text stringlengths 270 8.19k | meta dict |
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prob of sequence pjp?
5/36
Two letters picked without replacement from sttjtjtjjtjs. What is prob of sequence js?
5/66
Calculate prob of sequence lggy when four letters picked without replacement from {g: 6, l: 11, w: 1, y: 1}.
55/15504
What is prob of sequence jtva when four letters picked without replacement from {t: 2, a: 3, n: 3, v: 2, j: 5}?
1/546
Two letters picked without replacement from llllllvyvvln. Give prob of sequence vy.
1/44
Two letters picked without replacement from coqcbiw. Give prob of sequence ci.
1/21
Four letters picked without replacement from avbaaajb. Give prob of sequence avaj.
1/140
Four letters picked without replacement from {x: 2, h: 1, r: 10, o: 7}. Give prob of sequence orrx.
7/646
Two letters picked without replacement from {v: 2, c: 2, f: 1}. What is prob of sequence fv?
1/10
What is prob of sequence sxl when three letters picked without replacement from {l: 1, x: 1, s: 1, w: 1, r: 1, p: 2}?
1/210
Three letters picked without replacement from dvdddddd. Give prob of sequence ddv.
1/8
Four letters picked without replacement from mmrpmmmprmmmmm. Give prob of sequence rmpm.
15/1001
Two letters picked without replacement from ppppppppp. What is prob of sequence pp?
1
What is prob of sequence zzcc when four letters picked without replacement from {z: 9, c: 7}?
9/130
Four letters picked without replacement from cczz. Give prob of sequence zccz.
1/6
What is prob of sequence rrr when three letters picked without replacement from ratlarrtjtatatla?
1/560
Four letters picked without replacement from qmczqvqqqsmcc. What is prob of sequence vqcq?
1/286
What is prob of sequence kk when two letters picked without replacement from {w: 4, j: 2, k: 6}?
5/22
Two letters picked without replacement from {e: 1, j: 11, q: 1}. Give prob of sequence je.
11/156
Calculate prob of sequence uw when two letters picked without replacement from uuwre.
1/10
Calculate prob of sequence ztz when three letters picked without replacement from tzttttztzttttt.
11/364
Three letters picked without replacement from {z: 2, u: 2}. Give prob of sequence zuz.
1/6
Four letters picked without replacement from noooonooooonooononn. What is prob of sequence nnon?
65/3876
Three letters picked without replacement from {q: 5, h: 2, u: 2, z: 1, g: 4}. Give prob of sequence ggg.
1/91
Two letters picked without replacement from {v: 3, z: 15}. What is prob of sequence zv?
5/34
Calculate prob of sequence ym when two letters picked without replacement from yyyyyvyyyyyyyym.
13/210
Calculate prob of sequence mrrw when four letters picked without replacement from wmwrmwwrwwwww.
3/1430
Two letters picked without replacement from {x: 7, t: 4}. What is prob of sequence tx?
14/55
Two letters picked without replacement from {z: 3, k: 3, a: 2, n: 4, h: 4}. What is prob of sequence ah?
1/30
Calculate prob of sequence cd when two letters picked without replacement from cicphkhkddhhkhd.
1/35
Four letters picked without replacement from {v: 11, w: 9}. What is prob of sequence wwvv?
22/323
Calculate prob of sequence ooo when three letters picked without replacement from ooooo.
1
What is prob of sequence eeae when four letters picked without replacement from aeeeaeeaaeeaaa?
35/572
Four letters picked without replacement from {e: 12, t: 7}. Give prob of sequence etee.
385/3876
Calculate prob of sequence dhi when three letters picked without replacement from zzdhddzihzh.
1/110
Three letters picked without replacement from {z: 1, v: 3}. Give prob of sequence vvv.
1/4
Four letters picked without replacement from lglggggnnngllnl. What is prob of sequence llgg?
5/273
Calculate prob of sequence ssk when three letters picked without replacement from {k: 9, s: 3}.
9/220
Four letters picked without replacement from gjiiyigijljjgjjjj. What is prob of sequence ggjg?
1/1190
What is prob of sequence icc when three letters picked without replacement from {c: 18, i: 1}?
1/19
What is prob of sequence ngn when three letters picked without replacement from {g: 7, n: 6}?
35/286
Calculate prob of sequence ixk when three letters picked without replacement from ilhlxhihklxhlll.
2/1365
Three letters picked without replacement from {s: 5, h: 2}. Give prob of sequence ssh.
4/21
Four letters picked without replacement from {c: 1, b: 2, e: 2, w: 1, n: 2}. Give prob of sequence ncen.
1/420
Calculate prob of sequence orc when three letters picked without replacement from ccovurq.
1/105
What is prob of sequence iipp when four letters picked without replacement from piiipiipip?
1/14
What is prob of sequence ggg when three letters picked without replacement from {g: 3, h: 7}?
1/120
Four letters picked without replacement from {d: 5, s: 5}. Give prob of sequence sdss.
5/84
Four letters picked without replacement from sapml. Give prob of sequence aslp.
1/120
Calculate prob of sequence juj when three letters picked without replacement from {j: 3, u: 4, i: 1}.
1/14
Two letters picked without replacement from rjrfhttrft. What is prob of sequence hj?
1/90
What is prob of sequence iwi when three letters picked without replacement from {i: 2, e: 2, w: 2}?
1/30
Two letters picked without replacement from stsshmsmtssss. What is prob of sequence sh?
2/39
What is prob of sequence mu when two letters picked without replacement from mukuuueuemuu?
7/66
Two letters picked without replacement from {s: 2, o: 2, r: 2, v: 4}. What is prob of sequence os?
2/45
Three letters picked without replacement from pbpjbpbmbmpbj. Give prob of sequence mjm.
1/429
Calculate prob of sequence sfl when three letters picked without replacement from {l: 3, f: 3, c: 3, s: 1}.
1/80
Calculate prob of sequence wfwf when four letters picked without replacement from {f: 4, w: 2, m: 7, y: 1}.
1/1001
What is prob of sequence vn when two letters picked without replacement from {n: 1, v: 2}?
1/3
What is prob of sequence syb when three letters picked without replacement from {b: 1, y: 3, p: 4, j: 4, r: 2, s: 1}?
1/910
What is prob of sequence bebb when four letters picked without replacement from {b: 5, e: 5, v: 4}?
25/2002
Calculate prob of sequence bnb when three letters picked without replacement from {n: 2, b: 6}.
5/28
Calculate prob of sequence hbi when three letters picked without replacement from bhibbhbi.
1/21
Two letters picked without replacement from {q: 3, r: 4, p: 6, t: 4}. What is prob of sequence rt?
1/17
Four letters picked without replacement from {q: 7, u: 7, v: 5}. Give prob of sequence quuq.
49/2584
Calculate prob of sequence mm when two letters picked without replacement from mmkkmkk.
1/7
What is prob of sequence rrr when three letters picked without replacement from {g: 4, r: 10}?
30/91
Four letters picked without replacement from {g: 1, d: 1, f: 1, u: 1, q: 3, t: 5}. Give prob of sequence fqtd.
1/792
What is prob of sequence em when two letters picked without replacement from {q: 2, e: 3, m: 1, s: 5, a: 1}?
1/44
Four letters picked without replacement from {x: 1, a: 6, o: 1, r: 1, p: 3}. What is prob of sequence rppp?
1/1980
Two letters picked without replacement from {u: 2, s: 1}. Give prob of sequence us.
1/3
Two letters picked without replacement from qqqbbbbqqq. What is prob of sequence qb?
4/15
What is prob of sequence tkpk when four letters picked without replacement from {p: 7, t: 4, k: 7}?
49/3060
Two letters picked without replacement from {m: 1, i: 1, f: 1, h: 1, v: 1}. Give prob of sequence hf.
1/20
Calculate prob of sequence vvxx when four letters picked without replacement from {v: 2, x: 2}.
1/6
What is prob of sequence su when two letters picked without replacement from {n: 2, c: 1, z: 2, u: 1, y: 1, s: 1}?
1/56
Three letters picked without replacement from wqvqqqqqqw. What is prob of sequence vqw?
7/360
Three letters picked without replacement from {v: 1, e: 2, b: 1, t: 4, o: 3}. Give prob of sequence ttt.
4/165
Calculate prob of sequence kg when two letters picked without replacement from {o: 1, r: 1, z: 1, k: 1, g: 1}.
1/20
Three letters picked without replacement from {g: 2, c: 4, r: 1}. Give prob of sequence grc.
4/105
Two letters picked without replacement from {t: 1, c: 2, d: 3, x: 2, h: 1, n: 3}. What is prob of sequence nd?
3/44
Two letters picked without replacement from loblllbbbbblob. What is prob of sequence bl? | {
"pile_set_name": "DM Mathematics"
} |
105*l + 3
Let b(g) be the third derivative of 1/10*g**5 + 17*g**2 + 0*g**4 + 0*g**3 + 0 + 0*g. Let c(w) = 2*w. Give c(b(k)).
12*k**2
Let p(w) be the first derivative of w**5/30 + 2*w**2 + 9. Let u(z) be the second derivative of p(z). Let o(y) = 3 - 11*y**2 - 3. What is u(o(c))?
242*c**4
Let t(z) = 56*z**2. Let v(g) = 740*g**2. What is t(v(a))?
30665600*a**4
Let v(z) = 72*z**2 - 1. Let u(j) be the third derivative of -j**4/12 - j**2 + 3. Give u(v(y)).
-144*y**2 + 2
Let p(d) = -427055*d. Let a(o) = -2*o**2. Calculate p(a(n)).
854110*n**2
Let f(q) = -51*q. Let c(a) = -5*a**2 + a + 19. Give f(c(r)).
255*r**2 - 51*r - 969
Let f(j) be the second derivative of j**4/8 - 13*j**2/2 - 13*j. Let v(y) be the first derivative of f(y). Let t(z) = 15*z. What is t(v(d))?
45*d
Let y(b) = -3*b. Let z(v) = -5*v. Let x(d) = -7*y(d) + 4*z(d). Let n(f) = 300*f. Give x(n(k)).
300*k
Let t(k) = -k. Let y(m) be the second derivative of -38*m + 11/3*m**3 + 0 + 0*m**2. Determine t(y(c)).
-22*c
Let p(t) = -t**2 + 15*t. Let o be p(15). Let x(m) = o*m**2 - m**2 + 0*m**2 + 3*m**2. Let b(r) = 11*r**2. What is x(b(l))?
242*l**4
Let k(j) = j**2. Let q(w) be the first derivative of -2*w - 6 + 5/2*w**2. Let m(c) = -66*c + 27. Let f(b) = -4*m(b) - 54*q(b). Determine f(k(n)).
-6*n**2
Let m(c) = -2625*c. Let z(a) = a**2 + 11*a. Determine z(m(o)).
6890625*o**2 - 28875*o
Let d(j) be the second derivative of -1/3*j**3 - 4*j + 0*j**2 + 0. Let q(u) be the first derivative of -8*u**3/3 + 1. Give q(d(m)).
-32*m**2
Let j(u) = u**2 - 3*u - 13. Let a be j(6). Suppose a*z - 9 = 2*z. Let w(b) = z*b - 4*b - 6*b + 6*b. Let p(s) = 17*s**2. Give p(w(g)).
17*g**2
Let l(w) = 14*w - 3. Let q(z) = 19*z - 4. Let a(p) = 4*l(p) - 3*q(p). Let o(n) = 39*n**2 + 4*n. Determine o(a(u)).
39*u**2 - 4*u
Let q(u) = 88 - 3*u**2 - 140 + 52. Let y(s) = 17*s. Determine q(y(n)).
-867*n**2
Let a be 1/(-4) - 98/(-8). Let t(o) = a*o - 1 + 1. Let q(w) be the first derivative of -w**3/3 + 366. What is q(t(n))?
-144*n**2
Let z(p) = -3*p. Let g(m) be the third derivative of 3*m**5/20 + 6*m**2 + 2. Determine z(g(r)).
-27*r**2
Let t(l) = 3503*l**2 + 6. Let y(n) = 13*n. Give y(t(d)).
45539*d**2 + 78
Let w(o) be the second derivative of -o**5/20 - o**4/12 + 43*o**2/2 - 5*o. Let q be w(0). Let y(u) = 41*u**2 - q*u**2 - u + u. Let a(g) = -2*g**2. Give y(a(n)).
-8*n**4
Let z(i) = 285*i**2. Let x(p) be the first derivative of 2*p**3/3 + 252. Give x(z(n)).
162450*n**4
Let v(l) = -5*l - 3. Let s(t) = 11*t + 7. Suppose c + 14 = 7. Let f(y) = c*v(y) - 3*s(y). Let g(j) = -11*j**2. Determine g(f(a)).
-44*a**2
Let p(m) = 5*m - 1. Let f(g) = 29*g - 6. Let n(k) = f(k) - 6*p(k). Let v(a) = -216*a**2 - 4. Calculate n(v(w)).
216*w**2 + 4
Let v(d) = -36*d + 1. Let c(b) = -4*b**2 + 3*b - 3. Let x(a) = 28*a**2 - 20*a + 20. Let r(g) = 20*c(g) + 3*x(g). Give v(r(l)).
-144*l**2 + 1
Let n(g) = 94*g + 6. Let p(r) = 2728*r + 176. Let b(y) = 88*n(y) - 3*p(y). Let u(q) = -q**2. Give u(b(a)).
-7744*a**2
Let k(y) = -167*y. Let b(r) = 71*r**2 - 34*r**2 - 36*r**2. Calculate b(k(x)).
27889*x**2
Let s(h) = -9*h**2. Let v(m) = -1044*m. Determine s(v(t)).
-9809424*t**2
Let d(l) = -43244*l - 1. Let k(w) = 35*w. Calculate d(k(t)).
-1513540*t - 1
Let j(m) = -11*m. Let k(r) = 5*r**2 + 5*r - 5. Let i(b) = -2*b**2 - 3*b + 3. Let y(v) = 5*i(v) + 3*k(v). Calculate j(y(u)).
-55*u**2
Suppose 7 = 5*a + 4*q, 5*a - 8*a - 5*q - 1 = 0. Let z(h) = -6*h + a*h + 6*h. Let y(s) be the second derivative of -7*s**3/6 - 2*s. Calculate y(z(m)).
-21*m
Let z(u) be the third derivative of u**5/12 + 510*u**2. Let p(q) = 2*q**2 - 3. Calculate z(p(b)).
20*b**4 - 60*b**2 + 45
Let x(b) = -2*b**2. Let t(y) = -266*y**2 - 28*y. Let n(z) = 2*z**2 - z. Let c(f) = -28*n(f) + t(f). Calculate x(c(k)).
-207368*k**4
Let m(w) = 2*w**2 - 420. Let h(i) = 16*i + 4. Calculate m(h(l)).
512*l**2 + 256*l - 388
Let t(y) = 284*y - 11*y**2 - 284*y + 6*y**2 + 7*y**2. Let l(h) = -83*h**2 + 6. Let w(m) = 82*m**2 - 7. Let f(j) = -7*l(j) - 6*w(j). Give f(t(a)).
356*a**4
Let f(j) = -48*j - 1. Let w(n) = 98*n + 2. Let k(g) = -2*f(g) - w(g). Let m(z) = -z - 1. Let d(l) = 66*l + 55. Let x(i) = 2*d(i) + 110*m(i). Calculate k(x(s)).
-44*s
Let s(f) be the third derivative of f**6/90 + f**3/6 - f**2. Let u(b) be the first derivative of s(b). Let l(n) = -n + 3*n - 2*n + 2*n. Calculate u(l(a)).
16*a**2
Let z(d) = 8*d + 1. Let q(y) be the second derivative of -y**4/6 + 2*y - 63. What is q(z(n))?
-128*n**2 - 32*n - 2
Let s(m) = -129*m**2. Let r(a) be the third derivative of -a**4/12 + 8*a**2. What is r(s(g))?
258*g**2
Let q(u) = 2*u + 5. Let d(r) = -3*r - 8. Let j(f) = -5*d(f) - 8*q(f). Let o(p) = 16*p. Determine j(o(t)).
-16*t
Let g(y) = 3133*y + 5. Let o(b) = 5*b. Give g(o(a)).
15665*a + 5
Let p(c) be the second derivative of 2/3*c**3 + 0*c**2 + 4*c + 0. Let a(v) be the first derivative of -v**2 - 2. Give a(p(q)).
-8*q
Let v(k) = 64*k + 88. Let s(w) = -9*w - 12. Let p(f) = -44*s(f) - 6*v(f). Let h(z) = -38*z**2. What is p(h(c))?
-456*c**2
Let q(c) = 353*c + 2. Let u(g) = -3*g**2 - 4. Give u(q(x)).
-373827*x**2 - 4236*x - 16
Let a(o) be the third derivative of o**6/144 + 17*o**4/24 + 17*o**2. Let p(z) be the second derivative of a(z). Let q(h) = 9*h**2. What is q(p(v))?
225*v**2
Let n be (2/1)/(3/6). Suppose -22 = -p - n*u, -4*p - 5*u = p - 35. Let d(o) = 0*o**2 + 0*o**p - 7*o**2 - o**2. Let z(t) = -2*t. Calculate d(z(f)).
-32*f**2
Let a(n) = -16864 + 16864 - 2*n. Let i(p) = -99*p. Determine a(i(f)).
198*f
Let w(r) = -3*r**2 - 3 + 3. Suppose -q - 4*f = -24, -2*q + q - f + 9 = 0. Let j(p) = 29 - 29 + 2*p + q*p. Give w(j(s)).
-108*s**2
Let v(y) = 4*y**2 - y + 1. Let x be v(1). Suppose x*k + 13 = u, -7*k + 6*k = 4*u - 18. Let a(o) = o + 3*o - u*o. Let c(t) = 3*t**2. Determine c(a(m)).
3*m**2
Let b(r) = 37 - r - r - 33. Let y(o) = -6*o + 11. Let k(m) = 11*b(m) - 4*y(m). Let z(g) = -13*g. What is z(k(n))?
-26*n
Let h(n) = -4*n + 11*n + 6*n - 8*n. Let t(j) = 2*j - 9. Calculate h(t(u)).
10*u - 45
Let a(s) be the first derivative of 2*s**3/3 - 1. Let v(p) = -5*p**2 + 20*p - 80. Let t(n) = -n + 4. Let l(d) = 20*t(d) + v(d). What is l(a(x))?
-20*x**4
Let l(p) be the third derivative of p**5/30 - p**2. Suppose -z - 63 = -8*z. Let o(a) = 0*a - 8*a + 15*a - z*a. Give l(o(g)).
8*g**2
Let j(c) = c**2. Suppose 0*k + 2*k - 6 = 0. Let g(z) = z**2. Let v(t) = k*g(t) - 2*j(t). Let n(x) = 3*x**2 - 16 + 25 - 9. Calculate v(n(s)).
9*s**4
Let f(m) = -20*m**2. Let d(n) = 610*n. Give d(f(k)).
-12200*k**2
Let d(r) = r**2 + 12*r + 12. Let y(x) = -2*x**2 - 22*x - 22. Let h(v) = -11*d(v) - 6*y(v). Let w(u) = 23*u**2 - 3*u. Give w(h(j)).
23*j**4 - 3*j**2
Let z(i) = -7*i**2. Suppose -3*v + 3*f + 6 = 0, -4*v + 5*f + 8 = -2. Let r(d) = v*d - 20 - d + 20. What is r(z(n))?
7*n**2
Let s(c) = -c**2 - 1705. Let v(r) = -63*r. Calculate s(v(b)).
-3969*b**2 - 1705
Let h(m) = 1368 - 455 + 17*m - 456 - 457 - 2*m**2. Let d(b) = 5*b**2. What is d(h(v))?
20*v**4 - 340*v**3 + 1445*v**2
Let y(k) = -3*k - 149. Let o(j) = j - 13. What is y(o(s))?
-3*s - 110
Let o(t) be the second derivative of -3*t + 1/3*t**3 + 0*t**2 + 0. Let w(k) = -6*k**2. Calculate o(w(z)).
-12*z**2
Let m(p) = 19*p**2 + 36*p. Let a(d) = 39*d**2 + 84*d. Let o(n) = -3*a(n) + 7*m(n). Let y(z) = -5*z**2 - 2. Give y(o(r)).
-1280*r**4 - 2
Suppose 3*b - 8 = -b. Let k(j) = -2*j + b*j + 78*j**2. Let l(x) = -x. What is k(l(d))?
78*d**2
Let l(s) = 108*s**2 - s. Let v(g) be the third derivative of g**4/24 - 2*g**2 - 93. What is l(v(z))?
108*z**2 - z
Let t(y) = -y**2. Let i(c) be the third derivative of -7*c**6/180 - 13*c**4/12 - 2*c**2. Let n(h) be the second derivative of i(h). Calculate n(t(v)).
28*v**2
Let a(o) = 82 - 20*o + 51*o + 9 - 30*o. Let i(u) = 2*u**2. Give a(i(f)).
2*f**2 + 91
Let y(n) = 89*n**2. Let m(k) = -2*k**2 - 3*k + 529. Determine m(y(q)).
-15842*q**4 - 267*q**2 + 529
Let s(w) be the third derivative of 7*w**5/60 - 329*w**2. Let m(r) = 14*r**2. What is s(m(a))?
1372*a**4
Let b(h) = 2*h - 4. Let r(a) = -4*a + 7. Let w(u) = 7*b(u) + 4*r(u). Let m(c) = -c - 1. Let q(k) = 21*k + 14. Let f(t) = -42*m(t) - 3*q(t). Determine w(f(j)).
42*j
Let q(p) = 49 - 10*p + 4*p - 49. Let g(t) be the first derivative of 0*t**2 + 1/3*t**3 - 1 + 0*t. Calculate q(g(h)).
-6*h**2
Let p(i) = -20*i**2. Let z(d) = 5*d + 8*d - 1 | {
"pile_set_name": "DM Mathematics"
} |
, -8068, -0.5?
1/7
Which is the second smallest value? (a) -1746 (b) 1/2 (c) 0 (d) -5 (e) 2/7 (f) -32
f
Which is the third smallest value? (a) -1 (b) -380 (c) 5 (d) 4 (e) -898
a
Which is the second smallest value? (a) -4246/3 (b) 0.3 (c) 3685
b
What is the biggest value in 2, 5650, -0.4, 0.5, 31/3?
5650
What is the third biggest value in 8, -4/3, -2, 1/4045, 0?
0
What is the fifth biggest value in -5/6, 0.11, -0.4, 0.6, 8.18, 0.16?
-0.4
What is the smallest value in -0.1, -0.1148, 4, -0.3, 0.1, -0.128?
-0.3
What is the fourth biggest value in -0.3, 5, -0.2, -1/2, -0.24, 1164, 3/7?
-0.2
Which is the third biggest value? (a) -4 (b) 0.1 (c) -65.6333
c
Which is the biggest value? (a) -0.4 (b) 2/13 (c) 2/3 (d) -1/5 (e) -152 (f) -68
c
Which is the smallest value? (a) -1.364 (b) -0.5 (c) 3667
a
Which is the smallest value? (a) 5 (b) -445 (c) 93.8
b
Which is the fourth smallest value? (a) 41 (b) -60 (c) -2/11 (d) -3/4 (e) 3
e
Which is the sixth smallest value? (a) 6 (b) -5 (c) 2/1215 (d) -0.5 (e) -0.2 (f) -3/7 (g) -4
c
Which is the biggest value? (a) 5695475 (b) 2/11 (c) 0.4
a
What is the second smallest value in 1/2, 3.6, -1/6, -3.8, 1/4, 0.1?
-1/6
What is the fourth biggest value in 17.2, -6, -0.4, -76/11?
-76/11
What is the second biggest value in -18294, 2/9, 6/13?
2/9
What is the seventh biggest value in -0.1047, 2, 11, -4, 4, -3, 298?
-4
Which is the fifth biggest value? (a) -2.2 (b) 1/12 (c) -1 (d) -95/6 (e) -0.2 (f) -2/3
a
What is the biggest value in -1.7, -3, 3627, -21?
3627
What is the second biggest value in 44, 0.5, -10, 75, 1/14, -0.02?
44
What is the third biggest value in -2/7, 66287511, 0.4?
-2/7
Which is the second smallest value? (a) -2.14 (b) 0.0495 (c) 20 (d) 56
b
What is the second biggest value in -8/5, -131, -290, 5?
-8/5
What is the fifth smallest value in -1/6, -2/167, -0.03, 13/3, -1/2?
13/3
Which is the smallest value? (a) -1 (b) -8 (c) -48/229 (d) -7/2
b
Which is the biggest value? (a) 78 (b) -23 (c) 51 (d) 0.17 (e) 4
a
Which is the sixth biggest value? (a) 1.58 (b) 112 (c) -56 (d) 0.1 (e) -0.5 (f) 4
c
What is the second biggest value in 1/4, 4, -919.2?
1/4
Which is the biggest value? (a) -67 (b) 0.3 (c) -0.04 (d) -0.11 (e) 2/23 (f) 1/5 (g) -0.5
b
What is the biggest value in 0.49, -2, 1, -337, -5, -149, 5?
5
Which is the third smallest value? (a) -1/3 (b) -12 (c) 894 (d) 3 (e) 0.3 (f) -5/8 (g) -0.5
g
What is the smallest value in 0.15, -2.2, 114, 23?
-2.2
What is the biggest value in -3, 5, -1, 194, 5899.7?
5899.7
What is the fifth biggest value in -0.1, 0.5, -4/11, 13/2, -14, 1, 0?
-0.1
What is the fourth smallest value in 5, 10, 49, -12, -23/3, 0.3, 4?
4
Which is the fifth biggest value? (a) -1.266 (b) 1.419 (c) 4 (d) -1/3 (e) -2
e
Which is the fifth biggest value? (a) -2/11 (b) 29 (c) 0 (d) -2/10391 (e) 1
a
Which is the third smallest value? (a) -8 (b) -3 (c) 620286
c
What is the second smallest value in 1, -1/5, 3078319, -1/3?
-1/5
Which is the biggest value? (a) -66/7 (b) -3 (c) 7/122 (d) -1/6 (e) 10/7 (f) 2/5 (g) 3
g
Which is the third smallest value? (a) 1/303 (b) -3/2 (c) -3445/17
a
Which is the second smallest value? (a) -0.07 (b) 3 (c) 1 (d) -3 (e) -1 (f) 24869
e
What is the smallest value in 2/3, 45, -37.56, 9.1?
-37.56
Which is the third biggest value? (a) -2.3 (b) 10/17 (c) -25 (d) 3/7
a
Which is the fifth smallest value? (a) 0.5 (b) 1 (c) -95 (d) -0.2 (e) 140855
e
What is the third smallest value in -0.1, -1403, -1, 174/7?
-0.1
What is the smallest value in -0.2, 5.32, 127, -3?
-3
Which is the second smallest value? (a) -107911 (b) 2 (c) -0.23
c
What is the third smallest value in 1/39598650, 2/13, 2?
2
Which is the second biggest value? (a) -0.12 (b) -12 (c) -10/3 (d) 3 (e) 46 (f) -2/19
d
Which is the fourth smallest value? (a) -1/14 (b) 1/10 (c) 5 (d) -45/11 (e) 6
c
What is the fourth smallest value in 4, -465, -0.118, 84?
84
What is the third smallest value in -0.2, 0, -5, 0.2, 38, -0.144, 1/7?
-0.144
Which is the second biggest value? (a) 1 (b) -2 (c) -15.9 (d) -203
b
What is the fourth smallest value in -369, 0, -0.11, -2129?
0
Which is the second biggest value? (a) -99.27 (b) -2/93 (c) -2
c
Which is the fourth biggest value? (a) 0 (b) -22 (c) -1 (d) 5 (e) 3/4 (f) 17 (g) 0.2
g
Which is the third biggest value? (a) 4 (b) 0 (c) 2 (d) -203.2858
b
Which is the fifth biggest value? (a) -4305 (b) 0 (c) -22 (d) 0.5 (e) 32
a
Which is the third smallest value? (a) -3/52 (b) 3 (c) -2/789 (d) 5
b
Which is the fifth smallest value? (a) 2 (b) -70 (c) -2/15 (d) 8 (e) 3 (f) 0.4 (g) 1/8
a
What is the biggest value in 0.1, -586, 4.84?
4.84
Which is the second biggest value? (a) -2403/1313 (b) 1/6 (c) 0.6
b
What is the biggest value in 0, -2/9, 20, -190, -0.5, 3/421, 1?
20
Which is the third biggest value? (a) 12/7 (b) 0 (c) 38 (d) 8893/2
a
Which is the smallest value? (a) -9 (b) -0.1 (c) 129 (d) -28/9 (e) 3/5 (f) 2
a
What is the sixth smallest value in -1, 2/9, 11, 5, -93, 0.5, 0.25?
5
What is the fifth biggest value in -39, -0.3, -1/4, 2, -100?
-100
Which is the sixth smallest value? (a) -2 (b) 0.5 (c) 6/19 (d) 6.8 (e) 2/19 (f) 5/23
d
Which is the fourth smallest value? (a) -5/4 (b) 0.29 (c) -1 (d) 3/5 (e) -2/81 (f) -2 (g) -1/3
g
Which is the second smallest value? (a) -61239 (b) -2/11 (c) 52
b
What is the third smallest value in 1/5, 280249, 3?
280249
Which is the biggest value? (a) 291 (b) 5/3 (c) 1.756
a
Which is the smallest value? (a) -0.14 (b) -2267 (c) -3670 (d) -3
c
What is the fourth biggest value in -2, -0.9, 0, 3/4, -5, 1/20?
-0.9
Which is the fifth smallest value? (a) 4 (b) 0 (c) 216 (d) 0.37 (e) -5/14 (f) -0.4
a
What is the third biggest value in 3/7, -5, 2, 0.4, -1/4786, 3/16?
0.4
What is the second biggest value in -0.326, -0.1, 24444?
-0.1
What is the biggest value in -2/7, -6, 1, 0.9, 12/31?
1
Which is the second smallest value? (a) -620962 (b) 12 (c) -5
c
Which is the third smallest value? (a) -20.2722 (b) 3 (c) 5
c
What is the fourth smallest value in 0.1, 5, 1/5, -4568, -1/7, 4/7?
1/5
What is the fifth smallest value in 1/7, -1, 8996790, 0.3, -1/4, 1, -0.2?
0.3
What is the third smallest value in 10, 85, -2/5, -12, 3/2, 2.214?
3/2
Which is the smallest value? (a) 0.3 (b) 32 (c) 13 (d) -7387 (e) 1
d
Which is the biggest value? (a) 2/57 (b) -10220 (c) -0.4
a
Which is the second smallest value? (a) -5 (b) 3 (c) 13780/2411
b
What is the fourth biggest value in -210, 124, -5, -0.4?
-210
Which is the biggest value? (a) 2385 (b) 37 (c) -0.49 (d) -8
a
What is the third smallest value in -0.1, 26/51, 52, -19/2, -0.07?
-0.07
Which is the second smallest value? (a) 0.12 (b) -358320 (c) 0.2
a
What is the fourth biggest value in 3/5, -42, -501, 54?
-501
Which is the second smallest value? (a) -2 (b) 0.2 (c) -23 (d) -5 (e) 421
d
What is the fourth biggest value in -16/9, -38090, 1, -5?
-38090
What is the biggest value in -103, -0.3, -1/291, -2/1695?
-2/1695
Which is the second smallest value? (a) -7 (b) 1183/4 (c) 1 (d) -0.5 (e) 36
d
What is the second smallest value in 1/2, 28/155, 3/1204, -0.4, -5, -1/17?
-0.4
What is the smallest value in -2.9, -1, -2, 11/128?
-2.9
Which is the fourth biggest value? (a) -0.51 (b) -1.2 (c) 2 (d) 3/4 (e) 4 (f) -0.0598
f
Which is the fifth biggest value? (a) -8 (b) -15 (c) -208 (d) 6 (e) 5/2
c
Which is the fourth smallest value? (a) 2/11 (b) -0.08 (c) -2/9 (d) -4 (e) 23 (f) 1658/3
a
What is the fifth biggest value in -10, 5/3, 6, 12, 3, 7/2, 4/7?
5/3
What is the biggest value in -3, 660, -0.4, -14, -235?
660
What is the third biggest value in 2851, 0.16, 5/2, 0.9?
0.9
Which is the third smallest value? (a) -2/11 (b) -11754/131 (c) -4
a
What is the second biggest value in -119/14571, 20, 2, 0.2?
2
Which is the second smallest value? (a) -2 (b) -0.1 (c) 207382 (d) -3
a
Which is the third smallest value? (a) -0.09 (b) -0.6 (c) -0.2 (d) 21 (e) -0.9 (f) 3.5
c
What is the second smallest value in -1, -6376, 183?
-1
What is the second biggest value in 9/10, 1/406, -2/3, 1/3, -1.5, -26?
1/3
Which is the biggest v | {
"pile_set_name": "DM Mathematics"
} |
j = -53.42 + -0.58. Let d = j + 53. Which is the nearest to d? (a) 2/13 (b) -0.3 (c) 1/7
b
Let k = -845 + 822. Let x = 23.015 - 0.015. Let j = k + x. Which is the nearest to 0.3? (a) -1 (b) 0.5 (c) j
b
Let b = 21.017 + -0.017. Let a = b + -20.7. What is the closest to -0.1 in a, 2, 2/3?
a
Let p = -18.5 - -18. Let t = p + -0.4. Let d = t + 5.9. Which is the closest to 0? (a) d (b) -2 (c) 4
b
Let t = -20961.4 + 20961. Let y = 1 - 1.02. Which is the nearest to 2? (a) t (b) -3 (c) y
c
Let b = 50 - 50.19. Let p = -0.39 - b. What is the nearest to 3 in 5, p, -2?
5
Let g(o) = -52*o - 624. Let j be g(-12). Let k = 2 - 4. Let d = k + 5. What is the nearest to j in 0.5, -0.06, d?
-0.06
Let l = 7 - 3. Let x = 22 + -22.23. Let q = -0.23 - x. Which is the nearest to -0.1? (a) q (b) 2 (c) l
a
Let f = 143/36 - 15/4. Which is the closest to -1? (a) -0.5 (b) 1 (c) -6 (d) f
a
Let w = 17.1 + -20.1. What is the closest to -3 in -5, 2/15, 6, w?
w
Let b = -2471 + 2471.1. What is the closest to b in -5, -0.2, -0.1, 0.07?
0.07
Let i = -0.135 + 3.135. Which is the closest to -1? (a) -1/18 (b) i (c) -0.4 (d) 0.5
c
Let t = 22 - 22.6. Let r = -5/8 - -41/40. What is the closest to 0 in -4, r, t?
r
Let q = 5.5 - 6. Suppose 9*k + 24 + 12 = 0. Which is the nearest to -0.1? (a) q (b) k (c) 1
a
Let w = 3.3 + -10.2. Let r = 6.4 + w. What is the closest to 0 in r, -0.3, 10?
-0.3
Let x = -929/2 - -464. Which is the nearest to -2? (a) 1/5 (b) 1 (c) x
c
Let h = -1.9 + 3.9. Let v = 13 - 8. Which is the closest to h? (a) -4 (b) v (c) 10
b
Let q = 24 - 29. Let m be (q - 42)/(2/6). Let s = m + 427/3. Which is the closest to 0? (a) -3/2 (b) s (c) 0.5
c
Let m = 47/10 + -9/2. Which is the closest to 1? (a) m (b) 0.5 (c) -0.07
b
Let z = -1.12 - -3.12. Let g = -1.5 + 1.1. Let s = 45/14 - 26/7. Which is the closest to z? (a) g (b) 1 (c) s
b
Let o be 1 - (306/27 - 10). Let w(r) = r**3 + 2*r**2 - 3*r - 1. Let d be w(-2). Which is the closest to -2? (a) o (b) -4 (c) d
a
Let u be 8/6 + (-11)/((-33)/(-10)). What is the nearest to u in -0.64, -0.3, 3?
-0.64
Let k = 0.3183 - 0.0183. What is the closest to 1 in k, 15, 0.04?
k
Let h = 100 + -190. Let d = h + 86. What is the nearest to -1/3 in d, 0.4, -8?
0.4
Let w = -52/3 + 293/15. Which is the closest to 1? (a) w (b) -1/4 (c) 2/5
c
Let v = 132 + -85.9. Let o = 46 - v. Let u = -3 - -3.5. Which is the nearest to o? (a) u (b) 5 (c) 0
c
Let l = -6 - -9. Let p(o) = -o**2 + 4*o + 26. Let r be p(7). Suppose -r*w + 4*w - 24 = -5*d, 2*d + 12 = -5*w. What is the closest to 2/7 in w, -1/4, l?
-1/4
Let l be 3/3*(3 - -1). Let s = -21.12 + 19.12. What is the nearest to s in l, -0.4, -2/17?
-0.4
Let w = -38.4 - -38.8. What is the nearest to -1/6 in w, -0.5, -3?
-0.5
Let o be 0 - 4/10 - (-224)/735. Let n = o + 3/7. What is the nearest to -11 in -0.5, n, -2/5?
-0.5
Let r = -1 - -5/7. Let x = -11.7 + 12. Let d = 43 + -173/4. Which is the nearest to r? (a) x (b) d (c) 5
b
Let p be 4/(12/9) + (-16)/8. Suppose 6*z + p = 7. Let i be 1/(-1)*7 - -2. What is the closest to 1/4 in z, i, 0.3?
0.3
Let y = -5442 - -5441.6. Let i(n) = -n - 2. Let u be i(-2). Which is the closest to 1? (a) y (b) u (c) -5
b
Let o be 16/24*(-1)/2. What is the nearest to o in -3, 10, 2?
2
Let f(n) = -n**2 + 6*n - 11. Let d be f(5). Let r = -0.189 - -2.189. Which is the nearest to r? (a) -1/3 (b) d (c) -4
a
Let j(s) = s**2 + 7*s + 13. Let g be j(-5). What is the closest to 1 in g, -0.06, -4?
-0.06
Let q be -2*(6/4 + 6/(-3)). What is the closest to 0.3 in 0.1, -4, q, -1/4?
0.1
Suppose 4*s - 5 = 3. Let v be (4*(s + -1))/2. Let y = -54 - -58. What is the closest to -2/7 in v, y, -0.3?
-0.3
Let x = 223 + -2005/9. What is the closest to 2/3 in -3/7, x, 1/4, -0.1?
1/4
Let y = 4.07 - 4.5. Let m = -0.33 - y. Which is the nearest to 2/5? (a) 1/2 (b) m (c) 0
a
Let v be (-88)/(-270) + (-52)/(-702). What is the closest to v in 3, 1/19, 2/17?
2/17
Suppose -10 = 2*k - 2*i + 8, -5*k - i = 39. Let x be (-2)/k - 9/12. Let n be 42/40 - (-144)/(-180). What is the nearest to x in 5, n, 3?
n
Let r = 313 - 312. Let m = 7 - 6.4. Which is the nearest to r? (a) 1 (b) m (c) 0
a
Let p = -0.43 + -0.07. Let f = -3.5 + p. Let l = 2.8 - 3. Which is the closest to -0.1? (a) 1/3 (b) l (c) f
b
Let g be (1 - 0) + 25 - 10/(-5). Suppose -2*z = 4*s - g, 2*s - z = -0 + 6. Which is the closest to 0.1? (a) 1/7 (b) s (c) -1
a
Let y = -5.28 + 5.08. What is the closest to -1 in -3/2, y, -1, 2/11?
-1
Suppose 0 = -4*o + 12. Suppose -i + 3*z = 0, -1 + 7 = 2*i - o*z. Suppose -i*f + v = -2*f - 12, -4*f = v - 4. What is the closest to 1/3 in -1, f, 0.5?
0.5
Let f = 289/77 - 25/7. What is the nearest to 0 in 9, 1/4, f?
f
Let d = -11.74 + 11.7. What is the nearest to -2 in d, -5, 2?
d
Let h = 0.49 - 4.49. Which is the closest to 2/5? (a) -4/5 (b) h (c) 5
a
Let i be (1 + 1)*3/18. Let d = -3.5 + 3.33. Let q = d - -0.37. What is the closest to i in -0.4, 0.1, q?
q
Suppose -5*v = -u + 95, -46*u + 44*u + 82 = -4*v. What is the closest to -0.3 in 0.1, v, -0.1?
-0.1
Let i = -9 + 13. What is the closest to 2/7 in i, -0.1, -1?
-0.1
Let w = 0.88 - 35.88. Let k = -34 - w. What is the nearest to -2 in -0.1, k, 1/2?
-0.1
Let s be (-2 - 221/(-102))*(1 + 1). Let p be ((-2)/20)/(2/4). Which is the nearest to p? (a) s (b) 1 (c) 0.5
a
Let f = 537 + -539. Suppose -k - 4*k - 3*i + 7 = 0, 5*k = -5*i + 5. Suppose -2*h - k*h = 12. Which is the nearest to -1? (a) h (b) 5 (c) f
c
Let o = 36.82 - 35. Let r = 4.18 + -4. Let q = o + r. Which is the closest to 0? (a) -0.2 (b) q (c) 3
a
Suppose 0*p = -5*p + 10. Let v = 0.9 - -0.1. Which is the closest to -3? (a) 1/8 (b) p (c) v
a
Let a = -0.05 - 0.35. Let w = 0.5 + -1.1. Let j = -0.5 - w. What is the closest to j in a, 2/15, -0.3?
2/15
Suppose -273*q + 277*q + 20 = 0. Let j = 1.6 + -2. Let l = j + 2.4. What is the nearest to -2 in l, 5, q?
q
Let x = 7 + -6.7. Let p = -13 + 13.5. Let y = x - p. Which is the closest to y? (a) 1/10 (b) -1/6 (c) 0
b
Let m = 2.03 - 11.73. Let j = -10 - m. Let g = 0.5 - 0. What is the closest to -1 in g, j, 3?
j
Let x = -2.09 - -0.09. Let s = 4.03 - 1.03. Which is the closest to 2? (a) x (b) s (c) -5
b
Let s = 197 + -1377/7. Which is the nearest to -0.1? (a) 4 (b) 1 (c) s
c
Let r = -8 - -5. Let i = -456.1 + 456. What is the closest to i in 3/5, 0.5, r?
0.5
Let t = -6.1 - -6. Let k = 112.1 - 112. Let n = 0 - 3. Which is the closest to k? (a) -2 (b) n (c) t
c
Let q(l) = -l**2 + 9*l - 19. Let i be q(6). Which is the nearest to 0? (a) i (b) -7/5 (c) 4 (d) 5
a
Let h be 4/(-18) + (-40)/(-18). Let y be 2/34 + (-1272)/(-9010). What is the nearest to y in -2, h, 3?
h
Let j be 0 - ((-250)/80 + 3). Suppose n = -0*n + 2*k + 6, -4*n = 2*k + 6. Which is the nearest to 1? (a) n (b) j (c) -1
b
Let x = 7 + -4. Let a = 3431 - 10292/3. What is the nearest to a in x, -0.3, -4/7?
-0.3
Let f = 337 - 336.9. What is the nearest to f in -22, 1/3, -2/5?
1/3
Let j = -0.07 - -0.47. Let o = -0.42 - -0.02. Let v = -0.4 - o. What is the closest to 1 in j, v, 1?
1
Let x(s) = -38*s + 221. Let c be x(6). Let t(w) = -w**2 - 5*w - 3. Let i be t(-3). What is the closest to 0.1 in c, i, -0.5?
-0.5
Let c = -2.99 - 0.01. Let n = 4.6 - 0.6. Let p = n - 3. What is the nearest to p in 0.3, 0.4, c?
0.4
Let z = 3 + -3. Let q be ((-2)/10)/(14/35). Suppose -4*x - 4*l = 28, -5*l - 3 - 2 = -5*x. What is the closest to q in -5/3, x, z?
z
Let q = 11/5 - 3. What is the closest to -0.8 in -0.1, q, -2?
q
Let h = -0.414 + 0.404. Which is the closest to -0.1? (a) 2/9 (b) 1 (c) -2 (d) h
d
Let i(o) = o**2 + 13*o + 13. Let k be i(-12). What is the nearest to 2/9 in -4, k, 3?
k
Let r be ((-17)/958)/((-707)/1118407). Let q = 2/48379 + r. Let u = 57/2 - q. Which is the closest to 2? (a) 2/7 (b) 1 (c) u
b
Let y be (-2)/(-8) - (-2)/(-4). Let p = -217.46 - -215. Let v = p - -0.46. Which is the nearest to -2/3? (a) v (b) 0.4 (c) y
c
Let i = -166 - -173. What is the nearest to -1 in -0.2, -0.1, i?
-0.2
Let i = -36 + 30. Let t be -1*4 + (5 - i/(-5)). Which is the nearest to 0.09? (a) 1/5 (b) 2/9 (c) t
a
Let l = 187 - 115. Let s(p) = -p**3 - 2*p**2 - 3*p. Let g be s(-2). Let f be 1 - g/(l/20). What is the closest to -1 in 0.1, 3/5, f?
f
Suppose 16*h | {
"pile_set_name": "DM Mathematics"
} |
rs of 32450?
2, 5, 11, 59
List the prime factors of 11571.
3, 7, 19, 29
What are the prime factors of 1251?
3, 139
What are the prime factors of 148259?
37, 4007
What are the prime factors of 2397?
3, 17, 47
List the prime factors of 75367.
75367
What are the prime factors of 148055?
5, 29611
What are the prime factors of 1590?
2, 3, 5, 53
List the prime factors of 3365.
5, 673
What are the prime factors of 358?
2, 179
What are the prime factors of 1156?
2, 17
List the prime factors of 1446.
2, 3, 241
List the prime factors of 6513.
3, 13, 167
What are the prime factors of 48939?
3, 11, 1483
List the prime factors of 19488.
2, 3, 7, 29
What are the prime factors of 8956?
2, 2239
What are the prime factors of 9629?
9629
List the prime factors of 8607.
3, 19, 151
List the prime factors of 5995.
5, 11, 109
What are the prime factors of 17026?
2, 8513
List the prime factors of 67531.
67531
List the prime factors of 2219.
7, 317
List the prime factors of 7632.
2, 3, 53
List the prime factors of 5591.
5591
What are the prime factors of 112?
2, 7
What are the prime factors of 508?
2, 127
What are the prime factors of 44050?
2, 5, 881
List the prime factors of 3595.
5, 719
What are the prime factors of 51268?
2, 7, 1831
List the prime factors of 9294.
2, 3, 1549
List the prime factors of 10136.
2, 7, 181
List the prime factors of 3741.
3, 29, 43
List the prime factors of 17063.
113, 151
List the prime factors of 33412.
2, 8353
What are the prime factors of 3106?
2, 1553
What are the prime factors of 9389?
41, 229
What are the prime factors of 2306?
2, 1153
List the prime factors of 10399.
10399
What are the prime factors of 40682?
2, 20341
What are the prime factors of 35781?
3, 11927
What are the prime factors of 22850?
2, 5, 457
List the prime factors of 9221.
9221
List the prime factors of 15706.
2, 7853
List the prime factors of 31626.
2, 3, 7, 251
What are the prime factors of 1628?
2, 11, 37
List the prime factors of 3513.
3, 1171
List the prime factors of 49987.
7, 37, 193
What are the prime factors of 3759?
3, 7, 179
What are the prime factors of 14681?
53, 277
List the prime factors of 80675.
5, 7, 461
List the prime factors of 47629.
47629
List the prime factors of 2152.
2, 269
List the prime factors of 4962.
2, 3, 827
List the prime factors of 8237.
8237
What are the prime factors of 87?
3, 29
What are the prime factors of 14089?
73, 193
What are the prime factors of 1981?
7, 283
List the prime factors of 983.
983
List the prime factors of 32776.
2, 17, 241
List the prime factors of 100963.
17, 5939
List the prime factors of 24988.
2, 6247
What are the prime factors of 46187?
46187
List the prime factors of 6432.
2, 3, 67
List the prime factors of 987.
3, 7, 47
List the prime factors of 2782.
2, 13, 107
What are the prime factors of 8701?
7, 11, 113
List the prime factors of 442.
2, 13, 17
List the prime factors of 366.
2, 3, 61
List the prime factors of 38906.
2, 7, 397
What are the prime factors of 838?
2, 419
What are the prime factors of 859?
859
What are the prime factors of 54083?
54083
List the prime factors of 117766.
2, 11, 53, 101
List the prime factors of 2808.
2, 3, 13
What are the prime factors of 11138?
2, 5569
What are the prime factors of 32137?
7, 4591
List the prime factors of 9506.
2, 7, 97
List the prime factors of 41052.
2, 3, 11, 311
What are the prime factors of 3263?
13, 251
List the prime factors of 1752.
2, 3, 73
What are the prime factors of 105877?
239, 443
List the prime factors of 7148.
2, 1787
What are the prime factors of 87343?
19, 4597
What are the prime factors of 856?
2, 107
List the prime factors of 25928.
2, 7, 463
What are the prime factors of 8287?
8287
What are the prime factors of 31855?
5, 23, 277
What are the prime factors of 176147?
353, 499
What are the prime factors of 153?
3, 17
What are the prime factors of 150950?
2, 5, 3019
List the prime factors of 791.
7, 113
List the prime factors of 1037.
17, 61
List the prime factors of 3138.
2, 3, 523
What are the prime factors of 10143?
3, 7, 23
List the prime factors of 3147.
3, 1049
What are the prime factors of 584?
2, 73
What are the prime factors of 2325?
3, 5, 31
List the prime factors of 2275.
5, 7, 13
What are the prime factors of 50880?
2, 3, 5, 53
List the prime factors of 4320.
2, 3, 5
What are the prime factors of 27852?
2, 3, 11, 211
List the prime factors of 537.
3, 179
What are the prime factors of 111864?
2, 3, 59, 79
List the prime factors of 20536.
2, 17, 151
List the prime factors of 7257.
3, 41, 59
What are the prime factors of 8217?
3, 11, 83
List the prime factors of 567.
3, 7
List the prime factors of 89625.
3, 5, 239
What are the prime factors of 3609?
3, 401
What are the prime factors of 2630?
2, 5, 263
List the prime factors of 12908.
2, 7, 461
List the prime factors of 1366.
2, 683
List the prime factors of 28616.
2, 7, 73
What are the prime factors of 89713?
13, 67, 103
What are the prime factors of 195?
3, 5, 13
What are the prime factors of 673?
673
List the prime factors of 3364.
2, 29
List the prime factors of 62063.
53, 1171
What are the prime factors of 15624?
2, 3, 7, 31
What are the prime factors of 3042?
2, 3, 13
What are the prime factors of 29379?
3, 7, 1399
What are the prime factors of 19729?
109, 181
What are the prime factors of 739?
739
List the prime factors of 3738.
2, 3, 7, 89
List the prime factors of 25623.
3, 13, 73
What are the prime factors of 414?
2, 3, 23
List the prime factors of 4846.
2, 2423
What are the prime factors of 1605?
3, 5, 107
List the prime factors of 779.
19, 41
List the prime factors of 33185.
5, 6637
List the prime factors of 636.
2, 3, 53
List the prime factors of 48229.
17, 2837
What are the prime factors of 71250?
2, 3, 5, 19
What are the prime factors of 1065?
3, 5, 71
List the prime factors of 1091.
1091
List the prime factors of 863.
863
What are the prime factors of 26763?
3, 11, 811
List the prime factors of 25715.
5, 37, 139
What are the prime factors of 1392?
2, 3, 29
What are the prime factors of 1875?
3, 5
List the prime factors of 1617.
3, 7, 11
List the prime factors of 26486.
2, 17, 19, 41
List the prime factors of 70821.
3, 43, 61
List the prime factors of 192446.
2, 96223
List the prime factors of 2503.
2503
List the prime factors of 7078.
2, 3539
List the prime factors of 4.
2
List the prime factors of 1753.
1753
List the prime factors of 90870.
2, 3, 5, 13, 233
What are the prime factors of 20834?
2, 11, 947
List the prime factors of 2689.
2689
What are the prime factors of 14?
2, 7
List the prime factors of 3637.
3637
List the prime factors of 43572.
2, 3, 3631
List the prime factors of 899.
29, 31
List the prime factors of 1691.
19, 89
List the prime factors of 6339.
3, 2113
What are the prime factors of 2770?
2, 5, 277
What are the prime factors of 3624?
2, 3, 151
List the prime factors of 7161.
3, 7, 11, 31
What are the prime factors of 113742?
2, 3, 71, 89
List the prime factors of 2591.
2591
What are the prime factors of 312?
2, 3, 13
List the prime factors of 636.
2, 3, 53
List the prime factors of 22848.
2, 3, 7, 17
What are the prime factors of 61346?
2, 37, 829
What are the prime factors of 21091?
7, 23, 131
List the prime factors of 1300.
2, 5, 13
What are the prime factors of 10853?
10853
List the prime factors of 316.
2, 79
List the prime factors of 2907.
3, 17, 19
What are the prime factors of 7265?
5, 1453
What are the prime factors of 1168?
2, 73
List the prime factors of 2510.
2, 5, 251
List the prime factors of 11982.
2, 3, 1997
What are the prime factors of 77154?
2, 3, 7, 11, 167
What are the prime factors of 138497?
138497
List the prime factors of 153333.
3, 631
List the prime factors of 217.
7, 31
What are the prime factors of 2527?
7, 19
What are the prime factors of 147031?
147031
What are the prime factors of 6365?
5, 19, 67
List the prime factors of 3258.
2, 3, 181
List the prime factors of 270.
2, 3, 5
What are the prime factors of 30195?
3, 5, 11, 61
List the prime factors of 2395.
5, 479
List the prime factors of 19859.
7, 2837
List the prime factors of 314.
2, 157
List the prime factors of 860.
2, 5, 43
What are the prime factors of 631?
631
What are the prime factors of 697?
17, 41
What are the prime factors of 4729?
4729
Lis | {
"pile_set_name": "DM Mathematics"
} |
+ 23 = -5*l, -l = -d - 1. Put l, -1, w in descending order.
w, -1, l
Suppose -571 = 3*x + 56. Sort -5, -3, x in decreasing order.
-3, -5, x
Let k be 43/(-9) - (-2 + -3). Sort 0.1, 0.06, -3/2, k in decreasing order.
k, 0.1, 0.06, -3/2
Suppose 0 = 2*d - 0*b - b + 4, -2*b = -2*d - 6. Let t be ((-5)/(-30))/(-2 - d). Sort t, 0.09, -0.4.
-0.4, t, 0.09
Suppose 5*y = 2*y. Suppose -2*j - 4 + 12 = y. Sort -6, 1, j in decreasing order.
j, 1, -6
Let b = 13 - 6. Suppose 5*h + 8 + b = 0. Let n = 4 + h. Sort 4, n, -2 in decreasing order.
4, n, -2
Let j = 217 + -220. Sort j, -5, 13 in decreasing order.
13, j, -5
Let w = -0.23 + 0.85. Let i = -1.12 + w. Let l = 1.1 - 0.1. Sort l, -1, i in descending order.
l, i, -1
Let p = 1.027 - -0.973. Sort p, -3, 4/7, -1 in descending order.
p, 4/7, -1, -3
Let f = 7 + -7. Let b be 0 - ((-1)/((-3)/(-6)) + f). Suppose -3*x + 0*x - 12 = 0. Sort x, -1, b in ascending order.
x, -1, b
Let o = 648 + -651. Put 1/3, -0.1, o in decreasing order.
1/3, -0.1, o
Let c = -5 - -3. Suppose 0 = -5*t - i - 0*i - 5, 3 = -3*t + 4*i. Put c, t, -3 in decreasing order.
t, c, -3
Suppose 0 = -13*b - 29*b - 1344. Put 2, b, -3, -4 in decreasing order.
2, -3, -4, b
Let l be -2 + 1/(-7)*-12. Let g be 10/30 - (42/34)/3. Let i = g + 7/17. Sort i, l, -0.2 in descending order.
i, -0.2, l
Let o = -54/11 - -475/99. Suppose s = 5*p + 7, 3*s = -5*p + 3 - 22. Sort p, 0.3, o in descending order.
0.3, o, p
Let j = 671 - 675. Let u be (6/8)/((-5)/20). Sort -2/9, j, u in descending order.
-2/9, u, j
Let u = 6 + -6.12. Let l = u + 9.12. Let q = l + -9.2. Sort q, 4, -1/14 in decreasing order.
4, -1/14, q
Suppose 7*w = 2*w + 75. Suppose -w = -4*q + 17. Let v be ((-12)/(-16))/(2/q). Put 5, -4, v in ascending order.
-4, v, 5
Let n = 281 + -278. Sort 5, n, -1, -4 in descending order.
5, n, -1, -4
Let c be (-34)/(-12) - (-8 - -3 - -8). Sort -2/3, c, -9.
-9, -2/3, c
Let p = 446917/53634 - -92/1277. Let j = p - 17/2. Sort 3, j, -0.5 in decreasing order.
3, j, -0.5
Let r be (-6)/21 + 46/14. Suppose -d + 2 = k - 5*d, -6 = -r*k - 3*d. Suppose 9*a = 10*a + k. Sort a, 1/7, 2 in decreasing order.
2, 1/7, a
Let h = 2.7 + -21.7. Let i = -18.5 - h. Sort -2/3, i, -10 in descending order.
i, -2/3, -10
Let z be (-76)/190 + 23/(-5). Suppose 5*c = 2*y - 130, 7*y - 2*y - 145 = 5*c. Put z, c, -3, 4 in increasing order.
c, z, -3, 4
Let x = 1527 + -1526. Put -2/5, 17, x, 0.1 in descending order.
17, x, 0.1, -2/5
Let x = -237 + 241. Sort x, -4, 15 in descending order.
15, x, -4
Suppose -4*x + 36 = -12. Let a = x - 13. Suppose -4*k + 2 = -4*y - 2*k, 4*k - 11 = y. Sort a, 8, y in ascending order.
a, y, 8
Suppose -5*w = -4*m - 25 + 106, 0 = w + 5*m - 7. Sort -2, w, 4 in increasing order.
w, -2, 4
Let z = 15.1 + -15. Let j = -42 - -39. Sort -16, j, z in increasing order.
-16, j, z
Let b be (0 + 2 - 3)/(19/(-2356)). Let c = b - 125. Put 0, 31, c in decreasing order.
31, 0, c
Let i(r) = -r**2 + 12*r + 11. Let x be i(16). Put -1, x, 4 in decreasing order.
4, -1, x
Let w be (-1)/((-84)/(-146)) - -1. Let j = 433/6006 + -2/3003. Let r = j + w. Put 1/3, r, -1/3 in increasing order.
r, -1/3, 1/3
Let p be (-4)/18 + 68/(-18). Let c be (2 - 4 - -2) + -1. Suppose -l - 5*y - 12 = 3*l, 2*y + 8 = 0. Sort l, c, p in decreasing order.
l, c, p
Suppose 4*l = -2*l - 0*l. Put 1, -1/12, l in decreasing order.
1, l, -1/12
Let o = -0.11 - 4.89. Let v = o - -4.6. Sort -5, -0.07, v in ascending order.
-5, v, -0.07
Let j = -139 + 75. Let p = 63.6 + j. Let a = 0.2 - -0.3. Sort -1, p, a.
-1, p, a
Let c = -1.497 + 1.56. Let m = c + 1.937. Let h = -97/280 - 3/56. Sort -2, m, h in decreasing order.
m, h, -2
Let g = 16 + -13. Suppose s - 2 = 3*x + g, -x = -5*s - 17. Let a be 2/(s - (3 + -5)). Put 1, a, -3 in descending order.
1, a, -3
Let t = 7 + -7.1. Let w = -8 - -4.1. Let x = w + t. Sort x, 4/9, -0.1.
x, -0.1, 4/9
Suppose -8 = -9*w + 28. Let k = -0.82 + -0.08. Let v = 0.6 + k. Put 2, w, v in decreasing order.
w, 2, v
Let o = 84.135 - 0.135. Let q = o - 84. Sort -3/4, -2, q.
-2, -3/4, q
Let h = -2 + 1.6. Let u = 317 + -6021/19. Let b = -1150/7 - -164. Put u, h, b in descending order.
u, b, h
Let l = 38 + -38. Suppose l*q = -q - 6. Put q, -1, 2 in increasing order.
q, -1, 2
Let s = 1121/1925 - 3/275. Put -6, -1/2, -24, s in increasing order.
-24, -6, -1/2, s
Suppose 0 = -r + 5*v + 20, r = -5*v + 2 - 12. Let c = 98 + -97. Put c, 13, r in increasing order.
c, r, 13
Let t be (-2)/(-15) - (-438)/90. Suppose 0*x - x - 3 = 0. Let w(q) = -2*q - 6. Let n be w(-5). Put x, n, t in descending order.
t, n, x
Let n = 91 - 95. Sort -16, 8, n in descending order.
8, n, -16
Let t = -18 - -19. Let r(l) = 2*l**3 - 3*l**2 + l + 1. Let s be r(t). Sort s, -9, -1 in descending order.
s, -1, -9
Let z = 13 + -94. Put z, -3, -4 in increasing order.
z, -4, -3
Let o = 0.96 + -1. Let c = 3.225 + -0.245. Let j = c + 0.02. Sort j, o, 4 in increasing order.
o, j, 4
Let c(t) = t**3 - 26*t**2 - 28*t + 29. Suppose -5*j = -2*p + 79, 8*p - 155 = 3*p + 4*j. Let r be c(p). Put r, -1, 0, 5 in ascending order.
-1, 0, r, 5
Let a = 19.983 - -0.017. Let i = 18 - a. Let u = i - -7. Sort 3, 3/7, u in increasing order.
3/7, 3, u
Suppose 1 = 3*g - 11. Let i(v) = 2*v**2 + 8*v + 6. Let p be i(-3). Put 5, p, g in decreasing order.
5, g, p
Suppose 12 - 13 = -y + 2*d, -3*y + 5*d = -4. Suppose -4*u - g = -2*u + 6, -3*u = -2*g + 23. Sort u, -2, y.
u, -2, y
Let b = -8 - -2. Let i be ((-4)/b)/(15/(-9)). Let h = -132 - -133. Sort 3/2, h, i in ascending order.
i, h, 3/2
Let t = -535 - -537. Let k be 2/(-1) + 2 + 0. Suppose k = y - 5*y + 20. Put t, y, -3 in descending order.
y, t, -3
Let d(g) = -g**2 - 4*g + 1. Let j be d(-3). Let y = 42 + -32. Let f(s) = -5*s + 47. Let a be f(y). Put 5, j, a in decreasing order.
5, j, a
Let h = 3.6 - 3. Let f = -5055 + 5058. Sort f, h, -0.2, 4 in decreasing order.
4, f, h, -0.2
Let p = -39 - -36. Let z be 6/(3 - (p + 1)) + -1. Sort z, -6/7, -2/19.
-6/7, -2/19, z
Let h = 3 + -2.9. Let y be ((-25)/30)/((-40)/15 + 2). Sort -0.1, y, h in decreasing order.
y, h, -0.1
Let w = -8 + 7.5. Let x = w + 2.5. Let f = 4 - 9. Sort f, 3, x.
f, x, 3
Let j(z) = -39*z + 83. Let h be j(2). Sort 51, h, 0, -3 in increasing order.
-3, 0, h, 51
Suppose 0*r + 27 = -9*r. Let u = -0.9 + 1. Let b = u - -0.3. Put r, b, 2/15 in increasing order.
r, 2/15, b
Let y(q) = 10*q + 531. Let x be y(-57). Sort -3, -5, x, 4 in descending order.
4, -3, -5, x
Suppose -62*g = -71*g + 36. Put 2, g, 3, -4 in decreasing order.
g, 3, 2, -4
Let v be -5 - -1 - (186/(-33) + 4). Let t = 100/33 + v. Sort 4/3, 2/9, -3, t in decreasing order.
4/3, t, 2/9, -3
Let w = -5.12 - -10. Let f = w - -0.12. Let v = -2.3 - -2. Sort f, v, 2.
v, 2, f
Let r be -2*-2*3/(-18). Let t = -146.5 + 147. Put r, t, -9 in descending order.
t, r, -9
Let z = 5/46 + -14/23. Sort 0.29, 0, z, 1/7 in decreasing order.
0.29, 1/7, 0, z
Let j = -67 + 29. Let m = j + 77. Let i = m + -38.9. Sort -1/5, i, -5 in ascending order.
-5, -1/5, i
Suppose 0*k = -5*f - 2*k + 14, -4*f + k + 19 = 0. Suppose 0 = 4*r - 4*y - 28, 0 = -3*y + 1 - 13. Sort f, r, 5, -1.
-1, r, f, 5
Suppose -2*f = 3*f - 25. Suppose -f*h + 78 = 53. Sort 4, 1, h in descending order.
h, 4, 1
Let z be 3/(-27)*-3*6. Let i be 8/7 - (-8)/(-56). Put -4, i, z in descending order.
z, i, -4
Let n = 1623 + -1627. Put n, -1, 1.4, 0 in descending order.
1.4, 0, -1, n
Let g = 933/7 + -133. Let u = -1.746 + 0.746. Sort u, 0.08, g.
u, 0.08, g
Let u = 50.8 - 51. Sort u, -7, -0.3, 5 in descending order.
5, u, -0.3, -7
Suppose -12 = -7*c + 3*c. Suppose 4*m + h = 13, 3*m = -c*h + 7 + 14. Let v = -5.5 - -5. Sort v, m, -4.
-4, v, m
Let z = -21 - -30. Let t = -1.91 + -0.09. Let c = t + z. Sort -0.5, c, 0.3.
-0.5, 0.3, c
Let k(u) = -u**3 + 9*u**2 - 5*u - 4. Let f be k(8). Let p = f + -23. Let a = p - 0. Put a, 2, 5 in decreasing order.
5, 2, a
Suppose 0 = 12*r + 22*r - 170. Sort 8, -5, r, -1 in increasing order.
-5, -1, r, 8
Let v = 0.4 + -0.7. Let q(j) = 0*j**2 - 5*j - j**2 - 5 - 4 - j**2. Let h be q(-3). Sort v, h, -3.
h, -3, v
Let n = 3 - 1. Suppose 6*x + 22 = 28. Suppose 5*s - 5*l + 5 = -l, -s - n*l = x. Put -1/4, s, 1 in increasing order.
s, -1/4, 1
Let h(s) = -s**3 + 35*s**2 + 35*s + 37. Let d be h(36). Put -111, d, -1 in descending order.
d, -1, -111
Suppose 0 = -3*v - 5*u + 34, 4*v + 4 = | {
"pile_set_name": "DM Mathematics"
} |
(-4).
-7
Let w(l) = 14*l - 100. What is w(6)?
-16
Let v(y) = -6*y + 16. Give v(6).
-20
Let c(p) = p**3 + 29*p**2 + 29*p - 18. What is c(-28)?
-46
Let w(f) = -6*f**3 - f. Determine w(-1).
7
Let z(c) = -c**2 + 6*c - 5. Determine z(5).
0
Let d(a) = -a**2 - 6*a + 19. Calculate d(-8).
3
Let b(a) = 2*a**2 + 15*a - 67. Determine b(3).
-4
Let a(p) = p**2 + 3*p - 2. Determine a(-3).
-2
Let k(m) = -m**3 - 7*m**2 + 5*m - 4. Determine k(-8).
20
Let m(f) = -8*f + 3. Determine m(5).
-37
Let y(d) = -d**3 - d**2 - d + 4. What is y(-2)?
10
Let i(l) = -3*l**3 + 39*l**2 - 3*l + 24. Give i(13).
-15
Let h(z) = -4*z**3 + 3*z - 2. What is h(1)?
-3
Let g(x) = 7*x + 23. Determine g(-4).
-5
Let a(n) = 137*n + 665. Determine a(-5).
-20
Let x(h) = -29*h + 23. Calculate x(1).
-6
Let w(y) = -6*y**3 + y**2 - y - 1. Determine w(-1).
7
Let p(v) = -v**3 + 13*v**2 + 33*v - 28. Determine p(15).
17
Let d(t) = t**2 + 13*t + 32. Give d(-3).
2
Let r(m) = -17*m - 782. Determine r(-46).
0
Let d(y) = y - 21. Give d(0).
-21
Let q(j) = 16*j + 224. What is q(-13)?
16
Let b(j) = -3*j**2 - 28*j + 149. Determine b(-13).
6
Let x(j) = j**2 - 9*j + 15. Determine x(8).
7
Let y(n) = -2*n**2 - 7*n + 45. What is y(4)?
-15
Let u(w) = -w + 1. Give u(-7).
8
Let x(l) = -l**2 - 12*l + 40. Calculate x(-15).
-5
Let u(z) = 2*z**3 + 7*z**2 - 17*z - 25. Determine u(-4).
27
Let f(w) = -w**3 - 13*w**2 + w + 3. What is f(-13)?
-10
Let g(l) = 2*l + 5. What is g(3)?
11
Let u(k) = 4*k + 14. Calculate u(-7).
-14
Let j(m) = -m + 9. Calculate j(6).
3
Let u(c) = 55*c - 540. What is u(10)?
10
Let u(j) = 3*j - 64. Determine u(19).
-7
Let f(a) = -a**2 - 3*a + 4. What is f(-2)?
6
Let s(c) = -c**3 + 12*c**2 - 17*c + 28. What is s(10)?
58
Let n(p) = -4*p - 2. What is n(-4)?
14
Let u(q) = -9*q - 26. Give u(0).
-26
Let z(b) = 6*b**2 - 3*b + 2. Determine z(1).
5
Let x(h) = -h**3 + 10*h**2 + 13*h - 10. Calculate x(11).
12
Let f(g) = -6*g - 3. Give f(-9).
51
Let x(n) = 50*n**2 + 4*n + 2. Calculate x(-1).
48
Let f(h) = -11*h**2 - 5*h + 23. Calculate f(3).
-91
Let z(m) = -3*m. What is z(5)?
-15
Let h(a) = 4*a - 22. What is h(7)?
6
Let g(q) = q**2 + 4*q + 7. Determine g(-3).
4
Let d(u) = u**2 - 33*u + 199. Determine d(24).
-17
Let r(i) = -i - 4. Determine r(0).
-4
Let a(l) = -176*l + 526. Determine a(3).
-2
Let q(y) = -2*y - 31. What is q(-5)?
-21
Let w(u) = u**2 - 8*u + 20. Give w(6).
8
Let v(d) = d**2 + 10*d - 24. Calculate v(-12).
0
Let i(j) = 33*j + 237. What is i(-7)?
6
Let x(p) = -21*p - 238. Calculate x(-11).
-7
Let h(j) = -30*j - 2. Determine h(0).
-2
Let n(p) = -3*p**2 - 68*p + 6. What is n(-24)?
-90
Let h(m) = -m**3 - 9*m**2. What is h(-9)?
0
Let p(x) = -2*x**3 - 5*x**2 - 3*x + 10. Give p(-3).
28
Let o(k) = k**2 - 11*k + 8. Give o(11).
8
Let n(s) = 3*s - 28. Calculate n(13).
11
Let v(q) = q**2 - 9*q + 22. Determine v(4).
2
Let z(q) = -4*q. What is z(4)?
-16
Let z(s) = s**3 - 11*s**2 - 8*s - 26. Determine z(12).
22
Let t(u) = 2*u**2 + 7*u + 3. Give t(-7).
52
Let n(z) = z**2 + 11*z + 8. Determine n(-5).
-22
Let f(n) = -n**2 + n + 69. Give f(9).
-3
Let n(z) = z**3 - 5*z**2 - z + 5. Calculate n(4).
-15
Let j(h) = 23*h**2 - h + 1. Give j(1).
23
Let a(w) = -22*w - 94. Determine a(-4).
-6
Let q(y) = -y**3 + 10*y**2 - 7*y - 6. Calculate q(9).
12
Let t(b) = -72*b + 360. Determine t(5).
0
Let v(h) = -h + 15. Give v(21).
-6
Let k(d) = -d**3 + d**2 + 3*d - 9. Determine k(5).
-94
Let u(s) = -2*s**3 + 4*s**2 - 4*s - 4. Calculate u(4).
-84
Let s(d) = -16*d**2 - 4*d + 3. Determine s(1).
-17
Let q(y) = -2*y + 21. What is q(-18)?
57
Let v(u) = u**2 - 11*u + 6. Determine v(8).
-18
Let b(l) = -8*l - 166. Determine b(-20).
-6
Let u(f) = -f**2 + 16*f + 163. What is u(23)?
2
Let i(l) = l**3 + 11*l**2 + 12*l + 22. Determine i(-10).
2
Let z(x) = 45*x + 475. Determine z(-11).
-20
Let h(i) = -2*i**3 - 3*i**2 - 2*i - 1. What is h(-3)?
32
Let n(o) = 2*o**2 + 33*o + 61. Give n(-16).
45
Let b(o) = -o**2 + 4*o + 25. Give b(7).
4
Let g(w) = w**2 + 14*w - 14. What is g(-15)?
1
Let c(m) = -7*m**3 + 7*m - 2. What is c(3)?
-170
Let d(i) = -4*i**2 - 3*i + 3. Determine d(-3).
-24
Let t(v) = v**3 - 5*v**2 - 3. Give t(5).
-3
Let y(o) = -7*o - 41. Determine y(-5).
-6
Let i(n) = 3*n + 4. Determine i(-7).
-17
Let a(h) = h**3 + 9*h**2 - 9*h + 7. Give a(-10).
-3
Let d(p) = -9*p - 10. Determine d(-4).
26
Let d(o) = 22*o + 12. Calculate d(-1).
-10
Let c(g) = g**3 + 27*g**2 + 184*g + 26. Calculate c(-14).
-2
Let w(b) = -b - 23. Give w(-13).
-10
Let k(y) = -y**2 + 9*y - 6. What is k(7)?
8
Let t(l) = -l**2 - 10*l + 16. Determine t(-11).
5
Let y(r) = -r**2 - 116*r - 665. Calculate y(-6).
-5
Let q(c) = c**3 - 7*c**2 + 8*c - 3. Give q(4).
-19
Let i(a) = 20*a + 107. Determine i(-6).
-13
Let a(s) = s**2 + 9*s + 11. Calculate a(-6).
-7
Let d(q) = 4*q - 39. What is d(21)?
45
Let n(d) = -d**3 - 16*d**2 + 15*d - 37. Determine n(-17).
-3
Let g(l) = l**2 - 6*l - 11. Determine g(7).
-4
Let o(s) = -2*s**3 + 12*s**2 + 3*s + 2. Calculate o(6).
20
Let c(j) = 2*j + 3. What is c(0)?
3
Let z(a) = -a**3 + 7*a**2 + 2*a + 1. Give z(5).
61
Let d(x) = x**3 - 2*x**2 + 4*x - 2. What is d(2)?
6
Let u(d) = -d**2 + 10*d + 43. What is u(14)?
-13
Let u(j) = -8*j - 49. Give u(10).
-129
Let u(y) = -y**2 - 16*y - 11. Calculate u(-10).
49
Let a(q) = -2*q**2 - 1. Give a(-1).
-3
Let j(m) = -m**3 + 6*m**2 - 3. Give j(6).
-3
Let f(j) = -3*j**3 + 16*j**2 + 8*j + 20. Calculate f(6).
-4
Let p(l) = -2*l**3 + 6*l**2 - l + 2. Determine p(4).
-34
Let z(n) = 5*n**2 - 3. Give z(-1).
2
Let x(v) = -2*v + 23. Determine x(9).
5
Let o(z) = 3*z - 2. Calculate o(-8).
-26
Let g(i) = -i**3 + 6*i**2 + 8*i - 3. Give g(7).
4
Let k(x) = -24*x**3 + x**2 + 4*x + 3. Calculate k(-1).
24
Let u(c) = -3*c + 1. Give u(6).
-17
Let l(u) = -49*u**2 + 4*u - 4. Give l(1).
-49
Let g(i) = -i**2 + 11*i - 25. Calculate g(3).
-1
Let p(x) = -x**3 - 20*x**2 - 22*x - 63. Determine p(-19).
-6
Let s(l) = -l**3 + 11*l**2 - l + 11. Calculate s(11).
0
Let d(v) = v**3 + 22*v**2 + 23*v + 32. What is d(-21)?
-10
Let g(d) = -d**3 - 6*d**2 + 4*d - 2. Determine g(-7).
19
Let m(g) = -14*g - 4. Calculate m(-1).
10
Let w(r) = -3*r + 11. What is w(-10)?
41
Let c(l) = l**3 + 15*l**2 + 16*l + 33. What is c(-14)?
5
Let s(v) = 5*v + 80. Calculate s(-12).
20
Let u(t) = -t**3 - 11*t**2 - 12*t + 2. Give u(-9).
-52
Let o(r) = 53*r - 107. Calculate o(2).
-1
Let s(r) = -r**3 - 10*r**2 - 10*r + 7. Calculate s(-9).
16
Let o(i) = -4*i - 21. What is o(-5)?
-1
Let o(c) = 4*c**2 + 16*c + 16. Determine o(-4).
16
Let u(r) = -r**3 + 2*r**2 + 3. Give u(2).
3
Let n(z) = 4*z**3 + 3*z**2 + z + 2. Give n(-2).
-20
Let a(o) = 9*o - 30. Determine a(2).
-12
Let a(p) = p**2 - 7*p - 6. Calculate a(9).
12
Let x(h) = h**3 + 4*h - 6. Calculate x(0).
-6
Let y(l) = -116*l + 1048. What is y(9)?
4
Let s(r) = -r**3 + 12*r**2 - 10*r - 5. Determine s(11).
6
Let l(p) = p**2 - 5*p - 59. Calculate l(-6).
7
Let r(j) = j**3 + 4*j**2 - 9*j - 3. What is r(4)?
89
Let w(g) = -2*g + 32. Give w(12).
8
Let s(f) = -5*f**2 - 3*f - 5. Calculate s(-1).
-7
Let f(l) = 53*l + 414. Give f(-8).
-10
Let m(q) = q + 19. What is m(-13)?
6
Let k(f) = 2*f**2 - 10*f - 2. Determine k(7).
26
Let k(b) = -b**3 - 5*b**2 - 12*b - 12. Determine k(-3).
6
Let t(p) = -p**2 - 4*p + 80. What is t(-10)?
20
Let p(n) = -103*n + 70. What is p(1)?
-33
Let v(l) = -l**3 + 10*l**2 - 45*l + 442. What is v(10)?
-8
Let d(q) = q**2 - 18*q + 51. What is d(12)?
-21
Let x(r) = -r - 51. What is x(9)?
-60
Let w(o) = o**2 - 7*o - 3. What is w(8)?
5
Let w(c) = c**3 - 6*c**2 - 4. What is w(5)?
-29
Let s(z) = z**2 + 7*z - 17. What is s(3)?
13
Let u(l) = -l**2 - 2*l - 1. Give u(-3).
-4
Let w(f) = f**3 - 6*f**2 - 7*f + 4. Give w(7).
4
Let m(t) = -2*t - 1. Give m(13).
-27
Let k(y) = -y**3 - 8*y**2 - 9*y + 17. What is k(-6)?
-1
Let w(b) = -b - 20. Calculate w(-5).
-15
Let h(g) = -g**3 - 2*g**2 + 22*g + 7. What is h(4)?
-1
Let l(p) = -2*p**3 + 7*p**2 + 2*p - 10. Give l(3).
5
Let d(b) = b**3 - 21*b**2 - 22*b + 32. What is d(22)?
32
Let d(m) = 8*m**3 + m**2 - 2*m + 1. Determine d(1).
8
Let h(t) = -t**2 - 11*t - 15. Give h(-8).
9
Let x(i) = -6*i - 22. Calculate x(-6).
14
Let c(q) = 9*q**3 + 2*q - 1. Determine c(1).
10
Let w(l) = l**2 - 3*l - 2. What is w(-2)?
8
Let m(x) = 9*x + 31. Calculate m(-4).
-5
Let u(y) = 8*y - 4. Determine u(5).
36
Let k(j) = 106*j - 21. Give k | {
"pile_set_name": "DM Mathematics"
} |
203)*(3*u + 1)**3/3
Factor 5*q**2 + 980*q - 1980.
5*(q - 2)*(q + 198)
Factor 3*t**2/4 - 75*t/2 + 1875/4.
3*(t - 25)**2/4
Determine j so that -35*j**4 - 445*j**3 - 990*j**2 - 380*j + 200 = 0.
-10, -2, -1, 2/7
Solve -36*x**4 + 136*x**3 + 212*x**2 + 40*x = 0.
-1, -2/9, 0, 5
What is a in -5*a**5 - 245*a**4 - 2255*a**3 + 20145*a**2 + 16200*a - 174960 = 0?
-27, -3, 4
Factor 2*q**3 - 26*q**2 + 60*q.
2*q*(q - 10)*(q - 3)
Factor -2*j**2/3 + 40*j + 122/3.
-2*(j - 61)*(j + 1)/3
Let -2*t**3/7 + 3968*t**2/7 - 1972090*t/7 + 3928324/7 = 0. What is t?
2, 991
Factor f**3 + 108*f**2 + 2916*f.
f*(f + 54)**2
Factor 3*g**3 - 48*g**2 + 153*g - 108.
3*(g - 12)*(g - 3)*(g - 1)
Find b, given that 4*b**3/7 - 12*b**2/7 - 40*b = 0.
-7, 0, 10
Factor -10*y**3 - 875*y**2 + 2240*y - 900.
-5*(y - 2)*(y + 90)*(2*y - 1)
Factor -a**3/3 - 8*a**2/3 + 19*a/3 - 10/3.
-(a - 1)**2*(a + 10)/3
Suppose -i**4 + 30*i**3 + 7*i**2 - 204*i - 180 = 0. What is i?
-2, -1, 3, 30
Solve -5*s**4 + 45*s**3 - 35*s**2 - 45*s + 40 = 0 for s.
-1, 1, 8
Let -2*t**4/9 + 14*t**3/9 - 16*t**2/9 - 56*t/9 + 32/3 = 0. What is t?
-2, 2, 3, 4
What is v in -14*v**3/9 - 74*v**2/9 - 104*v/9 - 8/3 = 0?
-3, -2, -2/7
Factor p**5/3 - 2*p**4 + 8*p**3/3 + 2*p**2 - 3*p.
p*(p - 3)**2*(p - 1)*(p + 1)/3
Factor p**2/5 - 68*p/5 + 67/5.
(p - 67)*(p - 1)/5
Determine z so that -5*z**5/2 - 5*z**4 + 25*z**3/2 + 25*z**2 - 10*z - 20 = 0.
-2, -1, 1, 2
Find l such that -3*l**3 + 24*l**2 + 117*l - 810 = 0.
-6, 5, 9
Factor -2*l**5/7 + 8*l**4/7 + 46*l**3/7 - 76*l**2/7 - 440*l/7 - 400/7.
-2*(l - 5)**2*(l + 2)**3/7
Let 5*m**5 - 55*m**4 - 485*m**3 - 425*m**2 = 0. Calculate m.
-5, -1, 0, 17
Factor -8*i**3 + 10*i**2 + 1054*i - 264.
-2*(i - 12)*(i + 11)*(4*i - 1)
Factor 2*d**3/5 + 18*d**2/5 + 6*d + 14/5.
2*(d + 1)**2*(d + 7)/5
Factor -2*z**2/13 + 688*z/13 - 59168/13.
-2*(z - 172)**2/13
Determine j so that -5*j**2 - 2690*j - 361805 = 0.
-269
Determine j, given that j**4/11 + 6*j**3/11 - 32*j/11 = 0.
-4, 0, 2
Factor g**5/4 - 4*g**3 + 4*g**2 + 12*g - 16.
(g - 2)**3*(g + 2)*(g + 4)/4
Factor -21*i**3 - 81*i**2 + 36*i + 96.
-3*(i + 1)*(i + 4)*(7*i - 8)
Factor -h**4 - 93*h**3 - 2883*h**2 - 29791*h.
-h*(h + 31)**3
Factor -v**2/6 + 347*v/3 - 120409/6.
-(v - 347)**2/6
What is j in -j**4/4 - 17*j**3/4 + j**2/4 + 17*j/4 = 0?
-17, -1, 0, 1
Find r such that 5*r**2 + 165*r + 700 = 0.
-28, -5
Suppose 2*a**4 + 64*a**3 + 668*a**2 + 2496*a + 3042 = 0. Calculate a.
-13, -3
Determine n so that -25*n**4 - 140*n**3 - 65*n**2 + 50*n = 0.
-5, -1, 0, 2/5
Factor 2*y**4 - 20*y**3 + 42*y**2.
2*y**2*(y - 7)*(y - 3)
Determine z so that z**4/4 - 57*z**3/4 + 1083*z**2/4 - 6859*z/4 = 0.
0, 19
Factor -q**2/3 - 203*q/3 - 200.
-(q + 3)*(q + 200)/3
Factor -2*k**3/11 - 10*k**2/11 - 4*k/11 + 16/11.
-2*(k - 1)*(k + 2)*(k + 4)/11
Factor -p**4/4 + 11*p**3/2 - 75*p**2/4 + 27*p/2.
-p*(p - 18)*(p - 3)*(p - 1)/4
Determine q so that -2*q**5/15 + 4*q**4/15 - 4*q**2/15 + 2*q/15 = 0.
-1, 0, 1
Suppose 2*o**3/7 + 36*o**2/7 - 78*o/7 - 2704/7 = 0. What is o?
-13, 8
Find c, given that -5*c**2 - 15500*c - 12012500 = 0.
-1550
Solve -w**5/2 + 7*w**4/2 + 57*w**3/2 - 603*w**2/2 + 756*w - 486 = 0 for w.
-9, 1, 3, 6
Suppose -10*v**4/11 - 4*v**3 - 26*v**2/11 + 56*v/11 + 24/11 = 0. Calculate v.
-3, -2, -2/5, 1
Factor 2*k**5 - 96*k**4 + 276*k**3 - 272*k**2 + 90*k.
2*k*(k - 45)*(k - 1)**3
Factor -3*w**2 - 42*w + 96.
-3*(w - 2)*(w + 16)
Suppose o**5/4 + 51*o**4/4 + 359*o**3/4 + 637*o**2/4 - 90*o - 172 = 0. What is o?
-43, -4, -1, 1
Factor -3*w**2 - 57*w - 54.
-3*(w + 1)*(w + 18)
Factor -2*r**4 + 402*r**3 - 26934*r**2 + 601526*r.
-2*r*(r - 67)**3
Determine n so that 3*n**4/4 - 3*n**3 - 72*n**2 = 0.
-8, 0, 12
Solve 3*q**5/4 + 180*q**4 + 19725*q**3/2 - 112500*q**2 + 1171875*q/4 = 0.
-125, 0, 5
Suppose -29*k**4/2 - 45*k**3 - 48*k**2 - 19*k - 3/2 = 0. What is k?
-1, -3/29
Factor 14*f**2 + 96*f + 1152/7.
2*(7*f + 24)**2/7
Factor -125*j**3 + 377*j**2 - 256*j + 4.
-(j - 2)*(j - 1)*(125*j - 2)
Determine z so that -1392*z**3 + 160*z**2 + 12*z = 0.
-3/58, 0, 1/6
Factor s**4/3 - 2*s**3 + 3*s**2.
s**2*(s - 3)**2/3
Suppose -4*k**4/7 + 612*k**3/7 - 608*k**2/7 = 0. What is k?
0, 1, 152
Factor -d**3/3 - 7*d**2 - 119*d/3 - 33.
-(d + 1)*(d + 9)*(d + 11)/3
Factor o**3 + 46*o**2 + 295*o - 342.
(o - 1)*(o + 9)*(o + 38)
Determine a so that 2*a**2/7 - 24840*a/7 + 77128200/7 = 0.
6210
Let 3*p**2/4 - 39*p/2 + 120 = 0. What is p?
10, 16
Determine m, given that m**2/3 - 7*m/3 = 0.
0, 7
Find c, given that 2*c**2/7 - 162*c/7 + 2176/7 = 0.
17, 64
Factor -2*r**5 + 26*r**4/5 + 12*r**3/5.
-2*r**3*(r - 3)*(5*r + 2)/5
Determine f so that 2*f**4/13 - 192*f**3/13 + 1090*f**2/13 - 900*f/13 = 0.
0, 1, 5, 90
Solve -20*v**3/9 + 58*v**2/9 + 2*v/3 = 0.
-1/10, 0, 3
Factor -3*f**3/2 - 22*f**2 - 117*f/2 + 22.
-(f + 4)*(f + 11)*(3*f - 1)/2
Factor 4*t**3 + 100*t**2 + 800*t + 2000.
4*(t + 5)*(t + 10)**2
Solve -u**4 - 15*u**3 + 101*u**2 + 15*u - 100 = 0.
-20, -1, 1, 5
Suppose -4*d**4/3 - 16*d**3/3 + 4*d**2/3 + 64*d/3 + 16 = 0. Calculate d.
-3, -2, -1, 2
Suppose 3*x**3 - 1368*x**2 + 2724*x = 0. Calculate x.
0, 2, 454
Let 5*f**4 - 5*f**3 - 10*f**2 = 0. Calculate f.
-1, 0, 2
Let -j**5/6 + j**4/3 + 18*j**3 + 215*j**2/3 + 325*j/6 = 0. What is j?
-5, -1, 0, 13
Solve 5*j**4 + 20*j**3 - 30*j**2 - 20*j + 25 = 0 for j.
-5, -1, 1
Find h such that -5*h**3 - 210*h**2 - 2940*h - 13720 = 0.
-14
Find w such that -w**4/4 - 7*w**3/4 - 17*w**2/4 - 17*w/4 - 3/2 = 0.
-3, -2, -1
Find y such that -3*y**2 + 1104*y - 101568 = 0.
184
Suppose 4*g**4/5 + 328*g**3 - 1648*g**2/5 - 328*g + 1644/5 = 0. Calculate g.
-411, -1, 1
Solve 4*v**2/5 - 76*v/5 - 264/5 = 0 for v.
-3, 22
Let -2*o**2/11 - 26*o/11 - 60/11 = 0. Calculate o.
-10, -3
Let 5*g**3 + 30*g**2 - 5*g - 30 = 0. Calculate g.
-6, -1, 1
Suppose -n**3 - 27*n**2 - 51*n - 25 = 0. Calculate n.
-25, -1
Factor -5*z**4 + 32*z**3 + 63*z**2 + 10*z - 16.
-(z - 8)*(z + 1)**2*(5*z - 2)
Factor 4*o**3 + 44*o**2 - 56*o - 96.
4*(o - 2)*(o + 1)*(o + 12)
Determine i so that 3*i**5 + 15*i**4 - 99*i**3 - 579*i**2 - 240*i + 900 = 0.
-5, -2, 1, 6
Factor 2*p**4/19 + 12*p**3/19 + 22*p**2/19 + 12*p/19.
2*p*(p + 1)*(p + 2)*(p + 3)/19
Factor -p**4/4 + 3*p**3 - 9*p**2.
-p**2*(p - 6)**2/4
Let -i**3/3 + 11*i**2/3 + i/3 - 11/3 = 0. Calculate i.
-1, 1, 11
Suppose 3*y**4 + 93*y**3 - 666*y**2 = 0. What is y?
-37, 0, 6
Factor -3*q**5/8 - 9*q**4/8 - 9*q**3/8 - 3*q**2/8.
-3*q**2*(q + 1)**3/8
Factor 14*k**2/5 + 872*k/5.
2*k*(7*k + 436)/5
Factor 4*v**5 - 12*v**3 + 8*v**2.
4*v**2*(v - 1)**2*(v + 2)
Let -2*u**4 + 16*u**3 - 26*u**2 + 12*u = 0. Calculate u.
0, 1, 6
Factor 6*t**5 - 28*t**4 + 16*t**3.
2*t**3*(t - 4)*(3*t - 2)
Factor 3*z**2 - 1200*z - 2412.
3*(z - 402)*(z + 2)
Factor -2*d**2/15 - 12608*d/15 - 19870208/15.
-2*(d + 3152)**2/15
Solve 2*d**3/11 + 1228*d**2/11 - 2462*d/11 + 112 = 0.
-616, 1
Determine q, given that -q**3/3 - 13*q**2 + q/3 + 13 = 0.
-39, -1, 1
Factor -2*q**4 + 2*q**3 + 8*q**2 - 8*q.
-2*q*(q - 2)*(q - 1)*(q + 2)
Determine g so that -98*g**5 - 1358*g**4 - 5618*g**3 - 8802*g**2 - 4860*g - 864 = 0.
-8, -3, -2, -3/7
Solve -4*c**4 - 20*c**3 - 12*c**2 + 20*c + 16 = 0.
-4, -1, 1
Factor -550*o**2/3 - 2194*o/3 + 8.
-2*(o + 4)*(275*o - 3)/3
Factor -656*i**3/5 + 526*i**2 - 2648*i/5 + 24/5.
-2*(i - 2)**2*(328*i - 3)/5
Suppose -5*u**2 + 1970*u - 5865 = 0. Calculate u.
3, 391
Factor u**3/5 - 2*u**2/5 - u + 6/5.
(u - 3)*(u - 1)*(u + 2)/5
Suppose -74*x**5/17 - 4*x**4/17 + 592*x**3/17 + 32*x**2/17 - 1184*x/17 - 64/17 = 0. Calculate x.
-2, -2/37, 2
Find u such that u**4/8 + 3*u**3/4 - 7*u**2/8 - 12*u - 18 = 0.
-4, -3, 4
Factor -r**2/2 - 537*r/4 + 269/4.
-(r + 269)*(2*r - 1)/4
Find q, given that -4*q**2 - 624*q - 24336 = 0.
-78
Determine g so that g**3/2 - 3*g**2/2 - 38*g + 144 = 0.
-9, 4, 8
Let -r**3/4 - 63*r**2/4 - 1323*r/4 - 9261/4 = 0. What is r?
-21
Factor -10*a**3 + 19*a**2 - 8*a - 1.
-(a - 1)**2*(10*a + 1)
Factor -2*s**4/15 - 2*s**3/15 + 6*s**2/5 - 22*s/15 + 8/15.
-2*(s - 1)**3*(s + 4)/15
What is q in q**4 + 323*q**3 - 976*q**2 + 652*q = 0?
-326, 0, 1, 2
Factor 4*j**2 - 1148*j + 10008.
4*(j - 278)*(j - 9)
Solve 5*y**3 + 3305*y**2 + 547800*y + 544500 = 0.
-330, -1
Factor m**3/4 - 15*m**2/4 + 18*m - 27.
(m - 6)**2*(m - 3)/4
Find j such that j**5 + 4*j**4 - 6*j**3 - 4*j**2 + 5*j = 0.
-5, -1, 0, 1
Let -4*q**5/5 + 8*q**4 + 44*q**3/5 = 0. What is q?
-1, 0, 11
Find g, give | {
"pile_set_name": "DM Mathematics"
} |
ppose 5*b - 145 = -3*f, -b + 5*f - 2 = -3. Calculate the remainder when b is divided by (-3)/((-15)/35) - 0.
5
Suppose 3*a + a = 112. Suppose -3*i - 80 = -17. Let f = 31 + i. Calculate the remainder when a is divided by f.
8
Let b(p) = p**2 - 11*p - 5. Let u be b(8). Let z = 62 + u. What is the remainder when z is divided by 17?
16
Let t(p) = -4*p**2 - 4*p**2 + 3*p**2 + 9 - 1 + 5*p - p**3. Calculate the remainder when (27/4)/((-1)/(-4)) is divided by t(-6).
13
Suppose 2 = -5*l - 3. Let z(f) = -f**2 + f + 39. What is the remainder when z(0) is divided by 19 + 2 + l/1?
19
Suppose -2*j + 6*j - 48 = 0. What is the remainder when 1/(-2) - 91/(-2) is divided by j?
9
Let i(k) = 22*k**2 + 3*k - k**3 - 14 + 2*k**3 - 35*k**2. Let w(a) = a**3 + 7*a**2 + 5*a + 7. What is the remainder when i(13) is divided by w(-6)?
12
What is the remainder when 26 is divided by (-3)/6 + 31/2?
11
Suppose s - 2*b + 7 = 2*s, 5*s + 4*b - 59 = 0. Suppose 4*j = -s + 51. Calculate the remainder when 34 is divided by j.
7
Let h(z) = -3*z. Let s(l) be the third derivative of l**5/60 + l**4/12 + 11*l**3/6 - l**2. Calculate the remainder when s(-6) is divided by h(-3).
8
Let s(a) = 3*a**3 - 14*a**2 + 16*a + 24. Let k(i) = i**3 - 7*i**2 + 8*i + 12. Let r(v) = 5*k(v) - 2*s(v). What is the remainder when 23 is divided by r(-8)?
11
What is the remainder when 67 is divided by (-665)/(-20) - 9/(-12)?
33
Let y(n) = -n - 7. Let q be y(-7). Suppose q = 4*t - 7*t + 12. What is the remainder when 6 is divided by t?
2
Let s be 74/(-10) - (-9)/(-15). What is the remainder when 1005/9 - s/(-12) is divided by 28?
27
Let u = -15 - 40. Let i = -26 - u. Calculate the remainder when i is divided by 8.
5
Let o = 58 - 31. Suppose -2*h + u - 37 = -6*h, 2*h - 14 = -2*u. What is the remainder when o is divided by h?
7
Let l(n) = 6*n**3 + 3*n**2 - 4*n + 2. What is the remainder when l(2) is divided by 14?
12
Suppose -4*d = d + 2*z - 90, -5*z - 25 = 0. Calculate the remainder when 38 is divided by d.
18
Let x be -1*(1 + -2 - 1). Suppose x*n - 6 = 8. What is the remainder when 20 is divided by n?
6
Let h(g) = g**2 - 10*g + 2. Calculate the remainder when 23 is divided by h(11).
10
Suppose -3*i + 22 = -2*i. Let j = i + -13. Calculate the remainder when j is divided by 3.
0
Let q = 14 - 7. Suppose -g - 2*g + 5*h = 17, -3 = 5*g - 2*h. Calculate the remainder when (1/1*13)/g is divided by q.
6
Let i = 4 + -4. Suppose 3*k - 7*k + 24 = i. Let g(u) = u**2. What is the remainder when k is divided by g(-2)?
2
Suppose j = 4*t - 9*t + 83, 4*t = -2*j + 70. What is the remainder when 45 is divided by t?
13
Suppose 2*k - 4*k = 0. Suppose 0 = -k*h - h + 6. Let f = -25 + 48. Calculate the remainder when f is divided by h.
5
Let t be (1 + -1)*(3 - 2). Let y(n) = -n**2 + 14. Calculate the remainder when 54 is divided by y(t).
12
Let f = 29 - -1. Calculate the remainder when 119 is divided by f.
29
Let f(x) = -x**3 + 7*x**2 + 4*x - 12. What is the remainder when f(5) is divided by 30?
28
Let m = -6 - -7. Let r = m + 17. What is the remainder when r is divided by 10?
8
Suppose -5*z - 2*d = -239, -2*d - 75 = -5*z + 156. What is the remainder when z is divided by 10?
7
Calculate the remainder when 19 is divided by 1*27/3 + 3.
7
Let v(i) = i**3 + 8*i**2 - 4*i + 5. Calculate the remainder when 71 is divided by v(-8).
34
Let c = 3 + -2. Let b be (-2)/((5/2)/(-5)). Suppose 9*z + 27 = 2*h + b*z, 19 = 4*h - 3*z. What is the remainder when c is divided by h?
0
Suppose o = -2*f + 2*o + 9, 4*o - 55 = -5*f. Let g = f - 3. Suppose -4*n = 3*p + 4, n - 2*n + 14 = -3*p. What is the remainder when g is divided by n?
0
Suppose -3*f + 2*z = -476, 3*z = 3*f - z - 484. Suppose 56 = -4*q + f. Calculate the remainder when q is divided by 13.
12
Let z(q) = 4*q**2 - 4*q + 5. Calculate the remainder when 51 is divided by z(2).
12
Let d = 23 + 5. Calculate the remainder when 109 is divided by d.
25
Let w = -15 + 30. Calculate the remainder when 5 is divided by (-1)/((w/(-9))/5).
2
Let k = 281 - 561. Suppose 4*b = 0, 0*a + b + 18 = 3*a. Calculate the remainder when ((-3)/2)/(42/k) is divided by a.
4
Let a(l) = -l - 5. Let j(b) = -b**2 - 8*b - 5. Let n be j(-8). Let p be a(n). Suppose p = 3*i - 36 - 21. What is the remainder when 36 is divided by i?
17
Suppose 2*b = m - 15, 0 = -5*m - b - 0*b + 86. Calculate the remainder when m is divided by -1*6 - (-240)/16.
8
Let g(r) = 10*r**2 + 3*r - 3. Let m be g(3). Let o = m - 68. Suppose 0*p + 22 = 2*h - p, 4*p + o = 3*h. Calculate the remainder when h is divided by 7.
5
Let v be 0/(3/((-6)/(-4))). Suppose v = 4*k - 90 - 90. Suppose 0*q - 3*c = 5*q - 51, 5*q - k = -5*c. What is the remainder when 22 is divided by q?
10
Calculate the remainder when 84 is divided by (3/(-6))/(2/(-116)).
26
Suppose 5*i = -5*x + 35, -i + 23 = -x + 4*i. Let t = 3 - 0. Calculate the remainder when t is divided by x.
1
Let v(f) = -f**3 + 3*f + 1. Suppose 12 = 6*c - 0. Calculate the remainder when v(-2) is divided by c.
1
What is the remainder when (-6 + 2)*(-703)/38 is divided by 2/(-4) - (-93)/6?
14
Let w = 105 + -63. Suppose -2*t = 4*i - w, -4*t - 6 = -2. What is the remainder when 41 is divided by i?
8
Let x = 0 - -4. Suppose 0*w = 4*w - 48. Suppose 6*m - m + 23 = 4*b, -4*m = w. What is the remainder when x is divided by b?
0
Suppose r = 4*r - 189. Let m = r + -35. Calculate the remainder when m is divided by 10.
8
Let m be 6/1 - (10 + -7). Suppose -i - m*l + 62 = 0, -5*l - 22 = -i - 0*i. Calculate the remainder when i is divided by 16.
15
Let m = 6 - 2. Suppose -5*s = h - 9, -2*h = m*s - 5*h + 8. Let z(o) = 9*o**2 - o. What is the remainder when z(s) is divided by 3?
2
Calculate the remainder when (-17)/2*(2 - 6) is divided by 12.
10
Let i(p) be the second derivative of p**3/3 + 3*p**2/2 - p. What is the remainder when i(11) is divided by 13?
12
Let q = 133 - 101. Calculate the remainder when q is divided by 18.
14
Let k = 19 + 25. Suppose -w = d + 3*w - 11, 2*w - k = -4*d. Let t(v) = -v**3 - 8*v**2 + 4*v - 13. Calculate the remainder when t(-9) is divided by d.
10
Let f(m) = -m + 15. Let q be f(12). Suppose 7*v - q*v + 2*s - 60 = 0, 4*v - 3*s = 60. What is the remainder when (-4)/(2/(-1))*14 is divided by v?
13
Suppose -2*u + 104 = -20. Calculate the remainder when u is divided by 21.
20
Suppose -3*n + 4*f + 19 = 6*f, -5*f = 5*n - 30. Calculate the remainder when 12 is divided by n.
5
Let y(p) = p**3 + 5*p**2. Let v be y(-5). Suppose v = -j - 4*j + 165. What is the remainder when -1 + j/3 + -3 is divided by 3?
1
Let w = 14 - -31. What is the remainder when w is divided by 16?
13
Let b = 5 - -7. Let y(s) = -6*s**2 - 2 + 6*s + s**2 + 4*s**2. What is the remainder when b is divided by y(3)?
5
Suppose -4*x + 3*k + 326 = 0, 77 = x - 0*x - 3*k. Suppose 5*q - x = -13. Suppose 58 = 4*z + q. Calculate the remainder when z is divided by 6.
5
Let c be 3*6/(-27)*6. What is the remainder when 19 is divided by 2/c*(-88)/4?
8
Let s = -52 + 68. What is the remainder when 79 is divided by s?
15
Suppose -14 = 2*o + 2. Suppose 5*m = -3*y + 64 - 20, -22 = -2*m + y. What is the remainder when m is divided by o/3*6/(-4)?
2
Let l(z) = -z**3 + 5*z**2 + 2*z - 1. Let x be l(5). Suppose -4*a - 50 = -x*a. Calculate the remainder when a is divided by 6.
4
Let v = 9 + -14. Calculate the remainder when 11 is divided by 1/(-5) - 36/v.
4
Suppose -u + 3*j - 72 = -4*u, -j + 82 = 3*u. Calculate the remainder when u is divided by 10.
9
Suppose 4*p + 15 = -p. What is the remainder when 24 is divided by (10/2)/(p + 4)?
4
Let g be 2*(-3)/(-6)*-2. Let t be (2/(-4))/(g/(-8)). Let n = t - -18. What is the remainder when 47 is divided by n?
15
Suppose 2*c = 7*c - 70. What is the remainder when (2 - (-3)/(-2))*106 is divided by c?
11
Let g(f) be the first derivative of f**3/3 + f**2/2 + f - 1. Calculate the remainder when 61 is divided by g(-6).
30
Let h(q) = -q**2 + 5*q - 2. Let p be h(6). Let u = -3 - p. Calculate the remainder when u is divided by 3.
2
Let f(b) = 4*b - 2. Let j = 0 + 6. Let h be ((-2)/4)/((-1)/j). What is the remainder when 18 is divided by f(h)?
8
Let i(h) = 2*h**2 + 2*h + 1. Suppose -3*u + 4 + 2 = 0. Let s(y) = -2*y + 1. Let c be s(u). What is the remainder when 37 is divided by i(c)?
11
Let h(v) = v**2 - 2*v. Let r = 18 - 2. What is the remainder wh | {
"pile_set_name": "DM Mathematics"
} |
d 3*z**5 - 7*z**5 - 12*z**5 + (-2*z + z - z)*(-4*z**4 + 2*z**4 + 3*z**4) + z**5 - 2*z**5 - z**5.
-20*z**5
Expand (-2*m**4 + 3*m**4 + 0*m**4)*(28*m + 13*m - 53*m).
-12*m**5
Expand (1 - 1 - 1)*(-1 - 13*h + 37*h - 16*h).
-8*h + 1
Expand (0*f - 2*f - f + f - 6*f + 4*f + (-f - f + 4*f)*(5 - 3 - 4) - 2 + f + 2)*(-f + 2*f + 0*f).
-7*f**2
Expand 3 + 12*l + 11*l - 22*l - 3*l**2 + (-2 - l + 2)*(-2*l + 3*l + l).
-5*l**2 + l + 3
Expand (-20*a - 14*a**4 + 20*a)*(-2 + 1 - 3*a + 4*a).
-14*a**5 + 14*a**4
Expand ((-15*v - 8*v + 6*v)*(0 - 1 - 1) + 0*v - v - v)*(4*v - v**3 - 4*v).
-32*v**4
Expand 5*t + t - 4*t + (1 + 2*t - 1)*(2 - 5 + 0).
-4*t
Expand (0*x**2 - 2*x**2 + 4*x**2)*(3*x**3 + x**2 - x**2) + (-7*x**2 - 3 + 7*x**2 + 3*x**3)*(2*x**2 + 3*x**2 - 3*x**2).
12*x**5 - 6*x**2
Expand (2*j - 2*j - j)*(-j**2 - 6*j**2 - 2*j + 2*j**2).
5*j**3 + 2*j**2
Expand (0*d + 2*d + 2*d)*(5*d - 8 + 8).
20*d**2
Expand (-17*s + 21*s + 40*s)*(2 - 1 + 3).
176*s
Expand (2 - 3 + 2)*(-43*l + 46*l - 1 + 3)*(0*l**3 - 2*l**3 - 3*l**3).
-15*l**4 - 10*l**3
Expand 5*r**5 - 6*r**5 - 3*r**5 + (r - 2*r + 0*r)*(2*r**4 + 2*r - 2*r).
-6*r**5
Expand (3*o**2 + o**3 - 3*o**2)*(3 - 3 + 3).
3*o**3
Expand -m**3 + 3*m - 3*m + (3*m**2 - 3*m**2 + m**3)*(5 + 1 - 4) + 3*m**3 + 2*m**3 - 2*m**3.
4*m**3
Expand (5 - 2 - 2)*(-5 - 8 + 2)*(-5*x + x + 2*x).
22*x
Expand (-5*s**3 - 3*s**2 + 3*s**2)*(-s - 2*s + s)*(4 - 8 - 7).
-110*s**4
Expand (-2*l**2 + l**2 - l**2)*(8*l - 25*l - 17*l).
68*l**3
Expand (0 + 0 + j)*(3*j**4 + 3*j**4 - 7*j**4) - j**5 - 3*j**5 + 3*j**5.
-2*j**5
Expand (-3*i + 0*i + 4*i)*(2*i + 0 + 0)*(12 + 5 - 5).
24*i**2
Expand (0*u**2 - 2*u**2 + 0*u**2)*(2 - 4 - 1 + 2 - 2 + 3 + (-3 - 2 + 7)*(-3 + 2 + 0)).
4*u**2
Expand (-3*g + g + g)*(-2*g + 2*g + 2*g**4) + 0*g**5 - 2*g**5 + 6*g**5.
2*g**5
Expand (-p - 2*p + 5*p + 3)*(4*p**3 - 2*p**3 - 6*p**3).
-8*p**4 - 12*p**3
Expand (0*b**3 - b**3 + 3*b**3)*(0 + 0 - b)*(3*b + 0*b + 2*b).
-10*b**5
Expand (2*x**2 + 5*x**2 - 5*x**2)*(-x**2 + 0*x**3 + 4*x**2 + 2*x**3).
4*x**5 + 6*x**4
Expand (-r**3 + 3*r**3 + r**3)*(0*r + r - 3*r - 1 + 2*r**2).
6*r**5 - 6*r**4 - 3*r**3
Expand 4*x**5 - 3*x**5 - 3*x**5 + (-1 + 0 + 0)*(-3 + 2*x**5 + 3) + x**4 - x**5 + 2*x**4 - 6*x**4.
-5*x**5 - 3*x**4
Expand (5*o**2 - 6*o**2 + 3*o**2 + 2)*(-o**2 + 2*o - 2*o).
-2*o**4 - 2*o**2
Expand (0 + 3 + 0)*(3*g + g - 2*g)*(-4 - 4 + 4).
-24*g
Expand a + 2*a - 5*a + (a + a - 3*a)*(2 + 5 - 3).
-6*a
Expand (2 - 4 - 1)*(-3 - 2 + 4)*(j + 0 + 0).
3*j
Expand (21*a + 42*a + 61*a)*(-2*a + 1 - 1) + 2 + a**2 - 2.
-247*a**2
Expand 2*j - 37*j**2 + 7*j**2 + 17*j**2 + (-1 + 2*j + 1)*(3*j - j - 3*j).
-15*j**2 + 2*j
Expand (5*v - 4*v - 3*v)*(3 - 3 - 2).
4*v
Expand -z**5 + 4*z - 4*z + 2*z**5 + 0*z**5 + 0*z**5 + (-4 + 4 - 2*z**5)*(0 + 1 + 1) + 15*z**4 - 9*z**5 - 15*z**4.
-12*z**5
Expand (7*i - 29*i - 6*i)*(-3*i**4 - 2*i**4 + 3*i**4).
56*i**5
Expand 0*h - 3*h + h + 4*h - h - 2*h + (-4*h + h + h)*(5 - 5 - 1) + (-1 + 1 + 1)*(2*h - 3 + 3).
3*h
Expand (-2*x + 5 - 4 + 0*x)*(-2 + 11 + 4).
-26*x + 13
Expand 0*w**2 - w**5 + 0*w**2 + (0*w**5 - 5*w**5 + 4*w**5)*(2 - 3 + 2) + 23*w**5 + 24*w**5 + w**5 + (1 + 0 - 3)*(-w**5 + 0*w**5 - w**5).
50*w**5
Expand (-2*h**3 + 0*h**3 - h**3)*(0 + 0 + 1)*(0*h**2 - 3*h**2 + 0*h**2).
9*h**5
Expand (-5*q + 5*q - q**4)*(0 + 0 - 3*q)*(-1 + 3 + 0).
6*q**5
Expand 2*p**3 + 0*p**3 - p**3 + (-4 - 1 + 2)*(p**3 - p**3 - 3*p**3).
10*p**3
Expand 0*y**2 - 1 - 3*y**2 + 5*y**2 + 2 - 2 + y**2 + (3 - 3 - y)*(2*y + 5*y - 3*y).
-y**2 - 1
Expand 0 + 0 - 2*t**3 + (-48*t + 40*t + 26*t)*(0*t**2 - t**2 - 2*t**2 + t + t**2 - t + (-1 - t + 1)*(-4*t + t + 4*t) - 3*t - t**2 + 3*t).
-74*t**3
Expand (-4 + 2*n**2 + 4)*(-5 + 32 + 2)*(2*n + n - 2*n)*(n - 2*n + 2*n).
58*n**4
Expand -6*o**3 + 6*o**3 - o**4 + (45*o - o**3 - 45*o)*(-5*o + o + 2*o).
o**4
Expand -8*j**3 + 5*j**2 + 3*j**3 - 4*j**2 + 3*j**2 - 4*j**3 - 3*j**2 + j**3 - j**2 + j**2 + (-4 + 4 - 2*j**2)*(-2*j + 3*j - 3*j).
-4*j**3 + j**2
Expand -2*p**2 + 0 + 0 + (2 - 2 - p)*(1 - 1 + p) - 5 + 6*p**2 + 7 + 0*p**2.
3*p**2 + 2
Expand (-3 - 3 + 5)*(-3*g**2 + 0*g**2 + g**2)*(-19*g**3 - 81*g + 81*g).
-38*g**5
Expand ((-2 + 2 + 2)*(-2*c**2 + 4*c**2 - c**2) + 2*c**2 - 1 + 1 - 3*c - 2*c**2 + 3*c)*((4 - 5 + 5)*(-5*c + 4*c + 2*c) + c + 2*c - 2*c).
10*c**3
Expand (-4 - 2*a + 4)*(a + a - 4*a) + (4*a - 10*a - a)*(-1 + 1 + a).
-3*a**2
Expand -15*v**5 + 2 - v - 30*v**3 + 30*v**3 + 0 + v**5 + 0 + (-3*v**3 - 2*v**3 + 7*v**3)*(1 - 1 + v**2).
-12*v**5 - v + 2
Expand 2*q + 3*q**2 - 2*q + (-3*q + 5*q - q)*(3*q - 3*q + q).
4*q**2
Expand -2*b**2 + 4*b**4 + 2*b**2 + 0*b**4 - 3*b**4 + b**4 - 2*b**3 + (b**3 - 3*b**2 + 3*b**2)*(-1 + 1 + 2*b) - b + b + b**4.
5*b**4 - 2*b**3
Expand (0*z**2 - 5*z**2 + 6*z**2)*(-6 + 1 + 1)*(-3*z - 3*z + z).
20*z**3
Expand (0*w + 3*w - 5*w)*(w**3 - w**3 + w**3) - 12*w**4 - 18*w**4 + 11*w**4.
-21*w**4
Expand (-w**2 - 3*w**2 + 5*w**2)*(3*w - 7*w + 3*w - 1) + 2*w**3 + 1 - 1.
w**3 - w**2
Expand (2*w - 7*w + 2*w)*(-2*w**3 - 2*w**3 + 2*w**3)*(-2*w - 3*w + 7*w).
12*w**5
Expand h**4 + 0*h**2 + 0*h**2 + (2 - 3 + 0)*(5*h**4 - 3*h**4 - 3*h**4) + 5 - 10 + h**4 + 0*h**4.
3*h**4 - 5
Expand (3 - 1 - 1)*(0*t - 4*t + 6*t)*(-4 + 6 - 3).
-2*t
Expand (p - 2*p - p)*(-2*p**3 + 0*p**3 + 3*p**3) + 3*p**3 - 2*p**4 - 3*p**3 + 2*p**4 + 1 - 1 + (-5*p + p + 5*p)*(-p**3 - p**3 + 0*p**3).
-4*p**4
Expand 5*c - c - 5*c - 4*c - 3*c + 5*c + (2*c - 2*c - c)*(-2 + 1 + 0) - c + c - 2*c + (5 - 4 - 3)*(c - 3*c + 3*c).
-6*c
Expand (h**3 - 2*h**3 + 3*h**3)*(h**2 + 3*h**2 - 3*h**2) - 2*h**5 + 3*h**5 + 0*h**5 - 11*h**5 - 7*h**5 + 92*h**5.
77*h**5
Expand 96 + 8*q**4 - 93 + 3*q**4 + (0*q**3 + 6*q**3 - 4*q**3)*(-2*q + 0*q + q).
9*q**4 + 3
Expand ((3 - 3 - w)*(0*w - 2*w + 0*w) + 0*w**2 + 3*w**2 - w**2)*(0*w**3 - 2*w**3 + 0*w**3).
-8*w**5
Expand -5*w**4 + 5*w**4 - 3*w**4 + (w**2 - w**2 - w**3)*(2*w - w + 0*w) - 2*w**4 - w**4 - 2 + 2*w**4.
-5*w**4 - 2
Expand (-5*s + 0*s + 3*s)*(-2 - 13 - 2) - 4*s + s + 0*s + (-2 + 5 - 1)*(s + 2*s - 4*s) - 3*s - s + 2*s.
27*s
Expand -h - 6*h + 3*h + 0 + 0 + h - 4*h - 3*h + 6*h + 0*h + 2*h - 4*h + (-1 + 2 - 2)*(2*h + 0*h - h) - h + 0*h + 2*h + (-2 + 2 + 2*h)*(-3 + 2 + 0).
-8*h
Expand (-3*p - 25 + 46 - 22)*(-p - p + 0*p) + p**2 - 3 + 3 + (p - 2*p - p)*(-4*p - 3*p + 5*p).
11*p**2 + 2*p
Expand 4*y**4 - 4*y**4 + 2*y**5 + (-7 + 7 + 3*y)*(3*y**4 - 2*y**4 + 2*y**4).
11*y**5
Expand -2*q - 3*q**5 + 2*q + (-4*q**4 + 3*q**4 - 3*q**4)*(-5*q + q + 2*q).
5*q**5
Expand 276*g - 276*g + 25*g**2 + (3 - 2*g - 3)*(3*g + g - 3*g).
23*g**2
Expand (7*p + 0*p - 2*p)*(2 - 5 - 5).
-40*p
Expand (0*c + 0*c + 3*c)*(8 + 6 - 29) + 5*c - 2*c - 4*c.
-46*c
Expand (-j - j - 3*j)*(3 - 1 + 0)*(-5*j**2 + j**2 + 2*j**2)*(2 - 2*j - 2).
-40*j**4
Expand (-7*u + 30 - 30)*(2*u + 0*u + 3*u).
-35*u**2
Expand (144 - 20*z - 144)*(z + 0 + 0).
-20*z**2
Expand 13*s**3 + 2*s**3 - 2*s**3 + (-1 + 1 - s)*(-s**2 + 6*s**2 - 4*s**2).
12*s**3
Expand (3*x**2 + 2*x**2 + 0*x**2)*(4 - 4 + x) - 2*x**3 - 1 + 1.
3*x**3
Expand (6 - q - 6)*(-6*q**2 - 2*q**3 + 3*q**2 + 4*q**3).
-2*q**4 + 3*q**3
Expand (2*h**2 - h**2 - 3*h**2)*(9 - 2 - 4)*(0 + 0 + 2).
-12*h**2
Expand (24 + 15 - 23)*(-15 - 7*n + 15).
-112*n
Expand (4 + 15 + 20)*(6*o + 0*o - 4*o).
78*o
Expand (2*r**2 - 2*r**3 - 2*r**2)*(-2 - 12 - 2).
32*r**3
Expand (4 - 2 - 1)*(-3 - 3 + 2)*(0*y - 3*y + 4*y + (3 - 2 + 0)*(y + y - y) - y + 0*y + 3*y - y + 3*y - y).
-20*y
Expand (0*r - 3*r + 2*r)*(142*r**3 - 143 + 143).
-142*r**4
Expand (-2 + 6 + 2)*(4*r**2 - 4*r**2 - r**4) - 3*r - 2*r**4 + 3*r.
-8*r**4
Expand (-3 + 3 + 2*p**2)*(p**2 - 2*p**2 + 0*p**2) + 0*p**2 + p**4 + 0*p**2 + 6*p**4 + 9 - 9.
5*p**4
Expand (f + 3 - 3)*(f**4 + 4*f**4 - 14*f**4).
-9*f**5
Expand (0 + 0 - s)*(0*s**4 - s**4 + 3*s**4) + 3*s**5 + 4*s**5 + 0*s**5.
5*s**5
Expand (-2*s - 2 + 2)*(-2 + 3 - 2)*(2*s - 4 + 4)*(18 + 12 + 1).
124*s**2
Expand 5*f**5 + 2*f**5 - 4*f**5 - 2 + (-3*f**5 + f**5 + 0*f**5)*(1 + 0 + 1) + 2*f**5 - 4 + 4.
f**5 - 2
Expand -2 - 3*s**5 + 2 - 3*s**5 - s**5 + 6*s**5 + (0 - 3*s + 0)*(-2*s**4 + s**4 + 3*s**4) + 0*s**3 + 0*s**3 + s**5.
-6*s**5
Expand (3 - 3 + 2*x**2)*(4 + 1 + 3*x**2 - 4*x**2).
-2*x**4 + 10*x**2
Expand -14*y + 3*y - 11*y + (5 - 4 - 3)*(2*y + 0 + 0).
-26*y
Expand -h + 0 + 0 + (3*h - h + 8 - 12)*(5 - 5 - 2).
-5*h + 8
Expand ((-1 + 1 - 2*g)*(0 - 3 + 1) + 5*g + 4*g + 11*g + 4*g - 2*g - 3*g)*(4 - 4 + g**4).
23*g**5
Expan | {
"pile_set_name": "DM Mathematics"
} |
is prob of picking 1 s and 1 j?
2/3
Calculate prob of picking 1 e and 1 g when two letters picked without replacement from {g: 11, e: 9}.
99/190
Four letters picked without replacement from xxbnyxmmyyqyy. Give prob of picking 1 x and 3 y.
6/143
Three letters picked without replacement from mnmlvis. What is prob of picking 1 l, 1 s, and 1 m?
2/35
What is prob of picking 1 c and 2 q when three letters picked without replacement from qccqqqcqcqq?
28/55
Three letters picked without replacement from wppwxxwownxpwx. Give prob of picking 3 w.
5/182
What is prob of picking 1 u, 2 g, and 1 l when four letters picked without replacement from llulgtttwuulgttttl?
1/204
Three letters picked without replacement from {v: 3, p: 1, u: 3, y: 5, f: 8}. What is prob of picking 1 p and 2 v?
1/380
Calculate prob of picking 2 n and 1 v when three letters picked without replacement from qqvqxvnvnn.
3/40
Four letters picked without replacement from wrwwrwrrwrrhww. Give prob of picking 1 w and 3 r.
20/143
Two letters picked without replacement from lllllllljllll. What is prob of picking 2 l?
11/13
Calculate prob of picking 1 t, 1 q, and 2 x when four letters picked without replacement from xqxtx.
3/5
Four letters picked without replacement from ptptutuctccetuupop. Give prob of picking 1 o and 3 u.
1/765
What is prob of picking 3 o when three letters picked without replacement from {c: 2, e: 2, l: 1, o: 4}?
1/21
Calculate prob of picking 3 i when three letters picked without replacement from ininppnppinnippp.
1/140
What is prob of picking 1 p, 2 m, and 1 z when four letters picked without replacement from dplkmzm?
1/35
What is prob of picking 1 b and 2 p when three letters picked without replacement from poob?
0
Two letters picked without replacement from ajqq. Give prob of picking 1 j and 1 a.
1/6
What is prob of picking 1 g, 1 w, and 1 d when three letters picked without replacement from {w: 2, d: 2, c: 2, g: 1, t: 1}?
1/14
What is prob of picking 1 t and 1 i when two letters picked without replacement from {i: 2, t: 4, f: 2, s: 1, n: 3}?
4/33
Calculate prob of picking 1 k, 1 m, and 1 i when three letters picked without replacement from {k: 3, v: 1, i: 1, d: 1, m: 1}.
3/35
Three letters picked without replacement from {p: 5, m: 1, s: 6, j: 7}. What is prob of picking 2 p and 1 j?
70/969
Three letters picked without replacement from kccrkfkckr. What is prob of picking 2 k and 1 c?
3/20
What is prob of picking 2 y when two letters picked without replacement from {b: 1, y: 4, a: 7, t: 6}?
2/51
Calculate prob of picking 1 r and 1 q when two letters picked without replacement from jqcccqcrcccqqqrc.
1/12
What is prob of picking 2 e and 1 i when three letters picked without replacement from eeieiie?
18/35
Four letters picked without replacement from nnjwqqwqnnwjexw. Give prob of picking 1 w, 2 n, and 1 e.
8/455
Two letters picked without replacement from olvjooovvop. Give prob of picking 1 o and 1 j.
1/11
What is prob of picking 2 d and 1 n when three letters picked without replacement from {n: 1, m: 4, y: 1, d: 11}?
11/136
Three letters picked without replacement from {q: 8, c: 1, z: 3, s: 6}. Give prob of picking 2 q and 1 z.
7/68
Three letters picked without replacement from {f: 6, n: 3, m: 3, w: 7}. Give prob of picking 1 m and 2 f.
15/323
Two letters picked without replacement from {q: 2, p: 1, s: 1, m: 1, v: 2}. Give prob of picking 1 v and 1 s.
2/21
Calculate prob of picking 3 i when three letters picked without replacement from {j: 5, i: 4, s: 2}.
4/165
What is prob of picking 1 b and 1 n when two letters picked without replacement from nbllllbllnlflnlbllnl?
6/95
What is prob of picking 1 e and 1 d when two letters picked without replacement from deoodoyodoeyodyegdo?
5/57
What is prob of picking 2 s and 1 w when three letters picked without replacement from qhhhswxh?
0
Three letters picked without replacement from mhhhmvvmmhm. Give prob of picking 2 h and 1 v.
4/55
What is prob of picking 1 q and 2 g when three letters picked without replacement from {g: 5, b: 4, q: 2}?
4/33
Four letters picked without replacement from {l: 2, t: 1, n: 2, b: 8}. Give prob of picking 4 b.
14/143
Calculate prob of picking 1 y and 2 k when three letters picked without replacement from {y: 2, k: 2, b: 1}.
1/5
Four letters picked without replacement from llllcllcllacallsalll. Give prob of picking 1 s, 1 c, 1 l, and 1 a.
39/1615
Calculate prob of picking 1 u, 2 d, and 1 g when four letters picked without replacement from suddsdsddqusug.
30/1001
What is prob of picking 1 u and 3 j when four letters picked without replacement from {u: 3, j: 3}?
1/5
Three letters picked without replacement from xpepemppcmmggep. Give prob of picking 2 m and 1 x.
3/455
Three letters picked without replacement from hcchcbcbihcxhbhhcbbb. Give prob of picking 1 b and 2 i.
0
What is prob of picking 1 a, 2 z, and 1 p when four letters picked without replacement from aazapxzxxz?
3/70
Three letters picked without replacement from {d: 2, z: 9}. Give prob of picking 2 d and 1 z.
3/55
What is prob of picking 2 a when two letters picked without replacement from nzzznnazznzna?
1/78
Two letters picked without replacement from {w: 1, o: 2, y: 3, u: 1}. Give prob of picking 1 y and 1 u.
1/7
Calculate prob of picking 4 r when four letters picked without replacement from rrrrrr.
1
Two letters picked without replacement from {j: 3, z: 1, t: 3}. What is prob of picking 2 t?
1/7
Four letters picked without replacement from ggrrgggggrgrrggg. Give prob of picking 4 g.
33/182
Calculate prob of picking 4 w when four letters picked without replacement from rwrrwrrrrwrrww.
5/1001
Calculate prob of picking 1 s and 1 n when two letters picked without replacement from fnscv.
1/10
What is prob of picking 2 g, 1 z, and 1 x when four letters picked without replacement from szzzzxsglsszzxgslg?
1/85
What is prob of picking 1 n and 1 g when two letters picked without replacement from mnngngmmnmk?
8/55
Two letters picked without replacement from {z: 3, v: 5, w: 1, s: 1, b: 2, l: 1}. What is prob of picking 2 b?
1/78
What is prob of picking 1 d and 1 i when two letters picked without replacement from {q: 2, h: 1, a: 2, i: 1, d: 1}?
1/21
Two letters picked without replacement from {w: 7, j: 4}. What is prob of picking 2 j?
6/55
Calculate prob of picking 1 g, 1 t, 1 x, and 1 c when four letters picked without replacement from {x: 5, t: 1, q: 2, g: 10, b: 1, c: 1}.
10/969
Two letters picked without replacement from ttmsswtewwwwwwsewshs. Give prob of picking 1 e and 1 h.
1/95
What is prob of picking 1 b and 1 k when two letters picked without replacement from {k: 2, b: 2, s: 4, m: 3, n: 2, j: 1}?
4/91
Four letters picked without replacement from {s: 4, p: 1, g: 2, i: 6, b: 2}. Give prob of picking 4 s.
1/1365
Three letters picked without replacement from {l: 3, y: 5, d: 4}. What is prob of picking 2 y and 1 l?
3/22
What is prob of picking 1 t and 3 p when four letters picked without replacement from pttktpp?
3/35
Two letters picked without replacement from nwbwnwbbbnbhabe. Give prob of picking 1 a and 1 h.
1/105
What is prob of picking 2 y and 1 c when three letters picked without replacement from {c: 1, k: 1, y: 2}?
1/4
Four letters picked without replacement from mqppppmeyeyyyeep. What is prob of picking 1 y and 3 p?
2/91
Four letters picked without replacement from {s: 1, g: 2, i: 1, x: 2}. Give prob of picking 2 g, 1 s, and 1 i.
1/15
Three letters picked without replacement from {a: 3, v: 1}. Give prob of picking 3 a.
1/4
Calculate prob of picking 3 u when three letters picked without replacement from uuu.
1
Two letters picked without replacement from wwwfwff. Give prob of picking 2 w.
2/7
What is prob of picking 2 g and 1 z when three letters picked without replacement from zggzzgzszgsg?
5/22
Two letters picked without replacement from cbbbbbzjbcjjhb. Give prob of picking 1 h and 1 b.
1/13
Two letters picked without replacement from lnlhllvhnh. Give prob of picking 1 l and 1 h.
4/15
What is prob of picking 1 t and 2 b when three letters picked without replacement from {b: 3, x: 8, t: 7}?
7/272
What is prob of picking 2 b and 1 w when three letters picked without replacement from {b: 4, w: 6, t: 1}?
12/55
Calculate prob of picking 1 j and 2 g | {
"pile_set_name": "DM Mathematics"
} |
*2 - 2. Let f(u) = 243*u**2 + 45. What is 2*f(z) + 45*l(z)?
-9*z**2
Let l(c) = 2*c**2 + 2. Suppose -2*x = -4*w - 2, 0*x = -x - 5. Let h(i) be the third derivative of -i**5/20 - 2*i**3/3 - 10*i**2. Calculate w*h(z) - 5*l(z).
-z**2 + 2
Let m(g) = -6*g**3 - 6*g**2 - 16*g - 16. Suppose l + 2*b = 1, 3*b - 6 = -0*b. Let w(x) = -x**3 - x**2 - 3*x - 3. What is l*m(r) + 16*w(r)?
2*r**3 + 2*r**2
Let c(n) be the second derivative of n**4/12 - n**3/3 - 3*n**2/2 - n. Let y(z) = -z - 2. Suppose -5 = -2*j - 1. Determine j*c(q) - 3*y(q).
2*q**2 - q
Suppose -i = -2 - 4. Let d(p) = 2*p - 4*p**2 + p - 5 - p - i. Let h(r) = -2*r**2 + r - 5. What is -6*d(z) + 13*h(z)?
-2*z**2 + z + 1
Let i(f) = f**2 + f + 1. Let g = 63 + -65. Let o be ((-1)/3)/((-1)/(-3)). Let m(q) = -q**2 - 2. Calculate g*i(p) + o*m(p).
-p**2 - 2*p
Let z(d) = 2. Let o be (-1 - -2)*1/1. Let a be (-32)/144 + 14/(-18). Let q(k) be the first derivative of k**2/2 + k + 1. What is a*q(m) + o*z(m)?
-m + 1
Let u(m) = 1. Let f(l) = -l - 1. Let j be 7*-2*(-3)/14. What is j*f(h) + 4*u(h)?
-3*h + 1
Let y(h) = -4*h + 15. Let p(i) = 13*i - 44. Calculate -2*p(q) - 7*y(q).
2*q - 17
Let h be 2/(-3) + 231/9. Let f be 10/h - 46/(-10). Let u(s) = 7*s**3 - 2*s - 9. Let b(j) = -4*j**3 + j + 5. What is f*b(i) + 3*u(i)?
i**3 - i - 2
Let c(n) = -n**3 - 5*n**2 - 4*n + 2. Let l(b) = -2*b**3 - 9*b**2 - 7*b + 4. Let q be (100/(-15))/((-2)/(-78)). Let g be 4/18 + q/36. Determine g*c(u) + 4*l(u).
-u**3 - u**2 + 2
Let c(s) = 3*s**3 - s**2. Let j(a) = -4*a**3 + 2*a**2 - 1. Suppose -5*w + 2 = 3*r, 8 = 2*w + 6*r - 3*r. Calculate w*j(d) - 3*c(d).
-d**3 - d**2 + 2
Let i(k) = -6*k + 9. Let x(v) = 3*v - 4. Give -4*i(u) - 9*x(u).
-3*u
Let g(c) = 6*c + 6. Let i be (-72)/(-32) + (-1)/4. Suppose 3 = -i*b + 25. Let k be 4 + -1 + (b - 10). Let m(h) = -11*h - 11. Determine k*m(r) + 7*g(r).
-2*r - 2
Suppose -2*q - 16 = -6. Let m(j) = 2*j**3 - j**2 - 4*j + 5. Let t(f) = 9*f**3 + 0*f**3 + 4*f**3 - 7 + f**2 + 6*f - 16*f**3. What is q*t(z) - 7*m(z)?
z**3 + 2*z**2 - 2*z
Let h(s) = -4*s**2 + 26*s - 9. Let k(l) = 9*l**2 - 54*l + 19. Let r(t) = -13*h(t) - 6*k(t). Let n(x) = x**2 + 5*x - 1. What is -8*n(f) - 3*r(f)?
-2*f**2 + 2*f - 1
Let j(i) = -i**2 + i. Let b(o) = 12*o**2 + 10*o. Determine b(a) - 10*j(a).
22*a**2
Let c(i) = -8*i - 3. Let g(f) = 9*f + 1. Let d(k) = -9*k - 2. Let z(m) = -3*d(m) - 2*g(m). Determine -4*c(t) - 3*z(t).
5*t
Let o(n) = n. Let f be (-9)/(-2)*(-2)/(-3). Let j = f + -7. Let v(a) = a**2 + 4*a. Determine j*o(r) + v(r).
r**2
Let f(k) be the second derivative of -5*k**3/6 + 2*k**2 - k. Let t(o) = 9*o - 7. Suppose -4*d + 24 = -2*g, 0 = 4*d - g - 4*g - 18. Give d*f(l) + 4*t(l).
l
Let u(p) = 35*p + 5. Let q(z) = -385*z - 56. What is 5*q(i) + 56*u(i)?
35*i
Let x(l) = l**2 + 19*l - 3. Let s(y) = -y - 1. What is 3*s(o) - x(o)?
-o**2 - 22*o
Let q(k) = -5*k**2 - 7*k + 4. Let x(f) = -f + 1. Determine -q(c) + 4*x(c).
5*c**2 + 3*c
Let a(w) = -165*w + 18. Let u(f) = -47*f + 5. Give 5*a(c) - 18*u(c).
21*c
Let y(h) = -h**2 + 1. Let t(a) = 4*a**2 + 2*a - 6. Let v(x) = t(x) + 6*y(x). Let w(q) = -q. Determine v(l) + 3*w(l).
-2*l**2 - l
Let j(t) = t + 1. Let i(q) = 1. Give 4*i(r) + 2*j(r).
2*r + 6
Let s(d) = -11*d - 1. Let n(t) = 34*t + 3. Calculate -4*n(k) - 11*s(k).
-15*k - 1
Let c(q) = 2*q**3 + q**2. Suppose -5*v + 5*j = -15, 3*j = -3*v - 0*v + 3. Let i(z) = -z**2. Determine v*i(y) - c(y).
-2*y**3 - 3*y**2
Suppose 3*d + 0*y - 18 = -4*y, 2*y = 2*d - 12. Let i(g) = 7*g - d*g + g + 1. Let x(f) = 2*f + 2. Give 5*i(t) - 4*x(t).
2*t - 3
Let p(k) = -12*k**3 + k**2 - 3*k + 3. Let v(x) = 25*x**3 - 2*x**2 + 7*x - 7. What is 7*p(u) + 3*v(u)?
-9*u**3 + u**2
Let h(w) = -w + 1. Let s(r) = -96 + 51 - 2*r + 46. Calculate -5*h(o) + 3*s(o).
-o - 2
Let b(r) = -2*r**2 + 3*r. Let t(c) = 7*c**2 - 13*c. What is 26*b(q) + 6*t(q)?
-10*q**2
Let k(z) = -2*z**3 + 9*z**2 + 9*z + 3. Let x(m) = m**2 + m + 1. Let l(t) = k(t) - 6*x(t). Let s(y) = -2*y**3 + 2*y**2 + 2*y - 2. What is 2*l(d) - 3*s(d)?
2*d**3
Let g(v) = 5*v**3 + 2*v + 3. Let r(n) = -n. What is g(d) + 2*r(d)?
5*d**3 + 3
Let s(n) = 1. Let x(v) = 2*v - 8. What is -10*s(g) - x(g)?
-2*g - 2
Suppose -y + 5*d + 3 + 5 = 0, 3*d = y - 8. Suppose 2*h = -t - 0*h + 10, -4*t + 4*h = y. Let p(w) = w**2 - w + 1. Let z(f) = -2*f + 2. What is t*p(o) - z(o)?
2*o**2
Suppose -3*v - 3*h = -18, 2*v - 5*h + 5 = 3. Let z(m) = -7*m**3 - 4*m**2. Let f(x) = -15 + 15 - 9*x**2 - 15*x**3. What is v*f(k) - 9*z(k)?
3*k**3
Let y be (1/(-2))/(18/8 + -2). Let x(h) = h**3 + 3. Let l(v) = -v**3 - 2. Calculate y*x(z) - 3*l(z).
z**3
Let n(x) = -x + 1. Suppose 5*y + l = -0*l + 13, 3*l + 3 = -y. Let k(g) = -2*g - 4. Calculate y*n(f) + k(f).
-5*f - 1
Let k be 6/(-4)*(-56)/21. Let g(a) = 2*a + 1. Let u(j) = -j - j + 0*j - 1. Calculate k*u(d) + 3*g(d).
-2*d - 1
Let o(z) = -10*z + 23. Let x(v) = -7*v + 15. Determine 5*o(n) - 8*x(n).
6*n - 5
Let t(c) = 2*c**2 - 2*c + 2. Let k be 2/(-7) - (-23)/7. Let n be 10/2*(-4)/(-10). Let d(j) = 6*j**2 - 21*j**2 + 12*j**2 - j**3 - 3 + 3*j. Give k*t(h) + n*d(h).
-2*h**3
Let g(d) = d - 7. Let a be g(-8). Let u = a + 20. Let s(t) = -t**2 + 0*t**2 + 1 - 2. Let f(q) = -6*q**2 - 3. Calculate u*s(k) - f(k).
k**2 - 2
Let z(f) = 1. Let t(k) = -k**2 + 8. Give -t(x) + 4*z(x).
x**2 - 4
Let g = 21 + -19. Suppose 2*k + 51 = -3*s, 0 = 3*k + 2*k - g*s + 175. Let x(d) = -9*d**3. Let l(w) = -w**3. Give k*l(j) + 4*x(j).
-3*j**3
Let z(y) = y**3 - 7*y. Let h(o) be the second derivative of 0 + 0*o**2 + 3*o + 0*o**4 + 1/20*o**5 - 5/6*o**3. Give -7*h(u) + 5*z(u).
-2*u**3
Let v(l) = l - 4. Let x(t) = t. Let d(i) be the third derivative of i**4/24 + 17*i**3/6 - 6*i**2. Let j(z) = d(z) - 5*x(z). Give 6*j(n) + 26*v(n).
2*n - 2
Let v(k) = -95*k**3 + 19*k. Let b(r) = -19*r**3 + 4*r. What is 19*b(q) - 4*v(q)?
19*q**3
Let g(l) = -2*l + 6. Let y(h) = -h + 2. What is 2*g(b) - 7*y(b)?
3*b - 2
Let u(o) = o**2 - o. Let r(b) = -2*b**2 + 5*b - 1. Calculate r(n) + u(n).
-n**2 + 4*n - 1
Let i(d) = -2*d + 7. Let s(u) = 4*u + 29. Let k be s(-8). Let t(r) = -5*r + 20. Give k*t(x) + 8*i(x).
-x - 4
Suppose 5*t + 10 = 0, -2*f + 7 = -5*f - 5*t. Suppose 7*g - 3 = -10. Let k(q) = -q**3 + 1. Let u(v) = v**3 + v + 1. What is f*u(w) + g*k(w)?
2*w**3 + w
Let i(m) = -3*m**3 + 5*m - 5. Let x(y) = 8*y**3 - 12*y + 12. Give -12*i(q) - 5*x(q).
-4*q**3
Let k(r) = -r**3 - 5*r**2 + 4*r - 7. Let f be k(-6). Let s(z) = -z**2 - 5. Let d(o) = 1. Suppose -4*i + 14 = -2*u, 2*i = -u + 3*i - 3. What is f*d(p) + u*s(p)?
-p**2
Let o(f) = 4*f - 6. Let y(q) = 3*q - 6. Give -2*o(n) + 3*y(n).
n - 6
Let d(p) = -6*p - 5. Let q(v) = -30*v - 24. Determine 24*d(a) - 5*q(a).
6*a
Let t(g) = 35*g - 3. Let z(j) = -104*j + 8. Calculate 8*t(l) + 3*z(l).
-32*l
Let k be (1 - 6)/(2/(-2)). Let i(y) = 2*y. Let q(v) be the first derivative of v**2 + 6. Determine k*q(j) - 6*i(j).
-2*j
Let x(l) = 6*l**2 + 3*l. Let r(a) = -a**2 + a. Determine -3*r(d) + x(d).
9*d**2
Let p = 4 - 6. Let r be 246/(-15) - p/5. Let d(q) = -22*q**2 + 22. Let g(l) be the second derivative of 7*l**4/12 - 7*l**2/2 + 2*l. Calculate r*g(o) - 5*d(o).
-2*o**2 + 2
Suppose -5*l + 21 - 86 = 0. Let t(j) = -7*j**2 - 7. Suppose 3*w = -w + 28. Let x be -1 + 2 - w/1. Let c(s) = 15*s**2 + 15. Give l*t(i) + x*c(i).
i**2 + 1
Let i(t) = 3*t - 9. Let h(f) = -6*f + 0*f + 3*f. Let p(z) = 4*z - 1. Let s(y) = -5*h(y) - 4*p(y). Calculate -3*i(m) - 7*s(m).
-2*m - 1
Let d(w) = -5*w**2 - 6*w - 3. Let k(q) = 2*q**2 + 3*q + 2. Let i(l) = -3*d(l) - 7*k(l). Let z(u) = -2*u**2 + 9*u + 14. What is 8*i(v) + 3*z(v)?
2*v**2 + 3*v + 2
Let p(l) = 9*l**3 - 21*l**2 + 21. Let s(a) = 11 - 2*a**3 + 0*a**2 - 6 + 4*a**3 - 5*a**2. Give 5*p(m) - 21*s(m).
3*m**3
Let z(k) = -9*k + 2. Let x(n) = 4*n - 1. Suppose -4*w - 21 = -85. Suppose 4*v - w = 12. Give v*x(i) + 3*z(i).
i - 1
Let t(f) = f - 1. Let q(p) = 17*p**3 + 4*p - 4. Determine -q(b) + 4*t(b).
-17*b**3
Let j(o) = o**3 + o**2 - o + 1. Let p(q) = 60*q**3 + 55*q**2 - 55*q + 55. Determine -220*j(h) + 4*p(h).
20*h**3
Let o(c) = c**3 + 13*c**2 - 3. Let z be o(-13). Let h(m) = m - 1. Let f(l) = -1. Determine z*h(i) + 2*f(i).
-3*i + 1
Let w(x) = 1768*x**3 + 187*x**2 + 187*x. Let t(v) = 19*v**3 + 2*v**2 + 2*v. Calculate 187*t(a) - 2*w(a).
17*a**3
Let l(a) = -a**2 + 2*a - 2. Let c(g) = g**2 - 2*g + 2. Calculate 3*c(v) + 2*l(v).
v**2 - 2*v + | {
"pile_set_name": "DM Mathematics"
} |
+ 2. Let a(o) = 2*o. Suppose -z - 2*j = -6, z + 0*j + 22 = 5*j. Let i(p) = z*s(p) - 5*a(p). Let g be (1 + -2)/((-2)/(-10)). What is i(g)?
6
Let p(k) = -8*k - 3. Let l(g) = -g. Let j(t) = 5*l(t) - p(t). Let b(q) = q**2 + 16*q + 13. Let c = -29 + 14. Let m be b(c). Give j(m).
-3
Let w(i) = 2*i**2 + 1 - 4*i**2 - 5*i**2. Let f(p) = p**3 - 60*p**2 - 7*p + 5 - 4*p + 61*p**2. Let c be f(-4). Calculate w(c).
-6
Let z(y) = 6*y + 2*y**2 - y**2 - 1 - 2*y**2. Suppose -5*w = b - 32, 1 = -b + 4*w - 12. Calculate z(b).
-8
Let h(l) = -37*l**2 - 2*l**3 - l - 26*l**2 + 77*l**2 + 6. What is h(7)?
-1
Let i be ((-10)/8)/(13/(-52)). Suppose 6 = i*u + 51. Let m(k) = -k**3 - 8*k**2 + 8*k - 4. Let x be m(u). Let l(b) = -b**3 + 6*b**2 - 5*b - 7. What is l(x)?
-7
Let n(h) be the third derivative of -1/12*h**4 + 0*h + 8*h**2 + h**3 + 0. What is n(4)?
-2
Let i = 16 + -13. Suppose -i*p = q - 10, -5*q + 6 = -3*p - 8. Let x(k) = -4*k + 4*k**p + 6 + k - k + k**3. Determine x(-5).
1
Let t(c) = c**3 - 4*c**2 + 4*c - 3. Let i = -11 - -15. Let y be (-23 - 4) + -7 + i. Let f = 32 + y. Calculate t(f).
-3
Let z(v) be the second derivative of -5*v**3/6 - v**2 + 3*v - 57. Calculate z(-1).
3
Let g(y) = 8*y**3 - 6*y + 1. Suppose -5*i = -4*f + 36 - 125, 5*i = -3*f + 82. Let h(d) = 23*d**3 - 17*d + 3. Let u(w) = i*g(w) - 6*h(w). Determine u(-1).
