 97/4. Let s be d/(3/12*2). Calculate the greatest common divisor of s and 6.
6
Let f = 868 + -766. Calculate the greatest common factor of 1224 and f.
102
Let y(d) = 2*d - 1. Let g be y(-4). Let t = g + 13. Suppose 2*v + u = 39, 2*v + 2*u = t*u + 24. Calculate the highest common divisor of v and 187.
17
Suppose 2*g = 8*g - 18. Suppose b - v - 131 = 0, -b - v = g*v - 106. Calculate the highest common factor of b and 18.
18
Let o(l) = -16 - 5*l + 3*l + 4. Let f be o(-7). Suppose 3*v + 2*x = 316, v - 2*x - 124 = f*x. What is the greatest common divisor of v and 12?
12
Suppose 0 = v - 3*k + 289, -6*v + 8*v + k + 592 = 0. Let q = -292 - v. Let o be 16 + (0 - (0 + 1)). What is the greatest common factor of q and o?
3
Let o = 385 + -345. What is the highest common divisor of 10 and o?
10
Let f = 13 + -2. Let q(a) = -a**2 + 4*a - 7*a + 6*a + 11*a - 6. Let h be q(f). Calculate the greatest common divisor of 27 and h.
27
Let r be (114/5)/((-5)/(-75)). What is the greatest common divisor of 12 and r?
6
Suppose -23*v + 384 = 315. Calculate the greatest common divisor of 27 and v.
3
Let m be ((-70)/(-21))/(-10)*6/(-1). What is the greatest common factor of 1 and m?
1
Let q = -48 + 52. Suppose q*o = 107 + 473. Calculate the highest common factor of o and 29.
29
Let t(v) = v**3 + 8*v**2 + 2*v - 2. Let d be t(-7). Suppose -3*m - d = -3*k, 8 - 60 = -5*k + 4*m. Calculate the greatest common factor of k and 72.
8
Suppose 8*o - 5*o - 78 = 0. Calculate the greatest common factor of 975 and o.
13
Let k be -6 - (-7 - 3) - (6 + -1). Let m(l) = 13*l**2 + 3*l + 2. Let g be m(k). Calculate the greatest common factor of g and 42.
6
Let f(z) = 6*z + 50. Let u be f(-8). Let v = -13 + 35. What is the highest common factor of u and v?
2
Suppose 2*w - 1408 = -2*m, 2*m = 15*w - 20*w + 1408. What is the greatest common factor of 11 and m?
11
Let q = -503 - -515. What is the greatest common factor of q and 128?
4
Suppose -2*v + 3*v = -1. Let f = v - -
|
{
"pile_set_name": "DM Mathematics"
}
|
= i - 2*x. Put -2, 3, i, 1 in decreasing order.
3, 1, -2, i
Let i = -5 - -13. Suppose 3*y = 5*y - i. Suppose 0 = -x + 2*z - 3, y*x - 2*z + 11 = -7. Sort x, -4, -3 in decreasing order.
-3, -4, x
Let p(c) = c**3 - 3*c**2 + 2*c + 14. Let f be p(0). Put f, 1, 5 in decreasing order.
f, 5, 1
Let h(t) = -2*t**3 + 8*t**2 - 6*t + 2. Let f be h(3). Sort -3, 5, 4, f.
-3, f, 4, 5
Let y be (-15)/(-30) - (-30)/4. Put 5, -3/2, y in decreasing order.
y, 5, -3/2
Suppose u - 9 = 2*q, -3*q - 9 = 3. Let s = 6 + -2. Suppose -x = 2*w - u + 11, 0 = -2*w + s*x. Put 0, -3, w in descending order.
0, -3, w
Let o = -26.0179 - -0.0179. Sort o, 4/5, 0.2 in ascending order.
o, 0.2, 4/5
Suppose -g + 15 = -3*c, g - 8 = 2*c + 3. Suppose 3*n + 2*n = 2*n. Put 5, n, g in increasing order.
n, g, 5
Let l = -437 + 438. Put l, 5, -202 in decreasing order.
5, l, -202
Let y = 131 - 131.82. Sort 5, -5, 4, y.
-5, y, 4, 5
Let m = 0 + -1. Let r(i) = i**2 - i - 1. Let t = -23 + 22. Let g be r(t). Put g, 4, m in ascending order.
m, g, 4
Suppose -12*o + 14*o + 24 = 0. Let m be (4/8)/(18/o). Put 0.5, -10, m, 3 in descending order.
3, 0.5, m, -10
Let l = 428 - 463. Sort l, -2/5, -0.5 in decreasing order.
-2/5, -0.5, l
Let y(v) = v**2 + 12*v - 12. Let b be ((-100 + -4)/4)/2. Let w be y(b). Sort w, 2, -5.
-5, w, 2
Let q(f) = f + 3. Let i be q(-2). Let s be (i - 0)*8/32. Put s, -2, 0 in increasing order.
-2, 0, s
Let y(k) = 4*k - 2*k - 7 - 5*k - k. Let n be y(-5). Let d = -467 - -468. Put 3, n, d in descending order.
n, 3, d
Let n be 2/6 + 28/(-30). Suppose -47 = -4*l - 3. Let w(h) = -h**2 + 11*h - 1. Let i be w(l). Put -5, i, n in increasing order.
-5, i, n
Suppose -7*m + 4*m = -6. Suppose 0 = -4*f + 3*k - 7, -9*f + 11*f = 5*k - 7. Put m, f, -3 in descending order.
m, f, -3
Let y = 75.7 - -17.3. Sort y, -4, -1/2 in decreasing order.
y, -1/2, -4
Suppose 238 + 238 = 28*z. Put -4, z, 0.1 in decreasing order.
z, 0.1, -4
Let d(r) = -r**3 - 9*r**2 + 13*r + 31. Let m be d(-10). Put 1/12, m, -5 in decreasing order.
m, 1/12, -5
Let f(i) = i**3 - 7*i**2 + 14*i - 3. Let o be f(4). Suppose -2 = c + 3. Let y be c/((-15)/(-9)) - 0. Sort y, o, 3 in decreasing order.
o, 3, y
Let a be (22 - 21)/(1/(-47)). Sort -3, a, 1.
a, -3, 1
Let w = -2 - -2.2. Let l be (42/12)/((-70)/(-40)). Put l, -0.1, w, -2 in descending order.
l, w, -0.1, -2
Let v(c) = -239*c + 2156. Let j be v(9). Suppose 0 = 4*f + 10 - 2. Sort -27, j, f, 0 in descending order.
j, 0, f, -27
Let i be (-4)/4 - 2/2. Let f be (-3)/i*10/3. Let u = -65 - -63. Sort f, u, 1 in descending order.
f, 1, u
Suppose -64 = -29*n - 6. Suppose 5*p + 5 = -h, 2*p - 3*p + 2*h + 10 = 0. Put p, n, 7 in increasing order.
p, n, 7
Suppose -5*i - 1 = -2*x, 0*x = 5*x + 2*i - 17. Suppose 2*g - 30 - 18 = 0. Let c = -25 + g. Sort c, -3, x in decreasing order.
x, c, -3
Let k be (15984/45)/(-8)*(-10)/4. Sort -1, k, -4.
-4, -1, k
Let c = -1014 + 1011. Put c, -7, -10 in descending order.
c, -7, -10
Let n = 600 - 595. Let u(v) = -v + 2. Let j be u(0). Sort -5, 20, j, n in increasing order.
-5, j, n, 20
Let u = -59.8 + 60.8. Sort 0.24, u, -2/7 in descending order.
u, 0.24, -2/7
Let k = 0.822 + -0.322. Sort 0.56, k, 1/3 in descending order.
0.56, k, 1/3
Let i = -53 + 29. Let f = -24 - i. Suppose -18 = 3*j - f*j. Sort 3, 5, j in descending order.
5, 3, j
Let r be 460/(-90) + 1/9. Let i(q) = -q**2 - 15*q - 15. Let b be i(r). Let v = b - 106/3. Sort 0.1, v, 9 in descending order.
9, 0.1, v
Let p(l) = -7*l + 160. Let k be p(22). Put k, -5, 0, -3 in descending order.
k, 0, -3, -5
Suppose -28*p + 43*p = -30. Sort -4, 3, 83, p in descending order.
83, 3, p, -4
Let v = 29.3 + -27.3. Sort v, 6, -1 in descending order.
6, v, -1
Let m = 104 - 100. Suppose r = m*f - 0*r + 7, 3*f + 9 = 2*r. Put -4/5, f, -3 in increasing order.
-3, f, -4/5
Suppose 0 = -5*r + 8 - 3. Suppose 4*a + r = -7. Sort -1, a, 4.
a, -1, 4
Suppose -3*n = 3*b - 3, -7 = 6*n - n - b. Sort n, 0.05, 3 in decreasing order.
3, 0.05, n
Let b = -505 + 501. Let w = -15 - -9. Sort b, -5, w in ascending order.
w, -5, b
Let a = 0.38 - 0.08. Suppose 2*h - 16 = 5*k, 4*h = k + 2*k + 4. Let j be h + (-1)/((-24)/52). Put a, j, 4/3 in increasing order.
j, a, 4/3
Suppose 0 = 8*i - 3*i. Let s = 136 - 145. Let f be 4/(-3)*(3 + 0). Sort s, f, i in increasing order.
s, f, i
Let y be (8/(-12) - 76/30)*5. Let a = 20 + y. Suppose 0 = -2*j + 1 - 11. Sort j, a, 0.
j, 0, a
Let z(a) = -2*a - 1. Let k be z(-5). Let p be -1 + 2 - (-7)/(2 + -3). Let q be ((-2)/p)/(13/78). Sort -2, k, q in decreasing order.
k, q, -2
Suppose 8*w - 12*w + 48 = 0. Let p = -9 + w. Put -1, 4, p in decreasing order.
4, p, -1
Let v be (2 - (-28)/16)*(-26)/(-65). Suppose -8*g + 9*g = 4. Sort v, 2/5, g in increasing order.
2/5, v, g
Let g be -3 + 2 - (-2 + 8). Let w(l) = 5*l - 25. Let d = -13 - -19. Let m be w(d). Sort m, 3, g.
g, 3, m
Suppose 3*t - 22 = -106. Let h = 29 + t. Sort 3, -2/9, h in increasing order.
-2/9, h, 3
Suppose 19*n - 49 - 46 = 0. Let r = 4 + -2. Suppose -2 = -0*g + r*g. Put n, 2, g in ascending order.
g, 2, n
Let z = -462 + 460. Sort -1/3, -4/5, z in increasing order.
z, -4/5, -1/3
Let q = 447 + -453. Put -3, 0, -1, q in descending order.
0, -1, -3, q
Let r = 34 - 67. Let p = r - -38. Sort -7, p, -0.4 in descending order.
p, -0.4, -7
Let r = -14.3 + 14.3. Let c be ((-42)/9 + 5)*(-4)/(-2). Suppose -m - t - 5 = -3*t, 4*m - 4*t = -20. Sort r, m, c in increasing order.
m, r, c
Let g be 33/11 + 2*1. Suppose -6 - 9 = -g*j. Let l be -3 - (j - (4 + 4)). Put 0.2, 3, l in increasing order.
0.2, l, 3
Let r = 9/59 + 159/118. Let k = 0.4 + -0.2. Put -1, -2/5, k, r in ascending order.
-1, -2/5, k, r
Suppose 0 = b + 5*s - 8, 5 = -3*b - 3*s + 17. Let w be (1/b)/((-2)/(-6)). Let k = -8 + 12. Put 0, w, k in increasing order.
0, w, k
Let t = -108 + 108.108. Let g = t + -5.108. Sort 0.07, g, 1, -3/4 in ascending order.
g, -3/4, 0.07, 1
Let s = -2.99 + -0.01. Let r(k) = -2*k**2 + 24*k + 26. Let w be r(12). Suppose -w = 3*l - 4*n, 5*n - 28 = l + 2*l. Sort l, -2, s in decreasing order.
-2, s, l
Let k(f) = -9*f - 120. Let x be k(-13). Sort 3, x, 3/2 in descending order.
3, 3/2, x
Let x(d) = -d**3 - 7*d**2 - 10*d - 27. Let s be x(-6). Sort 3, s, -5, 120 in decreasing order.
120, 3, s, -5
Let i = -1 + 1. Suppose 2*p - 6 = -i. Suppose -24*k - 19*k = -51*k. Sort p, -3, k in descending order.
p, k, -3
Suppose -5*f + 103 = -3*b - 90, 4*f + 236 = -4*b. Sort b, 2, 3 in descending order.
3, 2, b
Let f be (-2 + -1)/(15/(-20)). Let h = 6 - f. Let a = 0.01 - -0.49. Sort a, h, 3/5.
a, 3/5, h
Let y = -29/41 + -1015/246. Let j = -12 - -15/2. Let g = j - y. Sort 1/7, g, -4.
-4, 1/7, g
Let i(o) = -o**3 + 2*o - 1. Let c be i(1). Let m = c + 3. Let w(v) = 229*v + 457. Let k be w(-2). Sort -4, k, m in descending order.
m, k, -4
Let l(y) = y. Let i(m) = -2*m + 2. Let k be i(3). Let w be l(k). Suppose 4*g + 3*j = -11, 3*g - 34 + 46 = -3*j. Put -2, g, w in descending order.
g, -2, w
Suppose -5*g + 0*g - 5 = -4*j, -4*j - 2*g - 30 = 0. Put 1, 10, 3, j in increasing order.
j, 1, 3, 10
Let x = -3.3 + 3. Suppose -5*r = -4*o - r - 8, 6 = 5*o + 3*r. Let l(i) = -i**2 - 5. Let q be l(o). Sort x, q, -1/4.
q, x, -1/4
Let s be 3/(2/(3 + -7)). Let c be (-22)/s - (-13)/39. Suppose 0 = -u - 3, 0*l + 4*l = 5*u - 1. Put -1, c, l in decreasing order.
c, -1, l
Let w be 10 + 161/(-7) + -7. Put 2, 4, w, -3 in increasing order.
w, -3, 2, 4
Let k = -21 + 19. Sort k, 4, 11 in increasing order.
k, 4, 11
Let r be 1/(-3)*(-3)/(-11). Let q = 158.27 + -157. Let w = q + -1.57. Sort r, w, -1 in increasing order.
-1, w, r
Suppose 0 = 1361*t - 1366*t + 265. Sort t, 0, -3 in descending order.
t, 0, -3
Let b = 65.4 + -70. Let m = b - 0.4. Let w be 13/(-20) - 5/(-20). Sort m, -0.1, w in descending order.
-0.1, w, m
Let m = 7 + -4.4. Let l = m - 0.6. Let x = 0.26 - 0.06. Put -2/11, x, l in decreasing order.
l, x, -2/11
Let h = -0.05 + -0.65. Let u = 3.09 + -3.19. Put 5/3, u, h in descending order.
5/3, u, h
Let l = 1 + 4. Suppose -p = -l*k - 21, -4*p + 47 = p + 4*k. Suppose 2*y - 4*i + p = -1, -10 = 3*y - 2*i. Put 4, y, 1/2 in descending order.
4, 1/2, y
Let v(r) = -2*r + 14. Let t be v(9). Let u be 1 + 6/(-3) - t. Suppose 4*i - 3*o + 5 = 3*i, -u*o = -2*i - 1. Sort -5, -8, i in ascending order.
-8, -5, i
Let v = -191.5 - -192. Put 1, 3, v, -3/8 in as
|
{
"pile_set_name": "DM Mathematics"
}
|
1, -1397, -1863, -2329?
-2795
What comes next: 1527, 1518, 1503, 1482, 1455?
1422
What comes next: 178, 206, 260, 346, 470, 638, 856?
