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ve of -g**3/3 - g**2/2 + 84*g. Determine n(y).
-3
Let l(q) = -2*q + 111553 - 223115 + 111534. Calculate l(-17).
6
Suppose 4*t - 9 = 11. Let h(y) = -9 + 2 + t - 3*y + 6. Give h(6).
-14
Let g(k) = 5*k**2 - k - 1. Let h(i) = -3*i**3 - 41*i**2 + 13*i - 5. Let f be h(-14). Suppose -f*z + 11*z - 3*w + 14 = 0, w = -3*z + 1. What is g(z)?
5
Let v be (18 + 246)*8/6. Let p be (-31)/(-9) - 3 - v/(-99). Let n(q) = 3*q**2 + 7. Let h(g) = -g**2 + g - 1. Let w(u) = 4*h(u) + n(u). Determine w(p).
3
Let c(t) be the second derivative of t**4/12 - 23*t**3/6 + 33*t**2 - t + 302. Determine c(21).
24
Let h = -136 - -92. Let w = 52 + h. Suppose w*i + 0*i - 8 = 0. Let k(v) = 3*v - 1. Give k(i).
2
Let q(f) be the first derivative of 2*f**2 - 1/3*f**3 + 172 + 10*f. Suppose -2*m + 0 = -w + 3, -2*w - 4*m = -22. Determine q(w).
-11
Let d(n) = -21*n + 872. Let p be d(41). Let b(t) = -t**3 + 11*t**2 - 5*t + 8. What is b(p)?
-47
Suppose 371*b - 81 = 368*b. Let m(j) = 10*j**3 - 11*j**3 - b + 6*j**2 + 35. Calculate m(6).
8
Let r(q) be the second derivative of -q**5/20 + 29*q**4/12 + 31*q**3/6 - 27*q**2/2 - q - 115. Determine r(30).
3
Let m(p) = -32 + 16459*p**2 - 9*p + 3*p - 16460*p**2. Give m(0).
-32
Let f = 248 + -517. Let k = 262 + f. Let x(s) = -s**2 - 6*s - 4. What is x(k)?
-11
Let d(o) = o**3 - 17*o**2 + 5*o + 39. Let n(x) = x**3 - 18*x**2 - 3*x + 41. Let j(i) = 2*d(i) - 3*n(i). Calculate j(21).
-87
Let a(j) = 4*j - 109. Let y be 544/(-80) - -7 - 268/(-10). Determine a(y).
-1
Let w(t) be the third derivative of -t**5/60 - t**4/8 - 1029*t**2 - 2. Determine w(6).
-54
Suppose -4*s = -o - 40, 5*s - 2*o - 50 = -3. Let v(u) = -2*u**2 + 3*u**2 - 9 + s - 6. Let k be (2/1)/4*0. Give v(k).
-4
Let c(j) be the first derivative of -5*j**2/2 - 121*j + 426. Calculate c(-25).
4
Let n(f) be the first derivative of f**3/3 - 5*f**2 - 19*f - 911. Determine n(14).
37
Let j be 513/57 - 6/1. Let h(n) = -n + 10. What is h(j)?
7
Suppose 12 = -3*y, -10*y + 5*y = 5*f - 210. Let v(o) = -2*o**3 + 93*o**2 - 46*o. Determine v(f).
0
Let h(f) = -f**2 - 2*f - 1. Suppose 21*v - 1798 + 854 = -860. What is h(v)?
-25
Let o(c) = -3 - 1 + 2*c + 8. Let k = 189 + -172. Suppose -k = 20*i + 43. Determine o(i).
-2
Let n(f) = -2197*f + 733*f - f**2 + 18 + 721*f + 724*f. Give n(-15).
78
Let j(o) be the first derivative of 3*o**2/2 - 46*o + 815. What is j(10)?
-16
Suppose -5*r + 0*x = -4*x - 10, 3*r + 2*x = 6. Let w(s) = s - s**r + 2 - 3*s**2 + s**2 + s. What is w(2)?
-6
Let k(z) = 12*z + 45. Suppose 14*s + 64*s - 9 + 321 = 0. What is k(s)?
-3
Let x = -7 - 5. Let u be (-540)/80 - (1 + 21/x). Let b(q) = -2*q**2 - 8*q - 8. Calculate b(u).
-32
Let b(q) be the first derivative of q**5/60 + 5*q**4/24 + 7*q**3/6 + 51*q**2/2 - 86. Let i(d) be the second derivative of b(d). What is i(-6)?
13
Let h(z) be the first derivative of -1/6*z**4 - 4*z - 18 + 0*z**2 - 1/10*z**5 + 0*z**3. Let q(o) be the first derivative of h(o). Give q(-2).
8
Let j(u) = u + 1. Let b be j(6). Let h(n) = 5*n + 33. Let s(f) = -2*f - 4. Let i(m) = h(m) + 4*s(m). What is i(b)?
-4
Let m(q) = -22 - 4*q + 31 - 14 + 3*q. Let g = 98 - 98. Calculate m(g).
-5
Let p = -170 - -184. Suppose p*b = 38*b + 192. Let t(k) = k**2 + 7*k - 2. Determine t(b).
6
Let h(w) = -w + 16. Let c(y) = -104*y - 954. Let g be c(-9). Calculate h(g).
34
Let r be 3/1 + 2/(-2). Suppose 30 = 31*m + 185. Let k(u) = 7*u**2 + 5*u + 3. Let l(x) = x**2 + x + 1. Let a(i) = m*l(i) + k(i). What is a(r)?
6
Let t = -1978 + 1979. Let s(m) = -12*m - 1. Let h(l) = 27*l + 2. Let y(b) = 2*h(b) + 5*s(b). Calculate y(t).
-7
Let o(m) be the second derivative of m**4/6 - 2*m**3/3 - 7*m**2/2 + 141*m - 8. Give o(3).
-1
Let v(b) = -558*b**2 + 57*b + 14 + 3 + 567*b**2. Calculate v(-6).
-1
Let v be (2 + (-2 - 3))*(-184)/24. Suppose v + 67 = 15*i. Let u(o) = -o**2 + 8*o + 2. What is u(i)?
14
Let m = 10 + -6. Let x = 16 + 212. Let s(v) = -v + 461*v**2 - 228*v**2 - v**3 - x*v**2. Give s(m).
12
Let m(l) be the first derivative of l**5/40 - 19*l**4/24 - 34*l**3/3 - 18. Let q(x) be the third derivative of m(x). Let u be q(9). Let i(n) = n + 8. Give i(u).
16
Suppose 0 = -25*x + 15 + 60. Let k(b) = -22*b**x + 2*b - 85 + 42 + 42. Give k(1).
-21
Let c be (-23)/(-7) - (-2)/(-7). Let j(b) = b**3 + 0*b - c*b**2 - 2*b + 2 + 4*b - 3*b. Let p be -7*(-9)/105 + (-12)/(-5). Determine j(p).
-1
Let q(n) = 6*n + 32. Let b be -9 + 14 + 2 - 18. Give q(b).
-34
Let y(k) = -33*k**2 - 21*k - 1. Let a(o) = 49*o**2 + 30*o + 1. Let c(n) = 5*a(n) + 7*y(n). What is c(1)?
15
Let n(t) = t**2 + 15*t + 31. Suppose -4*b - 46 = -2*z, -b - 10 = -3*z - 6. Let g be n(b). Let m(x) = 3*x - 7. What is m(g)?
8
Let x(w) = 3*w + 1. Let a(j) = 9*j - 10. Let u(m) = -10*m + 13. Let p(y) = -5*a(y) - 4*u(y). Let l(q) = p(q) + 3*x(q). Give l(1).
5
Let q(p) = -p**2 + 2*p. Let x(k) = -k**2 + 19*k - 2. Let s(j) = j**2 + 3*j. Let o(f) = -4*s(f) + x(f). Let d(n) = o(n) - 6*q(n). Calculate d(-3).
22
Let p(g) = 216*g + 133. Let y(d) = -124*d - 66. Let b(s) = -4*p(s) - 7*y(s). Determine b(16).
-6
Let s(g) = g**2 + 8*g - 14. Let p be 196/(-98) + -4 + (-6)/3. What is s(p)?
-14
Suppose -512*u = 16*u - 1056. Let j(v) be the first derivative of -v**4/12 - v**3/6 + v**2 + v + 1. Let o(c) be the first derivative of j(c). Calculate o(u).
-4
Suppose -7*f - 316 = -10*f + 4*m, 0 = -3*m - 3. Let y(k) = f*k**2 - 208*k**2 + 102*k**2. What is y(-1)?
-2
Let n(m) be the third derivative of -m**6/720 - 7*m**5/120 - 119*m**4/24 - 101*m**2. Let k(v) be the second derivative of n(v). Give k(-11).
4
Let i(r) = -2*r**2 + 15*r + 9. Let u(q) = -q**2 + 14*q + 10. Let m(p) = 2*i(p) - 3*u(p). Suppose 70*v - 2835 = 197*v - 1311. Determine m(v).
-12
Suppose 0 = 7*m + m - 2*m. Let h(z) be the second derivative of 1/2*z**2 + 10*z + 5/6*z**3 + m. Calculate h(1).
6
Let i be 344/(-40) + (-2)/5. Let c = 6 + i. Let n(f) = -f - 7. Let h(w) = 3*w + 29. Let x(r) = h(r) + 4*n(r). Give x(c).
4
Let d(j) = 3*j - 19. Let v(n) = -n + 9. Let m be 2/11 - 230/55. Let p(g) = m*d(g) - 9*v(g). Suppose 39 = 49*l + 235. Give p(l).
7
Let i(s) = s**2 + 68*s + 1. Let a(o) = -o**2 - 100*o + 1. Let m(h) = -2*a(h) - 3*i(h). Calculate m(0).
-5
Suppose -4*q - i + 2 = 0, -335*q + 4*i - 8 = -336*q. Suppose 0 = n - 4*n + 60. Let r(z) = -n - 2*z + z + 0*z. Give r(q).
-20
Let p(f) = -6*f + 455. Let g be p(72). Let o(x) be the third derivative of 2*x**3 + 0*x + 1/120*x**6 + g*x**2 + 0 - 5/12*x**4 - 2/15*x**5. Give o(9).
3
Let d(b) = -2*b**2 + 4*b - 4. Let n = 29 - -16. Let k be (3/9)/(5/n). What is d(k)?
-10
Let q(i) = 5*i + 221. Let z(g) = -6*g - 311. Let v(y) = 3*q(y) + 2*z(y). Give v(-16).
-7
Suppose -2*k + 14 = 2*t, -21 = 17*k - 20*k - t. Let z(x) = 6*x - 41. Calculate z(k).
1
Let t be 8/(-10) - 21/(-15)*7. Let c(a) = -5*a**3 - 7*a**2 + 5*a - 2. Let u(n) = -22*n**3 - 28*n**2 + 20*n - 10. Let w(y) = t*c(y) - 2*u(y). Give w(-8).
26
Suppose 5 = -14*k + 75. Let z(s) = -s**2 + 5*s - 5. Calculate z(k).
-5
Let b(q) = q**3 + 6*q**2 + 6*q - 3. Let r(x) = 4*x**3 - 2*x**2 - 8*x - 2. Let w be r(-2). Let g = w + 44. Suppose -g*o = -20*o - 10. Give b(o).
-8
Let l(x) = x - 6. Let j(r) = -r**2 - 3*r + 9. Let n be j(-4). Let w(k) = -k + 4. Suppose 13*c = 19*c - 48. Let v(z) = c*w(z) + n*l(z). Determine v(2).
-4
Suppose 0 = -11*m - 22. Let d(k) = -25*k**3 - 19*k**2 - 17*k + 54. Let n(c) = -7*c**3 - 6*c**2 - 6*c + 18. Let q(h) = m*d(h) + 7*n(h). Give q(5).
3
Let i(c) = 27*c + 2. Let a be ((-85)/119)/((-10)/70). Determine i(a).
137
Let i(z) = -2*z**2 - 9977 + 4982 - z + 4988. Calculate i(-4).
-35
Let n(j) = -13*j - 12. Suppose -5*a = -4*s - 42, -5*a = -64*s + 68*s - 18. Calculate n(s).
27
Let j be (-42)/(-8) - 6/24. Let y(v) = -j - 2 + 5*v + 2 - 3. Let z be y(3). Let b(u) = -u**3 + 6*u**2 + 6*u + 8. Calculate b(z).
1
Let p(g) = 3*g**3 - 21 + 0*g**3 - 5*g + 21*g + 22*g**2 - 2*g**3 + 6*g. Calculate p(-21).
-42
Let n(h) = -3*h**3 + 3*h**2 - 3*h + 1. Let r(g) = g**3 + 10*g**2 + 0*g**3 + 18*g - 28*g + 9*g - 8. Let d be r(-10). Give n(d).
-17
Let k(j) be the second derivative of -j**3/6 + 25*j**2/2 - 365*j + 2. Give k(7).
18
Let p(u) = 13 + 180*u + 162*u + 177*u - 694*u + 178*u. Determine p(-10).
-17
Let m(i) be the third derivative of -i**4/6 - 9*i**2 - i. Let p be (-3)/((-1)/(-2) - 1). Give m(p).
-24
Let b(m) be the second derivative of -1/20*m**5 + 0 + 11/1
|
{
"pile_set_name": "DM Mathematics"
}
|
exxx. Give prob of sequence xxx.
1/4
Three letters picked without replacement from {t: 1, b: 1, n: 2, i: 3, x: 3}. What is prob of sequence bxi?
1/80
Calculate prob of sequence hhrh when four letters picked without replacement from {h: 3, r: 2}.
1/10
Four letters picked without replacement from {f: 3, j: 17}. What is prob of sequence fjjj?
2/19
Three letters picked without replacement from dxrdcjdvdddrcd. What is prob of sequence ccv?
1/1092
Four letters picked without replacement from {y: 2, z: 5}. Give prob of sequence zyzy.
1/21
Calculate prob of sequence bb when two letters picked without replacement from bvbvvbbbbbbbbbbvbbbv.
21/38
Calculate prob of sequence oww when three letters picked without replacement from {o: 1, w: 16, b: 3}.
2/57
Three letters picked without replacement from {r: 3, h: 11, a: 1, u: 3, w: 1}. What is prob of sequence uaw?
1/1938
Three letters picked without replacement from daaayyy. What is prob of sequence aya?
3/35
Four letters picked without replacement from ssuussuusuususuu. Give prob of sequence uusu.
21/260
What is prob of sequence ecq when three letters picked without replacement from {r: 4, i: 2, c: 2, q: 2, e: 3}?
1/143
Three letters picked without replacement from jwvjjjqjr. What is prob of sequence wvq?
1/504
What is prob of sequence hxss when four letters picked without replacement from {s: 2, h: 1, x: 1, v: 1}?
1/60
Three letters picked without replacement from bbjbjtjjjjbtttbjb. What is prob of sequence jbj?
21/340
What is prob of sequence qnp when three letters picked without replacement from bppbbpqqlbbnpdb?
4/1365
Four letters picked without replacement from {g: 4, y: 2, u: 6, q: 3}. What is prob of sequence yqgu?
2/455
Four letters picked without replacement from aaaa. What is prob of sequence aaaa?
1
Two letters picked without replacement from {w: 1, c: 3}. Give prob of sequence cc.
1/2
Four letters picked without replacement from {c: 1, u: 7}. Give prob of sequence uuuc.
1/8
Two letters picked without replacement from {i: 1, l: 4, z: 4, n: 2}. What is prob of sequence nn?
1/55
Calculate prob of sequence aaa when three letters picked without replacement from {z: 2, a: 6}.
5/14
Three letters picked without replacement from qiishozs. What is prob of sequence ioh?
1/168
What is prob of sequence iuiu when four letters picked without replacement from iluuuuil?
1/70
Two letters picked without replacement from {e: 2, g: 6, u: 10}. Give prob of sequence ge.
2/51
Four letters picked without replacement from acaccvacvcgaegvcccc. Give prob of sequence veae.
0
What is prob of sequence xm when two letters picked without replacement from mxxxmxxxxmm?
14/55
Calculate prob of sequence qqh when three letters picked without replacement from {q: 5, z: 7, h: 8}.
4/171
Calculate prob of sequence nn when two letters picked without replacement from {c: 2, x: 3, n: 3}.
3/28
Calculate prob of sequence bc when two letters picked without replacement from {b: 1, d: 2, c: 4, w: 2}.
1/18
Three letters picked without replacement from wvqvvywvwyq. What is prob of sequence vyy?
4/495
Two letters picked without replacement from vnvfvvmbvmmbvvftb. What is prob of sequence bn?
3/272
What is prob of sequence vv when two letters picked without replacement from {v: 3, u: 1}?
1/2
Four letters picked without replacement from {z: 8, d: 5, v: 5, t: 1}. What is prob of sequence ddzv?
25/2907
Three letters picked without replacement from {y: 1, q: 1, s: 1, h: 1, g: 1}. Give prob of sequence gyh.
1/60
Two letters picked without replacement from oqfoooforrrro. What is prob of sequence rr?
1/13
Calculate prob of sequence evve when four letters picked without replacement from vzrzmmeerrvmmvmmvmm.
1/3876
Two letters picked without replacement from ydddvaydd. Give prob of sequence va.
1/72
What is prob of sequence ii when two letters picked without replacement from eseiissisiei?
5/33
Calculate prob of sequence usu when three letters picked without replacement from {u: 2, s: 4}.
1/15
Calculate prob of sequence mf when two letters picked without replacement from nmrgfng.
1/42
What is prob of sequence xv when two letters picked without replacement from vrxxjdddxrdrddrj?
1/80
Calculate prob of sequence ubub when four letters picked without replacement from {e: 1, b: 4, i: 6, u: 2}.
1/715
Calculate prob of sequence qqzz when four letters picked without replacement from qqzqzz.
1/10
What is prob of sequence ooo when three letters picked without replacement from ooxoxo?
1/5
Calculate prob of sequence asaa when four letters picked without replacement from saaasaassasass.
35/572
Calculate prob of sequence hf when two letters picked without replacement from {f: 1, h: 2, v: 1}.
1/6
Two letters picked without replacement from {a: 1, j: 11, m: 1, o: 2}. Give prob of sequence ma.
1/210
Two letters picked without replacement from igtivgiizgii. What is prob of sequence it?
1/22
Three letters picked without replacement from mmvmmllmmmmvllllvmvm. What is prob of sequence lmm?
3/38
Four letters picked without replacement from tttqttutttttqttgt. What is prob of sequence ttqg?
13/2380
Four letters picked without replacement from kkkkkmmmmmmmmmmmmmm. Give prob of sequence mmmm.
1001/3876
What is prob of sequence emyt when four letters picked without replacement from esetemtjjemeemmetytm?
7/5814
Three letters picked without replacement from {w: 3, u: 1, j: 1, z: 1, i: 1}. Give prob of sequence www.
1/35
Two letters picked without replacement from eeeixiixixeie. Give prob of sequence xi.
5/52
Three letters picked without replacement from dxdcddddd. What is prob of sequence dxd?
1/12
Two letters picked without replacement from {v: 2, o: 4}. What is prob of sequence ov?
4/15
Calculate prob of sequence uru when three letters picked without replacement from ururrrruurruuuuu.
3/20
Two letters picked without replacement from {n: 4, c: 16}. Give prob of sequence nc.
16/95
Calculate prob of sequence aap when three letters picked without replacement from ptpmrmrrrbtttra.
0
What is prob of sequence epep when four letters picked without replacement from peepp?
1/10
Two letters picked without replacement from ptstkyfy. Give prob of sequence fy.
1/28
Calculate prob of sequence hel when three letters picked without replacement from {j: 1, e: 1, h: 2, l: 1, s: 2, p: 1}.
1/168
Four letters picked without replacement from nnnnnnnqhtntqntnv. Give prob of sequence vntq.
1/952
Calculate prob of sequence gqob when four letters picked without replacement from {o: 1, b: 1, g: 7, p: 4, q: 3}.
1/2080
Two letters picked without replacement from {u: 10, o: 1, j: 4, l: 3}. What is prob of sequence uo?
5/153
Calculate prob of sequence pwww when four letters picked without replacement from vvwvwwvpvvvvwppw.
3/728
What is prob of sequence www when three letters picked without replacement from wwww?
1
Two letters picked without replacement from {j: 4, p: 5, y: 2}. What is prob of sequence jp?
2/11
Three letters picked without replacement from {g: 1, a: 1, z: 1, y: 3, o: 1}. Give prob of sequence oay.
1/70
Four letters picked without replacement from fsxxzhzzvzshzxhfsssz. Give prob of sequence zxxz.
1/646
Four letters picked without replacement from tctdz. What is prob of sequence tdcz?
1/60
Two letters picked without replacement from {f: 7, p: 4, m: 3}. What is prob of sequence ff?
3/13
Calculate prob of sequence ndyy when four letters picked without replacement from {n: 1, y: 2, p: 3, d: 1, u: 3}.
1/2520
Three letters picked without replacement from nnmmnnmnt. What is prob of sequence mnt?
5/168
What is prob of sequence gwm when three letters picked without replacement from ggmcjwd?
1/105
Three letters picked without replacement from {e: 5, c: 3, a: 8}. Give prob of sequence eae.
1/21
Two letters picked without replacement from xyixixdxxxizgixxxxi. Give prob of sequence zg.
1/342
Two letters picked without replacement from bcbbabkk. Give prob of sequence ac.
1/56
Two letters picked without replacement from defefqqz. What is prob of sequence ze?
1/28
Calculate prob of sequence lk when two letters picked without replacement from {o: 1, l: 5, n: 4, k: 2, b: 3, p: 5}.
1/38
What is prob of sequence bbb when three letters picked without replacement from {n: 3, k: 1, b: 5, s: 3, q: 3}?
2/91
Calculate p
|
{
"pile_set_name": "DM Mathematics"
}
|
2, 5864, 5914?
5998
What is the next term in 229, 1693, 5667, 13405, 26161, 45189, 71743, 107077?
152445
What is the next term in 7660, 15253, 22848, 30445, 38044?
45645
What is the next term in -50735, -101466, -152185, -202886, -253563, -304210?
-354821
What comes next: 686, 1388, 2090, 2792?
3494
What is the next term in -1346, -5411, -12202, -21731, -34010, -49051, -66866, -87467?
-110866
What comes next: 10639, 10657, 10673, 10687, 10699?
10709
What is next in -522, -150, 222, 594, 966?
1338
What comes next: 17250, 17236, 17200, 17130, 17014, 16840, 16596, 16270?
15850
What is the next term in -272, -525, -748, -941, -1104, -1237?
-1340
What is next in 108704, 108695, 108680, 108659, 108632, 108599, 108560?
108515
What is the next term in -30028, -30156, -30364, -30658, -31044?
-31528
What comes next: -24023, -24053, -24083, -24113, -24143, -24173?
-24203
What is the next term in 58, -1, -124, -341, -682?
-1177
What is the next term in 51, 76, 141, 264, 463, 756, 1161?
1696
What is next in 6166, 12353, 18538, 24721?
30902
What comes next: 11960, 23922, 35884, 47846?
59808
What comes next: 2954, 2945, 2936?
2927
What is the next term in -825, -3317, -7467, -13275?
-20741
What comes next: 1, 77, 181, 307, 449, 601?
757
What comes next: 31490, 63064, 94638, 126212, 157786, 189360?
220934
What is next in -3787, -3749, -3707, -3661, -3611?
-3557
What is the next term in -254, -365, -476, -587, -698?
-809
What is next in -4198, -8398, -12600, -16804, -21010, -25218, -29428?
-33640
What comes next: 436, 932, 1476, 2062, 2684, 3336, 4012?
4706
What is next in -2276, -2307, -2348, -2393, -2436, -2471, -2492?
-2493
What comes next: 2786, 5397, 7824, 10055, 12078, 13881?
15452
What comes next: -91083, -182167, -273251, -364335, -455419, -546503?
-637587
What is the next term in 806071, 806072, 806073, 806074, 806075?
806076
What is the next term in -102, -124, -82, 60, 338, 788, 1446, 2348?
3530
What is the next term in 166, -3, -172, -341?
-510
What comes next: 559, 2244, 5055, 8992?
14055
What comes next: 19591, 19388, 19049, 18574?
17963
What comes next: 807, 1348, 1879, 2394, 2887, 3352, 3783?
4174
What comes next: 56026, 112049, 168068, 224083, 280094, 336101, 392104?
448103
What comes next: 11915, 11917, 11919?
11921
What comes next: 559, 2189, 4913, 8737, 13667, 19709, 26869, 35153?
44567
What comes next: 527, 428, 331, 236, 143, 52, -37?
-124
What comes next: -159715, -159712, -159709, -159706, -159703, -159700?
-159697
What is the next term in -201637, -403272, -604907, -806542, -1008177, -1209812?
-1411447
What is the next term in 157, 321, 485, 649, 813?
977
What is next in 89416, 89420, 89426, 89434, 89444, 89456, 89470?
89486
What is the next term in -988, -1998, -3008, -4018, -5028, -6038?
-7048
What is the next term in 38956, 38952, 38948, 38944?
38940
What is next in -32, -37, -38, -35?
-28
What is the next term in -68, -169, -472, -1079, -2092, -3613, -5744, -8587?
-12244
What is next in 30047, 30071, 30109, 30161, 30227?
30307
What comes next: 1017, 1087, 1277, 1647, 2257, 3167?
4437
What comes next: 272, 1095, 2464, 4379, 6840, 9847, 13400?
17499
What is next in -113, -856, -2099, -3842?
-6085
What is next in -17030, -17024, -17018, -17012, -17006, -17000?
-16994
What is next in 1354, 2678, 4002, 5326, 6650?
7974
What is next in -936, -1911, -2892, -3879, -4872, -5871, -6876?
-7887
What is next in 264765, 529531, 794295, 1059057, 1323817?
1588575
What is next in 98810, 98814, 98820, 98828, 98838, 98850?
98864
What is the next term in -390, -580, -900, -1350?
-1930
What is next in -129121, -129114, -129107, -129100, -129093, -129086?
-129079
What comes next: -2139, -3079, -4031, -5001, -5995, -7019, -8079?
-9181
What is next in -1273, -1565, -1859, -2155?
-2453
What is next in 1512589, 1512581, 1512561, 1512523, 1512461, 1512369?
1512241
What is the next term in -3478, -13871, -31190, -55429, -86582, -124643, -169606?
-221465
What is next in 19004, 37996, 56990, 75986, 94984, 113984?
132986
What comes next: -707, -1419, -2123, -2819, -3507, -4187?
-4859
What comes next: -6415, -12807, -19199, -25603, -32031, -38495, -45007, -51579?
-58223
What is the next term in -2047, -2014, -1959, -1882, -1783?
-1662
What is next in -205, -149, -61, 59, 211, 395, 611?
859
What is next in 351, 821, 1287, 1749, 2207, 2661?
3111
What is the next term in -23, -174, -459, -878?
-1431
What comes next: 1631, 6412, 14381, 25538, 39883?
57416
What is next in 790144, 790141, 790136, 790129?
790120
What is the next term in 3596, 6520, 9454, 12404, 15376, 18376, 21410?
24484
What is the next term in -11, -38, -65, -80, -71, -26, 67, 220?
445
What is next in 19401, 19396, 19389, 19380, 19369, 19356?
19341
What is the next term in 131977, 131976, 131975, 131974, 131973, 131972?
131971
What comes next: -73, -40, -7?
26
What is next in 33, 108, 255, 510, 909, 1488?
2283
What comes next: -29006, -232014, -783020, -1856024, -3625026?
-6264026
What is the next term in -2520, -5345, -8170, -10995, -13820?
-16645
What is next in 2820698, 2820699, 2820700?