1
Let x = -8 - -7. Let b = 5 + x. Suppose b = -2*q - 0*q. Let p(l) = l**2 + 3*l + 1. Give p(q).
-1
Let u(f) = -f**3 + f**2 - 106 - 2*f + 4*f**2 + 107. Give u(4).
9
Let b(r) = 13*r - 11*r + 882 - 880. Calculate b(1).
4
Let c(h) = h**3 - 6*h**2 + 2. Let v be c(6). Let n be (-9)/v*(-12)/(-9). Let u be 1/((4 - 1)/n). Let y(a) = 4*a**2 + 2*a + 1. Determine y(u).
13
Let l be 5/(-30) - (-65)/30. Suppose -w - 18 = 4*z, 0*w - 5*z = 4*w + 17. Let f(k) = k**2 + 2 + 0*k**2 + l + 3*k + w*k. What is f(-4)?
0
Let s(n) = -n**2 + 4*n + 3. Let r(u) = -19*u**2 + 24*u - 1. Let k be r(1). Determine s(k).
3
Suppose -2*g = 2*y + 24, 4*g + 8 = y + g. Let j(p) = -3*p - 5. Calculate j(y).
16
Let d(s) = -4*s - 26 - 9 - s**3 + 6 + 4*s. What is d(0)?
-29
Let q(n) = -13*n - 37. Let r be q(-3). Let o(l) = 2 + 2*l**2 - 2*l - 4 + 2 + 1. What is o(r)?
5
Let d(k) be the second derivative of k**4/12 - 4*k**3/3 + k**2 + 152*k. Determine d(9).
11
Let m(a) = -70 + 40 + 2*a + 30. Calculate m(-8).
-16
Let o(c) = c**2 + 4*c - 8. Suppose 106 = -15*b + 31. Calculate o(b).
-3
Let n = -12 + -27. Let c(a) = -a**3 - 38*a**2 - 2*a - 40. Let h be c(-38). Let j = n + h. Let k(i) = -i**2 - 3*i + 1. Determine k(j).
1
Let z(j) = -j**3 - j**2 - 2*j + 1. Suppose -7 = -k + p, -3*k - 2*p + p + 13 = 0. Suppose 0 = -a - l + 2*l - 1, 3*a = -k*l - 11. What is z(a)?
9
Let m(n) be the third derivative of -n**5/60 - 13*n**4/24 - 4*n**3/3 - 25*n**2 - 2*n. Give m(-9).
28
Let w(o) = 16*o**3 + 32*o**2 - 9*o + 2. Let r(x) = -7*x**3 - 15*x**2 + 4*x - 1. Let f(k) = 9*r(k) + 4*w(k). Give f(8).
63
Let f = 1353 - 1364. Let y(q) = -q - 3. What is y(f)?
8
Let k(i) = -i**3 - 12*i**2 + 14*i + 8. Let n(u) = u**2 - 8*u - 22. Let v be n(9). Give k(v).
-5
Let p = 8 - 3. Suppose a = -3 + p. Let q(l) = 23*l - 10*l - 4*l - 7*l. What is q(a)?
4
Let v(x) be the first derivative of -x**2/2 + 7*x + 2. Let d be -7*(248/(-28) + 8). Determine v(d).
1
Let b(q) = q**2 - 4*q + 2. Let p be b(4). Let y = 8 - p. Suppose d + 5 = y*j - 2*j, d + j = 0. Let r(k) = -11*k**2 - k - 1. What is r(d)?
-11
Let l = -29 + 17. Let y(j) = j**3 + 13*j**2 + 10*j - 17. Let i be y(l). Suppose -i = -2*f + 3*p - 1, 0 = -2*f + p + 2. Let s(o) = o + 2. Determine s(f).
2
Let x(i) be the first derivative of i**4/4 + 2*i**3 + 5*i**2/2 - 3*i - 60. Let m(a) = -a - 3. Let z be m(-7). Suppose -z*j = 19 + 1. Calculate x(j).
-3
Let j be (6*3)/((-3)/(-2)). Let t = j - 10. Let b(u) = -8*u - 22*u**t - 6 + 21*u**2 + 1. What is b(-7)?
2
Let r(u) = -u**3 + 6*u**2 - u. Suppose 0 = -6*g + g - 5*c - 170, 5*g + c + 186 = 0. Let w = g + 44. Give r(w).
-6
Let w(y) be the second derivative of y**5/60 + y**4/12 + y**3/2 + 13*y**2 - 2*y + 2. Let a(f) be the first derivative of w(f). Calculate a(-3).
6
Let l = -523 - -537. Let c(h) = -h**3 + 14*h**2 + h - 16. What is c(l)?
-2
Let r be 12/16 + (-237)/12. Let q = -14 - r. Suppose q*c - 2*i + 30 = 0, -3*i = -0*c - 3*c - 27. Let t(p) = -p**2 - 4*p. Give t(c).
0
Let n(g) = -5*g**2 + 12*g + 19. Let p(a) = -11*a**2 + 24*a + 39. Suppose -10*z = -12*z - 12. Let f(i) = z*p(i) + 13*n(i). Give f(-11).
2
Let s(p) = -18*p - 513. Let i be s(-29). Let g(f) = 4*f + 9. What is g(i)?
45
Let j(z) = -6*z - 5*z - 10 + 47. Let q be j(4). Let l(i) = -i + 3. What is l(q)?
10
Suppose -2 = 2*q - 4*l, -3*q - 6*l + 9*l - 6 = 0. Let m(b) = 2*b**2 - 3*b - 1. Determine m(q).
26
Let o = -182 - -184. Let k(q) = 8*q**2 - 4*q + 2. What is k(o)?
26
Suppose -2*x - 3*w = 9, 3*x + 8 = -0*x + w. Let n be (x - -2)*4*-1. Let l(z) = 2*z**2 - 4*z + n*z - 1 + 0*z. Calculate l(-1).
1
Let n(d) = -7*d**3 + 6*d**2 - d + 4. Let c(x) = -3*x**2 + 4*x**3 + 226*x - 226*x - 2. Let z(q) = 5*c(q) + 3*n(q). What is z(3)?
-7
Let d(g) = -72*g - 2*g**2 - 3*g**2 + 2*g**2 + 62*g + 3 + 4*g**2. Give d(12).
27
Let p(j) be the second derivative of -j**7/840 + j**6/90 + j**5/30 + 5*j**4/24 - 5*j**3/2 - 21*j. Let g(c) be the second derivative of p(c). Determine g(4).
21
Suppose 0 = 5*r - 2*h - 20, -3*r - 4*h = h + 19. Let z(v) = 11*v**2 + 0 + 0 - 7*v**r - 1 + v + v**3. Calculate z(-4).
-5
Let z(l) be the third derivative of l**4/6 + 4*l**2 + 5*l + 3. Let c(k) = k**2 + 4*k + 2. Let t be c(-4). What is z(t)?
8
Let l(n) = n - 37*n**2 + 71 + 38*n**2 - 65 - n**3. Determine l(0).
6
Let x(l) be the second derivative of l**4/12 + l**3/3 - l**2 - 168*l. What is x(-4)?
6
Let p(j) = -3*j + 19. Let c(d) = -d + 9. Let f(x) = 13*c(x) - 6*p(x). Suppose -5*y = -95 - 75. Let b = y + -37. What is f(b)?
-12
Suppose 4*a = 3*f + 3*a - 28, -3*f + 24 = -3*a. Let c(i) = i**3 - 11*i**2 + 8*i + 2. Determine c(f).
-18
Let r be ((-2)/(-4))/((-2)/(-20)). Let c(k) be the first derivative of -k**5/120 + 7*k**4/24 + k**3/3 + 60. Let p(n) be the third derivative of c(n). Give p(r).
2
Let j(n) = 9*n - 7. Let p(s) = -7*s + 6. Let g(c) = -5*j(c) - 6*p(c). Determine g(2).
-7
Let l be (297/(-36))/(2/(-24)). Suppose -5*a - 5*f + l = -2*f, 3*a + 2*f - 59 = 0. Let k(i) = 47*i - a*i - 27*i. What is k(-7)?
7
Let r(n) = n - 3*n + 26 - 25. Suppose -3*t + 9 - 6 = 0. Give r(t).
-1
Let l(h) = -3*h - 1. Let w be -2 + 21 + (-6)/2. Suppose w = -9*n + 5*n. Determine l(n).
11
Let i(t) = -2*t**2 + 15*t + 10. Let f be i(8). Let o(z) be the third derivative of z**3 - 1/24*z**4 + 0 + 0*z - 2*z**f. What is o(0)?
6
Suppose -2*b = w - 9, 2*b + 5*w + 0 = 5. Let m be 5*(5/(b/(-3)) + 2). Let o(j) = -j**2 - 4*j + 7. Determine o(m).
2
Let p = 17 + -24. Let c(m) be the second derivative of m**5/20 + m**4/2 - 3*m**3/2 - m**2/2 - 90*m. Give c(p).
13
Let t(f) = -2*f - 1. Let l be t(-1). Let i(p) be the first derivative of p**2 - 2*p**2 - 2*p**2 + 5*p**2 + 4. What is i(l)?
4
Let f = 8 - 2. Let n = -9 - -11. Let y(u) = 1159*u**2 - 1160*u**n - 4 - 3 + 9*u. Calculate y(f).
11
Let g be 75/(-60)*(1 + 3)/(-1). Suppose -4*i + 13 = 3*m, g*i - 19 = m - 2*m. Let q(w) = -2*w + 6. Determine q(i).
-2
Let h(l) be the third derivative of l**4/24 + 4*l**3/3 - 24*l**2. Let a be 324/(-45) + 1/5. Determine h(a).
1
Let h(x) = -x**2 - x + 1. Suppose -4*r + r + 3 = 0. Let y be h(r). Let o(j) = -13 + j - 18 + 25 + 19 - 12 + 9*j**2. Calculate o(y).
9
Let g(i) = -22*i**2 + 4*i - 12 - 20 + 27. Let c(r) = -15*r**2 + 3*r - 3. Let p(s) = 7*c(s) - 5*g(s). Let k(a) = -a**2. Let b(m) = 6*k(m) + p(m). Give b(0).
4
Let p(z) = 139*z**3 - 26*z**2 + 3*z + 5. Let o(m) = -49*m**3 + 9*m**2 - m - 2. Let b(s) = 17*o(s) + 6*p(s). Let a = 7 + -4. What is b(a)?
-1
Let p(b) = 3*b**2 + 16*b - 5. Let w be p(-5). Let x(s) = -s - 4. Determine x(w).
6
Suppose -120 + 126 = -2*c. Let l(m) = 51 - 47 + 4*m - m**3 - 3*m**2 + 0*m**3. Calculate l(c).
-8
Let v(c) = 6*c**2 + 3*c - 2. Let b(g) = -13*g**2 - 7*g + 5. Let s(r) = 4*b(r) + 9*v(r). Give s(1).
3
Let f(b) = b**2 - 1. Suppose -2*r - 40 = 6*r. Let u(a) = a**2 - a - 3. Let t(d) = r*f(d) + 2*u(d). What is t(-2)?
-9
Let s(v) be the third derivative of -v**6/120 + v**5/60 + v**4/24 - v**3/3 + 363*v**2. Give s(0).
-2
Let t(r) be the first derivative of r**2/2 - r + 3. Suppose -h + | {
"pile_set_name": "DM Mathematics"
} |
- q. Let w = -115.2 + 112.2. Which is the closest to k? (a) -1 (b) w (c) -0.6
c
Let l = 34 + -34.38. Let o = l + 0.08. Let v = -1727/4 - -1729/4. Which is the nearest to -1? (a) v (b) 4 (c) o
c
Let h = -44.06 - -44.36. Which is the nearest to -1.1? (a) h (b) -2/17 (c) -4 (d) 0.2
b
Let n = 2189.6 - 2191.6. Which is the closest to 712? (a) -3 (b) 4 (c) 0 (d) n
b
Let h = 74.317 + -73.9. Let v = h + -0.317. Which is the nearest to v? (a) 3/2 (b) -14 (c) 6
a
Let q = 17.18 - 87.08. Let x = -70 - q. Let g = -10/11 + 9/22. What is the closest to g in -1, x, 2?
x
Let a = -110 - -110. What is the nearest to a in 2, 80, -4?
2
Let v = 2 - 4. Let m be (6/(-10))/((-4)/10). Let z = -8197 - -24590/3. What is the nearest to m in v, -3, z?
z
Suppose 742*n - 84 = 721*n. What is the closest to -2 in 2/23, -0.1, n?
-0.1
Let k = -134.1 - -145.08. Let v = 11 - k. Let q = -17 + 18. What is the nearest to q in 2/7, v, -0.4?
2/7
Let m = 2532 + -5065/2. What is the closest to 3/14 in -0.2, -1/7, m?
-1/7
Suppose 3*v + 6*g - 4*g = 19, 5*g - 25 = -3*v. Let k be v*(5 - (7 - 3)). Which is the closest to -3/5? (a) -24 (b) k (c) 0
c
Let q be (24/(-14))/((-9)/189). Let d be -1*(q - 0) - -1. Let f = -103/3 - d. Which is the closest to -1? (a) -5 (b) 0.1 (c) f
b
Let s = 0.13033 + -0.13033. What is the nearest to s in -2/7, 3/5, 1, 0.84?
-2/7
Let m = 32.01 - 31.91. What is the closest to 0 in 3/5, m, -0.4, 0?
0
Let s be 10 - ((-180)/(-8) + -13). What is the nearest to 1/4 in s, -1/12, -0.1, -3/2?
s
Let v = 164 + -68. Let t = v + -99. Which is the closest to -0.1? (a) t (b) -7 (c) 1
c
Suppose -39 = 3*n - 3*w, 3*n - 6*n - 3*w = 51. Let z be (n/3 + 3)/(2*2). What is the nearest to 16 in z, -4, -0.1?
-0.1
Suppose -5*u + u - 4*r = 12, 4*r = -3*u - 8. Let x be (u/7)/((-80)/(-56)). Which is the nearest to x? (a) 3 (b) -3/5 (c) 2/31
b
Suppose 49*o + 98 = -30*o - 19*o. What is the nearest to -0.1 in 1, -5, o, 0.24?
0.24
Suppose 20 = -2*y - 3*y. Let w be (-3)/(-1 - 2)*y/(-16). Which is the nearest to w? (a) 1/3 (b) -4/5 (c) -0.1
a
Let w = -66384.9 - -66385. Suppose -6*b + b = 20. Let i = 0.2 + -0.6. What is the closest to 0 in i, w, b?
w
Let f = 5 - 6. Let a = 0.31 - 0.32. Let i = a - 0.09. What is the closest to -2/3 in i, f, 0.4?
f
Let v(z) = 13*z - 2. Let r be v(-2). Let u be (-6)/r - (-2)/7. Let t = -31120.8 - -31121. Which is the closest to u? (a) -17 (b) -0.1 (c) t
c
Let k be (-9)/108 - (-3)/12. Let j = -102 + 103. What is the nearest to 0.1 in -1/3, j, 10, k?
k
Let k = -5268 + 5276. Which is the closest to 0? (a) 0.9 (b) 0 (c) k (d) 5
b
Let y = -251/8 - -249/8. What is the nearest to -4 in -0.19, 2/9, y?
y
Let m = 3 - -74. Let q = -76 + m. Let p = 4 - q. What is the closest to -1 in 1/6, -1, p?
-1
Let v = -214.4 + 214.8. Let k = -0.053 + 0.353. Which is the closest to 0? (a) k (b) v (c) 1
a
Suppose -9*i + 261 = 243. What is the closest to -1 in -5, 11, i, 22?
i
Let w(p) = 31*p - 83. Let v(r) = 34*r - 84. Let n(x) = 6*v(x) - 7*w(x). Let k be n(6). Which is the closest to 1? (a) k (b) 0.078 (c) -0.1
b
Let z = 0.26519 + 333.71481. Let w = -334 + z. Which is the nearest to -1? (a) w (b) 0 (c) 10 (d) 0.2
a
Let x = 121/1010 + -2/101. Let g = -4 + 3.89. Let i = 0.41 + g. What is the nearest to -0.4 in i, -2, x?
x
Let t = -27 - -48. Let q = t - 37. Let o = q + 11. Which is the nearest to -4? (a) 2/11 (b) -1 (c) o
c
Let y = 218.96 - 105.26. Which is the closest to y? (a) -0.4 (b) -4 (c) 4
c
Suppose -12 = 4*x, -107 = -5*z - 3*x - 106. What is the closest to -1 in 5, 1/2, -19, z?
1/2
Let p = 2145.89 - 2146. What is the nearest to 4 in p, -4/5, 3?
3
Let r = 24.912 + 0.688. Let m = -24.6 + r. Which is the closest to m? (a) -0.2 (b) -4 (c) 4
a
Let t = 176 + -175.9. Let f be -4 + 5*12/14. Which is the nearest to t? (a) -3 (b) -4 (c) f
c
Suppose 2*j = -5*f - 18, -3*j + 2 = -2*f - 9. Suppose u = 3*a - j - 0, 0 = 3*a + u - 5. Let h = -973/5 - -194. What is the closest to 0 in 6, h, a?
h
Let u = -383 + 377. Let n be 20/u + 204/68. Which is the closest to n? (a) -4/5 (b) -4 (c) 3/2
a
Let g = 15844/13245 - -10/2649. Which is the closest to -3? (a) g (b) -3 (c) 23 (d) 3
b
Let o = 81 - 72. Suppose -o = y + 2*n, -13*y + 9*y - 5*n - 30 = 0. Suppose 2*j + 4 = -g, -2*j = 3*j + 15. Which is the nearest to -6? (a) g (b) y (c) -0.1
b
Suppose 5*r = -m - 15, 2*r = -3*m - 0 - 19. Let l be r/(-4)*2/(-3). Let t be 16 + 665/(-84)*2. Which is the nearest to -2/5? (a) l (b) t (c) 0.1
a
Let g = 1973 + -1972. Which is the nearest to -1/3? (a) g (b) -1 (c) 54/17 (d) -0.4
d
Let z = 0.1488 - 125.1288. Let k = -125 - z. What is the nearest to 3/7 in -0.5, k, 1?
k
Let p be -11*(214/22 + (-27 - 9568/(-352)) + -10). Suppose 5*v + 10 = 5*x, 0*x - 4*x - 3*v - 20 = 0. Which is the closest to 2/51? (a) p (b) x (c) -1/2
c
Let k = -0.79 + -0.01. Let m be (-1331 - -1299) + (-844)/(-26). What is the closest to -1 in 1, m, k?
k
Suppose -400 = -8*w + 248. Let p = w + -244/3. Which is the nearest to 0.9? (a) 2/5 (b) p (c) 5 (d) -0.2
a
Let n = -6.1602 - -6.2602. Let g = -14/3 + 64/15. Which is the closest to g? (a) n (b) 0.3 (c) 8
a
Let m = 8417/110 + -1701/22. Which is the closest to 1? (a) 335 (b) m (c) -3
b
Let q = -2573 + 2573.125. What is the nearest to -1 in q, 0, 2, -0.3?
-0.3
Let u be ((-42)/(-54))/(152/(-171)). Which is the nearest to u? (a) -2 (b) 2/3 (c) -4 (d) -1
d
Let f = -3.1 + 3. Let q = -0.47927 - -0.87927. Which is the closest to -0.1? (a) f (b) -2/7 (c) q
a
Let x = 239/6 - 40. Let d = 690 + -691. Which is the nearest to 0? (a) d (b) 3/4 (c) x
c
Let y = -4134.4 - -4131. Which is the nearest to 1/2? (a) 2/7 (b) 1 (c) y (d) 0.8
a
Let t = -244 - -245. Let i be ((-1310)/(-42))/((-8)/24). Let y = -94 - i. Which is the closest to t? (a) 3 (b) y (c) 4
b
Let r = 0.895 + 0.105. Let i = -5/51 + 13/17. What is the nearest to 2 in i, -0.1, r?
r
Let s = 14/9 + -11/9. Let x = 12181 + -12184. Which is the nearest to s? (a) x (b) 1 (c) 1/4
c
Let i = -2.948 - -9.948. Which is the closest to -0.5? (a) i (b) -2/7 (c) 9
b
Let f = -1135 + 552. Let g = 588 + f. Which is the nearest to 1? (a) 5/3 (b) -3/17 (c) g
a
Let m = -2/47 - 88/141. Let w = -5.43 + 3.43. Which is the closest to w? (a) 0.1 (b) -0.5 (c) m
c
Let x = 0.02036 + -0.02036. What is the nearest to x in -0.1, -179, 3/7?
-0.1
Let k = 243 + -149. Let l = k + -93. Let p = -5 + 10. Which is the nearest to 1/3? (a) l (b) 0 (c) p
b
Let v = -15899 + 15895. Which is the closest to -34? (a) 1/2 (b) -1/9 (c) v
c
Let l = -5020 - -5020.3. Let o = -237/4 - -59. Which is the nearest to 5/6? (a) l (b) -3 (c) o
a
Let d = -7 - 25. Let w = d - -35. Suppose 4*u + 5*f - 9 = 0, 4*u + 5*f - 7 = 2*f. Which is the closest to u? (a) w (b) -4/5 (c) -1/2
c
Let r = 96.14 - 96.64. Let z = 0.2 - 0.2. Let y = 0.18 - 0.08. What is the closest to y in 11/5, r, z?
z
Let g = -1207.39 - -1213. Let c = g + -0.61. Let l(q) = -3*q + 17. Let p be l(6). What is the closest to p in 1, c, -0.2?
-0.2
Let k be (3/4 - 497/1420)*5/18. What is the nearest to 1 in -1/4, -0.05, 2, k?
k
Let q = 287 + -106. Let w = -176 + q. What is the nearest to -9 in -2/7, -2/17, w?
-2/7
Let u = 9426 + -9417. Which is the nearest to u? (a) -6 (b) -3/8 (c) -3 (d) 2
d
Let g = -5663 + 5668. Let j = -0.2 + 0.1. Which is the nearest to j? (a) -1/5 (b) g (c) 0.24
a
Let m = -4277.06 + 4362. Let i = 85 - m. What is the nearest to 0 in 0.1, 2, i?
i
Let p be 26/(-6) + (-7)/(-21) + 3. Suppose -5*o + 2 = -4*o. Which is the closest to p? (a) 5 (b) o (c) 1
c
Let n = -5330.4 + 5330. What is the nearest to 0 in -1/7, n, 101?
-1/7
Let c = -5.4 - -5. Let w be (-2)/(-27) + (-289800)/8505. What is the nearest to 1 in c, -1, w?
c
Let w = 10849 + -10850. Which is the nearest to -57/8? (a) -0.4 (b) -0.7 (c) w
c
Let d(s) = 4*s**2 - 34*s + 52. Let p be d(6). What is the nearest to 1/5 in 0.3, 9, -1/4, p?
0.3
Suppose -296*f = -288*f + 2088. What is the closest to 0 in 4, f, -0.5?
-0.5
Let m = -2/114239 - 129661031/13365963. Let r = 88/9 + m. Which is the nearest to r? (a) -0.4 (b) 2/13 (c) 3/7
b
Let i = -16201 - -16140. Which is the closest to i? (a) 3 (b) -0.2 (c) -0.3 (d) 6
c
Let m = 0.3 - -0.7. Let x = -398 + 397.8. L | {
"pile_set_name": "DM Mathematics"
} |
ms in -148034*b**2 + 444487*b**2 - 148197*b**2 - 148071*b**2.
185*b**2
Collect the terms in 2*c + 163 - 524 + 213 + 201.
2*c + 53
Collect the terms in -37 - 184417*h**3 + 71 - 34.
-184417*h**3
Collect the terms in 285 - f - 1196 + 63.
-f - 848
Collect the terms in 5588 + 40*c + 5581 - 11169 - 3003*c.
-2963*c
Collect the terms in 3*r**3 + 97*r - 85*r - 210*r**2 - 213*r**2 + 423*r**2.
3*r**3 + 12*r
Collect the terms in -1180*o - 1156*o + o**3 - 29*o**2 - 9*o**2 + 2336*o.
o**3 - 38*o**2
Collect the terms in -122 - 23 + 3606*m + 24 - 3604*m - 46.
2*m - 167
Collect the terms in 249*b - 741 - 502*b + 373 + 368 + 254*b.
b
Collect the terms in 2*j**2 - 6 + 2398*j + 11 - 2398*j + 2 - 2.
2*j**2 + 5
Collect the terms in -123*m**2 + 1351*m**2 - 383*m**2 + 823*m**2.
1668*m**2
Collect the terms in 1848 + 5*l**3 - 11*l - 26*l + 3*l + 34*l.
5*l**3 + 1848
Collect the terms in 60*a**2 - 121*a**2 + 36*a**2 + 13*a**3 + 25*a**2.
13*a**3
Collect the terms in 1468*x - 4242*x + 1397*x + 1402*x.
25*x
Collect the terms in -5180*f + 5180*f + 143960*f**2.
143960*f**2
Collect the terms in -1799512948 - 4*o + o + 1799512948.
-3*o
Collect the terms in -4*z - 18809692046 + 18809692046.
-4*z
Collect the terms in -277*x**3 + 275*x**3 + 17250530*x - 17250530*x.
-2*x**3
Collect the terms in -50225*h**2 + 12559*h**2 + 12560*h**2 + 12572*h**2 + 12552*h**2.
18*h**2
Collect the terms in -332*s - 17*s - 937*s - 534*s.
-1820*s
Collect the terms in -2048278*l + 4096886*l - 2048615*l.
-7*l
Collect the terms in 44*d**2 - 91*d**2 + 64*d**2 - 99*d**2 + 58*d**2.
-24*d**2
Collect the terms in 18912 + 4*f**3 - 9450 - 9429.
4*f**3 + 33
Collect the terms in -121077876073 - 20*c + 121077876072 - 31*c.
-51*c - 1
Collect the terms in 1029 + 5*p**2 + 20*p**3 + 1023 - 4103 + 1024 + 1027.
20*p**3 + 5*p**2
Collect the terms in -86 - 79 - 75 + 1177*v**2 + 240.
1177*v**2
Collect the terms in 715*g**3 + 2918*g**3 + 389*g**3 - 430*g**3.
3592*g**3
Collect the terms in 0*q - 43*q**2 + 6*q + 30*q**2 + 22*q**2 - 5*q + 30.
9*q**2 + q + 30
Collect the terms in -17590 + 46705*m**2 + 17590.
46705*m**2
Collect the terms in 296 - 296 + 4876*u**3.
4876*u**3
Collect the terms in 18416*t**2 + 0*t + t + 2443*t**2.
20859*t**2 + t
Collect the terms in -1510 + 5*h**2 + 12*h**3 + 92*h**3 - 5*h + h + 1510.
104*h**3 + 5*h**2 - 4*h
Collect the terms in -56*h**2 - h**3 + 6*h**2 - 67*h**2 - 165*h**2 + 57*h**2.
-h**3 - 225*h**2
Collect the terms in -1670 + 316*d - 9*d**2 + 3*d**2 + 1670 + 2*d**2 + 6*d**2.
2*d**2 + 316*d
Collect the terms in 52106*o**3 - 7980*o**3 + 64400*o**3 + 22253*o**3.
130779*o**3
Collect the terms in 13313 - 26593 + 13280 + 162*z**2 - 48*z**2.
114*z**2
Collect the terms in -305*g**2 - 16*g - 13 + 20*g**2 + 2 + 9.
-285*g**2 - 16*g - 2
Collect the terms in 94 - 535*b**2 + 10*b - 136*b**2 - 92.
-671*b**2 + 10*b + 2
Collect the terms in -43390*x + 18*x**3 - 12*x**3 + 43390*x.
6*x**3
Collect the terms in -21866478 + 43732956 + 58*j**2 - 21866478.
58*j**2
Collect the terms in 2509 + 2510 + 2505 - 7524 + 50*q.
50*q
Collect the terms in 548015*h**2 + 547135*h**2 + 548024*h**2 - 1643176*h**2.
-2*h**2
Collect the terms in -166517537 + 2*g**2 + 166517537.
2*g**2
Collect the terms in -795598 + 360090 + 224649 - 778549 + 3*k.
3*k - 989408
Collect the terms in 18959*l - 41061*l + 22104*l.
2*l
Collect the terms in -9631882*f**3 - 9631740*f**3 + 19263790*f**3.
168*f**3
Collect the terms in 20369*g**2 - 121138*g**2 - 61189*g**2.
-161958*g**2
Collect the terms in 6 - 385*u**2 + u**2 + 1391*u - 1393*u.
-384*u**2 - 2*u + 6
Collect the terms in -17757*s**2 + 48043 - 48043 + 17752*s**2.
-5*s**2
Collect the terms in -t - 2299*t**2 - 6*t**3 + 163 + 2299*t**2 - 3*t**3.
-9*t**3 - t + 163
Collect the terms in -112*c**3 + 352*c - 176*c - 197*c.
-112*c**3 - 21*c
Collect the terms in 2*v**3 + 454538 - 454538 - 4*v**3 + v**3.
-v**3
Collect the terms in -418*h**2 - 383*h**2 + 4*h**3 + 327*h**2.
4*h**3 - 474*h**2
Collect the terms in 3*r**2 - 51120367 - 3*r**2 + 1126*r**3 - 2224*r**3 + 51120367 + 1106*r**3.
8*r**3
Collect the terms in 458610*q - 229306*q + 3*q**2 - 229304*q - 2*q**2.
q**2
Collect the terms in 397*v**2 + 353*v**2 - 1116*v**2 + 353*v**2.
-13*v**2
Collect the terms in -193*u - 68*u + 299*u + 5 - 5 - 35*u.
3*u
Collect the terms in 258*h**2 - h**3 + 1585*h - 66*h**2 - 3175*h + 1593*h.
-h**3 + 192*h**2 + 3*h
Collect the terms in 174151476138504*k**2 - 174151476138526*k**2 - 3*k + 3*k.
-22*k**2
Collect the terms in -2346*o + 591*o - 178*o - 3436*o.
-5369*o
Collect the terms in -26598*z**2 + 82734*z**2 - 29588*z**2 - 26594*z**2.
-46*z**2
Collect the terms in 542*f**2 + 95 + 73 + 2*f - 168 - 1776*f**2.
-1234*f**2 + 2*f
Collect the terms in -932 + 163956*z**3 + 932.
163956*z**3
Collect the terms in 377291 - 377291 + 1036*d**3.
1036*d**3
Collect the terms in -30 - 97*n - 13 + 65 - 22.
-97*n
Collect the terms in 14*i**3 + 54*i + 101*i - 74*i - 81*i.
14*i**3
Collect the terms in -4*q - 10963285 + q + 10963307.
-3*q + 22
Collect the terms in -2*o**3 + 20*o**2 - 1915881497*o + 1915881497*o.
-2*o**3 + 20*o**2
Collect the terms in 5341*k**3 + k - 973 + 973 - 5756*k**3 - k.
-415*k**3
Collect the terms in 26*w - 32*w + 33976 - 13*w + 21*w - 33976.
2*w
Collect the terms in 66919002 - 66919002 - 2*o.
-2*o
Collect the terms in -584*s**2 - 21 + 39 - 1224*s**2 - 240*s**2 - 17.
-2048*s**2 + 1
Collect the terms in 140*g - 86299937*g**2 + 22*g + 86299934*g**2.
-3*g**2 + 162*g
Collect the terms in -9*v**3 + 7913 + 504 - 8417.
-9*v**3
Collect the terms in 18*p - 42 + 49*p + 33 + 51 + 59.
67*p + 101
Collect the terms in -8*m + 280660 + 280589 - 6*m - 561249 + 0*m.
-14*m
Collect the terms in -50204*m + 150389*m - 50194*m - 49992*m.
-m
Collect the terms in 2571*f - 8215*f + 2889*f + 2854*f.
99*f
Collect the terms in 48003*h**3 + 10*h**2 - 6*h**2 + 54181*h**3 + 130745*h**3.
232929*h**3 + 4*h**2
Collect the terms in -79*l - 99*l + 32279*l**2 + 178*l + 18182*l**2.
50461*l**2
Collect the terms in -35649*b - 39995*b - 35807*b + 145414*b - 39292*b.
-5329*b
Collect the terms in 7*v**2 + v**2 - 45*v**2 + 6*v**2 + 8*v**2.
-23*v**2
Collect the terms in 1 - 1 + 7833048906*u**3 - 7833048884*u**3.
22*u**3
Collect the terms in -919*v**3 + 6657644*v**2 - 6657644*v**2.
-919*v**3
Collect the terms in 18*w**2 + 75*w**2 + 51*w**2 + 28*w**2 + 57*w**2 + 3*w - 39*w**2.
190*w**2 + 3*w
Collect the terms in 2*f**3 - 219433*f**2 + 163126*f**2 + 56307*f**2.
2*f**3
Collect the terms in -315 + 40*n - 18*n + 315 + 39*n.
61*n
Collect the terms in -51697*y + 0 - 51701*y + 102796*y + 0.
-602*y
Collect the terms in -293*n**2 - 162*n**2 - 196*n**2 - 64.
-651*n**2 - 64
Collect the terms in 35*w + 150*w + 136*w + 157*w + 53*w.
531*w
Collect the terms in -8033250821 + 8033250821 - 95*v**2 - v**3.
-v**3 - 95*v**2
Collect the terms in 103*w**2 - 77*w**2 + 72*w**2 - 76*w**2.
22*w**2
Collect the terms in -20009*b**2 - 1266*b + 2489*b - 1223*b.
-20009*b**2
Collect the terms in 14752*r - 4*r**2 + r**2 - 2*r**2 - 3.
-5*r**2 + 14752*r - 3
Collect the terms in 64 + 61 - 204 - 35 + 114 - 3*s.
-3*s
Collect the terms in -7329*u + 2293*u + 2589*u - 24904*u + 4.
-27351*u + 4
Collect the terms in -90*b**2 - 145*b**2 + 45*b**2 - 108*b**2.
-298*b**2
Collect the terms in 405 - 1291 + 6*p - 530 - 169.
6*p - 1585
Collect the terms in 8394*v - 8230*v + 133*v**2 - 134*v**2.
-v**2 + 164*v
Collect the terms in -82613*u - 82175*u - 82345*u + 330400*u - 82307*u.
960*u
Collect the terms in -109937*r - 386 - 389 + 773.
-109937*r - 2
Collect the terms in -82948179*f**2 + 41474180*f**2 + 41474000*f**2.
f**2
Collect the terms in 2771*s**2 + 79*s - 79*s + 2827*s**2 - 8424*s**2 + 2825*s**2.
-s**2
Collect the terms in 13934 + 7*m + 0*m + 2445.
7*m + 16379
Collect the terms in 1609618*b - 14 - 804762*b - 804858*b.
-2*b - 14
Collect the terms in 14910 + 0*s**2 - 14910 - 3*s**2 - 57*s**3.
-57*s**3 - 3*s**2
Collect the terms in -6*h**3 - 57*h**3 + 3258 - 3260.
-63*h**3 - 2
Collect the terms in -15 - 25 + 152253*a + 40 - 152251*a.
2*a
Collect the terms in -33932*l**2 - 35017*l**2 + 537630*l**2.
468681*l**2
Collect the terms in i - 4*i**3 + 8*i**3 + 1 - 2 - 4*i + 1005*i**2 - 737*i**2.
4*i**3 + 268*i**2 - 3*i - 1
Collect the terms in 298441645 + 2*x - 298441645.
2*x
Collect the terms in 54*t**2 + 20*t**2 - 5 + 2 + 3 - 20*t**2. | {
"pile_set_name": "DM Mathematics"
} |
is the closest to 0.7 in -1, 1/7, 3, 2?
1/7
Which is the closest to 0.3? (a) -5 (b) 3 (c) 2/9 (d) 19
c
What is the nearest to 0.2 in -0.5, 1/670, -0.2?
1/670
Which is the nearest to -9? (a) -0.05 (b) 0 (c) 0.2 (d) -5
d
Which is the closest to 57? (a) 0.4 (b) -2/3 (c) 0.1
a
Which is the nearest to -3? (a) 4 (b) -0.5 (c) 1.8 (d) -2
d
Which is the nearest to 0.2? (a) -5 (b) 0.7 (c) -9
b
What is the nearest to -19 in 4, -4, 0.2, 1/51?
-4
Which is the nearest to 0? (a) 0.3 (b) 0.082 (c) 1/2
b
What is the closest to 1/8 in 5, 3/2, -6?
3/2
What is the nearest to -0.1 in -0.02, -5, 2, 2/5?
-0.02
Which is the closest to 1? (a) 2 (b) -2 (c) -22/7
a
Which is the nearest to 1/5? (a) -1/4 (b) 0.1 (c) -2/7 (d) 1/16
b
What is the closest to -2/3 in 6/23, 4, 4/3?
6/23
Which is the nearest to -2/9? (a) -5 (b) -2/9 (c) 1 (d) 4/3
b
Which is the nearest to 0.1? (a) -10/181 (b) -5 (c) 0.2
c
Which is the closest to -226? (a) -0.2 (b) 4 (c) -3 (d) -4
d
Which is the closest to 2? (a) 1 (b) 1/8 (c) 1/4
a
Which is the closest to 0.1? (a) 2 (b) -2 (c) -0.3 (d) 40
c
What is the nearest to 2/7 in -1/4, -3, -11?
-1/4
What is the closest to 1/4 in -0.08, -0.5, 1/2?
1/2
Which is the nearest to 0.06? (a) 5 (b) 0.03 (c) -83
b
Which is the closest to -0.2? (a) 0.5 (b) 7 (c) -27 (d) -2/9
d
Which is the closest to 0? (a) 1.9 (b) -4 (c) 3 (d) -0.3
d
Which is the nearest to 0? (a) 0.3 (b) 3 (c) 2/7
c
Which is the nearest to -0.3? (a) 4 (b) 0.1 (c) -3/4
b
Which is the nearest to 1? (a) -0.05 (b) -9 (c) 0.5
c
Which is the nearest to 4? (a) 15 (b) -3 (c) -5
b
What is the nearest to 1.3 in -0.3, 15, -2/35, 1/2?
1/2
Which is the nearest to -3? (a) 5/6 (b) 2 (c) 1/9
c
What is the closest to -0.13 in -2/5, 1, -5, 1/2?
-2/5
Which is the nearest to 2? (a) 2/5 (b) -1/6 (c) 11
a
Which is the nearest to 2/3? (a) -2/5 (b) -3 (c) 4.61 (d) -5
a
Which is the nearest to -0.1? (a) -4 (b) -2 (c) 2/9 (d) 1
c
What is the closest to -4 in -1/8, -2/9, 3, 0?
-2/9
Which is the closest to 1? (a) 1 (b) -0.051 (c) 1/4
a
Which is the nearest to -11/2? (a) -1 (b) 6/5 (c) -3 (d) 2/7
c
Which is the nearest to 1? (a) -2 (b) 2 (c) -5 (d) 3
b
Which is the nearest to 5? (a) 0 (b) 2/115 (c) -2/7
b
What is the nearest to -0.2 in 14, -0.03, -4/7, 1/6?
-0.03
What is the nearest to -3 in 3, -1, 10, 0.1?
-1
What is the closest to 1 in -8, 0.01, 3/5, -0.01?
3/5
Which is the closest to 0? (a) 2/5 (b) 4 (c) 3
a
Which is the nearest to 1/2? (a) 374 (b) -5 (c) -1 (d) -3
c
What is the nearest to -0.2 in -0.5, -0.3, -4/7, -3?
-0.3
What is the nearest to -0.2 in 1/9, 2/11, -3, -1?
1/9
Which is the nearest to 0.1? (a) -1/10 (b) 2 (c) 4/17 (d) 1
c
Which is the closest to 1? (a) 4/5 (b) 0.3 (c) -2 (d) 14
a
Which is the closest to 1? (a) -4/9 (b) 0.2 (c) 26
b
What is the closest to 4 in 3, -2/15, 2, -1/5?
3
What is the closest to -1.7 in -0.2, 1, -5?
-0.2
Which is the nearest to 14? (a) 1/2 (b) -2/3 (c) -1 (d) -5
a
What is the nearest to 13 in -1.4, -0.2, 2/7, -5?
2/7
Which is the closest to 0.1? (a) 2 (b) -46 (c) 6 (d) 0.1
d
What is the nearest to 0.1 in -2/7, 11, -1/16, 2?
-1/16
Which is the nearest to 2/3? (a) 1/4 (b) 0.2 (c) 62
a
What is the closest to 0.2 in -7, -14/9, -1/10?
-1/10
What is the nearest to -1/3 in -3/5, -3, -2/3?
-3/5
Which is the closest to 0.3? (a) -1 (b) -2/7 (c) 44/5
b
What is the nearest to 0.1 in 0.5, 5, 4?
0.5
What is the closest to -0.04 in -4, -60, 0.4?
0.4
What is the nearest to -4 in -0.4, 3, -3, 0.062?
-3
What is the closest to 0.54 in -0.2, 1, 5, 1/2?
1/2
Which is the nearest to -3/29? (a) 1 (b) -2/9 (c) 2/7 (d) 2/11
b
What is the nearest to 0 in -4, -0.4, -1, 1/2?
-0.4
Which is the closest to 4? (a) -0.3 (b) -0.2 (c) 3
c
Which is the closest to -1? (a) 2 (b) -327 (c) 0.1 (d) 4
c
Which is the closest to 2/5? (a) -0.2 (b) 0.04 (c) -0.4 (d) -9
b
Which is the closest to -1? (a) -6 (b) 1/4 (c) 2/5
b
Which is the nearest to 2/7? (a) -4 (b) -3/4 (c) -194 (d) -0.4
d
What is the nearest to 1 in -1, -2, -4, 7.6?
-1
What is the nearest to 1 in 1.2, -193, 1/8?
1.2
What is the closest to 2 in 1/4, 5, 3.1, 0.1?
3.1
Which is the nearest to -3? (a) 0.3 (b) 1 (c) 27/5
a
What is the closest to 0 in 0, -2/3, 4/5?
0
Which is the nearest to 3? (a) -5 (b) -0.2 (c) -2
b
Which is the closest to -3/4? (a) -5 (b) 0.07 (c) 0.5 (d) 1
b
What is the closest to 0 in -5, 0.18, 3/2?
0.18
Which is the nearest to -10? (a) 2/3 (b) 1/3 (c) -2
c
What is the closest to -4/3 in -3/8, 0.05, -5, 7?
-3/8
Which is the closest to -2/5? (a) -2/15 (b) 1/6 (c) -0.06 (d) 0.5
a
What is the closest to 2/3 in -2, 0.1, 0.2, -0.3?
0.2
Which is the closest to 4? (a) 16/11 (b) -2 (c) 0.2 (d) 1/2
a
What is the closest to -0.1 in -1/21, -0.3, 18?
-1/21
Which is the closest to -2/3? (a) -15/149 (b) -2/13 (c) 4
b
Which is the nearest to 1? (a) 0.1 (b) -0.3 (c) 17
a
What is the nearest to 36 in -6, -5, -3?
-3
What is the closest to -6 in -3/7, -2, 277, 2?
-2
Which is the nearest to 0? (a) -6 (b) 0.3 (c) 7
b
Which is the nearest to 0? (a) 29 (b) -5 (c) -2/9 (d) -4
c
Which is the closest to -1/3? (a) -15 (b) -1/3 (c) -0.06
b
Which is the closest to -0.01? (a) 0.3 (b) 0.5 (c) 8/5
a
Which is the closest to -0.5? (a) 0.4 (b) -1 (c) 0.5
b
What is the nearest to -1 in 75, 0.2, 1?
0.2
What is the nearest to 0.1 in 4, -0.5, 1/7, 0.03?
1/7
What is the nearest to 1.1 in -4, -2, 0.02, -2/7?
0.02
Which is the nearest to -0.3? (a) 5 (b) -1/2 (c) -3 (d) -0.3
d
Which is the closest to 73? (a) 4/7 (b) -1 (c) 1
c
Which is the closest to -0.1? (a) -3 (b) 1/5 (c) 1
b
Which is the nearest to -2? (a) 2/3 (b) 1/6 (c) -4 (d) -1
d
Which is the closest to 1/18? (a) -1 (b) -2/13 (c) 3/56
c
Which is the closest to -2/3? (a) -7 (b) -0.06 (c) 1 (d) 0.1
b
What is the nearest to 2 in 1, 174, 4?
1
What is the closest to -0.8 in 1, 4, -4, 0.07?
0.07
What is the nearest to 0.1 in -2, -0.5, -5/6?
-0.5
Which is the closest to 0? (a) -67/5 (b) 2/11 (c) 2
b
Which is the nearest to 9? (a) -3 (b) -4 (c) 1.2
c
What is the closest to -1 in -0.1, -0.2, 1.42?
-0.2
What is the closest to -1 in -2/3, 1.2, 2, 2/5?
-2/3
What is the closest to -33/5 in 4, 1, 2?
1
What is the closest to 9/8 in -4, 1.2, -2/5?
1.2
What is the nearest to 2/7 in 1/9, -2/7, 2?
1/9
Which is the closest to -0.2? (a) 0.3 (b) -0.4 (c) -24 (d) -2/13
d
Which is the nearest to 0? (a) 1 (b) -2/9 (c) 0.5 (d) 4
b
Which is the nearest to 2? (a) -0.3 (b) 3/2 (c) -2/9 (d) -0.9
b
What is the closest to -0.1 in -1/43, 0.4, -0.1?
-0.1
Which is the closest to -9? (a) 5 (b) 0.8 (c) -3/5
c
What is the closest to -0.13 in -1/5, -30, -5?
-1/5
Which is the closest to -0.1? (a) 4 (b) 9 (c) 5
a
Which is the nearest to 24? (a) 2/11 (b) -2/13 (c) 0.1 (d) 4
d
Which is the nearest to -3? (a) -0.4 (b) 3/4 (c) 0.7
a
What is the nearest to 1 in 12, 1/3, -0.2, -8/9?
1/3
Which is the closest to -1/2? (a) 3 (b) -5 (c) -1/30 (d) 1
c
Which is the closest to 1? (a) -13 (b) -1 (c) 5
b
What is the nearest to 5 in -2/25, 2/7, 4, -3?
4
What is the nearest to 2 in -3, -6, 2/5, 0.2?
2/5
What is the closest to 8 in -3, 1, -7, 4?
4
Which is the nearest to 0? (a) 4.9 (b) -1/5 (c) -1/2 (d) -1
b
What is the nearest to 0.1 in 2, 0.1, 2/45, -3?
0.1
What is the closest to 0.139 in -4, -3, 4?
-3
Which is the closest to 0.2? (a) -6 (b) -0.3 (c) 1 (d) -121
b
What is the closest to 1/2 in 0, -15/14, 4, -1/2?
0
What is the nearest to 0 in 5, 4, -0.4?
-0.4
What is the closest to 0.2 in -0.05, -3/2, -0.6?
-0.05
Which is the closest to 0? (a) -4 (b) 0.175 (c) 1/7
c
What is the closest to -1 in 3/4, 2, 9, 4?
3/4
Which is the closest to -2? (a) -28/19 (b) 3/5 (c) 4 (d) 1/5
a
What is the nearest to 0 in 1/3, -36, -4?
1/3
What is the closest to -1/3 in 13, -1/4, -0.2, 2?
-1/4
Which is the closest to 0.2? (a) -4 (b) -3 (c) -24 (d) 4
b
Which is the closest to -1? (a) -9 (b) 1 (c) -8/17 (d) -1/5
c
What is the closest to 2 in 0.197, 0.3, -0.3?
0.3
What is the closest to 11 in 2, -1/3, 2/3?
2
What is the closest to -0.1 in -13, 2/5, -0.05, -2/15?
-2/15
Which is the nearest to 0.1? (a) -1102 (b) -3/2 (c) 5
b
Which is the | {
"pile_set_name": "DM Mathematics"
} |
16. Let i be c(5). Does 11 divide z(i)?
False
Let l(c) = -158*c - 150. Let x(z) = z**2 - 4*z - 22. Let s be x(6). Is 13 a factor of l(s)?
True
Let d(u) = -11 - 11 + 3*u**2 - 3*u**3 + 24. Let t be d(4). Let z = 321 + t. Is z a multiple of 46?
False
Is 235 a factor of 22786 + (27 - (16 - -2))?
True
Let q = 791 + -786. Is 101/(98/16 + (-1 - q)) a multiple of 37?
False
Let t(p) = 4*p**2 - p + 2. Let k be t(-4). Let f = 72 - k. Suppose -f*a = -4*l - 6*a + 52, -3*l = -2*a - 19. Does 3 divide l?
True
Let f = 1208 - -592. Suppose 8*k + f = -k. Does 10 divide -3*7/(84/k)?
True
Suppose 21*o - 54575 = 34414 + 26868. Is o a multiple of 11?
False
Let l = 607 - 604. Suppose j - 147 - 57 = 2*c, -l*j - 4*c + 652 = 0. Does 12 divide j?
False
Let k(u) = -u**2 - 10*u - 2*u - 4*u - 10. Let d = 1242 + -1253. Is k(d) a multiple of 15?
True
Let z(i) = -44*i - 179. Let p be z(-7). Suppose u - p = 222. Does 13 divide u?
True
Let r be (-11 - -16)*(-99)/(-15). Suppose 618*i - 617*i = r. Is i a multiple of 2?
False
Let y be 6/(19/((-95)/(-10))). Is 32 a factor of (5764/15 + (-34)/(-85))*y?
False
Let m be (160/56)/(0 + 6/(-21)). Is 1035/(-6)*m/15 a multiple of 7?
False
Let f = 25615 - 8723. Does 64 divide f?
False
Let y = 15920 + -5635. Is y a multiple of 55?
True
Suppose 0 = -w + 13 + 1. Let u = w + 23. Suppose -5*g - 39 = -3*z, 3*z - g - u = -10. Is 4 a factor of z?
True
Is -303 + 3598 - 14/1 a multiple of 20?
False
Suppose 217*v - 304819 - 827921 = 0. Is 47 a factor of v?
False
Let r = -33 - -36. Suppose -4*i + i - 101 = -v, 15 = -r*i. Suppose -3*x + v = -5*n, -2*n + 49 = 2*x + 3*n. Does 5 divide x?
False
Does 28 divide 122010/9*((-108)/(-15) + -6)?
True
Let v(k) = -14*k**3 + k - 1. Let y be v(1). Let a be 7/(-5) - (-180)/(-300). Let j = a - y. Is 8 a factor of j?
False
Let a be 10/(-15) - 11/(-3). Let f(b) = 2*b - 6. Let q be f(3). Suppose 4*c + a*l = 35, q*l = -2*c + 4*l + 12. Is c a multiple of 4?
True
Suppose -4*d + 24 = 2*d. Suppose 64 = d*n - 104. Let g = n + -26. Is 3 a factor of g?
False
Let o(d) be the first derivative of -29*d**4/2 + d**3/3 - d - 67. Is o(-1) a multiple of 6?
False
Let f(w) = 501*w**2 - w - 2. Let z be f(-1). Let t(p) = 8*p**2 + 2*p - 40. Let v be t(-7). Let j = z - v. Is 15 a factor of j?
False
Let s = -6061 + 7864. Is 36 a factor of s?
False
Let x(s) = -s**3 - 9*s**2 - 8*s - 1. Let w be x(-8). Let t be (140/24*-3)/(w/4). Suppose 2 = q - t. Is q a multiple of 18?
True
Suppose -1768*i = -1782*i + 52797 + 17203. Is 30 a factor of i?
False
Let m(g) be the third derivative of -g**5/60 - 7*g**4/4 + 6*g**3 + 126*g**2. Does 9 divide m(-15)?
True
Let d(v) = -v**3 - 22*v**2 + 107*v + 402. Does 119 divide d(-39)?
False
Let q(s) = 2*s. Let v be q(2). Suppose v*c = -5*m + 1, 0*c + 13 = m + 4*c. Is (69*1)/(m/(-2)) a multiple of 23?
True
Suppose -5*m - 31 = -2*d, -2*d + 4*m = -6*d + 48. Let g = 14 - d. Does 16 divide (-4 + 216/4)*g?
False
Suppose -422 + 27 = 5*p. Let z = p - -69. Is 57 a factor of ((-76)/z)/(-2 - (-488)/240)?
True
Let s be 5/10*8/(-1*2). Let u be (s - (-194)/4)*(5 - 3). Suppose -4*l + 3*d = 25 - 166, -2*l + u = 3*d. Is l a multiple of 13?
True
Let g(t) = 2*t**2 + 60*t - 22. Suppose 21*n + 311 = -403. Is 40 a factor of g(n)?
False
Let q(z) = z**2 - 34*z - 1243. Is 43 a factor of q(-64)?
False
Suppose j - 1 = 4. Let y = -488 + 503. Is 12 a factor of y/j + -6 - -85?
False
Let x = 9896 + -4141. Is 13 a factor of x?
False
Let x be (-2)/(-6) + 96/9. Let h(v) = -22*v - 15*v - x*v + 0*v - 4. Is 23 a factor of h(-2)?
True
Let p = 1131 - 2573. Let m(f) = 28*f**2 - 3*f + 2. Let o be m(2). Is 15 a factor of (-18)/o - p/12?
True
Let a(z) = 3*z + 77. Let n be a(-24). Suppose 5*w + n*w - 40 = 0. Suppose 2*c - 37 = -3*q + 3*c, 0 = 2*q - w*c - 8. Is q a multiple of 14?
True
Let u(b) = 4*b**3 + 13*b**2 - 8*b + 1. Let m(c) = c**3 + 0*c**3 + 7*c**2 - 7*c**2. Let g(a) = 3*m(a) - u(a). Is 18 a factor of g(-14)?
False
Let a(i) = -i**2 - 27*i - 48. Let n be a(-9). Let z = 249 - n. Is 9 a factor of z?
True
Let m = 451 + -170. Suppose -5*c = -1131 + m. Is c a multiple of 5?
True
Is 29 a factor of (-30)/(-9)*((-14858)/(-230))/(4/150)?
False
Let r = -8394 + 29670. Is 11 a factor of r?
False
Suppose 4*n = 9*n + 2*c - 2389, -6*n + c = -2894. Does 6 divide n?
False
Suppose n = -2*n + 222. Suppose 3*g + 59 = n. Suppose 10*u - 20 = g*u. Is u a multiple of 2?
True
Let o(f) = 6 - 26 - 23 - 89*f. Is 18 a factor of o(-6)?
False
Let b(n) = n**3 - 10*n**2 - 10*n - 7. Let v be b(11). Suppose 3*u + 8 = -v*y + 5*y, y + 2 = -2*u. Suppose y*m = 250 - 76. Is m a multiple of 38?
False
Let i(o) = -796*o - 1214. Is i(-2) a multiple of 18?
True
Suppose -7*q + 131 = s - 2*q, -4*q = -s + 95. Let w = s - -58. Is 19 a factor of w?
False
Does 45 divide (-15)/2*1380*(-100)/225?
False
Is 7 a factor of 28/42 + (-40738)/(-3)?
True
Suppose -4*g + 5475 = 5*j, -453 = -2*g + j + 2274. Suppose -13*c = -18*c + g. Suppose -6*o = -c + 87. Is o a multiple of 8?
False
Let d be -5*(-6321)/140 + (-3)/4. Suppose -d*w + 960 = -213*w. Is w a multiple of 20?
True
Let v(z) = z**2 + 29*z - 62. Let d be v(-31). Suppose d = m + q - 46 - 105, 4*m + q = 613. Is m a multiple of 23?
False
Let w be ((-1269)/(-2))/(90/(-120)). Let y = -660 - w. Does 34 divide y?
False
Suppose 14*f + 11*f - 408375 = -50*f. Is 9 a factor of f?
True
Suppose 0 = -86*n - 57549 + 852705. Is 67 a factor of n?
True
Let w be 8 + -2 + 0 + 6. Is (-523)/(-2) + 5 + (-54)/w a multiple of 6?
False
Suppose -54*w - 9460 = 55*w - 120*w. Does 172 divide w?
True
Let l(k) be the second derivative of 4*k**4 + k**3 - 3*k**2 - 3*k + 5. Is l(-3) a multiple of 34?
True
Let w(j) = 41*j + 8. Let h(i) = 2*i**2 + 21*i - 28. Let p be h(-12). Is w(p) a multiple of 42?
True
Let z(c) = 4*c + 24. Let b be z(-6). Suppose -3*h - 15 = b, -4*g - h + 4*h + 319 = 0. Is g a multiple of 5?
False
Suppose 3492 = -4*x - 3*d + 5*d, -3*d + 6 = 0. Let m = x + 1236. Does 26 divide m?
True
Let i = 1426 + -5. Is 7 a factor of i?
True
Suppose -g + 1227 = 18*p - 15*p, 0 = 3*g + 3*p - 3651. Is 6 a factor of g?
True
Let u be (-2)/(-4)*-3*-10. Suppose -1092 - 1113 = -u*a. Does 11 divide a?
False
Let s = 417 - 423. Is 4 a factor of 3/s*2*-31?
False
Let s(y) = -y**2 + 16*y - 18. Let f be s(14). Suppose -104 = -2*t + f*t. Let p = 41 - t. Does 18 divide p?
True
Suppose 66*q - 65*q + 2 = 0, 0 = d - q - 1419. Is 13 a factor of d?
True
Suppose 3*g - 5*x - 25101 = 0, 39*g + 6*x - 25134 = 36*g. Is 13 a factor of g?
True
Let v = 816 - 545. Suppose -3*y + 719 = -v. Suppose y = r + r. Is 55 a factor of r?
True
Does 35 divide 19 - (-12 - -27) - (-6012)/2?
True
Let t(b) = -b**3 + 12*b**2 - 7*b - 64. Does 4 divide t(8)?
True
Let l(b) = b**2 - 9*b + 20. Let y be l(6). Suppose t + 0*t - 62 = -y*c, 0 = 3*c + t - 91. Is c a multiple of 5?
False
Let f(l) = 27*l**3 - 3*l**2 - 6*l + 13. Let u be f(2). Let s = 261 - u. Is s a multiple of 4?
True
Let h = -3059 - -3147. Is h a multiple of 11?
True
Let b = 272 + -274. Let c(g) = -25*g - 7. Let v(y) = -y + 1. Let x(m) = c(m) + 2*v(m). Is x(b) a multiple of 35?
False
Suppose 0 = -484*y + 488*y + 88. Let u = 148 - y. Does 5 divide u?
True
Let u(r) = -r**3 - 17*r**2 + 6*r + 60. Let c be (130/(-25) + 4)*(16 - 1). Is 47 a factor of u(c)?
False
Suppose -2*k + 6*a - 2*a = -16, -2*k - 2*a + 10 = 0. Suppose 3 = -r, 4*y + 813 = k*y + 3*r. Does 20 divide y?
False
Let x(i) = 222*i**2 + 485*i - 2862. Does 201 divide x(6)?
True
Suppose 4*g + 7008 = -4*w, 2*w = -3 - 3. Let f be (g/22)/(3/(-4)). Let k = f + -58. Does 12 divide k?
True
Suppose -5*b + 9030 = 5*m - 5420, 0 = -5*m - 3*b + 14462. Is 8 a factor of m?
True
Suppose -55*k - 85241 + 222546 = -518900. Is k a multiple of 41?
True
Suppose 4*r - 5*w - 44955 = 0, 48*r - 49*r + 11238 = -2*w. Is r a multiple of 10?
True
Let j(d) = d**2 + 8*d - 1. Let a be j(-9). Suppose 2*x + 3*l + a = -3, x - 4*l = 22. Suppose -x*k + 55 = h, -k + 2*k - 23 = 4*h. Is 20 a factor of k?
False
Let i be 3/(1/(-2) - -2). Suppose -5*w - i*r + 0*r + 6 = 0, 3*r = 9. Does 5 divide 7 + (-1 - (w - 3))?
False
Suppose -2*l - 10 = -2*a, 22*l = 24*l + 5*a + 17. Is l/(1 + 1) + 5 + 85 a multiple of 5?
False
Let h = 476 - 836. Let l = -98 - h. Suppose 0 = -2*v + l + 292. Does 23 divide v?
False
Let t be (4/(-3))/(2/(-3)) - -6. Suppose 3*o - t = p, 3*p + 2 = -4*o + | {
"pile_set_name": "DM Mathematics"
} |
est to -32651 in -1, -0.1, 0.5, -2/5?
-1
What is the closest to -3 in 0.2, 1.26, -1, 3/7, -3/5?
-1
What is the closest to 2 in 0.0512, -3/4, 3/7, 1/5, 20?
3/7
What is the closest to -203 in 16/5, -5, -843/2, -2?
-5
Which is the closest to 134? (a) 241 (b) -6 (c) -3/7 (d) 0
a
Which is the closest to 2/7? (a) -6 (b) -55/3 (c) -9/109
c
What is the closest to 1/3 in -1/4, -194/29, -644?
-1/4
Which is the nearest to 4/5? (a) 4 (b) -35/2 (c) 1/5 (d) 3744
c
What is the closest to -2.4 in -3/10, 2/11, -0.17, 2?
-3/10
What is the closest to 2.29 in -0.1, 3, -4/3, 122/3, -3?
3
Which is the closest to -2/7? (a) 29.3 (b) 0.5 (c) 0.1 (d) 9 (e) 0.386
c
Which is the closest to 12868825? (a) -0.5 (b) -2 (c) 2/5
c
What is the closest to -1 in -0.1, 14.14, 1461, 2/5, -0.02, -5?
-0.1
Which is the closest to 158? (a) -5/4 (b) 45 (c) -327/2 (d) -0.1
b
What is the nearest to 2 in -5, -44, 9/118, 0.2?
0.2
Which is the closest to -10? (a) 0 (b) 2/25 (c) -1/290
c
Which is the nearest to -20? (a) -0.3 (b) 37 (c) -2/17 (d) -2/7 (e) -242 (f) 0
a
What is the closest to 1 in 0.37, 4, -38, 0.026?
0.37
What is the closest to -1/2 in -0.6, -1/87, -0.5, 63, -2, -1?
-0.5
What is the nearest to -6 in 1, -246, -1.7, -1/370?
-1.7
Which is the closest to -0.07? (a) -0.03 (b) 1/297 (c) 0.1 (d) 4.6
a
Which is the closest to 0.21? (a) 0.4 (b) 30 (c) -19 (d) -1 (e) 3
a
Which is the nearest to -3? (a) -0.28292 (b) 2/459 (c) 1
a
What is the nearest to 6.6 in 1/732, 5, 1/4, 0.35?
5
What is the closest to 3 in 55, 8, 19, -1/8, 0.03?
0.03
What is the closest to 1219.2 in 0.11, -1/5, -0.4, 4/3?
4/3
What is the nearest to -220 in -1, -5198, -1/4?
-1
Which is the closest to 7? (a) 0.1 (b) 6 (c) 4 (d) 2130
b
What is the closest to -2/3 in 1212/7, -4, 0, -24.5, -1/11, 2/17?
-1/11
What is the closest to -0.1 in 1, -789199, 2/5, 2/7, -3/7?
-3/7
What is the nearest to -1/3 in -1/7, 0.3, -14261/82?
-1/7
Which is the nearest to 1? (a) -1230/13 (b) -1 (c) -118
b
Which is the closest to 0.1? (a) -154 (b) -1/3 (c) 2/5 (d) -2/29 (e) -4/5
d
Which is the closest to -0.1? (a) 28 (b) -503 (c) -13 (d) 1/162
d
Which is the closest to 1/5628? (a) 0.2 (b) 1.5 (c) 3
a
Which is the closest to 4? (a) -12157/4 (b) -4/7 (c) -4 (d) 1
d
What is the nearest to 5975 in -0.02, -2/9, 4/7, 0.3?
4/7
Which is the closest to -1? (a) -3877 (b) -2 (c) -0.165 (d) 5/4 (e) -0.4 (f) 5
e
What is the closest to 0.05 in -1, -110, 0, 38, -0.24, -0.5?
0
What is the closest to 29296 in -1/11, -4, -3, 2/7, -5?
2/7
What is the closest to 0.6 in -218/5, -9, 0.1, 1, -4?
1
Which is the nearest to -0.037? (a) 6.0301 (b) -1 (c) 2/7 (d) 3 (e) -2
c
What is the nearest to -0.3 in -1771/2, -2/295, -0.1?
-0.1
What is the closest to -1/4 in -0.3, -1577, -5, -0.021, 1?
-0.3
What is the nearest to -2 in -15/2, -1/4, -4, 0.11, -87/4?
-1/4
Which is the closest to 237? (a) -120 (b) -3/4 (c) 0.3 (d) -5
c
What is the nearest to -0.3 in 0.1, 4, 3/4, -4/19891, 3?
-4/19891
What is the nearest to -2352 in -2/3, 0, 1/14, 2?
-2/3
Which is the nearest to -0.1? (a) -2/15 (b) 0.4 (c) 9 (d) -64
a
Which is the nearest to 58? (a) -12 (b) 0 (c) -3/7 (d) 2/11 (e) 10/11 (f) -0.05
e
What is the nearest to -462590 in -0.2, -3/4, 0.2, 0.5?
-3/4
Which is the closest to 294? (a) -0.2 (b) 259/9 (c) 0 (d) 2/3 (e) 1
b
Which is the closest to -1/5? (a) -0.2 (b) 3 (c) 5 (d) -335.98 (e) 1/9
a
Which is the closest to 2.3? (a) -4/9 (b) -1/4 (c) -339 (d) -2/5 (e) -1/2
b
What is the nearest to 7 in -5, 68808, 0.43?
0.43
Which is the closest to 0? (a) -4333 (b) -1762/3 (c) -0.4 (d) -1/2 (e) -1
c
What is the nearest to 7 in -1/53, -28, -4/7, -3.1?
-1/53
Which is the nearest to -11.69? (a) -7/5 (b) 1/2 (c) -4 (d) 2/3 (e) 3/7 (f) -10
f
Which is the closest to 45? (a) -1/13 (b) 0 (c) 3/8 (d) -0.5 (e) 22 (f) 1/3
e
What is the nearest to -0.1 in -0.4, -2/17, 3, -3482775, -1?
-2/17
Which is the closest to 1/3? (a) -3 (b) 0.4 (c) 0.12 (d) -65226 (e) -0.1
b
What is the nearest to 61345.5 in -0.01, 0.3, 0, 4?
4
What is the nearest to 29 in 30/29, -3, -2/5, 1/6, 0.001?
30/29
What is the closest to 3 in 1, 8/5, -10, -1/6, -447?
8/5
Which is the closest to 7? (a) -1 (b) -5/6 (c) -3/44717 (d) 0.105
d
What is the closest to -18 in -34926, -1, -4/7, -0.1?
-1
What is the nearest to 1/3 in 1, -0.056, 12685/3?
-0.056
What is the closest to -2/7 in -22, -4350, 0.5, -6?
0.5
Which is the nearest to 0.1? (a) -81 (b) -0.25962 (c) 1/2 (d) 2
b
What is the closest to 106507 in 16, 0, 3, 2/3, 2/9, 1/5?
16
What is the closest to 2/11 in 5, 2257, -1/784, 0.2?
0.2
Which is the nearest to 3? (a) -1/2 (b) 0 (c) -3/8 (d) -11 (e) -3/7
b
What is the nearest to -22/7 in -2216, 0.4, -4/245?
-4/245
Which is the closest to -108? (a) 5 (b) 1323 (c) -2/23 (d) 0.3 (e) -4/3
e
What is the closest to -6 in -0.06, -0.1, -0.5, 15345?
-0.5
Which is the nearest to -2308? (a) -3 (b) 0.5 (c) 25 (d) -11/3
d
Which is the nearest to 8? (a) -9/2 (b) -3 (c) -29 (d) -441
b
What is the closest to 4/87 in 5, 2/3, 11, -9/11?
2/3
Which is the nearest to -46605? (a) 18/5 (b) 1/2 (c) 8
b
What is the closest to 0.1 in 0, -2.485, -117, -0.4, 1?
0
What is the closest to -319/4 in 5, 2, 4/3, -4?
-4
What is the closest to 59 in -0.6, 34/59, -3/2?
34/59
Which is the nearest to 3.4? (a) 2 (b) 2/329 (c) 15 (d) 1 (e) -2/75 (f) -1
a
Which is the nearest to -0.2? (a) -2/81 (b) -4/9 (c) 8 (d) -0.5 (e) 30/43
a
What is the nearest to 0.4 in -1, 14, -0.08, -2/3, -2.9, 91?
-0.08
Which is the nearest to -138/31? (a) -4 (b) 2/11 (c) -0.4 (d) -27.25
a
What is the nearest to 8/9 in -7207, -3/4, -4?
-3/4
Which is the closest to -1/6? (a) 306 (b) -3/4 (c) 3 (d) -2/641 (e) 0.3
d
Which is the closest to 2/3? (a) 166.6 (b) 279 (c) -0.1
c
Which is the nearest to 7? (a) -27961 (b) -6/7 (c) 1 (d) -0.2 (e) -7 (f) -1
c
Which is the nearest to -0.0139? (a) -1/4 (b) 5 (c) 4 (d) -0.5 (e) 1/15 (f) -34
e
Which is the nearest to -1? (a) -5.26 (b) -0.009 (c) -63
b
Which is the closest to -0.1? (a) 590 (b) -3 (c) 3 (d) 5.1 (e) 0.4
e
Which is the closest to -1? (a) -0.4 (b) -172/183 (c) 803
b
What is the closest to 1 in 2/7, -4, -8/3, 19/22, -4/7?
19/22
Which is the nearest to 2? (a) 1.1 (b) -29091 (c) -2 (d) 3
a
What is the closest to -3/241 in 0.01, 0.6, -2/5, 5/159, 0.1?
0.01
Which is the nearest to -3/4? (a) -2/65 (b) 103 (c) -0.2
c
What is the closest to -15 in -0.16, 47, -1/3, -6/29?
-1/3
What is the closest to -9 in -2/3, 8, 11, 0.3, -13?
-13
Which is the closest to 0.03? (a) 0 (b) 5 (c) -0.05 (d) 2.157
a
Which is the nearest to -0.02? (a) 72/17 (b) 2/687 (c) 1 (d) 1/6
b
What is the nearest to -1/6 in 33, -2, 2, -9214?
-2
Which is the closest to 118? (a) 0.5 (b) -0.287 (c) 1.9 (d) -1/3
c
Which is the nearest to 0? (a) 18 (b) -0.5 (c) -8.1 (d) 3/4 (e) -2/9
e
Which is the nearest to 26? (a) -255.69 (b) -0.5 (c) 1
c
Which is the nearest to -0.1? (a) -0.13 (b) -4 (c) -1/5 (d) -462 (e) -9
a
Which is the closest to 2/5? (a) -4 (b) 0.13 (c) 36 (d) -759
b
What is the nearest to 168/23 in -5/4, -159, 1/6?
1/6
Which is the closest to 10/3? (a) 54 (b) 3/2 (c) -36 (d) -7/3 (e) 2/9
b
What is the closest to -0.1 in -5, 5, -2/73, 31/3, -158?
-2/73
What is the nearest to 0 in -129288, -3, -0.123?
-0.123
What is the nearest to 40 in -1/17, 0, 2/9, -0.2, 4/7?
4/7
Which is the nearest to 192? (a) 6/11 (b) 3 (c) 47 (d) -1
c
Which is the nearest to -4403? (a) 622 (b) -18/5 (c) 4
b
What is the nearest to -2 in 1/3, -7, 123.7, -0.7?
-0.7
Which is the closest to -1/36? (a) 1 (b) 21 (c) 100
a
Which is the closest to 2? (a) -904 (b) 241 (c) 0 (d) -1/9 (e) -0.2
c
Which is the nearest to -2/3? (a) -2 (b) -4 (c) 2 (d) -7 (e) -20272.3 (f) 1/11
f
Which is the nearest to 156? (a) 4/3 (b) 748 (c) 5/73
a
What is the closest to -4 in -7, 6, 11, -0.1, -2137?
-7
What is the closest to 14 in 38/1157, 1, 2/3, -2/5?
1
What is the nearest to 1 in 0.07, -2, 2.58, -8/23?
0.07
What is the nearest to 2/7 in -2/13, 1, 2/113, 5, -17/5?
2/113
What is the nearest to -1 in -2, 52, 15, 3/2, 5, 42?
-2
Which is the closest to -1/220? (a) 0.2 (b) 0.72 (c) -10.1 ( | {
"pile_set_name": "DM Mathematics"
} |
27401 (c) -1 (d) 3
c
What is the closest to -0.39 in 657, -4, 1?
1
Which is the closest to -8? (a) -1265 (b) 0 (c) -28 (d) 0.5
b
Which is the closest to -2/3? (a) -1/4 (b) 5 (c) -1.7114 (d) -0.5 (e) -4/5 (f) -3/7
e
What is the nearest to 2 in 0.4, -1/4, 57, 3/4, -0.1312, 1/3?
3/4
Which is the nearest to -1? (a) -2/21 (b) 3 (c) 6065 (d) 2 (e) -9 (f) 198
a
Which is the closest to 1/3? (a) 2/109 (b) 37 (c) 63 (d) -1
a
What is the nearest to 1/3 in -2.594, 0, 2/11, -66.7?
2/11
Which is the nearest to -90748? (a) 3 (b) -15 (c) -0.9
b
What is the closest to 1477 in -0.3, 4, 5, -3, 0.5, -9/4?
5
What is the nearest to -0.1 in -6429, -1/6, 2, -592?
-1/6
Which is the closest to -0.1? (a) 0 (b) -0.1 (c) 5/14 (d) 160 (e) -16/7
b
What is the closest to -0.7 in -3, -2, -96/7, -5/2?
-2
Which is the closest to 0.2? (a) 95591 (b) 2 (c) 0.4
c
Which is the nearest to 13? (a) 3 (b) -52.2 (c) -2 (d) 1/2
a
What is the closest to -0.2 in 6, 2/5, -2/37, -2362?
-2/37
What is the closest to 5 in 4, 24/47, 3/2?
4
Which is the closest to 1? (a) -1105859 (b) -9 (c) 1/3
c
What is the nearest to 0.2 in 0, 0.5, -9/2, -0.06788?
0
What is the closest to 2 in -3/5, -570.2, 2/5, 0, 16.7, -2/11?
2/5
What is the nearest to 66/13 in -15883/2, -0.15, -0.1, -1/5?
-0.1
Which is the closest to -0.05? (a) -2 (b) -4 (c) 0.3 (d) 6/779 (e) -1
d
What is the closest to -1 in -380, 1, 448, -2/3, 2?
-2/3
Which is the nearest to -1/3? (a) 0.3 (b) -0.1522 (c) 0.15 (d) -5 (e) -3 (f) -2
b
What is the nearest to 0.1 in -4, 5, 2/9, -1, 692, -641?
2/9
Which is the closest to 16? (a) 1 (b) 61 (c) 2/5 (d) -3 (e) -1195
a
Which is the nearest to -0.1? (a) -8662/5 (b) -8/7 (c) 11
b
Which is the closest to 1/4? (a) 1/45 (b) -4 (c) 0.93 (d) 9
a
Which is the nearest to 10/9? (a) -0.5 (b) 2.8 (c) 32084
a
What is the nearest to 2/169 in 0.09, 2, 118?
0.09
Which is the nearest to -0.0283? (a) 4 (b) -3/20 (c) 17 (d) 0 (e) -3
d
Which is the closest to -124? (a) -11/3 (b) 5 (c) -4 (d) 293
c
Which is the nearest to 0.1? (a) 214406 (b) 4/5 (c) 0.02
c
What is the closest to 1 in 1, 262, 3/4, -5/3, -5?
1
Which is the nearest to -0.03? (a) 0.3 (b) -160/9 (c) 1.1606 (d) -3
a
What is the nearest to -1/2 in 3, -24/25, -36, -49, -1, 0.3?
-24/25
Which is the closest to -2/5? (a) -42 (b) 3 (c) -5 (d) -10/13 (e) -2/31
e
Which is the nearest to -0.00371? (a) -0.4 (b) 0.1 (c) 0.7 (d) -2 (e) 0
e
What is the closest to -4 in -1715, -1/2, -348, 0.3, 2/11?
-1/2
What is the closest to 0.6 in 10, -0.4, 1015, 21?
-0.4
What is the closest to -1.4 in -5, 2.1, -2/75, -0.01, 2, -5/4?
-5/4
Which is the closest to 175? (a) -9 (b) -1/10 (c) 4 (d) 5/4 (e) 3/5
c
Which is the nearest to -2873? (a) 8.5 (b) 1/4 (c) 0.5 (d) -2 (e) 2/9
d
What is the nearest to -68987/2 in 3, -2/5, -4/3?
-4/3
Which is the nearest to 0.6? (a) -6 (b) -11 (c) 0 (d) -21.44
c
Which is the nearest to -0.2? (a) 140 (b) 2 (c) 21 (d) 0.009
d
Which is the nearest to -2? (a) -5 (b) 1/32 (c) -725.66
b
What is the nearest to -3 in 1, 0, -9, 2/3, 0.1405, -5?
-5
Which is the closest to 786? (a) 0.65 (b) 4 (c) 3 (d) 1
b
Which is the nearest to -2/3? (a) 0 (b) -11 (c) -1/419 (d) 4.62 (e) -3
c
Which is the nearest to -26? (a) -0.1 (b) -1/5 (c) -1743 (d) -25
d
What is the nearest to -22315/6 in -2, -276, 4?
-276
Which is the nearest to 4/5? (a) 0 (b) 47 (c) -172/67
a
What is the nearest to -96 in 20, 6, 33.6, 4, -4/5?
-4/5
What is the nearest to -1/4 in 0.01, 0, 148.4034?
0
What is the nearest to -22886 in 2/13, 12, 4/9?
2/13
What is the nearest to 526362 in 3/5, 3, -0.7, -0.5?
3
What is the closest to 3/2 in 2/7, -7, 67191, -1?
2/7
What is the closest to -1 in 0.2, -33, -0.143, 0, -3/2, 5?
-3/2
Which is the closest to -0.1? (a) -12 (b) 477 (c) 44 (d) -1
d
What is the nearest to -12.5 in 7/6, 3/7, 0.0127?
0.0127
What is the nearest to 616 in 0.3, -32/3, -169, -0.1?
0.3
What is the nearest to -0.1 in 26/1215, -2, 3, 4, 0.3, 0.2?
26/1215
Which is the nearest to -6? (a) 2013 (b) 689 (c) 2/9 (d) 0
d
What is the nearest to 0.2 in -12.79, 0.3, 1.3, -11, -0.2?
0.3
Which is the closest to -25? (a) -6 (b) 66 (c) 0 (d) -2 (e) 5
a
Which is the nearest to -0.021? (a) -0.07 (b) -0.4 (c) 3 (d) -2/21 (e) -3987
a
Which is the nearest to 1? (a) -530 (b) 2 (c) 3/34 (d) -0.08 (e) -2
c
Which is the nearest to 1? (a) -0.3 (b) 0.5 (c) 0.205 (d) 9.1
b
What is the nearest to -1.1 in -24.7, -1477, -1/2, 1/4, -3/7?
-1/2
Which is the nearest to 6/5? (a) 2/123433 (b) 57/7 (c) 1/7
c
What is the closest to -5/6 in 26883, -0.2, -4, 0.3?
-0.2
What is the closest to -0.053 in 5, 2/3, 0.4, -5, 55?
0.4
Which is the nearest to -1.77? (a) -25 (b) -7/4 (c) -2 (d) 0.099 (e) -0.3
b
Which is the closest to -1? (a) 0 (b) 3740772 (c) -0.2
c
What is the nearest to 0.215 in 64, 0.3, 3, -1, -329?
0.3
What is the closest to -362 in -8/271, 4, 5/2?
-8/271
Which is the nearest to 1/4? (a) 0.4 (b) -0.3 (c) 2/23 (d) 6 (e) -76688
a
Which is the closest to -1? (a) -0.265837 (b) -13 (c) 1/7
a
What is the nearest to -1/2 in -0.1, 16, 7698?
-0.1
What is the closest to 2/7 in -168, 62, -1/4, 8?
-1/4
Which is the closest to -2? (a) 0.4 (b) -2 (c) -0.8 (d) 1/3 (e) -5 (f) -137.22
b
Which is the nearest to -1/4? (a) -7934 (b) 1 (c) 2 (d) 1/16
d
Which is the closest to 10? (a) 17 (b) 2/9 (c) 0.038 (d) -0.4 (e) 1/10
a
Which is the closest to -1? (a) -17/25 (b) 2/5 (c) 5/7 (d) -7/5
a
Which is the closest to 7/24? (a) 4 (b) -6 (c) 243 (d) 3 (e) 5
d
What is the closest to -2/11 in -29, 0.14, -4, 675, 0, 1?
0
What is the nearest to -3 in -6023, -3/19, -0.4, 0.8?
-0.4
What is the closest to -1/7 in 8/9, 0.219164, -5/2?
0.219164
Which is the closest to 7.5? (a) 9 (b) 4 (c) 1/887
a
Which is the nearest to 0.4? (a) -3 (b) -77.08 (c) -120 (d) 2 (e) -1 (f) 0
f
Which is the closest to -0.2? (a) -0.9 (b) 14/33 (c) 5/6 (d) 0.4 (e) 5 (f) -14/5
d
What is the nearest to 0.06 in 5/3, -263, 79, -5, 2, -2/7?
-2/7
Which is the closest to 2? (a) -0.2 (b) 0.1 (c) -3 (d) 37526
b
Which is the closest to 58? (a) -18 (b) 0 (c) 3 (d) 5 (e) -3/992
d
Which is the nearest to -2/5? (a) -0.26 (b) -3/5 (c) -1/7 (d) 122 (e) -4
a
What is the closest to 9 in 1/31, -0.12, 5, 81?
5
What is the closest to -19 in 0.582, 2, -2/15, -3, 87?
-3
Which is the nearest to -1207/4? (a) 5 (b) -15/14 (c) 0 (d) -0.3 (e) -3/4 (f) -1
b
What is the nearest to -153 in -506, -4/3, 0.01?
-4/3
Which is the closest to 86? (a) 0.2 (b) -52/973 (c) 0.4
c
Which is the nearest to 2/21? (a) 11 (b) -1 (c) 1/5 (d) -4 (e) 3/17
e
What is the closest to -0.2 in -2.6, 0, 7419?
0
Which is the nearest to -39.6? (a) 2 (b) -208 (c) -1
c
Which is the nearest to 0.1? (a) -665 (b) 58 (c) -1
c
What is the closest to -54 in -2, 4213/5, -8?
-8
What is the nearest to -7 in 0.2, -1267, -4, 1, 11, 2?
-4
What is the nearest to 1 in 0.1, 1012, -397?
0.1
What is the closest to -9.7 in -11669, -1/4, 26?
-1/4
What is the closest to -0.1 in 19, 2/7, -1778.1?
2/7
Which is the nearest to -1? (a) 2 (b) -463/5271 (c) 4 (d) 0.5 (e) -4/5
e
Which is the nearest to 2/11? (a) -0.4 (b) -17/105 (c) 4
b
Which is the closest to 7? (a) -0.41 (b) 3713 (c) -1
a
Which is the closest to -1/3? (a) 11 (b) -5 (c) 2/17 (d) 1.04 (e) -3
c
What is the closest to 2/201 in 5, 8.2, 0.5, 0.2, 2/19, -11?
2/19
What is the nearest to -0.3 in -6, -81550, 5, 2/13?
2/13
What is the nearest to -2/25 in 4095, 8, 30?
8
What is the nearest to 0.1 in -0.2, -8/53, 136.5, 2/7, -1?
2/7
Which is the closest to 6/349? (a) -596 (b) 3 (c) 2/9
c
Which is the nearest to 1670/9? (a) -1/4 (b) 3 (c) 24 (d) -0.3 (e) -5 (f) 1.6
c
What is the closest to 1 in 47, -2, -2/13, -17/5?
-2/13
Which is the nearest to -2/7? (a) -9/5 (b) 1/13 (c) -0.3 (d) -0.0951 (e) -2/11
c
Which is the nearest to -32/3? (a) 1/58 (b) 2 (c) -75 (d) -0.2 (e) -1
e
What is the closest to -2065 in 5, 2/133, 2, 1/3, -1, -3?
-3
What is the closest to -25 in -2/19, 1/6, -3/4, 5/3, 51?
-3/4
Which is the nearest to 0.1? (a) -343/20 (b) -8 (c) -2/9 (d) -0.4 (e) -0.1
e
What is the closest to 8/11 in 1, -53/14, -1/14, 4, -1/6, -0.3?
1
Which | {
"pile_set_name": "DM Mathematics"
} |
ssuming t is positive.
t**(683/210)
Simplify ((g**(-10/9)/g)/g**(-3/7)*((g/g**9)/g)/g*(g/(((g*g**12)/g)/g*g))/g)**(-49) assuming g is positive.
g**(10444/9)
Simplify ((x**5/(x**(-1/30)*x))/(x**(2/19)*x)**(-6/11))**(-47) assuming x is positive.
x**(-1366243/6270)
Simplify ((n**19/(n/((n*n/(n/n**(-4)))/n)))/(n**(-28))**(-41/3))**41 assuming n is positive.
n**(-45346/3)
Simplify (((i*i**3)/i)/i**(2/9))**(-2/41)/(i**(9/4)/i**(-8))**29 assuming i is positive.
i**(-438941/1476)
Simplify (((v**(-1/5)*v*v**(-1/7))**(2/43))**4)**(-21) assuming v is positive.
v**(-552/215)
Simplify (h/(h/h**(3/5)*h))/(h/h**(-3/7))*h**5/((h/h**(-4))/h)*(h/(h**(2/7)/h)*h)**21/(h**(-2/7)*h/h**(-3)) assuming h is positive.
h**(1836/35)
Simplify ((z*z*(z**(11/3)/z)/z*z)/z**(-7))**(-31)/((z**0)**(-1/38)/(z**5*z*z**(-5)*z)) assuming z is positive.
z**(-1079/3)
Simplify ((z**1*z)/(z**5*z*z))**(-20)*(((z/(z*z*(z/z**7)/z*z))/z)/z**(2/9))**(-32) assuming z is positive.
z**(-188/9)
Simplify (z**(-4)*z**(-2/5))/(z*z**(-1)*z)**(-18)*((((z/(z/z**(-2/3)))/z)/z)/z**(-2/3))**40 assuming z is positive.
z**(-332/5)
Simplify ((x**(-2/13)*x*x)/x*x*(x**(-1/3)/x*x*x)/x*x*(x/x**(-5))/x**2)/(x*x*x*x**(-1/7)*x/(x*x**(-4/7)*x*x*x*x))**(27/2) assuming x is positive.
x**(3884/273)
Simplify (((z**(-2/5))**4*z/(z/((z**5/z)/z))*z*z**(-5)*z)**(-41))**(-1/43) assuming z is positive.
z**(-328/215)
Simplify (o*(o**7/o)/o*o*o*o*(o/(o/(o*o/o**(-3))))/o)**(-29/4)*(o*o**(-1/4)*o)**(-4/23)*o**4*o**(-1/11) assuming o is positive.
o**(-91733/1012)
Simplify (g**(1/4)/g**(-2/3))**(-4/5)/((g*g**(2/7))**(12/7)/(g**(-2/3)/g*g*g*g**(-1/6))) assuming g is positive.
g**(-4073/1470)
Simplify (((f**(2/15)/(f**(-6)/f))/((f**(1/5)*f)/(f/(f**(-5)*f*f))))**(7/4))**(-24/13) assuming f is positive.
f**(-2086/65)
Simplify (((t**(-1))**20/((t/((t**7*t)/t)*t)/t**(1/5)))**(-33))**37 assuming t is positive.
t**(90354/5)
Simplify (((l/l**(-2/7)*l)/l*l**(-25)*l*l*l)/(l/((l/(l*l*l/(l**14*l)))/l)*(l*l*l**(-24))/l))**(-34) assuming l is positive.
l**(-3162/7)
Simplify ((p**(5/3)/p*p*p**(1/3))/(p/(p*p**(-2)*p)*p)**(-2/39))**(-38) assuming p is positive.
p**(-3116/39)
Simplify ((u**(-2))**(1/3))**(-4/3)*(u**(1/2))**(-4/9)*u**(-3/2)/u*u*u*u**(-2/3) assuming u is positive.
1/sqrt(u)
Simplify (z*z*z**2*z**(-5)*z**(1/7)*z/z**(-3))/(((z/z**6)/z*z)/z**(-5)*(z**(1/3))**(-23/3)) assuming z is positive.
z**(359/63)
Simplify ((((g/(g*g*(g*(g/(g**6/g*g*g))/g)/g))**(-36))**21)**(-37))**(2/105) assuming g is positive.
g**(15984/5)
Simplify (r**(-3))**(-16)/((r**(-13)*r)/r)**(-1/33) assuming r is positive.
r**(1571/33)
Simplify (r**(1/9)*r**(-3/7))**17*((r/(r*(r/(r**(1/3)/r))/r))/r)**(-41)/(r**(-5)/(r*r**(-3/2))) assuming r is positive.
r**(8497/126)
Simplify ((d**7)**(2/49)*(d*d**6)/d*d*d*d**(11/2)/d)**(-6) assuming d is positive.
d**(-537/7)
Simplify (u**(-1/2)*u)**28/(u/u**4*u*u**(-7))*(u/u**(-2))**21/(((u*u/(u/(u**(2/13)/u)))/u)/(u/(u*u**(-8))*u*u)) assuming u is positive.
u**(1259/13)
Simplify (p**(2/13)/(p*p**(1/3)*p))**(-9)*(p**(2/3))**0/(p**1)**(2/61) assuming p is positive.
p**(15529/793)
Simplify ((g/(g/(g*g*g/g**(3/5))))/g**(3/4))**44*((g**2*g)**(-1/6))**7 assuming g is positive.
g**(691/10)
Simplify ((b/(b*b**(-2/7)/b)*b*b*b*b**(-4/7)/b)/((b/b**(2/3))/b)**39)/((b**(2/5))**(-12)/(b**(2/7)/b)**26) assuming b is positive.
b**(523/35)
Simplify (((((h**(2/3)/h)/h)/h*h**4*h)**(-26))**(-49))**(-10/9) assuming h is positive.
h**(-101920/27)
Simplify ((w**0*w)**(2/71)*(w/(w*(w**(-6)*w*w)/w*w))/w**(2/3))/(w**(-3)*w/w**(-4))**28 assuming w is positive.
w**(-11212/213)
Simplify (c*((c/c**(-3))/c)/c*c)/c**14*((c/(c*c*c**(-23)*c))/c*c)/c*c*c**10 assuming c is positive.
c**21
Simplify (((g*g**(-8)*g*g)/(g*g**(-7)/g*g*g))/((g*g**(-8/3))/(g*g*g*g*g/g**(-3/2))))/((g/((g/(g/(g**4*g)))/g)*g)/g*g/g**1)**(-1/8) assuming g is positive.
g**(187/24)
Simplify ((f/f**(1/4))**(-2/33))**(-20/3)*(f/(f**5/f)*f**1)/(f**(1/2)/f**(-1/6)) assuming f is positive.
f**(-26/11)
Simplify ((l**(-6)/l*l*l/(l**(6/7)/l)*(l/l**(-7))/l**9)**(2/27))**(-23) assuming l is positive.
l**(1886/189)
Simplify (((u/(u*u**(-5/2)))/u)**(4/13))**31/(u**(1/5)*u*u/u**(1/3)*u*u**(-8)*u/u**(-2/5)) assuming u is positive.
u**(3518/195)
Simplify (q**(-2))**(9/5)*(q/q**(-27))**7 assuming q is positive.
q**(962/5)
Simplify s/((s*s**(-3))/s)*s*s*s*s**(3/7)*s**(-6)/(s*s/s**1)*((s*s**(-2/3))**(9/10))**(-12) assuming s is positive.
s**(-111/35)
Simplify (y**(6/11))**(-37)/(y**(-1/8)*y*y/y**(-4/27)) assuming y is positive.
y**(-52759/2376)
Simplify ((d**22*d**(1/14))/(((d/(d*d**(-1/55)/d*d))/d)/(d*d**(1/11))))**(-40) assuming d is positive.
d**(-74364/77)
Simplify ((m*m/m**(-2/49)*m)/m*m/(m/(m**38/m))*(m**33)**(-47))**7 assuming m is positive.
m**(-74086/7)
Simplify ((h*h**(2/5))**(-14))**31*(h*h*h**(1/2)*h*h*h*h*h**1/h)/(h*h**(1/4))**(-1/39) assuming h is positive.
h**(-468833/780)
Simplify (((p**(1/3))**(-10)/(p*p/(((p**(2/3)*p)/p)/p))**(-48))**(-1/82))**(2/9) assuming p is positive.
p**(-326/1107)
Simplify (g**1*g**(5/4))/((g*g**9/g*g)/(g/g**(6/19))) assuming g is positive.
g**(-537/76)
Simplify (t*t**(-3)*t*t**6)**(-33)*(t/(t**0/t))**42*(t/(((t**(-7)*t)/t)/t))/(t/((t/(t*t**(-1/2)))/t)) assuming t is positive.
t**(-147/2)
Simplify ((c**1)**(-33))**(-38)*(c**0*c*c)**(19/3)*c*c**6*c*c**(2/13) assuming c is positive.
c**(49718/39)
Simplify s/(s*s/(s**7/s))*s/s**(3/4)*(s**(-1/4)/s)**(-10/17)*((s/s**(-1)*s)/s)**(-1/4)/((s**(-1)/s*s)/s**(3/4)) assuming s is positive.
s**(123/17)
Simplify ((v**(-1/2))**(-6/11)*(v**10*v)**38)**(-39) assuming v is positive.
v**(-179439/11)
Simplify ((h**(-9)/h)**33/(h**(-16/5)/h**14))**(-28) assuming h is positive.
h**(43792/5)
Simplify (((h**(6/5)*h**(-1))/(h**(-4))**26)**(-2/43))**(-6/13) assuming h is positive.
h**(6252/2795)
Simplify (z/((z*z**(-38))/z))**(-39)/((z*(z*z**(-8/7)/z)/z)/z)**(-20) assuming z is positive.
z**(-10947/7)
Simplify ((i*(i**(2/3)/i)/i)/i)**(-18)*((i/i**(1/7))/i)/i*i**(-7)*(i**(2/3))**33*(i**(-1/3))**(-2/27) assuming i is positive.
i**(21479/567)
Simplify ((q**2)**(3/4)*((((q**0*q)/q)/q)/q*q)/(q**(-5)/q))**(-15) assuming q is positive.
q**(-195/2)
Simplify (g/g**(-4/7)*g**(-2/11))/(g**(2/5)*g**(-1)*g)*(((g**(-2/5)/g)/g*g)**(-29))**38 assuming g is positive.
g**(594359/385)
Simplify (m**(1/3)/m**(1/9)*(m**(1/4)/m)**(1/79))/(m**(-6)/m*m*m/((m/(m/((m**(2/5)*m)/m))*m)/m)*(m**(2/3)/m)**0) assuming m is positive.
m**(79813/14220)
Simplify ((u**0)**(-8))**(-20/9)*u*u/(u/(u/(u/(u*u*u**0))))*u/(u**(-3/2)*u)*(u/(u/(u*u/(u*u**(2/9)*u)*u)))/u**(-1) assuming u is positive.
u**(113/18)
Simplify (j**(-5)*j/j**7*(j*j*((j*j/(j/j**7))/j*j*j)/j)/(j*j**(-2/11)*j*j))/((j**(-1))**16)**(-6/17) assuming j is positive.
j**(-1770/187)
Simplify ((y**(1/4)/y)**(-2/101))**(-12/7)/((y**(-1))**38)**(-2/15) assuming y is positive.
y**(-54002/10605)
Simplify (y**22*y**(-37)/y*(((y/((y/y**30)/y))/y)/y)/(y*y**2))**25 assuming y is positive.
y**250
Simplify ((y*y/y**2)**(-1/3))**(-6/13)/((y/(y*y**(-1/3)))**(-1/21))**(4/17) assuming y is positive.
y**(4/1071)
Simplify ((((p*(p/p**(-2/3))/p)/p*p)**21/(p*p**(-1/8)*p*p**(-6)))**(-30/7))**(1/35) assuming p is positive.
p**(-939/196)
Simplify (((y*y**6/y)/y)/y**(-1/2)*(y/y**0)/y*y**(2/15))/(y/(y*y**(-2))*y*y**(-6))**(1/10) assuming y is positive.
y**(89/15)
Simplify ((t*t*t/(t**0*t))/t)**(-17)*t**(-4/5)/(((t/t**(2/3))/t)/t)*(t*t/(t*t**(-1/3)*t*t))**(-44)*(t**(-1))**(-31) assuming t is positive.
t**(221/5)
Simplify ((u**5/u*u**(-4))/(u**2*u**(-2)*u))/((u**0*u)**(39/4)/((u**7/u*u)/((u/(u/(u*u**(-2)/u)*u))/u*u))) assuming u is positive.
u**(-3/4)
Simplify (((p/p**(-26))/p**(-1/23))**16)**(-5/7) assuming p is positive.
p**(-49760/161)
Simplify k/(k/((k*k**7*k*k)/k))*k**(2/9)*k*k*k**(2/7)/k*k/((k/k**1)/k)*(k**(-1))**(-49)*((k*k*k**(-4))/k)/k*k*k**3*k*k assuming k is positive.
k**(4001/63)
Simplify (s**(-4)/(s**(-1/40)/s))/(s**(2/31)*s/(s*s*s**(-2/71))) assuming s is positive.
s**(-182039/88040)
Simplify (o**7/(o*o**(-6/11)))**37/((o/(o*o*o**1))**(-12)/(o**(2/5))**10) assuming o is positive.
o**(2444/11)
Simplify (v/(v**5*v))/v**(-1/3)*(v*v**(2/7))**(-7)*(v/(v**(-1/2)/v*v))**(4/13)/((v/((v**(2/21)/v)/v))/v**(-3)) assuming v is positive.
v**(-1739/91)
Simplify ((o*o*o*(o/o**(1/3))/o)**(-3/17)/(o/(o/(o**10*o*o))*o*o**(-3/29)/o))**(-40) assuming o is po | {
"pile_set_name": "DM Mathematics"
} |
inder when 65 is divided by s.
1
Let y = 55 + -52. Suppose -4*u + 297 = 5*g, 0 = -y*u - 5*g + 214 + 15. Calculate the remainder when u is divided by 14.
12
Let r(k) = -k**2 - 5*k + 25. Let f(t) = -t**3 + t**2 + t + 9. Let y be f(3). Calculate the remainder when r(y) is divided by 8.
3
Let t = -781 + 833. Calculate the remainder when 55 is divided by t.
3
Suppose 3*r + 4*f = 103, 4*r - 10 = 2*f + 142. Calculate the remainder when 517 is divided by r.
36
Let t(d) = d**2 - 2*d + 19. Calculate the remainder when 32 is divided by t(0).
13
Let i = -972 - -989. Calculate the remainder when 338 is divided by i.
15
Let d(x) = x**2 + 7*x + 14. Calculate the remainder when 64 - (1 - (1 + 2)) is divided by d(-7).
10
Let u(i) = i**3 + 2*i**2 + 16*i + 2. What is the remainder when 172 is divided by u(0)?
0
Suppose -r - 5*i + 21 = -i, -4*i - 20 = 0. Let m = -6 + r. What is the remainder when m is divided by 19?
16
Let f be 3/(-9) - 8/(-6). Let x be (f - 4 - -4)*3. Let k = x + 8. What is the remainder when 30 is divided by k?
8
Let o(f) = -17*f + 499. What is the remainder when o(28) is divided by 6?
5
Let w = -377 - -576. What is the remainder when w is divided by 51?
46
Suppose 3*s - 984 = 4*p, p + 1640 = 5*s - 2*p. What is the remainder when s is divided by 55?
53
Suppose -2*t = -5*n + 313, -4*t = -2*n - 45 + 183. What is the remainder when n is divided by 27?
7
Let g = 34 - -88. Let v = g - 62. Suppose 2*h - 6*h = -v. Calculate the remainder when h is divided by 8.
7
Let z = 30 - -40. What is the remainder when z is divided by 22?
4
What is the remainder when ((-246)/(-8))/((-3)/(-4)) is divided by 13?
2
Let c = -5 - -39. Suppose 0 = -8*n + c + 14. What is the remainder when 7 is divided by (-3)/n*-2 - -5?
1
Suppose 0 = 23*a - 20*a - 378. What is the remainder when a is divided by 4?
2
Let w(y) = -y**2 + 10*y - 9. Let t be w(6). Let q(s) = t*s - 8*s + 0 + 4 - 9*s. Calculate the remainder when 27 is divided by q(-3).
7
Let k = -14 + 26. Suppose -16*a + 148 = -k*a. Calculate the remainder when a is divided by (1/4)/(6/312).
11
Suppose 103*p = 100*p + 498. What is the remainder when p is divided by 59?
48
Suppose -2*c + 12 = -0*c. Let p = -7 - -41. Suppose -2*r - c = -p. Calculate the remainder when r is divided by 8.
6
Let s(h) = -15. Let b(i) = i - 44. Let z(n) = 3*b(n) - 8*s(n). Calculate the remainder when (36 - 2)*1 - 1 is divided by z(7).
6
Let p = 164 + -93. Suppose -11 = 3*s - 26. Suppose 63 = 3*f + f - 3*c, -s*f = 3*c - 99. What is the remainder when p is divided by f?
17
Let l(h) = -h**3 + 9*h**2 + 17*h - 111. Calculate the remainder when 404 is divided by l(7).
86
What is the remainder when (19/95)/((-2)/(-4610)) is divided by 11?
10
Suppose 145*t - 217*t = -1872. Calculate the remainder when 856 is divided by t.
24
What is the remainder when 4/(-4)*1*(2 + -5) is divided by 2?
1
Suppose 0 = -3*o - 2*f + 127 - 53, -o - f + 26 = 0. Calculate the remainder when 36 is divided by o.
14
Suppose 3*l = 7*b - 2*b + 115, 3*l - 3*b - 105 = 0. What is the remainder when 99 is divided by l?
9
Suppose 0*w + 2*w = -10, -w = u - 85. Suppose -5*c - u = -3*h, -4*h = -h + 2*c - 69. Calculate the remainder when h is divided by 7.
4
Let w = 12 + -13. Let u be ((-1)/(-2))/(w/(-12)). Let y = u + 2. What is the remainder when y is divided by 2?
0
Suppose 4*c - 40 = -c. Calculate the remainder when c is divided by (3/5)/((-2)/(-10)).
2
Let s = -5 - -5. Suppose 5*z - 3*h = 208, s*z - 5*h + 77 = 2*z. Let d = 89 - z. Calculate the remainder when d is divided by 10.
8
Suppose 5920 = 78*d + 130*d + 1968. What is the remainder when 4/(-10) + (-434)/(-10) is divided by d?
5
Let g(d) = 6*d**2 - 5*d - 5. Calculate the remainder when g(-2) is divided by 27.
2
Let p = 118 + -96. Calculate the remainder when 57 is divided by p.
13
Calculate the remainder when 76/(-304) + 322/8 is divided by 18.
4
Suppose -4 = g + 12. Let a be (-24)/g + 89/2. Suppose -2*b + 0 + a = 0. Calculate the remainder when 43 is divided by b.
20
Let u(i) = i**3 + 2. Let f = 6 + -6. Let d be u(f). Suppose -2*z = j - 4*j - 19, -d*j = -2*z + 20. What is the remainder when 30 is divided by z?
8
Let p = 102 + -101. Calculate the remainder when 61 is divided by 4/(-6) + p + 248/12.
19
Let y(s) = s. Let z(c) = 11. Let g(u) = -3*y(u) - z(u). Suppose j + k - 10 + 1 = 0, -5*j = -2*k - 17. What is the remainder when g(-10) is divided by j?
4
Let v = 1 + 6. What is the remainder when 97 is divided by v?
6
Suppose -45*n + 15*n + 330 = 0. What is the remainder when 185 is divided by n?
9
Let w = 400 - 335. Let y(g) = -6*g - 9. Calculate the remainder when w is divided by y(-7).
32
Let j = -8 + 232. What is the remainder when j is divided by 15?
14
Let i(m) = -1 + m**3 - 5*m**2 + 2 + 8*m - 6*m**2 - 2*m**3. Let p = 0 - 12. Calculate the remainder when i(p) is divided by 17.
15
Let l = -22 + 1. Let m = -15 - l. Let s(i) = -i**3 + 7*i**2 - i + 7. What is the remainder when s(m) is divided by 13?
11
Suppose 5*y = 2*k + 789, y + 11*k - 15*k - 165 = 0. What is the remainder when y is divided by 5?
2
Suppose 0 = -6*v - v + 2884. What is the remainder when v is divided by 59?
58
Let u = -282 + 291. What is the remainder when 15 is divided by u?
6
Let t(y) be the second derivative of 2*y**3/3 - 2*y. Suppose 5*w = -10, 5*z + 2*w + 1 = 52. Calculate the remainder when t(5) is divided by z.
9
Suppose v - d = 37, -4*v + 6*d = 10*d - 156. Calculate the remainder when 1937 is divided by v.
37
Let z = 94 + -87. Suppose y = -y + 40. Calculate the remainder when y is divided by z.
6
Let a = -1583 - -1593. Calculate the remainder when 287 is divided by a.
7
Suppose -50 - 5098 = -9*m. Calculate the remainder when m is divided by 14.
12
Suppose 3*v = 4*v - 75. Let p = v - 37. Let q = p + 5. Calculate the remainder when q is divided by 22.
21
Suppose 0 = -5*r + 3*f - 140, 3*r + 3*f = -r - 139. Let h = r + 48. What is the remainder when h is divided by 7?
3
Let v(m) = 2*m**3 - 11*m**2 + 13*m. Calculate the remainder when v(6) is divided by 15.
9
Let z = -745 - -772. What is the remainder when z is divided by 10?
7
Suppose 5*c - 4*o - 77 = 0, 0 = 3*c + 2*o - 30 - 3. Suppose 20 = -3*k + 8*k. Suppose k*r = 202 - 50. Calculate the remainder when r is divided by c.
12
Suppose -25 = -2*y - 3. Let b = 2538 - 2499. What is the remainder when b is divided by y?
6
Suppose 3*i - 139 = -4*f, 2*i + 24 = 4*f + 150. What is the remainder when i is divided by 3?
2
Let p(a) = 3*a**2 + 73*a + 221. Let f = 4 - -20. Suppose 5*k - f = 31. What is the remainder when p(-3) is divided by k?
7
Let s(y) = -5*y + 8. Let q be s(4). Let x be (3 - q/(-3))*-2. Suppose -9 = 3*m - 0, -5*m - 43 = -x*o. Calculate the remainder when o is divided by 4.
2
Suppose -33 = -d - 2*d. Suppose 244 = g - 66. Suppose 2*x + 8*x - g = 0. What is the remainder when x is divided by d?
9
Let b = -39 + 46. Suppose -20 - 36 = -b*z. What is the remainder when 28 is divided by z?
4
Suppose 236 = 27*w - 25*w + x, -x - 364 = -3*w. What is the remainder when w is divided by 116?
4
Suppose a + 5*c - 25 = 4*c, 5*a = 2*c + 118. Calculate the remainder when 1*-3*(-9 + 7 - a) is divided by 16.
14
Let u = 158 + -132. What is the remainder when u is divided by 15?
11
Let m = -20 - -20. Suppose -3*c + 33 = -m*c. Calculate the remainder when -30*(3 - 13/3) is divided by c.
7
Let u(l) = -l**3 - 25*l**2 + 23*l - 32. What is the remainder when 225 is divided by u(-26)?
41
Suppose 0 = -463*r + 462*r + 98. Calculate the remainder when r is divided by 11.
10
Suppose -2*u + 11 = -3*d - 0, 4*u - 19 = 5*d. Suppose 2*t + 35 = 5*f - 2*t, 5*f - t = 20. Let q = f + -2. What is the remainder when q is divided by u?
0
Let c(m) = -m**3 - 5*m**2 - 3*m + 2. Let v be c(-3). Let j(h) = -h. Calculate the remainder when (18/27)/((-4)/(-114)) is divided by j(v).
5
Let w(j) = -j + 14. Calculate the remainder when (2 - 1)/(27/23760*16) is divided by w(0).
13
Suppose -3*l = -10 + 4. Suppose -5*v = -l*v - 9. Suppose v*s - 7*s + 88 = 4*k, -k - 73 = -4*s. Calculate the remainder when 75 is divided by s.
18
Let c(w) = 110*w**2 + 11*w + 20. Calculate the remainder when c(-2) is divided by 26.
22
Let q(s) = 12*s**2 + 3*s - 1. Let d be (4 + -1)/(9/78). Let i = -12 + d. Calculate the remainder when q(2) is divided by i.
11
Suppose -4*z + 4*g + | {
"pile_set_name": "DM Mathematics"
} |
- 136 - 12 = 5*z, -i = 2*z + 37 for i.
5
Solve -2*z - 24 = -5*q, -177997*z - 9 = -177996*z - q for z.
-7
Solve 0*o = -5*o - y - 162, -11*o - 132 = -6*o - o + 2*y for o.
-32
Solve -w - 3*z = 66, -2*w - 265*z = -269*z - 78 for w.
-3
Solve 37*z = 42*z + 5*l - 65, 8*z - 87 = -z - 0*z + l for z.
10
Solve 3*a + 4*d + d = -98, 19*d + 110 = -22*d + 36*d for a.
4
Solve 0 = -3*v + z - 4*z - 39, -4*z - 389 = -167 - 178 for v.
-2
Solve -4*l + 302 = -2*i + 7*i + 38, -4*l - 15 = -i + 33 for i.
52
Solve 7*i = 2*f + 34, -i + 790 - 1564 + 788 = 2*f for f.
4
Solve 14270 - 14273 = v - k, 19 = 3*v + 11*k for v.
-1
Solve 84*x = 88*x - 3*o + 7, 3*o + 17 = -20*x for x.
-1
Solve 7*j + 17*j - 26*j = -2*l + 212, 7*l + 32*j - 898 = 0 for l.
110
Solve -h + 22 = 3*n - 0*h, -1375*n - 14*h + 144 = -2745*n + 1371*n for n.
4
Solve -3*s = 8*b + 12*b - 51 - 38, 6*s - 32 = -5*b + 6 for b.
4
Solve 2*y - 71*j + 25*j + 27*j = -24*j - 26, j = 4*y + 30 for y.
-8
Solve 4*b - 4*y + 44 = 0, -1162*y + 1160*y = -13*b - 132 for b.
-10
Solve 2475*u = 9*k + 2477*u + 42, -16*u + 18*u = -6 for k.
-4
Solve 370361*d - 370357*d - 48 = s, -s = 2*d - 30 for s.
4
Solve -6*h = 3*b - 159, -446*b = -447*b + 3 for h.
25
Solve -8*i + 2096760*s - 2096755*s + 5 = 0, 3*i + 5*s = -5 for i.
0
Solve 2*s + g + 39 = 34, 9*g - g - 3*g = g - 12 for s.
-1
Solve -586*s + 14 = -588*s - 4*v - 5 - 9, -49 = 7*v for s.
0
Solve -175 = -5*h + 5*d, -105*h + 35*d - 15*d - 251 = -106*h - 51*d for h.
38
Solve 6*l + 2*u - 4 = l, -32687*l + 32684*l = 10*u - 20 for l.
0
Solve 3*x - 15*z - 5*z - 2*z + 609 = 0, 70 - 1 = -3*x + 2*z for x.
-5
Solve 14 + 21 - 19 = -h + 3*v, 3*h - 3*v = -60 for h.
-22
Solve 98*g = -5*h + 180*g - 86*g, -5*h + 2*g = 30 for h.
-4
Solve -2*s + 1 = n, -18*n = -162*s + 160*s + 8*n + 28 for s.
1
Solve 80 = -5*z - 26*p + 21*p, 0*z - 38 = 3*z + 8*p for z.
-18
Solve -16 = -4*g + 278835*w - 278831*w, 18*g = -5*w + 49 for g.
3
Solve 2*o - 9 = 3*r, o = -11*r + 28*r - 18*r - 3*o - 17 for r.
-5
Solve -55*n + 6*l + 923 = 126*n, 5*n = -125*l + 121*l + 13 for n.
5
Solve -4*j = -4*l + 40, -1373503*j - 3*l + 35 = -1373507*j for j.
-5
Solve 0*f - k = f - 2187 + 2196, 0 = -3*f + 3*k + 27 for f.
0
Solve -2*p - 51*o + 77 + 30 + 51 = 0, 3*o = 10 + 2 for p.
-23
Solve -294 = -n - 3*b - 126 - 117, 2*b - 34 = n for n.
0
Solve 99 = 17*g - 4*d, 1159*d = 5*g + 1155*d - 15 - 0 for g.
7
Solve -3*d = 4*a + 121, 257*d + 258*d = 5*a + 517*d + 69 for a.
5
Solve -13*u = -5*f + 102, -140*u - 6 = -f - 141*u for f.
10
Solve 3*u + 97 = -4*v, 23 = -11*u + 10*u - v for u.
5
Solve -124*s = 2*t - 126*s + 50, 11*t - 28 = 12*s - 308 for t.
-20
Solve -29*b + 28*b = 4*f - 179, 12*f - 28*f + 208 = -4*b - 11*f for b.
3
Solve 3*i = -0*i - 4*k - 21, -k - 21 = -168*i + 171*i for i.
-7
Solve -5*z + 2570 = 2555, 4*w + 11 = 17*z for w.
10
Solve 199*x + 3387 = 4*u, -3*u + 6968 = 5*x + 7050 for x.
-17
Solve -2*j - 4*k = 18, -2*k - 2493 = 26*j - 2209 for j.
-11
Solve -8*d - 10*h = -6*h + 24, 6 = 2*d - 12*h + 10*h for d.
-1
Solve -4*l = -4*x + 28, 31 = -162*l + 149*l + 7*x for l.
3
Solve 0*x + 2*x + z + 17 = 0, 4*x + 1202*z + 13499 = 6*x + 227*z - 3076 for x.
0
Solve -64*u + 182*q + 723 = -32*u - 27*u, 5*u + 9 = -q for u.
-1
Solve -254*x - 2 = -256*x + 6*o, -2*x + 2*o - 16 = 2*x for x.
-5
Solve 8*s + 11*h + 87 = s + 6*h, 4*s - 69*h + 71*h = -48 for s.
-11
Solve -90 = -401256*s + 401252*s + 3*v, s - 2*v - 29 = 2*v - 0*v for s.
21
Solve 3*k = -3, -6*k + k - 5*k + 3*k = h + 10 for h.
-3
Solve -12*u = -3*n + 210, 7 = -122*n + 117*n - u for n.
2
Solve -13*w - c + 69 = -9*w - 6*c, 6*c - 2*c + 52 = 0 for w.
1
Solve -5*t + 13 = 3*y, -8480*t - 962 = -8476*t - 86*y for t.
-4
Solve 4*x + 6 = -4*y + 62, -y - 5*x + 91 = -4*y - x for y.
-5
Solve -q + 1936*c - 624*c + 1238 = 3883, -5*c + 52 = -2*q for q.
-21
Solve -9 = -15*j + 14*j + 4*s, -3*s = j + 12 for j.
-3
Solve -3*p + 26 = -2*k - 9*p, -3*k + 48*p = 43*p - 3 for k.
-4
Solve -16*y - 18*y + g + 3 = -33*y, 3*g - 3 = -y for y.
3
Solve 2*h + y + 19 = 0, 12*h + 22*y + 74 = 11*h + 43*y for h.
-11
Solve 3*j + 41*b - 13*b = -0*j + 24, 0 = -4*j + 3*b + 32 for j.
8
Solve -t + 6*t - t - 5*r = -172, 2*t + 35*r = 28*r - 86 for t.
-43
Solve -40 = -3*a - 4*r, -7 - 92 = -16*a - 5*r for a.
4
Solve 33 = 2*t - 5*l - 34 + 57, 0 = 3*t + 5*l + 35 for t.
-5
Solve 0 = -5*a + 4 + 21, 12 = 32*x - 39*x + 5*a + 8 for x.
3
Solve -64512*d = -n - 64508*d + 16, 0 = 3*n + 5*d + 4*d + 36 for n.
0
Solve -k + 3*k = -5*v + 2 + 29, 13*k = -11*v + 6 + 52 + 36 for v.
5
Solve 4*p - 4*w = 12, 47*p - 16*p + 36*w + 74 = 14*p + 19*p for p.
1
Solve 2*d = 3*z - 2*z, 975*d - 16 = 3*z + 977*d for z.
-4
Solve 4*o - 937 + 799 = 2*c, 4*c + 382*o + 148 = 386*o for c.
-5
Solve 5*o = -2*z + 3, 17*z = -4*o + 1132 - 914 for z.
14
Solve -5*k - 5282 = -5277, 14*k + 9 = -m for m.
5
Solve -3024*a + 6056*a = 3031*a + 5, -24 = o - 3*a for o.
-9
Solve 3*i = -g + 17, -2607 + 2676 = 5*g + 11*i for g.
5
Solve -4*b - 5*c + 95 = 0, 31*c - 3*c - 45*c = 3*c - 380 for b.
0
Solve -3*d + 448 = -89*y, -13 = 2*y + 156*d - 159*d for y.
-5
Solve 16900*m - 19 = -4*x + 16905*m, 5*x - m = 29 for x.
6
Solve 5*v = -14*u + 2*v + 174 - 73, 0 = u + 4*v - 11 for u.
7
Solve v + 4*v - 4*k = -83 + 42, 5*v - 2*k - 29 = 8*v for v.
-9
Solve 4*m - 13*l + 16 = -11*l - 26, -6*m - 15 = 2*l + 23 for m.
-8
Solve 5*i - 5 = -4*g - 0 + 7, 6*i - 1029 = -4*g - 1017 for i.
0
Solve 7*w = h + 3*w, -2*w = 640609*h - 640614*h + 54 for h.
12
Solve 17*f + 4*p = 20*f - 98, -5*f = -17*p - 184 for f.
30
Solve -13422*h + 13420*h - 4*k + 42 = 0, 0 = 8*h + 4*h + 5*k - 62 for h.
1
Solve -3*d = 2*o - 58, -15*d + 20*d + 22*o - 13*o - 91 = 0 for d.
20
Solve -964*h - 17 = -961*h - i, -5*i + 74 = -4*h for h.
-1
Solve -16079*r = -16082*r + 3*h - 12, -r = 2*h - 2 for r.
-2
Solve -22*z - 2*m = -1 + 3, 0 = z - 4*m - 5 + 1 for z.
0
Solve 22 = -5*v - 5*t + 37, -74*v + 0*t - 3*t = 275 for v.
-4
Solve -13035*q + 13039*q + 32 = -4*j, -2*q - 26 = 3*j - 5 for q.
-3
Solve 11*l = 4*j + 12*l + 5, 1308*j - 4*l = 1309*j - 10 for j.
-2
Solve -3*x = -12, r + 22*x = -0*r - 18*x + 44*x + 23 + 52 for r.
91
Solve -143*r - 1019*s = -1021*s - 2482 + 619, 0 = -4*r - 4*s + 44 for r.
13
Solve 3*l - 4*u + 29 = 0, -227*l - 87 = -229*l - 7*u for l.
5
Solve -200 = -3*r - 10*o + 4, 7*r + 2*o = 8*r + 44 for r.
-2
Solve 0*w + 5*w = u + 134, 6*w - 251967*u - 153 = -251958*u for w.
27
Solve 1255*h - 1259*h + 6*p - 6 = 0, 7 = -7*p for h.
-3
Solve 9*n - 2 = 5*z - 3*z + 12, 0*z - 3*z = -3*n for n.
2
Solve -61 = -2*t - 15*r + 34, -35 = -5*r for t.
-5
Solve -3*n + 67 = -2*i, 0 = -5*i + 11779*n - 11790*n + 295 for i.
4
Solve 2*p + 30*z - 268 = 0, p - 2*z - z - 11839 = -p - 11868 for p.
-1
Solve 0 = -5*v + 18*c + 17 + 37, -3*v - 2*c - 24 = -7*v + 44 for v.
18
Solve -d - 2*c = d - 36 - 52, -2*d + 29*c - 1183 = 0 for d.
3
Solve o - 39 = 7*x, -283*o + 286*o = -5*x - 13 for o.
4
Solve 4*f = 3*z + 63, -4*f - 11*f + 113 = 49*z - 53*z for z.
-17
Solve -4*g - 55 = -3*r, -r - 247881*g - 38 = -247878*g for r.
1
Solve 3*h = -3*j, 0 = -8351*h + 8342*h + 4*j + 26 for h.
2
Solve 986229 = 2*f - 4*g + 986135, -5*f = 9*g - 216 for f.
45
Solve -4*n + 3*c = 25, -2*n - 939 = 31*c - 894 for n.
-7
Solve 5*f + 2 = -i + f + 25*f, -4*i = -4*f + 8 for i.
-2
Solve -3*f + 223 = -172*c + 83*c + 93*c - 168, 0 = 9*f - 3*c + 237 for f.
5
Solve 0 = -3*g - 2861 + 2870, -5*g + 55 = -5*q for q.
-8
Solve -5*z - 30 = 3*d - 2*z, 284*d + 3*z = 1253*d + 1914 for d.
-2
Solve 12501*t - 12488*t + m + 44 = 0, -3*t = -4*m - 11 for t.
-3
Solve -3*d - 7*k = -0*d - 212, -k + 1940 = -2*d + 1900 for d.
-4
Solve 3*a = -2*s - 6, s - 3*a - 9 = -10 + 3 + 4 for s.
0
Solve 3*n - 20598*k = -20601*k + 57, -5*k = n - 83 for n.
3
Solve 40 = 2*n + 2*n - 2*n - 7*l, 0 = -2*n - 7*l + 4*l - 20 for n.
-1
Solve -4*l - 48*f - 641 = -501, 0 = l + 4*f + 27 for l.
-23
Solve -c + 257*u - 3343 = 0, 0*u + 8 = u - 2 - 3 for c.
-2
Solve -67*p + 41 = 13*q - 62*p - 90, 10*q - 3*p = 6*q + 4 for q.
7
Solve -10*r - 2*a - 23423 = -23351, -39 = 3*r + 2*a + 68 for r.
5
Solve 35*n - 1185 = 5*t, -6*n + 116 = 4*t - 14 - 78 for n.
34
Solve -8*m - h = -9*m - 0*h + 32, 10*h = -3*m - 307 for m.
1
Solve -32*t - 3*j = -146, -7871*t + 3938*t + 5*j = -3935*t + 38 for t.
4
Solve 0 = -4*z - 2*i + 212 + 222, -3*z = 6*i + 37 - 119 - 248 for z.
108
Solve 7*l + 6*w - 138 = 3*w, -9 | {
"pile_set_name": "DM Mathematics"
} |
+ 60*l**2 + 5*l - 60.
-5*(l - 12)*(l - 1)*(l + 1)
Find v such that -v**2/3 - 62*v - 2883 = 0.
-93
Determine v, given that -v**3/7 - 1039*v**2/7 - 2074*v/7 = 0.
-1037, -2, 0
Factor 3*k**2 + 309*k + 4386.
3*(k + 17)*(k + 86)
Solve 2*x**2/9 + 166*x/9 = 0.
-83, 0
What is o in -5*o**4 - 260*o**3 - 750*o**2 - 740*o - 245 = 0?
-49, -1
Suppose -70*m**5 - 155*m**4 + 250*m**3 + 200*m**2 - 180*m - 45 = 0. What is m?
-3, -1, -3/14, 1
Suppose 2*v**5/3 - 32*v**4/3 - 10*v**3/3 + 160*v**2/3 + 8*v/3 - 128/3 = 0. What is v?
-2, -1, 1, 2, 16
Let -3*l**4 + 63*l**3 - 297*l**2 - 363*l = 0. What is l?
-1, 0, 11
Solve -n**4 + 28*n**3 - 222*n**2 + 364*n - 169 = 0 for n.
1, 13
Suppose a**3/4 + 11*a**2/4 - 3*a = 0. Calculate a.
-12, 0, 1
Find m, given that m**3/9 - 16*m**2/9 + 5*m/3 = 0.
0, 1, 15
Find q such that q**2/4 + 9*q/4 - 63 = 0.
-21, 12
Suppose j**2 + 10292*j + 26481316 = 0. What is j?
-5146
Solve 4*z**2 - 64*z + 192 = 0.
4, 12
Factor -2*b**4/7 + 40*b**3/7 - 200*b**2/7.
-2*b**2*(b - 10)**2/7
Suppose -10*v**4 + 185*v**3 - 650*v**2 - 1640*v + 960 = 0. What is v?
-2, 1/2, 8, 12
Solve 3*l**3/2 + 117*l**2 + 2160*l - 4800 = 0.
-40, 2
Let 15*k**5 - 174*k**4 + 78*k**3 + 1428*k**2 + 1851*k + 690 = 0. What is k?
-1, 23/5, 10
Factor 11*z**2/8 + 183*z/8 - 17/2.
(z + 17)*(11*z - 4)/8
Determine l so that 5*l**3/3 - 5630*l**2/3 = 0.
0, 1126
Factor 4*r**2/7 - 132*r/7.
4*r*(r - 33)/7
Solve -2*h**3 + 42*h**2 - 40*h = 0.
0, 1, 20
Suppose 15*b**2 + 8425*b - 2810 = 0. What is b?
-562, 1/3
Find k such that 4*k**3 + 156*k**2 + 1596*k + 1444 = 0.
-19, -1
Factor 2*p**4/5 + 6*p**3/5 + 4*p**2/5.
2*p**2*(p + 1)*(p + 2)/5
Factor -4*o**2/3 - 200*o/3 + 1856/3.
-4*(o - 8)*(o + 58)/3
Determine q, given that -q**4/7 - 11*q**3/7 - 3*q**2/7 + 29*q + 28 = 0.
-7, -1, 4
Find w, given that -64*w**3/7 - 6176*w**2 - 21604*w/7 - 2700/7 = 0.
-675, -1/4
Suppose 4*q**5 + 48*q**4 - 60*q**3 - 1112*q**2 + 3312*q - 2592 = 0. Calculate q.
-9, 2
Let -2*n**3 + 10*n**2 + 44*n + 32 = 0. Calculate n.
-2, -1, 8
Factor k**2/3 - 55*k/3 + 18.
(k - 54)*(k - 1)/3
Factor -2*i**2 + 24*i/5 - 8/5.
-2*(i - 2)*(5*i - 2)/5
Find z, given that 2*z**4 - 14*z**3 + 10*z**2 + 14*z - 12 = 0.
-1, 1, 6
Factor 19*o**3/10 - 56*o**2/5 - 29*o/2 - 7/5.
(o - 7)*(o + 1)*(19*o + 2)/10
Solve 3*m**5 + 207*m**4 + 1350*m**3 + 3012*m**2 + 2232*m = 0.
-62, -3, -2, 0
Suppose -d**3/2 - 5*d**2 - 9*d/2 = 0. What is d?
-9, -1, 0
Factor 3*f**5 + 129*f**4 + 246*f**3 - 6*f**2 - 249*f - 123.
3*(f - 1)*(f + 1)**3*(f + 41)
Factor -i**5 - 16*i**4 + 143*i**3 - 394*i**2 + 452*i - 184.
-(i - 2)**3*(i - 1)*(i + 23)
Factor i**3/3 + 4*i**2/3 + i/3 - 2.
(i - 1)*(i + 2)*(i + 3)/3
Factor 5*x**3 - 130*x**2 + 460*x - 440.
5*(x - 22)*(x - 2)**2
Factor -b**3 - 27*b**2 - 146*b - 120.
-(b + 1)*(b + 6)*(b + 20)
Solve 3*y**5 + 4*y**4 - 17*y**3 - 6*y**2 = 0 for y.
-3, -1/3, 0, 2
Solve m**2 + 94*m = 0 for m.
-94, 0
Factor 2*h**3/13 + 76*h**2/13 - 6*h.
2*h*(h - 1)*(h + 39)/13
Suppose n**2 + 2710*n + 1836025 = 0. What is n?
-1355
Let -f**2/4 - 343*f/4 - 255 = 0. Calculate f.
-340, -3
Factor -a**3 + 64*a.
-a*(a - 8)*(a + 8)
Factor f**3/3 - 11*f**2 + 10*f + 64/3.
(f - 32)*(f - 2)*(f + 1)/3
Let -3*d**3 + 27*d**2 - 69*d + 45 = 0. Calculate d.
1, 3, 5
What is j in 4*j**3 + 616*j**2 + 2416*j + 2400 = 0?
-150, -2
Factor 2*s**2/19 - 2*s/19 - 544/19.
2*(s - 17)*(s + 16)/19
Factor 2*q**2/5 + 44*q/5 - 208/5.
2*(q - 4)*(q + 26)/5
Determine u so that -4*u**2 - 300*u + 3784 = 0.
-86, 11
Let -2*w**4 - 32*w**3 + 44*w**2 + 176*w + 102 = 0. Calculate w.
-17, -1, 3
Factor 4*d**5 + 32*d**4/5 + 12*d**3/5.
4*d**3*(d + 1)*(5*d + 3)/5
Solve -2*f**3/9 - 8*f**2/9 + 178*f/9 - 56/3 = 0.
-12, 1, 7
Factor -4*q**3/5 - 1016*q**2/5 - 404*q - 1008/5.
-4*(q + 1)**2*(q + 252)/5
Solve z**2 - 63*z + 180 = 0 for z.
3, 60
Let 4*v**2 + 5712*v + 2039184 = 0. What is v?
-714
Solve 2*i**5/5 + 4*i**4/5 - 8*i**3/5 - 4*i**2/5 + 6*i/5 = 0.
-3, -1, 0, 1
Find w, given that -w**2/3 + 14*w = 0.
0, 42
Factor m**4/7 - 11*m**3/7 + 33*m**2/7 - 37*m/7 + 2.
(m - 7)*(m - 2)*(m - 1)**2/7
Factor 2*o**3/3 - 70*o**2/3 + 64*o.
2*o*(o - 32)*(o - 3)/3
Suppose -t**3/3 + 2*t**2/3 + 559*t/3 + 4732/3 = 0. Calculate t.
-13, 28
Factor -h**4/7 + 10*h**3/7 - 3*h**2 - 40*h/7 + 100/7.
-(h - 5)**2*(h - 2)*(h + 2)/7
Factor a**2/8 + 141*a/4 + 19881/8.
(a + 141)**2/8
Suppose 2*y**5/5 - 6*y**3 - 4*y**2 + 48*y/5 = 0. Calculate y.
-3, -2, 0, 1, 4
Let 6*g**4 + 87*g**3 - 747*g**2 + 1485*g - 567 = 0. Calculate g.
-21, 1/2, 3
What is f in 32*f**2/5 - 20*f + 12/5 = 0?
1/8, 3
Factor 4*l**5 - 68*l**4 + 360*l**3 - 712*l**2 + 596*l - 180.
4*(l - 9)*(l - 5)*(l - 1)**3
Let 3*l**5/2 + 737*l**4/2 + 481*l**3/2 - 2217*l**2/2 - 1472*l - 490 = 0. What is l?
-245, -1, -2/3, 2
Factor 2*l**5 - 46*l**4 - 150*l**3 - 154*l**2 - 52*l.
2*l*(l - 26)*(l + 1)**3
Factor g**3/3 + 11*g**2/3 - 4*g.
g*(g - 1)*(g + 12)/3
Suppose -h**3/2 - 49*h**2/2 - 312*h - 288 = 0. Calculate h.
-24, -1
Factor -2*b**3/11 + 4*b**2/11.
-2*b**2*(b - 2)/11
Factor j**2/7 + 548*j/7 + 75076/7.
(j + 274)**2/7
Factor 15*a**3 + 6*a**2.
3*a**2*(5*a + 2)
Factor 4*d**3 - 4052*d**2 + 1036224*d - 5080320.
4*(d - 504)**2*(d - 5)
Factor 3*r**2 - 129*r - 132.
3*(r - 44)*(r + 1)
Determine i so that 16*i**2 + 5816*i + 528529 = 0.
-727/4
Let 3*s**2 + 5499*s = 0. Calculate s.
-1833, 0
Factor -3*s**4/4 + 9*s**2/2 - 6*s + 9/4.
-3*(s - 1)**3*(s + 3)/4
Solve 4*v**3 + 10*v**2 - 8*v - 24 = 0 for v.
-2, 3/2
What is a in -3*a**3/5 - 162*a**2/5 - 63*a - 156/5 = 0?
-52, -1
Factor -4*l**3/5 + 36*l/5.
-4*l*(l - 3)*(l + 3)/5
Suppose -p**2/11 + 153*p/11 - 302/11 = 0. What is p?
2, 151
Determine a, given that 2*a**3 - 26*a**2 - 2*a + 26 = 0.
-1, 1, 13
Factor -n**3/5 - 64*n**2/5 - 1024*n/5.
-n*(n + 32)**2/5
Suppose 120*k**5 - 250*k**4 + 15*k**3 + 10*k**2 = 0. What is k?
-1/6, 0, 1/4, 2
Suppose -2*a**5 + 2*a**4 + 82*a**3 + 214*a**2 + 200*a + 64 = 0. Calculate a.
-4, -1, 8
Factor 2*v**2 + 7120*v + 6336800.
2*(v + 1780)**2
Determine v, given that v**3 - 4*v**2 + 3*v = 0.
0, 1, 3
Solve -24*o**4 - 22*o**3 + 4*o**2 + 2*o = 0 for o.
-1, -1/4, 0, 1/3
Factor 5*w**4 + 50*w**3 + 40*w**2 - 50*w - 45.
5*(w - 1)*(w + 1)**2*(w + 9)
Factor -2*u**4/5 - 94*u**3/5 - 54*u**2 - 266*u/5 - 88/5.
-2*(u + 1)**3*(u + 44)/5
Find r, given that 75*r**2/2 - 153*r + 12 = 0.
2/25, 4
Factor 2*i**5/3 - 2*i**4 - 10*i**3 - 34*i**2/3 - 4*i.
2*i*(i - 6)*(i + 1)**3/3
Determine f, given that -27*f**2 - 111*f - 84 = 0.
-28/9, -1
Determine b so that -4*b**4 + 112*b**3 + 12*b**2 - 328*b - 224 = 0.
-1, 2, 28
Solve 3*l**3/8 + 219*l**2/4 - 2757*l/8 - 399 = 0.
-152, -1, 7
Find x, given that -3*x**2 + 1410*x - 165675 = 0.
235
Factor 4*w**3 + 1066*w**2 + 2644*w + 1056.
2*(w + 2)*(w + 264)*(2*w + 1)
Solve -3*s**3 - 99*s**2 - 360*s - 348 = 0.
-29, -2
Factor -2*p**2/3 + 86*p/3.
-2*p*(p - 43)/3
Let 2*v**4 + 102*v**3 - 692*v**2 - 408*v + 2736 = 0. What is v?
-57, -2, 2, 6
Solve -2*k**4 + 18*k**3 - 52*k**2 + 48*k = 0.
0, 2, 3, 4
Solve 4*g**4/7 + 44*g**3/7 + 92*g**2/7 - 44*g/7 - 96/7 = 0.
-8, -3, -1, 1
Determine m so that -45*m**5 + 305*m**4 - 425*m**3 - 425*m**2 + 470*m + 120 = 0.
-1, -2/9, 1, 3, 4
Solve l**5/8 - 61*l**4/8 + 449*l**3/4 + 511*l**2/4 - 899*l/8 - 961/8 = 0 for l.
-1, 1, 31
What is i in -2*i**4 - 10*i**3 + 22*i**2 + 66*i + 36 = 0?
-6, -1, 3
Solve z**3 - 26*z**2 + 169*z = 0 for z.
0, 13
Factor 4*o**3 - 39516*o**2 + 130126188*o - 142835179028.
4*(o - 3293)**3
Factor 3*s**2/5 + 216*s/5 + 3888/5.
3*(s + 36)**2/5
Find s, given that 4*s**5 + 52*s**4 + 156*s**3 + 108*s**2 = 0.
-9, -3, -1, 0
Factor -2*g**2/3 - 176*g - 11616.
-2*(g + 132)**2/3
Find k such that -25*k**4/2 + 235*k**3/2 - 345*k**2 + 320*k - 80 = 0.
2/5, 1, 4
Find o such that 4*o**5 + 20*o**4 - 52*o**3 + 28*o**2 = 0.
-7, 0, 1
Suppose -3*r**3/2 + 42*r**2 + 3*r/2 - 42 = 0. What is r?
-1, 1, 28
Solve x**4/4 + 19*x**3 - 79*x**2/4 - 77*x/2 = 0 for x.
-77, -1, 0, 2
Determine w so that 2*w**3/5 + 34*w**2/5 + 38*w + 70 = 0.
-7, -5
Let 100*r**4 + 1680*r**3 + 1296*r**2 + 256*r = 0. What is r?
-16, -2/5, 0
What is o in -2*o**2 - 1218*o + 3672 = 0?
-612, 3
Factor -3*z**2/2 + 1420*z - 946.
-(z - 946)*(3*z - 2)/2
Suppose -2*a**5 - 8*a**4 + 12*a**3 + 8*a**2 - 10*a = 0. Calculate a.
-5, -1, 0, 1
Solve -21*a**2/5 - 22*a/5 - 1/5 = 0.
-1, -1/21
Factor -4*m**3 - 132*m**2 + 280*m.
-4*m*(m - 2)*(m + 35)
Let -7*q**5/5 + 9*q**4/5 + 3*q**3/5 - q**2 = 0. Cal | {
"pile_set_name": "DM Mathematics"
} |
lions digit of 3102060516?
0
What is the hundreds digit of 2347220331?
3
What is the thousands digit of 2651839650?
9
What is the tens digit of 3110048429?
2
What is the thousands digit of 3800426228?
6
What is the hundreds digit of 68257656?
6
What is the millions digit of 5333365277?
3
What is the tens digit of 1614545242?
4
What is the ten millions digit of 151479502?
5
What is the millions digit of 45655066?
5
What is the hundred millions digit of 2539970302?
5
What is the hundred thousands digit of 2772355828?
3
What is the hundred millions digit of 206968154?
2
What is the ten millions digit of 246155089?
4
What is the tens digit of 14677447?
4
What is the thousands digit of 7687080?
7
What is the hundreds digit of 45236783?
7
What is the billions digit of 1677454270?
1
What is the ten millions digit of 97643145?
9
What is the ten millions digit of 66564499?
6
What is the thousands digit of 105145577?
5
What is the units digit of 119624271?
1
What is the thousands digit of 60029283?
9
What is the ten millions digit of 339728343?
3
What is the hundreds digit of 45695716?
7
What is the hundreds digit of 27299791?
7
What is the ten millions digit of 28060348?
2
What is the ten millions digit of 1195430727?
9
What is the thousands digit of 61764557?
4
What is the ten thousands digit of 1131309098?
0
What is the hundred thousands digit of 170901855?
9
What is the thousands digit of 6593108590?
8
What is the hundreds digit of 724956624?
6
What is the hundred millions digit of 282384107?
2
What is the ten millions digit of 65305463?
6
What is the ten thousands digit of 152561280?
6
What is the thousands digit of 925663467?
3
What is the ten millions digit of 1083798160?
8
What is the hundred thousands digit of 1550149521?
1
What is the ten millions digit of 1176816466?
7
What is the thousands digit of 360463111?
3
What is the hundreds digit of 244025983?
9
What is the ten thousands digit of 92101146?
0
What is the tens digit of 6977618297?
9
What is the hundreds digit of 16406662?
6
What is the thousands digit of 275988497?
8
What is the tens digit of 625851418?
1
What is the tens digit of 79335244?
4
What is the ten millions digit of 98234563?
9
What is the ten millions digit of 10357477?
1
What is the ten thousands digit of 277458697?
5
What is the hundreds digit of 21311614?
6
What is the hundred thousands digit of 17064071?
0
What is the ten thousands digit of 4711733087?
3
What is the hundred thousands digit of 51687790?
6
What is the units digit of 92884054?
4
What is the hundreds digit of 82670108?
1
What is the hundred thousands digit of 469377537?
3
What is the units digit of 294487212?
2
What is the tens digit of 122840230?
3
What is the hundred thousands digit of 77628854?
6
What is the hundred millions digit of 105059510?
1
What is the hundred millions digit of 6276652860?
2
What is the thousands digit of 131823623?
3
What is the hundred millions digit of 3323942150?
3
What is the thousands digit of 3319425499?
5
What is the hundred thousands digit of 6647077736?
0
What is the hundred thousands digit of 36987822?
9
What is the units digit of 443476921?
1
What is the hundred millions digit of 1765094454?
7
What is the ten millions digit of 423491351?
2
What is the units digit of 155438524?
4
What is the hundreds digit of 20139298?
2
What is the hundred thousands digit of 4997906434?
9
What is the billions digit of 2357812489?
2
What is the hundred millions digit of 126965802?
1
What is the units digit of 292700614?
4
What is the hundreds digit of 40935234?
2
What is the hundreds digit of 1027627302?
3
What is the units digit of 3101070492?
2
What is the hundred thousands digit of 51080871?
0
What is the ten thousands digit of 259751728?
5
What is the thousands digit of 135905022?
5
What is the hundred millions digit of 5779792564?
7
What is the hundred millions digit of 226723246?
2
What is the units digit of 2591298636?
6
What is the units digit of 441109229?
9
What is the hundreds digit of 35194578?
5
What is the thousands digit of 57808152?
8
What is the ten thousands digit of 245356823?
5
What is the ten thousands digit of 23654117?
5
What is the ten thousands digit of 1489374098?
7
What is the hundreds digit of 2854205583?
5
What is the ten thousands digit of 26988983?
8
What is the hundred thousands digit of 62546331?
5
What is the ten thousands digit of 5606289632?
8
What is the units digit of 235749120?
0
What is the thousands digit of 17668568?
8
What is the hundreds digit of 1296805430?
4
What is the ten millions digit of 91676229?
9
What is the tens digit of 23187768?
6
What is the hundreds digit of 30167347?
3
What is the hundred millions digit of 323653532?
3
What is the units digit of 74765950?
0
What is the hundred thousands digit of 3476723?
4
What is the ten thousands digit of 16143630?
4
What is the units digit of 219651911?
1
What is the thousands digit of 1032333679?
3
What is the ten thousands digit of 130979352?
7
What is the ten thousands digit of 46434361?
3
What is the hundreds digit of 164540371?
3
What is the ten thousands digit of 53784939?
8
What is the hundred thousands digit of 272766624?
7
What is the millions digit of 1206638216?
6
What is the millions digit of 3090932134?
0
What is the hundred thousands digit of 498914190?
9
What is the tens digit of 47349999?
9
What is the ten millions digit of 43961216?
4
What is the millions digit of 1185703626?
5
What is the thousands digit of 64513555?
3
What is the tens digit of 10386622?
2
What is the units digit of 240716815?
5
What is the ten thousands digit of 177757399?
5
What is the thousands digit of 74708182?
8
What is the millions digit of 316978285?
6
What is the billions digit of 3552928143?
3
What is the tens digit of 201570876?
7
What is the tens digit of 257306386?
8
What is the tens digit of 113159626?
2
What is the ten thousands digit of 85924704?
2
What is the units digit of 16172423?
3
What is the units digit of 21298133?
3
What is the hundreds digit of 661289857?
8
What is the ten thousands digit of 698585689?
8
What is the hundreds digit of 39774745?
7
What is the tens digit of 50770304?
0
What is the ten millions digit of 20977719?
2
What is the billions digit of 4271792188?
4
What is the units digit of 48259738?
8
What is the units digit of 143926770?
0
What is the billions digit of 1531922811?
1
What is the hundred millions digit of 1943773578?
9
What is the thousands digit of 299730460?
0
What is the units digit of 597905118?
8
What is the ten millions digit of 1682423282?
8
What is the hundreds digit of 103654448?
4
What is the tens digit of 24952972?
7
What is the ten millions digit of 269576168?
6
What is the ten thousands digit of 14970261?
7
What is the tens digit of 449860229?
2
What is the hundred thousands digit of 459420136?
4
What is the hundred thousands digit of 1299867899?
8
What is the millions digit of 109304526?
9
What is the ten thousands digit of 2837798?
3
What is the thousands digit of 3992824805?
4
What is the units digit of 2508420192?
2
What is the thousands digit of 576751718?
1
What is the thousands digit of 57628550?
8
What is the units digit of 16880362?
2
What is the ten thousands digit of 1317030548?
3
What is the millions digit of 86339531?
6
What is the tens digit of 127888294?
9
What is the hundred thousands digit of 3584412343?
4
What is the ten thousands digit of 8303717?
0
What is the thousands digit of 61501543?
1
What is the thousands digit of 102103948?
3
What is the thousands digit of 358864855?
4
What is the thousands digit of 677813987?
3
What is the ten millions digit of 552747353?
5
What is the ten thousands digit of 67460829?
6
What is the billions digit of 2800134047?
2
What is the hundred thousands digit of 545145350?
1
What is the ten thousands digit of 101753479?
5
What is the units digit of 1153485940?
0
What is the hundred millions digit of 1264638288?
2
What is the billions digit of 2269691060?
2
What is the ten thousands digit of 156407340?
0
What is the ten thousands digit of 40049229?
4
What is the hundred thousands digit of 2162712070?
7
What is the ten millions digit of 396818280?
9
What is the ten millions digit of 21080790?
2
What is the hundred millions digit of 1311289434?
| {
"pile_set_name": "DM Mathematics"
} |
251287 to five decimal places.
-0.03125
Round 3156.578 to zero dps.
3157
Round 0.0000691662 to 5 dps.
0.00007
What is 155496780 rounded to the nearest one million?
155000000
What is -7328.93 rounded to the nearest 1000?
-7000
What is -102129.53 rounded to the nearest one hundred?
-102100
Round -0.000100982 to four dps.
-0.0001
Round -0.000107212705 to 6 dps.
-0.000107
What is 0.000022812144 rounded to six decimal places?
0.000023
What is -0.000005894657 rounded to 7 dps?
-0.0000059
What is -0.0002831482 rounded to 6 dps?
-0.000283
Round 0.000005236552 to seven decimal places.
0.0000052
What is -185123700 rounded to the nearest 1000000?
-185000000
What is -0.06971923 rounded to 2 decimal places?
-0.07
Round -12621.0801 to the nearest 1000.
-13000
Round -27.799 to the nearest integer.
-28
Round -0.09280946 to 4 dps.
-0.0928
Round 1.0274222 to 2 decimal places.
1.03
What is 0.006937755 rounded to six decimal places?
0.006938
What is 64205190 rounded to the nearest one hundred thousand?
64200000
Round 0.104255 to 3 dps.
0.104
Round 746.1829 to the nearest one hundred.
700
Round -29707.71 to the nearest one thousand.
-30000
Round 443826.8 to the nearest 10000.
440000
What is -5869560 rounded to the nearest 10000?
-5870000
Round -5684.322 to 0 dps.
-5684
What is -0.00000209608 rounded to seven decimal places?
-0.0000021
What is -0.000162392 rounded to five dps?
-0.00016
Round -0.0005207793 to 6 decimal places.
-0.000521
Round 79674.9 to the nearest ten thousand.