1130
What comes next: 164939, 164943, 164949, 164957, 164967, 164979, 164993?
165009
What is the next term in -24, -16, 8, 54, 128, 236, 384, 578?
824
What is the next term in -647, -640, -629, -614, -595, -572?
-545
What is the next term in -6877, -6875, -6873, -6871?
-6869
What is the next term in 15626, 31254, 46882, 62510?
78138
What is the next term in 90, 133, 210, 339, 538, 825?
1218
What comes next: 16, 10, -6, -38, -92, -174?
-290
What comes next: -66, -56, -40, -18, 10, 44?
84
What is the next term in 6107, 6108, 6109?
6110
What comes next: 27, 22, 13, 6, 7, 22?
57
What comes next: -15, -16, -17?
-18
What is next in -78, -95, -112, -129, -146?
-163
What is the next term in -375, -749, -1123?
-1497
What is the next term in 4, 31, 96, 217, 412, 699?
1096
What comes next: -736, -735, -734, -733, -732?
-731
What is next in -48, -80, -112, -144?
-176
What is the next term in -5, -18, -51, -110, -201, -330?
-503
What is next in -3, -2, -1, 0, 1, 2?
3
What is the next term in 16, 56, 122, 214?
332
What is next in -6, 8, 46, 120, 242, 424, 678?
1016
What is next in -124, -120, -114, -106?
-96
What is the next term in -16, -7, 2, 11?
20
What is the next term in -110, -220, -330, -440, -550, -660?
-770
What is next in 192, 189, 184, 177, 168, 157, 144?
129
What comes next: 1, -5, -37, -113, -251, -469, -785, -1217?
-1783
What comes next: -10, -95, -316, -739, -1430, -2455, -3880, -5771?
-8194
What is next in -20, -202, -694, -1652, -3232, -5590, -8882?
-13264
What is next in -53, -151, -253, -359, -469, -583?
-701
What is the next term in -55, -92, -141, -208, -299, -420, -577, -776?
-1023
What is the next term in -125, -251, -377?
-503
What comes next: 1443, 1440, 1437, 1434, 1431?
1428
What is next in -1240, -1241, -1242?
-1243
What is the next term in -23, -13, 5, 31, 65, 107?
157
What is next in -826, -1652, -2478, -3304?
-4130
What is the next term in 20, 30, 42, 56?
72
What comes next: 6367, 12733, 19099?
25465
What is the next term in 98, 200, 302, 404?
506
What comes next: -30, -64, -100, -138?
-178
What is next in 336, 355, 374, 393, 412?
431
What is next in -181, -369, -557, -745?
-933
What is the next term in 52, 38, 8, -44, -124?
-238
What comes next: -13, 31, 97, 179, 271, 367, 461?
547
What comes next: -1018, -1021, -1026, -1033?
-1042
What comes next: -84, -91, -96, -99?
-100
What is the next term in -75, -77, -87, -111, -155, -225?
-327
What is next in -806, -1610, -2412, -3212?
-4010
What is next in 29, 278, 967, 2318, 4553, 7894?
12563
What is the next term in 108, 128, 146, 162?
176
What is next in -1210, -1193, -1164, -1123, -1070, -1005, -928?
-839
What is the next term in 98, 187, 276?
365
What comes next: -61, -110, -145, -160, -149, -106?
-25
What is the next term in -11, -15, -29, -59, -111, -191?
-305
What is next in -80, -84, -82, -68, -36, 20, 106?
228
What comes next: 15, 60, 135, 240, 375, 540?
735
What is the next term in -117, -230, -345, -462, -581, -702, -825?
-950
What comes next: -11, -6, 9, 40, 93, 174?
289
What is the next term in -247, -248, -259, -286, -335, -412, -523, -674?
-871
What is the next term in -276, -548, -820, -1092, -1364, -1636?
-1908
What is the next term in 346, 351, 362, 379, 402, 431?
466
What is next in -113, -101, -67, 1, 115, 287, 529?
853
What is the next term in 295, 294, 293, 292, 291, 290?
289
What is next in -151, -522, -1141, -2008?
-3123
What is next in 34, 39, 48, 61?
78
What comes next: 6, -8, -50, -132, -266, -464?
-738
What comes next: 522, 524, 526, 528, 530, 532?
534
What comes next: -180, -172, -164, -156?
-148
What is the next term in -28, -48, -60, -58, -36?
12
What comes next: -101, -384, -843, -1472, -2265, -3216, -4319?
-5568
What is the next term in -53, -188, -503, -1088, -2033?
-3428
What is next in -32, -65, -100, -137, -176, -217?
-260
What is the next term in -145, -133, -107, -61, 11, 115?
257
What comes next: -560, -1119, -1678, -2237?
-2796
What is the next term in -2, -12, -44, -110, -222?
-392
What is the next term in 276, 268, 248, 210, 148, 56?
-72
What is next in 2216, 4435, 6654, 8873?
11092
What is next in -3679, -3680, -3681?
-3682
What is the next term in -473, -482, -491, -500, -509?
-518
What is the next term in 325, 310, 283, 238, 169, 70, -65?
-242
What is next in -19121, -19122, -19123?
-19124
What comes next: 35, 91, 133, 155, 151, 115?
41
What comes next: 30, 56, 68, 60, 26?
-40
What is next in -41, -45, -59, -89, -141, -221, -335, -489?
-689
What is next in -114, -112, -106, -96, -82, -64, -42?
-16
What comes next: 32, 73, 112, 149?
184
What is next in 123, 127, 141, 171, 223, 303?
417
What comes next: -16390, -32779, -49168?
-65557
What comes next: -627, -2455, -5501, -9765?
-15247
What is the next term in -3, -24, -83, -198, -387, -668, -1059?
-1578
What is the next term in -107, -57, 77, 337, 765?
1403
What is next in -14, -19, -32, -59, -106, -179?
-284
What is next in 290, 298, 302, 302, 298?
290
What comes next: -4763, -9527, -14291?
-19055
What comes next: 119, 134, 147, 158, 167?
174
What comes next: -368, -754, -1156, -1580, -2032?
-2518
What is the next term in -74, -288, -644, -1142, -1782?
-2564
What is next in 26, -4, -60, -148, -274, -444?
-664
What comes next: 15, 27, 63, 135, 255, 435, 687?
1023
What is the next term in 26, 59, 102, 155, 218?
291
What is next in -206, -420, -622, -806, -966, -1096?
-1190
What is next in -54, -104, -170, -258, -374?
-524
What is the next term in -78, -57, 2, 117, 306, 587, 978?
1497
What is the next term in 238, 239, 240, 241?
242
What comes next: -50, -89, -146, -215, -290?
-365
What is next in 2992, 5978, 8964?
11950
What is next in 6, -18, -42, -66, -90?
-114
What is the next term in -79, -85, -95, -109, -127, -149?
-175
What is the next term in -1737, -3474, -5213, -6954, -8697, -10442?
-12189
What is the next term in -13, -31, -49, -67, -85, -103?
-121
What comes next: -44, -68, -104, -158, -236, -344, -488, -674?
-908
What is the next term in -163, -162, -147, -106, -27?
102
What is next in -313, -311, -297, -265, -209?
-123
What is the next term in 134, 253, 452, 731, 1090, 1529, 2048?
2647
What is the next term in 1560, 1563, 1568, 1575?
1584
What is the next term in 2228, 2215, 2202?
2189
What is next in 62, 125, 188?
251
What is next in 34, 30, 26?
22
What is next in 15, 42, 69, 96, 123, 150?
177
What comes next: 145, 149, 131, 79, -19, -175, -401, -709?
-1111
What comes next: -526, -531, -544, -571, -618, -691?
-796
What is next in 52, 111, 170, 229, 288?
347
What is the next term in 771, 812, 853, 894, 935?
976
What is next in -2967, -2965, -2963, -2961?
-2959
What is the next term in 73, 341, 805, 1465, 2321?
3373
What comes next: 82, 74, 68, 70, 86, 122, 184, 278?
410
What is next in -233, -231, -229, -227, -225, -223?
-221
What is the next term in 2779, 5556, 8333?
11110
What is the next term in -24080, -24081, -24082, -24083?
-24084
What is next in -1127, -4685, -10607, -18887, -29519, -42497, -57815?
-75467
What is next in -112, -176, -346, -676, -1220, -2032, -3166?
-4676
What is the next term in 32, 66, 130, 230, 372?
562
What is the next term in 35, 43, 51, 59?
67
What is next in -5, -4, 1, 10, 23, 40, 61?
86
What comes next: -115, -440, -973, -1708, -2639, -3760, -5065?
-6548
What is next in 295, 553, 811, 1069?
1327
What is next in -341, -623, -903, -1181, -1457?
-1731
What is next in -24, -263, -920, -2205, -4328, -7499, -11928?
-17825
What is the next term in -1322, -2634, -3946?
-5258
What comes next: -2020, -8087, -18198, -32353, -50552, -72795, -99082?
-129413
What is the next term in -96, -92, -84, -72, -56, -36?
-12
What comes next: -31, -58, -85, -112, -139?
-166
What comes next: 240, 486, 728, 966, 1200, 1430?
1656
What is the next term in -1679, -3361, -5043?
-6725
What is next in 2017, 4004, 5993, 7984, 9977, 11972?
13969
What is next in -375, -374, -375, -378?
-383
What comes next: 9, 16, 21, 24, 25, 24?
21
What is the next term in 66, 148, 242, 348?
466
What comes next: -330, -331, -332, -333, -334, -335?
-336
What is next in -1622, -1621, -1620, -1619, -1618, -1617?
-1616
What comes next: -83, -162, -243, -326?
-411
Wh
|
{
"pile_set_name": "DM Mathematics"
}
|
) + j. Which is the closest to -1? (a) t (b) i (c) 2
a
Let x = -3965/7 - -566. Which is the nearest to 0.1? (a) x (b) 1 (c) 1.4
a
Let u = -1021 + 1020.94. What is the nearest to -6 in 1, 0.3, u?
u
Let m = 80 + 79. Let h = m + -159. Which is the nearest to -1? (a) 5/4 (b) h (c) 4
b
Let d = -3 + 2.7. Let m = -132.1 + 135.1. Which is the closest to 0? (a) d (b) m (c) -0.1
c
Suppose 46*m - 76*m = 0. Suppose 0 = 4*g + 3 - 11. Which is the nearest to 0? (a) g (b) -3 (c) m
c
Let s be (-48)/6*4/(-8). Suppose -s*j - 3*g = 2*g + 6, -5*j + 2*g + 9 = 0. Let n be (1/3)/((-12)/9). What is the closest to j in 1/3, 0.1, n?
1/3
Let j = 2 + -2.1. Let v = -0.003 - 0.297. Let f = 23/2 + -113/10. Which is the nearest to -2/5? (a) v (b) f (c) j
a
Let z = 316 - 4110/13. What is the nearest to 2/3 in 1, 1/2, z?
1/2
Let i(o) = o**3 - 12*o**2 + 19*o + 72. Let k be i(9). What is the nearest to -0.34 in 3/2, k, -4?
k
Let s = -15.8 + 14.8. What is the nearest to -1 in 2, s, 0?
s
Let t = 2.9 - -1.1. Let m be 3*((-30)/(-9))/(-5). Let s be 3/(3*5/m). What is the closest to -0.1 in s, -1/2, t?
s
Let g(o) = -2*o - 1. Let y be g(-1). Let d be (-1)/y*(2 + -3). Let q be (11/(-77))/(d - 0). Which is the closest to -0.1? (a) 2 (b) 1/7 (c) q
c
Let v = -0.446 + 0.046. Let j = 8.7 + -9. What is the nearest to -2/11 in j, 2/9, v?
j
Let k = 197 - 196. What is the closest to k in -0.057, 2, 3?
2
Let b = 133359/7 + -19103. Let q = -52 - b. Let d = 25 - 29. What is the nearest to q in 4, d, 0.2?
0.2
Let c = -2 + 2.3. Let u = 3.1 + -2.5. Let m = c - u. What is the nearest to 0.1 in 5, m, 0.3?
0.3
Let a be 4 + 46/(-10) + 1. Let o be 4/18 + 0*1/6. Let w(y) = y**3 + 4*y**2 - 4*y + 7. Let r be w(-5). What is the nearest to r in o, -1/8, a?
a
Let z = -238 - -2144/9. What is the closest to 0.1 in 2, -2, z?
z
Let a = -641 - -640. What is the closest to a in -4, -3/8, 1/10?
-3/8
Let i = 2.58 + -2.98. Which is the closest to 5? (a) 4 (b) i (c) 1/5
a
Let f = 3 - 2.7. Let m = 0.1 - f. Let v = -2166 - -2171. What is the nearest to -0.1 in m, -5, v?
m
Let p(g) = g**3 + 63*g**2 + 3*g + 191. Let n be p(-63). What is the closest to n in -44, -1/3, 0.1, -5?
0.1
Let k = 242.9 - 243. Which is the nearest to k? (a) -0.4 (b) -1/7 (c) 63
b
Let a = -1051/2 + 525. What is the nearest to -0.1 in -3, a, 6, -0.3?
-0.3
Let r be (-6)/24 - 0/(-2). Let q = 149/3 + -151/3. What is the nearest to r in 4, 0.5, q?
q
Let f = -14.637 - -0.337. Let a = 0.7 - f. What is the closest to a in 3/5, 0.2, -0.3?
3/5
Suppose v = 3 - 6. Suppose -5*r = 4*l - 31, 2*r + 4*l + 2 = 24. Suppose f = r*f. What is the closest to f in -0.2, v, -4?
-0.2
Let j be 12/24*3/(-6). Which is the closest to -2? (a) j (b) -2.2 (c) 0.1 (d) -4
b
Let f = -63 - -66. Which is the closest to -9? (a) 0.15 (b) f (c) -4
c
Suppose 3*y + 2*y - 12 = 4*p, 0 = 3*y - 5*p - 15. Let z = 0.13 + 8.87. Which is the closest to y? (a) z (b) 1 (c) -1/9
c
Let c = 1651 - 28058/17. Let h = c + 1103/68. Let f = -33/2 + h. What is the closest to f in -0.4, -0.2, 3/4?
-0.2
Let x = -7/26 + 1/52. Let p = -64 + 39. Let f = -29 - p. What is the nearest to x in -2/7, 0, f?
-2/7
Let w = -13.29 + 8.29. Which is the closest to -0.2? (a) w (b) -1/2 (c) -0.9 (d) -4/5
b
Let c = -222 + 1112/5. What is the closest to c in -4, 0.9, 2/11, 0?
2/11
Let x = 0.73 + -0.43. Let n = -38 - -33. What is the nearest to 0 in n, x, 6/7?
x
Let c = 0.1 + -0.2. Let o(y) = y**3 + 19*y**2 + 18*y + 2. Let v be o(-18). Suppose 2*p + 18 = 20. What is the closest to p in -2/19, c, v?
v
Suppose 30 = 30*q - 20*q. What is the nearest to q in 1, 0.011, 3?
3
Let u be 160/(-64)*(-4)/55. What is the closest to -1/3 in 0.8, u, -0.2?
-0.2
Let b = -60 - -662/11. What is the closest to b in -1/5, -2, 1/7, -3?
1/7
Let n = 2647 - 2652. Which is the closest to n? (a) 1 (b) 2/5 (c) 4 (d) -4
d
Let p = 29.7 - 24.7. Let x be (-23)/(-11) - (-2)/(-1). Let f = x - 13/22. Which is the closest to -0.2? (a) f (b) 4/3 (c) p
a
Let p(x) = -x**2 + 7*x - 6. Let u be p(5). Let s = -1354 - -1349. Which is the closest to 2/5? (a) s (b) 2/11 (c) u
b
Let h(l) = l**3 - 9*l**2 + 5*l + 5. Let k be h(6). Let t = -71 - k. What is the closest to t in -5/3, 1, 2?