2820701
What is the next term in 14910, 14905, 14902, 14901, 14902?
14905
What is next in 65, -10, -553, -1906, -4411, -8410, -14245?
-22258
What comes next: -4475, -9500, -14525?
-19550
What comes next: 1273, 2476, 3679, 4882, 6085?
7288
What is next in -1377, -1371, -1361, -1347, -1329, -1307, -1281?
-1251
What is next in -732, -1159, -1590, -2025, -2464, -2907?
-3354
What comes next: 6124, 6122, 6124, 6130, 6140, 6154?
6172
What is the next term in -23096, -23068, -23030, -22976, -22900, -22796?
-22658
What comes next: 76, 335, 782, 1423, 2264, 3311, 4570?
6047
What comes next: 19622, 78510, 176656, 314060, 490722?
706642
What is next in 720, 1616, 2682, 3918?
5324
What is the next term in 5228, 5221, 5214, 5207?
5200
What is next in 4586528, 4586527, 4586528, 4586531, 4586536, 4586543?
4586552
What comes next: 316, 1059, 2298, 4033, 6264?
8991
What is next in -50, -60, -70, -80, -90?
-100
What is next in 26145, 104557, 235245, 418209, 653449, 940965?
1280757
What is the next term in -147, 57, 259, 459, 657, 853?
1047
What is next in -118, -60, 40, 188, 390, 652, 980?
1380
What is the next term in 45803, 45802, 45801, 45800, 45799, 45798?
45797
What is the next term in -5454, -10925, -16396, -21867, -27338, -32809?
-38280
What is next in -291101, -582204, -873307, -1164410, -1455513, -1746616?
-2037719
What comes next: 427, 1653, 3697, 6559?
10239
What is next in -33774, -33773, -33772, -33771, -33770?
-33769
What comes next: 7193, 7234, 7295, 7370, 7453, 7538, 7619?
7690
What comes next: 251876, 503751, 755626, 1007501?
1259376
What is next in 132929, 132912, 132881, 132830, 132753, 132644, 132497?
132306
What comes next: 1669, 3362, 5055, 6748, 8441, 10134?
11827
What comes next: 144, 371, 758, 1311, 2036, 2939, 4026?
5303
What is the next term in -23924, -23920, -23912, -23900?
-23884
What is the next term in 2202, 2162, 2124, 2088, 2054, 2022, 1992?
1964
What is the next term in -429, -523, -617, -711, -805?
-899
What is next in 147, 241, 501, 1011, 1855?
3117
What is the next term in 9, 20, 35, 60, 101, 164?
255
What is next in 304918, 304920, 304922?
304924
What comes next: 163035, 163034, 163033, 163032?
163031
What comes next: -9345, -18693, -28041, -37389?
-46737
What is the next term in 830, 1709, 2654, 3671, 4766, 5945, 7214, 8579?
10046
What is next in 1403940, 2807878, 4211816, 5615754, 7019692?
8423630
What is next in -827, -865, -903, -941, -979, -1017?
-1055
What is the next term in -40925, -81903, -122879, -163853, -204825, -245795, -286763?
-327729
What is next in -1624, -1620, -1616, -1612, -1608?
-1604
What is next in 17086, 17122, 17158, 17194?
17230
What is next in 589, 1138, 1663, 2152, 2593, 2974, 3283?
3508
What is the next term in 156021, 312040, 468059, 624078, 780097, 936116?
1092135
What comes next: 475, 476, 475, 466, 443, 400, 331?
230
What comes next: -93379, -186748, -280119, -373492, -466867, -560244?
-653623
What is next in 44, 81, 140, 239, 396, 629?
956
What comes next: 511, 974, 1441, 1912, 2387, 2866?
3349
What is next in -36278, -145139, -326574, -580583?
-907166
What comes next: 5442, 21889, 49300, 87675, 137014, 197317, 268584?
350815
What comes next: -1500, -6039,
|
{
"pile_set_name": "DM Mathematics"
}
|
+ 14*s**2 - 14*s + 17. Let g be a(-15). Is 2165807/116 - g/(-8) prime?
True
Let t(o) = 2*o**3 + o**2 + o. Let h be t(0). Suppose h = -2*w + 5 - 1. Suppose -1197 - 1525 = -w*q. Is q prime?
True
Let r be (-3)/6*-228*3. Suppose 804 + r = 6*f. Is f a composite number?
False
Suppose -2*y + 2*p + 2*p = -10, 0 = 5*p. Suppose l + y*k - 8*k - 1206 = 0, -l + 1200 = 3*k. Is l a composite number?
True
Suppose -x + 19 - 25 = 0, -2*m = x - 48032. Is m a composite number?
False
Let x(f) = f**2 + 345*f - 1671. Is x(137) a composite number?
True
Let r(s) = 5*s**3 - 3*s**2 + s - 11. Let q(w) = -w**3 + w + 1. Let o(c) = -2*q(c) + r(c). Let m be o(6). Suppose x = 2*x - m. Is x prime?
False
Let h(d) = 2*d**2 + 52*d + 47. Let l be h(-18). Let a(m) = 872*m. Let k be a(1). Let f = k + l. Is f prime?
True
Let s = 358 - 347. Suppose -s*g + 894 = -5*g. Is g composite?
False
Let q = 8858 + -6128. Suppose -3*v - 5438 = -4*w, 12*w - 14*w + q = 4*v. Is w a prime number?
True
Let b(i) = 3770*i**2 - 2. Let l be b(-1). Suppose -4*o = 3*x - 3775, -4*o = -3*x - o + l. Is x a composite number?
True
Let v = -19686 - -64175. Is v prime?
False
Suppose 10*a = 9*a + 10. Is 134*((-4)/10 + 14/a) a prime number?
False
Let h(y) = -y + 4. Let x(o) = 41*o + 102. Let v(r) = -3*h(r) + x(r). Is v(13) prime?
False
Let y(x) = 419*x**2 + 8*x - 18. Let l be y(-6). Let d = 709 + l. Is d prime?
True
Let o = 129 + -84. Suppose -b + 6426 = 5*b. Suppose 5*u + 4*r = o + 1008, -5*u + 2*r + b = 0. Is u prime?
False
Suppose 2135 = 3*v + 4*f, -v + 15*f - 12*f = -716. Suppose 1800 = 5*h - 5*g, -5*h - 5*g = -3*h - v. Is h a prime number?
True
Suppose 13*n = 18*n - 4*c - 561999, 224800 = 2*n - 2*c. Is n composite?
True
Let p be -1*(-6 + 5)*-1. Let g(z) = -6175*z + 4. Is g(p) prime?
False
Suppose -6*f + 16 = -32. Let g(m) = 10*m**2 + m - 15. Let p be g(f). Is (7 + -8)/((-3)/p) composite?
False
Is (-2)/(-4)*(-2270372)/(-26) a composite number?
False
Let h(n) = -n**3 + 14*n**2 - 12*n - 8. Let v be h(13). Suppose 6*d - 17 + v = 0. Suppose -1088 - 302 = -d*p. Is p prime?
False
Let b(t) = 250*t + 140321. Is b(0) composite?
False
Let n = 71941 + 8602. Is n composite?
True
Is (-198)/(-24) - (-1 + 8) - (-1884375)/4 prime?
False
Let h(t) = -t**3 - 12*t**2 + 10*t + 8. Let b be h(-12). Let k be 2/(-10) - b/35. Suppose j - 820 = -k*j. Is j a composite number?
True
Let s(r) = 36*r + 56. Let i(j) = -19*j - 28. Let y(c) = -9*i(c) - 4*s(c). Let g(o) = o**2 - 3*o + 3. Let a be g(4). Is y(a) composite?
True
Let i be (3 - 248/88) + (-62)/(-22). Suppose -r - 9 = 5*m, 0*m - 16 = i*r + 4*m. Is (6/r)/((-1)/(-6 + 1148)) a prime number?
False
Suppose -12*g + 1 + 11 = 0. Let r(n) = 6195*n - 2. Is r(g) a prime number?
False
Let r = 42560 - 24909. Is r a composite number?
True
Let o(a) = -17112*a - 1561. Is o(-12) a composite number?
True
Suppose -406*q = -408*q + 1434. Suppose -4*j + 287 = -q. Is j prime?
True
Is ((-174798568)/(-98) - -44) + (2/14 - 0) prime?
False
Let p = 44 - 45. Let u be ((-702)/(-8) + p)*4. Suppose 3*s - 5264 = -u. Is s a composite number?
True
Suppose c - 20493 = -2*f, 28*c + 5*f - 102425 = 23*c. Is c prime?
True
Suppose 7*o + 9 = 10*o. Suppose -13 = 2*u + 5*t, 3*u - o*t = t + 15. Is 753 - (-8)/(-4 + 0)*u a composite number?
False
Let x(p) = p**2 + 19*p**3 + 253 - p - 257 + 2*p**2. Is x(3) composite?
True
Let g(z) be the first derivative of 23*z**4/4 - z**3/3 - 3*z**2/2 - 7*z + 48. Is g(4) composite?
True
Let p be (-70)/(-8) - (-60)/48 - 6. Let m(r) = -r**2. Let s(b) = 17*b**3 - 7*b**2 - 3*b + 13. Let j(d) = -2*m(d) + s(d). Is j(p) a composite number?
False
Suppose -5*n + 0*n = -10. Let j be (-1 - -2)/(n/(-258)). Let x = 240 + j. Is x prime?
False
Let m(l) = 1923*l**3 - l**2 + 8*l - 21. Let i be m(2). Is i + 2 + 1 + -7 a prime number?
False
Let o(m) = 313*m + 2825. Is o(92) a composite number?
True
Suppose 6777843 = -46739*c + 46742*c. Is c prime?
True
Let d(n) = -39 - 33 + n + 74. Let y be d(-1). Is -1 + y - (-1660 - (-3 + 0)) composite?
False
Let a(u) = u**2 + 8*u + 1. Let v be a(-8). Let y be -3*2/18*-15*v. Suppose 4*m + 4*o + 57 = y*m, o = 4*m - 213. Is m a composite number?
False
Let i be (-14)/4*(-4)/(-7). Let q be i + (-5 + 1 - 4798). Is (3/(-6))/(2/q) prime?
True
Let d = -98339 - -284716. Is d prime?
True
Suppose 0*p + 18*p = 24948. Let i = p - -71. Is i a prime number?
False
Suppose 3054*j - 3033*j - 3619749 = 0. Is j prime?
False
Suppose -121*i + 182 = -114*i. Is (-4 - (-5)/(40/i))*-2276 prime?
False
Let m be ((-126)/(-147))/((-2)/(-7)). Let l(n) = 64*n**3 - 5*n + 4. Is l(m) a prime number?
False
Let w(h) = h**3 + 20*h**2 - 85*h - 75. Is w(-19) a composite number?
False
Suppose 0 = -283*x - 1254245 + 174539956. Is x a composite number?
False
Let o(g) = g**2 + g + 47. Suppose -3*r - 168 = -10*r. Is o(r) composite?
False
Suppose -14*a + 15 = -11*a. Let o = -91 - -169. Suppose a*y = -3 + o. Is y a prime number?
False
Let s(q) = 397*q**2 + 20*q + 28. Let j be s(-6). Let c = j + -6383. Is c a composite number?
False
Let y(g) = g**3 + 6*g**2 + 3*g - 6. Let t be y(-5). Suppose 4*w - z - 2 = 17, -t*w + 4*z = -28. Suppose -m + 4 = 2, -w*m - 3258 = -2*c. Is c prime?
False
Let y(h) = h**3 + 156*h**2 - 228*h + 104. Is y(-57) prime?
True
Suppose -89*r + 2050 = -99*r. Let j(o) = -o + 6. Let m be j(6). Is -2 + r/(-1) + (m - 1) a prime number?
False
Let a(b) = b**2 + 18*b + 38. Suppose 3*q = 3*o + 2*o + 86, 12 = -o - 2*q. Let p be a(o). Suppose -2016 = -3*l + 3*y, -5*l = -p*l - 2*y + 663. Is l composite?
True
Let m(r) = 12*r**3 - 3*r**2 + 12*r + 30. Let p(l) = -l**3 - l**2 - l. Let w(o) = m(o) + 4*p(o). Is w(7) composite?
True
Let w be (160/(-15))/8 - (-41809)/3. Let r = w - 8198. Is r a composite number?
False
Suppose -3391 = -6*t + 29. Suppose -t = -n - 2097. Let p = -706 - n. Is p a composite number?
False
Suppose 31*m + 162 = -6*f + 36*m, -5*f = m + 135. Is ((-192369)/f - 7) + (-4)/(-18) prime?
False
Let l(u) = 224*u - 19. Let q be l(3). Let y be q - -3 - (3 + -2). Suppose -y = -6*w + 1877. Is w prime?
False
Let x = -2466 + -1851. Let t = -1822 - x. Is t a composite number?
True
Suppose 3*y + 4382 + 13889 = 2*k, y = 3. Let l = 23382 - k. Is l a prime number?
False
Let f = -77317 - 17285. Let j = 137107 + f. Is j a prime number?
False
Let k(b) = -b**2 + 12*b - 11. Let c be k(4). Is (-47390)/(-15)*c/14 composite?
True
Suppose 4*c = -4*n + 24, c + 1 + 5 = 3*n. Let t be (24/5)/(n/(-150)). Let v = 451 + t. Is v a composite number?
False
Let t be (-76)/(1 + -5) + (2 - 0). Let j be 10/3 - (3 - 56/t). Suppose 0 = 4*r - j*r - 3155. Is r a composite number?
True
Is (-28 - -18 - -13) + 67444 a composite number?
False
Suppose -24*f = -3*f - 231. Let r(j) = 5*j - 2*j**2 + 45*j**3 - 44*j**3 + 0 - 3. Is r(f) composite?
True
Let s(x) = 20*x + 92. Let v be s(-5). Let h(n) = 25*n**2 + 14*n + 29. Is h(v) prime?
False
Let l = 69 + -54. Suppose -7*k + l*k = -1536. Let n = k - -403. Is n a composite number?
False
Let o = 431 - 252. Let v = 246 - o. Is v prime?
True
Let l(n) = n**3 - 4*n**2 - 5*n + 2. Let d be l(5). Suppose -d*s = -4004 + 1194. Is s prime?
False
Suppose -d = 4*z + 21, -7*d + 3*z + 2 = -5*d. Let j be -4614*((-16)/(-40) + 7/d). Suppose -2*o - h = -3083, -3*o = -h + 6*h - j. Is o a prime number?
True
Let f = 251747 + -148780. Is f composite?
False
Let z(w) = 2866*w**2 + 10*w + 2. Let c be z(-4). Suppose -10855 = -27*s + c. Is s a prime number?
True
Let v = -5471 + 36948. Let n = v - 21446. Is n a prime number?
False
Suppose 0*b + 5*b + 4*x = 654041, 5*b - 654021 = x. Is b composite?
True
Let v(z) = -2*z**2 - 10*z - 3. Let p be v(-3). Suppose p*r - 7681 = 3425. Is r a composite number?
True
Suppose -107*q + 104*q = -14466. Suppose 6*a - q = 7016. Is a prime?
True
Is (7 - (-6)/(-1))/(5/59965) a composite number?
True
Suppose 0 = 2*i - 0*i + u + 5, -15 = -4*i + 3*u. Suppose 239*q - 240*q + 3251 = i. Is q a composite number?
False
Suppose 223*z - 663529 = -256331. Let r(l) = 16*l - 3. Let x be r(6). Let q = z - x. Is q a composite number?
False
Suppose -37 - 19 = -7*h. Suppose 0 = 4*n + h, z + 2*n = 5*z - 952. Suppose o + 4*s - 211 = 0, 0 = 4*o - 2*s - 1045 + z. Is o composite?
True
Let n = -37 - -47. Suppose n = 9*h - 17. Is 314 - (h + 3 + -6) composite?
True
Let t(c) = -37*c - 74. Let p be t(-19). Suppose -3*j + 364 = -p.
|
{
"pile_set_name": "DM Mathematics"
}
|
+ 112.8. Let i = -2.9 - s. Let y = i - 7. What is the biggest value in -0.4, y, 0?
y
Let f = 38 + -43. Let z = -1.1 - -0.1. Let h = z + 5. What is the biggest value in f, h, -0.3?
h
Let m = 156 - 163.3. Let l = m - -7. Which is the third biggest value? (a) l (b) 4/5 (c) 1/3
a
Suppose 0 = -3*n + 15, 3*n = -4*c + 2*c - 135. Let o be 1/(-2 - c/39). What is the third smallest value in -4, o, -1/2?
-1/2
Let y = -0.05 + 0. Let v = y - 0.25. Let c = 1 - 1. What is the biggest value in c, v, -4?
c
Let c = 31 - 30. Let w = 0.07 - -0.43. What is the smallest value in c, -4/5, w?
-4/5
Suppose -u - 8 = u. Let l = -41 + -147. Let o = l - -1313/7. Which is the third smallest value? (a) o (b) 4 (c) u
b
Let u = 66 + -67. Which is the third smallest value? (a) 3/4 (b) 2/23 (c) 0.5 (d) u
c
Let v = 0.55 + -0.65. Which is the second biggest value? (a) -3 (b) 0.5 (c) v (d) 5/4
b
Suppose 6 = 4*l - 2. Let k = -0.45 - -0.75. Which is the second smallest value? (a) 3/4 (b) l (c) k
a
Suppose 0 = -y - 2*y. Let z = -2 + y. What is the second biggest value in -0.2, z, 2?
-0.2
Let h = -80 + 83.3. Let g = h + -0.3. Let j = g - 4. Which is the third biggest value? (a) 3/7 (b) j (c) 0.1
b
Let o = -0.25 + 0.05. Let z = 0.1 + 0.2. Let t(g) = 2*g**2 + 9*g - 4. Let r be t(-5). Which is the biggest value? (a) z (b) r (c) o
b
Let p = -3.04 - -0.04. Let g = p + 1. Let o = -47/3 - -16. Which is the third smallest value? (a) g (b) 0 (c) o
c
Let u be 3 - (-1 - (-2 - -2)). Let i be (-1)/2 + u/12. What is the biggest value in 4, i, -1?
4
Let q = 4 + -3.9. Let f = 0.15 + -0.85. Which is the second smallest value? (a) f (b) q (c) 4
b
Let t = 6.97 + -7. Let l = t - -1.03. What is the second smallest value in 1/4, -0.4, l?
1/4
Let h = -15 + 14.6. Let l = -5 - -4.7. What is the biggest value in h, 0.5, l?
0.5
Let d be 1/2 + 1554/(-1860). Let i = -2/31 + d. Which is the biggest value? (a) 3/2 (b) -4 (c) i
a
Let o be ((-3)/(-38))/(6/8). Let w = -22.3 + 22. Which is the smallest value? (a) 2 (b) o (c) w
c
Let x = 0.21 - 0.21. Let d = 0.4 - 0.5. What is the third biggest value in x, -0.04, d?
d
Let z = -0.499 - -0.399. Let f = -1527/11 - -139. Which is the biggest value? (a) f (b) z (c) 2/17
a
Let x = 13/14 + -3/7. What is the third biggest value in x, -0.2, -0.4?
-0.4
Let l(n) = -2*n + 4. Let w be l(2). Let t = -1 - -5. Let q be (-6)/30 + t/(-5). Which is the biggest value? (a) q (b) w (c) -2/13
b
Let d = 3 + 20. Let n be -2 + 4 + (-40)/d. Let s = n - -4/161. Which is the second smallest value? (a) -3/5 (b) 1 (c) s
c
Let f = 12 - 11.93. Which is the second smallest value? (a) 2 (b) -5/2 (c) f
c
Let v = -0.5 - -1.5. Let y be -3 + 0 - 0/(-3). What is the biggest value in 1/6, y, v?
v
Suppose -1 = x + 2*m + 5, -3*x - 4*m = 16. What is the third smallest value in 1, -2/5, x?
1
Let v(p) = p**2 - 12*p + 10. Let w be v(8). Let r be (-3 + (-74)/w)/(-2). What is the second biggest value in -1, 1, r?
r
Suppose 0*s = -4*s - i - 1, 3*s - 4*i - 4 = 0. Let d = s + 2. Which is the smallest value? (a) d (b) 1 (c) -8
c
Let i = 15 + -10. Which is the third smallest value? (a) 0.5 (b) -1/10 (c) i (d) -5
a
Let s = -0.26 - -0.06. Let i = 1 - -3. Suppose 5*f - 2 = 2*q, 0 = i*f + f + 2*q + 2. Which is the smallest value? (a) 4 (b) s (c) f
b
Let j = 1.9 + -0.9. Which is the third smallest value? (a) -5 (b) j (c) -0.2
b
Let q be 49/(-70) + (-2)/(-10). What is the second smallest value in q, 0.5, 0?
0
Let y = -5 + 23/5. What is the biggest value in -1, 2, y?
2
Suppose -2*o + 3*n - 13 = 0, -4*n + 0 = 5*o - 2. Let q = 404.07 + -401. Let t = -0.07 + q. What is the third biggest value in o, -0.1, t?
o
Let h = 7 + -7.3. Let j be (3/(-3) - -1)/(-2). What is the third biggest value in 3, j, h?
h
Let p = 9 + -8. Which is the third biggest value? (a) 2 (b) p (c) -4
c
Let k be ((-20)/40)/((-1)/(-2)). Which is the biggest value? (a) 2 (b) k (c) 0
a
Let l = -15 + 19. What is the second biggest value in 0.07, -0.2, l?
0.07
Let j = -90 + 89.6. Which is the third biggest value? (a) j (b) 4 (c) 5
a
Let s = 28.5 + -28. What is the third smallest value in -5, s, -4?
s
Let p be 3/(-12) - 6/(-56). Let w(k) = k + 9. Let i be w(-9). What is the second biggest value in i, 3, p?
i
Let f = 5/27 - 79/135. Which is the smallest value? (a) -0.5 (b) -12 (c) -0.2 (d) f
b
Let x = -145.5 - -146. Let h = 10 - 15. Which is the second smallest value? (a) -0.5 (b) x (c) h
a
Let o = -0.862 + -0.138. Which is the smallest value? (a) 41 (b) -4 (c) o
b
Let n be 5/12 + 2/8. Let l(k) = k - 4. Let g be l(3). Let w be g/2*2 - -3. Which is the third smallest value? (a) n (b) -0.1 (c) w
c
Let s = 1 + -0.8. Let a(r) = -r**2 - 11*r + 9. Let g be a(-12). What is the second biggest value in s, -0.4, g?
-0.4
Let n = 0.1 - -0.9. Let g = 2.6 + -6.6. Let f be (-2)/(-8) + (-2)/24. Which is the second biggest value? (a) n (b) f (c) g
b
Let u = -3 - -6. Suppose u*w - 7*w + 8 = 4*m, -22 = -5*w + m. Let d be 4/22 - 21/77. Which is the third biggest value? (a) d (b) 1 (c) w
a
Let b = 0.5 + -0.8. Let k = -1 + 1.4. Let x = k + b. What is the third biggest value in x, -1, 4?
-1
Let k = 44 - 44. Let x(v) = -v**3 - 3*v**2 - 2*v + 2. Let z be x(-2). Suppose k = -0*u - z*u - 4. Which is the smallest value? (a) -2/13 (b) u (c) -0.3
b
Let p = 0.3 + -0.2. Let k = -2.21 - -1.71. What is the biggest value in k, 3, p?
3
Let q = -15 - -15.05. What is the smallest value in q, -0.3, -4?
-4
Suppose -2*q - 3*q + 17 = 4*v, 2*q - 3*v - 16 = 0. Let j be (-1)/q - 17/(-35). Which is the third biggest value? (a) -0.2 (b) 1 (c) j
a
Suppose 3*m + 0 = 4*z - 1, -5*z - 3*m = -35. What is the third biggest value in -0.3, z, 0.3?
-0.3
Let s = -137/189 - -17/27. Suppose -4*l + 1 - 9 = 0, -5*q + 16 = 2*l. Let g be q/10 + 18/(-18). What is the third biggest value in -1, g, s?
-1
Let n = 2.07 - 2.2. Let m = n + -0.37. Which is the second smallest value? (a) -4 (b) m (c) 1
b
Let u = -5 - -5.4. Let h = 0.5 + 0.3. Let c = h + -0.5. What is the second biggest value in c, 0.1, u?
c
Let o be ((-11)/(-3))/(2/(-12)). Let z = o - -65/3. Let d be (-15)/(-10)*2/6. What is the third smallest value in d, z, -0.2?
d
Let d = -2 - 1. Let q = d + 3.1. Suppose 14*l + 2 = 16*l. Which is the smallest value? (a) l (b) q (c) -1/4
c
Let v be 6 - -3*10/(-15). What is the third smallest value in 5, -2, v, 0.2?
v
Let z = -1.313 + 0.313. Let q = -2 + 2. Let y = 129 + -391/3. Which is the second biggest value? (a) z (b) q (c) y
a
Let f = -3.3 + 3.3. Which is the biggest value? (a) f (b) -3 (c) 0.5
c
Let q = 0.39 + -0.59. Let h = -1 - -1.1. What is the third biggest value in q, -5, h?
-5
Let y = -10 + 5. Let h = -0.06 - 1.94. Let g = h + 3. What is the third biggest value in 1/2, y, g?
y
Let w = 23 - 17. Let i = w + -9. What is the second smallest value in 1, -0.5, i?
-0.5
Let s be ((-84)/9)/(-4) - 3. What is the biggest value in -1/2, 0.1, s?
0.1
Let j = 37 - 23. Let r = j + -15. What is the third smallest value in -3, r, -0.3?
-0.3
Let n = 11 - 11. What is the biggest value in n, -0.2, -2?
n
Let t be (-2)/(-4) + 5/10. What is the third biggest value in t, 2/9, -0.2, 2?
2/9
Suppose 0*n + 4*n - 2*n = 0. Which is the third biggest value? (a) n (b) -0.09 (c) -0.4
c
Let y = -100 + 99.8. Let v = 1.3 - 0.3. What is the third biggest value in y, 0.3, v?
y
Let j = -2/45 + 32/45. Let d = 109/24 + -14/3. Which is the third biggest value? (a) j (b) d (c) 3
b
Let l = -1.96 + -0.04. Let d = -1 - l. Let x(j) = -j**3 + 2*j**2 - 3*j + 15. Let w be x(3). What is the smallest value in w, -5, d?
-5
Let v be 0 + (-3)/(18/(-4)). Let u = -0.18 + 0.29. Let h = -0.01 + u. What is the third biggest value in h, 5, v?
h
Let u = 6.3 - 7. Let o = u - -2.7. Which is the second smallest value? (a) o (b) -1/13 (c) -5
b
Let z be (3/153)/((-6)/18). Which is the fourth biggest value? (a) z (b) 4 (c) 0 (d) -0.5
d
Let x = 0.05 - 2.05. Let d = x - -1. What is the third biggest value in 0, -0.1, d?
d
Suppose 5*k = -5*u, -k - 2 = -2*u + 10. Suppose -12 = -u*c - 28. Let d = -174/77 - -28/11. What is the biggest value in 0.5, c, d?
0.5
Let r be (28/(-35))/(18/(-15)). Let w = -0.9 - -0.6. Which is the third smallest value? (a) r (b) 2/9 (c) w
a
Let u = -14.7
|
{
"pile_set_name": "DM Mathematics"
}
|
olve 5*h - 161 = -o, 3*h - 3*o - 267005 = -266894 for h.
33
Solve 0 = 5*l + 311253*w - 311250*w + 117, 5*l + 36*w + 249 = 0 for l.
-21
Solve 56*w + 2*t = 59*w - 16, 2 + 1 = 3*t for w.