80000
What is 45.98321 rounded to 2 decimal places?
45.98
What is 1067.0225 rounded to the nearest one hundred?
1100
What is -0.123322116 rounded to four dps?
-0.1233
Round -1298.328 to the nearest 10.
-1300
What is 0.05110683 rounded to two decimal places?
0.05
Round -0.665139 to two decimal places.
-0.67
What is -22962040 rounded to the nearest one hundred thousand?
-23000000
Round 0.0030883059 to 4 decimal places.
0.0031
What is -0.0002298063 rounded to six dps?
-0.00023
Round -69712 to the nearest 100.
-69700
What is 1.49963 rounded to 1 dp?
1.5
What is -0.0005022962 rounded to 5 dps?
-0.0005
Round 0.00003875281 to seven dps.
0.0000388
Round 11339600 to the nearest one million.
11000000
What is -3920834 rounded to the nearest 10000?
-3920000
Round -12.356912 to one decimal place.
-12.4
Round -1.149392 to 3 dps.
-1.149
What is -9065.77 rounded to the nearest 100?
-9100
What is 0.0000008741729 rounded to seven decimal places?
0.0000009
What is 3.9372 rounded to the nearest integer?
4
Round 0.01517043 to 3 decimal places.
0.015
What is -356.69 rounded to the nearest integer?
-357
What is 1476736 rounded to the nearest one hundred thousand?
1500000
Round -4985767.5 to the nearest ten thousand.
-4990000
What is -37125200 rounded to the nearest 1000000?
-37000000
What is 97.5663 rounded to zero dps?
98
Round -76974 to the nearest 100.
-77000
What is 410747.37 rounded to the nearest 100000?
400000
What is -2208.1171 rounded to the nearest 1000?
-2000
Round -0.01230448 to five dps.
-0.0123
Round -0.002797973 to 6 decimal places.
-0.002798
What is -0.0301229 rounded to 2 decimal places?
-0.03
What is 0.00006663878 rounded to six decimal places?
0.000067
Round 22345300 to the nearest one million.
22000000
What is -2706.613 rounded to the nearest 10?
-2710
Round -0.0000261795 to six dps.
-0.000026
Round -0.0004941204 to four decimal places.
-0.0005
What is 13.24019 rounded to 1 decimal place?
13.2
What is -14973410 rounded to the nearest one hundred thousand?
-15000000
What is -6.13478 rounded to zero dps?
-6
What is 100927850 rounded to the nearest one million?
101000000
Round -26.1072 to the nearest integer.
-26
Round 0.00000952313 to 6 dps.
0.00001
What is 329014.1 rounded to the nearest 100000?
300000
What is 10.1784 rounded to two dps?
10.18
Round -0.00004806515 to five decimal places.
-0.00005
Round -26.0041 to 2 dps.
-26
What is 0.069342948 rounded to three dps?
0.069
Round -0.0008754445 to four decimal places.
-0.0009
What is -0.3939971 rounded to four dps?
-0.394
Round 24.593 to the nearest integer.
25
What is 125509200 rounded to the nearest one hundred thousand?
125500000
Round 53309.59 to the nearest one thousand.
53000
Round -29844.1 to the nearest 1000.
-30000
Round 0.00175356 to five decimal places.
0.00175
What is 547.5941 rounded to the nearest ten?
550
What is -15968.63 rounded to the nearest 1000?
-16000
What is 0.0007357224 rounded to 6 dps?
0.000736
What is -0.0033251 rounded to 4 decimal places?
-0.0033
What is -287.9336 rounded to the nearest ten?
-290
Round 1580430 to the nearest 1000000.
2000000
Round -10159.82 to the nearest 100.
-10200
Round -590496.26 to the nearest 10000.
-590000
What is -216126.83 rounded to the nearest ten thousand?
-220000
What is -0.0010068435 rounded to 6 dps?
-0.001007
What is -17532707 rounded to the nearest 10000?
-17530000
What is 914984.3 rounded to the nearest one hundred?
915000
What is -84.88618 rounded to the nearest ten?
-80
Round -151.577 to the nearest ten.
-150
What is -1551.876 rounded to the nearest 100?
-1600
What is -17611.276 rounded to zero dps?
-17611
Round -0.122334 to one dp.
-0.1
What is 390.527 rounded to the nearest integer?
391
Round 0.0248038 to four decimal places.
0.0248
Round -385849000 to the nearest one million.
-386000000
What is -6483350 rounded to the nearest one million?
-6000000
Round 0.5782035 to two decimal places.
0.58
What is 126980.2 rounded to the nearest one hundred?
127000
What is -3962870 rounded to the nearest one million?
-4000000
Round -4.65789 to one decimal place.
-4.7
What is 36460910 rounded to the nearest 100000?
36500000
Round 0.01805099 to 3 dps.
0.018
What is 448.805 rounded to the nearest ten?
450
What is 2788.25 rounded to the nearest ten?
2790
What is 20114700 rounded to the nearest 10000?
20110000
Round 3069.2611 to the nearest ten.
3070
Round -8.011567 to 2 decimal places.
-8.01
Round 1117798.1 to the nearest ten thousand.
1120000
Round 10.73919 to two dps.
10.74
Round -20.30812 to 1 dp.
-20.3
Round -0.0577432 to 4 decimal places.
-0.0577
What is 0.0000003057513 rounded to 7 dps?
0.0000003
Round 320010 to the nearest one hundred thousand.
300000
Round -534387000 to the nearest 1000000.
-534000000
Round 1.5201592 to three decimal places.
1.52
Round -0.000560118 to 4 dps.
-0.0006
What is 26635.67 rounded to the nearest 1000?
27000
What is 4.45263 rounded to 2 dps?
4.45
What is -54.067118 rounded to 2 dps?
-54.07
Round -0.00000047937 to five decimal places.
0
Round -635300000 to the nearest one million.
-635000000
What is 254332.4 rounded to the nearest 1000?
254000
What is 0.0065934 rounded to 3 dps?
0.007
What is -293903 rounded to the nearest ten thousand?
-290000
What is 0.00003029961 rounded to seven decimal places?
0.0000303
What is 0.0412555 rounded to two dps?
0.04
Round 837528.9 to the nearest 1000.
838000
Round 9107623 to the nearest one hundred thousand.
9100000
Round -1.99889 to 2 decimal places.
-2
What is 53301500 rounded to the nearest one hundred thousand?
53300000
What is -0.2715389 rounded to 1 decimal place?
-0.3
Round 0.01347485 to 5 decimal places.
0.01347
What is -0.1619789 rounded to three dps?
-0.162
What is 0.0000044554544 rounded to seven decimal places?
0.0000045
Round -92621340 to the nearest one hundred thousand.
-92600000
Round -20010.91 to the nearest 10000.
-20000
Round 319505 to the nearest one hundred thousand.
300000
Round 6.434189 to zero dps.
6
What is 0.0000584986 rounded to four dps?
0.0001
Round 12396786 to the nearest one hundred thousand.
12400000
Round -1415.95 to the nearest one hundred.
-1400
Round 0.0010625629 to five decimal places.
0.00106
Round -0.000735497 to six decimal places.
-0.000735
What is 0.00005775153 rounded to five decimal places?
0.00006
Round -54528 to the nearest one hundred thousand.
-100000
Round -1206390 to the nearest one hundred thousand.
-1200000
What is -143093600 rounded to the nearest 1000000?
-143000000
What is -1085992 rounded to the nearest 10000?
-1090000
What is 87909000 rounded to the nearest 1000000?
88000000
Round 6.693499 to zero dps.
7
What is 0.01134041 rounded to 5 decimal places?
0.01134
What is 0.00076271 rounded to 5 dps?
0.00076
Round 7840.8664 to the nearest 10.
7840
What is 11053740 rounded to th | {
"pile_set_name": "DM Mathematics"
} |
). List the prime factors of k(-4).
2, 3
Suppose 2*l + 1 = 5*g + 29, -8 = -g - 3*l. List the prime factors of -3 + -2 + (-152)/g.
3, 11
Suppose 5*m - 27 = 18. Suppose 4*s = -5*y + 45 + 82, -3*y = -m. What are the prime factors of s?
2, 7
List the prime factors of 3 + (-2 - 1) - -242.
2, 11
Let z be (-2 - -1)/(2/74). Let n = z + 61. Suppose v = 3*v - n. List the prime factors of v.
2, 3
Let d(a) = -a**2 + a. Let w be d(1). Suppose 0 = -w*x - 3*x + 420. List the prime factors of x/18 + (-4)/(-18).
2
Let g = -95 - -311. List the prime factors of g.
2, 3
List the prime factors of (5/(-10))/(((-5)/(-162))/(-5)).
3
Suppose -2*g - 2*c - 2 = 0, 2 = 5*g - 5*c + 7. Let w be g - 1*2*-2. Suppose 32 = 2*x + 4*n, w*x - x - 34 = -5*n. What are the prime factors of x?
2, 3
What are the prime factors of ((-130)/3)/((-4)/18)?
3, 5, 13
Suppose -4*u - 12 = 0, 5*k = -3*u - 19 - 0. List the prime factors of ((-16)/12 - k)*15.
2, 5
Suppose 3*b = b + 4*d - 26, -4*b - 3*d = 8. Let f(q) = -q**3 - 4*q**2 + 2*q + 2. What are the prime factors of f(b)?
17
Suppose -92 = 4*o - 0*o. Let x = o + 39. What are the prime factors of x?
2
Suppose -2 + 72 = 5*n. List the prime factors of n.
2, 7
Let c = -63 + 68. What are the prime factors of c?
5
Let u be (-3)/1 + (-11)/(-1). Let a = -3 + u. Suppose 4*b + a*n - 15 = 0, 5*b - 35 + 5 = 5*n. What are the prime factors of b?
5
Let c = 20 - 18. Suppose d - 2*p = 6*d - 152, c*p = -4*d + 120. What are the prime factors of d?
2
Let l(k) = -8*k - 74. What are the prime factors of l(-17)?
2, 31
Let s(i) = -5*i**3 - 4*i**2 - i - 3. What are the prime factors of s(-3)?
3, 11
List the prime factors of ((-2)/(-3))/(6/1557).
173
Let n(f) = f**2 - 4*f - 6. Suppose -9 = -p - 3. Let i be n(p). Suppose -i*a = -2*o - a + 27, -3*o = -3*a - 27. List the prime factors of o.
2, 3
Suppose -5*o + l + 0*l = -143, -4*o - 3*l = -103. Suppose 2*h = v + o, -3*h - 5*v - 56 = -7*h. List the prime factors of h.
2, 7
Let i = 271 - 104. List the prime factors of i.
167
Let r = 0 + 0. Suppose 2*w + 4*z = -7 + 47, 0 = 3*w - 4*z - 40. Suppose r = 3*g - w - 14. What are the prime factors of g?
2, 5
What are the prime factors of (-5 + -4 + -103)/(4/(-14))?
2, 7
Let n(r) = r + 2. Let d(f) = -2*f - 5. Let l(s) = -6*d(s) - 13*n(s). List the prime factors of l(-11).
3, 5
Let n(q) = -q**2 + 2*q. Let g be n(2). Suppose -5*b + 15 = -g*b, 3*v - 3*b - 66 = 0. What are the prime factors of v?
5
List the prime factors of (-4)/((-16)/12) + 59.
2, 31
Suppose 6*d = d. Let o(h) = h + 19. List the prime factors of o(d).
19
Suppose 8*j - 3*j = 665. What are the prime factors of j?
7, 19
Let z(h) = 3*h - 4*h - 2*h - 6 + 5*h. What are the prime factors of z(5)?
2
Let o be 1 + -2 + (1 - 0). Suppose u - 2*h + 7 = 2*u, o = 2*u + 2*h - 22. Let y = u + -9. List the prime factors of y.
2, 3
Let k = -34 - -97. List the prime factors of k.
3, 7
Suppose m = 22 + 20. List the prime factors of m.
2, 3, 7
Let m be (2 - (3 - 1)) + -1. Let q be m/(-2) - (-1)/2. What are the prime factors of (-4*(q + 0))/(-2)?
2
Let u(j) = 2*j - 1. Let a be u(2). Suppose -a*q - 5*x + 114 = 0, 4*x - 38 - 139 = -5*q. Suppose -3*f + 24 = -q. What are the prime factors of f?
19
Suppose -1 = d - 2. Let r = d + -1. Let b(g) = g + 7. What are the prime factors of b(r)?
7
Suppose 0*k + 5*u = -5*k + 180, 0 = 5*k - u - 204. List the prime factors of k.
2, 5
Let t(q) = q**3 - 6*q**2 + q - 3. Let j be t(6). Suppose -2*u - 3*u + j*z = 5, 2*z = 2*u + 2. List the prime factors of -3 - (u - (8 + 0)).
2, 3
Suppose -5*k = -2*k. Suppose 0 = 4*a - 12, -5*j - 6 = -3*j - 4*a. Suppose k = j*h - 8*h + 25. List the prime factors of h.
5
Let s(l) = -l**3 - l**2 - l + 12. Let c = -3 + 5. Suppose 2*w = -c*w. List the prime factors of s(w).
2, 3
Suppose b + 7*n - 2*n - 49 = 0, -299 = -5*b + 2*n. List the prime factors of b.
59
Let a = -20 + -8. Let j be 1/((-26)/a - 1). What are the prime factors of (-1 - -3)*j/(-4)?
7
Let c = 39 + -35. Suppose 4*g - 104 = -0*g. Suppose -c*o + 26 + g = 0. List the prime factors of o.
13
Suppose 4*u - 14 = -u - 2*f, 0 = -u - 2*f + 6. Let o = 69 - 38. Suppose -u*v = -o + 9. What are the prime factors of v?
11
What are the prime factors of (12 - (-1 + -1))/2?
7
Suppose 2*l - 16 = -2*l, 2*h = -2*l + 16. Let v be (-4)/(-6) + 139/3. Suppose -h*j = -v - 29. What are the prime factors of j?
19
Let i(k) be the first derivative of k**4/4 + 4*k**3/3 - k**2 - 6*k - 4. Let q be 1*(-2 - -3)*-4. List the prime factors of i(q).
2
Suppose 4*g - 5*w = 160, 0 = 2*w + 8 - 0. What are the prime factors of g?
5, 7
Suppose 0 = 2*j + 2, -3*j + 7 = 5*m - 0. Suppose -4*c + 2*c = m. Let z = 6 + c. List the prime factors of z.
5
Let v(s) = 2*s - 2. Let m be ((-6)/(-4))/((-3)/(-14)). What are the prime factors of v(m)?
2, 3
Let a = 189 - 88. List the prime factors of a.
101
Let w(p) = -p - 1. Let k = -4 + -3. Let x(q) = 2*q + 2. Let a(j) = k*w(j) - 5*x(j). What are the prime factors of a(-5)?
2, 3
Let v(y) = y. Let j(d) = 3*d - 4. Let z(q) = j(q) + 4*v(q). Suppose 0 = -i + 3*k - 12, -i = -5*i - 2*k + 22. List the prime factors of z(i).
17
What are the prime factors of (-786)/(-7) + 16/(-56)?
2, 7
Suppose 12 = -5*f + 432. Suppose f = 5*p + 3*q, 0 = 3*p + 2*q - q - 52. Suppose 0*l = -3*l + p. List the prime factors of l.
2, 3
Suppose 11*w - 9*w = 6. Suppose -w = -5*b + 7, -2*i + 18 = -b. List the prime factors of i.
2, 5
Let p(q) = q - 4. Let o be p(4). Let k be -1 - -3 - (o + -4). What are the prime factors of (-2)/(-2 + 9/k)?
2
Let s(d) = -d**3 + 4*d**2 + 1. Let r be s(3). Suppose -r = -h - h. Suppose -m - 46 = -5*m + 2*y, -53 = -h*m + y. What are the prime factors of m?
2, 5
Suppose 6*t = 5*t + 26. List the prime factors of t.
2, 13
Suppose 0 = 11*o - 1836 - 771. What are the prime factors of o?
3, 79
Suppose -282 = -8*o + 2*o. List the prime factors of o.
47
Suppose 4*x + 4*q + 31 + 61 = 0, -x + q - 25 = 0. List the prime factors of 16/x + (-29)/(-3).
3
Let x(v) = 5*v**2 + 3*v. What are the prime factors of x(-3)?
2, 3
What are the prime factors of 4/((-64)/268)*-16?
2, 67
Suppose 2*i - w - 357 = 0, 0 = i - 2*i - 3*w + 161. What are the prime factors of i?
2, 11
List the prime factors of 196/7 + -1 + 1.
2, 7
Suppose 5*n = 10 + 20. What are the prime factors of n?
2, 3
Suppose 4*u = -j - u - 5, -16 = -2*j + 3*u. Suppose 3*k - 18 = -y - y, j*y = 5*k - 55. What are the prime factors of k?
2
Suppose 4*y - 8*y + 101 = 3*m, 5*y + 2*m = 135. List the prime factors of y.
29
Suppose -4*v = -x - 62, x - 28 = -2*v - 0*v. Suppose 5*t + 22 = 2. List the prime factors of t/(-10) + 144/v.
2, 5
Let z(i) = -5*i + 13. What are the prime factors of z(-9)?
2, 29
Suppose q = 2*i - 38, 39 - 123 = -4*i - 2*q. What are the prime factors of i?
2, 5
Let i be 6/(-30) - 21/(-5). Let b = i + 7. List the prime factors of b.
11
Suppose -4*c - 12 = -4*r, -3*c = -r - r + 5. Suppose -60 = z - r*z. Suppose -z = -3*a - a. What are the prime factors of a?
5
Let f be (-243)/12 - (-2)/8. Let l = 34 + f. What are the prime factors of l?
2, 7
Let f = 0 + -2. Let o = f - -4. What are the prime factors of 4 + (o + 2)/2?
2, 3
What are the prime factors of 209 - (3 + -7 + 1)?
2, 53
Suppose -2*a - 3*a = 70. Let n = a - -8. List the prime factors of 1 + 3/3 - n.
2
Suppose -17 = -3*p - 2*w, w - 2*w + 13 = 3*p. Suppose p*x + 4 = 16. Suppose -x*z + 33 = -z. What are the prime factors of z?
11
Let a be ((-52)/6)/((-4)/(-12)). What are the prime factors of (a/5 - -2)*-5?
2
Let z = 7 + -5. Suppose 2*w + z*r + 4 = r, 0 = 2*w - r. Let y = 6 + w. List the prime factors of y.
5
Let z be (2/(-10))/(5/(-25)). List the prime factors of (-24)/(-9) - z/(-3).
3
What are the prime factors of (-15 - -11)*(-1)/(-2) - -132?
2, 5, 13
Let x be (-5 + 21)*2/(-4). What are the prime factors of 1*22 - (7 + x)?
23
Suppose 2*w + 0*w - 32 = 0. Suppose w = 4*y - 92. What are the prime factors of y?
3
Suppose 3*g = -0*g. Let z = 1 + 3. Suppose g = 2*w - 0*w - z. List the prime factors of w.
2
Suppose -2*g - 3*g = 5*q - 190, -2*q + 64 = -2*g. Let o = q - 25. List the prime factors of o.
2, 5
Suppose -4*h + 3*h = -66. List the prime factors of h.
2, 3, 11
Let j(s) = -4*s - 1. Let b(i) = 7*i + 1. Let v(w) = 3*b(w) + 5*j(w). List the prime factors of v(5).
3
Let c be (-1)/3*(1 + -1). Suppose c*r - 78 = 3*r. What are t | {
"pile_set_name": "DM Mathematics"
} |
d derivative of -a**7/70 + 7*a**4/24 + 6*a**2. What is the second derivative of x(l) wrt l?
-36*l**2
Let i be 49/(-4) + (-1)/(-4). Let k = -10 - i. What is the derivative of 1 + 2 - 1 - k*f**4 wrt f?
-8*f**3
What is the first derivative of -5*h**2 + 0*h**2 - 33 + 47 wrt h?
-10*h
Let m(v) = 9*v**3 - v**2 + 2. Let d(k) = -k**3 - 1. Let n(p) = 2*d(p) + m(p). What is the third derivative of n(a) wrt a?
42
Let l(i) be the third derivative of -i**7/280 + i**5/40 - i**3/3 - 3*i**2. Let k(j) be the first derivative of l(j). Find the second derivative of k(r) wrt r.
-18*r
Let q(a) be the second derivative of -71*a**3/6 + 29*a**2/2 + 3*a - 3. What is the first derivative of q(w) wrt w?
-71
Suppose -p + c = 2, c - 6*c + 26 = 3*p. Let g(j) be the first derivative of 0*j**p + 1 + 0*j**3 + 1/4*j**4 - j. What is the first derivative of g(f) wrt f?
3*f**2
Let z(h) = -30*h + 25. Let y(k) = -15*k + 12. Let m(j) = -7*y(j) + 3*z(j). What is the derivative of m(u) wrt u?
15
Find the third derivative of -2*h**2 - 22*h**5 + 6*h**5 - 14*h**3 + 9*h + 14*h**3 wrt h.
-960*h**2
Let k(d) = -8*d**4 + d**3 + d**2 + d + 4. Let u(j) = j**3 + j**2 + j - 1. Let t(i) = k(i) - u(i). Differentiate t(s) with respect to s.
-32*s**3
Suppose -2*z + 4*b + b + 18 = 0, 2*z + 5*b = -2. What is the third derivative of -4*h**2 - 3*h**z + 2*h**2 + 0*h**4 wrt h?
-72*h
Suppose -s + 2 = -1. What is the derivative of 19*h**3 + 5 - 19*h**s - 4*h**4 wrt h?
-16*h**3
Let g(u) be the second derivative of -u**9/1008 - u**5/120 - u**3/3 + 3*u. Let h(s) be the second derivative of g(s). Find the second derivative of h(q) wrt q.
-60*q**3
Let n be (-48)/(-21) + 4/(-14). Let z(d) be the first derivative of 1/2*d**2 + 1/5*d**5 + 0*d**4 + 0*d**3 + 0*d + n. Find the second derivative of z(j) wrt j.
12*j**2
Let p(f) = -f**3 + 7*f**2 - 5*f. Let t be p(6). Find the third derivative of -6*q - 8*q**2 + 2*q**5 + 6*q**5 + t*q wrt q.
480*q**2
Let a(t) = t - 7. Let z(f) = -6 - 4 - 10 + 2*f. Let w(g) = -11*a(g) + 4*z(g). Find the first derivative of w(d) wrt d.
-3
Let d(t) = -6*t + 32. Let j(c) = 9*c - 48. Let f(v) = 8*d(v) + 5*j(v). Find the first derivative of f(m) wrt m.
-3
Find the third derivative of -5*v**6 + 2*v**6 + 7*v**6 + 2*v**2 wrt v.
480*v**3
Let k(f) be the first derivative of -9 + 1/7*f**7 + 0*f**4 + 0*f**2 + 0*f**6 + 0*f + 0*f**5 + 5/3*f**3. What is the third derivative of k(g) wrt g?
120*g**3
Let s = -2 - -1. Let k(o) = -6*o - 1. Let g be k(s). What is the second derivative of -5*v - g*v**4 + 3*v**4 + 2*v wrt v?
-24*v**2
Let w(s) be the first derivative of -3*s**4/2 + 3*s**2/2 + 13. Find the second derivative of w(f) wrt f.
-36*f
What is the third derivative of 0*g**3 + 374*g**2 + 10*g**6 - 365*g**2 + 4 + 0*g**3 wrt g?
1200*g**3
Find the third derivative of -3*n**2 + 17*n**3 - 17*n**4 - 17*n**3 wrt n.
-408*n
What is the second derivative of 11*h**4 - 3445 + 32*h + 3445 wrt h?
132*h**2
Suppose -3*l = -l - 12. Find the third derivative of 7*o**2 - o**2 + 18*o**6 - 20*o**l wrt o.
-240*o**3
Let y(d) = d**4. Let i = -9 - -13. Let k(f) = -4*f**2. Let n(h) = i*y(h) + k(h). What is the third derivative of n(j) wrt j?
96*j
Let n = -2 + 6. Let q(b) = -14*b**2 + 32. Let c(d) = 5*d**2 - 11. Let v(t) = n*q(t) + 11*c(t). Differentiate v(x) wrt x.
-2*x
Let m(r) be the second derivative of -r**7/42 + r**3/6 - 7*r. Find the second derivative of m(x) wrt x.
-20*x**3
Let v(j) be the second derivative of -j**3 - 9*j**2/2 - j. What is the first derivative of v(r) wrt r?
-6
Let w(n) be the first derivative of 3 + 0*n**3 + 1/12*n**4 + 4*n - n**2. Let c(g) be the first derivative of w(g). Differentiate c(d) wrt d.
2*d
Let v(n) = 3*n**3 - 1. Let x(d) = d + 11. Let b be x(-8). Let g(q) = -q**4 + q**3 - 1. Let k(i) = b*g(i) - v(i). Differentiate k(z) with respect to z.
-12*z**3
Let i(g) be the third derivative of 0 + 4*g**2 + 0*g + 1/60*g**6 + 0*g**3 + 0*g**5 - 1/8*g**4. What is the second derivative of i(v) wrt v?
12*v
Find the third derivative of 5*x**4 + 49*x**2 + x**3 + 2129*x - 2129*x wrt x.
120*x + 6
Let t(g) be the second derivative of -g**6/120 - g**5/60 + g**3/2 - 2*g. Let h(w) be the second derivative of t(w). Find the second derivative of h(b) wrt b.
-6
Let q = -73 + 75. Let p(f) be the first derivative of 0*f**q + 2/3*f**3 - 1 + f. Differentiate p(z) with respect to z.
4*z
Let a = -8 - -8. What is the derivative of 0*t + a + t + 2 + 0*t wrt t?
1
Let u(c) = -40*c + 2. Let o(w) = 16*w - 1. Let b(m) = -12*o(m) - 5*u(m). What is the first derivative of b(k) wrt k?
8
What is the second derivative of 5*j + 4*j**4 - 7*j**4 + 7*j**4 wrt j?
48*j**2
Let f(y) = -22*y**3 - 11*y**2 + 11*y - 35. Let w(i) = 11*i**3 + 6*i**2 - 6*i + 17. Let g(x) = -6*f(x) - 11*w(x). Differentiate g(o) with respect to o.
33*o**2
Find the first derivative of -18*m**3 - 11*m**3 + 19 + 88*m**3 - 34*m**3 wrt m.
75*m**2
Let d(m) = m + 1. Let p(l) = 8*l + 7. Let r(g) = -d(g) - p(g). What is the first derivative of r(y) wrt y?
-9
Suppose 3*a = 15 - 0, 3*a - 13 = s. What is the second derivative of -2*t**4 + 3*t - 3*t**s + 3*t**2 + 2*t wrt t?
-24*t**2
Let x(y) = 0 - 6 - 1 - y**2. Let g(o) be the second derivative of -o**4/6 - 13*o**2/2 - o. Let h(r) = -6*g(r) + 11*x(r). Differentiate h(z) wrt z.
2*z
Suppose f + 2 = -o, 2*f + 3 - 14 = o. Suppose -3 = -5*q + 12. What is the first derivative of -g**3 - q*g**4 - f + g**3 wrt g?
-12*g**3
Let j(u) = 47*u**3 - 5*u - 9. Let m(i) = -70*i**3 + 7*i + 13. Let b(y) = -7*j(y) - 5*m(y). What is the first derivative of b(d) wrt d?
63*d**2
Let d(f) = 3*f + 2. Let i(h) = 3*h + 1. Let o be -1 + -6*2/4. Let w = -7 - o. Let b(c) = w*d(c) + 4*i(c). Find the first derivative of b(v) wrt v.
3
Suppose -h + 4*h - 6 = 0. What is the third derivative of 0*a - 4*a + 4*a + a**h - 2*a**6 wrt a?
-240*a**3
Let a(m) be the first derivative of -4*m**5/5 + 3*m**2 - 1. Find the second derivative of a(t) wrt t.
-48*t**2
Let m(y) = 64*y - 34. Let o(p) = 13*p - 7. Let f(w) = -3*m(w) + 14*o(w). Find the first derivative of f(q) wrt q.
-10
Let x(i) be the first derivative of i**6/60 - i**3/2 + i**2/2 - 3. Let h(d) be the second derivative of x(d). Find the first derivative of h(f) wrt f.
6*f**2
Let o(s) = 2*s + 2*s - s**2 - 5*s - 6. Let z(v) = -3*v**2 - 2*v - 13. Let g(a) = -13*o(a) + 6*z(a). Find the second derivative of g(q) wrt q.
-10
Let p(d) = 9*d + 2. Let s(f) = f + 0*f - 3*f + 3*f. Let r(z) = p(z) - 6*s(z). What is the first derivative of r(g) wrt g?
3
Let k(r) = 31*r**3 - 43*r**2 + 5*r. Let g(x) = -16*x**3 + 22*x**2 - 2*x. Let u(n) = -5*g(n) - 2*k(n). Find the third derivative of u(o) wrt o.
108
What is the first derivative of 0*o**4 - 6*o**4 + 4 + 6*o**3 - 6*o**3 wrt o?
-24*o**3
Differentiate 14 + 5*k**4 - 519*k**2 + 519*k**2 with respect to k.
20*k**3
Let o(q) = 15*q**6 + 4*q**4 - 4*q**2 - 4*q. Let k(g) = g**6 + g**4 - g. Let c(f) = 4*k(f) - o(f). Find the third derivative of c(l) wrt l.
-1320*l**3
Let u(z) = -4*z**3 + 5*z**2 + 6*z. Let x(w) = -5*w + 4*w**3 - 40 - 4*w**2 + 40 - w**3. Let k(f) = -5*u(f) - 6*x(f). Find the third derivative of k(j) wrt j.
12
Let t = -34 - -173/5. Let g(b) be the first derivative of -4 + 0*b**2 + t*b**5 + 0*b**3 - 2*b + 0*b**4. Differentiate g(j) with respect to j.
12*j**3
Let g(k) be the second derivative of k**8/1120 + k**5/30 + 2*k**4/3 - 3*k. Let o(l) be the third derivative of g(l). Find the first derivative of o(y) wrt y.
18*y**2
Suppose 5*h + 5*p + 10 = 0, -20 = 6*p - 2*p. Find the second derivative of -h*m + 6*m + 8*m**2 - 7*m**2 wrt m.
2
What is the third derivative of -30*p**2 + 6*p**5 + 7*p**2 + 2*p**5 + 0*p**5 wrt p?
480*p**2
Let o(y) = -y**3 - y**2 + y - 1. Let k(z) = -z**4 - 40*z**2 + 3*z - 3. Let h(i) = k(i) - 3*o(i). What is the third derivative of h(f) wrt f?
-24*f + 18
Let s(p) = -p**3 - 2*p**2 + 2*p + 2. Let o be s(-3). Suppose 2*u = 5*r - u - 10, 0 = o*r - 5*u - 10. Differentiate 5 + r*w - 3*w - 2 with respect to w.
-1
Let z(v) = v**3 - 6*v**2 + 5*v + 3. Let m be z(4). Let c be (-2)/(-3 + 9)*m. What is the third derivative of -d**2 + c*d**2 - d**3 + 0*d**3 wrt d?
-6
Suppose 4*l - 2*d + d = 16, l - 4 = 2*d. Suppose 1 = l*i - 7. What is the third derivative of 5*h**i - h**2 + 0*h**4 - h**2 - h**4 wrt h?
-24*h
Let r(h) = -h**2 + 10*h - 4. Let d be r(9). What is the second derivative of -2 | {
"pile_set_name": "DM Mathematics"
} |
= r - -16. What are the prime factors of v?
2, 7
List the prime factors of 222*3/(-15)*(-20)/6.
2, 37
Suppose 2 = -5*z + 6*z. List the prime factors of z.
2
Suppose 2*b = -2*b + 84. List the prime factors of 4/((b/24)/7).
2
Suppose 0 = u + 2*w + w - 142, -5*u - 4*w + 655 = 0. List the prime factors of u.
127
Suppose 3*u = -12, 0*l - 4*u + 220 = 4*l. List the prime factors of l.
59
Let i = 158 + -88. Suppose -n + i = 3*m, 0 = 4*m + m - n - 122. What are the prime factors of m?
2, 3
Let p(q) = q**3 - 4*q**2 + 4*q - 15. List the prime factors of p(8).
3, 7, 13
Suppose 5*d - 192 = 4*z, 0*d - 3*d - z + 105 = 0. List the prime factors of d.
2, 3
Let q(y) be the first derivative of y**3/3 + 2*y**2 + 5*y + 1. Let s(a) = a**2 - 4*a - 4. Let u be s(4). List the prime factors of q(u).
5
Let z(p) = 3*p - 15. Suppose 4*b - 1 - 27 = 0. What are the prime factors of z(b)?
2, 3
Let z = 2 + -3. What are the prime factors of 11 - (2 + 0) - z?
2, 5
Let f(n) = -5 + 2*n - 4 + 7 + 12. List the prime factors of f(8).
2, 13
Suppose -5*j - 4 = -14. Suppose u = j*u - 17. List the prime factors of u.
17
Suppose 0 = -3*z - 5 - 7. Let v = 6 + z. List the prime factors of v.
2
Let c = 42 - 2. What are the prime factors of c?
2, 5
Let u be 5 - 3/(0 - 3). Suppose -u = -t + 5. What are the prime factors of t?
11
Suppose 20 = b + b. Suppose j - 2*i + 3*i - b = 0, -5*i = 2*j - 11. List the prime factors of j.
13
Let w be 21/6 - (-1)/(-2). Suppose -2*q + 21 = -3*x, -3*q = 2*q + w*x - 63. Let n = -2 + q. List the prime factors of n.
2, 5
Let a = 5 + 11. Suppose -i - a = -2*t, -t + 3*i = -5*t + 12. List the prime factors of t.
2, 3
Let c = -6 - -15. Let h be 45/27 + 1/3*1. Suppose 0 = h*z - 3*z + c. What are the prime factors of z?
3
Let f = 243 - 130. List the prime factors of f.
113
Let d = 85 + -50. List the prime factors of d.
5, 7
Let y(x) = 2*x**2 + 16*x + 13. Let v(o) = o**2 + 8*o + 7. Let z(g) = 7*v(g) - 4*y(g). What are the prime factors of z(-5)?
2, 3
Let g = 20 + -2. Suppose -g = 3*k - 0*t + 2*t, 5*k + 35 = -5*t. List the prime factors of (4/(-3))/(k/18).
2, 3
Let q = 109 + -90. What are the prime factors of q?
19
Let t = -9 - -45. What are the prime factors of 3 - (1 + -4 - t)?
2, 3, 7
Suppose 4*g = 5 + 3. Suppose g*s - 10 = 14. What are the prime factors of s?
2, 3
Let a = 138 - 45. List the prime factors of a.
3, 31
Let k = -161 - -241. Suppose k = m + 4*m. List the prime factors of m.
2
Let n = 26 - 28. List the prime factors of (n/(-3))/(-2)*-159.
53
Let p = 77 + -26. List the prime factors of p.
3, 17
Suppose 3*w = 4*h + 73, -6*w + 9 = -3*w. Let n = 11 + h. List the prime factors of 16*((-45)/12)/n.
2, 3
Let i be 0*-1*1/(-2). Suppose -5*v + 15 = t, -29 = -2*v - 5*t - 0. Suppose -v*p + i*p + 22 = 0. What are the prime factors of p?
11
Let s(b) = b**2 - b + 2. Let u = -9 - -14. What are the prime factors of s(u)?
2, 11
Suppose -5*g - 5*y = -880, 0*g + 4*y + 528 = 3*g. List the prime factors of g.
2, 11
Let a be 4*(3 + -2)*1. Suppose 5 = i - a. List the prime factors of i.
3
Suppose -b + 247 = 2*r, 4*r - 2*b - 231 - 251 = 0. What are the prime factors of r?
2, 61
Let b = -70 + 102. Suppose 6 = -5*r + 4*o + b, -4*o - 10 = 3*r. Suppose 2*k - 6 + r = 0. List the prime factors of k.
2
Let f(i) be the second derivative of i**5/20 + 5*i**4/12 + i**3/2 - 3*i**2/2 - i. Let s be f(-3). Suppose s - 13 = -v. List the prime factors of v.
7
Let b = 2 + 277. List the prime factors of b.
3, 31
Let u = 32 + -5. What are the prime factors of u?
3
Suppose 0 = 2*c + 9 + 1, -26 = -4*j - 2*c. Suppose -7 - j = t. Let m = t + 27. What are the prime factors of m?
11
Suppose 3*f - 137 - 624 = 2*o, 0 = 2*o + 2. List the prime factors of f.
11, 23
Suppose -4*l = -3*l - 10. List the prime factors of l.
2, 5
Let n(i) = -71*i + 3. List the prime factors of n(-2).
5, 29
Suppose -10*x + 6*x = -48. Let r = 26 - x. List the prime factors of r.
2, 7
Suppose 3*a - 4*a = -2. Suppose -a*y + 2 = -y. What are the prime factors of 1 - (y - 2) - -4?
5
Let y be (-13)/1 + 2/2. Let l = y + 31. What are the prime factors of l?
19
Let s(p) = -p**3 - p**2 + p + 5. Let z be s(0). Suppose 25 = z*m, -4*n + 41 = -2*m + 7*m. List the prime factors of n.
2
Let p = 49 + 87. What are the prime factors of p?
2, 17
Suppose 2 = u - 28. List the prime factors of u.
2, 3, 5
Let x = -28 + 33. List the prime factors of x.
5
Suppose -33 = -3*p + 2*p. Suppose 4*a - 3*d - 69 = 0, 2*a - d = 2*d + p. List the prime factors of (a/4)/(3/4).
2, 3
Let f = -1 + 3. Let w(x) = -x + 3*x - 2 + 6*x. What are the prime factors of w(f)?
2, 7
Let x be (2/(-4))/(1/(-4)). Suppose x*q - 32 = q. Let p = q - 23. List the prime factors of p.
3
Let q(g) = g**2 - 3*g - 10. Let c be q(5). Suppose c = 5*y - y - 16. List the prime factors of y.
2
Let m be ((-6)/(-4))/((-3)/(-16)). Suppose -3*j + 4*j - 12 = 0. Suppose -2*y - m = -4*l, l = -5*y + 12 + j. What are the prime factors of y?
2
Let n = -1 - -8. Suppose -3*d = -n*d + 32. List the prime factors of d.
2
Let u be -2 - 0/(0 - -3). List the prime factors of 3 - (-1 - 2/u).
3
Let o be 13 + -2*1/2. List the prime factors of o/(-54) - 76/(-18).
2
Let m = -5 - -3. Let z = m - -5. Suppose 0 = -d + 1, 7*d + z = k + 2*d. What are the prime factors of k?
2
Let g(x) = 4*x + 1. Let b be (3 - 5) + 3/1. Let v = b - -3. What are the prime factors of g(v)?
17
Suppose -20 = -4*j - 0*j. Suppose -4*h = -2*q - 32, -3*h + 0*q - j*q + 11 = 0. What are the prime factors of h?
7
Let l = -7 - -7. Suppose -9 = 3*c - 0*c, 4*h + 3*c - 47 = l. Suppose 4*d = 3*n - 29, -2*n + d = -3*d - h. What are the prime factors of n?
3, 5
Let b(o) = 2*o + 22. What are the prime factors of b(9)?
2, 5
Let u(w) = 0*w + 0*w - 2*w + w**2 - 6 - 6. List the prime factors of u(6).
2, 3
Suppose -c + 579 = 2*t, 591 = 2*t + 3*c + 2*c. Let f be 3/6*t/4. Suppose 0 = -o + 6*u - 4*u - 4, -4*o - 5*u + f = 0. What are the prime factors of o?
2
Let i(x) = x**2 - 6*x - 2. Let l be i(7). Suppose -4*w - 17 = -l*w. List the prime factors of w.
17
Suppose -g = 2*d - 63, -3*d + 177 = 2*d - 4*g. What are the prime factors of d?
3, 11
Let q be (51 + 0)*(-1)/(-3). Let n(z) = -z**2 - 6*z + 4. Let c be n(-5). Let t = q - c. List the prime factors of t.
2
Suppose -3*t + 0 + 21 = 0. Let n(i) = -i**3 + 8*i**2 - 3*i + 3. What are the prime factors of n(t)?
31
Suppose 11 = 5*r + 4*c, -16 = -0*r - 4*r + 4*c. Suppose -2*o = r*o - 100. List the prime factors of o.
2, 5
Let w(l) = -10*l + 12*l - 2*l**2 - 2*l**3 + l**3. Let n be w(-3). Suppose -4*t + 14 = b - 5, 37 = n*b + 2*t. What are the prime factors of b?
11
Let z(y) be the second derivative of -y**4/12 + 11*y**3/6 - 9*y**2/2 - 2*y. List the prime factors of z(7).
19
Suppose -1 = x, 3*x = -4*t + t - 27. Let u = t - -11. Suppose -17 + u = -l. List the prime factors of l.
2, 7
Let u(m) be the third derivative of m**4/8 - 7*m**3/6 - m**2. List the prime factors of u(7).
2, 7
Let w(f) = -f**3 + 6*f**2 - 8*f + 3. Let p be w(5). What are the prime factors of (p - 0)*(-2)/4?
2, 3
List the prime factors of (-1385)/(-15) - (-2)/(-6).
2, 23
Let q(i) = -i**3 - 3*i**2 + 2*i + 4. Let p be q(-3). Let c(g) = -2*g**3 + g**2 - 2. Let u be c(-2). Let t = p + u. List the prime factors of t.
2
Let r = 50 - 0. Suppose -70 = -5*y - 4*v - v, 3*y = -v + r. List the prime factors of y.
2, 3
Let l(z) = 93*z. What are the prime factors of l(1)?
3, 31
Let q(p) = -2*p. Let u be q(-2). Suppose 4*b = 4*m + 28, 5*b + 42 - 14 = -u*m. Let x = 10 + m. What are the prime factors of x?
3
Let s = 3 + -5. List the prime factors of (1*s)/((-12)/114).
19
Let o be 1/2 - 2/4. Let l be -4 + 3 - (9 - o). Let s = 2 - l. List the prime factors of s.
2, 3
Let p(i) = i**3 - 3*i**2 - 8*i + 5. Let l be p(5). Suppose z - 3 = 3*k, 1 = 2*z - 4*k - l. Suppose 0*m = -2*m + z. What are the prime factors of m?
3
Suppose 40 - 4 = 4*s. Let d(a) = -a**3 + 6*a**2 + 6*a + 5. Let q be d(7). Let x = s - q. What are the prime factors of x?
11
Let m(c) = c**2 - c - 34. Let h be m(0). What are the prime factors of h/12*-3*2?
17
Let l be (-2 + (-7)/(-2))*8. Suppose 2*y - 16 = 4*x, -y = 2*x + 4 - l. List the prime factors of y.
2
Suppose 0 = 4*l + 5*c - 26, -l - 2*c = 3*c + 1. What are the prime factors of l?
3
Let j(n) = 99*n - 3. List the prime factors of j(1).
2, 3
Let x(i) = 5*i**2 + 7* | {
"pile_set_name": "DM Mathematics"
} |
21 + 28/(-98)?
2, 3, 5
Let p(i) = i**2 + i. Let z(s) = -s**3 + 3*s**2 + 4*s + 5. Let t be z(4). List the prime factors of p(t).
2, 3, 5
Let b = 449 + 409. List the prime factors of b.
2, 3, 11, 13
Let a = 16 - 56. Let x = 1 - a. What are the prime factors of x?
41
Suppose 27*x = 4*d + 25*x - 11132, -5*d + 13915 = -5*x. List the prime factors of d.
11, 23
Let w(z) = z**3 - 5*z**2 + 5*z - 15. Let l = -14 - -3. Let u = l - -17. What are the prime factors of w(u)?
3, 17
Let w = 54 - 57. List the prime factors of -3*(-2)/3 + (-3)/w.
3
Let g = -8 - -14. Suppose 0*v + 872 = 5*v + 3*o, 2*v = -4*o + 346. Suppose -g*h + v = -h. What are the prime factors of h?
5, 7
Suppose -l = 2*l + 15. Let g(s) = -s**3 - 5*s**2 + 2*s. Let c be g(l). Let v = 61 + c. List the prime factors of v.
3, 17
What are the prime factors of (-13)/((-273)/(-28))*-837?
2, 3, 31
Let j be (-36)/2 - 5/(-5) - -1. Let q(g) = -3*g**2 + g + 4. Let w be q(3). Let v = j - w. List the prime factors of v.
2
Let o(b) = 2*b**3 - 6*b**2 + 3*b - 2. Suppose 4*x - 19 = -3. What are the prime factors of o(x)?
2, 3, 7
Suppose 2*o - 5*w - 1073 = -300, -4*o + 5*w + 1521 = 0. What are the prime factors of o?
2, 11, 17
Let q(r) = 0*r + 3*r + 52 - 49 + 2*r**2. List the prime factors of q(3).
2, 3, 5
Suppose 0 = 697*u - 690*u - 2100. List the prime factors of u.
2, 3, 5
List the prime factors of 280 - (6 + -2 + 2 + -6).
2, 5, 7
Suppose 0 = -0*w - 2*w - h + 222, -4*w - 4*h + 448 = 0. List the prime factors of w.
2, 5, 11
Let w be (-6)/4 + (-2814)/(-28). Let o = -43 + w. Suppose 2*q + o = 3*r, -4*q - 22 = -r - 0*q. What are the prime factors of r?
2, 3
Let o be 39 + (-1)/((-2)/4). Suppose 5*s + o - 176 = 0. What are the prime factors of (3/(-2))/(s/(-90))?
5
Suppose -4*v = 8, -6*v + 4*v = 3*x - 5564. List the prime factors of x.
2, 29
Let h(f) = 3*f - 6. Let a be h(2). Suppose -4*k = 5*q - 160, 3*q - 5*k - 3 - 130 = a. What are the prime factors of q?
2, 3
Let f be (-4)/(8/(-6)) + -14. Let z(i) = i**2 + 3*i - 20. What are the prime factors of z(f)?
2, 17
Let o(q) = q**2 + 4. Let c be -5*1/(-1) - -1. Suppose 3*l - c*l = -12. List the prime factors of o(l).
2, 5
Let a(w) = w**2 - 13*w + 8. Let z be a(13). Suppose 32 - z = 4*g. Let d(k) = k**2 - 4*k + 16. What are the prime factors of d(g)?
2, 7
Suppose -19*d + 20*d - 4*g - 784 = 0, 5*g - 3094 = -4*d. What are the prime factors of d?
2, 97
Let h(i) = 19*i**2 + 3*i - 10. Let a(x) = -13*x**2 - 2*x + 7. Let l(q) = 7*a(q) + 5*h(q). Let k be l(1). What are the prime factors of 26*1 - (6 - k)?
2, 3
Let j = 17 + -11. Suppose -9*v = -j*v + 6. List the prime factors of -5 + 47 + 0 + v.
2, 5
Suppose -3*k + 12 = -k - 3*d, 4*d = 5*k - 16. Suppose k = -5*n - 3*c + 91, -4*c + 72 = 4*n - 2*c. List the prime factors of n.
17
Let a = 10 - 8. Suppose 14 - a = b. Suppose 13 = 5*l - b. List the prime factors of l.
5
Suppose 4*h = h + 27. Let z be (6/(-4))/(h/(-156)). What are the prime factors of z/2 + (-5 - -5)?
13
Let d(k) = 11*k - 1. Let f be d(1). Suppose -x + 2*y = -f, 2 = x - 2*x - y. Suppose -3*n + 0*j + 4*j = -23, 0 = j + x. List the prime factors of n.
5
Let o = -1184 - -1664. List the prime factors of o.
2, 3, 5
Let r = 151 + -198. Let s = 88 + r. List the prime factors of s.
41
Let a = 687 + 512. What are the prime factors of a?
11, 109
Suppose 2*o + 15 = 5*o. Suppose 21*a - o*a = 1344. What are the prime factors of a?
2, 3, 7
Let h = -1099 + 1135. Suppose 6*u - 3*u - 36 = 0. Let p = h - u. What are the prime factors of p?
2, 3
Let v(w) = -47*w + 191. What are the prime factors of v(-19)?
2, 271
Let u = 3026 - 1078. What are the prime factors of u?
2, 487
Let f(d) = -54*d - 18. Let a be f(-10). Suppose -3*h = 3*h - a. What are the prime factors of h?
3, 29
Suppose -1910 = -36*s + 3814. What are the prime factors of s?
3, 53
Suppose -2*w + 101 = 17. Let j be -10*(-4 - -1)*-1. Let l = w + j. List the prime factors of l.
2, 3
Suppose a - 3*q = 2*a - 10, -5*q + 10 = 0. Let z(l) = 3*l**2 - 2*l + 4. What are the prime factors of z(a)?
2, 11
Suppose -3*l - 114 = -4*m, 3*m + 0*m = -2*l + 94. Suppose -8 = -c + m. Suppose 0 = -32*a + 33*a - c. List the prime factors of a.
2, 19
Let n be (-6)/8 - (26492/(-16) - -4). Suppose n = 16*k - 1293. What are the prime factors of k?
2, 23
Let m(j) be the third derivative of j**5/60 - 4*j**3 - 9*j**2. What are the prime factors of m(10)?
2, 19
List the prime factors of 11*((-60)/(-66))/5 - -553.
3, 5, 37
Let p(x) = -2*x**3 - 13*x**2 - 13*x - 1. What are the prime factors of p(-10)?
829
Let z(a) = 375*a + 92. What are the prime factors of z(5)?
7, 281
Let v(z) = 5*z**2 + 7*z - 23. What are the prime factors of v(-8)?
241
Let t(h) = h + 44. Suppose -3*k = 4*y - 105 + 25, 0 = 5*y + 3*k - 100. What are the prime factors of t(y)?
2
Suppose -17*g = 2073 - 33829. List the prime factors of g.
2, 467
Let u(h) = 121*h + 553. List the prime factors of u(24).
3457
Let h(w) = -w**2 - 8*w + 7. Let v be h(-9). Let b be v/4 + 2185/10. Suppose -5*m + b = 63. What are the prime factors of m?
31
Let o = -43 + 50. Suppose -2*m - w + o = m, -3*w + 3 = 0. List the prime factors of m.
2
Suppose 0 = o - 1500 + 379. Suppose 5*l + 440 = 2*t, -4*t + 2*l + o = t. Suppose 7*s = 2*s + t. What are the prime factors of s?
3, 5
Let u(o) = -10*o + 2. Let k(j) = -3*j + 1. Let i(x) = 11*k(x) - 4*u(x). Let d = 220 + -217. List the prime factors of i(d).
2, 3
Suppose -4*b + 12 = 0, 4*o + 27 = -4*b + 139. What are the prime factors of o?
5
Suppose 0 = -39*m + 35*m + 272. Suppose -67*a - 195 = -m*a. List the prime factors of a.
3, 5, 13
Let s(k) = -k**2 + 23*k + 23. Let i(z) = -2*z + 11. Let x be i(-3). List the prime factors of s(x).
5
Let a be 0 - (-4)/26 - 9269/(-169). Let s = 70 - a. What are the prime factors of s?
3, 5
Let o(t) = -t**3 + 6*t**2 + 7*t + 10. Let r be (18/(-30))/((-2)/30). Suppose -19 = -4*j + r. List the prime factors of o(j).
2, 5
Suppose 3*c + 5*y = 4, y + 2*y + 15 = 4*c. Suppose l - 79 = -c*l - b, -l + 4*b = -24. What are the prime factors of l?
2, 5
Suppose -a - f = a + 163, -5*f = -5. Let r = 195 + a. List the prime factors of r.
113
List the prime factors of 15504/21 + (-32)/112.
2, 3, 41
Suppose -31*z - 4*h - 3988 = -33*z, 0 = 4*z - 2*h - 7952. List the prime factors of z.
2, 3, 331
Let n = 74 + -50. Let k = -1 + n. What are the prime factors of k?
23
Let c be (183/(-9))/((-1)/(-6)). Let o = c - -55. Let i = -32 - o. List the prime factors of i.
5, 7
Suppose h = -22 - 1. Let g = 19 + h. What are the prime factors of (-6)/g*(-92)/(-6)?
23
Let t = 50 + -48. Suppose -2*j = -6, -t*c + c - 4*j + 215 = 0. List the prime factors of c.
7, 29
Let o = -305 + 519. List the prime factors of o.
2, 107
Let h = -4 - -20. Suppose h - 108 = -4*c. Let b = c - 2. What are the prime factors of b?
3, 7
Let q = -63 + 229. Suppose -q = -5*y - 3*i, -4*y + 9*y - 160 = -5*i. What are the prime factors of y?
5, 7
Let l = -388 + 753. List the prime factors of l.
5, 73
Suppose 6*y - 2*y = 232. Let k = 103 - y. What are the prime factors of k?
3, 5
Suppose -38*c = -2084 - 1450. List the prime factors of c.
3, 31
Let x be (2 + -4)/(4/18). Let g(b) = -3*b + 26. List the prime factors of g(x).
53
Let h(m) = 60*m + 62. List the prime factors of h(7).
2, 241
Suppose -25*q + 11*q = -17080. List the prime factors of q.
2, 5, 61
Let i(j) = j. Let g be i(-2). Let q be (4/(-1))/(0 + g). Suppose -57 = -q*k + 23. What are the prime factors of k?
2, 5
List the prime factors of (-1 + 490)/(75/75).
3, 163
Let v(i) = i**2 - 2*i - 5. Suppose 42 = 16*z - 18*z. Let d = 16 + z. What are the prime factors of v(d)?
2, 3, 5
Let w = -78 - -1043. Suppose 3*q + 11*b = 15*b + w, 4*q + 2*b = 1272. List the prime factors of q.
11, 29
Let z(l) = 22*l**3 - 2*l**2 - 4*l - 31. List the prime factors of z(5).
3, 883
Suppose 3*z - 16 + 4 = 0. Suppose 0 = -5*m + z*r - 10 - 2, 4*m + 18 = -r. Let p(a) = a**3 + 6*a**2 + 3*a + 5. List the prime factors of p(m).
5
Suppose -j - 2*j = -4*g - 15, -5*j = 2*g - 25. Suppose -4*o + d + 332 = g, 172 = o + o + d. What are the prime factors of o?
2, 3, 7
Let t = 47 - 39. Suppose -9*o + 12 = -t*o. What are the prime factors of o?
2, 3
Suppose -3*p - p - 66 = -5*l, -5*l + 75 = 5*p. List the prime factors of 889/l - 3/2.
2, 31
Suppose -682 = -3*a + 4553. What are the prime factors | {
"pile_set_name": "DM Mathematics"
} |
derivative of -n**4/12 - n**3 + 5*n**2/2 - n. Calculate c*p(j) - 5*i(j).
j**2 + 2*j - 1
Let v(l) = l - 2. Let f be v(-2). Let x(c) = -1 + 2*c + 0 - 5 + 1. Let s(y) be the third derivative of -5*y**4/24 + 7*y**3/3 - y**2. What is f*s(r) - 11*x(r)?
-2*r - 1
Let k(i) = -3 - 3 + 2*i**3 + 2. Suppose 12 = -4*f + 4*j, -f - 4 = -3*j - 1. Let z(n) = -n**3 + 3. Calculate f*k(o) - 4*z(o).
-2*o**3
Let p(g) = g**3 - g**2 + g - 1. Let k(c) = 9*c**3 - 8*c**2 + 7*c + 3. Let r(x) = x**3 - x**2 + x + 1. Let h(n) = k(n) - 5*r(n). What is -h(u) + 2*p(u)?
-2*u**3 + u**2
Let v(m) = m**2 - m - 1. Suppose 12 = 3*z + z. Let n(q) be the first derivative of -q**4/2 - 2*q**3/3 + 3*q**2/2 + 3*q + 29. Determine z*v(p) + n(p).
-2*p**3 + p**2
Let c(v) = -7*v + 20. Let u(n) = -11*n + 30. Calculate 8*c(b) - 5*u(b).
-b + 10
Let k(s) = s**2 + 2*s - 1. Suppose 4*c - 24 = -2*x, -6*x = -x + 3*c - 25. Let z = -3 + -2. Let a(o) = 3*o**2 + 5*o - 3. Calculate x*a(h) + z*k(h).
h**2 - 1
Let w(r) = -4*r**3 - 7*r**2 - 7*r - 9. Let g be 2/(4/(-18)) + (45 - 43). Let s(h) = 3*h**3 + 5*h**2 + 5*h + 6. Determine g*s(a) - 5*w(a).
-a**3 + 3
Let a(h) = 4*h**3 - 9*h**2 + 7*h. Let j(b) = 6*b**3 - 13*b**2 + 10*b. Let o = 6 - 13. Calculate o*a(z) + 5*j(z).
2*z**3 - 2*z**2 + z
Let s(l) = 1. Let v(w) = 7*w - 4. What is 4*s(x) + v(x)?
7*x
Let q(d) = -d**2 - d + 15. Let z(t) = -7 + 5 + 4. Calculate 2*q(g) - 14*z(g).
-2*g**2 - 2*g + 2
Let n(m) = 7*m**2 - 6*m. Let x(h) be the third derivative of h**5/10 - 5*h**4/24 + 2*h**2. Give -5*n(p) + 6*x(p).
p**2
Let c(u) = -u. Let v(f) = -6*f + 1. Calculate -4*c(p) - v(p).
10*p - 1
Let t(a) = -3*a**3 - 5*a**2 + 3. Let j(d) = -4*d**3 - 6*d**2 + 3. Give -5*j(f) + 6*t(f).
2*f**3 + 3
Let o(a) = -a + 12. Let r be o(9). Let h(w) = -w**2 + 5*w + 3. Let j(t) = -t**2 + 4*t + 2. Determine r*h(m) - 4*j(m).
m**2 - m + 1
Let q(s) = 2*s + 2*s + 0 + 7. Let h(w) = 3*w + 6. Let p = -5 - -10. Give p*h(l) - 4*q(l).
-l + 2
Let u(q) = 17*q + 3. Let r(h) = -52*h - 10. Determine 6*r(n) + 20*u(n).
28*n
Let a(l) = 12*l**3 + 4*l**2 - 4*l - 4. Let t(k) = -k**3 - k**2 + k + 1. Determine -5*a(c) - 20*t(c).
-40*c**3
Let b(j) = 5*j - 13. Let v(x) = -6*x + 8. Let k(o) = -14*o + 17. Let n(s) = 2*k(s) - 5*v(s). What is 6*b(t) - 13*n(t)?
4*t
Let q(y) = y**3 + 7*y**2 - 7*y - 7. Let n(d) = -d**3 - 6*d**2 + 6*d + 6. Let k be 25/4 + 2/(-8). Let w be (-122)/(-18) + (-2)/(-9). Determine k*q(i) + w*n(i).
-i**3
Let j(t) = 2*t. Let o(x) = 1. Suppose -4*r - 7 = 5. Determine r*o(z) + j(z).
2*z - 3
Let d(l) = 9*l + 7. Let q(x) = -x - 7 + 10 + 6*x + 1. Let v = 4 - 11. Let h = -4 - v. Give h*d(r) - 5*q(r).
2*r + 1
Suppose 0*d + 2 = d. Let v(q) = -q - 62 + 62 - q**d. Let i(t) = -7*t**2 - 8*t. Calculate -i(p) + 6*v(p).
p**2 + 2*p
Let g(z) = 4*z**3 + z**2 + 6*z - 5. Let v(o) = 2*o**3 + o**2 + 3*o - 3. What is 3*g(l) - 5*v(l)?
2*l**3 - 2*l**2 + 3*l
Let o(p) = -7*p**3 - 14*p**2 + 5*p + 1. Let s(b) = -2*b**3 - 5*b**2 + 2*b. Let i(j) = 4*o(j) - 11*s(j). Let g(a) = a**3 - 1. Give -4*g(h) - i(h).
2*h**3 + h**2 + 2*h
Let t(f) = 4*f**2 + 5*f - 4. Let l(p) = -11*p**2 - 14*p + 11. Let z be (3/3)/((-1)/(-3)). What is z*l(m) + 8*t(m)?
-m**2 - 2*m + 1
Suppose -3*i = l + 3*l + 1, -5 = 3*i + 5*l. Let p = i - 0. Let c(o) = -o + 4. Let n(h) = 1. Determine p*n(b) - c(b).
b + 1
Let i(j) = -j**2 + 1. Let x(q) = -3*q**2 - 9*q - 4. Let f(v) = 4*i(v) + x(v). Let l(b) = 4*b + 4*b**2 - 14 + b + 14. Determine 6*f(n) + 11*l(n).
2*n**2 + n
Let o(l) = l**3 - l**2 - l + 1. Let t(p) be the third derivative of -p**6/24 + p**5/12 + p**4/6 - 2*p**3/3 - 32*p**2. Determine -4*o(y) - t(y).
y**3 - y**2
Let r(c) = -15*c - 6. Let q(d) = -3*d - 1. What is -21*q(z) + 4*r(z)?
3*z - 3
Let o(r) be the first derivative of -r**2 - 4*r - 5. Let h(w) = 2*w + 5. Let m(u) = -3*h(u) - 4*o(u). Let f(q) = -6*q - 2. Determine 3*f(d) + 8*m(d).
-2*d + 2
Let x be (6/24)/((-2)/(-8)). Let o(b) = -b**2 + 1. Let g(k) = -5*k**2 - 2*k + 6. Determine x*g(r) - 6*o(r).
r**2 - 2*r
Let z(b) = 2*b**3 + 5*b**2 - 5*b - 4. Let p(m) = -3*m + 0 - 3 + 3*m**2 + 1 + m**3. Let c = 42 + -39. Give c*z(s) - 5*p(s).
s**3 - 2
Let s(y) be the third derivative of 7*y**4/24 + 2*y**3/3 - y**2. Let x(v) = 2*v + 1. What is -6*s(g) + 22*x(g)?
2*g - 2
Let y(v) = 6*v**2 - 17*v - 14. Let t = -1 + 2. Let i(f) = 6 - 2*f**2 - t + f + 5*f + 0*f**2. What is 17*i(g) + 6*y(g)?
2*g**2 + 1
Suppose 0 = f - 5 - 0. Let k(n) = 2*n - 5. Let w(u) = -2*u + 6. Calculate f*k(m) + 4*w(m).
2*m - 1
Let n(h) = -h**3 - 3*h + 3. Suppose -x = -4 + 1. Let o be (15/(-3) + 3)*1. Let l(z) = -z**3 - 2*z + 2. Give o*n(g) + x*l(g).
-g**3
Let u(r) = -r**3 - 3*r**2 - 7*r - 4. Let y(l) = 2*l**2 + 6*l + 3. Calculate 2*u(g) + 3*y(g).
-2*g**3 + 4*g + 1
Let z = -3 - -5. Suppose -z + 0 = 2*v. Let o(l) be the third derivative of l**4/8 + l**3/2 - 5*l**2. Let b(u) = u + 1. What is v*o(f) + 5*b(f)?
2*f + 2
Let m(k) = -2*k - 2. Let n(a) be the first derivative of a**4/4 - a**3/3 - 3*a**2/2 - 3*a - 23. Give 3*m(v) - 2*n(v).
-2*v**3 + 2*v**2
Let l(y) = 2*y**2 + 25*y - 8. Let r(j) = -j**2 - 17*j + 5. Calculate -5*l(k) - 8*r(k).
-2*k**2 + 11*k
Let w(m) = 2*m**3 + 4*m**2 + 13*m - 5. Let i(h) be the first derivative of h**4/4 + 2*h**3/3 + 7*h**2/2 - 3*h + 16. Determine -5*i(v) + 3*w(v).
v**3 + 2*v**2 + 4*v
Let f(j) = 5*j - 5. Let g(y) = -14*y + 14. Determine 8*f(u) + 3*g(u).
-2*u + 2
Let n(u) = u**2 + 4*u + 2. Suppose -18 = 3*p - 0*j + 4*j, 4*p - 4 = 4*j. Let x be (-1 + 2)/(2/(-18)). Let q(a) = -4*a**2 - 17*a - 9. Give p*q(w) + x*n(w).
-w**2 - 2*w
Let t(w) = 2*w + 1. Let d(h) = h**3 + 3*h + 2. What is 2*d(m) - 5*t(m)?
2*m**3 - 4*m - 1
Let q(n) = n**3 + 9*n**2 + 7*n + 19. Let h be q(-8). Let o(a) = -5*a + 2. Let g(p) = 7 - 6 + 66*p - 9 - 19. Calculate h*o(v) + 2*g(v).
-3*v
Let y(p) = -2*p**3 + p**2 + 5*p. Suppose 6*u - 2*u = -16. Let x = u - 2. Let n(r) = -2*r**3 + r**2 + 0*r**3 + 6*r + 0*r**2. Calculate x*y(k) + 5*n(k).
2*k**3 - k**2
Let k(v) = 2*v**3 + 2*v**2 - 5*v - 71. Let y(w) = w**3 + w**2 - 3*w - 35. Determine 3*k(f) - 5*y(f).
f**3 + f**2 - 38
Let f(m) = -6*m + 10. Let z(v) = -8*v + 0*v + 9*v + v - 3. Give -2*f(x) - 7*z(x).
-2*x + 1
Let q(u) = 3*u**2 + 3*u. Let n = -315 + 319. Let v(h) = h**3 + 3*h**2 - 1. Let z be v(-3). Let k(m) = m**2 + m. Calculate n*k(w) + z*q(w).
w**2 + w
Let w be (28/(-8) + 3)*0. Suppose -2*x + w*x + 9 = -5*j, -9 = -4*x + j. Let n(o) = o**3 + 2*o**2 - 2. Let d(t) = -t**3 - 3*t**2 + 3. What is x*d(c) + 3*n(c)?
c**3
Let v(w) = 11*w**3 - 5*w**2 - w - 5. Let q(b) = b**2 + 17*b + 35. Let o be q(-15). Let f(y) = 17*y**3 - 8*y**2 - 2*y - 8. What is o*f(s) - 8*v(s)?
-3*s**3 - 2*s
Let l(v) = v**2 - v. Let b(w) = -w**3 + 4*w**2 + 10*w. Calculate b(p) - 4*l(p).
-p**3 + 14*p
Let f(a) = -7*a**2 + 2*a + 5. Let j(v) = 73*v + 6. Let y be j(-9). Let m be y/49 - 2/(-7). Let l(u) = 15*u**2 - 4*u - 11. What is m*f(q) - 6*l(q)?
q**2 - 2*q + 1
Let z(k) = -k**2 - 1. Let i(t) = -9*t**2 - 2*t - 7. Calculate -i(l) + 6*z(l).
3*l**2 + 2*l + 1
Let p(f) = -324*f**2 - 51. Let i(x) = 13*x**2 + 2. What is -153*i(u) - 6*p(u)?
-45*u**2
Let z(h) = -2*h + 5. Let k(g) = 3*g - 6. Calculate -4*k(u) - 5*z(u).
-2*u - 1
Let h(l) = 8*l**3 - 6*l + 5. Let x(m) = -11 + 2 - 5 + 17*m - 23*m**3. Give -17*h(c) - 6*x(c).
2*c**3 - 1
Let j be (-2 - -1 - 2) + 2. Let i(d) = -2*d**2 - 6*d - 5. Let a(s) = s. Let h(w) = -2*w + 1. Let k(g) = 3*a(g) + h(g). Calculate j*i(c) - 5*k(c).
2*c**2 + c
Let m(a) = a**2 - 4*a - 1. Let z(q) = -5*q**2 + 21*q + 6. Calculate -11*m(s) - 2*z(s).
-s**2 + 2*s - 1
Suppose 4*x - 14 = 2*l, 0*l = x - 3*l - 11. Let b(f) = 2 - x + 21*f. Let z = 11 - 9. Let r(o) = -4*o. Determine z*b(p) + 11*r(p).
-2*p
Suppose m - 14 = 5*z, 0 = 3*m - 0 + 3. Let j(c) = c**3 + 1. Let d(u) = 4*u**3 + u**2 + 3*u + 3. Determine z*j(y) + d(y).
y**3 + y**2 + 3*y
Let s(y) = y**3 - y**2 - y - 1. Let p be (-18)/12*(-4)/3. Let h(d) = -2*d**3 + 0 + 5*d + 5*d**p - d**3 + 5. Give h(m) + 5*s(m).
2*m**3
Let u(m) be the third derivative of -m**6/120 - m**5/60 + m**4/24 + m**3/6 + 18*m**2. Let q(w) = 5*w**3 + 4*w**2 - 3*w - 5. Give q(a) + 3*u(a).
2*a**3 + a**2 - 2
Let q(v) = -v. Let p(l) be the first derivative of 5*l**3/3 - 3*l**2/2 + 16. Calculate p(i) - 3*q(i).
5*i**2
Let l(i) = i + 1. Let o(x) = 300 - 300 - 4*x. Calculate 2*l(t) + o(t).
-2*t + 2
Let r(j) = -7*j**2 - 5. Let l(u) be the thir | {
"pile_set_name": "DM Mathematics"
} |
there between 5:47 PM and 9:09 PM?
202
How many minutes are there between 4:10 AM and 11:56 AM?
466
How many minutes are there between 7:28 PM and 8:17 PM?
49
How many minutes are there between 1:49 AM and 4:44 AM?
175
What is 631 minutes after 1:23 PM?
11:54 PM
How many minutes are there between 12:24 PM and 10:40 PM?
616
How many minutes are there between 2:34 PM and 11:26 PM?
532
How many minutes are there between 8:57 PM and 4:36 AM?
459
What is 89 minutes before 8:03 PM?
6:34 PM
What is 584 minutes before 3:18 PM?
5:34 AM
What is 644 minutes before 7:40 PM?
8:56 AM
What is 572 minutes after 5:24 PM?
2:56 AM
What is 252 minutes before 1:02 AM?
8:50 PM
How many minutes are there between 6:58 AM and 3:21 PM?
503
What is 502 minutes before 12:11 PM?
3:49 AM
How many minutes are there between 5:33 PM and 8:08 PM?
155
How many minutes are there between 9:51 AM and 5:33 PM?
462
How many minutes are there between 12:55 AM and 3:56 AM?
181
How many minutes are there between 6:08 PM and 1:58 AM?
470
What is 266 minutes after 9:17 AM?
1:43 PM
What is 468 minutes after 3:38 AM?
11:26 AM
How many minutes are there between 5:44 PM and 1:12 AM?
448
What is 454 minutes before 6:49 PM?
11:15 AM
What is 367 minutes after 10:21 AM?
4:28 PM
How many minutes are there between 11:56 PM and 11:17 AM?
681
How many minutes are there between 1:25 PM and 8:19 PM?
414
How many minutes are there between 11:17 PM and 11:31 PM?
14
How many minutes are there between 2:40 PM and 3:15 PM?
35
How many minutes are there between 5:19 AM and 1:31 PM?
492
What is 556 minutes after 5:02 AM?
2:18 PM
How many minutes are there between 5:30 AM and 12:34 PM?
424
What is 697 minutes before 6:58 PM?
7:21 AM
What is 710 minutes before 7:30 PM?
7:40 AM
What is 195 minutes after 2:50 PM?
6:05 PM
How many minutes are there between 6:31 PM and 8:07 PM?
96
How many minutes are there between 5:44 PM and 2:57 AM?
553
How many minutes are there between 9:34 PM and 11:44 PM?
130
What is 624 minutes before 7:38 AM?
9:14 PM
What is 209 minutes after 11:49 PM?
3:18 AM
How many minutes are there between 2:55 PM and 12:31 AM?
576
What is 708 minutes after 4:00 PM?
3:48 AM
What is 155 minutes before 3:29 AM?
12:54 AM
What is 103 minutes after 10:14 PM?
11:57 PM
How many minutes are there between 5:44 PM and 6:23 PM?
39
What is 59 minutes after 6:00 AM?
6:59 AM
What is 558 minutes after 2:01 PM?
11:19 PM
What is 293 minutes after 8:07 PM?
1:00 AM
What is 252 minutes after 9:15 PM?
1:27 AM
What is 546 minutes after 3:11 AM?
12:17 PM
How many minutes are there between 12:09 AM and 2:41 AM?
152
What is 235 minutes after 5:43 PM?
9:38 PM
How many minutes are there between 6:37 AM and 2:23 PM?
466
How many minutes are there between 4:05 AM and 3:54 PM?
709
How many minutes are there between 11:03 AM and 2:17 PM?
194
How many minutes are there between 12:40 PM and 1:05 PM?
25
What is 92 minutes before 9:36 PM?
8:04 PM
What is 414 minutes before 12:18 PM?
5:24 AM
What is 128 minutes after 12:09 AM?
2:17 AM
How many minutes are there between 3:39 AM and 2:56 PM?
677
How many minutes are there between 12:21 PM and 11:00 PM?
639
What is 266 minutes before 3:19 AM?
10:53 PM
How many minutes are there between 4:22 PM and 12:05 AM?
463
How many minutes are there between 11:39 AM and 7:44 PM?
485
What is 170 minutes before 3:39 PM?
12:49 PM
What is 682 minutes after 10:31 AM?
9:53 PM
How many minutes are there between 7:44 PM and 8:46 PM?
62
How many minutes are there between 9:47 PM and 4:31 AM?
404
How many minutes are there between 4:48 PM and 11:51 PM?
423
What is 54 minutes before 1:18 PM?
12:24 PM
How many minutes are there between 1:52 AM and 1:14 PM?
682
How many minutes are there between 1:20 AM and 12:57 PM?
697
How many minutes are there between 10:28 AM and 8:46 PM?
618
What is 56 minutes after 12:20 PM?
1:16 PM
How many minutes are there between 8:49 PM and 2:12 AM?
323
What is 406 minutes before 9:43 PM?
2:57 PM
What is 641 minutes after 5:57 PM?
4:38 AM
How many minutes are there between 2:51 AM and 9:49 AM?
418
What is 557 minutes before 5:34 AM?
8:17 PM
What is 244 minutes after 5:21 AM?
9:25 AM
How many minutes are there between 10:10 AM and 7:57 PM?
587
What is 682 minutes before 3:09 PM?
3:47 AM
What is 692 minutes before 5:04 AM?
5:32 PM
What is 490 minutes after 9:13 PM?
5:23 AM
How many minutes are there between 12:06 AM and 7:18 AM?
432
What is 270 minutes before 3:08 PM?
10:38 AM
What is 194 minutes before 6:20 PM?
3:06 PM
What is 97 minutes after 9:41 AM?
11:18 AM
How many minutes are there between 11:41 AM and 5:02 PM?
321
What is 331 minutes before 10:50 PM?
5:19 PM
What is 491 minutes before 4:03 AM?
7:52 PM
How many minutes are there between 5:54 PM and 6:38 PM?
44
What is 630 minutes before 9:57 AM?
11:27 PM
What is 59 minutes after 8:51 PM?
9:50 PM
What is 636 minutes before 5:42 AM?
7:06 PM
How many minutes are there between 6:11 AM and 2:27 PM?
496
How many minutes are there between 4:59 PM and 3:15 AM?
616
How many minutes are there between 9:54 PM and 11:22 PM?
88
What is 557 minutes before 8:25 AM?
11:08 PM
How many minutes are there between 8:02 PM and 1:55 AM?
353
How many minutes are there between 8:42 AM and 8:56 AM?
14
How many minutes are there between 5:27 PM and 6:36 PM?
69
How many minutes are there between 3:15 PM and 10:27 PM?
432
How many minutes are there between 5:34 PM and 5:03 AM?
689
How many minutes are there between 3:48 PM and 5:58 PM?
130
What is 128 minutes before 5:58 AM?
3:50 AM
How many minutes are there between 2:14 AM and 6:14 AM?
240
What is 607 minutes after 12:25 AM?
10:32 AM
How many minutes are there between 4:19 PM and 4:58 PM?
39
What is 176 minutes before 7:49 AM?
4:53 AM
How many minutes are there between 1:27 AM and 7:22 AM?
355
How many minutes are there between 7:28 AM and 9:53 AM?
145
What is 587 minutes before 7:06 PM?
9:19 AM
How many minutes are there between 12:29 AM and 3:44 AM?
195
What is 211 minutes after 10:37 PM?
2:08 AM
How many minutes are there between 3:02 AM and 11:30 AM?
508
How many minutes are there between 8:19 AM and 10:31 AM?
132
What is 639 minutes before 4:11 PM?
5:32 AM
What is 687 minutes before 12:52 PM?
1:25 AM
What is 317 minutes after 10:49 PM?
4:06 AM
What is 10 minutes after 2:21 PM?
2:31 PM
How many minutes are there between 2:19 AM and 5:24 AM?
185
How many minutes are there between 9:14 PM and 11:31 PM?
137
What is 491 minutes after 6:15 AM?
2:26 PM
How many minutes are there between 4:17 AM and 6:46 AM?
149
What is 682 minutes before 11:53 PM?
12:31 PM
What is 128 minutes after 5:52 PM?
8:00 PM
How many minutes are there between 11:27 PM and 4:37 AM?
310
How many minutes are there between 10:43 PM and 11:37 PM?
54
What is 687 minutes before 9:12 PM?
9:45 AM
How many minutes are there between 5:44 PM and 1:44 AM?
480
What is 166 minutes after 12:17 AM?
3:03 AM
How many minutes are there between 11:48 AM and 4:48 PM?
300
How many minutes are there between 5:57 PM and 3:43 AM?
586
What is 647 minutes before 8:07 PM?
9:20 AM
What is 681 minutes after 11:26 AM?
10:47 PM
What is 240 minutes before 12:02 AM?
8:02 PM
What is 508 minutes after 11:21 AM?
7:49 PM
What is 155 minutes before 7:52 PM?
5:17 PM
How many minutes are there between 9:32 PM and 11:27 PM?
115
What is 399 minutes after 2:07 PM?
8:46 PM
How many minutes are there between 12:46 PM and 3:50 PM?
184
How many minutes are there between 7:56 AM and 1:50 PM?
354
What is 345 minutes after 6:52 PM?
12:37 AM
How many minutes are there between 4:55 PM and 11:49 PM?
414
How many minutes are there between 4:40 AM and 6:27 AM?
107
What is 355 minutes after 10:02 PM?
3:57 AM
How many minutes are there between 1:45 AM and 10:52 AM?
547
How many minutes are there between 12:26 AM and 4:50 AM?
264
What is 63 minutes after 12:24 PM?
1:27 PM
How many minutes are there between 11:57 AM and 5:20 PM?
323
What is 49 minutes before 1:21 AM?
12:32 AM
What is 197 minutes after 7:48 PM?
11:05 PM
What is 344 minutes before 6:16 AM?
12:32 AM
What is 42 minutes before 6:42 PM?
6:00 PM
How many minutes are there between 10:47 PM and 2:56 AM?
249
What is 558 minutes after 1:12 AM?
10:30 AM
What is 141 minutes after 2:14 AM?
4:35 AM
How many minutes are there between 10:3 | {
"pile_set_name": "DM Mathematics"
} |
31733 prime?
False
Is 206993 composite?
False
Is 37067 a composite number?
True
Is 1006021 a prime number?
True
Is 10033 composite?
True
Is 10727 a prime number?
False
Is 151729 a prime number?
True
Is 67085 a composite number?
True
Is 4883 a prime number?
False
Is 186377 a composite number?
False
Is 31643 composite?
False
Is 11101 composite?
True
Is 32537 composite?
False
Is 2257 a composite number?
True
Is 37427 a prime number?
False
Is 62791 a prime number?
True
Is 5678021 a composite number?
True
Is 20953 a composite number?
True
Is 96037 a composite number?
True
Is 10037 composite?
False
Is 27473 composite?
True
Is 27847 composite?
False
Is 1943 a prime number?
False
Is 12827 composite?
True
Is 464251 a composite number?
False
Is 645179 composite?
False
Is 4007593 a composite number?
False
Is 2155 a prime number?
False
Is 14171 a composite number?
True
Is 9179 prime?
False
Is 23927 prime?
False
Is 82129 prime?
True
Is 78079 a prime number?
True
Is 2521 prime?
True
Is 1147 a prime number?
False
Is 1259 prime?
True
Is 282027 a prime number?
False
Is 2869001 prime?
True
Is 10673 composite?
True
Is 7411 prime?
True
Is 25013 a composite number?
False
Is 713242 a composite number?
True
Is 12143 a prime number?
True
Is 27766 a composite number?
True
Is 191365 composite?
True
Is 21001 composite?
False
Is 91883 a prime number?
False
Is 20798 composite?
True
Is 12459 a composite number?
True
Is 65833 prime?
False
Is 216869 a composite number?
True
Is 500197 composite?
False
Is 1469197 composite?
False
Is 465109 a prime number?
False
Is 10533 composite?
True
Is 150229 prime?
False
Is 211 a prime number?
True
Is 193871 a prime number?
True
Is 111337 composite?
False
Is 25799 composite?
False
Is 563131 a prime number?
True
Is 195838 a prime number?
False
Is 388033 composite?
True
Is 87439 composite?
True
Is 390527 a composite number?
False
Is 1303663 composite?
True
Is 49597 a composite number?
False
Is 97247 a prime number?
False
Is 23773 a prime number?
True
Is 2395117 a composite number?
False
Is 5359 a prime number?
False
Is 425029 a composite number?
True
Is 2291 a prime number?
False
Is 1678 composite?
True
Is 17399 prime?
False
Is 69807 composite?
True
Is 8779 a prime number?
True
Is 279493 prime?
False
Is 215621 composite?
True
Is 19231 a composite number?
False
Is 556159 a composite number?
False
Is 96431 a composite number?
False
Is 1576157 a composite number?
True
Is 155609 prime?
True
Is 51 composite?
True
Is 14871 a composite number?
True
Is 33659 composite?
True
Is 6521 prime?
True
Is 100819 a composite number?
True
Is 369487 a composite number?
False
Is 19235 composite?
True
Is 9655 composite?
True
Is 40253 a prime number?
True
Is 1657 a prime number?
True
Is 54887 a prime number?
False
Is 338615 a prime number?
False
Is 221873 composite?
False
Is 1115 composite?
True
Is 882289 composite?
False
Is 153673 a composite number?
True
Is 1541315 composite?
True
Is 78823 a prime number?
True
Is 761113 a composite number?
False
Is 39874 prime?
False
Is 1091399 a prime number?
True
Is 74821 prime?
True
Is 409583 a prime number?
False
Is 43574 composite?
True
Is 6667 prime?
False
Is 5981 prime?
True
Is 9533 composite?
False
Is 16729 a composite number?
False
Is 191579 a composite number?
False
Is 183847 a composite number?
True
Is 1109 a prime number?
True
Is 179479 a prime number?
True
Is 36878 composite?
True
Is 301073 prime?
True
Is 760391 prime?
False
Is 769 prime?
True
Is 203807 composite?
False
Is 10519 a composite number?
True
Is 1062865 a composite number?
True
Is 1223707 composite?
True
Is 222581 composite?
True
Is 17213 a composite number?
True
Is 7715 a prime number?
False
Is 14431 a prime number?
True
Is 190933 composite?
True
Is 407893 a composite number?
False
Is 65761 a prime number?
True
Is 730193 a prime number?
False
Is 130631 a prime number?
True
Is 23711 a composite number?
True
Is 19661 composite?
False
Is 276035 a composite number?
True
Is 509471 a prime number?
False
Is 18623 composite?
True
Is 8251 a composite number?
True
Is 24989 a prime number?
True
Is 3901 prime?
False
Is 562541 a prime number?
False
Is 15527 prime?
True
Is 100787 composite?
False
Is 679 composite?
True
Is 1599637 a composite number?
True
Is 11981 composite?
False
Is 359305 composite?
True
Is 29663 a prime number?
True
Is 7573 prime?
True
Is 8939 prime?
False
Is 65959 a composite number?
True
Is 979 a prime number?
False
Is 766427 a prime number?
False
Is 11766487 composite?
False
Is 3401 prime?
False
Is 85154 a composite number?
True
Is 8803 a composite number?
False
Is 9689 prime?
True
Is 392273 prime?
False
Is 7867 a composite number?
False
Is 91 composite?
True
Is 110243 composite?
True
Is 54919 composite?
False
Is 1290635 prime?
False
Is 268773 a composite number?
True
Is 4556989 composite?
False
Is 468515 a composite number?
True
Is 184697 prime?
False
Is 6757 a composite number?
True
Is 58601 a composite number?
False
Is 157259 composite?
False
Is 16327 a composite number?
True
Is 664949 a composite number?
False
Is 221873 a prime number?
True
Is 70271 composite?
False
Is 1357 a prime number?
False
Is 126281 composite?
True
Is 378139 a composite number?
True
Is 28687 prime?
True
Is 44335 a prime number?
False
Is 710659 composite?
True
Is 61121 composite?
False
Is 21313 a prime number?
True
Is 2237 composite?
False
Is 173371 composite?
True
Is 198083 a composite number?
False
Is 31546 composite?
True
Is 571447 a prime number?
False
Is 26711 composite?
False
Is 23711 a prime number?
False
Is 17179 prime?
False
Is 8641 prime?
True
Is 21211 a prime number?
True
Is 108331 prime?
False
Is 194177 a composite number?
True
Is 489 prime?
False
Is 206665 a prime number?
False
Is 2149 composite?
True
Is 240457 a prime number?
False
Is 710717 a prime number?
False
Is 11251 a prime number?
True
Is 24659 composite?
False
Is 11441 a prime number?
False
Is 122443 a prime number?
True
Is 617377 a prime number?
False
Is 646957 prime?
True
Is 40423 a prime number?
True
Is 8999 a prime number?
True
Is 1451351 a composite number?
True
Is 649113 a prime number?
False
Is 395659 a composite number?
True
Is 498331 a prime number?
True
Is 13771 prime?
False
Is 1178549 a prime number?
True
Is 187309 a composite number?
True
Is 24359 a prime number?
True
Is 21181 a prime number?
False
Is 68371 prime?
True
Is 3261 prime?
False
Is 1061 composite?
False
Is 20467 prime?
False
Is 1243 a composite number?
True
Is 101017 composite?
True
Is 19111 a prime number?
False
Is 161029 a composite number?
True
Is 9649 prime?
True
Is 54019 a prime number?
False
Is 62347 prime?
True
Is 6387 a prime number?
False
Is 7283 a prime number?
True
Is 12343 a composite number?
False
Is 29031 prime?
False
Is 950111 a composite number?
False
Is 9059 a composite number?
False
Is 228493 composite?
True
Is 13517 a composite number?
True
Is 559941 composite?
True
Is 50357 a composite number?
True
Is 1963 composite?
True
Is 1213 prime?
True
Is 158293 a prime number?
True
Is 12479 a composite number?
False
Is 55147 a prime number?
True
Is 112835 prime?
False
Is 335261 a prime number?
True
Is 5637 composite?
True
Is 374159 a composite number?
False
Is 2879 composite?
False
Is 775189 a composite number?
False
Is 186841 prime?
True
Is 4499 a composite number?
True
Is 1259 a composite number?
False
Is 117057 a prime number?
False
Is 426922 composite?
True
Is 1419601 composite?
True
Is 663829 prime?
False
Is 4561 a prime number?
True
Is 9529 a prime number?
False
Is 79733 a composite number?
True
Is 24133 a composite number?
False
Is 212501 a prime number?
True
Is 145891 prime?
False
Is 151667 a prime number?
True
Is 388097 a composite number?
True
Is 80611 a prime number?
True
Is 251 a composite number?
False
Is 121881 composite?
True
Is 33805 a composite number?
True
Is 3953 a prime number?
False
Is 5209 a composite number?
False
Is 483023 a prime number?
False
Is 42433 a composite number?
False
Is 769 a prime number?
True
Is 74021 a composite number?
False
Is 40459 a prime number?
True
Is 950203 a composite number?
True
Is 3521 a composite number?
True
Is 341147 a composite number?
True
Is 2776045 a prime number?
False
Is 2291 prime?
False
Is 58829 a composite number?
True
Is 612439 a prime number?
True
| {
"pile_set_name": "DM Mathematics"
} |
-6
Let b(i) = 5 + 1 - 2 + 2*i. Let y(q) be the second derivative of q**3/6 + 5*q**2/2 - q. Let f(n) = -2*b(n) + 3*y(n). What is f(5)?
2
Let y(q) = q**3 - 7*q**2 + 6*q + 3. Let a be ((-9)/5)/(57/10 + -6). Calculate y(a).
3
Suppose h + 0*h = 5. Suppose -3*q + 4*o - 12 = -h*q, -q - 3*o + 8 = 0. Suppose -q*g - 16 = 2*g. Let b(d) = -d**3 - 4*d**2 - 3*d - 5. Give b(g).
7
Suppose -5*n + 4*t = -84, -4*n - 4*t + 82 + 14 = 0. Let u be n/(-6)*15/10. Let l(o) = -o - 6. Calculate l(u).
-1
Let m(r) be the first derivative of -r**3/3 + 4*r - 15. What is m(-3)?
-5
Let o(p) = p**2 + 6*p - 4. Let n = -15 + 6. Let r = -14 - n. Determine o(r).
-9
Let c(d) = -d + 1. Suppose -21*p - 4 = -19*p. Calculate c(p).
3
Let n = 1 + -1. Let q be (1 - n)/(3/9). Let i(l) = -3 + q + 1 + 2*l. Determine i(-1).
-1
Let v = -3 - 1. Let x = 4 + v. Let o(j) = -j**3 + j**2 + 4. Give o(x).
4
Let t(w) be the first derivative of -w**3/2 + 3*w**2/2 - 4*w - 2. Let u(m) be the first derivative of t(m). Give u(5).
-12
Let f(j) = 4*j + 3. Let s be 5 - (-2)/(-4)*4. Suppose 0 = -s*a - 27 + 9. Let n(y) = -y - 8. Let d be n(a). Determine f(d).
-5
Let k(x) be the third derivative of x**8/1344 - x**7/1260 + x**5/120 + x**4/12 - 3*x**2. Let w(a) be the second derivative of k(a). What is w(1)?
4
Let j(y) = -5*y**2 + 34 - 3*y - y**3 - 28 - y**2. Let c(o) = -2*o**2 - 5*o - 2. Suppose -6 = x - f, 7*f = -4*x + 3*f. Let w be c(x). Determine j(w).
-4
Let w(i) = -3*i**2 - 2*i - 1. Let s(o) = -16*o**2 - 9*o - 4. Let h(t) = -2*s(t) + 11*w(t). Let v be h(-3). Let l(n) = 0*n - n + v - 1. Calculate l(1).
-2
Let y(u) be the first derivative of -3 + 0*u + 0*u**2 + 1/3*u**3 - 5/2*u**4. Give y(1).
-9
Let j(b) = -b - 9. Let l(m) = -2*m - 17. Let o(c) = 5*j(c) - 2*l(c). What is o(-7)?
-4
Let w(f) = -272 + 272 - f. Give w(0).
0
Suppose 3*c + 0*c = -12. Let a(r) = 2*r**2 + r + 8. Let b(p) = 3*p**2 + 8. Let o(w) = c*a(w) + 3*b(w). Determine o(6).
4
Suppose -3*z - b - 25 = 0, 4*b + 3 = 4*z + 31. Let c = z - -10. Let o(a) = 3*a - 2. What is o(c)?
4
Suppose -2*x + 2 = 5*a - 1, 0 = -2*x + 8. Let j = -3 + a. Let h(z) = z**2 + 4*z - 1. What is h(j)?
-1
Let a(o) be the third derivative of 1/24*o**4 + 3*o**2 + 0*o + 1/6*o**3 + 0. Give a(4).
5
Let r(t) be the second derivative of t**4/12 - t**3/6 - t**2/2 - 13*t. Determine r(-1).
1
Let v(u) = -4*u**3 + 5*u + 4. Let o(h) = 5*h**3 + h**2 - 6*h - 4. Let p(l) = -3*o(l) - 4*v(l). Suppose 5*w + 0*k = 3*k + 29, -5*w + k = -23. Determine p(w).
4
Let u(q) = -2*q + 3. Let b(i) = -2*i + 2. Let w(z) = -6*b(z) + 7*u(z). Calculate w(9).
-9
Let k = -8 + 13. Suppose -2*t - 6 = -3*r - 3, -2*r - 9 = -k*t. Let f(s) = 2*s**2 - 4*s + 2. What is f(t)?
8
Let g(o) = -o**2. Let q(i) = -8*i**2 - 3*i - 2. Let z(f) = 5*g(f) - q(f). Calculate z(-2).
8
Let y = -44 + 48. Let m(u) = -3*u + 0 - u + u**2 + 5. Determine m(y).
5
Suppose 4*p = -2*i + 28, p - 5*i = -2*p - 5. Let j(s) = -s**2 + 5*s - 6. Calculate j(p).
-6
Suppose -4*w = -2*z - 14, -w + 0 - 1 = z. Let b(u) = -5 + 3 - w*u + u**2 + 1 - 2. Determine b(4).
5
Let p(h) be the third derivative of -h**6/120 - h**5/30 - h**4/24 - 3*h**2. Determine p(-2).
2
Let s(p) be the first derivative of -p**3/3 + 3*p**2/2 - 3*p + 9. Determine s(4).
-7
Let s(o) be the first derivative of o**3/3 - 7*o**2/2 + o + 5. Determine s(3).
-11
Let f(b) = -b**2 + b + 4. Suppose 3*z + 15 = w, -w + 5*z = -4*w + 45. Suppose 12*p - 17*p + w = 0. What is f(p)?
-2
Suppose 6 = f + 3. Let r(p) be the third derivative of 1/60*p**5 + 0*p - 1/3*p**3 - 7*p**2 - 1/6*p**4 + 0. Calculate r(f).
-5
Let b(o) = -o - 753 + 751 - 5*o**2 + 0*o**2. Calculate b(-2).
-20
Let j be (-14)/2*(-1)/1. Let b = j - 7. Suppose 0 = -b*n + 3*n - 12. Let h(s) = s**2 - 4*s + 2. Give h(n).
2
Let h be 12/2*(0 + 1). Let w(b) = 5*b - 2. Let o(t) = -4*t + 1. Let v(i) = -6*o(i) - 5*w(i). Give v(h).
-2
Let t(n) = 6*n - 2. Let b be t(2). Suppose 3*u = -b - 5. Let o(w) = w**3 + 5*w**2 - w + 3. What is o(u)?
8
Let d(g) be the second derivative of -g**4/6 + 2*g**3/3 - g**2/2 + 6*g + 6. What is d(3)?
-7
Let i(c) = c - 1. Let f(x) = x - 1. Let g(m) = -5*f(m) + 3*i(m). Let n(p) = p**3 + 3*p**2 - 6*p - 3. Let y be n(-4). Give g(y).
-8
Let k(x) be the second derivative of x**5/20 + x**4/2 + 2*x**3/3 - 2*x**2 - 7*x. What is k(-5)?
1
Let o(i) = -i**2 + i**2 - 7*i**2 + i - 2*i. What is o(1)?
-8
Let f(t) = 0*t**2 - 2*t + t**2 + 1 + 8*t. Let g(d) = -2*d**2 + d + 1. Let z = -1 - -3. Let s be g(z). Determine f(s).
-4
Let j = -8 - -12. Suppose 3*x = 2*x, 5*w - j*x = 0. Suppose -u + w = 2. Let k(g) = g**3 + g**2 - g + 1. Determine k(u).
-1
Let h(q) be the first derivative of -3*q + 2 + 1/3*q**3 - 1/2*q**2. Give h(0).
-3
Suppose -2*g = 3*x + 2*g - 18, -x = -4*g + 10. Suppose -1 = -3*f + x. Let u(q) = -4*q**3 + q**2 - 2*q + 1. Calculate u(f).
-4
Let v = 108 + -113. Let j(f) = f + 1. Let a(z) = -4*z + 3. Let d(r) = -a(r) - 5*j(r). Give d(v).
-3
Let h(r) = r**2 + 4*r. Let o(l) = 5*l**3 + l**2 - l - 2. Let y be o(-1). Give h(y).
5
Let a(d) = -d**3 - 4*d**2 + 5*d + 3. Let l(q) = -q**3 + 5*q**2 - 3*q - 2. Let y be l(4). Suppose -13 = -y*s - 3*z + 7, 0 = -3*z + 6. Let j = s + -12. Give a(j).
3
Suppose 14 = 3*x - 7. Let y(m) = -2*m + 3 + m**2 + x*m + 0*m + 2. Calculate y(-6).
11
Let q(r) be the first derivative of 0*r**3 - 1/60*r**5 - 3/2*r**2 + 0*r**4 - 3 + 0*r. Let i(h) be the second derivative of q(h). Determine i(-1).
-1
Let z = -9 - -15. Let l(m) = -m + 5. What is l(z)?
-1
Let r(u) be the third derivative of -u**7/5040 - u**5/60 + 5*u**2. Let t(j) be the third derivative of r(j). Calculate t(4).
-4
Suppose -2*u + 11*u - 27 = 0. Suppose 2*g + 5*m - 23 = g, g + 1 = m. Let o(x) = x**u - g + 3 + 2*x**2 - x**2. Calculate o(-2).
-4
Suppose -4 = -4*s - 0*s. Let y(z) = 7*z. Calculate y(s).
7
Let w(g) = g**3 + 5*g**2 - 3. Let v be -1 - (-4)/2*-1. Let k be 1 + -1*(2 + v). Let u be -5*(k/(-2) - -2). Give w(u).
-3
Let y(k) = -k**2 - 5*k + 0*k**2 + 3 - 5 + 0. Let s be y(-3). Let j(n) = -n**3 + 5*n**2 - n - 1. Give j(s).
11
Suppose -4*c = -3*f - 24, 5*c - 4 + 1 = -3*f. Suppose 0 = -t + c*o + 6, 4*t = -2*o - 1 - 3. Let i(l) = 2*l + 1 - 2 + t*l. Give i(-2).
-5
Let c(z) = -2*z - 2*z + 3*z**2 - 4*z**2 - z - 3. Let t = -3 + 6. Suppose 16 = -7*q + t*q. Give c(q).
1
Suppose 2*j - 6 + 18 = 2*m, 0 = m. Let f(y) = -2*y + 1. What is f(j)?
13
Let m(o) = o**3 - 3*o**2 + 0 - 4 - 2*o**3 - 5*o - o**2. Give m(-3).
2
Suppose 2*h = -0*h + g + 5, 5 = -g. Let n(b) be the second derivative of -1/3*b**3 + h + 3/2*b**2 + 2*b. What is n(4)?
-5
Let m(n) be the first derivative of -n**3/3 - 2*n**2 + 2*n + 1. Suppose 0 = 13*a - 18*a - 20. Determine m(a).
2
Let z(d) = 5*d**3 + 1. Suppose -3*v - 2*c = 1, 0 = -3*v - 2*c + 3*c - 4. Determine z(v).
-4
Let m(k) = k - 4. Let i(w) = -3*w - 6. Let a be i(-4). Let x be (-7)/(-2) - a/12. Suppose 8*h - x*h = 0. Determine m(h).
-4
Let u be (-3)/((-21)/(-6) + -2). Let z = -1 - u. Let h(a) = z - 6*a - 7*a**3 + 6*a. Give h(1).
-6
Let g(x) = -x**3 - 4*x**2 + x + 1. Suppose -2*q - 6 = -2*k, 5*k - 6 - 1 = 3*q. Determine g(q).
-3
Let p(n) be the first derivative of -4*n - 1/4*n**4 - 5/3*n**3 - 5/2*n**2 + 3. Calculate p(-3).
-7
Let u(x) = 9*x**3 - 7*x**2 - 9*x + 19. Let g(i) = -4*i**3 + 3*i**2 + 4*i - 9. Let m(o) = -13*g(o) - 6*u(o). Determine m(3).
-18
Suppose 5*i + 0*s - 52 = 4*s, -5 = -i - s. Let x(y) = -y**2 + 7*y + 9. Calculate x(i).
1
Let n(y) = y - 1. Let t be (-11)/(-3) + 1/3. Suppose 3 = -t*w - 3*z - 20, 4*z + 28 = -4*w. What is n(w)?
-3
Let v(m) = m**3 - m**2 - m. Let t = -2 - -4. Give v(t).
2
Suppose 0 = -p - 2*p + 6. Let z(o) = -32*o**2 + 17*o**p + 19*o**2. Give z(1).
4
Let d(z) = z**3 - 6*z**2 + 5*z + 2. Let r be ((-6)/(-1))/(6/8). Let n(o) = -r*o + 7*o + 2*o. Let a be n(5). Calculate d(a).
2
Let h(s) = -s + 8. Let q(l) = 4*l - 34. Let n(b) = 9*h(b) + 2*q(b). What is n(6)?
-2
Let y(m) be the third derivative of m**7/840 - m**6/60 + m**5/30 - m**4/24 + m**3 - 3*m**2. Let b(h) be the first derivative of y(h). Calculate b(5).
-6
Let i(t) be the third derivative of 1/60*t**5 + 0*t - 5/24*t**4 + 0 + t**2 + 7/6*t**3. Let v = 1019 - 1014. Give i(v).
7
Let p(k) = -k**3 + 7*k**2 + k - 3. Let f be p(7). Let u(y) = y + 2. Let q(s) = 2*s + 3. Let b(t) = 3*q(t) - 5*u(t). What is b(f)?
3
Let y(l) = 2*l**2 - 6*l + 4. Let d be y(4). Let g = d + -8. Let o(f) = | {
"pile_set_name": "DM Mathematics"
} |
0.
153
Calculate the remainder when 1461 is divided by 485.
6
What is the remainder when 30989 is divided by 17?
15
Calculate the remainder when 18367 is divided by 428.
391
What is the remainder when 860 is divided by 59?
34
Calculate the remainder when 3247 is divided by 1607.
33
What is the remainder when 2856 is divided by 779?
519
What is the remainder when 481602 is divided by 53?
44
Calculate the remainder when 36197 is divided by 115.
87
What is the remainder when 356194 is divided by 35?
34
What is the remainder when 16111 is divided by 5365?
16
What is the remainder when 96482 is divided by 23?
20
What is the remainder when 74384 is divided by 1813?
51
What is the remainder when 116506 is divided by 40?
26
What is the remainder when 405 is divided by 162?
81
What is the remainder when 156 is divided by 118?
38
What is the remainder when 20455 is divided by 525?
505
Calculate the remainder when 153290 is divided by 29.
25
What is the remainder when 943 is divided by 366?
211
What is the remainder when 11942033 is divided by 13?
12
Calculate the remainder when 13649 is divided by 99.
86
What is the remainder when 19030 is divided by 4573?
738
What is the remainder when 850 is divided by 78?
70
What is the remainder when 102323 is divided by 2177?
4
What is the remainder when 4983 is divided by 89?
88
Calculate the remainder when 10199 is divided by 14.
7
What is the remainder when 180455 is divided by 5821?
4
Calculate the remainder when 2170 is divided by 357.
28
What is the remainder when 375038 is divided by 125010?
8
What is the remainder when 545668 is divided by 60?
28
What is the remainder when 66065 is divided by 286?
285
Calculate the remainder when 3593477 is divided by 44.
41
What is the remainder when 2363125 is divided by 1705?
1700
What is the remainder when 25330 is divided by 8428?
46
What is the remainder when 8360 is divided by 4142?
76
Calculate the remainder when 927 is divided by 448.
31
Calculate the remainder when 16071 is divided by 27.
6
Calculate the remainder when 87029 is divided by 294.
5
What is the remainder when 1202199 is divided by 246?
243
Calculate the remainder when 779 is divided by 259.
2
Calculate the remainder when 18282 is divided by 18088.
194
What is the remainder when 319460 is divided by 136?
132
What is the remainder when 45862 is divided by 56?
54
Calculate the remainder when 24291 is divided by 17.
15
What is the remainder when 260089 is divided by 32510?
9
What is the remainder when 1196761 is divided by 153?
148
What is the remainder when 68499 is divided by 170?
159
Calculate the remainder when 690153 is divided by 684.
681
What is the remainder when 101585 is divided by 72?
65
What is the remainder when 34240 is divided by 17118?
4
Calculate the remainder when 65009 is divided by 2.
1
Calculate the remainder when 9251 is divided by 143.
99
Calculate the remainder when 9034 is divided by 368.
202
Calculate the remainder when 6127 is divided by 3056.
15
What is the remainder when 9066 is divided by 346?
70
Calculate the remainder when 4528 is divided by 565.
8
Calculate the remainder when 5775 is divided by 5683.
92
Calculate the remainder when 45891 is divided by 154.
153
Calculate the remainder when 13175 is divided by 1459.
44
Calculate the remainder when 1761 is divided by 164.
121
Calculate the remainder when 45648 is divided by 5067.
45
Calculate the remainder when 73534 is divided by 238.
230
What is the remainder when 61712 is divided by 10281?
26
Calculate the remainder when 221522 is divided by 397.
393
Calculate the remainder when 26566 is divided by 46.
24
Calculate the remainder when 1903375 is divided by 337.
336
What is the remainder when 285301 is divided by 162?
19
Calculate the remainder when 108499 is divided by 30.
19
What is the remainder when 1719491 is divided by 573160?
11
What is the remainder when 3120 is divided by 898?
426
Calculate the remainder when 1337 is divided by 98.
63
What is the remainder when 111101 is divided by 224?
221
What is the remainder when 12999 is divided by 174?
123
What is the remainder when 23528 is divided by 2351?
18
What is the remainder when 846 is divided by 696?
150
What is the remainder when 11780 is divided by 236?
216
Calculate the remainder when 4901 is divided by 264.
149
Calculate the remainder when 487 is divided by 29.
23
Calculate the remainder when 279567 is divided by 93189.
0
What is the remainder when 3828 is divided by 1418?
992
Calculate the remainder when 2882 is divided by 60.
2
What is the remainder when 47015 is divided by 11750?
15
What is the remainder when 5552 is divided by 161?
78
What is the remainder when 137 is divided by 31?
13
Calculate the remainder when 737 is divided by 179.
21
Calculate the remainder when 51305 is divided by 16.
9
Calculate the remainder when 227093 is divided by 6.
5
What is the remainder when 48631 is divided by 412?
15
Calculate the remainder when 3500 is divided by 414.
188
What is the remainder when 12349 is divided by 1050?
799
Calculate the remainder when 79866 is divided by 79862.
4
What is the remainder when 614588 is divided by 291?
287
Calculate the remainder when 124116 is divided by 580.
576
Calculate the remainder when 4128 is divided by 143.
124
Calculate the remainder when 9072 is divided by 231.
63
What is the remainder when 6414 is divided by 403?
369
What is the remainder when 5911 is divided by 532?
59
What is the remainder when 685860 is divided by 38?
36
What is the remainder when 351849 is divided by 117280?
9
Calculate the remainder when 32337 is divided by 19.
18
Calculate the remainder when 4313 is divided by 21.
8
What is the remainder when 1677 is divided by 58?
53
Calculate the remainder when 1317 is divided by 266.
253
What is the remainder when 2716 is divided by 736?
508
What is the remainder when 26700 is divided by 329?
51
Calculate the remainder when 26887 is divided by 9.
4
Calculate the remainder when 21837 is divided by 187.
145
Calculate the remainder when 2850 is divided by 421.
324
Calculate the remainder when 3110 is divided by 620.
10
What is the remainder when 109073 is divided by 42?
41
What is the remainder when 977 is divided by 310?
47
Calculate the remainder when 1390 is divided by 1341.
49
What is the remainder when 4651 is divided by 71?
36
What is the remainder when 2416 is divided by 690?
346
Calculate the remainder when 34 is divided by 19.
15
Calculate the remainder when 292285 is divided by 146140.
5
What is the remainder when 33279 is divided by 21?
15
Calculate the remainder when 5976 is divided by 2987.
2
What is the remainder when 146909 is divided by 209?
191
Calculate the remainder when 831267 is divided by 19.
17
What is the remainder when 73427 is divided by 765?
752
Calculate the remainder when 389789 is divided by 35.
29
Calculate the remainder when 660 is divided by 4.
0
What is the remainder when 510637 is divided by 510634?
3
Calculate the remainder when 1324 is divided by 241.
119
What is the remainder when 85418 is divided by 1220?
18
What is the remainder when 2570 is divided by 1279?
12
Calculate the remainder when 17170 is divided by 349.
69
What is the remainder when 38482 is divided by 34?
28
Calculate the remainder when 960405 is divided by 18.
15
What is the remainder when 2333 is divided by 36?
29
Calculate the remainder when 4985 is divided by 1611.
152
Calculate the remainder when 56198 is divided by 114.
110
Calculate the remainder when 87715 is divided by 76.
11
Calculate the remainder when 374286 is divided by 1709.
15
Calculate the remainder when 3297 is divided by 332.
309
Calculate the remainder when 14349 is divided by 171.
156
What is the remainder when 6563 is divided by 559?
414
What is the remainder when 19109 is divided by 47?
27
Calculate the remainder when 2339 is divided by 490.
379
Calculate the remainder when 142408 is divided by 98.
14
Calculate the remainder when 6877 is divided by 642.
457
What is the remainder when 954790 is divided by 1068?
1066
Calculate the remainder when 6091 is divided by 2028.
7
What is the remainder when 1047 is divided by 338?
33
What is the remainder when 4432 is divided by 20?
12
Calculate the remainder when 251269 is divided by 3750.
19
Calculate | {
"pile_set_name": "DM Mathematics"
} |
acement from {y: 6, z: 2, u: 4, b: 1, o: 3}. Give prob of picking 3 y.
1/28
Four letters picked without replacement from {o: 1, k: 2, u: 5, q: 1, z: 9}. What is prob of picking 4 u?
1/612
Three letters picked without replacement from {t: 9, h: 4, s: 4}. Give prob of picking 3 h.
1/170
Three letters picked without replacement from wqqwqwqqqq. What is prob of picking 3 q?
7/24
Two letters picked without replacement from {t: 5, d: 4, a: 3}. Give prob of picking 2 d.
1/11
Calculate prob of picking 1 v and 3 t when four letters picked without replacement from suvttslltlllst.
4/1001
Two letters picked without replacement from llxllbxxtbbbbblbtlb. What is prob of picking 1 x and 1 b?
8/57
Calculate prob of picking 1 g and 1 t when two letters picked without replacement from ttggggtgggg.
24/55
Calculate prob of picking 2 t and 2 c when four letters picked without replacement from {r: 6, c: 3, t: 6}.
3/91
What is prob of picking 2 s when two letters picked without replacement from aaaosasassasssssssa?
55/171
Three letters picked without replacement from {h: 7, q: 2, f: 3, b: 3, z: 4}. What is prob of picking 1 q and 2 f?
2/323
Three letters picked without replacement from tftfffnnftptfffttftf. Give prob of picking 1 t, 1 f, and 1 n.
7/57
What is prob of picking 3 b when three letters picked without replacement from {b: 3, p: 1, n: 4}?
1/56
Calculate prob of picking 1 g and 1 l when two letters picked without replacement from {t: 1, g: 1, l: 1}.
1/3
Three letters picked without replacement from {s: 2, o: 2, k: 1, i: 1, n: 4}. What is prob of picking 1 s, 1 n, and 1 k?
1/15
Two letters picked without replacement from {e: 1, u: 3, s: 3}. Give prob of picking 1 e and 1 s.
1/7
Calculate prob of picking 1 j and 2 q when three letters picked without replacement from {q: 2, n: 1, b: 5, j: 1, c: 3}.
1/220
Calculate prob of picking 2 r and 1 t when three letters picked without replacement from wttttttrtrttttrtt.
39/680
What is prob of picking 1 e and 1 n when two letters picked without replacement from {e: 5, t: 4, n: 1}?
1/9
Calculate prob of picking 4 n when four letters picked without replacement from {h: 7, n: 12}.
165/1292
Calculate prob of picking 1 o and 2 i when three letters picked without replacement from {i: 2, z: 1, o: 1}.
1/4
Calculate prob of picking 1 d and 1 u when two letters picked without replacement from uuduuuuuuuuduudduuuu.
32/95
What is prob of picking 1 t and 1 l when two letters picked without replacement from tlllllllltl?
18/55
What is prob of picking 2 i when two letters picked without replacement from {y: 1, s: 10, i: 7}?
7/51
Calculate prob of picking 3 y when three letters picked without replacement from {x: 2, k: 1, y: 5, b: 2, h: 2, m: 1}.
5/143
Four letters picked without replacement from dlddldd. What is prob of picking 3 d and 1 l?
4/7
Three letters picked without replacement from {x: 1, f: 1, y: 2, z: 1}. What is prob of picking 1 f and 2 y?
1/10
What is prob of picking 1 e and 3 i when four letters picked without replacement from ieiiiiiiiiiiiiiiiii?
4/19
Four letters picked without replacement from jgnjggknnjijgkgjkj. Give prob of picking 4 j.
1/204
Three letters picked without replacement from fsmmeeevfeeffvffefe. What is prob of picking 3 e?
35/969
Calculate prob of picking 1 k, 1 n, and 1 s when three letters picked without replacement from sknnnkkn.
3/14
Three letters picked without replacement from gbbbfgbgbgggbggggg. Give prob of picking 3 g.
55/272
What is prob of picking 2 m when two letters picked without replacement from {m: 3, b: 4}?
1/7
Two letters picked without replacement from {k: 1, w: 2, i: 1, r: 1}. What is prob of picking 1 k and 1 w?
1/5
Three letters picked without replacement from {v: 5}. Give prob of picking 3 v.
1
Four letters picked without replacement from tedsgmet. Give prob of picking 1 m, 2 e, and 1 t.
1/35
Two letters picked without replacement from hhhiiaqmqq. Give prob of picking 1 a and 1 h.
1/15
What is prob of picking 4 e when four letters picked without replacement from eeeeeee?
1
Two letters picked without replacement from wjjjjrejejwwwrjjwwj. Give prob of picking 2 e.
1/171
Two letters picked without replacement from {z: 2, x: 1, f: 3, h: 3, d: 1}. What is prob of picking 2 h?
1/15
What is prob of picking 1 e and 1 j when two letters picked without replacement from jet?
1/3
Two letters picked without replacement from {x: 5, g: 2, e: 1, a: 2, q: 10}. Give prob of picking 1 a and 1 g.
2/95
Three letters picked without replacement from nnunnnnnnnnuunn. What is prob of picking 3 n?
44/91
Four letters picked without replacement from xxkkkkxxkxkxkkkxxkx. What is prob of picking 1 k and 3 x?
70/323
Calculate prob of picking 1 v and 1 q when two letters picked without replacement from qvcsvcveqqk.
9/55
Three letters picked without replacement from {k: 6, w: 4}. Give prob of picking 2 k and 1 w.
1/2
What is prob of picking 2 z when two letters picked without replacement from tlzgizcg?
1/28
What is prob of picking 3 j when three letters picked without replacement from {j: 3, n: 4}?
1/35
Three letters picked without replacement from qjfjjjjjjqjfjfqjjjj. Give prob of picking 1 q and 2 j.
78/323
What is prob of picking 3 u when three letters picked without replacement from uuu?
1
Two letters picked without replacement from {r: 4, s: 6, b: 9}. What is prob of picking 2 s?
5/57
Calculate prob of picking 2 n and 1 j when three letters picked without replacement from jbbbnbn.
1/35
What is prob of picking 1 b, 2 r, and 1 c when four letters picked without replacement from crcscbcmrrc?
1/22
Four letters picked without replacement from xxsxssettxsdesetede. What is prob of picking 1 x and 3 s?
10/969
Calculate prob of picking 1 n and 1 z when two letters picked without replacement from iaaaazznuanaunaaba.
2/51
Four letters picked without replacement from llwxl. What is prob of picking 3 l and 1 x?
1/5
Three letters picked without replacement from {w: 4, f: 8, s: 5}. What is prob of picking 1 s and 2 f?
7/34
Two letters picked without replacement from vjvjwvjvzvvvjzvv. What is prob of picking 1 j and 1 w?
1/30
Calculate prob of picking 1 t, 1 f, and 2 e when four letters picked without replacement from {s: 2, m: 4, e: 2, f: 1, t: 3}.
1/165
Two letters picked without replacement from kjftr. Give prob of picking 1 k and 1 t.
1/10
Three letters picked without replacement from yygygyyyyyyy. Give prob of picking 3 y.
6/11
Two letters picked without replacement from bkabtkxtbt. Give prob of picking 1 t and 1 x.
1/15
Four letters picked without replacement from {e: 2, l: 6, m: 1, u: 3}. What is prob of picking 1 m and 3 l?
4/99
Two letters picked without replacement from {q: 1, i: 13, k: 1, l: 2}. Give prob of picking 2 i.
39/68
Three letters picked without replacement from {i: 2, f: 3, p: 8, k: 2, r: 2}. Give prob of picking 2 p and 1 k.
7/85
Calculate prob of picking 3 l and 1 o when four letters picked without replacement from {l: 9, o: 5}.
60/143
What is prob of picking 2 i and 2 c when four letters picked without replacement from {e: 1, f: 2, c: 10, i: 4}?
27/238
Calculate prob of picking 4 u when four letters picked without replacement from {k: 5, e: 1, i: 1, u: 4}.
1/330
Two letters picked without replacement from fffuffuhhfff. What is prob of picking 1 h and 1 u?
2/33
What is prob of picking 1 m and 1 x when two letters picked without replacement from {v: 1, x: 1, m: 1, j: 1, h: 1}?
1/10
Calculate prob of picking 1 p and 1 a when two letters picked without replacement from oaawwwwwweewyp.
2/91
What is prob of picking 1 v and 1 j when two letters picked without replacement from vjjjjwwddjjdvjvvvd?
35/153
Two letters picked without replacement from uyvyeyuyuyu. Give prob of picking 1 y and 1 u.
4/11
Four letters picked without replacement from ozzxxxexxzxoxzzzxx. Give prob of picking 1 x and 3 o.
0
What is prob of picking 3 s when three letters picked without replacement from {s: 6}?
1
What is prob of picking 1 r and 2 l when three letters picked without replacement from {l: 4, p: 5, r: 2}?
4/55
Four letters picked without replacement from bpvbbpzpzzbzpppb. What is prob of picking 1 z, 1 b, and 2 p?
15/91
What is prob of picking 1 l, 1 w, and 2 m when four letters picked without replacement from {i: 5, m: | {
"pile_set_name": "DM Mathematics"
} |
Let c(f) = 11*a(f) - 4*i(f). Calculate 2*c(l) + 11*o(l).
-l - 1
Let d(i) = 6*i - 20. Let p be d(2). Let b(g) = -5*g + 3. Let f(r) = -14*r + 9. What is p*b(n) + 3*f(n)?
-2*n + 3
Let x(k) = k. Let y(p) = 22*p**2 - 198*p. Determine -396*x(g) - 2*y(g).
-44*g**2
Let l(d) = 90*d**2 - 12*d + 12. Let t(y) = 36*y**2 - 5*y + 5. What is -5*l(i) + 12*t(i)?
-18*i**2
Let n(s) = -12*s - 8. Suppose 3*v - 17 = -2*u, -v = 3*v + 3*u - 23. Let k(m) = 8*m + 5. What is v*n(y) + 8*k(y)?
4*y
Let z(q) = q**3 + q**2 + 5*q - 5. Let d(s) = -s**3 - 2*s**2 - 8*s + 8. Let r be -4 + (-1 - -2)*-4. Determine r*z(h) - 5*d(h).
-3*h**3 + 2*h**2
Let l(c) = 9*c**3 + 5*c. Let h(u) = -11*u**2 - 1. Let i be h(-1). Let r(m) = -22*m**3 - 12*m. Give i*l(y) - 5*r(y).
2*y**3
Let q(i) = 2*i**2 - 18*i. Let x(w) = w. What is -q(s) + 3*x(s)?
-2*s**2 + 21*s
Let n(h) = -144*h**3 - 64. Let l(c) = -11*c**3 - 5. Give -64*l(g) + 5*n(g).
-16*g**3
Let o(p) = -11*p**3 - 11*p - 15. Let w(x) = -5*x**3 - 5*x - 7. Suppose -2*q = 3*q - 30. Let c be ((-4)/(-6) + 7/21)*-13. Calculate c*w(y) + q*o(y).
-y**3 - y + 1
Let j(i) = -4*i**2 - 6. Suppose 0 = -3*f + 4*u - 50, -f + 5*u = -0*f + 35. Let p be (4/f)/(10/(-25)). Let t(v) = v**2 + 1. Determine p*j(n) + 6*t(n).
2*n**2
Let s(v) = -10*v - 1 + v**2 + 6*v**3 - 4*v**3 + 9*v. Suppose 4*a + 5*j - 13 = 0, 3*a - 9 = -0*a - 3*j. Let f(r) = r**3 - r. What is a*s(h) - 2*f(h)?
2*h**3 + 2*h**2 - 2
Let f(a) = 48*a. Let n(g) = -12*g. Give 2*f(d) + 9*n(d).
-12*d
Let i(u) = 3*u**2 - 4*u - 2. Let w be 9/36*(-1 + 9). Let z(o) = -o. Let h(a) = a**2 + 3*a - 1. Let t(k) = h(k) + 4*z(k). Determine w*t(d) - i(d).
-d**2 + 2*d
Let k(y) = -y**2. Let p(h) = -20*h + 0*h**2 - 3*h**2 + 22*h + 4*h**2 + 1. What is -2*k(b) + p(b)?
3*b**2 + 2*b + 1
Let y(f) = 4*f - 3. Let x(w) = -2*w + 7. Let l(a) = -a + 4. Let c(n) = -5*l(n) + 3*x(n). What is -6*c(v) - 2*y(v)?
-2*v
Let p(s) = -5*s**3 - 2*s - 7. Let m(n) = -3*n**3 - n - 4. Let d = -1 - -6. Let f = 1 - d. Give f*p(i) + 7*m(i).
-i**3 + i
Let q(k) = 6*k**3 + 3*k**2 - 20. Let v = 73 + -79. Let w(z) = 2*z**3 + z**2 - 7. Give v*q(x) + 17*w(x).
-2*x**3 - x**2 + 1
Let i(q) = -q - 6. Let p(d) = 3. What is 2*i(s) + 5*p(s)?
-2*s + 3
Let i(z) = 27*z**2 - 12*z. Let y(l) = l**2 - 5*l - 12. Let g be y(5). Let j(b) = -11*b**2 + 5*b. Determine g*j(p) - 5*i(p).
-3*p**2
Let l(u) = -11 + 0 + u - 1. Let q(x) be the second derivative of x**4/24 + x**3/6 + x. Let v(p) be the second derivative of q(p). Determine -2*l(n) - 22*v(n).
-2*n + 2
Let b(i) = -3*i + 5. Let v(f) = -1. Let q be ((-5)/(-25))/(1/5). Determine q*b(r) + 5*v(r).
-3*r
Let s = -3 - -2. Let q(a) = -8*a**3 + 10*a**2 + 10. Let m(o) be the third derivative of -o**6/120 + o**5/60 + o**3/6 + 7*o**2. Calculate s*q(w) + 10*m(w).
-2*w**3
Let y(k) be the first derivative of 5*k**2/2 + 2. Suppose 4*g = 3*p + 29, p - 2*g + 8 + 1 = 0. Let i(w) = w. What is p*i(d) + 2*y(d)?
-d
Let i(g) = -5*g - 3. Let p be i(-4). Let t(j) = -6*j**2 + 2*j**2 + 73*j**3 - 5 - 77*j**3. Let y(d) = 11*d**3 + 11*d**2 + 14. What is p*t(a) + 6*y(a)?
-2*a**3 - 2*a**2 - 1
Let l be (-18)/(-15)*80/6. Suppose -c - 2*v = -3*c - 2, 3*c + 5*v = -19. Let j = c + 6. Let z(g) = 10*g - 26. Let b(q) = -2*q + 5. Give j*z(r) + l*b(r).
-2*r + 2
Let p(z) = 2*z**2 - 2*z - 3. Let o(r) = -4*r**2 + 5*r + 7. Give 4*o(a) + 9*p(a).
2*a**2 + 2*a + 1
Let p(h) = 14*h - 3. Let d(j) = 9*j - 2. Let o = 48 - 53. Determine o*p(u) + 8*d(u).
2*u - 1
Suppose -q + 2*u = -0*q + 10, 4*q + 18 = -3*u. Let c be (8 - -1) + q/3. Let o(n) = -2*n**2 + n + 3. Let h(p) = -5*p**2 + 3*p + 7. Give c*o(a) - 3*h(a).
a**2 - 2*a
Let r(n) = 5*n - 6. Let t(d) = -11*d + 13. Suppose 5*q + 54 = -3*b, -2*b = -2*q - 2*q + 14. Give b*r(c) - 6*t(c).
c
Let h(z) = 3*z. Suppose 2*s + 3*j + 9 = 0, -s + 2*s - 8 = j. Let m(t) = -4*t - 1. Give s*h(f) + 2*m(f).
f - 2
Let u(o) = 2*o**2 + 2*o. Let i(y) = -2*y**2 - 3*y - 1. Give -4*i(z) - 5*u(z).
-2*z**2 + 2*z + 4
Let f(i) = -6*i**3 + i - 2. Let b(y) be the second derivative of 7*y**5/20 - y**3/6 + y**2 - 8*y. Determine -4*b(w) - 5*f(w).
2*w**3 - w + 2
Let u(i) = -6*i**2 - 27*i. Let p(a) = -a**2. What is 4*p(h) - u(h)?
2*h**2 + 27*h
Let i(z) = -2*z + 2. Let w(h) = h + 1. Let q(c) = -3*c - 1. Let u(f) = -q(f) - 2*w(f). What is -4*i(a) - 7*u(a)?
a - 1
Let i(v) = 3*v**2 - 2*v - 22. Let r(s) = 7*s**2 - 5*s - 43. Determine -5*i(p) + 2*r(p).
-p**2 + 24
Let n(x) = 7*x + 4. Let p = -37 + 33. Let u(l) = 48*l + 27. What is p*u(g) + 27*n(g)?
-3*g
Let u(n) = -8*n**2 + 4*n. Let s(p) = p**2 - p. Calculate 6*s(v) + u(v).
-2*v**2 - 2*v
Let c(d) = -d + 1. Let h(u) = u. Let o(k) = c(k) + 2*h(k). Let n(t) = -5*t - 6. Suppose 13 = -5*v + 3. Calculate v*n(m) - 11*o(m).
-m + 1
Let w(a) = -12 - 4*a**2 + 12 - 3*a. Let d(t) = -5*t**2 - 4*t. What is 3*d(h) - 4*w(h)?
h**2
Let m(u) = -11*u - 5. Let q(x) = -22*x - 9. Calculate -5*m(f) + 3*q(f).
-11*f - 2
Let p(v) = 4*v**3 - 5*v**2 - v. Let t(i) = -13*i**3 + 16*i**2 + 3*i. Determine 7*p(n) + 2*t(n).
2*n**3 - 3*n**2 - n
Let u(q) = -8*q**3 - 6*q**2 - 6*q - 4. Let z be ((-3)/9)/((-3)/153). Let i(r) = -23*r**3 - 17*r**2 - 17*r - 11. What is z*u(h) - 6*i(h)?
2*h**3 - 2
Let r(j) = 5*j**2 + 4*j + 4. Let x(d) = -45*d**2 - 35*d - 35. Calculate 35*r(y) + 4*x(y).
-5*y**2
Let h(m) = -m**2 + 3*m + 2. Let k(a) = 3*a**2 - 12*a - 9. What is -9*h(b) - 2*k(b)?
3*b**2 - 3*b
Let a(j) = 8*j - 5. Suppose 2*k = 14 - 4. Let q(n) = 7*n - 4. Give k*q(u) - 4*a(u).
3*u
Let b(u) = -3 + u**3 - 2 + 3*u**3. Let a(j) = -j**3 + 7*j**2 - j + 6. Suppose -2 - 5 = -f. Let q be a(f). Let k(h) = -h**3 + 1. What is q*b(l) - 5*k(l)?
l**3
Let j(a) = -17*a**3 - 6*a - 6. Let t(b) = -35*b**3 - 13*b - 13. Give 13*j(u) - 6*t(u).
-11*u**3
Let k(y) be the second derivative of 3/20*y**5 + 0 + 0*y**2 - 1/12*y**4 - 2*y + 1/2*y**3. Let n(j) = -4*j**3 + 2*j**2 - 4*j. Determine -3*k(i) - 2*n(i).
-i**3 - i**2 - i
Let h(q) = -5 + 5 - 1 + 4*q - 2. Let r(w) = -9*w + 6. What is -13*h(u) - 6*r(u)?
2*u + 3
Let i(a) = a - 16. Let z(j) = 3*j - 31. Calculate -5*i(p) + 2*z(p).
p + 18
Let i(b) = -11*b. Let a(z) = 10*z. Calculate 4*a(k) + 3*i(k).
7*k
Let b(h) = -2*h**2. Let v(d) = -d**2 + 1. Let p(g) = -4*g**2 + 5. Let o(q) = -p(q) + 5*v(q). Determine -3*b(j) + 3*o(j).
3*j**2
Let a(u) = -13*u**3 - 3*u**2 - 3*u. Let p(m) = -12*m**3 - 2*m**2 - 2*m. Give 4*a(c) - 5*p(c).
8*c**3 - 2*c**2 - 2*c
Let b(i) be the first derivative of -4*i + 2 + 0*i**2 + 7/6*i**3. Let m(g) be the first derivative of b(g). Let s(a) = 4*a. Determine -6*m(v) + 10*s(v).
-2*v
Let a(b) = -b**2 + 24*b - 25. Let f be a(23). Let j(m) = 6*m**3 + 4*m - 11. Let z(q) = q**3 + q - 2. What is f*j(r) + 11*z(r)?
-r**3 + 3*r
Let r(d) = d + 25. Let c(t) = 3*t + 76. Calculate -3*c(m) + 8*r(m).
-m - 28
Let r(t) = -13*t**2 + 9*t + 9. Let b = -18 + 9. Let k(o) = -3*o**2 + 2*o + 2. Let f = -9 + 11. Calculate b*k(m) + f*r(m).
m**2
Suppose 2*h + h = -3. Let w(p) = p. Let v(g) = 4*g - 8. Let s(l) = -4*l + 7. Let n(f) = 7*s(f) + 6*v(f). Give h*n(j) - 2*w(j).
2*j - 1
Let p(i) = i**3 + 4*i**2 - i + 4. Let s(a) be the first derivative of -a**3/3 + a**2/2 - a - 1. What is p(h) + 4*s(h)?
h**3 + 3*h
Let p(x) = -9*x - 4. Let w(b) = -5*b - 2. What is -4*p(i) + 7*w(i)?
i + 2
Let q(i) be the first derivative of i**4/4 - i**3/3 + 1. Suppose -4*r = 2*g, 2*g + g - 5 = -r. Let f(j) = -2*j**3 + 3*j**2. Calculate g*f(d) + 5*q(d).
d**3 + d**2
Let c be 6/9*3 - 2. Suppose -o - o - 8 = c. Let w(x) = -3. Let p(s) = -1. Let d(v) = 4*p(v) - w(v). Let h(l) = l - 1. Calculate o*d(z) + 2*h(z).
2*z + 2
Let u(m) = 7*m**2. Let p(x) be the third derivative of -11*x**5/60 + 7*x**2. Calculate 5*p(v) + 8*u(v).
v**2
Let x(o) be the first derivative of -2*o**2 + o + 6. Let u(c) = -2*c + 1. Give -5*u(z) + 3*x(z).
-2*z - 2
Let p(q) = 7. Let s(d) = d**3 + 15. What is 5*p(x) - 2*s(x)?
-2*x**3 + 5
Suppose g = 4*h - 12, h - 5*h + 12 = -3*g. Let u(x) = 0*x - h*x - x + 2. Let n(f) = -f - 9*f + 2*f + f + 3. Determine 3*n(i) - 5*u(i).
-i - 1
Let a be ((-2)/(0 + -1))/1. Let k(d) be the third derivative of d**5/60 - d**4/24 + d**3/6 - 3*d**2. Let p(i) = 5*i**2 - 6*i + 6. Give a*p(s) - 11*k(s).
-s**2 - s + 1
Let m(t) = 0*t - 3*t + t. Suppose 4*y - 2*y = -28. Let n(p) = 6*p. Determine y*m(k) - 5*n(k).
-2*k
Let t(a) = a + 23. Let h(o) = 11. Let d(w) = 5*h(w) - 2*t(w). Let g be (14/(-8))/((-3)/12). Let r(v) = | {
"pile_set_name": "DM Mathematics"
} |
. Let h be y(5). Let c be 9 - ((-55)/(-5) + -1 + -5). Solve -x + 5 = 5*k, -c*x + h*k = k + 18 for x.
-5
Let j(b) = -b**3 - 14*b**2 - 38*b + 22. Let k be j(-10). Solve d + 9 = 5*x - k, 0 = -5*d + 2*x - 9 for d.
-1
Let p be (-336)/(-57) + 6/57. Suppose -f - 15 - 3 = 4*q, 2*f + 2*q = -6. Let t be p/4 + f/4. Solve 4*u - 2*w = -t, 0 = -2*u - 2*u + 3*w + 1 for u.
-2
Suppose -18 = -7*k + 17. Suppose -d = -2*z + 1 + k, 0 = -5*d + 3*z - 9. Solve d = -4*n + 2*j, -n - j + 2 + 1 = 0 for n.
1
Let f(c) = 10*c**2 - 7*c + 1. Let u be f(1). Suppose u*z = -3*a + 21, -2*z + 6 = 3*a - 3*z. Solve 3*q - 24 = -a*j, 4*j - 35 = -q - 4*q for q.
3
Let b(m) = -6*m - 5. Let r be b(-1). Let c be ((-57)/171)/(r + (-26)/24). Solve 3*i + i = c*v + 12, -v - 7 = -3*i for i.
2
Let z = 2 - 0. Suppose -w = -3*w - 3*f - z, 4*w - 12 = 2*f. Suppose 4*p + 8 = w*h, 0*p - 3*h + 12 = -p. Solve -4*v + q + 9 = 0, p = -3*q + 5 + 4 for v.
3
Let h be 96/(-21) - 4/(-7). Let o(s) = s**2 + 8. Let g be o(h). Solve 5*d - g = -4, 16 = 3*t + d for t.
4
Let m(x) = 38*x - 29. Let f be m(1). Solve 2*z - 4*p = 18, 3*p + f = -0*p for z.
3
Let s = -28 + 30. Suppose 5*p + 5*g - 40 = 0, -s*g = 4*p - 8 - 16. Solve 16 = p*h, -9 = -3*i + 5*h - 32 for i.
-1
Let x = 331 - 311. Solve -3*k - 2*k = 4*z + 5, -3*z + k = -x for z.
5
Let l be (-24)/4*16/6. Let s = l + 12. Let j = 6 + s. Solve 2*g + 0*x - j = -2*x, -5*x = -g + 13 for g.
3
Suppose 0 = -11*l + 13*l + 98. Let a = -46 - l. Solve 4*i + 12 = -4*b, a*b + 6 = -i - i for i.
-3
Let n(x) = 7*x + 5. Let m be n(-5). Let q be (-4 - 1)/((-8)/(432/(-9))). Let r = m - q. Solve -4*i - c - 17 = r, 0*c = 2*c - 6 for i.
-5
Suppose 15*z + 4*q = 10*z + 15, q = -4*z + 12. Solve z = 2*d - 3*n - 2, -d - n = 10 for d.
-5
Let p(n) = -n**2 + n + 1. Let q be p(0). Let g = 19 - q. Let h be g - 5/(-5) - 1. Solve -j - h = 2*j + 3*b, -b + 2 = -j for j.
-4
Let d = 45 + -40. Suppose -3*a + 2 = -u - a, -d*u - 4*a = -18. Solve -u*j + j - 3*f = 14, -3*j = -5*f - 14 for j.
-2
Let i be (-20)/(-12) + (-2)/(-6). Let n = i + -13. Let b = n - -11. Solve -v - 6 = -x, b*v = -5*v - 5*x + 20 for v.
-1
Let x(y) = y**3 - 9*y**2 - 10*y + 1. Let l be x(10). Let b = 24 + l. Solve -4*m = -5*c - 45, -4*m - c + 2*c = -b for m.
5
Suppose -46*x + 64*x = 72. Solve w - 2*u - 23 = -2*w, 0 = -x*w - 5*u for w.
5
Let k = 33 - 28. Solve 2*o = -k*q + 7, 6*q = 2*q + 12 for o.
-4
Let z(p) = -2 + 4 - p**2 + 2 - 11*p. Let h be z(-11). Let x be (h/(-12))/(1/(-15)). Solve -t = -x*j + 14, 3*j = -3*t - 2*j - 2 for t.
-4
Let b(z) = 9*z**3 + 2*z**2 - 3*z. Let u be b(1). Solve 0 = -2*n - 8, -2*n - u = -0*f - 5*f for f.
0
Suppose -3*n - 2*k + 210 = -50, -2*n + 164 = -k. Suppose 5*v - 6 - n = 0. Solve -2*q = -5*q + 3*c - v, q - 5*c = -22 for q.
-2
Suppose -10 = -5*k + 3*m, -8*k + 2*m + 6 = -5*k. Solve 6*y = 4*x + k*y - 16, 5*x - y = 24 for x.
5
Let i be (-5)/((-20)/(-24))*-1. Suppose -i*h + 34 = -104. Solve 0 = 4*s - 3*y + h, 2*s + y - 1 = 0 for s.
-2
Let a(j) = j**3 - 26*j**2 + 24*j + 26. Let z be a(25). Solve g + z = 2*q, -3*g + g = 5*q - 7 for q.
1
Suppose -2*h + 4*j = -4*h - 2, -2*h - 5*j - 3 = 0. Let d = -10 + h. Let p be 18/27*d/(-2). Solve -5 = 2*s - 2*m + p, -2*s + 4 = m for s.
0
Let z = -26 - -22. Let t = z - -9. Solve -14 = -t*y + n - 35, n = 1 for y.
-4
Let y(a) = 44*a - 18 + 4*a**3 - 34*a - 30*a - 3*a**3 - 20*a**2. Let u be y(21). Solve -4*x - 5 = u*n, 5*x + 40 = n + 10 for x.
-5
Suppose g + 122 = 5*g - 2*n, -3*n - 123 = -4*g. Suppose -g*z + 20*z = 0. Let q = 18 + -11. Solve 25 = -z*h + 5*h, q = 4*k - h for k.
3
Suppose -38*o + 128 = -6*o. Solve 0 = 5*k - 2*v - 22, o*k - v + 2 - 19 = 0 for k.
4
Let t(s) = -4*s**3 + 5*s + 6. Let f be t(-2). Let j be (140/f)/((-2)/(-2)). Solve 14 - 1 = j*k - a, -4*k - 4*a + 20 = 0 for k.
3
Suppose -85 = 4*v + v. Let o = -21 + v. Let c be (-4)/(-20) + o/(-10). Solve r - 2*i = -4*i - 9, -25 = -5*r + c*i for r.
1
Suppose 3*g + 16 - 22 = 0. Solve -g*n + 6*n - 4 = -3*l, -l + 8 = -2*n for l.
4
Let u be (-1)/(-2)*0/(-1). Solve z = 5*d - 2 - 26, -2*z - d - 1 = u for z.
-3
Let s = -1249 - -1259. Solve s = 2*t, 1 = 5*z - 3*z + t for z.
-2
Let s be (-3*1)/(5 - 6). Suppose -j + y + 5 = s*y, 11 = 4*j - y. Let m(q) = 2*q + 1. Let p be m(5). Solve -3*a - j*h + 27 = 0, -4*h + 20 = 3*a - p for a.
5
Let h = 24 - 20. Suppose h*c - 40 = -4*c. Solve -5*b + 1 = -4, -3*f - 8 = -c*b for f.
-1
Let d(f) = f**2 - f - 1. Let y = -7 + 8. Let n be -4 - (-2 + (1 - y)). Let t be d(n). Solve -2*j = t*a + 17, 4*j = 5*a + 42 - 1 for a.
-5
Let d(m) = -11*m - 5. Let p be d(-5). Let v be (-6*1)/3 - -24. Suppose 4*l - v = p. Solve 4*c = n - l, 4*n + 7 = 5*c + 35 for c.
-4
Let n(l) = l**2 + 21*l + 50. Let w be n(-20). Solve 4*v + 2*i = -w, -v = 3*v - 4*i for v.
-5
Let j = -83 + 102. Let r(c) = c**3 - 21*c**2 + 39*c - 15. Let y be r(j). Solve 3*u - 15 = 2*h - 6*h, -5*u + y*h = 7 for u.
1
Suppose 18 = c - 34. Suppose 3*m - c = 5*b - b, 3*m - 5*b = 50. Solve u + 2*y - 7 = 2*u, -m = -4*y for u.
3
Let t(k) = -4*k - 11. Let d = 7 + -12. Let b be t(d). Let p be b/(-6)*8/(-3). Solve 8 = p*u + 2*f, -2*f = u - f for u.
4
Suppose 4*v - 9 = -1. Let q be ((-6)/2)/3*7. Let r = 13 + q. Solve 0 = b - 3*b - r, v*h = -3*b - 9 for h.
0
Suppose 10*a - 7*a = 18. Solve -4*o + 20 = 0, 0 = 3*r - a*r + o + 1 for r.
2
Suppose 31 = -5*s - 5*v + 131, -3*v = -4*s + 87. Suppose s = 121*f - 118*f. Solve 4*n - f = -2*h + 5, 2*h = n - 3 for n.
3
Suppose -3*v + 39 = -2*m + 5*m, -5*m + 61 = v. Suppose -f - 2*a + m = 0, -5*f + 0*f = -a - 38. Solve 4*o - f = 2*y, 6*o - 3*o = 4*y + 1 for y.
2
Let r = 480 + -476. Solve 0 = -r*a - v + 8, 5*a - 2*v = -3*v + 10 for a.
2
Suppose 10*k = -3 - 7. Let w be (-18)/(-10) + ((-4)/20)/k. Solve -u + 2*x - 1 = 0, 4*u - 11 = -u + w*x for u.
3
Let h(w) = w**3 + 5*w**2 - 5*w - 22. Let v be h(-5). Solve -3 = -3*j - d - 2, -5*d = v*j - 5 for j.
0
Let r = 271 - 260. Let z(g) = -g**2 + 6*g + 5. Let i be z(6). Let b = i + -3. Solve -b*x - 5*p - 12 = 0, -p = 5*x + 2*p + r for x.
-1
Let o be (-110)/(-27) + 104/(-1404). Suppose 4 = -0*b + b. Solve -o*c + 3*i - 7*i = -4, -b*c + 3*i = 24 for c.
-3
Let h = 697 - 693. Solve 0 = h*f + d + 10, 6*d + 6 = f + 2*d for f.
-2
Let z = -65 + 87. Let n be -1 + 1 + -2 + z. Solve 4*h - n = m, 4*h - 12 = -3*m + 2*m for m.
-4
Let h = 112 + -110. Let v be 4*(h + -3)*(-3 + 2). Solve v*w + w - t - 15 = 0, -5*t - 25 = 0 for w.
2
Let u be ((-36)/7 + 0)*7. Let l = u + 39. Solve j + 5*f + 3 = 0, 4*j - j + l*f = -9 for j.
-3
Suppose -n = 99 - 25. Let q = -74 - n. Solve -r + 5 = a - q*r, -9 = -3*r for a.
2
Let d = 31 - 22. Suppose -q + b + 6 = 3, -b = 3*q - d. Suppose -q*o - 14 = -i, 5*i - 6 = 5*o + 34. Solve i*h + 16 = -4*x, 2 = x + 6 for h.
0
Suppose p - 7*p = -48. Solve -f + b + 2 = -2*b, 3*f - 2*b + p = 0 for f.
-4
Let p be (1/((-6)/(-4)))/(228/684). Solve -p*n + 0*n - w = -3, 5*n - 3*w + 9 = 0 for n.
0
Let c = -1842 - -1845. Solve -c = 3*s, 4*s + 5 = -3*j - 11 for j.
-4
Let a = 157 - 73. Suppose -5*k + 26 = -a. Solve -1 = -b + 2*b + 2*h, -2*b + 4*h = -k for b.
5
Let m be (-20)/3*27/(-36). Solve 3 = 2*y + m*g, 5*y + 3*g = 5*g - 7 for y.
-1
Suppose -3*v = -8*v + 2*s + 26, -3*v + 3*s = -12. Solve -2*p = -5*c - 12, -5*c - v = -4*p - 2 for p.
-4
Let w be (0 - 5)*(-2 + 3 + -2). Solve -4*a + 24 = 5*o, 0 = -w*a + 2*o + 2*o - 11 for a.
1
Suppose 4*v = z - 0*z + 133, 0 = -v - 4*z + 29. Let h = 38 - v. Solve 2*b = 6, -h*i + 8 = -0*b - 4*b for i.
4
Suppose -3*v + 1 = -f, -4*v = 3*f - f - 18. Let b be -4*(3/v - 2). Suppose 0*y = b*y. Solve 3 = 2*d + 3*d + 2*k, -4*d - k + 3 = y for d.
1
Suppose -11*u = -2*u - 45. Solve 3*g + 3*d + 3 = 0, u*g - 18 = 3*d + 9 for g.
3
Let l(j) = 4*j + 60. Suppose -s = 7 + 2. Let h be l(s). Solve -h = 5*o - g - 0*g, 12 = 3*g for o.
-4
Let c(u) = -3*u - 6*u**2 - 5*u**2 - 2*u**3 + u**3 + 4*u**2 + 1. Let b be c(-5). Let k = b - -43. Solve 5*o + 25 = -4*a, 2*o - o = 2*a + k for a.
-5
Suppose -1323 = -5*v + 177. Let c be (-2)/(-11) + v/44. Suppose -8 = 3*s - c*s. Solve 3*b = -5*h - 21, -h - b - 7 + s = 0 for h.
-3
Let s = 34 - 46. Let a be s + 16 - (1 - 2). Let t = -7 - -10. Solve t*o = -9 - 3, -a*o - 14 = -2*g for g.
-3
Let x be -3*(5 + -1 + -3). Let m = 2 - x. Suppose 0 = 3*c - 5*v + 4, c = -0*c - m*v + 12. Solve p + 2*r = -2*p + c, 5*p + 4*r - 2 = 0 for p.
2
Let i = 9 + -4. Let d = 27 - 23. Sol | {
"pile_set_name": "DM Mathematics"
} |
5*s - 0*s for s.
0
Solve -126*d - 250 = -101*d for d.
-10
Solve 8*r - 3 = -43 for r.
-5
Solve -14*x + 13*x = 0 for x.
0
Solve -18*p + 15*p = 15 for p.
-5
Solve 329*w + 210 = 359*w for w.
7
Solve -36*o = -42*o - 24 for o.
-4
Solve 63 = 9*n + 45 for n.
2
Solve 4*v = -6 + 26 for v.
5
Solve 0*a - 14*a + 70 = 0 for a.
5
Solve -21*n - 6*n + 162 = 0 for n.
6
Solve m = 4*m for m.
0
Solve -181 - 144 = 65*o for o.
-5
Solve 124 = 99*c - 74 for c.
2
Solve -17*p + 11 = -23 for p.
2
Solve -29*h = -34*h + 15 for h.
3
Solve s - 96 = -31*s for s.
3
Solve -6*c = -40 + 28 for c.
2
Solve 12*j + 115 = -11*j for j.
-5
Solve 1 - 7 = -6*c for c.
1
Solve -4*x + 5 + 3 = 0 for x.