2
Let d = 229.2 + -228.8. What is the closest to 0.2 in -2/7, -1, -2, d?
d
Let a = 2.5 + -3. Let p = 241.3 - 238.3. What is the nearest to p in 0.05, a, -5?
0.05
Let t = -0.07 + -2.93. Let i = 588 - 589. Which is the nearest to -0.3? (a) 3 (b) t (c) i
c
Let r be (-26)/(-52) - (-265)/(-18). Let n = r - -130/9. What is the nearest to 0 in -2/7, n, -3?
n
Let t = -0.23 + -63.77. Let i = 62 + t. What is the nearest to i in 3, 5, 1/5?
1/5
Let i = -616.2 - -570.23. Let z = i - -46. Which is the closest to z? (a) 3 (b) 3/5 (c) -0.4
c
Let n be -3 + -3*8/108*-12. What is the nearest to -0.04 in 1, 4, n, -1?
n
Let p = 268 - 268. What is the nearest to p in 2/5, -0.08, -3, 1/4?
-0.08
Let s be -1*((-1)/(-2) - 0). Let q = 2 - 3. Let a = -553 - -552.9. What is the nearest to a in q, 4, s?
s
Suppose 6*q + 15 = q. Let x = q + 6. Let v = -334 + 329. What is the closest to -9 in x, v, -0.4?
v
Let w = 86.4 + -72. Let n = w - 14.3. Let o = -1 - -0.5. Which is the nearest to n? (a) o (b) 2/9 (c) 2/3
b
Let h be (-4)/6 - (0 - 1). Suppose x - 2*x = -2. Let j be (2/(-3)*(-9)/(-21))/x. Which is the nearest to 0.1? (a) j (b) h (c) -0.3
b
Let x = 0.3 - -0.2. Let t = -0.15 - -0.05. Let i = 0.3 + t. Which is the nearest to 2/7? (a) -1/11 (b) i (c) x
b
Let m = 7 - 12. Let v = 9 + 26. Let p = 37 - v. What is the nearest to -2/5 in m, 1/2, p?
1/2
Let v = 205/3 + -69. Let i = 8 + -1. Let m = i - 5. Which is the closest to 1? (a) v (b) m (c) -1/3
b
Let p = -31 - -28. Let t = 8 + -9. Let v = 194 + -2136/11. What is the closest to t in 4, p, v?
v
Let n = 43/50 + -9/25. Let z = -1.86 - -1.9. What is the closest to 3 in n, z, 1/3?
n
Let v = 101/8 + -51/4. What is the nearest to -1/2 in -1/9, 4, v?
v
Let i = -1.6 + 2.6. Let z be 7/(-3)*4/14. Which is the closest to z? (a) i (b) -3 (c) 5
a
Let j(n) = -2*n + 17. Let q be j(8). Which is the closest to q? (a) 0 (b) -2/11 (c) -3
a
Let x = 253 - 253. What is the nearest to 1/10 in x, 4, 0.4?
x
Let z = 671.9 + -672. Which is the closest to z? (a) 0.1 (b) 1 (c) -0.2 (d) -0.01
d
Suppose 0*q = 3*q + 15. Suppose 26*u = 20*u + 12. Let b be q/60 - u/(-6). What is the closest to 0.1 in 5, b, -2/11?
b
Let x = -53.4 + 53.6. Which is the nearest to 0.1? (a) 6 (b) -3/4 (c) 2 (d) x
d
Let p = 2.5754 + 0.4246. Let t be ((-5)/57)/((-1)/(-4)). Let o = t - -1/57. Which is the nearest to -3? (a) 5 (b) o (c) p
b
Let j = 3.096 + -0.096. What is the nearest to -32 in 5, -0.3, j?
-0.3
Let p = -6879/4 + 1719. Let g be (2 + 8/(-3))/2. Which is the closest to g? (a) p (b) 1/9 (c) 0.4
a
Let w = 46 + -93. Let g = 48 + w. Which is the closest to -1? (a) g (b) -1/5 (c) 4
b
Let l = 0 + -0.2. Let r be (114/7)/(-6) - (0 - 3). Let m = 119.5 + -120. Which is the closest to -2? (a) r (b) l (c) m
c
Let p be ((-4)/14)/((-27)/42). Let d = 0.24 + 19.16. Let t = d + -19. Which is the nearest to -1/2? (a) p (b) -5 (c) t
c
Let g(i) = i - 3. Let c be g(4). Let p = -53.4 + 31. Let m = -22 - p. What is the closest to c in m, 4, 3?
m
Let q be (4/16)/(3/(-12)). Let o = -27 - -66. Let f = o + -81/2. Which is the closest to 2/5? (a) q (b) f (c) 0
c
Let l = -3.645 - 0.355. What is the nearest to -0.5 in -0.2, 5, 1/3, l?
-0.2
Let z = -528 - -528.4. Which is the closest to -0.05? (a) -0.4 (b) 9 (c) z
a
Suppose 5*j + 14*j - 11*j = 0. Which is the nearest to 0? (a) -2 (b) -12 (c) j (d) 0.2
c
Let n = 755 - 749. Which is the closest to -2/3? (a) 4 (b) -7 (c) 3 (d) n
c
Let j(x) = 4*x**2 - 2*x - 3. Let d(u) = 7*u**2 - 4*u - 6. Let w(r) = 3*d(r) - 5*j(r). Let f be w(-2). Which is the nearest to -0.1? (a) -0.4 (b) f (c) 1
a
Let r = 2.2 + -2. Let h = 41/6 + -439/66. What is the nearest to r in h, -4, -1?
h
Let t be (-63)/(-18) - (-119)/(-42). What is the closest to -0.09 in 0.1, t, 0?
0
Let l = 3.0871 + -0.0871. Which is the closest to -1/5? (a) l (b) -2/5 (c) -19 (d) 0.4
b
Let t = -205.7 + 206. What is the closest to t in 0.1, -5/3, 1?
0.1
Let o = -2080/21 - -298/3. What is the nearest to -0.06 in o, 6, -0.5?
o
Let y = 0.7 - -2.5. Let k
|
{
"pile_set_name": "DM Mathematics"
}
|
creasing order.
m, -0.3, -0.4
Let o = 29.254 - 25.2. Let d = o + -0.054. Put 2/11, -14.9, d in descending order.
d, 2/11, -14.9
Let d be (-470)/(-141)*(-93)/(-2). Let u = d - 150. Put 4, u, -1 in descending order.
u, 4, -1
Let b(s) = -1. Let x(j) = -j - 2. Let f(z) = -2*b(z) + x(z). Let a(v) = 2*v**2 + 31*v - 14. Let o be a(-16). Let d be f(o). Sort 3, d, 0, 1 in decreasing order.
3, 1, 0, d
Let b(n) = -7*n**2 - 41*n - 29. Let o be b(-5). Sort o, -1823, 5 in descending order.
5, o, -1823
Let a = 83.9703 - -0.0297. Let s = -16 - -95. Let l = a - s. Sort 0, -4, 0.1, l in increasing order.
-4, 0, 0.1, l
Suppose 5*s + b - 3 = 0, s - 5 = 3*b + 2. Let f(h) = -4*h + 8*h - 5*h + 4*h - s. Let p be f(1). Put 3, -1, p in ascending order.
-1, p, 3
Let b = 500 - 480. Suppose 2*z = -2*z + 4*f - b, 3*f - 1 = -4*z. Sort -78, z, 3, -4 in decreasing order.
3, z, -4, -78
Let r = 274 - 64. Let k = 205 - r. Let j = 151/43 + -1/86. Put k, j, -2/3 in descending order.
j, -2/3, k
Let z be 17/((-102)/(-5))*(-16)/20. Sort -230, 6, z.
-230, z, 6
Let j be 79 + -67 + (-20)/2. Suppose 6 = b - u, -4*b + 7*b = -2*u + 3. Suppose 3*v + 6 = x, 3 = b*x - 2*x - 2*v. Sort j, x, -1, -5 in ascending order.
-5, x, -1, j
Suppose 23*r - 25*r + 24 = 0. Let u be 3/(0 + 9/r). Let k = 155/228 - -4/57. Put -0.2, u, k, -2/17 in increasing order.
-0.2, -2/17, k, u
Let s = 119.62 + -118. Let z = s + -3.62. Sort z, -4, 4/7, 4/5 in descending order.
4/5, 4/7, z, -4
Let q = -0.493 - -254.993. Let n = q - 255. Let d = -12/25 + 123/100. Sort d, -4, n, 2/9 in descending order.
d, 2/9, n, -4
Let j = -16.997 - -17.397. Sort 2/17, 0.2, -3/4, j.
-3/4, 2/17, 0.2, j
Suppose -28*o = 688 - 44. Sort 0.5, o, -0.07 in decreasing order.
0.5, -0.07, o
Let z = -0.5 + 0.9. Let n = 403.9 + -423. Let d = n - -34.1. Sort -3, d, z in ascending order.
-3, z, d
Suppose 0 = 4*r - 2*r - 8. Suppose r*k - 8*k = 0. Suppose k = 2*b - 0*b - 4. Put 0, b, 5 in decreasing order.
5, b, 0
Let y = -0.0326 - -118.8326. Let d = y - 113. Put -1/3, 0.3, d in increasing order.
-1/3, 0.3, d
Let w be (-4)/40*-4*5. Suppose 0 = 4*o - w - 6. Suppose a - o*p - 3*p = 17, 0 = 2*a + 2*p + 2. Sort a, 1, -3 in decreasing order.
a, 1, -3
Let h = 66662.72 + -66662.4. Let q be 3*2*2/(-3). Put 0.1, q, h, -0.5 in descending order.
h, 0.1, -0.5, q
Let r = -9 + 2. Let q be 2/r - (-90)/21. Suppose -2*b - 12 = -2*d, -2*b + 5*d = 18 - 0. Sort b, -3, q in descending order.
q, -3, b
Let n = -0.01102 - -0.11102. Put -7, n, -0.09 in increasing order.
-7, -0.09, n
Let v be (222/259)/((-2)/(-14)). Suppose 0 = -702*j + 696*j - v. Suppose 0 = 5*q + 28 - 8. Put j, q, -2 in descending order.
j, -2, q
Let a = -0.7333 + 15.7333. Sort 1, 5, -0.5, a, -1.9 in ascending order.
-1.9, -0.5, 1, 5, a
Let o = 0.11639 + -0.01639. Sort -1.352, 2/9, o in increasing order.
-1.352, o, 2/9
Let s(l) = -3*l**3 - 3*l**2 - 7 - 20 + 8 + 6*l + 2*l**3. Let d be s(-5). Put 0.8, d, -4/3, -2 in descending order.
d, 0.8, -4/3, -2
Let z = 1246 + -1244. Sort -2, 4, z, 7 in decreasing order.
7, 4, z, -2
Suppose 3*v = 4*v + 1. Let b = 320 - 300.55. Let r = -19.3 + b. Sort 4, v, r, 1.
v, r, 1, 4
Let b(g) = g**2 + 694*g + 6845. Let o be b(-10). Put o, 40, -1, -3, 0 in decreasing order.
40, o, 0, -1, -3
Let o be (1 + -4 - -5)/((-3)/(-6)). Sort 2, 11, -6, o in decreasing order.
11, o, 2, -6
Let p(o) = o**2 + o + 3. Let a be p(-5). Let g(u) = -5*u - 78. Let v be 5733/(-378) - 5/6. Let z be g(v). Put z, a, -2, -5 in decreasing order.
a, z, -2, -5
Let r be -1 + -1 + (-1 - -6). Suppose -m = r*d + 15, 0 = -m + 6*m. Let v = 2/439 + 423/3512. Put v, 1/3, d in increasing order.
d, v, 1/3
Let k be (-15)/(-10) + 1/2. Let c = 19659 + -19656. Let m = 4 + -8. Sort k, c, m in ascending order.
m, k, c
Let q = 21413 - 107059/5. Put q, -431, 1/6 in increasing order.
-431, 1/6, q
Let r be (4/31884)/(16/(-96)). Sort r, 3/7, 1/5, -2/5 in descending order.
3/7, 1/5, r, -2/5
Let j = 183/44 + -54/11. Let f be (-1 - (-21)/24)/(5/(-40)). Sort f, j, 9, 3/4.
j, 3/4, f, 9
Let m = -1 + 4. Let t = m - 2. Suppose -5*s - 18*w + 12*w - 38 = 0, -5*s - 3*w - 29 = 0. Put t, s, -5, 3 in decreasing order.
3, t, s, -5
Suppose 2*k - 2 = p + 7, 0 = -3*k - 3*p + 45. Put 64, k, -6 in ascending order.
-6, k, 64
Let y(x) = -x - 1. Let p be y(-2). Let u(l) = l**2 - 320*l - l**2 + 319*l + 2 - 2*l**3. Let g be u(p). Sort 12, g, -0.2 in decreasing order.
12, -0.2, g
Let u = -457/1353 + 2/451. Sort 7, -2, 0.5, u, 4/5 in ascending order.
-2, u, 0.5, 4/5, 7
Suppose 2*t - 10*q + 2 = -11*q, 5*t - q = -5. Sort 100, -2, t, 0, 11 in descending order.
100, 11, 0, t, -2
Let y be 2/6 - (-2)/12. Let d = 93.41 - 89.8. Let h = d - 3.51. Put y, 2, h in decreasing order.
2, y, h
Let c = 4.97948 + 0.02052. Put -19, -0.4, -13, -1, c in increasing order.
-19, -13, -1, -0.4, c
Let r(i) = i + 2. Let x be r(-2). Let y(z) = 490*z + 20584. Let k be y(-42). Sort k, 3, x, -1.
-1, x, 3, k
Let w = -32793 + 32789. Put w, 0, -3, 4 in increasing order.
w, -3, 0, 4
Let g(l) = -8*l**2 - 40*l - 2. Let c be g(-5). Let m be 2/6 + c/6. Sort m, 4, -4, 14 in ascending order.
-4, m, 4, 14
Suppose -4*c + 21 = -b, c = -0*b + b + 3. Suppose 0 = -11*q + 12*q - c. Sort 4, q, 9 in decreasing order.
9, q, 4
Let r = 12670 - 164712/13. Put 2/3, 0.076, -2, r, -1/3 in increasing order.
-2, -1/3, r, 0.076, 2/3
Suppose -57*l + 61*l = 4. Let r be (0/(3 + (-5 - -1)))/l. Let x = -0.4 - 0. Sort r, x, -0.2.
x, -0.2, r
Let x = 0.2317 + -0.4317. Put 2, 2/7, -5, x in ascending order.
-5, x, 2/7, 2
Let v = 34 - 40. Suppose -5 = o - 4. Put v, o, 5 in decreasing order.
5, o, v
Let f = 79.78 + -79.78. Put -2, -29, -7, f, 0.1 in decreasing order.
0.1, f, -2, -7, -29
Let v = 7541 - 7542.54. Put 1/8, -5, v in descending order.
1/8, v, -5
Let i(u) = -u**2 - 2*u - 2. Let c be i(-3). Let q be ((-256)/(-192))/((-2)/(-51)). Suppose -q*y - 10 = -29*y, 4*y = f - 7. Sort 2, f, c in descending order.
2, f, c
Let x be -104 + 88/8 + 11. Put 5, -3, x in decreasing order.
5, -3, x
Let p = -678 - -676. Sort -6, -3, -8, -15, p in decreasing order.
p, -3, -6, -8, -15
Let j(w) = -3*w**2 + 21*w + 77. Let i be j(-4). Put 3, i, -33 in increasing order.
i, -33, 3
Let r be ((-292)/(-56) + -5)/(12/70). Sort r, -0.05, 65 in decreasing order.