6
Solve j - 3*u = -j + 104, 5*j - 4*u - 25021 = -24880 for j.
1
Solve -2*h - 4*c + 3 = -7*c - 2, -86 + 1 = 3*h - 23*c for h.
10
Solve 81*r - 71*r + 4*q + 42 = 0, -3*r + 40 = 4*q + 89 for r.
1
Solve u - 62 - 95 = -3*n, -37*n - u + 1959 = 0 for n.
53
Solve 5*i - 1152 = 128*m, 20*m - 40*m = -5*i - 17*m + 27 for i.
0
Solve -10*p + 6*h = 23*p + 4*p + 358, p - 5*p - 50 = -0*p + 5*h for p.
-10
Solve 36*r - o + 75 = 20*r, 7*r - 5*o = -10 for r.
-5
Solve -8*p + 25*p - 2*n = 41, -2*n + 13*n - 93 = p - 41 for p.
3
Solve -25*d + 3*o = -17*d + 377, 513*d = 516*d + 5*o + 123 for d.
-46
Solve 4*u + 4 = 3*g, -u + 3*g + 6442 - 6434 = 0 for u.
-4
Solve s = 3, 4*a - 8*a + 4*s - 30 = -52 + 46 for a.
-3
Solve -2*w + 5 = 4*x - 61, 3*x = 4*x + 3*w - 9 for x.
18
Solve -3*p - 23 = -2*q, -3122 = -4*p + 5*q - 3162 for p.
-5
Solve -28*r + 2*x + 150 = 0, r - 3*x - 858 = -838 for r.
5
Solve 10*m + j - 27 - 11 = 3*j, -2*j = 10*j - 12 for m.
4
Solve -3*k - 12*n + 14 = 3*k - 8*n, 0 = -4*k + 3*n + 15 for k.
3
Solve -36 = -2*x + 8*c - c + 11*c, -12 = -x + 3*c for x.
9
Solve -18*k - 19 + 39 = -17*k - 2*i, -2*k = -5*i - 45 for k.
10
Solve -4*j = 2*f - 24, 121 = 5*j - 2785*f + 2794*f for j.
-1
Solve 3*c + 0*n + 2*n - 4*n - 24 = 0, 141948*c - 3*n = 141951*c - 2*n - 33 for c.
10
Solve 1 = -b - 3*f, -4*f + 9 = 30 - 29 for b.
-7
Solve -5*k = -3*g + 25, -46*k + 28*k = -19*k + 2*g + 2 - 0 for k.
-8
Solve -2*v - 2*r = -21 - 5, 3*r = 77*v - 96*v + 167 for v.
8
Solve 47 = 5*k + 2*n + 10, -124*k = -127*k + 38*n - 801 for k.
-1
Solve -5*g = 92*r + 353, -26*r - 3*r - 2*g = -24*r + 14 for r.
-4
Solve 6*u = -23*c + 95, 0*u - u - 37 = -0*u - 3*c - 46 for u.
12
Solve h = -0*h - 16*j - 25 - 17, -4*j = -18*h + 13*h + 42 for h.
6
Solve -1242*p + 1240*p = 4*w - 56, 5*p = 4*w + 140 for p.
28
Solve -9*y - 41 = -4*v, -433*v - 433*v + 1730*v - 431*v - 430*v = 2*y + 26 for v.
8
Solve 0 = -15*w - 1529 + 1559, -10 = -3*v - 2*w for v.
2
Solve -p - 5*f + 440 + 614 = 900, 5*p - 4*f = -129 for p.
-1
Solve -4*i + 3*k + 251 = 23, 0 = -2*i + 6*k - 13*k + 80 for i.
54
Solve 3*n - 5*l = -4, 2838*l = -2*n + 2843*l - 6 for n.
2
Solve 4*c + 92 = -7*x + 11*x + 32, -3*c - 2*x + 35 = 0 for c.
1
Solve 5*y - 5*t + 0*t = 254266 - 254281, 3*y - 3*t + 4*t - 11 = 0 for y.
2
Solve 19 = -3*o + 3*y - 7*y - 28, 2*o - 3*y = 148110 - 148079 for o.
-1
Solve -2*d + 24 = -2*a, 2*d + 2*a = -172*a - 1208 for d.
5
Solve 3*j - 3*a = 2*j - 57, 8*a + 184 = j + 331 for j.
-3
Solve s = -4*v + 151, -102*s - 97*s + 194*s + 89 = 2*v for v.
37
Solve 0 = 4*m + 5*l + 204, -23437*l = 30*m - 23432*l + 31 + 69 for m.
4
Solve -3*p + 60 = -3*s + 120 + 81, -3*p - 1001 = -23*s for p.
-4
Solve 0 = 18*z + 17*q - 12*q + 13, -4*z + 0*q - 4*q = 0 for z.
-1
Solve 13*q + 52 = 16*q + s - 6, 5*s = 12*q - 277 for q.
21
Solve 2*g - g = 3*p - 17, 313*p - 154 = 288*p - 4*g for p.
6
Solve -2*d + 2*j - 1595 = -1641, 2*d + 2*j - 58 = 0 for d.
26
Solve -2*o = h + 15, -h = 962*o + 958*o - 1921*o for o.
-5
Solve 510 = 4*h - 18*n + 109*n + 1780 + 926, -5*h - 3*n = 87 for h.
-3
Solve 0 = 5*p - 95*s + 97*s + 22, 3 - 5 = 2*s for p.
-4
Solve 0 = -11*x - 5*h - 37, -h + 29 - 41 = -5*x - 19 for x.
-2
Solve 0 = -11*j - 2*c + 66, 5*c - 50 = 2*j + 56 for j.
2
Solve 452*l - 5*c - 195 = 450*l, c + 27 = -2*l for l.
5
Solve -111*f = -116*f + 5*y - 40, -79*f - 4*y = 466 for f.
-6
Solve 3*b = m - 4*m - 3, -14*b + 13*b = 2*m - 653 + 652 for b.
-3
Solve 35 = -5*k - 5*j, -2*j + 6*j - 49 - 43 = 26*k - 0*j for k.
-4
Solve -7*y - 96 = 2*h, 195*h = 198*h + 102 for y.
-4
Solve 3*p = -3*s - 10 - 2, 3*s = 2*p + 105 - 82 for s.
3
Solve 139*i - 6 = l + 140*i, -2*l - 19 = 4*i + 15 for l.
5
Solve 3*l + 120 = -3*x, 7528*l - 7527*l + 22 = 5*x for l.
-37
Solve 0 = -3*d + 18078*u - 18106*u + 27, 3*d = -12*u - 21 for d.
-19
Solve -5*s = a + 30, -a - 142 = 29*s - 208 for s.
4
Solve -j - 123 = 4*y, -60107*y + 60103*y = -5*j + 105 for j.
-3
Solve d + 4*s + 382 = 332, -5*d + 51*s + 673 = 0 for d.
2
Solve 2*x + 5 = -5*q, 2*x = 2413*q - 2416*q - 7 for x.
-5
Solve 21*a = -3*c + 51, 2494670*a + 32 = -5*c + 2494674*a for c.
-4
Solve 4*x - 25 = -5*h, 1669*x + h - 5 = 1672*x for x.
0
Solve 0 = -15*c - 2*t - 14, -189*c - t + 43 = -194*c for c.
-4
Solve -2*g = -16*j + 37*j - 30*j + 83, 0 = -5*j + 3*g + 82 for j.
5
Solve 30*m = -2*a + 8*m - 20*m + 28, 4*a - 2*m - 11 = 45 for a.
14
Solve -4*z - 3*a = -24338 + 24221, z + 3*a = 18 for z.
33
Solve 2*o = -2*a - 66, 4*o - 700261 = 4*a - 700361 for a.
-4
Solve -24*z - 3*i + 2*i + 18 = -11, i + 21 - 1 = 5*i for z.
1
Solve r + 11 = 61*a - 53*a, -3*a - 2*r - 41 = 0 for a.
-1
Solve -w - 119*m = 124*m - 244*m - 3, 4*w - 3 = 5*m + 8 for w.
4
Solve i + 5*k + 38 = -2*i, -k - 662 = 3*i - 640 for i.
-6
Solve 5*r + 20230*k = 20232*k - 38 - 102, -5*k - 112 = 4*r for r.
-28
Solve -5*z + o - 26 = 0, 4*z - 17*o + 269513 = 269476 for z.
-5
Solve 120*c = 77*c + 3*a + 34, -3*c = -3*c + 3*a - 9 for c.
1
Solve -4*a - 462 = 2*c - 420, -c = 56*a + 21 for c.
-21
Solve 36*p + 15*f = 12*f - 160 - 68, -103*p = -106*p - f - 22 for p.
-6
Solve -4*z - 48 = 4*y, 2*y + 9 = 7017*z - 7016*z for z.
-5
Solve -4*s = 3*t + s - 65, t - 27594 = 9*s - 27551 for t.
25
Solve 2*g + 43*r = 44*r - 6, 0 = 5*r for g.
-3
Solve 3*s - 5 = -c - 1, -c + 215 + 19 = -49*s + 22 for c.
16
Solve 56*l - 28 = 52*l, 35*j - 29*j - 29 = -0*l + l for j.
6
Solve -8*o + 2*n + 23 = -73, 2901*o = 2896*o + 4*n + 60 for o.
12
Solve 953*f + 2*z - 20 = 954*f, 10 + 14 = 3*f + z for f.
4
Solve 37 = u - 5*a, -8448 = -4*u - 5*a - 8325 for u.
32
Solve -3*u - c + 2 = 0, -2*c = -2*u - 762641 + 762637 for u.
0
Solve 3*x + 5 = -2*h, -h = 165718*x - 165722*x - 14 for h.
2
Solve 1345*t = 5*g + 1353*t - 133, -3*g - 10 = -2*t - 83 for g.
25
Solve 2*w + 3*p + 49 = 6*w, 7*p - 26 = -5*w - 277 + 65 for w.
-5
Solve -21 = -a + 2*a + 2*u, -6*a + 6*u - 28 = 4*u - 42 for a.
-1
Solve -2*t - 26 = -122*i + 120*i, 27*i = 4*t - 2*t - 49 for t.
-16
Solve -4*f - 55 = -s, -32*f - 5*s - 115 = 286 for f.
-13
Solve 17*c = 26*c - 13*c - u, 19*u + 1 = -4*u + 3 - 2 for c.
0
Solve -14577952*d = -14577947*d + 2*k + 265, -5*d + 4*k = 265 for d.
-53
Solve -818*v + 3 = -815*v, 3*x + v + 5 = -6 for x.
-4
Solve -20*n - 20 = -2*z, -749*z + 5*n + 2 = -751*z - 28 for z.
-10
Solve -3 = -3*o + 4*l, -157*l + 160*l = 4*o + 3 for o.
-3
Solve 28*q = -3*v - 32*q + 64*q - 7, -12*v - 3*q = -48 for v.
3
Solve -5*v - 84 - 130 = 4*c, -117*c + 59*c - 5*v - 207 = -61*c for c.
-1
Solve 4*r = 2*w + 20, 7*r - 4*w - 100 = -281 + 115 + 102 for r.
4
Solve -4*s = -9*s - 10*s + 825, 97*f - 92*f + 2*s - 61 = 44 for f.
-1
Solve -5*k - 15 = -2*t, t - 1027 = -1017 for k.
1
Solve -3*r - 19*i = -92, -2*r + 19*i + 4 + 0 - 1 = 20*i for r.
-1
Solve -20*z = 4*x - 4192 + 4260, -5*x - z - 13 = 0 for x.
-2
Solve 0 = 5*t - 312*c + 315*c - 17, 75 - 38 = 2*t - 188*c - 159 for t.
4
Solve -b = -2821*d + 2817*d + 66, -5*d - 4*b - 8*b + 109 = 0 for d.
17
Solve -7284*f + 7283*f = -0*q + 5*q, 0 = q - 6*f - 31 for q.
1
Solve 3*c - 42 = 18*m, 8779*c - 8778*c + 6 = -0*m + m for m.
-4
Solve -101460*x = -101456*x - 4*u - 44, 5*x + 3*u = 23 for x.
7
Solve 66 = 4*p - 13*p - 2*r, 4*r - 33 = 6*p + 9*r for p.
-8
Solve u = 3*u + 10*n - 58, 4544 - 4593 = -5*u - n for u.
9
Solve 0 = z + 3, 4*k + 25*z = -21*z + 73*z - 23*z + 36 for k.
6
Solve -5*g + 8*k = 211, -3*g + 206*k = 204*k + 135 for g.
-47
Solve -930 + 469 + 481 = -s + 2*z + z, -2*z + 10 = 0 for s.
-5
Solve -a + 61 - 58 = -3*b, -2*a - 13 + 16 = -9*b for a.
6
Solve 0 = 2*p - 5*o - 67680 + 67673, 5*o = 5*p - 55 for p.
16
Solve 18689*y - 9 = 18687*y - 0*n + n, -4*y - 5*n + 25 = 0 for y.
5
Solve 0 = 15*t, t + 59 - 23 = -4*y + 16 for y.
-5
Solve 5*b + 21102 - 21072 = 2*u, 26 = -3*b + 2*u for b.
-2
Solve -1 + 0 = v, 5*v + 50 = -9484*b + 9489*b for b.
9
Solve -5*p = 2*a + 59, -9*p + 12*p + 71*a + 32 = 140*a - 70*a for p.
-5
Solve -9539*o = -7*m - 9536*o + 12, 20*m = -3*o - 93 for m.
-3
Solve -3*g = -a + 6*a + 39*g + 225, 15*a + 4*g + 86 - 21 = 0 for a.
-3
Solve -3*t - 2265*i + 2268*i + 69 = 0, -i + 15 - 13 = 0 for t.
25
Solve 0*j + 3*j - 48 = -3*l, -346*l - 63*j + 461 = -341*l + 149 for l.
12
Solve -3*f + 11 + 63 = -
|
{
"pile_set_name": "DM Mathematics"
}
|
econd derivative of 21858*y**5 - 11*y**4 + 2*y**3 - 6484459*y - 2 wrt y?
437160*y**3 - 132*y**2 + 12*y
What is the first derivative of 65457*c*j + 118*c - 7274460*j wrt c?
65457*j + 118
Find the second derivative of -311369759*p**2*w - 4627251*p*w - p wrt p.
-622739518*w
What is the second derivative of k**3 + 2783832*k**2 - 298075*k - 3?
6*k + 5567664
What is the second derivative of -15509630*b**3 - 5*b**2 - 20265376*b?
-93057780*b - 10
What is the third derivative of 111018*f**4 + 886*f**3 + 2*f**2 + f - 2281124 wrt f?
2664432*f + 5316
Find the third derivative of 6*j*o**4 + 2*j*o**3 + 2*j*o**2 + j - 28*o**4 - 13*o**3 - 23490*o**2 - 5 wrt o.
144*j*o + 12*j - 672*o - 78
What is the second derivative of -343163*g*m**3*t**2 - 225*g*m**3*t + g*m**3 + 240*g*m*t**2 - 2*g*m*t + 2*g + 5*m**3*t - 2*m*t - 395*t wrt t?
-686326*g*m**3 + 480*g*m
What is the second derivative of -2*c*v**3 + 293615*c*v - 4*c + 10215568*v**3 wrt v?
-12*c*v + 61293408*v
Find the second derivative of -217*z**3 - 24699*z**2 - 10451763*z.
-1302*z - 49398
Find the second derivative of 179985166*q**3 + 293305489*q.
1079910996*q
What is the first derivative of -1183717*p**4 - 35*p**3 + 17249811 wrt p?
-4734868*p**3 - 105*p**2
Differentiate 6306*g**3*n**2 + 18631065*g**3*y + 6*g**3 - 8*g**2*n**2 - g*n**2 - n**2*y with respect to y.
18631065*g**3 - n**2
Find the first derivative of -5468093*x + 238195213.
-5468093
Find the first derivative of -280143596*x + 276722115 wrt x.
-280143596
What is the first derivative of -123156012*h + 193714807 wrt h?
-123156012
Find the second derivative of -3*f**3 + 8445370*f**2 + 925276839*f.
-18*f + 16890740
What is the third derivative of 2229602*f**4 - 121698*f**2 + 9*f wrt f?
53510448*f
Differentiate -27614689*n**3 - 3871031 with respect to n.
-82844067*n**2
What is the first derivative of j**2*w + 179*j**2 - 5010*j - 34537861*w wrt w?
j**2 - 34537861
Differentiate -2*b**3 - 1122751*b + 28422116.
-6*b**2 - 1122751
What is the third derivative of -468195260*w**4 - 17*w**2 - 118712*w + 3 wrt w?
-11236686240*w
What is the first derivative of -v**4 - 1120483*v + 4162176?
-4*v**3 - 1120483
What is the third derivative of -15207*s**4 + 181*s**3 + 30*s**2 + 4*s + 115?
-364968*s + 1086
What is the first derivative of 119*j*u**2 + 8*j*u - 826*j - 73*u**2 - 104418*u wrt j?
119*u**2 + 8*u - 826
Differentiate -9*a**3*h**3*p + 567862*a**3*h*p - 4418927*a**3 + 10*a*h**3 wrt p.
-9*a**3*h**3 + 567862*a**3*h
Find the third derivative of -223743*r**4 + 47*r**3 - 5*r**2 + 45*r + 25807 wrt r.
-5369832*r + 282
Differentiate 5*m**4*n**3 + 34263806*m*n**3 - 25735016*n**3 with respect to m.
20*m**3*n**3 + 34263806*n**3
What is the first derivative of -2699*w**2 + 33*w - 1917844 wrt w?
-5398*w + 33
What is the third derivative of -19531785*p**4 - 8*p**3 + 368918073*p**2?
-468762840*p - 48
Find the third derivative of -245354401*y**4 - 217541936*y**2 wrt y.
-5888505624*y
What is the third derivative of 8308993*u**6 + 41469*u**2 + 56*u + 3?
997079160*u**3
What is the second derivative of 27154328*i**2 - 1463*i + 7345?
54308656
What is the second derivative of 120730340*a**2 + 141390045*a wrt a?
241460680
What is the second derivative of -14284849*j**2*m**2 + 3*j**2*m - 120*j**2 + j*m**5 + 17*j*m + j - 9*m - 2 wrt m?
-28569698*j**2 + 20*j*m**3
What is the derivative of -2726*l*o*y - 138407*l*y + 132*l - 17292*o + 7 wrt y?
-2726*l*o - 138407*l
Find the second derivative of 86351466*w**2 + 31497718*w - 1 wrt w.
172702932
What is the third derivative of 66086810*u**3 - 2815*u**2 + 31*u + 64 wrt u?
396520860
Find the third derivative of 145149892*l**4 + l**2 + 214317844*l wrt l.
3483597408*l
Find the second derivative of 119*m**3 + 32202*m**2 - 73*m + 263765.
714*m + 64404
Find the second derivative of 7620458*l**5 - 115958*l + 16.
152409160*l**3
What is the third derivative of 6790697*y**3 - 2*y**2 - 2202800*y?
40744182
What is the second derivative of -361578096*h**3 - 655990114*h wrt h?
-2169468576*h
What is the first derivative of -12661*l*u**3 - l*u**2 + 12380949*l - u**3 wrt u?
-37983*l*u**2 - 2*l*u - 3*u**2
Find the second derivative of 3*o**5 + 374242*o**3 + 3*o**2 - o - 34650060.
60*o**3 + 2245452*o + 6
What is the second derivative of 3215073*d**2*i**2*s**2 - 39*d*i**2*s - 328*d*i**2 - 8*d*i*s**2 - d*i + i**2*s**2 wrt d?
6430146*i**2*s**2
Find the second derivative of 1776723*b*y**2 + 67*b*y - 2*b + 39*y**3 - 63*y - 491 wrt y.
3553446*b + 234*y
What is the first derivative of 20001744*j**2 + 20645127?
40003488*j
Find the first derivative of 1544*a**3*k**2 + 4794846*a**3 - 6*a - 3279*k**2 wrt k.
3088*a**3*k - 6558*k
What is the third derivative of -190496811*f*z**3 - 2*f*z**2 - 33382059*f*z wrt z?
-1142980866*f
What is the derivative of 4*d*j + 4*d*v + d + 176*j*v + 210*j + 4995*v + 2014 wrt v?
4*d + 176*j + 4995
Find the second derivative of -439671*v**4 - 2941*v + 1608 wrt v.
-5276052*v**2
Find the second derivative of 2*a*g**3 + 170832*a*g**2 + 53*a*g + 57*g**3 - 158878*g wrt g.
12*a*g + 341664*a + 342*g
What is the derivative of -22*k**2*m**3 + 60007*k - 9351677*m**3 wrt k?
-44*k*m**3 + 60007
Differentiate 3569*c**2*r**2 - 2287*c**2 - 237*r**3 + 29*r**2 - 4440 with respect to r.
7138*c**2*r - 711*r**2 + 58*r
What is the second derivative of 1517011930*t**3 + 363713659*t?
9102071580*t
Find the first derivative of -12*f**3 - 631*f**2 + 1152*f - 668656605.
-36*f**2 - 1262*f + 1152
What is the second derivative of -263891*n**5 + 82*n**2 + 5892*n - 4643?
-5277820*n**3 + 164
Find the third derivative of 1479*n**6*r + 30369*n**6 - 10*n**2*r + 7719144*n**2 wrt n.
177480*n**3*r + 3644280*n**3
What is the second derivative of -62801362*k**2 + 170603762*k?
-125602724
What is the third derivative of 2*i**4 - 4231008*i**3 - 8*i**2 + 139817*i + 1?
48*i - 25386048
Find the second derivative of -161*j*p**2 + 13*j*p*s + 10*j*s - 12*p**2*s**2 - 480*p**2*s - 32*s**2 wrt p.
-322*j - 24*s**2 - 960*s
What is the second derivative of -b*s**2 - 713705*b*s - 2140100*s**2 - 4*s wrt s?
-2*b - 4280200
What is the first derivative of -14052*t**2 + 143*t + 58284542?
-28104*t + 143
What is the derivative of -880430*k**2*r*z - 318*k**2*r - 25962*k*r wrt z?
-880430*k**2*r
Find the third derivative of 12454*y**5 + 11*y**4 - 2*y**3 - 2*y**2 + 219744*y - 2.
747240*y**2 + 264*y - 12
Differentiate 20346640*r**4 + 12114631 wrt r.
81386560*r**3
Find the second derivative of 119303889*r**5 + 2*r**4 + 252316858*r.
2386077780*r**3 + 24*r**2
What is the second derivative of -3347*h**4 + 7137*h**2 - 10*h + 1237187?
-40164*h**2 + 14274
Find the third derivative of 23714*j**4*y**2 - 112*j**3*y**2 + 2710*j**2*y**2 + j**2*y + 8*j**2 + 4*j - y**2 + 4 wrt j.
569136*j*y**2 - 672*y**2
What is the third derivative of -2*s**3*x + 37057031*s**3 - 4*s**2*x + 180*s*x - x - 7612 wrt s?
-12*x + 222342186
What is the second derivative of -66*n**3*v**2 - 204480*n**3*v - 4549*n*v**2 - 448*n*v + 7*n wrt n?
-396*n*v**2 - 1226880*n*v
What is the third derivative of 64499990*m**4 + 125948005*m**2 wrt m?
1547999760*m
Find the first derivative of 2*g**2 + 120633312*g + 267557464.
4*g + 120633312
Differentiate 5*l*z - 930730*l - 120140268*z with respect to l.
5*z - 930730
Find the first derivative of 632*d**3*m - 48586487*d**3 + 4*d**2*m + 1740*d*m + m wrt m.
632*d**3 + 4*d**2 + 1740*d + 1
What is the second derivative of -28294838*t**2 + 14310066*t wrt t?
-56589676
Find the first derivative of -40*v**4 - 1776195*v**3 - v**2 - 33452027.
-160*v**3 - 5328585*v**2 - 2*v
What is the first derivative of -10952557*p**3 - 9443666?
-32857671*p**2
Find the first derivative of -98285620*t - 156294160 wrt t.
-98285620
Find the first derivative of -23315359*c**3 - 15240511 wrt c.
-69946077*c**2
Differentiate 8800855*a - 865068.
8800855
Find the third derivative of 73702925*l**3 + 5*l**2 + 4803019*l.
442217550
What is the second derivative of 8269493*u**2 - 2279530*u wrt u?
16538986
What is the second derivative of -28173868*y**2 - 262818*y + 3?
-56347736
What is the second derivative of -3347464*a**2 - 12315464*a wrt a?
-6694928
What is the third derivative of 126*u**6 + 16316*u**5 - 9*u**2 + 13*u - 1226 wrt u?
15120*u**3 + 978960*u**2
What is the derivative of -4*q**2*t**3*w - 2*q**2*t**3 + 89*q**2*t**2 - 23985651*q**2*w - 14*q + t**3 - 8
|
{
"pile_set_name": "DM Mathematics"
}
|
Suppose w = y*v - 0*v - 6, -2*w - 17 = v. Let j = 26 + w. Solve 2*n = -2*n - 16, t - 4*n = j for t.
2
Let m(d) = -894*d - 8043. Let q be m(-9). Let l = 19 - 5. Solve -q*u = -5*i - l, i + i + u = -10 for i.
-4
Let j be 427/49 - 4/(-14). Let n be (j/(-6))/(18/(-60)). Solve -2*v - 5*k = 0, v - k + n = -6*k for v.
5
Let p = -27 + 23. Let k be (-72)/(-6) - (6 + 2 + p). Let y be 1*24/(-64) + 19/k. Solve 4*j + c + 21 = 0, y*j = 3*j + 4*c + 24 for j.
-4
Let y be (-54)/9 + (-3)/(5/((-250)/15)). Solve y*t = -3*n - 23, 3*n - 4*t + 0 = -7 for n.
-5
Let d = -1 - -3. Suppose 3*x - g = d*g, 3*x + 4*g = 14. Suppose -193*w + 17 = -369. Solve -4*f + x = -w*i, i + 5*f - 6 - 7 = 0 for i.
3
Let y be -2 - -3 - -3*10/15. Suppose 55 - 19 = y*c. Suppose 4*h + 0 - c = 0. Solve u = -h*d - 13, -5*u = 2*d - d - 5 for u.
2
Let x(z) = z**3 + 43*z**2 + 17*z + 735. Let r be x(-43). Solve i + 2 = -g, -2*g = g - r*i - 22 for g.
2
Let i be (2254/147)/(1 - 1/3). Suppose -31*m + i = -30*m. Solve -r = -3*v + r + 5, 5*r + m = -3*v for v.
-1
Suppose f = -4*d - 53, -4*d - f - 33 = -4*f. Let a be 77/21 + (-4)/d. Solve 0 = -t - a*h - 7, 0 = -h + 2 - 4 for t.
1
Let q = -238 + 247. Suppose 0 = 4*m - q - 47. Solve -14 = -5*a + g, -2*g + m = -a - 6*g for a.
2
Let i(d) = -d**2 - 4*d. Let k be i(-2). Solve 1 = -4*u - q, k*u - 12*q = -10*q + 14 for u.
1
Let l = -131 - -134. Let s = 7 - 5. Solve -2*t - s = -g, 3*t - l = -g + 4 for g.
4
Let i(d) = -3*d**2 - 65*d + 49. Let g(n) = 9*n**2 + 194*n - 146. Let v(h) = 2*g(h) + 7*i(h). Let y be v(-23). Solve 0 = y*l - 25, -5*l = o - 0*l - 30 for o.
5
Let c = 1 - 2. Let z(d) = -28*d - 4*d**3 + 63*d - d**2 + 2 + 0 + 1 - 33*d. Let x be z(c). Solve 4*s = x*p, 0*p = -p - 5*s for p.