2
Solve -30*c + 37*c = 7 for c.
1
Solve 6*f + 3*f = 4*f for f.
0
Solve -32 + 6 = 26*c for c.
-1
Solve 0 = 48*c - 130 - 14 for c.
3
Solve 770*k = 771*k + 5 for k.
-5
Solve 6*k + 3 = -9 for k.
-2
Solve -p = 4*p - 15 for p.
3
Solve -2*q + 213 = 209 for q.
2
Solve 6 = -3*t + 6 for t.
0
Solve -4*b - 9 - 7 = 0 for b.
-4
Solve 137 = -9*x + 128 for x.
-1
Solve 9*z - 25 = 20 for z.
5
Solve 5*s - 7*s = 4 for s.
-2
Solve 0 = -14*x + 9*x + 5 for x.
1
Solve 108*v - 125*v + 119 = 0 for v.
7
Solve -3*d - 628 = -637 for d.
3
Solve 0 = -36*f - 104 - 4 for f.
-3
Solve -37*u - 216 = 43 for u.
-7
Solve -39*n = -26*n + 104 for n.
-8
Solve 44 = -q - 10*q for q.
-4
Solve 0 = -35*u + 33*u + 10 for u.
5
Solve -2021*v + 2028*v - 14 = 0 for v.
2
Solve 4 = -2*p - 4 for p.
-4
Solve 0 = -89*u + 82*u - 7 for u.
-1
Solve -4*s + 1555 = 1587 for s.
-8
Solve -71 = -22*j - 115 for j.
-2
Solve -639*n = -637*n + 6 for n.
-3
Solve 23 = 4*j + 39 for j.
-4
Solve -10*i = -5*i - i for i.
0
Solve -2*c = 3*c - 15 for c.
3
Solve 16*h = 15*h - 3 for h.
-3
Solve 0 = 3*b - 45 + 42 for b.
1
Solve -14*k = 5*k + 19 for k.
-1
Solve 0 = 41*z - 38*z for z.
0
Solve 38*b - 45*b = 49 for b.
-7
Solve 9*s + 5 = 14*s for s.
1
Solve -29*x + 63 = -38*x for x.
-7
Solve -34*u + 76*u = 0 for u.
0
Solve f - 95 = 20*f for f.
-5
Solve 10 = -0*l + 2*l for l.
5
Solve 0 = 29*p - 10*p - 19 for p.
1
Solve 0 = 4*z - 19 + 19 for z.
0
Solve -45*d = -7*d + 228 for d.
-6
Solve 8*r = -3*r - 33 for r.
-3
Solve -7*h - 15 + 22 = 0 for h.
1
Solve -2*c = c - 9 for c.
3
Solve 194 = p + 197 for p.
-3
Solve 0 = 14*y - 21*y - 14 for y.
-2
Solve -4191*p = -4186*p + 20 for p.
-4
Solve 12*g = 17 + 43 for g.
5
Solve 19*c = 12*c - 7 for c.
-1
Solve 0 = 14*n - 41 + 41 for n.
0
Solve -2*c + 6 = -4*c for c.
-3
Solve 26*w - 25*w = -4 for w.
-4
Solve -19*m = -6*m + 104 for m.
-8
Solve 19*v + 30 = -46 for v.
-4
Solve v + 3*v = 8 for v.
2
Solve 0 = 8*s + 8 + 8 for s.
-2
Solve 71*n - 67*n = 4 for n.
1
Solve -14 = 4*q - 30 for q.
4
Solve -2*v - 17 = -7 for v.
-5
Solve 17*b - 18 = 8*b for b.
2
Solve 90 = 17*a + 22 for a.
4
Solve 11*c - 60 = -c for c.
5
Solve 35 + 9 = -44*x for x.
-1
Solve -3*j - 5*j = -24 for j.
3
Solve 12 - 3 = -n for n.
-9
Solve -95*m - 20 = -685 for m.
7
Solve 0 = -0*k + 3*k + 15 for k.
-5
Solve -8*i + 68 = 36 for i.
4
Solve 2*h - 7 = -1 for h.
3
Solve 8*j - 7*j - 6 = 0 for j.
6
Solve -88*w - 22 = 66 for w.
-1
Solve 16*n + 27 = 7*n for n.
-3
Solve 2*p + 37 = 47 for p.
5
Solve 0 = 3*m + 857 - 848 for m.
-3
Solve 4*i - 7 = 17 for i.
6
Solve 21*m - 31*m - 20 = 0 for m.
-2
Solve 12*c = 9*c + 3 for c.
1
Solve -74 = -3*g - 47 for g.
9
Solve -109*w + 83*w = -156 for w.
6
Solve -7*y + 6*y - 6*y = 0 for y.
0
Solve 13*s - 11 = 2 for s.
1
Solve 31*z = 58*z - 27 for z.
1
Solve 12*v + 13 + 23 = 0 for v.
-3
Solve 16*c = 25*c for c.
0
Solve 10*m + 2 = -18 for m.
-2
Solve 5 = -t + 7 for t.
2
Solve 16*n - 162 + 114 = 0 for n.
3
Solve 38 - 41 = -3*w for w.
1
Solve -17*n + 0 + 17 = 0 for n.
1
Solve 44*t = 45*t - 3 for t.
3
Solve -66*i - 173 - 223 = 0 for i.
-6
Solve -148*m - 78 = -161*m for m.
6
Solve -4*m - m = -10 for m.
2
Solve 27*u + 60 = 15*u for u.
-5
Solve 23*k + 32 = 9 for k.
-1
Solve -9*f = 12*f + 126 for f.
-6
Solve -6 = -14*q + 8*q for q.
1
Solve -35*u + 31 + 144 = 0 for u.
5
Solve -2*p = 2*p - 7*p for p.
0
Solve -44*f - 3*f = -376 for f.
8
Solve -240 = 11*a - 35*a for a.
10
Solve -10*f - 49 = -3*f for f.
-7
Solve -12*f + 55 = -f for f.
5
Solve 0 = 6*a + 13 + 11 for a.
-4
Solve 1050*h - 1046*h = -12 for h.
-3
Solve 329 - 309 = -4*r for r.
-5
Solve 0 = -l - 126 + 124 for l.
-2
Solve 3145*v - 3140*v - 10 = 0 for v.
2
Solve 12*c - 3*c = 0 for c.
0
Solve -412 = 9*y - 430 for y.
2
Solve 3 + 11 = 14*s for s.
1
Solve 3 - 3 = -6*y for y.
0
Solve 0 = 6*j + 3*j - 27 for j.
3
Solve -13*y - 34 + 8 = 0 for y.
-2
Solve 0 = -45*s + 30*s - 105 for s.
-7
Solve -21 = 1806*y - 1813*y for y.
3
Solve 0 = 2*g - 10*g for g.
0
Solve 0 = r - 2*r - 0*r for r.
0
Solve 11*j = 17*j + 12 for j.
-2
Solve 19*x + 29*x = -336 for x.
-7
Solve -9*i = -16 - 29 for i.
5
Solve -8*h = -189 + 213 for h.
-3
Solve 192 = 18*n + 120 for n.
4
Solve 14 = 6*p + 2 for p.
2
Solve 46*s - 73 = 157 for s.
5
Solve 57*y - 52*y - 25 = 0 for y.
5
Solve 0 = -221*m + 217*m - 8 for m.
-2
Solve -13*f + 7*f = -12 for f.
2
Solve -11099*w + 11094*w = 0 for w.
0
Solve -51 = -18*z - 195 for z.
-8
Solve -226*k = -229*k + 12 for k.
4
Solve 16*p = -81 + 1 for p.
-5
Solve -3*d = -8*d + 10 for d.
2
Solve 48*m = 52*m + 4 for m.
-1
Solve 32 = 16*u + 80 for u.
-3
Solve 0 = 63*d + 12*d - 375 for d.
5
Solve -4*z - 11*z = 60 for z.
-4
Solve -7*g + 39 = 4 for g.
5
Solve -11*w - 7*w = 54 for w.
-3
Solve x - 2*x = 12*x for x.
0
Solve 28*b = -19 - 177 for b.
-7
Solve 19 - 6 = 13*g for g.
1
Solve -37*b - 40 = -114 for b.
2
Solve -22*h - 43 = 67 for h.
-5
Solve -199 = 40*j - 559 for j.
9
Solve 8*u + 0 = 8 for u.
1
Solve -46*k + 15 = -49*k for k.
-5
Solve -d + 15 = 17 for d.
-2
Solve 29*j - 26*j = -9 for j.
-3
Solve 2 = 5*j + 17 for j.
-3
Solve 41*z + 121 = 326 for z.
5
Solve 2*b + 3*b - 20 = 0 for b.
4
Solve 71 = -52*f - 33 for f.
-2
Solve 7 = 8*x + 7 for x.
0
Solve 0 = x + 16 - 17 for x.
1
Solve -10*h + 0 = -30 for h.
3
Solve 347 - 475 = 16*y for y.
-8
Solve 0 = 80*n - 74*n for n.
0
Solve 5*y = -89 + 94 for y.
1
Solve 0 = -13*g + 7*g - 12 for g.
-2
Solve -91*f - 108 = -64*f for f.
-4
Solve -33 + 23 = 2*p for p.
-5
Solve -292 - 298 = 118*i for i.
-5
Solve -25*a + 240 = -73*a for a.
-5
Solve 100 = -4*z + 24*z for z.
5
Solve 10*r - 164 = -234 for r.
-7
Solve 7*b = 41*b + 102 for b.
-3
Solve -9*k + 30 - 3 = 0 for k.
3
Solve -16*f = 21 - 117 for f.
6
Solve -q = -2086 + 2087 for q.
-1
Solve 8*u = 42 - 18 for u.
3
Solve 8*k + 84 = 92 for k.
1
Solve 5*v + 3 = 8*v for v.
1
Solve 29*j = -1011 + 808 for j.
-7
Solve 17*n - 36*n + 76 = 0 for n.
4
Solve 60*z - 237 = 63 for z.
5
Solve 6*t - 15 + 21 = 0 for t.
-1
Solve -7*j + 17*j + 20 = 0 for j.
-2
Solve -36 + 12 = 12*c for c.
-2
Solve -9 = 57*s - 54*s for s.
-3
Solve 48*l + 3 = -93 for l.
-2
Solve -12*p = -5*p + 35 for p.
-5
Solve -178*z - 203 = -207*z for z.
7
Solve 319 = 15*a + 334 for a.
-1
Solve 269 - 178 = 13*v for v.
7
Solve -5*d = -0 + 5 for d.
-1
Solve -14 = 44*l - 51*l for l.
2
Solve -4 = -10*o + 14*o for o.
-1
Solve 96*c - 99*c - 15 = 0 for c.
-5
Solve -23*l + 70*l + 282 = 0 for l.
-6
Solve -2*n = -25 + 21 for n.
2
Solve 13*h = -8 - 31 for h.
-3
Solve -9*r - 11 - 34 = 0 for r.
-5
Solve -24*c + 54 = -6*c for c.
3
Solve 26 = 11*v + 15 for v.
1
Solve 55*n - 52*n - 3 = 0 for n.
1
Solve 0 = -6*d + 30*d for d.
0
Solve 86*a = 75*a + 55 for a.
5
Solve 459 + 261 = 90*z for z.
8
Solve 6*b - 56 = -68 for b.
-2
Solve 2*g - 11 = -13 for g.
-1
Solve 8 = 16*d - 18*d for d.
-4
Solve 0 = 9*y - 2 - 16 for y.
2
Solve -11*y - 852 = -775 for y.
-7
Solve -8*r = 176 - 160 for r.
-2
Solve 0 = 13*j - 22*j + 63 for j.
7
Solve 8 + 6 = -7*t for t.
-2
Solve -5*u + 7 = 22 for u.
-3
Solve 0 = 10*c + 5*c - 90 for c.
6
Solve 34*a = -6*a for a.
0
Solve -6*k - 33 = 3 for k.
-6
Solve 486 - 552 = -11*v for v.
6
Solve -16*h - 9 = -89 for h.
5
Solve 0 = 62*d - 262 - 48 for d.
5
Solve -16*j - 507 = -379 for j.
-8
Solve -21*l - 105 = 14*l for l.
-3
Solve -49*f - 15*f + 128 = 0 for f.
2
Solve 0*h + 2 = h for h.
2
Solve -8*n + 3 = -11*n for n.
-1
Solve -14*m + 43*m = -29 for m.
-1
Solve 3*a - 125 = -116 for a.
3
Solve 302 = -10*l + 262 for l.
-4
Solve -56 = 1132*f - 1124*f for f.
-7
Solve 11*d + 452 = 386 for d.
-6
Solve -2 = 2*b - 12 for b.
5
Solve 2*x = 13*x + 9*x for x.
0
Solve -8*y - 96 = 24*y for y.
-3
Solve -3*r - 14 = -2 for r.
-4
Solve -57*h = 90 - | {
"pile_set_name": "DM Mathematics"
} |
ers picked without replacement from mmqmmqmmmmq?
28/55
Calculate prob of picking 1 z and 2 l when three letters picked without replacement from {m: 6, g: 3, l: 3, z: 2, w: 2, t: 2}.
1/136
Calculate prob of picking 4 n when four letters picked without replacement from {r: 5, n: 5}.
1/42
Four letters picked without replacement from {i: 1, q: 2, k: 7, l: 1, z: 5}. What is prob of picking 1 i, 1 k, and 2 z?
1/26
Two letters picked without replacement from whhwwhhhwhhhhw. What is prob of picking 2 w?
10/91
Three letters picked without replacement from {s: 2, i: 1, u: 5, d: 2, j: 4, p: 1}. What is prob of picking 1 p, 1 j, and 1 d?
8/455
Two letters picked without replacement from {v: 11, d: 1, q: 4, y: 1, t: 2}. What is prob of picking 1 y and 1 d?
1/171
Calculate prob of picking 1 m and 2 t when three letters picked without replacement from mfmmmttt.
3/14
Calculate prob of picking 2 f when two letters picked without replacement from ggfgfgfg.
3/28
Calculate prob of picking 1 l and 1 n when two letters picked without replacement from {p: 1, l: 2, x: 2, n: 2, g: 1, w: 4}.
2/33
Two letters picked without replacement from {q: 6, v: 6, j: 1, o: 5}. Give prob of picking 2 o.
10/153
What is prob of picking 1 v and 1 s when two letters picked without replacement from {p: 1, d: 3, f: 2, v: 1, s: 3}?
1/15
Four letters picked without replacement from hhhhhlhhhhhl. Give prob of picking 3 h and 1 l.
16/33
Four letters picked without replacement from {z: 4, n: 6, g: 3}. What is prob of picking 1 z, 1 g, and 2 n?
36/143
Three letters picked without replacement from {o: 3, e: 4, n: 2, a: 1}. Give prob of picking 1 n, 1 e, and 1 a.
1/15
Two letters picked without replacement from {y: 4, t: 7, r: 3}. What is prob of picking 1 t and 1 y?
4/13
Four letters picked without replacement from nununnnnnnznnunzxznn. Give prob of picking 1 x and 3 n.
286/4845
Four letters picked without replacement from {k: 1, u: 1, m: 2, c: 1}. What is prob of picking 1 u, 1 k, and 2 m?
1/5
What is prob of picking 2 f and 1 l when three letters picked without replacement from lhhjjjjjfjjllfjlf?
3/170
Four letters picked without replacement from xdgddkdgdkddgkwxk. Give prob of picking 4 d.
1/68
Calculate prob of picking 2 n and 1 m when three letters picked without replacement from unnfnuffonumfnn.
3/91
Two letters picked without replacement from {o: 5, m: 10, k: 3, t: 2}. Give prob of picking 1 m and 1 k.
3/19
Three letters picked without replacement from uufeiieiuze. Give prob of picking 1 f and 2 u.
1/55
Two letters picked without replacement from {w: 9, z: 7, n: 3}. Give prob of picking 1 n and 1 w.
3/19
What is prob of picking 2 y and 1 n when three letters picked without replacement from {y: 9, j: 1, g: 2, n: 1}?
18/143
Two letters picked without replacement from {u: 1, g: 10, q: 9}. Give prob of picking 1 g and 1 q.
9/19
Three letters picked without replacement from {b: 5, p: 2, j: 3}. What is prob of picking 1 p and 2 j?
1/20
What is prob of picking 1 a and 1 x when two letters picked without replacement from {a: 4, h: 4, x: 1, g: 6}?
4/105
Four letters picked without replacement from {d: 5, j: 14}. What is prob of picking 4 d?
5/3876
Calculate prob of picking 1 y, 1 e, 1 t, and 1 b when four letters picked without replacement from {e: 3, n: 2, b: 1, i: 3, t: 2, y: 7}.
7/510
What is prob of picking 1 s, 2 p, and 1 o when four letters picked without replacement from {m: 2, y: 2, p: 2, s: 3, o: 4, e: 2}?
4/455
Four letters picked without replacement from xssxsxss. Give prob of picking 4 s.
1/14
What is prob of picking 1 d, 2 x, and 1 z when four letters picked without replacement from xyxxxyzdxdxdzyxx?
6/65
Two letters picked without replacement from {f: 1, t: 1, c: 1, p: 1, g: 1}. What is prob of picking 2 g?
0
Calculate prob of picking 1 s and 1 w when two letters picked without replacement from wsswsssss.
7/18
Four letters picked without replacement from {o: 3, u: 2, n: 15}. What is prob of picking 1 u and 3 n?
182/969
Three letters picked without replacement from {e: 7, f: 2}. What is prob of picking 3 e?
5/12
What is prob of picking 1 c and 1 j when two letters picked without replacement from {n: 1, c: 1, z: 6, o: 3, j: 1, l: 1}?
1/78
What is prob of picking 1 q and 1 u when two letters picked without replacement from {q: 3, u: 5, k: 2, v: 1, o: 1}?
5/22
Calculate prob of picking 2 q when two letters picked without replacement from {q: 4, y: 1, x: 5, z: 2, u: 2}.
6/91
Two letters picked without replacement from nkknknkknnkkkk. Give prob of picking 2 n.
10/91
Calculate prob of picking 1 n and 1 k when two letters picked without replacement from kkyn.
1/3
Three letters picked without replacement from yziwfigiwzzgw. Give prob of picking 1 i, 1 g, and 1 y.
3/143
Two letters picked without replacement from sdyyzyftttysytd. Give prob of picking 1 y and 1 z.
1/21
Calculate prob of picking 1 y and 3 l when four letters picked without replacement from {c: 2, y: 4, l: 3}.
2/63
Three letters picked without replacement from dttvtatzltdd. What is prob of picking 3 d?
1/220
Calculate prob of picking 2 d and 1 y when three letters picked without replacement from doddiya.
3/35
Three letters picked without replacement from wuwwwwuwwhwvw. Give prob of picking 1 v, 1 u, and 1 h.
1/143
Calculate prob of picking 2 m when two letters picked without replacement from {m: 4, a: 3, f: 2, q: 8}.
3/68
Two letters picked without replacement from {d: 1, v: 2, j: 4}. What is prob of picking 1 v and 1 d?
2/21
Three letters picked without replacement from {w: 2, t: 4, q: 2, m: 1, p: 1}. What is prob of picking 1 p and 2 t?
1/20
Two letters picked without replacement from {g: 3, k: 4, m: 2}. What is prob of picking 1 g and 1 m?
1/6
Calculate prob of picking 1 v and 2 t when three letters picked without replacement from {t: 1, o: 1, l: 7, v: 9}.
0
Four letters picked without replacement from {i: 1, j: 2, x: 3, r: 1, f: 3}. Give prob of picking 1 f, 1 r, 1 x, and 1 j.
3/35
Four letters picked without replacement from mmsmmmsmmmmmm. Give prob of picking 2 m and 2 s.
1/13
Calculate prob of picking 2 s and 2 e when four letters picked without replacement from eeeseeeeeeeeseeeeee.
2/57
Four letters picked without replacement from tttt. What is prob of picking 4 t?
1
Four letters picked without replacement from kkkkkk. Give prob of picking 4 k.
1
Three letters picked without replacement from orkoggookwrg. What is prob of picking 2 o and 1 w?
3/110
What is prob of picking 3 j when three letters picked without replacement from ujjujju?
4/35
Two letters picked without replacement from {u: 6, x: 2}. Give prob of picking 2 x.
1/28
Four letters picked without replacement from vvvddddd. What is prob of picking 4 d?
1/14
What is prob of picking 1 q and 1 r when two letters picked without replacement from {t: 5, y: 1, r: 3, q: 2, g: 8, z: 1}?
3/95
Calculate prob of picking 1 a and 1 n when two letters picked without replacement from aaaaaaannnnaan.
45/91
Three letters picked without replacement from iioowwwwwwwxwowwwww. Give prob of picking 1 x and 2 o.
1/323
Four letters picked without replacement from {e: 5, s: 5, t: 5, k: 1}. Give prob of picking 1 k and 3 t.
1/182
Calculate prob of picking 1 e and 1 c when two letters picked without replacement from eeceeeeeeeeeeeeeeee.
2/19
What is prob of picking 2 h when two letters picked without replacement from {h: 1, v: 2, t: 1, y: 1, l: 1, g: 1}?
0
Two letters picked without replacement from xtxfimfxxhixm. What is prob of picking 1 h and 1 m?
1/39
Two letters picked without replacement from {k: 10}. Give prob of picking 2 k.
1
What is prob of picking 1 v and 1 l when two letters picked without replacement from {l: 7, v: 5}?
35/66
Two letters picked without replacement from urrurrrrrr. What is prob of picking 1 u and 1 r?
16/45
Three letters picked without replacement from qhichhcccc. Give prob of picking 3 c.
1/12
Four letters picked without replacement from kdddkddkkddkkkdd. Give prob of picking 4 k.
1/52
What is prob of picking 1 t, 1 k, and 1 i when three letters picked without replacement from {t: 2, b: 1, k: 1, i: 1}?
1/5
Two letters picked without replacement from {r: 1, m: 2, z: 6, y: 2, g: 1}. Give prob of picking 1 z and 1 y.
2/11
Calculate prob of picking 4 m when four | {
"pile_set_name": "DM Mathematics"
} |
hout replacement from xxqjxjxxq.
5/63
Three letters picked without replacement from {y: 4, s: 2, d: 3, m: 1, q: 1, p: 1}. What is prob of sequence yqs?
1/165
Calculate prob of sequence oacg when four letters picked without replacement from {x: 1, o: 2, g: 2, c: 1, l: 2, a: 1}.
1/756
What is prob of sequence dnug when four letters picked without replacement from {x: 2, d: 2, g: 2, u: 1, n: 1, z: 1}?
1/756
Three letters picked without replacement from {e: 6, c: 4, d: 1, k: 1, o: 2, z: 1}. What is prob of sequence dkd?
0
Two letters picked without replacement from bbbhhhb. Give prob of sequence hh.
1/7
Calculate prob of sequence vu when two letters picked without replacement from {i: 4, u: 6, v: 1}.
3/55
Two letters picked without replacement from {q: 1, h: 4, m: 3}. Give prob of sequence hq.
1/14
Three letters picked without replacement from unuuunnnuuunk. What is prob of sequence ukk?
0
What is prob of sequence xxqx when four letters picked without replacement from oxjwxjoooxocq?
1/2860
Calculate prob of sequence pnmu when four letters picked without replacement from pjmunjpxu.
1/756
Calculate prob of sequence sp when two letters picked without replacement from {g: 1, s: 3, p: 5}.
5/24
Two letters picked without replacement from uuppuguggggpgguuup. What is prob of sequence gu?
49/306
Four letters picked without replacement from {l: 6, y: 2, s: 1, h: 3, f: 6}. What is prob of sequence lhsh?
1/2040
Two letters picked without replacement from bptttdppatpnp. What is prob of sequence ta?
1/39
What is prob of sequence gnq when three letters picked without replacement from frqnrnbbrgrgbngrr?
3/1360
Three letters picked without replacement from {l: 1, p: 4, t: 1, m: 2, y: 1}. What is prob of sequence yml?
1/252
What is prob of sequence vfx when three letters picked without replacement from {v: 7, x: 2, f: 2}?
14/495
What is prob of sequence ke when two letters picked without replacement from jlgljgekjgg?
1/110
What is prob of sequence xzz when three letters picked without replacement from {z: 4, x: 2}?
1/5
What is prob of sequence el when two letters picked without replacement from orleelrleeelollele?
49/306
What is prob of sequence us when two letters picked without replacement from suseesessussu?
7/52
Two letters picked without replacement from llygcyp. Give prob of sequence gy.
1/21
Calculate prob of sequence fmff when four letters picked without replacement from {m: 2, f: 6}.
1/7
Three letters picked without replacement from rrryghyrdggdayryrrag. Give prob of sequence yhd.
1/855
Three letters picked without replacement from {x: 8, k: 2, y: 2, e: 2, o: 1}. Give prob of sequence xke.
16/1365
Calculate prob of sequence vqv when three letters picked without replacement from {q: 3, v: 5, b: 4}.
1/22
Calculate prob of sequence kvb when three letters picked without replacement from rbikv.
1/60
Calculate prob of sequence llll when four letters picked without replacement from jljjjljjljl.
1/330
Four letters picked without replacement from {x: 3, j: 2, n: 1, q: 1}. What is prob of sequence xjxn?
1/70
What is prob of sequence hhu when three letters picked without replacement from uhhluluuuhl?
1/33
What is prob of sequence qkx when three letters picked without replacement from {q: 1, x: 1, n: 1, r: 1, k: 1}?
1/60
What is prob of sequence hajj when four letters picked without replacement from {h: 1, a: 1, v: 1, j: 2}?
1/60
Four letters picked without replacement from {x: 3, s: 5, l: 2, f: 5}. What is prob of sequence fxfl?
1/273
Three letters picked without replacement from {j: 1, c: 1, y: 1, r: 1, s: 1}. Give prob of sequence ssj.
0
Two letters picked without replacement from {f: 4, x: 1, t: 7, l: 1}. Give prob of sequence fx.
1/39
What is prob of sequence gp when two letters picked without replacement from {g: 1, p: 2, r: 2}?
1/10
Calculate prob of sequence fi when two letters picked without replacement from fffifioolbfflll.
2/35
Four letters picked without replacement from {k: 11, y: 1}. What is prob of sequence kykk?
1/12
Two letters picked without replacement from mrerrvdrdm. What is prob of sequence mm?
1/45
Calculate prob of sequence brb when three letters picked without replacement from rbrbs.
1/15
What is prob of sequence ccc when three letters picked without replacement from qccccq?
1/5
Two letters picked without replacement from yyybyyiyibiyyiiryyry. Give prob of sequence ri.
1/38
What is prob of sequence ol when two letters picked without replacement from {l: 1, t: 1, j: 1, u: 1, o: 2, z: 1}?
1/21
Calculate prob of sequence xxej when four letters picked without replacement from {j: 4, x: 10, e: 6}.
6/323
Two letters picked without replacement from xxzxzzxxxxx. What is prob of sequence xx?
28/55
Three letters picked without replacement from {z: 1, h: 3, l: 1, x: 2}. Give prob of sequence lxh.
1/35
Two letters picked without replacement from {f: 12, t: 7}. Give prob of sequence tt.
7/57
Calculate prob of sequence bv when two letters picked without replacement from {v: 1, b: 1, q: 2}.
1/12
Calculate prob of sequence hhh when three letters picked without replacement from hhhhhhh.
1
Four letters picked without replacement from {f: 5, s: 1, u: 4, n: 2, z: 2}. What is prob of sequence nzfz?
5/6006
Three letters picked without replacement from djjdjdjdkjkiojkjki. What is prob of sequence okd?
1/306
Three letters picked without replacement from {j: 3}. What is prob of sequence jjj?
1
What is prob of sequence jeee when four letters picked without replacement from {e: 5, j: 4, m: 1}?
1/21
Calculate prob of sequence gbcb when four letters picked without replacement from {c: 4, b: 6, g: 2}.
2/99
Two letters picked without replacement from {n: 3, e: 1, k: 9, h: 2, l: 2}. What is prob of sequence nh?
3/136
Three letters picked without replacement from {s: 3, m: 2, e: 1, d: 5, r: 1, b: 1}. Give prob of sequence bsm.
1/286
What is prob of sequence ssss when four letters picked without replacement from {s: 8, l: 2}?
1/3
Three letters picked without replacement from {t: 2, s: 4, c: 4}. Give prob of sequence tts.
1/90
Calculate prob of sequence yu when two letters picked without replacement from {v: 5, u: 2, y: 5}.
5/66
Calculate prob of sequence fw when two letters picked without replacement from fffffffffwfffwffff.
16/153
Two letters picked without replacement from {q: 1, s: 1, k: 1}. Give prob of sequence qs.
1/6
Two letters picked without replacement from {i: 5, x: 4, o: 1, z: 1}. Give prob of sequence iz.
1/22
Two letters picked without replacement from yyryreyzyeyzrbe. What is prob of sequence re?
3/70
What is prob of sequence zc when two letters picked without replacement from cccjczczmzuz?
5/33
Two letters picked without replacement from mrmxgaxpg. What is prob of sequence ap?
1/72
Three letters picked without replacement from zwecclv. What is prob of sequence wlz?
1/210
Two letters picked without replacement from {r: 2, t: 1, o: 1}. What is prob of sequence or?
1/6
Calculate prob of sequence zq when two letters picked without replacement from blqllzlzlqlb.
1/33
Calculate prob of sequence hjzz when four letters picked without replacement from jhtzzhhtth.
1/630
What is prob of sequence wq when two letters picked without replacement from {g: 1, x: 1, q: 2, n: 5, w: 1}?
1/45
Four letters picked without replacement from {s: 1, b: 2, d: 9, p: 2}. Give prob of sequence dsdp.
6/1001
Calculate prob of sequence fl when two letters picked without replacement from {f: 3, q: 2, i: 6, o: 1, l: 5}.
15/272
Calculate prob of sequence inf when three letters picked without replacement from {w: 2, n: 3, f: 1, i: 5, r: 7, o: 2}.
1/456
What is prob of sequence pop when three letters picked without replacement from ooopoppppo?
5/36
What is prob of sequence qhf when three letters picked without replacement from {f: 1, w: 1, h: 1, q: 1, d: 1}?
1/60
Three letters picked without replacement from {k: 7, y: 7}. Give prob of sequence kkk.
5/52
What is prob of sequence ok when two letters picked without replacement from iiioxiiykiyiiyyiii?
1/306
What is prob of sequence fg when two letters picked without replacement from {s: 1, f: 6, v: 1, g: 1, d: 3, q: 1}?
1/26
What is prob of sequence wwi when three letters picked without replacement from cibiiiiwiwiib?
4/429
Three letters picked wi | {
"pile_set_name": "DM Mathematics"
} |
7*d**2 as k + p*d**3 + g*d**2 + w*d and give w.
1
Rearrange 27 + 0*i**2 - 2*i**2 + 1362*i - 1341*i to the form f*i**2 + u + b*i and give b.
21
Rearrange (-4*m + 2*m - 4*m)*(3*m - 4*m + 4*m)*(222*m**2 - 6 - 225*m**2 - 44) to the form g + x*m**4 + j*m**3 + t*m + y*m**2 and give j.
0
Express -2366*r - 6086*r - 10166*r - 5947*r + 1857*r as z + g*r and give g.
-22708
Express -q - 4*q - 3*q + (10 - 4 + 5)*(1 - 1 - 2*q) - 174*q + 360*q - 113*q as x*q + m and give x.
43
Rearrange (-x - 3 + 3)*(-3 + 3 + 2) - x - 12*x - 4*x + (x + 0 + 0)*(4 - 2 - 1) - 67751 - 895*x + 67751 to q + p*x and give p.
-913
Express -891*f**3 + 17 + 23 + 887*f**3 - 91*f**2 + 89*f**2 in the form a*f**3 + k + u*f**2 + o*f and give u.
-2
Express (27405*f - 27400*f + 53 + 7)*(5 + 1 - 5 - f**2) in the form n*f**2 + g*f**3 + v*f + j and give g.
-5
Express -94*h**2 + h**4 + 3*h**3 + 487*h + 541*h - 1028*h in the form w*h**3 + i*h + m + q*h**2 + b*h**4 and give b.
1
Rearrange (-2*u + u - 3*u)*(-61*u - 55*u + 102*u) + 175*u - 10*u**2 - 175*u to v*u + z*u**2 + l and give z.
46
Express -67*z + 379 - 66*z + 140*z as l + x*z and give l.
379
Express 6763*x + 1746*x + 1386*x as j*x + o and give j.
9895
Rearrange (-1140*c + 437*c - 319*c)*(-277 - 31*c + 277) to y + z*c + o*c**2 and give o.
31682
Express 119 - 1436*x - 233 + 114 - 710*x as o*x + p and give o.
-2146
Express (-158*h + 969*h - 52*h)*(8 + h - 4 + 1) in the form c*h + f*h**2 + v and give f.
759
Rearrange 47083*b**4 - 7*b - 47081*b**4 + 2*b**2 - 11*b + 0*b**3 - 3*b**3 to the form a*b**3 + m*b + g*b**4 + v + r*b**2 and give g.
2
Rearrange 1 + 3*q**3 + 2*q**2 - 10*q - 212*q**4 + 114*q**4 + 96*q**4 to y + i*q**4 + f*q**3 + h*q**2 + c*q and give c.
-10
Express (2 + 17 - 3 + (12 + 4 - 1)*(4 - 3 - 2))*(1 - 1 + 2*g**4) as k*g**4 + f*g + v*g**3 + r + a*g**2 and give k.
2
Express (5*y - 3*y - 11*y + (4 - 1 - 1)*(-4*y - 8*y + y))*(-447*y + 450*y - 1 + 0) as b*y**2 + u*y + q and give u.
31
Rearrange -6*z - 130*z**2 + z**4 - 7 + 2*z + 66*z**2 - 4*z**3 + 63*z**2 to the form v*z + u*z**2 + s*z**3 + y + w*z**4 and give u.
-1
Express (1913*n + 626*n - 40 - 347*n + 42)*(-n - 5*n**3 - 6*n**2 + 6*n**2) as s*n + u*n**3 + f*n**2 + p + l*n**4 and give l.
-10960
Express (305*x + 1618*x - 6 + 623*x - 498*x)*(2 + 0 + 0 + x) as u*x + j + m*x**2 and give m.
2048
Express 2*p**3 + 2*p**2 - 2*p**2 + (9 + 14 - 10)*(81607*p + 1093*p**3 - 81607*p) as q*p**3 + s + j*p + t*p**2 and give q.
14211
Express 38945*n**2 - 38945*n**2 - n**4 - 822*n**3 + 14*n - 15*n as o*n**2 + d + s*n**3 + l*n**4 + j*n and give o.
0
Rearrange -139*c**2 + 951*c**4 + 120*c**2 + 2*c - 969*c**4 + 2 to the form n*c + x*c**3 + w + a*c**4 + k*c**2 and give a.
-18
Express -11111*z - 7115*z - 8135*z + 1202*z + 2259*z in the form k*z + v and give k.
-22900
Rearrange 3 - 130*m - 5 + 35*m + 35*m - 302*m**2 + 57*m to i*m**2 + f*m + n and give i.
-302
Express -12*d - 261 + 261 + 45*d - 13*d + 29*d + (-3 - 1 + 5)*(-4*d + 0*d + 3*d) as v + b*d and give b.
48
Rearrange 2*r**4 + 74393*r**2 + r**3 - r**4 - 75159*r**2 to the form k*r**4 + z*r**3 + m + p*r**2 + v*r and give z.
1
Rearrange 0 + 0 - 34513*k + 38608*k to the form x + g*k and give g.
4095
Rearrange 2187*a - 4966*a + 2291*a to s*a + n and give s.
-488
Express (-284 + 284 + 7*x)*(-2 + 23 + 10) in the form t + i*x and give i.
217
Express 22 + 236*u**2 + 14*u**3 - 17*u**3 - 228*u**2 in the form x*u**3 + h*u**2 + j*u + c and give h.
8
Express 421093*n - 19*n**2 - 442*n**3 + 7*n**2 - 421093*n as i + y*n**3 + b*n**2 + f*n and give b.
-12
Rearrange (-113 + 3 + 42 + 4 - 4 + 2 + 3 + 1 + 0 + (3 + 3 - 4)*(3 + 0 - 5))*(-5 - i + 5)*(-5 + 5 - 2*i) to the form c*i**2 + s + u*i and give c.
-132
Rearrange (-6 + 3 + 1)*(-1475 + 393 + 685)*(-3*o**2 + 2*o**2 + 0*o**2) to the form h + n*o**2 + k*o and give n.
-794
Express -5267*f + 2006*f - 2767*f - 6221*f - 6892*f + 411*f + (1 - 1 + 2)*(4*f - 4*f + 2*f) - 5*f + 3*f + 4*f in the form c + j*f and give j.
-18724
Express ((-1 + 2 + 0)*(-7 - 4 - 4) + 214 - 403 + 70)*(-38 + 38 - 19*s**2) in the form x + v*s + u*s**2 and give u.
2546
Rearrange -2 - 36*i**3 + 2*i**2 + 4*i**4 + 20*i**3 + 79*i**3 + 6*i - 2*i - 3*i to h*i + c*i**2 + l*i**4 + f + y*i**3 and give l.
4
Rearrange (a + 7 - 7)*(-2 - a + 2)*(4 - 48 - 26)*(3 - 4*a - 4 + 2*a) to the form r + v*a**2 + p*a + q*a**3 and give q.
-140
Express (-a + a + a)*(5 - 5 - a)*(-156 + 51 + 249 + 177 + 297) as c*a**2 + q*a + k and give q.
0
Rearrange 83*n**3 - 1168*n**2 + n + 976*n**2 + 2 - 86*n**3 to p*n + c*n**3 + r*n**2 + h and give c.
-3
Rearrange -3*u**2 + 16*u**3 - 18*u**3 - 2 + 53*u**4 - 2*u - 44*u**4 to w + v*u**4 + m*u**2 + g*u**3 + j*u and give j.
-2
Express -33*g**2 - 2135*g - 53*g + 31*g**2 + 2 in the form o*g**2 + h + q*g and give h.
2
Express (-540 - 434 + 433)*(-1 + 2 + 0)*(1 + 3*d - 1) in the form t + x*d and give t.
0
Express (-3052 - 4226 + 17469 + 15848 + 15376 - 701)*(0*s + 0*s - 2*s) in the form y + h*s and give h.
-81428
Rearrange (-2006 + 158*p + 2006)*(-51*p - 45*p - 20*p - 15*p) to the form t + a*p**2 + w*p and give a.
-20698
Express (-119 + 2*s - 3*s - 10)*(3*s + 2*s - 3*s)*(-6 + 1 + 1) in the form g + t*s + w*s**2 and give t.
1032
Express -31 - 268*w**2 - 36277*w + 36288*w - 4*w**3 + 31 in the form z*w + i*w**3 + q + a*w**2 and give z.
11
Express 329 + 741 + c + 408 - 114 - 240 + 2*c + c - 4*c + (1 - 5 + 2)*(c - c - c) as n*c + o and give o.
1124
Express 0 + 0 + 31784*d**2 - 23899*d**2 in the form x + y*d + s*d**2 and give s.
7885
Rearrange -50 - 184479*y**2 + 184479*y**2 - 123*y**3 to w*y**2 + j + v*y + t*y**3 and give j.
-50
Express 6*b + 2*b - 4*b + (b + b + 6*b)*(-40 - 29 + 22) as q + j*b and give j.
-372
Rearrange (190*z - 190*z + 68*z**2)*(66*z + 84*z + 37*z) to q*z**2 + g*z + d*z**3 + j and give d.
12716
Rearrange -r**2 - 2 + 8*r**3 - 2*r - 16*r**3 + 315*r**4 - 318*r**4 to the form d*r + s*r**3 + p*r**2 + t + z*r**4 and give t.
-2
Express -2*x**2 + 48 - 20*x**3 - 2*x - 33 - 8 + 0*x + 3*x in the form s + g*x + n*x**3 + y*x**2 and give n.
-20
Rearrange (40*k**2 - 20*k + 58*k - 39*k + 2)*(-14 + 148*k**2 - 142*k**2 + 5) to the form g*k + j*k**3 + b*k**4 + y*k**2 + z and give z.
-18
Express 11 + 20 - 557*v - 10 - 9 - 11 as z*v + q and give q.
1
Express u**2 - 2*u**2 + 0*u**2 + (0 - 4 + 6)*(4*u - u - 2*u)*(-8496 + 8496 - 257*u) in the form h + c*u + t*u**2 and give t.
-515
Express 1058*x - 187*x + 646*x + 2942*x in the form i + q*x and give i.
0
Express 21*c**2 + 349 - 791 + 370 + 8*c**2 - 2*c as z*c + j + h*c**2 and give z.
-2
Express (1 + 1 - 3)*(-1218*p**4 - 13642*p**4 - 13051*p**4 - 7833*p**4 + 3527*p**4) as g*p**3 + v*p**4 + f + a*p + u*p**2 and give v.
32217
Express -292 + 290 - 223*u + 58*u in the form s*u + a and give s.
-165
Rearrange 2*k - 4*k**4 + 19 + 2*k**2 + 44*k**3 + 37*k**3 - 2*k**2 - 86*k**3 to the form l + b*k**3 + o*k**4 + p*k**2 + u*k and give o.
-4
Rearrange -2*z**2 - 3*z**4 - 163 + 4*z**2 - 4*z**4 + 173 - z + 3*z**4 to the form p*z + t*z**3 + b*z**4 + x*z**2 + w and give x.
2
Express (3942 + 1562 - 1426 + 249)*(-2*h + 3*h - 3*h)*(1 + 1 - 5) as m*h + o and give m.
25962
Express (-7 + 60 - 16*w - 8*w - 2*w)*(3 - 2 - 3) as z + l*w and give z.
-106
Express (1 - 1 - o)*(16*o**2 - 1 - 3 + 2 - 13*o**2 + 2 - 2 + (26 - 14 - 17)*(3*o**2 - 5*o**2 + 0*o**2)) in the form w*o**3 + n + v*o**2 + y*o and give y.
2
Rearrange 0*x + 15749*x**2 + 0*x - 2099 + 2101 to c*x + f*x**2 + t and give t.
2
Rearrange -25 + 2*f**2 + 9988*f**4 - 19972*f**4 - f**3 - 164*f + 9982*f**4 to v*f**4 + i*f + s + j*f**2 + u*f**3 and give j.
2
Express u**4 - u - 8 - 13005*u**2 + 0 + 13027*u**2 in the form f*u**3 + z + t*u**2 + k*u**4 + i*u and give i.
-1
Rearrange (1 + 56 + 134)*(-6 - 54 + 11)*(-2*r + 4 - 4) to t*r + a and give t.
18718
Express 58*y - 543*y**2 + 1073*y**2 - 534*y**2 + 80*y in the form q*y**2 + v*y + d and give v.
138
Rearrange 2*s - 19634*s**2 - 206 + 624 - 213 - 205 to i + z*s + o*s**2 and give z.
2
Rearrange 155 + 193*d**3 - 9*d**4 - 80 - 198*d**3 + 3*d**2 + 2*d - 74 to v*d**3 + h*d**2 + n*d + y + u*d**4 and give u.
-9
Express -857*l - 27571*l + 13679 - 13679 in the form y*l + d and give y.
-28428
Rearrange 237*h + 244*h + 235*h - 1 + 9 - 721*h to the form k*h + z and give k.
-5
Rearrange (-87*f + 186*f + 1 - 1498*f)*(2*f - 17*f - 2*f) + 2*f**2 - 2*f**2 + f** | {
"pile_set_name": "DM Mathematics"
} |
in -275/113, -4, -2/5?
-275/113
What is the third smallest value in 38, 1/2, 3, -0.4, 0.4, 165?
1/2
What is the smallest value in -2/7, -4, 4, 13, -0.3, -20?
-20
Which is the second smallest value? (a) -4 (b) -30 (c) 0.1302
a
Which is the fourth smallest value? (a) -1/2 (b) -7 (c) -29 (d) 3
d
Which is the sixth smallest value? (a) -3/2 (b) -7/6 (c) -114 (d) 2/13 (e) -0.2 (f) 0.039
d
Which is the second biggest value? (a) -874 (b) -9/10 (c) -10
c
Which is the third smallest value? (a) -0.2 (b) 0.4 (c) 6851
c
Which is the fourth biggest value? (a) -1 (b) 5 (c) -1/11 (d) 464
a
What is the third smallest value in 0.4, -8/15, -1, 5, -0.1, -22?
-8/15
What is the second biggest value in -2/9, -1/251, -10, -0.5?
-2/9
What is the fifth biggest value in -2/19, 0.5, -42/13, -2/9, 4/3?
-42/13
What is the second smallest value in 2, -324.65, -6?
-6
Which is the smallest value? (a) 3/2098 (b) -5 (c) 0.2 (d) 0.04 (e) -0.5
b
What is the smallest value in 0.063, -9, 15, 2/3, -0.2?
-9
Which is the second smallest value? (a) -8 (b) -19 (c) 19 (d) 5 (e) 0.5
a
Which is the third smallest value? (a) -164.6 (b) -1 (c) 0.2 (d) -0.5 (e) -4
b
Which is the third biggest value? (a) 11 (b) 4 (c) -2/9 (d) -2 (e) 0.08
e
Which is the biggest value? (a) 6 (b) -4501 (c) 0.12
a
Which is the smallest value? (a) 10 (b) -72500 (c) 0.3
b
Which is the second biggest value? (a) 2.76 (b) 5 (c) 1/2 (d) -17 (e) 6/7
a
What is the fourth biggest value in 0.2, -3, 0, -0.08, 290?
-0.08
Which is the fourth smallest value? (a) 2.2 (b) -2/3 (c) 1/2 (d) 3 (e) -1.3
a
Which is the second smallest value? (a) -869 (b) 2/13 (c) -2 (d) -7
d
What is the fourth biggest value in 4, 134, 27/2, -0.67, -3, 2?
2
What is the second smallest value in 168, 9/2, 1/3?
9/2
Which is the smallest value? (a) 1 (b) -0.006 (c) -2 (d) -7/5
c
Which is the fifth smallest value? (a) -419 (b) -2 (c) 1/4 (d) 3 (e) 1
d
Which is the fourth smallest value? (a) -12 (b) -17/28 (c) 0.07 (d) -1
c
What is the second smallest value in 2/15, -13, -3280?
-13
What is the smallest value in 0.2, -365, -0.4, 7.8?
-365
Which is the biggest value? (a) -1.3 (b) -0.0593 (c) 3/2
c
What is the second biggest value in 2/11, -1184, -6, -0.1, 0?
0
Which is the fourth smallest value? (a) 593 (b) -4 (c) 5 (d) 2 (e) -1
c
What is the second biggest value in -70, -0.332, -0.04?
-0.332
What is the fourth smallest value in -508, 0, 0.473, 1/2, -1/10?
0.473
Which is the third biggest value? (a) 3 (b) 0.29 (c) -1/13 (d) -3 (e) 2/7
e
What is the smallest value in -363, 3, -0.1, 0.5, -1.4?
-363
What is the third biggest value in 0, 2/55, -2/37, -11/4, -1/6?
-2/37
Which is the fifth smallest value? (a) -0.03 (b) 4 (c) -3/5 (d) -1/4 (e) -13306
b
What is the second biggest value in 20, 350, 22, -3?
22
What is the second smallest value in -38, 94, -0.13?
-0.13
What is the biggest value in 4/9, -88, 7?
7
What is the second smallest value in -0.1, 12, 5033?
12
Which is the third biggest value? (a) 0.5 (b) 19 (c) 2.5 (d) 30
c
What is the biggest value in 7, 1, 1/10, 374?
374
Which is the second smallest value? (a) 0.4 (b) -162 (c) -14/11 (d) -2/5
c
Which is the third biggest value? (a) 2 (b) 0.4 (c) 27935
b
Which is the fourth smallest value? (a) -0.08 (b) -15/2 (c) -24.11 (d) -0.3
a
Which is the third biggest value? (a) 0.9 (b) -1/4 (c) -1 (d) -1/428
b
What is the second biggest value in -3/17, -1/6, 525?
-1/6
What is the third smallest value in -0.2, 1/69, -7/18, -2/3, -4?
-7/18
What is the second smallest value in -15856, 4/13, 3?
4/13
Which is the smallest value? (a) 0.3 (b) 1.9 (c) 12 (d) 0 (e) -5 (f) 3
e
What is the biggest value in 55, 0, 1445?
1445
What is the second biggest value in 0.3, -2, 0.5, 2/15, 78.7?
0.5
Which is the smallest value? (a) 2 (b) 0.1 (c) -2/5 (d) -1/4 (e) 0.2 (f) -2/157
c
Which is the second smallest value? (a) 1882 (b) -3 (c) -5 (d) 1/3
b
Which is the smallest value? (a) -161 (b) 11 (c) 2 (d) -7
a
Which is the biggest value? (a) -1012 (b) 0.1 (c) 4 (d) 5 (e) -4
d
What is the second biggest value in 10/9, 5, -10, -8.2?
10/9
What is the sixth biggest value in -21, -26, -4/3, -2/25, 0.1, -3?
-26
Which is the fifth smallest value? (a) -0.014 (b) 0.4 (c) 0.2 (d) -0.4 (e) -0.09 (f) -8/5
c
What is the third biggest value in -14, 3/4, -1, 0.12, 0.16, -28?
0.12
What is the fourth biggest value in 3, -2, 0.01, 21/5, 1?
0.01
Which is the biggest value? (a) -22 (b) 17 (c) -0.4 (d) -0.05 (e) 4 (f) 3/8
b
What is the sixth smallest value in 2/5, -3, 0.3, 4, -321, 5/2?
4
Which is the second biggest value? (a) 8/127 (b) -3 (c) -1/6 (d) 10 (e) -4
a
Which is the second biggest value? (a) 1769 (b) -19 (c) -2/7
c
What is the fifth biggest value in -0.5, 0.5, 1, 1.27, 51?
-0.5
Which is the second biggest value? (a) 2/11 (b) 0.05 (c) -4/3 (d) -2 (e) -6/5 (f) -84
b
Which is the second smallest value? (a) -1/4 (b) -4 (c) -1412/5 (d) -2/13
b
What is the sixth biggest value in -3, -0.2, -5, 1/3, -1.9, 125?
-5
What is the smallest value in 2.6, -9/22, 0.3, 0?
-9/22
Which is the biggest value? (a) 5 (b) -4 (c) -0.17 (d) 596/7
d
Which is the third biggest value? (a) 1/3 (b) 0.3 (c) 2 (d) 0.6 (e) 0.2 (f) -0.19
a
What is the smallest value in 5.71, 2/103, 3?
2/103
What is the biggest value in -0.1, -0.4, -4, -1, 2826?
2826
What is the smallest value in -4/3, 27, -1, -2/11?
-4/3
Which is the smallest value? (a) -3 (b) 5 (c) 107 (d) -5 (e) -0.17 (f) 5/3
d
Which is the smallest value? (a) 5/8 (b) 0.5 (c) -0.5 (d) -3 (e) -121
e
What is the third smallest value in -4/3, 70, -3.3, -3, -1/4?
-4/3
What is the third smallest value in 13945, 0.5, 1/7?
13945
What is the third smallest value in 2/207, 156.2, 1/3, 5, 2/7?
1/3
Which is the third biggest value? (a) 0 (b) 2465 (c) -1/4 (d) 4
a
What is the second smallest value in 2/11, -11/7, 1/4, 0.83?
2/11
Which is the second biggest value? (a) 11 (b) -5593 (c) 8
c
Which is the fifth biggest value? (a) 4 (b) -0.04 (c) -32164 (d) 5 (e) -2/5 (f) 1
e
Which is the third biggest value? (a) 224 (b) -0.6 (c) 0.009
b
What is the third biggest value in 2, -1/6, -20, -5, -0.41?
-0.41
What is the third smallest value in 0.08, 7, 14/15?
7
What is the biggest value in -948, 0.3, -144?
0.3
Which is the third smallest value? (a) 0.4 (b) 2 (c) 2/9 (d) 1508/5
b
What is the second smallest value in -1/2, 0.3, -9, 4/5, 158?
-1/2
What is the second biggest value in 1/9, 0.3, 262.6?
0.3
What is the fourth smallest value in 0.2, -5, -0.04, 1, 0.1, 4?
0.2
Which is the fifth biggest value? (a) -4 (b) -2/7 (c) 2 (d) -127/4 (e) 5
d
What is the fourth biggest value in -0.072, -12, -2/15, 9?
-12
What is the second biggest value in -1, 0.14, 11.2, -4, 2?
2
Which is the third smallest value? (a) -2/37 (b) -0.09 (c) 18 (d) 4/5
d
Which is the smallest value? (a) 0.1 (b) 61861 (c) -2/23
c
Which is the second smallest value? (a) 48 (b) 0 (c) -101
b
Which is the biggest value? (a) -5 (b) 3 (c) 1/3 (d) 2685 (e) 4
d
What is the biggest value in 3/8, 461, 5, 1?
461
Which is the biggest value? (a) -22/81 (b) -1/3 (c) 1/4 (d) 0.4
d
Which is the biggest value? (a) 0.053 (b) 110 (c) 2/11 (d) -1 (e) 0.1
b
What is the fourth biggest value in -5, -86, 4952, 2/13?
-86
Which is the fourth biggest value? (a) 0.3 (b) 2/367 (c) -0.1 (d) 0.05 (e) 0.1
b
Which is the second smallest value? (a) 9 (b) -5 (c) -0.3
c
What is the second biggest value in -216, -25, -2/9, 2/11, 0.4?
2/11
What is the fourth smallest value in 4, -1382, 2/15, 6/19, 2?
2
Which is the sixth smallest value? (a) 2/889 (b) -3 (c) -0.5 (d) -1/5 (e) -1 (f) 1
f
Which is the third biggest value? (a) 1 (b) 0.272 (c) 0.124
c
Which is the fourth biggest value? (a) 1.7 (b) -1/35 (c) 1/3 (d) 1
b
What is the fourth smallest value in -4, -5, -125, -0.2, 2/35?
-0.2
Which is the third smallest value? (a) -0.24 (b) 0.2 (c) -6 (d) 6 (e) -0.9
a
What is the second smallest value in 3, 0.2, 104, -0.4?
0.2
What is the sixth smallest value in 13, 4, -4, 317.57, 2, 2/13?
317.57
What is the smallest value in 4, 1/12, 26/47, 1.27?
1/12
Which is the fourth biggest value? | {
"pile_set_name": "DM Mathematics"
} |
Let w be (-32)/6*3/p. Suppose 2*z - 10 = 0, 0 = w*s - 3*z + z + 4490. What is s rounded to the nearest one hundred?
-1100
Suppose 299 = -3*w - 4*k, 3*w + 323 = 3*k - k. Let j be w/(-9)*(-6060)/(-21)*-3. What is j rounded to the nearest 1000?
-10000
Let y be (5/((-30)/939))/((-5)/(-620)*2). Let o(r) = 401*r + 1. Let x be o(-4). Let g = y - x. Round g to the nearest 1000.
-8000
Let a = 383 - 546. Let f = -244 - a. Let v = f + 80.907. What is v rounded to two dps?
-0.09
Let l = -91.7 - -46.8. Let x = -44.9432 - l. Round x to 3 decimal places.
-0.043
Let v = -10872 - -5596.5. Round v to the nearest one hundred.
-5300
Suppose 7*u - 6259572 = -2*u. Let l = 1310208 - u. Round l to the nearest ten thousand.
610000
Let f = -5.491 + 4.679. What is f rounded to 1 dp?
-0.8
Let y(d) = -44*d**2 + 7*d + 6. Let r be (-187)/(-33) - 2/3. Suppose -3*u = -r*u + 8. Let s be y(u). Round s to the nearest one hundred.
-700
Let y = 227.95 - -4.75. Let i = y + -256.11. What is i rounded to the nearest ten?
-20
Let x = -156678.99764459 - -156679. What is x rounded to 4 dps?
0.0024
Let y = 7889 + -7888.99998451. Round y to five dps.
0.00002
Let a = -89257 - -89317.0032. Let f = -97 + 37. Let d = f + a. What is d rounded to 3 dps?
0.003
Let y = 45.95 + -84.25. Round y to the nearest one thousand.
0
Let g = 220 - -39. Let s = g + -178. Let y = 99.3 - s. Round y to zero decimal places.
18
Suppose -2565*r - 171100000 = -2567*r. Round r to the nearest 1000000.
86000000
Let f = 181.06 - 181.056. Let r = 113 - 113.0255. Let m = r - f. What is m rounded to three dps?
-0.03
Let o = 23.196 + -22.8. Let n = o - 0.3833. What is n rounded to three dps?
0.013
Let p(u) = -32741*u - 984. Let n be p(-4). Round n to the nearest one hundred thousand.
100000
Let r be (-7 - 5)/6 - (-11 - -3). Let i be (5 - 7 - (-32)/r)*-81. Round i to the nearest 100.
-300
Let c = -0.001852641 + 113483694.001852641. Let y = -113483692.14999893 + c. Let w = y - 1.85. What is w rounded to seven decimal places?
0.0000011
Let i = -52979.054394 + 52979. What is i rounded to two decimal places?
-0.05
Let w = 61527.0040619 - 61527. What is w rounded to three decimal places?
0.004
Let l = 625 - 625.801. Let a = 1.482 + l. Round a to 0 dps.
1
Let y = -1476447.257 - -1477072. Let r = y + -625. Round r to two decimal places.
-0.26
Let p = 1555.253 + -1556. Let t = 0.74703288 + p. Round t to five decimal places.
0.00003
Let c(h) be the first derivative of h**4/4 + 5*h**3/3 - 14*h**2 + 2*h + 15. Let x be c(-9). What is x rounded to the nearest one hundred?
-100
Let p = 438 + -438.0307. Let f = p + 0.03069215. What is f rounded to seven dps?
-0.0000079
Let o = -99.88617 + 870.89578. Let n = -771 + o. Round n to three decimal places.
0.01
Suppose 73*s = -1567233 - 1667470. Let x be ((-338555)/20)/(1/4). Let u = x - s. Round u to the nearest 1000.
-23000
Let b = -3.3835 - -4.337. Let q = b + -0.99. Round q to 2 decimal places.
-0.04
Suppose -450300 = v - n, -4*v - 319731 = -2*n + 1481469. Round v to the nearest 10000.
-450000
Let g = 66.4 - 72. Let a = g - -45.6. Let v = a - 40.288. What is v rounded to one decimal place?
-0.3
Let g = 814 - -412. Let t = g - 1215.14. What is t rounded to the nearest integer?
11
Let r = 1015 - -7398. Suppose -4*m - r = 15667. Round m to the nearest one hundred.
-6000
Suppose 18*p - 2*w = 20*p + 2945002, -5*p = -5*w + 7362485. Let i be p/(-5) + (-36)/(-180). What is i rounded to the nearest ten thousand?
290000
Let r = 5898291355 - 5898291275.29998606. Let d = r + -79.7. What is d rounded to six decimal places?
0.000014
Let v = -7784.4 + 8255. Round v to the nearest 10.
470
Let r = 5530457.1138 + -5531434. Let c = r + 993.386121. Let l = -16.5 + c. What is l rounded to 5 dps?
-0.00008
Let n = -5.147207 + 5.151. What is n rounded to 4 decimal places?
0.0038
Let f = 8 - 619. Let l = f - -611.2726. Round l to two decimal places.
0.27
Let r = -15526855.8000006 - -15526833.8. Let k = 0 - 22. Let t = k - r. What is t rounded to six dps?
0.000001
Let q be (-354244)/83*10*1. Round q to the nearest 1000.
-43000
Let n be (-23)/(-2) + (-2)/4. Let t(i) = 2*i**2 - 22*i + 58. Let r(h) = 2*h - 5. Let p(f) = -10*r(f) - t(f). Let w be p(n). Round w to the nearest one hundred.
-200
Let o(h) be the first derivative of -227*h**3 - 4*h**2 - 25*h - 14. Let w be o(-3). What is w rounded to the nearest one hundred?
-6100
Let s = -4671 + 4671.20472. Round s to 3 dps.
0.205
Let a be (3/(-2) - -1)*(7 + -25). Let y be 9/a - (-244)/(-2). Let j = y + 76. What is j rounded to the nearest 10?
-50
Let u(r) = 15004*r - 24. Let v = 16 - 8. Let q be u(v). Suppose 0 = 3*p - t + 90004, p - 2*t = -3*p - q. Round p to the nearest 10000.
-30000
Let i = 0.766492606 - 0.7665. What is i rounded to 6 dps?
-0.000007
Suppose h + 4*z = -5357368, -3*h - 16072232 = 131*z - 135*z. What is h rounded to the nearest one million?
-5000000
Let i = -1352.4121202 + 1366.0121. Let u = 13.6 - i. What is u rounded to five dps?
0.00002
Let t be (9336300/9)/(((-3)/9)/1). What is t rounded to the nearest ten thousand?
-3110000
Let j = 96.84 + -113.9. Let f = j + 15.6. Let x = -1.4599858 - f. Round x to 5 dps.
0.00001
Let s = 16357 - 16356.99980763. What is s rounded to six dps?
0.000192
Let z = -2.7453 - -2.7. Let m = z - -0.04505. Round m to 5 dps.
-0.00025
Let f = 883.00011624 - 883. What is f rounded to four decimal places?
0.0001
Let t = -7.832 + 6.95. Let p = t + -0.038. Let z = -0.52 - p. Round z to the nearest integer.
0
Let l = 0.1077 - 119.7077. Let c = l - -118.054. What is c rounded to 1 decimal place?
-1.5
Let j = 38 + -97. Let y = 71 + j. Let q be 8/(-2)*63000009/y + 3. Round q to the nearest 1000000.
-21000000
Let l = -62 + 6. Let s be (l/6)/(10/1987500*5). Round s to the nearest 10000.
-370000
Let w(x) = 23*x**3 + x**2 + 13*x - 11. Let a be w(-10). Let s = a + 13637. Let q = -7196 + s. What is q rounded to the nearest one thousand?
-17000
Let c = 766 - 467. Let p = 246.1 - c. Round p to the nearest integer.
-53
Let n = -71217 - -37131. What is n rounded to the nearest 1000?
-34000
Let q = -2.06 + -117.94. Let g = -120.0217 - q. Round g to three dps.
-0.022
Let u(d) = 2*d**3 + 4*d**2 + d**3 - 2*d**2 + d - 2*d**3. Let o be u(0). Suppose o = -f + 32 + 2768. What is f rounded to the nearest one thousand?
3000
Let z = 22255 + -22254.99985479. Round z to 6 dps.
0.000145
Let m = -28526 + 28516.3664. Round m to 1 dp.
-9.6
Let u = -4187 + 4221.59. Round u to 0 decimal places.
35
Let y = 315 - 129. Let z = y + -186.0012. Round z to three decimal places.
-0.001
Let v = 53 + -71. Let i be ((-8)/9)/(4/v). Suppose m + 4*h = 6*m - 148500004, i*m = 5*h + 118800005. What is m rounded to the nearest one million?
30000000
Suppose -3*f + 8 + 7 = 0. Suppose -x = -d - 153, d - 8 = f*d. Let i be (x - 1)*12/1. Round i to the nearest one thousand.
2000
Let p = 55268 + -55268.000050142. Round p to 6 dps.
-0.00005
Let g = 17.8 - 17.89. Let y = -0.1439 - g. Round y to 3 decimal places.
-0.054
Let p = 0.0430763 - 99.0322763. Let t = -28.89 - -127.89. Let f = t + p. What is f rounded to 3 dps?
0.011
Let n = 1.845 - 7.257. Let o = -0.78 - n. Round o to 1 decimal place.
4.6
Let s(l) = 0*l + 4*l + 38 + 11 - 8*l. Let c be s(16). What is c rounded to the nearest integer?
-15
Let k(v) = 842637*v**3 - 6*v**2 + 9*v - 1. Let i be k(13). Suppose 18*u - i = 1136727409. What is u rounded to the nearest 1000000?
166000000
Let n = -3607768799.81 + 3665259424. Let l = n + -57490716.19000252. Let c = l - -92. Round c to seven dps.
-0.0000025
Let o = 4175 - 3939.24. Round o to the nearest integer.
236
Let z = 96.62 - 96.6199987549. What is z rounded to 7 dps?
0.0000012
Let v = 7613 + -7608. Let t = -1 - -1. Suppose 3*s - v*z - 900010 = t, s - 2*z + 4*z = 299996. Round s to the nearest 1000000.
0
Let o = 2502618070.998819 + -2502619812. Let m = o + 1741. Round m to 4 dps.
-0.0012
Let u(l) = l**3 + 15*l**2 + 31*l + 67. Let s be u(-13). Let k = 15 + -11. Suppose -189990 = -5*t + k*r + r, -3*t + s*r = -113996. Round t to the nearest 10000.
40000
Let f = -12010.41 + 11889. Let n = 132.1 + f. What is n rounded to the nearest integer?
11
Suppose 3*u + 9*u - 1119744 = 0. Let a = u + -39612. What is a rounded to the nearest ten thousand?
50000
Let c = 6047237 - 6038624.054. Let q = c - 862 | {
"pile_set_name": "DM Mathematics"
} |
328304/3 = 0.
-17, 12, 284
Factor -p**2/4 + 1233*p/4 - 2754.
-(p - 1224)*(p - 9)/4
Let 5*p**4 + 5*p**3 - 640*p**2 + 3420*p - 5040 = 0. What is p?
-14, 3, 4, 6
Factor -3*g**2/4 + 1035*g/4 - 9348.
-3*(g - 304)*(g - 41)/4
Factor -9*g**2/5 + 7044*g/5 - 74112/5.
-3*(g - 772)*(3*g - 32)/5
Factor 4*w**2 - 6308*w + 130704.
4*(w - 1556)*(w - 21)
Factor -2*n**3 - 10*n**2 + 832*n - 4200.
-2*(n - 14)*(n - 6)*(n + 25)
Factor 78*f**2 + 172070*f + 4412.
2*(f + 2206)*(39*f + 1)
Solve -5*b**3/2 + 1615*b**2/2 - 114975*b/2 + 2359125/2 = 0.
45, 233
Let -k**2 + 36900*k - 340402500 = 0. What is k?
18450
Determine f, given that -f**4/3 + 1457*f**3/3 - 521101*f**2/3 - 2347835*f + 2521050 = 0.
-14, 1, 735
Find i, given that -i**2/3 - 176*i/3 - 1645 = 0.
-141, -35
Let 20*i**3/7 - 1442242*i**2/7 + 26000846944*i/7 - 2600070272/7 = 0. What is i?
1/10, 36056
Find w, given that -63*w**5/4 + 408*w**4 - 2931*w**3/4 + 609*w**2/2 + 36*w = 0.
-2/21, 0, 1, 24
Factor t**2 + 407021*t - 407022.
(t - 1)*(t + 407022)
Factor 5*p**2 + 3060*p + 428575.
5*(p + 217)*(p + 395)
Factor -g**3/7 - 7422*g**2/7 + 4*g/7 + 29688/7.
-(g - 2)*(g + 2)*(g + 7422)/7
Suppose -2*n**3/9 + 6086*n**2/9 - 4804240*n/9 + 262675552/9 = 0. What is n?
59, 1492
Let n**5/3 - 2665*n**4/3 - 107762*n**3/3 - 1184030*n**2/3 - 2055439*n/3 - 976505/3 = 0. What is n?
-19, -1, 2705
Determine b so that -6135*b**2 + 5*b = 0.
0, 1/1227
Factor -25*h**4 - 3520*h**3 - 6965*h**2 - 3470*h.
-5*h*(h + 1)**2*(5*h + 694)
Factor 3*j**3 + 1140*j**2 - 50172*j + 95760.
3*(j - 38)*(j - 2)*(j + 420)
Determine p, given that 2198*p**4/3 - 39560*p**3/9 - 2206*p**2/3 + 39560*p/9 + 8/3 = 0.
-1, -2/3297, 1, 6
Factor -2*i**3/9 - 471820*i**2/9 - 27826764050*i/9.
-2*i*(i + 117955)**2/9
Let 4*w**2 + 18524*w - 18528 = 0. What is w?
-4632, 1
Factor 3*l**3 + 2613*l**2 + 585585*l + 7177599.
3*(l + 13)*(l + 429)**2
Suppose 9*o**2/4 - 250845*o/2 + 167229/4 = 0. What is o?
1/3, 55743
What is a in 2*a**3/3 + 86482*a**2/21 + 8236*a/7 = 0?
-6177, -2/7, 0
Find n, given that 2*n**5 - 57*n**4 - 580*n**3 - 210*n**2 + 2378*n - 1533 = 0.
-7, -3, 1, 73/2
Determine p, given that -2*p**3/5 + 43136*p**2/5 - 46509234*p - 93052980 = 0.
-2, 10785
Factor -j**3/2 - 89865*j**2/2 + 89871*j + 359468.
-(j - 4)*(j + 2)*(j + 89867)/2
Factor -j**5/4 - 14674*j**4 - 58695*j**3/4.
-j**3*(j + 1)*(j + 58695)/4
Suppose 4*b**3 - 152*b**2 - 4816*b + 10208 = 0. What is b?
-22, 2, 58
Suppose 5*i**4 + 570*i**3 - 23205*i**2 + 22630*i = 0. Calculate i.
-146, 0, 1, 31
Determine t so that 4*t**4 - 168*t**3 - 724*t**2 - 552*t = 0.
-3, -1, 0, 46
Solve -3*j**2/5 + 5301*j - 26502/5 = 0.
1, 8834
Factor -2*t**2 + 217168*t - 434328.
-2*(t - 108582)*(t - 2)
Factor 3*x**3 - 2601*x**2 + 35865*x - 33267.
3*(x - 853)*(x - 13)*(x - 1)
Factor -36*m**3 + 5052*m**2 - 184576*m + 509232.
-4*(m - 3)*(3*m - 206)**2
Determine o, given that 2*o**4 - 19056*o**3 + 38102*o**2 + 19056*o - 38104 = 0.
-1, 1, 2, 9526
Find h such that -3*h**2 - 242919*h + 242922 = 0.
-80974, 1
Suppose -v**4/6 + 10*v**3/3 - 107*v**2/6 + 56*v/3 + 40 = 0. Calculate v.
-1, 4, 5, 12
Factor 3*y**2 + 87*y - 7956.
3*(y - 39)*(y + 68)
Determine m so that -5*m**4 + 2525*m**3 + 7620*m**2 + 20*m - 10160 = 0.
-2, 1, 508
Solve -3*c**2/2 - 18657*c - 116027883/2 = 0 for c.
-6219
Suppose -2*g**3/21 + 4066*g**2/21 - 580*g/3 - 8128/21 = 0. Calculate g.
-1, 2, 2032
Suppose -2*b**2/11 + 400732*b/11 - 20073266978/11 = 0. What is b?
100183
Factor -3*d**2/7 + 1251*d/7 + 89094/7.
-3*(d - 479)*(d + 62)/7
Factor -v**3 + 1302*v**2 - 3899*v + 2598.
-(v - 1299)*(v - 2)*(v - 1)
Suppose 3*d**4 - 9306*d**3 - 309276*d**2 - 3410022*d - 12518055 = 0. Calculate d.
-11, 3135
Let -28*f**2 - 1544*f - 2976 = 0. What is f?
-372/7, -2
Factor 2*z**2/7 - 600*z/7 - 1350.
2*(z - 315)*(z + 15)/7
Let 2*a**3/11 - 986*a**2/11 + 8640*a + 6852600/11 = 0. What is a?
-47, 270
Solve 5*l**4 + 4175*l**3 + 49620*l**2 + 197840*l + 263360 = 0.
-823, -4
Suppose 4*v**3 - 46196*v**2 + 184736*v - 184720 = 0. What is v?
2, 11545
Suppose s**3/8 - s**2 - 9*s/8 = 0. Calculate s.
-1, 0, 9
Factor -2*p**2/3 - 352*p + 67800.
-2*(p - 150)*(p + 678)/3
Factor s**4 - 20*s**3 + 128*s**2 - 256*s.
s*(s - 8)**2*(s - 4)
Factor -8*b**3/5 - 5066*b**2/5 - 1266*b/5.
-2*b*(b + 633)*(4*b + 1)/5
Suppose -r**4/2 - 46*r**3 - 853*r**2/2 - 1371*r - 1476 = 0. Calculate r.
-82, -4, -3
Factor -5*l**2/4 - 5655*l/4 + 8505/2.
-5*(l - 3)*(l + 1134)/4
Solve 2*i**2/3 + 1528*i/3 + 11362 = 0 for i.
-741, -23
Determine y so that 10*y**2 + 2582215*y - 1291110 = 0.
-258222, 1/2
Find y such that -y**2/5 + 4501*y/5 + 4506 = 0.
-5, 4506
What is a in -a**4/9 - 1291*a**3/9 + 1297*a**2 - 3897*a + 3900 = 0?
-1300, 3
Find o such that 9*o**5/5 - 1929*o**4/5 - 11127*o**3/5 - 20391*o**2/5 - 15162*o/5 - 792 = 0.
-3, -1, -2/3, 220
Factor -44402*t**3/3 - 86420*t**2/3 + 4736*t/3 - 64/3.
-2*(t + 2)*(149*t - 4)**2/3
Factor 9*b**3/7 + 96699*b**2/7 - 64469*b/7 + 1535.
(b + 10745)*(3*b - 1)**2/7
Factor 2*f**5 + 746*f**4 + 2226*f**3 + 2222*f**2 + 740*f.
2*f*(f + 1)**3*(f + 370)
Factor -136255*n**3/2 - 136105*n**2/2 + 75*n.
-5*n*(n + 1)*(27251*n - 30)/2
Factor -3*g**2 - 2907*g - 25920.
-3*(g + 9)*(g + 960)
What is p in -4*p**3 - 500*p**2 + 21888*p - 208656 = 0?
-161, 18
Suppose -5*w**2 - 66710*w + 133440 = 0. Calculate w.
-13344, 2
Let 4*t**5/9 + 20*t**4/9 + 28*t**3/9 - 4*t**2/9 - 32*t/9 - 16/9 = 0. Calculate t.
-2, -1, 1
Let b**2/7 - 349*b/7 - 1566 = 0. Calculate b.
-29, 378
Factor c**2/5 - 72676*c/5 + 290688/5.
(c - 72672)*(c - 4)/5
What is s in 2*s**4/11 + 136*s**3/11 - 1484*s**2/11 - 7624*s/11 - 546 = 0?
-77, -3, -1, 13
Factor 6*i**2/11 - 66024*i/11 + 181632024/11.
6*(i - 5502)**2/11
Suppose 4*p**5 + 22500*p**4 + 44972*p**3 - 67508*p**2 - 179952*p - 89968 = 0. What is p?
-5623, -2, -1, 2
Factor 35378*v**3/3 - 154014*v**2 + 9232*v - 416/3.
2*(v - 13)*(133*v - 4)**2/3
Factor -t**3 + 24360*t**2 - 148328037*t - 296753522.
-(t - 12181)**2*(t + 2)
Solve -j**4/6 + 47*j**3/6 + 1167*j**2/2 - 22727*j/6 - 13090/3 = 0.
-44, -1, 7, 85
Factor -25*m**2/3 - 2280*m + 2740/3.
-5*(m + 274)*(5*m - 2)/3
Factor c**2/4 + 77*c + 2691/4.
(c + 9)*(c + 299)/4
Solve -3*z**5/2 + 69*z**4/2 - 297*z**3/2 - 321*z**2/2 + 1500*z - 1224 = 0.
-3, 1, 4, 17
Factor c**2/4 + 5675*c/2.
c*(c + 11350)/4
Determine b, given that -5*b**5/6 - b**4/2 + 100*b**3/3 + 20*b**2 - 120*b - 72 = 0.
-6, -2, -3/5, 2, 6
Suppose 20*u**4 - 3085*u**3 - 11850*u**2 = 0. What is u?
-15/4, 0, 158
Determine c so that c**2/5 - 1397*c/5 + 22794 = 0.
87, 1310
Factor 2*u**2/19 + 4686*u/19 - 4688/19.
2*(u - 1)*(u + 2344)/19
Find g such that 4*g**3 + 232*g**2 + 736*g - 6912 = 0.
-54, -8, 4
Factor -g**3/9 + 2173*g**2/9 - 1179395*g/9 - 1181569/9.
-(g - 1087)**2*(g + 1)/9
Solve 20*s**5 - 84*s**4 - 732*s**3 + 2500*s**2 - 2568*s + 864 = 0.
-6, 1, 36/5
Let 2*j**5/7 - 1014*j**4/7 - 6*j**3/7 + 434*j**2 + 2028*j/7 = 0. Calculate j.
-1, 0, 2, 507
Factor 15*y**2 - 272244*y - 108900.
3*(y - 18150)*(5*y + 2)
Find t, given that t**5 - 7*t**4 - 2*t**3 + 14*t**2 + t - 7 = 0.
-1, 1, 7
Solve -4*i**5 - 9440*i**4 + 47268*i**3 - 75664*i**2 + 37840*i = 0.
-2365, 0, 1, 2
Let -3*g**5/5 - 36*g**4 + 39*g**3/5 + 2304*g**2/5 - 432*g = 0. What is g?
-60, -4, 0, 1, 3
Factor -d**2/4 + 102911*d/4 + 102913/2.
-(d - 102913)*(d + 2)/4
Determine d so that -50*d**4 + 124660*d**3 - 149544*d**2 + 299056*d/5 - 39872/5 = 0.
2/5, 2492
Let d**5/4 - 4833*d**4/2 - 19337*d**3/2 - 14504*d**2 - 38679*d/4 - 4835/2 = 0. What is d?
-1, 9670
Factor -4*j**3/3 + 99280*j**2/3 - 99268*j.
-4*j*(j - 24817)*(j - 3)/3
Find n such that -2*n**3/3 + 386*n**2/3 + 1600*n/3 - 1576 = 0.
-6, 2, 197
Solve -4*s**3 + 139452*s**2 + 557856*s + 557872 = 0.
-2, 34867
Determine j, given that -2*j**4 + 26914*j**3/3 + 26932*j**2/9 - 71768*j/9 - 35888/9 = 0.
-2/3, 1, 4486
Let -5*i**2/4 + 109740*i - 2408573520 = 0. What is i?
43896
Solve -2*h**3/3 + 460*h**2 - 8224*h/3 + 3648 = 0.
2, 4, 684
Solve 5*d**5 - 51670*d**4 + 133695990*d**3 - 1067347080*d**2 + 2799869085*d - 2399091210 = 0 for d.
2, 3, 5163
Determine u so that 531*u**4/2 + 13269*u**3/2 + 92775*u**2/2 + 198075*u/2 - 1125 = 0.
-15, -5, 2/177
What is k in 3*k**3 + 357*k**2/4 + 558*k + 783 = 0?
-87/4, -6, -2
What is v in 432*v**4 - 6484*v**3 + 7836*v**2 + 44856*v - 416 = 0?
-2, 1/108, 4, 13
Solve f**5/2 - 62*f**4 - 130*f**3 + 504*f**2 = 0 for f.
-4, 0, 2, 1 | {
"pile_set_name": "DM Mathematics"
} |
*i + 1 + 72*i**2 + 10*i. Let x be p(-6). Suppose -2*v + 0*z + 5210 = 5*z, v - x = -2*z. What is v rounded to the nearest 1000?
3000
Let c = 1.54 + 1.01. Let k = 0.199 - 1.199. Let u = k + c. What is u rounded to 1 decimal place?
1.6
Let s = 848947 + -588947. Suppose -s = -8*h + 13*h. What is h rounded to the nearest ten thousand?
-50000
Let h = 6174 - 2992. What is h rounded to the nearest one hundred?
3200
Let m = 0.3015 + -0.1083. Let z = -0.2 + m. Round z to 3 decimal places.
-0.007
Let h = 137 - 46. Let m = 90.99999979 - h. Round m to 7 dps.
-0.0000002
Let r be (-20)/3 + (-15)/45. Let b = -2 - r. Suppose 2*h - b*g + 331985 = -2*h, 2*g = -h - 83006. Round h to the nearest 10000.
-80000
Let d = 98 - 98.004. Let x = 0.31 - 0.3. Let r = x + d. What is r rounded to 2 dps?
0.01
Let d(h) = -12 - 3*h**2 - 13*h**3 - 8*h**3 - h**2 + 6*h + h**2. Let a be d(-9). What is a rounded to the nearest 10000?
20000
Let y = -0.0218 + 0.024912. Round y to four decimal places.
0.0031
Let i = 0.47 - 1.11. Let j = i - -0.63999946. What is j rounded to seven dps?
-0.0000005
Let a = -55.2 - -55.881. What is a rounded to one decimal place?
0.7
Let j be ((-5)/(-2))/(8/(-16)). Let h be 1 - 2 - (-9 - j). Suppose -3*g - 2*l = 14108, -3*l + 23488 = -2*g - h*g. What is g rounded to the nearest one thousand?
-5000
Let l = -2560 - -2560.0001437. Round l to five dps.
0.00014
Let b be (-1)/(-1)*-1*-27. Let x be 1412/6*b/18. Suppose -147 = p + x. What is p rounded to the nearest one thousand?
-1000
Let v = -900 + 1825. Suppose 5*p - p = 5*h - v, 2*h + p = 370. Let z = -109 + h. What is z rounded to the nearest ten?
80
Let h = -423.999749 - -424. Round h to four decimal places.
0.0003
Suppose 0 = -3*c + 5*u + 794080, -2*c - 16*u = -13*u - 529412. Round c to the nearest ten thousand.
260000
Let x = -43 - -84. Let s = 40.99999999 - x. What is s rounded to 7 dps?
0
Let k = -902.5 + 385.8. Round k to the nearest 100.
-500
Let a = 0.03 - -0.02. Let l = -0.12 + a. Let i = l + 0.67. What is i rounded to zero decimal places?
1
Let k = 37 + -13. Let w = k + -7. Let o = w + -17.044. Round o to two dps.
-0.04
Let p = -0.015 - -16.015. Let t = -15.9999905 + p. Round t to 6 decimal places.
0.00001
Let h = -11.8 - -7. Let d = 4 + h. Let w = d + 0.8000036. Round w to six decimal places.
0.000004
Let z = -72 - -51. Let o = 21.0103 + z. Round o to 3 dps.
0.01
Let v = -248.440915 - -381.4404. Let t = -133 + v. Round t to five dps.
-0.00052
Let w = -684 + 680.3304. Let p = w + 3.42. Let a = -0.25 - p. What is a rounded to 3 dps?
0
Let j = -437 + 436.9857. What is j rounded to two dps?
-0.01
Let l = -352.05 + 5.05. Let v = -347.00157 - l. What is v rounded to four dps?
-0.0016
Let y = 2.63 + -110.63. Let b = y + 110.5. Round b to the nearest integer.
3
Let l = 348 - -118. Let d = -466.0502 + l. Round d to 3 decimal places.
-0.05
Let s(t) = -75354*t - 3. Let h be s(-1). Let y = -264649 - h. Round y to the nearest 100000.
-300000
Suppose 0 = -m + 5408 - 26378. What is m rounded to the nearest 1000?
-21000
Let b be (19500/(-2))/((-40)/3680). What is b rounded to the nearest ten thousand?
900000
Suppose -s + 3*s + 8 = 0. Let t(z) = 276*z + 4. Let r be t(s). Round r to the nearest one thousand.
-1000
Let c = -4232.54 - -4389. Let q = 158 - c. What is q rounded to 1 decimal place?
1.5
Let k = -0.81 - -55.81. Let j = 54.971 - k. Let d = j - 1.031. What is d rounded to 1 decimal place?
-1.1
Let q = -0.779 + 1.5. What is q rounded to one dp?
0.7
Let d = 243.3 + -243.302438. Round d to 4 dps.
-0.0024
Let t = -284.5524 + 0.3524. What is t rounded to the nearest ten?
-280
Let c be (-50001)/5 + 8/40. What is c rounded to the nearest ten thousand?
-10000
Let y = -35447.806033434 - 4.783536566. Let l = y - -35452. Let k = 0.59 + l. What is k rounded to four decimal places?
0.0004
Let f = 2.8 + -3.06. Let t = f - -3.36. Let d = t + -3.09999743. Round d to 7 decimal places.
0.0000026
Let b = -0.98 - -0.9185. Let u = 0.07 + b. Round u to 3 dps.
0.009
Let w be ((-66407234)/(-4)*1 - 0)*-2. Let p = -79103617 - w. What is p rounded to the nearest 1000000?
-46000000
Let a = -18.1 + 18.1000345. What is a rounded to five decimal places?
0.00003
Let u(n) = -19*n + 10. Let x = 27 + -35. Let g be u(x). What is g rounded to the nearest ten?
160
Let u = -688164.071493 + 687710.071492329. Let f = 454 + u. What is f rounded to seven dps?
-0.0000007
Let l = 213096042761111 + -213095934968603.000079. Let c = l - 107792424. Let h = c + -84. Round h to 5 dps.
-0.00008
Suppose -4 = 2*x - 5*f - 36, 0 = -3*x - 4*f + 2. Let u(n) = -65*n**3 - 6*n**2 - 10*n + 16. Let q be u(x). Round q to the nearest 1000.
-14000
Let x = -15 + -3. Let c = 2.872369 + 15.127061. Let j = c + x. Round j to four dps.
-0.0006
Let f be (-5615997)/(-18) + 5/30. Suppose -2*h - f = 2*h. What is h rounded to the nearest 10000?
-80000
Let d = -0.294 + 0.603. Let k = 0.26 - d. What is k rounded to 2 dps?
-0.05
Suppose 2*k - 64346 = -418546. Round k to the nearest 10000.
-180000
Let m = 400 + -657. Let p = m - -215.2. Round p to 0 dps.
-42
Let m = -13.7 - 4.3. Let a = 17.3469 + 0.0531. Let w = m + a. What is w rounded to the nearest integer?
-1
Let m be 0 - (0 + 6/(-3)). Suppose -m*j - 4*q = 205980, j + 0*j + 103025 = 5*q. Round j to the nearest 10000.
-100000
Let x = 2.99 + -3. Let k = 26.4 - 26.4109. Let a = x - k. Round a to 3 decimal places.
0.001
Let b = 3577 + -1195. Round b to the nearest one hundred.
2400
Suppose -2*d + 4*d - 3*t - 668385 = 0, 334173 = d + 5*t. Suppose -3*y - d = 1615812. Round y to the nearest one hundred thousand.
-700000
Let n = 1826 + -1673.45. Round n to the nearest 10.
150
Let j = 5684 + -5493.54. Let b = -108.8 + j. Let o = -80 + b. Round o to 1 decimal place.
1.7
Let i = -14404081 + 14404068.0000078. Let m = 13 + i. What is m rounded to 6 decimal places?
0.000008
Let f = 0.1053453932 - -167.1766537068. Let d = f - 167.082. Let g = 0.2 - d. What is g rounded to six dps?
0.000001
Let k = -25.922 - -26. Let n = k - 0.036. What is n rounded to two decimal places?
0.04
Let b = 1169.175787 - -10739.724473. Let u = b + -11909. Let o = u + 0.1. Round o to four dps.
0.0003
Let r = 488.6 - 580.36. Round r to the nearest 10.
-90
Suppose 0 = 1041*i - 1070*i + 875220. Round i to the nearest 10000.
30000
Let s = 47215.33837631371 - 0.03852831371. Let r = -47215 + s. Let f = r - 0.3. What is f rounded to 5 decimal places?
-0.00015
Let n = -25 + -51. Let i = n - -75.9999898. Round i to 6 decimal places.
-0.00001
Let x = -20028690.0753042 + 20194012.0603. Let a = -165322 + x. Let j = -0.015 - a. Round j to six decimal places.
0.000004
Let k = -64 + 20. Let j be (-47038)/(-8) + (-11)/k. Round j to the nearest 1000.
6000
Suppose 9*t + 1233496 = 6435496. What is t rounded to the nearest ten thousand?
580000
Let t = -139.9375153 + 172.93751535. Let p = t + -33. What is p rounded to 7 dps?
0.0000001
Let a = -8071034287 + 8071034561.00001032. Let r = a + -274. What is r rounded to 6 dps?
0.00001
Let m be -11 - 311729/((-55)/(-5)). What is m rounded to the nearest 1000?
-28000
Let r = -0.27 + 0.257. Let z = 30.013 + r. Let b = z - 30.000021. Round b to 6 decimal places.
-0.000021
Let v = 2307 - 2307.0669. Round v to two decimal places.
-0.07
Let v = 1786161.480095 + -1730863.0801. Let x = v + -55298. Let f = 0.4 - x. What is f rounded to five dps?
0.00001
Let y = -55 - -22. Let r = y - -32.994. Round r to 2 decimal places.
-0.01
Let w = 305 + -304.9999713. Round w to 6 dps.
0.000029
Let w be (-2)/19 - (-2387349990)/(-95). Round w to the nearest one million.
-25000000
Let t = -0.0543 - 4.9277. Round t to the nearest integer.
-5
Let c = 1.9 - 19.9. Let z = c + 32. Let b = z + -14.0035. What is b rounded to 3 decimal places?
-0.004
Let x be (-10540 - (0 + -1))*1. Let s be ((-2113)/(-2))/(5/30). Let n = x + s. What is n rounded to the nearest one thousand?
-4000
Let q = 12.846 + -13. Let z = 0.15795 + q. What is z rounded to four dps?
0.004
Let l = -870.00807 + 870. Round l to four dps.
-0.0081
Suppose 2 = 3*q + 14. Let v = q - -15. What is v rounded to the nearest ten?
10
Let p = 601 - 600.99999584. Round p to six decimal places.
0.000004
Let x = 0.0003 + 0.9507. Let l = 0.57 - x. Let v = l + 0.4. Round v to two dps.
0.02
Let x = 0.0493 - 0.1736. What is x ro | {
"pile_set_name": "DM Mathematics"
} |
he power of 1/3, to the nearest integer?
141
What is 372070 to the power of 1/3, to the nearest integer?
72
What is 465225 to the power of 1/7, to the nearest integer?
6
What is the third root of 469487 to the nearest integer?
78
What is 20339356 to the power of 1/5, to the nearest integer?
29
What is the square root of 2512562 to the nearest integer?
1585
What is 741806 to the power of 1/2, to the nearest integer?
861
What is 942372 to the power of 1/2, to the nearest integer?
971
What is 3285289 to the power of 1/2, to the nearest integer?
1813
What is 5107363 to the power of 1/6, to the nearest integer?
13
What is 14477156 to the power of 1/5, to the nearest integer?
27
What is the third root of 8357545 to the nearest integer?
203
What is 593938 to the power of 1/6, to the nearest integer?
9
What is 919793 to the power of 1/9, to the nearest integer?
5
What is the third root of 502278 to the nearest integer?
79
What is the fourth root of 2912935 to the nearest integer?
41
What is 20929413 to the power of 1/4, to the nearest integer?
68
What is the fourth root of 11841 to the nearest integer?
10
What is the square root of 2673662 to the nearest integer?
1635
What is 88293 to the power of 1/9, to the nearest integer?
4
What is the fifth root of 7253 to the nearest integer?
6
What is the fourth root of 15964878 to the nearest integer?
63
What is 5687318 to the power of 1/2, to the nearest integer?
2385
What is 244400 to the power of 1/6, to the nearest integer?
8
What is the fourth root of 1378276 to the nearest integer?
34
What is 5088254 to the power of 1/2, to the nearest integer?
2256
What is the eighth root of 7022407 to the nearest integer?
7
What is 5751418 to the power of 1/9, to the nearest integer?
6
What is 634231 to the power of 1/5, to the nearest integer?
14
What is 75297 to the power of 1/2, to the nearest integer?
274
What is 321047 to the power of 1/2, to the nearest integer?
567
What is the seventh root of 7563866 to the nearest integer?
10
What is the seventh root of 141569 to the nearest integer?
5
What is the fourth root of 80512 to the nearest integer?
17
What is 4082639 to the power of 1/2, to the nearest integer?
2021
What is 1570678 to the power of 1/3, to the nearest integer?
116
What is 10411070 to the power of 1/6, to the nearest integer?
15
What is the square root of 16569859 to the nearest integer?
4071
What is the cube root of 344338 to the nearest integer?
70
What is the cube root of 3688521 to the nearest integer?
155
What is 334084 to the power of 1/3, to the nearest integer?
69
What is the cube root of 5096814 to the nearest integer?
172
What is the square root of 2277674 to the nearest integer?
1509
What is 9662968 to the power of 1/2, to the nearest integer?
3109
What is the ninth root of 516061 to the nearest integer?
4
What is the third root of 551362 to the nearest integer?
82
What is 4286899 to the power of 1/2, to the nearest integer?
2070
What is the square root of 144301 to the nearest integer?
380
What is 426123 to the power of 1/6, to the nearest integer?
9
What is 1161182 to the power of 1/2, to the nearest integer?
1078
What is 12330691 to the power of 1/4, to the nearest integer?
59
What is the square root of 8660 to the nearest integer?
93
What is 2017541 to the power of 1/10, to the nearest integer?
4
What is the tenth root of 5946976 to the nearest integer?
5
What is the third root of 958748 to the nearest integer?
99
What is 129916 to the power of 1/2, to the nearest integer?
360
What is 210098 to the power of 1/7, to the nearest integer?
6
What is the fifth root of 33460 to the nearest integer?
8
What is the sixth root of 455153 to the nearest integer?
9
What is 175282 to the power of 1/3, to the nearest integer?
56
What is the cube root of 400307 to the nearest integer?
74
What is 386497 to the power of 1/8, to the nearest integer?
5
What is the third root of 494200 to the nearest integer?
79
What is 1895133 to the power of 1/2, to the nearest integer?
1377
What is 14952185 to the power of 1/2, to the nearest integer?
3867
What is the square root of 661588 to the nearest integer?
813
What is the cube root of 67914 to the nearest integer?
41
What is the square root of 4246869 to the nearest integer?
2061
What is the eighth root of 1294728 to the nearest integer?
6
What is the square root of 245906 to the nearest integer?
496
What is 3034551 to the power of 1/3, to the nearest integer?
145
What is the third root of 170585 to the nearest integer?
55
What is the cube root of 337249 to the nearest integer?
70
What is 2107697 to the power of 1/2, to the nearest integer?
1452
What is the cube root of 27548 to the nearest integer?
30
What is the square root of 5118342 to the nearest integer?
2262
What is the square root of 194168 to the nearest integer?
441
What is the fourth root of 8276993 to the nearest integer?
54
What is the cube root of 147758 to the nearest integer?
53
What is 4476691 to the power of 1/10, to the nearest integer?
5
What is 31447 to the power of 1/2, to the nearest integer?
177
What is 1549749 to the power of 1/7, to the nearest integer?
8
What is the cube root of 174984 to the nearest integer?
56
What is 260835 to the power of 1/2, to the nearest integer?
511
What is 72535 to the power of 1/4, to the nearest integer?
16
What is 4081825 to the power of 1/2, to the nearest integer?
2020
What is the square root of 5511861 to the nearest integer?
2348
What is the cube root of 1148153 to the nearest integer?
105
What is the square root of 3147539 to the nearest integer?
1774
What is 403642 to the power of 1/2, to the nearest integer?
635
What is 1062117 to the power of 1/4, to the nearest integer?
32
What is 2566861 to the power of 1/2, to the nearest integer?
1602
What is the fourth root of 127131 to the nearest integer?
19
What is the cube root of 109917 to the nearest integer?
48
What is 12502853 to the power of 1/4, to the nearest integer?
59
What is 4156324 to the power of 1/2, to the nearest integer?
2039
What is the ninth root of 425451 to the nearest integer?
4
What is the ninth root of 9878 to the nearest integer?
3
What is the fifth root of 5274754 to the nearest integer?
22
What is 84620 to the power of 1/2, to the nearest integer?
291
What is the third root of 1518624 to the nearest integer?
115
What is the sixth root of 25667730 to the nearest integer?
17
What is the square root of 1010318 to the nearest integer?
1005
What is 256066 to the power of 1/3, to the nearest integer?
64
What is 5536018 to the power of 1/3, to the nearest integer?
177
What is 20531382 to the power of 1/3, to the nearest integer?
274
What is the seventh root of 230104 to the nearest integer?
6
What is the sixth root of 28558678 to the nearest integer?
17
What is 699178 to the power of 1/3, to the nearest integer?
89
What is 2250660 to the power of 1/10, to the nearest integer?
4
What is 908653 to the power of 1/4, to the nearest integer?
31
What is 2576035 to the power of 1/8, to the nearest integer?
6
What is the third root of 278387 to the nearest integer?
65
What is 571050 to the power of 1/7, to the nearest integer?
7
What is 17430851 to the power of 1/2, to the nearest integer?
4175
What is the cube root of 1388402 to the nearest integer?
112
What is the fourth root of 101154 to the nearest integer?
18
What is the cube root of 1322463 to the nearest integer?
110
What is 1121127 to the power of 1/7, to the nearest integer?
7
What is 458836 to the power of 1/2, to the nearest integer?
677
What is the square root of 577312 to the nearest integer?
760
What is 14318 to the power of 1/9, to the nearest integer?
3
What is the fourth root of 6196192 to the nearest integer?
50
What is the tenth root of 516823 to the nearest integer?
4
What is 1644493 to the power of 1/2, to the nearest integer?
1282
What is 2680366 to the power of 1/10, to the nearest integer?
4
What is 228436 to the power of 1/2, to the nearest integer?
478
What is the cube root of 677112 to the nearest integer?
88
What is the fifth root of 130338 to the nearest integer?
11
What is the tenth root of 343067 to the nearest integer?
4
What is 377867 to the power of 1/10, to the nearest integer?
4
What is 163492 to the power o | {
"pile_set_name": "DM Mathematics"
} |
-0.1, 0.05, 0.07?
0.05
Which is the closest to -56/5? (a) -0.2 (b) 4 (c) 88 (d) -0.7
d
What is the nearest to 2 in 2/15, -9980, 0.04?
2/15
What is the nearest to -1/35 in 0.5, -5, -39, -22, 2?
0.5
Which is the closest to 887/3? (a) 22.448 (b) 5 (c) 3/4
a
What is the closest to 0.1 in -101, -565, -0.3, -5, 0.2?
0.2
What is the closest to 1158897 in 27/4, 4, -1/7?
27/4
What is the nearest to -100 in 365, -0.5, -3/7, 4, 1/3?
-0.5
What is the closest to 0.02 in -0.3, -393/17, 14/9, -3?
-0.3
Which is the nearest to 0.206? (a) -207 (b) -0.22 (c) 1 (d) -4/3
b
What is the nearest to -4/229 in 0.5, -61, 16, -0.3, -1?
-0.3
Which is the nearest to 62? (a) 2/3 (b) 0 (c) 3/28 (d) 2 (e) 4
e
What is the closest to -0.2 in 11/2, -0.18, 2, -2, 1/82?
-0.18
What is the nearest to 100 in -1/4, -61, 4, 12, 20?
20
Which is the closest to 2? (a) 1 (b) 4/9 (c) 1015 (d) 8/219
a
Which is the closest to 0? (a) -2 (b) -395 (c) -88/993 (d) -1/6
c
What is the nearest to 2/3 in -1.57, -83.91, -1/9, 2?
-1/9
Which is the closest to 0? (a) 0.1 (b) 0.02 (c) 5 (d) -4 (e) -1/5 (f) -356/11
b
Which is the closest to 1? (a) 13/93 (b) 53/2 (c) -0.3
a
What is the nearest to -2/5 in 9, 28, 20, 4/5?
4/5
What is the closest to -2 in -0.048, 501/20, 4, 5, -4?
-0.048
What is the nearest to -0.056 in 2/4611, 11, 22, 0.2?
2/4611
Which is the nearest to 123/5? (a) -11 (b) 0.7 (c) 2/19 (d) 1/2
b
Which is the closest to 1? (a) 0.2 (b) -0.28 (c) -73 (d) 7.1 (e) 1/4
e
What is the closest to -2/3 in -14, 2/7, -7, -0.56114?
-0.56114
Which is the closest to 2/13? (a) 0.6 (b) 0.2 (c) 70493/24
b
Which is the closest to -6? (a) 0.0482 (b) -1 (c) -3 (d) 170
c
What is the nearest to -1 in -622, -2/5, -15, 0.3, -351?
-2/5
What is the closest to -214 in 0.7234, -1, -0.1, -0.2, -29, 0.3?
-29
What is the closest to 0.07 in 0.933, -1/2, 24, -5?
-1/2
Which is the nearest to -806/3? (a) -5 (b) 2 (c) -4/713
a
What is the nearest to 0 in 2.4, 41653, 2/19, 4?
2/19
Which is the closest to -7? (a) 2 (b) -0.4 (c) 1 (d) 0.04 (e) -3/305
b
What is the nearest to 48 in 0.5, -579, -4, 7.9?
7.9
Which is the nearest to -1/21? (a) -5 (b) 965 (c) -29
a
Which is the closest to -2606? (a) -4/7 (b) -0.5 (c) 0 (d) 1/13
a
Which is the nearest to -0.2? (a) 10 (b) 2567 (c) 217
a
Which is the closest to -1808? (a) 0 (b) 3 (c) 9
a
What is the closest to -67 in 2/7, -4/17, -0.4, 6, 2/15?
-0.4
What is the nearest to -3/19 in 52/3, -52.8, 2/3, -0.04, 0.3, -1/7?
-1/7
What is the closest to -22 in 3/3770, -5, 49?
-5
What is the closest to 0 in 1/9, 3/4, -0.02, 0.5, -0.2326?
-0.02
What is the closest to -22 in 1/8, -173, 3/5, 4, -2/9?
-2/9
What is the nearest to 1 in -0.2, -505, -2.3, 4, 103?
-0.2
Which is the closest to 29? (a) -10 (b) -3 (c) 2 (d) 730/3 (e) -2/5
c
Which is the nearest to -2260? (a) 9/4 (b) -2/7 (c) -2/5
c
What is the closest to 4503 in -3, -1/4, -0.3, 79/4, 3/5, 2/25?
79/4
Which is the nearest to -0.1? (a) -14/3 (b) -0.4 (c) -2/21 (d) 2/7 (e) 5 (f) 1
c
What is the nearest to 1/204 in -4, -815, 1/12, 0.3, -0.3, 4/5?
1/12
Which is the closest to -4? (a) 5 (b) -33 (c) 0.5 (d) 172847 (e) -0.3
e
What is the nearest to 6 in 12.35, -3, -1, 9, -3.6?
9
Which is the closest to -155? (a) 1 (b) 296 (c) 90/11
a
What is the nearest to 0.1 in 2, 94, -3/2, -4693, -1?
-1
Which is the nearest to -1/439? (a) 387 (b) 0 (c) -0.04 (d) 1/4 (e) 0.5
b
What is the closest to -1 in 1436, 0.1, 477/5, -0.04, 3, -1/9?
-1/9
Which is the closest to -2? (a) -0.63 (b) 14/743 (c) 0.4
a
Which is the closest to -0.006? (a) 2 (b) -20174 (c) 0.25
c
What is the closest to 3 in -0.03, -1, 667, 4/7, -2, -47?
4/7
What is the closest to 9 in 5/24, -90/17, -3?
5/24
Which is the nearest to 11.7? (a) 5 (b) -0.2 (c) -512
a
What is the closest to 32/83 in 2.65, -0.041, -1/3?
-0.041
What is the closest to -0.2231 in -0.04, 4, -7, -2/3, 1/6?
-0.04
Which is the nearest to -2? (a) -179 (b) 0 (c) 7 (d) 5/8 (e) 2/7
b
Which is the nearest to -23? (a) -1/2 (b) 2 (c) -6 (d) -16 (e) -11.9
d
What is the closest to -26 in -4, -6/17, 0, -50, 1/4?
-4
What is the closest to 0.99 in -5/6, -110, -6, -0.2?
-0.2
What is the closest to -9/1729 in 1, 272, 1/4?
1/4
Which is the closest to 1? (a) 3008 (b) -6/13 (c) -2/7
c
Which is the closest to 0? (a) -14 (b) 168 (c) -21 (d) -149
a
Which is the nearest to -0.2? (a) -6.4 (b) -1 (c) 2 (d) -0.4 (e) 6/13
d
Which is the closest to 50/51? (a) -18 (b) 3/10 (c) 0.26
b
Which is the closest to 1? (a) -16 (b) 4 (c) -4.1658
b
What is the closest to 0 in -724, -1/2, -8264?
-1/2
What is the nearest to 0 in -25, -4, -2, 1, 632/3?
1
Which is the closest to -2/87? (a) 1 (b) -2/17 (c) -5/9 (d) 2/7
b
Which is the nearest to -2.45? (a) -3 (b) -11 (c) -5 (d) -0.86
a
Which is the nearest to -6.7? (a) -1/5 (b) -25 (c) -50 (d) 3
a
Which is the closest to -11? (a) -11 (b) -0.1 (c) 13/54 (d) -10 (e) -0.3
a
Which is the closest to 9? (a) 1204 (b) 0.113 (c) -4
b
What is the closest to -100 in -58, -27, 1/4?
-58
What is the closest to 2/7167 in -22, -1, -1/2, -0.3?
-0.3
Which is the closest to -0.2? (a) 56 (b) 2/7 (c) -3 (d) 7/40
d
Which is the nearest to -0.2? (a) -1 (b) -5.3 (c) -0.3 (d) -0.2
d
Which is the closest to 27? (a) -34001 (b) -0.3 (c) -6
b
What is the nearest to 80 in -5, 3/9694, 0.3, -2/13?
0.3
What is the closest to 42 in 1/2, -689, 2, 1/9?
2
Which is the nearest to -1? (a) 175 (b) 7/6 (c) 0.5 (d) 0.2 (e) 2.2
d
What is the closest to 0.1 in 5, -12/11, 9, -10329?
-12/11
What is the closest to -3/2 in -0.5241, 102, -5/3, -0.3, 0.3?
-5/3
What is the closest to 1 in -26/7, 611, -2.27, 2/9, 2?
2/9
What is the closest to -28/23 in 1/2, 12/661, -3?
12/661
Which is the closest to -3? (a) 644 (b) -2/101 (c) 2 (d) 0 (e) 0.4
b
What is the closest to 0.1 in 1/2, -7/8, -5, -0.6, -1359?
1/2
Which is the closest to -2/3? (a) 1/7340 (b) -2/9 (c) 486 (d) 0
b
What is the closest to -10 in 2/7, -3/4, 17.5829, -0.04?
-3/4
What is the closest to 2 in 6, 4.13, -2/11, 2/7?
2/7
What is the closest to -0.4 in -0.6, 2/11, -11, 2, -1/2?
-1/2
What is the nearest to -2 in -580, 34, -0.1?
-0.1
What is the nearest to 2/5 in 4, -219, -37?
4
What is the nearest to 1/3 in 5, -11.1532, -3/2, -2/3, -2/15?
-2/15
What is the nearest to 0.1 in 253, 5, 2/123, 0, 4/3?
2/123
What is the nearest to 1 in 2378122, -4, 5?
5
What is the closest to 2/11 in 2/23, -5, 3/10, -2/17, 7/6?
2/23
What is the nearest to -26 in -2/9, -3875/7, -2/5, 0.4?
-2/5
What is the nearest to 32536 in -2/11, 0.2, 0.6?
0.6
Which is the closest to -1? (a) -283 (b) -42 (c) -1/11 (d) -4
c
Which is the nearest to -0.999? (a) 8 (b) -3/8 (c) -5/7
c
What is the closest to 2/38631 in 0.5, -1.7, 3/8, 5, 1/4?
1/4
What is the nearest to 1 in 438.03, 15, -4?
-4
What is the closest to 0.09 in -96/13, 9, -4, -17?
-4
What is the nearest to -1 in 2/25, 5, -0.13, 255, -1/7?
-1/7
Which is the closest to 26? (a) 1/2 (b) 0.1 (c) -1/8 (d) -39 (e) -46 (f) -0.4
a
What is the nearest to 37 in -942, 5, -2/5, -3/5?
5
Which is the nearest to 1? (a) 0.05 (b) 10755 (c) 4
a
Which is the nearest to -0.4? (a) 3/5 (b) 0.1 (c) 36 (d) -58
b
Which is the nearest to -0.1? (a) -7/24 (b) -12 (c) 0.2 (d) 0.35 (e) -91
a
Which is the nearest to -3847? (a) -1580 (b) -0.3 (c) -1/4
a
Which is the nearest to -1288? (a) -20/17 (b) -0.5 (c) -3/4 (d) -1
a
What is the nearest to 1/4 in -1/3, 2/3, -34, -64?
2/3
What is the closest to 0.2 in -58303.7, -1/6, -3, 3?
-1/6
What is the closest to -1.5 in -1/7, -3, 41/11, -8/129?
-1/7
What is the nearest to 582 in 0.07, -1/6, -17, -0.1?
0.07
What is the nearest to 3/4 in -4, -0.5, 1/5, -2, -3301?
1/5
What is the nearest to -647 in 1/2, -4, 4, -65?
-65
What is the closest to 0.1 in -1, 0.6309, 4, 237?
0.6309
What is the closest to -1 in -2/15, 1311285, -0.4?
-0.4
Which is the closest to 6? (a) -2/105 (b) 1/8 (c) 245/6 (d) 5 (e) -5 (f) -12
d
Which is the closest to 5? (a) 3 (b) 4 (c) -3 (d) 22078 (e) 5
e
What is the nearest to 2 in 5/3, -42, 1, 10, -16.76?
5/3
What is the nearest to 0.1 in 63/20, -0.2, 0, 3?
0
What is the nearest to 1355808 in -0.4, 2, -5?
2
Which is the closest to 2.9? (a) 4 (b) 0 (c) -0.3 | {
"pile_set_name": "DM Mathematics"
} |
q(s) = 2*s**3 - 3*s**2 + 8*s - 3. Determine q(3).
48
Let q(u) = -u**3 + 20*u**2 - 19*u + 3. Give q(19).
3
Let j(f) = -f**3 + 4*f**2 + 3*f - 9. Give j(4).
3
Let l(i) = -i**3 + 42*i**2 - 42*i + 40. Calculate l(41).
-1
Let p(m) = 2*m + 9. Determine p(-5).
-1
Let t(y) = y**3 + 9*y**2 + 8*y - 3. What is t(-8)?
-3
Let l(h) = -3*h**3 - 10*h**2 - 6*h - 2. Determine l(-5).
153
Let m(f) = -44*f**2 + 570*f + 12. Give m(13).
-14
Let l(i) = 12*i - 13. What is l(-7)?
-97
Let c(n) = -6*n + 105. Calculate c(19).
-9
Let t(z) = 2*z - 38. Calculate t(12).
-14
Let v(t) = -t**3 + 6*t**2 - 10*t + 23. Determine v(5).
-2
Let z(a) = -a**2 + 6*a + 5. Give z(7).
-2
Let c(j) = -2*j - 9. Determine c(-5).
1
Let m(j) = 4*j**2 + 16*j - 2. Give m(-4).
-2
Let n(t) = -t**3 + 47*t**2 - 48*t + 63. Give n(46).
-29
Let u(r) = -r**3 + 38. What is u(0)?
38
Let p(k) = 8*k + 42. Determine p(-26).
-166
Let g(u) = u + 17. Give g(-19).
-2
Let k(j) = j**2 + 12*j - 4. Calculate k(-13).
9
Let k(m) = -3*m - 1. Give k(-6).
17
Let y(b) = -b**3 - 21*b**2 - 69*b - 21. Give y(-17).
-4
Let q(p) = p**2 + 14*p - 63. Determine q(-16).
-31
Let w(s) = s**2 + 27*s - 2. Determine w(-29).
56
Let o(m) = m**3 - 10*m**2 + m - 16. What is o(10)?
-6
Let p(z) = -z**3 + 13*z**2 - z + 15. Determine p(13).
2
Let x(f) = f**2 + 10*f + 13. Determine x(-7).
-8
Let z(b) = -108*b**2 + b - 1. What is z(1)?
-108
Let i(w) = 45*w**3 - 2*w**2 - w. Give i(-1).
-46
Let r(s) = 2*s + 19. Calculate r(-8).
3
Let h(b) = -2*b**2 - b + 2. Give h(2).
-8
Let s(j) = -j + 3. Calculate s(0).
3
Let p(t) = -t**2 - t + 132. What is p(0)?
132
Let o(s) = 7*s**2 - s - 2. Calculate o(-2).
28
Let q(d) = -8*d - 211. Calculate q(-26).
-3
Let l(k) = 21*k**3 + 2*k**2 - 4*k + 6. What is l(2)?
174
Let c(n) = -5*n + 24. Calculate c(10).
-26
Let s(j) = -j**2 - 2*j + 2. Give s(0).
2
Let m(f) = f**3 - 11*f**2 + 15*f - 9. Calculate m(10).
41
Let x(b) = -b**2 + 2*b + 3. What is x(6)?
-21
Let t(y) = 15*y - 30. Give t(7).
75
Let j(n) = n**3 - 7*n**2 + 4*n + 4. Give j(6).
-8
Let m(n) = 4*n + 66. Give m(-16).
2
Let x(a) = 5*a - 17. Calculate x(5).
8
Let i(l) = -10*l - 50. What is i(10)?
-150
Let j(z) = z**3 + 17*z**2 + 17*z. Give j(-16).
-16
Let l(v) = -2*v**2 + v - 10. Calculate l(0).
-10
Let n(f) = f - 30. Calculate n(6).
-24
Let y(z) = -z**3 + 7*z**2 - 4*z + 5. What is y(5)?
35
Let f(w) = -29*w + 1. What is f(-1)?
30
Let y(m) = -8*m + 2. Determine y(-3).
26
Let h(x) = -x**3 - 31*x**2 - x - 29. What is h(-31)?
2
Let n(g) = -g**3 + g**2 - g - 7. Calculate n(0).
-7
Let g(h) = -h**3 + 2*h**2 + 3*h + 11. What is g(0)?
11
Let l(g) = -g**2 - 19*g - 84. Calculate l(-12).
0
Let u(o) = 5*o - 82. Calculate u(15).
-7
Let g(b) = -b + 2. What is g(2)?
0
Let y(w) = -12*w - 14. Calculate y(-5).
46
Let q(p) = -55*p + 389. Give q(7).
4
Let d(h) = -2*h**2 + 5*h - 1. What is d(4)?
-13
Let v(a) = -a**3 - 11*a**2 + 11*a + 17. Give v(-12).
29
Let c(u) = -2*u**2 - 4*u + 7. Give c(-5).
-23
Let k(f) = f**3 + 7*f**2 + 3. Calculate k(-7).
3
Let z(b) = -2*b**3 - 5*b**2 - 7*b - 5. Give z(-2).
5
Let w(n) = n**3 + n**2 - 2*n + 10. Determine w(0).
10
Let l(d) = 2*d**2 + 51*d - 27. Determine l(-26).
-1
Let c(i) = i**2 - 29*i + 13. Give c(25).
-87
Let s(n) = n**3 + 23*n**2 + 20*n - 40. What is s(-22)?
4
Let j(p) = p**3 - 7*p**2 - p + 38. Give j(6).
-4
Let a(o) = 2*o**3 + 3*o**2 - 4*o - 4. What is a(-3)?
-19
Let z(x) = x**2 - 10*x + 8. Determine z(6).
-16
Let n(k) = -k - 19. Calculate n(-10).
-9
Let w(y) = y**2 + 17*y + 5. Calculate w(-17).
5
Let q(k) = -17*k + 56. What is q(7)?
-63
Let q(i) = -i**3 + 4*i**2 + 5*i - 1. Determine q(4).
19
Let a(y) = -10*y**3 - 3*y**2 - 4*y + 1. Determine a(-1).
12
Let a(o) = 38*o + 4. Determine a(-3).
-110
Let f(w) = w**3 - 6*w**2 + 2*w - 7. What is f(6)?
5
Let u(p) = 2*p**2 - 9*p - 15. Determine u(7).
20
Let p(h) = -5*h + 30. Give p(9).
-15
Let f(x) = -12*x + 6. What is f(-3)?
42
Let g(l) = -2*l**3 + 12*l**2 - l - 2. What is g(6)?
-8
Let j(d) = -27*d**3 - 2*d**2 + 1. Give j(1).
-28
Let k(h) = -h**2 + 12*h - 10. Determine k(5).
25
Let k(c) = -c**2 - 11*c - 21. Give k(-6).
9
Let l(u) = -u**2 + 2*u - 9. Determine l(6).
-33
Let d(f) = f**3 - 7*f**2 + 11*f. Give d(5).
5
Let p(u) = u**3 + 12*u**2 - 14*u - 26. Give p(-13).
-13
Let r(o) = o**2 - 9*o - 169. Determine r(19).
21
Let v(o) = -o**2 + 14*o - 6. What is v(14)?
-6
Let y(l) = -33*l - 191. What is y(-7)?
40
Let j(f) = f**2 + 5*f - 29. Give j(-7).
-15
Let d(b) = -b - 2. Calculate d(-6).
4
Let p(g) = -g**3 + 10*g**2 - 7*g - 18. What is p(8)?
54
Let y(b) = -b - 8. What is y(-9)?
1
Let y(j) = 21*j - 4. What is y(0)?
-4
Let j(w) = -4*w + 5. What is j(-5)?
25
Let d(b) = -9*b - 143. Determine d(-20).
37
Let o(d) = -d**3 + 7*d**2 + d - 3. What is o(7)?
4
Let w(y) = -14*y + 2. What is w(3)?
-40
Let x(c) = -4*c - 42. Give x(0).
-42
Let s(f) = 13*f - 66. Calculate s(5).
-1
Let k(q) = q**3 + 6*q**2 - 3*q + 5. Determine k(-6).
23
Let f(v) = -4*v - 8. Calculate f(10).
-48
Let k(c) = 3*c**2 - 28*c - 3. Give k(8).
-35
Let y(i) = -i**2 - 12*i - 45. What is y(-6)?
-9
Let p(f) = 4*f + 12. Give p(-13).
-40
Let v(u) = -u**3 + 8*u**2 - 8. Determine v(8).
-8
Let i(w) = -9*w - 165. Calculate i(-16).
-21
Let u(z) = -2*z**3 + 9*z**2 + 15*z - 1. What is u(6)?
-19
Let v(x) = -60*x**2 - 3*x - 2. Calculate v(-1).
-59
Let t(g) = -10*g - 317. Give t(-32).
3
Let h(l) = -l**3 + 14*l**2 + 15*l + 8. What is h(15)?
8
Let t(h) = -8*h**3 - h**2 + 1. What is t(1)?
-8
Let p(k) = k**3 + 5*k**2 + 4*k - 5. What is p(-4)?
-5
Let l(g) = -3*g**2 + 6*g + 21. Calculate l(-4).
-51
Let w(d) = -d**3 - 10*d**2 - 8*d + 7. Determine w(-9).
-2
Let h(s) = 35*s - 3. Calculate h(1).
32
Let v(j) = -j - 42. Determine v(0).
-42
Let i(h) = -25*h + 28. Give i(2).
-22
Let i(w) = w**2 - 16*w + 53. Calculate i(11).
-2
Let w(p) = -p**3 + 13*p**2 + 2*p - 13. Calculate w(13).
13
Let o(n) = 727*n - 4366. Give o(6).
-4
Let s(x) = x**2 - 18*x - 10. What is s(18)?
-10
Let d(j) = 3*j**3 + 28*j**2 - 23*j - 31. What is d(-10)?
-1
Let b(u) = -u**3 - 13*u**2 - u + 17. What is b(-13)?
30
Let d(c) = c**3 + c**2 - 13*c - 11. Determine d(-4).
-7
Let g(d) = -d**2 + 2*d - 2. Give g(3).
-5
Let j(h) = -2*h**2 + 23*h + 13. Give j(13).
-26
Let j(i) = -14*i**2 - 3*i + 2. Calculate j(2).
-60
Let v(g) = -8*g**3 + 2*g**2 - 2*g - 2. Determine v(-1).
10
Let k(s) = -2*s**2 - 45*s - 33. What is k(-22)?
-11
Let q(d) = d**2 - 3*d - 5. Give q(4).
-1
Let p(n) = 2*n**2 + 31*n + 18. Give p(-15).
3
Let h(s) = -s**2 + 17*s + 2. Determine h(17).
2
Let j(z) = -z**2 - 4*z - 1. Give j(-5).
-6
Let g(p) = -p**2 + 11*p + 4. Calculate g(8).
28
Let z(d) = -d**2 + 7*d + 44. Calculate z(11).
0
Let x(o) = -24*o - 4. Calculate x(-4).
92
Let o(r) = 5*r + 9. Give o(6).
39
Let o(q) = -q**2 + 14*q + 15. What is o(-8)?
-161
Let x(w) = -w**3 + 6*w**2 + 9*w - 15. Determine x(7).
-1
Let k(b) = 8*b**2 + 43*b + 10. Determine k(-4).
-34
Let d(b) = -b**3 + 6*b**2 - 3*b + 7. Determine d(7).
-63
Let n(h) = 5*h**3 - 10*h**2 - 4*h + 4. Calculate n(2).
-4
Let c(z) = z**3 - 13*z**2 + 7. Give c(13).
7
Let a(p) = 6*p - 16. Determine a(-8).
-64
Let u(q) = 8*q + 3. Determine u(-6).
-45
Let x(b) = -2*b**2 + 57*b + 43. What is x(31)?
-112
Let p(y) = -16*y + 24. Give p(6).
-72
Let v(n) = -n**3 + 14*n**2 - n + 12. Give v(14).
-2
Let m(c) = 5*c + 27. Determine m(-13).
-38
Let n(h) = -13*h**3 - 6*h**2 + 9*h - 2. Calculate n(1).
-12
Let n(k) = -76*k - 457. Give n(-6).
-1
Let s(d) = 2*d**3 + 34*d**2 - 35*d + 24. Determine s(-18).
6
Let p(l) = l - 1. Give p(-5).
-6
Let s(d) = 52*d**2 + 1. Calculate s(-1).
53
Let f(o) = -4*o**2 + 39*o - 10. Determine f(10).
-20
Let i(z) = -8*z - 4. Calculate i(-3).
20
Let c(h) = h**3 - 15*h**2 + 18*h + 2. What is c(14)?
58
Let l(h) = h - 22. Give l(16).
-6
Let z(v) = 21*v + 2. Give z(1).
23
Let g(m) = -67*m**3 + 5*m**2 + 6*m + 3. Determine g(-1).
69
Let d(s) = s**3 + s**2 - 3*s - 2. What is d(3)?
25
Let b(t) = 4*t - 19. Determine b(-6).
-43
Let g(n) = n**3 + 4*n**2 - 9. Calculate g(-4).
-9
Let i(z) = -z**2 - 3*z + 46. Calculate i(5).
6
Let v(s) = 2*s**2 + 44*s - 341. Determine v(6).
-5
Let s(d) = 2*d**2 - 24*d - 3. Calculate s(12).
-3
Let h(g) = g**3 - 19*g**2 - 20. Determine h(19).
-20
Let h(d) = -29*d + 209. Calculate h(7).
6
Let r(s) = -11*s + 1. Determine r(-3).
34
Let g(n) = -50*n + 496. Calculate g(10).
-4
Let k(x) = | {
"pile_set_name": "DM Mathematics"
} |
(t) = -51*t + 21. Let m(h) = 5*h + 0*h + 0*h - 2. Let k = 30 + -32. Determine k*l(x) - 21*m(x).
-3*x
Let r(a) = a**3 + 4*a + 5. Let j(u) = u**3 + 5*u + 6. Calculate -4*j(h) + 5*r(h).
h**3 + 1
Let o(q) = -2*q. Let c(g) = 8*g + 1. Give -2*c(w) - 9*o(w).
2*w - 2
Let g(v) = -v**2 + 6*v - 8. Let c(r) = -r**2 + 7*r - 7. What is -6*c(i) + 7*g(i)?
-i**2 - 14
Let u(l) = 3*l + 1. Suppose 3*s = h - 17, 6 - 1 = 5*h + s. Let k(m) = 2*m + h - 1 + 0. Give -5*k(b) + 3*u(b).
-b - 2
Let p(r) = 17*r - 9. Let d(k) = 4*k - 2. Let g = -7 - -5. Suppose 38 = 2*j + 5*n, 2*j - 2*n - 2 = 2*n. Determine g*p(o) + j*d(o).
2*o
Let r(u) = -7*u**3 + 3*u**2 + u. Let o(a) = 13*a**3 - 5*a**2 - 2*a. What is 6*o(q) + 11*r(q)?
q**3 + 3*q**2 - q
Let u(h) be the second derivative of 4*h**3/3 - 5*h**2/2 + 8*h. Let c(j) = -7*j + 4. What is 5*c(w) + 4*u(w)?
-3*w
Let p(z) = 3*z - 26. Let d(w) = -7*w + 53. What is -2*d(f) - 5*p(f)?
-f + 24
Let t(g) = -g**3 + 3*g**2 - 3*g + 9. Let y(a) = -2*a**3 + 4*a**2 - 4*a + 10. What is 6*t(o) - 5*y(o)?
4*o**3 - 2*o**2 + 2*o + 4
Let x(u) = 15*u**3 + 11*u**2 - u + 11. Let d(v) = -3*v**3 - 2*v**2 - 2. Give 11*d(s) + 2*x(s).
-3*s**3 - 2*s
Let j(q) = 7*q**3 - 7*q - 1. Let c = -17 - -19. Let t(n) be the first derivative of -13/4*n**4 + 13/2*n**c + 1 + 0*n**3 + 2*n. Determine -11*j(m) - 6*t(m).
m**3 - m - 1
Let s(u) = -2*u - 6. Let g(b) = -2*b - 7. Give 5*g(c) - 6*s(c).
2*c + 1
Let g(b) = 2*b + 3. Let a(z) = 4*z + 7. Determine -2*a(c) + 5*g(c).
2*c + 1
Let n(j) = 4*j**3 - 2*j**2. Let a(f) = f**3 - f**2 - f - 1. Let q(c) = 15*c**3 - 5*c**2 + 6*c + 6. Let r(u) = 6*a(u) + q(u). Give 33*n(w) - 6*r(w).
6*w**3
Let r(l) = l**2 - 3*l - 1. Let f be r(5). Let m(t) = -15*t**3 + 9*t**2 - 9*t - 9. Let p(i) = 7*i**3 - 4*i**2 + 4*i + 4. Give f*p(j) + 4*m(j).
3*j**3
Let p(c) be the second derivative of -7*c**3/3 + 2*c. Let a(f) be the third derivative of f**4/24 + 3*f**2. Determine 12*a(m) + p(m).
-2*m
Let x(z) = 17*z. Let n be (-4)/22 - 136/(-22). Let t(r) = 8*r. Give n*x(s) - 13*t(s).
-2*s
Let p(c) = 7*c + 12. Let q(k) = -15*k - 25. Let r(f) = -13*p(f) - 6*q(f). Let i(j) = 1. Let o(v) = -6*i(v) - r(v). Let d(l) = -6*l. Determine -d(m) - 5*o(m).
m
Let f(t) = 5*t + 9. Let l(r) = 4*r - 5*r - r - 4. Suppose -2*u - u = -18. Calculate u*f(w) + 14*l(w).
2*w - 2
Let v(n) be the second derivative of -6*n + 0 + 1/4*n**4 + 5/6*n**3 + 0*n**2. Let w(f) = 2*f**2 + 3*f. Calculate 3*v(k) - 5*w(k).
-k**2
Let o(q) = -4*q**3 + q**2 + 4*q - 2. Let i(n) = 9*n**3 - 2*n**2 - 9*n + 5. Let h(b) = b**3 + 9*b**2 - b - 7. Let l be h(-9). Give l*i(s) + 5*o(s).
-2*s**3 + s**2 + 2*s
Let t(j) = 92*j. Let y(l) = 2852*l. Determine -92*t(h) + 3*y(h).
92*h
Let d(y) = y**2 + y + 1. Let p(z) = 39*z**2 + 26*z + 26. Calculate -26*d(b) + p(b).
13*b**2
Let j(q) = 4*q**3 - 3*q**2 + 3*q - 3. Suppose -i = -4*i. Let b = i + 3. Let k(d) = -3*d**2 + 4*d**2 - 5*d**3 + 3*d**2 + 6 - 2 - 4*d. What is b*k(x) + 4*j(x)?
x**3
Let x(c) = -13*c**2 + 10*c - 13. Let q(o) = 9*o**2 - 7*o + 9. What is 7*q(d) + 5*x(d)?
-2*d**2 + d - 2
Let c(q) = -2*q + 3. Let j = 36 - 22. Suppose 5*m - 3 = 4*s - 6, 3 = -2*m + s. Let g(z) = -10*z + 14. Give j*c(l) + m*g(l).
2*l
Let i(p) = p + 1. Let n(q) = 6*q + 6. Give 10*i(g) - 2*n(g).
-2*g - 2
Suppose -4*b = -3*b - 10. Let o(x) = 4 - b + 4 - x. Let m(q) = q + 2. Calculate 3*m(l) + 4*o(l).
-l - 2
Let p(m) = m**2 - m - 1. Let c = 14 + 2. Suppose c = -2*k - 0*k. Let y(i) = -10*i**2 + 6*i + 10. Calculate k*p(s) - y(s).
2*s**2 + 2*s - 2
Let q(k) = 8*k**3 + k**2 - 2*k + 2. Let y(x) = -x**3 + x - 1. Determine -q(w) - 2*y(w).
-6*w**3 - w**2
Let h(o) = -2*o**3 + 3*o**2 + 3*o - 3. Suppose 2*c - 47 = 17. Let s be c/5 + (-2)/5. Let w(b) = b**3 - b**2 - b + 1. Calculate s*w(n) + 2*h(n).
2*n**3
Let r(y) = -y - 1. Let u(x) = -x. Let d = -52 + 51. Give d*r(o) + 3*u(o).
-2*o + 1
Suppose 0 = 2*x + 5*y + 6, -8 - 5 = x + 5*y. Let t(w) = -12*w + 10. Let n(p) = -3*p + 2. Let c(f) = -9*n(f) + 2*t(f). Let v(g) = -5*g - 4. Give x*c(s) + 4*v(s).
s - 2
Let a(x) be the third derivative of x**5/15 - x**3/6 + 3*x**2. Let v(y) = -9*y**2 + 3. What is -5*a(r) - 2*v(r)?
-2*r**2 - 1
Let w(f) = -4*f**3 + 5*f + 4. Let q = -2 + 7. Suppose q*o = 1 - 11. Let g = o + 7. Let l(i) = -3*i**3 + 4*i + 3. Determine g*l(t) - 4*w(t).
t**3 - 1
Let o(v) = -43*v**3 + 6*v**2 + 6*v + 6. Let d(x) = -301*x**3 + 43*x**2 + 43*x + 43. Determine 6*d(z) - 43*o(z).
43*z**3
Let j(o) be the third derivative of -o**5/10 - 7*o**3/6 + 4*o**2. Let u(p) = 3*p - 1. Let b be u(-1). Let g(h) = -5*h**2 - 6. Determine b*j(m) + 5*g(m).
-m**2 - 2
Let t = 1 - 5. Let x = t + 6. Let b(g) = 5*g**2 + 2 - g**x + 6 + 0. Let z(s) = s**2 + 1. Calculate -b(c) + 6*z(c).
2*c**2 - 2
Suppose 18*v = 22*v + 24. Let s(r) = 20*r - 11. Let p(o) = 7*o - 4. What is v*s(j) + 17*p(j)?
-j - 2
Suppose -3*m + 3 = -3*z, -5*z - 5*m = -14 - 11. Let g(i) = 5*i + 6*i**3 + 0*i**2 - 6*i - 3*i**z. Let p(v) = -7*v**3 + 4*v**2 + v. Calculate -6*g(l) - 5*p(l).
-l**3 - 2*l**2 + l
Let y(p) = -p**3 - p**2 + 1. Let c(x) be the second derivative of x**5/4 + 5*x**4/12 - 2*x**2 + 3*x. Give -c(v) - 4*y(v).
-v**3 - v**2
Let y(o) = 11*o**3 - 5*o**2 + 7. Let x(k) = 6*k**3 - 3*k**2 + 4. Suppose -b + 4*h + 27 = 0, 7*h - 3*h + 20 = 0. Calculate b*x(f) - 4*y(f).
-2*f**3 - f**2
Let t(s) = -4*s - 30. Let w(j) = -j - 10. What is -2*t(f) + 7*w(f)?
f - 10
Let b(z) = 7*z**2 - 4*z - 4. Let q(r) = -13*r**2 + 7*r + 9. Let n(s) = 5*b(s) + 3*q(s). Let d(f) = -3*f**2 + f + 5. Let c = 6 - 11. Calculate c*n(y) + 7*d(y).
-y**2 + 2*y
Let x(l) = -5406*l**2 + 689*l - 689. Let c(u) = 47*u**2 - 6*u + 6. Give -689*c(i) - 6*x(i).
53*i**2
Let t(l) = -l - 2. Let d(j) = -2*j - 4. What is 4*d(p) - 9*t(p)?
p + 2
Let b(q) = -61*q + 2. Let t(n) = 30*n - 1. What is -4*b(p) - 7*t(p)?
34*p - 1
Let u(f) = -8*f**3 - 6*f**2 - f + 7. Let h be (-14)/6 + 20/15. Let c(z) = -z**3 - z**2 + 1. Let a be (2 - 1)*6*1. Determine a*c(o) + h*u(o).
2*o**3 + o - 1
Let n(l) = -2*l**3 - 2*l + 3. Let i be 4 - (-1 - 1 - -2). Let w(u) be the second derivative of u**5/20 + u**3/3 - u**2 + 6*u. Determine i*w(x) + 3*n(x).
-2*x**3 + 2*x + 1
Let z(c) be the first derivative of -3*c**2/2 - 6*c + 2. Let v(j) = j + 1. Let l = 2 - 3. Determine l*z(m) - 4*v(m).
-m + 2
Let y(u) = -u**2 + u + 7. Let h(i) = -i**2 + 3. Calculate -5*h(o) + 3*y(o).
2*o**2 + 3*o + 6
Let c(i) = 3*i**3 + 2*i**2 + 2*i + 2. Let z be 6/(1/3 + 0). Let d = -1336 - -1340. Let y(v) = -13*v**3 - 9*v**2 - 9*v - 9. Calculate d*y(a) + z*c(a).
2*a**3
Let z(a) = 3*a**2 + 2*a - 2. Let o(p) = -10*p**2 - 7*p + 7. Let q = 6 - 10. Determine q*o(d) - 14*z(d).
-2*d**2
Let j(b) = -7*b**2 - 6*b + 6. Let t(o) = -13*o**2 - 11*o + 11. Let u(y) = -y**3 + 5*y**2 + 5*y. Let f be u(6). Let w = 27 - 16. What is f*t(d) + w*j(d)?
d**2
Let o(v) = -4*v. Suppose -4*x = 0, -2*t + 3*t - x = 1. Suppose n + 6 - t = 0. Let g(f) be the second derivative of f**3/3 - f. Determine n*g(h) - 2*o(h).
-2*h
Let i(z) = 6*z. Let m(r) = 2*r. Determine 6*i(u) - 20*m(u).
-4*u
Let k(w) = 3*w. Let j(r) = 4*r. What is 5*j(b) - 6*k(b)?
2*b
Let a = 52 + -46. Let b(j) = -j**3 + j. Let n(h) = 5*h**3 + h**2 - 7*h. Give a*b(w) + n(w).
-w**3 + w**2 - w
Let c(y) be the first derivative of y - 1/3*y**3 + 0*y**2 + 1. Let s(w) = -2*w**3 - 5*w**2 - w + 5. Calculate -5*c(o) + s(o).
-2*o**3 - o
Let o = -74 - -71. Let i(g) = 2*g + 5. Let k(f) be the second derivative of f**3/6 + 3*f**2/2 - f. Give o*i(w) + 5*k(w).
-w
Let j(x) = 6*x + 32. Let r(t) = -13*t - 65. What is -9*j(m) - 4*r(m)?
-2*m - 28
Let u(z) = -z**3. Let k(r) = 8*r**3. Let y be (-11)/(-2) - (-13)/26. Determine y*u(l) + k(l).
2*l**3
Let k(v) = 3*v**2 + 2. Let r be (2 + -1)/(14/(-84)). Let l be (4/r)/(7/84). Let x(c) = -2*c**2 - 1. Calculate l*x(g) - 5*k(g).
g**2 - 2
Let x(g) = g. Let h(b) = 14*b. Give h(r) + 3*x(r).
17*r
Let o(c) = c**2 - 2*c. Let t(s) = 3*s. Determine -3*o(h) - 2*t(h).
-3*h**2
Let c(h) = h - 7. Let a be c(5). Let b(w) = 7*w - 5. Let t(s) be the second derivative of s**3/2 - s**2 + 46*s. What is a*b(q) + 5*t(q)?
q
Let u(a) = a**3 + a**2 - a + 1. Let g(y) = 4*y**3 + y**2 - y + 2. Calculate g(j) - 2*u(j).
2*j**3 - j**2 + j
Let g(x) = 3*x**2 + 3*x + 3. Let s(r) = 5*r**2 + 5*r + 5. Let y = 11 - 6. Determine y*s(i) - 8*g(i).
i**2 + i + 1
Let b(w) = -2*w + 13. Let o be (-2)/(-4)*(11 + -3). Let t(s) = s - 6. | {
"pile_set_name": "DM Mathematics"
} |
ut replacement from ybybbbybbyyvv. What is prob of sequence vbb?
5/143
Calculate prob of sequence qqmm when four letters picked without replacement from {q: 4, m: 9, x: 1}.
36/1001
Two letters picked without replacement from {j: 3}. What is prob of sequence jj?
1
What is prob of sequence ge when two letters picked without replacement from {z: 1, r: 2, h: 1, e: 1, n: 1, g: 1}?
1/42
What is prob of sequence bmbm when four letters picked without replacement from {b: 2, q: 1, v: 1, t: 3, m: 2, z: 9}?
1/18360
Calculate prob of sequence ccc when three letters picked without replacement from cccc.
1
What is prob of sequence qjde when four letters picked without replacement from {q: 7, j: 1, e: 3, d: 1}?
7/3960
Four letters picked without replacement from {s: 3, q: 2, v: 5}. Give prob of sequence svss.
1/168
Two letters picked without replacement from {d: 3, b: 2, y: 3, k: 1, r: 1}. Give prob of sequence yr.
1/30
What is prob of sequence yfoy when four letters picked without replacement from {y: 11, a: 4, f: 2, o: 2}?
55/11628
What is prob of sequence ff when two letters picked without replacement from tvvfvfbvvvttftb?
1/35
Three letters picked without replacement from yyynnnnnyyyym. What is prob of sequence yym?
7/286
Two letters picked without replacement from {y: 9}. What is prob of sequence yy?
1
Three letters picked without replacement from lwwnwswnnlswrwo. Give prob of sequence wso.
2/455
What is prob of sequence qq when two letters picked without replacement from qqqqqqqqxxqxxqxq?
11/24
Two letters picked without replacement from tyepzdd. Give prob of sequence ey.
1/42
Calculate prob of sequence fae when three letters picked without replacement from {e: 4, s: 2, a: 1, f: 4, q: 1, p: 2}.
2/273
Calculate prob of sequence ggzz when four letters picked without replacement from {z: 5, g: 2}.
1/21
What is prob of sequence bd when two letters picked without replacement from {b: 3, o: 3, d: 1}?
1/14
Calculate prob of sequence ddgg when four letters picked without replacement from muuumgguuuuuddgqu.
1/4760
What is prob of sequence sn when two letters picked without replacement from sana?
1/12
Three letters picked without replacement from {z: 3, m: 9}. Give prob of sequence zmm.
9/55
Calculate prob of sequence uyy when three letters picked without replacement from oypououoouoooozyo.
1/680
Two letters picked without replacement from {l: 1, t: 3, d: 7, n: 2, g: 1}. What is prob of sequence dg?
1/26
What is prob of sequence qqq when three letters picked without replacement from {q: 10}?
1
Two letters picked without replacement from vwwwwwwweehweqwwq. Give prob of sequence wq.
5/68
Calculate prob of sequence ele when three letters picked without replacement from {l: 1, h: 3, e: 6, x: 5, m: 2}.
1/136
Two letters picked without replacement from {a: 8, b: 2, j: 8}. What is prob of sequence bj?
8/153
What is prob of sequence djj when three letters picked without replacement from {j: 6, d: 7}?
35/286
Calculate prob of sequence wwc when three letters picked without replacement from {c: 3, w: 15}.
35/272
Calculate prob of sequence wru when three letters picked without replacement from wfwrffggwyfwufw.
1/546
Calculate prob of sequence pflz when four letters picked without replacement from {l: 1, p: 2, f: 1, z: 1}.
1/60
What is prob of sequence aaaa when four letters picked without replacement from aaaaaaaaa?
1
What is prob of sequence hpha when four letters picked without replacement from {p: 1, h: 4, a: 3, q: 6, d: 2}?
3/3640
Two letters picked without replacement from tqqtqqtteqetttqeett. Give prob of sequence tq.
3/19
Two letters picked without replacement from {w: 1, z: 3, t: 1, f: 2}. What is prob of sequence wf?
1/21
What is prob of sequence ikqx when four letters picked without replacement from {k: 3, z: 1, i: 3, x: 6, c: 3, q: 1}?
9/9520
Calculate prob of sequence sx when two letters picked without replacement from {h: 8, x: 1, s: 4, g: 5}.
2/153
What is prob of sequence uh when two letters picked without replacement from {h: 1, r: 1, u: 2}?
1/6
Two letters picked without replacement from {t: 5, a: 4, d: 1, r: 5}. What is prob of sequence rt?
5/42
Two letters picked without replacement from fmmkpmi. What is prob of sequence fi?
1/42
Calculate prob of sequence dyd when three letters picked without replacement from {l: 1, y: 1, d: 3}.
1/10
Four letters picked without replacement from zlnnxxnxaxrnanx. What is prob of sequence arxn?
5/3276
Four letters picked without replacement from ggggggg. Give prob of sequence gggg.
1
Three letters picked without replacement from {p: 5}. Give prob of sequence ppp.
1
Three letters picked without replacement from {q: 2, u: 3, p: 2, i: 4, j: 1, y: 6}. Give prob of sequence pyq.
1/204
What is prob of sequence ze when two letters picked without replacement from {b: 6, n: 3, h: 1, z: 4, e: 1, w: 1}?
1/60
Calculate prob of sequence bss when three letters picked without replacement from sbssbsssbssbsssbss.
65/408
Three letters picked without replacement from {e: 8, q: 3}. What is prob of sequence qqq?
1/165
Three letters picked without replacement from bccskscbkbbkknw. What is prob of sequence wks?
4/1365
What is prob of sequence ww when two letters picked without replacement from gwwggggg?
1/28
Four letters picked without replacement from qqbq. What is prob of sequence qqbq?
1/4
Calculate prob of sequence urry when four letters picked without replacement from {y: 3, c: 3, d: 1, r: 2, u: 1}.
1/840
Calculate prob of sequence ii when two letters picked without replacement from {i: 12, z: 1}.
11/13
Calculate prob of sequence qa when two letters picked without replacement from {a: 5, q: 3, r: 2}.
1/6
Two letters picked without replacement from uuurpppfnrfuuu. Give prob of sequence fp.
3/91
Three letters picked without replacement from {q: 1, x: 1, c: 1}. What is prob of sequence qqc?
0
What is prob of sequence bjw when three letters picked without replacement from wyjjywybyybyyyjyby?
1/272
Two letters picked without replacement from {u: 3, m: 4, y: 1}. Give prob of sequence um.
3/14
Calculate prob of sequence nb when two letters picked without replacement from {e: 2, h: 1, n: 1, b: 1}.
1/20
Calculate prob of sequence wv when two letters picked without replacement from {v: 1, w: 1, r: 11}.
1/156
Calculate prob of sequence trtr when four letters picked without replacement from {r: 5, t: 5}.
5/63
Four letters picked without replacement from {j: 4, y: 3, h: 1, t: 7, d: 1}. Give prob of sequence ddhh.
0
Two letters picked without replacement from {f: 1, z: 1, q: 1}. Give prob of sequence fq.
1/6
Four letters picked without replacement from {k: 6, m: 4, o: 3, u: 6}. Give prob of sequence uuko.
15/2584
Calculate prob of sequence jj when two letters picked without replacement from {v: 2, s: 8, j: 5}.
2/21
Two letters picked without replacement from {k: 1, u: 2, w: 1, d: 2, f: 1, p: 1}. Give prob of sequence du.
1/14
What is prob of sequence plp when three letters picked without replacement from lplp?
1/6
What is prob of sequence yit when three letters picked without replacement from ityiityt?
3/56
Three letters picked without replacement from tqqiprh. What is prob of sequence qrt?
1/105
Calculate prob of sequence qgq when three letters picked without replacement from qgssqsqqgsdgs.
3/143
Calculate prob of sequence fp when two letters picked without replacement from nhhfhnthtfptnta.
1/105
What is prob of sequence fff when three letters picked without replacement from {f: 4}?
1
Three letters picked without replacement from {y: 5, l: 8}. What is prob of sequence lll?
28/143
What is prob of sequence tdt when three letters picked without replacement from ttuudttdd?
1/14
Four letters picked without replacement from nhgnyngpyy. What is prob of sequence hpgg?
1/2520
Three letters picked without replacement from {v: 4, m: 1, j: 2}. What is prob of sequence mjj?
1/105
What is prob of sequence sioi when four letters picked without replacement from {w: 2, s: 1, o: 1, i: 2, h: 2}?
1/840
Three letters picked without replacement from jelcqqlellcctll. Give prob of sequence tej.
1/1365
Calculate prob of sequence az when two letters picked without replacement from {k: 3, z: 3, a: 12}.
2/17
Three letters picked without replacement from yyyyyyyyyy. Give prob | {
"pile_set_name": "DM Mathematics"
} |
863 - 851. Which is the third smallest value? (a) -3 (b) k (c) -3.2 (d) 2
d
Suppose 2*w + 96 = -r, -13*r + 5*w - 319 = -9*r. Let h = r - -259/3. Which is the biggest value? (a) 18 (b) h (c) 4/3
a
Let y be (5/(-13))/(20/8). Which is the second biggest value? (a) -14 (b) -1 (c) y (d) 6
c
Let i = 0.09 - 0.19. Suppose u = 2*v + 2, -3*u + 16 = 8*v - 18. Which is the fourth biggest value? (a) -4 (b) v (c) i (d) 0.8
a
Let w be (1*(-4)/4)/2*-4. Let t be 2/(-628)*(4 - 40/5). What is the third smallest value in -2/7, t, w?
w
Let q = 10.3 + -10. Let x be ((-12)/30)/((-8)/10)*0. Let l(m) = -2*m**2 - m. Let v be l(x). Which is the biggest value? (a) v (b) q (c) 1/9 (d) -0.3
b
Let q = -19954.93 - -19955. Which is the smallest value? (a) 289 (b) q (c) 1 (d) -5/2 (e) 0.5
d
Let p = 2/184871 - -828776667/2403323. Let l = -1282 - -937. Let w = l + p. Which is the third biggest value? (a) w (b) -15 (c) 0.2
b
Let v be 10794/(-27) + 24/(-972)*9. What is the second biggest value in -1/12, 0, v?