65, r, -0.05
Suppose -2*i + 0 - 6 = 0. Let p = 10.5 + -15.5. Let z = -2.3 + 2. Put 4, p, i, z in descending order.
4, z, i, p
Let b be (4/34)/((-12996)/(-612) - 21). Sort b, -17, 5/6 in decreasing order.
5/6, b, -17
Let x be (12 + 195/(-15))/((-4)/60). Put 4, x, -3, 106 in decreasing order.
106, x, 4, -3
Let d(k) = 3*k**3 + 150*k**2 + 139*k - 388. Let y be d(-49). Sort 9, -5, 53, y in increasing order.
-5, y, 9, 53
Let m = -0.03233 + 6.03233. Let y = 0.1 + 4.9. Sort m, y, -17 in decreasing order.
m, y, -17
Let q = -264 - -263.966. Let m = q + -46.966. Sort 3, -5, m.
m, -5, 3
Let c = -139.8 - 58.2. Let i = c - -202. Put 220, -1/3, i in ascending order.
-1/3, i, 220
Suppose -3*l - 1 = -2*l. Let q = 6924/133 + -2962/57. Put -0.5, q, l in ascending order.
l, -0.5, q
Let u = 3.1 + -4.1. Let l = -206 + 200. Let m = l + 2. Put 1/2, u, m in decreasing order.
1/2, u, m
Let z = -33.19 + 33. Let c = -734 + 734. Let d be (-2)/((-32)/(-70)) - -4. Put -4, c, z, d in decreasing order.
c, z, d, -4
Let d be (4 + (-9196)/(-32))*(-18)/(-7). Let w = d - 748. Sort -1/5, 11/7, w.
-1/5, w, 11/7
Let t be (-1)/(-1 - 0) + 6. Let q be ((-15)/(-4) - 4) + 1. Let y = 11.625 + -10.625. Put q, y, t, 2/5 in descending order.
t, y, q, 2/5
Let x be (4/434)/(-7 + 576/84). Sort 0.2, x, 1/2 in ascending order.
x, 0.2, 1/2
Suppose 209*s = 456*s - 379 - 115. Sort 0, -1384, s in decreasing order.
s, 0, -1384
Let s = 3.02333 + -0.02333. Sort -2, -0.4, 0, s.
-2, -0.4, 0, s
Suppose 4*j = -4*o + j + 9, 3*o + 2*j = 6. Suppose -5*u = -m - 22, 8*u - m = 7*u + 6. Sort u, o, -2, -5 in descending order.
u, o, -2, -5
Suppose 16 = 12*c + 52. Let o be (-10)/(-100)*(-20)/(-2). Sort c, 5, o, -2.
c, -2, o, 5
Let o be ((-44)/198)/(48/(-9) + 6/1). Sort o, 22/19, 0.1 in ascending order.
o, 0.1, 22/19
Let m = -7890 - -7886. Sort -5, m, 4, -76 in decreasing order.
4, m, -5, -76
Let u = 165 - 213. Let h = 49 + u. Sort 2/23, -0.04, h.
-0.04, 2/23, h
Let x = -5.7984 - -0.7984. Sort x, -1, 2, -16, 3.
-16, x, -1, 2, 3
Let n = 4634.19 + -4611. Let s = n + -23. Let u
|
{
"pile_set_name": "DM Mathematics"
}
|
341?
10
What is the remainder when 87866 is divided by 29275?
41
What is the remainder when 10244 is divided by 5?
4
Calculate the remainder when 50894 is divided by 8479.
20
Calculate the remainder when 115928 is divided by 1184.
1080
What is the remainder when 148074 is divided by 18509?
2
Calculate the remainder when 3436 is divided by 455.
251
What is the remainder when 78347 is divided by 81?
20
Calculate the remainder when 4073 is divided by 123.
14
Calculate the remainder when 1468 is divided by 689.
90
Calculate the remainder when 10624 is divided by 588.
40
Calculate the remainder when 94532 is divided by 37.
34
What is the remainder when 40553 is divided by 20271?
11
Calculate the remainder when 4744 is divided by 4733.
11
Calculate the remainder when 3081 is divided by 260.
221
Calculate the remainder when 123508 is divided by 17630.
98
What is the remainder when 141 is divided by 50?
41
Calculate the remainder when 107647 is divided by 841.
840
Calculate the remainder when 1286 is divided by 46.
44
Calculate the remainder when 239228 is divided by 23.
5
Calculate the remainder when 4755 is divided by 73.
10
Calculate the remainder when 467493 is divided by 275.
268
What is the remainder when 46271 is divided by 125?
21
Calculate the remainder when 535678 is divided by 18.
16
What is the remainder when 799213 is divided by 399597?
19
Calculate the remainder when 12545 is divided by 89.
85
What is the remainder when 2591 is divided by 2436?
155
Calculate the remainder when 2888 is divided by 2876.
12
Calculate the remainder when 44521 is divided by 174.
151
Calculate the remainder when 535989 is divided by 19.
18
What is the remainder when 2084 is divided by 430?
364
What is the remainder when 5494 is divided by 21?
13
Calculate the remainder when 10577 is divided by 3515.
32
Calculate the remainder when 109 is divided by 49.
11
What is the remainder when 2316 is divided by 457?
31
Calculate the remainder when 5498 is divided by 1593.
719
What is the remainder when 694162 is divided by 19282?
10
What is the remainder when 3355 is divided by 993?
376
What is the remainder when 54628 is divided by 28?
0
Calculate the remainder when 2530 is divided by 439.
335
Calculate the remainder when 13238 is divided by 43.
37
Calculate the remainder when 1517 is divided by 19.
16
What is the remainder when 348 is divided by 304?
44
What is the remainder when 232578 is divided by 60?
18
What is the remainder when 38554 is divided by 316?
2
Calculate the remainder when 114748 is divided by 2729.
130
What is the remainder when 4751 is divided by 251?
233
What is the remainder when 36906 is divided by 15?
6
Calculate the remainder when 906 is divided by 179.
11
What is the remainder when 102292 is divided by 51129?
34
What is the remainder when 29745 is divided by 6?
3
What is the remainder when 23858 is divided by 955?
938
Calculate the remainder when 484 is divided by 60.
4
Calculate the remainder when 36179 is divided by 108.
107
What is the remainder when 479994 is divided by 1030?
14
What is the remainder when 870247 is divided by 181?
180
Calculate the remainder when 337 is divided by 3.
1
Calculate the remainder when 23276 is divided by 5761.
232
Calculate the remainder when 95010 is divided by 155.
150
What is the remainder when 176916 is divided by 1?
0
Calculate the remainder when 20171 is divided by 960.
11
Calculate the remainder when 2074 is divided by 1654.
420
What is the remainder when 1479123 is divided by 212?
211
Calculate the remainder when 3485 is divided by 192.
29
Calculate the remainder when 767686 is divided by 8.
6
What is the remainder when 3374 is divided by 45?
44
What is the remainder when 113489 is divided by 234?
233
Calculate the remainder when 15346 is divided by 52.
6
Calculate the remainder when 2135 is divided by 274.
217
What is the remainder when 692 is divided by 114?
8
What is the remainder when 73118 is divided by 40?
38
Calculate the remainder when 6400 is divided by 1274.
30
Calculate the remainder when 11491 is divided by 677.
659
What is the remainder when 74061 is divided by 51?
9
What is the remainder when 4401 is divided by 336?
33
Calculate the remainder when 23458 is divided by 5.
3
Calculate the remainder when 13882 is divided by 480.
442
What is the remainder when 61550 is divided by 6155?
0
What is the remainder when 5454 is divided by 4353?
1101
Calculate the remainder when 13161 is divided by 425.
411
What is the remainder when 18403 is divided by 263?
256
Calculate the remainder when 69113 is divided by 157.
33
What is the remainder when 55625 is divided by 26?
11
What is the remainder when 61081 is divided by 2927?
2541
What is the remainder when 4025 is divided by 288?
281
What is the remainder when 15991 is divided by 80?
71
Calculate the remainder when 64212 is divided by 21400.
12
What is the remainder when 33816 is divided by 16875?
66
Calculate the remainder when 16703 is divided by 214.
11
What is the remainder when 3504 is divided by 10?
4
Calculate the remainder when 13536 is divided by 796.
4
Calculate the remainder when 33144 is divided by 124.
36
Calculate the remainder when 1885 is divided by 283.
187
Calculate the remainder when 10092 is divided by 98.
96
Calculate the remainder when 9386 is divided by 4659.
68
What is the remainder when 14105 is divided by 1761?
17
What is the remainder when 12964 is divided by 22?
6
What is the remainder when 5693 is divided by 19?
12
What is the remainder when 7931 is divided by 284?
263
What is the remainder when 1705 is divided by 284?
1
Calculate the remainder when 7675 is divided by 120.
115
Calculate the remainder when 20273 is divided by 6637.
362
Calculate the remainder when 18340 is divided by 3666.
10
Calculate the remainder when 713 is divided by 138.
23
What is the remainder when 8941 is divided by 52?
49
Calculate the remainder when 238139 is divided by 251.
191
Calculate the remainder when 6917 is divided by 51.
32
What is the remainder when 41256 is divided by 51?
48
Calculate the remainder when 570739 is divided by 20.
19
What is the remainder when 2903037 is divided by 210?
207
Calculate the remainder when 12482 is divided by 63.
8
What is the remainder when 39855 is divided by 47?
46
What is the remainder when 26058 is divided by 21?
18
What is the remainder when 160744 is divided by 4344?
16
Calculate the remainder when 1647 is divided by 146.
41
Calculate the remainder when 8275 is divided by 4132.
11
Calculate the remainder when 5234 is divided by 1336.
1226
Calculate the remainder when 8480 is divided by 308.
164
What is the remainder when 50799 is divided by 2426?
2279
Calculate the remainder when 2088 is divided by 1722.
366
Calculate the remainder when 11125 is divided by 13.
10
What is the remainder when 21468 is divided by 20?
8
What is the remainder when 14711997 is divided by 960?
957
What is the remainder when 116745 is divided by 94?
91
Calculate the remainder when 1795305 is divided by 89.
86
Calculate the remainder when 388275 is divided by 407.
404
Calculate the remainder when 1813 is divided by 4.
1
Calculate the remainder when 13213 is divided by 2487.
778
Calculate the remainder when 13202 is divided by 125.
77
Calculate the remainder when 751 is divided by 680.
71
What is the remainder when 13830 is divided by 127?
114
What is the remainder when 1214 is divided by 603?
8
Calculate the remainder when 13564 is divided by 1382.
1126
Calculate the remainder when 5180 is divided by 1294.
4
What is the remainder when 10008 is divided by 902?
86
Calculate the remainder when 514 is divided by 508.
6
What is the remainder when 550076 is divided by 79?
78
What is the remainder when 1777 is divided by 1774?
3
Calculate the remainder when 1109 is divided by 97.
42
What is the remainder when 164589 is divided by 81?
78
What is the remainder when 38501 is divided by 18?
17
What is the remainder when 3104 is divided by 322?
206
What is the remainder when 154388 is divided by 19?
13
Calculate the remainder when 5560 is divided by 126.
16
What is the remainder when 2373 is divided by 421?
268
Calculate the remainder when 2303 is divided by 214.
163
Calculate the remainder when 537094 is divided by 69.
67
What is the rem
|
{
"pile_set_name": "DM Mathematics"
}
|
9
List the prime factors of 419111100.
2, 3, 5, 465679
What are the prime factors of 4576507517?
337, 2341, 5801
What are the prime factors of 11781327?
3, 3927109
What are the prime factors of 18760805?
5, 7, 536023
List the prime factors of 1450277421.
3, 483425807
What are the prime factors of 839408781?
3, 279802927
List the prime factors of 208132899.
3, 13, 5336741
What are the prime factors of 442975070?
2, 5, 41, 929, 1163
List the prime factors of 2428384161.
3, 7, 1303, 88747
What are the prime factors of 67911479?
23, 257, 11489
What are the prime factors of 38499729?
3, 12833243
List the prime factors of 1290051808.
2, 1049, 38431
List the prime factors of 19291489.
7, 719, 3833
List the prime factors of 335313962.
2, 67, 2502343
What are the prime factors of 35682135?
3, 5, 1427, 1667
What are the prime factors of 1092949885?
5, 1303, 167759
What are the prime factors of 755625472?
2, 7, 30119
List the prime factors of 405507921.
3, 7, 13, 157, 9461
What are the prime factors of 8428772113?
829, 10167397
List the prime factors of 317325797.
227, 239, 5849
What are the prime factors of 29162877?
3, 9720959
What are the prime factors of 32434148?
2, 8108537
List the prime factors of 19638451.
7, 17, 227, 727
What are the prime factors of 303236204?
2, 75809051
List the prime factors of 5337861.
3, 1779287
List the prime factors of 1287052129.
11, 117004739
List the prime factors of 276361228.
2, 11, 13, 397, 1217
What are the prime factors of 108868331?
11, 13, 73, 10429
What are the prime factors of 17753104?
2, 29, 38261
List the prime factors of 79653207.
3, 197, 134777
List the prime factors of 75561136.
2, 7, 31, 3109
What are the prime factors of 422033268?
2, 3, 67, 131, 4007
What are the prime factors of 2189121701?
13, 43, 61, 1493
What are the prime factors of 462405862?
2, 373, 641, 967
What are the prime factors of 2519667590?
2, 5, 11, 22906069
What are the prime factors of 473803706?
2, 157, 1508929
List the prime factors of 1701213872.
2, 61, 1743047
What are the prime factors of 54134078?
2, 19, 1424581
List the prime factors of 92659727.
29, 67, 103, 463
What are the prime factors of 3150013001?
23, 136957087
List the prime factors of 34943786.
2, 71, 73, 3371
List the prime factors of 2071266075.
3, 5, 191, 48197
List the prime factors of 179686420.
2, 5, 19, 472859
What are the prime factors of 855091402?
2, 11, 523, 74317
What are the prime factors of 840115303?
37, 22705819
List the prime factors of 5156498315.
5, 727, 1418569
What are the prime factors of 102002098?
2, 11, 4636459
What are the prime factors of 321625310?
2, 5, 31, 137, 7573
What are the prime factors of 267225270?
2, 3, 5, 13, 23, 31
List the prime factors of 194776391.
19, 139, 73751
List the prime factors of 1694823328.
2, 11, 43, 111973
List the prime factors of 55476015.
3, 5, 7, 17, 31079
What are the prime factors of 76998598?
2, 38499299
What are the prime factors of 165106952?
2, 1187, 17387
List the prime factors of 319391295.
3, 5, 31, 686863
List the prime factors of 37725669.
3, 17, 27397
What are the prime factors of 316036008?
2, 3, 23, 190843
What are the prime factors of 26355195?
3, 5, 585671
What are the prime factors of 263052432?
2, 3, 1826753
What are the prime factors of 22743567?
3, 7, 11, 37, 887
What are the prime factors of 290937414?
2, 3, 48489569
List the prime factors of 20227175.
5, 809087
What are the prime factors of 709275615?
3, 5, 17, 769, 3617
What are the prime factors of 731864163?
3, 23, 449, 23623
What are the prime factors of 1082444404?
2, 47, 659, 8737
What are the prime factors of 177012450?
2, 3, 5, 393361
What are the prime factors of 61161103?
877, 69739
What are the prime factors of 5993414848?
2, 5471, 17117
What are the prime factors of 1039220417?
1039220417
List the prime factors of 1839990242.
2, 37, 587, 42359
List the prime factors of 125002908.
2, 3, 61, 56923
List the prime factors of 51953843.