0
Let s(u) = -u**3 + 5*u**2 - 2*u - 2. Let y be s(3). Suppose y*a + 29 = 139. Solve -2*p + 19 = -3*q, 2 = -2*p + q + a for p.
2
Let d be (-140)/(-35) - (-117 - 1). Let f = d - 116. Solve 4*p - 3*g - f + 16 = 0, -3*g = 6 for p.
-4
Let x(j) = -j**2 + 6*j + 4. Let n be x(6). Let r(m) = 7*m**2 + 42*m + 12. Let d be r(-8). Let h = d - 119. Solve -2*c = n*l + 10, -6*c - 15 = -c + h*l for c.
-1
Suppose 86*l + 26*l = -56*l + 47*l. Solve l = 4*g + 7*s - 5*s + 10, 5*s + 25 = 0 for g.
0
Let q be (-22)/(-5) - 504/1260. Solve 2*b = s + 12, q*b - 28 = 4*s + b for s.
-4
Let f = -487 + 491. Solve -2*g - 2*t - 38 = -18, 2*g - 16 = f*t for g.
-4
Let s = -86 + 88. Suppose -13*x + 11*x + 3*o = -13, s*x = o + 7. Solve -4*l + 2*l = -2*q + 6, x*l + 4*q = -12 for l.
-4
Suppose -u + 3 = 3*s - 6, 0 = 2*u + s - 43. Let i be 7 - (-12 - (-25 + 9)). Solve 6*k - 3*k + 3*x + u = 0, 0 = i*k + x + 16 for k.
-4
Suppose 634*t - 605*t - 725 = 0. Solve -4*m - 2*o = t - 43, -o + 12 = 3*m for m.
3
Let t = 7987 + -7983. Let u = 43 - 22. Let b be (70/u)/(3/(18/t)). Solve c + 0 = -3, -b*j - 32 = 4*c for j.
-4
Let v(z) = z**3 + 24*z**2 - 20*z + 129. Let p be v(-25). Solve d + 2 = 5*u - 0, -p = -3*u + 2*d for u.
0
Suppose 5*p = 5*s - 135, -150*s = -152*s + 9*p + 26. Solve 32*h = s*h + v - 1, 2*v + 6 = 0 for h.
-4
Suppose -8*v + 6 + 26 = 0. Suppose 0 = -v*o - 3*i + 1, 5*o - i = 3*o + 13. Solve 2*j - 30 = 4*n - 2, o = j for n.
-5
Let y = -34964 - -34964. Solve -3*u - 12 = y, -30 = 4*c + u - 46 for c.
5
Suppose -15*a + 1632 = -3*a. Suppose a*z = 154*z - 144. Solve 0 = -b - 5*j + 11, -5*b - 3*j = z + 3 for b.
-4
Let o = -105131 + 105137. Let v = -2 + 4. Suppose 0 = 5*h - 13 + 3. Solve 14 = -n - h*n + v*w, -n + o = 2*w for n.
-2
Let y(d) = -d**2 + 15 + 4 - 5 + 10*d. Let w be y(11). Solve -3*z + l + 10 = 0, 4*z + w = -l + 14 for z.
3
Suppose -l + 60 = 19*l. Let o(a) = 2*a**2 + 13*a + 8. Let c be o(-6). Solve -c*n - 4*b - 22 = -0*n, 2*b = -l*n - 21 for n.
-5
Suppose -21*p + 3*d - 22 = -23*p, -12 = -2*d. Solve -5*w - 3*j + 2*j = -14, -4*j - 10 = -p*w for w.
3
Suppose 5*p + 3*q + 10 = 0, 5*q - 25 = p + 5. Let c be 4/(p + (-11)/(-2)). Suppose c*j + 27 = 115. Solve -3*v = 2*u - 4*u - j, -2*u = -4*v + 14 for u.
-1
Suppose -4*n - 2*p = -26, 2*n + p - 15 = 2*p. Let g(t) = -t + 4. Let w be g(11). Let y = 10 + w. Solve 0 = 3*d + 5*b - 8 - n, 0 = 4*d - y*b + 9 for d.
0
Suppose -12 = -49*a + 46*a. Suppose -14 = b + 4*y, -y + 6*y = -2*b - 13. Let f be (-3)/2*(-370)/111. Solve -12 = -d - a*j, -f*j + 24 = 5*d - b for d.
4
Let m = -3725 + 3767. Solve y = 4*a + 17, -47*y = -m*y - 5*a - 10 for y.
-3
Let y(x) = -x**2 + 5*x. Suppose 0 = -t - 4*b + 16, 2*b = -4*t + 3*t + 10. Let w be y(t). Suppose -w*u = -8*u. Solve -15 = 4*g + o, u = -6*g + g + 5*o for g.
-3
Let z = 213 + 97. Let u = z - 308. Solve x = -u*y - 7, 4*y = -x - 2*x - 17 for x.
-3
Let y = 57 - 53. Suppose -y*b = -8*b + 40. Suppose s - 20 + b = 0. Solve 0 = 2*m - 5*t + 3 - s, 13 = -4*m + t for m.
-4
Suppose 0 = -7*k + 6*k - 3*d - 16, 5*k + 5*d + 20 = 0. Solve -2*y - 4*v = k*y - 4, 0 = -2*y + 3*v + 22 for y.
5
Let i(o) = -o**3 - 36*o**2 + 26*o - 403. Let k be i(-37). Solve -11 = 3*m + u, -4*m - k*u = 1 + 27 for m.
-2
Suppose -32*d + 34*d - 254 = -2*f, 248 = 2*d - 4*f. Suppose -16*s + d = 5*s. Solve -2*p - 10 = 5*x, 4*p + s = -x - 14 for p.
-5
Let k be (5 - 2)/(-3) + -2. Let b be ((-228)/(-15) - 12/60) + k. Solve 2*w + b = -4*d, -5*d - 2*w - 5 = 12 for d.
-5
Let j be (-48)/(-408) + 2366/119. Solve -3*l + 5*q = -12, 4*l - q - j = -l for l.
4
Suppose 9356 = 8*b + 3276. Suppose b = -3*h + 766. Suppose 10 + 5 = 3*c. Solve -h = c*l + 8, 4*y + 10 = l for y.
-3
Let d be 1 - (7 - (-6 - -8 - -1)) - -7. Solve -17 = j + 6*x, d*j - 17 = 3*x - 31 for j.
-5
Suppose 22*i - 27*i = -2*y + 40, -3*y + 85 = 5*i. Solve l - 29 = 5*x, -4*x = -5*l - 3*x + y for l.
4
Let j(u) be the second derivative of 2*u**3/3 + 3*u**2/2 - 6*u. Let k be j(-10). Let h = k + 42. Solve 0 = 4*b - 2*q - 16, 11 = -b - h*q - 7 for b.
2
Let s(l) = l**2 - l - 151. Let a(i) = i**2 - 2*i - 149. Let p(w) = -2*a(w) + 3*s(w). Let z be p(-13). Solve -h - z = -2*r - 0, 3*r + 5*h = -5 for r.
0
Let m(l) = 10*l - 8. Let d(b) = -29*b + 23. Let u(q) = -3*d(q) - 8*m(q). Let a be u(1). Solve p - a*p - g - 6 = 0, -3*g + 6 = -5*p for p.
-3
Suppose 96*j - 226*j + 2080 = 0. Solve -2*h = -5*a + 17, -18*a + 9 = -3*h - j*a for h.
-1
Suppose -5*q = 5*v - 50, -10*v + 23*q + 16 = 21*q. Solve v*w = 3*k + 24, 2 + 6 = 4*w + 4*k for w.
5
Let j(w) = 6*w + 14. Let k be j(-2). Suppose k*y - 5*y = 0. Suppose 4*g = 3*o + 35, 4*g + 2*o - 8 - 2 = 0. Solve 2*z = 2*v - y + 4, -g = 5*v for z.
1
Let i be -10*(-5)/((-325)/(-52)). Solve -4*q + 3 = x, i*x + q = 3*x + 15 for x.
3
Let i be 946/121 - 8 - (-2 - (-70)/(-22)). Solve q - 2 = -3*d + 23, 37 = i*q + 4*d for q.
1
Suppose 2*j + 6 = 0, 59*o - 4*j + 51 = 62*o. Solve i = 5*g + o, -g + 24 - 28 = 0 for i.
1
Let y(d) = -95*d + 1600. Let s be y(16). Solve -v = -3*b + 2, -s*b + 30 = -70*b for v.
7
Suppose -24*x = -20*x + 4. Let s be 14 + (-6 - x) - -23. Solve -5*b + 4*f = 41, -4*f - 6 + s = -2*b for b.
-5
Let f be (57 - 44) + (-5 - -1 - 1). Let m = 6 - -3. Solve -2*b = -p, -m*b = -f*b for p.
0
Let j(h) = -h**3 - h**2 + 21*h + 6. Let u be j(-4). Let c be ((-32)/(-40))/((-4)/u). Solve -17 = 3*q - 2*n, -3*n - 12 = c*q - 3*q for q.
-5
Let i = 2367 - 2364. Solve 3*v + 2*s - 4*s = 19, 0 = -3*v + i*s + 24 for v.
3
Let p be (11 - 7)*-1 - -6. Suppose 2*c + 0 = -p*g + 6, 5 = 5*c. Solve 4*u + g*z - 6 = 6*u, 1 = -z for u.
-4
Let g = -8968 + 8968. Solve -10 = -h - k, -4*h + 7*h - 3*k = g for h.
5
Suppose 4*u = -4*c - 28, -2*u - 41 = -16*c + 21*c. Solve -2*w = -5*d + 19 + 16, 0 = -u*d - 4*w - 10 for d.
5
Let z(u) = -u**3 + 3*u**2 + 20*u + 24. Let t be z(-2). Solve -2*l + 32*h = 37*h - 8, -16 = -t*l + 2*h for l.
4
Suppose 0 = 2*h + 2*h, 4*h + 12 = 19*m - 17*m. Solve 3*u - m*a = -3*a + 33, -32 = -u + 4*a for u.
4
Let d be (-22 + 38 + 656/(-40))/(2/(-10)). Solve -4*x - 16 = -d*q, -68*x + 64*x - 4 = -5*q for q.
-4
Let h be (35 - 26) + (-2)/3*-33. Solve 5*q - 3*w + 11 = h, 0 = -w + 5 for q.
7
Suppose -76*v = 145*v. Solve v = -3*t + 2*b + 10, 24*t - 25*t - 4*b - 6 = 0 for t.
2
Suppose 0 = v - 41 - 13. Let c = v + -51. Let g be (-4)/c*24/(-8). Solve -2*k - 13 = -g*n + n, 4*k - n + 1 = 0 for k.
1
Let l(i) = 2*i - 19. Let x be l(11). Let j be (-250)/(-75)*x/5. Solve -j*r + 5*q + 19 = 0, r - q - 11 = 2*q for r.
2
Suppose 3*t - 7*t = 0, 3*d - 4*t - 12 = -t. Solve -y - v - d = 0, 5*v = -2*y - 5 - 6 for y.
-3
Let c(u) = -u**3 - 157*u**2 - 1048*u + 305. Le
|
{
"pile_set_name": "DM Mathematics"
}
|
/24 - 21*t**3 - 699*t**2 - 5. Determine u(-24).
-6
Let v be -2*3 - (-3 + 5)*-43. Let c(n) = 67*n + v*n + 9 - 146*n. What is c(-6)?
3
Let p(s) = 7*s**2 - 9*s + 3. Let l(z) = 3*z**2 + 10*z - 22. Let x be l(4). Let j = 65 - x. Let t(c) = -c**2 + c - 1. Let f(q) = j*p(q) - 6*t(q). Give f(7).
-25
Let h be (-14 - -19)*(-11)/(-5). Let m(k) = 7*k**2 + 7 + k**3 + 15*k + h*k - 16*k. Determine m(-6).
-17
Let q(b) be the first derivative of b**4/4 - 5*b**3/3 + 5*b - 1. Suppose 5*y = -4*o + 9*o - 45, 3*y + 7 = -o. Calculate q(o).
5
Let z(t) be the second derivative of -t**4/12 + 4*t**3/3 + 5*t**2/2 + t. Let l be -1 + 4 + 7/21*-21. Let b(x) = 2*x + 14. Let q be b(l). Calculate z(q).
17
Let m(a) = -15*a - 97. Suppose 17*p + 35 = -5*v + 21*p, -2*v - p - 14 = 0. Calculate m(v).
8
Suppose 32 + 36 = 4*v. Suppose 32 = 7*h - v. Let y(x) = x**2 - 3*x + 5. What is y(h)?
33
Let u(q) = -2*q + 3. Suppose 40*a - 588 = 47*a. Let k = a + 83. Calculate u(k).
5
Let x(l) = -58. Let v(j) = -10*j + 65. Let z(m) = -v(m) - 4*x(m). Give z(-16).
7
Let a(p) = -p - 3. Let j be a(7). Let f(b) = -43*b**2 + 9*b + 8. Let t(s) = 4*s**2 - 1. Let y(x) = f(x) + 11*t(x). What is y(j)?
7
Let n(q) = 0 + 3*q + 3 + 2. Let k(z) = z**2 + 10*z - 29. Let a be k(-12). Let v be (36/(-6))/(-6)*a. Give n(v).
-10
Let t(x) be the second derivative of x**5/5 - x**4/6 - x**3/6 - 7*x**2/2 - 3915*x + 2. Give t(3).
80
Let j(u) = 2*u + 3. Let s = 38 + -34. Let z be (-20)/(-150) - s/30. Suppose z = 2*m - 5 - 1. Calculate j(m).
9
Let x(i) = -i**2 + 592*i - 615*i - 14 - 16. Determine x(-25).
-80
Let r(v) = -v**2 + 7*v - 4. Let f = -5919 + 5926. Determine r(f).
-4
Let k(o) = 2*o + 1. Let b(u) = -9*u**3 - 3*u**2 + 3*u - 2. Let n be b(2). Suppose 13*a + 380 = 5*i + 11*a, 5*i - 345 = -5*a. Let x = i + n. Calculate k(x).
-11
Let t(u) = 26*u - 5 + u**2 - 2*u**2 + 3*u**2. Give t(-13).
-5
Let z(l) be the first derivative of -2*l**2 - 26*l - 948. Determine z(-4).
-10
Let z = 4 + -12. Let q(o) be the first derivative of 7/2*o**2 - 8*o + 1/3*o**3 - 68. Determine q(z).
0
Let s(t) = -t**3 - 24*t**2 - 16*t - 362. Let f(x) = -x**3 - 25*x**2 - 15*x - 428. Let n(a) = 5*f(a) - 6*s(a). Determine n(-18).
-22
Let c(l) = 7*l - 7. Let y(r) = 6*r - 6. Let j(b) = -4*c(b) + 5*y(b). Suppose 6*g + 3*a = 18, -55*a - 24 = -g - 52*a. Give j(g).
10
Let d(c) = 2*c - 1. Let y = -69 + 82. Suppose -5*x + 11*k = y*k - 20, 0 = -k. Calculate d(x).
7
Let i(a) be the first derivative of a**4/2 + 20*a**3/3 + 3*a**2/2 + 26*a - 2786. Calculate i(-10).
-4
Let s be 2*6*(754/104 - 6). Let v(m) = -m**2 + 13*m + 31. Give v(s).
1
Let c(g) = 38*g**2 - 11858*g + 623. Let t be c(312). Let k(j) = -j**3 - 2*j - 1. Let r(z) = z + 1. Let u(f) = k(f) + 2*r(f). Determine u(t).
2
Let z(y) be the second derivative of y**4/2 + y**2/2 + 25*y. Suppose -5*c = -20, -5*u + 10*c = 12*c - 13. Determine z(u).
7
Suppose -3 + 3 = 21*h. Suppose 2*t - 3*u + 0*u - 19 = h, 2*t = 5*u + 25. Let j(q) = q + 10. Let r(x) = x + 11. Let l(i) = 4*j(i) - 3*r(i). Calculate l(t).
12
Let j(s) = -17*s + 11 - 412*s**2 + 206*s**2 + 6 + 10*s + 207*s**2. Give j(5).
7
Let m(t) = t**3 - 7*t**2 + 4*t + 14. Let h be m(6). Let y(x) = 25*x**2 + 1 - 2*x + 9*x**h - 38*x**2. Determine y(-2).
-11
Let k(l) = -l**2 + 3*l + 10. Let m be k(5). Let h(z) be the first derivative of -13*z - 21 + 3*z**2 - z**2 + m*z - 3*z**2. Give h(-9).
5
Let r be 3 + 9 + (3 - -1). Suppose -r*y - 50 = -21*y. Let j(x) = 2*x - 18. Let s be j(y). Let w(c) = c**2 - c. Give w(s).
2
Let l be 3/(-10)*10/12 - 456/608. Suppose f - 5*x - 42 = -2*f, x = -3*f + 24. Let r(m) = -f*m**3 - 1 + 0 - 12*m**3. Calculate r(l).
20
Let g(y) be the first derivative of -3*y**2/2 + 16*y + 8. What is g(5)?
1
Let f(o) = o**3 - 10*o**2 + 2*o - 12. Let s be f(10). Let a(h) be the third derivative of 3/8*h**4 + 4*h - h**2 + 0 - 1/60*h**5 - 2/3*h**3. Calculate a(s).
4
Let m(c) = 2*c - 3. Let j = -3605 - -3597. Let n(g) = 3*g**2 + 24*g + 17. Let d(b) = -2*b**2 - 16*b - 11. Let q(z) = -7*d(z) - 5*n(z). Let s be q(j). Give m(s).
-19
Let i = -38383 - -38389. Let f(q) = -6 - 2*q**2 + q**2 - 6*q**2 + q**3 + 7*q. Calculate f(i).
0
Let n(h) = 5*h**3 + 2*h**2 + 6*h - 8. Let d(w) = 14*w**3 + 6*w**2 + 17*w - 23. Let o(k) = 4*d(k) - 11*n(k). Let x be 1*((-3)/10)/(97/(-970)). Calculate o(x).
47
Let d be 2/((-24)/6*(-3)/(-54)). Let u(q) = 9*q**3 + 27*q**2 + 13*q + 5. Let w(x) = -4*x**3 - 13*x**2 - 7*x - 3. Let s(t) = -3*u(t) - 7*w(t). Determine s(d).
-3
Let r(q) = 7*q**3 - q. Let p be r(-1). Let c(b) be the third derivative of b**4/6 + 11*b**3/6 + 2*b**2 - 117. Give c(p).
-13
Suppose b + 8 = 2*h, -3*b + 6*h - 2*h - 12 = 0. Let g(u) = 10*u**2 - 9*u - 2 - u**2 + 5*u - 2*u**2 - u**3. Give g(b).
30
Let o(d) be the third derivative of -d**5/60 - 25*d**4/24 - 29*d**3/2 - 4098*d**2. Calculate o(-21).
-3
Let g(s) = -s**3 - 18*s**2 - 28*s + 79. Let j be g(-16). Let r(b) = -j*b**2 + 37*b**2 + 0 - 17*b**2 - 1. Let d be 2*1*(-1)/2. What is r(d)?
4
Suppose 5*a + 0*m = m + 22, a + 10 = 5*m. Suppose -4 = -6*y + a*y. Let j(s) = s**2 - s + 2. Determine j(y).
14
Let n = -3322 - -3350. Let g(m) = -m**2 + 31*m - 98. What is g(n)?
-14
Let q be 6/9*-2*3. Let v(h) = -2*h**2 - 25*h + 4. Let f(z) = -3*z**2 - 36*z + 6. Let r(n) = -5*f(n) + 7*v(n). Give r(q).
-6
Let c(u) be the first derivative of -u**4/2 - 5*u**3/3 - 2*u**2 + u - 42. Let x be 9/6*72/(-54). Give c(x).
5
Let h(m) = 2*m + 14. Suppose 4*f + 12 = 4*g, -5*g = -f - 35 + 32. What is h(f)?
8
Suppose 3*j + 3*p = 7*j - 220, 136 = 3*j + 5*p. Let b = j - 50. Let a(d) = 138 + b*d**2 - d + d**3 - 138. Calculate a(1).
2
Let h(j) = j**2 - 12*j - 23. Suppose -110 = -1420*y + 1409*y. What is h(y)?
-43
Let m be (-3)/(-2) + 1 + (-14)/(-28) + 3. Let l(p) = -15*p + 82. Give l(m).
-8
Let s(m) = -5*m**3 + 2*m**2 + 3*m - 4. Let w(o) = -26*o**3 - o**2 + o - 2*o + 27*o**3 + 1. Let d(b) = s(b) + 4*w(b). Determine d(2).
-18
Let u(q) = -7*q - 51. Let a = 7702 - 7708. Calculate u(a).
-9
Let i be (-3)/(-27) + 7 - 2/18. Let p(h) = -h**2 + 19*h - 85. What is p(i)?
-1
Let c(u) = 40 - 33 - 6 + 47*u**2. Let z(v) = 238*v**2 - v + 6. Let n(s) = 11*c(s) - 2*z(s). Determine n(1).
42
Let g(u) = 3*u**2 - 38*u + 102. Let l(j) = -2*j**2 + 20*j - 50. Let m(f) = -3*g(f) - 5*l(f). Give m(-17).
-5
Let u(v) = v**3 - 5*v**2 - 8*v + 9. Let d = -32 + 36. Let k be d/(-10) + (-22)/(-5). Suppose -k*g = -27 + 3. What is u(g)?
-3
Let p(j) = 110*j**2 + 268*j + 61. Let h(o) = 67*o**2 + 135*o + 30. Let v(b) = -5*h(b) + 3*p(b). Calculate v(26).
7
Suppose 955 = -664*b + 855*b. Suppose 2*k - 15 = -3*k, 3*k - 1 = 4*y. Let o(n) = 2*n**2 - 4*n + 0 - n**y + 2. Give o(b).
7
Let f(x) = -13 + x**2 + 3*x + 12 - 2*x**2. Let o = 9 + -19. Let z = o + 13. Give f(z).
-1
Let i = -45 - -50. Let v be -50 - (-2 - (i - 3)). Let k = v - -48. Let r(j) = j**3 - j**2 - 4*j + 3. Calculate r(k).
-1
Let k(s) = 109*s + s**2 - s**3 + 31*s + 2*s**3 + 20 - 140*s. Let o = -36 - -36. Determine k(o).
20
Let v(p) = -p + 2. Let a(y) = -y - 17. Suppose -w - 12 = -1. Let n be a(w). Determine v(n).
8
Let k(n) = -11*n + 123. Let h be k(-13). Let i = h + -263. Let f(y) = 2*y - 7. Determine f(i).
-1
Let c(y) = 13*y - 5. Let u(g) = -14*g + 9. Let w(a) = 5*c(a) + 4*u(a). What is w(-5)?
-34
Let h(j) = j**3 + 3*j**2 - 2*j + 6. Let t be 3*-2 + 84/14. Suppose -9*a - 29 - 16 = t. What is h(a)?
-34
Let o(n) be the first derivative of -n**3/3 + 9*n**2/2 + 9*n - 23. Suppose 31 = 3*y + 4*m, -3*y + 4*m = -28 + 5. Calculate o(y).
9
Let s(d) = 5*d - 29. Suppose 4*a = -18*n + 27*n - 48, a = n - 7. Determine s(n).
-9
Let s(m) = 163*m - 492. Let x be s(3). Let w(p) = 14*p + 8. What is w(x)?
-34
Suppose 3*f + g = -12, -2*g - 8 = 58*f - 56*f. Let c(o) = 6*o + 1. Let w(b) = -6*b - 2. Let n(r) = -6*c(r) - 5*w(r). Determine n(f).
28
Suppose -u - 261 + 139 = 0. Let k = u - -116. Let v(z) = z**3 + 6*z**2 - 2*z - 1. What is v(k)?
11
Let k(n) = 27*n**3 - 2*n**2 + 7*n + 10. Let u be k(-2). Let c = -222 - u. Let v(x) = x**2 - 6*x - 10. Determine v(c).
-10
Let z(f) be the first derivative of -f**3/3 - 3*f**2 - 2*f - 61. Let i = 19 + -26. Determine z(i).
-9
Let x(f) = -2*f + 12. Let m be (-83)/9 + (-12)/(-54). Let g be 1*m/6*(-32)/6. Calculate x(g).
-4
Let p(x) = -2*x + 7. Let o = 35 - 28. Let g(s) = -3*s + 14. Let b(i) = o*p(i) - 4*g(i). Suppose -5*r = 2*d + 44, -4*d +
|
{
"pile_set_name": "DM Mathematics"
}
|
lowest common multiple of 74746 and 126?
672714
Find the common denominator of -121/68796 and 41/1176.
137592
What is the lowest common multiple of 11541 and 61?
704001
What is the lowest common multiple of 2891112 and 27?
26020008
What is the common denominator of 25/1674 and 71/93?
1674
What is the common denominator of -51/64556 and 53/18?
581004
Calculate the smallest common multiple of 12960 and 900.
64800
What is the smallest common multiple of 774940 and 8?
1549880
Calculate the lowest common multiple of 301 and 22231.
155617
What is the common denominator of -63/5300 and 87/134620?
673100
Calculate the common denominator of 95/18244 and 87/40.
182440
Calculate the smallest common multiple of 5508 and 10692.
181764
Calculate the common denominator of -73/13560 and -127/180.
40680
What is the common denominator of 95/286 and 83/280?
40040
What is the lowest common multiple of 646 and 2584?
2584
What is the least common multiple of 80 and 7830?
62640
What is the least common multiple of 124488 and 6118?
2863224
Find the common denominator of -21/830104 and 137/679176.
7470936
Calculate the common denominator of 67/10 and 55/7534.
37670
Find the common denominator of 22/24939 and 67/12.
99756
What is the least common multiple of 505284 and 90692?
3536988
What is the smallest common multiple of 3137 and 159?
498783
Find the common denominator of 62/42975 and -82/197685.
988425
What is the common denominator of 65/174438 and 87/135674?
1221066
What is the smallest common multiple of 482125 and 35?
482125
Calculate the common denominator of 11/10770 and -119/58158.
290790
Calculate the lowest common multiple of 63 and 432.
3024
Calculate the smallest common multiple of 45236 and 3956.
1040428
What is the least common multiple of 14616 and 21?
14616
What is the smallest common multiple of 266 and 56?
1064
Calculate the least common multiple of 324 and 324.
324
Find the common denominator of -59/4440 and 55/411921.
16476840
Calculate the common denominator of -73/108642 and -45/36214.
108642
Calculate the common denominator of -59/12 and 37/44120.
132360
Calculate the common denominator of -43/71987 and 61/6.
431922
Calculate the lowest common multiple of 21721 and 31030.
217210
Calculate the common denominator of 3/10 and -103/910.
910
Calculate the common denominator of -133/1518096 and 119/30.
7590480
What is the smallest common multiple of 3 and 563?
1689
Find the common denominator of 42/5 and 169/4554.
22770
What is the least common multiple of 2392 and 38272?
38272
Calculate the common denominator of -65/46 and 32/833.
38318
Calculate the smallest common multiple of 215 and 134160.
134160
What is the least common multiple of 654 and 528?
57552
What is the smallest common multiple of 728 and 652?
118664
What is the lowest common multiple of 156 and 15188?
592332
What is the smallest common multiple of 48 and 104898?
839184
Find the common denominator of 67/77708 and 53/777080.
777080
Calculate the least common multiple of 29064 and 18165.
145320
What is the least common multiple of 100472 and 175826?
703304
Calculate the least common multiple of 17520 and 584.
17520
What is the lowest common multiple of 535 and 160?
17120
Calculate the common denominator of -107/1848315 and -29/3.