-1/12
Let q = 2028 - 2033. Which is the biggest value? (a) -114 (b) -2 (c) 1 (d) 0 (e) q
c
Let b = -39 + 135. Let o = -102 + b. What is the third smallest value in o, 3, 5?
5
Let x = 21.7 - -120.3. Let v = x + -142.2. Which is the third smallest value? (a) -3/4 (b) -2/33 (c) v
b
Suppose 7 - 16 + 21 = 3*g. Let m be 9*(2/21 + 0). Which is the biggest value? (a) m (b) g (c) 1 (d) 0
b
Let v = -4.85016 - 0.08574. Let m = -0.0641 + v. Let r = -19/12 - -1/4. What is the second smallest value in m, -2/3, r, 2/3?
r
Let h(l) = -l**3 + l**2 - 7*l + 720. Let y be h(0). Let f = y + -723. Let j = -1.1 - -0.1. Which is the third biggest value? (a) 2/3 (b) f (c) j
b
Let y = 14961.3 - 14962. Which is the fifth smallest value? (a) y (b) -2 (c) 8 (d) -1/2 (e) -5
c
Let w be (-6)/4*(-910)/39. Let h be -8 - (w/7 - 16). Which is the second smallest value? (a) 2 (b) h (c) 6
b
Let l(i) = -4*i + 165. Let j be l(45). Let t be (35/126*1)/(j/(-9)). Which is the biggest value? (a) t (b) 0.5 (c) 1 (d) -0.4
c
Suppose 0 = 4*l + 3*h + 25, -38*l + 34*l = -3*h - 17. Which is the smallest value? (a) -0.3 (b) 2/5 (c) 0.6 (d) l (e) 2
d
Let x = -1.472 - 0.398. Let u = x - -1.47. Let v(o) = -o**2 + 4*o - 1. Let k be v(4). Which is the smallest value? (a) k (b) u (c) 2/5
a
Let p = -13941 - -13947. Which is the smallest value? (a) -2/29 (b) p (c) 3 (d) -1.3
d
Let m = 24 - 24.4. Let s = 15 - 11. Let j be (-133)/(-209) + 12/33. Which is the second biggest value? (a) -3/7 (b) m (c) j (d) s
c
Let p = -7479.8 - -7479.3. Let k = 1.7 - -0.3. Which is the biggest value? (a) p (b) 5 (c) -0.1 (d) k
b
Let f(n) = 10856*n - 16. Let o be f(7). Let i = o - 2659529/35. Let g = 52/5 + i. Which is the smallest value? (a) g (b) -3/4 (c) -5 (d) -3
c
Let q = 26.125 - 26.195. Let t be (-2)/12*(-6)/(-9). Which is the smallest value? (a) t (b) 0.3 (c) q (d) 4
a
Let d = -0.028 - -2.958. Let i = 0.07 + d. Let z be (-26)/(-140) - (-8)/(-20). What is the smallest value in i, z, -0.1, 3/5?
z
Let i be (-2 + -69 + -3)*(-18)/(-162) - -8. Which is the fourth biggest value? (a) i (b) 26 (c) 0.5 (d) -2
d
Let k = -0.8 - -4.8. Suppose 5*f + 3*t + 23 - 7 = 0, 0 = -f - 2*t + 1. What is the smallest value in k, f, -33/5?
-33/5
Suppose -4*y + 19 = t, 4*y - 4*t = 4 - 0. Let f = 360 - 359.691. Let b = f - 0.009. What is the biggest value in b, -13, y?
y
Let m(v) = 3*v**3 - 4*v**2 + 16*v + 49. Let x be m(-5). Let f be 16/168 - (3 - x/21). Which is the third smallest value? (a) 2/13 (b) 5 (c) f (d) -3
a
Let g(n) = -2*n**3 + n**2 + 2*n - 2. Let i be g(1). Let b = 128 - 133. What is the biggest value in 3, b, i?
3
Suppose 3*t = -27*z + 24*z + 15, -9 = -3*z. Let k be ((-5 - -7)*t/16)/(-5). What is the second biggest value in 1, 0.2, k?
0.2
Let y = 0.0089 + -0.2089. Which is the second smallest value? (a) 6/17 (b) y (c) 0.2
c
Let w be (16 + (-260)/15)*(1 + (-1)/10). Let u = -5 - -9. What is the fourth smallest value in w, u, -0.001, 1?
u
Let x = -9007 - -9003. What is the biggest value in 2, -10, x, 3/2, 1/5?
2
Let z = -224 - -134. Let s = -105.5 - z. Let r = 15 + s. Which is the biggest value? (a) 41 (b) r (c) -0.2
a
Let n = -19.5 + 22.2. Let k = n + -1.8. Let p = -1 + 4. Which is the smallest value? (a) k (b) 1 (c) p
a
Let m = -0.3 + 2.3. Let t = 66.7 + -66.3. Which is the third smallest value? (a) -2/5 (b) m (c) t
b
Let x be (-2)/(-4) - (-46)/92. Let j be x/(-5)*(-5925)/158. Which is the third biggest value? (a) -1 (b) -0.4 (c) 2 (d) j
b
Let n(k) = k - 3. Let q be n(6). Let v be 1 + 25 + 43 + -37. Suppose 42 - v = -5*o. Which is the third smallest value? (a) o (b) -1 (c) q
c
Let y(n) = 2*n - 6. Let u be y(4). Suppose -27*z + 18*z + 44*z + 175 = 0. Which is the third biggest value? (a) -0.5 (b) 1 (c) z (d) u
a
Let q(w) = 2*w**2 - w - 11. Let n be q(3). Let h be 2/(n - 30/8). Which is the second smallest value? (a) h (b) -6 (c) 0.4
c
Suppose -5*q = 2*w - 6*w + 17, 3 = -q + w. Let g = 4802.5 + -4802. Which is the fourth smallest value? (a) 0.2 (b) -4 (c) g (d) q
c
Let o = -343 - -129. Let u = 212 + o. Let j = -0.44 + 0.04. Which is the fourth smallest value? (a) u (b) 21 (c) j (d) 2
b
Suppose w + w = -10. Let r = -6799.5 + 6800. Suppose 4*i + 1 = 3*i. Which is the third biggest value? (a) -2/5 (b) i (c) w (d) r
b
Let j = -107.38 - -3.4. Let s = j + 0.98. Let x = 103.01 + s. What is the third biggest value in 0.4, x, 2/9?
x
Let o = 33 + -33.075. Let v = 4.925 - o. Let m = -11 - -10.6. Which is the biggest value? (a) v (b) -2/13 (c) m
a
Let i be (15/8)/((-2262)/(-3016)). Which is the fifth smallest value? (a) -61 (b) -3/4 (c) i (d) 1/6 (e) -3
c
Let w = -4108 + 4108.4. What is the fourth biggest value in -0.1, 2/15, w, 0.7?
-0.1
Suppose -25*o - 8*o - 891 = 0. Suppose 0 = 3*d - 3, 2*u + 3*u = -4*d + 229. Let t be 3 - 3/u*33. Which is the biggest value? (a) o (b) t (c) 2/13
b
Let x = -0.5199 - -0.6199. Which is the third smallest value? (a) x (b) -155 (c) -0.4 (d) 2/3
a
Let q be 4/6 + (-19)/24. Let s = -399023/4 + 99755. What is the second biggest value in 2/7, s, -0.1, q?
-0.1
Let o = -18134.8 - -18135. Which is the biggest value? (a) -3/2 (b) 3/2 (c) 2 (d) o
c
Let q = 25799 + -25794. Which is the biggest value? (a) 2.4 (b) q (c) 54
c
Let v be 2*30/(-20) + 1 + -2. Which is the third smallest value? (a) v (b) -0.8 (c) -0.7
c
Let x = 14.3 + -7.1. Let q = -6.2 + x. Let z be 7/(-1) - 77/(-11). What is the third biggest value in q, -1, -0.1, z?
-0.1
Let v = -0.075 - -3.555. Let k = -2.98 + v. Let z(d) = -d**3 - 3*d**2 + 4*d. Let b be z(-4). What is the biggest value in b, 4, k, -4?
4
Suppose 3*q - 4*w - 35 = 0, 2*q - w + 6*w + 15 = 0. Let d = 226 - -159. Let l = -385 + d. What is the third smallest value in l, -0.3, 1/6, q?
1/6
Let m = -22.6 + 25.6. Let u = m + -3.8. What is the third smallest value in -1/2, 0.4, u?
0.4
Let m be (-2 + 2)/3 - -6. Let w be 2 + -7 + 34/m. Let l be (6/20)/(2/(-5)). Which is the third biggest value? (a) -0.1 (b) l (c) -0.4 (d) w
c
Let f = 1.349 + -101.049. Let z = -100 - f. What is the second smallest value in -3/2, -3/4, z, 3?
-3/4
Let u = 0.51 - 259.51. Let b = -264 - u. What is the third biggest value in -29, b, -4?
-29
Let s = -12 - -1. Let j = 7.02 + -0.02. Let h = j + s. What is the third biggest value in 2/7, 0.06, h?
h
Let z = 3.321 + -6.321. What is the fifth biggest value in z, 3/2, 5, 0.01, -0.2?
z
Let o = -712 - -712.214. Let f = -0.414 + o. Let b be (-19)/(-24) + (-6)/9. What is the third smallest value in 2, f, b, -0.05?
b
Let z = -610.2 - -665.2. What is the second smallest value in 3/4, -0.6, z, 3?
3/4
Let n be 220 + -219 - (-6)/(-7). Which is the second biggest value? (a) 5 (b) n (c) 1/2 (d) 6
a
Let i = 1818.2 + -1813.2. Which is the second biggest value? (a) -4 (b) 0.3 (c) -4.7 (d) i
b
Let s = 112.94 + -114. Let z = 0.06 + s. Let u = 1098.7 - 1099. Which is the third smallest value? (a) -35 (b) z (c) u
c
Let a = -21 - -15.6. Let f = a - -5. Let n = -727.2 + 727.1. What is the third smallest value in n, -0.02, f, 2/11?
-0.02
Let x = -1415.37 + 1416. What is the third smallest value in 0.3, -1, x?
x
Let h = -558/5 - -112. Let q = 137 + -1505/11. Which is the sm | {
"pile_set_name": "DM Mathematics"
} |
).
9800*u**4
Let g(h) = -71 + 140 - 69 + 535*h. Let s(v) = 2*v. Determine s(g(w)).
1070*w
Suppose d - 5 + 3 = 0. Let p(v) = 45*v**d - 47*v**2 - 31*v**2. Let j(c) = 2*c. Determine j(p(t)).
-66*t**2
Let g = 87 + -77. Let z(f) = -g*f**2 - 11*f**2 + 33*f**2. Let w(y) = y**2. Calculate w(z(o)).
144*o**4
Let r(n) = -n - 30. Let w(c) = 961*c**2. What is w(r(q))?
961*q**2 + 57660*q + 864900
Let v(s) = 539*s. Let u(h) = -h + 11. Determine v(u(i)).
-539*i + 5929
Let m(w) = -2*w. Let c(t) = 2*t - 2*t - 36*t**2 + 73*t**2. Determine m(c(u)).
-74*u**2
Let a(t) be the third derivative of -17*t**6/720 + 5*t**4/12 - 14*t**2. Let l(q) be the second derivative of a(q). Let i(m) = -m**2. Determine i(l(o)).
-289*o**2
Let f = 3 - -7. Let u = 26 - f. Let r(k) = 17*k - 4 + 4 - u*k. Let l(b) = -6*b**2. Calculate l(r(d)).
-6*d**2
Let u(z) = 2*z**2. Let a(n) = 1128*n**2 + 4*n + 62. Give a(u(q)).
4512*q**4 + 8*q**2 + 62
Let f(q) = -591*q**2. Let j(a) be the third derivative of a**4/12 - 50*a**2 + 4*a. Give f(j(n)).
-2364*n**2
Let z(b) = -90*b**2. Let q(h) = 3*h. Let j(c) = c. Let x(o) = 7*j(o) - 3*q(o). Determine z(x(n)).
-360*n**2
Let r(p) = 2*p. Let z(l) = 2086*l**2 - 3. What is r(z(t))?
4172*t**2 - 6
Let s(t) = 134*t**2 + 142*t**2 + 143*t**2 - 417*t**2. Let j(i) = -581*i. Calculate j(s(a)).
-1162*a**2
Let v(b) = -4*b**2 - 9. Let j(l) = -2*l**2 - 4. Let q(n) = -9*j(n) + 4*v(n). Let m(x) be the second derivative of -x**4/12 + 6*x. Give q(m(g)).
2*g**4
Let k(x) = 15*x**2. Let u(j) = 280*j**2 + 1. What is u(k(m))?
63000*m**4 + 1
Let f(x) = 27*x**2 + 3*x - 23. Let o(b) = -102*b. Calculate o(f(a)).
-2754*a**2 - 306*a + 2346
Let t(h) = -2*h**2 - 53*h. Let n(q) = 5865*q. Calculate t(n(b)).
-68796450*b**2 - 310845*b
Let n(s) be the third derivative of 13*s**5/10 + 35*s**2. Let d(o) = 3*o. Calculate n(d(q)).
702*q**2
Let u(g) = 6*g**2 - 9*g + 2. Let l(i) = -2*i. Calculate u(l(x)).
24*x**2 + 18*x + 2
Let i(b) = -28*b. Let u(v) be the first derivative of -4*v**3/3 + 14. Give i(u(h)).
112*h**2
Let l(n) = 23*n**2 - 3*n. Let i(w) = w. Let v(j) = -3*i(j) - l(j). Let q(t) be the first derivative of -24 + 0*t - 1/2*t**2. Give q(v(a)).
23*a**2
Let o(r) = 6*r - 2. Let j(l) = -680*l**2. What is j(o(k))?
-24480*k**2 + 16320*k - 2720
Let c(b) = -b**2. Let u(s) = -68063*s. Give c(u(q)).
-4632571969*q**2
Let r(u) = 249*u. Let x(h) = -h + h - 237492*h**2 + 237489*h**2. Calculate r(x(q)).
-747*q**2
Let j(h) = -6*h**2 - 23*h - 10. Let l(t) = 4*t. Calculate l(j(n)).
-24*n**2 - 92*n - 40
Let p(v) = -3*v. Let g(n) be the first derivative of -17*n**3/6 + 46*n - 45. Let l(q) be the first derivative of g(q). Determine p(l(a)).
51*a
Let m(h) = 10*h. Let n be 5 - (-3 - (10887/72)/(-19)). Let g(b) be the third derivative of 0*b**3 + 0*b - 2*b**2 - n*b**4 + 0. Give m(g(w)).
-10*w
Let v(u) = u. Let k(f) = 8*f - 4. Let x(l) = 7*l - 3. Suppose -c + d - 3*d = -13, 2*c + 5*d = 31. Let z(p) = c*k(p) - 4*x(p). Determine v(z(a)).
-4*a
Let g(z) = 9*z**2. Let l(y) = -9*y**2. Let v(n) = 4*g(n) + 5*l(n). Let b(o) be the first derivative of -8*o**3/3 + 1. Give v(b(i)).
-576*i**4
Let v(i) = 2*i + 47. Let d(r) = 2*r - 9. Let y(q) = 3*q - 15. Let g(b) = -5*d(b) + 3*y(b). Calculate v(g(u)).
-2*u + 47
Let x(u) = u - 43. Suppose 7*i + p = 4*i + 16, -4*p - 4 = -5*i. Let z(y) = i*y**2 - 17*y**2 + 8*y**2 + 3*y**2. Calculate x(z(w)).
-2*w**2 - 43
Let z(g) = -2*g**2. Let x(c) = 1. Let m(f) = 27*f + 54. Let r(l) = m(l) - 54*x(l). Calculate z(r(o)).
-1458*o**2
Let d(c) = -197946*c. Let o(y) = 21*y**2. Give d(o(q)).
-4156866*q**2
Let l(d) = 0*d + 0*d - d**2. Let y(m) = 15*m. Let q(h) = -6*h - h - h. Let p(x) = -9*q(x) - 4*y(x). Give l(p(v)).
-144*v**2
Let p(x) = 2*x. Let l(u) = -4*u**2 + 1. Let i(y) = 23*y**2 + 31. Let j(h) = i(h) + 2*l(h). Determine j(p(g)).
60*g**2 + 33
Let d(n) = -5*n. Let c(f) be the first derivative of -2*f**3/3 - f**2/2 + 383. What is c(d(q))?
-50*q**2 + 5*q
Let v be (4/(-3))/((-4)/54). Suppose 0 = 3*g + 3*i - v, -3*g + 14 = -0*i + 2*i. Let o(u) = 3 + 1 - 4 + 13*u**g. Let k(q) = -2*q. Determine k(o(j)).
-26*j**2
Let y(r) = 13*r + 10. Let f(g) = 11*g + 12. Let x(l) = 5*f(l) - 6*y(l). Let u(s) = -7*s**2. Calculate u(x(d)).
-3703*d**2
Let y(a) be the second derivative of a**3/3 + 95*a. Let p(s) = -12*s**2. Give y(p(r)).
-24*r**2
Let i(v) be the second derivative of 30*v + 0*v**2 + 0 + 0*v**3 + 1/3*v**4. Let g(x) be the second derivative of -x**3/6 + x. Give g(i(a)).
-4*a**2
Let m(o) = o - 5. Let j(z) = -376*z. Give m(j(l)).
-376*l - 5
Let m(n) = -3*n. Let o(l) = -5*l - 174. Let c(p) = -2*p - 58. Let f(z) = -8*c(z) + 3*o(z). Give m(f(t)).
-3*t + 174
Let v(r) be the first derivative of -5*r**3/3 + 63. Let y(z) be the second derivative of -z**3/3 - z. Determine v(y(b)).
-20*b**2
Let x(c) be the first derivative of 17*c**3/3 - 2. Suppose -2*v + 2 = 4. Let o(t) = 1. Let f(y) = -y + 3. Let d(z) = v*f(z) + 3*o(z). Give d(x(p)).
17*p**2
Let k(a) = 2*a**2 + 5*a + 1. Let o be k(-2). Let s(t) = 2*t + 10. Let r(x) = -1. Let f(p) = o*s(p) - 10*r(p). Let z(b) = 9*b. Calculate z(f(y)).
-18*y
Let k(s) = 4*s. Let i(d) = -21*d - 36. Let x(p) = -p - 2. Let w = 92 + -110. Let v(b) = w*x(b) + i(b). Give v(k(q)).
-12*q
Let f(t) be the first derivative of 2*t**3 + 2 + 4 - 3 + 6. Let x(y) = y + 5. Let w(b) = b + 4. Let g(v) = 5*w(v) - 4*x(v). Determine g(f(p)).
6*p**2
Let n(w) = 15*w**2. Let g(v) = -550*v**2 - 350. Let p(i) = 19*i**2 + 12. Let b(a) = 6*g(a) + 175*p(a). Calculate n(b(o)).
9375*o**4
Let p(c) be the second derivative of 0 + 0*c**3 + 0*c**2 + 1/12*c**4 + c. Let t(a) = -222*a + 441*a - 215*a. Determine p(t(h)).
16*h**2
Let o(t) = -2167*t - 77. Let n(b) = -57*b - 2. Let d(k) = -77*n(k) + 2*o(k). Let c(u) = u. Calculate c(d(q)).
55*q
Let k(v) = 2*v. Let s(w) = 2*w**2 + 51. Let x(o) = -o**2 - 26. Let p(c) = 2*s(c) + 5*x(c). Let t(g) be the first derivative of p(g). Calculate k(t(i)).
-4*i
Let i(x) = -x**2. Let o(b) = -7*b + 406. Let y be o(58). Let l(k) be the third derivative of 0 + 0*k**3 + 5*k**2 + y*k**4 + 13/60*k**5 + 0*k. What is i(l(c))?
-169*c**4
Let a(m) = -56*m**2. Let r(b) be the first derivative of -b**5/120 + 8*b**3/3 + 6. Let w(z) be the third derivative of r(z). Determine w(a(v)).
56*v**2
Let p(h) = -10*h**2. Let y(g) = 2*g**2 - 46*g. Calculate y(p(w)).
200*w**4 + 460*w**2
Let w(f) = -f**2 - 2. Let r(j) = -2*j**2 - 3. Suppose -t = -5*h - 0*t + 6, -5*t + 20 = 0. Let s(n) = h*r(n) - 3*w(n). Let d(q) = q**2. Calculate d(s(v)).
v**4
Let g(l) = -88010*l**2. Let v(p) = 31*p. Determine v(g(o)).
-2728310*o**2
Let j(x) = 11*x. Let k(d) = -2*d. Let f(o) = j(o) + 4*k(o). Let y(c) be the first derivative of -23*c**3/3 - 4. What is y(f(n))?
-207*n**2
Let p(o) = -3*o. Let m(t) = 4*t**2 + 8. Let x(y) = -14. Let j(b) = 5. Let v(i) = 17*j(i) + 6*x(i). Let r(d) = -m(d) + 8*v(d). Calculate r(p(k)).
-36*k**2
Let u be (-3)/12 - 34/(-8). Let x be (-197 + -1)*(-220)/165. Let d(j) = -264 - u*j + x. Let a(k) = 5*k**2. Determine a(d(l)).
80*l**2
Let m(p) be the second derivative of -p**4/12 + 2*p. Let f(j) be the first derivative of -3*j**2/2 + 2*j - 1369. What is f(m(a))?
3*a**2 + 2
Let d(i) = 5*i**2 - 4*i**2 - 5*i**2. Let q(a) = -3 + 21 - 7 + 24 - 35*a + 85*a**2. Let v(z) = 5*z**2 - 2*z + 2. Let k(r) = 2*q(r) - 35*v(r). Determine d(k(w)).
-100*w**4
Let b(j) be the second derivative of 5*j**3/6 - 3*j**2/2 + 3*j. Let v(f) = 14*f - 8. Let h(d) = 8*b(d) - 3*v(d). Let y(t) = t. Give y(h(x)).
-2*x
Let s(c) be the second derivative of -14*c**3/3 - 21*c**2/2 + 42*c. Let y(o) = -o - 1. Let k(r) = -s(r) + 21*y(r). Let d(f) = 8*f**2. What is d(k(b))?
392*b**2
Let a(t) be the first derivative of 6*t**2 - 5*t + 26. Let g(l) = -3*l. Give a(g(v)).
-36*v - 5
Let l be (-38)/14 - (-4)/(-14). Let w(j) = 7*j - 7*j - 3 + j + 2*j - 2*j. Let c(a) = -6*a + 14. Let u(o) = l*c(o) - 14*w(o). Let k(x) = 7*x**2. What is k(u(t))?
112*t**2
Let q(v) = 18*v - 15. Let x(l) = -l + 1. Let h(o) = -q(o) - 15*x(o). Let a(g) be the first derivative of 9*g**2/2 - 39. Determine h(a(f)).
-27*f
Let d(s) = -3*s**2. Let h(j) = -1. Suppose y - 10 = 2. Let g(n) = 10*n**2 + 12. Let c(b) = y*h(b) + g(b). What is d(c(i))?
-300*i**4
Let u(n) = -42*n. Let c(s) = -s + 220. Determine c(u(o)).
42*o + 220
Let h(j) = -j**2 + j - 1. Let i be 0 + -5 - (-3 + -1). Let q(r) = -2*r**2 + r - 1. | {
"pile_set_name": "DM Mathematics"
} |
+ 0*c**4 + 0*c**6 + c + 4/3*c**3 + 0*c**5. What is the second derivative of x(n) wrt n?
160*n**3
Let t(c) = 0*c**2 - 20 - 15*c**2 + 10*c - 35 - 8*c + c**4. Let g(y) = 2*y**4 - 30*y**2 + 5*y - 110. Let q(u) = 2*g(u) - 5*t(u). Differentiate q(w) wrt w.
-4*w**3 + 30*w
Let p(n) = 2057*n**5 + 20*n**2 + 9*n + 50. Let u(r) = 514*r**5 + 5*r**2 + 2*r + 13. Let k(f) = 2*p(f) - 9*u(f). What is the third derivative of k(s) wrt s?
-30720*s**2
Let t(x) = x**2 + 16*x + 20. Let h be t(-15). What is the second derivative of h*y - 19*y - 34*y**2 - 7*y - 4 + 2 wrt y?
-68
Differentiate 9*c**3 + 114 + 48*c**3 - 583*c**3 + 5 with respect to c.
-1578*c**2
Let j(h) = 54*h**2 - 5*h + 142. Let f(n) = -54*n**2 + 6*n - 142. Let x(b) = 3*f(b) + 4*j(b). Find the first derivative of x(d) wrt d.
108*d - 2
Let w(y) = -129*y**3 + 111*y**2 + 5*y + 6. Let t(o) = -127*o**3 + 110*o**2 + 4*o + 5. Let g(k) = -6*t(k) + 5*w(k). Find the third derivative of g(b) wrt b.
702
Let a(c) be the first derivative of -399*c**4/4 + 215*c**2/2 - 441. What is the second derivative of a(m) wrt m?
-2394*m
Let r(b) be the second derivative of -b**5/5 - b**4/12 - b**3/6 - 4*b. Let s be r(-1). What is the derivative of 2*u**4 + u**s - 3 - 8*u**4 wrt u?
-20*u**3
Let z(p) be the third derivative of 0*p**3 + 0*p**4 + 0*p**7 + 22*p**2 - 5/12*p**5 + 0*p + 0*p**6 + 0 - 11/84*p**8. Find the third derivative of z(d) wrt d.
-2640*d**2
Let w(i) = -1. Let u be (-8)/(-12) + 5/(-3). Suppose -3*n - 7 = -1. Let z(s) = -2*s. Let l(j) = n*w(j) + u*z(j). What is the derivative of l(r) wrt r?
2
What is the derivative of 6 + 7*z**2 + 7 - 7*z + 13 + 0 wrt z?
14*z - 7
Let v(c) = 28*c - 83. Let f(w) = w - 3. Let i(a) = -28*f(a) - 4*v(a). Find the first derivative of i(u) wrt u.
-140
Let r(f) be the third derivative of 11*f**7/210 + 11*f**6/120 - 5*f**4/24 - 2*f**3 - f**2 + 134. What is the second derivative of r(k) wrt k?
132*k**2 + 66*k
Let g(q) = -27*q**2 + 18. Let t be -2 - 40/(-18) - (-86)/18. Let l(z) = -26*z**2 + 19. Let o(f) = t*g(f) - 4*l(f). Find the first derivative of o(j) wrt j.
-62*j
Suppose 0 = k + 4*k - 50. Let o(z) = -z**2 + 9*z + 10. Let l be o(k). What is the first derivative of l + 0 + 3 + 6*s**3 - s**3 wrt s?
15*s**2
Let i be (-3 - (-3)/2)*-2. Let k be (-1*i)/(-5 - -4). What is the derivative of -6 - 3*d**4 + 0*d**2 + 3*d**2 - k*d**2 wrt d?
-12*d**3
Let c be (9 - 7) + 0 + -26. Let w = c + 26. Find the first derivative of -16*o**w + 9*o**2 + o**2 + 6 wrt o.
-12*o
Let h(b) be the first derivative of 371*b**5/5 - 166*b**2 - 310. Find the second derivative of h(o) wrt o.
4452*o**2
Let o(m) = -4*m - 16. Let n be o(-5). What is the derivative of 8 + 9*u**4 - n - 29*u**4 + 2 wrt u?
-80*u**3
Suppose 3*o + 11 = 5*o + 5*u, o - 1 = 2*u. Differentiate -12*i**4 - 3*i**3 + 21 - 6*i**3 + 9*i**o with respect to i.
-48*i**3
Suppose 0 = 4*q - 7*q - 12. Let a = q + 7. What is the second derivative of -4*p + 2*p**a + 0*p**3 + p wrt p?
12*p
Suppose 7*g = 5*g + 4*u + 20, 2*g - 26 = 2*u. Find the second derivative of -g*j + 7*j**2 + j - 17*j + j**2 wrt j.
16
What is the third derivative of 8*q - 4*q**2 + 3*q**2 - 184*q**6 + 11*q + 2*q**4 + 186*q**6 wrt q?
240*q**3 + 48*q
Let w(b) = b**3 + 7*b**2 - 8*b + 2. Suppose 0 = -3*c + 5*c + 12. Let z be w(c). What is the third derivative of z*y - 86*y + y**5 + 2*y**2 wrt y?
60*y**2
Suppose 0 = -f + 5 + 7. Let t = f - 8. What is the second derivative of -2*u + 1 + 0 - t*u**2 - 1 wrt u?
-8
What is the first derivative of 47*v**4 - 264*v**3 + 264*v**3 + 47*v**4 + 168 wrt v?
376*v**3
Differentiate 42 + 38 - 39 + 28 + 189*q**2 wrt q.
378*q
Let j(s) be the second derivative of s**9/756 + s**5/12 - 17*s**4/12 - 2*s. Let q(p) be the third derivative of j(p). Find the first derivative of q(o) wrt o.
80*o**3
Let c(m) be the second derivative of -1/5*m**5 + 0*m**2 + 0 + 0*m**3 - 5*m - 11/12*m**4. Find the third derivative of c(b) wrt b.
-24
Suppose 3*z = z + v - 5, -5*z - 19 = 4*v. Let s(x) = 19*x + 5. Let y(g) = -10*g - 3. Let j(n) = z*s(n) - 7*y(n). Differentiate j(w) with respect to w.
13
Let c(m) = -82*m**2 + 5*m + 4. Let d(w) = -329*w**2 + 19*w + 16. Let i(h) = 9*c(h) - 2*d(h). Find the second derivative of i(a) wrt a.
-160
Let c(p) = p + 19. Let m(d) = 1. Let x(i) = c(i) - 4*m(i). Let r be x(-14). What is the second derivative of r - 3*n - 1 - 8*n**5 wrt n?
-160*n**3
Let q(f) be the second derivative of 27/2*f**2 + 0*f**5 + 0*f**4 + 44*f + 0 + 0*f**3 + 7/6*f**6. Find the first derivative of q(j) wrt j.
140*j**3
Let h(k) be the second derivative of 0 + 0*k**2 + 5/12*k**4 + 11*k + 0*k**3 - 11/10*k**5. What is the third derivative of h(f) wrt f?
-132
Let b(j) = 4*j - 15. Let v(h) = -h - 1. Let a be (1/((-1)/(-2)))/(-2). Let m(k) = a*b(k) + 5*v(k). What is the derivative of m(g) wrt g?
-9
Let d(t) = 1211*t**2 + 39*t + 7. Let r(y) = -606*y**2 - 17*y - 4. Let q(z) = -4*d(z) - 7*r(z). Find the second derivative of q(g) wrt g.
-1204
Let a(b) be the first derivative of -104*b**5/5 - 5*b + 96. Differentiate a(w) wrt w.
-416*w**3
Let c(w) be the third derivative of w**6/80 - w**5/15 - w**4/12 - 5*w**2. Let f(p) be the second derivative of c(p). Find the first derivative of f(t) wrt t.
9
Let n(h) be the first derivative of h**5 - 11*h + 5. Let v(u) = 21*u**4 - 44. Let x(j) = 9*n(j) - 2*v(j). What is the first derivative of x(p) wrt p?
12*p**3
Let m(v) = 2*v + 19. Let p be m(-8). What is the third derivative of 0 - 43*s**p + 41*s**3 + 0 - 13*s**2 wrt s?
-12
Let g(y) be the first derivative of 23/6*y**6 + 0*y**5 + 3 + 0*y**2 - 8/3*y**3 + 0*y + 0*y**4. What is the third derivative of g(z) wrt z?
1380*z**2
Let q = -640/3 - -214. Let k(s) be the first derivative of q*s**3 - s**2 + 0*s - 4. Find the second derivative of k(d) wrt d.
4
Find the third derivative of 157*g**3 + 81*g**3 + 2 + 21 + 2*g**2 + 6 wrt g.
1428
Let p = -24 - -21. Let b be (4/(-8))/(p/42). Find the second derivative of -6*z - 3*z**4 + 5*z**4 + b*z**4 - z wrt z.
108*z**2
Let p(w) be the third derivative of -w**8/14 + w**6/120 - w**5/60 + 9*w**4/4 - 6*w**2 + 2. What is the third derivative of p(h) wrt h?
-1440*h**2 + 6
Let u be ((13 - 27)/(-196))/(4/14). Let x(m) be the third derivative of u*m**4 + 0 + 0*m + 7*m**2 - 2/3*m**3. Find the first derivative of x(p) wrt p.
6
Let v be (5/2 - 0)*(-24)/(-10). What is the second derivative of -6*t**4 - 11*t**4 - 13*t + v*t wrt t?
-204*t**2
Let k(i) be the first derivative of -5*i**4/4 + 296*i - 221. Find the first derivative of k(j) wrt j.
-15*j**2
Find the first derivative of -107*f**3 - 173*f**3 + 24 + 67 + 84*f**3 + 222 wrt f.
-588*f**2
Let q = 87 + -79. Suppose 4*b + 14 = 2*p, 3*p + b - 2*b - 16 = 0. Find the second derivative of 13*n**p + 3*n - q*n**5 - 2*n wrt n.
100*n**3
Let c(g) = 62*g**4 - 82*g**2 + 5*g + 5. Let j(w) = 62*w**4 - 82*w**2 + 4*w + 4. Let p(x) = 4*c(x) - 5*j(x). Find the third derivative of p(v) wrt v.
-1488*v
What is the second derivative of 0*h + 48 - 21 - 28 - 10*h - 168*h**2 wrt h?
-336
Suppose 0 = z + c, -5*z - 2*c + 10 - 4 = 0. Let b be (-140)/(-14) - (-7)/(-1). What is the second derivative of 2*j - z*j**3 + j**b + 7*j**3 wrt j?
36*j
Let w(o) be the first derivative of o**7/140 + 17*o**6/360 + 23*o**3/3 - 17. Let s(n) be the third derivative of w(n). Find the third derivative of s(b) wrt b.
36
Let s(u) be the first derivative of -19*u**7/840 + 5*u**6/72 + 5*u**3/3 - 10. Let d(q) be the third derivative of s(q). Find the third derivative of d(n) wrt n.
-114
Let o(t) be the third derivative of 17*t**8/112 + t**5/10 + 5*t**3/6 + 2*t**2 - 63. What is the third derivative of o(i) wrt i?
3060*i**2
Let w(a) = -11*a**3 - 11*a**2 + 4. Let q = 11 + -16. Let n(j) = 12*j**3 + 12*j**2 - 5. Let h(g) = q*w(g) - 4*n(g). What is the third derivative of h(x) wrt x?
42
Let p(x) = x**3 + 10*x**2 - 2*x - 8. Suppose -4*h - 6 = 34. Let f be p(h). Find the third derivative of 0*q**5 + 4*q**5 + f*q**2 - 17*q**2 wrt q.
240*q**2
Let p(g) be the first derivative of -13*g**2/2 - 189*g + 147. Differentiate p(h) with respect to h.
-13
Suppose -56 + 8 = -8*j. Let z(a) = 8*a**2 + 24. Let g(v) = 25*v**2 + 71. Let q(u) = j*g(u) - 17*z(u). What is the first derivative of q(h) wrt h?
28*h
What is the derivative of -3041*f + 129 + 5922*f - 3000*f wrt f?
-119
Let j(p) = p**5 + p**3 + p**2 + p - 1. Let y(l) = | {
"pile_set_name": "DM Mathematics"
} |
jnosh?
1/10
What is prob of picking 2 f and 2 h when four letters picked without replacement from httfkfffhhhhffft?
3/26
Two letters picked without replacement from {c: 2, n: 1, k: 1, v: 1, q: 1, j: 1}. Give prob of picking 1 j and 1 n.
1/21
Calculate prob of picking 4 k when four letters picked without replacement from {k: 17, f: 1}.
7/9
Four letters picked without replacement from {s: 2, c: 6, t: 4}. Give prob of picking 1 s and 3 t.
8/495
Four letters picked without replacement from oszbosnozzszbsbszznz. What is prob of picking 1 n, 2 o, and 1 z?
14/1615
Calculate prob of picking 1 q, 1 b, and 2 r when four letters picked without replacement from bdbbrrbqddbbrddb.
3/260
Four letters picked without replacement from rlcc. Give prob of picking 4 l.
0
Two letters picked without replacement from {s: 1, z: 1, v: 1, e: 1, b: 1}. What is prob of picking 1 z and 1 e?
1/10
Two letters picked without replacement from {p: 1, r: 8, b: 7, x: 2, c: 2}. Give prob of picking 2 b.
21/190
What is prob of picking 3 r and 1 b when four letters picked without replacement from {r: 2, b: 18}?
0
Calculate prob of picking 1 k and 1 h when two letters picked without replacement from khhkkhkhhkkkhhkkhh.
9/17
Calculate prob of picking 1 s, 1 w, and 1 n when three letters picked without replacement from sntnqfw.
2/35
Two letters picked without replacement from {h: 3, b: 2, d: 5, w: 1, k: 8}. What is prob of picking 2 k?
28/171
Three letters picked without replacement from fbfbbbffbfbb. Give prob of picking 2 f and 1 b.
7/22
Four letters picked without replacement from {l: 2, d: 3, p: 1, y: 1, w: 6}. What is prob of picking 1 l and 3 d?
2/715
Two letters picked without replacement from kkkkukkkkku. Give prob of picking 2 u.
1/55
Three letters picked without replacement from wwkwjjwfwjwwww. What is prob of picking 1 f, 1 k, and 1 j?
3/364
Four letters picked without replacement from ccxxcx. What is prob of picking 1 c and 3 x?
1/5
Four letters picked without replacement from ootot. Give prob of picking 3 o and 1 t.
2/5
Two letters picked without replacement from scbbyyccs. Give prob of picking 1 c and 1 y.
1/6
Two letters picked without replacement from iihhyoyaygyyyoy. Give prob of picking 1 y and 1 g.
1/15
Calculate prob of picking 3 z when three letters picked without replacement from {z: 3, i: 1}.
1/4
Calculate prob of picking 1 a, 1 t, and 1 r when three letters picked without replacement from rpztzra.
2/35
Calculate prob of picking 1 b and 2 z when three letters picked without replacement from ziiziibinbi.
2/165
Four letters picked without replacement from {b: 6, v: 1, s: 3, z: 3, y: 2}. Give prob of picking 2 z and 2 y.
1/455
Calculate prob of picking 1 w and 2 s when three letters picked without replacement from {w: 3, s: 15, k: 2}.
21/76
Three letters picked without replacement from {z: 3, c: 4, w: 5, o: 1}. What is prob of picking 1 c, 1 z, and 1 w?
30/143
Three letters picked without replacement from wwwwwwzwwwwwwwwwwww. Give prob of picking 3 w.
16/19
Three letters picked without replacement from {r: 4, v: 3}. What is prob of picking 1 v and 2 r?
18/35
Calculate prob of picking 1 o, 1 s, and 1 u when three letters picked without replacement from {o: 4, s: 2, u: 1}.
8/35
What is prob of picking 1 g and 1 k when two letters picked without replacement from wuguguuktukttkug?
3/40
What is prob of picking 1 v and 1 q when two letters picked without replacement from {r: 9, a: 1, v: 2, q: 2}?
4/91
Two letters picked without replacement from {v: 2, y: 1, c: 4, k: 1, j: 4, w: 6}. Give prob of picking 1 v and 1 y.
2/153
What is prob of picking 1 q, 1 w, and 1 n when three letters picked without replacement from {w: 1, b: 2, c: 1, q: 2, n: 1}?
2/35
Calculate prob of picking 1 a and 1 s when two letters picked without replacement from awsasawwzsaww.
2/13
Three letters picked without replacement from fmrrmfffr. What is prob of picking 1 r and 2 f?
3/14
What is prob of picking 2 y and 2 x when four letters picked without replacement from xxyx?
0
Calculate prob of picking 4 v when four letters picked without replacement from {v: 9, k: 5}.
18/143
Calculate prob of picking 1 s and 1 r when two letters picked without replacement from rrgesgsgeggsg.
1/13
What is prob of picking 1 w, 1 l, and 1 s when three letters picked without replacement from ssllwllswllswwlwswww?
14/57
Three letters picked without replacement from iililzizilzii. Give prob of picking 2 l and 1 i.
21/286
Three letters picked without replacement from {p: 1, m: 1, d: 1, j: 1, q: 1}. What is prob of picking 1 m, 1 p, and 1 q?
1/10
What is prob of picking 1 s and 1 v when two letters picked without replacement from {s: 12, v: 7}?
28/57
Three letters picked without replacement from vzccvvvzzzzcp. What is prob of picking 3 c?
1/286
Three letters picked without replacement from {k: 3, x: 1}. Give prob of picking 1 x and 2 k.
3/4
Four letters picked without replacement from swrrwlfal. Give prob of picking 1 a, 1 l, 1 s, and 1 w.
2/63
What is prob of picking 1 u and 2 n when three letters picked without replacement from uupnnpuuuuuuu?
9/286
What is prob of picking 1 e and 2 a when three letters picked without replacement from {i: 1, u: 3, s: 4, a: 4, e: 4}?
3/70
Two letters picked without replacement from nnp. Give prob of picking 1 p and 1 n.
2/3
Four letters picked without replacement from dpvpddbjbdbdpbdn. What is prob of picking 1 p, 1 j, 1 n, and 1 v?
3/1820
Two letters picked without replacement from jpjiioojjiijijoji. Give prob of picking 1 j and 1 p.
7/136
Four letters picked without replacement from {c: 2, s: 12, h: 2, e: 2, l: 1}. Give prob of picking 1 h, 1 s, 1 l, and 1 e.
4/323
Calculate prob of picking 1 o and 1 q when two letters picked without replacement from {v: 7, q: 1, d: 4, o: 3, s: 3}.
1/51
Two letters picked without replacement from qqq. What is prob of picking 2 q?
1
What is prob of picking 3 x and 1 n when four letters picked without replacement from nxxxxxxxxxxxnnx?
44/91
What is prob of picking 1 v and 3 h when four letters picked without replacement from xxxxhhhxvvxxnnx?
2/1365
Two letters picked without replacement from pkoekppkkpkkpkoke. Give prob of picking 1 p and 1 o.
5/68
Calculate prob of picking 2 f when two letters picked without replacement from {l: 2, x: 8, f: 3, q: 4}.
3/136
Calculate prob of picking 4 j when four letters picked without replacement from jjjjjjj.
1
Three letters picked without replacement from {z: 6, w: 1, u: 1, s: 4, y: 4, f: 3}. What is prob of picking 1 f and 2 y?
6/323
Calculate prob of picking 1 p and 2 k when three letters picked without replacement from {k: 10, p: 9}.
135/323
Three letters picked without replacement from rprqcrcpqpepnr. Give prob of picking 2 c and 1 q.
1/182
Two letters picked without replacement from {a: 6, z: 1, i: 1, b: 2, r: 7}. Give prob of picking 1 b and 1 z.
1/68
Three letters picked without replacement from {v: 7, n: 9}. Give prob of picking 3 v.
1/16
Calculate prob of picking 1 f and 2 s when three letters picked without replacement from siiimiiaftafafifsima.
1/285
What is prob of picking 2 n when two letters picked without replacement from {n: 2, l: 8, b: 2, k: 6}?
1/153
What is prob of picking 2 j when two letters picked without replacement from {q: 5, j: 5, g: 3}?
5/39
What is prob of picking 2 i when two letters picked without replacement from cciciivcciiicii?
4/15
Calculate prob of picking 1 l and 3 h when four letters picked without replacement from ssdlccyh.
0
Calculate prob of picking 1 d and 1 n when two letters picked without replacement from {r: 4, u: 1, d: 1, e: 1, t: 3, n: 2}.
1/33
Four letters picked without replacement from {u: 4, m: 3, o: 7, n: 1, q: 1, l: 2}. Give prob of picking 1 l, 2 o, and 1 n.
7/510
Three letters picked without replacement from {b: 1, f: 4, e: 5, u: 1, j: 3}. What is prob of picking 3 j?
1/364
Calculate prob of picking 1 i and 1 z when two letters picked without replacement from ieiefzfziefefifietf.
10/171
What is prob of picking 2 b when two letters picked without replacement from nbbn?
1/6
Calculate prob of picking 1 a and 1 k when two letters picked without replacement from {g: 6, m: 3, a: 3, k: 7}.
7/57
What is prob of picking 2 t when two letters picked without replacement from aaat | {
"pile_set_name": "DM Mathematics"
} |
77
What is the square root of 131397079 to the nearest integer?
11463
What is the third root of 24726677 to the nearest integer?
291
What is 172471146 to the power of 1/2, to the nearest integer?
13133
What is 42512914 to the power of 1/3, to the nearest integer?
349
What is 227686524 to the power of 1/7, to the nearest integer?
16
What is the third root of 324564072 to the nearest integer?
687
What is 2558226608 to the power of 1/6, to the nearest integer?
37
What is 1114293158 to the power of 1/4, to the nearest integer?
183
What is the seventh root of 75707899 to the nearest integer?
13
What is the square root of 229956074 to the nearest integer?
15164
What is 9654481813 to the power of 1/4, to the nearest integer?
313
What is the third root of 695117540 to the nearest integer?
886
What is the ninth root of 728018322 to the nearest integer?
10
What is 148619309 to the power of 1/10, to the nearest integer?
7
What is 56685913 to the power of 1/10, to the nearest integer?
6
What is the eighth root of 1066018298 to the nearest integer?
13
What is 7656007994 to the power of 1/4, to the nearest integer?
296
What is the third root of 883222092 to the nearest integer?
959
What is the cube root of 57364869 to the nearest integer?
386
What is 788108066 to the power of 1/2, to the nearest integer?
28073
What is the square root of 292076185 to the nearest integer?
17090
What is the square root of 6539051 to the nearest integer?
2557
What is the third root of 1200326788 to the nearest integer?
1063
What is the third root of 357095870 to the nearest integer?
709
What is the ninth root of 1590052415 to the nearest integer?
11
What is 57998207 to the power of 1/5, to the nearest integer?
36
What is the ninth root of 266903716 to the nearest integer?
9
What is 33908697 to the power of 1/2, to the nearest integer?
5823
What is the tenth root of 360896780 to the nearest integer?
7
What is 3152315975 to the power of 1/2, to the nearest integer?
56145
What is the third root of 537190337 to the nearest integer?
813
What is the cube root of 430201368 to the nearest integer?
755
What is 458693146 to the power of 1/3, to the nearest integer?
771
What is 585704300 to the power of 1/8, to the nearest integer?
12
What is the third root of 1117424288 to the nearest integer?
1038
What is the ninth root of 812724176 to the nearest integer?
10
What is 150886131 to the power of 1/8, to the nearest integer?
11
What is the fourth root of 13872716 to the nearest integer?
61
What is the third root of 804804464 to the nearest integer?
930
What is the cube root of 321290194 to the nearest integer?
685
What is 76881481 to the power of 1/6, to the nearest integer?
21
What is 33271044 to the power of 1/3, to the nearest integer?
322
What is the square root of 12169370 to the nearest integer?
3488
What is the sixth root of 622694578 to the nearest integer?
29
What is 793099618 to the power of 1/3, to the nearest integer?
926
What is the cube root of 660510610 to the nearest integer?
871
What is the sixth root of 50100438 to the nearest integer?
19
What is the third root of 1046410249 to the nearest integer?
1015
What is 128654501 to the power of 1/9, to the nearest integer?
8
What is the fourth root of 1630031353 to the nearest integer?
201
What is the eighth root of 392944277 to the nearest integer?
12
What is the seventh root of 566976705 to the nearest integer?
18
What is 8750247350 to the power of 1/2, to the nearest integer?
93543
What is the eighth root of 895252288 to the nearest integer?
13
What is 3287171454 to the power of 1/2, to the nearest integer?
57334
What is 33602353 to the power of 1/3, to the nearest integer?
323
What is the square root of 817003311 to the nearest integer?
28583
What is the eighth root of 23804324 to the nearest integer?
8
What is the cube root of 75613387 to the nearest integer?
423
What is the cube root of 54244077 to the nearest integer?
379
What is 2714658934 to the power of 1/2, to the nearest integer?
52102
What is 137205956 to the power of 1/2, to the nearest integer?
11713
What is the cube root of 383937380 to the nearest integer?
727
What is 2174298999 to the power of 1/2, to the nearest integer?
46629
What is the third root of 496615359 to the nearest integer?
792
What is 253262325 to the power of 1/2, to the nearest integer?
15914
What is the square root of 638573603 to the nearest integer?
25270
What is the sixth root of 125080455 to the nearest integer?
22
What is 145440788 to the power of 1/8, to the nearest integer?
10
What is the square root of 53782371 to the nearest integer?
7334
What is the square root of 238007055 to the nearest integer?
15427
What is the third root of 241713827 to the nearest integer?
623
What is 314973354 to the power of 1/4, to the nearest integer?
133
What is 396531328 to the power of 1/2, to the nearest integer?
19913
What is the eighth root of 174995242 to the nearest integer?
11
What is 806944589 to the power of 1/3, to the nearest integer?
931
What is the third root of 229236877 to the nearest integer?
612
What is the square root of 43354836 to the nearest integer?
6584
What is the third root of 25615088 to the nearest integer?
295
What is the cube root of 1365048265 to the nearest integer?
1109
What is the third root of 39892487 to the nearest integer?
342
What is the eighth root of 153888262 to the nearest integer?
11
What is the fifth root of 3144386308 to the nearest integer?
79
What is the eighth root of 57888046 to the nearest integer?
9
What is 20335110 to the power of 1/5, to the nearest integer?
29
What is the square root of 189891603 to the nearest integer?
13780
What is 1275217623 to the power of 1/3, to the nearest integer?
1084
What is 48604121 to the power of 1/3, to the nearest integer?
365
What is the fourth root of 17540321 to the nearest integer?
65
What is 45049346 to the power of 1/2, to the nearest integer?
6712
What is the fourth root of 184686713 to the nearest integer?
117
What is 547920768 to the power of 1/2, to the nearest integer?
23408
What is 3976289089 to the power of 1/2, to the nearest integer?
63058
What is 135105934 to the power of 1/6, to the nearest integer?
23
What is 79036086 to the power of 1/4, to the nearest integer?
94
What is the cube root of 13208472 to the nearest integer?
236
What is 3454878 to the power of 1/2, to the nearest integer?
1859
What is the cube root of 82709555 to the nearest integer?
436
What is 287356936 to the power of 1/4, to the nearest integer?
130
What is the square root of 21552386 to the nearest integer?
4642
What is 751402506 to the power of 1/2, to the nearest integer?
27412
What is the tenth root of 989766216 to the nearest integer?
8
What is the square root of 2286116030 to the nearest integer?
47813
What is 1658006348 to the power of 1/2, to the nearest integer?
40719
What is 200716108 to the power of 1/2, to the nearest integer?
14167
What is the third root of 195598306 to the nearest integer?
580
What is the cube root of 298302784 to the nearest integer?
668
What is the eighth root of 72556126 to the nearest integer?
10
What is the third root of 611854329 to the nearest integer?
849
What is 394408876 to the power of 1/9, to the nearest integer?
9
What is the ninth root of 24337232 to the nearest integer?
7
What is the cube root of 50993413 to the nearest integer?
371
What is the fourth root of 5582339449 to the nearest integer?
273
What is the third root of 26922682 to the nearest integer?
300
What is the cube root of 2175729267 to the nearest integer?
1296
What is the third root of 1021887996 to the nearest integer?
1007
What is 562173651 to the power of 1/2, to the nearest integer?
23710
What is 115266202 to the power of 1/5, to the nearest integer?
41
What is 4580485 to the power of 1/9, to the nearest integer?
5
What is the ninth root of 7707270714 to the nearest integer?
13
What is the third root of 49182273 to the nearest integer?
366
What is the cube root of 22945030 to the nearest integer?
284
What is 445655025 to the power of 1/10, to the nearest integer?
7
What is the cube root of 392232379 to the nearest integer?
732
What is the square root of 35193555 to the nearest integer?
5932
What is 72003920 to the power o | {
"pile_set_name": "DM Mathematics"
} |
111000001?
-101000001001110001
In base 13, what is 537382 - -b?
537390
In base 13, what is -18a31a5 + -1?
-18a31a6
In base 2, what is -111 - -100111111000000011100?
100111111000000010101
In base 6, what is -2005 - 10023423?
-10025432
In base 16, what is 2 - -de8ca33?
de8ca35
In base 13, what is -16 + 26cb3c9?
26cb3b3
In base 6, what is -1134105 - -200?
-1133505
In base 6, what is -1 + -5441113541?
-5441113542
In base 11, what is 4 + 266210?
266214
In base 14, what is -dc1c0 + -813?
-dc9d3
In base 7, what is -413 - 250420?
-251133
In base 14, what is -726d - 17b0?
-8a3d
In base 11, what is 862915 + -6?
86290a
In base 6, what is -1 - -30522224?
30522223
In base 14, what is 895 + -7dab4?
-7d21d
In base 9, what is 637 - 25700?
-25052
In base 7, what is 124613 + -24653?
66630
In base 11, what is -5110a9 + a?
-51109a
In base 14, what is 986 + dd91?
10937
In base 10, what is -174751 - -330?
-174421
In base 14, what is -c + 2741ad0?
2741ac2
In base 11, what is 67375a + 4?
673763
In base 15, what is -a + 57c38b?
57c381
In base 5, what is 4 + -31242440211?
-31242440202
In base 5, what is -41000441 + 11?
-41000430
In base 13, what is -2200c + -4649?
-26658
In base 4, what is 1121313333 - 200?
1121313133
In base 2, what is -11001 - 1110000100100001100100001?
-1110000100100001100111010
In base 2, what is 11111110101100010100010000 - -1110?
11111110101100010100011110
In base 12, what is 37b9b3 + -2?
37b9b1
In base 3, what is 1022101002 - -2120?
1022110122
In base 15, what is 29e7 - 306?
26e1
In base 10, what is 9 - 12650032?
-12650023
In base 2, what is -11 + 101010011110001000101100?
101010011110001000101001
In base 15, what is 6 + b531b?
b5322
In base 11, what is -12a75 - -46?
-12a2a
In base 4, what is -1111 - -303230210?
303223033
In base 6, what is -205431153 + -1?
-205431154
In base 7, what is -12024454 - 603?
-12025360
In base 13, what is -3 - -16523435?
16523432
In base 5, what is -10 + -12132224112?
-12132224122
In base 8, what is -2376 + -177552?
-202150
In base 10, what is -4479 + -1297?
-5776
In base 5, what is -1140411 - 1332131?
-3023042
In base 15, what is 6 - -272574?
27257a
In base 14, what is 37 + -10c965a?
-10c9623
In base 16, what is 1109f - a2?
10ffd
In base 9, what is -1817424 + -375?
-1817810
In base 12, what is -1092 - -1a?
-1074
In base 13, what is abb75 - 111a?
aaa58
In base 16, what is 1 + -32afb25?
-32afb24
In base 16, what is a9fab0 - -4?
a9fab4
In base 5, what is 10 - 302034333340?
-302034333330
In base 13, what is 79230 - 6?
79227
In base 4, what is -3323 + 13303030?
13233101
In base 15, what is 7 + -50a?
-503
In base 15, what is -376 - -203e1?
2006a
In base 14, what is 1a598 + -232?
1a366
In base 9, what is 560771 - -22?
560803
In base 4, what is -11301 - 11232200?
-11310101
In base 14, what is 6060 - -b9?
6139
In base 12, what is -7 - 67123b5?
-6712400
In base 12, what is 30bb00 + 2?
30bb02
In base 12, what is 893b6b2 + -3?
893b6ab
In base 12, what is 3b20b00b + -9?
3b20b002
In base 16, what is 14 - 903c?
-9028
In base 16, what is -52be90f - -4?
-52be90b
In base 16, what is -1 - -4813fb6?
4813fb5
In base 3, what is -1001210001020222 + -100?
-1001210001021022
In base 3, what is -1011101110210 + 100012?
-1011101010121
In base 8, what is -5574636727 - 1?
-5574636730
In base 4, what is 1030022012320 + 0?
1030022012320
In base 6, what is 1 + 1453353450?
1453353451
In base 10, what is 352263 - -21?
352284
In base 5, what is -323133330 - 10?
-323133340
In base 13, what is 39 + 28524b?
285287
In base 12, what is 1a + 2751ba2?
2752000
In base 5, what is 143402421 + 1412?
143404333
In base 11, what is 545 + -40281?
-3a837
In base 3, what is 121210221 + -20120001?
101020220
In base 14, what is 4a4 - 2ab5?
-2611
In base 5, what is -10420112242 + -43?
-10420112340
In base 16, what is -e23d + -f96?
-f1d3
In base 4, what is -10201 + 1332122?
1321321
In base 13, what is -2 - 5914c6?
-5914c8
In base 7, what is -230121043 - 52?
-230121125
In base 10, what is -2 - 7013515?
-7013517
In base 12, what is 1 - 128278?
-128277
In base 14, what is 57838a1 + -4?
578389b
In base 4, what is 130013213010 - 1?
130013213003
In base 15, what is 85 - -80cc23?
80cca8
In base 4, what is 31201 - -11000121000?
11000212201
In base 3, what is -111210021 - -201111021?
12201000
In base 11, what is 99453 - -21?
99474
In base 5, what is 1 + -10040410212?
-10040410211
In base 12, what is b99537 - 43?
b994b4
In base 11, what is 5 - -3185348?
3185352
In base 10, what is -9727618 + 5?
-9727613
In base 4, what is -300320113 + -1330?
-300322103
In base 6, what is 4412355 - 5535?
4402420
In base 12, what is 3956 + -1a167?
-16411
In base 13, what is 837b3 - -130?
83913
In base 9, what is -46162 + -30806?
-77068
In base 15, what is 53795 + 5?
5379a
In base 6, what is 25550554 + -120?
25550434
In base 15, what is 208a + -87e?
170b
In base 10, what is -259391770 + 5?
-259391765
In base 15, what is -16e21e59 + 2?
-16e21e57
In base 2, what is -111011 - 1111111011100111101100?
-1111111011101000100111
In base 3, what is 10 - -2020212001120002?
2020212001120012
In base 8, what is -15634123 + -152?
-15634275
In base 15, what is -3b - -1c755?
1c719
In base 10, what is -4 + 6567282?
6567278
In base 16, what is -ff + 19c42?
19b43
In base 5, what is -20 + 431340421?
431340401
In base 7, what is 4563146523 - -5?
4563146531
In base 3, what is 22101 - -1002101121?
1002200222
In base 13, what is 3130b1 - -3?
3130b4
In base 4, what is -3 - 2122001330?
-2122001333
In base 11, what is 3248 - -21a47?
25194
In base 6, what is 135405 + 12253?
152102
In base 3, what is -10120 + -112122110222?
-112122121112
In base 9, what is 1638612 + 2?
1638614
In base 5, what is -10 + 31313144123?
31313144113
In base 10, what is -51964665 - -5?
-51964660
In base 6, what is 52035500 + 32?
52035532
In base 7, what is 615066 + 13212?
631311
In base 5, what is 2 + 11232421214?
11232421221
In base 6, what is -52 - -25242023?
25241531
In base 13, what is -6879a7 + 9?
-68799b
In base 5, what is -2241 - 4413344?
-4421140
In base 12, what is -5 + -71b86a6?
-71b86ab
In base 8, what is 4 - 222575360?
-222575354
In base 11, what is 26858192 + -6?
26858187
In base 3, what is -221 - -2120212201202?
2120212200211
In base 7, what is 105 + 53502112?
53502220
In base 13, what is -691c0c0 - -8?
-691c0b5
In base 3, what is -121022 + -122212210?
-200111002
In base 16, what is 2dbd92a + -2?
2dbd928
In base 7, what is -5561335 + 2152?
-5556153
In base 3, what is -201202122 + -2002?
-201211201
In base 11, what is -378455 - -a?
-378446
In base 5, what is -10 - 21020022044?
-21020022104
In base 11, what is 4 + 1110497?
11104a0
In base 10, what is -100 + 1942072?
1941972
In base 11, what is -2780 + -7554?
-a224
In base 13, what is -316b3 - -454?
-3125c
In base 16, what is -1 + 3eab72?
3eab71
In base 3, what is -211012212 - -10020011?
-200222201
In base 15, what is -3e1e2115 - 5?
-3e1e211a
In base 7, what is 4 + -10655225?
-10655221
In base 12, what is 72416 + -101?
72315
In base 16, what is -b - -dd9475?
dd946a
In base 11, what is -4 - a25a89a?
-a25a8a3
In base 9, what is -171710 + 85?
-171614
In base 9, what is 5 + 3823504?
3823510
In base 10, what is -1756988 - 2?
-1756990
In base 5, what is -303110030021 + -4?
-303110030030
In base 12, what is -3 - 10aba02a?
-10aba031
In base 9, what is 140 + 154433?
154573
In base 10, what is 2116134 - 6?
2116128
In base 14, what is 2c0d81 + -9?
2c0d76
In base 3, what is -21002201211210 + 0?
-21002201211210
In base 16, what is 46 - 148fad?
-148f67
In base 3, what is -212101200112012 + 21?
-212101200111221
In base 15, what is 123a + -1bb38?
-1a8ed
In base 16, what is -a71 + -38db?
-434c
In base 11, what is 72533 - -84a?
73282
In base 5, what is -13 - -14341024?
14341011
In base 10, what is -15 - -19410322?
19410307
In base 7, what is -525062615 + 1?
-525062614
In base 13, what is 1189 - -a043?
b1cc
In base 7, what is 634446 - 14661?
616455
In base 11, what is -98 - 272767?
-272854
In base 14, what is 5 - 14b9db?
-14b9d6
In base 2, what is -1101 - -10111010110101100111001?
10111010110101100101100
In base 9, what is 2 + -44558780?
-44558777
In base 7, what is 1 - -362132566?
362132600
In base 2, what is -10000000 + 110100110000011001001?
110100110000001001001
In base 14, what is 74 + 7032?
70a6
In base | {
"pile_set_name": "DM Mathematics"
} |
Let h(y) = 11*y + 12. Let r(b) = -5*b - 6. Suppose 0 = -9*k - 118 + 55. Give k*r(s) - 3*h(s).
2*s + 6
Let f(b) = -59*b**2 - 11*b + 477. Let s(q) = -32*q**2 - 6*q + 238. What is -6*f(w) + 11*s(w)?
2*w**2 - 244
Let h(j) = -j + 1. Suppose y + 12 = -3*y. Let c(z) = -82 - 3*z + 2*z + 167 - 83. Calculate y*c(d) + 6*h(d).
-3*d
Let u = -1 + 3. Let p(z) = z**3 + 2*z - 2. Let d(c) be the second derivative of c**5/4 + 5*c**3/3 - 11*c**2/2 - 6*c + 4. What is u*d(a) - 11*p(a)?
-a**3 - 2*a
Let j be ((-4)/(-2) - -1)/(79/(-237)). Let y(k) = -4*k**3 - 4*k**2 + 4*k - 4. Let r(f) = -7*f**3 - 9*f**2 + 9*f - 9. Calculate j*y(m) + 4*r(m).
8*m**3
Let z(w) = 99*w - 29 - 25 + 77 - 23. Let k(g) = -9*g. What is -54*k(l) - 5*z(l)?
-9*l
Let y(v) = -v**2 - v + 1. Let u(q) = 2*q**2 - 2*q - 1. Let m = 49 - 50. Calculate m*y(h) + u(h).
3*h**2 - h - 2
Let m(z) = -21*z**2 + 4*z + 12. Let w(d) = 43*d**2 - 9*d - 25. Let x(v) = 9*m(v) + 4*w(v). Let b(h) = -33*h**2 + 15. Calculate 6*b(j) - 11*x(j).
-11*j**2 + 2
Let i(t) = 25*t + 6. Let j(o) = 24*o + 5. Calculate -3*i(v) + 4*j(v).
21*v + 2
Suppose 8 + 16 = 3*g. Let f(t) = 3*t**2 - 8*t. Let y(x) = 6*x + 1. Let a be y(1). Let r = 12 - a. Let q(p) = -2*p**2 + 5*p. Give g*q(c) + r*f(c).
-c**2
Let l(v) = v**3 + 6*v**2 - 5*v + 6. Let p(a) be the first derivative of 13/3*a**3 - 4 - 11/2*a**2 + 1/2*a**4 + 13*a. What is -13*l(h) + 6*p(h)?
-h**3 - h
Let y = -88 + 93. Let f(t) = -7*t**3 + 3*t**2 - 5*t + 1. Let z(k) = -11*k**3 + 5*k**2 - 8*k + 2. What is y*z(r) - 8*f(r)?
r**3 + r**2 + 2
Let r(i) = 1 + 15*i - 22823*i**2 + 22824*i**2 - 14*i. Let w(k) = -15*k**3 + 5*k**2 + 5*k + 5. What is 5*r(t) - w(t)?
15*t**3
Suppose 6 - 10 = -4*r. Let o(a) = a**2 + 1. Let q(y) = -4*y**2 - 5. Let d(k) = r*q(k) + 5*o(k). Let s(j) = -7*j**2. What is -6*d(c) - s(c)?
c**2
Let u(f) = -16*f**2 - 11*f - 328. Let m(b) = -3*b**2 - 2*b - 66. Calculate -11*m(n) + 2*u(n).
n**2 + 70
Let b(i) = -2*i**2 + 4*i + 5. Let p(j) = 5*j**2 - 9*j - 11. Let o be 10/(-4)*(-28)/35. Suppose -o*a = a + 9. Calculate a*p(r) - 7*b(r).
-r**2 - r - 2
Let k(y) = 2*y - 2. Let d(c) = -c + 22. Let n be d(19). Suppose -4*x = -3*x + n. Let v(g) = -2*g + 3. What is x*k(i) - 2*v(i)?
-2*i
Let k(n) = 93*n**2 + 4*n - 4. Let c(x) = -x + 1. What is 4*c(s) + k(s)?
93*s**2
Let f(b) = -142*b**3 - 5*b**2 + 5. Let q(j) = -285*j**3 - 9*j**2 + 9. What is 9*f(a) - 5*q(a)?
147*a**3
Let u(o) = -133*o + 646 + 285*o**2 + 587 - 1100. Let x(d) = 13*d**2 - 6*d + 6. Calculate -6*u(r) + 133*x(r).
19*r**2
Let b(q) = -16*q**2 - 202*q + 7. Let v(o) = -5*o**2 - 68*o + 2. Determine 2*b(f) - 7*v(f).
3*f**2 + 72*f
Let y(n) = 21*n**3 + 13*n - 9. Let k(g) be the first derivative of 11*g**4/4 + 7*g**2/2 - 5*g + 199. Determine 11*k(q) - 6*y(q).
-5*q**3 - q - 1
Let z(b) = -b**2 - 7*b - 3. Let o(d) = d + 1. What is -4*o(t) - z(t)?
t**2 + 3*t - 1
Let i(v) = 2*v**3 + 3*v**2 + 3*v - 2. Let z(r) = 61*r**2 + 2*r - 1 - 115*r**2 + 3*r**3 + 56*r**2. Give 2*i(w) - 3*z(w).
-5*w**3 - 1
Let z(m) = m**2 + 2*m. Suppose -18*p = -22*p - 4*n + 12, 0 = -4*p - 2*n + 18. Let v(u) = 3*u**2 + 7*u. Give p*v(s) - 21*z(s).
-3*s**2
Let f(q) = -2*q + 30. Let y(i) = 2*i - 45. What is -7*f(h) - 5*y(h)?
4*h + 15
Let a(v) = 5*v - 2. Let b(w) = 4*w - 2. Let l be -2*(3 + (-3)/(-6)). Let i be ((-2)/(-3))/((-4)/(-36)). Determine i*a(c) + l*b(c).
2*c + 2
Let c(u) = 6*u + 1. Let g(y) = 6*y**2 - 30*y - 34. What is 5*c(h) + g(h)?
6*h**2 - 29
Let b(g) be the second derivative of -7*g**3/3 + 7*g**2/2 + 217*g. Let j(a) = 7*a - 4. What is -4*b(q) - 7*j(q)?
7*q
Let c(f) = -3. Let k(p) = -4. Let v(q) = 5*c(q) - 4*k(q). Let a(z) = z + 7. Give -3*a(o) + 21*v(o).
-3*o
Let j(i) = 75*i + 71. Let w be j(-1). Let l(n) = -5*n**3. Let z(c) be the second derivative of c**5/5 + c. Give w*z(u) - 3*l(u).
-u**3
Let f(w) = 3 - 603905*w - w**2 + 603905*w. Let q(j) = -j**2 + 5. Determine -8*f(l) + 5*q(l).
3*l**2 + 1
Let c(s) be the third derivative of s**4/3 + 3*s**3/2 + s**2 - 18. Let q(z) = -4*z - 4. Give 2*c(i) + 5*q(i).
-4*i - 2
Let u(c) = -4*c**2 + 2*c - 1. Let h(k) = k**2 - 1. Give -h(b) - u(b).
3*b**2 - 2*b + 2
Let k(y) = -y**2. Let m(i) = i**2 + 1. Suppose 3*b + 2*b - 5*x - 90 = 0, -4*x + 33 = 3*b. Let r be (5/b - (-14)/3) + -1. Calculate r*k(w) + m(w).
-3*w**2 + 1
Let k(m) = -7*m**2 - 34*m + 32. Let p(o) = 6*o**2 + 26*o - 31. What is -3*k(r) - 4*p(r)?
-3*r**2 - 2*r + 28
Let b(n) = -21*n - 5. Let o(t) = 21*t + 6. Let h(u) = -5*b(u) - 6*o(u). Let s(k) = -14*k - 7. Calculate 5*h(i) - 8*s(i).
7*i + 1
Let p(j) = 16*j + 264. Let f(b) = 3*b. Determine -6*f(u) + p(u).
-2*u + 264
Let p(h) = -h**2 - h. Let t(y) = 4*y + 2. Let v(l) = 2*p(l) - t(l). Let u(o) = 2*o**2 + 7*o + 2. Give 5*u(r) + 6*v(r).
-2*r**2 - r - 2
Let h(r) = -4*r**3 + 5*r + 7. Let o = -354 - -362. Let s(p) = 6*p**3 - 8*p - 11. Determine o*h(w) + 5*s(w).
-2*w**3 + 1
Let k(r) = -2*r**3 + 3*r**2 - 6. Let m(c) = -3*c**3 - 2*c**2 + 0*c**2 + 3*c**3 - 3*c**3 + 4*c**3 + 5. Calculate -2*k(a) - 3*m(a).
a**3 - 3
Let r(n) = 636*n**3 - 12*n**2. Let z(l) = 2545*l**3 - 45*l**2. Calculate -15*r(o) + 4*z(o).
640*o**3
Let k(s) = 4*s**3 - s**2 + 4*s. Let d(a) = -9*a**3 + 3*a**2 - 9*a. Let r = -1771 - -1773. Calculate r*d(z) + 5*k(z).
2*z**3 + z**2 + 2*z
Let r be (-88)/(-6) + 3 + 2/6. Let f(y) = 13*y**3 + 9. Let s(c) = c**3 + 1. What is r*s(u) - 2*f(u)?
-8*u**3
Let h(q) = 2*q. Let a(c) = -12*c - 1 - 8*c + 18*c - c + c**2. Calculate 4*a(p) + 6*h(p).
4*p**2 - 4
Let x(z) be the third derivative of -z**5/30 - 3*z**4/8 + z**3/6 - 10*z**2. Let c = -11 + 6. Let t(l) = -7*l - 3*l - l**2 + 6*l. Calculate c*t(f) + 2*x(f).
f**2 + 2*f + 2
Let p = 28 + -74. Let y = p + 42. Let c(i) = i**2 - 4. Let u(f) = 3*f**2 - 9. What is y*u(m) + 9*c(m)?
-3*m**2
Let i(n) = -n**2 - 2*n + 1. Let j(c) = 3*c - 4. Let x(g) = -6*g + 7. Let a = -37 + 14. Let p = 28 + a. Let t(v) = p*j(v) + 3*x(v). Give -3*i(r) + 2*t(r).
3*r**2 - 1
Let g(l) = l**3 - l**2 - l. Let h(r) = 8*r**3 - 6*r**2 - 4*r. Let z = 72 - 95. Let j = 22 + z. Determine j*h(y) + 6*g(y).
-2*y**3 - 2*y
Let g(f) = -10*f + 10. Let t(b) be the first derivative of -b**4/24 + b**3/6 - 19*b**2/2 - 9. Let v(o) be the second derivative of t(o). Give 2*g(i) - 22*v(i).
2*i - 2
Let a(r) = -26*r - 10. Let s(k) = 5*k + 2. Let p = 273 + -257. Give p*s(w) + 3*a(w).
2*w + 2
Let s = 29 + -23. Suppose -5*c + 35 = -4*h, s*h + 31 = h + 2*c. Let z(q) = -6*q - 7. Let t(p) = p + 1. Determine h*t(d) - z(d).
d + 2
Let d(s) = -14*s + 6. Let b be -3*(-3 + (-4)/(-3)). Let o(i) = 0*i + 1 + 1 - b*i. Calculate -6*d(w) + 17*o(w).
-w - 2
Let b(u) = 5*u**2 + 23*u - 2. Let d(q) = 15*q**2 + 69*q - 7. What is 7*b(g) - 2*d(g)?
5*g**2 + 23*g
Let k(o) be the second derivative of 13*o**5/20 + 5*o**4/4 - o**3/2 - 7*o + 26. Let v(i) = 6*i**3 + 7*i**2 - i. What is 3*k(p) - 7*v(p)?
-3*p**3 - 4*p**2 - 2*p
Let b(m) = -m**2 + 5*m + 1. Let s be b(6). Let x(g) = -2. Let u(h) = h + 23. Let i(n) = n + 32. Let f(r) = 3*i(r) - 4*u(r). Calculate s*x(q) - 2*f(q).
2*q + 2
Suppose 0 = 2*q, -3*r = -4*r + 3*q. Let u(m) = 7 - 6 + r*m - 2*m + m. Let x(s) = -9 + 0*s + 2 + 2*s + s**2 + 3. Calculate 2*u(w) + x(w).
w**2 - 2
Let x(h) be the second derivative of -h**2 + 5*h - 1. Let a(p) = -p + 3. Calculate -3*a(l) - 5*x(l).
3*l + 1
Let g(x) = -x - 7. Let c(m) = -m + 1. Let p(t) = 4*c(t) + g(t). Let v(r) = -6*r - 3. What is -4*p(d) + 3*v(d)?
2*d + 3
Let n(s) = 11*s**3 + 9*s**2 + 17*s - 3. Let z(v) = 3*v**3 + 2*v**2 + 4*v - 1. What is -2*n(f) + 9*z(f)?
5*f**3 + 2*f - 3
Let k(s) = s + 8*s**2 - 2*s**2 - 2*s**2. Let x(z) be the first derivative of -13*z**3/3 - 3*z**2/2 + 383. What is 7*k(o) + 2*x(o)?
2*o**2 + o
Let b(g) = -2*g + g**2 + 7 + 3*g**2 - g**2 - 5*g. Suppose -5*p = k + 2, -2*p = k - 0*p + 5. Let y(q) = q**2 - 3*q + 3. Calculate k*y(w) + 3*b(w).
2*w**2
Let b(t) = -5 + 2 - 12*t - 1 + 14*t. Let u(q) = -2*q + 5. What is -3*b(j) - 2*u(j)?
-2*j + 2
Let b(v) = 27*v**2. Let f(y) = -25*y**2. What is -2*b(z) - 3*f(z)?
21*z**2
Let s(v) = 7*v - 47. Let g be s(7). Let n(f) be the first derivative of -f**2/2 - f - 2. Let x(k) = k - 1. Determine g*n(i) - x(i).
-3*i - 1
Let o(r) = 3*r + 1 - 3*r - 5*r. Let b(l) = l - 1. Suppose -7*h + 2*h - 160 = 0. Let t = -36 - h. Calculate t*b(u) - o(u).
u + 3
Let z be (-4)/(-22) - (4 + (-4408)/(-44)). Let c(w) = -16*w**3 - 3*w**2 - 3*w + 3. Let p(t) = -559*t | {
"pile_set_name": "DM Mathematics"
} |
60*t**3*y**3
What is the derivative of 4*l**4 - 335*l - 24670?
16*l**3 - 335
What is the second derivative of 2*s**4 + 23*s**2 + 5*s - 3?
24*s**2 + 46
Differentiate -822*k*l - 158*k + 2 wrt l.
-822*k
What is the second derivative of 34*h**3*v**2 - 920*h**3*v + h**2*v**2 - 2*h*v wrt v?
68*h**3 + 2*h**2
What is the derivative of -143*q**2 + 89?
-286*q
What is the second derivative of -43*y**3 + 2*y**2 + 182*y wrt y?
-258*y + 4
What is the second derivative of -3874*a**2 - 550*a wrt a?
-7748
What is the first derivative of 5*h**2 - 17*h + 410?
10*h - 17
Find the second derivative of -89*c**3 - 2*c**2 - 626*c wrt c.
-534*c - 4
Find the second derivative of 255*a**3*w**2 - 575*a*w**2 wrt a.
1530*a*w**2
What is the third derivative of -5*i**2*v**4 - 10*i**2 - 34*i*v**2 + 7*v**4 wrt v?
-120*i**2*v + 168*v
What is the first derivative of k**3 - 77*k**2 + 129?
3*k**2 - 154*k
Find the second derivative of 170*o**2 + 240*o wrt o.
340
What is the third derivative of -3425*r**6 - 919*r**2?
-411000*r**3
What is the third derivative of -4*m**4 + 3*m**3 - 198*m**2?
-96*m + 18
Differentiate -83*m*t - 324*t with respect to m.
-83*t
Find the second derivative of k*r**3*z + 2*k*r**3 + 4*k*r*z**2 - 2*k*z**2 - 2*k*z - 113*r**2*z**2 + 2*z wrt r.
6*k*r*z + 12*k*r - 226*z**2
What is the third derivative of -619*y**6 + 3*y**2 - 55?
-74280*y**3
What is the second derivative of -3*a**2*l**2 + 2*a**2*l + 81*l**5 - 4*l wrt l?
-6*a**2 + 1620*l**3
Find the second derivative of 6*g**3*y - 16*g**2*y**2 - g*y**2 + 2*g*y + 5*y**2 + 2*y wrt g.
36*g*y - 32*y**2
Find the second derivative of 30137*r**3 - r + 4867.
180822*r
Find the third derivative of -2061*y**3 + 501*y**2 - y.
-12366
Find the second derivative of 294*m**4 + 2*m + 39.
3528*m**2
Find the second derivative of -404*u**4 - 2*u + 589.
-4848*u**2
Find the third derivative of -40*d**6 + d**5 + 7*d**4 - d**2 - 975.
-4800*d**3 + 60*d**2 + 168*d
What is the third derivative of 19737*f**5 - 33*f**2 + 106 wrt f?
1184220*f**2
Find the second derivative of 86*i**5 - i**3*r**3*w - 74*i*r*w + i*r - 2*r**3*w wrt i.
1720*i**3 - 6*i*r**3*w
What is the third derivative of 20*t*v**4 - t*v**3 - 2*t*v - 40*v**3 - 720*v**2 wrt v?
480*t*v - 6*t - 240
What is the derivative of 126*i*n + 182*i + 4*n wrt n?
126*i + 4
Find the third derivative of 4506*d**3 + 23*d**2 - 2*d + 2 wrt d.
27036
What is the third derivative of 119*i**5*s**2 + 4*i**5 + 2*i**2*s**2 - 166 wrt i?
7140*i**2*s**2 + 240*i**2
Find the third derivative of 4122*q**3 + 2*q**2 - 8*q + 28.
24732
What is the third derivative of -297*c**4*f + 6*c**3*f - 475*c**2 + 2*f wrt c?
-7128*c*f + 36*f
What is the third derivative of -j*u**4*w + j*w + u**5 + 28*u**3*w**2 + 2*u**2 + 2*u*w**2 wrt u?
-24*j*u*w + 60*u**2 + 168*w**2
Find the second derivative of -4034*l**2 - 1171*l + 1 wrt l.
-8068
Find the third derivative of u**3*w**4 + 6*u**3*w**2 - 23*u**2*w**4 - 10*u**2*w**2 wrt w.
24*u**3*w - 552*u**2*w
Find the second derivative of -131*z**4 - 97*z - 1 wrt z.
-1572*z**2
Differentiate -2*c**3*v - 2*c**3 - 29*c*h - 45*h*v**3 + v**3 with respect to v.
-2*c**3 - 135*h*v**2 + 3*v**2
What is the second derivative of -318*o**3 - 21*o + 1 wrt o?
-1908*o
Find the third derivative of -2*u**4 + 81*u**3 + 16*u**2 + 1.
-48*u + 486
What is the third derivative of 387*b**4 + 116*b**2 wrt b?
9288*b
Find the second derivative of -9*f**5 - 23*f**2 - 223*f wrt f.
-180*f**3 - 46
What is the third derivative of -8003*q**3 + 2*q**2 + 2*q + 22?
-48018
Find the first derivative of -4*g*k**3 - 505*g*k - 851*k**3 wrt g.
-4*k**3 - 505*k
Find the second derivative of -71*q**5 - 73*q - 1.
-1420*q**3
What is the first derivative of -4*l*v*x - 78*l*x*z**2 - v*x*z - 9*v*z**2 + 2*x*z - 2 wrt l?
-4*v*x - 78*x*z**2
Differentiate 3*p**4 + 120*p + 7487 with respect to p.
12*p**3 + 120
What is the second derivative of -471*c**2*t**3 + 116*c*t**2 + t**3 wrt c?
-942*t**3
Find the first derivative of -4711*c**3*n + 2*c**3 + 13*c - 49 wrt n.
-4711*c**3
What is the derivative of j**3 + 1548*j**2 + 2*j - 15303 wrt j?
3*j**2 + 3096*j + 2
What is the derivative of 111*g**2 + 890?
222*g
Find the third derivative of g**6 - 4*g**3 + 2*g**2 - 79.
120*g**3 - 24
What is the third derivative of -431*h**4 - h**3 + 3131*h**2 wrt h?
-10344*h - 6
Find the third derivative of q**6 + 2*q**4 - 18*q**3 - 13*q**2 - 4*q - 8 wrt q.
120*q**3 + 48*q - 108
Find the third derivative of 4361*q**3 + 1646*q**2.
26166
What is the derivative of 944*m**2*u**3 + m**2*u + 39*u**3 - 26*u**2 + 2 wrt m?
1888*m*u**3 + 2*m*u
What is the third derivative of 10*t**5 - 11*t**4 + 132*t**2 - 2*t?
600*t**2 - 264*t
What is the third derivative of 4*j**3*y**2 - 8*j**2*y**2 + 6*j*y**2 - j wrt j?
24*y**2
What is the second derivative of -146*o**2 - 257*o wrt o?
-292
Find the first derivative of -203*d**3*r - 3*d**2*r + d + 2*r - 786 wrt d.
-609*d**2*r - 6*d*r + 1
What is the second derivative of -704*p**5 - 1087*p wrt p?
-14080*p**3
Find the second derivative of -11*a**2*m*o*x - 428*a**2*m*o + 2*a**2*m*x**3 + 47*a*m*o - a*m*x**2 - 2*a*x**3 + 3*m*x**3 wrt a.
-22*m*o*x - 856*m*o + 4*m*x**3
What is the third derivative of 150*q**3 - 13*q**2 - 12*q?
900
Differentiate 13975*x**2 + 13284 wrt x.
27950*x
What is the derivative of 3*h*j**4 + 6*h*j - 146*h - 2*j**4 - 2 wrt j?
12*h*j**3 + 6*h - 8*j**3
What is the third derivative of -5*g**3*z + 6*g**3 + 9*g**2*z - g**2 + 4*g wrt g?
-30*z + 36
Differentiate h**3*x**2 - 3*h**3 + 47*h**2*x**3 - 203 with respect to x.
2*h**3*x + 141*h**2*x**2
What is the third derivative of -15*b*d**2*o**2 + b*d*o**2 - 11*b*o**3 - b*o + d**2*o**3 wrt o?
-66*b + 6*d**2
What is the first derivative of -11*v**2 - 51 wrt v?
-22*v
Differentiate 64*h*m**3 + 2*h*m*r**2 + 44*m**3 + m*r**2 wrt h.
64*m**3 + 2*m*r**2
Differentiate 60*k + 514 with respect to k.
60
Find the first derivative of 1872*i**2 + 17180.
3744*i
What is the second derivative of -2144*b**4 + 4*b - 103?
-25728*b**2
Find the first derivative of 18*a**3 + 8*a**2 - 6*a - 5067.
54*a**2 + 16*a - 6
Find the first derivative of -417*o + 1509.
-417
What is the second derivative of 222*m**3 - m**2 - 228*m + 1 wrt m?
1332*m - 2
What is the second derivative of -383*w**2 - 91*w + 3 wrt w?
-766
Find the third derivative of -3*a**3*s**2*z - 18*a**3*s*z**2 + 31*a**2*s*z - 2*a*s**2 + 3*z**2 wrt a.
-18*s**2*z - 108*s*z**2
What is the first derivative of 1874*f**2 - 3594?
3748*f
What is the third derivative of -29*h**4 - 15*h**3 - 990*h**2 wrt h?
-696*h - 90
What is the derivative of 26*c**2*i**3 - c**2*i - 4*i**3 + 67*i wrt c?
52*c*i**3 - 2*c*i
What is the second derivative of -532*b**3 + 3*b**2 + 3071*b + 2?
-3192*b + 6
Find the first derivative of -5*s*t**3*w - 246*s*w + s - 2*t**3 - 2*t**2*w + 32*t**2 + 13*t wrt s.
-5*t**3*w - 246*w + 1
Find the third derivative of -2*b**3*g**2*n**3 + 736*b**3*g**2 + 2*b**2*g**2*n + 13*b*g**2*n - g*n**3 wrt b.
-12*g**2*n**3 + 4416*g**2
Find the second derivative of 966*d*k**2 - 6*d*k - 38*d + 3*k wrt k.
1932*d
Differentiate 5*g**3*w - 121*g**3 + 6*g*w with respect to w.
5*g**3 + 6*g
Find the third derivative of -1491*k**6 - 2*k**2 - 577*k wrt k.
-178920*k**3
What is the third derivative of 13*g**5 + 18*g**4 - g**3 + 3*g**2 - 454 wrt g?
780*g**2 + 432*g - 6
Find the first derivative of 2*g**2*v - 42*g**2 - 13*g*v**2 - 14*g + 147*v + 1 wrt v.
2*g**2 - 26*g*v + 147
Differentiate 7001*f**2 + 6297.
14002*f
What is the second derivative of -796*x**3 - 3*x**2 + 2*x + 491?
-4776*x - 6
Find the second derivative of 4*n**2*x**3 - 2*n**2*x**2 - 7*n**2*x + 14*n**2 - 2*x**5 wrt x.
24*n**2*x - 4*n**2 - 40*x**3
Differentiate 2*a**2*n**2 - 2*a*n**2 + 9*a*n*y - 93*a - n**2*y - 50*n**2 + 4*n*y + 2 with respect to a.
4*a*n**2 - 2*n**2 + 9*n*y - 93
What is the second derivative of -267*h**2*u**2 - h**2 - 120*h*u**2 - h*u wrt h?
-534*u**2 - 2
Find the third derivative of 44*b**5 + 8*b**4 + 341*b**2 wrt b.
2640*b**2 + 192*b
Differentiate 154*d**3 - 11*d**2*w**2 + d - 364*w**2 - 6 wrt d.
462*d**2 - 22*d*w**2 + 1
What is the second derivative of 23*a**2*i**3*o**2 + 2*a**2*o**3 - a**2*o + a*o**3 + 2*a*o**2 + 29*i**3*o**3 + i**3*o - 2*i wrt a?
46*i**3*o**2 + 4*o**3 - 2*o
Find the second derivative of -108*a**3 - 9*a**2 + 2345*a.
-648*a - 18
Find the second derivative of 17*i*k**4 - 136*i + 37*k**5 + 2* | {
"pile_set_name": "DM Mathematics"
} |
ive of m**8/48 - m**5/3 - 4*m**3 - 10. Let u(i) be the third derivative of k(i). What is the second derivative of u(h) wrt h?
420*h**2
What is the first derivative of -34*p**3 - 13 + 12*p**3 - 6*p**3 + 76 wrt p?
-84*p**2
Let o(v) be the third derivative of -809*v**5/60 - 53*v**4/24 + v**3/3 - 213*v**2. Find the second derivative of o(q) wrt q.
-1618
Find the third derivative of 81*f**3 + 2618*f**2 - 1367*f**2 - 1332*f**2 wrt f.
486
Suppose -3*g + 10 = 2*g. Find the third derivative of 9*m**2 - 11*m**5 + 5*m**5 - 13*m**g wrt m.
-360*m**2
Let b(p) = -p - 5. Let t = -9 - -9. Suppose -u = -t*u - 3. Let o(h) = 5. Let v(k) = u*b(k) + 2*o(k). Differentiate v(x) wrt x.
-3
Let u(z) = -190*z**2 + 8*z - 248. Let y(t) = -2*t**2 - t + 2. Let x(m) = u(m) + 8*y(m). Differentiate x(n) with respect to n.
-412*n
What is the first derivative of -38*c + 83*c + 107 - 722*c wrt c?
-677
Let i(k) be the second derivative of -7*k**5/60 - 17*k**3/6 + 9*k**2 - 15*k. Let q(z) be the first derivative of i(z). Differentiate q(f) with respect to f.
-14*f
Let u(w) be the first derivative of -6*w**2 + 345*w + 377. What is the derivative of u(h) wrt h?
-12
Let y be -3 + (0 - -5) - 2. Suppose y = 2*i - 11 - 1. What is the third derivative of -3*n**6 + 2*n**2 + 3*n**2 + i*n**6 - 2*n**2 wrt n?
360*n**3
Let t(g) = -g**2 - 1. Let h(b) = -7*b**4 + 14*b**2 + 68. Let m(p) = h(p) - 5*t(p). Find the first derivative of m(r) wrt r.
-28*r**3 + 38*r
Let y(v) be the third derivative of 0 + 2*v**2 + 0*v + 0*v**4 + 5/6*v**3 + 11/60*v**5. What is the derivative of y(k) wrt k?
22*k
Let z(a) be the second derivative of 4 + 0*a**2 + 7/3*a**3 + 3/2*a**4 + 2*a. Find the second derivative of z(g) wrt g.
36
What is the third derivative of 80*k**6 + 67*k**6 + 15*k**6 - 56*k**2 wrt k?
19440*k**3
Let p(s) be the first derivative of s**7/42 - 5*s**3/6 - 7*s**2 - 20. Let n(c) be the second derivative of p(c). Find the first derivative of n(i) wrt i.
20*i**3
Let u(s) be the first derivative of 0*s**2 + 10*s + 0*s**3 - 28/5*s**5 + 0*s**4 + 25. What is the derivative of u(z) wrt z?
-112*z**3
Let i(d) = 18*d**4 - 55. Let a(h) = 90*h**4 - 275. Let u(k) = 2*a(k) - 11*i(k). Differentiate u(o) wrt o.
-72*o**3
Let c = -8 + 28. Suppose -2*d - 3*l = 1, 3*d - 2*l = -2 + c. What is the third derivative of -d*x**5 + 3*x**2 - 3*x**2 - 7*x**2 wrt x?
-240*x**2
Find the second derivative of 3*n - 5 - 4*n**2 + 3 + n**2 + 6*n wrt n.
-6
Let w(a) be the third derivative of -11*a**7/2520 + a**6/720 - 3*a**5/20 + 17*a**2. Let p(r) be the third derivative of w(r). Differentiate p(b) wrt b.
-22
Let t(w) = 4*w**3 + 3. Let y(z) = -z**3 - 1. Let d(c) = 2*t(c) + 6*y(c). Let i be d(1). Find the third derivative of s**2 + 0*s**i + 6*s**2 - 2*s**3 wrt s.
-12
Find the second derivative of -277*t**2 - 207*t - 10 - 109*t**2 + 11 - 2 wrt t.
-772
Let x = -466 - -472. Let y(o) be the second derivative of 0 + 0*o**4 - 2/3*o**3 - 1/5*o**x + 0*o**5 - o + 0*o**2. What is the second derivative of y(i) wrt i?
-72*i**2
Let b(c) = 487*c**2 + 6*c - 217. Let j(w) = -60874*w**2 - 748*w + 27126. Let p(s) = -748*b(s) - 6*j(s). Find the first derivative of p(m) wrt m.
1936*m
Let n be (5/25*-6)/(4/(-10)). What is the second derivative of -2*b**4 + 4*b**4 + 5*b**4 + n*b wrt b?
84*b**2
Let w(u) = -u**2 - u. Let h be 1 + 8/(2 + -6). Let d be w(h). Find the second derivative of -9*r - 12*r**3 + r + d*r wrt r.
-72*r
Let s(u) be the first derivative of -u + 4 + 1/6*u**3 - 2*u**2. Let k(d) be the first derivative of s(d). Differentiate k(n) with respect to n.
1
Let r = 13 + -24. Let g = r + 17. Find the first derivative of 7*j - 4*j - 7 + g*j - 3*j wrt j.
6
Let t(m) be the third derivative of 2*m**9/63 - 8*m**5/5 - 62*m**2. What is the third derivative of t(o) wrt o?
1920*o**3
Let h = 11 - -14. What is the third derivative of -2*r**4 + 10*r**2 + 4*r**4 - h*r**4 wrt r?
-552*r
Let s(y) be the third derivative of 7*y**6/40 - 17*y**5/15 - y**3/3 + 80*y**2. What is the third derivative of s(w) wrt w?
126
Let y(w) = 51*w**3 - 6*w + 59. Let b(o) = 154*o**3 - 17*o + 178. Let k(z) = 6*b(z) - 17*y(z). Differentiate k(c) with respect to c.
171*c**2
Let u(l) be the second derivative of -l**6/2 - 13*l**3/6 + 251*l**2/2 - 20*l - 12. Differentiate u(z) with respect to z.
-60*z**3 - 13
Let o(i) be the first derivative of 706*i**3/3 - 25*i - 632. What is the derivative of o(p) wrt p?
1412*p
Let t(p) be the third derivative of p**6/24 + 50*p**3/3 - p**2 + 31*p. What is the first derivative of t(x) wrt x?
15*x**2
Let s(h) = 3*h**2 + 2*h + 2. Let p be s(-1). Differentiate -3 + 0*v**4 + 66*v**p - 6*v**4 - 66*v**3 with respect to v.
-24*v**3
Suppose 12 = -14*u + 18*u. Find the third derivative of -26*x**4 - 7*x**u + 20*x**3 - 13*x**3 + 25*x**2 wrt x.
-624*x
Suppose -13 - 7 = 4*w. Let o(i) = -10*i**4 - 44*i. Let p(x) = -7*x**4 - 29*x. Let z(c) = w*o(c) + 7*p(c). Find the second derivative of z(d) wrt d.
12*d**2
What is the third derivative of -2*v**2 + 73*v**6 + 18*v**2 - 13*v**2 wrt v?
8760*v**3
Let r(v) = 5*v - 29. Let b(p) = p - 12. Let q be b(9). Let f(k) = 4*k - 28. Let i(z) = q*f(z) + 2*r(z). Find the first derivative of i(u) wrt u.
-2
Let p(u) be the first derivative of -13*u**3/3 - 2*u**2 - 17*u + 31. Find the first derivative of p(y) wrt y.
-26*y - 4
Let t(f) = 63*f**2 + 172*f - 12. Let y(g) = -62*g**2 - 171*g + 10. Let u(z) = -5*t(z) - 6*y(z). Find the second derivative of u(r) wrt r.
114
Let y(d) be the third derivative of -2*d**7/15 - d**6/40 + 13*d**5/15 - d**4/24 - 133*d**2 - d. What is the third derivative of y(u) wrt u?
-672*u - 18
Let r(z) be the first derivative of -13*z**3 + 18*z - 25. What is the derivative of r(u) wrt u?
-78*u
Find the third derivative of 11*j**2 + 12*j**2 - 2*j**6 + 4*j**4 - 3*j - 28*j**4 + 3*j**6 wrt j.
120*j**3 - 576*j
Suppose 3*f - 48 = -f. Suppose -p - f = -3*v + p, -4*p - 16 = -4*v. Find the third derivative of -7*t**2 + 5*t**v + 77*t - 77*t wrt t.
120*t
Let p(t) be the second derivative of 4*t**5/5 + 5*t**4/12 - 10*t**2 - 62*t. Find the first derivative of p(a) wrt a.
48*a**2 + 10*a
Let u(o) be the third derivative of 26*o**9/63 - o**5/30 - 19*o**3/3 - 3*o**2 + 4. What is the third derivative of u(i) wrt i?
24960*i**3
Let a(q) = -q**3 + 6*q**2 + 9*q + 9. Let i be a(7). Find the second derivative of i*v - 4*v**4 + 6*v**4 + 0*v**4 - 4*v wrt v.
24*v**2
Suppose -10 = -5*z, -3*r + 2*z = -6*r + 13. Differentiate -r - 1 + 0 + 12*h - 39*h with respect to h.
-27
Let w(s) be the first derivative of 84*s**2 + 91*s**2 - 26*s + 3 - 184*s**2. What is the derivative of w(n) wrt n?
-18
Let k(p) be the second derivative of 179*p**6/15 + 43*p**3/3 - 736*p. What is the second derivative of k(s) wrt s?
4296*s**2
Let f(h) be the second derivative of -115*h**4/12 + 4*h**2 - 39*h - 1. What is the first derivative of f(k) wrt k?
-230*k
Suppose 5*y - 2*r = 25, 0 = -4*y + 2*r + 11 + 11. Find the second derivative of -2*k**4 + 21*k - 4*k**y + 4*k**3 - 34*k wrt k.
-24*k**2
Let k(r) be the first derivative of -9*r**6/2 - 3*r**4/4 + 169*r**3/3 - 143. Find the third derivative of k(i) wrt i.
-1620*i**2 - 18
Let u = 82 - 79. Find the second derivative of -10*n**4 - n**2 - 9*n + 563*n**3 - 563*n**u wrt n.
-120*n**2 - 2
What is the second derivative of 7*p**5 - 61*p**3 + 120*p**3 - 61*p**3 - 84*p wrt p?
140*p**3 - 12*p
Let k(j) be the first derivative of 23*j**7/7 + 7*j**6/6 - 242*j**3/3 + 176. What is the third derivative of k(z) wrt z?
2760*z**3 + 420*z**2
What is the third derivative of -6*t**5 + 23989 - 648*t**2 - 4*t**4 - 23989 - 2*t**5 wrt t?
-480*t**2 - 96*t
Let p(q) be the first derivative of 523*q**4/4 + 242*q - 179. Differentiate p(z) wrt z.
1569*z**2
What is the second derivative of 2219*z**2 - 1146*z**2 - 1309*z**2 + 259*z wrt z?
-472
Suppose 0 = 4*z - z + 2*u - 46, -6 = -3*u. Let l be (-18)/12 + z/4. Find the first derivative of 0*h + 2 - 7*h + l*h - 4 wrt h.
-5
Let k(s) be the second derivative of 97*s**3/6 - 41*s**2/2 - 19*s - 1. What is the derivative of k(m) wrt m?
97
Find the first derivative of 39*r**4 + 339 + 6*r**4 - 11*r**4 wrt r.
136*r**3
Suppose -1 = 3*c - 7. Find the third derivative of -21*x**6 + 6*x**c + x**2 - 17*x**2 wrt x.
-2520*x**3
Let o be (0 - 4/4)/(2/(-50)). What is the second derivative of -v + 20 - 20 + 28*v**4 - o*v wrt v?
336*v**2
Le | {
"pile_set_name": "DM Mathematics"
} |
) = c - 2. Let b be w(4). Let n = 4 - b. Calculate the highest common factor of 4 and n.
2
Let d(y) = 4*y**2 + 5*y - 2. Let k be d(-4). What is the greatest common divisor of 28 and k?
14
Let b(k) = k - 11. Let w be b(0). Let z(m) = m + 15. Let u be z(w). What is the greatest common divisor of u and 10?
2
Suppose 5*o = -0*o + 560. Suppose -2*c = -5*c + 108. Suppose -t = 3*s - c - 10, 5*s = 5*t + 50. What is the greatest common factor of o and s?
14
Suppose -2*u + 32 = -140. Suppose 4*y + 10 - u = 0. What is the highest common divisor of y and 133?
19
Let w = 14 + -10. Let v be (8/6)/(w/30). Suppose m + 1 = 4*f, -4*m + 8 = 4*f - 8. Calculate the highest common factor of v and f.
1
Suppose k = -4*k + 25. Let a = 8 - k. Suppose 3 = -5*i - 2*j + 46, a*i + 5*j - 22 = 0. What is the greatest common divisor of i and 99?
9
Let n = 6 + -1. Suppose -i = -10*h + 5*h + 25, -n*i - 17 = 2*h. Calculate the greatest common divisor of h and 28.
4
Suppose -3*o + 6*o = 3. What is the greatest common divisor of 7 and o?
1
Suppose -3*p + a + 87 = 4*a, -4*a + 35 = p. Let r = 6 + p. Calculate the greatest common factor of 11 and r.
11
Let n(d) = d**2 - 2. Suppose 0 = f + 2 - 0. Let o be n(f). Suppose 3*g - i + 2 = 0, 2*i - 27 = -o*g - 3*i. What is the greatest common factor of g and 8?
1
Suppose -2*m + 2*h + 246 = 0, 4*m - h - 2*h = 489. Let s = -41 + 71. Let o = -15 + s. What is the greatest common divisor of m and o?
15
Let l = 30 + -14. What is the greatest common factor of l and 2?
2
Suppose -s = s - 4*z - 102, -5*z = 5*s - 210. Let t = 18 - 13. What is the highest common divisor of s and t?
5
Suppose t + 2*t = 0, 8 = 4*a - 2*t. What is the greatest common factor of 14 and a?
2
Let t be (-120)/(-35) + 6/(-14). Suppose -t + 2 = -o. What is the greatest common divisor of 7 and o?
1
Let t = 15 + -12. What is the greatest common divisor of t and 12?
3
Let d be (88/20)/(8/20). What is the greatest common factor of d and 33?
11
Let f = -25 + 55. Calculate the greatest common divisor of 10 and f.
10
Suppose -4*f - 34 = -4*r + 110, -3*r + 108 = 4*f. Suppose -a - 2 = -4*b, 2*b + 5 = a - 3. What is the highest common factor of a and r?
18
Let c = -15 - -29. What is the highest common divisor of 28 and c?
14
Let u = -6 - -15. Let o = 13 - 5. Let d be 2/8 - (-70)/o. Calculate the highest common divisor of u and d.
9
Suppose -4*p - 4*b = -312, -3*b = -3*p + 5*p - 153. Calculate the highest common factor of 9 and p.
9
Let b(g) = 4*g + 2. Let m(i) = i - 1. Let u(k) = -b(k) - 5*m(k). Let x be u(-9). Suppose -4*a - 12 = -x. Calculate the highest common factor of a and 72.
18
Suppose a = g + 2 - 0, g = 5*a - 22. Let z = g - -1. Suppose z*n + n = 40. What is the highest common factor of n and 24?
8
Suppose -6 = -2*j + j. Let n be (40/8 - -2)*(-6)/(-1). Calculate the greatest common divisor of n and j.
6
Suppose 5*h - 150 = 2*h. Suppose s = -4*s + h. Let i be (3 - 0) + (-2)/(-2). Calculate the greatest common divisor of s and i.
2
Suppose 5*s - 16 = s. Let u = -20 - -24. What is the greatest common factor of s and u?
4
Let r(k) = -k**3 + 7*k**2 - 2*k + 7. Let z be r(7). Let n = -11 + 7. Let b = n - z. What is the highest common divisor of 21 and b?
3
Let a = 27 - 20. What is the greatest common factor of 21 and a?
7
Let l be 11*3/1 + -1. Let u be 20/6*(-3)/(-2). Suppose 3*j + 0*a = u*a + 129, 39 = j - 3*a. Calculate the greatest common divisor of l and j.
16
Let q = -8 + 20. What is the highest common factor of 36 and q?
12
Let c = -39 + 41. What is the highest common factor of 16 and c?
2
Let b = -47 - -101. Suppose b = 4*r - 5*d, -3*r + 0*d - 3*d = -27. Calculate the greatest common factor of r and 121.
11
Suppose -3*a - v = -169, 5*a + 0*v + 5*v - 275 = 0. Suppose 7 = -5*l + a. Calculate the highest common factor of l and 50.
10
Let c(q) = 5*q**3 + 2*q + 1. Let j be c(-1). Let v = -4 - j. Suppose -v*r = r - 72. What is the highest common divisor of r and 3?
3
Suppose 4*l - 10 = 5*c, 0 = -5*l + 3*c - 6 + 25. Suppose -5*v - 20 = 0, y - 14 = l*v - 3*v. Calculate the greatest common divisor of 4 and y.
2
Suppose -58*j = -56*j - 36. Suppose 5*b - 25 = 20. Calculate the greatest common divisor of b and j.
9
Let n(x) be the second derivative of x**3/3 - x**2/2 - x. Let j be n(5). Let i(g) = -g + 9. Let u be i(6). Calculate the highest common factor of u and j.
3
Let z(q) = q**2 - 15*q + 9. Let k(x) = 2*x**2 - 15*x + 9. Let p(a) = -2*k(a) + 3*z(a). Let t be p(-8). What is the highest common divisor of 26 and t?
13
Suppose 5*x - s = 576, 9*x - 572 = 4*x - 3*s. Calculate the greatest common divisor of 23 and x.
23
Let h = -42 + 92. Calculate the highest common factor of h and 10.
10
Suppose -c + 28 = -49. Let p(j) = -j - 1. Let v be p(-8). What is the highest common factor of v and c?
7
Let a(o) be the second derivative of -o**4/12 + 2*o**3/3 + 7*o**2/2 + 4*o. Let n be a(5). What is the greatest common divisor of n and 2?
2
Let r = 175 - 135. What is the greatest common factor of 5 and r?
5
Suppose 3*i + 0*i + 45 = 0. Let a be (35/15)/((-1)/i). Calculate the greatest common factor of 5 and a.
5
Let u be 2/(-2)*(-4 + 1). Suppose 4*v = u*v + 4. Suppose -b + v*r - 8 + 5 = 0, 4*b - 24 = 4*r. What is the greatest common divisor of 6 and b?
3
Let x be (4/(-3) - -2)/(16/24). Calculate the greatest common divisor of 2 and x.
1
Let h(k) = -12*k + 4. Let q be h(-3). Let w(i) = i**2 + i - 4. Suppose 5*l = -7 + 22. Let b be w(l). What is the greatest common divisor of q and b?
8
Suppose 0 = -3*q - 2*q + 25. Suppose 3*r + 0 = 3*v - 3, 29 = 5*v + r. What is the greatest common factor of q and v?
5
Let l(y) = 19*y + 4. Let d be l(2). Calculate the greatest common factor of 21 and d.
21
Let n(d) = 2*d**2 + 1 - 3*d**2 - 11*d**3 + 0*d**2. Let g be n(-1). Calculate the greatest common divisor of g and 88.
11
Let n be (-3)/6 + 20/8. Suppose 0*o + n*o = 48. Suppose 3*f + o = 5*f. Calculate the highest common factor of 60 and f.
12
Let n be -1 - (-24)/1 - (3 + 1). Calculate the greatest common divisor of n and 57.
19
Let f(m) = -3*m - 6. Let r be f(-3). What is the highest common factor of r and 21?
3
Suppose -207 = -3*v + 2*i - 4*i, -2*v - 2*i + 136 = 0. Let l = -43 + v. Calculate the highest common factor of 14 and l.
14
Suppose -9*r + 137 = -34. What is the greatest common factor of 171 and r?
19
Suppose z - 58 = -z - y, -3*y = 4*z - 116. What is the highest common divisor of z and 145?
29
Let b be 384/(-28) - 2/7. Let r = b - -17. What is the greatest common divisor of r and 27?
3
Suppose -f + 10 + 50 = 0. Suppose 0 = -2*g, f = 2*v + g - 84. What is the highest common divisor of 8 and v?
8
Let j(o) = -o**3 + 4*o**2 + 2*o - 3. Let m be j(3). Let v = 175 + -67. Calculate the greatest common divisor of m and v.
12
Let q(c) = 5*c**2 + 3*c. Let x be q(-8). What is the highest common factor of 37 and x?
37
Suppose 2*f = 4*f - 12. What is the highest common factor of f and 3?
3
Suppose 6 = 3*k - 12. Suppose -10*h + k*h + 320 = 0. What is the highest common factor of h and 10?
10
Let g = 9 - 7. Suppose 0 = 5*b - 0*b - 3*h - 5, -4*h + g = 2*b. Calculate the greatest common divisor of b and 4.
1
Let f(z) = 27*z - 6. Let p be f(2). What is the highest common factor of 32 and p?
16
Suppose 14 = n + 3*i - 6, -3*n = 3*i - 30. Suppose 0 = 2*f + n*f - 56. Calculate the highest common divisor of 8 and f.
8
Suppose 5*b - 4 = 6. Suppose -n + 6 = b*j, -j + 15 = n - 2*j. Let r = 20 - n. What is the highest common factor of r and 20?
4
Let o be (-1)/(-4) + 110/8. Calculate the highest common divisor of o and 77.
7
Let g be (-143)/(-5) + -2 - (-30)/(-50). Suppose 1 = -4*k - 11, 3*q = 4*k + 51. Calculate the highest common divisor of q and g.
13
Let m be 2/(-3)*3 + 17. Suppose 2*j - m - 5 = 0. Suppose 4*i - i + k - 49 = 0, j = -2*k. Calculate the highest common divisor of i and 18.
18
Let c be 0/(-2)*7/7. Suppose 3*r + 27 = -c. Let l = 2 - r. What is the greatest common divisor of 11 and l?
11
Let k = 84 - 59. What is the highest common factor of k and 200?
25
Suppose -3*i + 7*i = -5*c + 93, -c - 5*i = -27. Let g(p) = 9*p**2 - 2*p + 1. Let q be g(-4). Calculate the greatest common divisor of c and q.
17
Suppose 8*q - 233 = 71. What is the greatest common divisor of 418 and q?
38
Let y = -10 - -12. Let v = y - -2. What is the | {
"pile_set_name": "DM Mathematics"
} |
Let k be v(y). What is the units digit of (-3)/(-2) - (-3)/k?
2
Let q = 7 + -9. Let a(b) = -b**2 - 3*b + 4. Let k be a(-4). Let z = k - q. What is the units digit of z?
2
Let a(x) = 184*x + 7. What is the units digit of a(1)?
1
Let v(k) = -k**2 - k + 68. What is the units digit of v(0)?
8
Suppose -56 + 136 = 5*g. What is the units digit of g?
6
Suppose -4*p - 10 = -110. Suppose 5*r - p = 15. What is the units digit of r?
8
Suppose -658 = 12*r - 3406. What is the hundreds digit of r?
2
Let z be 4/(-14) - 16/(-7). Suppose -20 = -3*w - 2*l, -w + l + 6 = z*l. Suppose -k + 5*k = w. What is the units digit of k?
2
Let n = 1 - 1. Let q be n*(1 - 3)/(-4). Suppose z - 2*z + 13 = q. What is the units digit of z?
3
Suppose 15*d - 345 = 12*d. What is the tens digit of d?
1
Let i(c) = 4*c - 8. Let u = -22 + 31. What is the units digit of i(u)?
8
Suppose 4*m + 12 = 4*c, -17 + 2 = -c + 4*m. Suppose 35 = 5*q - 0*q. Let z = q + c. What is the units digit of z?
6
Let c = 30 - 29. What is the units digit of c?
1
Let x = 18 - 1. Let l = x - -8. What is the units digit of l?
5
Let v(i) = i**3 + 6*i**2 + 2. Let b(d) = d - 15. Let q be b(9). What is the units digit of v(q)?
2
Suppose 0*w + 7 = w. Suppose -2*b + 96 = 5*g, w*b = 3*g + 2*b - 70. Suppose -3*d - s + 2*s = -15, 0 = 4*d - 5*s - g. What is the units digit of d?
5
Suppose -2*z + 36 = 4*m, 9 = 4*z - 7. Suppose -3*b + m = 4*j, 2*b = j + 3*b - 2. Suppose -j = -4*y + 7. What is the units digit of y?
2
Let f = 0 - -3. Suppose -d - 68 = 4*a, f*d + 4 = -a - 2. Let t = 32 + a. What is the tens digit of t?
1
Let c = 100 + -98. What is the units digit of c?
2
Let m = 9 - 7. Suppose -m*w + 4 = -88. What is the tens digit of w?
4
Suppose 0 = -g - g - 2*o, 0 = 4*o - 8. Let d be g/(-1) - (1 + -3). Suppose 40 = 5*l + 5*b, -d*b = 3 - 7. What is the units digit of l?
7
Suppose -3*y + 5*j = 12, -3 = -5*j + 4*j. Let v be (-7)/(-9) + 6/27. Let k = y + v. What is the units digit of k?
2
Let a be -3 + 3*(3 - 8). What is the units digit of (a/15)/((-3)/40)?
6
Let p(j) = -3 + 2 - 1 + 2*j**2. Let a(u) = 3*u**3 - 2*u**2 + 1. Let o be a(1). What is the units digit of p(o)?
6
Suppose -l - 4*n - n - 12 = 0, 2*l + 4*n = -6. What is the units digit of l?
3
Let b(o) be the first derivative of -o**4/4 - 7*o**3/3 + 2*o**2 - 2*o - 9. What is the tens digit of b(-8)?
3
Suppose 0 = -7*z + 2*z + 15. Suppose -6*q + 4*q - 22 = -4*t, -z*t = 4*q - 11. Suppose -t*x = -34 + 14. What is the units digit of x?
4
Let w = -30 + 75. Suppose 5*z = 210 - w. What is the units digit of z?
3
Let w(r) = 2*r - 4. What is the units digit of w(4)?
4
Suppose -4*l - 4*n + 140 = -56, 144 = 3*l + 4*n. Suppose -5*z + 7*z = l. What is the units digit of z?
6
Let l(k) = k**3 + 4*k**2 + 2*k. Suppose g = 4*o + 16, 0*o - 3*o - 17 = -2*g. Let r be l(o). Suppose -r*t = 2*t - 10. What is the units digit of t?
2
Let a(p) be the second derivative of p**5/20 - p**4/6 - p**3/3 + 2*p**2 + 4*p. What is the units digit of a(3)?
7
Let n be -2*(-4)/(24/45). Suppose 0*s + 5*s - n = 0. Suppose s*r - 21 = -0. What is the units digit of r?
7
Suppose m - 110 = -0*m. Suppose 6*c - c - m = 0. Suppose c = h + h. What is the units digit of h?
1
Let m(x) = x**3 - 4*x**2 + 2*x. Let g be m(5). Let t = 64 + -41. Let p = g - t. What is the tens digit of p?
1
Suppose 0 = 3*l - 3*h - 3, 0 = 4*l + h + h - 22. What is the units digit of l?
4
Suppose -4*w = -5*n - 2*w + 157, -n + 13 = -5*w. What is the tens digit of n?
3
Suppose -4*z - 19 = l + z, -5*l + 4*z - 37 = 0. Suppose -2*k - 27 = -63. Let j = l + k. What is the units digit of j?
9
What is the tens digit of 13*(0 - (2 + -6 + -3))?
9
Let u(a) = 16*a - 1. What is the units digit of u(1)?
5
Let h(u) = -u. Let j be h(-2). What is the units digit of j*2 - (7 - 8)?
5
Let t = -35 + 63. Suppose -4*w = -6 - 2. Suppose w*d = 6*d - t. What is the units digit of d?
7
Let g be -6 + (1 + -2 - -1). Let u = 76 + -120. What is the units digit of u/g - (-3)/(-9)?
7
Suppose 0 = -o + 3, 2*f - 36 = -2*f + 4*o. Suppose 62 = 2*s - f. What is the units digit of s?
7
Suppose 27*o - 28*o + 123 = 0. What is the units digit of o?
3
What is the tens digit of 4/((-8)/1)*-46?
2
Let y(c) = -c**2 - c + 6. Let z be y(0). Suppose 3*r - 15 = z*r. Let l = r - -18. What is the units digit of l?
3
Suppose -9 = -2*z - z. Suppose -f = z*f + 2*i - 80, f - 5*i = 42. What is the tens digit of f?
2
Let w = 17 - 10. Suppose -w = -3*u + 14. What is the units digit of (-2)/((6/u)/(-3))?
7
Suppose 0 = 5*k - r - 121, -4*r + 0*r = -3*k + 76. What is the units digit of k?
4
Suppose 3*t - 5*b - 4 - 15 = 0, -2*t = -4*b - 14. Let w be 1 - 1/t*3. Let k = 4 - w. What is the units digit of k?
4
What is the units digit of (-9 - -7)*96/(-2)?
6
Let n(i) be the second derivative of i**4/12 + 5*i**3/3 + 7*i**2/2 + i. What is the units digit of n(-11)?
8
Suppose -3*c - 2*c - 2*u = -22, -3*u - 9 = -3*c. What is the units digit of 14/c - (-2)/(-4)?
3
Suppose 0 = 16*s - 15*s - 118. What is the units digit of s?
8
Suppose -9 = -4*v + 3. Suppose 36 = 4*d - 4*z, 2*z = v*z + 4. What is the units digit of 3*(d + 3 + -6)?
6
Let k be 1/(((-9)/(-1956))/(-3)). What is the units digit of k/(-20) - (-4)/10?
3
Suppose -2*u - 77 = -5*l, 2*u + 1 + 8 = l. What is the units digit of l?
7
Let f(v) = v - 3. Let w be f(0). Let i = w + 5. Suppose -5*j - i = -7. What is the units digit of j?
1
Suppose -2 = 3*b + 1. What is the tens digit of (-1 - -25) + 0 + b?
2
Suppose -5*d = -3*f - 30, -f + 7 = 3*d + d. Suppose 0 = a + d*a + 5*p - 36, 0 = -4*a + p + 60. Suppose -3*v + 25 = -a. What is the tens digit of v?
1
Let f = -8 + 11. Let d = 0 - f. What is the units digit of d/(3/(-1)) - -2?
3
Let h(d) = 47*d**2 + 4*d - 4. What is the units digit of h(2)?
2
Let j = 292 + -188. What is the units digit of j?
4
Let p = 6 + -4. Suppose 0 = -0*s - s + d + 3, -s + 5*d = -3. Suppose -t = -4*k + 15, p*k + s - 6 = -t. What is the units digit of k?
3
Let o(a) = -4*a + 7. What is the tens digit of o(-8)?
3
Let x(s) = -s**2 + 5*s + 1. Let k be x(5). What is the units digit of ((-15)/k)/(3/(-2))?
0
Let g = 3 - -3. What is the units digit of g?
6
Let x = -9 + 13. Suppose 0 = -x*r + 22 + 14. What is the units digit of r?
9
Let n = 0 - 4. Let s = -2 + 1. Let d = s - n. What is the units digit of d?
3
Let k = 67 + 2. What is the units digit of k?
9
Let o = -119 + 57. Let c = -36 - o. What is the tens digit of c?
2
Suppose 0 = n - 6*n. Suppose n = -4*r - 7 + 135. What is the units digit of r?
2
Let t = 41 - 12. Suppose -5*o + t = -41. What is the units digit of o?
4
Let u(i) = -i**3 + 2*i**2 + 7*i + 4. Let s be u(4). Suppose s = b + 3*b - 8. What is the units digit of b?
2
Suppose 2*r + 24 = r. Let u be ((-30)/8)/((-9)/r). Let j = 19 + u. What is the units digit of j?
9
Let q = -13 - -6. Let l(v) = v**2 + v + 9. Let h(a) = -a**2 - 2*a - 10. Let d(t) = q*l(t) - 6*h(t). What is the units digit of d(4)?
1
Let q(a) = 17*a**2 - a + 1. What is the tens digit of q(2)?
6
Suppose 2*k - k = 38. What is the units digit of k?
8
Suppose 0*k + k = 15. Let s = k + -9. Suppose 0 = -l + s*l - 90. What is the units digit of l?
8
Suppose -4*d - 3*z + 35 = -0*z, 0 = -4*d + 4*z. Suppose -7 = -3*a + d*i, 0 = 2*a - 2*i - 3 + 5. Let t(n) = -2*n - 4. What is the units digit of t(a)?
8
Let w = -3 - -4. Suppose -2*k - 31 - w = 0. What is the units digit of (18/(-4))/(12/k)?
6
Suppose 4*z - 5*b + 0*b = 329, 407 = 5*z - 2*b. What is the units digit of z?
1
Let q = 10 - 6. Suppose 3*s + 0*n - n - 50 = 0, 2*n = -q. What is the tens digit of s?
1
Suppose 0 = -3*h + 26 - 11. Suppose h*v = 113 - 23. What is the units digit of v?
8
Let s be 32/10 + (-5)/25. Let w = 31 + -13. Suppose -3*k + i + 23 = 3*i, s*k = 3*i + w. What is the units digit of k?
7
Suppose 3*r - 2 + 14 = 0. Let d(y) = 0*y**2 + 6*y + 4 - 6*y**3 + 5*y**3 - 2*y**2. What is the tens digit of d(r)?
1
Let s(l) = -l**3 - 4*l**2 + l + 2. Let f be s(-2). Let r = 8 - f. What is the units digit of r?
6
Let r(t) = 2*t**2 + 3*t + 3. Let j be r(-2). Suppose -5*l + y + 77 = 4*y, -y + 79 = j*l. What is the tens digit of l?
1
Let r be (-11)/3 - (-2)/3. Let h = -1 - r. Let o = h - -3. What is the units digit of o?
5
Let i(g) = g**3 - 2*g - 2. Let s(b) = b - 1. Let d be s(4). Let y be i(d). Let t = y - 5. What is the tens digit of t?
1
Let | {
"pile_set_name": "DM Mathematics"
} |
d by (-24)/(-15) - v/10.
1
Let l = 36 + -28. Calculate the remainder when l is divided by 3.
2
Suppose 5*i = -w - 2*w + 6, 0 = i + w. Suppose 20 = -h - i*h, 5*h + 16 = -a. Calculate the remainder when 24 is divided by a.
6
Let l(r) be the second derivative of -r**5/20 - 5*r**4/6 - 11*r**3/6 - 3*r**2 + 2*r. What is the remainder when 45 is divided by l(-9)?
9
Suppose 0 = 2*z - 112 - 46. What is the remainder when z is divided by 9?
7
Let y = -58 - -135. Calculate the remainder when y is divided by 16.
13
Suppose 3*z + 48 = 6*z. Let s(f) = 7*f**2 + 4*f + f**3 + 2 - 6*f + f. Calculate the remainder when z is divided by s(-7).
7
Let r = -5 + 4. Calculate the remainder when r - (18/(-3) - 3) is divided by (0 - (-2)/(-6))*-15.
3
Let p = 79 + -57. Let i = -56 - -141. Calculate the remainder when i is divided by p.
19
Suppose 1 - 43 = -3*n. Suppose -4*o + 3*z - 33 = 6, 0 = o - 5*z + n. Let x = 19 + o. What is the remainder when x is divided by 6?
4
Suppose -2*q + 4*k - 6 = -70, q - k - 29 = 0. What is the remainder when 100 is divided by q?
22
Let g(q) = -q**2 - 10*q - 6. Let x be g(-7). Suppose b + 2*j - 25 = j, 4*j = b - x. What is the remainder when b is divided by 8?
7
Let i(t) = t**3 + 7*t**2 + 10*t + 33. What is the remainder when 41 is divided by i(-6)?
5
Let a(r) = -3*r - 3. Let z be a(-2). Suppose -13 = -z*s + 2. What is the remainder when s is divided by (-1)/(-6) + (-11)/(-6)?
1
Suppose 2*y - 5*u + 33 - 12 = 0, -2*y - 19 = -3*u. Let t = 17 + y. Calculate the remainder when 26 is divided by t.
8
Let y(a) = -2*a + 28. Calculate the remainder when y(-12) is divided by 18.
16
Let t(r) = -r - 7. Let s be t(-8). Let j(c) = 13*c**3 - c. Calculate the remainder when 34 is divided by j(s).
10
Let h be (54/(-8))/(-3)*-4. Let z = 6 - 3. Calculate the remainder when 104/z + (-3)/h is divided by 12.
11
Suppose 2*m - 7*m = 0, -3*m + 45 = -5*v. Let h = v - -26. Calculate the remainder when h is divided by (-9)/((0 - -1)*-1).
8
Let a = 79 - 49. What is the remainder when a is divided by 2/3 - 92/(-6)?
14
Let t(g) = g**3 - 4*g**2 - 3*g - 2. Let a be t(5). What is the remainder when 858/24 - (-2)/a is divided by 19?
17
Let k = 11 + -4. Suppose -2*d + 32 = 4*m, 2*d - 2 = 5*m - 15. Let f = 7 + d. What is the remainder when f is divided by k?
6
Suppose 0 = -5*z - k + 38, -4*k + 28 = 3*z - 5. Calculate the remainder when 17 is divided by z.
3
Suppose 83 + 21 = 2*w. What is the remainder when w is divided by 18?
16
Let i be (4/(-10))/(4/(-20)). Let m be i/1 + 2*-3. Calculate the remainder when (-178)/(-8) - (-1)/m is divided by 12.
10
Suppose 3*l = 3*d - 330, 574 = 5*d - l + 12. Suppose 4*p + 1 = d. What is the remainder when (2/(-7))/((-4)/p) is divided by 1?
0
Let o(i) = i**3 - 8*i**2 - 4*i - 1. Suppose -3*s + 7 = -17. Let t be o(s). What is the remainder when 2/(-6)*(0 + t) is divided by 4?
3
Let v = -28 - -28. Suppose v = 3*j - 12 - 9. What is the remainder when 34 is divided by j?
6
Let r = -1 - -2. Let i be (r + (-33)/(-6))*10. Let u = -39 + i. Calculate the remainder when u is divided by 9.
8
Suppose 5*o = -283 - 82. Let w = o - -105. Calculate the remainder when 62 is divided by w.
30
Let p = -21 - -42. What is the remainder when p is divided by 15?
6
Let u be 93/15 - 1/5. What is the remainder when (-69)/2*(-4)/u is divided by 8?
7
Let s(g) = g**3 - 11*g**2 - 11*g - 6. Calculate the remainder when 17 is divided by s(12).
5
Suppose 5*b - 30 = -2*j, 4*j + 0*j = b + 16. What is the remainder when 4/10*(31 - 1) is divided by j?
2
Let u(f) = f**2 - 5*f + 6. Let z be u(4). Suppose 16 = -a + z*a. What is the remainder when 62 is divided by a?
14
Suppose g + 66 = 3*g + 3*u, 5*u - 170 = -5*g. Let h = g + -24. What is the remainder when 57 is divided by h?
9
Suppose -1 = r - 2*r. Let y = r - -13. What is the remainder when 26 is divided by y?
12
Suppose 4*j = 18 - 6. Suppose 0 = -j*z + 29 + 88. Calculate the remainder when z is divided by ((-9)/6)/((-6)/80).
19
Suppose -6 = 2*j - 5*j. Suppose 0*w - j*w + 338 = 0. Suppose 0*o - 3*v = 3*o - 99, 5*o = -4*v + w. Calculate the remainder when o is divided by 13.
11
Let v be ((-6)/(-2))/(4/156). Suppose v = k + 2*k. What is the remainder when k is divided by 14?
11
Let r = 38 - -31. Let a be (r/3)/(1/(-2)). Let v = a + 77. Calculate the remainder when v is divided by 11.
9
What is the remainder when (88/(-12))/(4/(-54)) is divided by 20?
19
Suppose u + 3*o = -3*u + 159, 5*u = -o + 185. Suppose -5*q = -2*q + j - u, 3*q = 4*j + 21. Calculate the remainder when 42 is divided by q.
9
Suppose -25*o = -1558 + 433. Let d(h) = 4*h. Calculate the remainder when o is divided by d(4).
13
Let z(f) = 3*f**2 - 2*f - 3. Calculate the remainder when z(-2) is divided by 7.
6
What is the remainder when 41 - 4*(-3 + 11/4) is divided by 16?
10
Suppose -2*c = -0*s + 4*s - 14, -c + 7 = 5*s. Suppose -2*v = 2*a - 8, 2*v - 2*a - 3*a = 8. Calculate the remainder when c is divided by v.
3
Suppose 28*k - 31*k = -81. What is the remainder when k is divided by 2?
1
Let y = 2 - 3. Let i = 2 + y. What is the remainder when 2 is divided by i?
0
Let i = -129 - -137. What is the remainder when 78 is divided by i?
6
Suppose 0 = 4*t - 4*m + 5 - 321, 146 = 2*t - 5*m. Suppose 6*i = -5*l + 10*i + 65, -3*l = -2*i - 41. What is the remainder when t is divided by l?
15
Let n(c) = 2*c**2 - 12*c + 18. Calculate the remainder when n(8) is divided by 18.
14
Let x = 38 - -21. Calculate the remainder when x is divided by 15.
14
Let w be 0 + -1 + (-6)/(-2). Suppose w*l + 217 = 4*s + 45, -33 = -s + 3*l. What is the remainder when s is divided by 16?
13
Let a = -105 - -133. Calculate the remainder when 55 is divided by a.
27
Let r(k) = -k - 4. Let t be r(-6). Calculate the remainder when (40/12)/(t/12) is divided by (14/(-4))/(1/(-2)).
6
Suppose -5 = -5*c + 5. Suppose 0 = -3*r + 3*l + c*l + 227, 0 = -r - 4*l + 70. Calculate the remainder when r is divided by 38.
36
Suppose 0 = 3*p - 2*z - 12 - 1, 3*z + 15 = 3*p. Suppose -4*i + i + 6 = -3*q, 3*i - 12 = 0. What is the remainder when 10 + (-1)/q*2 is divided by p?
0
Suppose l - 16 = -l. Let n(z) = -1 + 5 + 0*z**2 + z**2 - 5*z - 5. What is the remainder when n(7) is divided by l?
5
Suppose 2*h - 3 = 1. Suppose 2*y - 53 = -3. Calculate the remainder when y is divided by 12 - (h - 4/1).
11
Suppose -3*d + 2*d + 31 = 5*p, 2*d - 5*p - 32 = 0. Let a = 18 - 10. Calculate the remainder when d is divided by a.
5
Let i = 9 + 20. Let n = i - 14. What is the remainder when 58 is divided by n?
13
Suppose -7 = -0*f - f. What is the remainder when f is divided by 20/(-290) + 180/87?
1
Let t(g) = g**3 + 6*g**2 - 2*g. Suppose 11 = a - 4*n + 7*n, 3*n = 2*a - 4. Calculate the remainder when t(-6) is divided by a.
2
What is the remainder when 213 is divided by 6/30*5*43?
41
Suppose -3*i - 117 = -d - 40, -2*d = -5*i - 149. Let l = -34 + d. What is the remainder when l is divided by 10?
8
Let p(z) = 4*z**2 - 3*z**2 + 0*z + z. Let i be p(-2). Suppose 0 = 3*y - 14 + i. What is the remainder when 10 is divided by y?
2
Suppose t - 4*u - u - 8 = 0, 10 = 2*u. What is the remainder when t is divided by 17?
16
Let c = 27 + -20. Calculate the remainder when c is divided by 4.
3
Let y be (22/4)/((-5)/(-50)). Let g = y + -17. What is the remainder when g is divided by 13?
12
Let b(n) = -5*n - 15. What is the remainder when 28 is divided by b(-6)?
13
Suppose q = 2, -2*v + v + 36 = 2*q. Calculate the remainder when 125 is divided by v.
29
Let b(i) = -3*i**2 - 3*i - 3. Let d be b(-2). Let m = d - -19. Calculate the remainder when 39 is divided by m.
9
Suppose 2*d = 46 + 22. Suppose p = -2*p - 15. Let f = p - -17. Calculate the remainder when d is divided by f.
10
Let r be -2 + 19/(1 + 0). Suppose -r - 3 = -2*y. What is the remainder when 28 is divided by y?
8
Suppose -4*a + 20 = a. Calculate the remainder when 137 is divided by a/(-8) + (-71)/(-2).
32
Let j(t) = 16*t - 1. Let i(q) = q + 4. What is the remainder when j(1) is divided by i(0)?
3
Let q = 9 - 19. Let g(d) = 7*d - 6. What is the remainder when g(7) is divided by 4/q + (-154)/(-10)?
13
Suppose -3*y + 5*a = -172, -5*a + 110 = 4*y - 61. Suppose -b + k + 26 = -2*k, k = 4*b - 71. Calculate the remainder when y is divided by b.
15
Let r(j) = j**2 + 3*j - 8. Let k be r(-6). Suppose 0 = -2*q + 3*q - k. | {
"pile_set_name": "DM Mathematics"
} |
Let k(z) = -6*z**3 + 7*z + 7. Calculate 6*k(g) - 7*m(g).
-g**3
Let r(i) = -i. Let n be -1 - -1 - 2 - -4. Let m(d) = 7*d - 1. Let q(j) = -20*j + 3. Let k(v) = 8*m(v) + 3*q(v). What is n*r(o) - k(o)?
2*o - 1
Let j(u) be the second derivative of u**5/15 - 5*u**3/6 - 5*u**2/2 - 2*u. Let g(d) be the first derivative of j(d). Let o(h) = 3*h**2 - 4. Give 4*g(m) - 5*o(m).
m**2
Let l(n) = 5*n**2 + 2*n + 1. Let d = -14 - -17. Let r(k) = -k**2 - k - 1. What is d*r(i) + l(i)?
2*i**2 - i - 2
Let w(m) = 11288*m**2 - 476*m - 476. Let o(k) = -71*k**2 + 3*k + 3. Determine -476*o(t) - 3*w(t).
-68*t**2
Let d(n) = n + 3. Suppose 3*i + 4*c + 6 = 0, 2*i + 21 = 5*i - 5*c. Let m(t) = 0 + 3 + i + t. Suppose -j = 2*j + 9. Give j*m(l) + 5*d(l).
2*l
Let o(z) = 7*z**2 - 2*z + 5. Let m(u) be the second derivative of 5*u**4/3 - u**3 + 7*u**2 + 5*u. Give -6*m(j) + 17*o(j).
-j**2 + 2*j + 1
Let i(n) = n. Let x(c) be the second derivative of -c**3/6 + c**2/2 + 14*c. Determine 4*i(j) + 2*x(j).
2*j + 2
Suppose 4*t = -0*t - 40. Let l = t + 4. Let x(o) = 8*o**3 - 8*o**2 + 6*o - 7. Let r(c) = -c**3 + c**2 - c + 1. Determine l*r(j) - x(j).
-2*j**3 + 2*j**2 + 1
Let p(s) = -3*s**2 - 8. Let i(f) = -2*f**2 - 5. Let q be 0 + 0 + 2 + -4. Let g be -8 + (-2)/q - -2. Give g*p(l) + 8*i(l).
-l**2
Let w(b) = -b**3 - 5*b**2. Let p(y) = -2*y**3 - 16*y**2. Calculate -5*p(z) + 16*w(z).
-6*z**3
Let j(s) = -5*s**2 - 3*s. Suppose 0 = 3*t - 5*t + 2. Let r(y) be the second derivative of y**4/12 + y**3/6 + 2*y. Determine t*j(l) + 3*r(l).
-2*l**2
Let m(s) = s. Let y(b) = 3*b. Let u(r) = -r**3 - r**2 + r + 4. Let z be u(0). Let x be -3*z/(-24)*2. Suppose 3*v + 4 = 1. Calculate v*m(l) + x*y(l).
2*l
Let k(v) = -6*v**2 + 3. Let l(n) be the third derivative of -11*n**5/60 + 5*n**3/6 - 2*n**2 - 2*n. Give 7*k(s) - 4*l(s).
2*s**2 + 1
Let f(x) = 8*x + 6. Let c(w) = -1. What is 5*c(o) + f(o)?
8*o + 1
Let l(d) = -d - 3. Suppose -6*w + 3*w = y + 5, 4*w = -5*y - 14. Let b(k) = k. Give y*b(v) - l(v).
-v + 3
Let r(v) = -11*v**2 + 2*v - 7. Let d(i) = -6*i**2 + i - 4. Let a(q) = -q + 1. Let s be a(-3). Calculate s*r(z) - 7*d(z).
-2*z**2 + z
Let p(n) = -9*n + 9*n - 8 - 6 + 10*n. Let z(c) = c - 1. What is -p(i) + 12*z(i)?
2*i + 2
Let v(r) = -r - 4. Let w(c) = 3*c + 9. Calculate -5*v(d) - 2*w(d).
-d + 2
Let n(c) = -3*c**2 - 5*c - 7. Let f(d) = -d**2 - d - 1. Let w = -88 + 93. Determine w*f(h) - n(h).
-2*h**2 + 2
Let u(o) = -2*o**3 - 5*o**2 - 5*o - 5. Let h(s) = s**3 + 3*s**2 + 3*s + 3. Determine 5*h(n) + 3*u(n).
-n**3
Let n(r) = -2*r**2 - 7*r + 5. Let i(y) = -3*y**2 - 8*y + 6. Give -4*i(v) + 5*n(v).
2*v**2 - 3*v + 1
Let r(a) = 21*a**3 + 6*a**2 + 6*a + 3. Let p(c) = -20*c**3 - 5*c**2 - 5*c - 3. Determine 6*p(l) + 5*r(l).
-15*l**3 - 3
Let x(s) = 5*s. Let q(m) = -5*m + 0*m + m + 3*m. What is -33*q(y) - 6*x(y)?
3*y
Let f(x) = -2*x**2 + x - 4. Let n(i) = -4*i**2 + 2*i - 9. Suppose 0*z = -z + 9. What is z*f(u) - 4*n(u)?
-2*u**2 + u
Let c(k) = -30*k**3 - 4*k**2 + 4. Let x(g) = 330*g**3 + 45*g**2 - 45. Determine 45*c(a) + 4*x(a).
-30*a**3
Let f(c) = c + 4. Suppose -i = 9 - 2. Let d(h) = 2. Determine i*d(p) + 3*f(p).
3*p - 2
Let n(q) = 2*q. Let l be n(3). Let p(b) = -l + 3 + 1 + b - 3*b. Let u(o) = o + 1. Give 2*p(x) + 5*u(x).
x + 1
Let c(r) = r + 1. Let k(l) be the second derivative of -l + 3/2*l**2 + 1/2*l**3 + 1/12*l**4 + 0. Give c(o) - k(o).
-o**2 - 2*o - 2
Let m(s) = 4*s**2 + 5*s - 2. Let k(f) = 7*f**2 + 10*f - 5. Let j(n) = -2*k(n) + 5*m(n). Let l(a) = 5*a**2 + 4*a. Calculate 3*j(t) - 4*l(t).
-2*t**2 - t
Suppose d + 2*t - 10 = -2*d, 4*t + 22 = d. Let r(a) = 5. Let j(q) = -1. Let m(o) = -9*j(o) - 2*r(o). Let k(z) = -1 + z**2 + z - 4 - 3*z. What is d*m(n) - k(n)?
-n**2 + 2*n - 1
Let v(x) = x**2 + x - 1. Let u(m) = m**2 + 3*m - 1. Let p(o) = -o**2 - 7*o + 1. Let a(n) = 2*p(n) + 5*u(n). What is a(g) - v(g)?
2*g**2 - 2
Let d(s) = 2*s**2 + 5*s + 2. Let h(u) = -u. What is d(q) + h(q)?
2*q**2 + 4*q + 2
Let v(i) = -i + 19. Let a(b) = -b + 1. What is -3*a(w) + v(w)?
2*w + 16
Let r(a) = -7*a**2 - 5*a + 4. Let z(j) = -10*j**2 - 4*j + 3. Let n(h) = h**2 - h + 1. Let l(d) = -2*n(d) - z(d). Determine 5*l(p) + 6*r(p).
-2*p**2 - 1
Suppose 5*w + 9 + 6 = 0. Let o(g) be the third derivative of -g**5/12 + g**4/3 + g**3/3 + 3*g**2. Let z(v) = 2*v**2 - 3*v - 1. Calculate w*o(c) - 8*z(c).
-c**2 + 2
Let z(h) = -8*h**3 + 5*h + 5. Suppose 4*i - 17 = u - 2, 0 = 2*u - 4*i + 10. Let m(t) = 33*t**3 - 21*t - 21. Calculate u*m(g) + 21*z(g).
-3*g**3
Let m(d) = 4*d + d - d - 3*d. Let o(c) = c**3 - 10*c**2 + 8*c + 6. Let j be o(9). Let y(n) = n**2 + 3*n + 1. Calculate j*m(k) + y(k).
k**2 + 1
Let u(f) be the first derivative of -f**4/4 + 5*f**3/3 + 6. Let x(l) = -2*l**3 + 8*l**2. Give 8*u(j) - 5*x(j).
2*j**3
Let b(l) = -5*l**2 - 1. Let s(w) = -4*w**2 - 5. Let j(i) = 1. Let u(k) = -4*j(k) - s(k). Let p = 5 + -12. Let t = p - -10. Determine t*b(y) + 4*u(y).
y**2 + 1
Let f(q) = -19*q**3 - 13*q**2. Let l(c) be the second derivative of -9*c**5/20 - c**4/2 - 9*c. Calculate 6*f(u) - 13*l(u).
3*u**3
Let a(v) = v**2 + 5*v - 6. Let z be a(-6). Let p(b) = b**2 - 8*b + z*b**2 - 3*b + 10*b. Let o(r) = 6*r**2 - 5*r. Suppose -1 = 2*s - 9. Give s*p(f) - o(f).
-2*f**2 + f
Let x(j) be the third derivative of j**6/30 - j**5/20 - j**3/2 - 40*j**2. Let f(z) = -9*z**3 + 7*z**2 + 7. Determine 3*f(g) + 7*x(g).
g**3
Let n(h) = h**2. Let p(w) = w**3 + 7*w**2 + 3. Calculate 3*n(g) - p(g).
-g**3 - 4*g**2 - 3
Suppose d - 5*d - 12 = 0. Let n(j) = 2*j**2 - j + 3. Let a(h) be the third derivative of -h**3/6 - 4*h**2. Determine d*a(v) - n(v).
-2*v**2 + v
Let a(o) = -2*o + 5. Let h be a(5). Let p(g) be the first derivative of -g**2 + 3*g - 9. Let r be -1*(2 + -1)/(-1). Let l(j) = 1. Calculate h*l(s) + r*p(s).
-2*s - 2
Suppose 2 = 3*q + 14. Let m(t) = 11*t**3 + 6*t + 7. Let f(c) = -6*c**3 - 3*c - 4. Determine q*m(x) - 7*f(x).
-2*x**3 - 3*x
Let c(t) = 5*t**2 - 2*t - 2. Let l(w) = -4*w**2 + 3*w + 3. Calculate 3*c(z) + 2*l(z).
7*z**2
Let w(v) be the first derivative of -2 + 1/3*v**3 + v**2 + 0*v. Let a(b) = b**2 + 2*b**2 - 4*b**2 + 2*b**2 + 3*b. What is 3*a(g) - 4*w(g)?
-g**2 + g
Let v(s) be the first derivative of -7*s**2/2 - 13*s - 6. Let i(d) be the second derivative of -d**3/2 - 3*d**2 - d. Determine -9*i(z) + 4*v(z).
-z + 2
Let k be (0 - 1 - 0) + 7. Let m = -23 + 30. Let h(w) = 8*w + 2. Let x(z) = -9*z - 2. Calculate k*x(d) + m*h(d).
2*d + 2
Let s(b) = -b**2 + 10*b**2 - 2*b**2. Let h = 16 + -10. Let k = h - 7. Let u(t) = t**2. Calculate k*s(i) + 6*u(i).
-i**2
Let u(v) = 3*v + 2. Let s(n) = 2*n + 2. Let o be 2*3*6/(-9). Let l = 16 + -11. Give l*s(j) + o*u(j).
-2*j + 2
Let w(c) = 2*c**2 - c - 2. Let o(g) = -2*g**2 + g + 3. Suppose 5*d + 16 = 9*d. Let k = -7 + d. Give k*w(b) - 2*o(b).
-2*b**2 + b
Let r(h) = -5*h**2 + 21*h + 21. Let s(d) = d**2 - 4*d - 4. Suppose 2 = 5*p - 13. Suppose 0 = 3*n + p*q + 9, 2*n - 3*q = -0*q + 19. Determine n*r(g) + 11*s(g).
g**2 - 2*g - 2
Let a(c) = -c**2 + 8*c - 2. Let v(d) = -d**2 + 9*d - 3. Let w(k) = 6*a(k) - 5*v(k). Let p(l) = -2*l**2 + 7*l + 7. Calculate -2*p(g) + 5*w(g).
-g**2 + g + 1
Let k(y) = -y**3 - y**2 - 1. Let b(g) = 8*g**3 + 6*g**2 - 2*g + 3. What is b(p) + 5*k(p)?
3*p**3 + p**2 - 2*p - 2
Let y(g) be the third derivative of -1/3*g**3 + 1/20*g**5 + 0 + 0*g + 1/4*g**4 + 6*g**2. Let q(z) = -5*z**2 - 11*z + 4. What is -4*q(w) - 7*y(w)?
-w**2 + 2*w - 2
Let s(v) = -1. Let z(d) = d - 3. Let m(x) = x**2 - 5*x - 15. Let f be m(7). Let o be (1 - -9)*f + 3. Calculate o*s(k) + 2*z(k).
2*k + 1
Let d(n) = 21*n + 14. Let f(r) = r + 1. What is d(l) - 14*f(l)?
7*l
Let f(a) = -12*a - 15. Let h(v) = -11*v - 14. Give -5*f(k) + 6*h(k).
-6*k - 9
Let f(b) = -3*b - 12. Let k(j) = -1. Let t = -9 + 3. Let m(w) = -1. Let s(q) = t*k(q) + 5*m(q). Determine f(n) + 12*s(n).
-3*n
Let t(n) = -n**2 - n. Let c(y) = -y**3 - 8*y**2 - 9*y - 13. Let w be c(-7). Let x(j) = 2*j**3 - 5*j**2 - 3*j. Calculate w*x(z) - 5*t(z).
2*z**3 + 2*z
Let o(r) = 7*r**3 - r**2 + 5*r - 6. Let n(t) = 6*t**3 - t**2 + 4*t - 5. Let w(u) = -5*n(u) + 4*o(u). Let d(p) = 1. Give -d(q) + w(q).
-2*q**3 + q**2
Let v(s) = -7. Let t(w) = w - 8. Calculate -5*t(q) + 6*v(q).
-5*q - 2
Let z = 6 + -6. Let g(b) = -5 + 4 - 5*b**2 + z. Let k be g(-1). Let l(f) = 4*f - 1. Let r(p) = 23*p - 6. Calculate k*r(m) + 34*l(m).
-2*m + 2
L | {
"pile_set_name": "DM Mathematics"
} |
+ 0 + 0*o + 3*o**2. Differentiate g(l) with respect to l.
-6*l**2
Let n = 4/15 + -1/60. Let k(b) be the second derivative of 0 + 0*b**2 - 3/10*b**5 - 6*b - n*b**4 + 0*b**3. What is the third derivative of k(p) wrt p?