277, 187559
List the prime factors of 389304693.
3, 23, 73, 25763
What are the prime factors of 573337961?
7, 67, 821, 1489
List the prime factors of 3639179359.
3639179359
What are the prime factors of 3647879882?
2, 19, 739, 129901
List the prime factors of 1548269648.
2, 96766853
List the prime factors of 74691378.
2, 3, 109, 38069
List the prime factors of 153613528.
2, 19201691
What are the prime factors of 1375032132?
2, 3, 12731779
List the prime factors of 30401226.
2, 3, 1051, 1607
What are the prime factors of 12406743?
3, 459509
What are the prime factors of 43213520?
2, 5, 7, 77167
List the prime factors of 535343783.
13, 2677, 15383
List the prime factors of 6238384665.
3, 5, 19, 31, 706099
What are the prime factors of 994389003?
3, 2237, 49391
List the prime factors of 22033825.
5, 11, 19, 4217
List the prime factors of 171048352.
2, 5345261
List the prime factors of 108597680.
2, 5, 409, 3319
List the prime factors of 16758017.
53, 316189
List the prime factors of 77582410.
2, 5, 71, 113, 967
List the prime factors of 355753475.
5, 7, 11, 17, 1553
What are the prime factors of 492458340?
2, 3, 5, 11, 19, 173, 227
List the prime factors of 40108323.
3, 13369441
List the prime factors of 43353619.
283, 307, 499
List the prime factors of 209695242.
2, 3, 53, 659419
What are the prime factors of 39752643?
3, 7, 1892983
List the prime factors of 143468850.
2, 3, 5, 7, 139, 983
List the prime factors of 57290466.
2, 3, 523, 18257
List the prime factors of 22652342.
2, 59, 191969
List the prime factors of 32583730.
2, 5, 17, 191669
What are the prime factors of 79590477?
3, 26530159
What are the prime factors of 1310145763?
1310145763
What are the prime factors of 230593478?
2, 115296739
What are the prime factors of 477106670?
2, 5, 421, 113327
What are the prime factors of 56421539?
467, 120817
What are the prime factors of 27161634?
2, 3, 4526939
What are the prime factors of 11073780?
2, 3, 5, 20507
What are the prime factors of 261729813?
3, 87243271
What are the prime factors of 6329234411?
41, 677, 228023
List the prime factors of 310336053.
3, 9851, 10501
List the prime factors of 100424579.
157, 639647
List the prime factors of 20806470.
2, 3, 5, 17, 1511
What are the prime factors of 49798502?
2, 13, 1213, 1579
What are the prime factors of 406875422?
2, 4861, 41851
List the prime factors of 363192243.
3, 121064081
List the prime factors of 963946615.
5, 103, 281, 6661
What are the prime factors of 79413334?
2, 7, 11, 13, 39667
What are the prime factors of 1254443725?
5, 139, 467, 773
List the prime factors of 20406440.
2, 5, 191, 2671
List the prime factors of 137958210.
2, 3, 5, 13, 61, 1933
What are the prime factors of 1340324393?
7243, 185051
What are the prime factors of 14427835?
5, 127, 22721
List the prime factors of 72337988.
2, 18084497
List the prime factors of 389422490.
2, 5, 38942249
What are the prime factors of 5748447439?
7, 17, 227, 241, 883
What are the prime factors of 43210553?
43210553
List the prime factors of 410310331.
410310331
List the prime factors of 144069330.
2, 3, 5, 139, 34549
What are the prime factors of 67471588?
2, 16867897
What are the prime factors of 3178929598?
2, 13, 29, 983, 4289
List the prime factors of 563570843.
11, 47, 239, 4561
What are the prime factors of 155621667?
3, 37, 809, 1733
What are the prime factors of 106546639?
73, 1459543
What are the prime factors of 1025583534?
2, 3, 56976863
List the prime factors of 178567451.
3137, 56923
List the prime factors of 125443586.
2, 19, 3301147
What are the prime factors of 121054703?
7, 11, 53, 29663
What are the prime factors of 156619348?
2, 39154837
What are the prime factors of 443263726?
2, 479, 462697
What are the prime factors of 183439067?
7, 26205581
List the prime factors of 155583574.
2, 1291, 60257
What are the prime factors of 17531933?
1277, 13729
What are the prime factors of 1396744889?
443, 709, 4447
List the prime factors of 297461163.
3, 383, 258887
List the prime factors of 584894025.
3, 5, 23, 113023
List the prime factors of 2088310134.
2, 3, 53, 6567013
What are the prime factors of 9366259?
7, 19, 70423
What are the prime factors of 68858720?
2, 5, 7, 8783
What are the prime factors of 177064489?
7, 516223
List the prime factors of 630563716.
2, 19, 82
|
{
"pile_set_name": "DM Mathematics"
}
|
5*c**2 + c - 1. Let u be h(5). Suppose -s = -64 + u. Does 16 divide s?
False
Let p = -149 - -226. Is 11 a factor of p?
True
Suppose -241 - 35 = -4*d. Is d a multiple of 18?
False
Suppose r = 5*r - 64. Let t = -4 + r. Is t a multiple of 11?
False
Let a(c) = 14*c**3 - c**2 - c + 1. Let f be a(1). Let r = f + -8. Is r a multiple of 5?
True
Suppose 0*j + 4*j = -48. Let b = 18 + j. Is 3 a factor of b?
True
Let x = -18 + 202. Does 23 divide x?
True
Let n(m) = -4*m**3 - m**2 + m - 2. Let p(d) = -d**3 + 4*d**2 - d + 2. Suppose 4*v + 0*i = -3*i + 1, 4*v - 3*i - 31 = 0. Let b be p(v). Is 12 a factor of n(b)?
True
Suppose 8 = -4*o + 24. Suppose 53 = o*i + 5*d, d - 5*d + 27 = i. Is i a multiple of 6?
False
Suppose -t + 5 = -0. Let i(z) = 7*z**2 - 2*z - 47. Let a(c) = -10*c**2 + 3*c + 71. Let d(f) = t*a(f) + 7*i(f). Is d(0) a multiple of 13?
True
Is 16 a factor of (4 - -243) + 5 + -3?
False
Suppose -5*y - 129 = 3*i, i = 2*y - 0*y + 45. Suppose -14 - 302 = 4*v. Let j = y - v. Is 19 a factor of j?
False
Is 4 a factor of (-57)/(-12)*9/((-36)/(-16))?
False
Let j(w) = -w + 0*w + 0*w + 15 - 10. Let i be j(5). Suppose 2*g - 4*q - 52 = i, -2*g - 2*g + 86 = -2*q. Is 10 a factor of g?
True
Let d = 9 + -4. Suppose 5*k + 175 = d*r, 0*k - 3*k = -5*r + 171. Does 11 divide r?
True
Suppose -75 = -2*q + p, -2*q - 5*p + 47 = -10. Is 13 a factor of q?
False
Let d = 157 - 103. Does 18 divide d?
True
Let r(t) = -t**3 - 4*t**2 + 2*t. Is 3 a factor of r(-5)?
True
Let p(w) = -2*w**3 - 2*w**2 + w - 1. Is 3 a factor of p(-2)?
False
Suppose n - 4*y + 1 = -6, -4*y + 25 = n. Let i = 0 - n. Let p(g) = -g**2 - 12*g - 13. Is p(i) a multiple of 6?
False
Let n be (-2)/(-8) - (-435)/20. Let u = 38 - n. Is 16 a factor of u?
True
Let q = -113 + 154. Is q a multiple of 18?
False
Suppose 0*i = -3*i + 177. Suppose j + 21 = -3*m - 47, -m + 3*j = 6. Let x = m + i. Is 22 a factor of x?
False
Let b be (-1)/(-2*(-2)/(-8)). Suppose -b*p = 2*z - 62, -p + 4*p - 4*z - 65 = 0. Is p a multiple of 9?
True
Suppose -505 + 181 = -3*r. Is 27 a factor of r?
True
Suppose -18 = 3*t - 3*q - 276, -q = -5*t + 410. Is 6 a factor of t?
False
Let l(h) be the first derivative of 11*h**3/3 - h + 4. Let x be (-2)/(-1)*1/2. Is l(x) a multiple of 6?
False
Suppose 19 + 2 = t. Is t a multiple of 21?
True
Let o be -87 - 1 - (-5 - -2). Let l = o + 125. Suppose 4*d = -z + 35, z - 2*d - l = -z. Is z a multiple of 22?
False
Suppose 3*w + 3 = -s, -5*s + 2*w + 18 = -3*s. Does 2 divide s?
True
Suppose 262 + 1814 = -4*s. Does 7 divide 4/(-18) + s/(-27)?
False
Suppose 6*w + 399 = 3*k + 3*w, -5*k - 5*w = -635. Is ((-3)/(-2))/(39/k) a multiple of 5?
True
Suppose -5*m + 34 = 4*l, -6*l + 3*m = -l - 24. Suppose 2*p - 26 = -l. Is 10 a factor of p?
True
Let t = 15 - 5. Suppose -5*y + 10 = 5*m - t, m + 8 = 3*y. Suppose -5*w + 2*l + 62 = 0, -y*w - 4*l - 14 = -72. Does 5 divide w?
False
Let f(y) = y**3 + 9*y - 1 - 9*y - y**2. Let l be f(2). Is l/1*(5 + -2) a multiple of 9?
True
Let g(s) = s**3 + 9*s**2 + 5*s - 3. Let q be g(-6). Let b = q - 47. Does 10 divide b?
False
Suppose 4*r + 2*g + 0*g - 204 = 0, 3*r = -2*g + 153. Is 11 a factor of r?
False
Let n = -10 + 13. Suppose -n*c - 292 + 103 = -3*f, 4*c + 191 = 3*f. Is f a multiple of 16?
False
Suppose -3*p + 4 = 2*x, 5*x - 2 = -4*p + 1. Let w be ((-2)/(-4))/(p/4). Does 12 divide 115/5 + 0 + w?
True
Let p(j) = j**3 + 11*j**2 - 5*j - 10. Let m(h) = -h**3 + 7*h**2 - 3*h + 10. Let z be m(7). Does 15 divide p(z)?
True
Is 31 a factor of 3 + (1/4 - (-5313)/44)?
True
Let d = 13 - 14. Let m(h) = -23*h + 2. Does 6 divide m(d)?
False
Let b be (-1 - -2) + (-4 - -23). Suppose 76 = 3*f - 5*m, -7*m + 3*m - b = 0. Is f a multiple of 4?
False
Suppose s - 4*g + 2*g - 70 = 0, 2*g - 58 = -s. Let j = s - 43. Is j a multiple of 10?
False
Let w = 32 + 0. Does 5 divide w?
False
Let u = -60 - -100. Suppose -n - v + 50 = 0, -4*n + 5*n - u = -3*v. Does 18 divide n?
False
Suppose -3*d = -5*j - 149, -d + 0*j + 55 = j. Suppose -z + 47 = p, 3*p + 2*z = d + 90. Is p a multiple of 14?
False
Suppose 0 = -3*c - 2*c + 2*v + 6, -5*c + v + 3 = 0. Does 6 divide 9 + c + 9/3?
True
Let q(d) = d**2 - 4*d - 8. Does 6 divide q(7)?
False
Let w(p) = 21*p - 1. Let r be w(1). Let h(s) = -3*s. Let d be h(-3). Let m = r - d. Is m a multiple of 11?
True
Is (-2)/(266/67 + -4) a multiple of 12?
False
Suppose 0 = 10*v + 117 - 457. Is 5 a factor of v?
False
Let t(a) = -3*a**3 - 3*a**2 - 4*a - 4. Is 31 a factor of t(-3)?
True
Let m(j) = -3*j + 6. Is 5 a factor of m(-6)?
False
Let m(t) = 17*t - 3. Is m(1) a multiple of 12?
False
Let y be (11/(-2))/(2/(-4)). Let j = y - 6. Suppose -3*d - 3*x = -15, -4*d - j = -5*d + 4*x. Is d a multiple of 2?
False
Suppose 0 = -4*k + 2*k - 4. Let f be -11*1 - (-4)/k. Let m = 2 - f. Is 9 a factor of m?
False
Suppose -8 = -f + 3. Let v = f + -4. Does 2 divide v?
False
Suppose -4 = -2*x + 70. Is 10 a factor of x?
False
Let g(r) = -7*r**3 + r**2 - 3*r - 4. Does 29 divide g(-3)?
True
Let o be ((-8)/14)/(2/(-7)). Suppose -2*t - m = -4*m - 55, 2*m + 50 = o*t. Is 10 a factor of t?
True
Let r = 195 - 131. Let b(l) = -l**2 - 18*l + 6. Let o be b(-17). Let n = r - o. Is n a multiple of 16?
False
Suppose m = 3*m - 4*h - 4, 0 = 3*h + 15. Let f = m + 3. Is 64/10 + 2/f even?
True
Let r(j) = 2*j**2 - 2*j + 3. Let c be r(3). Suppose 0 = 3*s - c - 0. Is 2 a factor of s?
False
Let t(a) = -29*a + 1. Let o be t(1). Let z be (o/(-35))/(2/10). Suppose z*r = 2*n + r - 9, 0 = -5*r + 5. Is 3 a factor of n?
True
Suppose -3*d = -0 + 12. Does 16 divide d/5*(-2 - 18)?
True
Suppose 2 + 11 = 4*s - 5*f, 0 = f + 5. Let t be (-16)/s + (-3)/9. Is 1/(((-5)/(-6))/t) a multiple of 6?
True
Suppose -4*d + 502 = -2*g, 3*d - 2*g - 374 = 2*g. Let r = 16 - 11. Suppose -d = -r*j - 1. Is 19 a factor of j?
False
Let l(b) = -b**2 + 3*b + 4. Let d be l(5). Is 27/(-18)*76/d a multiple of 11?
False
Let k = 79 + -36. Is k a multiple of 2?
False
Let l(f) = 5*f**2 - 2*f. Suppose k = -5*v - 0*v + 12, 5*v = k + 8. Does 16 divide l(k)?
True
Suppose -3*h = -4*l + 167, -h = 4*l + 6 - 185. Is l a multiple of 11?
True
Suppose 25*z - 704 = 17*z. Does 11 divide z?
True
Let x be 4/8 + 93/6. Suppose -3*i + x = i. Suppose 2*d - i*t - 8 = 0, -3*t + 2*t = 0. Does 2 divide d?
True
Let m(y) = -2*y - 9. Let i(o) = -o**3 - 8*o**2 - o + 10. Let r be i(-8). Let x = -26 + r. Is 3 a factor of m(x)?
False
Let g = -24 - -41. Is g a multiple of 17?
True
Suppose -3*j + 334 = -0*j + 5*t, -j - 4*t + 102 = 0. Is 24 a factor of j?
False
Let t(n) = 7*n**3 - n**2 - 2*n + 1. Does 4 divide t(2)?
False
Let a = 54 - 101. Does 14 divide (1*-2)/(2/a)?
False
Let l = 151 - 214. Let a = l - -34. Let z = a - -44. Is 5 a factor of z?
True
Suppose 0*s + 4*s - 52 = 0. Let h = s - -24. Is h a multiple of 27?
False
Let y be 3 + (-11 - 1) + 3. Let j be (0 - y/(-2)) + 51. Suppose 5*h - 2*p = 72 + 11, 3*p - j = -4*h. Does 6 divide h?
False
Let r(y) be the third derivative of y**5/15 - y**4/24 - 6*y**2. Is 4 a factor of r(-2)?
False
Let w be ((-28)/20)/((-2)/10). Let i(l) = -l**3 + 7*l**2 - 8*l + 10. Let v be i(w). Does 21 divide 0 - (v + (-2)/(-1))?