1848315
What is the lowest common multiple of 10330 and 4132?
20660
What is the lowest common multiple of 6360 and 189210?
756840
Find the common denominator of -59/84 and 97/79086.
158172
Find the common denominator of -35/209856 and 27/61208.
1468992
Calculate the common denominator of -31 and 42/122765.
122765
What is the least common multiple of 111 and 184737?
6835269
What is the least common multiple of 400 and 13796?
1379600
What is the lowest common multiple of 15548 and 7176?
93288
What is the smallest common multiple of 2508 and 16104?
305976
Find the common denominator of 97/9075 and -103/825.
9075
Find the common denominator of -49/204 and 19/9588.
9588
What is the common denominator of -25/529 and -29/16882?
388286
What is the lowest common multiple of 5670 and 770?
62370
Calculate the common denominator of 5/48711 and -5/14988.
194844
What is the lowest common multiple of 612 and 34816?
313344
Calculate the common denominator of 75/15182 and 91/30.
227730
Find the common denominator of 93/119152 and -3/834064.
834064
Find the common denominator of 77/28950 and -11/185280.
926400
Find the common denominator of -31/8 and -1/678328.
678328
What is the common denominator of 41/20 and -43/35974?
359740
Calculate the smallest common multiple of 4917 and 2607.
388443
Calculate the common denominator of -127/220 and 11/73520.
808720
Find the common denominator of 41/62881 and 63/17966.
125762
Calculate the smallest common multiple of 23160 and 72.
69480
Calculate the smallest common multiple of 425 and 475.
8075
Calculate the smallest common multiple of 115872 and 1278.
347616
What is the common denominator of -59/187 and 125/714?
7854
What is the common denominator of -23/316872 and -34/1215?
1584360
What is the common denominator of -71/30 and -34/105?
210
What is the least common multiple of 4 and 1258?
2516
What is the common denominator of -131/21306 and 71/220162?
660486
Calculate the smallest common multiple of 20 and 4982160.
4982160
What is the least common multiple of 297650 and 16?
2381200
Find the common denominator of -23/18 and 127/11454.
34362
What is the least common multiple of 124 and 131564?
131564
What is the common denominator of 97/18 and 13/10466?
94194
What is the lowest common multiple of 2277 and 440?
91080
Calculate the smallest common multiple of 1358 and 1785.
346290
Find the common denominator of -11/29085 and 37/693.
959805
What is the common denominator of 149/2580 and -131/112230?
224460
What is the smallest common multiple of 468 and 9594?
19188
Calculate the least common multiple of 153636 and 217.
153636
What is the common denominator of 44/1257 and 23/838?
2514
What is the common denominator of 29/6806 and -101/328?
27224
What is the smallest common multiple of 9690 and 24?
38760
Find the common denominator of -67/3903 and -47/23418.
23418
Calculate the lowest common multiple of 21219 and 3652.
7044708
Find the common denominator of -67/8793 and -34/294077.
2646693
Calculate the lowest common multiple of 5840 and 331712.
1658560
What is the common denominator of 11/68598 and 31/42?
480186
What is the least common multiple of 52 and 136396?
136396
What is the least common multiple of 43212 and 264?
950664
Find the common denominator of -123/50 and 23/11780.
58900
Calculate the lowest common multiple of 2 and 122.
122
What is the smallest common multiple of 224 and 5792?
40544
Calculate the lowest common multiple of 8658 and 1590.
2294370
Calculate the least common multiple of 77308 and 8.
154616
Calculate the common denominator of -181/180 and -83/11610.
23220
What is the common denominator of 77/1060 and 5/2052?
543780
Calculate the smallest common multiple of 297 and 4587.
41283
What is the common denominator of -15/32923 and -11/353174?
3884914
Find the common denominator of -105/466972 and 131/36.
4202748
What is the lowest common multiple of 22040 and 20?
22040
What is the least common multiple of 325028 and 32?
2600224
Calculate the lowest common multiple of 41208 and 40.
206040
Find the common denominator of -209/25620 and -9/59780.
179340
Find the common denominator of -6/5857 and -39/1399823.
1399823
Calculate the common denominator of -85/144 and 151/31014.
248112
Find the common denominator of -119/13512 and -7/2252.
13512
What is the common denominator of 104/38115 and -151/353430?
3887730
Calculate the smallest common multiple of 45648 and 40576.
365184
What is the least common multiple of 4036 and 473221?
1892884
What is the lowest common multiple of 51447 and 14031?
154341
Calculate the least common multiple of 156 and 79569.
4137588
What is the lowest common multiple of 18420 and 509620?
1528860
What is the common denominator of -11/1147 and -127/222?
6882
What is the common denominator of -11/2807 and 121/8020?
56140
Find the common denominator of 41 and 7/137183.
137183
Calculate the lowest common multiple of 105 and 471786.
2358930
What is the common denominator of 67/24 and -137/87456?
87456
Cal
|
{
"pile_set_name": "DM Mathematics"
}
|
w be -1*(-15 - -16 - 3*12). Suppose -l + w = -j + 31, l + 4*j + 16 = 0. Which is bigger: l or 12/23?
12/23
Let z = -19160 + 19161. Which is smaller: z or -6522?
-6522
Let s = 517 - 513. Suppose s*k = -n - 5, k - n = -3*n - 10. Let p be 2 + ((-4)/14 - 1). Which is smaller: p or k?
k
Let u(m) = -m**2 - 11*m + 68. Let t be u(-16). Let h(y) be the second derivative of y**3/3 - 2*y**2 + 4*y. Let i be h(3). Is t less than or equal to i?
True
Suppose 0 = 3*k - 3*u + 15, -5*k + 4*u - 19 - 5 = 0. Let j be ((-135)/225)/(k/50). Which is bigger: 9 or j?
9
Let p(q) = -q**2 + 22*q - 89. Let f be p(16). Which is smaller: f or 114?
f
Let r(h) = h**2 - 3*h - 5. Let d be r(-8). Suppose d + 52 = m - 4*g, 489 = 4*m + g. Let f = 373/3 - m. Which is bigger: 0 or f?
f
Suppose -12*o + 258 = -13*o. Let v = -259 - o. Which is bigger: 2/713 or v?
2/713
Let s(j) = -115*j - 774. Let c be s(-6). Is -671/8 <= c?
False
Let m(j) = -j**2 + 27*j + 41. Let y be m(22). Let f = 150 - y. Which is smaller: f or 5/12?
f
Let q = -55 - -66. Suppose 17 + q = -2*n. Let x = -35 - n. Which is bigger: x or -0.1?
-0.1
Suppose 0 = 5*y + 2*j + 6832 + 18610, 3*j - 25437 = 5*y. Is -5089 >= y?
False
Let b be ((-15)/(-110))/(-3)*(-12)/9. Is -2/3 less than b?
True
Suppose 0 = -4*u + 5 - 9. Let d be (36/(-20))/(u - (-21)/30). Suppose -2*s - 5*n = 9, 0 = -d*n + 2*n + 4. Which is greater: -6 or s?
-6
Let h = 3071/1155 - 106/231. Let r = -1 - -2. Which is greater: r or h?
h
Let v(l) = 5*l - l**3 + 74*l**2 - 5 - 39*l**2 - 31*l**2 + l. Let p be v(5). Which is bigger: -9/19 or p?
p
Suppose 2*y - 5*d + 19 = 0, -y - d = -6*d + 22. Let n = -0.33 + -57.67. Let k = n + 64. Are k and y equal?
False
Suppose -86*v - 232 = -94*v. Let y(g) = -4*g + 115. Let s be y(v). Which is smaller: -3/46 or s?
s
Suppose 0*g + 32 = 4*g - 3*y, -2*y - 8 = 0. Suppose g*s = 5*n - 165, -4*n + 162 = n - 2*s. Let d be (-187)/9 - n/144. Is d < -22?
False
Let z be 1788/252 + (-14)/2. Let u be (101/(-5))/(2 - 4). Let v = 21/2 - u. Is v greater than z?
True
Let o be (1/4)/((-144)/64*51). Which is smaller: 1 or o?
o
Let i be ((-8)/66)/((-2)/(-36)). Let g(m) = -15*m - 106. Let z(x) = -x**3 - 6*x**2 - 5*x - 1. Let k be z(-2). Let h be g(k). Which is smaller: h or i?
i
Let w = -50 - -30. Let y(l) = l + 21. Let n be y(w). Let q be (-11)/20 + (49/28 - n). Which is smaller: 0 or q?
0
Suppose 4*t = -3*i - 441 - 87, 4*i - 3*t = -729. Let w be 1/(-10)*i/(-4635). Which is smaller: w or 1?
w
Suppose -10*q + 3193 + 527 = 0. Let z = 785/2 - q. Let l = z - 169/6. Is -7 >= l?
True
Let r be -1 + 4/(252/(-427)). Suppose 25 - 16 = 3*v. Suppose 64 = v*y - 11*y. Which is bigger: y or r?
r
Let m = -38 - -38.044. Let y = m - -28.956. Let u = y + -24. Is 0 bigger than u?
False
Suppose 1066 = -29*w - 326. Let s be (12/(-16))/((-296)/w). Which is bigger: s or 0?
0
Let v = 90.427 - -0.973. Is 2 != v?
True
Let i be (2 - 8*1) + (15964047/264)/69. Which is smaller: i or 870?
870
Let h = 25058 + -25065. Is h less than -379.7?
False
Suppose 5*q - 4*j = 1807, -5*q + 3*j = -6*q + 350. Suppose 915 = -26*m - q. Is m >= -99/2?
True
Let w be (72/(-20))/(3/60). Let t = w - -72. Suppose t = -5*p - 2*j - 4, -2 + 0 = -3*p + j. Which is bigger: 5 or p?
5
Suppose 58 = -w + 56. Let j be (-1)/w + (-255)/30. Which is smaller: j or -52/7?
j
Suppose -3*n - 3*k - 3534 = 0, n - 5*n - 4722 = 2*k. Which is smaller: -1185 or n?
-1185
Let p be 4/54 + (-246100)/2484. Is 1 greater than or equal to p?
True
Let v = -6954 + 6953.95221. Is -1 <= v?
True
Let m = 518.4 + -517.746. Does m = 6?
False
Let g = 2.3821 - 2.5821. Which is greater: g or 0.381?
0.381
Let j = 856 + -9388/11. Let k be (-3)/((-12)/8 - 0). Which is bigger: k or j?
j
Let x(q) = -q**2 + 56*q - 407. Let b be x(12). Is 2296/19 at least as big as b?
False
Let l = 0.174 + 0.826. Suppose 125 = 2*n + 3*n. Let g = n - 101/4. Which is smaller: l or g?
g
Let p = -2393 - -1039. Is p bigger than -1354?
False
Let p = -9.529 + -0.171. Let a = p - -49.7. Let l = a + -3. Which is smaller: l or -0.1?
-0.1
Let n = -29022/5 + 27669/5. Which is smaller: n or -272?
-272
Suppose 0 = -40*f + 1723 - 1683. Are 2/4245 and f unequal?
True
Suppose 5*b + 5964 = 20*d - 16*d, -d + 3*b + 1484 = 0. Is d at least as big as 1495?
True
Let l = 3 - 11. Let g(u) = -u**3 - 9*u**2 - 22*u - 65. Suppose 2*i - a = -14, 29*i = 27*i - 5*a - 14. Let x be g(i). Is l < x?
False
Suppose 0 = -47*m + 72*m. Which is smaller: -2/6115 or m?
-2/6115
Let q(t) = -t**3 - t**2 - t - 16. Let g be q(-8). Suppose -17*r + g = -87. Which is bigger: -2 or r?
r
Suppose 5*w - 29460 = 32*u - 36*u, -3*u - 23599 = -4*w. Is w at most as big as 5896?
True
Let x = -3872.12 + 3872. Which is greater: 73 or x?
73
Let z = -45.74 + -0.26. Let y = 7995 + -7994.9. Is y != z?
True
Let z(n) = -577*n - 42. Let c be z(-6). Suppose c = -6*j + 3*j. Let s = -10214/9 - j. Which is smaller: s or 5?
5
Let i = -138 + 121. Suppose -6*j + 9*j - 12 = 0. Suppose -k - 8*v - 38 = -3*v, -j*k = -2*v + 64. Which is bigger: k or i?
i
Suppose -317*o - 46*o - 302*o = 237*o. Let u be (4/722)/(-1 + 2). Does u = o?
False
Let a = -2512 - -2815. Which is greater: a or -8?
a
Let w(m) = -m**3 - 27*m**2 - 2*m - 58. Suppose -11*d - 108 = -7*d. Let a be w(d). Let n be 32*(-1)/9 - a. Which is greater: -1 or n?
n
Let r = -3009 + 2952. Is r != -75?
True
Let v be -14 - (-1491)/(-63)*45. Is -1089 less than or equal to v?
True
Let c = 21867/274 - -780/137. Let o = -160 - -246. Is o > c?
True
Let r be 1*1/(-2)*(-59 + -7). Suppose -r*j = -21*j + 24. Is -31/19 bigger than j?
True
Let i = 126.92 + -176.4. Is i greater than or equal to 1?
False
Let b = -153815251/324114 - -1/46302. Which is bigger: -475 or b?
b
Let k be ((-53310440)/(-42))/4 - 0. Let c = k - 317200. Let w = c - 124. Are 0 and w unequal?
True
Let d(t) = -36*t - 4. Let i be d(2). Let v be 2960/(-38) - (10 + (-2444)/247). Which is smaller: v or i?
v
Let j = -1 - -5. Let o(m) = -m. Let v be o(j). Let z = 3466478 + -3466479.1. Does z = v?
False
Let p = 429.55013 + -0.05013. Which is greater: p or 2/7?
p
Let d = 146.097 + -146. Let j = 0.197 - d. Is j greater than or equal to 130?
False
Let j = -3588 + 2081041/580. Is -3/4 less than j?
True
Let v = -19866 - -21801. Are 1934 and v unequal?
True
Let z be 0/(-14 + 10) - -264. Is 236 <= z?
True
Let w be 1 + (1347 + -2 - -2). Let a = 4007/3 - w. Suppose 5*z + 38 = -3*j, 16986*j + 4*z = 16987*j + 7. Is a >= j?
False
Let d = -1762 + 835.23. Let g = 927 + d. Let b = 1 + 1. Is g <= b?
True
Let x(u) = 2*u + 4. Let t be x(10). Let q = 37895 - 416569/11. Are q and t non-equal?
True
Let k = 65 + -32. Let s be 1/(-3) - (-143)/k. Suppose s*u + 31 = -65. Are u and -26 nonequal?
True
Let m = 43 + -93. Let t = m - -86. Suppose 2*x = -3*j - 24, 3*j + x = 3*x - t. Which is bigger: j or -11?
j
Suppose -5*o + 0*u = 4*u - 2730, 0 = 4*o + 5*u - 2193. Let d = 527 - o. Let w = -36 - -22. Does w = d?
False
Suppose -3*j + 3*d - 6 = 0, -d = -1 - 3. Let z(q) = -3*q**j - 5*q + 6*q - 10 - 18*q. Let u be z(-5). Is -2/17 bigger than u?
False
Let o be (1513/2314)/((-5)/(-30)*219). Which is bigger: -1 or o?
o
Suppose -4*n - 827 = 933. Let z(v) = -v**3 + 10*v**2 + 6*v - 225. Let y be z(12). Which is greater: y or n?
n
Let a = -6 + 8. Let c = -689.56 - -675.5196. Let x = -0.0404 - c. Which is greater: x or a?
x
Let n(u) = -u**2 + 17*u - 29. Let o be ((-10)/2 + 0)*-3. Let q be n(o). Let g be 0/(q/(-1)*4). Which is greater: -4/9 or g?
g
Let l(c) = -c**3 - 11*c**2 - 12*c - 22. Let f = -292 + 282. Let b be l(f). Is -8 > b?
False
Let j = -10258.5 + 10710. Which is smaller: 0.2 or j?
0.2
Let o be ((-13)/(45747/(-27)))/(6/4). Suppose 0 = -7*h + 8*h. Is h > o?
False
Let z be (-2992)/(1*2)*(6/(-2) + 4). Which is smaller: z or -1493?
z
Let c be (0 + 3/5)/(16/80). Let z be 21/(-294)*(10970/c + -2). Let f = 261 + z. Which is greater: f or 1/3?
1/3
Let v be 722/6 + (-1)/3. Let p = -15611 + 15731. Is v at least p?
True
Let v be (-1)/(((-3)/(-30))/((-4)/(-10))). Let u be (v/16)/(18306/(-4584) - -4). Is u >= -37?
False
Let c(b) = b**2 + b + 5. Let w be c(-3). Suppose 262*h - 7 = 261*h. Is w at least as big as h?
True
Let z = 946.3 - -2010.7. Which is smaller: z or 2/15?
2/15
Let l be (108/5)/(5/25). Let r be (((-8)/3)/2)/((-144)/l). Let o = 17265/476 + -254/7. Is r at most o?
False
Let w be
|
{
"pile_set_name": "DM Mathematics"
}
|
/3, to the nearest integer?
1604
What is 5399746209 to the power of 1/2, to the nearest integer?
73483
What is the third root of 491211486 to the nearest integer?
789
What is 4807411074 to the power of 1/4, to the nearest integer?
263
What is 25633284 to the power of 1/8, to the nearest integer?
8
What is the square root of 1104614097 to the nearest integer?
33236
What is 29231852 to the power of 1/7, to the nearest integer?
12
What is 19750381 to the power of 1/7, to the nearest integer?
11
What is the third root of 554530657 to the nearest integer?
822
What is the third root of 1321827576 to the nearest integer?
1097
What is 3984160 to the power of 1/3, to the nearest integer?
159
What is the third root of 2463685989 to the nearest integer?
1351
What is the cube root of 4873428992 to the nearest integer?
1695
What is 70167467 to the power of 1/2, to the nearest integer?
8377
What is the seventh root of 226412054 to the nearest integer?
16
What is the fourth root of 2136959598 to the nearest integer?
215
What is 2754406931 to the power of 1/3, to the nearest integer?
1402
What is the cube root of 1339302149 to the nearest integer?
1102
What is 25324845 to the power of 1/2, to the nearest integer?
5032
What is the eighth root of 7629743200 to the nearest integer?
17
What is 69334723 to the power of 1/4, to the nearest integer?
91
What is the third root of 28143294 to the nearest integer?
304
What is the cube root of 268039378 to the nearest integer?
645
What is the cube root of 99574313 to the nearest integer?
463
What is the square root of 109526729 to the nearest integer?
10466
What is the third root of 1911431521 to the nearest integer?
1241
What is the tenth root of 101895729 to the nearest integer?
6
What is the eighth root of 926777658 to the nearest integer?
13
What is the square root of 473377738 to the nearest integer?
21757
What is the cube root of 31108213 to the nearest integer?
315
What is 130871429 to the power of 1/2, to the nearest integer?
11440
What is the square root of 1127496 to the nearest integer?
1062
What is the square root of 2438138292 to the nearest integer?
49378
What is 184219086 to the power of 1/2, to the nearest integer?
13573
What is the cube root of 1492736917 to the nearest integer?
1143
What is 1412546968 to the power of 1/3, to the nearest integer?
1122
What is 437317117 to the power of 1/2, to the nearest integer?
20912
What is 1266623598 to the power of 1/3, to the nearest integer?
1082
What is 9281871184 to the power of 1/3, to the nearest integer?
2102
What is the square root of 44149841 to the nearest integer?
6645
What is the cube root of 1745136587 to the nearest integer?
1204
What is the cube root of 106282297 to the nearest integer?
474
What is 108558871 to the power of 1/6, to the nearest integer?
22
What is the third root of 114468146 to the nearest integer?
486
What is the cube root of 588778382 to the nearest integer?
838
What is the ninth root of 1901277457 to the nearest integer?
11
What is the cube root of 1310593637 to the nearest integer?
1094
What is 1191141681 to the power of 1/2, to the nearest integer?
34513
What is the eighth root of 970641598 to the nearest integer?
13
What is the cube root of 1013217173 to the nearest integer?
1004
What is 68601735 to the power of 1/6, to the nearest integer?
20
What is the square root of 1288240862 to the nearest integer?
35892
What is the cube root of 6402186894 to the nearest integer?
1857
What is the third root of 20286258 to the nearest integer?
273
What is 89174851 to the power of 1/2, to the nearest integer?
9443
What is the seventh root of 126106094 to the nearest integer?
14
What is the third root of 91427555 to the nearest integer?
450
What is the third root of 347404027 to the nearest integer?
703
What is the seventh root of 47620390 to the nearest integer?
12
What is 31916866 to the power of 1/2, to the nearest integer?
5650
What is 676303779 to the power of 1/7, to the nearest integer?
18
What is the fourth root of 127528851 to the nearest integer?
106
What is 450154486 to the power of 1/7, to the nearest integer?
17
What is 72091967 to the power of 1/9, to the nearest integer?
7
What is 472528309 to the power of 1/2, to the nearest integer?
21738
What is 133982328 to the power of 1/10, to the nearest integer?
6
What is 570754599 to the power of 1/3, to the nearest integer?
830
What is 165726091 to the power of 1/8, to the nearest integer?
11
What is the eighth root of 36478933 to the nearest integer?
9
What is the cube root of 18044983 to the nearest integer?
262
What is the square root of 143795719 to the nearest integer?
11991
What is the square root of 532368233 to the nearest integer?
23073
What is the third root of 178158607 to the nearest integer?
563
What is the fourth root of 232646629 to the nearest integer?
124
What is the cube root of 4965888558 to the nearest integer?
1706
What is 91799799 to the power of 1/7, to the nearest integer?
14
What is 3466880518 to the power of 1/9, to the nearest integer?
11
What is 1073474855 to the power of 1/10, to the nearest integer?
8
What is the tenth root of 275835825 to the nearest integer?
7
What is the third root of 3454476003 to the nearest integer?
1512
What is 694304374 to the power of 1/2, to the nearest integer?
26350
What is the cube root of 2499282 to the nearest integer?
136
What is 34490125 to the power of 1/8, to the nearest integer?
9
What is the cube root of 108595464 to the nearest integer?
477
What is the ninth root of 254444695 to the nearest integer?
9
What is the square root of 78745982 to the nearest integer?
8874
What is 40380797 to the power of 1/4, to the nearest integer?
80
What is the square root of 6578643232 to the nearest integer?
81109
What is 26787950 to the power of 1/5, to the nearest integer?
31
What is 311067373 to the power of 1/3, to the nearest integer?
678
What is 4661951458 to the power of 1/2, to the nearest integer?
68278
What is the third root of 663347503 to the nearest integer?
872
What is the square root of 6439774 to the nearest integer?
2538
What is the eighth root of 2105987246 to the nearest integer?
15
What is the sixth root of 312610446 to the nearest integer?
26
What is 2775971642 to the power of 1/4, to the nearest integer?
230
What is the third root of 615937709 to the nearest integer?
851
What is the square root of 26940785 to the nearest integer?
5190
What is the square root of 2047878878 to the nearest integer?
45253
What is 37511228 to the power of 1/3, to the nearest integer?
335
What is 56475416 to the power of 1/2, to the nearest integer?
7515
What is the square root of 318454588 to the nearest integer?
17845
What is the cube root of 26755609 to the nearest integer?
299
What is 926873409 to the power of 1/7, to the nearest integer?
19
What is 927800510 to the power of 1/3, to the nearest integer?
975
What is the cube root of 3109135512 to the nearest integer?
1460
What is 78171129 to the power of 1/5, to the nearest integer?
38
What is the fourth root of 63178051 to the nearest integer?
89
What is the cube root of 53914640 to the nearest integer?
378
What is the ninth root of 5273742713 to the nearest integer?
12
What is 276331862 to the power of 1/3, to the nearest integer?
651
What is the square root of 2300009253 to the nearest integer?
47958
What is the eighth root of 47797481 to the nearest integer?
9
What is the square root of 632942809 to the nearest integer?
25158
What is 163820905 to the power of 1/9, to the nearest integer?
8
What is 279578118 to the power of 1/2, to the nearest integer?
16721
What is 31118285 to the power of 1/2, to the nearest integer?
5578
What is 589378988 to the power of 1/2, to the nearest integer?
24277
What is the third root of 506644259 to the nearest integer?
797
What is 25156493 to the power of 1/7, to the nearest integer?
11
What is 5366371692 to the power of 1/6, to the nearest integer?
42
What is the square root of 262345698 to the nearest integer?
16197
What is the tenth root of 17054812 to the nearest integer?
5
What is the cube root of 7194836679 to the nearest integer?
1931
What is 290411962 to the power of 1/3, to the nearest integer?
662
What is the third root of 3841308288 t
|
{
"pile_set_name": "DM Mathematics"
}
|
e the prime factors of 933937172?
2, 7, 19, 23, 127, 601
List the prime factors of 799228085.
5, 159845617
List the prime factors of 313697400.
2, 3, 5, 522829
What are the prime factors of 132264506?
2, 11, 211, 28493
What are the prime factors of 407943467?
407943467
List the prime factors of 56577576.
2, 3, 11, 214309
What are the prime factors of 2685938975?
5, 241, 445799
List the prime factors of 45844564.
2, 11461141
What are the prime factors of 617416952?
2, 77177119
What are the prime factors of 80998937?
79, 1025303
What are the prime factors of 2193824998?
2, 43, 25509593
List the prime factors of 5358949.
971, 5519
List the prime factors of 493055867.
493055867
List the prime factors of 4695058.
2, 53, 44293
List the prime factors of 549341667.
3, 7, 859, 10151
List the prime factors of 46913317.
11, 4264847
What are the prime factors of 242801650?
2, 5, 7, 13, 17, 43, 73
List the prime factors of 37786130.
2, 5, 29, 4493
What are the prime factors of 219645968?
2, 13727873
What are the prime factors of 457281879?
3, 152427293
List the prime factors of 1755037824.
2, 3, 4570411
What are the prime factors of 3067136628?
2, 3, 29, 241, 36571
What are the prime factors of 68242335?
3, 5, 7, 17, 38231
List the prime factors of 1269595508.
2, 317398877
What are the prime factors of 35505636?
2, 3, 2958803
List the prime factors of 41521039.
7, 67, 223, 397
List the prime factors of 483299376.
2, 3, 7, 643, 2237
List the prime factors of 253866282.
2, 3, 283, 307, 487
List the prime factors of 197554786.
2, 11, 13, 29, 23819
What are the prime factors of 1441138494?
2, 3, 113, 409, 5197
List the prime factors of 168471793.
7, 24067399
List the prime factors of 1363841823.
3, 454613941
What are the prime factors of 28941470?
2, 5, 1117, 2591
What are the prime factors of 16510812?
2, 3, 1375901
What are the prime factors of 1348241832?
2, 3, 7, 31, 86293
List the prime factors of 891738647.
19, 46933613
List the prime factors of 1960294437.
3, 97, 883, 2543
List the prime factors of 95532109.
95532109
List the prime factors of 74609698.
2, 103, 373, 971
What are the prime factors of 35928447?
3, 211, 269
What are the prime factors of 380590411?
380590411
List the prime factors of 23185085.
5, 7, 11, 1229
What are the prime factors of 1607319907?
521, 3085067
List the prime factors of 1616104290.
2, 3, 5, 53870143
What are the prime factors of 5499995860?
2, 5, 929, 296017
List the prime factors of 65206569.
3, 21735523
What are the prime factors of 192933523?
103, 1873141
What are the prime factors of 25639087?
233, 110039
What are the prime factors of 87687766?
2, 41, 1069363
List the prime factors of 406958691.
3, 135652897
What are the prime factors of 626125401?
3, 11, 1997, 3167
What are the prime factors of 822174910?
2, 5, 17, 73, 97, 683
List the prime factors of 132475868.