-36
Let l(t) be the first derivative of -14*t**5/5 + 3*t**4/4 + 19*t**3/3 - t**2 + 49. What is the third derivative of l(a) wrt a?
-336*a + 18
Let m(a) be the second derivative of 35*a**3/6 - 16*a**2 + 16*a. Let c(z) = 71*z - 63. Let b(g) = 2*c(g) - 5*m(g). What is the derivative of b(x) wrt x?
-33
Let u(z) be the third derivative of -37*z**6/120 + z**5/15 - z**4/12 + 34*z**3/3 - 3*z**2 - z. Find the second derivative of u(o) wrt o.
-222*o + 8
Let t(n) = 63*n**2 + 27*n - 5. Let c(i) = 32*i**2 + 12*i - 2. Let p(q) = -10*c(q) + 4*t(q). Find the second derivative of p(j) wrt j.
-136
Let k(f) = -62*f**3 - 9*f + 51. Let p(c) = -4*c - 20*c**3 - 15*c**3 + 4*c**3 + 26. Let x(n) = -4*k(n) + 9*p(n). What is the derivative of x(m) wrt m?
-93*m**2
What is the second derivative of -3*j**2 - 20*j + 14*j**2 - 12*j**2 - 2 + 7*j**3 wrt j?
42*j - 2
Let a(o) be the second derivative of -493*o**5/20 - 29*o**4/4 - o**3/3 - 30*o. What is the third derivative of a(s) wrt s?
-2958
Let d(o) be the third derivative of o**8/14 + o**5/12 + 251*o**4/24 + o**3/6 - 892*o**2. Find the second derivative of d(n) wrt n.
480*n**3 + 10
Let s(p) = 481*p**2 - 283*p. Let f(d) = -967*d**2 + 567*d. Let a(c) = -4*f(c) - 7*s(c). What is the second derivative of a(t) wrt t?
1002
Let y = 5 + -3. Suppose m - 1 = 2*v, -5*v + 33 = -v + 5*m. Find the second derivative of y*p + 10*p**v - p - 15*p**2 wrt p.
-10
Let y be (-14)/((4*-2)/4). Let s(q) be the first derivative of 4*q**y - 6 - 5*q**7 - q**3 + q**3 - q**3. Find the third derivative of s(o) wrt o.
-840*o**3
Let v(i) be the first derivative of -2*i**3 - 17*i - 8*i + 8 - 48 - 17*i. Find the first derivative of v(j) wrt j.
-12*j
Let o(n) be the second derivative of -n**7/210 - n**4 - 11*n**3/3 + 19*n. Let z(p) be the second derivative of o(p). What is the first derivative of z(w) wrt w?
-12*w**2
Let j(y) = -91*y**3 + 18*y**2 + 3*y - 222. Let s(n) = n**3 - 3*n**2. Let i(u) = -j(u) - 6*s(u). What is the first derivative of i(d) wrt d?
255*d**2 - 3
What is the third derivative of -3*p**2 + 80*p**6 - 7*p**2 + 37*p**2 + 9*p**2 wrt p?
9600*p**3
Let n(c) = -283*c**2 - 19*c - 2. Let m(o) = 2*o**2 - o + 2. Let g(v) = -m(v) - n(v). What is the second derivative of g(l) wrt l?
562
Differentiate -105*k**3 - 173 - 83 + 198*k**3 wrt k.
279*k**2
Let l(r) = 749*r**2 - 3*r + 2. Let z be l(1). What is the third derivative of z*h**4 + 5*h**2 - 25*h**6 - 748*h**4 wrt h?
-3000*h**3
Suppose -2*g = 3*g. Suppose 26 + 14 = 8*a. What is the second derivative of -w + g*w - a*w - 12*w**2 - 4*w wrt w?
-24
Find the third derivative of 0*a**3 + a**3 - 11*a**4 - 72*a**2 + a**4 + 2*a**3 - 9*a**4 wrt a.
-456*a + 18
Let v(x) be the first derivative of -17*x**6/3 - 95*x**2 + 145. Find the second derivative of v(s) wrt s.
-680*s**3
Let h(f) = -116*f + 86. Let z(g) = 39*g - 29. Let n be (-6)/15*(6 - 1). Let s(j) = n*h(j) - 7*z(j). Find the first derivative of s(q) wrt q.
-41
Suppose 0 = -4*n - 12, 6*c - 15 = 4*c + 3*n. Suppose -3*i + c = -2*i. Differentiate -8*h**3 - 9 + 8*h**i - 4*h**3 with respect to h.
-12*h**2
Let c(o) be the third derivative of -7*o**6/10 - o**5/6 + o**3/3 + 4*o**2 + o. Find the third derivative of c(g) wrt g.
-504
Let b(q) = 2*q**4 + 8*q**3 + 109*q**2 - 2. Let o(a) = 17*a**3 + 217*a**2 - 5. Let h(u) = 5*b(u) - 2*o(u). Find the third derivative of h(d) wrt d.
240*d + 36
Let o(y) be the second derivative of y**7/21 - 4*y**5/15 + y**2 - y. Let f(b) be the first derivative of o(b). Find the third derivative of f(u) wrt u.
240*u
Find the third derivative of -271*l + 3*l**3 + 23*l**2 + 137*l + 134*l + 18*l**5 wrt l.
1080*l**2 + 18
Let d(c) = c**4 + c**2 + 2*c - 1. Let y(o) = -218*o**4 + 3*o**2 + 6*o + 176. Let m(r) = -3*d(r) + y(r). What is the first derivative of m(p) wrt p?
-884*p**3
What is the third derivative of 18*u**2 + 0*u - u - 3*u + 10 + 41*u**5 - 10 + u**6 wrt u?
120*u**3 + 2460*u**2
Let m(x) be the third derivative of -x**6/40 - x**5/30 + 8*x**3 + 61*x**2 + 3. Differentiate m(v) with respect to v.
-9*v**2 - 4*v
Let j(b) be the third derivative of -13*b**2 + 0*b + 0 + 0*b**7 + 1/24*b**8 + 0*b**6 + 0*b**5 - 1/6*b**4 + 0*b**3. Find the second derivative of j(y) wrt y.
280*y**3
Let s(z) = z**2 - 5*z - 4. Let u be s(6). What is the second derivative of 7*d**3 + 3*d**3 - d - 13*d - u*d wrt d?
60*d
Let l(k) be the second derivative of -k**4/6 + 31*k**3/6 + 93*k**2/2 + 24*k. What is the first derivative of l(g) wrt g?
-4*g + 31
Let t(i) be the first derivative of 22*i - 5/2*i**2 + 14. What is the derivative of t(l) wrt l?
-5
What is the third derivative of 2*h**4 - 37*h**4 + 29*h**2 - 104*h**4 - 6*h**4 wrt h?
-3480*h
What is the first derivative of 72 + 20 + 2*r + 282 - 111*r - 7*r wrt r?
-116
Let s be (579 + -2 + 2)*(-11)/(-33). Find the second derivative of 194*f**3 - 8*f + s*f**3 - 363*f**3 wrt f.
144*f
Let y = 17 - 8. What is the derivative of k + 3*k + k - y wrt k?
5
Let b(m) be the first derivative of m**4/4 + 79*m**2/2 + 630*m - 144. Find the first derivative of b(a) wrt a.
3*a**2 + 79
Let c = 98 - 95. Differentiate 5 - 5 - 3 - 5 + 39*r**c wrt r.
117*r**2
Let y = 55 - 77. Let u = 25 + y. What is the first derivative of -u*m - 5 + 1 - 10*m wrt m?
-13
Let l(r) = -r**2 - 10*r + 13. Suppose -27 = 4*x + 17. Let i be l(x). What is the first derivative of -i*q + 2 - q - 2*q - q wrt q?
-6
Let w = -155/9 + 337/18. Let o(r) be the first derivative of 0*r**2 - 3*r**3 + 0*r + w*r**4 - 2. What is the third derivative of o(k) wrt k?
36
Let a(x) be the first derivative of -x**8/336 - x**6/45 - 13*x**3/3 + 9. Let j(r) be the third derivative of a(r). Find the third derivative of j(n) wrt n.
-120*n
Let y(x) = -81*x - 41. Let h(n) = -79*n - 42. Let r(d) = 5*h(d) - 4*y(d). Differentiate r(a) wrt a.
-71
Let j(f) = f**3 + 2*f**2 - f. Let h(g) = g**4 + 231*g**3 - 5*g**2 + 2*g + 25. Let y(n) = h(n) + 2*j(n). Find the third derivative of y(s) wrt s.
24*s + 1398
Let g be 2 - (3 - 3/3). Let v(a) = g + 2 - 1 + 3. Let q(o) = -o - 4. Let c(m) = -5*q(m) - 6*v(m). Find the first derivative of c(i) wrt i.
5
What is the second derivative of 169 - 170*w - 23*w + 96*w**3 - 169 wrt w?
576*w
Let k(s) be the first derivative of -2*s**5/5 - s**2 + 78*s - 33. What is the first derivative of k(v) wrt v?
-8*v**3 - 2
Let r = -23 - -32. What is the third derivative of -r*o**2 - o**6 + 11*o**6 + 2*o**2 wrt o?
1200*o**3
Let m(r) be the first derivative of 2*r**4 - 7*r**3/3 - 8. Let u(x) = -x**3 + x**2. Let w(v) = m(v) + 3*u(v). What is the third derivative of w(l) wrt l?
30
Suppose 0 = 2*z + 3*n - 16, -7 - 5 = -4*z - n. What is the second derivative of 22*t**5 - 15*t - 5*t**5 - z*t**5 wrt t?
300*t**3
Suppose -f - 3 = -7. Differentiate 0*a**4 - 9*a**f + 0*a**4 + 45 + 4*a**4 wrt a.
-20*a**3
Let t(i) = 4*i + 29. Let l be t(-12). Let z = 22 + l. What is the third derivative of -a**2 + 2*a**5 + 7*a**3 - z*a**2 - 7*a**3 wrt a?
120*a**2
Let s(z) = 8*z - 11. Let k(j) be the second derivative of -25*j**3/6 + 16*j**2 + j. Let h(g) = -3*k(g) - 8*s(g). Differentiate h(v) with respect to v.
11
Let n be 30/(-20) + 14/4. What is the derivative of -30*t**2 - 13*t**4 + 9 + 30*t**n wrt t?
-52*t**3
Let k(t) be the third derivative of 0*t**7 + 0*t**6 + 1/168*t**8 + 0*t - 2/15*t**5 + 0*t**3 + 0 + 0*t**4 + 12*t**2. Find the third derivative of k(h) wrt h.
120*h**2
Let v be 16/3*(-44)/16*-3. Find the second derivative of 40*x - v*x + 3*x**2 + 0*x**2 wrt x.
6
Let i be (1/(-3))/(2/(-36)). What is the first derivative of -8*v**2 - 4 + 0 - 3*v**2 + i*v**2 wrt v?
-10*v
Suppose -q + 2*m = -9, 5*m + 22 = 2*q - 0*q. Suppose -6*a + 19 - q = 0. What is the second derivative of -y - 9*y**a + 8*y**3 + 0*y wrt y?
-6*y
Let r be 4 + 1 + (-2)/1. Find the second derivative of r*k - 11 + 6*k + 11 - 6*k**5 wrt k.
-120*k**3
Differentiate 102*c + 304*c - 948*c - 78 with respect to c.
-542
Suppose 3*x - 3*j - 3 = 0, -4*j - 17 = -5*x - 3*j. Let o = 5 + -2. What is the derivative of o - 5*y**4 - 4*y**4 + x*y**4 wrt y?
-20*y**3
What is the second derivative of -116*q - 2 + 12*q - 239*q + 444*q**2 - q wrt q?
888
Suppose 3*v | {
"pile_set_name": "DM Mathematics"
} |
1077*t + 424 = 1130*t for t.
8
Solve -42*f - 3680 + 752 = 141*f for f.
-16
Solve 469*m - 2880 = 289*m for m.
16
Solve 22*v = 147 + 58 - 447 for v.
-11
Solve -102 - 634 = -46*y for y.
16
Solve -43*i - 60*i + 32*i = 284 for i.
-4
Solve -330*b + 454 + 192 = -349*b for b.
-34
Solve 329 + 489 = -232*d - 177*d for d.
-2
Solve 22*c + 68 + 44 = 8*c for c.
-8
Solve -48*k - 16*k + 674 = 98 for k.
9
Solve 32 - 9 = -40*f - 217 for f.
-6
Solve -601 = -21*a - 588 + 680 for a.
33
Solve 2963*p - 2994*p - 496 = 0 for p.
-16
Solve 82*x + 170 = 78*x - 166*x for x.
-1
Solve -3263*v + 3258*v + 55 = 0 for v.
11
Solve 76*o = -490 - 118 for o.
-8
Solve 91 + 154 = -92*z - 31 for z.
-3
Solve -245*z - 79 - 96 = -70*z for z.
-1
Solve -288 = -343*r + 335*r for r.
36
Solve -23694*w = -23659*w + 140 for w.
-4
Solve -361*w + 336*w - 400 = 0 for w.
-16
Solve -25700 = -611*p - 417*p for p.
25
Solve 24*c - 2 = 43*c - 59 for c.
3
Solve -105*n - 37*n = -13*n + 129 for n.
-1
Solve 383*y + 5766 = 154*y + 43*y for y.
-31
Solve 1702*x = 1724*x + 330 for x.
-15
Solve 0 = -165*l + 337*l - 242*l - 350 for l.
-5
Solve 266*t - 896 = 168 for t.
4
Solve 1431 - 781 = -182*h - 2626 for h.
-18
Solve -2061 + 3195 = -54*c for c.
-21
Solve 0 = 93*l - 26*l + 121*l + 1128 for l.
-6
Solve 68*c + 849 = 169 for c.
-10
Solve u = -7*u + 3*u + 40 for u.
8
Solve -176*g - 1275 - 501 = 336 for g.
-12
Solve 25*b = -164*b + 756 for b.
4
Solve 444 + 17511 = 945*l for l.
19
Solve 0 = -142*o - 192 - 1370 for o.
-11
Solve -105*q + 3038 = 59*q + 1070 for q.
12
Solve -121 = -4419*u + 4430*u for u.
-11
Solve 64*j + 32382 = 32830 for j.
7
Solve 884*r - 1358 = 787*r for r.
14
Solve 16717 = 615*s + 1342 for s.
25
Solve 2*h - 157*h = -51*h + 3016 for h.
-29
Solve -117*o + 1710 = -459*o for o.
-5
Solve 0 = -663*u + 737*u + 962 for u.
-13
Solve 578*s - 580*s - 2 = 0 for s.
-1
Solve -40*w + 168*w - 1482 = -119*w for w.
6
Solve 1136 = 228*l - 86*l for l.
8
Solve 12*j + 256 + 103 = -49 for j.
-34
Solve -48*u = -758 - 634 for u.
29
Solve -86*z - 17*z = 3 - 209 for z.
2
Solve -42*k = -45*k - 30 + 9 for k.
-7
Solve 331*v = -220*v - 236*v + 6296 for v.
8
Solve 84*j = -44*j + 512 for j.
4
Solve -1882 = -28*k + 1746 - 3768 for k.
-5
Solve 39*i - 59*i + 126 = -38*i for i.
-7
Solve -394 = 25*i + 131 for i.
-21
Solve -1471 = -83*z + 823 - 468 for z.
22
Solve -4340*g + 4296*g = 88 for g.
-2
Solve 69*g - 8800 = -9490 for g.
-10
Solve -119*o - 1385 = 163*o - 5*o for o.
-5
Solve -58*t = -384*t - 11084 for t.
-34
Solve -159*g + 2540 = 177*g - 82*g for g.
10
Solve -1271 = -6*p - 27*p - 314 for p.
29
Solve 40*y = -641 + 721 for y.
2
Solve 126 = -64*o + 82*o for o.
7
Solve -37*w - 186 = 776 for w.
-26
Solve -3036 = 7*a - 3043 for a.
1
Solve 28 = 17*z + 79 for z.
-3
Solve 980*r + 301 = 1023*r for r.
7
Solve 628 + 1678 = -140*h - 1194 for h.
-25
Solve -6*z + 117*z = -777 for z.
-7
Solve 0 = 3*o + 29*o - 736 for o.
23
Solve 30*t = 165*t + 260*t + 5530 for t.
-14
Solve 137 - 252 = -95*j + 170 for j.
3
Solve -741 = -115*o - 132*o for o.
3
Solve -8*k + 77*k + 234 = 30*k for k.
-6
Solve 0 = -17*u + 14*u - 112*u - 3105 for u.
-27
Solve 0 = -69*h + 194*h - 1584 + 4709 for h.
-25
Solve 62 = 17*h - 91 for h.
9
Solve 0 = 5*o - 24071 + 24096 for o.
-5
Solve -96 + 136 = -5*f for f.
-8
Solve -1302 + 226 = 221*u + 2460 for u.
-16
Solve 314*f = -67*f - 2286 for f.
-6
Solve -5825*s - 112 = -5832*s for s.
16
Solve 100*d - 64*d = -252 for d.
-7
Solve -20171 = 18*j - 19685 for j.
-27
Solve 24 + 25 = -15*u - 41 for u.
-6
Solve 27169*v = 27133*v for v.
0
Solve 609*x - 288 = 577*x for x.
9
Solve -739*s = 19357 - 2360 for s.
-23
Solve -4217 + 1499 = -754*n + 603*n for n.
18
Solve 4*q + 194 = 150 for q.
-11
Solve b + 4 + 3 = 3 for b.
-4
Solve -5*u + 5789 - 5714 = 0 for u.
15
Solve 0 = 20*b - 1646245 + 1646325 for b.
-4
Solve 218 + 193 - 120 = -97*r for r.
-3
Solve -165*r = 197*r + 6154 for r.
-17
Solve 95*h = 113*h + 67*h - 2380 for h.
28
Solve 38747 = 57*f + 40001 for f.
-22
Solve 9*h + 80*h = 9*h - 1760 for h.
-22
Solve -19116 = 248*i + 814*i for i.
-18
Solve -37*i - 8345 = -7346 for i.
-27
Solve -120*t + 313*t = 1351 for t.
7
Solve 22*v + 7 - 27 = 2*v for v.
1
Solve -6598 + 16765 = 1202*z - 13873 for z.
20
Solve 270 = 10*h + 110 - 50 for h.
21
Solve -31002 + 30330 = 112*j for j.
-6
Solve -1966*g + 28710 = -661*g for g.
22
Solve -4882*b + 4879*b = 60 for b.
-20
Solve 90*p + 359*p + 806 = -92 for p.
-2
Solve w = -1767 + 1787 for w.
20
Solve 22*m + 34 = -36*m - 1416 for m.
-25
Solve 6*l + 2*l = -31*l - 78 for l.
-2
Solve 30*s + 223 = 59 - 136 for s.
-10
Solve -780 = 124*u - 64*u for u.
-13
Solve -46*g = 9*g + 33*g + 528 for g.
-6
Solve 534*r - 4424 - 5978 = 1346 for r.
22
Solve -16*f + 19*f - 209 = 22*f for f.
-11
Solve -2318*t + 321*t + 41937 = 0 for t.
21
Solve 0 = -68*r + 397 + 636 - 285 for r.
11
Solve -3 = -13*p - 365 + 24 for p.
-26
Solve -89*t + 162*t = 82*t - 108 for t.
12
Solve 106*r + 44*r + 1800 = 0 for r.
-12
Solve -152*j - 293*j - 9852 = 1273 for j.
-25
Solve 4*s + 10859 - 10799 = 0 for s.
-15
Solve -154*g + 858 = -76*g for g.
11
Solve -10*w + 4*w = -6 + 12 for w.
-1
Solve 353*o - 264 - 795 = 0 for o.
3
Solve -13746 = -429*p - 336*p - 4566 for p.
12
Solve -705541*w = -705542*w + 19 for w.
19
Solve -12*y + 13*y + 41*y = -504 for y.
-12
Solve -31199*l + 31265*l = 1518 for l.
23
Solve -833*v = 866 + 10796 for v.
-14
Solve 4*g + 5*g + 20 = 119 for g.
11
Solve -190*u - 24 = 2780 - 144 for u.
-14
Solve -5838 = 323*o - 39*o + 133*o for o.
-14
Solve -30*y - 6593 = -6203 for y.
-13
Solve 13*p + 9622 = 9635 for p.
1
Solve 3*m - 72482 + 72500 = 0 for m.
-6
Solve 830*p - 407*p - 1125 = 498*p for p.
-15
Solve 174 = -521*c + 550*c for c.
6
Solve -91*h - 577 - 385 = -17*h for h.
-13
Solve -258*c = -179*c - 869 for c.
11
Solve 0 = -52*g + 137 - 467 - 242 for g.
-11
Solve 430 + 106 + 297 = 49*n for n.
17
Solve -4715*d - 98 = -4764*d for d.
2
Solve -681*o - 150 = -336*o - 295*o for o.
-3
Solve -87*n + 59 - 842 = 0 for n.
-9
Solve -599*p = -650*p for p.
0
Solve 0 = -91*r - 50*r + 234*r - 2139 for r.
23
Solve 44*y = 18*y + 254*y - 2964 for y.
13
Solve 49*f + 227*f - 3672 = -948*f for f.
3
Solve 1359*f - 1357*f + 10 = 0 for f.
-5
Solve -88*n = -395 + 835 for n.
-5
Solve -220*j = -252*j - 256 for j.
-8
Solve -131*s - 130 + 92 - 355 = 0 for s.
-3
Solve 43*a - 10*a + 11*a = 616 for a.
14
Solve -11*w - 6 - 167 = -30 for w.
-13
Solve 29*k = 25 - 634 for k.
-21
Solve 1166 - 270 = 6*q + 50*q for q.
16
Solve 251 - 237 = 14*d for d.
1
Solve -9*q - 404 = -62*q - 48*q for q.
4
Solve -12*x - 53*x - 27*x + 1380 = 0 for x.
15
Solve -159*i + 5500 = -150*i + 241*i for i.
22
Solve -12 + 18 = 2*r - 8*r for r.
-1
Solve -31308 - 6451 = 1402*r - 2709 for r.
-25
Solve -288*b + 18*b - 4050 = 0 for b.
-15
Solve -33*t + 77 = -48*t + 22*t for t.
11
Solve 75 = -10*y + 47 + 68 for y.
4
Solve -1890 = 131*v + 4*v for v.
-14
Solve -21*w = 52*w + 73 for w.
-1
Solve 14*u = -36*u + 42*u + 88 for u.
11
Solve -148*x - 42*x = 2090 for x.
-11
Solve 755 - 1211 = -50*g + 1044 for g.
30
Solve 59*n - 783 = -1196 for n.
-7
Solve -618*r - 2362 + 766 = 1494 for r.
-5
Solve -215*c + 251*c - 555 - 21 = 0 for c.
16
Solve 40*q = 251 + 189 for q.
11
Solve 109*k - 160 - 502 = -8 for k.
6
Solve 8*o + 0 = 5*o + 33 for o.
11
Solve 5089*t + 20655 = 4324*t for t.
-27
Solve -20*d + 52 + 174 = 46 for d.
9
Solve 29*m + 85837 - 85605 = 0 for m.
-8
Solve -9467*o + 9480*o - 260 = 0 for o.
20
Solve -160*u = -134*u - 237 + 55 for u.
7
Solve 648*y + 100*y - 27676 = 0 for y.
37
Solve 0 = -98*f + 41 + 452 - 3 for f.
5
Solve -63*w + 79 + 973 = -460 for w.
24
Solve -18*n - 7*n - 354 + 704 = 0 for n.
14
Solve 24*r - 14*r + 26 = 12*r for r.
13
Solve 2209 = 131*x - 153 - 258 for x.
20
Solve 4*r = 30*r + 7*r + 396 for r.
-12
Solve 0 = 225*x - 172*x - 583 for x.
11
Solve 0 = 61243*q - 61232*q + 187 for q.
-17
Solve 2341*h = -2344*h + 4681*h - 156 for h.
-39
Solve -2*n + 8*n = -25*n + 155 for n.
5
Solve 103*g - 150*g - 87 - 7 = 0 for g.
-2
Solve 6*k - 81 = -23*k + 209 for k.
10
Solve -17*c + 22*c = 19*c - 126 for c.
9
Solve -264*f - 19239 = -25047 for f.
22
Solve 5*m = 45*m - 24*m + 208 for m.
-13
Solve -2075 - 275 = -235*l for l.
10
Solve -3*h + 177 = 164*h - 324 for h.
3
Solve -193*b + 359*b - 184*b + 36 = 0 for b.
2
Solve -175*w = -344*w + | {
"pile_set_name": "DM Mathematics"
} |
culate 2 divided by -618107.
-2/618107
Calculate -173790 divided by -7.
173790/7
What is 5067 divided by -4?
-5067/4
Divide 753708 by 4.
188427
Calculate -11 divided by 9470.
-11/9470
Divide -1649658 by 3.
-549886
What is 256 divided by -36045?
-256/36045
What is -1003935 divided by 635?
-1581
Calculate 2491718 divided by -6.
-1245859/3
What is -544810 divided by 14?
-38915
Divide 169575 by -2975.
-57
Calculate -485433 divided by 3.
-161811
Divide -168 by 246.
-28/41
What is -75 divided by -8206?
75/8206
-2 divided by -4906
1/2453
What is -1538 divided by -229?
1538/229
Calculate 168 divided by 1922.
84/961
Calculate -161 divided by 151.
-161/151
Calculate 99294 divided by 494.
201
Divide 37660 by 34.
18830/17
Divide -2751 by -2751.
1
1244235 divided by 5
248847
What is 17094 divided by 231?
74
Calculate 195 divided by 1981.
195/1981
Divide -122550 by 19.
-6450
Calculate 4 divided by -150271.
-4/150271
416 divided by -106
-208/53
-14620 divided by -1
14620
What is -500641 divided by 1?
-500641
What is -3 divided by -10433?
3/10433
Calculate 4683235 divided by 936647.
5
Divide 6 by 16261.
6/16261
-1 divided by -3031
1/3031
Calculate -238740 divided by 346.
-690
What is -1694 divided by -465?
1694/465
-729174 divided by -243058
3
What is -1760 divided by 32?
-55
Divide 5 by -10455.
-1/2091
Calculate -5347 divided by -6.
5347/6
Calculate 56668 divided by 1828.
31
Divide -27084 by 183.
-148
Divide -1631144 by -39784.
41
What is 14222 divided by 7111?
2
Calculate 134398 divided by 902.
149
Calculate 162980 divided by -580.
-281
Calculate 2486 divided by 596.
1243/298
What is 853908 divided by -213477?
-4
959 divided by 80
959/80
What is -872788 divided by -124684?
7
What is 2782 divided by -40?
-1391/20
What is 88 divided by -127?
-88/127
-1132544 divided by -56
20224
Divide -117411 by -39137.
3
What is -306708 divided by 6?
-51118
-5 divided by 176399
-5/176399
Calculate 20642 divided by -20642.
-1
Calculate -536205 divided by 178735.
-3
Calculate 342290 divided by -13165.
-26
Divide -479 by -159.
479/159
Calculate 184896 divided by 92448.
2
0 divided by -85455
0
Divide 418335 by -1.
-418335
Calculate -5913 divided by -16.
5913/16
Divide -445554 by -445554.
1
-206016 divided by 888
-232
What is -9486 divided by -2?
4743
What is -1468885 divided by -293777?
5
-80353 divided by -13
6181
Calculate 257999 divided by -36857.
-7
Calculate -75979 divided by -4.
75979/4
Calculate -14475 divided by -10.
2895/2
What is 0 divided by 731771?
0
Calculate 119846 divided by 3866.
31
What is -2538 divided by -6?
423
Calculate -18 divided by -12443.
18/12443
Calculate 464 divided by -198.
-232/99
Divide -910530 by 2.
-455265
What is 210160 divided by 52540?
4
Calculate 4735 divided by 5.
947
Divide 30432 by -3804.
-8
Divide -51282 by 6.
-8547
-104524 divided by -52262
2
What is 5 divided by -586921?
-5/586921
Calculate -279 divided by 2476.
-279/2476
Divide -735436 by -13.
56572
1 divided by -402120
-1/402120
Calculate 21402 divided by -87.
-246
Divide -31302 by -6.
5217
Calculate -56683 divided by 5153.
-11
What is -426291 divided by -3?
142097
Divide -8 by -3343.
8/3343
-5917 divided by -7
5917/7
What is -2155 divided by -114?
2155/114
254250 divided by 6
42375
68765 divided by 6
68765/6
Calculate -37718 divided by 18859.
-2
-19936 divided by -112
178
Divide 21322 by 5.
21322/5
Calculate 21170 divided by 4.
10585/2
What is -27390 divided by 6?
-4565
0 divided by -13905
0
Divide 1937065 by 221.
8765
What is 2158951 divided by -1?
-2158951
Divide 2 by 33278.
1/16639
1017036 divided by -18834
-54
What is 2 divided by 84484?
1/42242
What is -5 divided by -71476?
5/71476
What is 37 divided by 62?
37/62
Divide -4 by -478064.
1/119516
Divide 6994410 by -3.
-2331470
Calculate -6362940 divided by 5.
-1272588
Calculate 6 divided by 241967.
6/241967
What is -83 divided by -48?
83/48
Divide 1 by -3799.
-1/3799
Divide 23460 by -10.
-2346
What is 915048 divided by 6?
152508
What is 778041 divided by 29?
26829
Calculate -27 divided by -753.
9/251
Divide 412 by 122.
206/61
What is 11860374 divided by -6?
-1976729
What is -370 divided by -5445?
74/1089
Divide 59400 by 30.
1980
Divide -57971 by -6.
57971/6
660858 divided by -1
-660858
Calculate 2852 divided by -600.
-713/150
-1 divided by -177164
1/177164
Divide 83430 by -9.
-9270
Divide 199300 by 1993.
100
Calculate -5 divided by 6263.
-5/6263
Divide -4315 by 76.
-4315/76
6 divided by -55970
-3/27985
96554 divided by 2099
46
Calculate -745844 divided by -5566.
134
Divide -6998 by 6998.
-1
What is -459380 divided by 206?
-2230
What is 9 divided by -3607?
-9/3607
Calculate 49 divided by 2233.
7/319
-13750 divided by 110
-125
Divide 53717 by 53717.
1
Divide 20057 by -647.
-31
Calculate 15180 divided by 1012.
15
2 divided by -112395
-2/112395
107576 divided by 5
107576/5
What is 58491 divided by 9?
6499
16849 divided by -4
-16849/4
Divide 428 by 477.
428/477
Divide 326 by 982.
163/491
Calculate -764550 divided by -75.
10194
-36038 divided by -37
974
What is -5977 divided by 2?
-5977/2
Divide -51 by -4116.
17/1372
-896720 divided by -448360
2
Calculate 2269424 divided by -58.
-39128
-4 divided by 170184
-1/42546
-167848 divided by 41962
-4
98007 divided by 14001
7
64200 divided by -856
-75
Divide -616911 by -205637.
3
-7 divided by -131879
7/131879
Calculate 5673762 divided by 6.
945627
-19075 divided by -25
763
What is 14964 divided by -4988?
-3
What is -56613380 divided by 5?
-11322676
Divide -629660 by 314830.
-2
-27365184 divided by -6
4560864
3411 divided by 3
1137
Calculate -42800 divided by -8560.
5
-148604 divided by 2
-74302
Divide -25583 by -25583.
1
Divide 10916 by -6.
-5458/3
What is -31 divided by -1858?
31/1858
What is 30113 divided by -2?
-30113/2
What is -4 divided by 4377?
-4/4377
Calculate -2727168 divided by 3392.
-804
What is 114140 divided by -11414?
-10
5455 divided by -8
-5455/8
What is -26 divided by 687?
-26/687
Divide -6712 by 4.
-1678
-37890 divided by -10
3789
Calculate -32950 divided by -1.
32950
1128 divided by 21
376/7
Calculate -40506 divided by -6751.
6
What is 10899237 divided by 1?
10899237
What is 20400 divided by 20?
1020
198 divided by -34
-99/17
-79352 divided by 13
-6104
What is -125467 divided by -37?
3391
Calculate -621712 divided by -728.
854
Calculate -1545060 divided by 330.
-4682
671925 divided by 2
671925/2
What is -393 divided by -312?
131/104
Divide -4 by -38866.
2/19433
Calculate 24686 divided by 4.
12343/2
Divide 15480 by 46.
7740/23
What is -903900 divided by 9039?
-100
Divide -340012 by 170006.
-2
Divide -782184 by 195546.
-4
Calculate -4 divided by 17254.
-2/8627
Calculate -209433 divided by -69811.
3
Calculate -51248 divided by 5.
-51248/5
14000 divided by -28
-500
What is -41760 divided by -720?
58
Calculate 2 divided by -2132755.
-2/2132755
Divide 624484 by -4.
-156121
What is 13780 divided by -53?
-260
-298206 divided by -6
49701
Calculate -1417708 divided by -3.
1417708/3
-1676768 divided by 13744
-122
Divide -463788 by 78.
-5946
472590 divided by -3
-157530
Calculate -126 divided by 6077.
-126/6077
-529075 divided by 25
-21163
What is -109 divided by -2202?
109/2202
Calculate -29150 divided by 10.
-2915
Calculate -41 divided by -6159.
41/6159
Calculate -4511538 divided by 54.
-83547
-2 divided by -895
2/895
Divide 2 by -27881.
-2/27881
Calculate -12550 divided by -24.
6275/12
Calculate 52 divided by -4.
-13
Calculate -1 divided by -11601.
1/11601
What is 69282 divided by 11547?
6
28888 divided by 6
14444/3
What is 2594352 divided by 864784?
3
What is -575330 divided by 5?
-115066
-3316146 divided by -1658073
2
What is -126 divided by 4251?
-42/1417
Divide 5250 by 14.
375
-10 divided by -175301
10/175301
What is 225180 divided by 37530?
6
Calculate 1256412 divided by 6.
209402
What is -685 divided by -1119?
685/1119
Calculate -643 divided by -65.
643/65
Calculate 4 divided by -1110.
-2/555
Calculate 3 divided by 1426.
3/1426
-615980 divided by -3242
190
Divide 809024 by 4.
202256
What is -1340376 divided by -446792?
3
Divide -3890205 by -33.
117885
-5 divided by -280297
5/280297
-151 divided by -195
151/195
-4568648 divided by -119
38392
Calculate -2492826 divided by 14.
-178059
Divide -178 by 164.
-89/82
-659178 divided by 313
-2106
Calculate 45 divided by -804.
-15/268 | {
"pile_set_name": "DM Mathematics"
} |
first derivative of -80*c**2 + 780. Give m(b(q)).
-640*q
Let j(r) = 380044*r. Let m(s) = s**2. Give m(j(n)).
144433441936*n**2
Let y(i) be the third derivative of i**4/8 - 6*i**2 + 15. Let a(h) = 22*h. What is a(y(j))?
66*j
Let x(h) = 8*h + 15. Let w(t) = -311*t**2. Determine w(x(r)).
-19904*r**2 - 74640*r - 69975
Let n(s) be the first derivative of 3*s**2 - 108. Let q(p) = -18*p. What is n(q(o))?
-108*o
Suppose 15*g - 12*g = 57. Let f(j) = -3*j + 19 - g. Let i(x) = 1 - 5*x - 1. Give f(i(w)).
15*w
Let z(c) = -12*c**2 - 20*c. Let f(x) = -5*x + 6. Give f(z(w)).
60*w**2 + 100*w + 6
Let z = 33 + -19. Let p(g) = -z + 14 + 4*g**2. Let c(j) be the second derivative of -j**4/4 + 20*j. Calculate p(c(d)).
36*d**4
Let o(d) = 4*d. Let j = 324 - 324. Let r(t) be the first derivative of j*t**2 + 1/3*t**3 + 0*t - 7. Determine o(r(q)).
4*q**2
Let m(a) = a**2. Let p(v) = -76*v + 6. Let f(h) = 4104*h - 323. Let j(y) = -6*f(y) - 323*p(y). What is j(m(s))?
-76*s**2
Let p(j) = 116099*j**2. Let s(a) = -2*a**2. Give s(p(y)).
-26957955602*y**4
Let s(i) = 6*i - 1. Let c(l) = -31*l + 5. Let y(j) = 3*c(j) + 15*s(j). Let d(k) = k**2 + 206*k. What is y(d(h))?
-3*h**2 - 618*h
Let v(k) = -k**2. Suppose -2*i + 3*j = 8, i + 0*j - 22 = -5*j. Let a(r) = -6*r**2 + 6*r**i - 11*r**2. Give v(a(w)).
-121*w**4
Let i(h) = 12*h**2. Let u(w) = -673*w - 3 + 38*w**2 + 673*w + 3. Determine i(u(f)).
17328*f**4
Let f(b) = 17342*b - 2. Let d(n) = 3*n**2. Give d(f(c)).
902234892*c**2 - 208104*c + 12
Let t(j) = 232*j - j**2 - 473*j + 241*j. Let o(i) be the third derivative of 5*i**4/6 - i**2. Give o(t(f)).
-20*f**2
Let y(u) = 10*u**2. Let p(f) be the third derivative of 7*f**5/30 - 154*f**2. Calculate y(p(m)).
1960*m**4
Let h(j) = 200*j - 4*j**2 - 200*j + 9*j**2. Let x = 5 - 9. Let r(b) = -3*b**2 - 4*b. Let q(a) = 2*a**2 + 3*a. Let k(f) = x*q(f) - 3*r(f). Give k(h(i)).
25*i**4
Let s be (78/9)/((-2)/21). Let k(c) = -780*c. Let r(v) = -26*v. Let l(x) = s*r(x) + 3*k(x). Let d(i) = i**2. Determine l(d(t)).
26*t**2
Let w(m) = -45*m**2 + 3*m. Let c(s) = 13*s. Give c(w(x)).
-585*x**2 + 39*x
Let f = 10 - 8. Suppose -f*w = -2*z, -2*w + 0*w = -4*z + 8. Let g(p) = 3 + 1 - z - 8*p**2. Let v(b) = -b. Determine g(v(n)).
-8*n**2
Let t(d) = d**2 + 7. Let v(z) = -3110*z. Give t(v(a)).
9672100*a**2 + 7
Let d(j) = -4*j**2 + j**2 + 2*j**2. Let h be 2 - 1194/(-27) - (-2)/(-9). Let v(b) = 97*b - h*b - 50*b. Calculate d(v(c)).
-c**2
Let n(q) be the second derivative of -3*q**3 - q**2 + 242*q. Let x(f) be the third derivative of f**4/12 - 2*f**2. Determine x(n(u)).
-36*u - 4
Let x(q) = 218*q + 233*q - 467*q. Let n(f) be the first derivative of f**2/2 - 18. What is n(x(p))?
-16*p
Let o(c) = -c - 51. Let q(k) = -138999 + 138999 + k**2 + 12*k**2. Determine q(o(g)).
13*g**2 + 1326*g + 33813
Let a(x) be the third derivative of -2*x**4/3 - x**2. Let v(s) = 7*s**2 + 11*s**2 - 16*s**2. Give a(v(y)).
-32*y**2
Let d(j) = 3*j**2 + 47. Let n(r) = -49*r. Give d(n(t)).
7203*t**2 + 47
Let i(f) = -2*f**2. Let g(x) = -3118 + 287*x + 3118. What is i(g(n))?
-164738*n**2
Let m(k) = -3*k - 5. Let z(j) = 4*j + 6. Let q = -24 + 29. Let f(c) = q*z(c) + 6*m(c). Let i(a) = -9*a**2. Give f(i(l)).
-18*l**2
Let i(h) = 4*h - 5. Let v(k) = k + 0 - 3*k + 7 - 5. Let m(f) = 2*i(f) + 5*v(f). Let y(d) = -8*d. Determine y(m(a)).
16*a
Let a(w) = 71*w**2 - 5*w + 5. Let r(p) = 2166*p**2 - 152*p + 152. Let m(v) = 152*a(v) - 5*r(v). Let h(j) = -13*j. What is h(m(u))?
494*u**2
Let n(q) = -3*q**2. Let r(c) = -1225*c**2. What is n(r(l))?
-4501875*l**4
Let p(t) = 343*t. Let v(y) = y - 15. Let k(i) = 5. Let g(u) = -3*k(u) - v(u). What is p(g(n))?
-343*n
Let m(n) = -8*n. Let i(k) = 22*k. Let w(c) = -15*c. Let g(s) = 5*i(s) + 8*w(s). Let p(j) = -9*j. Let d(z) = 6*g(z) - 7*p(z). What is d(m(o))?
-24*o
Let h(i) be the first derivative of -11*i**2/2 - 1. Let o(k) be the third derivative of k**5/10 + 2441*k**2. Give h(o(s)).
-66*s**2
Let v(a) = 14*a**2. Suppose 0 = -7*y + 2*y + 10. Let i(k) = -3*k + 2*k + y - 2. Determine i(v(l)).
-14*l**2
Let p(x) be the second derivative of 7*x**5/60 - 10*x**3/3 + 8*x. Let v(i) be the second derivative of p(i). Let m(d) = -d**2. Calculate v(m(a)).
-14*a**2
Let f(z) = z + 587. Let p(d) = -11*d - 78. Let y(m) = 5*m + 36. Let c(n) = -6*p(n) - 13*y(n). Calculate f(c(t)).
t + 587
Let d(a) = 48*a**2 - 24*a**2 - 20*a**2 + 5. Let y(w) = -7*w**2. Determine d(y(k)).
196*k**4 + 5
Let l(i) be the third derivative of 0*i + 1/60*i**5 - 6*i**2 + 0*i**3 + 0 + 0*i**4. Let a(c) = c. Calculate a(l(h)).
h**2
Let x(v) = -v. Let u(y) = -2*y - 1. Let p(d) = -81*d - 3. Let j(i) = -4*p(i) + 12*u(i). Calculate j(x(c)).
-300*c
Let w(x) = -1931*x. Let d(l) = -42*l**2. Calculate w(d(j)).
81102*j**2
Let w(o) = -2*o. Let t(j) be the first derivative of 8*j**3/3 - 229. What is t(w(l))?
32*l**2
Let k(w) be the first derivative of w**2/2 + 12. Let o(f) = -2*f**2 - 6*f**2 + f**2. Give o(k(x)).
-7*x**2
Let t = 69 + -67. Let s(o) = -8*o**2 + 9*o**2 + o**t + o**2. Let m(z) = 18*z. Give s(m(r)).
972*r**2
Let c(i) = 3*i**2 + 3*i. Let u(k) = 32028*k**2. Calculate c(u(y)).
3077378352*y**4 + 96084*y**2
Let r(q) = 3*q. Let i(o) be the first derivative of -o**4/2 - 12*o - 3. Let d(p) be the first derivative of i(p). Calculate r(d(x)).
-18*x**2
Let j(w) be the third derivative of -23*w**5/60 - 477*w**2. Let z(a) = -17*a**2. Determine z(j(k)).
-8993*k**4
Let u(o) = 9*o**2 + 27047*o - 27047*o. Let b(n) = -n**2 - 3*n + 3. Let p(j) = -j + 1. Let l(a) = b(a) - 3*p(a). What is l(u(g))?
-81*g**4
Let o(c) be the third derivative of c**4/12 + 89*c**2. Let l(f) = -133*f**2. Determine l(o(b)).
-532*b**2
Let g(v) = -10*v**2. Let k(q) = -2*q. Let n(x) = 12*x**2 - 32*x. Let z(u) = 48*k(u) - 3*n(u). What is z(g(l))?
-3600*l**4
Let q(l) = -8*l. Let p(x) = 245298*x**2. What is q(p(h))?
-1962384*h**2
Let o(t) = -23*t**2. Suppose 4*h = -5*b + 30, h + 3 = 2*b + 4. Let q(k) = 1 - b*k**2 + 3*k**2 - 1. Determine o(q(m)).
-23*m**4
Let o(h) = -4*h. Let s(i) = -473531*i**2. Calculate s(o(a)).
-7576496*a**2
Let f(v) = 2*v**2. Let t(g) be the second derivative of g**3/6 + 13*g. Calculate t(f(m)).
2*m**2
Let o(u) = 5*u**2. Let x(r) be the first derivative of -5*r**2 + 13. Let i(w) = 9*w. Let l(a) = -6*i(a) - 5*x(a). Calculate o(l(t)).
80*t**2
Let i(m) = m. Let q be (-352)/(-14) + (-9)/63. Let u(a) = q - 20*a - 25 - 32*a. Let w(j) = 39*i(j) + u(j). Let v(p) = p. Give w(v(z)).
-13*z
Let w(j) = -6*j. Let b(q) = 3315*q**2 + 2*q + 1. Give b(w(a)).
119340*a**2 - 12*a + 1
Let o(i) = -5*i + 1879. Let u(v) = -25*v. Give o(u(t)).
125*t + 1879
Let m(x) = x**2. Let q(n) be the third derivative of n**4/12 - 65*n**2. Determine m(q(d)).
4*d**2
Let d(x) = -2*x. Let t(p) = 622*p**2. Calculate d(t(z)).
-1244*z**2
Let o(h) be the first derivative of h**2 + 7*h - 42. Let b(r) = r**2. Give b(o(l)).
4*l**2 + 28*l + 49
Let p(k) = k. Let x = -27 + 29. Let w(v) = 7 - 8 + 57*v**x + 1. Calculate p(w(j)).
57*j**2
Let s(h) = -h. Let f(q) = -328*q + 329*q - 437*q**2 - 679*q**2 + 121*q**2. Determine f(s(m)).
-995*m**2 - m
Let y(b) = -b. Let a(h) = -35*h + 22*h + 15*h. Determine a(y(s)).
-2*s
Let f(d) = d. Let g(v) = -22*v + 202. Let q(l) = -14*l + 135. Let r(w) = -5*g(w) + 8*q(w). Determine f(r(o)).
-2*o + 70
Let x(y) = -y**2. Let d(l) = -l**2 - 7*l - 2. Let o be d(-5). Let m(n) = -o*n + 16*n + 11*n. Calculate x(m(s)).
-361*s**2
Let b(t) = 9*t**2 + t - 27. Let d(f) = -14*f. What is b(d(u))?
1764*u**2 - 14*u - 27
Let v(h) = -12*h. Let y(d) be the second derivative of -d**3/6 - 2*d. Give v(y(u)).
12*u
Let o(p) be the second derivative of p**3/6 - 9*p. Let x(v) = -8*v - 2. What is x(o(z))?
-8*z - 2
Let g(y) = -8*y. Let s(x) = 12*x - 3 + 0*x + 3. Let p(v) = 8*g(v) + 5*s(v). Let j(n) = -2. Let i(k) = k**2 - 3. Let a(m) = -2*i(m) + 3*j(m). What is a(p(r))?
-32*r**2
Let y(l) = 12*l**2. Let u(p) = -544*p**2. Give u(y(q)).
-78336*q**4
Let c(w) be the second derivative of 38*w + 0 + 1/2*w**4 + 0*w**2 + 0*w**3. Let o(a) be the third derivative of -a**4/24 - a**2. What is o(c(r))?
-6*r**2
Let p(k) = -360107*k**2. Let q(d) = -d. Give p(q(a)).
-360107*a**2
Let l(n) = 10*n**2 + 4*n + 8. Let b(w) = 10*w**2 + 3*w + 6. Let r(u) = -4*b(u) + 3*l(u). Let h(o) be the first derivative of 2*o**3/3 + 3. What is r(h(v))?
-40*v**4
Let h(n) = 5*n**2 - 167*n. Le | {
"pile_set_name": "DM Mathematics"
} |
second derivative of -350*d - d**3 - 5*d**i + 334*d - 22*d**3 wrt d?
-168*d
Differentiate 69 - 280*d - 7 + 30*d + 9 + 62 with respect to d.
-250
Let s(d) be the first derivative of -19*d**5 + 22*d**2 - 483. Find the second derivative of s(z) wrt z.
-1140*z**2
What is the second derivative of 2 + 188*h**4 - 4*h**2 + 22*h + 7*h**2 + 21*h - 3*h**2 wrt h?
2256*h**2
Let z(s) = 3*s + 1. Let p(i) = i - 2*i + 0*i. Let x = -241 + 245. Let m(g) = x*z(g) + 11*p(g). Differentiate m(q) wrt q.
1
Let b be (1 - 5)*65/(-26). What is the first derivative of -b - 1 - q + 10*q + 2*q wrt q?
11
Let l(w) be the first derivative of 153*w**4/2 - 191*w - 16. What is the derivative of l(v) wrt v?
918*v**2
Let m(v) be the third derivative of 12*v**2 + 0*v**4 + 13/6*v**3 + 0 + 0*v + 0*v**5 + 17/120*v**6. Find the first derivative of m(d) wrt d.
51*d**2
Let c(x) = 554*x**2 - 6*x + 203. Let v(k) = -554*k**2 + 8*k - 201. Let l(d) = 4*c(d) + 3*v(d). Find the first derivative of l(w) wrt w.
1108*w
Let u(m) = 27*m - 71. Let l(j) = -2*j - 2. Let t(b) = -4*l(b) + u(b). Differentiate t(i) wrt i.
35
Let z(g) = 5*g - 4. Let w(f) = f. Let k = 13 - 19. Let y(s) = k*w(s) - z(s). Differentiate y(l) with respect to l.
-11
Differentiate 11*w + 303 - 3*w + w - 3*w**2 - 14*w with respect to w.
-6*w - 5
Let f be 18 + 0*3/15. What is the first derivative of 34*h - f + 37 + 2 wrt h?
34
Let p(n) be the first derivative of -5*n**8/168 + n**4/3 + n**2 + 4. Let y(w) be the second derivative of p(w). Find the second derivative of y(k) wrt k.
-200*k**3
Find the first derivative of 288*h**3 + 69823*h - 186 - 69823*h wrt h.
864*h**2
Let u(n) = n**2 - 214*n - 12. Let k(m) = m**2 - m - 2. Let s(r) = -6*k(r) + u(r). What is the second derivative of s(q) wrt q?
-10
Let l(n) = -43*n**5 + 7*n - 1. Let q(m) = 42*m**5 - 7*m. Let o(z) = -6*l(z) - 5*q(z). What is the second derivative of o(y) wrt y?
960*y**3
Let v(m) = -6*m**4 + 4*m**3 - 7*m**2 + 9*m. Let o(p) = p**4 - p**3 + p**2 + p - 1. Let i(h) = -4*o(h) - v(h). Find the second derivative of i(b) wrt b.
24*b**2 + 6
Find the third derivative of -60*q**3 + 10*q**6 + 60*q**3 + 53*q**2 + 29*q**6 wrt q.
4680*q**3
Let v(j) = -26*j**4 + 2*j**3 + 239*j**2 - 4*j - 2. Let l(a) = a**4 - a**2 - 2*a - 1. Let x(h) = -2*l(h) + v(h). Find the third derivative of x(c) wrt c.
-672*c + 12
Let w(m) = 30*m**2 - 12. Let f(c) = 387*c - 13 + 29*c**2 - 387*c. Let y(i) = -5*f(i) + 4*w(i). What is the first derivative of y(g) wrt g?
-50*g
What is the second derivative of 170 - 329*u**2 + 13*u - 21*u - 165 wrt u?
-658
Let c(s) be the second derivative of 3*s**5/20 - 5*s**4/4 + 81*s**2 + 36*s. Find the first derivative of c(n) wrt n.
9*n**2 - 30*n
Let l be (-2)/(-13) + (-3534)/(-13). What is the third derivative of 14*k**2 - 34*k**2 - l*k**5 + 282*k**5 wrt k?
600*k**2
Let l(a) be the first derivative of -a**3/3 - 5*a**2/2 + 52*a + 17. Find the first derivative of l(j) wrt j.
-2*j - 5
What is the second derivative of -682*s**5 + 181*s**5 + 53*s + 136*s + 134*s - 60*s wrt s?
-10020*s**3
Let l(g) be the second derivative of g**6/30 + 7*g**5/10 - 95*g**4/4 - 241*g. Find the third derivative of l(m) wrt m.
24*m + 84
Let o(u) be the first derivative of 24*u**3 + 56*u**2 - 3*u - 341. What is the second derivative of o(r) wrt r?
144
Suppose -j + 16 = j. Let d(y) be the first derivative of y - 5*y**4 + 7 - 2*y**4 + j*y**4. What is the first derivative of d(x) wrt x?
12*x**2
Suppose -2*o + 6*o = 4. Suppose r = 6 - o. Find the second derivative of -10*b + 2*b**5 - b**r + 22*b wrt b.
20*b**3
Let x(y) be the third derivative of 0*y**6 + 0*y - 1/2*y**4 + 7*y**2 + 0 + 0*y**7 + 0*y**3 + 0*y**5 - 1/56*y**8. What is the second derivative of x(f) wrt f?
-120*f**3
Let v(u) = -u**3 - 2*u**2 + 4*u + 6. Let x be v(-3). What is the third derivative of -12*k**3 - 4*k**4 + 12*k**x - 16*k**2 - 8*k**4 wrt k?
-288*k
Let v(z) = 39*z**3 - 6*z**2 + 25*z. Let y(p) = -40*p**3 + 7*p**2 - 23*p. Let o(s) = 7*v(s) + 6*y(s). Find the second derivative of o(g) wrt g.
198*g
Let h(v) = 2*v**3 - 35*v**2 - 53*v + 13. Let z(a) = 4*a**3 - 52*a**2 - 79*a + 20. Let d(x) = -8*h(x) + 5*z(x). What is the second derivative of d(i) wrt i?
24*i + 40
Let v(m) be the second derivative of -239*m**6/30 - 57*m**3/2 - 252*m. What is the second derivative of v(u) wrt u?
-2868*u**2
Let r be (4/(-8))/(2*(-3)/12). Let f(d) = 14*d**5 + 10*d - 2. Let i(w) = w - 1. Let z(p) = r*f(p) - 2*i(p). Find the second derivative of z(g) wrt g.
280*g**3
Find the first derivative of 3*w - 92 + 3*w + 18*w**4 - 6*w**4 - 7*w**4 wrt w.
20*w**3 + 6
Let h(l) = -l + 1. Let i(c) = 4*c**2 - 5*c - 4. Let n(v) = 2*h(v) - i(v). Let x(y) = y**2 - y. Let m(q) = -n(q) - 3*x(q). Differentiate m(j) wrt j.
2*j
Suppose -55 = -4*a + 3*c, -2*a - 4*c + 30 = 3*a. What is the second derivative of a*y + 4*y**2 + 17*y + 15*y**2 wrt y?
38
What is the third derivative of 67*n**5 - n**2 - 124*n**5 + 2*n**3 + 71*n**5 - 2*n wrt n?
840*n**2 + 12
What is the second derivative of -260*k**2 + 56*k + 152*k**2 - k**4 + 135*k**2 wrt k?
-12*k**2 + 54
Let g(a) be the third derivative of 4*a**7/105 + 4*a**4/3 - a**3/6 + 16*a**2. Let s(k) be the first derivative of g(k). Differentiate s(p) with respect to p.
96*p**2
Find the second derivative of -2*a - 7 - 10 - 2355*a**3 + 2355*a**3 - 245*a**5 + 1 wrt a.
-4900*a**3
Let w(m) = 32*m - 53. Let b(d) = -35*d + 54. Let u(y) = -4*b(y) - 5*w(y). What is the first derivative of u(s) wrt s?
-20
Let n(j) = -j**3 - j**2 + j - 1. Let g(v) = -12*v**3 + 3*v**2 + 9*v - 87. Let z(i) = -g(i) + 9*n(i). Differentiate z(s) wrt s.
9*s**2 - 24*s
Let k(s) = 18*s - 15. Let u be k(10). What is the second derivative of z**2 + z**2 - u*z + 89*z + 92*z wrt z?
4
Let t(x) be the third derivative of 2*x**5/15 + x**4/24 + x**3/6 + 48*x**2. What is the second derivative of t(i) wrt i?
16
Find the second derivative of 211*v - 20*v**3 + 64*v**3 + 33622*v**2 - 33612*v**2 wrt v.
264*v + 20
What is the second derivative of -3*i + 9*i + i**2 - 8*i - 161*i**5 - 5*i + 5 wrt i?
-3220*i**3 + 2
Let r(t) = 343*t - 70. Let b(h) = -173*h + 35. Let c(l) = 13*b(l) + 6*r(l). Differentiate c(a) wrt a.
-191
Let c(s) = 4*s - 8. Let i = -1 + 6. Let b be c(i). What is the third derivative of 7*n**2 + b*n**4 - 14 + 4*n**2 + 14 wrt n?
288*n
Suppose -4*h + 3*s + 29 = 0, 6*h - s = 3*h + 18. What is the third derivative of 0*r**3 - h*r**2 + 27*r**2 - 15*r**3 wrt r?
-90
Let x(j) be the first derivative of -439*j**4/4 - 292*j**3/3 - 315. Find the third derivative of x(z) wrt z.
-2634
Let c(u) be the second derivative of 0*u**4 + 0*u**2 + 3*u + 0 - 1/15*u**6 + 0*u**5 + 7/6*u**3. What is the second derivative of c(v) wrt v?
-24*v**2
Suppose -2*d + 10 = r - 5, -d + 3*r = -11. Let g be (d - 8)/(4/(-2)). Find the second derivative of y**4 - 5*y - 4*y**4 + g*y**4 wrt y.
-36*y**2
Find the third derivative of -j**3 - 454*j + 178*j**6 + 454*j + j**3 + 106*j**2 wrt j.
21360*j**3
Let t(l) be the first derivative of -587*l**2/2 - 717*l + 607. Find the first derivative of t(f) wrt f.
-587
Let n(h) = 2*h - 1. Let z be (-23)/5 - 2/5. Let t be 3/(-2 + -1) + -1. Let x(a) = -3*a + 2. Let f(q) = t*x(q) + z*n(q). Differentiate f(v) wrt v.
-4
Let l(c) be the third derivative of 6*c**2 + 0*c + 2/15*c**5 + 2/5*c**6 + 6 + 0*c**3 + 0*c**4. Find the third derivative of l(x) wrt x.
288
Suppose g - 8 = -4*s - s, -2*g + 2 = -4*s. Find the third derivative of 296*f**3 + g*f**2 - 296*f**3 + 5*f**2 - 28*f**4 wrt f.
-672*f
Let d(y) = -44*y + 41. Let h(r) = 88*r - 83. Let s(v) = 9*d(v) + 4*h(v). What is the derivative of s(l) wrt l?
-44
Suppose -6 = -2*q - 2. Find the third derivative of -s**3 + 11*s + 2*s**q - 11*s + 7*s**3 wrt s.
36
Let p(s) be the second derivative of 3*s**6/5 + s**4/4 + 2*s**3 - s**2 + 4*s + 2. Find the second derivative of p(w) wrt w.
216*w**2 + 6
Let o be 2 + (-12)/(-2 + 1). Let k = o - 8. What is the third derivative of -10*w**2 - 3*w**k + 21*w**2 - 15*w**2 wrt w?
-360*w**3
Let p(r) = -5*r**2 + 30*r. Let q(z) = 3*z**2 + 64*z - 4*z - 7*z**2 - 7*z**2 + z**3. Let m(c) = -9*p(c) + 4*q(c). What is the second derivative of m(b) wrt b?
24*b + 2
Let r(l) be the second derivative of -56*l**5/5 - l**3/6 - 66*l**2 - 3*l + 53. Find the second derivative of r(y) wrt y.
-1344*y
Let v(o) = 3*o**2 + 4*o - 2. Let b be v(-2). Suppose -2* | {
"pile_set_name": "DM Mathematics"
} |
-12
Solve 81*x + 76*x - 161*x + 11*t - 219 = 0, -3*x - 3*t - 198 = 0 for x.
-63
Solve 3*v - 6747 = -0*k - 3*k - 13553 + 6773, v = 2*k + 19 for v.
-1
Solve -3*t = p + 177, t + 488480*p + 59 = 488481*p for t.
-59
Solve 4*d = 3132*v - 3133*v + 142, -3*d = -9*v - 87 for d.
35
Solve 4*p = 17*s - 95, -8801*p - 12*s + 69 = -8804*p for p.
-11
Solve -58*z + 61*x - 59*x - 1098 = 0, -4*x + 87 = -5*z for z.
-19
Solve 5*a + r - 11 = 0, -16*a = 16*a + 21*a - 51*a - 2*r + 10 for a.
1
Solve -16*q + 2359*x + 4 = 2355*x, 4*q = -x + 39 for q.
5
Solve -9*z - 4*s = -3*z + 106, -91*z + 86*z + 3*s + 72 = -8*z for z.
-5
Solve 13*n = 2*h + 8, 2*n = 1807*h - 1812*h - 20 for h.
-4
Solve -5*f + u = 6 - 34, -4*f - 1 = 5*u - 6 for f.
5
Solve 2*b + 5*d + 0*d = -6, b + 570*d + 13 = 565*d for b.
7
Solve 90286 = 4*j - x + 90227, 2*x + 172 - 39 = 9*j for j.
15
Solve -3*c + 5*u = -19, 20*c - 2*u - 2 = u - 27 for c.
-2
Solve 9363 = -9*k + 3*n + 9369, 3*n = 14*k - 1 for k.
-1
Solve -2*r = -2*c - 18, -4*c = -18*r + 13*r + 30 + 17 for r.
11
Solve -3*o - o = -o - 2*o, 4*i = -0*i + o - 100 for i.
-25
Solve -4*q - f - 18 = 0, 5*q + 39218*f = 39223*f - 35 for q.
-5
Solve 2*f + 2 = c, -257*f + 116*f - 588 = 4*c for f.
-4
Solve 14*b + 4*a + 42 = 0, 3*b + a = 2*a - 6*a - 9 for b.
-3
Solve -12*c + 40 = -7*c, 2*c - 21 = -o - 6 for o.
-1
Solve -2*r = -4*r + 4*u + 2, -480 = -27*u + 123*u for r.
-9
Solve -4*k + 110 = 4*a - 2 - 12, -3*a + 4*k - 145 = 0 for a.
-3
Solve -5*b + 2*j = 108, -4*b + 125*j = 27370 - 20003 for b.
2
Solve -2*y + 2*y - 5*o - 158 = -17*y, -32 = -68*y + 64*y - 4*o for y.
9
Solve -5*h + 1 = 3*n, 5*h + 325 - 318 = 3*n - 2*n for n.
2
Solve 20 = 5*q - 5*k + 105, 2*k + 215 = -4*q + 159 for q.
-15
Solve -j + 7 = 7*w + 4 - 3 + 7, 0 = 7*w + 2*j + 37 for w.
5
Solve 321*w - 322*w = -24*t - 105, -2*w - 2*t = -10 for w.
9
Solve -977124*j = -5*l - 977125*j - 230, -j + 46 = -l for l.
-46
Solve -1310*p + 1309*p + 102 = -4*t, -p = t + 28 for t.
-26
Solve 5*s + 24 = -180*d + 179*d - 8*s + 17*s + s, 2*d + 3*s = -9 for d.
-9
Solve 47321*c - 47324*c - 298 = 55*v, 3*v - 40 = 2*c for v.
-4
Solve -n + 51 = -2*i, 24*i - 55978*n = -55975*n - 621 for i.
-26
Solve -135*g + 41 - 1 = -145*g, 8*m - 3*m + 2*g = m + 20 for m.
7
Solve -3*u + 18 = 148328*k - 148304*k, -3*k = -3*u + 18 for k.
0
Solve 3*j - 2*j - 6*x + 311 = -2*x, -771 = -91*j - 4*x for j.
5
Solve -2*i = 5*z - 3*i + 78, -280*i + 1297 = 280*z - 281*i for z.
5
Solve -5*a + 34*t - 17 = -3*a + 37*t + 74, 178 = -4*a - 10*t for a.
-47
Solve 3*d + 5*g + 36 = 0, -439953*d + 439949*d - 2*g - 20 = 0 for d.
-2
Solve -13*f - 2*f + 5*d = -0*d - 90, -3*f - 20 = d + 19 - 51 for f.
5
Solve 142*p - 234*o + 231*o = 169, -3*p - 2*o - 15 = 0 for p.
1
Solve -1139*h + 1145*h - 4*x - 46 = 0, 3*h - 5*x - 8 = 0 for h.
11
Solve 12*v = -5*u - 2 + 18, -23 = -v + 5*u for v.
3
Solve -60759*h - 104*l - 124 = -60764*h, -h - 4*l = 0 for h.
4
Solve 0 = 2*v - 2*g - g - 67, 4*v + 31*g = -v + 6*v - 4 for v.
35
Solve 782 = -11*n + 10*n - 5*l + 757, -53*n - l = 5 for n.
0
Solve -r - 119 = 5*b - 3*r, 44 = b - 5*r + 43 + 34 for b.
-23
Solve 11*w - 627*u = -622*u + 250, 0 = 4*w + 2*u - 110 for w.
25
Solve -2*q = -2*u + 4, -3*u - 2*q + 56*q - 30*q - 28*q = 8 for u.
0
Solve -154622977*z + 16*f = -154622975*z + 106, -2*z + f - 1 = 0 for z.
3
Solve -2*r + 2*m - m + 1038 - 2051 = -976, 0 = -118*r + 4*m - 2348 for r.
-20
Solve 12171*r = 12174*r + x - 51, 4*x - 68 = -4*r for r.
17
Solve 11 = i - 4*f, 5*f - 787 + 1574 - 773 = i for i.
-1
Solve -4*g + 5*c + 32 = 0, 4*g = -2*c - 2711 + 2715 for g.
3
Solve 2*x = 3*j - 41, 10724*j = 4*x + 10722*j + 14 for x.
5
Solve 4111*h - 2*q + 54 - 51 = 4114*h, -3*q + 6 = 5*h for h.
3
Solve -4789*h = -2*g - 4792*h + 15, -3066 = -1026*g + 4*h for g.
3
Solve 2*c - 5*k = -1 + 6, -159*c = -156*c - 5*k + 5 for c.
-10
Solve 3*h + 64045*s + 126 = 64041*s, 5*h + s = -210 for h.
-42
Solve 283*x - 278*x - 15*j + 30 = 0, -x + 7 = j + 2 - 5 for x.
6
Solve o + 65*w = -717, 4*o + 51 = -3*w + 4*w + 54 for o.
-2
Solve 4*h = -3*a + 94, 198897*h - 198898*h + 19 = 3*a for a.
-2
Solve -75 = -15*w, -85*b = 78*b + 77*b - 235*b - w - 75 for b.
16
Solve -9*n - 38 = -4*g - 3*n - 4*n, -39 = 3*g - 15*n for g.
12
Solve 4*j - 2637 = -4*n - 2661, 8*j - 12 = 2*n for n.
-6
Solve -2*z + 20 = 5*q + 3*z, -4*z = -4*q + 2*q + 8 for q.
4
Solve 2*t - 20 = y, 5*y + 39 = 3*t - 48 + 43 for y.
-4
Solve -5*p = 2*t - 137, -369*t + 53*p - 41 = -365*t for t.
56
Solve -188 = -15*k - 13*k + 24*k + 4*x, -4*k + 3*x = -138 for k.
-3
Solve 2*d - 8 = -b - 0*d, -2*d - 753 = -763 for b.
-2
Solve -4 = j - 2*k, 64*k - 24*k + 8 = -2*j + 34*k for j.
-4
Solve -61 = -7*d + 72*m - 76*m, d + 3*m - 16 = 0 for d.
7
Solve r + 419 = -4*u + 411, 3*u + 13 = -r for u.
5
Solve u + 6*w + 3666 - 3365 = 0, u + 403 = -8*w for u.
5
Solve 288 = 2*n + 2*w + 320, -4*w - 4 = -n for n.
-12
Solve -30372*o + 3 = -30368*o + 3*i, 4*i = 4*o + 32 for o.
-3
Solve -v + 44*c - 657 = v + 100*c - 49*c, -2*v - 4098 = 44*c for v.
-3
Solve 4*z - 358*r + 316 = -350*r, 2*z + 3*r = 122 for z.
1
Solve 12*h = 5*v + 159, -230020*v = -230023*v + 4*h - 57 for v.
-3
Solve 11*o = -3*o + w - 73 - 26 - 261, 0 = 3*o - 3*w + 66 for o.
-26
Solve 14690*t - 7346*t - 7345*t - 15 = -2*q - 6, -58*q = -3*t - 391 for t.
5
Solve 3*i + 2*r - 5 = -40 + 3, 43 = -8*r - 37 for i.
-4
Solve 10*n + 14*m = -599 + 675, -17 = -4*m + 19 for n.
-5
Solve 0 = o - 15*o + 9*o + o + 24, 14*o - 69 = -5*j for j.
-3
Solve 4*q - 63 = 3*a, -61 = 46*a - 41*a - 22*q + 19*q for a.
-5
Solve 8*j - 5*t = -295, -2260*j + 2259*j + 46 = t for j.
-5
Solve -k = 3*k - 101*f + 221, -34*k + 33 = -35*k + 3*f for k.
-30
Solve 3*n = -5*y + 15, -6*n - 2759 + 2799 = 2*n - 2*y for n.
5
Solve 3*a + 393*c = 388*c + 29, 5*c - 65 = -15*a for a.
3
Solve 4*x + 5990 = -2*l + 6184, -3*x = 3*l - 138 for l.
-5
Solve 13*f = -5*d - 2, -1679*f = 4*d - 1676*f + 9 for d.
-3
Solve -4*b - 3*z = 21, 0*b + 19*b + 0*z = 5*z + 35 for b.
0
Solve -p + 0*p = 3*r, 0 = 2273*p - 2274*p - 2*r + r for p.
0
Solve 14*l + 2*v = -0*l + 8, -15*v + 11*v = -14*l - 58 for l.
-1
Solve -4*y + 492 = 4*j, -222*y = -435*y + 218*y - j + 105 for y.
3
Solve 23864*d + g + 25 = 23868*d, -3*d + 35 = -4*g for d.
5
Solve 0 = -3*b + 2*b + 1533 - 1532, 6*y + 5 = -b for y.
-1
Solve 2*a + 2*v - 40 = -16, 0 = 4*a + 8*v - 80 for a.
4
Solve 0 = -2*r - 2*s + 2, 5*r = 5*r - 6*s + s + 5 for r.
0
Solve 5*l - 101 = -4*f, 1595*l = 7*f - 1587*l + 3180*l + 6 for f.
4
Solve 6*h - 13*h - 35 = -5*p - 5*h, 36*h - 7 = 5*p - 42 for p.
7
Solve 5558*n + 2*o = 5548*n + 30, -30 = -3*o for n.
1
Solve -2834*i - 4*o = -2837*i + 38, -o = 5*i + 4*o - 5 for i.
6
Solve -176 = 4*b + 6*l - 0*l, 0 = 5*b + 2*l + 82 - 27 for b.
1
Solve -3*n - 9 = -5*c, 3*c = -n + 2793 - 2796 for c.
0
Solve -2*w - 47 + 95 = 48, 4*r + 24 = 263*w for r.
-6
Solve 3890*h - 3*a - 1 = 3888*h, -4*a = -h - 2 for h.
2
Solve -3*a - 2*u - 17 = 0, 15*a + 4*u + 76 = -32*a + 55*a for a.
3
Solve 5*t + 0*t - 15*t = -2*h - 3*t + 79, 5*h - 2*t - 37 - 21 = 0 for h.
8
Solve -10 = -z, -4*g + 15*z - 53 - 44 - 68 = -3 for g.
-3
Solve 213*a - 108*a - 8*q + 19*q = 103*a - 47, 0 = -3*a + q - 53 for a.
-18
Solve 2*r - 206000584 + 206000596 = -2*s, -4*s - 3 = r for s.
1
Solve -834*a - 5*p + 14 = -836*a, 169*a = -p - 1183 for a.
-7
Solve 1076*w - 3*x + 90 = 1075*w, 98 = -19*w + 5*x for w.
3
Solve 27 = m + 100*z - 138*z, -5*m + z - 54 = 0 for m.
-11
Solve 4*w - 2*r = -0*r - 22, 0 = 244*w - 246*w - 81*r + 85*r + 4 for w.
-8
Solve -2*w - 4*h = -54, -194*w = -103*w - 90*w - 9*h + 94 for w.
5
Solve -4*u + 6 = l, -340 = -14*u - l - 344 for u.
-1
Solve 14*f - 1878 + 1027 = 4*n - 991, -4*f - n = 40 for f.
-10
Solve y + 0*y + 32 = 4*u, 17385*u - 76 = 17381*u - 10*y for u.
9
Solve -2960*u = -2963*u - 3, 37 = -4*r - 5*u for r.
-8
Solve v - 38 = 2*r, 2209*v - 83 = 2214*v + 3*r for v.
-4
Solve -m + 5*d = -18, -29*d + 13 + 7 = -33*d + 4 for m.
-2
Solve 3*i = -3, -8*m - 46*m + i = -57*m - 4 for m.
-1
Solve 165*z - 163*z = -3*f + 32, 8*f - 3*f - 68 = 4*z for z.
-2
Solve 0 = -2*q + 4, -65*q + 24*q = 6*u - 43*q + 40 for u.
-6
Solve 32*l + 28*l + 3*v + v = 50*l + 38, -2 = -v for l.
3
Solve v = -3*g + 13, 27*v = 163*g - 160*g - 69 for v.
-2
Solve 207 = 238*u - 236*u + 23*l, -10*u + 4*l - 45 = -12*u - l for u.
0
Solve -5*p + 3*u - 8 = -26, -3*p - 20*u + 7 = -19*u - | {
"pile_set_name": "DM Mathematics"
} |
) 1983
a
What is the fourth smallest value in 1/2, 195, 16, -4, 0.03?
16
Which is the second biggest value? (a) 6 (b) -1/2 (c) 0.3 (d) 4 (e) -1/65
d
Which is the biggest value? (a) -5 (b) 8 (c) 2/37 (d) 0.3 (e) 3/5 (f) 1/3
b
Which is the second biggest value? (a) 10 (b) -63 (c) 4 (d) -0.02
c
Which is the biggest value? (a) 4 (b) 0.9 (c) 0 (d) -286
a
Which is the second biggest value? (a) -5 (b) 4226 (c) 6
c
What is the third biggest value in 2, -5, 5, -19626?
-5
What is the biggest value in 4, 42, -0.2, 38, -2?
42
Which is the second smallest value? (a) -9 (b) 1.1 (c) 0 (d) -234
a
Which is the fourth biggest value? (a) -0.0445 (b) -10 (c) 8 (d) -4/5
b
Which is the second biggest value? (a) -1.332 (b) -0.4 (c) 3 (d) -89
b
What is the smallest value in -3.981, -4/5, -2?
-3.981
What is the second smallest value in 4, 1/5, 17, 0.17, -4, 0.5?
0.17
What is the second smallest value in -2, -0.08, 3, -3, 1.1, -0.5?
-2
Which is the third biggest value? (a) 0.1646 (b) -3 (c) -1.16
b
What is the second biggest value in 4/7, -15/8, -0.094, 0.2?
0.2
Which is the third biggest value? (a) -10 (b) 1.174 (c) 0.3
a
Which is the biggest value? (a) 0 (b) -0.1 (c) 0.01 (d) 0.052
d
What is the fifth smallest value in -1.1, 0.3, 43, -1/9, -1?
43
What is the smallest value in 8, 5, -1017?
-1017
What is the biggest value in 15.677, -2/7, -2/29?
15.677
What is the fourth smallest value in 0.4, -0.644, -2/7, -2, 2/7, -1/7?
-1/7
Which is the third smallest value? (a) -86 (b) 19 (c) 1/4 (d) -0.2
c
What is the sixth biggest value in -3, 1/5, -12.8, 264, 3/4, 5?
-12.8
Which is the third smallest value? (a) -60 (b) 1 (c) 14/23 (d) -0.2
c
What is the smallest value in 9, 5, -0.04, -1/78?
-0.04
Which is the fifth biggest value? (a) -1/76 (b) -62 (c) -4/7 (d) -0.1 (e) 3
b
Which is the fifth smallest value? (a) -2 (b) -3/40 (c) -1 (d) -0.6 (e) 6
e
Which is the second smallest value? (a) 1.6 (b) 27 (c) -7 (d) -2/7
d
What is the smallest value in 0.1, 5668688, 0?
0
What is the second biggest value in 3, 0.2, -23/9, -5, 0.3, -3?
0.3
What is the third biggest value in 2/17, -0.06, 152, 3, -2?
2/17
What is the third biggest value in 10, -46, -7.7?
-46
What is the sixth biggest value in -1, 765, -0.25, -3/4, 2, 0.1?
-1
What is the fourth smallest value in -0.5, 4/707, -3/4, 0.09?
0.09
What is the second biggest value in -1, 16/9, -0.5, -51?
-0.5
What is the sixth smallest value in -2/3, -2/7, -0.033, -0.2, -649, -1/2?
-0.033
What is the fourth biggest value in -3, -0.5, 0.18, -1788?
-1788
What is the third smallest value in 0.2, 108, -1/15, -3, 2/13?
2/13
What is the second smallest value in 1725, -2, 2, 1/5?
1/5
Which is the third biggest value? (a) 3 (b) -8/7 (c) 2 (d) -1131 (e) -0.1
e
What is the biggest value in 3/13, -2, -1819?
3/13
Which is the second smallest value? (a) -34 (b) -2 (c) -68.2 (d) 10
a
What is the fourth smallest value in 8/131, -11, 0, 17?
17
Which is the third biggest value? (a) -4 (b) -0.3 (c) 0.14556 (d) -0.1
b
Which is the third smallest value? (a) -2/11 (b) 3/46 (c) 9.88
c
Which is the fifth biggest value? (a) 0.14 (b) -0.1 (c) -1 (d) 4 (e) -0.5 (f) -7
c
Which is the biggest value? (a) -4/3 (b) 0 (c) -3/22 (d) -0.4 (e) -640
b
What is the fourth smallest value in -0.5, 5, -3, 0.332?
5
Which is the third smallest value? (a) -101 (b) 2/9 (c) -11/4 (d) -3
c
What is the second smallest value in -0.5, 2, 282?
2
What is the third biggest value in 3/7, -2.6, -4, 0.3?
-2.6
Which is the second smallest value? (a) -2 (b) -2/58755 (c) 1/7
b
What is the third smallest value in 60798, 5, 10, 0.2?
10
Which is the third smallest value? (a) -3 (b) -40809 (c) -2/7
c
Which is the fourth biggest value? (a) -2/47 (b) 13/29 (c) 2 (d) -2/7 (e) -2 (f) 0
a
Which is the second smallest value? (a) -26/45 (b) -2.3 (c) -8
b
What is the second biggest value in 0.05, -133, -13, -1/2?
-1/2
Which is the third biggest value? (a) -0.3 (b) 1/3 (c) -98 (d) 18
a
What is the fourth biggest value in -8, -1/10, 0.2, -10621?
-10621
Which is the second smallest value? (a) -2/1841 (b) 0 (c) -0.5 (d) 3/7 (e) -2 (f) -0.07
c
What is the sixth smallest value in -0.02, 0.3, -0.112, -0.2, 2/7, 3?
3
What is the third biggest value in 1, 328, 3, -2/19, 1/7, 0.03?
1
Which is the third biggest value? (a) 16 (b) 15 (c) 3/148
c
What is the second biggest value in -5, -6/11, 0.1, -0.4, 3, 2/4795?
0.1
What is the third smallest value in -0.5, -556, 60?
60
What is the second biggest value in 6/5, 1/3, 6, 3/10, -4/7, 4?
4
Which is the smallest value? (a) -8 (b) 56 (c) 15
a
Which is the second smallest value? (a) 0.1 (b) -6/5 (c) 3 (d) -7 (e) 0.2
b
Which is the biggest value? (a) 0.1 (b) 0.71 (c) 0.5 (d) -4
b
What is the third biggest value in -1449/2, -1/7, 5?
-1449/2
What is the second smallest value in 36, 0.5, -8.8?
0.5
What is the third biggest value in 5, -2/47, -1, 0.5, 0.3?
0.3
Which is the third smallest value? (a) 4 (b) -445 (c) -0.3 (d) 1/3
d
What is the second smallest value in -136, 0.3, -0.4, -2/19, 84?
-0.4
What is the biggest value in 0.5, 3/4, -5/4, -3, -3/7, 63?
63
Which is the second biggest value? (a) -5 (b) 3 (c) -118 (d) -2 (e) 56 (f) -0.4
b
What is the biggest value in 2/11, 12, 879?
879
What is the second smallest value in -3/2, -0.2, 0.2, -607, -2/5, 2/9?
-3/2
Which is the second smallest value? (a) -0.5 (b) -7/33531 (c) 0.5
b
Which is the third smallest value? (a) 108 (b) -0.1 (c) 1/4 (d) 1/7
c
What is the fifth smallest value in -6, 1/2, -27, 0.2, 0.12?
1/2
What is the fifth smallest value in -3, 4, -0.7, 4.561, 0.04, 0.5?
4
What is the second smallest value in 4/3, 4/5, 0.5, 0, -3, 1/19?
0
What is the third biggest value in -1/4, 0.0011, 91?
-1/4
Which is the second biggest value? (a) 0.5 (b) -4 (c) 4/5 (d) -3/11
a
What is the third smallest value in 238, 11/3, 0.2?
238
What is the smallest value in -1.1, 6, 2.4, 19, 0?
-1.1
Which is the second biggest value? (a) -5 (b) 4/7 (c) 0 (d) -33
c
What is the biggest value in 0, -31, 20, -5, 5?
20
What is the second smallest value in -0.087, -2/9, 2295, -0.1?
-0.1
What is the second biggest value in -5, 2, -1/93, -77?
-1/93
What is the second biggest value in 2/3, 40, 0, -2/7, -25?
2/3
Which is the second biggest value? (a) 3 (b) 0.188 (c) 4 (d) -7
a
What is the sixth biggest value in 0.1, 0.267, 5, -0.4, 0.2, 4?
-0.4
Which is the fourth smallest value? (a) -10 (b) -32 (c) 5/3 (d) -0.3
c
Which is the second biggest value? (a) -3 (b) 0.5 (c) 1/3 (d) -0.08 (e) 7 (f) -2/15
b
Which is the biggest value? (a) -744/11 (b) 1 (c) -1.6
b
Which is the biggest value? (a) 942 (b) -0.5 (c) 2/5
a
Which is the biggest value? (a) 1 (b) 0.75 (c) -13.1
a
What is the third smallest value in -0.3, 2, -62.3?
2
Which is the smallest value? (a) -20 (b) 0.5 (c) 16
a
What is the second smallest value in -1476, 1/3, -2/167, -2?
-2
Which is the fifth smallest value? (a) -2/3 (b) 2/109 (c) -1.75 (d) -0.14 (e) 1/9
e
What is the second biggest value in -5/4, -14, -1/65?
-5/4
What is the smallest value in 15, -0.2, 0.5, -0.10519?
-0.2
Which is the fifth smallest value? (a) -4 (b) 0.98 (c) 2 (d) 4 (e) 15
e
What is the third smallest value in -0.5, 2/7, 44259?
44259
What is the second biggest value in -1, -1152, -0.2, -14?
-1
What is the sixth biggest value in 1/3, 14, 13/6, -4, 5, 9?
-4
What is the smallest value in 0.1, -5, -152, -338, 0?
-338
What is the biggest value in 11/3, 0.051, 1/4, 14, 0.1?
14
What is the fourth smallest value in 4/5, -2/5, -0.224, 4, 0.2, 15?
4/5
Which is the smallest value? (a) -2.4 (b) -2/9 (c) -1/4 (d) -4 (e) -0.3 (f) 59
d
What is the fourth biggest value in 5, -59/42, -4, 2/5?
-4
What is the second smallest value in -26, -2/3, -3, -0.5, -5?
-5
What is the fourth biggest value in -5, 1.4, 1, -1/9, 0.002?
-1/9
What is the third biggest value in -0.439, -2/9, -7?
-7
What is the biggest value in 4, 0.1, -0.4, 1159, 0, -3?
1159
Which is the fourth biggest value? (a) 2542 (b) -5 (c) -1/5 (d) -1/2 (e) 3
d
Which is the third smallest value? (a) -1.4 (b) 137/4 (c) -3/14
b
Which is the third smallest value? (a) -48/11 (b) -0.11 (c) -0.122
b
Whi | {
"pile_set_name": "DM Mathematics"
} |
re between 7:32 AM and 3:37 PM?
485
How many minutes are there between 4:34 AM and 10:33 AM?
359
What is 302 minutes after 2:39 PM?
7:41 PM
How many minutes are there between 2:28 PM and 3:21 PM?
53
What is 184 minutes before 5:22 AM?
2:18 AM
How many minutes are there between 3:35 AM and 10:06 AM?
391
How many minutes are there between 1:54 AM and 7:54 AM?
360
How many minutes are there between 2:17 PM and 3:09 PM?
52
How many minutes are there between 1:22 PM and 8:10 PM?
408
How many minutes are there between 11:39 PM and 9:36 AM?
597
What is 679 minutes before 3:42 AM?
4:23 PM
What is 664 minutes after 8:11 AM?
7:15 PM
How many minutes are there between 8:02 PM and 4:42 AM?
520
How many minutes are there between 4:57 PM and 6:06 PM?
69
How many minutes are there between 4:53 PM and 7:29 PM?
156
What is 204 minutes before 6:31 AM?
3:07 AM
How many minutes are there between 6:31 AM and 3:50 PM?
559
How many minutes are there between 2:25 PM and 1:32 AM?
667
What is 160 minutes before 2:22 PM?
11:42 AM
How many minutes are there between 6:34 PM and 10:40 PM?
246
How many minutes are there between 4:55 PM and 7:40 PM?
165
How many minutes are there between 12:32 PM and 7:57 PM?
445
What is 552 minutes before 10:09 PM?
12:57 PM
What is 429 minutes after 9:43 AM?
4:52 PM
How many minutes are there between 1:00 PM and 5:09 PM?
249
How many minutes are there between 11:40 AM and 4:32 PM?
292
How many minutes are there between 5:01 PM and 4:17 AM?
676
What is 401 minutes before 12:50 AM?
6:09 PM
How many minutes are there between 6:19 PM and 7:00 PM?
41
How many minutes are there between 8:41 PM and 4:04 AM?
443
What is 366 minutes before 6:35 AM?
12:29 AM
How many minutes are there between 1:24 PM and 9:11 PM?
467
How many minutes are there between 7:15 PM and 6:46 AM?
691
How many minutes are there between 7:18 AM and 7:03 PM?
705
What is 76 minutes after 6:05 PM?
7:21 PM
What is 279 minutes after 12:25 AM?
5:04 AM
What is 243 minutes after 11:36 AM?
3:39 PM
What is 539 minutes after 9:20 AM?
6:19 PM
How many minutes are there between 2:06 AM and 4:28 AM?
142
How many minutes are there between 12:11 AM and 5:52 AM?
341
What is 167 minutes before 6:10 PM?
3:23 PM
How many minutes are there between 9:29 PM and 2:56 AM?
327
What is 462 minutes after 11:46 AM?
7:28 PM
How many minutes are there between 1:29 AM and 5:25 AM?
236
What is 693 minutes after 5:56 AM?
5:29 PM
What is 466 minutes after 5:11 AM?
12:57 PM
How many minutes are there between 2:53 PM and 2:57 PM?
4
How many minutes are there between 4:27 PM and 6:46 PM?
139
How many minutes are there between 12:08 PM and 12:46 PM?
38
What is 154 minutes before 2:48 PM?
12:14 PM
How many minutes are there between 12:08 PM and 4:47 PM?
279
What is 217 minutes before 7:30 AM?
3:53 AM
What is 318 minutes before 12:31 PM?
7:13 AM
How many minutes are there between 3:45 AM and 6:17 AM?
152
How many minutes are there between 6:16 PM and 12:00 AM?
344
How many minutes are there between 1:53 PM and 6:02 PM?
249
What is 410 minutes before 6:27 PM?
11:37 AM
What is 372 minutes after 9:24 PM?
3:36 AM
How many minutes are there between 4:31 PM and 7:53 PM?
202
How many minutes are there between 10:09 AM and 3:05 PM?
296
What is 82 minutes after 10:21 AM?
11:43 AM
How many minutes are there between 12:36 PM and 8:52 PM?
496
What is 520 minutes after 1:30 PM?
10:10 PM
What is 474 minutes before 1:26 PM?
5:32 AM
How many minutes are there between 11:27 AM and 3:24 PM?
237
How many minutes are there between 9:07 PM and 10:57 PM?
110
What is 327 minutes before 10:48 AM?
5:21 AM
How many minutes are there between 5:10 PM and 11:44 PM?
394
How many minutes are there between 2:10 AM and 6:40 AM?
270
What is 429 minutes before 6:42 PM?
11:33 AM
What is 323 minutes after 7:06 PM?
12:29 AM
What is 4 minutes after 6:52 PM?
6:56 PM
How many minutes are there between 3:20 AM and 11:08 AM?
468
How many minutes are there between 5:37 PM and 4:29 AM?
652
What is 270 minutes after 11:22 AM?
3:52 PM
What is 430 minutes after 9:15 PM?
4:25 AM
How many minutes are there between 11:01 AM and 9:53 PM?
652
What is 670 minutes after 9:38 PM?
8:48 AM
How many minutes are there between 5:55 AM and 3:28 PM?
573
How many minutes are there between 4:04 PM and 6:37 PM?
153
What is 102 minutes after 4:50 PM?
6:32 PM
What is 54 minutes after 7:03 PM?
7:57 PM
What is 705 minutes before 7:11 PM?
7:26 AM
How many minutes are there between 5:38 PM and 8:49 PM?
191
How many minutes are there between 1:40 AM and 1:28 PM?
708
How many minutes are there between 7:45 PM and 4:48 AM?
543
What is 474 minutes before 8:33 AM?
12:39 AM
What is 670 minutes after 10:25 AM?
9:35 PM
How many minutes are there between 8:39 PM and 5:48 AM?
549
How many minutes are there between 3:40 AM and 5:22 AM?
102
How many minutes are there between 10:21 PM and 7:59 AM?
578
What is 360 minutes before 8:35 PM?
2:35 PM
What is 618 minutes before 6:32 AM?
8:14 PM
What is 623 minutes after 4:39 AM?
3:02 PM
How many minutes are there between 5:43 AM and 1:25 PM?
462
What is 243 minutes before 7:42 AM?
3:39 AM
How many minutes are there between 4:05 PM and 8:57 PM?
292
What is 709 minutes after 10:35 AM?
10:24 PM
What is 14 minutes after 3:12 PM?
3:26 PM
What is 547 minutes after 9:28 AM?
6:35 PM
What is 609 minutes before 2:02 AM?
3:53 PM
How many minutes are there between 9:00 AM and 1:51 PM?
291
How many minutes are there between 3:29 PM and 11:34 PM?
485
How many minutes are there between 8:45 PM and 7:45 AM?
660
How many minutes are there between 10:31 AM and 5:39 PM?
428
How many minutes are there between 2:46 PM and 6:29 PM?
223
How many minutes are there between 2:23 PM and 1:44 AM?
681
What is 592 minutes after 1:01 PM?
10:53 PM
How many minutes are there between 2:29 AM and 8:10 AM?
341
What is 419 minutes after 10:58 AM?
5:57 PM
How many minutes are there between 8:31 AM and 3:09 PM?
398
How many minutes are there between 8:19 AM and 8:01 PM?
702
How many minutes are there between 7:45 AM and 3:46 PM?
481
What is 597 minutes after 7:47 AM?
5:44 PM
What is 682 minutes before 7:08 AM?
7:46 PM
How many minutes are there between 9:17 PM and 9:06 AM?
709
What is 504 minutes after 11:47 PM?
8:11 AM
How many minutes are there between 5:24 AM and 5:23 PM?
719
What is 667 minutes after 8:30 PM?
7:37 AM
How many minutes are there between 12:15 AM and 2:16 AM?
121
What is 514 minutes before 6:03 AM?
9:29 PM
How many minutes are there between 10:14 AM and 1:36 PM?
202
What is 71 minutes after 8:47 PM?
9:58 PM
What is 709 minutes before 6:45 AM?
6:56 PM
How many minutes are there between 6:17 AM and 3:29 PM?
552
What is 458 minutes before 10:01 AM?
2:23 AM
What is 238 minutes after 8:11 AM?
12:09 PM
How many minutes are there between 8:01 AM and 9:10 AM?
69
How many minutes are there between 7:39 AM and 10:43 AM?
184
How many minutes are there between 4:18 PM and 1:08 AM?
530
What is 430 minutes before 4:13 PM?
9:03 AM
What is 631 minutes before 5:57 AM?
7:26 PM
How many minutes are there between 7:09 PM and 5:04 AM?
595
How many minutes are there between 6:08 PM and 8:54 PM?
166
What is 420 minutes before 5:21 AM?
10:21 PM
How many minutes are there between 1:24 AM and 6:47 AM?
323
What is 386 minutes before 12:51 AM?
6:25 PM
How many minutes are there between 8:33 PM and 11:09 PM?
156
How many minutes are there between 8:57 AM and 2:52 PM?
355
What is 597 minutes before 10:09 AM?
12:12 AM
How many minutes are there between 2:05 AM and 10:26 AM?
501
How many minutes are there between 1:16 AM and 8:24 AM?
428
How many minutes are there between 4:00 AM and 9:09 AM?
309
How many minutes are there between 5:22 PM and 2:08 AM?
526
What is 623 minutes after 12:04 PM?
10:27 PM
What is 135 minutes before 9:18 AM?
7:03 AM
How many minutes are there between 4:39 AM and 12:49 PM?
490
What is 405 minutes after 10:02 AM?
4:47 PM
What is 41 minutes after 3:33 AM?
4:14 AM
What is 691 minutes before 7:18 PM?
7:47 AM
How many minutes are there between 2:15 AM and 5:00 AM?
165
What is 127 minutes before 7:29 AM?
5:22 AM
How many minutes are there between 4:29 AM and 9:29 AM?
300
What is 127 minutes before 8:09 AM?
6:02 AM
What is 170 minutes before 2:36 AM?
11:46 PM
What is 317 minutes before | {
"pile_set_name": "DM Mathematics"
} |
-n, -x = 3*n + 7. Let b = 1292 + -895. Suppose -l - 74 = -h, 0*h = x*h + 4*l - b. Is h prime?
False
Let l(y) = 508*y**2 - y - 8. Is l(3) prime?
True
Suppose -2*g - 343 = 2*x - 1069, -5*g = -20. Is x composite?
False
Suppose -5*u + 2*u = -2*x - 22, 4*u + 3*x - 1 = 0. Suppose 17 = v + 2. Suppose -u*h + 3*h = -v. Is h composite?
True
Suppose -6*g + g + 290 = 0. Suppose 0 = v - 5*p - g, 2*p + 53 = v - 2*p. Is v a composite number?
True
Suppose 215 = z - m, 0*z + 215 = z + 4*m. Is z prime?
False
Suppose 2*i = -4*v + 24, 5*i + 17 + 1 = 3*v. Suppose -o + v = o. Let j = 22 - o. Is j a prime number?
True
Let y = -38 + -51. Let h = y + 126. Is h prime?
True
Let a(n) = -4*n - 29. Let z be a(-8). Let p(f) be the first derivative of 5*f**2/2 + 4*f - 1. Is p(z) a composite number?
False
Let h(n) = 6*n**3 - 2*n**2 - 4. Let j be h(3). Let f = j + 77. Is f prime?
False
Let u = -32 - -245. Is u a composite number?
True
Is 3/(-15)*0 + 1507 composite?
True
Let g(f) be the first derivative of f**3 - f**2/2 - 3*f + 4. Let h = 8 + -14. Is g(h) composite?
True
Let k = 14 + 14. Suppose 0 = -c - 3*z + 23, -5*c + 70 = 4*z + 10. Is (3 - 1)*k/c prime?
True
Let z(f) = -160*f**2 - 5*f + 2. Let r(s) = s - 1. Let m(u) = -3*r(u) - z(u). Is m(-1) composite?
True
Let p(z) = -17*z**3 - 3*z**2 - 2*z + 1. Let j be p(-2). Suppose -t + 0*t + 36 = d, -4*t - d + j = 0. Is t composite?
False
Suppose 4*p = 268 + 80. Let o = p - 49. Is o a composite number?
True
Suppose -4*a - 9 = -7*a. Suppose a*b - 62 - 49 = 0. Is b prime?
True
Let h be 13 - (1 + 1)/2. Suppose h = 5*s - 3. Is s prime?
True
Suppose 0 = j - 2, 2*t - 6*j + 2*j = 52. Suppose -v + 2*g = -107 - t, -v + g = -132. Is v composite?
False
Suppose 7*t = 3*t - 1596. Let w be t/(-4) - (-8)/32. Let i = -33 + w. Is i prime?
True
Suppose t = -z + 4, t = 6*t + 4*z - 15. Let u = 3 - -10. Is (u/3)/(t/(-21)) a prime number?
False
Let o(y) be the second derivative of y**4/6 + y**3 + y**2/2 - 2*y. Let x be o(-5). Is -3 + 3 + x + -2 a composite number?
False
Let v = 139 + -80. Is v prime?
True
Suppose 5*w = -4*f + 2241, 4*w = 8*w + 2*f - 1794. Is w a composite number?
False
Let y = 1010 + -511. Is y prime?
True
Let v be 4*(2 + -5)/(-6). Is (-155)/(-3) + v/(-3) a composite number?
True
Is (-6 - -9) + 212/2 a composite number?
False
Let t = 131 - 22. Is t a prime number?
True
Let a be ((-312)/18)/(4/(-6)). Let s = 60 - a. Is s a prime number?
False
Suppose 0 = 2*r + r - 93. Is r a composite number?
False
Let z be 0 + -1 + -7 + 2. Let t = -10 - z. Let d(s) = -s**2 - 8*s + 5. Is d(t) a prime number?
False
Is 1*(1 - 2)*-35 a prime number?
False
Is (2 + 7)/3 + 32 prime?
False
Let t(f) = -f**2 - 8*f + 14. Let y be t(-10). Let u(j) be the third derivative of j**5/20 - j**4/24 + 5*j**3/6 - j**2. Is u(y) a composite number?
True
Suppose 0 = -2*q - 5*c + 5 + 16, q - 2*c = 33. Is q composite?
False
Let u(h) = -404*h + 21. Is u(-5) prime?
False
Suppose 0 = 3*i - 2*v - 7497, -i + 2*v - 3*v = -2494. Is i a composite number?
True
Let s = -73 - -342. Is s prime?
True
Let y = 414 - -762. Suppose 4*q - 5*d - y - 772 = 0, -3*d = 0. Is q composite?
False
Suppose 4*r - w + 36 - 7 = 0, -2*w = -r - 16. Let l be (6/(-4))/((-1)/r). Is ((-30)/l + -2)*3 composite?
True
Suppose -5*d = -4*o - 15, 5*d + 2*o - 21 - 24 = 0. Suppose g + 4*g - 40 = 0. Let j = d + g. Is j a composite number?
True
Let u(y) = 4*y**2 - 2*y - 6. Let o be u(-4). Suppose -5*p = 4*v - 376 + 109, o = v + 2*p. Suppose -v = -0*m - 2*m. Is m a prime number?
False
Let b = 692 - 464. Suppose 2*t + 2*s = -2*t + 216, 0 = 4*t - 4*s - b. Is t prime?
False
Suppose -3*z = -1839 - 0. Is z composite?
False
Suppose 133 + 237 = 5*f. Is f a composite number?
True
Let z(p) = p - 1. Let u be z(1). Let h = u - -23. Let x = 34 - h. Is x prime?
True
Let m(y) = -y**3 - 12*y**2 - 7*y + 4. Let b(r) = -r**2 + 2*r + 3. Let c be b(-3). Let k be m(c). Suppose t = -3*t + k. Is t a prime number?
False
Let i be 1/(-2) + (-1)/(-2). Suppose 2*y = -i*y. Suppose -j - d + 17 = y, j - 2*d - 20 - 9 = 0. Is j a composite number?
True
Let y(w) = w**3 + 6*w**2 + w - 3. Is y(-3) a prime number?
False
Let h(b) be the second derivative of -28*b**3/3 - b**2/2 - 4*b. Is h(-1) composite?
True
Let s = 1 + -4. Let m be 3/((s/62)/(-3)). Suppose -i - 2*i + 3*o = -m, -4*i = -o - 257. Is i a prime number?
False
Let j(k) = -2*k - 2. Let a(g) = -g - 2. Suppose 9 = 5*h - 16, -5*h = -2*y - 19. Let t(m) = y*a(m) - 4*j(m). Is t(4) a prime number?
False
Suppose 0 = k - 12 + 8. Suppose 2*p = 5*m + 650, -k*p - 4*m = -9*m - 1320. Is p prime?
False
Let o = 17 + -12. Let s be (-4 + o)*(1 + -2). Is s + 3/((-3)/(-38)) a prime number?
True
Suppose -q - 4705 = -4*m, m - 951 - 204 = -4*q. Let y = m + -697. Suppose 5*g = 1263 - y. Is g composite?
False
Let l(i) = 487*i**2 + 6*i - 15. Is l(2) a prime number?
False
Suppose -3*m + 5*m - 114 = 0. Is m a composite number?
True
Let x(p) = p + 586. Is x(0) a composite number?
True
Let v(b) = -2*b - 1 - 5 + 1. Is v(-7) a composite number?
True
Is 66 - (6/(-3))/2 a prime number?
True
Let m = 0 - 2. Let k = m - 1. Is (-221)/k + 2/6 prime?
False
Let r(m) = -24*m - 11. Is r(-13) composite?
True
Is 42/(-252) - 22814/(-12) prime?
True
Let r be (-2)/4 + (-53)/(-2). Let b = -18 + r. Let w(k) = k**3 - 6*k**2 - 4*k + 1. Is w(b) prime?
True
Let v(g) = -635*g**3 - 6*g - 6. Let x(z) = -127*z**3 - z - 1. Let f(b) = -2*v(b) + 11*x(b). Is f(-1) a composite number?
False
Is (-2)/(-6) + (-11208)/(-18) + -4 a prime number?
True
Let w = -29 - 312. Let d = w + 496. Is d composite?
True
Suppose 0 = -3*a + 12, -4*q + q + 3*a + 1161 = 0. Is q a composite number?
True
Suppose 2*q + 1473 = 5*l, -4*l - 368 = 5*q - 1520. Is l prime?
True
Suppose -10*x + 3830 + 260 = 0. Is x a composite number?
False
Suppose -2*u = -4*r + 2, 2*r - 2 = -r + 2*u. Suppose r = 2*z - 48 + 10. Is z a composite number?
False
Let d(z) = -z**3 - 5*z**2 + z + 7. Let c be d(-5). Suppose -x + 5*h + 0*h + 20 = 0, -3*x - c*h - 8 = 0. Suppose x = 5*s - 154 + 59. Is s a composite number?
False
Let j = -620 - -936. Is (2/(-4))/((-2)/j) composite?
False
Is -4 - ((-4851)/3)/3 a prime number?
False
Suppose -4*c = -5*c. Suppose g = -c*g + 253. Let v = g + -66. Is v composite?
True
Let z(x) = -x**3 - x**2 + 2*x. Let k be z(-2). Suppose k = -0*c - 5*c + 305. Suppose m + c = 222. Is m composite?
True
Suppose r - 9 = 5*h, -2*r + 6 = -r - 2*h. Suppose 2*w + 4*i = r*w - 26, 2*w - 3*i - 22 = 0. Suppose 5*t + w*q = 810, -2*q - 2*q = 4. Is t prime?
True
Is (5 - 5) + (-339)/(-1) prime?
False
Let a(n) = n**2 - n + 4. Let k be a(0). Suppose -30 = -5*j + 2*o + 5, -5*j + k*o = -25. Is j a composite number?
True
Let o(w) = -9*w**2 + 5*w**3 - w**3 - 3*w**3 + 4*w + 7 - w. Let h be o(9). Is (h/8)/((-2)/(-16)) composite?
True
Let o(s) = 13 - 22 - 3*s + 10*s. Let l be o(7). Suppose -6*k + 2*k = -l. Is k a prime number?
False
Suppose -3*b = 4*k - 2044, -k - 2*b = -2*k + 522. Is k/8 + 21/28 a prime number?
False
Let b be (-2)/(-3)*9/(-6). Let y be (3 + b/1)/1. Suppose 0 = 3*d - 3*n - 216, 0 = -7*d + y*d - 5*n + 410. Is d a composite number?
True
Let f = 5 - 18. Suppose -4*x = -5*w + 48, -x - w + 13 = 4*w. Let s = x - f. Is s composite?
True
Let r = 13 - 61. Let o be (r/10 - -2)*-5. Let y = o - 7. Is y a composite number?
False
Suppose -190 = -3*v - 5*p, 75 = v + p + 3*p. Is v composite?
True
Let y = 501 - 134. Is y a composite number?
False
Let z(g) = -61*g. Let l be z(-9). Suppose y - 212 = l. Is y prime?
True
Suppose 16*q = 18*q - 62. Is q prime?
True
Suppose 2*h - 141 = 149. Is h a prime number?
False
Suppose 2*o = 2*y - 3594, -y + 967 + 846 = 3*o. Is y a prime number?
True
Let j(t) = -5*t**2 - 8*t + 7. Let f be j(-5). Let l be 0/2 - 0 - -191. Let y = l + f. Is y composite?
False
Let r(k) be the second derivative of -k**4/12 - k**3/6 + k**2/2 + k. Let u be r(-2). Let j(v) = -24*v + 1. Is j(u) a composite number?
True
Let z(m) = 4 - 4*m**2 - 3 + m**3 - 7*m**3. Is z(-3) a prime number?
True
Let a(x) = x**3 - 7*x**2 + 8*x + 1. Is a(6) composite?
False
Suppose -4*l + 0 = 4. Let w(v) = 9*v**2 + v. Let r be w(l). Is (10/8)/(1/r) prime?
False
Let l = -79 - -75. Let v be (-14)/((12/(-74))/3). Is l*v*1/(-4) prime?
False
Let k(o) = 354*o + 5. Is k(3) prime?
False
Let w(v) = 5*v**3 + 2*v + 2. Let b(f) = -11*f**3 - 4*f - | {
"pile_set_name": "DM Mathematics"
} |
}. What is prob of picking 3 r?
1/20
What is prob of picking 1 k and 1 q when two letters picked without replacement from {u: 1, i: 1, y: 2, q: 2, k: 1}?
2/21
Four letters picked without replacement from ggqggggg. Give prob of picking 1 q and 3 g.
1/2
Calculate prob of picking 1 p and 3 d when four letters picked without replacement from {d: 4, p: 2}.
8/15
Calculate prob of picking 3 i when three letters picked without replacement from {w: 2, i: 7, h: 2}.
7/33
Three letters picked without replacement from {p: 3, k: 3, i: 1}. What is prob of picking 3 p?
1/35
Calculate prob of picking 1 s, 1 f, and 2 t when four letters picked without replacement from {t: 4, f: 2, v: 2, s: 2}.
4/35
Four letters picked without replacement from plgplgpp. Give prob of picking 2 l and 2 p.
3/35
Three letters picked without replacement from eeeemememeeemeeemee. What is prob of picking 2 m and 1 e?
140/969
Four letters picked without replacement from gmygggsmgmmmmgymsm. Give prob of picking 3 g and 1 m.
8/153
Calculate prob of picking 1 i and 2 y when three letters picked without replacement from yiy.
1
Two letters picked without replacement from {v: 4, m: 2}. What is prob of picking 2 v?
2/5
Calculate prob of picking 1 j and 1 o when two letters picked without replacement from {j: 1, k: 5, g: 2, a: 1, o: 1}.
1/45
Two letters picked without replacement from peeeep. Give prob of picking 2 e.
2/5
Two letters picked without replacement from {f: 7, y: 10, r: 1}. What is prob of picking 1 y and 1 r?
10/153
Three letters picked without replacement from {k: 2, d: 10, c: 4, v: 4}. Give prob of picking 2 v and 1 c.
2/95
What is prob of picking 3 l and 1 k when four letters picked without replacement from {w: 6, k: 1, l: 11}?
11/204
What is prob of picking 2 b when two letters picked without replacement from {d: 17, b: 2}?
1/171
What is prob of picking 1 u and 1 d when two letters picked without replacement from oddddwwodoududd?
16/105
Two letters picked without replacement from {u: 3, p: 9}. What is prob of picking 2 p?
6/11
Calculate prob of picking 1 e and 1 j when two letters picked without replacement from hhejheh.
2/21
Calculate prob of picking 3 s when three letters picked without replacement from eeeseeesesseeeeseee.
10/969
Three letters picked without replacement from hqkukqk. Give prob of picking 1 k, 1 h, and 1 q.
6/35
What is prob of picking 3 i when three letters picked without replacement from {i: 5, h: 5, b: 1}?
2/33
Calculate prob of picking 2 d and 1 s when three letters picked without replacement from {s: 5, d: 15}.
35/76
Four letters picked without replacement from {f: 9, h: 2, z: 6}. What is prob of picking 1 f and 3 z?
9/119
What is prob of picking 2 a when two letters picked without replacement from {y: 3, t: 1, a: 4, r: 2}?
2/15
What is prob of picking 2 f when two letters picked without replacement from {g: 4, f: 2, k: 2, w: 2}?
1/45
Calculate prob of picking 1 w, 1 z, and 2 h when four letters picked without replacement from {u: 3, h: 4, w: 4, z: 3}.
72/1001
Calculate prob of picking 1 e and 1 n when two letters picked without replacement from nbkve.
1/10
Calculate prob of picking 1 c, 2 r, and 1 p when four letters picked without replacement from {p: 8, j: 1, r: 2, q: 3, c: 1, z: 1}.
2/455
Two letters picked without replacement from aazzvavavv. What is prob of picking 2 v?
2/15
Two letters picked without replacement from {x: 1, w: 4, m: 2, j: 2}. What is prob of picking 1 w and 1 j?
2/9
What is prob of picking 1 f and 1 j when two letters picked without replacement from {t: 3, f: 4, e: 1, y: 9, j: 1}?
4/153
Four letters picked without replacement from gvltggssg. What is prob of picking 1 t, 2 s, and 1 g?
2/63
What is prob of picking 2 g when two letters picked without replacement from gkkkkkgkkgkkgggkkkg?
7/57
Three letters picked without replacement from vcgzv. Give prob of picking 1 v, 1 g, and 1 c.
1/5
Four letters picked without replacement from mmfpfpmfpmpmmmf. Give prob of picking 4 f.
1/1365
Three letters picked without replacement from {a: 6, r: 2, g: 4, p: 1, w: 7}. What is prob of picking 1 g, 1 a, and 1 w?
14/95
What is prob of picking 3 p when three letters picked without replacement from {g: 8, p: 4, l: 8}?
1/285
What is prob of picking 1 z, 1 l, and 2 m when four letters picked without replacement from jclezemljmzlll?
10/1001
Two letters picked without replacement from ppupppppppupp. What is prob of picking 1 u and 1 p?
11/39
Two letters picked without replacement from {t: 4, g: 9, i: 3}. Give prob of picking 2 i.
1/40
Three letters picked without replacement from slmmojsjmojmuj. Give prob of picking 2 m and 1 l.
3/182
Four letters picked without replacement from iiieiiieiiiiie. What is prob of picking 2 i and 2 e?
15/91
Two letters picked without replacement from {v: 5, s: 2, l: 4, y: 2}. What is prob of picking 2 v?
5/39
Two letters picked without replacement from {a: 1, w: 2, t: 1, r: 2}. What is prob of picking 1 w and 1 a?
2/15
Four letters picked without replacement from {o: 5, q: 4, w: 3}. What is prob of picking 3 o and 1 q?
8/99
Two letters picked without replacement from extxnpaen. Give prob of picking 1 n and 1 p.
1/18
Three letters picked without replacement from ccccccccccqccccccccq. Give prob of picking 2 c and 1 q.
51/190
What is prob of picking 1 w, 1 x, and 1 l when three letters picked without replacement from {w: 4, x: 2, n: 8, a: 1, l: 4, y: 1}?
8/285
Calculate prob of picking 2 s when two letters picked without replacement from {s: 2, e: 1, f: 6, n: 1, y: 2}.
1/66
What is prob of picking 1 v and 1 y when two letters picked without replacement from {q: 2, v: 1, y: 2, c: 1}?
2/15
Calculate prob of picking 2 i when two letters picked without replacement from iiviviivvv.
2/9
Calculate prob of picking 2 p when two letters picked without replacement from czccppppcecccpzc.
1/12
Four letters picked without replacement from {u: 1, l: 2, p: 1, t: 1, y: 2, x: 2}. Give prob of picking 2 x, 1 t, and 1 p.
1/126
Four letters picked without replacement from bbyyvvbbvddyvyv. Give prob of picking 4 v.
1/273
Calculate prob of picking 1 f and 2 g when three letters picked without replacement from fffgfggfgffgg.
105/286
Three letters picked without replacement from hntaaandnataattaotad. What is prob of picking 1 n and 2 d?
1/380
Four letters picked without replacement from qisveqsi. What is prob of picking 1 e, 2 s, and 1 v?
1/70
Three letters picked without replacement from {d: 1, w: 1, f: 1, b: 1, j: 1}. What is prob of picking 1 d, 1 w, and 1 j?
1/10
Calculate prob of picking 1 r and 1 d when two letters picked without replacement from aqdraiqaqqqaaa.
1/91
What is prob of picking 2 m and 1 b when three letters picked without replacement from {m: 10, b: 1, x: 2, q: 4, h: 2}?
15/323
Calculate prob of picking 3 c when three letters picked without replacement from yccsuycysjscuusscyu.
10/969
Two letters picked without replacement from {w: 2, y: 10, b: 1, q: 1}. Give prob of picking 1 w and 1 b.
2/91
Four letters picked without replacement from {u: 3, v: 1, x: 3, f: 4, l: 5, c: 4}. Give prob of picking 2 u, 1 c, and 1 x.
12/1615
Three letters picked without replacement from {l: 1, u: 2, s: 1}. What is prob of picking 1 u and 2 l?
0
Two letters picked without replacement from nnqcocqcoc. Give prob of picking 1 o and 1 c.
8/45
Three letters picked without replacement from guuguguggguuug. Give prob of picking 1 g and 2 u.
21/52
Calculate prob of picking 4 m when four letters picked without replacement from jmwmmemjjwj.
1/330
What is prob of picking 3 a and 1 p when four letters picked without replacement from pppppppaapaappapppp?
35/969
Two letters picked without replacement from mmmmzmzzzmmzmzzmzz. What is prob of picking 2 z?
4/17
Four letters picked without replacement from feoowwowoiewwew. What is prob of picking 3 o and 1 f?
4/1365
Four letters picked without replacement from ddccgcddcc. Give prob of picking 2 d and 2 c.
2/7
What is prob of picking 2 n when two letters picked without replacement from {l: 3, x: 1, h: 1, p: 1, n: 8, i: 2}?
7/30
Calculate prob of picking 2 p and 1 o when three letters picked without replacement from hhophhddphopd.
3/143
Three letters picked without replacement from eepefwwwwpgppl. What is prob of picki | {
"pile_set_name": "DM Mathematics"
} |
o = -1.12 - -1.3. Let m = o - 0.1800038. Round m to six decimal places.
-0.000004
Let a = 89.9914 - 90. Round a to 3 dps.
-0.009
Let s = 0.4 - -0.2. Let h = 0.12 - s. Let p = h - 0.17. What is p rounded to 1 dp?
-0.7
Let w be (-187196)/(-8) - 3/(-6). Round w to the nearest 1000.
23000
Let k = -0.37 + 0.3678. What is k rounded to 3 decimal places?
-0.002
Suppose 0 = -s + 12471 + 17582. Let b = 48053 - s. Round b to the nearest ten thousand.
20000
Let v = 101.32856 + -97.328. Let y = v + -4. What is y rounded to 4 decimal places?
0.0006
Let m = 0 - 1. Let i(y) = -340001*y - 1. Let f be i(m). Round f to the nearest 100000.
300000
Let t(x) = x**3 + 3*x**2 - 11*x - 6. Let f be t(-7). Let b = 955 + f. What is b rounded to the nearest 100?
800
Let v = 85.0049 - 85. Round v to three dps.
0.005
Let y = -494.7544 - -495. Let n = 3.25 + -3. Let p = n - y. Round p to three dps.
0.004
Let s = -0.0390037 + 0.039. What is s rounded to 6 decimal places?
-0.000004
Let c(s) = -1604*s**3 + 11*s**2 - 4*s - 4. Let l be c(7). Suppose z = -4, -z - 1183815 = 5*g - 6332136. Let r = g + l. Round r to the nearest 100000.
500000
Let b = -26.45 - -27. Let l = 0.549868 - b. What is l rounded to five decimal places?
-0.00013
Let r be 12*6*600000/(-9). What is r rounded to the nearest one million?
-5000000
Let z = 47.999994 + -48. Round z to five dps.
-0.00001
Let t = -6.01 - -6. Let a = 0.03 + t. What is a rounded to one decimal place?
0
Let a = 1165997 + -2365997. Round a to the nearest one hundred thousand.
-1200000
Suppose -3*b + 0*u = u - 15999, -2*u + 10670 = 2*b. Let n(v) = 0*v + b*v**2 + 5*v - v. Let q be n(3). Round q to the nearest 10000.
50000
Let h = 0.26 + 1.44. Let z = 2.14 + 0.1. Let u = h - z. What is u rounded to one decimal place?
-0.5
Suppose -2*i = -0 - 32. Suppose n = -2*j + 12, -3*n + 12 = -2*j - i. Let u be (8/n)/((-1)/500). Round u to the nearest 1000.
0
Let s be (-26)/(-39)*(-360)/2. What is s rounded to the nearest 100?
-100
Let q = 1 - 3. Let h be q + (3 - (-2 - 1)). Suppose r = -t - 2*t - 5699998, -h*r - 9499992 = 5*t. What is t rounded to the nearest one million?
-2000000
Let q = 28533761234941 - 28533785211882.9999937. Let u = 23976937 + q. Let h = -5 - u. Round h to six decimal places.
-0.000006
Let o = 566 - 303. Let j be 1000*((-2 - -4) + o). Suppose -2*c = 3*c - j. Round c to the nearest 10000.
50000
Let y be (-26)/(102/105 + -1). Let f = y + 887. Let v be 10/(f/1800 + -1). What is v rounded to the nearest one thousand?
-6000
Let t(a) be the first derivative of 19*a**3/3 - 4*a**2 + 13*a - 3. Let d be t(-7). What is d rounded to the nearest one thousand?
1000
Let o = 170 - 170.00091. Round o to four decimal places.
-0.0009
Let f = 548310 + -228310. Round f to the nearest 100000.
300000
Suppose a + 3*u = -25080, 2*u + 125452 = -0*a - 5*a. Let p = a - -37180. Let o = p + -7388. What is o rounded to the nearest one thousand?
5000
Let z = 888 - 764.8. Let j = z - 13.2. Let w = j + -103.7. What is w rounded to zero decimal places?
6
Let b be (5 + -6)/(1 + 0). Let h be (-254 + (3 - b))*-3160. What is h rounded to the nearest one hundred thousand?
800000
Suppose 7*a = 3*a + 840000. What is a rounded to the nearest one hundred thousand?
200000
Suppose 3*f = 8*f + 1035. Let t be f/6 + (-3)/(-6). Let o = t + 71. Round o to the nearest 10.
40
Let y = -80.74 - -82. Round y to 1 decimal place.
1.3
Let d = -352.841 + 353. Round d to 1 dp.
0.2
Let l = -2952.446 + 2936.39853. Let x = l - -1.04792. Let j = 15 + x. Round j to 4 decimal places.
0.0005
Suppose 10 = -2*k - 2. Let d be -1 + 49 - (4 + k). What is d rounded to the nearest one hundred?
100
Let y = 10 + 24. Let g = 627 - 663.9. Let r = y + g. Round r to zero decimal places.
-3
Let b = -0.7378 - -0.0248. What is b rounded to 2 dps?
-0.71
Let g(d) = -d**3 - 2*d**2 + d - 2. Let w be g(-3). Suppose w*b = 5*t - 26395, -2*b + 2*t = -3*b - 6602. Round b to the nearest 1000.
-7000
Let j = -0.062 - -0.05. What is j rounded to two dps?
-0.01
Let k = 13422.91 + -13422.95999976. Let z = k + 0.05. What is z rounded to seven decimal places?
0.0000002
Suppose t + 3*l - 1397 = 2*l, 0 = -3*t - l + 4197. Round t to the nearest one thousand.
1000
Let y = 10.9657707 + -10.41577097. Let h = y - 0.55. Round h to seven dps.
-0.0000003
Let s(x) be the second derivative of -533333*x**3/6 + x**2/2 + 2*x. Let n be s(-3). Suppose -3*y = -2*y + n. What is y rounded to the nearest 1000000?
-2000000
Let q = -1.8 - -1.80003. What is q rounded to six dps?
0.00003
Suppose 0 = 5*a - 12 - 28. Let n(w) = 236*w + 8. Let u be n(a). Let b be u/21 + 6/(-21). What is b rounded to the nearest 10?
90
Let q = 38 + -53. Let w be (24/q)/(6/(-15)). Suppose b + w*b - 1500 = 0. Round b to the nearest 1000.
0
Let o = 430 - 272. Let s = -158.000079 + o. What is s rounded to five dps?
-0.00008
Let j = -3319 + 934. Let r = j - -2397.982. Let p = r + -13. What is p rounded to two decimal places?
-0.02
Let b = -0.211 - -0.2110777. What is b rounded to five decimal places?
0.00008
Let p = -0.886 - -0.026. Let d = p - -11.26. What is d rounded to zero decimal places?
10
Let t = 1.129 + -1.1289451. What is t rounded to 5 dps?
0.00005
Suppose -7 = -3*u - 1. Suppose -2*n = -i + u*i + 38, -35 = i + 5*n. What is i rounded to the nearest one hundred?
0
Let y(a) = 104003*a + 5. Let g(b) = 208007*b + 10. Let p(t) = 2*g(t) - 5*y(t). Let z be p(-5). Round z to the nearest one hundred thousand.
500000
Let m = 134410 + 45589. Let t(r) = 4 - 4 - 5 - m*r. Let o be t(5). What is o rounded to the nearest 100000?
-900000
Let x = 1.95 + -0.15. Let c = x - 1.80094. Round c to 4 dps.
-0.0009
Suppose -3*l + 4*m + 120 + 100 = 0, -4*m = 5*l - 388. Let a = l - 134. Round a to the nearest ten.
-60
Let c = -1135956 - 2274044. Round c to the nearest 100000.
-3400000
Let v = 2.017 - -2.781. Let s = -4.7 + v. What is s rounded to two decimal places?
0.1
Let i = 12.9999918 + -13. What is i rounded to 6 decimal places?
-0.000008
Let y(h) = h**2 - 2*h + 1. Let i be y(2). Let d be 31 + -1 + 2 + i. Round d to the nearest 10.
30
Let d = 217.6 - 183. Let s = 32 - d. What is s rounded to 0 decimal places?
-3
Suppose 0 = -q - 5*j - 30, 13 = -4*q + j - 128. Suppose 29 = u - 3*w, 0 = -u + 5*u + w - 51. Let a be q/u*50/1. Round a to the nearest 10.
-130
Let t = 228 - 227.999778. What is t rounded to five dps?
0.00022
Let k = 1475 + -1508.95. Let v = k + 35. Let s = -0.05 - v. Round s to the nearest integer.
-1
Let o = -14.93 - -15. Let d = o + -0.07001. Round d to five dps.
-0.00001
Let g = -67 + 66.99946. Round g to four decimal places.
-0.0005
Suppose 0*f = -2*f + 146. Let r = f + -51. What is r rounded to the nearest 10?
20
Let r = -22 + 22.058. Round r to 2 dps.
0.06
Suppose -8*a + 84000 = -4*a + j, -63000 = -3*a + 4*j. Round a to the nearest 10000.
20000
Suppose -2*v = 10, -c - 354 = 2*v + 3*v. What is c rounded to the nearest ten?
-330
Let i = 0.106 - -101.894. Let v = -180.988 + 78.85. Let p = v + i. Round p to 2 dps.
-0.14
Suppose -j = j - 1900000. What is j rounded to the nearest 100000?
1000000
Let g = -40.1204 + 0.0154. Let q = 2 + 38. Let i = g + q. Round i to 2 dps.
-0.11
Suppose 2*p = 7*p + 1000. Let f be 255/1*p/5. What is f rounded to the nearest one thousand?
-10000
Suppose 2*m + m + 23829 = 0. Let l = -3692 - m. Suppose -5*y = 3*z - 6965, -11221 + l = -5*y - 4*z. Round y to the nearest one hundred.
1400
Let o = -0.02 - 0.05. Let u = 0.07007 + o. What is u rounded to 5 dps?
0.00007
Let g = -55.5822 + 0.2022. Let c = -56 - g. Round c to one decimal place.
-0.6
Let i = 69.41 - 69. What is i rounded to one dp?
0.4
Let n = 7.6 - 7. Let l = 470825.4000048 - 470826. Let f = n + l. What is f rounded to 6 decimal places?
0.000005
Let c = -41.83 + 42. Round c to one decimal place.
0.2
Let q = 40123.967 - 40121.6069903. Let c = q - 2.36. What is c rounded to 6 decimal places?
0.00001
Let t = -8.9 - -9. Let c = -75.049984 + 74.95. Let o = t + c. What is o rounded to five dps?
0.00002
Suppose -32*m = -34*m + 4200000. What is m rounded to the nearest 1000000?
2000000
Let c(t) = 24*t**3 + t**2 + 2*t. Let j be 4/18 - 372/(-27). Suppose 2*l = -3*o, -3*l = -3*o + j + 1. Let y be c(o). Round y to the nearest 1000.
0
Let x = 6 - 3. Suppose -x*u = u - 22800. What is u rounded to the nearest 1000? | {
"pile_set_name": "DM Mathematics"
} |
of -f**2*h - 130632*f**2 + 1480*f*h + f + 13 wrt f?
-2*h - 261264
What is the second derivative of -72*c**4 + 4*c**3 + 23*c**2 - 2305952*c?
-864*c**2 + 24*c + 46
What is the second derivative of 2*a*p**2*z**2 + 26*a*p*z**2 - 2*a*p + 9753*a*z**2 - 8*p**2*z**2 + 11436*p**2*z wrt p?
4*a*z**2 - 16*z**2 + 22872*z
Differentiate -1061133*h + 1216460.
-1061133
Find the second derivative of -5*h**4 + 2051*h**3 + 2*h**2 - 8188*h - 8.
-60*h**2 + 12306*h + 4
Differentiate 13889*b**3*j*k - 6600*b**3 + 11*b*k - 2*j*k + 2*j wrt j.
13889*b**3*k - 2*k + 2
Find the third derivative of 23*d**4*o**2 + 750*d**4 + 5*d**3*o + 15*d**2*o**2 - 4326*d*o**2 wrt d.
552*d*o**2 + 18000*d + 30*o
Find the first derivative of 2601725*p*v - 840411*v wrt p.
2601725*v
What is the derivative of -165*k**2*m*t - 5*k**2*m - 16*k**2 + 49*k*m*t + 58*m wrt t?
-165*k**2*m + 49*k*m
Differentiate 3*m*u*w**2 + 3*m*u*w - 1164*m*u + 287*m*w**2 - 65*w**2 wrt u.
3*m*w**2 + 3*m*w - 1164*m
What is the third derivative of 363*j**6 + 1672*j**5 - 501350*j**2 wrt j?
43560*j**3 + 100320*j**2
What is the first derivative of -10*q**3 - 320*q**2 + q - 27745 wrt q?
-30*q**2 - 640*q + 1
Find the second derivative of -117808*m**2 - 7089*m.
-235616
Find the second derivative of 237001*b**2 + 51818*b + 2.
474002
What is the third derivative of 39875*a**3*c**3*i**2 - 23*a**2*i**2 + 8030*a**2 - c**3 wrt a?
239250*c**3*i**2
Find the second derivative of -456913*p**2 - 411260*p wrt p.
-913826
What is the first derivative of -1394023*c - 3039581?
-1394023
Find the second derivative of -2*k**5 - 3672*k**2*t - 13489*k*t - 2 wrt k.
-40*k**3 - 7344*t
Find the third derivative of 21*f**3*w**3 + f**3 - 7*f**2*w**3 - 237008*f**2*w**2 + 287*f*w**3 wrt w.
126*f**3 - 42*f**2 + 1722*f
What is the third derivative of 16069*s**3*z - 2*s**2 + 38*s - 5*z + 3 wrt s?
96414*z
What is the second derivative of c**2*i - 5361*c**2 - 29076*c*i - 2*i wrt c?
2*i - 10722
What is the derivative of -260934*y + 336926 wrt y?
-260934
Find the second derivative of 3*n**5 - 1167*n**4 - n**3 - n + 71986.
60*n**3 - 14004*n**2 - 6*n
Find the third derivative of -466058*q**3 + 5*q**2 + 538*q + 7 wrt q.
-2796348
What is the third derivative of 28203*v**3 + 1209*v**2 + 3?
169218
Find the second derivative of -26213*h**2 - 2*h + 135798 wrt h.
-52426
Differentiate 6566*h**3 + 8*h**2 + 1330817 wrt h.
19698*h**2 + 16*h
Differentiate -10*c*d*s**2*y - 2*c*d*y + 47*c*d - 98*d*s**2 + 3*d*s*y + 2*s**2 wrt c.
-10*d*s**2*y - 2*d*y + 47*d
Find the first derivative of 3*k**3*q**3 - 5991536*k**3 + 1476504*q**3 wrt q.
9*k**3*q**2 + 4429512*q**2
Find the third derivative of -1523*z**4 - 8*z**3 + 28*z**2 + z + 93.
-36552*z - 48
Find the second derivative of 4*g*l**3*z + 40*g*l**3 - 7*g*z**2 + 5122*l**3*z**2 - l**3*z - 2*l**2*z**2 wrt z.
-14*g + 10244*l**3 - 4*l**2
What is the third derivative of 2*f**3*h**3*w + f**3*h**2 + 49*f**3*h*k*w + 11*f**2*h**2*k*w - 2*f**2*w - f*h**2*k*w - 79391*h**3*k + 2*h**3*w + 5*h*k*w wrt h?
12*f**3*w - 476346*k + 12*w
What is the third derivative of 701257*u**4 - 16*u**2 + 7*u + 55?
16830168*u
Differentiate 780*g**3 + 27*g**2 - 366903 with respect to g.
2340*g**2 + 54*g
What is the first derivative of -2*t**4 - 1067*t*u**2 + 2*t + 3*u**2 + 3*u - 390 wrt t?
-8*t**3 - 1067*u**2 + 2
What is the third derivative of 5*p**2*t**4 - 3*p**2*t**2 - 2*p**2*t + 1157*p*t**6 - 247*p wrt t?
120*p**2*t + 138840*p*t**3
Find the second derivative of 3*c**3*g*i + 5*c**3*i - 33*c**2*g + c**2*i - 62*c*g*i + 3*c*i + 2*g*i + 2*i + 5 wrt c.
18*c*g*i + 30*c*i - 66*g + 2*i
Differentiate -231081*p*w**2 + 171100*w**2 with respect to p.
-231081*w**2
What is the third derivative of 42065*c**2*y**3 - 2893*c**2*y**2 + 7*c*y**4 + c*y**2 + c + y + 1 wrt y?
252390*c**2 + 168*c*y
Find the second derivative of 5*b**4*i + 37*b**3 - 2*b**2*i + 33*b**2 - 554*b*i - 24*b wrt b.
60*b**2*i + 222*b - 4*i + 66
Find the second derivative of 2548*b*j**3*t**2 - 2*b*j**3 + 29*b*j**2*t**2 + 31*b*j*t + b*t + 2*j**3*t + 64*j*t wrt t.
5096*b*j**3 + 58*b*j**2
What is the third derivative of 1414858*r**4 - r**3 - 6177*r**2 - 64?
33956592*r - 6
Find the first derivative of 231*c**3 + 23*c**2 + 5*c + 411455 wrt c.
693*c**2 + 46*c + 5
Find the second derivative of -5*y**5 + 941*y**4 + 10*y**3 - 451521*y.
-100*y**3 + 11292*y**2 + 60*y
Find the second derivative of 127195*x**2 - 526539*x.
254390
Differentiate -423*f**2 - 154*f + 305500 with respect to f.
-846*f - 154
What is the second derivative of -292994*b**3 + 2*b**2 - 2*b - 763390?
-1757964*b + 4
Find the second derivative of -56*q**4 + 12307*q**2 + 1464649*q.
-672*q**2 + 24614
Find the third derivative of -82*f*h**4 + 149*f*h - 260*h**4 - 2*h**2 + 3*h - 15 wrt h.
-1968*f*h - 6240*h
Differentiate -6*f**3*z**3 + 90980*f**3 + 2*z**3 - 8*z + 54250 wrt f.
-18*f**2*z**3 + 272940*f**2
Find the third derivative of -22539*a*n**3 + 2*a*n**2 - 2*a*n - n**5 - 103*n + 24 wrt n.
-135234*a - 60*n**2
Find the third derivative of -1351086*r**6 + r**4 - 1955582*r**2.
-162130320*r**3 + 24*r
What is the first derivative of -76864*c**4 - 5*c**2 - 617002 wrt c?
-307456*c**3 - 10*c
What is the second derivative of -2348*r**5 + 27*r**3*v + 28097*r + v wrt r?
-46960*r**3 + 162*r*v
What is the first derivative of -2760218*y - 3877270?
-2760218
What is the second derivative of 2917199*s**4 - s**2 + 3222562*s wrt s?
35006388*s**2 - 2
Find the second derivative of -804*d**2*r**3 - 20*d**2*r - 36*d**2 - 517*d - 351*r**3 wrt d.
-1608*r**3 - 40*r - 72
What is the second derivative of -349*g**2*h**2 - 810*g**2*h - 476*g*h - 2352*h**2 wrt h?
-698*g**2 - 4704
What is the third derivative of 115588*n**4 + 6*n**3 + 121751*n**2 + 5*n wrt n?
2774112*n + 36
Find the first derivative of -97*q**2 + 115*q + 51094 wrt q.
-194*q + 115
Find the second derivative of 598801*g**5 + 2*g**2 - 329*g + 378.
11976020*g**3 + 4
Find the second derivative of 4*j**2*n*r**2 + 21*j**2*n*r - j**2*n + j**2 + 8*j*n*r**2 - 1994*j*r**2 + 21*j + 3*n wrt r.
8*j**2*n + 16*j*n - 3988*j
What is the third derivative of 2*b*c*x**2 - 1290*b*x**3 - 3*b*x + 3*c*x**3 + 2*c + 263*x**2 wrt x?
-7740*b + 18*c
Differentiate -858500*f**4 + 1037094 with respect to f.
-3434000*f**3
What is the second derivative of 449287*v**2 + 1556082*v wrt v?
898574
Differentiate 18*n*u**4 + 1527*n*u**3 - 68274*n wrt u.
72*n*u**3 + 4581*n*u**2
What is the third derivative of -7389*p**4 + 170*p**3 + p**2 + 174733*p + 1?
-177336*p + 1020
Find the third derivative of 575*g**5 + g**4 + 26*g**3 + 2*g**2 + 21049 wrt g.
34500*g**2 + 24*g + 156
Find the third derivative of x**5 + 108*x**4 + 29*x**3 - 38149*x**2 wrt x.
60*x**2 + 2592*x + 174
Find the second derivative of -h**4*u**3 + 10354*h**4*u - 278*h + 22*u**3 wrt h.
-12*h**2*u**3 + 124248*h**2*u
What is the third derivative of 88718*g**3*z**2 + g**3*z + 6*g**3 - 163923*g**2*z**2 wrt g?
532308*z**2 + 6*z + 36
What is the first derivative of -6121618*t**3 - 4803825?
-18364854*t**2
Find the first derivative of 3*i*w**2 + 483095*i + 5783*w**3 wrt w.
6*i*w + 17349*w**2
What is the derivative of -34*g*i**2 - g*i - 2*g*m + 52*g + 13*i**2*m - 3*i*m - 386*m wrt i?
-68*g*i - g + 26*i*m - 3*m
What is the third derivative of -22685*j**2*r**5 - 2*j**2*r - 213*j**2 + 4*r**6 - 2*r**2 + 5*r wrt r?
-1361100*j**2*r**2 + 480*r**3
What is the second derivative of -614047*w**2 + 1221573*w?
-1228094
Find the second derivative of 147672*h**2 + h + 151583 wrt h.
295344
Find the second derivative of -125450*k*w**2 - 21*k + 8*w**2 - 9*w + 20 wrt w.
-250900*k + 16
What is the derivative of -1903*a**2*w + 3*a**2 - 2*a*w - a - 159109*w wrt a?
-3806*a*w + 6*a - 2*w - 1
What is the second derivative of -153131*z**2 - 344464*z wrt z?
-306262
What is the third derivative of -11019*p**6 - 2*p**2 + 35921*p wrt p?
-1322280*p**3
Find the second derivative of f**4 - 1158148*f**2 - 6291717*f wrt f.
12*f**2 - 2316296
Find the first derivative of -120655*m**2 + 111813 wrt m.
-241310*m
Differentiate 38113*h + 56232 wrt h.
38113
Find the second derivative of -93714*n**3 - 5*n**2 - 416*n - 383 wrt n.
-562284*n - 10
What is the second derivative of 3237*j*m**2*n**3 - j*m*n**3 + 215*j*m + 6*j*n**3 - 5*m**2*n**3 + m**2*n + 2*m*n - 1 wrt m?
6474*j*n**3 - 10*n**3 + 2*n
What is the first derivative of -33145*h + 17722?
-33145
What is t | {
"pile_set_name": "DM Mathematics"
} |
z (b) f (c) 0 (d) o
d
Let o = -2 - -2.4. Let j = -1070377 - -24605237/23. Let a = -584 - j. What is the biggest value in 4, o, -1/5, a?
4
Let k = 3085 + -3082. Which is the biggest value? (a) 5 (b) 15 (c) k (d) 1.4
b
Suppose -f + 31 = 4*y, -2*y = -0*y - f - 17. Suppose 9 = -3*g - v - y, -13 = -3*g + 5*v. Which is the third biggest value? (a) g (b) -0.3 (c) 1/4 (d) -2/7
b
Let h(t) = 11*t - 72. Let s be h(7). Suppose -23*z - 6 = -29. Which is the third smallest value? (a) z (b) -0.27 (c) s
c
Let n be ((-3)/(-4))/(9/(-2)). Let z = 0.218 - 2.158. Let f = z - 1.06. What is the second biggest value in f, 0.07, n?
n
Suppose -3*c + 7*h + 72 = 4*h, -57 = -3*c - 2*h. Let j be 30/(-16) - -3 - c/28. Let d = 3.89 + 0.11. What is the second smallest value in -1, 3, d, j?
j
Let i = 101 + -44. Let y = i + -144. Let z = 90 + y. Which is the third biggest value? (a) 0.37 (b) 0 (c) z
b
Suppose 4*w = 3*w + 2. Let i = -0.56844 + 0.66844. Which is the fourth biggest value? (a) i (b) 0 (c) w (d) -6
d
Suppose -i - 5*c + 0*c + 10 = 0, -2*i = 5*c - 10. Let f be i - 4 - 56*4/(-72). What is the fourth biggest value in 0.3, -4/5, 1/2, f?
f
Let l = 1.42 - -0.08. Let w = -13258 + 13256. What is the third smallest value in 0, l, w?
l
Let s = 2.47 - 1.68. Let t = 2213.91 + -2215. Let y = t + s. What is the fourth smallest value in 1, 2/7, 4, y?
4
Let x be -11 - -10 - (-1 + 2/15). Let n = -2 + 8. Let p = n - 6.02. Which is the biggest value? (a) x (b) p (c) 0
c
Let s = -0.173 - -0.373. Which is the third biggest value? (a) -0.14 (b) s (c) 1.2
a
Let s = 21135 + -21139. What is the fourth smallest value in s, -0.2, -3, -273/5?
-0.2
Let p be (-1)/(1/1) + -2. Let j = -0.36 + 0.4. Let i = -583282.1 - -583282. What is the biggest value in p, j, i, -2?
j
Let b = 12599.92 + -12626. What is the third biggest value in -3, b, -2?
b
Let z = -0.47 + -38.53. Let i = 41.2 + z. Let o = 2.7 - i. What is the third biggest value in o, 0, 2?
0
Suppose 0 = -6*w + 15 + 3. Let n = -10 - -14. Suppose 0 = -3*f + 9, -4*t + 27 = -2*f - 11. What is the smallest value in n, t, 0.1, w?
0.1
Let k = -2.12081 - -0.12081. Which is the fourth smallest value? (a) -0.5 (b) k (c) 3 (d) 91
d
Let f = -7613.1 + 7613. Which is the smallest value? (a) -45 (b) 7 (c) f
a
Let a = 38608 - 38595. What is the third biggest value in 2/9, a, -0.4, -1/8?
-1/8
Let v = 0.3 + -0.6. Let s = -4932 - -4927. Which is the biggest value? (a) v (b) -1/2 (c) s (d) 1
d
Let l be 0 + -10 - (-139 + 138). Let m(f) = -f**2 + 87*f + 869. Let d be m(l). Let z = 41.4 - 32. What is the second biggest value in 0.3, z, d?
d
Let x = -2734.3 - -2734. What is the fourth biggest value in x, -2/13, -0.19, -0.4?
-0.4
Let l = 54.7 + 245.3. Let n = l + -292. Which is the biggest value? (a) -0.2 (b) 1 (c) 0.3 (d) n
d
Let n = 9750 + -9750.1. Which is the third biggest value? (a) -5 (b) 0.3 (c) n (d) -306/13
a
Let u be (-59872)/320 - 2/4. Let y = u + 187. Which is the second smallest value? (a) -5.1 (b) 3 (c) y (d) -1
d
Let s = 10208/3 - 3403. What is the second biggest value in -1.2, s, -3/14?
s
Let i = -14 - -13.8. Let g = -3034211/13 + 233108. Let s = -293 - g. Which is the smallest value? (a) s (b) 1/7 (c) i (d) 0.4
c
Let f = 6273 - 6272. Let g be (-6)/(-21) + 1/7. What is the second biggest value in 9, -0.2, f, g?
f
Let q = 5/2493 - 8011/1508265. Which is the fourth biggest value? (a) 0.4 (b) q (c) -3 (d) -1 (e) 2/3
d
Suppose -4*q = -2*w + 17 + 3, 0 = w - 3*q - 15. Suppose w = -k + 26*k - 25. What is the biggest value in -0.07, k, 3?
3
Let t = -0.99 - -0.03. Let g = t - 1.04. Which is the smallest value? (a) 0.2 (b) g (c) 2/27
b
Let u = 7.132 + -13.132. What is the second biggest value in 0.5, -37, u, -5?
-5
Let p = 80.3 + -80.2. Which is the second smallest value? (a) 25.1 (b) 0.3 (c) p
b
Let o = -3886 + 3888. What is the smallest value in o, -0.3, 1.3, -5?
-5
Let a be -3 - (-36)/(-56)*-6. Let b = 115 - 115.5. What is the third biggest value in -0.1, a, 5, b?
-0.1
Let d = 31625/4 - 7906. Let t(p) = 6*p + 8. Let g be t(-6). Which is the biggest value? (a) -0.1 (b) g (c) d
c
Let m be ((-32)/8)/(2/(-3)). Let z be 3 - 30/9 - 16/m. Which is the third biggest value? (a) -3/5 (b) 0.5 (c) z
c
Let f = -27485 - -27691. Which is the third biggest value? (a) -0.5 (b) 0.5 (c) f (d) 1
b
Let g be 851/(-555) - (2 + -5)*-1. Which is the second biggest value? (a) -0.04 (b) g (c) 1
a
Let k be 236*(-16)/256 + 50/5. What is the third biggest value in -1/7, 0.09, k?
k
Let l be (-5)/(-100)*4 + (-288)/(-10). Let s = -3.2 + 3.4. Which is the second smallest value? (a) 5 (b) 2/9 (c) l (d) s
b
Let y be (10 - 2) + -13 - -31*(-3)/(-18). What is the third smallest value in -3/7, y, 1/571, 1?
y
Let i be ((-10)/(-35))/(-4 + (-18)/(-4)). Let k = -0.11 + 36.61. Let y = k - 37. Which is the third smallest value? (a) y (b) -4 (c) -3 (d) i
a
Let l be (1864/5664)/(3/6). Let g = l - -1/118. Let j = 0.32 + -0.12. What is the biggest value in 1/4, j, 0.5, g?
g
Let n(m) = m**3 + 11*m**2 - 18*m - 1. Let l be n(-11). Suppose y = -0*y + l. Let f = y - 1775/9. Which is the biggest value? (a) 2/3 (b) 3/11 (c) 2/7 (d) f
a
Let t(w) = 98*w - 1668. Let v be t(17). Which is the fifth smallest value? (a) -0.1 (b) 7 (c) v (d) 0.6 (e) -14
b
Let l = 52664 - 52655.0026. Let v = l + 0.0026. Let n = 3 + -8. Which is the smallest value? (a) n (b) -1 (c) v (d) 3
a
Let r = -0.2 - -0.16. Let m = r - -0.04. Suppose 3*q = -3*k - 9, -31*q + 32*q = 4*k + 17. What is the second smallest value in 6, k, m, 4?
m
Suppose -396 = 7102*d - 7069*d. What is the third biggest value in d, -1, -8?
d
Let g = 2.9242 + -3.3242. What is the third biggest value in g, -3, 2/11, -93?
-3
Let z = -4747.8 - -4748. What is the second smallest value in -2/3, -318, -1/7, -5, z?
-5
Let q = -6683 + 6682.9. Which is the fifth smallest value? (a) 1 (b) 0 (c) q (d) -55 (e) 0.4
a
Let n be 1*((-62)/465 - (-46)/120). What is the fourth smallest value in 0, -0.09, 0.4, -0.3, n?
n
Let j = -5 - -6. Let h = j - 0.97. Let m(y) = 2*y**3 + 12*y**2 - 11*y. Let v be m(1). Which is the fourth biggest value? (a) -5 (b) v (c) 0.4 (d) h
a
Let c be (2/(-121))/(102/(-2244)). What is the smallest value in c, 57, -10?
-10
Suppose -2*q + 28 = 12*q. Let f be q - 40*(-9)/((-1620)/8). Which is the smallest value? (a) -9 (b) -3/7 (c) f
a
Let k = -4629 + 4630.22. What is the third biggest value in -0.4, 2/3, 1/7, k?
1/7
Suppose 24*n = -p + 23*n + 30, -4*p = -2*n - 108. Let o be -4*(p/(-24) + (-1)/(-6)). What is the third smallest value in -5, o, 2/27?
o
Let c = -44931/5 - -8986. What is the fourth smallest value in 0.04, 14, c, 2?
14
Let k = -2428 + 2429. What is the second smallest value in 4, -0.4, -1227, k?
-0.4
Let o = -559.287 - -555.3. Let y = o + -0.013. Which is the third biggest value? (a) -7 (b) -2 (c) y (d) -0.4
c
Let o be -2966 - 7 - (-6 + 23). Which is the biggest value? (a) -0.3 (b) o (c) -1
a
Let i = 3332/9951 + -5/3317. What is the fifth smallest value in 0.3, 4, 11, 0, i?