False
Suppose 3*m - 5*m + 4 = 0. Suppose -5*k + 12 = -m*k. Suppose k*j - 5*j + 15 = 0. Is j a multiple of 6?
False
Does 48 divide 136 + ((-2)/2 - -3)?
False
Let z(q) = q**2 - 5*q - 6. Let y be z(6). Suppose y = 2*s, -2*g + 3*g = 3*s + 45. Is g a multiple of 27?
False
Let v(i) be the first derivative of -i**3/3 - 15*i**2/2 - 2*i - 2. Does 19 divide v(-7)?
False
Suppose 0 = -3*t + 2*t - 7. Let r(c) = c**3 + 7*c**2 - 6*c + 6. Is 24 a factor of r(t)?
True
Does 11 divide 3 + 1 - 4 - 3*-7?
False
Let f(b) = 28*b**3 - b. Does 4 divide f(1)?
False
Suppose -q - 4*v = -90, 132 = 2*q + 3*v - 7*v. Suppose -239 = -5*g + r, 2*r + 158 = 5*g - 80. Let i = q - g. Is i a multiple of 13?
True
Let n(d) = 8*d**3 + d**2 - d - 2. Let c be n(2). Suppose -3*r + 2*r + c = 0. Does 20 divide r?
False
Is (-18)/(-7)*(-3 - (-7 + -3)) a multiple of 9?
True
Let q(j) = -79*j - 4. Is q(-1) a multiple of 9?
False
Let p(r) = -r**2 - r - 1. Let a(s) = -3*s**2 + 2*s + 2. Let o(g) = -a(g) + 2*p(g). Let v = -9 + 15. Is 3 a factor of o(v)?
False
Let r(a) = a**3 + 8*a**2 - a + 5. Let t(q) = 4*q + 4. Let g(j) = -2*j + 5. Let u be g(4). Let x be t(u). Is r(x) a multiple of 4?
False
Let b(g) = -12*g. Let f(r) = 36*r - 1.
|
{
"pile_set_name": "DM Mathematics"
}
|
*sqrt(425))**2.
-4*sqrt(17) + 1977
Simplify -6*sqrt(192)*2 + (-2 + -2 + sqrt(192) - sqrt(192)).
-96*sqrt(3) - 4
Simplify (4 + sqrt(700)*2)**2.
160*sqrt(7) + 2816
Simplify (sqrt(1053)*1)**2*-6*5*4.
-126360
Simplify ((sqrt(240)/(sqrt(8)*-1))/sqrt(96))**2.
5/16
Simplify 5 + 3*(sqrt(7)*1 + sqrt(7)).
5 + 6*sqrt(7)
Simplify sqrt(48) + -5 + 3.
-2 + 4*sqrt(3)
Simplify (3 + sqrt(48) + 0 + sqrt(300))*-5.
-70*sqrt(3) - 15
Simplify (-4*sqrt(78)*2)/(4*-2*sqrt(6) - sqrt(6)).
8*sqrt(13)/9
Simplify (sqrt(768) - 2*sqrt(108))**2.
48
Simplify (1 + sqrt(14)/((sqrt(22)*-3)/sqrt(11)))**2.
-2*sqrt(7)/3 + 16/9
Simplify (2*sqrt(6)*-2)/(sqrt(22)/(sqrt(44)/sqrt(4))).
-4*sqrt(3)
Simplify sqrt(121)/(sqrt(99)*-3) + -3.
-3 - sqrt(11)/9
Simplify (sqrt(300) + sqrt(3))**2*-1*5.
-1815
Simplify (4 + -5 + ((sqrt(105)/sqrt(3))/sqrt(7) + sqrt(5) - sqrt(5)))**2.
-2*sqrt(5) + 6
Simplify ((sqrt(11) - sqrt(110)/sqrt(40))*5)**2.
275/4
Simplify (4 + (sqrt(252) - sqrt(252)*5) + 5)**2.
-432*sqrt(7) + 4113
Simplify 0 + (sqrt(5) - (sqrt(5)*2)**2) + (2 + sqrt(80))**2.
17*sqrt(5) + 64
Simplify ((sqrt(882) - (sqrt(882)*-3 + 1) - sqrt(882)) + sqrt(882))**2.
-168*sqrt(2) + 14113
Simplify (sqrt(55) - sqrt(220)/(sqrt(12)/sqrt(3)))/sqrt(11).
0
Simplify ((sqrt(378) + (sqrt(378)*2 - sqrt(378)))/(sqrt(30)/sqrt(5)*-2))**2.
63
Simplify sqrt(5) + (((sqrt(60)/sqrt(6))/sqrt(2))**2 - sqrt(5)) - (sqrt(180) + 1)**2.
-176 - 12*sqrt(5)
Simplify (sqrt(1008)*1 + sqrt(7))**2 + (sqrt(7) - sqrt(56)/sqrt(2)) + sqrt(7)*1*-3*-5.
14*sqrt(7) + 1183
Simplify (sqrt(6)/sqrt(2) + 0 - ((sqrt(21) - sqrt(336))/sqrt(7))**2)*-4.
-4*sqrt(3) + 108
Simplify (-4 + sqrt(95)/sqrt(5) + sqrt(19))**2 - sqrt(76)*-3.
-10*sqrt(19) + 92
Simplify (2*sqrt(880) - sqrt(880))/(sqrt(11)*-2*3).
-2*sqrt(5)/3
Simplify (sqrt(11) + 1)*-2 + 0 + sqrt(22)/sqrt(2) + sqrt(11).
-2
Simplify sqrt(68) + -4 + -3 + sqrt(34)/sqrt(2).
-7 + 3*sqrt(17)
Simplify (-1 + (2 + sqrt(28) + sqrt(28))*2)**2.
48*sqrt(7) + 457
Simplify -4*(sqrt(208) - sqrt(208)*-3*-3).
128*sqrt(13)
Simplify (5 + (sqrt(133)/(sqrt(7)*3) - sqrt(19)))**2.
-20*sqrt(19)/3 + 301/9
Simplify (sqrt(300)/(sqrt(24)/sqrt(2)))/(sqrt(605)*-2).
-sqrt(5)/22
Simplify ((sqrt(76) + 0)*6 - (sqrt(76) + sqrt(76) + (sqrt(76) - (sqrt(76) + -1 + sqrt(76) + -1))))**2.
-40*sqrt(19) + 1904
Simplify (sqrt(21) + sqrt(189))/sqrt(3) + -2 + sqrt(175).
-2 + 9*sqrt(7)
Simplify (2*sqrt(1200) - sqrt(1200))/(sqrt(8)/(sqrt(2)*-2)).
-20*sqrt(3)
Simplify 2*sqrt(240)/sqrt(5) + sqrt(48).
12*sqrt(3)
Simplify -2*sqrt(432)*1.
-24*sqrt(3)
Simplify 3*(sqrt(19) + (sqrt(2299) + -1*sqrt(2299) + sqrt(2299))**2).
3*sqrt(19) + 6897
Simplify (2*sqrt(38)*-3 - sqrt(38))/(sqrt(2) + 3*sqrt(2)*2 + sqrt(2)).
-7*sqrt(19)/8
Simplify -6*-4*sqrt(2)*-3*3.
-216*sqrt(2)
Simplify 4 + (sqrt(19) + -3*(-3 + sqrt(19)) - sqrt(19)).
-3*sqrt(19) + 13
Simplify (sqrt(28)/(sqrt(4) + sqrt(4)*2))**2 - (sqrt(567) - sqrt(567)*-2).
-27*sqrt(7) + 7/9
Simplify (3*sqrt(132)*-6)/sqrt(12) + 1.
-18*sqrt(11) + 1
Simplify sqrt(33)/((sqrt(3) - sqrt(3)*-2) + sqrt(3)) + (-2 + sqrt(11))*3.
-6 + 13*sqrt(11)/4
Simplify -6*((sqrt(11) + sqrt(11)*-2)*-1 + -1).
-6*sqrt(11) + 6
Simplify sqrt(52)/(sqrt(12)/sqrt(3))*5 - (sqrt(52)/(2*sqrt(64)))**2.
-13/64 + 5*sqrt(13)
Simplify (5 + sqrt(32))**2 - (sqrt(2) + sqrt(288) + (sqrt(288)*1)**2).
-231 + 27*sqrt(2)
Simplify (sqrt(20) - (sqrt(720) + (sqrt(720) - (sqrt(720)*-3 - sqrt(720)))) - sqrt(20))/sqrt(10)*2.
-72*sqrt(2)
Simplify sqrt(1539) + sqrt(1539) + (2 + sqrt(1539))**2 + 1.
54*sqrt(19) + 1544
Simplify 5 + sqrt(7) + sqrt(7) + 6*sqrt(35)/sqrt(5) + (-3*sqrt(14))/sqrt(2).
5 + 5*sqrt(7)
Simplify (sqrt(8) + sqrt(8) + sqrt(8)*1 + -3)**2*2.
-72*sqrt(2) + 162
Simplify 5*(sqrt(49)/sqrt(7)*-6)**2.
1260
Simplify sqrt(38)/(2*sqrt(2) - sqrt(2)) + sqrt(1900)*-2.
-19*sqrt(19)
Simplify (-2*sqrt(35)*-1)/(sqrt(7) - sqrt(77)/(sqrt(11) + sqrt(11)*3 + sqrt(11))).
5*sqrt(5)/2
Simplify sqrt(57)/(-5*sqrt(3)*-1).
sqrt(19)/5
Simplify (sqrt(99)/((sqrt(3) - -2*sqrt(3) - sqrt(3)) + sqrt(3) + sqrt(3)) + sqrt(33))/(sqrt(11) + 2*sqrt(396)).
5*sqrt(3)/52
Simplify (sqrt(132) - ((1*sqrt(132)*-1 - sqrt(132)) + sqrt(132)))/(sqrt(132)/(-2*sqrt(11))).
-4*sqrt(11)
Simplify ((sqrt(136) + (sqrt(136) + -2*sqrt(136) - sqrt(136)))*2)/((sqrt(64) - (sqrt(64) + (sqrt(64)*-2 - sqrt(64))))/sqrt(8)).
-2*sqrt(17)/3
Simplify sqrt(136)/(-2*sqrt(968))*-1.
sqrt(17)/22
Simplify (sqrt(5) - (sqrt(25)/sqrt(5) + 0 + sqrt(5) - sqrt(5)) - (sqrt(245) + 1 + sqrt(5)))**2.
16*sqrt(5) + 321
Simplify (-1 + (sqrt(19) - (sqrt(133)/sqrt(7) + sqrt(19))) - ((sqrt(171) + sqrt(171)*-5)/sqrt(9) - sqrt(19)))**2.
-8*sqrt(19) + 305
Simplify (sqrt(66) + 3*sqrt(66)*-4)/(sqrt(864)*3 - sqrt(864)).
-11*sqrt(11)/24
Simplify (sqrt(19)*-1*2*6 + (-2*sqrt(931) - sqrt(931)) + 4)**2.
-264*sqrt(19) + 20707
Simplify (6*sqrt(432))**2.
15552
Simplify 0 + sqrt(2)*1 + -4.
-4 + sqrt(2)
Simplify (sqrt(816)*-2)/((-2*sqrt(30))/sqrt(10)).
4*sqrt(17)
Simplify (2*sqrt(143)/sqrt(44)*-5)**2.
325
Simplify (-1*sqrt(275) + -3)**2 + (1*sqrt(275))**2 + 0.
30*sqrt(11) + 559
Simplify ((0 + sqrt(272))*4 + 3)**2.
96*sqrt(17) + 4361
Simplify 1 + sqrt(14)/sqrt(7)*4.
1 + 4*sqrt(2)
Simplify 6*(1*sqrt(112)*-1 + sqrt(112))**2 + 2.
2
Simplify -3 + sqrt(2) + (-3*sqrt(162))**2 + (-2*sqrt(20))/sqrt(10).
-sqrt(2) + 1455
Simplify (sqrt(147) - ((sqrt(147) - (-2*sqrt(147) - sqrt(147))) + sqrt(147)))**2 - -2*sqrt(12).
4*sqrt(3) + 2352
Simplify (sqrt(42) - (sqrt(126)/sqrt(3) - sqrt(42)))/sqrt(6) + sqrt(42)/(sqrt(54)/sqrt(9)).
2*sqrt(7)
Simplify (-4*sqrt(1573) - (sqrt(13) - -4*sqrt(13)*3))**2.
42237
Simplify (-1*(sqrt(68)*-3 + sqrt(102)/(-2*sqrt(6))))**2.
2873/4
Simplify (sqrt(832) + sqrt(832) + -2 + sqrt(832))**2 + (-2 + sqrt(832))**2.
-128*sqrt(13) + 8328
Simplify -4*(sqrt(1100)/sqrt(4))**2*-1.
1100
Simplify (sqrt(128) + 0)**2 - sqrt(72)*-2.
12*sqrt(2) + 128
Simplify -2 + (4 + sqrt(320) - ((sqrt(20) - sqrt(40)/sqrt(2))*-4)**2).
2 + 8*sqrt(5)
Simplify 2*3*(sqrt(2) + -2 + (sqrt(8)/sqrt(4) + sqrt(2))**2 + sqrt(2)).
12*sqrt(2) + 36
Simplify (-6*(-3*sqrt(288) + 3))**2.
-7776*sqrt(2) + 93636
Simplify (-3 + (sqrt(5) - (sqrt(5) + (sqrt(50)/sqrt(2))/sqrt(5))))*4.
-12 - 4*sqrt(5)
Simplify (sqrt(2) - (sqrt(2) + (-5*(sqrt(2) + (sqrt(32) + sqrt(2) - sqrt(2))))**2) - sqrt(2))*6.
-7500 - 6*sqrt(2)
Simplify sqrt(2) + (sqrt(18))**2 + 3 - (sqrt(72)/sqrt(3))/sqrt(12).
21
Simplify (-1 + sqrt(252) + -3 - (sqrt(252) - (-3 + 1*sqrt(252))))**2.
-84*sqrt(7) + 301
Simplify 1 + (-1*sqrt(2448))**2 + 1.
2450
Simplify 4*(sqrt(272)*1)**2.
1088
Simplify (sqrt(704) + -2*sqrt(704) + 1)**2.
-16*sqrt(11) + 705
Simplify sqrt(63)/(-2*sqrt(36)/sqrt(4)).
-sqrt(7)/2
Simplify -5*-2*(sqrt(76)*5 + sqrt(19) - ((sqrt(114)/sqrt(2))/sqrt(3) + sqrt(19))).
90*sqrt(19)
Simplify (sqrt(204)/sqrt(4)*-2)/(-2*(sqrt(3) - (sqrt(3) + sqrt(9)/sqrt(3))) + sqrt(3)).
-2*sqrt(17)/3
Simplify sqrt(2) - sqrt(12)/(-2*sqrt(6)) - -5*(sqrt(32))**2.
3*sqrt(2)/2 + 160
Simplify (sqrt(132)*-3)/sqrt(12) + -2.
-3*sqrt(11) - 2
Simplify (4 + sqrt(7) + 2 + -5)**2*-3.
-24 - 6*sqrt(7)
Simplify sqrt(1053) + 4 + sqrt(1053) + 2*sqrt(1053) + sqrt(1053).
4 + 45*sqrt(13)
Simplify -4 + (sqrt(33) + sqrt(99)/sqrt(3)*-6)/sqrt(11).
-5*sqrt(3) - 4
Simplify 1 + -1*sqrt(7) + -4.
-3 - sqrt(7)
Simplify (sqrt(209) - (sqrt(209) + sqrt(209)*3))/sqrt(11) - (sqrt(76) + 1).
-5*sqrt(19) - 1
Simplify (-5 + sqrt(117) + 1*sqrt(26)/sqrt(2))**2.