2, 7, 4731281
List the prime factors of 1879395306.
2, 3, 79, 191, 20759
List the prime factors of 103925410.
2, 5, 43, 241687
What are the prime factors of 158344776?
2, 3, 31, 61, 1163
What are the prime factors of 541881594?
2, 3, 30104533
What are the prime factors of 349870286?
2, 174935143
List the prime factors of 1264899796.
2, 316224949
List the prime factors of 5265112284.
2, 3, 29, 37, 136303
What are the prime factors of 2202702093?
3, 37, 97, 7577
What are the prime factors of 399330553?
6779, 58907
What are the prime factors of 16741004?
2, 7, 29, 53, 389
List the prime factors of 55549198.
2, 19, 1461821
What are the prime factors of 3380520633?
3, 7, 29, 792991
List the prime factors of 2876472029.
17, 6337, 26701
What are the prime factors of 64010944?
2, 1000171
List the prime factors of 3847346.
2, 167, 11519
List the prime factors of 868213812.
2, 3, 439, 164809
What are the prime factors of 76265920?
2, 5, 238331
What are the prime factors of 85811949?
3, 71, 134291
What are the prime factors of 5053700?
2, 5, 97, 521
List the prime factors of 32583231.
3, 257, 14087
What are the prime factors of 51066418?
2, 13, 1964093
List the prime factors of 95446762.
2, 953, 50077
What are the prime factors of 115364142?
2, 3, 17, 125669
What are the prime factors of 86764308?
2, 3, 193, 37463
List the prime factors of 1812669219.
3, 373, 179989
What are the prime factors of 91690721?
29, 3161749
What are the prime factors of 157716954?
2, 3, 101, 86753
What are the prime factors of 257900735?
5, 51580147
What are the prime factors of 326038636?
2, 7, 11, 1058567
What are the prime factors of 14584887?
3, 540181
What are the prime factors of 120313539?
3, 17, 262121
List the prime factors of 2704194448.
2, 83, 1117, 1823
What are the prime factors of 303559051?
457, 664243
List the prime factors of 80175571.
7, 11453653
What are the prime factors of 5032395841?
11, 19, 24078449
List the prime factors of 376825912.
2, 103, 229, 1997
What are the prime factors of 62767804?
2, 11, 1426541
List the prime factors of 25263394.
2, 13, 17, 61, 937
List the prime factors of 23310142.
2, 29, 53, 7583
What are the prime factors of 3546943553?
101, 113, 310781
List the prime factors of 39121993.
337, 116089
List the prime factors of 3645974246.
2, 1822987123
What are the prime factors of 41388226?
2, 11, 73, 25771
List the prime factors of 629990043.
3, 197, 1065973
List the prime factors of 58659478.
2, 47, 624037
What are the prime factors of 2139506214?
2, 3, 1033, 345193
List the prime factors of 43355743.
4241, 10223
List the prime factors of 47420906.
2, 13, 137, 13313
What are the prime factors of 151383522?
2, 3, 47, 179, 2999
List the prime factors of 19076799.
3, 7, 908419
List the prime factors of 146978293.
7, 11, 29, 9403
What are the prime factors of 1457228149?
13, 131, 855683
List the prime factors of 4377649312.
2, 653, 209497
List the prime factors of 597750746.
2, 298875373
What are the prime factors of 506700254?
2, 137, 1849271
List the prime factors of 25270090.
2, 5, 2527009
What are the prime factors of 1748728776?
2, 3, 241, 463, 653
List the prime factors of 5841352591.
11909, 490499
What are the prime factors of 314591370?
2, 3, 5, 97, 108107
What are the prime factors of 83396551?
7, 23, 517991
What are the prime factors of 5470630032?
2, 3, 7, 883, 18439
List the prime factors of 161380181.
161380181
List the prime factors of 2092489516.
2, 13, 59, 682037
What are the prime factors of 90916806?
2, 3, 15152801
List the prime factors of 6682606457.
1499, 4458043
List the prime factors of 108188290.
2, 5, 7, 1545547
List the prime factors of 86680773.
3, 17, 20983
What are the prime factors of 230550644?
2, 73, 789557
List the prime factors of 61898476.
2, 1223, 12653
What are the prime factors of 51363385?
5, 251, 40927
What are the prime factors of 3513181970?
2, 5, 1123, 312839
List the prime factors of 94288569.
3, 23, 103, 13267
List the prime factors of 199384900.
2, 5, 11, 13, 73, 191
What are the prime factors of 322443960?
2, 3, 5, 2687033
What are the prime factors of 84143438?
2, 17, 19, 130253
What are the prime factors of 122997343?
7, 409, 42961
List the prime factors of 413459379.
3, 89, 516179
List the prime factors of 280144644.
2, 3, 13, 31, 53, 1093
List the prime factors of 836024011.
17, 49177883
List the prime factors of 63268174.
2, 157, 201491
List the prime factors of 47393261.
47393261
What are the prime factors of 76408508?
2, 11, 1736557
What are the prime factors of 1331878177?
7, 190268311
List the prime factors of 151339482.
2, 3, 7, 71, 5639
List the prime factors of 54861411.
3, 11, 1662467
List the prime factors of 49087027.
11, 4462457
What are the prime factors of 3864854358?
2, 3, 17, 23, 183047
What are the prime factors of 473759308?
2, 11, 10767257
List the prime factors of 547023287.
547023287
What are the prime factors of 830607932?
2, 7, 11, 2696779
What are the prime factors of 67765258?
2, 11, 47, 65537
List the prime factors of 624171848.
2, 3083, 25307
List the prime factors of 39801759.
3, 233, 56941
List the prime factors of 49932034.
2, 23, 709, 1531
List the prime factors of 7792540.
2, 5, 7, 55661
What are the prime factors of 2762648446?
2, 3229, 427787
What are the prime factors of 455707784?
2, 7, 41, 198479
What are the prime factors of 981700521?
3, 327233507
What are the pri
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{
"pile_set_name": "DM Mathematics"
}
|
arrange -2*v**2 + 2*v**2 - 10*v**4 + (-12*v + 0*v + 5*v)*(-5 + 5 + v**3) to k + f*v**4 + l*v**2 + p*v + z*v**3 and give k.
0
Rearrange -3*b + 5*b - 3*b + (-2*b + 3*b + 3*b)*(-3 + 3 - 1) + b - 2 - 2*b + 3*b to m*b + f and give m.
-3
Rearrange 39*z**2 - 86*z**2 + 10*z**2 - 47*z**2 to r*z**2 + u*z + j and give r.
-84
Rearrange w**2 + 6*w - 4*w - 2*w**4 - 3*w**3 + 6*w + 2*w**3 to q*w + v*w**4 + k*w**2 + y*w**3 + p and give k.
1
Express (-l**2 + l**2 + 2*l**2)*((-3 + 4 - 4)*(3*l - l - 4*l) + 5 - 5 - 3*l) as a*l + w + m*l**3 + p*l**2 and give m.
6
Express (-3*q - 2*q - q)*(3 - 4 + 2) + (0 + 0 + q)*(4 - 6 + 4) + 0*q + 0*q - 3*q as y + x*q and give x.
-7
Rearrange z**2 - 2*z**4 + 2*z + 5*z - 3 - 5*z to a*z + m*z**4 + p*z**3 + f*z**2 + i and give a.
2
Express (28*a**2 + 215*a - 215*a)*(3 - a**2 - 3) + a**2 - a**4 - 3*a**4 + 5*a**4 in the form r*a**3 + z + l*a**2 + o*a + h*a**4 and give l.
1
Express (-3 + 5 - 4 + (0 + 4 - 5)*(-2 + 2 + 1) - 4 + 0 + 2 + 3 - 1 + 0)*(-10*f + 10*f + 12*f**2) in the form j + b*f**2 + g*f and give b.
-36
Rearrange -q - 19*q**3 + 17*q**3 - q**2 - 3*q + 5*q to g*q + v*q**3 + j + k*q**2 and give v.
-2
Rearrange (3 + 0 - 4)*(361 - 361 + 77*o) to z*o + f and give z.
-77
Rearrange -2*q + q**2 - 7*q**3 + q + 2*q + 3*q**4 + 9*q**3 to t*q**3 + v*q**2 + u*q**4 + y*q + g and give v.
1
Rearrange 7*d**2 + 2*d**2 - 5 + 0 + 6 to the form p*d**2 + t + n*d and give t.
1
Rearrange -3*j + 4*j - 3*j + (-1 - 3 + 5)*(5*j - 6*j + 0*j) + 2*j + 2*j - 5*j + (1 - 2 + 2)*(-2*j + 5*j - j) - j + 0 + 0 to the form m + a*j and give a.
-3
Rearrange -9*g - 5*g + g**2 - 18*g**3 + 13*g + 5*g**3 + 1 to a*g + n + l*g**2 + o*g**3 and give l.
1
Express (-1 + 3*w + 1)*(0 + 2 - 1)*(-2*w + 0*w + 3*w) in the form v*w**2 + i*w + j and give v.
3
Express -b**4 + 0*b**3 + 5*b**2 + 1 - b**2 + 3*b**3 - 2*b**3 as c*b**4 + i*b + f*b**3 + y*b**2 + r and give y.
4
Rearrange -915*o + 913*o - 6*o**2 - 12*o**2 to s + f*o + t*o**2 and give f.
-2
Express 1018 - 23*q - 1018 in the form h + r*q and give r.
-23
Rearrange 0*a**2 - a**3 + 6*a + 2*a**2 + 2*a - 7*a to the form v*a + j*a**2 + u*a**3 + w and give j.
2
Express (4*j**4 + j**3 - j**3)*(-4 + 0 - 3) - 2*j**3 - j**4 + 2*j**3 as d + k*j**3 + m*j**4 + u*j + p*j**2 and give m.
-29
Rearrange 5*n - 4*n + n - 11 + 9 to the form j + i*n and give j.
-2
Rearrange 19*p**2 + 35 - 35 + p to the form f*p + q*p**2 + l and give q.
19
Express (-j + 0*j - 5*j)*(-2 - 2 + 3)*(3 - 2*j - 3) in the form q + r*j + h*j**2 and give h.
-12
Express -3*i**2 - 2 + 4*i - 2*i + 0*i in the form y + m*i + k*i**2 and give m.
2
Rearrange (-2*r + r + 0*r)*(-3*r - 3*r + 4*r) + (-97 - 6*r + 97)*(5*r - 3*r + 0*r) to the form t*r**2 + j*r + z and give t.
-10
Express 614 - y**2 - 614 - 3*y**4 + y**4 + 2*y**4 - 2*y**4 + (-2*y**3 + 0*y**3 + 3*y**3)*(y + 5 - 5) as b*y**4 + s*y**3 + i*y**2 + f*y + w and give b.
-1
Express (3 + 3 - 4)*(23*u + 20*u - 33*u)*(1 - 3 - 1) as i*u + m and give i.
-60
Rearrange (-1 - 2 + 4)*(-13 + 3*q + 13) to l*q + s and give l.
3
Rearrange (-2 + 2 - 2*p)*(-5 + 5 - 2*p) - p**2 - 3*p**2 + 2*p**2 + 2 - p**2 - 2 + 2*p + 21 + p**2 + 19 - 2 to the form q*p + k*p**2 + c and give q.
2
Express (-2 + 0 + 1)*(-5 - 1 - 114*k + 115*k)*(-2*k + 2*k + 3*k) in the form z + j*k**2 + x*k and give j.
-3
Express (28*d**3 + 2*d**3 + 10*d**3)*(-d + 3*d - 3*d) as j + x*d**2 + y*d**3 + g*d**4 + s*d and give g.
-40
Rearrange -s - 6*s + 2*s - 3*s**3 + 2*s**3 + 0*s**2 + 0*s**2 + (s**2 - 2*s + 2*s)*(-s - 2*s + 0*s) to m*s + a*s**3 + x*s**2 + q and give m.
-5
Express h**2 + 0*h**3 + 5*h**3 - 4*h**3 - h in the form l*h**3 + y*h**2 + p + x*h and give l.
1
Express -4*t**2 + 40*t - 808*t**3 + 807*t**3 + 2*t**2 as q*t + s*t**3 + r*t**2 + z and give s.
-1
Rearrange (-2*f**3 - 2*f + 2*f)*(-2*f - 6*f + 2*f + (-3 - 3 + 4)*(-2 - 2*f + 2) - 3*f - f + 2*f) to g*f**2 + j*f**3 + u + p*f + w*f**4 and give w.
8
Rearrange (68*a + 1 + 37*a - 7*a)*(2 - 4 + 3) to the form p*a + g and give g.
1
Rearrange 2*y + 4*y + 4 - 1 - 2 to the form i*y + l and give l.
1
Express (0*r**2 + r**2 - 3*r**2)*(-5527*r + 10 - 7 + 5439*r) in the form m*r**2 + l + c*r + u*r**3 and give u.
176
Rearrange -r**2 - 2*r**3 - 5*r**2 + 5*r**2 + (0*r + 0*r - 2*r)*(23*r**2 + 13*r - 13*r) to the form n*r + h*r**3 + f*r**2 + p and give f.
-1
Express (-2*p**3 - 2 + 2)*(-4*p + 4*p + 5*p) as j*p + u + y*p**3 + n*p**4 + w*p**2 and give n.
-10
Express -4*j**2 + 0*j**2 + 2*j**2 + 0*j**2 + 2 as z*j**2 + o*j + r and give r.
2
Express -4*y + 2*y + 0*y in the form i + s*y and give s.
-2
Express ((-2 - 2 + 3)*(-1 + 4 - 2) + 3 + 3 - 4)*(-6*x + 2*x + x - 1) - 10*x - 14*x + 3*x in the form y*x + f and give y.
-24
Rearrange 0*z**2 - 9*z + 2 - 4*z**2 + 9*z to the form a*z**2 + y + j*z and give y.
2
Rearrange (46*s + 52*s - 72*s)*(-3*s - 2*s + s) - 3*s**2 + 3*s**2 - s + 2*s**2 to u*s**2 + h + p*s and give p.
-1
Rearrange 2*w**3 + 0*w - w**3 - 2*w**4 + w**4 + 2*w + 2 to g*w**4 + n*w + z*w**2 + r*w**3 + c and give r.
1
Express -2*u + 0*u - 2*u + (-1 - 2 + 5)*(0*u - u + 5*u) + (2 - 4 + 0)*(-u - 2 + 2) in the form f*u + j and give f.
6
Rearrange -14*p - 9*p - 20*p to the form t*p + l and give t.
-43
Rearrange 62*l**4 + 7*l + 2 + 0 - 64*l**4 to g*l**2 + y*l**4 + u*l**3 + q + r*l and give q.
2
Rearrange 2*g**3 + 15*g**2 - 2 + 0*g - g - 16*g**2 + 0*g to n*g**2 + o*g**3 + h + f*g and give h.
-2
Rearrange -2*w**2 + 7 + 4 + w**3 - 8 + 3 to the form d*w**2 + t*w + k + z*w**3 and give k.
6
Rearrange 36 - 38 - 19*v**2 + 0*v**2 to the form p + j*v + n*v**2 and give p.
-2
Rearrange 10*s**4 - 2 - 3*s**3 - 11*s + s**3 + 12*s + 0*s**3 to the form w*s + y*s**4 + i + t*s**2 + l*s**3 and give l.
-2
Rearrange (8*h**2 - 3*h**2 - 9120 + 9135)*((-3*h + 5*h - h)*(-4*h + h + 2*h) + 2*h - 2*h - h**2) to y*h + k + a*h**3 + i*h**4 + z*h**2 and give z.
-30
Express -4 - 14*j**4 + j**2 - 2*j**3 + 2 + 12*j**4 as p*j + y*j**3 + d*j**4 + f + h*j**2 and give d.
-2
Rearrange 13*o**2 + 0*o + o**2 + 0*o to the form b*o + x + n*o**2 and give n.
14
Rearrange 2 - 8*t**2 + 23*t**2 - 9*t**2 to d + u*t**2 + a*t and give u.
6
Rearrange -6*d**2 + d + 2*d**3 - 3*d**3 + 8*d**2 + 0 + 1 to b*d + n*d**2 + u + w*d**3 and give n.
2
Rearrange p**2 + 4 + 2*p**3 + 9*p + 18*p - 2 to s*p**3 + v*p**2 + c + g*p and give s.
2
Rearrange (2*h + 2*h - 7*h + (0 + 3 - 1)*(4 - 4 - 2*h) + 0*h - h + 3*h)*(-5*h**2 + 2*h**2 + h**2) to b*h + s*h**3 + j*h**2 + c and give s.
10
Rearrange (-5*c + 0*c - 2*c)*(-1 + 7*c**3 + 1) + c**4 + 2*c**4 - 5*c**4 + 2*c**4 + 2*c**2 - 2*c**2 to the form m*c**4 + n + w*c**2 + x*c**3 + z*c and give m.
-49
Express (3 - 5 + 3)*(2 + 3 - 6)*(3*s - 4*s - 7*s) - 3 + 1 - 2*s + 1 as r + o*s and give r.
-1
Express 0*o**2 + 36 - 9 + o**2 in the form n*o + p*o**2 + w and give w.
27
Express -16*r**2 + 9*r - 8*r - 16 + 16 - r**4 in the form p*r + v*r**3 + c + z*r**2 + l*r**4 and give v.
0
Express 2*s**3 - s**2 + 0*s**2 + 2*s**3 in the form n + a*s**3 + i*s + u*s**2 and give u.
-1
Express (-8*y + 1903 - 39*y - 1904)*(2*y + 2*y - 3*y) in the form j*y**2 + x*y + d and give j.
-47
Rearrange f - f**4 - f + (-7*f**3 + f**3 + 11*f**3)*(6*f + 0*f + 6*f) + 2*f**4 - 3*f**3 + 3*f**3 to the form p*f**4 + r + u*f**2 + x*f**3 + t*f and give p.
61
Rearrange (-2*j - j + 2*j)*(8*j**2 + 38*j**2 - 2*j**2)*(-j + j + j) to the form a*j**4 + r + p*j**3 + l*j**2 + q*j and give a.
-44
Express -9*h**3 - 12 + 23*h**3 - 11*h**3 in the form f*h**2 + a*h + k + d*h**3 and give k.
-12
Rearrange -6*p + 16*p - 4*p - 7*p to the form n*p + w and give n.
-1
Express 4 - 2*f**3 - 2*f**4 - 2*f**3 + f - 2*f**2 - 2 + 10*f**3 as d*f**4 + o + m*f**3 + j*f + t*f**2 and give d.
-2
Express -z**4 + 3*z**4 - z**3 + 2*z**3 - 7*z**4 + 4 in the form v*z**4 + t*z + k*z**2 + b*z**3 + h and give h.
4
Express -2 + 2 - 2*i**2 + (-7 + 10 - 8)*(-3 + i**2 + 3) - 5*i**2 - i**2 + 5*i**2 as j*i + l + o*i**2 and give o.
-8
Express -1 + u**3 + 1 + (-u + 0*u - u)*(u + 2*u**2 - u) - 3 - u**3 + 3 - u - 12*u + 7*u**3 - 9*u**3 as d + b*u + x*u**3 + r*u**2 and give b.
-13
Express 49*c - 40*c + 63*c as t*c + m and give t.
72
Rearrange -2*f + 9*f - 5 - 3*f - 9*f + f**2 to the form d*f**2 + a + u*f and give d.
1
Rearrange 3 - 2*o**3 + o**4 - 5 - 7*o + 5*o to the form d*o**4 + p + f*o + w*o**3 + j*o**2 and give p.
-2
Express (-6 - 1 + 2)*(-2*j + 7*j - 3*j)*(0 + 0 - j**2 +
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{
"pile_set_name": "DM Mathematics"
}
|
t z(y) = 2*l(y) + 6*t(y). What is the third derivative of z(m) wrt m?
60336*m - 12
Let p(g) = 3459*g**2 + 15*g + 21. Let r(i) = i. Let k(o) = p(o) + r(o). Find the second derivative of k(q) wrt q.
6918
Suppose 0 = -3*c + 3*g - 10 + 4, -5*c - g + 20 = 0. Find the third derivative of -t - 42*t**2 - 84*t**3 - 31*t**c + 82*t**2 wrt t.
-690
Let g(d) be the second derivative of 6*d**7/7 + 11*d**6/30 + 40*d**3 + 2*d**2 - 8390*d. Find the second derivative of g(x) wrt x.
720*x**3 + 132*x**2
Let l(s) = -5247*s**2 + 587*s - 5. Let q(h) = 5245*h**2 - 586*h + 4. Let i(f) = -4*l(f) - 5*q(f). What is the second derivative of i(w) wrt w?
-10474
Let g(b) be the first derivative of 51*b**6 - b**5/5 + 2*b**3/3 - 608*b**2 - 4083. What is the second derivative of g(n) wrt n?
6120*n**3 - 12*n**2 + 4
Let h(p) be the first derivative of -956*p**6/3 + 47*p**2/2 - 20*p + 1971. Find the second derivative of h(r) wrt r.
-38240*r**3
Find the third derivative of 216 + 76 - 65*h**2 + 1277*h**4 - 320*h**4 + 64*h**2 wrt h.
22968*h
Let y(m) be the third derivative of 125*m**7/42 + 24*m**3 + 469*m**2 + 2. Differentiate y(l) with respect to l.
2500*l**3
Let j(c) = -4*c + 6. Let f be j(-5). Find the third derivative of -f*r**2 - 5519*r - 52*r**3 + 5519*r + 1 wrt r.
-312
Differentiate 1398*r**4 + 1287*r**4 + 1104*r**4 - 406*r**4 - 929 with respect to r.
13532*r**3
Let i = -1 + 3. Suppose z + 24 = 7*z. Find the third derivative of -866*g - z*g**2 + 866*g + i*g**3 wrt g.
12
Suppose -x = -5*k - 0*x + 352, -5*x - 56 = -k. Suppose -k = -9*a + 28. Find the second derivative of 0*n - 14*n + 5*n + 3*n**2 - a*n wrt n.
6
Let b(g) = 5993*g + 3908. Let a(t) = -29966*t - 19596. Let p(u) = 3*a(u) + 14*b(u). What is the derivative of p(o) wrt o?
-5996
Let j(n) = 2*n**2 - n + 1. Let x be j(1). Suppose 3*r + x*r - 17 = 2*t, -5*t = -2*r - 10. Find the second derivative of 0*g**r - 3*g - g + 5*g - 2*g**5 wrt g.
-40*g**3
Let x(b) = -1527*b**2 + 750*b - 4. Let c(r) = 5*r**2 - r + 1. Let v(l) = -4*c(l) - x(l). Find the second derivative of v(y) wrt y.
3014
Let i(p) be the third derivative of -p**6/60 - 1567*p**5/30 + p**4/12 - 10909*p**3/6 + 4*p**2 + p - 36. What is the derivative of i(q) wrt q?
-6*q**2 - 6268*q + 2
Let q be 1/(157/(-79) - -2). Let s = 84 - q. Find the third derivative of -4*m**2 + s*m**3 + 0*m**3 + 20*m**6 - 5*m**3 wrt m.
2400*m**3
Find the second derivative of 61311*j - 123025*j + 58391*j - 7024*j**2 wrt j.
-14048
Let s(g) = -231*g**4 - 4*g**2 - 114. Let a(l) = -231*l**4 - 4*l**2 - 112. Let k(t) = 10*a(t) - 9*s(t). What is the third derivative of k(m) wrt m?
-5544*m
What is the second derivative of 1 + 145*t**5 + 1214*t + 552*t**3 + 26*t**5 - 167*t**5 wrt t?
80*t**3 + 3312*t
Let i(g) be the second derivative of 35/6*g**3 + 0 - 1/15*g**6 + 0*g**5 - 73*g - 47/2*g**2 + 0*g**4. Differentiate i(a) with respect to a.
-8*a**3 + 35
Let s(l) = 6*l**4 + l**2 + l + 2. Let p(d) = -269*d**4 + 2*d**3 - 4*d**2 - 27*d - 7. Let y(w) = p(w) + 3*s(w). What is the third derivative of y(v) wrt v?
-6024*v + 12
Let l(z) = 50*z + 148. Let s(g) = -2*g - 1. Let w(m) = 5*m**2 - 19*m + 11. Let k be w(3). Let q(a) = k*l(a) - 2*s(a). What is the derivative of q(t) wrt t?
-46
Let z(j) be the third derivative of 0*j**4 + 19/24*j**6 - 2 + 0*j**3 + 0*j + 15*j**2 + 11/3*j**5. Find the third derivative of z(f) wrt f.
570
Let p(v) be the second derivative of 149*v**7/7 - 6*v**3 + 9*v**2 + 9*v + 11. Find the second derivative of p(t) wrt t.
17880*t**3
Let q(y) be the third derivative of -631*y**8/336 - 3*y**5/20 - 23*y**3/3 + 948*y**2. Find the third derivative of q(h) wrt h.
-37860*h**2
Let i(b) = b**4 - 2*b**3 - b + 1. Let m(s) = -58*s**4 + 10*s**3 + 307 + 6*s - 11*s + 2*s + 7*s. Let z(c) = -4*i(c) - m(c). Differentiate z(o) wrt o.
216*o**3 - 6*o**2
Suppose -4*r = -5*g + 63 - 12, 3*r - 2 = -2*g. Suppose 3*u - g*u + 76 = 0. What is the second derivative of -8*y + u*y**3 - 8*y**3 - 4*y**3 wrt y?
42*y
Let l(h) = 2189*h**3 - 10*h**2 - 2*h - 2. Let a(n) = 10946*n**3 - 52*n**2 - 11*n - 13. Let p(v) = 2*a(v) - 11*l(v). What is the third derivative of p(f) wrt f?
-13122
Differentiate 1116*o**4 - 1566 + 1071*o**4 - 1355 + 981*o**4 wrt o.
12672*o**3
Let a be 16*-3*3/(-36). Suppose -a*v + 10 = 2. Differentiate 38*q**2 + q - 61*q**v - q - 20 wrt q.
-46*q
Let c(l) be the first derivative of 3029*l**4/2 + 3922*l - 2431. Differentiate c(j) wrt j.
18174*j**2
Let d(n) be the first derivative of -1204*n**3/3 + n**2 - 413*n - 106. What is the second derivative of d(q) wrt q?
-2408
Let q(m) = -9*m**4 - 64*m**3 - 4*m**2 - 2009. Let n(g) = -10*g**4 - 63*g**3 - 5*g**2 - 2006. Let p(z) = -4*n(z) + 5*q(z). What is the derivative of p(a) wrt a?
-20*a**3 - 204*a**2
Let l be (17/102)/((-16)/(-192)). Let n(t) be the first derivative of 0*t**4 + 0*t + t**l - 9/5*t**5 - 11 + 0*t**3. What is the second derivative of n(j) wrt j?
-108*j**2
Let p(h) = -17*h**3 - 6*h**2 - 1957*h + 7. Let l(k) = 9*k**3 + 3*k**2 + 979*k - 3. Let w(o) = 7*l(o) + 3*p(o). What is the second derivative of w(x) wrt x?
72*x + 6
Let p(x) = 16*x + 8. Let r be p(-5). Let l = r + 77. Differentiate -12*u**4 - l*u**4 + 14 + 2*u**4 with respect to u.
-60*u**3
Let y(l) be the first derivative of 2303*l**5/5 + 151*l**3/3 - l**2/2 + 1348. Find the third derivative of y(n) wrt n.
55272*n
Let h(s) be the first derivative of 125*s**3/3 + 7*s**2 - 7522*s + 6069. What is the derivative of h(n) wrt n?