11
Let i be (-2)/(4/(-2))*5. Let r = 7751 - 7751.1. Which is the third smallest value? (a) i (b) 1.1 (c) r
a
Let m = 28.24 + -26.24. What is the fifth smallest value in 32/11, m, 0, -5, -2/13?
32/11
Let a = -57.3 + 56.4. What is the smallest value in a, -2, -1/2, 1/3?
-2
Let w(h) = -h**2 + 17. Let v be w(5). Let g be (-26)/91 - (-5)/(70/(-52)). Which is the fourth biggest value? (a) 1 (b) 0 (c) g (d) v
d
Let v = -22.98272 + -0.01728. Which is the second smallest value? (a) v (b) 2 (c) 5/7
c
Suppose 5*b + 9531*j = 9530*j + 20, 3*j - 15 = 0. Let h(x) = 7*x**2 + 3*x. Let o be h(-2). What is the second smallest value in b, o, -0.04?
b
Let o = 1.9517 - 2.0517. Which is the smallest value? (a) 27/7 (b) -79 (c) o
b
Suppose -x + 4*x + 3*v - 3 = 0, 3*v + 9 = x. Let p = 1560 + -1414.6. Let y = 145 - p. Which is the third smallest value? (a) -2/35 (b) y (c) x
c
Let q = 149/60 + -25/12. Which is the biggest value? (a) -3.4 (b) q (c) 4/5
c
Let h = 26652 + -26651.944. Which is the third smallest value? (a) h (b) 2/3 (c) 2/9 (d) 3
b
Let c(h) = -3*h + 23. Let r be c(8). Let t = -0.39 + -0.01. What is the third smallest value in r, -9, t?
t
Let m = 2/2169 + -4360/2 | {
"pile_set_name": "DM Mathematics"
} |
*m + 8689. Determine k(6).
-17
Let k(s) = -3*s**3 + 295*s**2 + 204*s - 658. What is k(99)?
-64
Let x(n) = -32*n + 349. What is x(11)?
-3
Let b(v) = 5*v**2 + 88*v + 361. Calculate b(-11).
-2
Let a(w) = -w**3 + 16*w**2 + 128*w + 56. Determine a(22).
-32
Let s(x) = 67*x - 62. Give s(1).
5
Let n(d) = 5*d**2 + 63*d + 60. Determine n(-1).
2
Let k(i) = i**3 + 42*i**2 + 423*i + 27. Determine k(-17).
61
Let y(x) = -85*x - 61. Determine y(1).
-146
Let q(u) = 11*u**2 - 9*u + 5. Give q(1).
7
Let y(q) = 3*q**3 - 8*q**2 + 7*q - 46. What is y(5)?
164
Let w(h) = h**2 + 242*h - 27. What is w(0)?
-27
Let j(t) = t**3 - 8*t**2 - 73*t + 564. What is j(9)?
-12
Let v(g) = 165*g**2 + 289*g - 85. Give v(-2).
-3
Let s(z) = z**2 + 598*z - 13639. Determine s(22).
1
Let k(h) = -h**2 + 8*h + 247. Give k(20).
7
Let i(w) = -132*w + 1224. Determine i(9).
36
Let c(q) = 38*q**2 + 4*q + 53. Calculate c(0).
53
Let q(c) = c**2 - 27*c + 124. Determine q(8).
-28
Let j(y) = -y**2 - 13*y. Give j(16).
-464
Let b(y) = 300*y - 2352. Calculate b(8).
48
Let d(u) = u**3 + 3*u**2 - 57*u - 12. What is d(-9)?
15
Let u(v) = 2*v**2 - 586*v + 8842. Calculate u(277).
-22
Let u(r) = -42*r + 5. Give u(0).
5
Let k(c) = -2*c**3 - 36*c**2 - 138*c + 76. Determine k(-12).
4
Let m(d) = -2*d**2 + 17*d + 263. Calculate m(23).
-404
Let m(r) = -81*r + 817. Calculate m(8).
169
Let i(x) = 27586*x - 55175. Give i(2).
-3
Let c(y) = 112*y**2 - 111*y - 4. Determine c(1).
-3
Let t(z) = -20*z**3 + z**2 + z + 1. What is t(2)?
-153
Let c(l) = 2*l**3 + 283*l**2 + 135*l - 917. Determine c(-141).
-71
Let a(u) = -u**2 - 25*u - 62. What is a(-3)?
4
Let l(x) = -3*x**2 - 4292*x - 25644. What is l(-6)?
0
Let d(m) = -2*m**2 + 53*m - 356. Calculate d(14).
-6
Let q(z) = 39*z**2 + 835*z + 329. Give q(-21).
-7
Let m(q) = 6*q**3 + 1288*q**2 - 429*q + 194. Determine m(-215).
-21
Let p(f) = f**3 + 33*f**2 - 46*f + 837. Determine p(-35).
-3
Let d(g) = 33*g + 178. Give d(-5).
13
Let s(m) = -5*m + 160. What is s(7)?
125
Let i(d) = 3*d**2 - 28*d + 25. Give i(-7).
368
Let j(l) = -l**3 + 66*l**2 + 282*l - 13. What is j(70)?
127
Let p(v) = 3*v**3 - 5*v**2 - 16*v - 6. Determine p(4).
42
Let h(q) = 29*q - 47. Calculate h(5).
98
Let d(g) = -2*g**2 + 5*g - 25. Calculate d(3).
-28
Let r(m) = -2*m**3 - 11*m**2 - 25*m - 101. Calculate r(-5).
-1
Let d(i) = 14*i**2 + 280*i - 8. What is d(-20)?
-8
Let w(b) = -120*b + 1275. Determine w(7).
435
Let y(g) = -10*g**2 - 33*g + 24. Determine y(6).
-534
Let o(v) = 2*v**3 + 95*v**2 - 46*v + 166. Calculate o(-48).
70
Let g(h) = -2*h**2 + 54*h - 86. Determine g(27).
-86
Let p(f) = 9*f**3 - 109*f**2 + 16*f - 77. What is p(12)?
-29
Let c(t) = -2*t**3 + 151*t**2 + 235*t - 304. Calculate c(77).
4
Let m(k) = -k**3 + 6*k**2 - 11*k + 22. Calculate m(3).
16
Let n(p) = 15*p**2 + 50*p + 11. Determine n(0).
11
Let i(w) = -w**3 - w**2 + 14*w + 20. Determine i(-7).
216
Let b(v) = -20*v + 264. What is b(16)?
-56
Let i(s) = 3*s**2 + 1681*s - 3368. Calculate i(2).
6
Let s(l) = -57*l + 294. Calculate s(5).
9
Let u(g) = 313*g + 3321. Calculate u(-12).
-435
Let u(x) = 22*x**2 + 6*x + 24. Give u(-4).
352
Let o(p) = -p**2 - 19*p + 1978. What is o(36)?
-2
Let z(a) = -18*a - 242. Give z(-20).
118
Let p(s) = 5*s**2 - 13*s + 63. Give p(4).
91
Let c(i) = i**3 - 28*i**2 + 197*i - 14. Determine c(14).
0
Let h(l) = -l**2 - 41*l - 33. Calculate h(-9).
255
Let o(k) = -5*k**3 + 124*k**2 + 22*k + 70. Calculate o(25).
-5
Let u(c) = 2*c**3 - 19*c**2 + 42*c + 15. What is u(5)?
0
Let n(p) = 4*p**2 - 41*p - 166. What is n(13)?
-23
Let t(d) = -d**3 - 30*d**2 - 158*d + 12. What is t(-7)?
-9
Let a(w) = w**3 - 65*w**2 + 67*w - 196. Give a(64).
-4
Let c(n) = -5*n**3 + 3*n**2 + 8*n - 20. Determine c(4).
-260
Let c(m) = 2*m**3 - 94*m**2 + 737*m + 118. What is c(37)?
7
Let c(h) = 618*h - 3035. What is c(5)?
55
Let w(u) = u**3 + 50*u**2 + 3*u + 160. What is w(-50)?
10
Let j(f) = -2*f**2 - 115*f - 733. Give j(-50).
17
Let c(y) = -y**2 + 2710*y - 18925. What is c(7)?
-4
Let z(s) = s**3 - 369*s**2 - 745*s + 1104. What is z(371)?
-9
Let b(k) = -146*k + 329. Give b(4).
-255
Let p(w) = -176*w**2 - 27*w - 2. Calculate p(-1).
-151
Let m(f) = f**3 - 70*f**2 - 77*f + 442. Determine m(71).
16
Let j(g) = -8*g**3 + 63*g**2 + 61*g - 2. Determine j(-1).
8
Let w(m) = -32*m - 675. Give w(-18).
-99
Let u(y) = 6641*y + 19914. Determine u(-3).
-9
Let g(n) = 3*n**2 - 40*n - 76. Determine g(13).
-89
Let n(k) = k**3 - 8*k**2 + 6*k + 45. Determine n(6).
9
Let f(g) = -g**3 - 9*g**2 + 40*g + 282. Calculate f(-9).
-78
Let k(l) = -3*l**2 - 24*l + 44. What is k(-10)?
-16
Let k(h) = 4404*h + 13211. Determine k(-3).
-1
Let c(n) = -237*n**2 - 1427*n + 8. Determine c(-6).
38
Let b(z) = 165*z - 5272. Determine b(32).
8
Let d(j) = j**3 - 15*j**2 + 19*j + 141. Give d(5).
-14
Let g(y) = 244*y + 312. Determine g(-2).
-176
Let p(s) = s**3 + 41*s**2 - 41*s - 28. Determine p(-42).
-70
Let a(g) = 211*g + 2725. Calculate a(-13).
-18
Let f(t) = 117*t**2 - t - 2. Calculate f(1).
114
Let s(x) = -3*x**3 - 208*x**2 - 65*x + 53. Give s(-69).
-223
Let b(u) = 2*u**3 - 148*u**2 - 182*u + 2397. Give b(75).
-3
Let f(t) = 4*t**2 - 198*t + 113. What is f(49)?
15
Let x(h) = h**3 + 15*h**2 + 28*h - 52. Determine x(-14).
-248
Let p(b) = 31*b + 226. Determine p(-12).
-146
Let t(g) = -3*g**2 + 98*g + 431. Determine t(-4).
-9
Let p(x) = -6*x + 62. Give p(52).
-250
Let k(p) = 349*p + 4894. Give k(-14).
8
Let q(i) = -46*i + 42. Calculate q(4).
-142
Let y(c) = 14*c**2 + 1094*c + 160. What is y(-78)?
4
Let v(j) = -j**3 + 10*j**2 - 13*j + 10. Determine v(6).
76
Let n(o) = 24*o - 303. Give n(12).
-15
Let c(f) = -7*f**2 + 411*f - 3146. Give c(9).
-14
Let s(w) = -4*w**2 + 92*w + 78. Calculate s(24).
-18
Let w(o) = 407*o**2 + 5*o - 5. Calculate w(1).
407
Let r(z) = -z**3 - 3*z**2 + 28*z - 18. What is r(-8)?
78
Let t(j) = 143*j - 2676. Determine t(18).
-102
Let j(k) = 6*k**2 - 217*k + 830. Calculate j(4).
58
Let a(k) = -816*k + 4069. Calculate a(5).
-11
Let x(v) = -16*v - 37. Give x(-4).
27
Let z(f) = 3*f**3 - 236*f**2 - 73*f - 456. Give z(79).
18
Let a(l) = l**3 + 16*l**2 - 63*l - 1245. What is a(-14)?
29
Let b(y) = -3*y**2 + 117*y - 185. What is b(30)?
625
Let d(q) = 25*q**2 - 175*q + 18. Give d(7).
18
Let i(m) = -m**3 - 46*m**2 + 61*m - 1677. What is i(-48)?
3
Let y(p) = -4*p + 59. Determine y(-6).
83
Let f(r) = -5*r**2 - 191*r - 40. Calculate f(-38).
-2
Let b(y) = -18*y**3 - 8*y**2 + 6*y + 38. What is b(-2)?
138
Let r(q) = -14*q**2 - 2*q + 2. Give r(1).
-14
Let f(k) = -2*k**3 + 21*k**2 - 8*k - 17. Determine f(8).
239
Let d(z) = z**3 - 11*z**2 + 31*z - 7. What is d(6)?
-1
Let q(d) = 46*d**2 - 76*d + 5. Determine q(2).
37
Let j(k) = k**3 + 36*k**2 - 76*k - 1447. What is j(-37)?
-4
Let a(r) = -21*r**2 - 481*r + 14. Give a(-23).
-32
Let c(g) = g**2 - 52*g + 257. Determine c(46).
-19
Let h(w) = -2*w**3 + 21*w**2 + 9*w - 19. Calculate h(10).
171
Let p(o) = -676*o - 5381. Calculate p(-8).
27
Let n(r) = r**3 + 63*r**2 + 387*r - 277. Determine n(-56).
3
Let u(k) = 97*k - 1263. Determine u(13).
-2
Let p(a) = -7*a**2 - 33*a - 25. Give p(-3).
11
Let u(w) = -168*w - 5213. Determine u(-31).
-5
Let o(s) = 120*s - 6481. Calculate o(54).
-1
Let p(a) = 21*a**2 + 41*a + 8. Determine p(-6).
518
Let f(s) = -s**3 - 6*s**2 - 7*s - 82. What is f(-7)?
16
Let v(x) = -x**3 + 12*x**2 - 430*x + 3635. What is v(9)?
8
Let q(z) = -z**3 - 39*z**2 - 380*z + 3. Calculate q(-20).
3
Let d(s) = 2*s**3 + 133*s**2 - 485*s + 344. Calculate d(-70).
-6
Let b(p) = 198*p - 573. Determine b(4).
219
Let v(w) = -w**3 + 73*w**2 + 308*w + 3. Determine v(77).
3
Let j(v) = v**3 - 16*v**2 - 22*v + 58. What is j(18)?
310
Let m(w) = 38*w + 2. Calculate m(-2).
-74
Let p(l) = -l**3 + 37*l**2 + 91*l - 445. Calculate p(39).
62
Let m(n) = 2*n**2 + 126*n + 1143. What is m(-11)?
-1
Let j(w) = -77*w + 5933. Determine j(77).
4
Let h(b) = -88*b + 882. Give h(10).
2
Let f(v) = -v**3 - 108*v**2 + 566*v + 3. Calculate f(5).
8
Let c(r) = 12*r**3 - 805*r**2 + 66*r + 75. Calculate c(67).
8
Let p(y) = -44*y - 37. Calculate p(-6).
227
Let x(g) = 886*g - 20381. Calculate x(23).
-3
Let r(i) = 7*i**2 - 129*i - 233. What is r(20)?
-13
Let o(g) = -288*g + 2202. Determine o(6).
474
Let n(j) = 8*j**2 + 39*j - 27. What is n(-8)?
173
Let b(w) = w**2 - 12*w - 734. Calculate b(-24).
130
Let g(z) = 18*z | {
"pile_set_name": "DM Mathematics"
} |
.
0, -5, -6377
Sort -13/19, 4, -2, -33 in decreasing order.
4, -13/19, -2, -33
Sort -196, 2, 8/63 in ascending order.
-196, 8/63, 2
Put 3, -3, -1964, 0.3, -0.1 in decreasing order.
3, 0.3, -0.1, -3, -1964
Sort -1, -2, -2148, -4, 0.4 in increasing order.
-2148, -4, -2, -1, 0.4
Sort -6, 5, -9443, -4.
-9443, -6, -4, 5
Sort -66, -6, -5, 28, -4 in increasing order.
-66, -6, -5, -4, 28
Sort 3, 0.8, 3/2, 2, -4 in increasing order.
-4, 0.8, 3/2, 2, 3
Sort 3, -2, -729, -6, 2 in ascending order.
-729, -6, -2, 2, 3
Put -1/4, -26, 17, -3 in decreasing order.
17, -1/4, -3, -26
Sort -4, 7, -51, 4.
-51, -4, 4, 7
Put -7, 2115, 1 in descending order.
2115, 1, -7
Put 1, 4/23, 3, 6/11 in decreasing order.
3, 1, 6/11, 4/23
Put -14, -1, 324 in decreasing order.
324, -1, -14
Sort 3, -2, 4, -1, 1.57.
-2, -1, 1.57, 3, 4
Sort 1/227, 5, 1.35 in descending order.
5, 1.35, 1/227
Put 1.3, 0.09, -2/3, -2, -23 in decreasing order.
1.3, 0.09, -2/3, -2, -23
Sort -0.009, -16, 1/37, 10.
-16, -0.009, 1/37, 10
Sort -5, -4, -36, -3, 257, 5 in descending order.
257, 5, -3, -4, -5, -36
Sort 4, -4, -13, 669, 5 in ascending order.
-13, -4, 4, 5, 669
Sort 5/3, 2, -39, 4, -5 in decreasing order.
4, 2, 5/3, -5, -39
Put -0.5, 1/5, 2/19, 0.0845 in descending order.
1/5, 2/19, 0.0845, -0.5
Sort -0.3, 3/22, -2, -0.5, 4, -1/76 in decreasing order.
4, 3/22, -1/76, -0.3, -0.5, -2
Sort 54, 144, -5, 5 in descending order.
144, 54, 5, -5
Sort 1, -7, -3, -4, 1615.
-7, -4, -3, 1, 1615
Sort -109, 1/11, 1025 in decreasing order.
1025, 1/11, -109
Sort 0, 80, -3, 4.
-3, 0, 4, 80
Sort 2, -5, 3, 1, 177.
-5, 1, 2, 3, 177
Put -13, -4, 22, -1, -7 in descending order.
22, -1, -4, -7, -13
Put 13335, -2, -4, 3 in descending order.
13335, 3, -2, -4
Sort 2, 6, -2, 3, 98 in descending order.
98, 6, 3, 2, -2
Sort 1/54, -0.3, 4, -33.
-33, -0.3, 1/54, 4
Sort 3/4, 9/4, 0.71, -4, -14 in descending order.
9/4, 3/4, 0.71, -4, -14
Put 10, -4, 3, 4, -79 in increasing order.
-79, -4, 3, 4, 10
Put 0.1, -18101, -2/19, 3, -2/7 in descending order.
3, 0.1, -2/19, -2/7, -18101
Sort -118, 1, 3, -25 in increasing order.
-118, -25, 1, 3
Put 424, 3, 1, 25 in descending order.
424, 25, 3, 1
Sort -0.1, 0.1, -188, 0.4, 2/331.
-188, -0.1, 2/331, 0.1, 0.4
Put -5/12, 0.4, -0.5, -3/10 in increasing order.
-0.5, -5/12, -3/10, 0.4
Put -1, 3, -5, 3534 in increasing order.
-5, -1, 3, 3534
Sort 1, 1797, -1, -23, 3.
-23, -1, 1, 3, 1797
Sort -64, 0, 169 in increasing order.
-64, 0, 169
Put -3, -6, -4, 2, -1, 1077 in descending order.
1077, 2, -1, -3, -4, -6
Sort -0.4, -0.7, -353, 5, 2/5, 3/7 in increasing order.
-353, -0.7, -0.4, 2/5, 3/7, 5
Sort 207, 3, -3, -2, 6 in decreasing order.
207, 6, 3, -2, -3
Sort -13, -15, -0.0264 in ascending order.
-15, -13, -0.0264
Sort -3, -4, -5, 5, 4, -7416 in ascending order.
-7416, -5, -4, -3, 4, 5
Put 4, -2, 547, -5 in increasing order.
-5, -2, 4, 547
Sort 775, 10, 0.5, -0.3, 1/11.
-0.3, 1/11, 0.5, 10, 775
Put 2, 451, 3, -13, -3 in descending order.
451, 3, 2, -3, -13
Sort -1, 34, 1, 52 in ascending order.
-1, 1, 34, 52
Sort 1.3, 751, -2/13, 5 in increasing order.
-2/13, 1.3, 5, 751
Put -31, -1808, 11 in decreasing order.
11, -31, -1808
Put 21, 6, -183 in increasing order.
-183, 6, 21
Put 2, 10, -3, -2, 152 in decreasing order.
152, 10, 2, -2, -3
Sort 273, 205, -5.
-5, 205, 273
Sort 3, -5, 1326, -0.87, -2/3 in increasing order.
-5, -0.87, -2/3, 3, 1326
Put 5, -5, 101, 11, 1 in decreasing order.
101, 11, 5, 1, -5
Sort 0.4, -390, 2/9, -69, 4, 1/6.
-390, -69, 1/6, 2/9, 0.4, 4
Sort 256, 5, 1, -7, -5, 3 in increasing order.
-7, -5, 1, 3, 5, 256
Sort 3398, -5, -14.
-14, -5, 3398
Sort -23, -5, 2, 4 in ascending order.
-23, -5, 2, 4
Sort 38, -10, 2, -279 in descending order.
38, 2, -10, -279
Put 6/11, -2/7, 5, 3/4, -30 in decreasing order.
5, 3/4, 6/11, -2/7, -30
Put -0.2, -6, 1, 2/5, -0.3 in decreasing order.
1, 2/5, -0.2, -0.3, -6
Sort -2/11, 0.3, -4, 60, 2.8, 0 in decreasing order.
60, 2.8, 0.3, 0, -2/11, -4
Put 2/5, -3, -2.1, 0.1065, 4 in increasing order.
-3, -2.1, 0.1065, 2/5, 4
Put -1, -6, 4, 3/4, 1/8, -0.23 in ascending order.
-6, -1, -0.23, 1/8, 3/4, 4
Sort -60.9, 2/7, -18.6 in increasing order.
-60.9, -18.6, 2/7
Sort 5, -2/11, 1/3.
-2/11, 1/3, 5
Put 0.08, 1, 90/91 in decreasing order.
1, 90/91, 0.08
Put 5, -5, 7, -2931 in descending order.
7, 5, -5, -2931
Put -47, 28, -76 in ascending order.
-76, -47, 28
Put 0, -8, -3, -24, 1 in increasing order.
-24, -8, -3, 0, 1
Sort 0, -3/7, -1, 5, 25307, 3 in increasing order.
-1, -3/7, 0, 3, 5, 25307
Put 0, -5, -3, 1.49, 2/25 in increasing order.
-5, -3, 0, 2/25, 1.49
Sort 10, 3, 2, -56894 in decreasing order.
10, 3, 2, -56894
Put -12361, 0, 2 in ascending order.
-12361, 0, 2
Put 864, 73/4, 0.4 in decreasing order.
864, 73/4, 0.4
Sort 27, 103, 13, -1 in decreasing order.
103, 27, 13, -1
Sort -52, 63, -4/7, -1/2, 0.2 in decreasing order.
63, 0.2, -1/2, -4/7, -52
Sort 0, 4, -2, 15, -11, 5.
-11, -2, 0, 4, 5, 15
Sort 2/11, 5, 6, 935.
2/11, 5, 6, 935
Sort -5, -10481, -2/13 in decreasing order.
-2/13, -5, -10481
Sort 3, -1, 11, -590, 2, 0 in increasing order.
-590, -1, 0, 2, 3, 11
Put -0.01, 11, -0.3, -5/2, 3/4, 2 in decreasing order.
11, 2, 3/4, -0.01, -0.3, -5/2
Sort -55/3, 0.22, -0.47, -1, 0.6 in descending order.
0.6, 0.22, -0.47, -1, -55/3
Sort -68.4, 0.4, 0.6 in ascending order.
-68.4, 0.4, 0.6
Put -25, -5, 4, 3, 6/7, 13 in decreasing order.
13, 4, 3, 6/7, -5, -25
Sort -1167, 6, 49, 5 in decreasing order.
49, 6, 5, -1167
Put 4/5, 4, 1, -7, 2/11, -0.0364 in decreasing order.
4, 1, 4/5, 2/11, -0.0364, -7
Sort 20, -58, 1.
-58, 1, 20
Put -3/155, 5, 24 in decreasing order.
24, 5, -3/155
Put -5, -1355, 0, 3, -4 in increasing order.
-1355, -5, -4, 0, 3
Sort -2/11, 5/46, 201 in decreasing order.
201, 5/46, -2/11
Put 477/35, 1, -0.4, -1/4, 0.3, 4 in descending order.
477/35, 4, 1, 0.3, -1/4, -0.4
Sort -20, 1, -4/5, 5, -0.2 in decreasing order.
5, 1, -0.2, -4/5, -20
Sort -10, -1, -9, -3, 3, -4 in decreasing order.
3, -1, -3, -4, -9, -10
Sort 2, 122, -898 in ascending order.
-898, 2, 122
Put 0.4, 7, -25.7, -12 in increasing order.
-25.7, -12, 0.4, 7
Put -6, 20, -9, 4, 3 in decreasing order.
20, 4, 3, -6, -9
Sort 2, 7, 131, -3, -2, 5.
-3, -2, 2, 5, 7, 131
Sort 0.4, 0.018, 2, 78, -4 in decreasing order.
78, 2, 0.4, 0.018, -4
Sort 0.5, -2.8, -0.7, 4, -0.08 in descending order.
4, 0.5, -0.08, -0.7, -2.8
Sort 1/3, -2/9, -29, 2/39, 0.14 in decreasing order.
1/3, 0.14, 2/39, -2/9, -29
Sort -1, -9, 220, -4, 5.
-9, -4, -1, 5, 220
Sort -9087, -4, 3/4, 8 in descending order.
8, 3/4, -4, -9087
Sort 46, 0, 76 in decreasing order.
76, 46, 0
Sort -2/3, 1/9, -2/5, 5, -3, 21.3.
-3, -2/3, -2/5, 1/9, 5, 21.3
Put -1, -2, -14, -3, -4, -1690 in increasing order.
-1690, -14, -4, -3, -2, -1
Sort 1825, -2, 3, -3.
-3, -2, 3, 1825
Sort -7.728, -0.2, 0.4, 5 in ascending order.
-7.728, -0.2, 0.4, 5
Put 99, -1, 0, -4, 3, -7 in increasing order.
-7, -4, -1, 0, 3, 99
Put 6/5, -1811, 2 in descending order.
2, 6/5, -1811
Put -204, 3, 79, 1 in descending order.
79, 3, 1, -204
Put 4, -114, -3, 2, -50 in descending order.
4, 2, -3, -50, -114
Put 1/37, -0.8, 1/3, -4, 3/2 in descending order.
3/2, 1/3, 1/37, -0.8, -4
Sort 4, 596909, 3 in increasing order.
3, 4, 596909
Sort 0.1, -1, 64/89, -1/10, -3 in increasing order.
-3, -1, -1/10, 0.1, 64/89
Sort 266, 5, -5, -10 in decreasing order.
266, 5, -5, -10
Sort 141291, 0, 4 in increasing order.
0, 4, 141291
Put -5, -3, -68, 4, 6 in descending order.
6, 4, -3, -5, -68
Sort 1, 1/146, 31 in decreasing order.
31, 1, 1/146
Sort -808, -1, -20 in ascending order.
-808, -20, -1
Sort 2, -32, 3, 33.
-32, 2, 3, 33
Put 0.5, 37, 34/9, -2 in decreasing order.
37, 34/9, 0.5, -2
Sort 1, -5, -3, -1892 in decreasing order.
1, -3, -5, -1892
Put 1, 8, -17, 311, 4 in increasing order.
-17, 1, 4, 8, 311
Put 2, -3, -11955, 1 in decreasing order.
2, 1, -3, -11955
Put 66, 2, 3, -4, 4 in descending order.
66, 4, 3, 2, -4
Sort -0.07, 1/5183, -4, 1/4 in decreasing order.
1/4, 1/5183, -0.07, -4
Put 2, 6, 40, -18 in increasing order.
-18, 2, 6, 40
Put -67, -55, 2, -2 in decreasing order.
2, -2, -55, -67
Sort 20, -65, -3, -2 in descending order.
20, -2, -3, -65
Sort -45733, 2, -1 in ascending order.
-45733, -1, 2
Sort -1, -3497, -5.
-3497, -5, -1
Sort 27, 448, 0, 2 in increasing order.
0, 2, 27, 448 | {
"pile_set_name": "DM Mathematics"
} |
e highest common divisor of o and 48.
12
Suppose 457 = 5*z - 2*h, 0 = -9*z + 7*z + h + 183. Let v(c) = c**2 + c + 13. Let i be v(0). Calculate the highest common factor of i and z.
13
Suppose 0 = 2*d - d - 47. Suppose 0 = 2*a + 2, 5*a = -2*o - 2*o - 53. Let f = o + d. Calculate the highest common divisor of f and 5.
5
Let d(i) = i**2 - 6*i - 2. Let r be d(8). Calculate the highest common factor of 112 and r.
14
Let o(w) = 28*w**2 + 3*w + 2. Let m be o(-2). Calculate the highest common factor of 12 and m.
12
Let b be 6 + -2 + 4/(-2). Let w(f) = 4 - 2 - 5*f + 10*f**2 + 4*f. Let k be w(b). What is the greatest common factor of 16 and k?
8
Let k = 25 - -4. Let m = k + -20. What is the greatest common factor of 27 and m?
9
Let b(t) = t**2 - t + 22. Suppose 0*o = 2*o. Suppose 5*x - x = o. Let u be b(x). Calculate the greatest common divisor of u and 33.
11
Let q be 10/3*36/8. Let f(p) = -p**3 + 10*p**2 - 7*p + 3. Let c be f(6). Calculate the highest common divisor of q and c.
15
Let s be ((-5)/3)/((-3)/9). What is the greatest common factor of s and 110?
5
Let b = -70 + 81. What is the highest common divisor of 121 and b?
11
Suppose -128 - 256 = -3*o. Calculate the highest common factor of o and 16.
16
Suppose 0*n = 5*r + 2*n - 173, 3*n = -2*r + 67. Let y be (-2 - -3)/((-2)/(-10)). What is the highest common factor of r and y?
5
Let l be -1 + (-127)/1*-1. Suppose -13 = -2*v + 15. What is the highest common divisor of l and v?
14
Let f be -3 - -112 - 2/(-2). Let m be (-3)/(f/(-52) - -2). Calculate the highest common divisor of m and 65.
13
Suppose -10 = -2*q + q. What is the greatest common divisor of q and 15?
5
Let r = 1 + 0. Let g be -5 + 14 - (3 - r). Calculate the greatest common factor of 63 and g.
7
Let d be 7/(323/748 - (-2)/(-11)). Suppose 4*g = -w + 132, 4*w - 109 = 5*g + 461. Calculate the highest common factor of w and d.
28
Let p(h) = -3*h. Suppose n + b = 2, 0 = -0*n + n + 3*b - 8. Let i be p(n). Let u = i - -8. Calculate the greatest common factor of u and 22.
11
Suppose -16*t + 520 + 56 = 0. What is the greatest common factor of 27 and t?
9
Suppose 0 = a - 0*a - 40. Calculate the highest common divisor of 16 and a.
8
Let b(q) = 2*q - 3. Let u = -4 + -5. Let p be b(u). Let v be 56/p*33/(-2). What is the highest common divisor of v and 4?
4
Let x be ((-22)/33)/(((-2)/(-114))/(-1)). Calculate the highest common divisor of x and 57.
19
Suppose o + 3*o = 0. Suppose 5*b + 78 = y, o*y = 3*y - 2*b - 234. Suppose y = 5*d - 72. What is the greatest common divisor of d and 6?
6
Let o be -1 + (-5)/(15/3). Let x be -1 + 0 + -4 + 2. Let f be x/o*(-44)/(-6). Calculate the highest common divisor of f and 33.
11
Let i = 212 - 30. What is the highest common factor of 26 and i?
26
Let f(g) = -263*g**3 + 2*g**2 + 2*g + 1. Let k be f(-1). What is the greatest common factor of 24 and k?
24
Let g be ((-12)/(-15))/((-1)/(-5)). Let h = 18 - -10. What is the highest common factor of g and h?
4
Let j be 0 + (18 - (-8)/2). What is the greatest common divisor of 2 and j?
2
Suppose m + 15 = -38. Let d = 83 + m. Suppose 2*u - 7*u + d = 0. Calculate the highest common divisor of 3 and u.
3
Suppose 3*c - 2*c + 5*l + 9 = 0, 3*c + l = 15. Let o be -3*(-1)/((-3)/(-2)). Calculate the highest common factor of c and o.
2
Suppose 9*b = 7*b + 34. Suppose -g - 51 = -4*g. What is the highest common divisor of b and g?
17
Let i be 4 + 0 - (2 + -2). Calculate the greatest common divisor of 28 and i.
4
Suppose -2*f + 3*o + 88 = -29, 2*o + 309 = 5*f. What is the highest common divisor of f and 42?
21
Suppose 7 = -8*a + 39. Calculate the highest common factor of 1 and a.
1
Suppose 0*o = 4*o. Let d = 41 + -29. Let m = d - o. Calculate the greatest common divisor of m and 96.
12
Let x(q) = 2*q**2 - q - 1. Let j be x(-2). Let z = -106 - -187. Calculate the greatest common factor of j and z.
9
Let p = -4 - -6. Suppose -96 = -5*s - s. What is the highest common divisor of s and p?
2
Let k = 0 + 5. Suppose w - 4*a = 26, 3*a = -0*w + k*w - 45. Let h = 16 + -1. Calculate the greatest common factor of h and w.
3
Let p(x) = x**2 - 3*x. Let k be p(4). What is the highest common divisor of k and 36?
4
Suppose -4*n = 2*q - 86, -45 - 2 = -q - 3*n. Let m be ((-28)/q)/((-2)/480). What is the highest common factor of m and 24?
24
Suppose 3*k + 2*d - 34 = 16, -26 = -k - 3*d. Suppose k - 113 = -m. Calculate the greatest common factor of 9 and m.
9
Let k = 17 - 11. Let g = 0 - -3. What is the highest common factor of g and k?
3
Suppose -3*g + 4*g = -1. Let k be (3/(6/22))/g. Let j = k + 18. Calculate the highest common divisor of j and 7.
7
Suppose 126 = 2*q + 42. Let f = q - 2. Calculate the greatest common divisor of f and 5.
5
Let p be (-15)/(-2)*64/48. What is the greatest common factor of p and 50?
10
Suppose -2*b - 5*o = -1 - 2, -5*b + 16 = 4*o. Calculate the highest common factor of b and 68.
4
Let h(c) = -c**3 + 5*c**2 - 4*c + 2. Let t be h(2). Let v be 0 - 8/(2 + -1). Let k be (180/v)/((-6)/8). What is the greatest common divisor of t and k?
6
Suppose 3*o = t + 2, -4*t + 12 = -3*o + o. Calculate the greatest common factor of 14 and o.
2
Let y(t) = 64*t - 1. Let l(m) = m**3 - 5*m**2 - 6*m + 1. Let k be l(6). Let w be y(k). What is the greatest common factor of w and 7?
7
Suppose 3*p - 21 = -5*j + 117, 108 = 4*j + 3*p. Calculate the greatest common divisor of 6 and j.
6
Let q(r) = -r + 7. Suppose 2*m - m - 7 = 0. Let i be q(m). Let t be (-1)/(2/(i + -30)). What is the highest common divisor of 15 and t?
15
Let w be (-4)/20 - (-2)/10. Let m be 3 + -2*(-12 - w). Calculate the greatest common divisor of m and 3.
3
Let x be 12/(1 - (-10)/(-4)). Let v = x - -16. Suppose -v*p + 120 = -3*p. What is the highest common divisor of 3 and p?
3
Let y(j) = -7*j - 7. Let f be y(-4). Calculate the highest common factor of f and 105.
21
Let z = 2 + 7. Suppose -u - 252 = -5*u. What is the greatest common factor of z and u?
9
Suppose i + 2*i = 3*c - 534, -2*c + 5*i = -362. What is the highest common factor of 44 and c?
44
Let h be ((-55)/15)/(1/(-6)). Calculate the highest common factor of 242 and h.
22
Let b be ((-15)/25)/(1/(-5)). Calculate the highest common divisor of 2 and b.
1
Suppose 3*q - 20 = -4*d, -q = -2*q + 4*d + 28. What is the highest common factor of 6 and q?
6
Let b(x) = x - 2. Let k be b(4). Let s be k/(-4) + (-50)/(-4). Calculate the highest common divisor of 18 and s.
6
Let a be (6 - 7)/((-1)/31). What is the highest common factor of 93 and a?
31
Suppose -5*o + 35 = 4*d + d, 2*d - 13 = -3*o. Let y be (1 - 49)*(5 + (-11)/2). Calculate the highest common divisor of y and d.
8
Suppose -4*k = 3 - 11. Suppose 22 = k*n + 4*j, 15 = 2*n - 2*j - 19. What is the highest common factor of 60 and n?
15
Let m be (-13 - -10)/(2/(-4)). Suppose -5*u + m*x - x + 15 = 0, 3*u = -5*x + 9. What is the highest common divisor of 24 and u?
3
Let k(h) = -h - 7*h + h + 1. Let r be k(-2). What is the greatest common divisor of 45 and r?
15
Let f be (2/(-3))/((-1)/24). Let k = 22 + -20. Suppose 0*c = -5*c + w + 205, -3*c + k*w + 130 = 0. What is the greatest common divisor of c and f?
8
Suppose 3*z - 186 = -4*g - 66, -z + 120 = 4*g. Suppose 8*u - g = 3*u. Suppose 4*r - 4*t = 12, r = -r - 2*t - 2. What is the highest common divisor of r and u?
1
Let u = 3 - 3. Suppose 3*o - 3 = -u*o. Suppose -3*t - 1 = -25. Calculate the greatest common divisor of t and o.
1
Let h = 34 - 71. Let p = h + 61. Let m = 87 - 51. What is the greatest common factor of p and m?
12
Let v = -128 + 219. What is the highest common factor of 7 and v?
7
Suppose 0 = 2*z + x - 4, 4 = 2*x - 4*x. Suppose -4*g + 120 + 12 = 0. What is the highest common divisor of g and z?
3
Let z(l) = -l**3 + 16*l**2 + 18*l - 8. Let f be z(17). What is the highest common divisor of 9 and f?
9
Let f(d) = -d**3 - d**2 - d - 7. Let m be f(0). Let p be (1 + m)*1/(-2). Let w = p + 5. What is the greatest common factor of w and 56?
8
Let l(w) = w**2 - 9*w + 5. Let c be l(9). What is the highest common divisor of c and 40?
5
Let z(s) = s**2 - 18*s + 11. Let m be z(18). Let b(j) = 2*j - 9. Let f be b(m). Calculate the greatest common divisor of 26 and f.
13
Let t = 160 + -72. What is the highest common factor of 22 and t?
22
Let a(d) be the first derivative of -d**4/4 - 14*d**3/ | {
"pile_set_name": "DM Mathematics"
} |
Let o be d(0). Suppose -5*w - 4*v + 2083 = 423, o = 5*w + v - 1660. What is the hundreds digit of w?
3
What is the hundreds digit of 1916 - 2*2/(-4)*(100 + -95)?
9
Let z(o) = 91*o**3 - 19*o**2 + 141*o + 16. What is the units digit of z(8)?
0
Let n = 15898 + -2462. What is the thousands digit of n?
3
Let l be 0/((-3)/6*4)*1. Let f(t) = -13*t + 226. What is the hundreds digit of f(l)?
2
Suppose -3*p - 2*r + 4*r + 21 = 0, 2*p - 4*r - 22 = 0. Suppose 3*x + 1964 = p*k, -725 = 5*k - 2*x - 2691. What is the units digit of k?
4
Let i(m) = 240*m + 2000. What is the tens digit of i(72)?
8
Let k(a) = a**3 + 9*a**2 - 9*a - 8. Let q(h) = -h**2 - 5*h - 9. Let j be q(-4). Let o be (-9)/(j/(-4 + -1)). What is the tens digit of k(o)?
7
Let q be (-460)/(-15) + 4/12. Let l = q + -3. Let n = l - -36. What is the units digit of n?
4
What is the ten thousands digit of 3649228/55 + 2 + (0 - 8/5)?
6
Let g(z) = 6984*z**2 - 4*z + 11. What is the hundreds digit of g(1)?
9
Let s be (-26)/(-22) + (-4)/22. Let g be 1 - 4191/(-9) - s/(-3). Suppose 126 = f + 4*i, -4*f + g = 5*i - 26. What is the tens digit of f?
2
Suppose 58*k = -26764 + 213872. What is the tens digit of k?
2
What is the hundreds digit of 26/442 - (-240548)/34?
0
Suppose 0 = -4*c + 5*o + 1040 - 159, -o + 218 = c. Suppose 2*h - 5*h + c = 0. Suppose 0 = -s - 2*s + m + 195, 3*m = s - h. What is the units digit of s?
4
Suppose -58*o = -65*o + 21. Suppose 3*t + 72 - 2708 = a, -7914 = -9*t - o*a. What is the units digit of t?
9
Suppose -4437 = -3*s + 5604. Suppose -c + 5*a + 824 = 0, -16*c + 12*c + s = -3*a. What is the units digit of c?
9
Let p be (-2)/15 + 7024/30. Let x = p - 147. What is the tens digit of x?
8
What is the hundreds digit of 140/60 + 160216/24?
6
Let w(a) = 17*a - 7. Let x be (-6*1/1)/(4 - 6). Suppose -13 = -x*y - 2*y + 3*m, -3*m + 12 = 0. What is the tens digit of w(y)?
7
Let o(t) = -50*t + 197. Let u(l) = 52*l - 198. Let q(g) = 4*o(g) + 5*u(g). What is the units digit of q(18)?
8
What is the tens digit of (48/(-14))/((2/9968)/(11/(-22)))?
4
Let o(w) = -10*w - 179. Let d be o(-35). Let c = 261 + d. What is the hundreds digit of c?
4
Suppose -n + 5 = 0, 2*b - 3*n = -0*b - 13. Suppose -3*r - b + 13 = 0, -r = -5*z + 1631. What is the hundreds digit of z?
3
Let k = 37210 - 18492. What is the tens digit of k/13 + (-7)/((-1456)/32)?
4
Let l(i) = 78*i**2 - i + 302. What is the units digit of l(-15)?
7
Suppose 4*a = -14 + 46. Let w be (-3 + 4)/(4/a) + 86. Let x = 194 - w. What is the hundreds digit of x?
1
Suppose 4*n = -2*b + 218268, -28972 = n - 3*b - 83560. What is the hundreds digit of n?
5
Let m(x) be the second derivative of -x**5/20 + 5*x**4/12 + 5*x**3/3 - 11*x**2/2 - 2*x + 11. What is the units digit of m(6)?
3
Let f(j) = 32*j - 1. Let t be f(-1). Let v = 40 + t. Suppose -v*r + 705 = -2*r. What is the units digit of r?
1
Let r(j) = 72*j**2 - 15*j - 32. Let g = -405 + 402. What is the hundreds digit of r(g)?
6
What is the units digit of -5 + 1644/324 + 6466380/162 + -6?
0
Let v be (-3)/((-1)/4*-6). Let k(r) = 32*r - 7. Let b(s) = s. Let q(i) = b(i) - k(i). What is the tens digit of q(v)?
6
Let a be 0/((30/20)/(6/(-8))). Suppose -j - 71 = -76. Suppose a = -j*p + p + 668. What is the tens digit of p?
6
Suppose -2*t - 71979 = -4*x + 36495, -5*t = -x + 27105. What is the units digit of x?
0
Let d(p) = -3*p**2 - 6*p + 4. Let u be d(-5). Suppose 4*r + 447 = 8*r - 5*q, -5*r + 4*q + 570 = 0. Let s = u + r. What is the tens digit of s?
7
Suppose 4*l + 5*b + 8 = 0, -2*l - l + b = 6. Let p be 1*l/((-2)/(-3)). Let h = 93 - p. What is the tens digit of h?
9
Let d(y) = -11*y**3 + 2*y**2 - 14*y + 12. What is the hundreds digit of d(-8)?
8
Let p = 1273 + -478. What is the units digit of ((-3)/((-30)/8))/(6/p)?
6
Suppose 4*y - 145 = 3*n, -3*n - 111 = -3*y - 0*n. Let x(p) = 0*p**2 + 21 + y*p + 5*p**2 - 43*p. What is the tens digit of x(5)?
0
Let c = 151 - 151. What is the thousands digit of c + 2 + (6 - -1600)?
1
Let r = 12 + 12. Let b = 2431 + -2440. Let k = b + r. What is the units digit of k?
5
Suppose 20*p = 21*p + 15. Let s(y) = y**2 + 12*y - 34. Let w be s(p). Suppose -w*h = -h - 50. What is the units digit of h?
5
Let z(l) = 8*l**3 + 4*l - 2 + l**2 + 28*l**2 - 6*l**3 - 17. What is the tens digit of z(-14)?
2
Let c = -1015 - -1478. Suppose z + 4*u - 219 = 0, -4*z - c + 1313 = 3*u. What is the tens digit of z?
1
What is the tens digit of (-1130)/6*-15 - -2 - 3?
2
Let o(u) = u - 20. Let r be o(15). Let l(d) = -63*d - 13. What is the units digit of l(r)?
2
Suppose -2*t + 2*h = -h - 36, -3*t - 2*h + 67 = 0. Suppose -1880 = 11*a - t*a. What is the hundreds digit of a?
1
What is the hundreds digit of ((-18877940)/161)/20*(-14)/2?
0
Suppose -5*a + 5*j - 81 = -16, -4*a + j - 52 = 0. Let x(d) = -7*d**3 - 14*d**2 - 10*d + 1. Let w be x(-2). Let t = w - a. What is the units digit of t?
4
Let s be (-6)/6 + 1 - -13. Suppose -12*z = -s*z + 143. What is the hundreds digit of z?
1
Suppose -213 = -b + 4*u, -23 = b + 5*u - 191. Let t = b + 98. What is the units digit of t?
1
Suppose 2*q + 40571 = 5*r - 22305, 12583 = r - 3*q. What is the units digit of r?
4
Let b(t) = -7532*t - 12653. What is the units digit of b(-10)?
7
Let z(w) = 2*w**2 + 4*w - 39. Let t be z(-9). Let m = 449 - t. What is the tens digit of m?
6
What is the hundreds digit of 1 - (-12692 + (-4)/((-2)/12*4))?
6
Let j be 6/15 + 5/((-50)/5144). Let d = j - -288. What is the hundreds digit of (-4)/8*d - 0?
1
Let l be (319/33)/(3/342). Suppose -5*n + 1473 = -3*d - 1298, -2*n - 2*d = -l. What is the tens digit of n?
5
Suppose 0 = 7*d + d - 1200. Suppose -z + 150 + d = 0. Suppose 4*t + 2*t = z. What is the units digit of t?
0
Let d(o) = o**2 + 13*o + 14. Let y be d(-12). Suppose -y*l + 6*l - 52 = 0. What is the units digit of l/(-3)*(3 + -12)?
9
Let o(j) = -j**3 + 5*j**2 - 2*j - 4. Let g be o(4). Suppose 6*s - 1920 = g*s - 5*b, 2*s - 1928 = -3*b. What is the tens digit of s?
7
Let n(d) = -112*d - 110. Let t = 315 + -321. What is the units digit of n(t)?
2
Let q(w) = 9*w - 102. Let a = 79 - 63. What is the units digit of q(a)?
2
Let z = -811 - -14861. What is the ten thousands digit of z?
1
Suppose -4*r + 5*i - 31145 = -9*r, 2*i + 2 = 0. What is the thousands digit of r?
6
Let f = 281 - 278. Suppose q - 3*w - 455 = -6*w, 0 = f*q + w - 1405. What is the tens digit of q?
7
Suppose -22*d - 3 - 151 = 0. What is the units digit of 6/(-42)*6*d?
6
Suppose 11*t = 35 - 2. Suppose 2*u - 908 = -19*j + 21*j, j = t*u - 1354. What is the hundreds digit of u?
4
Let k = -10 + 62. Let p = 59 - k. Let u = p - -14. What is the tens digit of u?
2
Let r be ((-2)/8)/(6/(-48)). Let u = 332 - 298. Suppose 0 = -5*n + 2*j + 424, -r*n + 126 = -4*j - u. What is the units digit of n?
6
What is the ten thousands digit of 399222/20 + (-15)/75*(-8)/(-16)?
1
Suppose 2*j + 0*j - 4 = 0. Let o(s) = 16*s**2 - 20*s - 4*s**2 + s**3 - 5 - j*s**3. What is the units digit of o(9)?
8
Suppose -5*d - 136648 = -5*d - 19*d. What is the units digit of d?
2
Let x(d) = -10 - 3*d**2 + 9 + 2*d**2 + 75 - 4*d. What is the tens digit of x(6)?
1
Suppose -3*x + 4*m = -3773, 2*m + 1965 + 1816 = 3*x. What is the thousands digit of x?
1
Let x(p) = 2*p**3 - 47*p**2 - 26*p + 67. Let z be x(24). Suppose z*i = 1208 + 3162. What is the units digit of i?
0
Suppose 1587*w - 1580*w = 55895. Suppose -2*z = 2*x - 3182, x = -5*z + 2*x + w. What is the hundreds digit of z?
5
Suppose 245 = 14*a - 119. Let q(x) = -5*x + x**3 - 31 - 41*x**2 + a*x**2 + 10*x. What is the tens digit of q(15)?
4
Suppose t = -s + 517, 3*s + t - 1602 = -47. Suppose 7*p - s - 881 = 0. What is the units digit of p?
0
Let v = 1440 + -355. What is the tens digit of 20/(-7)*v/(-10)?
1
Let z(a) = 2*a**3 + 9*a**2 + 9*a + 3. Let u be z(-5). Let y = -65 - u. What is the tens digit of (-31*9/12)/(y/(-8))?
9
Let h be ((-28)/((-6)/(-3)*-1))/1. Let r(f) = 2*f**3 - 26*f**2 - 28*f + 8. Let c be r(h). Suppose -13*t = -c*t - 350. What is the units digit of t?
0
What is the hundreds digit of -4 + 1 - 222924/(-52)?
2
Let h(b) = b - 2. Let t(f) = -f + 1. Let x(v) = -5*h(v) - 4*t(v). Let s be x(4). Suppose l - 6 = -l, s*y = l + 217. What is the hundreds digit of y?
1
Let y = 44 + -42. Let h be 0*(-3)/6*y/(-2). Let p(c) = -c**3 + c + 74. What is the tens digit of p(h)?
7
Suppo | {
"pile_set_name": "DM Mathematics"
} |
+ 15 = -5*q, -34*q - 4*j - 36 = -22*q for q.
-3
Solve 0 = -3*n + s + 2025 - 2039, 5*s = -4*n - 25 for n.
-5
Solve -38 = 10*t - 2*y, -5*y = -91*t + 86*t - 14 - 21 for t.
-3
Solve 0 = -62*p + 57*p + 2*y + 6, -10*y + 94 = 6*p for p.
4
Solve 10*s + 14 = -4*f, 3*f = -214*s + 216*s + 18 for s.
-3
Solve 0 = -2*w + k + 2, 180*k - 184*k - 18 = -3*w for w.
-2
Solve 4*o = l - 1, -782*l + 76 = -786*l for o.
-5
Solve -3*l = -6*l - 2*o + 39, -2*l + 16*o = -8 + 34 for l.
11
Solve -481*h + 3*c + 3 = -482*h, -57 = 5*h + c for h.
-12
Solve 207*t + 6*n + 42 = 209*t, -4*t - 5*n = -33 for t.
12
Solve 3*s - 3 = -3*t, 13*t = -4*s + 18*t - 5 for s.
0
Solve 4*x - 221*w + 35 = -224*w, -36 = 4*x + 4*w for x.
-8
Solve 10 + 3 = -5*b - 3*h, 3*b + 8 = -2*h for b.
-2
Solve x - 3*h = -h - 6, -18 = 3*x - 2*h for x.
-6
Solve -4*j = 12, -4*q + 2*j - 165 = -155 for q.
-4
Solve -4*p = 3*a - 31, -5*p = 12*a - 11*a - 3 for p.
-2
Solve 6*y - 18 = 3*y + k, -32*k + 28*k = 0 for y.
6
Solve 0 = -2*p + 5*y + 39, -3*p + 23 = -300*y + 296*y - 18 for p.
7
Solve 4*d = -2*r - 12, -1426*d = -1427*d - 2*r - 9 for d.
-1
Solve 5*r = 30*b - 29*b + r - 32, 0 = -7*r - 63 for b.
-4
Solve -5*f - 10 = 2*j, -650*f = 5*j - 653*f - 6 for j.
0
Solve 6*w - w = 5, -12*n - 5*w + 0*w = -149 for n.
12
Solve -h - 1095 + 1085 = -4*l, l - 4*h = -5 for l.
3
Solve 0 = 2*z - 3*m - 14 + 22, 0 = -2*z + 5*m - 16 for z.
2
Solve -9 = y - 2684*i + 2686*i, 2*i = -8 for y.
-1
Solve -4*p + 6 = 2*t, -5*p + 9 = -38*t + 41*t for t.
3
Solve 0 = -3*j - 6, -1356 + 1366 = 4*l - 3*j for l.
1
Solve 3*t + 63 = 6*n + 57, 4*t + 22 = 3*n - 2*n for t.
-6
Solve -4*u + 40*h - 12 = 36*h, -12 = 4*u - 2*h for u.
-3
Solve -4*d = -8, 0 = -4*a + 2*d - 3*d + 10 for a.
2
Solve -451*k + 6 = 2*i - 449*k, -3*i - 3 = -3*k for i.
1
Solve 2*o = -2*z + 2, -4*o + 145 = -5*z + 123 for o.
3
Solve 3*h = 2*f - 115 + 116, 12 = -4*f - 4*h for f.
-2
Solve 3*a - 4*m + 34 = 30, 2*a = -4*m - 16 for a.
-4
Solve -1 = -3*q - w, 4*q + 477*w + 36 = 481*w for q.
-2
Solve -27 = 5*w + 4*c, -4*c = -5083*w + 5092*w + 39 for w.
-3
Solve -3*t - 4 = -4*i, -12*t + 8*t + 4 = -3*i for t.
4
Solve -4*h = 2*m + 8, -251*m - 2*h - 16 = -247*m for m.
-4
Solve 0 = 3*f + 5*z + 18, -83*f + 79*f = 2*z + 10 for f.
-1
Solve 4*o + 4 = -4*a, 114*o - 112*o = 2*a + 6 for a.
-2
Solve 5*f - 5*l - 30 = 0, 28 = -33*f + 36*f - 13*l for f.
5
Solve -4 = -c + r, 2537*r - 12 = 5*c + 2540*r for c.
0
Solve -1161 = -5*l - 4*f - 1176, 0 = -4*l - 2*f - 6 for l.
1
Solve -6*j - 8*j + c - 31 = 0, 5*c - 86 = j for j.
-1
Solve 0 = -12*m + 15*m + 3*g - 33, -2*g + 6 = m for m.
16
Solve -2686*c = 2*y - 2687*c - 6, -5*y - 63 = 4*c for y.
-3
Solve -102*u + 2*q + 11 = -107*u, -u - 2*q - 7 = 0 for u.
-1
Solve m = 2*d + 8, 1953*m - 1950*m + 3*d - 42 = 0 for m.
12
Solve -c = 6514*k - 6514*k + 4, -k + 23*c + 190 = -24*c for k.
2
Solve 220*p + 8 = -q + 217*p, -4*q - 19 = -p for q.
-5
Solve 0 = -4*j + r + 41, 116 - 131 = 3*r for j.
9
Solve 0 = 2*q - 85*n + 81*n + 8, 3*q + 4*n - 28 = 0 for q.
4
Solve -4*j - 3*j - 21 = -u, 6*j = 21*u - 20*u - 18 for j.
-3
Solve 2*k = -5*c + 33, -3*k - 9305 = 2*c - 9327 for c.
5
Solve c - 3 = 3*z, 5*c = 4*z - 1929 + 1933 for z.
-1
Solve 0 = g - i - 20, 3*g - i = 747 - 697 for g.
15
Solve 6 = -5*i - c + 17, 3*c = 48 for i.
-1
Solve 4 = 3*f + o, -8*f - 31*o = -33*o + 8 for f.
0
Solve 615 = -3*z - 5*i + 560, -z - 5*i = 65 for z.
5
Solve 19*s + d - 7 = 18*s, 70*s - 71*s - 13 = -3*d for s.
2
Solve 4*w - 17 = -3*k, 3*w + k - 45 = -31 for w.
5
Solve 3*v - 16 = 4*o, 4*v - 5*o - 12 = -2*o for v.
0
Solve u = -811*r + 809*r - 18, 4*u = 3*r + 16 for u.
-2
Solve -32 = -6*k + 4*l, 5*k - 3*l = 150 - 122 for k.
8
Solve -9*h + 27 = j, -3*h - 941*j + 9 = -942*j for h.
3
Solve -2*n = -6, 3130*n + 3 = -18*o + 3125*n for o.
-1
Solve -8*b - 25 = -3*y, -21*y = -3*b - 25*y - 35 for b.
-5
Solve 3*g = -4*p - 21, 4*p + 3276*g - 3274*g = -18 for p.
-3
Solve 4*r - 3*y = 12, 3*r + 133 - 121 = -3*y for r.
0
Solve 4 = 2*h + 4*m, -557*h + 558*h + 4*m = 2 for h.
2
Solve -9 = y + k, -2*y - 91 = -3*k - 88 for y.
-6
Solve 16 = 4*k, -61*f = -60*f - 3*k + 12 for f.
0
Solve -13*k - 13 = -14*k - a, 3*k + 4*a = 47 for k.
5
Solve -29 = -2*t + 5*u, 41*t - 2*u = 40*t + 12 for t.
2
Solve -8 - 10 = 5*m + 3*z, 4*z + 24 = 0 for m.
0
Solve 5373*s - 3 + 9 = 5378*s + c, 0 = 5*s - 3*c - 22 for s.
2
Solve 3*k - f = 16 - 12, -2*k = -11*f + 49 for k.
3
Solve 120*v - 245 = -106*j + 101*j, 2*j + v - 4 = 0 for j.
1
Solve -v = 3*c - 4, 64*c + 2*v = 67*c - 1 for c.
1
Solve -143 + 164 = 3*u + 5*x, -5*x = 2*u - 19 for u.
2
Solve -5*x - 35 = 2*j, -x + 144*j + 15 = 140*j for x.
-5
Solve 4*m = -3*y - 88, 34*y = 32*y - 3*m - 65 for y.
-4
Solve -4*i - 2*o = 10, 4980*o - 40 = 7*i + 4979*o for i.
-5
Solve -n + 2*n + 9 = g, -3*g = 3*n + 21 for n.
-8
Solve 3*n - 79*t - 23 = -78*t, 0 = -2*n - 5*t + 4 for n.
7
Solve 3 = 3*m - z, z + 130 = -3*m + 133 for m.
1
Solve -5*o - 3*w + 16 = 0, -85*w + 25 = 2*o - 90*w for o.
5
Solve 0 = -80*k + 81*k + 3*t - 3, -5*k + 4 = 4*t for k.
0
Solve 106 = -p - 4*k + 120, -2*k = -4*p - 16 for p.
-2
Solve 0 = -15*z + 16*z - 10, 13*c - 10*c + 3*z = 42 for c.
4
Solve 3*l = -5*g - 25, -5*l + 110 = 5*g + 135 for l.
0
Solve 8*z - 4 = -367*s + 363*s, 5*s - 39 = 7*z for s.
5
Solve 8*g - 4*j + 172 = 0, 107*g - 102*g - 2*j + 105 = 0 for g.
-19
Solve 3*u = m - 20, 54*u - 4*m = 55*u + 11 for u.
-7
Solve n = -3*s + 40, 12*n - 3*s - 571 + 637 = 0 for n.
-2
Solve -14 = 2*z - 24*o + 28*o, z - 2*o = 9 for z.
1
Solve -19 = -111*p + 109*p + 5*o, -3*o - 7 = p for p.
2
Solve 0 = 3*t - 9*y - 6, -649*t + 44 = -653*t - y for t.
-10
Solve -943*v - 5*h - 40 = -948*v, 4*v + 4*h + 16 = 0 for v.
2
Solve -5*d + 2*m - 22 = 0, -4*d - 412 = -m - 395 for d.
-4
Solve -7*i = 10*a - 15, 4*i - 3 = 4*a - 43 for i.
-5
Solve -45*h = 4*c - 48*h - 46, -42 = -5*c - 4*h for c.
10
Solve 30764*j - 1 = 30769*j - 2*z, 0 = 3*j - z for j.
1
Solve 9*n = -5*v + 7*n - 2, 6*n + 6 = 5*v for v.
0
Solve -3*q + 20 = -3*k + 44, 7*q - 6 = -34 for k.
4
Solve 16 = 8*i - 5*h + 2, -10 = -4*i + h for i.
3
Solve -4 = 3*h - 4*h, 5*h - 3578 + 3558 = -2*l for l.
0
Solve -n - 28 = -14*i + 11*i, -12*n = i + 3 for n.
-1
Solve -c = -4*b - 3, 0 = 5*b - 5*c - 8 + 23 for b.
0
Solve -3*u = 5*g + 35, -105*u = -108*u - g - 19 for u.
-5
Solve 4*n - 3116*l + 3115*l = 15, 0 = -2*n - 4*l - 6 for n.
3
Solve 4*f + 175 - 76 = t, 21*t - 5*f - 104 = 0 for t.
-1
Solve -2*z - u = -6, z - u - 21 = -6*z for z.
3
Solve -9*z + 3*d = -9, -9*z - 15*d + 14*d + 2 = -7*z for z.
1
Solve -83*y = -86*y + 3*u - 27, 8 = 3*y + 4*u for y.
-4
Solve 5*x - l = 3, l - 8 + 15 = x for x.
-1
Solve y - a - 7 = 0, 5665*y - 5*a = 5661*y + 29 for y.
6
Solve 0 = -m - 4*b - 35, 0 = 3*m - 4241*b + 4242*b + 17 for m.
-3
Solve 20*v - 69 = 24*v + 5*h, 0 = -4*v - 4*h - 64 for v.
-11
Solve 3 = -7*f + 2*j, -2695*j = 3*f - 2696*j + 1 for f.
-1
Solve -w - 24*g = -26*g - 4, g + 27 = 3*w for w.
10
Solve 0 = -3*a + 3, -j + a - 64 + 63 = 0 for j.
0
Solve 10 = 2*p + 2*y, -38 = -5*p - 14*y + 5 for p.
3
Solve -11*w + 9*w = -4*r + 10, 4*w - 2 = -3*r for w.
-1
Solve -4044*h - 23 = -4048*h - 3*r, 4*r - 48 = -h for h.
-4
Solve 2*y - 23 = -22151*k + 22154*k, -y + k + 11 = 0 for y.
10
Solve -4939*o + 9 = l - 4937*o, 0 = 3*l + 3*o - 30 for l.
11
Solve s + 71 = -283*t + 279*t, 5*s + 70 = -5*t for t.
-19
Solve 0 = -4*b - 5*j + 35, -3*j + 19 = 63*b - 61*b for b.
5
Solve -56*d + 60*d = 4*u - 96, 275 = 15*u + 2*d for u.
19
Solve 0 = -5*c - x + 41 - 62, -4*c = 4*x + 4 for c.
-5
Solve 5*l = -z - 51, -3*z = -315*l + 313*l - 17 for z.
-1
Solve 9*k - 11*k - 2*x - 2 = 0, -16 = k - 4*x for k.
-4
Solve 4*h - 2*p = 18, -6*p = 5*h + 34 - 82 for h.
6
Solve 0 = 3*o + 5*w + 10, 15 = -2*o - 5*w + 10*w for o.
-5
Solve 3*t + n - 45 = 0, -911*n + 913*n - 74 = -5*t for t.
16
Solve 20 = 297*s - 293*s, 19 = 3*m + 5*s for m.
-2
Solve -60 = 4*k + n, 96*k - 64 = 101*k + 4*n for k.
-16
Solve 4*g - 334*w = -335*w + 4, 2 = 2*g + 2*w for g.
1
Solve -997*z - 4*i = -998*z + 5, -i - 3 = -2*z for z.
1
Solve m = -3*k + 149 - 112, 0 = -5*m + 2*k + 100 for m.
22
Solve -31 = -5*z - 7*f, 980 = -z + 2*f + 993 for z.
9
Solve -51 = -s - 5*q - 72, 11 = -s - 3*q for s.
4
Solve 4*g - 2*b + 21 = 3, b + 251 = -50*g for g.
-5
Solve 4*i - 6 = 3*b, -5*b + 4 = 3*i + 14 for i.
0
Solve 13*g - 5*c + 7 = -2 - 3, -g = 4*c - 21 for g.
| {
"pile_set_name": "DM Mathematics"
} |
ree decimal places?
-0.037
Round 0.0029437755 to 3 decimal places.
0.003
What is -359047 rounded to the nearest one thousand?
-359000
What is 0.0506167 rounded to 2 dps?
0.05
Round 8.47246 to one dp.
8.5
Round -0.47761387 to 3 decimal places.
-0.478
What is -2009.86 rounded to the nearest 10?
-2010
Round -785314.52 to the nearest one hundred thousand.
-800000
What is -2344523000 rounded to the nearest 1000000?
-2345000000
What is 112950.43 rounded to the nearest 10000?
110000
What is -28961157 rounded to the nearest one hundred thousand?
-29000000
Round -0.000060517125 to six decimal places.
-0.000061
Round -0.000001845933 to six decimal places.
-0.000002
Round 20.35664 to zero dps.
20
What is -1543.699 rounded to the nearest ten?
-1540
What is -0.0000338515 rounded to five decimal places?
-0.00003
Round -0.000000177435 to 7 dps.
-0.0000002
What is -3243711000 rounded to the nearest one million?
-3244000000
What is 10187620 rounded to the nearest one hundred thousand?
10200000
Round 783.5553 to zero dps.
784
Round -88608.2 to the nearest 100.
-88600
What is -4.70251 rounded to 1 dp?
-4.7
What is 0.000070644 rounded to seven decimal places?
0.0000706
What is -20175600 rounded to the nearest 100000?
-20200000
What is 170.284 rounded to the nearest 100?
200
What is 1183956.9 rounded to the nearest 10000?
1180000
What is 0.00000233591 rounded to six dps?
0.000002
What is 0.041079577 rounded to four dps?
0.0411
Round 0.00002205681 to six decimal places.
0.000022
What is 0.000004785989 rounded to 7 dps?
0.0000048
What is 0.3437782 rounded to three dps?
0.344
What is 7441.9 rounded to the nearest one hundred?
7400
Round 0.033268048 to 4 dps.
0.0333
Round -0.00000149848 to seven dps.
-0.0000015
What is -0.00000297326 rounded to seven decimal places?
-0.000003
Round 568.19 to the nearest one thousand.
1000
Round -257996 to the nearest one thousand.
-258000
What is 0.0000002405393 rounded to seven decimal places?
0.0000002
Round -120796400 to the nearest 1000000.
-121000000
What is -47711300 rounded to the nearest one hundred thousand?
-47700000
What is 0.030031386 rounded to four dps?
0.03
Round 0.00146924 to three dps.
0.001
Round -401.5917 to one dp.
-401.6
What is -1289933000 rounded to the nearest one million?
-1290000000
What is 0.00241868 rounded to five decimal places?
0.00242
What is 595027.89 rounded to the nearest one hundred?
595000
What is 0.0001263716 rounded to 7 decimal places?
0.0001264
Round 0.0004796252 to 6 dps.
0.00048
Round -0.0000001843399 to seven dps.
-0.0000002
Round 0.039542982 to 3 decimal places.
0.04
Round 2866.025 to 0 decimal places.
2866
Round 0.002475704 to 4 dps.
0.0025
What is -6502.683 rounded to the nearest 1000?
-7000
Round -0.0000024527 to 6 decimal places.
-0.000002
What is 55.9486 rounded to 1 decimal place?
55.9
Round -1284988000 to the nearest 1000000.
-1285000000
Round 0.00008366 to five decimal places.
0.00008
What is 2570.74 rounded to the nearest 1000?
3000
Round 6.560915 to the nearest integer.
7
Round -37.2225 to 1 decimal place.
-37.2
What is -6624.689 rounded to zero decimal places?
-6625
Round -111.6438 to the nearest 10.
-110
What is 15.28622 rounded to one dp?
15.3
Round -0.6459429 to one dp.
-0.6
What is 480.89503 rounded to one decimal place?
480.9
Round -0.0006139883 to four dps.
-0.0006
What is 0.00025466594 rounded to 7 decimal places?
0.0002547
Round 0.00290978 to 5 decimal places.
0.00291
What is -0.0000025574602 rounded to seven decimal places?
-0.0000026
What is 584212.3 rounded to the nearest 100000?
600000
Round -0.00665301 to three dps.
-0.007
What is -24.828231 rounded to the nearest ten?
-20
What is 0.00292962 rounded to six decimal places?
0.00293
What is 19298.72 rounded to the nearest ten?
19300
Round -517639000 to the nearest one million.
-518000000
Round 5.12065 to the nearest integer.
5
Round 99.41366 to zero dps.
99
What is 9258.7 rounded to the nearest one thousand?
9000
What is -91.8397 rounded to the nearest one hundred?
-100
What is 184.99488 rounded to the nearest ten?
180
What is -1.996674 rounded to two dps?
-2
Round -5538155 to the nearest ten thousand.
-5540000
Round 0.0000316347 to 7 dps.
0.0000316
What is 0.001181565 rounded to 6 dps?
0.001182
Round -0.019411145 to 5 dps.
-0.01941
What is 0.002054044 rounded to four dps?
0.0021
Round 0.0047559843 to 5 decimal places.
0.00476
Round 0.0593599 to four dps.
0.0594
What is 225.804 rounded to 1 decimal place?
225.8
What is -0.00005787226 rounded to 6 decimal places?
-0.000058
What is -0.001539695 rounded to 4 dps?
-0.0015
Round 0.00951971 to three dps.
0.01
Round 0.0000541833 to 7 decimal places.
0.0000542
What is -10.095296 rounded to 1 dp?
-10.1
What is -4523.96 rounded to the nearest 1000?
-5000
What is -2487.1305 rounded to the nearest 100?
-2500
What is 0.00000187824 rounded to six decimal places?
0.000002
Round 0.000141584 to five dps.
0.00014
What is -0.02898369 rounded to four decimal places?
-0.029
What is 11013 rounded to the nearest one hundred?
11000
Round 174.422 to the nearest 10.
170
Round 1.0103461 to 0 decimal places.
1
What is -2028.0629 rounded to the nearest 10?
-2030
Round -142189640 to the nearest 10000.
-142190000
Round 0.002003442 to 6 dps.
0.002003
Round 10989590 to the nearest 1000000.
11000000
What is 0.00016063358 rounded to 7 decimal places?
0.0001606
What is 0.00009193149 rounded to seven dps?
0.0000919
What is -0.0081783 rounded to 4 dps?
-0.0082
Round 185902 to the nearest ten thousand.
190000
Round 126624.3 to the nearest 100.
126600
What is -126387.3 rounded to the nearest 100?
-126400
What is 0.008369431 rounded to 3 decimal places?
0.008
Round 14.48764 to one dp.
14.5
What is -2212386 rounded to the nearest ten thousand?
-2210000
Round -5.56888 to two dps.
-5.57
Round 398220700 to the nearest 1000000.
398000000
What is 0.196857 rounded to two dps?
0.2
What is 14.4213 rounded to 1 decimal place?
14.4
Round 21193114 to the nearest 100000.
21200000
Round 0.6335845 to four dps.
0.6336
Round -0.000049994 to 7 dps.
-0.00005
Round -0.0000630532 to 6 dps.
-0.000063
What is 4869059 rounded to the nearest ten thousand?
4870000
What is -1.17117 rounded to two decimal places?
-1.17
Round -0.00126293 to 6 decimal places.
-0.001263
Round 989620 to the nearest 10000.
990000
Round -786061 to the nearest one hundred thousand.
-800000
Round 1328.0893 to the nearest 100.
1300
What is 334638.3 rounded to the nearest 100?
334600
Round 0.0000984642 to 6 decimal places.
0.000098
Round 55954.1 to the nearest 1000.
56000
What is -0.8069494 rounded to three dps?
-0.807
Round -27477.1 to the nearest one thousand.
-27000
Round 26128639 to the nearest 10000.
26130000
What is 1.36777 rounded to one dp?
1.4
What is 70.45142 rounded to the nearest 10?
70
Round -0.002891328 to three dps.
-0.003
Round -447.6368 to the nearest 10.
-450
What is 0.000003258083 rounded to 7 decimal places?
0.0000033
Round 0.027707 to 4 dps.
0.0277
Round -0.000003139287 to 6 dps.
-0.000003
What is -0.00026972201 rounded to 6 decimal places?
-0.00027
What is 0.0949689 rounded to two decimal places?
0.09
Round 2430.87 to the nearest ten.
2430
Round -3188.162 to the nearest 10.
-3190
Round 302039000 to the nearest one million.
302000000
Round 5956800 to the nearest one million.
6000000
Round 0.0000006148147 to seven dps.
0.0000006
Round -0.00000512403 to 6 dps.
-0.000005
Round -0.004879685 to 4 decimal places.
-0.0049
What is 0.184882 rounded to two decimal places?
0.18
What is 815200 rounded to the nearest 1000000?
1000000
Round 3591.9 to the nearest one hundred.
3600
Round 1.10723 to the nearest integer.
1
What is -10153.59 rounded to the nearest 10?
-10150
What is -10138.76 rounded to the nearest one hundred?
-10100
Round -77627.546 to the nearest 10.
-77630
Round 7266.942 to the nearest integer.
7267
What is 21.2106 rounded to the nearest ten?
20
Round 0.00000106479 to seven decimal places.
0.0000011
Round -15096311 to the nearest 1000000.
-15000000
Round -68.5974 to the nearest ten.
-70
Round 0.0233888 to two dps.
0.02
Round -0.003352506 to 6 dps.
-0.003353
What is 15317.151 rounded to the nearest 100?
15300
Round 7922.196 to the nearest 1000.
8000
What is 90.12702 rounded to the nearest integer?
90
Round -27352.93 to the nearest 100.
- | {
"pile_set_name": "DM Mathematics"
} |
(-3 - -10 - 8).
13
What is 64 + 17 + -20 + -35?
26
Calculate 2 + -1 + -197 + 207.
11
Evaluate (2 - -2) + (-1 - 4 - (44 - 47)).
2
32 - (33 - 23) - -12
34
Calculate (570 - 571) + (-3 - -35).
31
What is -1 - -18 - (14 - 11)?
14
What is the value of (-45 - -64) + -9 + 2 + -18?
-6
Calculate -7 - -1 - -3 - (34 + -23 + 7).
-21
What is (-211 - -230) + (4 - (2 - 1))?
22
What is the value of -2 + 6 + -13 - 4?
-13
What is -2 - (11 - (6 - -2))?
-5
Evaluate 8 + -8 + (-4 - -14).
10
(27 - 74 - 5) + 33
-19
Evaluate 2 + 5 - (-2 - 0 - (-42 + 23)).
-10
What is the value of (-911 - -924) + -13 + -4 + 2?
-2
Calculate 22 + -4 + -15 - 28.
-25
-1 + -3 + (27 - 8) + -8
7
3 - 5 - (-3 - (-3 - (-7 + 6)))
-1
Evaluate 9 - ((1 - 2) + (-17 - -15)).
12
Evaluate -9 - (-9 + -10) - (-6 - -21).
-5
What is the value of 42 + -37 + (6 - 3 - 1)?
7
-11 - (11 - (-7 + 38))
9
Calculate -1 + -16 + 11 - (21 + -31).
4
What is -32 + (-19 - -15) - -26?
-10
What is (-24 + 9 - -20 - -5) + 4?
14
Calculate 7 - 1 - (-7 + 7 + 6).
0
Evaluate 11 + -42 + (9 + 6 - 7) + -5.
-28
What is -13 + (-14 + 50 - 20)?
3
-507 + 497 - (0 - 14)
4
What is -9 - -14 - -7 - 11?
1
Calculate (6 - (-13 - -3) - 11) + -4.
1
What is the value of -802 + 804 + 1 + -12 + 1?
-8
Evaluate 5 + (1 - 14) + -147 + 148.
-7
Evaluate -9 + (0 + 2 - -8 - (-149 - -150)).
0
Calculate (-11 - (8 - 14)) + 2 + -2 + -4.
-9
Calculate (-16 - (-14 + 17 + -18)) + (17 - 0).
16
Calculate 0 + -9 + 6 + 5 - (-9 - -3).
8
6 + 6 + -1 + -13
-2
What is (-19 - (-17 - 13)) + (-6 - 18)?
-13
Evaluate 33 + -23 + -12 - 16.
-18
Calculate 7 - (16 - (5 + -7 - 1)).
-12
-47 + 39 - (-1 + 12) - -6
-13
Evaluate 3 - (9 + -6 + 11) - -11.
0
Calculate 2 + -22 - (16 - (-19 + 46)).
-9
-5 + (10 - (-14 + 13)) + 2
8
Calculate ((-3 - -2) + 10 - 10) + 15.
14
Calculate 13 - (25 + 13 - 4) - 2.
-23
Evaluate (7 - ((-14 - -7 - -15) + -2)) + 10.
11
Calculate -1 + (-1 + 7 - (94 - 75)).
-14
What is -10 + (-7 - -39 - 14)?
8
Evaluate -1 + 2 + -4 + 0 + 6 + 9.
12
What is the value of -8 + (-6 + 8 - (10 + -29))?
13
What is the value of -24 + 59 - 53 - 16?
-34
Calculate -2 + 3 - (14 + 0 + -6) - 2.
-9
What is the value of -1 + 3 + (-8 + 13 - 2) + -3?
2
Calculate 27 + (-30 - (8 - 1)).
-10
What is 12 - -1 - (-24 + 8) - 9?
20
What is the value of (-14 - -1) + (84 - 75) - -3?
-1
What is the value of -9 + (-2 + 19 - (11 - 6 - 2))?
5
Evaluate 9 - (0 - -8 - (73 + -41 - 21)).
12
What is -7 - (-44 + 50 + 0 + -5)?
-8
-6 + 1 + (-53 - (-31 + -34))
7
-1 + (8 - 7) + 7
7
Evaluate (7 - 3) + -10 + -19 - (2 + -9).
-18
Calculate 88 + -94 + (1 - 1 - -27) + -6.
15
-22 - (5 + (-16 - -10)) - (1 - 12)
-10
Calculate 2 + 25 + 29 - 31.
25
-1 - (8 + 11 + -9 + -2)
-9
What is the value of -2 - (-1 + (-29 - 8) - (-10 - 0))?
26
10 - (9 - (1 - -11 - (-5 + 1)))
17
What is -8 - (7 - 20 - -4)?
1
What is the value of -23 + 12 + -34 + 39?
-6
Calculate (-2 + 14 - -4) + 5 + -1 + 3.
23
What is 35 - (27 + 32 + -18)?
-6
Evaluate 125 + -131 - (0 + -1) - (1 + 8).
-14
What is the value of 1 + -8 + 14 - (-5 + -1) - -7?
20
What is the value of (-2 - -15) + -17 + -4 + 5?
-3
What is the value of 18 - (-28 + 33 + 19)?
-6
Evaluate 27 + (14 - 46) + 6.
1
What is the value of (0 - (23 + -7 - (6 + 0))) + -4?
-14
What is ((-11 + 3 - -13) + -7 - 4) + -6?
-12
15 + -21 + -5 + 8
-3
What is (-1 + -2 - -8) + (-7 + -25 - -7)?
-20
(-30 - -20 - -19) + (-17 - (-3 - 0))
-5
Calculate 14 + (-4 - (2 - 15) - 17).
6
What is the value of -8 + (4 + 5 + -5 - -6) - -3?
5
What is the value of 2 - (9 + -6) - (0 - -9)?
-10
Evaluate 41 + -52 - (-3 + -3).
-5
Calculate -17 + 54 + -48 + (0 - -1) + -1.
-11
What is the value of 16 + -29 + 0 + 8?
-5
What is the value of 6 + -4 + -4 + -6 + -2?
-10
What is the value of -9 + -7 + -9 + 7?
-18
Evaluate 160 + -144 - (0 + (-2 - -3) + 6).
9
Calculate -1 + 4 + (1 - (-1 + -3)) + -1.
7
What is 1 + 3 + (-10 - 15 - -13) - 2?
-10
What is 0 + 4 + (-15 - -15) - -23?
27
What is the value of (16 - 12) + (1 - -6 - -1)?
12
Calculate -2002 + 2025 - ((-3 - -1) + -6).
31
What is the value of 53 - 25 - (6 + 0)?
22
What is the value of 16 + -8 + -2 + -2?
4
Evaluate -7 - -1 - (19 + -45 + 14).
6
Evaluate -20 + (8 + -26 + 6 - (-12 - -9)).
-29
What is the value of 15 + -3 + -1 - (12 + -2)?
1
Calculate 53 + -40 + -34 + 13.
-8
What is the value of 1 - 2 - (-3 - 16) - (1 - -6)?
11
What is the value of 19 - (10 + (7 - 12 - 3) + 9)?
8
Calculate -4 - (3 + (-46 - (-11 + -6 + 9))).
31
What is the value of -1 + -5 - ((-4 - (-3 + 11)) + -13)?
19
13 + 1 + (0 - 2) + -3
9
Evaluate 187 + -178 + (7 - (-1 + 0 + -2)).
19
What is the value of 29 - -27 - 63 - (-1 + 0 + -24)?
18
What is the value of 2 + -20 + (149 - 133)?
-2
What is the value of -3 + -22 + (38 - 4)?
9
What is -30 + 27 + 2 - -5?
4
What is (7 - 2) + (93 - 96) + (8 - -1)?
11
What is the value of (1 - 8) + 113 + -111?
-5
Calculate (7 - 2) + 19 + 5 + -10.
19
What is -6 + 7 + 4 - 3 - 7?
-5
7 - (-9 - (-8 + -7))
1
-32 + (-1 - (2 - 10)) + (224 - 225)
-26
What is 9 + 7 - (-5 + 15)?
6
Calculate -36 + -1 + (234 - 211).
-14
What is -8 - (32 - (-7 - -65))?
18
Evaluate 40 + -15 + 0 - -8.
33
Calculate (-4 - 35) + 21 + 35.
17
Calculate (-1 - (-3 - (1 - 13))) + -13 + 10.
-13
Calculate -1 + 1 - ((-3 - 4 - -1) + 8).
-2
-5 + -2 + -1 - (14 + (10 - 22))
-10
Calculate 1 + -14 - 1 - (43 - 46 - 1).
-10
What is the value of (16 - (18 - 6)) + -12 - -1?
-7
16 + (-32 - -26) + 2
12
Calculate 9 + -5 + (10 - 1) + (-2 - -1).
12
Evaluate 0 + 29 + (10 - 2 - 1 - 3).
33
Evaluate -14 - 1 - -3 - 14.
-26
What is (-2 + 1 - ((-3 - -14) + -5)) + 1?
-6
(-5 + 0 + 1 - -10) + -17
-11
Calculate -12 + 4 + 0 + 27 + -9 - 8.
2
Calculate (-2 - 0) + -306 + 332.
24
Calculate 531 + -498 - ((-2 + 2 - -7) + 2).
24
Evaluate 248 - 223 - (9 - (0 - 0)).
16
Calculate -2 - (943 + -942 - (-1 + 9 + 0)).
5
Evaluate -82 + 88 + 1 + (-1 + 2 - 1).
7
-6 + 9 + 0 + -6 + 7 + -15
-11
Calculate -17 - (10 + 3 - 15).
-15
2 - ((1 - 7) + (114 - 109))
3
(43 - 2) + (-864 - -825)
2
What is the value of 25 + -30 + (61 - 29)?
27
What is 9 + -6 - -5 - 4?
4
What is -53 + 61 + -11 - (0 + (-8 - -1))?
4
Calculate (8 - 0) + 20 + -14 + -5.
9
Calculate 7 + 9 + (4 - 13) + 3.
10
What is -7 + (7 - -3) - (27 + -15)?
-9
What is the value of 25 + 0 + -10 + 3 - 7?
11
What is the value of (2 - -35) + (21 - 3) + -26?
29
Calculate (55 - 64) + 23 + -1 + -1.
12
Calculate (3 + -13 - -23) + -3.
10
-9 + (26 - -5) + 4 + 2 + -4
24
What is the value of 357 - 372 - (-3 + -32)?
20
What is (840 - 824) + 1 + (-1 - 2)?
14
-29 + 36 - (-6 - 0)
13
(11 - 10) + 2 - 17
-14
What is -44 - -2 - (-32 + -12 + 33)?
-31
-5 - (-3 - (10 + -3 + 0) - 4)
9
Evaluate 1 - (40 - 15 - 15).
-9
Calculate -16 - 2 - (-19 - -9) - (-4 - -1).
-5
What is the value of -37 + (23 - (-18 + 13))?
-9
Evaluate 10 + -7 - (1 + -5 + 0 + -1).
8
What is the value of 5 + -1 + -1 - (20 - (6 + 8))?
-3
Calculate 1 + -1 + (1 - -1) + 487 + -509.
-20
-8 - (-3 - 2) - -7 - -8
12
What is 1 + 6 - (13 + -37 + 35)?
-4
Calculate 3 + -10 + 29 + 6 + -30.
-2
32 + -6 + 16 - 26
16
8 - (6 + (-3 - 0 - -8))
-3
Evaluate 6 + -15 + 10 + 2 - 0.
3
Evaluate -8 + ((-1 - 3) + -6 - (-46 - -50)).
-22
3 + (14 - 15) + -3
-1
(13 - (6 + 2)) + 3 + 8
16
Calculate 3 + -4 + (0 - 2 - (81 - 99)).
15
What is the value of -17 - (7 - (9 + 7))?
-8
(4 - -2) + 4 + -27 + (10 - 1)
-8
Evaluate (0 - -16 - (-244 + 253)) + 5.
12
Calculate 19 + 0 + -10 + 14 + -13.
10
What is (-65 - -66) + (1 - -8) - 3 - 11?
-4
(8 - (3 - (-3 + 9))) + 24
35
Calculate (-6 + 8 - 0) + 0 + 1 - -1.
4
What is -3 - ((4 - 8 - -3) + -5 + 5)?
-2
Calculate 1 + -3 + 7 - (-32 + 28).
9
Calculate 1 + (-4 - -11) + -9.
-1
Calculate -6 - -11 - 1 - ((18 - 8) + -3).
-3
Calculate 24 + 0 - (-374 - -385).
13
Calculate 0 - (-8 + 26 + -7).
-11
-5 - -7 - (5 - 2) - (71 - 82)
10
What is 0 + 17 + -19 + 12 + 2?
12
-2 + -10 - ((3 - -16) + -40 + 19)
-10
Evaluate -2 - -7 - 8 - -13.
10
Evaluate 4 + (3 - 2 - 5 - -30) + -2.
28
What is -10 - (-14 - (22 - 14 - -4))?
16
(-2 - -2 - (-16 + -11 + 27)) + -4
-4
3 - (-12 + 12) - 21
-18
27 - ((-8 - -11) + 13)
11
Evaluate 1 - (-112 + 118 - (-1 - -18)).
12
Calculate 0 - (-114 + 113 + -11 + 0).
12
(-8 - -1) + 21 - 7
7
What is 18 - (0 - (15 + -23))?
10
What is 10 - ((4 - -2) + -5) - (-3 + 3)?
9
-5 - (3 - 9) - (-1 - 5)
7
Calculate -9 + -1 + 7 + -57 + 55.
-5
What is (-1 - 6 - -11) + 1 + 5?
10
(25 - (16 + 10)) + -18
-19
Evaluate -11 + (-29 + 44 | {
"pile_set_name": "DM Mathematics"
} |
5 (c) 1 (d) -2.92 (e) 3
d
What is the nearest to -39.2 in -2, 32, -5?
-5
What is the nearest to -0.09 in 3, -19.5, 0.4?
0.4
Which is the closest to 7? (a) -0.2 (b) -4 (c) -0.034 (d) 5
d
What is the closest to 536 in 0.02, -1, -1/2?
0.02
Which is the nearest to 0? (a) 0.132008 (b) 5 (c) -0.4
a
Which is the closest to 0? (a) 1/4 (b) -28 (c) -5/18
a
What is the nearest to 0 in 27, -1/9, -3, -2?
-1/9
What is the closest to 47 in 6, -1, -4?
6
What is the nearest to 1 in 2/7, -0.01, -5, 0?
2/7
What is the nearest to -6 in -37, 0.2, 3, -119?
0.2
Which is the nearest to 9550? (a) 0.4 (b) -3 (c) 2/7 (d) 0.3
a
Which is the nearest to 8/3? (a) -356 (b) 0 (c) -0.01
b
What is the nearest to 0 in -1, -23/47, 2, -0.05?
-0.05
Which is the nearest to -2? (a) 5 (b) -0.2 (c) -8/21
c
Which is the nearest to 3/25? (a) -0.2 (b) -1 (c) 29
a
What is the nearest to 2/5 in -1, -2, -3/349, 0?
0
What is the nearest to 1 in -0.1, -4, 2, 4, 1/201?
1/201
What is the nearest to 0.2 in 1, -1/18, 2/11, -4, -0.02?
2/11
Which is the closest to -564? (a) -1/9 (b) -5 (c) -3
b
Which is the closest to -0.3? (a) 4 (b) 0 (c) 1/3 (d) -2.08
b
What is the closest to 0 in -3.5, 0.044, 3?
0.044
Which is the nearest to -1/40? (a) -5/3 (b) -343 (c) 0.2 (d) -39
c
Which is the closest to -2? (a) 289 (b) 2 (c) 2/9
c
What is the nearest to -2.6 in -6, -0.045, -2/3?
-2/3
What is the closest to -188 in 1/3, 3, 0.4, -0.8, -0.2?
-0.8
Which is the closest to -0.3? (a) 1 (b) -5 (c) 3/22520
c
Which is the closest to 49/8? (a) 4 (b) -2 (c) -10
a
Which is the closest to -5/8? (a) -0.1 (b) -0.4 (c) 0.4 (d) -1/5 (e) -53
b
What is the closest to -1/8 in -197, -67, 1?
1
Which is the closest to -1? (a) -30 (b) -0.5 (c) 10/7 (d) -4
b
Which is the closest to -18/19? (a) 4 (b) -1/5 (c) 0.553
b
Which is the closest to -2/19? (a) 0.07 (b) 4 (c) -0.2
c
What is the nearest to 0.1 in 69, -2, -1/6?
-1/6
Which is the closest to 4? (a) -5 (b) 345 (c) -390
a
What is the closest to -3/4 in 3, 9, -35, 29?
3
Which is the nearest to -1/2? (a) 0.5 (b) -0.1 (c) 736 (d) 1/4 (e) 16
b
Which is the closest to 2/5? (a) -0.3 (b) 0.5 (c) -93/140 (d) -0.1
b
Which is the nearest to 1/3? (a) 3/4 (b) -1/7 (c) -4.6 (d) 5
a
Which is the closest to -2/5? (a) 1/4 (b) -0.4 (c) 7/2 (d) 38/59
b
Which is the nearest to 0.1? (a) -0.5 (b) 2978/35 (c) -1
a
What is the closest to 0.2 in 5, 11, -5/28?
-5/28
Which is the closest to 34/49? (a) -0.4 (b) 4/5 (c) -3.3
b
What is the closest to -1 in 13, 0.24, -0.1161?
-0.1161
Which is the closest to -2? (a) -128.9 (b) -35 (c) 0.2
c
Which is the closest to -24? (a) -5 (b) 83 (c) -7/24
a
What is the nearest to 10 in 0.04, -23, 2, 2/3, -2/15?
2
What is the nearest to 10 in 0.2, -104, 0?
0.2
What is the closest to -0.1 in 3.5, 3, 3.38?
3
What is the closest to -161644 in -0.4, 0.1, 0.3, -0.3?
-0.4
What is the closest to 1/31 in -3/4, -1/17, -1?
-1/17
Which is the nearest to 0.01? (a) -4/89 (b) 0.5 (c) 15
a
Which is the closest to -0.1? (a) 14 (b) 1 (c) -0.5 (d) -10
c
What is the closest to -3 in 3, -4, 59446, 2?
-4
What is the closest to 0.1 in 2/11, -2/7, -5/106, -4/5, 29?
2/11
Which is the nearest to -2/5? (a) 22753 (b) -1/9 (c) 0.5
b
What is the nearest to 222 in -1/3, -105, 0.2?
0.2
What is the nearest to -2 in 2, -10, -5/14, 0?
-5/14
What is the closest to 0 in -1, -7/166, 2, -3?
-7/166
What is the nearest to 0.1 in 4, -44/9, 0.036, 0.4?
0.036
What is the closest to -2.7 in -4, -2/29, 0, -0.3, 7/2?
-4
What is the closest to 6 in 5, 0.5, 262?
5
Which is the nearest to 2? (a) -5/3 (b) 1199 (c) -0.08 (d) 0.2
d
Which is the nearest to -597/4? (a) -5 (b) 2/9 (c) 1 (d) 2/5
a
What is the closest to -1/3 in -348/5, -2/9, -0.7?
-2/9
Which is the closest to -2/3? (a) 0.27 (b) -0.07 (c) 0.09
b
Which is the closest to 2? (a) 4/13 (b) -3 (c) -4/5 (d) 0.04 (e) 2.8
e
Which is the closest to -2/9? (a) 1/3 (b) 6/23 (c) -2 (d) 3.1
b
What is the nearest to 0.2 in 0.3, -0.1, 1/4, 0, 52.72?
1/4
Which is the closest to 2/7? (a) -2 (b) 1/10 (c) -1 (d) 7/23
d
What is the closest to -0.04 in 1447, 0, -4.7?
0
Which is the nearest to 3? (a) 0.2 (b) -32 (c) -0.6 (d) -0.07 (e) 1
e
What is the nearest to 2/5 in 0, 5, 27545?
0
What is the closest to -8 in 4, 4.6, -0.01, -11?
-11
Which is the nearest to 0.1? (a) 0 (b) 4/7 (c) -1 (d) -1/15
a
What is the nearest to 0.194 in -0.5, 1, -496, 4?
-0.5
Which is the closest to 29? (a) 11 (b) -3 (c) -2/85
a
What is the closest to -3/2 in -0.3, 8/9, 7, 5?
-0.3
What is the nearest to -11 in -4, -1, -2, -27?
-4
What is the closest to 2/9 in 0.1, 997, 31?
0.1
What is the nearest to -1/5 in 3, -1, -2/77, -5?
-2/77
What is the closest to 4 in -0.3, -2208, 1, 5, 0.1?
5
What is the closest to 7/4 in -0.0446, -4, 43?
-0.0446
What is the closest to 1 in -26.6, 1/7, 11, 0.5?
0.5
What is the nearest to 0 in 1, 2/17, 0.008?
0.008
What is the nearest to 2/3 in -5, 3, 2/41, -15, 2?
2/41
What is the nearest to -6 in -641, -1, 1, -1/4?
-1
Which is the nearest to 1? (a) 0.03 (b) 31 (c) -23
a
What is the closest to 37 in 5, -3.2, 0.2, -0.5?
5
Which is the closest to 12/13? (a) 279.4 (b) -3 (c) 1/4
c
Which is the closest to -1? (a) -1/75 (b) 3/5 (c) -4/3
c
Which is the closest to 1/8? (a) -0.1 (b) 0.5 (c) -6/5 (d) 643
a
Which is the closest to 0? (a) 6/5 (b) 0 (c) -203 (d) 3.91 (e) 0.4
b
What is the closest to -71 in -5, 4, 0, 5, 4/7?
-5
What is the closest to -14/3 in 27, -4, 0.044?
-4
Which is the closest to 8? (a) -0.2 (b) 4 (c) -1997.7
b
Which is the closest to 0.09? (a) -2/7 (b) 12 (c) -0.01 (d) 2/11 (e) -1/10
d
What is the closest to -3 in 2/499, 9, -4/13?
-4/13
What is the closest to 1738 in 1, 5, -14?
5
What is the closest to 0.2 in -2586, -3/4, 0, 4?
0
What is the closest to 79 in 2/3, 3, 2?
3
Which is the closest to -0.1? (a) -2 (b) -1/7 (c) 0 (d) -4 (e) 1952
b
Which is the closest to 33? (a) 3 (b) 4/27 (c) -3/5 (d) 0.3
a
What is the nearest to 2.6 in -0.5, -96, -0.28?
-0.28
What is the closest to 1 in -3, 8, -2/21, 363?
-2/21
What is the nearest to 241 in -1, 0.59, 0, 2, 5?
5
What is the closest to 13.5 in 26, -1/3, 0, -2, 4?
4
What is the closest to 4/7 in 1, -0.4, 5/12, 110/9, 2/9?
5/12
What is the nearest to 0 in 0, -1/4, 6?
0
What is the nearest to -1/2 in -7/5, -0.5, 69, -2/3, -5?
-0.5
Which is the nearest to -21/4? (a) -46 (b) -2 (c) -2/7
b
Which is the closest to 14? (a) -1.24 (b) 2.5 (c) 5
c
Which is the closest to -1/2? (a) 4 (b) 15.78 (c) 0
c
Which is the closest to 11/12? (a) -2 (b) -1/5 (c) -1/2 (d) 2
d
What is the nearest to 0 in -4, -5, 0, -12/13?
0
Which is the closest to 0? (a) -0.04 (b) -1 (c) -0.1091 (d) 0
d
What is the nearest to 1/10 in 0, -7/110, 8, -2/11?
0
What is the closest to -1 in -4, 6, 189, -2, 4?
-2
What is the nearest to -0.219 in -0.5, 5, -41, -2/11, -0.2?
-0.2
Which is the closest to -0.11? (a) -0.27 (b) 1/3 (c) -2/9 (d) -1 (e) -8
c
What is the closest to 2 in 2/7, 0.17, 1/14, 7/4?
7/4
What is the closest to -1/3 in -2/27, -0.4, 1, -4?
-0.4
Which is the closest to 1/26? (a) -7/3 (b) -18/5 (c) -2/9
c
Which is the nearest to -7/6? (a) 1 (b) -2 (c) 70 (d) 0
b
What is the closest to 2/7 in 0.4, -4/69, -12, 2?
0.4
What is the nearest to -1/4 in 1, 18, 11, -10/3, 3?
1
What is the nearest to 1 in 20, 31/6, 1/81?
1/81
What is the nearest to -78 in -4, -3, 3/11?
-4
Which is the closest to 198? (a) 3 (b) -2 (c) 5/12
a
Which is the nearest to 0.77? (a) -2/5 (b) -0.5 (c) 7 (d) -1/3
d
What is the nearest to 0.12 in 1/35, 0.1, 3, -5?
0.1
Which is the nearest to 2/9? (a) 0.3 (b) -31 (c) 59 (d) -4
a
Which is the nearest to -2? (a) 1/2 (b) -12 (c) 15 (d) -4
d
Which is the nearest to -2? (a) 32/101 (b) 3/2 (c) -2
c
What is the closest to -0.3 in 2, 63.48, -4?
2
Which is the closest to 387? (a) -3 (b) -637 (c) -2
c
Which is the nearest to -9? (a) 2/11 (b) 1/4 (c) 0.0785 (d) 0.4
c
Which is the nearest to -1? (a) 2/9 (b) 654 (c) -0.5 (d) 44
c
What is the closest to 1087 in 3/2, 0.06, 1, -2/13, 0.1?
3/2
Which is the closest to 0? (a) 4 (b) -31 (c) -9 (d) -4/33 (e) 2/9
d
Which is the closest to 421? (a) 4/3 (b) 2/3 (c) 0.4
a
What is the nearest to 13 in 0 | {
"pile_set_name": "DM Mathematics"
} |
-2 + 1.8. Sort y, r, -2/7 in descending order.
y, r, -2/7
Let l be (119/(-21) - -6) + 29/(-69). Put -5, -1/3, 4, l in ascending order.
-5, -1/3, l, 4
Let v be -9*-3*(-4)/36. Sort v, 4, -1.
v, -1, 4
Suppose i = -2*c + 5*c + 24, -3*i = -5*c - 40. Let z be ((-3)/(-2))/(3/c). Let m(k) = 2*k - 2. Let r be m(3). Sort r, z, -3.
z, -3, r
Let k = -0.01 - 0.01. Let p = k + 2.02. Sort -2/11, p, -0.3.
-0.3, -2/11, p
Let o = -0.3 + 0.4. Let d = -0.3 + o. Sort d, 2/5, 2 in descending order.
2, 2/5, d
Let i = 63.7 + -64. Let s = 1.99 + 0.01. Let w = 2.4 - s. Sort w, i, 4.
i, w, 4
Let d = 4 - 4. Suppose 4*v + v - 10 = d. Let p = 1 - 1. Put p, -4, v in decreasing order.
v, p, -4
Let m be -1*1/((-1)/(-4)). Let i be 2 + -2 - (2 + -2). Suppose -10 = 5*f + 5*n, 2*n - 3 = -4*f - 13. Sort m, f, i in decreasing order.
i, f, m
Let r(d) = 0 + 8*d - 2 + 5 - 5. Let m be r(-8). Let z = -326/5 - m. Sort z, -5, -1/3 in descending order.
z, -1/3, -5
Let p(u) be the second derivative of -u**4/12 + 4*u**3/3 - 4*u**2 + u. Let o be p(7). Sort 0, 1, o in decreasing order.
1, 0, o
Let h = 8 + -9. Let t = 7 + -5. Let k be (-5)/t*32/(-140). Put h, 0.3, k in increasing order.
h, 0.3, k
Suppose -2*n + 24 = -5*k, -4*n - 6 = n + 4*k. Let g(r) = r + 10. Let c be g(-13). Sort c, n, -1.
c, -1, n
Suppose 0 = -5*o + 3*o - 10. Let m be o/9*8/20. Let i = -3 - -7. Put i, 2, m in increasing order.
m, 2, i
Let g = -23.6 + 24. Sort 2, g, 4 in increasing order.
g, 2, 4
Suppose 0 = h - 2*h. Let c(a) = -a - 6. Let d be c(-4). Sort -3, h, d in increasing order.
-3, d, h
Let p = 0.2 + -2.2. Let a be ((-57)/(-126))/1 + (-1)/6. Put p, 0.4, a in ascending order.
p, a, 0.4
Suppose -5*j - 1 = 9. Let n(u) be the second derivative of u**5/20 - u**4/12 - u**3/6 - 3*u**2/2 - 2*u. Let b be n(0). Put 3, b, j in decreasing order.
3, j, b
Let n = -1.1 + 1. Suppose -2*a + 0*a - 3*z + 26 = 0, -4*a + 84 = -2*z. Let d = -16 + a. Put n, 5, d in descending order.
5, d, n
Let w be (-6)/44*(-4)/(-3). Let r = 6 - 2. Sort r, -2, w.
-2, w, r
Let x = 0.157 - -3.923. Let a = 0.08 - x. Let d = -1/3 - -5/24. Sort a, d, -0.3.
a, -0.3, d
Let g(k) = k**3 + 10*k**2 - 9*k + 15. Let j be g(-11). Let a = j + 11. Put -2/3, a, 1 in decreasing order.
a, 1, -2/3
Suppose 4*x = 44 - 60. Sort -5, x, 19 in descending order.
19, x, -5
Suppose 0 = x + 3 - 1. Let b be (-5)/x*(-30)/(-25). Suppose -7 - 8 = -b*a. Sort a, 2, 0 in descending order.
a, 2, 0
Let c = -10 + 11. Sort 4, -2, c in descending order.
4, c, -2
Let q be 6/4*8/78. Let d = -0.2 + 1.2. Sort d, -5, q.
-5, q, d
Let u be (-27)/60 - 1/(-4). Let g be (4/12)/(1/15). Put u, -5, g in decreasing order.
g, u, -5
Let s be (6/4 - 2)*4. Let h(k) = k**2 - k + 1. Let o be h(2). Sort o, s, 0 in decreasing order.
o, 0, s
Let k(x) = -2*x + 8. Let y be k(7). Let i = y - -6. Sort i, -0.2, -2 in descending order.
i, -0.2, -2
Suppose 2*f = 2*y - 16, 0 = -0*f - 4*f - 16. Suppose -2*k = k - 12. Suppose -y*s - 9 = -v, v = -k*v + 3*s + 11. Put -5, v, -1 in ascending order.
-5, -1, v
Let d = -3 - 0. Let j(n) = 7*n + 1. Let f be j(d). Let q be 6/f*(-3 - -1). Sort q, 0, 2/13 in descending order.
q, 2/13, 0
Let g be (-2)/(-4)*8 - -1. Let x be (-5)/20 + g/4. Sort -2, -5, x.
-5, -2, x
Let q = 176 - 178. Let i = -1 - 3. Sort -4/7, q, i in descending order.
-4/7, q, i
Let x = 33 - 16. Let u = -12 + x. Suppose -5*z + 5*i + 5 = i, 5*z + 20 = -i. Put u, z, -2 in increasing order.
z, -2, u
Let k = 0.178 - -8.892. Let m = k - 0.07. Let b = -5 + m. Sort -3/5, 3, b in ascending order.
-3/5, 3, b
Suppose 2 = -2*s - 6. Put 9, 1, s in ascending order.
s, 1, 9
Let x = -0.09 + 5.09. Let k = 2 + 0. Let d = k - x. Sort 0.3, -2/13, d.
d, -2/13, 0.3
Suppose -4*j - 14 = -2. Sort j, 3, 0 in decreasing order.
3, 0, j
Let a(o) = o + 7. Let t be a(-5). Suppose j - 8 + 2 = -i, t*j = -4*i + 14. Put i, -4, -5 in descending order.
i, -4, -5
Let j(z) = -z**3 - z**2 - 8. Let o be j(0). Let x be o/4*2/28. Sort 1/9, 0, x in ascending order.
x, 0, 1/9
Let a = -16/51 - -4/663. Sort 2/11, a, 0 in decreasing order.
2/11, 0, a
Let h be (-4)/(-6)*387/86. Let d(q) = -q**2 + 2. Let o be d(0). Put -3, h, o in ascending order.
-3, o, h
Suppose -29*p = -14*p - 345. Sort p, -1, 1 in descending order.
p, 1, -1
Let c = -10 + 7. Let b = 1.26 - 0.96. Sort c, b, 5.
c, b, 5
Let s be 63/15 - 2/10. Let v = 0 - -1. Suppose 0 = m - v. Sort s, m, 3.
m, 3, s
Let q = -0.24 - -0.54. Put 0.4, q, -3 in increasing order.
-3, q, 0.4
Let k = 4 - 3. Let o(g) = g**2 - 6*g + 1. Let h(n) = n**3 - n - 1. Let v be h(2). Let m be o(v). Put m, -2, k in increasing order.
m, -2, k
Let x = 15 + -20. Let b(k) = -k**2 - 5*k - 1. Let w be b(-4). Sort -2, w, x.
x, -2, w
Let k be ((-6)/5)/((-6)/20). Suppose 12 = k*v, 0*v = i - v + 3. Suppose -4*m = -i*m - 20, 0 = f - 3*m + 16. Sort f, 4, 2 in decreasing order.
4, 2, f
Suppose 4*i = 8*i. Sort 3, 4, i in ascending order.
i, 3, 4
Suppose -2*d = -d + 9. Let h be (-6)/d*(-3)/9. Let l = 37 + -187/5. Sort l, h, 2/5 in ascending order.
l, h, 2/5
Let r be 2/3 + 52/(-6). Let j be (1851/14)/((-6)/r). Let n = j - 176. Sort n, -2/3, -1 in ascending order.
-1, -2/3, n
Suppose -19 = 5*p + 6. Let c(n) = -n**3 - 2*n**2 + 1. Let d = 20 - 21. Let g be c(d). Put 1, g, p in decreasing order.
1, g, p
Let j = -0.94 - 0.06. Let c = -2.6 + -0.4. Let p = c + j. Sort -2, p, -0.4 in decreasing order.
-0.4, -2, p
Let s = -8.9 - -8.8. Put 2/7, s, -3/4, 5 in decreasing order.
5, 2/7, s, -3/4
Let c = -3.6 - -1.6. Let l = 2 + -1.8. Let o = -4/125 - -286/1125. Put c, l, o in descending order.
o, l, c
Let a = -9 + 14. Suppose 0 = -2*o + o + 17. Suppose -a*g - 8 = o. Sort 5, g, 3 in increasing order.
g, 3, 5
Suppose 4*k = 6*k - 8. Put -5, k, 1 in increasing order.
-5, 1, k
Suppose -3 + 11 = 4*k. Let n be 4/6 - (-20)/(-3). Let z = k + n. Put 2, z, -5 in decreasing order.
2, z, -5
Let s(n) = n**3 - 3*n**2 - 3*n - 5. Let h be s(4). Let r = 0 + 0.1. Put r, 3, h in ascending order.
h, r, 3
Let y = 9.2 - 1.2. Let d = 0.06 + -5.06. Let k = y + d. Put 1, 4, k in descending order.
4, k, 1
Suppose a - 6*a = -10. Let b be 1*(a + 0) - 6. Suppose -5*w - 4*i + 3 = 0, 5*w - 2*w - i + 5 = 0. Sort b, w, -5 in increasing order.
-5, b, w
Suppose 4*k = 4*q - 1 - 7, -k = q + 6. Sort 1/2, -8, q, 3/2 in decreasing order.
3/2, 1/2, q, -8
Let i(q) be the first derivative of -q**2/2 - 8*q + 2. Let s be i(-6). Suppose -x - 5 = -1. Sort -3, s, x in descending order.
s, -3, x
Let n = 0.1 - 0.3. Let l = n - -8.2. Let g = l + -13. Put -3, g, 1/4 in descending order.
1/4, -3, g
Let h = -0.1 + 0.3. Let t = 3.2 - 5. Let m = t + 1.4. Put m, -2/17, h in decreasing order.
h, -2/17, m
Let z = -13 + 3. Let y = z - -14. Let p = -4 + 6. Sort p, -4, y in descending order.
y, p, -4
Let t = 0.004 - -3.996. Sort t, 11, 0 in descending order.
11, t, 0
Let y = 13 + -21. Let b = 3 + y. Let v be (-2)/(-5) - (-6)/10. Sort -2, v, b in descending order.
v, -2, b
Suppose 4*d - 16 = g, 2*d + 16 = 5*g + 6*d. Let n(k) = -k**2 - 3*k - 3. Let t be n(-2). Put 3, t, g in ascending order.
t, g, 3
Suppose 0 = -4*i - 4, 3*v - 2*i = 7*v + 10. Sort -3, -4, v, 5.
-4, -3, v, 5
Let h = 5.2 - 2.2. Let t = h + -8. Sort 4, -2, t in decreasing order.
4, -2, t
Let w = -7.04 + 5. Let b = w + 2.1. Put -2/21, 2/9, b in decreasing order.
2/9, b, -2/21
Let b be -5 + (1 - 0) + (-60)/(-15). Sort -10, -4, 4, b in decreasing order.
4, b, -4, -10
Suppose 10 = 5*q - 0*q. Sort -3, q, -4.
-4, -3, q
Let j = -4.5 + 4. Sort 6, j, -1/6 in ascending order.
j, -1/6, 6
Let i be 7/(-14)*2/1. Put -16, i, 5 in increasing order.
-16, i, 5
Suppose 9*y - 21 = 2*y. Put -1, y, -2 in increasing order.
-2, -1, y
Suppose -2*i + 4*s - 10 = 0, -2*i + s = 3*i - 20. Suppose 0*n + 4 = 2*n. Put i, -4, n in ascending order.
-4, n, i
Suppose 3*l + 2*a - 40 = -3*a, 4*a - 35 = -3*l. Let t be ((-18)/(-3))/3*(-4)/2. Put t, l, -1 in increasing order.
t, -1, l
Let g = 0.004 - -0.196. Sort 3, -0.2, 0.1, g.
-0.2, 0.1, g, 3
Let k = 115/2 + -57. Sort k, -4/5, 3, 0.
-4/5, 0, k, 3
Let a = -0.4 + -0.1. Let r = 0.1 - a. Let l = -0.4 + r. Sort -2, 1/3, l in decreasing order.
1/3, l, -2
Suppose 2*d - 29 - 3 = 0. Let m = 11 - d. Put 2, -3, m in ascending order.
m, -3, 2
Let l = -24 - -20. Let a = 4 - 0. Put 0, a, l in descending order.
a, 0, l
Let x = 7 - 6. Let j = x + 3. Sort 2/7, 1/9, j in decr | {
"pile_set_name": "DM Mathematics"
} |
- (-72407)/183. Calculate the greatest common divisor of 237 and u.
79
Let m be 370/8*(-4)/10*-4. Suppose 15*c = 13*c + m. What is the highest common factor of c and 111?
37
Suppose -p - 1 + 16 = 0. Suppose -z + 7 - 24 = 2*y, -5*z + 4*y = 43. Let b(h) = -h**2 - 16*h - 10. Let j be b(z). What is the greatest common factor of j and p?
15
Suppose -70*d + 63*d + 168 = 0. What is the highest common divisor of d and 32?
8
Suppose c = -5*h + 64, -h + 0*c - 8 = -5*c. Let b(f) = f + 15. Let l be b(105). Calculate the greatest common divisor of l and h.
12
Let w(k) = 7*k + 9. Let o be w(16). Let d = 217 - o. What is the highest common divisor of d and 8?
8
Suppose -16 = -t - 2*p, 2*t - 14*p + 9*p - 50 = 0. Let o be 2/(-4) - (-183)/6. Calculate the greatest common factor of t and o.
10
Let p = -24 - -26. Suppose -2*i = 5*w - 23, -4 = -p*i + 4. Suppose 0 = l + w*l - 256. What is the highest common factor of 8 and l?
8
Let y be ((-75)/(-10) - 6)*(2 + 0). Suppose -5*h + 12 = 2. Suppose l - 19 = -h*q + 19, y*l = -6. Calculate the greatest common divisor of 10 and q.
10
Let d = -310 + 320. What is the highest common factor of 22 and d?
2
Suppose 98*l - 93*l - 115 = 0. Calculate the greatest common factor of l and 184.
23
Suppose 0 = -4*l + 38 + 178. Suppose -3*w = 5*q - 849, q + 0*q - 173 = w. Let t = q - l. Calculate the highest common factor of t and 13.
13
Let h be (-16)/(-12)*(88 - 1). Suppose -g + 69 = y - 53, y - h = -3*g. What is the greatest common factor of 25 and y?
25
Let j(p) = -p**3 + p**2 + 7*p + 3. Let v be j(0). What is the greatest common factor of 48 and v?
3
Suppose -53*t = -3*t - 6200. Calculate the highest common divisor of 682 and t.
62
Let w = -288 - -323. Calculate the greatest common factor of w and 5.
5
Suppose -3*n = -5*l - 40, -3*l + 2*n + n = 24. Let r be (33/88 - 317/l)*1. What is the highest common divisor of r and 16?
8
Let c = 30 + -12. Let y(m) = 2*m**2 - 2*m - 15. Let f be y(-5). Calculate the greatest common divisor of c and f.
9
Let r = 6 - 3. Suppose -r*n + 15 = -0*n. Suppose -a - 2*d + 6 = 0, 0*a + a = n*d + 13. What is the greatest common divisor of 8 and a?
8
Let u be (-1)/4 - (((-10)/40 - 9) + 6). Suppose 0 = 3*g - 2*b - 23, 5*g - b - 2*b = 39. Calculate the highest common divisor of u and g.
3
Suppose -27*p + 20*p = -308. Suppose p = -15*w + 16*w. What is the greatest common factor of 11 and w?
11
Let z = -727 + 969. What is the greatest common divisor of z and 44?
22
Suppose 1 + 109 = -10*t. Let u be -2 + (-1 - (2 + t) - 4). What is the highest common factor of 18 and u?
2
Let k be 10/125*-5 - (-284)/10. Calculate the highest common factor of k and 8.
4
Let o be ((-10)/(-12))/((-5)/(-150)). Calculate the highest common factor of o and 20.
5
Suppose -15*a + 18*a = -2*q + 606, 3*a = 12. What is the greatest common factor of 66 and q?
33
Suppose -3*q + 4*g + 300 = 0, -5*q + 477 = -30*g + 31*g. Calculate the highest common divisor of q and 36.
12
Let s be 3/(-4) + (-1)/4. Let a be (-46)/s - (-1 + 1). Let c = a + -25. What is the highest common factor of 7 and c?
7
Let g(z) = z**3 - 4*z**2 + 13*z - 10. Let j be g(8). Suppose -8*a + j = -90. What is the highest common divisor of a and 22?
11
Let a be (7/2 - 3)/(2/420). Let l = a - 54. Suppose -h + 6*h = 85. Calculate the highest common factor of h and l.
17
Let c = -875 + 353. Let a be 3 - (c/14 - (-22)/77). What is the highest common divisor of a and 60?
20
Suppose 18*m - 32 = 10*m. What is the greatest common factor of m and 54?
2
Suppose -4*a = -16, 0 = 2*g - 7*a + 4*a - 20. Calculate the highest common factor of 752 and g.
16
Suppose 135*w - 141*w = -192. What is the highest common factor of 24 and w?
8
Suppose -3*y - 368 + 17 = 0. Let q be (-2899)/y + (-2)/(-9). Calculate the highest common factor of 10 and q.
5
Suppose -2*z = -7*z + 15. Let f(b) = b**2 + b. Let x be f(z). Suppose 0 = 3*m + x, -m - 8 - 18 = -2*c. Calculate the greatest common divisor of 33 and c.
11
Suppose -13*m = -307 - 57. What is the highest common divisor of m and 196?
28
Let y be (-38)/(-209) + (-1483)/(-11). Let m = 234 - y. What is the greatest common divisor of 9 and m?
9
Suppose -1 + 5 = n. Let q = 61 - 55. Let w(t) = 3*t**2 - 16*t + 8. Let f be w(q). What is the greatest common factor of f and n?
4
Suppose -3*c + 3*s + 40 = 7, -3*c - 4*s = -47. Suppose 16*m = c*m + 54. What is the greatest common divisor of m and 162?
18
Let j = 22319 + -22316. Suppose 0 = -3*r + 6 - 3. What is the greatest common factor of j and r?
1
Let a be 6 + -2 + -6 + 4. Suppose -b - a = 0, -4*m + 4*b + 71 = -201. What is the highest common factor of m and 22?
22
Let i be -3 - 45/6*-18. Calculate the greatest common divisor of i and 33.
33
Suppose -b = 3*r, -4*b - 4*r = -50 + 10. Suppose 15 = -2*v - 67. Let f = 4 - v. What is the greatest common divisor of b and f?
15
Let r be (-39)/351 + (-1)/(18/(-776)). What is the highest common factor of r and 559?
43
Let y(p) = p**3 - 15*p**2 + 3*p + 26. Let w be y(15). Suppose 5*f - w = 9. Calculate the highest common divisor of 16 and f.
16
Suppose 2*l + 3*l = 25, -5*l - 125 = -3*t. Let b(v) = -2*v**3 - 5*v**2 + v + 11. Let o be b(-2). What is the greatest common divisor of o and t?
5
Let c(a) = 3*a**3 - 7*a**2 + 2*a + 3. Let x be c(2). Let d be 0 + (-1 - -38) - 1. What is the greatest common divisor of d and x?
3
Let i = 669 - 658. What is the greatest common divisor of 88 and i?
11
Suppose -3*n = -114 - 30. Let q(c) = -373*c + 2270. Let s be q(6). Calculate the greatest common divisor of s and n.
16
Let x be 7 - (-194 - 2)*5. What is the greatest common factor of x and 47?
47
Let v = 32 + -22. Let k = -5 - 87. Let w = k + 142. What is the greatest common factor of v and w?
10
Suppose 0 = 3*s, -3*s - 5 = 4*r - 17. Calculate the highest common factor of 24 and r.
3
Suppose 4*u + 41 = 5*g, -4*u = 4*g - 5*u - 24. Suppose -3 - g = -4*j. Suppose j*n + 3*n - 85 = 0. What is the highest common divisor of 17 and n?
17
Suppose -4*k = -7*k + 1176. Calculate the highest common factor of 49 and k.
49
Let m = -35 - -51. Suppose 2*t - t + 2*n = 15, m = 4*n. Let p(c) = 2*c**2 + 3*c - 2. Let r be p(-3). What is the highest common divisor of t and r?
7
Suppose 1534 = 15*s - 12*s - 5*o, 2 = 2*o. Calculate the greatest common factor of s and 57.
57
Let m be 0 - -1 - (7 - 3 - 19). Calculate the greatest common divisor of m and 72.
8
Suppose 382 = 3*q + c - 5*c, -144 = -q - 2*c. Suppose 4*f = u + q, 2*u + 2 + 2 = 0. What is the highest common divisor of 11 and f?
11
Let a = 133 - 128. Suppose -a*l - 7*l = -168. What is the greatest common divisor of 14 and l?
14
Let s(a) = 2*a**2 + 15*a + 133. Let b be s(-9). Calculate the greatest common divisor of 60 and b.
20
Suppose -10*f + 642 = -2148. Calculate the greatest common factor of f and 31.
31
Suppose -2*c + 474 = -0*c + 4*m, 2*m = 0. What is the greatest common divisor of c and 3?
3
Suppose 5*o - 11 = 5*j - 31, 2*j - o = 7. Suppose 3*u + 18 = -5*c, c - 2*u + 14 = -0*u. Let p be (c/10 + 0)*-45. What is the highest common divisor of p and j?
3
Suppose 4*t - 472 = -3*g - 140, -3*g - 5*t = -337. What is the highest common divisor of 78 and g?
26
Suppose -3*x - 25 = -4*g - 6*x, g + 11 = 5*x. Suppose -3*v + 4*i = -26, g*v + 3*i + 20 - 63 = 0. Calculate the highest common factor of v and 50.
10
Suppose -3*t = -4*t + 3*k + 96, -2*t + 200 = -4*k. Suppose -2*y = 13 - 47. Suppose -5 + y = x. Calculate the highest common factor of x and t.
12
Suppose 2*p = 8 + 8. Let a = 34 - 26. Let s(x) = 10*x - 24. Let k be s(a). What is the greatest common divisor of k and p?
8
Let v(h) = -h + 5. Let t be 3 + 1/(3 - 2). Let x be v(t). Let w be 40 + 1 - (0 - x). What is the highest common divisor of 105 and w?
21
Suppose 0 = -17*c + 113 + 176. Calculate the greatest common factor of c and 153.
17
Suppose -9*c + 40 = -5*c. What is the highest common divisor of c and 80?
10
Let h(v) = -10 - 3*v + 1 + 2*v**2 + 2 - 3. Let n be h(8). Let t = 166 - n. What is the highest common factor of 12 and t?
12
Let a(d) = -d + 72. Let f be 2 + (-7)/(7/2). Suppose -6*k + k = f. Let t be a(k). What is the greatest common factor of t and 24?
24
Let l be (-2)/9 + 1 + 310/18. What is the greatest common divisor of l and 1278?
18
Let l = 176 + -84. What is the highest common factor of 322 | {
"pile_set_name": "DM Mathematics"
} |
2. Let m be r(-14). Let l = a + m. Does 17 divide l?
False
Let d = 2508 + 30651. Is 63 a factor of d?
False
Suppose 0 = -o + 98 - 20. Let r be 1/((-1)/o*3). Let t = r + 30. Does 3 divide t?
False
Suppose -2*p + 240 = 2*p - 52*p. Let d(z) = -2*z**2 - 5*z - 4. Let g(x) = 3*x**2 + 5*x + 3. Let b(n) = 6*d(n) + 5*g(n). Is 11 a factor of b(p)?
False
Suppose 4*a = 7*a - 24. Suppose 14*j = a*j + 1572. Suppose -22 = l - j. Is 16 a factor of l?
True
Let f(n) = 99*n + 190*n**2 - 34*n - 32*n - 47*n + 132*n**2 + 16. Is 10 a factor of f(2)?
False
Let f(v) = -v**3 - 13*v**2 - 25*v - 9. Let i be f(-15). Let x = i + -483. Is x a multiple of 5?
False
Let f(g) = -10*g + 114. Let t be f(11). Suppose t*d = 4*p + 5115 - 799, p + 4313 = 4*d. Is 59 a factor of d?
False
Suppose 0 = 2*w + 4, 2*l - 9136 = 4*w - 6*w. Is 116 a factor of l?
False
Let v = -119 - -77. Let q be (-6)/v + 26/14. Suppose 102 = 3*d + 2*y, y = 3*d + q*d - 170. Does 34 divide d?
True
Let k be 2/(-4) - ((-24)/(-16) - -3). Let w be 0 + (1 - -4) + k. Suppose 3*m - 5*h - 355 = w, -4*h + 5*h - 241 = -2*m. Does 40 divide m?
True
Is 21 a factor of -279*(456/(-54) + 10)*-3?
True
Suppose 267 = -4*k + 71. Let b be 4/7 + (-315)/k. Does 21 divide 1 + -5 - b/(7/(-46))?
True
Suppose -h - 50 = -54, -k + 1215 = -4*h. Let w = 2180 - k. Is w a multiple of 73?
True
Suppose -u + 4*v = -63825, -63865 = 2923*u - 2924*u - 4*v. Does 19 divide u?
False
Let f(q) = 2*q**3 + 3*q**2 + 8*q - 5. Let k(p) = -2*p**2 - 60*p + 5. Let u be k(-30). Is 36 a factor of f(u)?
True
Let i be (-4 - -4)*4/(-10 + 2). Does 11 divide i - (1 - 0) - -61?
False
Suppose -4*w = -3*w - 5. Suppose -w*s + 507 = -3213. Is s a multiple of 42?
False
Let r(o) = o**2 + 155*o**3 + 1 - 3*o + 234*o**3 + 2*o**2. Let l be r(1). Suppose -83*g + 78*g + l = 0. Is 13 a factor of g?
True
Suppose -1587 = 10*z - 6987. Is 9 a factor of z?
True
Let o be (1686/(-9))/(20/90). Let p = o + 1359. Does 51 divide p?
False
Let g = -357 - -255. Let h = g - -553. Is h a multiple of 11?
True
Let a = -9825 - -18041. Is 52 a factor of a?
True
Let y = -505 - -507. Suppose -49 = -6*j + 5*j + b, 0 = -y*j + 3*b + 95. Is j a multiple of 15?
False
Let k(x) = x**3 - 8*x**2 - 2*x + 22. Let u be k(8). Suppose -2*i + 1168 = -4*b, -19 = -5*b + u. Does 66 divide i?
True
Suppose -2*q + 649 + 219 = 0. Suppose -16*z + q = -15*z. Is 14 a factor of z?
True
Let z be (-1 - 1)/(8/(-16)). Suppose -2260 = -z*t - t. Suppose -585 = -4*m - 5*n + 56, -3*m + t = -2*n. Is m a multiple of 11?
True
Does 61 divide (-36)/15*1647150/(-316)?
False
Does 97 divide (-226)/(-452)*1244*10?
False
Suppose -4*b + c + 21 = 2*c, 4*c = 5*b. Suppose 3*j - f = 10, 0*f + f - b = -4*j. Is 19 a factor of 1/(j - 226/114)?
True
Let c = 138 + -106. Suppose -w = -2*o - 16, -3*o + c = -w + 52. Is 8 a factor of w?
True
Let y be (-5)/((-1)/1) + -1. Suppose -2*j = -y*u - 492, 0*u - 1160 = -5*j - 4*u. Is 43 a factor of j?
False
Suppose 0 = -0*q - 2*q + 18. Let x(n) = -75*n + 1772. Let z be x(20). Suppose q*f - 124 - z = 0. Does 22 divide f?
True
Suppose -14281 = -4*x - 5*w, -10*w + 5*w - 17885 = -5*x. Is x a multiple of 7?
False
Let o(s) = -s**3 + 56*s**2 - 95*s + 339. Is o(53) a multiple of 68?
False
Suppose -24*u = -27*u + 9. Suppose 0 = -u*o - 62 + 173. Suppose -o = -f + 53. Does 30 divide f?
True
Let l be (2/7)/(39/(-273)). Is 9 a factor of ((-4 - 2)/(-18))/(l/(-2058))?
False
Suppose 3*h - 3 = -0*h. Let y(d) = -32*d**3 + d**2 + 37*d**3 - 2*d**2. Is 2 a factor of y(h)?
True
Let u = -80 - -81. Suppose 0 = -3*h + n - 265, u = -n + 5. Let t = h + 106. Is 4 a factor of t?
False
Suppose 23*o - 2118 = 274. Suppose -w + o = -95. Is 32 a factor of w?
False
Suppose -27*d + 84 = -8*d - 5901. Does 9 divide d?
True
Is (-4351576)/(-88) + (16/176 - 2/(-11)) a multiple of 25?
True
Suppose 10 = -2*d + 3*t - 5*t, -2*d - t - 7 = 0. Let q be 0 + d - (-9)/9. Is 28 a factor of -2*q/(-5) - (-4147)/55?
False
Suppose -3*x + 21700 = 15*a - 10*a, 4*a = 2*x - 14430. Is x a multiple of 12?
False
Let d(m) be the second derivative of -m**5/20 - 2*m**4/3 + m**3 + 13*m**2/2 + 44*m. Does 3 divide d(-9)?
False
Let n(h) = 77*h**2 - 54*h + 652. Is n(10) a multiple of 36?
True
Let v = -1252 - -2238. Let r = v + -548. Does 9 divide r?
False
Let p(l) be the second derivative of l**4/12 - 8*l**3/3 + 67*l**2/2 - 3*l. Let a be p(9). Is 6 a factor of (a/(-7))/((10/427)/(-5))?
False
Let q = 757 + -742. Suppose 0 = 13*u - 16*u + q, 6420 = 5*d + 3*u. Does 87 divide d?
False
Let s(y) = -y**3 + 89*y**2 - 377*y - 224. Is 7 a factor of s(84)?
True
Let o be -1*0/(28/(-7)). Suppose -31*w + 30*w + 225 = o. Is w a multiple of 9?
True
Suppose -5*v - 175 = 3*w, 2*v - 4*w + 72 = -24. Let d = v + 38. Suppose 4*o + d*o = 5*q - 170, q + 3*o - 53 = 0. Is 19 a factor of q?
True
Let b be -67 - (1 - (-4 - -6)). Let w = -74 - b. Let a(g) = -g**3 - 8*g**2 - 3*g - 3. Is a(w) a multiple of 21?
True
Let x(z) = z**2 - 6*z + 14. Let o be x(10). Let c = o + -50. Suppose 0 = -3*q + 15, -5*y - c*q - 93 + 443 = 0. Is y a multiple of 18?
False
Let q = -3 - -35. Let s = -19 + q. Suppose s*u = 4*u + 216. Does 8 divide u?
True
Suppose 2*w - 878 = 2*x + 3*x, 4*x - 413 = -w. Let l = w - 202. Is 3 a factor of l?
False
Let c(g) = 3*g**2 + 83*g + 422. Let v be c(-5). Let z = 121 - 214. Let n = v - z. Is 35 a factor of n?
True
Suppose 0 = -249*g + 289*g - 12320. Is 15 a factor of g?
False
Let c(p) = -p**2 - 5*p + 1161. Let a be c(-35). Let x(u) = u - 7. Let d be x(0). Let j = d + a. Does 12 divide j?
False
Let n be 2280508/1577 - 2/19. Let a = n + -847. Is 88 a factor of a?
False
Suppose 306*v - 312*v + 7458 = 0. Does 116 divide v?
False
Suppose -2*j = -2*s - 62, -58 = 2*s + 2*j + 16. Let r = -29 - s. Suppose -4*n = -r*h + 369, -n + 216 = 3*h + 2*n. Is h a multiple of 18?
False
Let u(j) = 2*j**2 + 148*j + 141. Is 8 a factor of u(-74)?
False
Suppose 0 = -w - 264 + 7044. Does 4 divide w?
True
Suppose -152*q + 162*q - 15840 = 0. Is q a multiple of 48?
True
Let h(d) = -175*d**3 - d**2 - 5*d - 4. Suppose -12 = 3*a + 3*w, -10*a + 14*a = 4*w + 8. Is 35 a factor of h(a)?
True
Let o = 2148 - 601. Is o a multiple of 17?
True
Let a(m) be the third derivative of m**5/2 - m**4/24 + 3*m**3/2 - 2*m**2. Let i(j) = -j**3 - 26*j**2 + 3*j + 81. Let l be i(-26). Is a(l) a multiple of 49?
False
Let u = -65 + 65. Suppose 18*m - 8*m - 420 = u. Does 14 divide m?
True
Let i(v) = 15*v + 362. Let c be i(-27). Let g be (-1)/((4/868)/(-1)). Let t = g - c. Is t a multiple of 32?
False
Suppose -2807 = -39*m + 32*m. Is 2 a factor of m?
False
Let s be (6 - 2)*-1*(-9)/4. Let i(y) = -y**2 - 1. Let x(b) = 7*b**2 - 30*b - 1. Let h(t) = 2*i(t) + x(t). Is h(s) a multiple of 22?
True
Suppose 4102 = 91*k - 84*k. Let t = k - 124. Is t a multiple of 41?
False
Suppose 6639 = 3*b + 4*p, -56*b + 4*p = -61*b + 11089. Is 89 a factor of b?
True
Let l be 9/4 - 2 - 4110/(-8). Let d = l + 1218. Does 16 divide d?
False
Suppose -257258 = -72*m + 113511 + 267367. Does 29 divide m?
False
Suppose 0*s = 6*s - 1296. Suppose -16*z + 120 = -s. Is z a multiple of 7?
True
Suppose 10*r = -4*r + 98. Suppose 0 = 2*n + 50 - 154. Let f = r + n. Is f a multiple of 3?
False
Let m = 442 + -430. Suppose 0 = -m*d - 19*d + 38192. Does 56 divide d?
True
Let k(d) = 2*d**3 + 20*d**2 + 4*d - 10. Let s = -50 + 42. Does 8 divide k(s)?
False
Let s be (4 - 18)*((-15)/(-2))/(-3). Let m = -35 + s. Suppose 4*k + 3*c = 372 - 32, 4*k - 5*c - 308 = m. Is k a multiple of 36?
False
Let h(b) = 2*b. Let w be h(2). Suppose -6*z + w*z + 35 = -3*g, 0 = -g + 3. Is z a multiple of 2?
True
Suppose 612*r - 5975 = 617*r. Let q = 2188 + r. Does 30 divide q?
False
Let n be 5*1/1*1. Let b be 70/(-28)*(2 - -2). Is 2 a factor of ((-25)/b)/n - (-54)/4?
True
Let z(p) = -4*p + 24. Let y be z(10). Let k be (y - -18)/(4/6) + 1290. Suppose 5*t + 453 = k. Is 24 a factor of t?
True
Suppose -c + 29 = -4*w, -5*c + w + 166 = 21. Let i = -1 + 51. Let f = i - c. Does 7 divide f?
True
Suppose -148*t + 385730 = -63*t. Does 61 divide t?
False
Let w(h) = 78*h - 29. Let n be w(11). Suppose 8*r - n = 1331. Is 45 a factor of r?
True
Let z(m) = 19 - 4*m - 2*m + 0*m - m. Let c be z(-11). Suppose 3*y - c - 15 = 0. Is 25 a factor of y?
False
Let f(h) = 8*h - 36. Let x(r) be the first derivative of -5*r**4/2 - r**3/3 + r**2/2 + r + 4. Let a be x | {
"pile_set_name": "DM Mathematics"
} |
factor of ((-71)/2 - -1)*12/(-9)?
False
Let j = -40 - 0. Let d = -118 + 58. Let l = j - d. Is 12 a factor of l?
False
Let t(c) be the first derivative of c**3/3 + c**2 + c + 11. Let v be (-3)/(-1) - (0 - 1). Is t(v) a multiple of 16?
False
Is 9 a factor of 20 - 5/((-5)/2)?
False
Suppose -u + 5 = 0, u = -2*r - 2*u + 19. Is 14 a factor of 1/(r + 278/(-140))?
True
Let t(a) = a**2 - 3*a - 5. Let p be t(5). Let q be (-7 - -9)*(-2)/(-2). Is 2 a factor of ((-12)/(-10))/(q/p)?
False
Suppose 2*j - 44 - 11 = 5*q, -4*j = -20. Let w(o) = -4*o**2 - 11*o - 34 + 21 + 3*o**2. Is 3 a factor of w(q)?
False
Let c(q) = -4*q**2 - 3*q. Let d(m) = 3*m**2 + 3*m - 1. Let a(l) = -4*c(l) - 5*d(l). Is a(6) a multiple of 13?
False
Let q = 113 - -9. Let y = 202 - q. Is y a multiple of 12?
False
Suppose 6*s - 384 = -0*s. Does 16 divide s?
True
Let m = 40 - 22. Is 6 a factor of m?
True
Let k(g) = -g**3 + 8*g**2 + 9*g + 2. Let q be k(9). Does 6 divide ((-4)/6)/(q/(-18))?
True
Let w(p) = -p**3 + 6*p**2 + p + 10. Is 4 a factor of w(6)?
True
Suppose 0 = -4*t - 0*t + 24. Let d = t - 19. Let g = 41 + d. Is 14 a factor of g?
True
Suppose -10*q - 760 = -15*q. Does 38 divide q?
True
Let r(t) = t**2 + 3*t - 10. Is r(-6) a multiple of 5?
False
Suppose 3*o - 39 = 3*j, 0*j - 59 = -4*o - 3*j. Suppose -4*m - o = -6*m. Let p = m - -27. Is 17 a factor of p?
True
Let t be 6/(-10) + 126/(-15). Let a be (-6)/t*33/2. Let j = 35 - a. Does 24 divide j?
True
Let s(m) = -m - 14*m**2 - m - m + 2*m + 8 - m**3. Is 11 a factor of s(-14)?
True
Suppose -23*y = -27*y + 660. Is y a multiple of 15?
True
Let d(m) = 36*m**2 + 2*m - 2. Is 18 a factor of d(1)?
True
Is (27/45)/((-1)/(-5)) - -57 a multiple of 4?
True
Suppose -3*c + 129 = 3*w + 21, -4*w = c - 36. Is c a multiple of 12?
True
Suppose -5*b + 97 = -53. Is 30 a factor of b?
True
Let b(v) = -v**2 + v + 20. Is b(0) a multiple of 5?
True
Suppose 0 = -3*q + 6, -5*q + 7 + 27 = t. Is t a multiple of 6?
True
Suppose -3*g + 26 = 4*z, -2*g = 5*z - 0*z - 29. Does 18 divide (-3 - -4)/(g/108)?
True
Suppose -4*x - 2*m + 21 = -3*x, 43 = 3*x + m. Suppose -4*v + 1 = x. Does 15 divide 42 + (-6)/9*v?
False
Let a(z) be the second derivative of z**4/12 + z**3/6 + 2*z. Does 16 divide a(-7)?
False
Suppose 0 = -2*r + 6*r - 8, -2*b + 5*r + 510 = 0. Is b a multiple of 12?
False
Is 13 a factor of (2/(-6) - (-22)/33)*1014?
True
Let x(m) = -2*m**3 + 2*m + 1. Let r be x(-1). Let k be (-1)/(0 + r/6). Let c(y) = -y + 8. Does 14 divide c(k)?
True
Let o(r) be the second derivative of r**8/6720 - r**7/420 + r**6/120 + r**5/40 + r**4/4 + 3*r. Let q(f) be the third derivative of o(f). Is 13 a factor of q(6)?
True
Let n = 31 - 17. Let f = 40 - n. Let p = f + -10. Does 16 divide p?
True
Let z(m) be the third derivative of 0 + 1/12*m**4 + 5/6*m**3 + 3*m**2 + 0*m. Is z(5) a multiple of 6?
False
Let i(o) = -8*o - 3. Is i(-2) a multiple of 5?
False
Suppose -5*x + 4*x + 11 = 0. Is x a multiple of 10?
False
Suppose 29 = f + 7. Suppose 4*q - 2*l - 118 = 0, 47 = 2*q + l - f. Does 7 divide q?
False
Let j = 7 - 5. Let r(i) = i**3 + 7*i**2 + 2*i**2 - 8 - 11*i - 2*i**j. Is 16 a factor of r(-8)?
True
Let b = 3 - -2. Suppose 1 - 11 = -b*a. Suppose 0 = a*n + 7 - 1, -2*n + 6 = 2*c. Does 4 divide c?
False
Suppose 0 = -k + 5*k - 8. Suppose -15 = -8*h + 9. Suppose k*r + 3*q - q - 6 = 0, h = -r + 5*q. Is r even?
True
Let p(x) = 3*x**2 - 16*x + 5. Is 38 a factor of p(-4)?
False
Does 2 divide 4/2 - 20*-1?
True
Let i = 2 + 6. Let p = i + 0. Is 2 a factor of (-10)/4*p/(-5)?
True
Suppose 4*k - 104 = -36. Does 17 divide k?
True
Let w(r) = 2*r**3 - r - 1. Is w(3) a multiple of 10?
True
Let a be 18/(-27) - (-26)/3. Is (99/(-36))/((-2)/a) a multiple of 5?
False
Suppose 3*k = 3*x - 492, -2*x - 134 = -4*k - 452. Let q = x - 108. Suppose -2*l = 5*p - q, 6*l - 2*l - p - 89 = 0. Does 15 divide l?
False
Suppose 6*s - 2*s = 44. Let y(g) = g**2 - 10*g + 11. Does 14 divide y(s)?
False
Let w = 0 - -5. Let m = w - 3. Suppose -m*o - 3*o + 70 = 0. Is 7 a factor of o?
True
Suppose i = 2*k - 4, -2*k - k - 3*i = -15. Is k even?
False
Let b(t) = -78*t - 12. Is b(-2) a multiple of 12?
True
Let u = 192 + -134. Does 12 divide u?
False
Suppose -35*i = -24*i - 473. Is 19 a factor of i?
False
Let q be 0 + 1 - (-3 + 2). Suppose 0 = -q*p + 21 - 1. Suppose -2*d = -0*d - p. Does 2 divide d?
False
Let g(r) = -r**3 - 3*r**2 + 4. Let m be (-1)/(-2)*(-4)/(-1). Let i = m + -5. Does 3 divide g(i)?
False
Suppose y + 17 = 2*f + 3, y - 40 = -4*f. Does 3 divide f?
True
Suppose 0 = q - 0 - 25. Let p = -13 + q. Is 5 a factor of p?
False
Let h = 69 + -6. Is h a multiple of 3?
True
Suppose 2*f = 5*f - 144. Does 6 divide f?
True
Suppose 3*u = -3*i - 2*i + 12, i - 4 = u. Is u/(((-5)/3)/5) even?
False
Let m(p) = -p**3 - p**2 - p - 1. Let i be m(-1). Suppose -u - u = i. Suppose 2*f - 8 = u, 5*b + 3*f - 171 = 31. Is 15 a factor of b?
False
Suppose -j = 1 - 6. Suppose j*d = -5 + 80. Does 5 divide d?
True
Let v = -20 + 33. Let t = v - -29. Is t a multiple of 21?
True
Let t(g) be the third derivative of -1/60*g**5 + 3*g**2 + 0 + 3/8*g**4 + 0*g - 7/6*g**3. Is t(6) a multiple of 9?
False
Let h = -9 + 4. Let r(w) = w**3 + 7*w**2 + 5*w + 7. Is 16 a factor of r(h)?
True
Let n(d) = -d**3 - 3*d**2 - 5*d + 2. Suppose 18 = -4*c + 2. Let l be n(c). Suppose 0 = -s + l. Is 19 a factor of s?
True
Let t(n) = n**2 + 7*n. Suppose -2*c - 3 = 7. Let i be t(c). Let m = i - -23. Is 5 a factor of m?
False
Suppose 0 = 16*p - 12*p - 1348. Is 63 a factor of p?
False
Suppose 3*g + 2*g = 3*g. Suppose -2*u = -6*u + 48. Suppose -p + g*p + u = 0. Does 5 divide p?
False
Suppose -12 = -3*a + 4*h + 5, 14 = 4*a - h. Suppose -3*n - 5 = -u, -a*u - n = -3 + 38. Is 24 a factor of 2/(-2)*u*7?
False
Let u be (2 + 1)/((-3)/(-45)). Suppose -4*o - o = -u. Does 3 divide o?
True
Let t(n) = -2*n - 10. Let m be t(-7). Suppose 0 = j + m*o - 4, 0*o - o + 76 = 4*j. Is j a multiple of 20?
True
Let o(g) = g**3 - 9*g**2 - 10*g + 4. Let i be o(10). Is 14 a factor of 18/i*(-36)/(-6)?
False
Let p(h) = h**3 + 4*h**2 - 2*h - 4. Let j be p(-4). Suppose 4*g + 5*s + 0*s = -9, -3*g + j*s = -32. Is g a multiple of 4?
True
Suppose -4*d - 3*l = -189, 7*d + 4*l - 188 = 3*d. Is 12 a factor of d?
True
Suppose 4*s = -1 + 41. Is 3 a factor of s?
False
Let q(y) = 4*y - 1. Let j be q(-2). Let k be j*(3/9 + -1). Suppose -33 + k = -w. Is 9 a factor of w?
True
Suppose 5*u = -w - 10, 2*w = u + 7 + 17. Is 21 a factor of (-20)/50 - (-514)/w?
False
Let j be (7 - -1)*14/(-8). Let w = 34 - j. Suppose w = -3*p + 6*p. Is 16 a factor of p?
True
Suppose 6 = 5*t - q, -2*t + 0*q = q - 8. Suppose -2*x + x + 3*b = -14, t*x - 10 = -3*b. Is 3 a factor of x?
False
Let m be -3*((-5)/3)/5. Let b = -5 + m. Does 18 divide 1/(10/b)*-90?
True
Let u(x) be the third derivative of -x**5/60 + x**3 - 2*x**2. Let o be u(0). Let b = o - -10. Does 6 divide b?
False
Suppose 183 = -3*o + 6*o. Is o a multiple of 11?
False
Let c = 15 + 13. Suppose -g + 0*g + 2 = 0. Suppose -g*v + c = -4*h, 5*v = -h + 2*h + 25. Is v a multiple of 4?
True
Let g(p) = p**3 + 7*p**2 + 6*p - 5. Let m be g(-6). Let u be m/1*(0 + -4). Suppose 4*r + u - 92 = 0. Is 6 a factor of r?
True
Let d = -9 - -62. Suppose -4*h + 35 + d = 0. Is h a multiple of 11?
True
Let x(y) = 2*y**2 - 9*y - 4. Suppose -36 + 8 = -4*b. Is 9 a factor of x(b)?
False
Let y(r) = 4*r - 3. Let o be y(5). Let u = 37 - o. Does 16 divide (-3)/((-15)/4)*u?
True
Suppose -4*c - 78 = 122. Let z = c + 83. Is 11 a factor of z?
True
Suppose 3*x + 5*x - 736 = 0. Is 37 a factor of x?
False
Let v(p) = p**2 + 89. Is 21 a factor of v(0)?
False
Is 162 + 5 + 4 + 0 a multiple of 12?
False
Suppose -8*q = -3*q + 250. Let a = 88 + q. Is 2/(-2) + a/2 a multiple of 18?
True
Suppose -4*r = 2*f - 7*r - 19, 3*f - 25 = r. Let u = f + -5. Suppose u*k - v = 76 + 78, 3*k - 4*v - 157 = 0. Is 18 a factor of k?