-40*sqrt(13) + 233
Simplify (-1*(-1 + sqrt(833)))**2.
-14*sqrt(17) + 834
Simplify (sqrt(77)/((sqrt(77) + (sqrt(77) - (sqrt(77) + sqrt(77) + sqrt(77)*-1) - sqrt(77)) + sqrt(77) - sqrt(77))/sqrt(11) + sqrt(7))*5*4)**2.
4400
Simplify (5 + -5*sqrt(1900) + 5)**2.
-1000*sqrt(19) + 47600
Simplify 4*(sqrt(468) + -1)*-5.
-120*sqrt(13) + 20
Simplify ((-6*-3*sqrt(77))/sqrt(11))**2 + -3.
2265
Simplify (sqrt(228) - (sqrt(228) - (sqrt(228) + (sqrt(228) - (sqrt(228) - -6*sqrt(228)*-3)))))/(sqrt(12) - (sqrt(192)/sqrt(4) + sqrt(12))).
-19*sqrt(19)/2
Simplify 4 + sqrt(13)*-5 - (sqrt(26)/sqrt(2) + 4).
-6*sqrt(13)
Simplify (sqrt(13) + -1 + 4)**2 - ((sqrt(78)*3)/sqrt(6))**2.
-95 + 6*sqrt(13)
Simplify 6*(1*sqrt(500) + (sqrt(5) + -1)*-1)**2.
108*sqrt(5) + 2436
Simplify 3 + sqrt(187)/(-2*sqrt(11)*-1) + 4.
sqrt(17)/2 + 7
Simplify (sqrt(612) + 2 + 3)**2.
60*sqrt(17) + 637
Simplify sqrt(10)/(sqrt(162)*2 - sqrt(162)).
sqrt(5)/9
Simplify (sqrt(170) + (sqrt(170) + (sqrt(1
|
{
"pile_set_name": "DM Mathematics"
}
|
((-80)/((-48000)/75))?
-21
Calculate ((-54)/15*(-86)/774)/(-4*3/150).
-5
What is ((-555)/740)/(-12*(-88)/512)?
-4/11
What is the value of (-2175)/(-580)*28*4/(-160)*4?
-21/2
Evaluate 8/14*29106/(-48048)*12/9.
-6/13
Calculate ((-102)/(-2))/((12*(-28)/1008)/(2/6)).
-51
Evaluate 56/(-308)*(-1320)/168.
10/7
(-6)/(-9)*-99*(-12)/48*-2*2
-66
Evaluate (12/(396/55))/(40*5/4080).
34
What is the value of 4/21*(-181)/((-2534)/105)?
10/7
What is the value of (-29*160/3480)/(-6*2/(-3))?
-1/3
What is the value of (-2*(-155)/25)/(7/(-5)*30/105)?
-31
What is 5/3*1922/(-14415)?
-2/9
(-159804)/(-26055)*6/(-8)
-23/5
Evaluate ((-60)/90*-150)/(39/(-39)).
-100
What is 672/(-140)*14440/(-1083)?
64
-3*(-184)/5589*18
16/9
Evaluate (-5040)/1344*((-35)/(-15))/((-18)/(-216)).
-105
-186*(48/216)/((-8)/(-3))
-31/2
Calculate (((-2)/12)/(240/288))/((-244)/74420).
61
((-5)/(90/168))/(15/(-135))
84
What is the value of (8/(2720/204))/3?
1/5
What is the value of (2*13)/((7*45/525)/((-54)/45))?
-52
Calculate (-53*14/6678)/(-2*(-2)/(-72)).
2
What is 153*(-8)/(-3096)*43?
17
What is the value of (58/3335)/(14*(-9)/(-90))?
2/161
((-70)/21)/(9090/133623)
-49
What is (88/1716)/(24/(-546))?
-7/6
Calculate ((-6904)/151888)/(46/(-66)).
3/46
What is the value of (-10)/(-170)*(138/621)/(-34*(-3)/(-54))?
-2/289
Evaluate ((-675)/(-750))/(1/((-6)/(-3)))*350/(-462).
-15/11
Evaluate (96/(-25))/((-15696)/(-196200)).
-48
What is the value of 12/(-270)*-18*(-495)/1287?
-4/13
((-3144)/(-655))/((39/130)/((-6)/56))
-12/7
Calculate (-6)/10*(-615)/2952*140/15.
7/6
What is (52/65)/(5548/1825)?
5/19
What is (12/5)/(((-404424)/(-410))/137)?
1/3
What is the value of ((-2316)/386)/(1176/(-12))?
3/49
What is 448/(-96)*4*(-27)/84*74/12?
37
What is the value of 5/(15/5*-1)*(-384)/20?
32
What is the value of 27/3*((-4)/(-30))/(474/20935)?
53
What is (15860/(-6100))/(91/(-630))?
18
What is ((357/442)/21)/(12/78)?
1/4
288368/(-360460)*((-2)/3)/(56/30)
2/7
(2/(-32))/(27*(-28)/(-2520)*(-5)/18)
3/4
Evaluate 49/(-21)*((-12948)/(-14))/(-26).
83
Calculate (62/(-6696))/((-13)/312).
2/9
Evaluate (2*2)/(4588/(-24087)).
-21
What is ((-66)/(-11))/(19/((-855)/(-18)))?
15
What is the value of (30/8)/((5459/103)/424)?
30
Evaluate 340/51*(-144)/320*5.
-15
What is the value of (2/36)/(((-5)/(150/45))/(252/(-112)))?
1/12
Calculate (19*30/1995)/(((-6)/(-2))/9*-3).
-2/7
Evaluate (-17170)/(-2727)*(-6)/(-17).
20/9
Evaluate ((297/(-18))/11)/((-598)/(-92)).
-3/13
What is (3/(-1))/(8/6*4419/(-27496))?
14
(-201)/((-30)/20*-2)
-67
8/6*68*330/(-164560)
-2/11
Evaluate ((-156)/(-10))/(111342/53020*2/(-5)).
-130/7
What is (-483)/(-92)*6240/(-468)?
-70
What is (405/2)/3*((-4550)/(-273))/(-25)?
-45
(-2170)/35*(-748)/2108
22
Evaluate (10824/(-656))/((-9009)/210).
5/13
Calculate (9*38/(-855))/((-17)/(-425)).
-10
Calculate ((-27)/15)/(22308/1320*(-2)/13).
9/13
(3/((-15)/(-590)))/((-46)/23)
-59
Calculate -376*(8/(608/(-266)))/(-14).
-94
Evaluate -36*4/4644*(-3)/(-1).
-4/43
Evaluate ((-4)/(-1))/(((-8692)/901)/41).
-17
What is the value of -35*(-13)/(-130)*1*24?
-84
What is the value of (-5)/((-14)/(-244)*(-6400)/4480)?
61
(-1)/(-2)*(-2295)/(-3570)*16/(-12)
-3/7
Calculate (-2*9/4)/(231/((-92400)/1000)).
9/5
What is the value of 230/(-805)*(-777)/6?
37
Evaluate 63/(-1560)*-26*(-30)/18.
-7/4
Calculate 3*(187/(-99))/(22/(-1980)*6).
85
-2*-10*8/200*1240/(-16)
-62
What is ((-1647)/(-18666))/(24/(-340)*-10)?
1/8
Evaluate ((8/18)/(230/759))/((-12)/30).
-11/3
Calculate 21/(-7)*5*(-1620)/(-450).
-54
Evaluate 32319/(-1134)*2/(-57).
1
Evaluate ((-39)/(-4095)*-45)/((-54)/28).
2/9
(-105)/91*104754/(-1422)
85
Evaluate ((-675)/3375)/(91/35).
-1/13
(228/(-646))/(27/(-1836))
24
Calculate (9/180*4)/(-2*18/3060).
-17
Evaluate ((-1395)/84)/(-155)*5*-78*(-12)/(-90).
-39/7
(12/5)/((-34)/((-4556)/67)*6/20)
16
(99/231)/((-405)/945)
-1
Calculate ((-16)/185*-37)/((-8)/(-70)).
28
Evaluate 216/(-90)*-13*(-80)/(-3328).
3/4
What is 86/(-141427)*13*(-66)/72?
1/138
Calculate 1*9*-50*(-16)/(-384)*(-8)/10.
15
What is (-14*24/224)/((-12)/(-16)*4)?
-1/2
Evaluate (-408)/510*(-125)/(-26)*26.
-100
What is ((-26)/15)/((-2920)/(-4380))?
-13/5
Evaluate (-144)/48*(2/1)/(-18)*(-93)/434.
-1/14
Evaluate (23240/2905)/((-8)/117).
-117
Calculate (-6)/((-930)/(-403))*10/2.
-13
Evaluate 87/(-2)*(21*(-122)/(-5124))/(3/(-8)).
58
What is the value of ((-18)/(-21))/((-954)/(-27825))?
25
(60/(-190))/(21/(-399))*2*(-116)/(-16)
87
What is the value of (-10)/(-2)*41*1*(8330/(-350))/(-119)?
41
Calculate (57/(-1482)*52)/(19/1).
-2/19
Evaluate (((-1116)/180)/(19/57))/((-2)/(-10)).
-93
Calculate ((-3030)/(-15150))/((-17)/(-10)).
2/17
Evaluate (90/10)/((-2)/((-120)/(-10))).
-54
What is (329*6/168)/(((-1)/4)/((-54)/54))?
47
Calculate (7/3)/(((-140)/(-8))/(-5))*30*2.
-40
Calculate 10/32*(-49)/((-882)/24).
5/12
Calculate ((-4448)/(-13344))/((-10)/(-402)).
67/5
What is (39/(16380/(-40)))/((319/(-693))/29)?
6
Evaluate ((-1)/(-76))/((11235/428)/35).
1/57
Calculate -35*((-20)/(-98))/(1055/2954).
-20
What is the value of (-135)/90*8960/420?
-32
What is the value of (-1)/(((-194)/183912)/((-7)/(-84)))?
79
What is (9/15)/((-34)/(-260)*52)?
3/34
Calculate 3*(-8)/(-84)*1162/(-415).
-4/5
Calculate (1224/36)/((-6)/27*1296/(-1152)).
136
What is (-62)/((-830)/249*15/(-50))?
-62
Evaluate (-4)/(-32)*(-2)/(-26)*(-510)/(-255).
1/52
591963/(-127992)*-4*(-2)/(-1)
37
Calculate ((-45)/90)/((-16)/1248).
39
(((-1749)/(-36))/11)/(178/425064*199)
53
(-15)/(-8)*166848/295460
18/17
((-63)/18)/(-7)*(-16)/4*(-120)/(-32)
-15/2
Evaluate (-11*4/660)/((-21)/(-126)).
-2/5
What is (-1*(8/4)/2)/(6/210)?
-35
What is 2/(-365)*(-160)/48*(-774)/(-344)?
3/73
Calculate (10285/2805)/((-33)/(-378)).
42
What is (860/688)/(20*-1)?
-1/16
(((-90)/(-4))/(-1))/((242/(-5203))/(20/(-215)))
-45
What is 50/((-150)/27)*(-9)/((-27)/(-16))?
48
What is the value of 11*7/(-77)*3/(-21)?
1/7
Evaluate (-108)/((-2)/(-2))*(-8)/(-12).
-72
Calculate (((-1027)/(-52))/(-79))/(1/(-14))*20/14.
5
Calculate ((-4)/(-68))/(755/513400).
40
Evaluate ((-143)/1859)/((-13)/(-26)).
-2/13
What is the value of (31/1209*-767)/(2/6)?
-59
(-474)/(-237)*294/(-12)
-49
What is the value of (6/4)/(13/26)*464/25752?
2/37
(((-30)/(-5))/6*1/(-3))/(19/2394)
-42
What is ((1/(-5))/((-27)/((-2025)/30)))/((-2)/240)?
60
Evaluate (1/23)/(285/6555).
1
Evaluate 1*(-27)/486*9*68.
-34
What is 3/(159/(-583))*-1?
11
What is -29*108/921591*22/4?
-2/107
What is the value of (-17)/(680/(-50))*(-350)/(-250)?
7/4
Evaluate ((-117)/(-65))/((-1071)/833).
-7/5
What is the value of 78/(676/(-26))*164/12?
-41
Calculate ((-1)/(-3))/(1170/(-4420)*(4/(-27))/2).
17
(-680)/1190*(-25)/(-5)
-20/7
((-2)/10)/(558/3162*1/3)
-17/5
What is ((-224840)/(-66))/(-511)*15/(-4)?
25
Calculate (((-40)/10)/(-4))/((-3)/6).
-2
Calculate ((-2948)/(-10318))/((-5)/14).
-4/5
Calculate ((-35040)/(-75920))/((-3)/156).
-24
Calculate ((2/(-56))/(1536/2048))/(2/(-18)).
3/7
Evaluate -16*-25*(-6)/(-4)*4/(-30).
-80
What is the value of 23*-25*(-32)/(-3200)?
-23/4
Evaluate ((20/3)/5)/(176/(-22)*(-17)/4).
2/51
Evaluate (1*36/(-75))/(2499/(-62475)).
12
What is the value of (((-56)/84)/(40/(-36)))/(12/(-60))?
-3
What is the value of (12/4)/(1*(-96)/(-736))?
23
Calculate (((-147)/63)/((-12)/(-36)))/(-119).
1/17
What is ((-871401)/39790)/((-3)/(-10))?
-73
What is the value of (-2)/(-2)*36/(-12)*170/5610?
-1/11
-14*(-5)/28*-10*1/(2*-2)
25/4
1/(((-162)/243)/(104/3)*40/50)
-65
(5512/(-795))/104*66/2
-11/5
Calculate ((-27)/144)/(((-11)/22*-9)/114).
-19/4
Evaluate 3/1*39*(-55)/10010*50/(-9).
25/7
Calculate (28/120*35)/(51/306).
49
What is the value of 1*-4*70368/8796?
-32
Calculate 16*1/20*(-395)/(-11692)*(-6)/(-1).
6/37
(-120)/546*95212/(-18310)
8/7
((-10)/(-5))/(((-7)/(-4))/(12/27456*-22))
-1/91
What is the value of ((-5)/(-42))/((-138)/(-828))*(-3)/15?
-1/7
What is ((-165)/(-652740)*-230)/(3/(12/(-5)))?
2/43
What is the value of (-10967)/11964*(-10)/(-22)?
-5/12
What is (((-18)/120)/((180/(-48))/(-5))*0)/5?
0
268/28341*(-27)/(-24)*-4
-2/47
What is (6/225)/(((-961)/93)/(-31))?
2/25
Evaluate (-10)/(18/(2520/(-385))*(-5)/(55/(-2))).
20
What is (3/(-11))/(1205/26510)?
-6
Calculate (12/2014)/(120*(-81)/(-123120)).
4/53
What is the value of (55/(-6))/(410190/369171)?
-33/4
Evaluate ((-149085)/(-19878))/((-30)/28).
-7
What is 132*(((-208)/390)/((-2)/(-3)))/(40/(-25))?
66
Wha
|
{
"pile_set_name": "DM Mathematics"
}
|
2 + 3)*(4*o**3 - 23*o**3 - 8*o**3).
135*o**3
Expand (-h + h + 3*h)*(0 + 1 - 2)*(2 - 5 + 4)*(3 - 1 - 1).
-3*h
Expand (-12*d - 35*d + 11*d)*(-2 + 2*d**3 + 2 + (-2*d**2 + d**2 - d**2)*(-1 + 1 + 2*d)).
72*d**4
Expand -d**5 + 4*d**5 - 2*d**5 + (d**3 + 4*d**3 - 3*d**3)*(-2*d**2 + d**2 + 3*d**2) - 3*d**5 + d**5 + 4*d**5 - 9 + 3 - 946*d**5 + 6.