250*n + 14
Suppose -5*j - 30 = -10*j. Suppose b + 2*n = 4, -2*b + j*b - 16 = 2*n. Find the third derivative of 18*k**b + 0*k**2 + 5*k**2 - 14*k**2 wrt k.
432*k
What is the second derivative of -143*q**3 + 262 - 1662*q**3 - 8*q + 10*q wrt q?
-10830*q
Let x(j) be the first derivative of -j**2 - 3*j - 116/3*j**3 - 9. Find the second derivative of x(q) wrt q.
-232
Differentiate -117*a - 38 + 2*a**4 - 1204 + 4*a**2 + 363*a**3 - 4*a**2 + 115*a wrt a.
8*a**3 + 1089*a**2 - 2
Let m(n) be the second derivative of 1429*n**5/20 + n**4/6 + 1667*n**3/6 + 592*n. What is the third derivative of m(g) wrt g?
8574
Let z(p) be the second derivative of 308*p**6/15 + 57*p**2/2 + 15*p + 46. What is the derivative of z(s) wrt s?
2464*s**3
Let g be 2/4 + 42*11/132. Let t(l) be the second derivative of 7*l + 0*l**3 + 0 + 3/2*l**2 + 19/12*l**g. Differentiate t(j) with respect to j.
38*j
Let o(d) = 11*d**3 - d**2 - 3*d + 3. Let z be o(2). Differentiate 114*t + z*t - 75 - 61*t wrt t.
134
Let g(l) be the second derivative of 11*l**7/21 + l**5/20 + 55*l**4/12 + 13*l**3 - 17*l**2 + 4211*l - 1. What is the second derivative of g(j) wrt j?
440*j**3 + 6*j + 110
Let n be 272/112 + (-3)/7. Suppose 3*k - b - n*b = 18, -2 = k - 5*b. What is the third derivative of -k*t**6 + 23*t**2 + 11*t**6 + 19*t**6 wrt t?
2640*t**3
Let x = -1 + 5. Let b(f) be the first derivative of 13*f + 17 - 38*f**x + 75*f**4 - 41*f**4. Differentiate b(d) with respect to d.
-48*d**2
Let q(f) be the third derivative of 151*f**7/15 - 647*f**3/2 + 25*f**2 + 2*f. What is the derivative of q(d) wrt d?
8456*d**3
Let n(i) = -6994*i + 7033. Let r(t) = 3499*t - 3518. Let u(z) = 3*n(z) + 7*r(z). Differentiate u(g) wrt g.
3511
Suppose 0 = 8*r - 7 - 97. Find the second derivative of 7*c + 34*c**3 + r + 11*c - 16*c + c**2 + 59 wrt c.
204*c + 2
Let f(t) be the second derivative of 1195*t**4/12 - t**3/3 + 8233*t**2/2 + 169*t + 21. Differentiate f(n) wrt n.
2390*n - 2
Let b(m) = 218*m + 197. Let n(a) be the second derivative of -5*a**3/6 + a**2/2 - 95*a. Let j(r) = b(r) - n(r). What is the first derivative of j(c) wrt c?
223
Suppose m = 3, 2*m = z - 0*m + 4. What is the third derivative of 61*h**z + 1 - 46*h**3 + 66*h**2 - 2 - 111*h**2 wrt h?
-276
Let o(n) be the second derivative of n**6/10 - 3*n**5/5 + 16*n**4/3 - 2*n**2 + 1129*n. Find the third derivative of o(k) wrt k.
72*k - 72
Let w(j) = 196*j + 1. Let z be w(5). What is the first derivative of -36 + z*n - 979*n + 2*n**3 + 6*n**3 wrt n?
24*n**2 + 2
Let b(g) = g**3 - 4*g**2 + 3. Let w be b(4). Let u be (3 - 2)*w + -4 + 4. Find the second derivative of 5*j - 17*j**u - 5*j**5 + 17*j**3 wrt j.
-100*j**3
Let w be (2 - 0/(-4)) + 18. Let h be (w + 1)*-1*(-1)/3. Find the first derivative of 1 - 693*k + 693*k + 9 - h*k**3 wrt k.
-21*k**2
Suppose 77 = 13*k + 38. Find the third derivative of 25*q**2 + 36*q**3 - 19*q**3 + 74*q**
|
{
"pile_set_name": "DM Mathematics"
}
|
s positive.
q**(301/40)
Simplify (q**(1/5)*q*((q/q**(-3))/q)/q*q)/(q*q**(2/9))**(-30) assuming q is positive.
q**(613/15)
Simplify (((z/(z/(z**(-26)/z*z)))/z)/z**15)**(-8) assuming z is positive.
z**336
Simplify ((n/n**(-20))/(n*n*n/n**(-10/3)*n))/((n/(n*n**(2/71)*n))/(n/(n/(n/(n**(-1)/n)))*n)) assuming n is positive.
n**(3982/213)
Simplify (m**5/m)**11/(m**(-3)/m)**(1/13) assuming m is positive.
m**(576/13)
Simplify (i**10/(i*i**18*i))/(i/(i/(i/(i*i**(-1/3)*i))))**(-41) assuming i is positive.
i**(-112/3)
Simplify j**(-2/5)/(j**5/j)*j**9/(j/(j/(j*j**(-2/27)*j))) assuming j is positive.
j**(361/135)
Simplify (z**(-1/10)/(z*z*(z/(z/z**(4/7)))/z*z))/((z*z**11*z*z)/z**8) assuming z is positive.
z**(-607/70)
Simplify f**(-7/6)*f**(1/11)*((f**(-8)/f)/f)/f*f**(1/3) assuming f is positive.
f**(-775/66)
Simplify (o**13/o)/o*o*o/((o*o/(o*o*o**(3/13)))/o)*o**(7/3)/((o/(o**(-2/7)*o))/o*o) assuming o is positive.
o**(4444/273)
Simplify (((b*b**(3/7))/b**7)/(b**(-1/2))**(-6/17))**(-1/3) assuming b is positive.
b**(228/119)
Simplify b**(1/4)*b*b**(-11)*(b**(-4))**(-6/17) assuming b is positive.
b**(-567/68)
Simplify (((z/((z/(z*z/((z*z**(-2/37)*z)/z))*z*z)/z*z))/z)/z*z/z**(2/5))/(z/(z/((z*(z/z**(15/8)*z)/z*z)/z))*z**(1/4)*z*z) assuming z is positive.
z**(-6987/1480)
Simplify (a**(6/23))**(-6)*((a/(a**(2/7)/a))/a)**(1/45) assuming a is positive.
a**(-2245/1449)
Simplify ((w**7*w**(1/15)*w)**0)**(-2/17) assuming w is positive.
1
Simplify ((r**31/r*r*r)/((r**(3/4)*r)/r))/(r/(r/r**4)*r*r/r**(3/7)) assuming r is positive.
r**(719/28)
Simplify ((c*c**(-19))/(c/(c*(c*c*c**(3/14))/c)*c))/((c/(c*c**(7/2))*c)/c)**(2/7) assuming c is positive.
c**(-235/14)
Simplify (m**(-3/32)*m)/(m*m**(-22))*(m/(m**(-2/19)/m))**(1/44) assuming m is positive.
m**(146829/6688)
Simplify j**(-3/11)*(j*j/(j*j**(-5/7)))/j*j**17/(j*j/(j/j**9)*j*j) assuming j is positive.
j**(419/77)
Simplify ((j**12*j)/j**19)**(-7/3) assuming j is positive.
j**14
Simplify (t*t**(-7/2)*t*t)/(t*t**(-1/6))*t**(2/5)*t*t*t**(6/13) assuming t is positive.
t**(298/195)
Simplify (k**(-18/7)/k**26)/(k**(-18)*k*k**(-3/10)) assuming k is positive.
k**(-789/70)
Simplify (q**(2/3)/q)**(-28)/((q**8*q)/(q*q**(-2/9)/q)) assuming q is positive.
q**(1/9)
Simplify ((v/v**(-3/2))/(v**(1/17)*v))/(v/v**(2/23))**32 assuming v is positive.
v**(-21721/782)
Simplify ((v/v**(1/3))**(-1/9)/(((((v*v**(-1/10)*v*v)/v)/v)/v*v)/(v**(2/9)*v)))**5 assuming v is positive.
v**(67/54)
Simplify (v**9/v)**(-15/4)/(v**(-1/3))**(1/60) assuming v is positive.
v**(-5399/180)
Simplify ((o**(-9)/o)/o**(-9))**(1/6) assuming o is positive.
o**(-1/6)
Simplify ((x/((x*x**(1/20))/x))/(x*x**2))/(x**(-3/5)*x*(x**(-12)/x*x*x)/x) assuming x is positive.
x**(191/20)
Simplify ((o*o**(-2/25))/o)**(28/3)*o*o/(((((o*o**(-3/14))/o)/o)/o)/o*o)*o*o**(-2/5)/o assuming o is positive.
o**(3221/1050)
Simplify ((k*k*k/((k**(-2/13)/k*k)/k)*k*k/k**(-2/19))**(-28/9))**(-8/11) assuming k is positive.
k**(346304/24453)
Simplify (q/(q**(-4)/q))**(-13/2)*q/(q/q**12)*q**(2/9)*q assuming q is positive.
q**(-232/9)
Simplify (((x/x**(-1/14))/(x*x**7))/(((x**(-10)*x)/x*x)/x*x**(-9)))**(-46) assuming x is positive.
x**(-3887/7)
Simplify (r**(-1/3)*r)**13/((r**(1/5)*r)/(r**(-2/7)*r)) assuming r is positive.
r**(859/105)
Simplify (((c**(4/17)*c)/c)/(c**7*c))/(c*c*c/c**(-2/93)*c*c*(c**(-1/10)/c)/c) assuming c is positive.
c**(-168949/15810)
Simplify ((((y/(y/((y/y**(-6/11))/y)))/y*y)/y)/y*(y**(3/4)/y)/y)/(y*y**(-4)*y*y*y*(y/((y/(y/y**(-2/3)))/y*y))/y) assuming y is positive.
y**(-445/132)
Simplify f**7*(f*f**(7/5))/f*f*f**14*f**15 assuming f is positive.
f**(192/5)
Simplify (((c*c/(c*c/c**(-3)))/c*c)**(-20))**(-10/19) assuming c is positive.
c**(-600/19)
Simplify a**14*a**(-2/17)/a*a**(-2/11)*(a**2*a)/a assuming a is positive.
a**(2749/187)
Simplify (x**(3/2)/(x**3*x*x*x))/(x**(-2))**6 assuming x is positive.
x**(15/2)
Simplify (n/n**15*n**15*n*n)/((n*n**1)/n**(5/6)) assuming n is positive.
n**(11/6)
Simplify (r*r**13)/r*r/(r/r**(-2/35))*(r**(-1/5))**15 assuming r is positive.
r**(348/35)
Simplify (k**(-1)*(k/(k/(k/k**3)))/k*k*k*k*k**6*k*k**1)**(-2) assuming k is positive.
k**(-14)
Simplify (((w**(-1/4)*w*w)/(w**2/w*w))/(w**5/(w/(w*w/(w*w**1*w*w)))))**24 assuming w is positive.
w**(-54)
Simplify r/(r**(-13)*r)*r**(-1/14)/r*r*((r*r/(r*r**11*r))/r)/(r/(r/r**(-4/9))) assuming r is positive.
r**(173/126)
Simplify ((r*r**(-3))**45*(r/r**(-1)*r)/r*r**(-5/6)*r)**(-49) assuming r is positive.
r**(25823/6)
Simplify (((j*j**4/j)/j)/(j*j/(j/j**(1/9)))*((j**(-5)/j)/j)/j**1)**(-3/19) assuming j is positive.
j**(55/57)
Simplify (l**4/(l*(l*l**(-6)*l*l)/l))/((l*l**0)/l*l**15) assuming l is positive.
l**(-8)
Simplify (u**19*u)/u**(-11)*u**35*u*u**(-2/99) assuming u is positive.
u**(6631/99)
Simplify ((g**(3/7)*g**(2/13))/(g**(-5)/((g/g**(-3))/g)))**(-40) assuming g is positive.
g**(-31240/91)
Simplify ((g/(g/(g/g**9*g*g)*g))**(8/15))**(-44) assuming g is positive.
g**(2464/15)
Simplify q/(q*q**6)*q**(-1/2)*(q**(-3))**(-3/11) assuming q is positive.
q**(-125/22)
Simplify (n/(n*(n/n**(1/12))/n)*n)/n*(n/(n*n/(((((((n*n**(-5))/n*n)/n)/n)/n)/n*n)/n)))/n*(n**(-1/5))**(1/14) assuming n is positive.
n**(-4171/420)
Simplify ((g**(-4)*g)/g*g)**(-25)*(g**0*g)**(-17) assuming g is positive.
g**58
Simplify ((q**6/((q/(q**(-2)*q))/q))/(q**(-7)/q**(-1/11)))**(-2) assuming q is positive.
q**(-262/11)
Simplify (n**(2/11)/n*n)/n**(-3)*(n/(n*((n/(n/n**(1/13)))/n*n)/n))**22 assuming n is positive.
n**(3359/143)
Simplify ((((b/(b*b/(b/(b**(-4)*b)))*b)/b)/(b*b*b/b**0*b))**(-1))**(-1/24) assuming b is positive.
b**(-1/24)
Simplify (v*v**(-10/11))/(v**(-2/5)/v)*v**(-1/34)/(v*v/(v**(2/3)*v)) assuming v is positive.
v**(6329/5610)
Simplify y*y*y**12*y*y*y/(y/y**(-17))*(y/y**(-5/7))/y*y*y**(-10) assuming y is positive.
y**(-65/7)
Simplify (((l/(l*l**(-2/7)))**0)**(-2/17))**(-2/41) assuming l is positive.
1
Simplify ((b*b**(-2)*b)/((b*b/(b**(13/4)*b)*b)/b))/((b**(-4/3)/b)/b**(-16)) assuming b is positive.
b**(-137/12)
Simplify (x*(x*x/x**(1/9)*x*x)/x)/(x/((x*x**3)/x))*(x**12/x)/x**(1/10) assuming x is positive.
x**(1511/90)
Simplify (m/(m**(-18)*m*m)*m*m*m**17*m)/(m**(-3/4)*m*m*(m/(m*m*(m/(m*m**(-9/2)*m))/m)*m)/m) assuming m is positive.
m**(157/4)
Simplify (o**(-4)/o**(-16/9))/((o*o*o/(o/(((o**(-2/5)/o)/o)/o)))/o**(-25)) assuming o is positive.
o**(-1162/45)
Simplify o**3/o**(3/7)*(o**(4/3))**(-1/31) assuming o is positive.
o**(1646/651)
Simplify ((y**(-2/59)*y)/y**(1/12))/(y**(-1/4)/((y/(y/(y*(y*(y**(1/6)/y)/y)/y))*y)/y)) assuming y is positive.
y**(53/177)
Simplify (j*(j/j**(1/2))/j)**(5/14)/(j**2/j**(-11)) assuming j is positive.
j**(-359/28)
Simplify ((n**(-1/8)*n**(-2/21))**(-40))**(20/7) assuming n is positive.
n**(3700/147)
Simplify (w*w*(w/(w*w*w**9*w*w)*w*w)/w*w)/w**(-9)*(w*w/(w/w**(-23))*w*w*w)/(w/(w/((((w/w**(-15))/w)/w)/w))) assuming w is positive.
w**(-31)
Simplify l*l**(1/7)*l/l**(1/3)*(l**(-3/2))**(-16) assuming l is positive.
l**(542/21)
Simplify ((a**(-2/11)*a)/a*a**10)/(a**(-1))**(-16) assuming a is positive.
a**(-68/11)
Simplify ((i**(-5)*i**5/i)**(1/18))**(-1/28) assuming i is positive.
i**(1/504)
Simplify j**(-1/12)/(j**(2/29)*j)*((j/(j/j**(2/19)))/j)**0 assuming j is positive.
j**(-401/348)
Simplify ((l/l**(1/14)*l**12)**(2/11))**7 assuming l is positive.
l**(181/11)
Simplify (((b**(3/14))**(4/15))**(25/3))**(16/3) assuming b is positive.
b**(160/63)
Simplify ((k/k**9*k*k)/(k/k**(-2/3)))/((k*(k/(k**1/k))/k)/(k/((k**13*k)/k))) assuming k is positive.
k**(-62/3)
Simplify ((x/x**14*x*x)/(x*((x/x**(-1/16))/x)/x*x))**31 assuming x is positive.
x**(-5983/16)
Simplify (g**4)**50/(g*g**10*g**13) assuming g is positive.
g**176
Simplify (((w**3/w)/(w**6/w))**(5/7))**13 assuming w is positive.
w**(-195/7)
Simplify (d/(d/d**0))/((d**13/d*d)/d*d*d)*d**(-1)/d**1 assuming d is positive.
d**(-16)
Simplify (x**(-5/4))**(2/3)/(x*x**(-1/49)*x**(-3/10)*x) assuming x is positive.
x**(-1847/735)
Simplify (f/f**(-9))**25/((f*f**(-3/10))/f)**(-4/5) assuming f is positive.
f**(6244/25)
Simplify (u*u**(-2/27)/u*u/(u*u**2)*u*u)**19 assuming u is positive.
u**(-38/27)
Simplify g**(7/3)/(g/(g*g*g/(g*g*g**(-5))))*g*g**(11/4)*g/(g*g*g**15*g*g) assuming g is positive.
g**(-83/12)
Simplify (q**(-2/3)*q*q)**(-49)*q*q*q**0*q*q/(q/(q*q**(2/
|
{
"pile_set_name": "DM Mathematics"
}
|
ide 15745950 by 6362.
2475
17 divided by -3885140
-17/3885140
What is -2261440 divided by 382?
-5920
What is 403499 divided by -19?
-403499/19
Divide 37339898 by -8.
-18669949/4
Calculate 1206210641 divided by -4.
-1206210641/4
Divide 25602200 by 6400550.
4
Calculate 557904 divided by -394.
-1416
What is 5 divided by 1006111?
5/1006111
What is -7118076 divided by 1016868?
-7
Calculate 3322324 divided by 4.
830581
Calculate 104318005 divided by -37565.
-2777
What is -3 divided by -8470189?
3/8470189
Divide -49567856 by 3.
-49567856/3
Divide -1825200 by -1350.
1352
What is 639318636 divided by 33?
19373292
What is -2391 divided by 96?
-797/32
-10716940 divided by 52
-206095
Calculate 3808896 divided by -16.
-238056
What is 88 divided by 143169?
88/143169
Calculate 6600 divided by -50226.
-100/761
Divide 35 by 3671647.
5/524521
242657688 divided by 21
11555128
What is 306844447 divided by 377?
813911
Calculate 398956818 divided by 30688986.
13
What is -73025540 divided by -14605108?
5
What is 39116118 divided by 6519353?
6
Calculate 1453497 divided by 10.
1453497/10
Divide 103646920 by 40.
2591173
Divide -823123 by -20.
823123/20
What is -25 divided by -144946?
25/144946
5676 divided by -4001
-5676/4001
-9364754 divided by 10157
-922
Calculate -3013500 divided by -2870.
1050
Divide -5 by -3651680.
1/730336
Calculate -142785153 divided by -93141.
1533
45312164 divided by -3
-45312164/3
Calculate 259267 divided by 58.
259267/58
Calculate 34588 divided by -7014.
-17294/3507
Calculate -332 divided by -110866.
166/55433
Calculate 1519440 divided by 131.
1519440/131
11756700 divided by -9
-1306300
What is -444 divided by -32047?
444/32047
1791 divided by -504
-199/56
Divide 180 by 20108.
45/5027
Calculate -87184160 divided by 2261.
-38560
-611352 divided by -1
611352
Calculate 869494932 divided by -4.
-217373733
-808979 divided by 4
-808979/4
Divide 3 by 3818900.
3/3818900
Divide -268435637 by 3.
-268435637/3
Calculate 1846056 divided by -461514.
-4
What is 99 divided by -4238277?
-33/1412759
Divide -505900621 by -72991.
6931
Divide 23791548 by -4.
-5947887
-2195203 divided by 589
-3727
Divide -224545680 by 10.
-22454568
Divide -7692816 by -641068.
12
What is -3821073 divided by -5?
3821073/5
-9 divided by 1060939
-9/1060939
9661170 divided by 9661170
1
226 divided by 32602
113/16301
Divide 10091946 by -1681991.
-6
Divide 1526346 by -251.
-1526346/251
Divide -7026 by -90.
1171/15
-11167 divided by -2000
11167/2000
93527453 divided by 2
93527453/2
What is 108581364 divided by 159444?
681
Divide 9986782 by -5.
-9986782/5
What is -1005224 divided by 1?
-1005224
Calculate -1701632 divided by -54.
850816/27
Divide -16759314 by 8426.
-1989
Calculate 55 divided by -1029246.
-55/1029246
-9732915 divided by 279
-34885
Calculate -50287395 divided by -33193.
1515
Divide 2 by 14693192.
1/7346596
What is -1025 divided by 172713?
-1025/172713
386696892 divided by -12
-32224741
Divide -67883792 by 2.
-33941896
Divide 651842 by -5.
-651842/5
Calculate -5 divided by -3702319.
5/3702319
793303 divided by -2
-793303/2
Divide -15771060 by 42740.
-369
104421234 divided by 1
104421234
Divide 5 by 77107107.
5/77107107
What is 25 divided by -2486479?
-25/2486479
What is 235804 divided by -73?
-235804/73
Calculate -434529088 divided by -2.
217264544
Calculate -347 divided by -13757.
347/13757
What is 31515712 divided by -26618?
-1184
Divide 1976133028 by 4.
494033257
What is -34 divided by 312753?
-34/312753
What is 2137369 divided by -9?
-2137369/9
What is -92666840 divided by -8?
11583355
-50028089 divided by -1
50028089
Divide -5 by 13121089.
-5/13121089
Calculate 334827376 divided by -214084.
-1564
Divide -5346392 by -7726.
692
Calculate -4237 divided by 72.
-4237/72
-2691060 divided by -10
269106
Calculate 697 divided by 88725.
697/88725
Calculate 257 divided by 31662.
257/31662
What is 265442319 divided by 88480773?
3
Calculate -2482475 divided by 159.
-2482475/159
What is 32315355 divided by 2154357?
15
Divide -35991329 by 297449.
-121
1774502 divided by -19
-1774502/19
Divide -6742890 by -70.
96327
What is 82 divided by 1142322?
41/571161
Calculate 8046488 divided by 6661.
1208
Calculate -6238595 divided by -1247719.
5
What is -33797090 divided by -16898545?
2
Divide 12813840 by -346320.
-37
What is 3329722 divided by -34?
-97933
Calculate 189 divided by -2846.
-189/2846
-28168048 divided by -14
14084024/7
Calculate 1763 divided by 1941.
1763/1941
0 divided by 15878265
0
Divide -52422500 by -1625.
32260
What is 668 divided by -76614?
-334/38307
Calculate -830121 divided by -8.
830121/8
What is 478363525 divided by -4453?
-107425
Divide -164898895 by -3.
164898895/3
What is -20 divided by 10575727?
-20/10575727
95130 divided by 2427
31710/809
What is 83 divided by -4427723?
-83/4427723
Calculate -2 divided by -923171.
2/923171
Calculate -8653788 divided by -480766.
18
-1545456 divided by -515152
3
Divide -13340 by -30939.
13340/30939
Divide -469 by 3211.
-469/3211
-25988 divided by 1036
-6497/259
What is 39607972 divided by -39607972?
-1
What is -1 divided by -12171437?
1/12171437
Calculate 0 divided by 23723009.
0
Calculate 668401711 divided by -47.
-14221313
1 divided by 5800924
1/5800924
What is -13 divided by -6847972?
13/6847972
-736434 divided by -29
736434/29
What is -2783913 divided by -2?
2783913/2
-1520467 divided by 404
-1520467/404
What is 84107620 divided by -10?
-8410762
What is 0 divided by -7142869?
0
-108221918 divided by 328942
-329
686898750 divided by 4579325
150
Calculate 184335 divided by -766.
-184335/766
What is 15027 divided by 201?
5009/67
What is -8688720 divided by 17660?
-492
Calculate -4 divided by 412220.
-1/103055
What is 893202 divided by -21?
-297734/7
What is 62328817 divided by -527?
-118271
539 divided by 562802
539/562802
-150282 divided by 474
-25047/79
-131620240 divided by 32905060
-4
Calculate 389 divided by 296347.
389/296347
Divide 12969276 by -3.
-4323092
196131 divided by -47
-4173
What is -5 divided by -406464597?
5/406464597
104152608 divided by -680736
-153
5167413 divided by 3
1722471
28801638 divided by -236079
-122
What is 9624717 divided by -5541?
-1737
Calculate -188977740 divided by 2.
-94488870
What is 245185550 divided by -49037110?
-5
What is 1982479 divided by 5?
1982479/5
What is 68727 divided by 29?
68727/29
-851 divided by -28644
851/28644
What is -18110392 divided by 2?
-9055196
What is -1236748 divided by -309187?
4
Divide -268 by -35590.
134/17795
4516080 divided by 930
4856
Divide 347 by 168056.
347/168056
-12390178 divided by -728834
17
177178173 divided by 19
9325167
Calculate 1 divided by -124336.
-1/124336
Divide 157312112 by -4.
-39328028
What is -36386736 divided by 12128912?
-3
Divide 3861140 by 2.
1930570
849 divided by 344047
849/344047
What is -134 divided by 1029155?
-134/1029155
Divide -49611931 by 81733.
-607
Divide -1811044 by -4.
452761
Divide 8807279 by 2561.
3439
-452279 divided by 1
-452279
Divide -1596857 by 51.
-1596857/51
-7713280 divided by -128
60260
Calculate -18437 divided by -230.
18437/230
-8 divided by 2063091
-8/2063091
Calculate -285171858 divided by -6.
47528643
54840240 divided by 756
72540
-510272 divided by -268
1904
-15719490 divided by -7859745
2
What is 416729478 divided by 3?
138909826
Calculate 56818071 divided by 6313119.
9
What is -197643440 divided by 2?
-98821720
What is 415791 divided by 8?
415791/8
What is -9 divided by -72653169?
3/24217723
Divide -16612861 by -193.
86077
Divide 1001105 by 8.
1001105/8
12275611 divided by -89603
-137
What is -334 divided by -37555?
334/37555
Calculate -1011327 divided by 1011327.
-1
What is -15407462 divided by 6?
-7703731/3
Divide -419016 by -8058.
52
1 divided by 231106051
1/231106051
What is -1085354 divided by 1085354?
-1
Calculate 277797442 divided by 14620918.
19
Divide 38807672 by 296.
131107
-7621 divided by -23339
7621/23339
What is -130704 divided by 6?
-21784
Divide -7009331 by -7309.
959
Calculate -42259125 divided by 42259125.
-1
Divide -1358668 by 2.
-679334
Divide 8964400 by -3650.
-2456
75 divided by -119098
-75/119098
Divide 0 by -187292.
0
What is 1 divided by 4083660?
1/4083660
What is -6687978 divided by -2?
3343989
What is 534487821 divided by -25451801?
-21
Calculate 4687015 divided by 937403.
5
Divi
|
{
"pile_set_name": "DM Mathematics"
}
|
- 2073961
What is the i'th term of -7809, -16102, -24395, -32688, -40981, -49274?
-8293*i + 484
What is the o'th term of -18366, -36497, -54580, -72591, -90506, -108301?
4*o**3 - 18159*o - 211
What is the g'th term of -1926, -7706, -17338, -30822?
-1926*g**2 - 2*g + 2
What is the t'th term of 6230560, 6230565, 6230574, 6230587, 6230604?
2*t**2 - t + 6230559
What is the h'th term of -37452, -37626, -37800, -37974, -38148?