False
Suppose -5*v = -35 - 30. Suppose 6*q = 3*q + 6. Suppose 5*g + q*s = 73, -s - s = g - v. Does 7 divide g?
False
Suppose 5*y - 2*j + 2 = 0, 6*j - 4 = -4*y + 2*j. Suppose 4*v + h - 1 = 10, -4*v - 7 = -5*h. Is 9 a factor of (v - y) + 19 + -2?
False
Is (-102 - 0)*6/(-9) a multiple of 34?
True
Let q be 72/8 + 1/1. Suppose 3*u - 6*k = -k + 29, 2*u - k = q. Is u a multiple of 3?
True
Suppose 3*o + 5 = -7. Is 7 a factor of 186/14 - o/(-14)?
False
Let v(i | {
"pile_set_name": "DM Mathematics"
} |
second derivative of q(j) wrt j.
-9720
Differentiate -976*m**2 + 1942*m**2 - 247*m - 3515 - 21*m - 969*m**2 with respect to m.
-6*m - 268
Let y(i) = -35*i + 11. Let l be y(-4). What is the derivative of -89*v - 26 + l*v - 33 - 12*v wrt v?
50
Let y(j) be the first derivative of 0*j**3 - 81/5*j**5 - 5*j - 1/2*j**2 - 21 + 1/4*j**4. Find the second derivative of y(p) wrt p.
-972*p**2 + 6*p
Find the third derivative of 1021*m**3 + 1068*m**3 - 4850*m**2 + 3146*m**2 wrt m.
12534
Suppose -2*s + 4*s - 10 = 0. Let h be 16/2 + (1 - s). What is the third derivative of -27*i**4 + 20*i**4 + h - i**2 - 4 wrt i?
-168*i
Suppose 31*c - 30*c = 6. Suppose 3*v - 5*b = 0, c = -5*b + 21. What is the third derivative of -52*r**2 + 8*r**2 - 836*r**v + 856*r**5 wrt r?
1200*r**2
Let u(a) be the third derivative of 4097*a**7/210 - 107*a**5/60 - 5*a**4/24 - 2*a**2 - 356. What is the third derivative of u(p) wrt p?
98328*p
Let c(x) = 13293*x**4 + 14*x - 5476. Let i(m) = 13291*m**4 + 10*m - 5473. Let r(b) = 2*c(b) - 3*i(b). What is the second derivative of r(y) wrt y?
-159444*y**2
Let j be (2/(-3))/((-10)/17085). Find the third derivative of -87*l**4 - 1139 + j - 25*l**2 wrt l.
-2088*l
Let m(d) = -20*d - 191. Let q be 6*((-15)/10 - -2). Let p(y) = 40*y + 384. Let s(n) = q*p(n) + 5*m(n). Differentiate s(r) with respect to r.
20
Suppose 169 = 10*c + 19. What is the second derivative of 36*h - 2*h - 5*h**3 + 37*h - c*h wrt h?
-30*h
Let o(d) be the second derivative of d**5/2 - d**4/12 + 392*d**3/3 - 316*d + 1. Find the second derivative of o(j) wrt j.
60*j - 2
Suppose 0*l + 5*l - 20 = 0, 3*a - 4*l = -7. Find the second derivative of 10*g**a + 4*g - 3*g + 0*g**2 + 0*g**2 wrt g.
60*g
Let i(y) be the first derivative of 0*y**2 + 40*y**4 + 2*y + 46/3*y**3 + 82. Find the third derivative of i(m) wrt m.
960
Let c(p) be the third derivative of 2647*p**6/120 - p**5/30 - 5*p**4/8 + 11*p**3/3 + 3158*p**2. Find the third derivative of c(s) wrt s.
15882
Find the first derivative of -36*i**4 + 143 + 293 + 8*i + 54 - 22 wrt i.
-144*i**3 + 8
Let o = 24 - 21. Suppose 5*k - 5 = d + 12, 2*d = -4. What is the first derivative of -14*v**3 + 12*v**o + 15 + 6*v**k wrt v?
12*v**2
Find the third derivative of 2579 + 4*y**2 + 70*y - 2588 - 62*y + 2979*y**3 wrt y.
17874
Let k be 108/42 - (-12)/(-21). Let d(o) = 3*o**2 + 4*o + 4. Let b be d(-2). What is the third derivative of b*s**k + 0*s**3 - 4*s**3 - 4*s**2 wrt s?
-24
Let k(z) be the second derivative of -187*z**5/20 - 11*z**3/6 + 14*z**2 + 1372*z. What is the second derivative of k(y) wrt y?
-1122*y
Let t = -680 + 684. Let c(f) be the third derivative of -3/10*f**5 + 0 + 1/120*f**6 + 0*f + 5*f**2 + 0*f**t + 0*f**3. Find the third derivative of c(i) wrt i.
6
Let s(q) = q**3 - 9*q**2 - 3. Let o be s(9). Let i be (-1 - (-12 + o)) + -1 + -1. What is the second derivative of -114*n**3 - i*n + 95*n**3 - 15*n wrt n?
-114*n
Let z(o) = -3*o + 1. Let x(p) = -33*p - 794. Let c(y) = -x(y) - 2*z(y). What is the derivative of c(s) wrt s?
39
What is the second derivative of 545 + 190*z**5 + 537 - 463*z + 6*z**2 - 5*z**2 - 1621 + 535 wrt z?
3800*z**3 + 2
Let o(w) be the first derivative of 34*w**5 - 10*w**3/3 - 325*w - 7186. What is the first derivative of o(c) wrt c?
680*c**3 - 20*c
What is the third derivative of b - 3*b**3 + b**3 + 587*b**5 + 2604336*b**2 - b - 2605877*b**2 wrt b?
35220*b**2 - 12
Let k(u) = 4*u**4 - u**3 - u**2 - u - 1. Let l(d) = 532*d**4 + 6*d**3 + 6*d**2 + 6*d + 4096. Let o(g) = -6*k(g) - l(g). What is the derivative of o(b) wrt b?
-2224*b**3
Suppose i - 41 = -5*h, -2*i - 91 = -5*i + h. What is the first derivative of -23 + i*f**3 - 2*f**4 - 86*f**3 + 39*f**3 wrt f?
-8*f**3 - 48*f**2
Let o = 28 + -26. Suppose 0 = -2*m + 10 - o. Find the first derivative of -g**m - 17 - g**4 - g**4 + 0*g**4 wrt g.
-12*g**3
What is the second derivative of 45*m**3 + 24*m**2 - 153*m**3 - 10425*m - 3057*m wrt m?
-648*m + 48
Let z = 27 - 2. Let p = -23 + z. What is the first derivative of -p*r**2 - 5*r**2 - 8 - 1 - 11 wrt r?
-14*r
Let m(b) = -b**3 - 5*b**2 - 6*b - 4. Let k be m(-4). Find the second derivative of -37*h**5 - 7*h**5 + h + 39 + k*h - 29 wrt h.
-880*h**3
Let g(y) = -y - 4. Let u be g(-8). Suppose u*d - 22 - 38 = 0. Find the third derivative of 0*z**3 - d*z**3 + 24 + 9*z**2 - 24 wrt z.
-90
Suppose 0 = -10*a + 11*a - 14. Suppose -2*t - 2*i + 16 - 2 = 0, -a = 3*t - 4*i. Find the third derivative of -292*m**5 + 6*m**2 + 282*m**5 + 0*m**t wrt m.
-600*m**2
Differentiate 684 - 3033 + 53009168*i - 5884*i**2 - 1453 - 53009168*i wrt i.
-11768*i
Let n(o) be the first derivative of -94*o**7 + 152*o**3/3 + 2*o + 1786. What is the third derivative of n(b) wrt b?
-78960*b**3
Let r(c) be the first derivative of -83 - 1/3*c**3 - 12*c + 0*c**4 + 31/2*c**6 + 0*c**2 + 0*c**5. What is the third derivative of r(b) wrt b?
5580*b**2
Find the second derivative of -11*n**2 + 427*n**5 - 420*n**5 + 7*n**4 - n**4 - 3356*n + 4*n**4 - 6*n**4 wrt n.
140*n**3 + 48*n**2 - 22
Let d(t) = 889*t**3 - 4*t - 6. Let u(f) = 2668*f**3 - f**2 - 15*f - 17. Let a(p) = 17*d(p) - 6*u(p). What is the third derivative of a(z) wrt z?
-5370
Let d(g) be the second derivative of g**8/14 - 241*g**5/10 + 1691*g**4/12 + 4059*g. What is the third derivative of d(h) wrt h?
480*h**3 - 2892
Let o = 173 - 171. Suppose 0 = 2*k - 0*k - 12. Find the first derivative of -10 + 0 + 1 - 14*n**o - k wrt n.
-28*n
Suppose 0 = 25*f - 5*f - 60. Find the third derivative of -59 + 65 + 2*j**f + 2*j**4 + 2*j**2 - 23*j**4 wrt j.
-504*j + 12
Let l(m) be the second derivative of 0*m**4 + 0*m**5 - 8*m + 1/10*m**6 + 46*m**2 - m**3 + 2. Differentiate l(c) wrt c.
12*c**3 - 6
Let y(i) be the third derivative of i**4/24 + 23*i**3/3 - 26*i**2. Let t be y(-18). What is the third derivative of o**6 + 34 - 34 - t*o**2 + 3*o**6 wrt o?
480*o**3
Let f(x) be the first derivative of 2318*x**5/5 - 13*x**2/2 - 66*x + 3236. What is the second derivative of f(y) wrt y?
27816*y**2
Let y(l) = 8*l. Let w be y(1). What is the second derivative of 213*o - w*o**2 - 107*o - 54 - 105*o wrt o?
-16
Let y = -7 - -82. Find the third derivative of -13*z**2 + 5*z**3 - 10*z**3 + y*z**2 - 24*z**3 wrt z.
-174
What is the second derivative of -7 + 5430*m**2 + 2 - 26*m + 28*m + 3270*m**2 - 783*m**2 wrt m?
15834
Let m(n) = 151*n**3 + 1. Let i be m(1). Find the third derivative of -50*o - 16*o**4 - 3*o**2 - 83*o + i*o wrt o.
-384*o
Let w(p) be the first derivative of 96 - 5/2*p**2 + 85/2*p**4 + 0*p - 5/3*p**3. What is the third derivative of w(q) wrt q?
1020
Let d be 10/3 - (70/(-21))/(-10). Find the first derivative of m**3 - m**d - 9*m**4 - 205 + 21*m**4 wrt m.
48*m**3
Let x(r) be the second derivative of -611*r**6/30 + 1387*r**3/3 + 1004*r + 1. Find the second derivative of x(s) wrt s.
-7332*s**2
Let v(q) = 975*q**3 + 6*q**2 - 18*q - 1043. Let b(r) = 976*r**3 + 5*r**2 - 15*r - 1042. Let m(j) = -6*b(j) + 5*v(j). Find the first derivative of m(c) wrt c.
-2943*c**2
Let m = -131 + 135. Differentiate 39 + 0*l**4 + 24*l**m - 10*l**4 with respect to l.
56*l**3
Suppose 4 = -2*c + 2*r, -1 = -5*c + r + 5. Suppose c = 23*n - 22*n. Differentiate 13*u**n - 3*u**2 - 6*u**2 - u**2 + 9 wrt u.
6*u
Let w(j) be the third derivative of -j**7/105 - 47*j**6/20 + 49*j**5/10 + j**3/2 + 145*j**2 + 3*j. What is the third derivative of w(o) wrt o?
-48*o - 1692
Let o = 106 + -21. What is the first derivative of -o*c - 78*c + 191*c - 17 - 62*c wrt c?
-34
Suppose -5*u + 315 = -4*u + f, 0 = -f + 1. What is the third derivative of 314 + 61*m**2 - u - 91*m**3 wrt m?
-546
What is the third derivative of -11 + 4862*t**4 + 39207*t**2 - 39205*t**2 + 327*t + 10 wrt t?
116688*t
Let s(c) = c**3 + 10*c**2 - 12*c - 9. Let l be s(-11). Differentiate -104*n**l + 37*n**2 - 3359 + 3264 with respect to n.
-134*n
Let t(i) be the third derivative of -557*i**6/30 - 247*i**4/6 - 4*i**2 - 198*i. Find the second derivative of t(q) wrt q.
-13368*q
Let z be (-1 - -2 - 0)*3/1. What is the third derivative of 40*c**3 + 41*c**z + 56*c**2 - c**3 wrt c?
480
What is the second derivative of -28 - 1636*v + 28 + 374*v + 1184*v**4 wrt v?
14208*v**2
Let h = 26 + -23. Find the second derivative of -t + 19 - 90237*t**3 - 154*t**4 + 90237*t**h wrt t.
-1848*t**2
Let z(d) be the second derivative of 1171*d**7/42 - d**4/3 + 24*d** | {
"pile_set_name": "DM Mathematics"
} |
+ n + r*t and give q.
0
Express (25 - 25 + 12*o**2)*(1 - 2 - 1)*(-2 - 2 - 1) in the form y*o**2 + h*o + q and give y.
120
Rearrange 16 - 42*f**3 - 389*f - 19 + 390*f to j*f + u*f**2 + h*f**3 + m and give m.
-3
Express (-2*x**3 - 2*x**3 + x**3)*(8 + 2*x - 8 + (-2 - 1 + 1)*(1 - 1 + 2*x)) in the form l*x**4 + n + t*x + w*x**3 + s*x**2 and give l.
6
Express (3 + 3 + 0)*(0 + 5 - 3)*(51*l**3 - 7*l**3 - 8*l**3) as u*l**3 + o + p*l**2 + j*l and give u.
432
Express (2 - 2*u**3 - 2)*(0*u + 10*u + 5*u) + 8*u**3 + 1 + 13*u + 2*u**4 - 4*u**3 - 14*u + 4*u**2 as w*u**2 + o + v*u**4 + i*u + t*u**3 and give o.
1
Express -3 + 7*n + 2*n**3 - 2*n**2 - 2 + 6*n**3 - 10*n**3 in the form g*n + z*n**2 + k + r*n**3 and give z.
-2
Rearrange (c**2 + 0*c**2 - 2*c**2)*(50 + 66 + 245) to the form y + s*c**2 + h*c and give s.
-361
Express 10*w**4 - 1890 + 1901 - 2*w - 8*w**4 as k*w**3 + d*w**2 + n + v*w + c*w**4 and give v.
-2
Rearrange -3*x**2 + x**3 + 8 - x + 3*x - 7 - 8 to n*x**3 + b + j*x + k*x**2 and give k.
-3
Rearrange (6*d**3 - d**3 - 3*d**3)*(53 - 49 + 115) - 3*d**3 - 2*d**3 + 4*d**3 to the form f*d**2 + a*d + q*d**3 + y and give q.
237
Rearrange -6779*y**2 + 3392*y**2 + 3389*y**2 - 14*y to the form z + o*y**2 + n*y and give n.
-14
Rearrange -145*p**2 + 1 - 147*p**2 + 285*p**2 - 9 to the form z + l*p**2 + b*p and give z.
-8
Rearrange (0*f + 4*f**4 + 0*f)*(9 - 15 - 8) - 5*f**4 + 0*f**4 + 3*f**4 - 6*f**4 + f - f to l*f**4 + a*f**2 + s*f + u*f**3 + y and give l.
-64
Rearrange -67*o**2 + 65*o**2 - 48*o**2 + (-5*o + 3*o + 4*o)*(-1 + 1 + 2*o) to g + v*o**2 + u*o and give v.
-46
Rearrange (0 - 1 + 3)*(2499*u**3 - 2 - 2501*u**3 - 283*u - 270*u) to d + q*u**2 + o*u**3 + c*u and give d.
-4
Rearrange -142*k + 419*k - 3*k - 19*k to s*k + a and give s.
255
Rearrange -3*s**2 - 2*s**2 + 4*s**2 + (-2 + 2 + s)*(1 - 2*s - 1) + 4*s - 4*s + s**2 + s - s - 12*s**2 to v*s**2 + d*s + y and give v.
-14
Express (3*h - 2*h + h)*(-3 - 3468*h + 3438*h - 12) in the form q + x*h + y*h**2 and give x.
-30
Rearrange (-c + 3 - 3)*(-223 + 4 + 45 + (-4 + 2 + 3)*(-1 + 1 - 1)) to the form l + i*c and give i.
175
Rearrange -267*u**3 + 4*u**2 + 87*u**3 + 8 + 92*u**3 + 83*u**3 to the form f*u**2 + g*u + q + h*u**3 and give f.
4
Rearrange 305 - 145 + p**2 - 117 to a*p + i*p**2 + f and give f.
43
Rearrange 2*l**2 + 102*l + 69*l - 48*l to the form f*l**2 + x + h*l and give f.
2
Express -2*u**4 - 3*u**3 + 4 + 7*u + 41*u + 817*u**2 - 817*u**2 as k*u**2 + x*u**3 + m*u + s*u**4 + z and give x.
-3
Rearrange -5648 + 5648 + 1166*q**2 to the form p + z*q + w*q**2 and give z.
0
Rearrange -229*n**2 - 23*n**3 - 239*n**2 + 454*n**2 to w*n + a + x*n**2 + h*n**3 and give a.
0
Rearrange 15*j + 4*j**2 + 2*j**3 + 60*j**4 - 4 - 15*j - 61*j**4 to the form w*j**4 + v*j**2 + l + t*j + f*j**3 and give v.
4
Express (2 - 5 - 1)*(-m - 4 + 4) + 33*m - 38*m - 72*m as a*m + s and give a.
-73
Rearrange -5*w**2 + 2*w**3 + 71*w**4 + 8*w**2 - 98*w**4 to the form h*w**4 + k + u*w + i*w**3 + p*w**2 and give i.
2
Rearrange (28 + 54 - 13)*(2*k - k + k - 3*k + 7*k - 3*k + (2*k - 2*k + 2*k)*(-3 + 2 - 1) + 5*k + 2*k + 6*k) to i + h*k and give h.
828
Express 3*m - 9 + 1 - m**3 - 2 - 3*m**2 - 4*m + 5*m**2 as d*m**3 + x*m**2 + v*m + u and give u.
-10
Express (-130 + 38 - 40 - 4 - 172)*(-2*l - 2*l + 2*l) as x + r*l and give r.
616
Express 12*j + 2*j**2 + 17*j**4 - 18*j**4 - 13*j**3 + 18*j**3 in the form f + z*j**3 + p*j**4 + q*j + i*j**2 and give q.
12
Rearrange (-3 + 4 + 1 + (-4 + 0 + 3)*(1 - 1 - 1))*(14756*r**2 - 7380*r**2 + 1893 - 7375*r**2) to the form j*r + p + v*r**2 and give v.
3
Rearrange 1875*t**4 + t**3 + 2 - 1874*t**4 + 3*t - 3*t**3 to the form f*t + n*t**2 + r + m*t**4 + z*t**3 and give z.
-2
Express (6 + 1 - 5)*(1896*g**4 + 2186*g**4 + 3*g**3 - 3469*g**4) in the form j*g + n*g**4 + y + l*g**2 + t*g**3 and give n.
1226
Rearrange 6 - 2 + 402*w - 6 + 2 to the form l + b*w and give b.
402
Rearrange (5*q - q - 3*q)*(-3 - 3 + 4) - 4*q + 5*q + q + (-15 + 15 + q)*(0 + 0 - 1) - q + q + 4*q to the form o*q + u and give o.
3
Express -2*a**4 - 1 + 0*a**2 - 3*a**2 - 28*a - 2*a**3 + 14*a**2 - 3*a**2 - 9*a**2 in the form d*a**3 + k*a**2 + u*a + r*a**4 + g and give r.
-2
Rearrange (-2*y + 3*y - 2*y)*(-4*y - 5*y**2 + 4*y) + (-3*y**2 + 4*y**2 - 4*y**2)*(-5*y + 5*y + 2*y) to w*y + b + k*y**2 + r*y**3 and give r.
-1
Express 7863*d + 7866*d - 16983*d in the form w + z*d and give z.
-1254
Rearrange -3 - 278*d**3 - 22*d**3 + 1 to the form k*d**3 + u*d**2 + o*d + s and give s.
-2
Express 0*v**2 - 28*v - 1 + 4 - v**2 - 5 in the form c + n*v**2 + t*v and give n.
-1
Rearrange -2 + 29*h + 33*h + 29*h - 94*h to the form s*h + g and give g.
-2
Rearrange -3*s**3 + 0*s**3 + s**3 + (0 - 1 + 0)*(5 - 3*s**3 - 5) + 10*s**3 - 32*s**3 - 68*s**3 to o*s**2 + k*s**3 + l + r*s and give l.
0
Express (-g + 0*g + 2*g)*(2015 - 1009 - 10*g - 1009) in the form n*g + h*g**2 + c and give h.
-10
Rearrange 24327*l**2 - 8*l**3 - 24327*l**2 - 2 + 17*l to h*l + b*l**2 + z*l**3 + q and give q.
-2
Express 355 - 355 + 329*f in the form i + b*f and give b.
329
Rearrange -14974*v + 14974*v - 224*v**2 to the form z*v + s + j*v**2 and give j.
-224
Rearrange -j**2 - 38*j - 8*j**2 + 35*j + (0 + 2*j + 0)*(1 - 1 + j) - 3*j**2 + 4*j**2 + 0*j**2 - 4*j - 8*j**2 + 4*j to d*j + n*j**2 + y and give n.
-14
Express (-16*m - 11 + 11)*(-3*m + 3*m - 3*m + (3 - 6 + 2)*(2*m + 0*m + 0*m) + 0*m + 0*m - 2*m) as c*m**2 + a + k*m and give c.
112
Rearrange (6*f + 20 - 20)*(-2 - 4 + 4)*(6*f**3 + 3 - 3) + 0*f**4 + 3*f**4 - f**4 to the form g + y*f**3 + a*f**2 + b*f + z*f**4 and give z.
-70
Express 346 - 346 - 356*a**2 as y + f*a**2 + m*a and give f.
-356
Express (-291*b - 59 + 575*b - 281*b + (2 + 3 - 4)*(b + 0*b - 3*b))*(b**2 - b**2 - 2*b**2) in the form f*b + n*b**3 + k + a*b**2 and give k.
0
Express 5*r + 18*r**3 + r**2 - 46*r**3 + 22*r**3 + r**4 as t*r**3 + y*r**4 + n + c*r**2 + l*r and give t.
-6
Express (m + 0*m**2 - 1 + 2 + 2*m**2)*(0 - 118 - 299) as n*m + f*m**2 + g and give f.
-834
Express -1881*t - 4*t**2 + 1881*t - 6*t**3 - 2 as c + q*t**2 + j*t**3 + x*t and give c.
-2
Rearrange -2*z**4 + 0*z + z**2 - 49 + 71 + z to y*z**2 + v + s*z**4 + n*z**3 + b*z and give y.
1
Rearrange (0 + 1 + 0)*(f**4 + 1 - 1) - 6*f**4 + f**3 - f**3 to the form q + j*f**2 + l*f**3 + r*f**4 + c*f and give r.
-5
Rearrange (-186*r**3 - 87*r + 87*r)*(2*r + 4*r - 2*r) to the form z + s*r**2 + o*r**3 + m*r + i*r**4 and give i.
-744
Express -22*s + 4 - 4*s**4 + 6*s**3 - 4*s**3 - 2 - 2*s**2 + 26*s in the form v*s**2 + k*s**4 + u*s**3 + l*s + i and give k.
-4
Express -14 + 2*x - 48 - 38 as h + f*x and give h.
-100
Rearrange ((3 - u - 3)*(4 + 2*u - 4) - 6 + 7*u**2 + 6)*((-4*u + 5*u + u)*(-1 + 1 + 2*u) - u**2 - 31 + 31) to p*u**2 + z + w*u + g*u**3 + j*u**4 and give p.
0
Rearrange 3*d**2 - 2*d**3 + 7*d + 8*d - 2*d**4 + 4 + d - 16*d to o*d**3 + l*d**2 + f + y*d + x*d**4 and give f.
4
Express -16*a**2 + 5*a**2 + 10*a**2 - 4 - 2 - 4*a**3 in the form g*a**2 + l*a + q + d*a**3 and give l.
0
Express 59*z + 62*z - 8 - 119*z in the form k + p*z and give p.
2
Rearrange -3*p**4 - 801*p**3 - 3*p**4 - 10*p - 6 + 802*p**3 + 12*p to the form a*p**2 + u*p**4 + i*p**3 + m*p + o and give o.
-6
Rearrange 1 - 4*c**4 - 2*c**2 + 0*c**2 + 5*c - 2*c**3 + 0*c + 0*c**2 to the form x*c**3 + i*c**2 + r*c + g + l*c**4 and give l.
-4
Express -225*w**3 + 3*w - 46*w**2 + 46*w**2 - 172*w**3 + 54*w**3 in the form z*w + o*w**2 + h*w**3 + y and give h.
-343
Express -96*o - 91*o + 188*o - 388 as n + y*o and give n.
-388
Express -17*v**2 - 2*v**3 + 7*v**2 + 8*v**2 + 17*v**2 in the form k*v**3 + r*v + x*v**2 + q and give k.
-2
Rearrange (n + n + 3*n)*(-4 + 1 - 3)*(-36*n**3 + 9*n**3 - 3*n**3) to i*n**3 + x*n**4 + f*n + t*n**2 + j and give x.
900
Rearrange (242 + 72 - 1040)*(3 + 2*s**2 - 3 + (-5 + 1 + 5)*(0*s**2 + 2*s**2 + 0*s**2) - 4*s**2 - 3*s**2 + 5*s**2 - 1) to the form a*s + y + v*s**2 and give a.
0
Rearrange ((-5 + 3 + 1)*(-5 + 4 - 2) + 17 - 5 + 25)*(4 - 4 + 1)*(0*x + 0*x + x) to the form v*x + r and give v.
40
Rearrange 177*n + 49*n - 54*n + 116*n to i*n + y and give i.
288
Rearrange (-2 - 186*y + 94*y + 95*y)*(2 + 0 + 1)*(-y - 2*y + 2*y) to j*y + k + w*y**2 and give j.
6
Rearrange j - 26*j - 58*j to the form h*j + o and give h.
-83
Express -65*o - 1 - 85*o - 62*o + 103*o in th | {
"pile_set_name": "DM Mathematics"
} |
112*d - 3*d**3 + 116*d. Determine -6*i(f) - 7*n(f).
-f**3 - f**2 - 2*f
Let u(c) = -17*c**2 - 8*c + 58. Let f(j) = -19*j**2 - 10*j + 60. Determine -5*f(v) + 6*u(v).
-7*v**2 + 2*v + 48
Let j(g) = 50*g**2 - 10*g + 3. Let w(h) = -49*h**2 + 12*h - 4. Determine -6*j(m) - 5*w(m).
-55*m**2 + 2
Suppose 15*a + 51 = -26 + 17. Let r(x) = -x**2 + x + 1. Let y(f) = -6*f**2 - 4*f - 4. Calculate a*r(l) - y(l).
10*l**2
Let b(v) = 7*v**2 - 8*v + 64. Let c(u) = 14*u**2 - 12*u + 114. Let j(i) = 5*b(i) - 3*c(i). Let n(s) = 57*s**2 + 33*s + 177. Give 33*j(y) + 4*n(y).
-3*y**2 - 18
Let f(r) = -4*r**2 + 928*r - 4. Let i(b) = -17*b**2 + 3713*b - 18. Calculate -9*f(o) + 2*i(o).
2*o**2 - 926*o
Let z(u) = -3*u - 741. Let a(j) = -j**2 + 5*j + 1497. Give -3*a(n) - 5*z(n).
3*n**2 - 786
Let q = 12855 + -12853. Let k(x) = 4*x**3 - 3*x**2 - 5*x - 2. Let s = -14 + 16. Let l(c) = 3*c**3 + 3*c**2 - 2 - 4*c**s - 4*c - c**2. Give q*k(d) - 3*l(d).
-d**3 + 2*d + 2
Let n(z) = 14*z**2 - 53*z + 5. Let w(v) = -9*v**2 + 27*v - 3. Let j(s) = -3*n(s) - 5*w(s). Let x(a) = -2*a**2 - 16*a. Determine 5*j(o) + 7*x(o).
o**2 + 8*o
Let v(k) be the first derivative of -8*k**2 + 13*k - 94. Let f(c) = 44*c - 38. Let n(l) = 3*f(l) + 8*v(l). Let q(s) = s - 3. Determine 3*n(j) - 10*q(j).
2*j
Let p(c) = 28*c - 4 + 11*c + 8*c - 62*c. Let r(l) = 46*l + 13. Calculate 7*p(j) + 2*r(j).
-13*j - 2
Let t(d) = 2*d**3 - 121*d**2 - 3*d - 85. Let j(f) = -60*f**2 - 2*f - 51. What is 5*j(w) - 3*t(w)?
-6*w**3 + 63*w**2 - w
Let p(l) = -20712*l**2 - 27616. Let a(s) = -s**2 - 2. Determine -13808*a(q) + p(q).
-6904*q**2
Let l(n) = 37*n**2 - 5*n. Let g(j) = -1664*j**2 + 224*j. Let h(r) = 55*r**2 + 36*r + 76. Let x be h(-2). Determine x*l(u) + 5*g(u).
-32*u**2
Let o(r) = 7*r**2 + 3*r + 5. Let n(g) = 20*g**2 + 8*g + 14. Let c(h) = -2*h**3 + 9*h**2 + 20*h - 80. Let d be c(5). Calculate d*n(p) + 14*o(p).
-2*p**2 + 2*p
Let s(l) = -29*l**3 + 4*l**2 - 4*l + 5. Let i(p) = 25*p**3 - 4*p**2 + 3*p - 5. Calculate 6*i(r) + 5*s(r).
5*r**3 - 4*r**2 - 2*r - 5
Let h(n) = 2*n**3 + n**2 + 3*n. Let y(g) = 25*g**3 - 5*g**2 - 15*g + 1. Determine 3*h(c) + y(c).
31*c**3 - 2*c**2 - 6*c + 1
Let i(v) = -5*v - 8. Suppose -30*b + 271 = -119. Let s(w) = b*w - 34*w + 14*w + 16*w + 15. What is -7*i(c) - 4*s(c)?
-c - 4
Let f(p) = -670. Let j(s) = -502. Let h(q) = -3*f(q) + 4*j(q). Let g(a) = a - 1. Suppose n - 5*m = -1 - 8, -3*n = 2*m - 7. What is n*h(o) + 3*g(o)?
3*o - 1
Let j = -184721 + 184720. Let a(f) = 6*f**2 - f**2 - f**3 - 3*f + 3*f**3. Let b(u) = u**2 - u + 1. Determine j*a(g) + 3*b(g).
-2*g**3 - 2*g**2 + 3
Let p(u) = -180*u**3 + 5*u + 11. Let f(a) = 38*a**3 - a - 2. Calculate -11*f(k) - 2*p(k).
-58*k**3 + k
Let s(u) = 3*u**3 + u**2 - 28*u + 5. Let z(f) = 3*f**3 + f**2 - 27*f + 6. Determine -3*s(w) + 2*z(w).
-3*w**3 - w**2 + 30*w - 3
Let y(d) = d**3 - 23*d**2 + 22*d - 8. Let r be y(22). Let k(g) = 2*g - 2. Let o = 9 + -8. Let v(p) = 2*p + o + p - 2*p - 2*p. Calculate r*v(t) - 5*k(t).
-2*t + 2
Let b(x) = -324*x**2 - 8*x - 4. Let l(d) = 323*d**2 + 12*d + 4. Give -3*b(k) - 2*l(k).
326*k**2 + 4
Suppose 0 = -l - z + 148, 2*l + 2*z + 449 = 5*l. Let i(a) = -80 - 74 + 7*a + l. Let w(n) = 4*n - 2. Determine -2*i(v) + 5*w(v).
6*v
Let b(u) = -63*u + 44. Let n(r) = 252*r - 165. Give 11*b(i) + 3*n(i).
63*i - 11
Let l(j) be the third derivative of j**4/8 + 3*j**3/2 + 1306*j**2. Let t(v) = v + 2. Determine -2*l(d) + 9*t(d).
3*d
Let z(c) = 19*c**3 + 6*c**2 + 4*c - 4. Let q(w) = -21*w**3 - 5*w**2 - 4*w + 3. What is 6*q(b) + 5*z(b)?
-31*b**3 - 4*b - 2
Let r(b) = -60*b + 16. Let o(m) = 3. What is 6*o(p) - 2*r(p)?
120*p - 14
Let w(p) = 7*p**2 - 9*p - 10. Let c(v) = -15*v**2 + 19*v - 1258524 + 629273 + 629271. Give 6*c(j) + 13*w(j).
j**2 - 3*j - 10
Let g(k) = 36257*k**3 - 170*k + 10. Let p(s) = -277970*s**3 + 1309*s - 77. Determine -77*g(i) - 10*p(i).
-12089*i**3
Let r(s) = -80*s - 1088. Let q(c) = 9*c + 121. What is -28*q(b) - 3*r(b)?
-12*b - 124
Let c(m) = -3*m**3 + 2*m**2 - 2*m. Let w be 2/(1*(-8)/68). Let t(v) = 6*v**2 - 8*v**3 - 6*v - 399 + 399. What is w*c(n) + 6*t(n)?
3*n**3 + 2*n**2 - 2*n
Suppose 113*r = -216 - 13 - 562. Let v(l) = 10*l. Let y(k) be the third derivative of -5*k**4/24 - 2*k**2. Determine r*y(d) - 3*v(d).
5*d
Let s(c) = 1240*c**3 - 11*c**2 - 4*c + 4. Let n(d) = -3719*d**3 + 30*d**2 + 11*d - 11. Calculate -4*n(b) - 11*s(b).
1236*b**3 + b**2
Let k(a) = 3 - 1 + 2*a + 8 - 2 + 7*a. Let d(q) = 17*q + 15. Let p = -16 - -10. Determine p*d(o) + 11*k(o).
-3*o - 2
Let c(z) = z + 0*z - z + 5*z. Let k(o) = 5*o. Let a = -281 + 178. Let x = 97 + a. Determine x*k(y) + 5*c(y).
-5*y
Let m(y) = 2*y**2 + 4*y + 5. Let i(w) = -w**2 - 5*w - 6. Let b be (-14)/(-4)*(-48)/28. Calculate b*m(q) - 5*i(q).
-7*q**2 + q
Let t(j) = -j + 1. Let p(f) = -f + 44 - 10 - 5*f - 22 + 0*f. Suppose 5*i - 10 = -5*h, 0*i + 4 = -i + 5*h. What is i*p(n) - 4*t(n)?
-2*n + 8
Let w(b) = -6*b - 42. Let i(c) = 15*c - 6. Let z(l) = -4*l. Let d(r) = i(r) + 4*z(r). Give 27*d(h) - 4*w(h).
-3*h + 6
Let l(j) = -182*j**3 - 12*j**2 + 5*j + 2. Let y(v) = -92*v**3 - 7*v**2 + 3*v + 1. Determine -3*l(q) + 5*y(q).
86*q**3 + q**2 - 1
Let k(f) be the third derivative of f**4/12 - f**3/2 - f**2. Let u(m) = -m + 1. Let v = -29966 - -29967. Calculate v*u(n) + k(n).
n - 2
Let i(r) = 3*r**2 + 9*r + 4. Suppose 3*v = -m + 14, 3*m - 22 = -3*v - v. Let s be (3/v)/1*272/102. Let g(a) = -a**2 - 4*a - 2. Give s*i(q) + 5*g(q).
q**2 - 2*q - 2
Let m(r) = 3*r + 4. Let y(o) = -4*o - 76. Let w be y(-13). Let v = -21 - w. Suppose 5*x + 7 = -v. Let i(t) = t. Calculate x*i(q) + m(q).
q + 4
Let y(u) = -3*u + 1. Let n be (-13 - -10)*(4*-1 + 2). Let j = 15 - n. Let z(i) = 3*i + 3*i + i**2 + 2 - j*i. Give 3*y(q) - 2*z(q).
-2*q**2 - 3*q - 1
Let v(p) = -5*p**2 - 4*p + 69. Let w(z) = 5*z**2 + 4*z - 60. Give 3*v(j) + 4*w(j).
5*j**2 + 4*j - 33
Let n(s) = s**3 - 10*s**2 - 2*s + 2. Let y be -2 + 26/10 + -3*184/345. Let t(u) = -u + 1. What is y*n(z) + 2*t(z)?
-z**3 + 10*z**2
Let f(i) = -14*i**3 - 2*i**2 - 8*i. Let b = -2424 + 2428. Let o(u) = -5*u**3 - u**2 - 3*u. Determine b*f(c) - 11*o(c).
-c**3 + 3*c**2 + c
Suppose -n = n - 6. Let x(p) = 0*p**n - 4*p**3 + 3*p + 6*p**3. Let a(o) be the first derivative of o**4/2 - o**3/3 + 2*o**2 - 764. What is 3*a(c) - 4*x(c)?
-2*c**3 - 3*c**2
Let o(z) = 25*z + 21. Let v(h) = 72*h + 58. Let l(m) = -14*o(m) + 5*v(m). Let u(c) = c. What is l(x) - 5*u(x)?
5*x - 4
Let q(h) = -h**2 + 2*h - 2. Let k(p) = -p**2 - 98*p - 8. Determine -k(w) + 4*q(w).
-3*w**2 + 106*w
Let v(d) = 1. Let m(f) = 3*f**2 + 31*f - 21. Let p be m(-11). Let y(o) = 2*o - 9. Give p*y(l) - 5*v(l).
2*l - 14
Let b(h) = h**2 - 57*h + 6. Let f(c) = 15*c - 1. Let y(z) = b(z) + 4*f(z). Let o(g) = -g**2 - 1. Calculate -2*o(d) - y(d).
d**2 - 3*d
Let n(q) = -27847*q**2 + 32*q + 48. Let b(a) = -290880480*a**2 + 334260*a + 501390. Calculate -8*b(p) + 83565*n(p).
9285*p**2
Let v(q) = -q + 514 - q**2 + 505 + q**3 + 496 - 1514. Let d(k) = 2*k**3 + 2*k**2 + 3*k - 4*k**3 + k**3 - 2. What is d(i) + 2*v(i)?
i**3 + i
Let v(j) = -13*j**3 + 2*j**2 - 9. Suppose 6*x - 9 = 21. Let b be (-5)/x + 7 - 3. Let z(p) = b + 6*p**3 + 74*p**2 + 1 - 75*p**2. Calculate -4*v(h) - 9*z(h).
-2*h**3 + h**2
Let m(p) = 3*p**2 + p + 13. Suppose 7444*d - 7450*d + 12 = 0. Let q(i) = 3 - 2 + i**2 + 3. Give d*m(h) - 7*q(h).
-h**2 + 2*h - 2
Let p = 1217 + -1212. Let g(x) = 4*x - 20. Let u(t) = -3*t + 19. Give p*g(c) + 6*u(c).
2*c + 14
Let z(h) = -177*h**3 + 4*h**2 - 8. Let s(a) = -89*a**3 + 2*a**2 - 4. Determine 11*s(x) - 6*z(x).
83*x**3 - 2*x**2 + 4
Let u(m) = -30*m - 16. Let n(q) = 499*q + 539*q - 1048*q - 5. What is 10*n(v) - 3*u(v)?
-10*v - 2
Let l(f) = -47*f - 4. Let k(s) = 46*s + 3. Suppose -17*b - 4 = 80*b - 198. What is b*l(w) + 3*k(w)?
44*w + 1
Let h(w) = -5*w**2 + 3*w. Let b(g) = -804*g**2 - g. Calculate -b(d) - h(d).
809*d**2 - 2*d
Let c(i) = -7*i - 11. Let n(t) = 2*t - 1290 + 1293 + 0*t. Determine -2*c(y) - 9*n(y).
-4*y - 5
Let w(c) be the first derivative of 15*c**4/4 + 10*c**3/3 + 5*c**2 + 10*c - 32463. Let x(i) = 5*i**3 + 3*i**2 + 3*i + 3. Let v = 8 - 5. Give v*w(j) - 10*x(j).
-5*j**3
Let c(h) be the second derivative of 0*h**3 - 3*h + 7/2*h**2 - 1/3*h**4 + 0. Let s(u) = -u**2 + 2. Let y be (-57)/(-8) - (-1)/(-8). Give y*s(f) - 2*c(f).
f**2
Let g(o) = 15*o. Let a(n) = -30*n | {
"pile_set_name": "DM Mathematics"
} |
- 4*w**2 + 3*w**2.
-2*w**2
Collect the terms in -24 + 20 + 4 + 5*l**2.
5*l**2
Collect the terms in -6*r + 3*r + 4*r + r + 4.
2*r + 4
Collect the terms in -8*m + 0*m**2 + 3*m**2 + 2*m + 6*m.
3*m**2
Collect the terms in -4*r - 2*r + 4*r + 0*r - 98.
-2*r - 98
Collect the terms in -4*a - 3*a + 27*a**2 + 7*a.
27*a**2
Collect the terms in -5*x**3 + 185 - 185 - 11*x**3 + 17*x**3.
x**3
Collect the terms in -290125*k**3 + 145063*k**3 + 145064*k**3.
2*k**3
Collect the terms in 12 - 24*s - 12*s - 10 + 2*s.
-34*s + 2
Collect the terms in 47*l**2 - 22*l**2 - 3 - 28*l**2 + 3.
-3*l**2
Collect the terms in 104 - 53 - 8*o - 51 + 0*o.
-8*o
Collect the terms in 1 - 2 - 26*o - 5.
-26*o - 6
Collect the terms in 0 - 10*d + 9*d + 2.
-d + 2
Collect the terms in 1747*p**2 - 1747*p**2 - p**3.
-p**3
Collect the terms in 32*i - 6*i**3 + 30*i + 8 - 101*i + 39*i.
-6*i**3 + 8
Collect the terms in -5*a - 3*a + 3*a.
-5*a
Collect the terms in -320*f**2 - 316*f**2 + 634*f**2.
-2*f**2
Collect the terms in -66 - m**3 + 4*m**3 + 66.
3*m**3
Collect the terms in 2*z - 394 + 394.
2*z
Collect the terms in -w - 2*w - 21 + 5*w + 21.
2*w
Collect the terms in 25*y**2 + 18*y**2 + 8*y**2 - 49*y**2.
2*y**2
Collect the terms in 2*r**2 - 49082 + 49082.
2*r**2
Collect the terms in -10*i**3 - 16*i**2 + 16*i**2.
-10*i**3
Collect the terms in -2353*k**2 + 2353*k**2 - 4*k**3.
-4*k**3
Collect the terms in -3*y**3 + 7*y**3 - y**3.
3*y**3
Collect the terms in 0*k**2 - k**2 + 5*k**2 + 3*k**2 - 6*k**2.
k**2
Collect the terms in -10*d**2 - 18*d**2 - 17*d**2 - 3*d**2.
-48*d**2
Collect the terms in -4*d**2 - 2*d - d**2 + 2*d.
-5*d**2
Collect the terms in -839 - 4*i + 839.
-4*i
Collect the terms in 298*t + 10*t**3 - 606*t + 308*t.
10*t**3
Collect the terms in -63*c + 63*c - 3*c**2.
-3*c**2
Collect the terms in 2*n - 130 + 130 - 10*n.
-8*n
Collect the terms in -9*w**3 + 9291 - 9291.
-9*w**3
Collect the terms in -922*f**2 - 1343*f**2 + 459*f**2.
-1806*f**2
Collect the terms in -171*i**2 + 79*i**2 + 86*i**2.
-6*i**2
Collect the terms in 25*t - 92*t + 22*t + 24*t + 18*t.
-3*t
Collect the terms in 87 - 102 + 90 + y**3 - 75.
y**3
Collect the terms in -11*f + 11*f - 119*f**2.
-119*f**2
Collect the terms in -3*m + 7*m + 5*m.
9*m
Collect the terms in -75*t**3 + 62*t**3 + 200*t**3.
187*t**3
Collect the terms in 45 - 45 - 6*j.
-6*j
Collect the terms in 88*d**2 + 2 - 175*d**2 + 86*d**2.
-d**2 + 2
Collect the terms in 3*g**3 + 8809*g**2 - 8809*g**2 - 30.
3*g**3 - 30
Collect the terms in 10*s**3 - 48*s**3 + 28*s**3.
-10*s**3
Collect the terms in -5*w**2 + 72*w**3 - 67*w**3 + 5*w**2.
5*w**3
Collect the terms in 28*v - 130*v - 2*v**2 + 25*v.
-2*v**2 - 77*v
Collect the terms in 3*y + 13*y + 4*y - 25*y + 6*y.
y
Collect the terms in 5*s + s + 3*s - 13*s.
-4*s
Collect the terms in 22*i**2 - 22*i**2 - i - 24*i**3.
-24*i**3 - i
Collect the terms in 6*w**3 - 11*w**3 - 6*w**3 - 12*w**3.
-23*w**3
Collect the terms in -2490 + 2490 + 182*x**2.
182*x**2
Collect the terms in -129 + 71 - 8 + 2*n + 66.
2*n
Collect the terms in -37 + 37 - 14*i**3 + 12*i**3.
-2*i**3
Collect the terms in -y**3 + y**3 - 2210*y - y**3 + 2210*y.
-y**3
Collect the terms in 32*b - 4*b - 15*b + b.
14*b
Collect the terms in -2 - 45*g**2 + 2 - 2 + 0.
-45*g**2 - 2
Collect the terms in -3*g + 4*g - 20*g**2 - g.
-20*g**2
Collect the terms in 3*n**2 + 2*n**2 + 16*n**2 - 9*n**2.
12*n**2
Collect the terms in 28*g - 123*g + 25*g + 24*g + 42*g.
-4*g
Collect the terms in q**3 + 0*q + 47*q**3 + 0*q.
48*q**3
Collect the terms in -32*b + 6 - 6 + 74*b - 43*b.
-b
Collect the terms in -2*a + 4*a - 27*a.
-25*a
Collect the terms in -15112 + 15112 - 2*q.
-2*q
Collect the terms in -7*g - g + 2*g + 2*g.
-4*g
Collect the terms in -17*z + 16*z**2 + 17*z - 3*z**2.
13*z**2
Collect the terms in -9*z**3 + 93*z**2 - 93*z**2 + 3*z**3.
-6*z**3
Collect the terms in -3*l + 2*l - 2 - 20.
-l - 22
Collect the terms in 5*y + 4 + 2*y - 4 - 3.
7*y - 3
Collect the terms in 5*s**2 - 24336*s - 2*s**2 + 24336*s.
3*s**2
Collect the terms in 22*r**2 + 20*r**2 - 47*r**2.
-5*r**2
Collect the terms in 38*r + 35*r - r.
72*r
Collect the terms in -a**2 + 3*a**2 + a**2.
3*a**2
Collect the terms in -9*j**3 + 3*j**3 + 3*j**3.
-3*j**3
Collect the terms in 10*p**2 + 18*p**3 - 4 - 20*p**3 + 4.
-2*p**3 + 10*p**2
Collect the terms in 52 + 11*b - 10*b - 52.
b
Collect the terms in -29*g - 2*g - 2*g**2 + 31*g.
-2*g**2
Collect the terms in -778*m**2 - 1115*m**2 - 503*m**2 + 160*m**2.
-2236*m**2
Collect the terms in 15*w**3 - 13*w**2 - 10*w**3 - w**3 - 3*w**3.
w**3 - 13*w**2
Collect the terms in -1652 - 2*q**3 + 1652.
-2*q**3
Collect the terms in -122*s + 550 - 550.
-122*s
Collect the terms in 2*y**2 + 3*y**2 - 4*y**2.
y**2
Collect the terms in -35*y**2 - 31*y**2 - 30*y**2 + 36*y**2.
-60*y**2
Collect the terms in 360*f + 1619*f**3 - 360*f - 1620*f**3.
-f**3
Collect the terms in 137 - 43 - u - 94.
-u
Collect the terms in -3*a**2 - a**2 + 2*a**2 - 6*a**3 + 0*a**2.
-6*a**3 - 2*a**2
Collect the terms in 41*l**3 + 11*l - 11*l - 52*l**3.
-11*l**3
Collect the terms in -11*n + 2*n + 7*n + 5*n.
3*n
Collect the terms in -12*s + 2*s + 4*s.
-6*s
Collect the terms in -531*s**2 + 513*s**2 - 2 + 2.
-18*s**2
Collect the terms in 7 - 17*c**3 - 2 - 5.
-17*c**3
Collect the terms in -2*v**2 + 4*v**2 - 6*v**2 + 2*v**2.
-2*v**2
Collect the terms in -2*g**2 + 10*g + 12*g - 22*g.
-2*g**2
Collect the terms in 21 - 4*a - 8 - 11.
-4*a + 2
Collect the terms in -3*h**3 + 7*h**3 + 9*h**3 + 0*h**3.
13*h**3
Collect the terms in -1848 + 1848 + o**3 - 3*o**3.
-2*o**3
Collect the terms in -x**2 + 2*x**2 + 2*x**2.
3*x**2
Collect the terms in -20*p**2 + 28*p**2 + 24*p**2.
32*p**2
Collect the terms in -3*f**2 - 2*f**2 + 22 + 3*f**2 - 67.
-2*f**2 - 45
Collect the terms in -10*s**2 + 8 - 8.
-10*s**2
Collect the terms in 0*j**3 - 5*j**3 + 2*j**3 + 2*j**3.
-j**3
Collect the terms in 212*q**2 - 201*q**2 - 9*q**2.
2*q**2
Collect the terms in -4*t**2 + 14 + 18 + 2*t**2 - 32.
-2*t**2
Collect the terms in -10*d**3 + 0*d**3 - 4*d**3 - 5*d**3.
-19*d**3
Collect the terms in 691*l - 3*l**3 - 691*l.
-3*l**3
Collect the terms in -4*d + 4*d + 1423*d**2.
1423*d**2
Collect the terms in 207*a**3 - 105*a**3 - 103*a**3.
-a**3
Collect the terms in 11*m**2 - 1821177*m - 3*m**2 + 1821177*m.
8*m**2
Collect the terms in -18214 - 2*s + 0*s + 0*s + 18214.
-2*s
Collect the terms in 394 - 200 - 191 - 3*o.
-3*o + 3
Collect the terms in -26*t**3 + 28*t**3 + 5*t**3.
7*t**3
Collect the terms in -341*l**2 + 680*l**2 - 337*l**2.
2*l**2
Collect the terms in -9*v**2 - 6*v**2 - 7*v**2.
-22*v**2
Collect the terms in o**2 - 2*o**2 + 4*o**2 + 5*o**2.
8*o**2
Collect the terms in -v**3 + 0*v - v + v.
-v**3
Collect the terms in 13 + 3*y - 4 + 5*y.
8*y + 9
Collect the terms in 25*p**3 - 15*p**3 - 12*p**3.
-2*p**3
Collect the terms in -42*i + 1 + 0 + 7*i.
-35*i + 1
Collect the terms in -3574 - 4*m + 3574.
-4*m
Collect the terms in 9*k**3 - 4*k**3 + 0*k**3.
5*k**3
Collect the terms in -16709*n**3 - 16711*n**3 + 33419*n**3.
-n**3
Collect the terms in 2*c**3 + 545*c**2 - 545*c**2.
2*c**3
Collect the terms in -9*f**3 - 19*f**3 + 26*f**3.
-2*f**3
Collect the terms in -15*h - 16*h + 3 + 18*h.
-13*h + 3
Collect the terms in 9 + 712*o - 722*o - 9.
-10*o
Collect the terms in 3*u + 4 + 0*u + 3 + 1.
3*u + 8
Collect the terms in -37*w**3 - 5*w**3 - 23*w**3 + 7*w**3.
-58*w**3
Collect the terms in -4*t + t + t + 2*t - t**2.
-t**2
Collect the terms in 1572 - 1572 + 14*v**2.
14*v**2
Collect the terms in 9*a**2 - 11 + 2*a**2 + 4.
11*a**2 - 7
Collect the terms in -1630*j + 1630*j + j**2.
j**2
Collect the terms in -5 - w - 5*w + 6*w - w**2.
-w**2 - 5
Collect the terms in 57*o + 66*o - 123*o + 3*o**3.
3*o**3
Collect the terms in -42*p**3 + 86*p**3 - 46*p**3.
-2*p**3
Collect the terms in 0*t - t + 2*t**3 + 3*t - 24*t**3.
-22*t**3 + 2*t
Collect the terms in 655*y - 3 - 124*y + 3.
531*y
Collect the terms in -21*p**2 - 58*p**2 - p + p.
-79*p**2
Collect the terms in -1 + 1 + 40*r.
40*r
Collect the terms in -7*s + 0 + 98*s - 95*s + 0.
-4*s
Collect the terms in 7*i**2 - 386 + 386.
7*i**2
Collect the terms in -268 + 540 - 7*n - 272.
-7*n
Collect the terms in 64*j**3 - 184*j**3 + 61*j**3 + 58*j**3.
-j**3
Collect the terms in -4*p**3 + 3*p**3 + 8*p**3.
7*p**3
Collect the terms in 3 - 4*o + 19 - 31.
-4*o - 9
Collect the terms in 5*s* | {
"pile_set_name": "DM Mathematics"
} |
ultiple of 2?
False
Is 66168 a multiple of 120?
False
Does 234 divide 32696?
False
Is 435 a multiple of 29?
True
Is 17 a factor of 7275?
False
Is 24 a factor of 1032?
True
Is 26445 even?
False
Is 559 a multiple of 13?
True
Is 8643 a multiple of 2?
False
Is 828 a multiple of 36?
True
Is 312 a multiple of 6?
True
Is 7 a factor of 917?
True
Is 35 a factor of 618?
False
Is 9907 a multiple of 11?
False
Is 5 a factor of 12590?
True
Is 18 a factor of 1188?
True
Does 28 divide 16996?
True
Does 16 divide 17807?
False
Is 8960 a multiple of 112?
True
Does 26 divide 208?
True
Does 54 divide 76896?
True
Is 35 a factor of 3605?
True
Is 721 a multiple of 9?
False
Is 79 a factor of 6975?
False
Is 425 a factor of 46168?
False
Does 2 divide 17?
False
Is 25 a factor of 203?
False
Is 1848 a multiple of 11?
True
Is 24909 a multiple of 57?
True
Does 116 divide 2924?
False
Is 88 a factor of 1809?
False
Is 34425 a multiple of 135?
True
Does 9 divide 1467?
True
Is 32 a factor of 10656?
True
Does 58 divide 36308?
True
Is 10 a factor of 5976?
False
Is 23 a factor of 13733?
False
Is 9200 a multiple of 16?
True
Does 90 divide 6245?
False
Is 74 a factor of 1628?
True
Is 7915 a multiple of 6?
False
Does 6 divide 574?
False
Does 27 divide 18497?
False
Is 58 a factor of 3510?
False
Is 12 a factor of 360?
True
Does 3 divide 92?
False
Is 48 a factor of 48?
True
Is 42511 a multiple of 52?
False
Is 6690 a multiple of 15?
True
Does 25 divide 3429?
False
Is 3 a factor of 5239?
False
Does 19 divide 794?
False
Does 40 divide 540?
False
Is 70 a factor of 12110?
True
Is 120 a factor of 906?
False
Is 40 a factor of 9629?
False
Is 30 a factor of 3930?
True
Is 15 a factor of 856?
False
Does 33 divide 10591?
False
Does 9 divide 330?
False
Does 32 divide 3124?
False
Is 4 a factor of 7731?
False
Is 23245 a multiple of 118?
False
Does 20 divide 4680?
True
Is 1190 a multiple of 34?
True
Does 6 divide 377?
False
Is 13536 a multiple of 72?
True
Does 10 divide 262?
False
Is 5915 a multiple of 3?
False
Does 188 divide 43804?
True
Does 103 divide 18643?
True
Does 11 divide 112280?
False
Does 10 divide 10560?
True
Is 17 a factor of 102?
True
Is 4134 a multiple of 159?
True
Is 20196 a multiple of 66?
True
Is 13 a factor of 8359?
True
Is 2064 a multiple of 22?
False
Is 66 a factor of 462?
True
Is 6 a factor of 1807?
False
Is 9 a factor of 12089?
False
Is 6851 a multiple of 47?
False
Does 13 divide 273?
True
Is 4 a factor of 16?
True
Does 8 divide 5898?
False
Is 2538 a multiple of 9?
True
Is 95 a factor of 5985?
True
Is 1853 a multiple of 52?
False
Is 9 a factor of 422?
False
Does 13 divide 4106?
False
Is 1836 a multiple of 18?
True
Is 8246 a multiple of 19?
True
Does 11 divide 792?
True
Is 27984 a multiple of 53?
True
Is 97 a factor of 10961?
True
Is 9 a factor of 5193?
True
Is 16 a factor of 182?
False
Is 6942 a multiple of 45?
False
Does 9 divide 1080?
True
Does 18 divide 256?
False
Is 25 a factor of 425?
True
Is 161 a factor of 15571?
False
Is 12547 a multiple of 128?
False
Does 60 divide 4399?
False
Is 83 a factor of 79846?
True
Is 13 a factor of 2661?
False
Is 5112 a multiple of 72?
True
Is 1634 a multiple of 86?
True
Is 2976 a multiple of 31?
True
Is 8 a factor of 2168?
True
Does 17 divide 272?
True
Is 129 a factor of 29110?
False
Does 80 divide 6303?
False
Is 49 a factor of 900?
False
Is 104 a factor of 1560?
True
Is 67 a factor of 646?
False
Is 16 a factor of 114?
False
Is 147 a multiple of 49?
True
Is 1595 a multiple of 26?
False
Does 4 divide 4?
True
Does 12 divide 112231?
False
Is 7032 a multiple of 10?
False
Does 54 divide 8586?
True
Is 442 a multiple of 34?
True
Does 32 divide 224?
True
Is 20 a factor of 5620?
True
Is 14 a factor of 2664?
False
Does 7 divide 2045?
False
Is 2 a factor of 258?
True
Does 57 divide 21692?
False
Does 3 divide 1899?
True
Is 3149 a multiple of 73?
False
Is 42624 a multiple of 32?
True
Does 135 divide 19845?
True
Is 10 a factor of 110?
True
Is 1015 a multiple of 40?
False
Is 162 a multiple of 9?
True
Is 67983 a multiple of 31?
True
Does 17 divide 6596?
True
Is 17226 a multiple of 58?
True
Does 21 divide 5579?
False
Is 56 a factor of 60961?
False
Is 66 a factor of 23408?
False
Is 17835 a multiple of 14?
False
Is 49 a factor of 1813?
True
Is 155966 a multiple of 233?
False
Is 15 a factor of 5925?
True
Is 1074 a multiple of 53?
False
Does 22 divide 18528?
False
Is 342 a multiple of 57?
True
Is 988 a multiple of 19?
True
Does 35 divide 426?
False
Is 16494 a multiple of 81?
False
Does 12 divide 2340?
True
Is 27468 a multiple of 21?
True
Is 22055 a multiple of 11?
True
Is 28 a factor of 1071?
False
Is 479 a multiple of 26?
False
Is 791 a multiple of 41?
False
Is 13 a factor of 82986?
False
Is 25 a factor of 1925?
True
Is 83 a factor of 33093?
False
Does 13 divide 234?
True
Is 214 a multiple of 17?
False
Does 15 divide 5190?
True
Does 12 divide 35868?
True
Is 2500 a multiple of 2?
True
Is 15 a factor of 3670?
False
Is 64 a factor of 20402?
False
Is 4247 a multiple of 18?
False
Does 15 divide 405?
True
Does 5 divide 247?
False
Is 13 a factor of 1155?
False
Is 10244 a multiple of 105?
False
Does 11 divide 95040?
True
Is 20 a factor of 860?
True
Does 5 divide 1415?
True
Is 70992 a multiple of 204?
True
Does 21 divide 1584?
False
Does 11 divide 627?
True
Does 25 divide 975?
True
Is 4518 a multiple of 18?
True
Is 40 a factor of 360?
True
Does 18 divide 35370?
True
Is 13 a factor of 2509?
True
Is 14617 a multiple of 19?
False
Is 66 a multiple of 3?
True
Does 13 divide 55?
False
Is 40830 a multiple of 10?
True
Is 76 a factor of 28956?
True
Does 19 divide 2356?
True
Is 2 a factor of 3878?
True
Is 19 a factor of 209?
True
Is 1987 a multiple of 48?
False
Is 103461 a multiple of 48?
False
Is 136 a multiple of 8?
True
Does 5 divide 15?
True
Is 7 a factor of 616?
True
Does 14 divide 47017?
False
Is 20 a factor of 4500?
True
Does 28 divide 24780?
True
Is 19 a factor of 3724?
True
Is 6 a factor of 127?
False
Does 8 divide 7821?
False
Is 6240 a multiple of 104?
True
Does 40 divide 7859?
False
Does 6 divide 1326?
True
Is 14546 a multiple of 13?
False
Is 9 a factor of 4032?
True
Is 11 a factor of 1397?
True
Is 51 a factor of 9204?
False
Is 27 a factor of 2805?
False
Is 5606 a multiple of 7?
False
Is 4 a factor of 56?
True
Is 287 a multiple of 15?
False
Is 210 a multiple of 6?
True
Does 121 divide 18029?
True
Is 103 a factor of 3193?
True
Is 34235 a multiple of 41?
True
Does 23 divide 651?
False
Is 25 a factor of 204?
False
Is 6 a factor of 240?
True
Does 8 divide 1760?
True
Is 27257 a multiple of 97?
True
Is 44 a factor of 4506?
False
Is 64 a factor of 2560?
True
Is 170 a factor of 12580?
True
Does 14 divide 90482?
True
Does 110 divide 2310?
True
Does 12 divide 7125?
False
Is 21 a factor of 30534?
True
Does 5 divide 8825?
True
Is 192 even?
True
Is 32 a factor of 8777?
False
Is 42 a factor of 504?
True
Is 640 a multiple of 40?
True
Is 27 a factor of 30807?
True
Is 39795 a multiple of 105?
True
Does 6 divide 276?
True
Does 8 divide 1640?
True
Does 17 divide 782?
True
Does 165 divide 13365?
True
Is 1411 a multiple of 13?
False
Does 129 divide 41022?
True
Is 311 a factor of 62200?
True
Is 1628 a multiple of 3?
False
Is 57 a factor of 126540?
True
Does 19 divide 2071?
True
Does 31 divide 4901?
False
Is 81 a factor of 15795?
True
Is 4853 a multiple of 10?
False
Is 738 a multiple of 2?
True
Is 118 a multiple of 10?
False
Is 14 a factor of 252?
True
Is 1244 a multiple of 42?
False
Is 375 a multiple of 6?
False
Does 30 divide 917?
False
Does 25 divide 300?
True
Is 6 a factor of 3582?
True
Is 683 a multiple of 15?
False
Is 17 a factor of 879?
False
Is 12 a factor of 1169?
False
Does 193 divide 25476?
True
Is 316 a multiple of 7?
False
Is 9982 a multiple of 117?
False
Is 21 a factor of 2761?
False
Is 101 a multiple of 5?
False
Does 24 divide 888?
True
Is 28 a factor of 868?
True
Is 277 a multiple of 41?
False
Is 330 a multiple of 15?
True
Does 3 divide 6325?
False
Is 92 a factor of 11224?
True
Is 583 a multiple of 37?
False
Is 1425 a multiple of 61?
False
Does 11 divide 5802?
False
Is 18 a factor of 7060?
False
Is 6 a factor of 859?
False
Is 289 a multiple of 8?
False
Does 14 divide 406?
True
Is 69 a factor of 30537?
False
Is 7 a factor of 2296?
True
Is 66 a factor of 5478?
True
Is 75 a factor | {
"pile_set_name": "DM Mathematics"
} |
7?
129457877
What are the prime factors of 3905160?
2, 3, 5, 7, 4649
List the prime factors of 1670737012.
2, 7, 47, 1033, 1229
List the prime factors of 80941397.
1129, 71693
List the prime factors of 20082449.
19, 1056971
List the prime factors of 87494097.
3, 97, 300667
What are the prime factors of 1678832539?
1678832539
What are the prime factors of 424312309?
163, 2603143
List the prime factors of 701711902.
2, 350855951
List the prime factors of 858831120.
2, 3, 5, 7, 79, 719
List the prime factors of 239660156.
2, 43, 1393373
List the prime factors of 621982770.
2, 3, 5, 20732759
What are the prime factors of 1019702474?
2, 7, 61, 1194031
What are the prime factors of 231545627?
17, 509, 26759
List the prime factors of 2564107405.
5, 41, 53, 235997
List the prime factors of 36703720.
2, 5, 917593
What are the prime factors of 102408304?
2, 37, 172987
What are the prime factors of 2816222137?
2816222137
What are the prime factors of 5021551339?
7, 79, 9080563
What are the prime factors of 115967664?
2, 3, 805331
List the prime factors of 330773652.
2, 3, 11, 29, 9601
List the prime factors of 945379589.
7, 11, 1753951
What are the prime factors of 1574524414?
2, 19, 151, 274403
What are the prime factors of 442291352?
2, 55286419
What are the prime factors of 66427532?
2, 2131, 7793
What are the prime factors of 3321449771?
31, 107143541
List the prime factors of 132879726.
2, 3, 7, 311, 3391
What are the prime factors of 386896689?
3, 59, 242873
List the prime factors of 3290597592.
2, 3, 911, 150503
List the prime factors of 119301069.
3, 23, 1729001
What are the prime factors of 42298584?
2, 3, 17, 43, 2411
List the prime factors of 627004179.
3, 23222377
List the prime factors of 51333927.
3, 41, 149, 2801
What are the prime factors of 557076575?
5, 11, 2025733
What are the prime factors of 354360578?
2, 11, 13, 1239023
List the prime factors of 224493252.
2, 3, 18707771
List the prime factors of 27873083.
7, 3981869
List the prime factors of 564465411.
3, 62718379
What are the prime factors of 106973049?
3, 157, 383, 593
What are the prime factors of 525326657?
43, 71, 172069
What are the prime factors of 1094201126?
2, 23, 173, 359, 383
What are the prime factors of 4916756377?
13, 2237941
List the prime factors of 925856977.
9059, 102203
What are the prime factors of 156344056?
2, 11, 1776637
What are the prime factors of 17153608?
2, 67, 32003
List the prime factors of 9817223.
13, 755171
List the prime factors of 734934239.
13, 6047, 9349
List the prime factors of 4003558994.
2, 1879, 1065343
What are the prime factors of 1575027738?
2, 3, 1381, 63361
List the prime factors of 1713499073.
11, 13, 11982511
What are the prime factors of 936557181?
3, 7, 4955329
What are the prime factors of 127182790?
2, 5, 7, 73, 24889
List the prime factors of 1790533164.
2, 3, 7, 23, 926777
List the prime factors of 22992588.
2, 3, 47, 107, 127
What are the prime factors of 1450564652?
2, 19, 19086377
What are the prime factors of 153321263?
41, 107, 34949
List the prime factors of 730474336.
2, 22827323
What are the prime factors of 472068586?
2, 11, 167, 128489
List the prime factors of 132433618.
2, 66216809
List the prime factors of 74558155.
5, 7, 347, 877
What are the prime factors of 431850059?
431850059
What are the prime factors of 279727993?
373, 749941
What are the prime factors of 5993802?
2, 3, 332989
What are the prime factors of 95118666?
2, 3, 29, 43, 12713
What are the prime factors of 2399520834?
2, 3, 53, 5273
What are the prime factors of 71739116?
2, 17, 23, 45869
List the prime factors of 39090922.
2, 13, 17, 59, 1499
List the prime factors of 561455231.
23, 24411097
What are the prime factors of 34284697?
23, 1490639
List the prime factors of 7845016443.
3, 11, 277, 858223
List the prime factors of 33311113.
11, 101, 29983
What are the prime factors of 1513065828?
2, 3, 79, 1596061
List the prime factors of 97587485.
5, 19517497
List the prime factors of 626934622.
2, 113, 2774047
What are the prime factors of 501967735?
5, 100393547
What are the prime factors of 31913365?
5, 11, 331, 1753
List the prime factors of 1003135314.
2, 3, 167189219
What are the prime factors of 3095475413?
17, 47, 109, 35543
What are the prime factors of 1160778651?
3, 23, 2897, 5807
List the prime factors of 202972736.
2, 3171449
What are the prime factors of 801455334?
2, 3, 367, 363967
What are the prime factors of 140579530?
2, 5, 7, 13, 29, 761
List the prime factors of 367220221.
181, 2028841
List the prime factors of 41298234.
2, 3, 41, 167879
What are the prime factors of 35378415?
3, 5, 659, 1193
List the prime factors of 1612170340.
2, 5, 11, 827, 8861
What are the prime factors of 204391763?
204391763
What are the prime factors of 1894434133?
787, 2407159
List the prime factors of 3834549243.
3, 7, 61, 142543
What are the prime factors of 44420216?
2, 1009, 5503
List the prime factors of 51144489.
3, 11, 516611
What are the prime factors of 197934296?
2, 7, 47, 157, 479
What are the prime factors of 25288359?
3, 8429453
List the prime factors of 845124722.
2, 13, 97, 149, 173
What are the prime factors of 2313342732?
2, 3, 71, 2715191
What are the prime factors of 680150695?
5, 7, 19, 31, 32993
List the prime factors of 70511476.
2, 7, 2518267
What are the prime factors of 1061931697?
1061931697
List the prime factors of 94873139.
41, 67, 34537
List the prime factors of 233567703.
3, 19, 167, 8179
What are the prime factors of 146554632?
2, 3, 7, 29, 37, 271
List the prime factors of 618635606.
2, 309317803
List the prime factors of 3897446432.
2, 11, 11072291
What are the prime factors of 4874103921?
3, 29, 71, 313, 2521
List the prime factors of 280309414.
2, 7, 11, 109, 16699
List the prime factors of 922288918.
2, 19, 1297, 18713
List the prime factors of 1531429436.
2, 607, 630737
What are the prime factors of 74176954?
2, 29, 41, 31193
List the prime factors of 207418056.
2, 3, 61, 141679
List the prime factors of 94844963.
137, 692299
List the prime factors of 492495524.
2, 123123881
List the prime factors of 32479744.
2, 11, 73, 79
List the prime factors of 1724337874.
2, 7, 61, 2019131
What are the prime factors of 151367157?
3, 5606191
What are the prime factors of 2211658015?
5, 7, 5743, 11003
What are the prime factors of 80294558?
2, 40147279
What are the prime factors of 757903798?
2, 101, 233, 16103
List the prime factors of 284445692.
2, 23, 47, 157, 419
List the prime factors of 140958130.
2, 5, 14095813
What are the prime factors of 90440572?
2, 193, 607
What are the prime factors of 1183606343?
1129, 1048367
List the prime factors of 32964896.
2, 1030153
List the prime factors of 5714255299.
71, 80482469
What are the prime factors of 255848899?
10859, 23561
What are the prime factors of 77690988?
2, 3, 83, 107
List the prime factors of 256687676.
2, 7, 1309631
List the prime factors of 1999235885.
5, 14449, 27673
List the prime factors of 20461023.
3, 11, 31, 59, 113
What are the prime factors of 2701856898?
2, 3, 13, 1282933
What are the prime factors of 447245372?
2, 7, 101, 167, 947
What are the prime factors of 6519638631?
3, 11, 1632767
List the prime factors of 50069163.
3, 227, 73523
What are the prime factors of 3745457964?
2, 3, 167, 622997
List the prime factors of 5721551548.
2, 19, 83, 907031
List the prime factors of 282293467.
23, 12273629
List the prime factors of 57019338.
2, 3, 3167741
List the prime factors of 599532456.
2, 3, 127, 239, 823
What are the prime factors of 129345590?
2, 5, 11, 271, 4339
List the prime factors of 2828833635.
3, 5, 919, 205211
What are the prime factors of 5408256584?
2, 61, 277, 40009
What are the prime factors of 126161527?
37, 43, 179, 443
List the prime factors of 195055578.
2, 3, 10836421
What are the prime factors of 84241742?
2, 13, 107, 283
List the prime factors of 634076225.
5, 25363049
What are the prime factors of 104863966?
2, 191, 223, 1231
What are the prime factors of 374671857?
3, 7, 17, 43, 24407
List the prime factors of 47107364.
2, 37, 71, 4483
What are the prime factors of 181761159?
3, 41, 599, 2467
List the prime factors of 547413375.
3, 5, 397, 3677
List the prime factors of 1535856225.
3, 5, 2521, 8123
List the prime factors of 797228773 | {
"pile_set_name": "DM Mathematics"
} |
Four letters picked without replacement from {a: 2, u: 2, s: 4, c: 1}. Give prob of sequence auua.
1/756
Calculate prob of sequence dau when three letters picked without replacement from aadaudaaaa.
7/360
What is prob of sequence jrqr when four letters picked without replacement from {j: 1, k: 3, q: 2, r: 6}?
1/198
Two letters picked without replacement from qqqqrqrqrrrr. What is prob of sequence rr?
5/22
Two letters picked without replacement from {x: 8, k: 5, r: 3, d: 1, f: 2}. What is prob of sequence xr?
4/57
What is prob of sequence vbii when four letters picked without replacement from {i: 2, k: 1, u: 1, b: 1, v: 1, z: 1}?
1/420
Two letters picked without replacement from ttlntplttplpptppdpt. What is prob of sequence ll?
1/57
Three letters picked without replacement from {i: 8, k: 2}. What is prob of sequence ikk?
1/45
Calculate prob of sequence hh when two letters picked without replacement from {x: 1, o: 1, u: 2, h: 2, z: 1}.
1/21
Two letters picked without replacement from {w: 4, l: 5, x: 3}. What is prob of sequence lx?
5/44
Calculate prob of sequence dw when two letters picked without replacement from {w: 4, d: 3}.
2/7
Four letters picked without replacement from {d: 2, t: 1, n: 1, a: 2, z: 1}. What is prob of sequence data?
1/210
Four letters picked without replacement from {t: 1, l: 10, v: 2, e: 2, d: 1}. What is prob of sequence evve?
1/10920
Calculate prob of sequence uuum when four letters picked without replacement from {m: 5, u: 9}.
15/143
Three letters picked without replacement from {b: 5, u: 2, y: 9}. What is prob of sequence ubu?
1/336
Four letters picked without replacement from {h: 4, d: 2, m: 2, z: 2}. What is prob of sequence hzdd?
1/315
Calculate prob of sequence ozm when three letters picked without replacement from zuuooaoomouoomaua.
7/2040
Calculate prob of sequence fx when two letters picked without replacement from {q: 4, x: 1, f: 1, b: 1, o: 1}.
1/56
Calculate prob of sequence xg when two letters picked without replacement from {g: 1, y: 1, x: 1}.
1/6
Four letters picked without replacement from gggpopogigig. What is prob of sequence igio?
1/495
Two letters picked without replacement from gqzqqqqqqgzzqzzzqqzq. What is prob of sequence qz?
77/380
Two letters picked without replacement from dfiwj. What is prob of sequence wf?
1/20
What is prob of sequence pv when two letters picked without replacement from {p: 2, w: 8, v: 2}?
1/33
Four letters picked without replacement from ebbedebeeedbexeexebe. What is prob of sequence dxeb?
11/5814
Two letters picked without replacement from mvmivmviimimmvivtiiv. What is prob of sequence it?
7/380
Four letters picked without replacement from qqqqhqqqhqqhhqqhqqqq. Give prob of sequence qhqq.
455/3876
Three letters picked without replacement from gqbbbggqggdgdabggqd. Give prob of sequence ddb.
4/969
Calculate prob of sequence hhx when three letters picked without replacement from {h: 2, x: 1}.
1/3
What is prob of sequence kvk when three letters picked without replacement from vkuugkvvvkglgg?
1/91
What is prob of sequence tmu when three letters picked without replacement from {t: 1, m: 2, e: 1, k: 2, u: 1, p: 1}?
1/168
Calculate prob of sequence foo when three letters picked without replacement from ofpppppfppppo.
1/429
Calculate prob of sequence upus when four letters picked without replacement from {u: 3, p: 3, s: 5}.
1/88
What is prob of sequence tmyn when four letters picked without replacement from {m: 3, y: 8, t: 3, n: 3}?
9/2380
Calculate prob of sequence iii when three letters picked without replacement from jjijjijjjjijjjijjj.
1/204
Three letters picked without replacement from {j: 1, l: 2, w: 1}. What is prob of sequence jwl?
1/12
Calculate prob of sequence cccc when four letters picked without replacement from {c: 9}.
1
Three letters picked without replacement from hhuhuhhhh. What is prob of sequence uhu?
1/36
Four letters picked without replacement from {v: 3, a: 1, i: 7, d: 3, f: 3, e: 2}. What is prob of sequence edia?
7/15504
Calculate prob of sequence ttu when three letters picked without replacement from {v: 1, u: 5, q: 1, t: 2, y: 3}.
1/132
What is prob of sequence lkkv when four letters picked without replacement from klkllvokkrv?
1/110
Three letters picked without replacement from nttttttttionotoot. Give prob of sequence ion.
1/510
Calculate prob of sequence yig when three letters picked without replacement from {y: 1, n: 2, g: 1, i: 1}.
1/60
Three letters picked without replacement from agbgggmgeggegoaobgae. Give prob of sequence ooa.
1/1140
What is prob of sequence ntxt when four letters picked without replacement from {x: 6, t: 6, n: 7}?
35/2584
Two letters picked without replacement from qnchf. What is prob of sequence nq?
1/20
Three letters picked without replacement from {a: 2, q: 1, k: 1, m: 1}. Give prob of sequence akq.
1/30
Calculate prob of sequence dm when two letters picked without replacement from {d: 6, m: 8, q: 3}.
3/17
What is prob of sequence ekb when three letters picked without replacement from {s: 2, e: 2, b: 11, k: 4}?
44/2907
Calculate prob of sequence bbat when four letters picked without replacement from {b: 9, i: 1, t: 6, a: 3}.
9/646
Calculate prob of sequence zc when two letters picked without replacement from czduufdzffffucf.
2/105
Calculate prob of sequence jjj when three letters picked without replacement from {y: 8, j: 3}.
1/165
What is prob of sequence kkf when three letters picked without replacement from sksfsvsspksbvsb?
1/1365
Two letters picked without replacement from avycacycyr. What is prob of sequence yv?
1/30
Three letters picked without replacement from {f: 4, y: 2, i: 3, p: 1, b: 4, o: 1}. Give prob of sequence bib.
6/455
Two letters picked without replacement from {z: 2, p: 2, o: 2}. What is prob of sequence op?
2/15
What is prob of sequence eyow when four letters picked without replacement from ooeooewoyywoeooww?
2/595
Two letters picked without replacement from {m: 2, t: 2, e: 9, w: 6}. What is prob of sequence ee?
4/19
Three letters picked without replacement from {n: 2, l: 3, u: 1, m: 3, p: 1}. What is prob of sequence mpu?
1/240
What is prob of sequence gmq when three letters picked without replacement from {m: 6, g: 4, q: 3}?
6/143
Three letters picked without replacement from {p: 1, o: 1, c: 1, n: 5, a: 1}. Give prob of sequence cna.
5/504
Four letters picked without replacement from aiiszidsi. Give prob of sequence ssda.
1/1512
What is prob of sequence hh when two letters picked without replacement from hzplfhzzfh?
1/15
Calculate prob of sequence hqur when four letters picked without replacement from hqhhvuuvhurh.
1/792
Two letters picked without replacement from {b: 1, p: 2, i: 2, l: 1, g: 2, j: 1}. What is prob of sequence bi?
1/36
Three letters picked without replacement from {j: 6, t: 2, p: 11}. What is prob of sequence jjt?
10/969
Calculate prob of sequence tp when two letters picked without replacement from ptpp.
1/4
Three letters picked without replacement from {z: 1, e: 2, w: 2, n: 6}. Give prob of sequence eew.
2/495
What is prob of sequence nss when three letters picked without replacement from snss?
1/4
Three letters picked without replacement from wgtbwgn. What is prob of sequence wnb?
1/105
What is prob of sequence cysc when four letters picked without replacement from {s: 8, y: 6, c: 3}?
3/595
What is prob of sequence hrr when three letters picked without replacement from hhhrhhhhhrhr?
9/220
What is prob of sequence ph when two letters picked without replacement from mtphs?
1/20
Three letters picked without replacement from {f: 2, a: 3, u: 1, q: 1}. Give prob of sequence fqu.
1/105
What is prob of sequence iifi when four letters picked without replacement from {f: 10, w: 2, i: 3, g: 3}?
1/1224
Two letters picked without replacement from ixqkieeiqfqiqk. Give prob of sequence kx.
1/91
Three letters picked without replacement from ijpjvvjmipjijjjuj. What is prob of sequence iji?
1/85
Four letters picked without replacement from {k: 4, f: 14}. What is prob of sequence kfkf?
91/3060
Calculate prob of sequence sms when three letters picked without replacement from smmmsms.
4/35
Three letters picked without replacement from ojojrjjjjjjjjoojroj. Give prob of sequence roo.
20/2907
Four letters pick | {
"pile_set_name": "DM Mathematics"
} |
+ 14). Let q = -8 - -36. Suppose 4*g - q = 2*z, 3*g + 3*z - 13 = -2*g. Solve 5*l + x + 0 - 18 = 0, a*x - 24 = -g*l for l.
3
Suppose 4 + 66 = -5*i + 5*h, -3*h - 13 = 2*i. Let f(r) = -r - 7. Let o be f(i). Suppose -5*w - o = -24. Solve -4*u = -3*d + 27, w*u + 9 = d - 8 for d.
5
Suppose -z + 5*x - 3 = -0*x, -3*x = 4*z - 11. Solve 4*b - z*y = y, -3*b + 2*y = -1 for b.
3
Let m = -5 - -9. Solve -5*p = -m*j + 6, -17 = 4*j + 4*p - 5 for j.
-1
Suppose d - 4 + 3 = 0, 3*j + 7 = -2*d. Let m be 6/15*(-30)/j. Let o = -3 - -14. Solve -l - o = m*v - 4*l, 22 = -2*v - 4*l for v.
-5
Let u = -3 + 5. Let p be (9/(-6) - -2)*6. Suppose 3*a + 3 = p*g, -4*g + a = -g - 7. Solve 3 = g*r - h + 5, u*h = -2*r - 4 for r.
-1
Let t(a) = a**2 + 9*a - 8. Let f be t(-10). Suppose -8 = -f*j - 2*r, -j - 3*r + 9 = j. Solve -16 = -n - 4*v + 5, 3*n + j*v - 27 = 0 for n.
5
Let f(b) = b**3 - 6*b**2 - b + 2. Let k be f(5). Let d = -14 - k. Solve t + 20 = 5*l, 5*t + 5*l = 6 + d for t.
0
Suppose 0 = 4*r + 1 + 15. Suppose f + 15 = 6*l - l, l + 13 = -3*f. Let i be 6/r + 43/l. Solve 3*a + 2*h - 21 = 8*a, 2*a = -5*h - i for a.
-5
Let d(z) = -z + 5. Let w be d(5). Let j = -7 - -12. Solve j*a - 7 = i, w = -a - 2*i - 3 for a.
1
Suppose 2*j - w = 4*w + 24, 4*j = -4*w - 8. Suppose 37 = 3*z - j. Suppose -5*a + 2*o + z = 0, -1 = -3*a + 4*o + 4. Solve a = -4*v - 1, -2*p - v - 7 = 0 for p.
-3
Suppose -8*y - 15 = -3*y. Let t = y - -3. Solve l - 5*a = 8, -4 = 4*l - t*a - 2*a for l.
-2
Suppose -2*t = 16 + 40. Let h be (-7)/(t/(-8)) - -6. Solve -4*a - 2*i = -h, -3*a + 4*i + 0*i = -25 for a.
3
Let k(x) = -2*x + x + 8 + 2*x. Suppose 16 - 6 = -3*v - 4*m, -5*m = -2*v - 22. Let n be k(v). Solve 2*u - n*w = -2, -5*u + 17 = -2*w + 7 for u.
4
Let d = 10 - 8. Solve 2*s - 5*g = -25, s = -d*g + 6 + 4 for s.
0
Suppose -t + 2*t - 18 = -5*p, 4*p = t + 9. Suppose -4*k + 6*k - 10 = 0. Solve -3*w - 1 = 4*m, k*m + 1 = p*w - 7 for m.
-1
Let d be (-2)/((-2)/(-2)*-1). Suppose 88 = 3*u - d. Solve u = -2*p + 4*a, 3*p - a + 28 = 8 for p.
-5
Let h(t) = t**3 + 2*t**2 - 2*t - 1. Let l = -8 - -6. Let o be h(l). Let g be 1 + 6 + (-6)/o. Solve r + g = -2*j, -j + 0*j = r for j.
-5
Let u be ((-1)/3)/(2/(-18)). Suppose -4*s = -5*n + 7, 4*s + u = -n + 14. Solve -a - 4*k = 2*a + 12, n*k = 0 for a.
-4
Suppose 3*v = 3, 5*x + 7*v - 2*v - 15 = 0. Solve h - x*a + 1 - 5 = 0, -9 = 3*a for h.
-2
Let r be 0*3/6 + 2. Let z be (-2 - 0/(-1))/r. Let g = z + 4. Solve 3*s = -2*d + 2*s + 1, 0 = g*d - 4*s - 18 for d.
2
Let q(o) = -o**2 - 4*o + 6. Let f be q(-5). Suppose a + f = 13. Solve -a = 2*z - 2*u, -4*u + 22 = -z + u for z.
-2
Let o be 11/3 + 6/(-9). Suppose k + 6 = o*k. Let m = -1 + k. Solve d = -5*z + 30, m*d + 2*d - z - 15 = 0 for d.
5
Suppose 0 = 6*c - c - 90. Let g be 76/18 - 4/c. Suppose 0*x + 24 = g*x + 3*d, -2*x = -4*d + 10. Solve x*p + 3*k - 13 = k, -17 = -5*p - k for p.
3
Let b = 128 + -121. Solve 3*a - 4*v + 4 = -b, v = a + 3 for a.
-1
Let q(a) = -a**2 + 3. Let y(d) = d**3 + 5*d**2 + 3*d - 4. Let x be y(-4). Let j be q(x). Solve 6*t = t - 2*z + j, 2 = t - z for t.
1
Suppose g - 3 = -c, 4 = 3*c - 4*g + 2*g. Suppose -y + 5*m = 3 - c, 0 = -5*y + 2*m + 18. Solve 0 = -3*n + 6*n - x - 12, -2*x = -n + y for n.
4
Let t be -2 + 6/2 + 4. Solve n - 6*n = c + 9, -t*n + c = 1 for n.
-1
Let m(c) = -2*c - 4 + 5*c - 4*c. Let q be m(-6). Solve a = -q*f - 0*f - 5, 0 = -2*a - 5*f - 15 for a.
5
Suppose 2*f = 4*j + 6*f - 44, 0 = 5*j - 5*f - 95. Let a = -11 + j. Let b = 0 + a. Solve -5*y - 5 + 34 = -2*s, -s - 22 = -b*y for y.
5
Suppose -2*m + 4 = 4*l - 0, -l - 5*m = 8. Suppose -2*z = l*z - 12. Suppose z + 1 = f. Solve h - 3*n = -2*n, 5*h - f*n = 0 for h.
0
Suppose -2*w = 1 - 5. Let j be 4/(-14) - (-4)/14. Suppose -4*f + f + 15 = j, -w*f = -5*i. Solve i*g + 8 - 2 = -l, 0 = 3*l for g.
-3
Suppose 6*k = 5*k + 20. Let m = k - 16. Solve -2*h = m*w + 14, -6*w + h - 14 = -w for w.
-3
Suppose -3*s + 2*y + 5 = -8, -y + 1 = s. Solve 4 + 4 = -s*x - u, 4*x = -4*u for x.
-4
Suppose -2*u = -2*y + 4, y + 2*u = -2*u + 7. Solve 0*r = -2*x - r + 4, y*x = 4*r + 17 for x.
3
Let n(d) = -d**3 + 3*d**2 + 5*d. Let r be n(4). Suppose w + 0*w = r. Solve 18 = w*u + 3*i - 5*i, 5*i = -25 for u.
2
Let c(z) be the first derivative of 1 - 1/2*z**2 + 10*z. Let o be c(7). Solve 6 = o*l + 2*k, -2*l + 5*k - 15 = l for l.
0
Let h(q) = 2*q - 2. Let m be h(3). Suppose -2*a = -0*a - m. Solve a*l = -3*n + 6*l - 11, -4*n - 10 = -3*l for n.
-1
Let d be -2 - ((-2)/(-1) - 39). Suppose 3*c = -2*c + 25. Solve -2*b = 3*b - 5*g + d, c*g - 15 = 0 for b.
-4
Let g be 6/5*40/16. Let k(o) = o - 2. Let f be k(4). Solve f*c = 4*l + 4, -12 = 3*c + g*l - 0*l for c.
-2
Suppose 0 = 2*k, s + 2 + 1 = -4*k. Let v be 0 - (-3 - 3/s). Solve 2*m = -2*x + 8, -v*x + 23 = -0*m + 5*m for m.
5
Let h(d) = -d**3 + 9*d**2 - 3 - 11*d**2 + d + 0*d. Let t be h(-3). Solve 3*s = t*a + 12, 2*s - 16 = -3*s + a for s.
3
Let m(p) = 2*p**3 + p**2 - p + 1. Let n be m(1). Solve -11 = n*o + 5*r, 5 = -2*o - 2*r + 3 for o.
3
Suppose 32 = 5*k + 17. Solve 2*u = -k*b - 18, -6 = u - 3 for b.
-4
Let u = -7 - -11. Suppose -u*c + 84 = -5*l, c + l = -2*l + 4. Solve 4*g - c = -2*z + 6*z, -3*z = 4*g - 16 for z.
0
Suppose 4*n - 4*d + 64 = 0, 2*n + 4*d + d + 46 = 0. Let l be (n/(-8))/((-3)/8). Let o be l/5*(-1 - 4). Solve 0 = 5*q + 3*f + o, f = -2*q - f - 4 for q.
0
Suppose -3*a = a - 20. Let v(y) = -y**2 - 6*y + 5. Let q be v(-5). Solve 2*t + 3*t = 2*j, -a*t - q = 0 for j.
-5
Let q(m) be the second derivative of m**5/20 - m**4 + m**2/2 - m. Let j be q(12). Solve o + 5*i = 29, -i - j = 3*o - 18 for o.
4
Suppose -18*s + 5 = -17*s. Solve -s*b + 15 = -5*n, 21 = 4*b + 6*n - n for b.
4
Suppose -19*r + 21*r = 6. Solve -5*i - 2*q = -i - 6, -i - r*q = 6 for i.
3
Suppose -14 = -6*q + 4. Solve -5*n = 2*u + 5, -3*n + 2*u = -u + q for n.
-1
Suppose 0 = -4*w - 4 + 12. Solve 4 = w*o + 5*s, 5*o + 0*s + 21 = 3*s for o.
-3
Suppose 6*q - 3*q = h + 74, 2*q + h = 41. Let l(p) = -4*p. Let w be l(-1). Solve -24 = o + 4*v, w*v = -2*o + v - q for o.
-4
Let h = 1 + 2. Let q be 1 + ((-42)/(-2) - 2). Suppose 2*b - 12 = -2*b. Solve h*o = 3*i, b*i + 0*o + q = -o for i.
-5
Let w be (-3)/((-38)/18 - -2). Solve -5*j - 3*r = w, -5*j = -3*r + 4 - 1 for j.
-3
Let n(p) = -p**3 + 5*p**2 - 4*p. Let k be n(4). Solve k*l - 2*h - 7 = 5*l, 4*l = -3*h - 7 for l.
-1
Let z = -19 - 1. Let u = -12 + 20. Let o be u/z + (-34)/(-10). Solve 5*d - 9 = o*l, -l - 5 = -3*d - 2 for l.
-3
Suppose -2*y + 7*y = 4*z + 109, z + 1 = 0. Solve -5*r = -4*j + 16, -4*r - j - y = -4 for r.
-4
Suppose -5*i - 30 = -5*z, i + i + 4 = 0. Suppose -2*y - z = 6. Let f(d) = -d**2 - 6*d - 1. Let x be f(y). Solve 0 = 3*l + 3*b + 21, -4*l = -7*l + x*b for l.
-4
Let x be (-4)/(12/(-9)) + -1 - -3. Solve 0 = -5*r - x, -5*l + l + 3*r = -7 for l.
1
Let d(m) = -m**2 - 7*m - 3. Let s be d(-6). Let p = 49 - 45. Let b = 2 - 2. Solve -s*u = -4*u - i - 5, -p*i = b for u.
-5
Let s(r) = -r - 1. Let h be s(-5). Solve -5*d = h*f + 16, -4*d - f - 3 = 1 for d.
0
Suppose -s = 5*h - h, s = -3*h + 4. Suppose -s = -w + 2*b - 7, w = -b. Solve w*f + 16 = -q, 2*q = -4*f + 4*q - 8 for f.
-4
Suppose c + 0 - 2 = 0. Let b(k) = k**2 + 2*k + 1. Let s be b(-1). Suppose r = -s*r + c. Solve r*w = -4*j - 9 - 11, 0 = -4*j - 20 for w.
0
Let k = 19 + -15. Solve -f + 5 = 4*c + k*f, 20 = 4*f for c.
-5
Let m(w) = -4 + 10*w**2 - 2*w + w**3 + 2*w + 8. Let c be m(-10). Solve -4 = 5*n - q, -3*n + 5*q - 2 = -c for n.
-1
Suppose -5*o - 4 = -3*x, -o = 5*x - 4*o - 12. Let q(n) = -n + 4. Let v be q(x). Let u be -1 + -1 + v - -18. Solve w - f + u = 6*w, -3*w + 11 = f for w.
3
Let y be 2/(-8) + (-22)/8. Let n be 1/(-1) - 3*y. Let z(u) = -u**2 - 3*u + 4. Let k be z(-3). Solve 17 = -4*i - l, i + n = -0*i - k*l for i.
-4
Let c be (-5 - (-69)/9) + 2/(-3). Solve -u = 7 - c, 4*u = 4*g - 8 for g.
-3
Suppose 0 = 2*u + 3*u - 85. Solve -4*m = -4, -4*l + 3*m + u = 4*m for l.
4
Let w = 71 + -67. Solve 25 = 3*b - w*k, 0*b - 3*b + 3*k = -21 for b.
3
Let u(b) = -10*b - 1. Let f be u(-1). Suppose -h - 7 = -4*q + 1, -4*q + 20 = 0. Let l be h/(-54) + 2/f. Solve -5*m + 3*o + 35 = l, m + 4*o = -4*m for m.
4
Let j(r) = -r**3 - 14*r**2 - 15*r - 4. Let w be j(-13). Let z(g) = -g**3 + 3*g**2 - 3*g + 2. Let k be z(2). Solve 4*n + 27 = -5*a, k = 5*a + n + w - 4 for a.
-3
Suppose -10 - 10 = -5*z. Let d be 11/z + | {
"pile_set_name": "DM Mathematics"
} |
e of 2/3*q**3 - q**2 - 2 - n*q**5 + 0*q + 1/2*q**4. Factor s(l).
-2*l*(l - 1)**2*(l + 1)
Let k(q) = -q**2 + 2*q. Let h be k(2). Suppose p + 0 - 3 = h. Let 4 - 4*v**3 + 5*v**p - 4*v**2 + 5*v**3 - 6*v + 0*v**3 = 0. What is v?
-1, 2/3, 1
Let z be (-5)/(20/16*-1). Suppose 2/3*c**z - 2/3*c**3 + 0*c + 0 + 0*c**2 = 0. Calculate c.
0, 1
Factor 0*f + 2/17*f**3 + 2/17*f**2 + 0.
2*f**2*(f + 1)/17
Suppose -5 = -5*j - 0. Let v be (-4*6/(-16))/j. Suppose 0*i - i**2 - 1/2*i**4 + 0 - v*i**3 = 0. Calculate i.
-2, -1, 0
Let o(u) be the third derivative of -u**8/672 + u**7/70 - 13*u**6/240 + u**5/10 - u**4/12 - 7*u**2. Factor o(i).
-i*(i - 2)**2*(i - 1)**2/2
Let o(m) = 2*m**3 + 2*m**2 + 8*m. Let y(j) = -2*j**3 - j**2 - 7*j. Let k(n) = 5*o(n) + 6*y(n). Factor k(s).
-2*s*(s - 1)**2
Factor 1/3*i**3 - 2*i**4 + 0 - 3/2*i**5 + 2/3*i**2 - 1/6*i.
-i*(i + 1)**2*(3*i - 1)**2/6
Solve 25*a**4 - a**5 + 0*a**2 - a + 2*a**3 - 2 + 4*a**2 - 27*a**4 = 0 for a.
-2, -1, 1
Let 8/3*x**2 + 6 - 8*x = 0. What is x?
3/2
Let g(o) be the second derivative of 0*o**2 + 1/24*o**4 - 7*o + 0*o**3 + 0 - 1/40*o**5. Solve g(a) = 0 for a.
0, 1
Suppose 12 = 5*g - 3*i + 5*i, -i = -4*g + 20. Let m be 9/(-15) - (g + -7). Let -11/5*p**3 - 1/5 + 3/5*p + 1/5*p**2 + m*p**4 - 4/5*p**5 = 0. Calculate p.
-1/2, 1/2, 1
Let n(t) be the first derivative of 21*t**6/2 - 249*t**5/5 + 117*t**4/2 + 12*t**3 - 12*t**2 - 55. Find c such that n(c) = 0.
-1/3, 0, 2/7, 2
Factor 2 + 4/3*t**3 - 14/3*t**2 + 4/3*t.
2*(t - 3)*(t - 1)*(2*t + 1)/3
Let f be ((-131)/7)/(96/(-7)). Let s = -1/32 + f. Factor 1/3*n**2 - s*n + 4/3.
(n - 2)**2/3
Let t = 116 + -810/7. Let z be 1*(6 + -2) + -2. Factor -t*y**3 + 2/7*y + 2/7 - 2/7*y**z.
-2*(y - 1)*(y + 1)**2/7
Let x(q) be the first derivative of 3/4*q**4 + 5 - 2*q**3 + 3/2*q**2 + 0*q. Let x(j) = 0. What is j?
0, 1
Let a(l) be the first derivative of 3*l**5/35 + 3*l**4/14 - l**3/7 - 3*l**2/7 + 5. Solve a(f) = 0.
-2, -1, 0, 1
Let h(u) be the third derivative of u**7/42 + u**6/8 + u**5/4 + 5*u**4/24 + 2*u**2. Factor h(n).
5*n*(n + 1)**3
Let q be 9/10*60/45. Solve -3/5*v**2 - 3/5 + q*v = 0 for v.
1
Suppose 2 - 6 = -k. Suppose k*y + 2*r - 16 = -0*r, -3*r + 2 = -5*y. Find g such that -3*g + 0*g**y + g + g**2 = 0.
0, 2
Suppose -18*m = -15*m. Let p(v) be the second derivative of 3*v + 0*v**2 + m*v**4 - 3/20*v**5 + 0 + 1/15*v**6 + 1/6*v**3. Factor p(g).
g*(g - 1)**2*(2*g + 1)
Let g(y) = y**2 + 1. Let q(c) = 5*c**2 + 50*c - 115. Let b(m) = 10*g(m) - q(m). Find k, given that b(k) = 0.
5
Let d(l) be the second derivative of -2*l + 1/21*l**3 + 0 + 1/42*l**4 + 0*l**2. Factor d(p).
2*p*(p + 1)/7
Determine g, given that 9 - 14*g**2 + 5 - 10 + 6*g**3 + 4 = 0.
-2/3, 1, 2
Let k(i) = i**2 - 5*i - 50. Let a be k(-5). Solve 2/5*c**2 - 2/5*c + a = 0 for c.
0, 1
Let y(h) be the second derivative of -h**7/189 - h**6/135 + h**5/45 + h**4/27 - h**3/27 - h**2/9 - 15*h. Solve y(u) = 0.
-1, 1
Let s be (-6)/8*16/(-6). Let m(l) be the first derivative of s + l**2 - 2/3*l**3 + 0*l. Solve m(w) = 0 for w.
0, 1
Factor 3*b - 66*b**2 + 11*b + 2 + 50*b**2.
-2*(b - 1)*(8*b + 1)
Let s(y) be the second derivative of -y**6/150 - y**5/50 - y**4/60 + 12*y. Factor s(a).
-a**2*(a + 1)**2/5
Solve -3/5*q**3 - 3/5*q**4 - 1/5*q**2 - 1/5*q**5 + 0*q + 0 = 0.
-1, 0
Let u(m) = -m**2 - 5*m - 1. Let h(y) = -y**2 - 6*y - 1. Let a(o) = -3*h(o) + 4*u(o). Determine s, given that a(s) = 0.
-1
Let a(h) = 84*h**3 - 276*h**2 + 232*h - 48. Let t(c) = 56*c**3 - 184*c**2 + 155*c - 32. Let n(s) = -5*a(s) + 8*t(s). Factor n(w).
4*(w - 2)*(w - 1)*(7*w - 2)
Let n(d) be the third derivative of 0*d**3 + 0 + 0*d + 1/840*d**7 + 1/240*d**6 + 1/240*d**5 + 0*d**4 + 6*d**2. Solve n(k) = 0 for k.
-1, 0
Let l(i) = -i - 1. Let b be l(-5). Let r(w) be the third derivative of 1/48*w**b - 1/80*w**6 + 0 + 0*w**3 - 1/60*w**5 + 0*w - w**2. Factor r(n).
-n*(n + 1)*(3*n - 1)/2
Suppose -1 = 3*u - h - 4, 3*h + 9 = -3*u. Let d(f) be the second derivative of 2*f - 1/12*f**3 + 1/48*f**4 + 1/8*f**2 + u. Factor d(x).
(x - 1)**2/4
Let t(z) = -z**2 - 9*z - 5. Let l be t(-8). Determine w, given that -3*w + w**2 - 10*w**3 - 4*w**2 + w**4 + 25*w**l - 10*w**4 = 0.
-1/3, 0, 1
Let d(l) = -3*l**2 - 15*l - 27. Let y(m) be the third derivative of m**5/10 + 31*m**4/24 + 9*m**3 - 6*m**2. Let r(h) = 5*d(h) + 3*y(h). Factor r(o).
3*(o + 3)**2
Suppose 4/7 - 2*s + 2/7*s**5 + 16/7*s**2 - 4/7*s**4 - 4/7*s**3 = 0. What is s?
-2, 1
Let l(u) = -8*u**3 - 2*u**3 + 2*u**4 + 8*u**2 + 0*u**2 - 6*u. Let y(d) = 2*d**4 - 11*d**3 + 7*d**2 - 7*d. Let h(f) = -3*l(f) + 2*y(f). Let h(o) = 0. What is o?
0, 1, 2
Let h(l) be the second derivative of l**6/105 - l**5/14 + 3*l**4/14 - l**3/3 + 2*l**2/7 - 32*l. Factor h(r).
2*(r - 2)*(r - 1)**3/7
Let j = -22 - -22. Let p(d) be the second derivative of 1/2*d**4 + d**3 + 1/10*d**5 + j + d**2 - d. Determine i so that p(i) = 0.
-1
Let d be 1302/(-9) + 6/9. Let s = d + 1298/9. Find h such that 2/3*h**3 + s*h - 8/9*h**5 + 0 + 10/9*h**2 - 10/9*h**4 = 0.
-1, -1/4, 0, 1
Let u(j) be the third derivative of 9*j**7/70 - 3*j**6/2 - 173*j**5/20 - 35*j**4/2 - 18*j**3 + 9*j**2. Factor u(c).
3*(c - 9)*(c + 1)*(3*c + 2)**2
Let x(c) be the third derivative of -25*c**8/1848 + 16*c**7/231 - 47*c**6/330 + 8*c**5/55 - 3*c**4/44 - 10*c**2. Solve x(a) = 0.
0, 3/5, 1
Factor -3/2 - 17/4*q - 5/4*q**2.
-(q + 3)*(5*q + 2)/4
Let s(q) = -14*q**5 + 46*q**4 - 54*q**3 + 24*q**2 - 4*q. Let i(g) = 28*g**5 - 92*g**4 + 108*g**3 - 47*g**2 + 8*g. Let h(t) = -2*i(t) - 5*s(t). Factor h(x).
2*x*(x - 1)**3*(7*x - 2)
Let o(x) be the second derivative of x**6/60 - x**5/30 - x**4/12 + x**3/3 - 2*x**2 - 3*x. Let k(r) be the first derivative of o(r). Find f, given that k(f) = 0.
-1, 1
Let c be -3 - (-2)/4*10. Let b(k) = k. Let q(i) = -i**2 + 3*i. Let d(a) = c*b(a) - q(a). Factor d(u).
u*(u - 1)
Let z be 5/(-35)*(-14)/96. Let o(s) be the third derivative of 0 + z*s**4 + 1/240*s**6 - s**2 + 0*s**3 - 1/60*s**5 + 0*s. Factor o(d).
d*(d - 1)**2/2
Let k(v) = 35*v**4 + 25*v**3 - 96*v**2 + 25*v. Let g(l) = 12*l**4 + 8*l**3 - 32*l**2 + 8*l. Let m(b) = -11*g(b) + 4*k(b). Factor m(j).
4*j*(j - 1)*(j + 3)*(2*j - 1)
Let r = 141 + -138. What is y in -y**r + 1/2*y**2 - 3/4*y**4 + y + 1/4 = 0?
-1, -1/3, 1
Let q(n) be the second derivative of -n**4/12 - n**3/6 + n**2 + 21*n. Factor q(w).
-(w - 1)*(w + 2)
Suppose -2*q**2 + 2 - 8*q**3 + 16/3*q + 8/3*q**4 = 0. What is q?
-1/2, 1, 3
Let v(i) = -4*i**3 + 4*i + 4. Let t(m) = -m**4 - m**3 - m - 1. Let u(k) = -4*t(k) - v(k). Factor u(j).
4*j**3*(j + 2)
Suppose -s + 7 = 2*t, 5*t + 4*s - 13 = 3*s. Factor -t*q - q**4 - 6*q**2 - q - 3 - q + 2 - 4*q**3.
-(q + 1)**4
Let n(b) be the second derivative of b**4/3 + 8*b**3/3 - 18*b. Let n(f) = 0. What is f?
-4, 0
Suppose 1/3*x**3 + 2/3*x**5 + 0*x - x**4 + 0*x**2 + 0 = 0. What is x?
0, 1/2, 1
Let v(y) be the third derivative of y**7/70 + y**6/40 - 3*y**5/20 - 5*y**4/8 - y**3 - 4*y**2. Solve v(t) = 0 for t.
-1, 2
Suppose x + 4*z = 4*x + 10, 24 = 2*x + 5*z. Let g be 3 - x - 1 - -4. Let -2/7*q**g - 2/7*q**5 + 0*q + 2/7*q**3 + 0 + 2/7*q**2 = 0. Calculate q.
-1, 0, 1
Let m(h) be the first derivative of 4*h**5/5 - 21*h**4 + 196*h**3 - 686*h**2 + 32. Suppose m(q) = 0. Calculate q.
0, 7
Determine a, given that 13*a**2 + 4*a**2 + 1 - 18*a**2 = 0.
-1, 1
Let y(f) be the first derivative of -f**6/6 - 3*f**5/5 - f**4/2 + 2*f**3/3 + 3*f**2/2 + f + 2. Determine o so that y(o) = 0.
-1, 1
Let n = -23 + 20. Let g be 26/(-56) + n/(-4). Determine f so that 2/7 + 4/7*f + g*f**2 = 0.
-1
Let f be 2/(-6) - 536/(-24). Let d be (-1)/(f/(-4) + 3). Find p, given that 0*p + d*p**3 - 2/5*p**2 + 0 = 0.
0, 1
Let o be 4/6*((0 - -8) + -7). Solve 0 + o*h**2 + 2/3*h = 0 for h.
-1, 0
Let i(w) = -w**2 - 8*w - 7. Let m be i(-7). Let r be m/(-2 - -6) - -2. Find k, given that -16/5*k - 8/5 + r*k**2 = 0.
-2/5, 2
Let y(k) be the second derivative of 1/24*k**5 + 0 - k - 7/48*k**4 + 1/6*k**3 - 1/2*k**2. Let n(s) be the first derivative of y(s). Factor n(h).
(h - 1)*(5*h - 2)/2
Let k be (4/12)/(6/12). Factor 1/3*g**2 - k - 1/3*g.
(g - 2)*(g + 1)/3
Let t(f) be the first derivative of 5 + 1/2*f - 1/12*f**3 - 1/8*f**2. Suppose t(p) = 0. What is p?
-2, 1
Let m(b) be the second derivative of 2*b**2 + 2*b - 1/10*b**5 + b**3 + 0*b**4 + 0. Factor m(q).
-2*(q - 2)*(q + 1)**2
Let v(s) be the first derivative of 5*s* | {
"pile_set_name": "DM Mathematics"
} |
-35 = 5*d - 2*s - 3*s for d.
-4
Suppose 22 = 5*l + 2*y, l = -0*l + y + 3. Let p = l + -3. Suppose q - 3 + p = 0. Solve -5*o - q*g = 0, g = o + 1 + 6 for o.
-2
Let v be (-18 + 15)*(-4)/(-6). Let h be 4*(2/1)/(-2). Let i = v - h. Solve -12 = -3*k + r, -3*k - i*r + 16 = -k for k.
5
Suppose -2*w = 2*w - 16. Solve 3*a = -5*s - 3 - 0, -w = -a for s.
-3
Let b be 3/(9/(-12))*4. Let q = b + 18. Solve -3*j + 11 = -d, 3*j + q*d - 18 = j for j.
5
Let x = -35 + 39. Solve 0 = z + 5*q + 19, -3*z - z - 2*q - x = 0 for z.
1
Let j be ((-16)/10)/((-2)/(-10)). Let y(a) = a**2 - 15*a + 12. Let b be y(16). Let g be (-4)/(-14) + j/b. Solve 3*i - 5*c + g = -13, -2*i + 5*c = 12 for i.
-1
Let w(u) = -u + 10. Let h be w(8). Suppose h*q - 10 = -0*q. Solve 0 = -q*g + 5*a + 10, -4*g + 7*g - 4*a = 7 for g.
1
Suppose -u = u + 8. Let q(f) = f**3 + 5*f**2 + 4*f + 4. Let s be q(u). Let k be (-2)/(-1) - 0 - 0. Solve 2*g = -k*x + 12, 0*x + s*x + 5*g - 26 = 0 for x.
4
Let h = -1 - -3. Let x be (2 - 66/15)*-5. Suppose -2*i = 2*m - 1 - 7, -h*i - 4*m = -x. Solve 6*z - 3*z = q - 1, 6 = -4*q + i*z for q.
-2
Suppose -5*o - 4 = i, i - 5*i + 22 = o. Let f(p) = -2*p + 12. Let a be f(i). Solve -2*h - 11 = 3*z, a*h - 2*h + 19 = -3*z for h.
2
Suppose 2*x = 28 - 6. Let l(y) = y**2 - 11*y + 2. Let j be l(x). Solve 0 = j*p + 6, 3*p + 4 = -3*f + 8*f for f.
-1
Let m(s) be the first derivative of -s**2/2 - 8*s - 4. Let a be m(-11). Solve a*g = -4*x + 1, x - g - 3*g = 5 for x.
1
Suppose -8 = -3*l - 2. Solve v = 4*c + 15, 27 = -2*c - l*v + 7 for c.
-5
Let p = -5 - -7. Let r(a) = a - 4. Let k be 8/(-48) - (-25)/6. Let y be r(k). Solve 0 = 5*o - 3*s - 13, y = -4*o - 2*s - p*s + 36 for o.
5
Let l = 11 - -9. Suppose 3*a - 3*v = 15, 3*a = 7*a + 4*v - l. Suppose 2*b - 10 = 3*g, 4*g + 0*b - b = -5. Solve -h - 6*n - 11 = -n, a*h - 4*n - 3 = g for h.
-1
Let o be (14/(-14))/(2/(-6)). Solve 0 = -2*t + 8, c = -0*c - o*t + 17 for c.
5
Let k be (-8)/(2 - 0) + -2. Let w be ((-12)/4)/(k/10). Solve -5*b + 12 = -3*z, -b = w*z - 0*b - 8 for z.
1
Suppose -4*z + 34 = -26. Solve z = -0*s - 3*s + l, -15 = 3*s + 4*l for s.
-5
Let c be (-26)/(-6)*(2 - (-2 + 1)). Solve 0 = 5*u + a - 23, 3*u - a + 2*a = c for u.
5
Let n = -23 + 32. Solve -m - d - n = 0, 3*d - 1 = -0*m + 4*m for m.
-4
Suppose -9 = -2*i - 29. Let c = i - -15. Solve -6*n + n = -3*l + 18, -2*l + n = -c for l.
1
Let q(c) = 5*c + 7*c**2 - 5*c - c**3 + 8*c + 1. Let g be q(8). Suppose -5*j - 18 + 0 = 2*x, -5*x - j = -g. Solve -5*p = -4*k - 3, -3*k + p - x = -4*p for k.
-2
Suppose 5*s = 4*x + x - 25, -3*x = 3*s - 3. Suppose -40 = x*o + 2*o. Let c be (o/5)/((-2)/5). Solve 3*b + 0 = 2*d - 3, -4*b = c*d - 16 for d.
3
Let m be (4 - 1) + (15 - 3). Let s = -7 - 2. Let a be (-6)/s - 4/6. Solve 5*j - 4*l - m = 0, -3*j + 0*l - l + 9 = a for j.
3
Let g(a) = a - 6. Let r be g(6). Let l(b) = 2*b + 3. Let o be l(r). Solve -3*y + 4*p - 18 = p, -26 = 5*y - o*p for y.
-4
Suppose -6*l - 40 = -11*l. Solve 2*x + l = 4*y, 5*y + 4*x = 2*x + 19 for y.
3
Let x be (-2)/(-10) - (144/(-20))/4. Solve i = 5*c + 23, -x*c = 3*i + c + 3 for i.
3
Suppose -3*y = 12, -3 = -s + 2*y + 9. Suppose 5*v = -4*l + 14, 5*v - 2*l - 50 = 3*l. Solve h - f + v = 0, -4*h - 8 = s*f + 8 for h.
-5
Suppose 2*l = -l + 105. Suppose 3*w = 2*i - l, 0 + 65 = 3*i - 2*w. Suppose 4*v + i = 2*d + 5*v, 4*d - 55 = -3*v. Solve 2 = -x - u, 4*x + d = -x + 3*u for x.
-2
Let r(f) = -2*f - 13. Let z = -18 - -10. Let y be r(z). Solve 2*g = -5*h + 15 - 5, -5*g = -y*h - 25 for h.
0
Let p be 4/14 + (-152)/(-56). Suppose -48 = -5*j - 2*t, t - p*t = 4*j - 40. Solve -j = -2*l, 3*l = y + 5 + 2 for y.
5
Let p = -42 - -67. Solve 5*b = 3*k - p, -4*b = -2*k + 5*k - 7 for b.
-2
Let g be 2*2/(-4)*-5. Suppose g*u = -10, t - 2*u - 1 = -4*u. Suppose -12 = 4*f, 4*k + f - 15 = 2*f. Solve 0 = -k*i + b + 6, -t*b + 18 = i - 0*b for i.
3
Suppose -5*y = 5*c - 140, 0 = c - 4*c + 5*y + 92. Solve 0 = m + 5*x + 27, -5*x + 6 = -m + c for m.
-2
Let f(s) = s**3 - 5*s**2 - 4*s - 8. Let m be f(6). Suppose -2*d = 2*d - m. Let q = -36 - -51. Solve 2*k + 4*p + d = q, -2*k = -3*p + 7 for k.
1
Suppose -3*x + 4 + 1 = 5*l, -3*x = 3*l + 3. Solve 6*i + 15 = l*i - 5*j, -4*j - 9 = i for i.
-5
Suppose -3*h + 6*h = 0. Let a = h + 0. Solve -4*z - 3*w = -a*z + 20, 3*w + 10 = z for z.
-2
Let i = 0 + 5. Solve -4 = -i*j + 3*h - 0, -3*j + 4*h + 9 = 0 for j.
-1
Suppose 5*k + 0 - 15 = 0. Let g = -174 + 173. Let h be 7 + k/g + 0. Solve 2*v - 17 = -5*n, n + h + 7 = -4*v for v.
-4
Suppose -17*z + 12*z = -55. Solve 2*k + 3*j + 0 = z, -k - 5*j = -16 for k.
1
Suppose 3*s + 3 = 2*t + 14, -15 = 3*t - 3*s. Let k = 6 + t. Solve -20 = 3*z + 4*b, -b + 5 = -4*z - k*b for z.
0
Let x be (-2 + 2)*(-1)/(-3). Solve -s - 2*r = 0, x = -2*s - 0*r + 3*r for s.
0
Let t = -35 + 50. Let g be (3/5)/(3/t). Solve -4*o - 5*d - 21 = -0*d, 3*o + 15 = -g*d for o.
-4
Let r(a) = -5 - a**2 - 3*a**3 - 5 + 10. Let j be r(-1). Solve t + 2 = 5*h - 10, -j = 4*h + 5*t for h.
2
Let l = 18 - 13. Solve -2*p - 14 = -w + l*w, 0 = 3*w - p - 2 for w.
-1
Let g = 9 + -8. Let m = 4 - g. Solve u - 2*j = 2, u - 21 = -m*u - 5*j for u.
4
Suppose -8 = -5*v + v - 3*d, 3*v - d = 19. Let u(p) = p**2 - 4*p - 5. Let k be u(5). Solve -3*m = v*n + 6 + 1, -5*n + 5 = k for m.
-4
Suppose 2*t - 5 = 1. Solve 2*q + t*z + 0*z = 6, -4*z = q - 8 for q.
0
Suppose l + 2*b - 16 = 6*b, 5*l + 8 = -2*b. Suppose 5 = -x + 2*p, -30 = -x - 2*p - 3*p. Solve x*a + v = -20, l = 3*a + v + 11 + 3 for a.
-3
Let k = 13 + -6. Let q = k + -2. Solve 4*p + 12 = -3*c, -20 = -0*p + p + q*c for p.
0
Let n = 5 - 1. Let o be (-30)/((84/(-8))/7). Suppose -h - 3*h + 8 = 0. Solve 0 = h*z + n*j + o, 25 = 3*z - 3*j - 2*j for z.
0
Let n be 22/(-5) - 2/(-5). Let l = n + 6. Solve -10 = -2*h + r, -4*h = -9*h + l*r + 24 for h.
4
Suppose 2*h = 53 - 11. Suppose 0 = 4*y - h - 11. Suppose -3*b + y = -2*b. Solve -8 = 4*r + 4*c, 3*r = -2*c - b + 2 for r.
-2
Suppose 5*v = 6 + 4. Let f be (6/(-10))/((-2)/10). Let y = 1 + f. Solve -2*t + y*h + 0*h + 24 = 0, h = -v*t + 4 for t.
4
Let c(t) = -2*t. Let i be c(-2). Let u be 45/(-10)*i/(-6). Solve -6 = -u*d + 2*b + b, -3*d - 5*b = -14 for d.
3
Let r(d) = -1 + 0*d - 7 + 0 - d + d**2. Let h be r(0). Let z be (10/8)/((-2)/h). Solve -5*v = -5*i - 35, 0*v + v - z = 0 for i.
-2
Let s be 5/2 - 2/4. Suppose -4*g - 3*n + 22 = -s*g, 5*g = n + 21. Solve -g*q + 5 = 5*p, 4*p + 3*q + 1 - 2 = 0 for p.
-2
Suppose t + 17 - 1 = 0. Let m be (-6)/(-15) - t/10. Let o be 13 + (-3)/((-3)/m). Solve 5*j = 4*j + 2*s - 1, -o = -5*s for j.
5
Suppose 2*k + 46 = -14. Let v be (-162)/k + 4/(-10). Suppose m = 4*m + 2*x - 20, v*m = -2*x + 28. Solve m*r - 3*b = -29, -8 = r + b - 2*b for r.
-5
Let t(g) = -g + 2. Let f be t(6). Let m = 20 - f. Solve 5*p + 3*a = m, 0*p - 6 = -3*p + a for p.
3
Suppose 2*i + 0 = 6, -4*i = -2*r - 12. Solve r = 2*w + 3*o + 2, -w - 5*o = 4*w - 5 for w.
5
Let i = 17 - 10. Suppose -3*t = 1 - i. Solve 2*w - 3*o = t - 4, 3*w + 4 = 4*o for w.
-4
Let m = 8 + -3. Suppose -d - 4*d = -3*r + 38, -86 = -5*r - 3*d. Suppose 0 = -q + 5*q - r. Solve m*o - 3*g = -15, -4*o - q*g + 3 = -5*o for o.
-3
Let i = 3 + -1. Let m = -5 + 8. Solve m*z - i*a - a = 6, -z + 5*a - 2 = 0 for z.
3
Suppose -3*n = 4*t + 21, 2*n + 2*t + 3*t = -14. Let q = 16 + n. Solve -3*f + 3*i + 5 = -4*f, 5*f - i + q = 0 for f.
-2
Suppose -6*p = 4*p. Solve 4*g + p*m - 10 = m, 0 = -2*g - 2*m for g.
2
Let x be ((-9)/6 + 3)*24/18. Solve r - x*f = 6*r - 25, -3*r + 15 = 4*f for r.
5
Suppose 20 = 5*a - 0*a. Suppose 0 = -4*p + 2*h + 16, 13 = 3*p - a*h - 9. Solve -4 = z - 3*s, -z + 14 = s + p*s for z.
5
Suppose 3*r - 67 = q, -4*r + 3*q = -2*r - 40. Let u(c) = -c**2 - 8*c + 2. Let m be u(-8). Solve -m*l = 2*v - 3 - 15, r = 3*v + 2*l for v.
5
Let q(t) = t - 7. Let m be q(9). Suppose -m*g - 4 = -4*g. Solve -2*z - 3*k - 13 = -0, -g*k = 2*z + 10 for z.
-2
Let t(b) = -5*b - 6. Let r be t(-5). Solve -6 + r = -5*q - 4*i, -2*i - 3 = -q for q.
-1
Let y(j) = -j**3 + 16*j**2 - 16*j + 17. Let d be y(15). Solve -4*z = 4*f + 6 + 2, f + d = -5*z for z.
0
Let v(w) = -9*w + 3. Let a(d) = -d. Let p(b) = -a(b) + v(b). Let g be 20/(-8) - 0 - (-2)/(-4). Let f be p(g). Solve 3 + 1 = 4*m, 0 = 5*i + 2*m - f for i.
5
Let i = -5 + 8. Let o(d) = -6*d**2 - 6*d. Let x(k) = -5*k**2 - 5*k. Let f(n) = 4*o(n) - 5*x(n). Let y be f(1). Solve s - 5*j = i, | {
"pile_set_name": "DM Mathematics"
} |
the nearest 100.
-100
Let f = -101841 - 54159. What is f rounded to the nearest 10000?
-160000
Let p = 835.14 + -850. Let c = p + 15. Let n = -0.192 + c. Round n to two dps.
-0.05
Let r = -0.586259 - -0.086187. Let l = 58 + -57.5. Let s = l + r. What is s rounded to five decimal places?
-0.00007
Let j = 46 + -27. Let z = j - 18.9926. What is z rounded to three dps?
0.007
Let x be ((-8)/(-1))/(3/33). Let p(d) = 12*d**2 + 90*d - 2. Let n(m) = 4*m. Let z(v) = x*n(v) - 4*p(v). Let u be z(-8). What is u rounded to the nearest 1000?
-3000
Let a = 4.9 - 0.15. Let u = -4 + a. What is u rounded to 1 decimal place?
0.8
Let f(i) = 11112*i**2 + 5*i + 7. Let b be f(-3). Round b to the nearest 1000000.
0
Let z = 0.03656 + -0.037. What is z rounded to four dps?
-0.0004
Let b = -56.9999991 - -57. What is b rounded to 6 dps?
0.000001
Let n be (-1 + 5 - 3)*-90003 + 3. Round n to the nearest 10000.
-90000
Let m = 0.06000172 + -0.06. What is m rounded to 7 dps?
0.0000017
Let x = -2.2 + 2. Let n = -0.3 - x. Let l = 0.3 + n. What is l rounded to 1 dp?
0.2
Let i = 75 - 74.99901. Round i to four decimal places.
0.001
Suppose -2*u = -7*u. Let m be 25*(u - -1)*-184. What is m rounded to the nearest one thousand?
-5000
Suppose -23000004 = -2*t - 2*j, 2*t + 5*j - 34610848 + 11610838 = 0. Round t to the nearest one million.
12000000
Let u = 107 - 57. Let d be (u/(-3))/((-2)/(-84)). Round d to the nearest 100.
-700
Suppose -5*k + 144984 = -z, -4*z - 20 = z. Suppose 0*b + k = b - s, -2*s + 8 = 0. What is b rounded to the nearest ten thousand?
30000
Let y = 2.6 - 2.2. Let u = y + -0.39999992. What is u rounded to 7 dps?
0.0000001
Suppose -r + 80000080 = 3*r. Suppose 5*y = -5*x - r, -5*x + 7999980 = -0*y - 2*y. Round y to the nearest 1000000.
-4000000
Let t = -41.2 - -41.2199. Round t to 3 dps.
0.02
Let q = -5.386 - 0.014. Let b = 1029 + -1024.19. Let z = q + b. What is z rounded to one decimal place?
-0.6
Let l = 1.79972 + -1.8. What is l rounded to four decimal places?
-0.0003
Let y(v) = -v**2 + 5*v - 4. Let j be y(3). Suppose i = -j*i. Round i to the nearest 10.
0
Let c(z) = -110641*z**3 - 7*z**2 + 2*z + 3. Let g be c(-5). Let m = 20029943 - g. What is m rounded to the nearest one million?
6000000
Let w = -12216675.91829 + 161.91829. Let m = w - -12216694.99901. Let d = m + -181. Round d to 4 dps.
-0.001
Suppose -5 = -o - 0. Suppose -t - o*n - 935 = 0, 4*t + 4594 = -t + 2*n. What is t rounded to the nearest 100?
-900
Suppose -a - 3*r = 4*a + 2648, -5*r - 1592 = 3*a. What is a rounded to the nearest 100?
-500
Let y(p) = 160000*p**3 + p**2 - p. Let m be y(1). Let l be 10*(-1)/((-1)/m). What is l rounded to the nearest 100000?
1600000
Let w = -54 + 59.4. Let b = w + 0.6. Let q = b + -5.9986. What is q rounded to 3 dps?
0.001
Let n = -6208532 - -4418532. What is n rounded to the nearest 100000?
-1800000
Let j be 1 - -3*(-4)/6. Let n be 4 + (-1)/j*1. Suppose 1679980 = 3*t + n*y, -2*y + 5*y + 1120012 = 2*t. What is t rounded to the nearest one hundred thousand?
600000
Let x = 0.054 + -0.0540168. Round x to six dps.
-0.000017
Let q = 647131.00044 - 647107. Let o = q + -24. What is o rounded to four dps?
0.0004
Suppose -4*b = -8 - 8. Suppose -2*h = -b*h. Round h to 4 dps.
0
Suppose r - 23915082 = -5*s - 304010, -4*s = 3*r - 70833249. Let c = r - 33111087. What is c rounded to the nearest 1000000?
-10000000
Let n = 2 + -2.08. Let d = -0.0799994 - n. Round d to 6 dps.
0.000001
Let z = 41.147 - 84.184. Let w = 43 + z. Round w to two dps.
-0.04
Let x = 8.86383552 + 2.13616918. Let m = 11 - x. What is m rounded to 6 dps?
-0.000005
Let y be ((-32)/(-12))/(2/(-627)). What is y rounded to the nearest 100?
-800
Let k = -103 + -171. Round k to the nearest 10.
-270
Let l(f) = 399*f**2 + 6*f - 5. Suppose 0 = -2*z + 6*z - 16. Suppose 15 = z*t - t. Let n be l(t). What is n rounded to the nearest ten thousand?
10000
Let t = 0.08 + -0.08003. Round t to 5 decimal places.
-0.00003
Let f(h) = -3337*h**3 + h**2 - 1. Let s be f(-1). Let w = 2063 + s. What is w rounded to the nearest one thousand?
5000
Let q(p) = -804*p**3 + 2*p**2 - 12*p + 14. Let k be q(11). What is k rounded to the nearest 100000?
-1100000
Let k = -16 - -15.24. Let c = -3.14 + k. Round c to 0 decimal places.
-4
Let w be 3319/(-4) + (-14)/56. Round w to the nearest one hundred.
-800
Let o = 116.7 + -112. Round o to 0 decimal places.
5
Let x be ((-4)/(-2) - 0) + -557124. Let s = -982878 + x. What is s rounded to the nearest 100000?
-1500000
Let y = -181915421 - -112315421. What is y rounded to the nearest one million?
-70000000
Let b(f) = -20*f**2 - 5*f + 5. Let y be b(6). Let s = 2283 + -3578. Let v = s - y. Round v to the nearest 100.
-600
Let q = -0.30848 - 29.63752. Let x = q - -30. Let j = 0.514 - x. Round j to one decimal place.
0.5
Let w = 182694.9859963 + -182695. Let u = 0.014 + w. Round u to 6 decimal places.
-0.000004
Let z = -114 + 113.909. What is z rounded to two dps?
-0.09
Let i = -2325.2 + 2326.9811. Let q = i + -0.0741. Let a = q - 1.7. Round a to two decimal places.
0.01
Let f = -35772.37 - -53991. Let r = f + -18218.1299988. Let x = 0.5 - r. What is x rounded to seven dps?
-0.0000012
Let l = -50 - -42.1. Let i = 9.16 + l. Let v = 1.5 - i. Round v to 1 decimal place.
0.2
Let w = 1.2797 + -1.29. Round w to 3 dps.
-0.01
Let b = 106808.58 + -105551. Let i = b - 1268. Let f = -11 - i. What is f rounded to 1 dp?
-0.6
Suppose 0 = 18*d + 53093 - 249653. Round d to the nearest 1000.
11000
Let b = -26.6 + 34. Let o = 14646865.600041 - 14646873. Let i = o + b. What is i rounded to five dps?
0.00004
Suppose 0 = -d - p + 4, p - 20 = -5*d. Suppose -4*a + 7 = -9, d*a = o - 2897. Suppose 0 = -5*i - o - 1237. What is i rounded to the nearest one hundred?
-800
Let m = -136.121 + 136. Let h = m + 0.068. What is h rounded to two dps?
-0.05
Let n(i) = -i**3 - 10*i + 3. Suppose 12 = -4*p, 3*s + 5*p - 12 = 2*p. Let t be n(s). What is t rounded to the nearest one hundred?
-400
Let o = -0.78 + 0.7852. Round o to three decimal places.
0.005
Let y(m) = 342001*m**3 + 5*m**2 + 3*m - 1. Let t be y(-1). Round t to the nearest 100000.
-300000
Suppose 5*j - 17 = 8. Suppose 22988 = -j*h + 3*u, -4*h - 2576 = -3*u + 15812. Round h to the nearest one thousand.
-5000
Let o = -18470403 - -18470423.999971. Let m = -0.37 - -21.37. Let d = o - m. Round d to five dps.
-0.00003
Suppose -2*v = -0*v - 120. Suppose 0 = -3*z + 162 + v. Round z to the nearest ten.
70
Let h = -97 + 81.3. What is h rounded to the nearest integer?
-16
Suppose v = -v + 18400. Round v to the nearest one thousand.
9000
Let o = -147244.1494339 + -9.8443661. Let l = o + 147271. Let i = -17 + l. Round i to 3 decimal places.
0.006
Let k = 24653.782 - 24536. Let w = k + 0.218. Let q = w - 118.00049. What is q rounded to four dps?
-0.0005
Let j = -711709818936388922 - -711709815952362621.99999933. Let q = j + 2984026368. Let t = q - 68. What is t rounded to seven dps?
-0.0000007
Let n = 2.28 - 2.461. What is n rounded to 2 decimal places?
-0.18
Let n = -15 - -21. Suppose -3*i - n = -15. Suppose i*x = -5*m - 5500009, x - 3064110 + 8564113 = -5*m. Round m to the nearest one million.
-1000000
Let a = -3.14 - -1.47. What is a rounded to 1 decimal place?
-1.7
Let b(t) = -28518*t**3 - 3*t**2 + 3*t + 4. Let a be b(3). Round a to the nearest one hundred thousand.
-800000
Let o = -1.74 + 0.96. Round o to one decimal place.
-0.8
Let d = 54 - 53.7. Round d to one decimal place.
0.3
Suppose 2*k = f - 6*f - 8, -16 = 4*f. What is k rounded to the nearest integer?
6
Let d(i) = 55*i + 15. Let y be d(-13). Round y to the nearest 1000.
-1000
Let g = -0.0999732 - -0.1. Round g to five dps.
0.00003
Suppose -1432 - 4968 = -4*x. Let m be 50/(4798/x - 3). What is m rounded to the nearest one hundred thousand?
0
Let i = 0.7 + -2.2. Let r = i - -1.98. What is r rounded to one dp?
0.5
Let a = -0.4 + 0.12. What is a rounded to 1 dp?
-0.3
Let j = -228.65756065 + 226.95756. Let c = 0.41 - -1.29. Let g = j + c. Round g to 7 dps.
-0.0000007
Let u = 9 + -5. Suppose -n + 320000 = u*n. What is n rounded to the nearest 10000?
60000
Let g = -18 + 25. Let u = -6.97 + g. Round u to 1 dp.
0
Let t = -0.4 - -0.393. Let g = t + 0.053. Let w = 0.04599963 - g. Round w to 7 dps.
-0.0000004
Let p = 5.9035 - 5.9. What is p rounded to | {
"pile_set_name": "DM Mathematics"
} |
the second derivative of 0*o**2 - 1/7*o**3 + 1/6*o**4 + 4 + 1/105*o**6 - 23*o - 1/14*o**5. Factor m(u).
2*u*(u - 3)*(u - 1)**2/7
Let c(u) = -16*u**3 + 912*u**2 + 1848*u + 10. Let o(y) = 5*y**3 - 304*y**2 - 616*y - 3. Let g(f) = -3*c(f) - 10*o(f). Factor g(b).
-2*b*(b - 154)*(b + 2)
Let t(c) be the third derivative of c**6/60 + 352*c**5/15 + 30976*c**4/3 - 112*c**2 + 3*c. Determine v so that t(v) = 0.
-352, 0
Let i(j) = 3*j**3 - 1. Let h(l) = 2*l**3 - 75*l**2 - 1107*l + 11766. Let p(b) = -2*h(b) + 2*i(b). Solve p(z) = 0.
-41, 7
Let r(m) be the second derivative of -1/11*m**3 + 0*m**2 + 0 + m - 1/33*m**4 + 1/110*m**5. Factor r(o).
2*o*(o - 3)*(o + 1)/11
Let c(d) be the first derivative of 2*d**3/27 + 19*d**2/9 - 44*d/3 - 470. Find w such that c(w) = 0.
-22, 3
Suppose -5*b + 771 = 291. Determine n, given that n**3 + 99*n**4 + 5*n**3 + 0*n**5 - 3*n**2 - b*n**4 - 6*n**5 = 0.
-1, 0, 1/2, 1
Suppose 29*v + 8*v = 28*v + 18. Let x(b) be the first derivative of 1/2*b**v - 4/5*b**5 + 0*b - 2/3*b**3 - 7/4*b**4 + 17. Determine d so that x(d) = 0.
-1, 0, 1/4
Let q(s) be the first derivative of -10/9*s**2 - 14/3*s - 2/27*s**3 - 235. Let q(d) = 0. Calculate d.
-7, -3
Let k(q) be the second derivative of q**5/110 - 37*q**4/33 + 1292*q**3/33 + 2888*q**2/11 + 1364*q. Factor k(b).
2*(b - 38)**2*(b + 2)/11
Let b = -86 + 89. Suppose -6 = t - b*l, -2*t = -t + l - 6. Factor 7*x + 5*x + 3*x**2 - t - 15*x - 3.
3*(x - 2)*(x + 1)
Let u = 44985 - 89967/2. Solve 0 - u*t + 1/2*t**2 = 0.
0, 3
Let v(o) = 24*o**2 - 6701*o + 1747. Let c(b) = 215*b**2 - 60310*b + 15705. Let h(q) = -4*c(q) + 35*v(q). Solve h(t) = 0 for t.
1/4, 335
Determine k so that 41209/4 + 203/2*k + 1/4*k**2 = 0.
-203
Factor 0 + 24300*o**2 + 5/3*o**5 - 515/3*o**4 + 3960*o**3 + 0*o.
5*o**2*(o - 54)**2*(o + 5)/3
Let z(c) be the first derivative of -5*c**3/3 + 5*c**2/2 + 60*c - 2942. Solve z(m) = 0.
-3, 4
Suppose 3/7*y**2 + 2304/7 - 402/7*y = 0. What is y?
6, 128
Let f(i) be the second derivative of i**5/70 + 305*i**4/14 + 93025*i**3/7 + 28372625*i**2/7 - 2*i + 1104. Factor f(u).
2*(u + 305)**3/7
Let x(m) be the second derivative of 3*m**5/20 - 3*m**4 + 27*m**3/2 - 1652*m. Let x(o) = 0. Calculate o.
0, 3, 9
Let p be 1/((-8)/26 + 174361/262262). Suppose 16/5 - 1/5*l**3 + 31/5*l + p*l**2 = 0. Calculate l.
-1, 16
Let z(l) = -32*l - 1053. Let g be z(-33). Let w(i) be the third derivative of 7*i**2 + 1/140*i**5 - 3/14*i**4 + 18/7*i**g + 0 + 0*i. Find b such that w(b) = 0.
6
Solve -12*f**2 - 2/9*f**3 - 68/3 - 310/9*f = 0.
-51, -2, -1
Factor -296*r**3 + 93*r**3 - 544 - 50*r**2 + 94*r**3 + 107*r**3 - 304*r.
-2*(r + 4)**2*(r + 17)
Let b(y) be the third derivative of y**8/1008 - y**6/45 + y**5/30 + 7*y**4/72 - y**3/3 - 2*y**2 + 55*y + 7. Suppose b(n) = 0. What is n?
-3, -1, 1, 2
Let a = -699649/27 - -25913. Let n(z) be the first derivative of a*z**3 + 5/9*z**2 + 0*z - 35. Determine h, given that n(h) = 0.
-5, 0
Let v(i) be the second derivative of -186*i + 211/6*i**4 - 25/2*i**5 - 20/21*i**7 + 22*i**2 + 0 + 145/3*i**3 - 233/15*i**6. Suppose v(j) = 0. Calculate j.
-11, -1, -2/5, -1/4, 1
Let k(j) be the first derivative of -j**7/3780 - j**6/135 - 11*j**5/540 + 4*j**3/3 + 12*j + 12. Let r(y) be the third derivative of k(y). Factor r(s).
-2*s*(s + 1)*(s + 11)/9
Let g be (-5 - 1022/(-196))/(4/42). Factor -15/2*w - 3/4*w**4 - 9/2*w**3 - 9*w**2 - g.
-3*(w + 1)**3*(w + 3)/4
Let y = 282 + -271. Factor -11*n + 15*n - 9 + 13*n - 3*n**2 + y*n.
-(n - 9)*(3*n - 1)
Find h, given that -2/9*h**2 + 0 - 44/9*h = 0.
-22, 0
Let d be (1/(-3))/((-2)/30). Let u(o) be the third derivative of -5/9*o**3 - 1/36*o**d + 0 - 17*o**2 + 0*o + 5/24*o**4. Find k such that u(k) = 0.
1, 2
Let k be 6/4*(-1060)/(-3). Let d be k/210 - 3/(-9). Determine v, given that -4/7 + 4/7*v**5 - d*v**4 + 20/7*v + 40/7*v**3 - 40/7*v**2 = 0.
1
Let z(u) be the third derivative of -u**7/42 + u**6/6 + 5*u**5 - 60*u**4 - 26*u**2 - 17. Factor z(n).
-5*n*(n - 6)**2*(n + 8)
Let a(r) be the second derivative of 0 - 3*r**2 + 7/12*r**3 - 1/24*r**4 - 101*r. Determine c, given that a(c) = 0.
3, 4
Let i(j) be the second derivative of j**4/114 + 802*j**3/57 - 803*j**2/19 - 10000*j. What is b in i(b) = 0?
-803, 1
Let n be 1*2*(4/4 - 0). Factor 1286*z**3 - 1728*z + 72*z**n - 1287*z**3 + 6256 + 7568.
-(z - 24)**3
Let w(f) be the third derivative of -f**8/33600 - f**7/840 - f**6/48 - 7*f**5/60 + f**4/4 + 2*f**2 + 24. Let r(z) be the third derivative of w(z). Factor r(y).
-3*(y + 5)**2/5
Factor 1/10*q**4 + 6492/5*q**2 + 112/5*q**3 + 4928*q + 4840.
(q + 2)**2*(q + 110)**2/10
Let h = -725 - -719. Let t be (h/45)/(-4*(-5)/(-400)). Let 0*l + 0 - 4/3*l**3 + t*l**2 = 0. Calculate l.
0, 2
Suppose -2/7*g**2 - 116/7*g - 432/7 = 0. What is g?
-54, -4
Let p be (26/(-6))/((-2)/6). Let k be (-104)/12*-3 - (58 - 51). Find a, given that k + 0 + p - 16*a + 2*a**2 = 0.
4
Let m = -43749 + 314054/7. Let z = -1115 + m. What is l in 0 + 0*l + z*l**3 - 2/7*l**2 + 2/7*l**5 - 6/7*l**4 = 0?
0, 1
Let i(u) be the third derivative of -57*u**2 + 0 + 5/12*u**4 + 1/15*u**5 + 0*u**3 + 0*u. Solve i(z) = 0 for z.
-5/2, 0
Suppose 0 + 1/3*h**5 + 0*h + 77/3*h**2 + 19/3*h**4 + 95/3*h**3 = 0. What is h?
-11, -7, -1, 0
Let h(c) be the first derivative of -676*c**5/5 + 39*c**4 + 1928*c**3/3 - 960*c**2 + 512*c + 12485. Let h(s) = 0. Calculate s.
-2, 8/13, 1
Let h(t) = 5*t**4 - 55*t**3 - 5*t**2 - 10*t + 10. Let l(r) = r**2 + 2*r - 2. Let g(u) = h(u) + 5*l(u). Factor g(a).
5*a**3*(a - 11)
Let q be -6 + -5 + 5 - (-4 - (3 - -5)). Let n(s) be the first derivative of 0*s**4 + 12 - 1/16*s**2 + 1/20*s**5 + 1/48*s**q - 1/12*s**3 + 0*s. Solve n(x) = 0.
-1, 0, 1
Let l = -2/1099 + 1129/16485. Let z(m) be the third derivative of 19*m**2 + 0*m**3 + 0*m + 0 + 1/30*m**6 - l*m**5 + 0*m**4. Factor z(k).
4*k**2*(k - 1)
Suppose 4*b + 345 = -3*n + 341, -3*b + n = -10. Solve 13/6*w**b - 9/2*w + 1/3 = 0 for w.
1/13, 2
Let x(f) be the first derivative of 14 - 1/120*f**5 + 1/2*f**3 - 1/48*f**4 + 0*f + 7*f**2. Let j(l) be the second derivative of x(l). Let j(m) = 0. What is m?
-3, 2
Solve 29 + 206*u + 204*u**4 - 2*u**5 + 23 + 84*u**3 + 112*u**3 - 410*u**4 + 250*u**4 + 304*u**2 = 0.
-1, 26
Suppose 0 = 19*s - 0 - 76. Let p be 2 - ((-22)/s + 7). Factor -1/2*v**5 + 0*v + 0 - p*v**3 - v**4 + 0*v**2.
-v**3*(v + 1)**2/2
Let h(z) = -z**3 + 6*z**2 - 4*z - 1. Suppose 0 = -g - 5*c + 20, -g - c - c = -11. Let y be h(g). What is v in -27*v**4 + 12*v**4 + 4*v + 7*v**y - 12*v**3 = 0?
-1, 0, 1/2
Suppose 13*r + 28 = 15. Let x be ((-82)/(-205))/(r/(10/(-6))). Suppose -p**3 - x*p**2 + 5/6*p**4 - 1/6 + p = 0. Calculate p.
-1, 1/5, 1
Let z(c) be the first derivative of -c**4/7 + 16*c**3/21 + 6*c**2 + 2888. Factor z(s).
-4*s*(s - 7)*(s + 3)/7
Let c(b) be the third derivative of 29*b**8/4032 - b**7/504 + b**5/60 - b**4/2 + 6*b**2 + 3. Let q(y) be the third derivative of c(y). Factor q(n).
5*n*(29*n - 2)
Let z(g) be the second derivative of -7*g**4/3 + 4*g**3 + 176*g**2 - 7389*g. Determine v, given that z(v) = 0.
-22/7, 4
Let j(d) be the first derivative of -3/4*d**4 - 24 - 27*d**3 - 507*d - 585/2*d**2. Determine h so that j(h) = 0.
-13, -1
Suppose -9 = 3*i + 9. Let r be (3/2 + -2)*24/i. Let 31*b + 9*b - 200 - 3*b**2 + b**r = 0. Calculate b.
10
Let b(i) = 50*i**4 - 230*i**3 - 5*i - 5. Let w(k) = -59*k**4 + 231*k**3 + 6*k + 6. Let x(h) = 6*b(h) + 5*w(h). Factor x(j).
5*j**3*(j - 45)
Let c(y) be the first derivative of 17/3*y**3 + 28 + 21/8*y**4 + 1/24*y**6 + 5*y**2 + 0*y + 11/20*y**5. Factor c(b).
b*(b + 2)**3*(b + 5)/4
Let u(t) be the second derivative of 1/48*t**4 + 1/80*t**5 - 2 - 1/3*t**3 + 21*t - 3/2*t**2. Find s such that u(s) = 0.
-2, 3
Let y = -25961/119 + 3716/17. Let v be (-2)/(-9) + (-44)/(-126). Determine q, given that v*q + y + 1/7*q**2 = 0.
-3, -1
Factor 1353 + 20*s**3 - 25*s + 10*s**3 - 5*s**3 + 1343 - 2886 + 190*s**2.
5*(s - 1)*(s + 1)*(5*s + 38)
Let b(a) be the third derivative of a**5/60 - 485*a**4/12 + 2415*a**2. Factor b(o).
o*(o - 970)
Let b = 6338/11571 - -1456/1653. Solve -2/7*u**2 + b*u - 8/7 = 0.
1, 4
Let l = 78964 + -315835/4. Factor l*h**3 + 0*h + 0 - 15/2*h**2.
3*h**2*(7*h - 10)/4
Let x(f) = 6 + 31*f**2 + 3*f**3 + 6*f - 2 - 28*f**2 + 2. Let a(h) = 6*h**3 + 5*h**2 + 11*h + 11. Let s(z) = -6*a(z) + 11*x(z). Solve s(j) = 0.
0, 1
Let -65*o**3 + 1334/3*o**2 | {
"pile_set_name": "DM Mathematics"
} |
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