-939*d**5
Expand (0 + 13 - 4 + 0)*(j**4 - 2*j**4 - j**4 - 2*j**2).
-18*j**4 - 18*j**2
Expand ((-5*t + 2*t + t)*(3 - 5 + 0) + 9*t + 10 - 10)*(-7*t + 7*t + 7*t).
91*t**2
Expand (q + 5*q - 5*q + (1 + 3 - 2)*(-207 + 20*q + 207))*(0 + 0 - 5*q).
-205*q**2
Expand (2*h + h - h)*(h**3 + 4 - 4) + (1 - 1 + 2)*(-7536*h**3 - 58*h**4 + 7536*h**3).
-114*h**4
Expand (-9*u - 71*u + 4*u)*(0*u - u + 3*u)*(-3 - 2*u + 3).
304*u**3
Expand -2*x**4 + x**2 - x**2 + 17 - 17 - 6*x**4 + 3*x**4 - 6*x**4 + 4*x**4 + (1 + 0 - 3)*(3*x + 5*x**4 - 3*x).
-17*x**4
Expand -6*w**3 + 45*w**2 - 45*w**2 + (-39*w - 32*w + 59*w)*(2*w**2 - w**2 + 0*w**2).
-18*w**3
Expand (0*b + 2*b - b)*(b + 2*b + 0*b + b + 5*b - 5*b + (b - 2*b + 2*b)*(0 + 4 - 3) + 0 - b + 0 - 3*b + 0*b + 0*b).
b**2
Expand (0 - 2 + 0)*(-1 + 5 - 5)*(8*c**2 + 77*c**2 - 19*c**2).
132*c**2
Expand (2*a**2 + a**2 - 5*a**2)*(2*a + a - 5*a) + 2*a**3 - 4 - 12 + 14 + 2*a**2 - 2*a**3 - 2*a**2 + a**3 + 0*a + 0*a + (-a**3 - a**2 + a**2)*(3 - 1 - 4).
7*a**3 - 2
Expand -29*b**5 + 32 - 32 + (0*b**2 + 2*b**5 + 0*b**2)*(2 + 0 + 2).
-21*b**5
Expand (64*g - 79*g + 144*g)*(4 + 0 - 1).
387*g
Expand (s - 3*s + 3*s)*(-72 - 21*s + 72)*(0*s + 2*s - 5*s).
63*s**3
Expand 4*y**5 - 4*y**5 + y**5 + (-3*y**3 + 0*y**3 + y**3)*(y - y + y**2) + (y**4 - y + y)*(10*y + 11*y - 28*y).
-8*y**5
Expand (0*i + i - 2*i)*(-5*i**2 - 60*i**2 - 23*i**2).
88*i**3
Expand -10*u + 10*u - u**2 + u**2 + u**2 + 0*u**2 + (5 - 5 - u)*(-5*u + 2*u + 2*u) - u**2 - 10*u**2 - 4*u**2.
-13*u**2
Expand (-n**2 + 2*n - 2*n)*(0*n - n - n) + (1 - 1 + 2)*(-1 + 1 - 2*n**3) + 12*n**3 - 36*n**3 - 8*n**3 + 4*n**3 - 3*n**3 - 2*n**3.
-35*n**3
Expand (128 - 47 - 139 + 2*w)*(0*w**3 + 2*w**3 - w**3).
2*w**4 - 58*w**3
Expand (1 + 0 - 2)*(-n**3 + n**3 - n**3) + 3*n**3 + 6*n**3 - 5*n**3 + 3*n**3 - n**3 - 3*n**3 - 2*n**3 - 17*n**3 - 4*n**3.
-19*n**3
Expand (-5 + 4 - 2)*(-5*a + 3*a + 0*a) + ((0 + 2 + 2)*(-1 + 3 + 1) + (3 - 6 + 2)*(3 - 1 - 3))*(-a + a - a).
-7*a
Expand (3*n - 2*n + 2*n)*(3*n**2 - 5*n**2 + n**2) + 2*n**3 - n**3 - 2*n**3 + (2*n - 2 + 2)*(-n + 2*n**2 + n) + 2*n**3 + 2*n**2 - 2*n**2 - 3*n + 2*n**3 + 3*n.
4*n**3
Expand (-k**2 - k**2 + 0*k**2)*(1 + 4 - 4)*(45*k - 1 - 77*k - 101*k).
266*k**3 + 2*k**2
Expand (2*c - 1 + 1 + (-c + 2*c + 2*c)*(3 - 2 + 1))*(-c + c - 2*c)*(-3 + 6 + 3).
-96*c**2
Expand (285 + 301 - 460)*(2*m**3 - 2*m**3 + 3*m**5 - 2*m).
378*m**5 - 252*m
Expand (k**2 - 2*k**2 - 2*k**2)*(-k - 1 + 1)*(-1 + 4 + 0).
9*k**3
Expand 2*l - 2*l - l + (-3*l + 4*l - 4*l)*(-6 + 5 + 2) - l + 2*l - 3*l + 0 + 0 + l + 3*l + l - 2*l + (2 - 7 + 3)*(-3*l - 3*l + 5*l) + 0*l + 3*l - l.
l
Expand (-l**4 - 3*l**4 + 2*l**4)*(-3*l + 4*l - 3*l + (5 + 2*l - 5)*(0 - 4 + 5) - 3*l - 2*l + 4*l).
2*l**5
Expand ((-3 - 4 - 1)*(64 + 8 - 32)*(-3 + 0 + 1) - 5 + 0 + 3)*(-5*p**3 + 2*p**3 + p**3).
-1276*p**3
Expand (-g**2 + 0*g**2 + 0*g**2)*(-g + 0*g - 18*g) - 22*g**3 - 244*g + 244*g.
-3*g**3
Expand (-4 - 1 + 4)*(-2*b + 1 - 1)*(2*b**2 + 1 - 1)*(75 - 48 - 35).
-32*b**3
Expand ((-n + 2*n + 0*n)*(2 + 1 - 1) + 0 + 0 - 3*n)*(-n - 7*n + 2*n) + n**2 - 1 + 1 + (3 - n - 3)*(-n - 2*n + n) - 6*n**2 - 8*n**2 + 2*n**2.
-3*n**2
Expand 9*j**3 + 14*j**3 - 8*j**3 + (1 - 1 + j**3)*(10 - 16 - 6).
3*j**3
Expand (3 + 1 + 1)*(4*p + 0 - 145*p**2 + 143*p**2 + 2).
-10*p**2 + 20*p + 10
Expand (539*r + 550*r - 1158*r)*(1 - 4 + 0).
207*r
Expand (2*j**2 + j**2 + 4*j**2)*(38*j - 43*j + 55*j)*(1 - 2 - 1).
-700*j**3
Expand (-4 - 5 + 0 + 0 + 0 - 1 + (2 - 3 - 1)*(-6 + 3 + 4))*(-1 - 6 + 0)*(t - 4*t + 4*t).
84*t
Expand (-752 - 17*u + 752)*(u - u - 2*u)*(-5*u**2 - 2*u**3 + 5*u**2).
-68*u**5
Expand (-1 + z + 1 + (-2 + 3 + 0)*(-3 - 2*z + 3) - 2*z - 9*z - 2*z)*(-4*z**4 - z + 2*z + 6*z**4).
-28*z**5 - 14*z**2
Expand (0*b**5 - 2*b + 4*b - 2*b**5)*(19 - 1 + 307).
-650*b**5 + 650*b
Expand (-32*t - 84*t - 97*t)*(-t**3 - 6*t**3 + 4*t**3).
639*t**4
Expand (-4*g**2 + 3*g**2 + 3*g**2)*(0 - 3 + 4) - 4 - 2*g - 69*g**2 - 61*g**2 + 112*g**2.
-16*g**2 - 2*g - 4
Expand -f**2 - 13 + 20 - 13 + (4 - 2 + 0)*(-f**2 + 3 - 3).
-3*f**2 - 6
Expand 0*a - a**3 + 0*a + 3*a - 3*a + 2*a**3 + (2*a + 0*a - a)*(-2*a**2 + 0*a**2 - a**2) + 1725*a - 91*a**3 - 1725*a.
-93*a**3
Expand 2*b + 0*b**3 + 4*b**3 - 2*b**3 + 11*b**3 - 4*b**3 - 6*b**3 + (-2*b + 6*b - 3*b)*(-3*b**2 + 3*b**2 - 2*b**2) + 2*b**3 - 8*b**3 + 2*b**3.
-3*b**3 + 2*b
Expand 24*l**3 - 24*l**3 + 3*l**4 + (-2*l - 10*l - 2*l)*(-3*l**3 + 5*l**3 + 0*l**3).
-25*l**4
Expand (-x + 3*x - x)*(3 - 9 + 0)*(5*x**2 - 4*x**2 - 6*x**2).
30*x**3
Expand -n + 2 - 2 - 2*n + 4*n - n - 4*n - n + 3*n + (1 + 2 - 2)*(3*n - 2*n - 2*n) - 9925 + 134*n + 9925.
131*n
Expand (8*u**2 + 10*u**2 - 2*u**2)*(-2*u - 6 + 0 + 0).
-32*u**3 - 96*u**2
Expand (227 + 482*d**2 - 227)*(-2*d**2 + 3*d**2 + 0*d**2).
482*d**4
Expand ((2*p - 4*p + p)*(0*p - 4*p + 2*p) - 45*p**2 + 789*p - 789*p)*(3 - 3 + 2*p).
-86*p**3
Expand (1 - i - 1)*(-4*i**2 + 0*i**2 + 2*i**2) - i**3 + 1 - 1 - 2*i**3 - 3*i**2 + 3*i**2 + (3 - 3 + 3)*(2*i + 5 - 5)*(6*i**2 - 6*i**2 + 7*i**2).
41*i**3
Expand (-a + 3*a + a)*(1 - 4 + 1) - 4*a - 2*a + 4*a - 19*a + 8*a + 3 + 0*a.
-19*a + 3
Expand (-2*i**2 + 0*i**2 + 0*i**2 + 1)*(-6*i**2 + 2*i**2 - 4*i**2 + (3*i - i - 4*i)*(2*i - 2*i - 2*i)) + (i**3 + i - i)*(-2*i + 2*i + i).
9*i**4 - 4*i**2
Expand (6 - 19 - 5)*(p**3 - 3*p**3 + 0*p**3) - 5*p + 5*p - 2*p**3 + (p + 4 - 4)*(-p + 0*p + 0*p)*(1 + 2*p - 1).
32*p**3
Expand 30*r + 4 - 5 + 0 + (0 - 1 - 1)*(1 - 1 - 6*r).
42*r - 1
Expand -5 - 7 + 2*i + 17 + (i + 0 + 0)*(-1 - 1 - 4).
-4*i + 5
Expand (-2*b**2 + 0*b**2 - b**2)*(-76*b**3 + 99*b - 99*b).
228*b**5
Expand (7*h**5 - 3*h**3 + 3*h**3)*(195 + 194 - 369).
140*h**5
Expand (5 + 3 - 2)*(-2*a + 0*a + 0*a + (2*a - a + a)*(1 + 0 - 6)).
-72*a
Expand 5*v - 10*v + 21*v - v + v - 2*v - 5*v + 3*v + 4*v + (1 + 2 - 5)*(6*v - 2*v - 2*v).
12*v
Expand (6*i + 5*i + i + (2*i - i - 3*i)*(-3 + 3 - 1))*(18*i**4 - 3 + 5 + 4*i**4).
308*i**5 + 28*i
Expand w**5 - 2*w**5 + 3*w**5 + (2*w - 5*w + 4*w)*(w**4 - 2*w**4 + 3*w**4) + 11*w**4 - 3*w**5 + 0*w**5 - 9*w**5 + (0 + 2 + 1)*(0*w**5 - 2*w**5 + w**5).
-11*w**5 + 11*w**4
Expand h**2 - 6*h**2 + 19*h**2 + (-3 + 3 + 4*h)*(-1 - 2*h + 1).
6*h**2
Expand -5*p**3 + 11*p**3 - 15*p**3 + (3*p - p + 0*p - p - p + 4*p + (p + 0*p + 0*p)*(-2 + 4 - 1) + 4*p - 3*p - 3*p)*(-4 + 2 - 2)*(2*p**2 + 2*p**2 - 3*p**2).
-21*p**3
Expand (11*m**4 + 26*m**4 - 53*m**4)*(-5 + 4 + 2*m + 5).
-32*m**5 - 64*m**4
Expand 0*o**2 - 4*o**2 + 2*o**2 + (0 + 1 + 0)*(2*o**2 - o**2 + o**2) - 3*o + 3*o**2 + 3*o - 5*o**2 + 5*o**2 - 2*o**2 + 0*o + 0*o + 2*o**2.
3*o**2
Expand (154 - 2*a**3 - 154)*(3*a + 5*a + 7*a) + 0*a**4 - a**4 + 0*a**4.
-31*a**4
Expand -8*f**2 - 10*f + 10*f + 3*f**2 + 6*f**2 - 5*f**2 + (0 + 2*f + 0)*(-f + f + 2*f) + 4 - 4 - 3*f**2.
-3*f**2
Expand (-18*b - 25*b + 46*b + 36)*(3 + 2*b**4 - 3).
6*b**5 + 72*b**4
Expand ((-12 - 5 - 5)*(4 - 4 + 2) + 3 - 1 - 1)*(v + v + 0*v).
-86*v
Expand (1 - 8 - 8)*((-6 + 4 + 3)*(k - 3 + 3) + 2*k + 0 + 0).
-45*k
Expand (-14 - 8 - 4)*(-2*n**2 + 2*n**3 + 2*n**2 + (-2*n + 0 + 0)*(-n**2 + n**2 + 19*n**2) + (3 - 2*n - 3)*(n**2 - 5*n**2 + 2*n**2)).
832*n**3
Expand 8*w**3 - w**3 - 2*w**3 + (-w**3 + 0*w**3 + 0*w**3)*(3 - 5 + 4) - 8*w**3 - 4*w**3 + 6*w**3 + 2*w**3 + 0*w**3 + 2*w**3.
w**3
Expand (-k + k + 2*k**2)*(-2*k - 3*k + 4*k) + (k - 1 + 1 + (2 - 1 + 0)*(-2*k + 0*k - k))*(-3*k**2 + 2*k**2 - k**2).
2*k**3
Expand (0 - 3 + 4)*(3 - 3 - z)*(70*z - 31*z - 41*z - 47*z**3 + 3*z**2).
47*z**4 - 3*z**3 + 2*z**2
Expand (-3*g + 9*g - 2*g)*(-2*g + 5*g - g)*(5*g - 4*g + 0*g).
8*g**3
Expand (-f - 2*f**2 + f)*(25*f + 6*f - f).
-60*f**3
Expand (-5*k + 4*k - k)*(0 - 5 - 14)*(-3*k + k + 3*k) + 4*k**2 - 11*k**2 - 7*k**2.
24*k**2
Expand (0 + 0 + 1 + (3 + 1 - 2)*(-4 + 0 + 2) - 3 - 3 + 5)*(-454*b - 480*b + 756*b).
712*b
Expand (4*m - 5*m - m)*(-5 + 5 + 2).
-4*m
Expand 579*o - 579*o - 140*o**3 - o**3 - 4*o**3 + 3*o**3 + (4*o**2 - 6*o**2 + o**2)*(2*o - 1 + 1).
-144*o**3
Expand (0 + 2*j**4 + 0)*(19*j - 4 - 23*j + 1).
-8*j**5 - 6*j**4
Expand (2 - 1 + 1)*(
|
{
"pile_set_name": "DM Mathematics"
}
|
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