-174*h - 37278
What is the z'th term of 84892, 169796, 254698, 339598, 424496?
-z**2 + 84907*z - 14
What is the o'th term of 60581, 121196, 181787, 242354, 302897, 363416?
-12*o**2 + 60651*o - 58
What is the r'th term of 195010, 390031, 585062, 780103, 975154, 1170215, 1365286?
5*r**2 + 195006*r - 1
What is the n'th term of 66631, 266552, 599797, 1066402, 1666403, 2399836?
6*n**3 + 66626*n**2 + n - 2
What is the z'th term of 15313, 25335, 35355, 45373?
-z**2 + 10025*z + 5289
What is the k'th term of -166, 157, 554, 1061, 1714?
6*k**3 + k**2 + 278*k - 451
What is the t'th term of -1547323, -1547314, -1547303, -1547290, -1547275, -1547258?
t**2 + 6*t - 1547330
What is the j'th term of 4678534, 4678538, 4678540, 4678540?
-j**2 + 7*j + 4678528
What is the q'th term of -11742, -8833, -5924?
2909*q - 14651
What is the o'th term of 143597, 143513, 143419, 143309, 143177, 143017, 142823?
-o**3 + o**2 - 80*o + 143677
What is the i'th term of -300, -2407, -8126, -19263, -37624, -65015?
-301*i**3 + 1
What is the g'th term of -176443, -352951, -529461, -705973, -882487, -1059003?
-g**2 - 176505*g + 63
What is the x'th term of -65791, -527158, -1779433, -4218070, -8238523, -14236246?
-65909*x**3 - 4*x + 122
What is the j'th term of -3010, -24681, -83624, -198475, -387870, -670445, -1064836?
-3106*j**3 + 71*j + 25
What is the b'th term of 627543, 627493, 627443, 627393, 627343, 627293?
-50*b + 627593
What is the p'th term of -79003, -78853, -78457, -77695, -76447, -74593, -72013, -68587?
20*p**3 + 3*p**2 + p - 79027
What is the m'th term of -140, -429, -762, -1025, -1104, -885, -254?
19*m**3 - 136*m**2 - 14*m - 9
What is the u'th term of -738, -2061, -3990, -6555, -9786?
-5*u**3 - 273*u**2 - 469*u + 9
What is the o'th term of -5605, -6202, -6789, -7360, -7909, -8430?
o**3 - o**2 - 601*o - 5004
What is the j'th term of 2510765, 2510907, 2511049?
142*j + 2510623
What is the w'th term of -4159, -16576, -37269, -66238?
-4138*w**2 - 3*w - 18
What is the c'th term of 418372, 418359, 418346?
-13*c + 418385
What is the u'th term of -1530366, -3060680, -4590996, -6121314, -7651634?
-u**2 - 1530311*u - 54
What is the n'th term of 436699, 437126, 437553, 437980, 438407?
427*n + 436272
What is the l'th term of -1661, -6313, -14031, -24815, -38665, -55581, -75563?
-1533*l**2 - 53*l - 75
What is the x'th term of -40443, -60320, -93441, -139800, -199391?
x**3 - 6628*x**2 - 33816
What is the i'th term of 2523460, 2523482, 2523504, 2523526?
22*i + 2523438
What is the v'th term of -72058, -144114, -216186, -288280, -360402?
-v**3 - 2*v**2 - 72043*v - 12
What is the u'th term of 99986, 200019, 300108, 400259, 500478, 600771, 701144, 801603?
u**3 + 22*u**2 + 99960*u + 3
What is the q'th term of 5834, 46715, 157684, 373787, 730070, 1261579, 2003360?
5841*q**3 - 2*q**2 - 5
What is the s'th term of 6179, 24758, 55735, 99122, 154931, 223174, 303863?
2*s**3 + 6187*s**2 + 4*s - 14
What is the w'th term of -139430373, -278860746, -418291119, -557721492, -697151865, -836582238?
-139430373*w
What is the s'th term of 159418, 637610, 1434596, 2550376?
159397*s**2 + s + 20
What is the x'th term of -30729, -30988, -31403, -31956, -32629, -33404, -34263, -35188?
3*x**3 - 96*x**2 + 8*x - 30644
What is the f'th term of -4984461, -4984456, -4984453, -4984452, -4984453, -4984456?
-f**2 + 8*f - 4984468
What is the i'th term of 2182278071, 2182278060, 2182278037, 2182277996, 2182277931, 2182277836, 2182277705, 2182277532?
-i**3 - 4*i + 2182278076
What is the q'th term of 11588, 10737, 9874, 8993, 8088?
-q**3 - 844*q + 12433
What is the s'th term of -442880, -1771511, -3985894, -7086029, -11071916?
-442876*s**2 - 3*s - 1
What is the m'th term of -26372, -26247, -26050, -25787, -25464, -25087?
-m**3 + 42*m**2 + 6*m - 26419
What is the k'th term of 680, 536, 286, -118, -724, -1580, -2734, -4234?
-8*k**3 - 5*k**2 - 73*k + 766
What is the b'th term of -2791, -28735, -101001, -242749, -477139, -827331?
-3860*b**3 - b**2 + 1079*b - 9
What is the u'th term of 15063, 59466, 133213, 236304?
14672*u**2 + 387*u + 4
What is the x'th term of -1404216, -5616882, -12637992, -22467546, -35105544, -50551986, -68806872?
-1404222*x**2 + 6
What is the l'th term of 4119903, 8239806, 12359709, 16479612, 20599515, 24719418?
4119903*l
What is the y'th term of -2270, -17556, -58884, -139274, -271746?
-2170*y**3 - y**2 - 93*y - 6
What is the w'th term of -168089, -336214, -504337, -672458, -840577, -1008694, -1176809?
w**2 - 168128*w + 38
What is the g'th term of 11062, 22206, 33286, 44302, 55254?
-32*g**2 + 11240*g - 146
What is the d'th term of 8095, 31953, 71697, 127333, 198867, 286305, 389653, 508917?
d**3 + 7937*d**2 + 40*d + 117
What is the q'th term of -1203, -1682, -2115, -2502, -2843, -3138, -3387?
23*q**2 - 548*q - 678
What is the n'th term of 47391, 95390, 143389, 191388, 239387?
47999*n - 608
What is the g'th term of -85380, -85397, -85428, -85479, -85556?
-g**3 - g**2 - 7*g - 85371
What is the v'th term of 1843, 1273, 693, 103, -497, -1107?
-5*v**2 - 555*v + 2403
What is the y'th term of -55997, -53406, -50815, -48224, -45633?
2591*y - 58588
What is the q'th term of 812963, 1625895, 2438825, 3251753, 4064679, 4877603, 5690525?
-q**2 + 812935*q + 29
What is the a'th term of 1419, 2820, 4235, 5664, 7107, 8564, 10035?
7*a**2 + 1380*a + 32
What is the y'th term of -144631, -578306, -1301089, -2312974, -3613955, -5204026, -7083181?
y**3 - 144560*y**2 - 2*y - 70
What is the y'th term of -1385, -5519, -12459, -22199, -34733?
y**3 - 1409*y**2 + 86*y - 63
What is the t'th term of -7698, -7749, -7854, -8037, -8322, -8733?
-4*t**3 - 3*t**2 - 14*t - 7677
What is the k'th term of 317, 433, 643, 947, 1345, 1837, 2423?
47*k**2 - 25*k + 295
What is the j'th term of -2459789, -2459785, -2459781, -2459777?
4*j - 2459793
What is the z'th term of 134044, 132819, 131594, 130369, 129144, 127919?
-1225*z + 135269
What is the g'th term of 5524399, 11048802, 16573229, 22097692, 27622203, 33146774, 38671417, 44196144?
2*g**3 + 5524389*g + 8
What is the y'th term of -9128, -1625, 5878, 13381?
7503*y - 16631
What is the d'th term of 555769397, 555769395, 555769393, 555769391, 555769389?
-2*d + 555769399
What is the y'th term of 11253, 45673, 103029, 183315, 286525, 412653, 561693?
-y**3 + 11474*y**2 + 5*y - 225
What is the l'th term of -9016, -8225, -7432, -6637, -5840, -5041?
l**2 + 788*l - 9805
What is the z'th term of -602109, -602030, -601951, -601872?
79*z - 602188
What is the l'th term of 154737, 154739, 154745, 154755, 154769?
2*l**2 - 4*l + 154739
What is the p'th term of -4148, -17004, -38554, -68804, -107760, -155428?
-p**3 - 4341*p**2 + 174*p + 20
What is the q'th term of -868960, -868958, -868960, -868966, -868976, -868990, -869008?
-2*q**2 + 8*q - 868966
What is the l'th term of 135530, 267909, 400288?
132379*l + 3151
What is the f'th term of 18081933, 36163849, 54245765, 72327681?
18081916*f + 17
What is the l'th term of 3995469, 3995475, 3995479, 3995481?
-l**2 + 9*l + 3995461
What is the i'th term of 281922, 564247, 846572, 1128897, 1411222, 1693547?
282325*i - 403
What is the x'th term of -6899, -21571, -46061, -80399, -124615, -178739, -242801, -316831?
-5*x**3 - 4879*x**2 - 2015
What is the w'th term of 126147, 126220, 126271, 126294, 126283, 126232, 126135, 125986?
-w**3 - 5*w**2 + 95*w + 126058
What is the y'th term of -1768609, -7074430, -15917467, -28297720?
-1768608*y**2 + 3*y - 4
What is the g'th term of -43732, -43896, -44058, -44218, -44376?
g**2 - 167*g - 43566
What is the d'th term of -4041234, -4041242, -4041248, -4041252, -4041254, -4041254?
d**2 - 11*d - 4041224
What is the o'th term of 5843, 12276, 19301, 26918, 35127?
296*o**2 + 5545*o + 2
What is the c'th term of 2825555, 5650926, 8476297?
2825371*c + 184
What is the w'th term of -334104, -334165, -334226?
-61*w - 334043
What is th
|
{
"pile_set_name": "DM Mathematics"
}
|
+ 0*t**2. Let m be n(7). Let a = m + -16. What is the remainder when a is divided by 19?
17
Suppose r + 2*r = 51. Let d = 23 - r. Calculate the remainder when 21 is divided by d.
3
Suppose -4*y = -y - 30. Let a(m) = -m**3 - 13*m**2 + 13. Let l be a(-13). Suppose 16*g - 114 = l*g. Calculate the remainder when g is divided by y.
8
Let x be -2*(-3)/(-12)*-6. Let a(l) = -17*l + 4 - 4 + x + 13*l. Calculate the remainder when a(-7) is divided by 16.
15
Let y be 702/(-13) - 2/1*-1. Calculate the remainder when (-2 + y)/(-2 - (-2)/4) is divided by 13.
10
Suppose -3*r + 3*k - 6*k + 54 = 0, 8 = -4*k. Let y = 75 - -62. What is the remainder when y is divided by r?
17
Let d(m) be the third derivative of -1/6*m**3 + 1/30*m**5 + 1/8*m**4 + 0 + 0*m + 3*m**2. What is the remainder when d(-4) is divided by 5?
4
Let s = 152 - 116. What is the remainder when -6*(-214)/4*12/s is divided by 22?
19
Let q(u) = -u**3 + u**2 - 2. Let n be q(2). Let m = n + 22. Suppose -m = -5*p + 29. Calculate the remainder when 24 is divided by p.
6
Suppose -2*c - 5*a + 10 = -8, 12 = -3*a. Let d(t) = -t**3 - 3*t**2 + 14*t + 107. Calculate the remainder when d(-6) is divided by c.
17
Let k(r) = -6*r**3 - 11*r**2 - 32*r - 250. What is the remainder when k(-8) is divided by 8?
6
Let p = 55 + 484. What is the remainder when p is divided by 45?
44
Suppose 4*l - 2 = 3*d, 3*l + 4 = -2*d - 3. Calculate the remainder when 27 is divided by (-2)/((-8)/(-10) + l).
7
Let n = -132 + 176. Calculate the remainder when n is divided by 31.
13
Suppose -65*n + 13719 = 2149. What is the remainder when n is divided by 3?
1
Suppose -3*s = 5 - 122. Suppose 3*h = y + 35 - 164, -347 = -3*y + h. Calculate the remainder when y is divided by s.
36
Let b(t) = -t + 11. Let j be b(9). Let r be 1 + j + 0 + 1. Calculate the remainder when 54 is divided by r/3*42/4.
12
Let b be 1*(-1 + 1)/(-4). Suppose b = 9*x - 4*x - 155. Calculate the remainder when 183 is divided by x.
28
Let b(t) = -23*t - 1. Suppose 3*z = -40 + 46. Suppose -h = -3*d + 22, 4*d = z*h - 5*h + 12. Calculate the remainder when b(-1) is divided by d.
4
Suppose -5*a - 15 = 0, 7*d - 3*a = 10*d + 288. Let l = d - -211. What is the remainder when l is divided by 10?
8
Let o(b) = 0*b + 2262*b**2 - b**3 - b - 2251*b**2 + 21. What is the remainder when 47 is divided by o(11)?
7
Suppose -1755 = 19*d - 58*d. What is the remainder when 131 is divided by d?
41
Let m = 0 + 5. Let b be (-13)/(-26)*(-12)/(-2). Suppose -3*t - m*a + 58 = 0, -1 = -b*a - 13. What is the remainder when 76 is divided by t?
24
Suppose -2*t = t - 6. Let d(q) = q**3 + 3*q - 1. What is the remainder when (-33)/22*(-200)/6 is divided by d(t)?
11
Let h(d) = 14*d - 140. What is the remainder when 25 is divided by h(11)?
11
Let u = 59 - 23. Let v = u - -2. Calculate the remainder when v is divided by 144/14 + (-8)/28.
8
Suppose 3*a - a = 0. Suppose 5*j - 89 - 6 = a. Calculate the remainder when j is divided by (-1)/(-3) + (-20)/(-3).
5
Let l be ((-162)/15)/(-2) + 4/(-10). Suppose -606 = -l*k - 191. What is the remainder when k is divided by 21?
20
Let f = 40 - 21. Suppose 0*s = s - k - 36, -3*k = s - 32. What is the remainder when s is divided by f?
16
Suppose -5*g = -92 + 27. Let x(q) = 53*q + 279. What is the remainder when x(-5) is divided by g?
1
Suppose -h = -4*g + 1431, 23*h + 12 = 19*h. Calculate the remainder when g is divided by 58.
9
Suppose 0 = 35*u - 29*u - 660. What is the remainder when u is divided by 14?
12
Let i(d) = -8*d + 50. Calculate the remainder when i(-12) is divided by 30.
26
Let h(c) be the third derivative of c**6/40 + c**5/30 - c**4/8 - c**2. Let w(j) = 2*j - 1. Calculate the remainder when h(2) is divided by w(5).
8
Suppose 2*h + 3*h = 50. Let a(s) = -44*s - 6. Let p be a(-1). Suppose p = -5*v + 128. Calculate the remainder when v is divided by h.
8
What is the remainder when 114 is divided by (-65)/20*(2 - 18)?
10
Let j = 58 + -56. Suppose -x = -3*q + x + 237, 2*q - j*x = 160. Calculate the remainder when q is divided by 10.
7
Let j = -1126 - -1223. What is the remainder when 872 is divided by j?
96
Let f be (-2)/(1/(3 + -5)). Suppose 0 = -f*o - 58 + 10. Let n = 23 + o. What is the remainder when 19 is divided by n?
8
Let x = 43 - 54. Let a(r) = -r**3 - 12*r**2 - 13*r - 12. Calculate the remainder when 108 is divided by a(x).
8
Let l(r) = -3*r + 3. Let y be l(2). Calculate the remainder when 52 - (y + 4 + -3) is divided by (7/3)/(8/48).
12
Suppose -3*u + 142 + 170 = 4*d, -4*u + d = -435. Calculate the remainder when u is divided by 59.
49
Let d(h) = 2*h - 5. Let w be d(8). Let g(n) = -11 + 7*n + w. What is the remainder when g(1) is divided by 5?
2
Let l(h) = 4*h**2 - 14*h - 6. Let i be l(6). Suppose -i = -7*o + o. Suppose 0 = 3*x - 9 - 3. What is the remainder when o is divided by x?
1
Suppose 4*o = 1410 - 442. Let t(a) = 4*a - 1. What is the remainder when o is divided by t(7)?
26
Let x = -7452 + 7457. Suppose -g + 5*r + 62 = 0, 24 = 2*g - 3*r - 72. Calculate the remainder when g is divided by x.
2
Suppose -w - 2*w = -27. Suppose 4*i + w = 5*i. What is the remainder when 26 is divided by i + -6 + (3 - -1)?
5
Let o(m) = m**2 - 9*m + 2*m - 2 + 5*m**2 + 10*m. Suppose -3*i + 0*i + 33 = 0. Calculate the remainder when o(-3) is divided by i.
10
Suppose 3*u = v - 6, 0 = -3*v + u - 6*u + 4. Suppose 15 + 3 = v*w. Let d(p) = -p**3 - 2*p**2 + 4*p + 6. Calculate the remainder when d(-4) is divided by w.
4
Suppose 1032 = -0*q + 2*q. Suppose 7*x = 4*x - q. Let r = -122 - x. What is the remainder when r is divided by 17?
16
Suppose 40*c = 351 + 729. Calculate the remainder when 36 is divided by c.
9
Suppose -14*y + 365 - 99 = 0. Calculate the remainder when 63 is divided by y.
6
Let d(p) = -3*p + 1. Let q be d(2). What is the remainder when 2 - (-1*1 + (q - 39)) is divided by 17?
13
Suppose -14*s - 150 = -5*i - 9*s, -46 = -i + 5*s. Let n(w) = -w + 1. What is the remainder when i is divided by n(-8)?
8
Let n = 7 + -1. Let b(l) = -3*l + 6. Let s be b(n). Let w = -2 - s. Calculate the remainder when 37 is divided by w.
7
Let i be 16/(-2 - 2) + 4. Suppose c = -i*c + 4. Suppose 0 = -3*u + c*u - 40. Calculate the remainder when u is divided by 14.
12
Suppose -4*c - 8 = -8*c. Suppose 29 = y - c*o, 3*y + 2*o = 4*o + 75. Calculate the remainder when y is divided by 13.
10
Suppose 2*g + 2*g + 20 = 0, -4*w + 35 = -3*g. What is the remainder when 11 is divided by w?
1
Let a(d) = 2*d + 22. Let f = 47 + -39. What is the remainder when a(4) is divided by f?
6
Let a(z) = 3*z - 14. Let n be a(6). Let y(o) = -o + 2*o + 4 - 5*o + 7*o. Calculate the remainder when 60 is divided by y(n).
12
Let p be (-64)/10 - (-18)/(-30). Suppose 4*f - 7 = 1. What is the remainder when 41 is divided by 1 - (f*p)/1?
11
Let c(n) be the first derivative of 3*n**2/2 + 10*n + 5. Let m(x) = -2*x - 5. Let t(p) = -4*c(p) - 7*m(p). What is the remainder when 32 is divided by t(8)?
10
Suppose -26 = -2*c - 12. Calculate the remainder when 83 is divided by c.
6
Let x = 21 - 14. Let r be (-29)/5 + x/(-35). What is the remainder when (r + 5)/(1/(-17)) is divided by 6?
5
Let z(w) = 8*w**2 + 34*w - 60. Calculate the remainder when z(-15) is divided by 28.
26
Let p(r) = 2*r + 27. Let f = 28 + -12. What is the remainder when f is divided by p(-9)?
7
Let p = -77 - -110. Let r(m) = -m**3 + 8*m**2 + 3*m + 1. Let u be r(8). Let a = p + u. Calculate the remainder when a is divided by 20.
18
Suppose 4*m - 82 = 5*d - 7*d, 5*m - 3*d = 97. Calculate the remainder when 439 is divided by m.
19
Suppose -3*f - 2*f + 20 = 0. Calculate the remainder when 6*(7 - -4 - 8) is divided by f.
2
Suppose -3*c - 15 + 39 = 0. Let p = -4 + c. Calculate the remainder when 21 is divided by p.
1
Let w(z) = -z**3 - 12*z**2 + 2*z - 53. Calculate the remainder when w(-14) is divided by 26.
25
Let d = 9 - 9. Suppose d = -4*n - n - 165. Calculate the remainder when n*(4 - 2)/(-6) is divided by 7.
4
Let a be 4 - (2 - 140)/(-3). Let d = a - -72. What is the remainder when d is divided by 11?
8
Let p = 63 + -61. Suppose -p*b + 12 = -0*b. What is the remainder when b is divided by 2?
0
What is the remainder when 6364/20 + (-1)/5 is divided by 10?
8
Suppose 0 = -4*m + 3*y - 6, 3*m - y = -4*y - 15. What is the remainder when 100 is divided by (2/(-5))/(m/195)?
22
Suppo
|
{
"pile_set_name": "DM Mathematics"
}
|
z is positive.
z**(13805/3888)
Simplify (((k**(-1/11)/k)/(k*k**(1/3)*k))/(k*k**(-1/4))**(-11))/((k**(-2/5))**(2/3)/(k**2)**(4/29)) assuming k is positive.
k**(102749/19140)
Simplify ((t/t**(-1/2))**(-27)/(t**(-26)*t/t**(5/13)))**(-49) assuming t is positive.
t**(19257/26)
Simplify c*c*c**(3/2)/c*c*c**(-7)*(c*c/c**(2/7))**(-1/8)*(c*c*c**(-1/6)*c*(c**(3/14)/c)/c)**9 assuming c is positive.
c**(40/7)
Simplify (((((m/m**(2/7))/m)/m)/m)**5/((m/(m/(m*m**(-1/11))*m))/m*m**(1/6)))/(m*m*m**7*m*m**(-3/8)*m*m**(2/9)/(m**(-4)*m)) assuming m is positive.
m**(-135005/5544)
Simplify ((y*y**(5/6))/y*y**3)/(y*(y**(-2/5)/y)/y*y**(-2/11))*((y**0/y*y)/y**(-1))**(-16) assuming y is positive.
y**(-3493/330)
Simplify (((r/r**(-4/11)*r*r*r/(r*r*r**(1/6)*r*r))/((r*r/(r**8*r*r))/r**13))**(-2/67))**(-15/4) assuming r is positive.
r**(6995/2948)
Simplify ((((q/((q*q**1)/q)*q)/(q*q**(-1/7)))**(1/5))**(-18))**8 assuming q is positive.
q**(-144/35)
Simplify (h**(1/4))**(-2/27)*(h/(h**(1/3)*h))**2*(h/(h**(4/7)*h)*h/(h*h/(h/(h/(h**(-2)/h*h)))))/(h/(h*h**4*h)*(h/h**(-7)*h)/h) assuming h is positive.
h**(-2743/378)
Simplify m/(m**(-1/2)/m)*(m/((m/m**(-3)*m)/m)*m)/m*m**(1/7)/m*((m**2/m)/m)/m*(((m**(-3)*m)/m)/(m**(-6)/m))**(-27/2) assuming m is positive.
m**(-789/14)
Simplify (((r**(-2)/r)/((r*r**(-3/7)*r)/r))/(r*r**(2/7)*r*r/(r/(r**(-2/7)*r))))/(r**(2/5)/(r*r**(-1)*r)*r**(-3/8)/r**(-2/5)) assuming r is positive.
r**(-1679/280)
Simplify ((w/(w*w*w*w**7))/(w*w/w**(3/13)))**(-35)/((w/(w/w**(1/2)))/((w/(w/w**(1/2)))/w)*w*w*w**(-4)*w*w*(w/((w*w**(4/7))/w))/w) assuming w is positive.
w**(34261/91)
Simplify (n*n/(n/(n/(n**(-4/5)*n)))*(n/(n/n**(-4)*n))/n)**23*((n/(n/(n/n**(2/5))))**19)**(-42) assuming n is positive.
n**(-2877/5)
Simplify w**(2/15)/(w/(w*w**3)*w)*w**(-4/7)/w*w*w*w**6*(w*w**(-2)*w)/(w**2/w)*(w*w**(-1/6))/(w/w**(-2/3)) assuming w is positive.
w**(471/70)
Simplify ((b**0/b)**(2/5))**(-34)*(b*(b/b**(-1/4))/b*b*b)**(-44)*(b**(-1)/b)**(25/3) assuming b is positive.
b**(-2191/15)
Simplify p**(-2/5)/(p/p**(-5))*p**(-4/5)/(p*p**(-3)*p*p)*(p**(-2))**37/(p**(6/11)/p**(-3)) assuming p is positive.
p**(-4661/55)
Simplify (v**(-46))**42*v**47*v**43 assuming v is positive.
v**(-1842)
Simplify (((s*s**12)/(s**(-2/37)*s))/(s**(-20/9)*s/((s/((s**30*s)/s*s))/s)*s))**(-41) assuming s is positive.
s**(255635/333)
Simplify (t**(2/5)*t**(3/2)*t**(-8)*t*t**4/t)/((t/(t/(t**4/t*t)))**1)**(-1/13) assuming t is positive.
t**(-233/130)
Simplify (s**(-4/7)/(s*s**(-5)*s))**(-49)*(s/(s*s/(s**(-3)*s)*s))/(s**6*s*s)*s**1*s**(-5)*s*s assuming s is positive.
s**(-133)
Simplify (z**0*z)**(-40)/((z/(z*(z/(z/(z**(-1/2)/z)*z*z))/z))/z**(2/7))*(z**(-2/5))**(2/19)*z**(-8)*z*z/(z*z**4*z*z*z) assuming z is positive.
z**(-77481/1330)
Simplify (m*(((m*m**3)/m)/m)/m*m**(-7))**17*((m/(m/(m/m**(1/6))))/(m*m**6))/(m/(m/((m**6*m)/m))*m*m/m**(-2/7)) assuming m is positive.
m**(-4177/42)
Simplify g**8*g*g/(g**(-1/8)/g*g)*(g*g**4)/(g/(g**1*g)*g)*(g**10/g*g**4/g)**(-20) assuming g is positive.
g**(-1799/8)
Simplify ((x**(-1/3))**(-12/5))**(-9/5)*(x**(-3/5)/x**(-2/5))**(-3/11) assuming x is positive.
x**(-381/275)
Simplify (u/u**(-1/4))**(-9)/(u**1)**(-28)*(u**(1/4)*u)**24*u**(-4)*u**(2/27) assuming u is positive.
u**(4625/108)
Simplify ((a/a**(-1/5)*a**(3/2))/(a/a**(-1))**26)/(a/a**(1/8)*a**(-6)*(a/(a*a**(-1)))/(a*a*a/(a*a**2)*a)) assuming a is positive.
a**(-1767/40)
Simplify (t**(-7)*(t*t**6)/t)/((t*t*t**3*t*t*t)/(t*t**(5/4)*t))*(t*t**(-6/11)/t)/((t/t**(-5))/t)*(t**(-2/5)/t*t)/t**(-1/8) assuming t is positive.
t**(-5091/440)
Simplify ((t*t**(2/11))/t*t**(-10)*(t**12)**(-34))**(15/2) assuming t is positive.
t**(-34470/11)
Simplify (((w**(1/4)*w)/w**(-3/11)*(w*w**(-8))/(w/(w/(w*w**(2/5)))*w))**(3/5))**9 assuming w is positive.
w**(-46791/1100)
Simplify (g**(-1/4)*g*g)/g*g*g**(-1/5)*g**6*g**(1/2)/g*g*((g**2/g)/g**(-6))/(g*g*(g**(-1)*g)/g*g)**(-1/18) assuming g is positive.
g**(2729/180)
Simplify y**(6/11)/y**(-2)*(y*y**(-1)*y)**5*(y**(-7/4)/(y/(y**(-12)/y)))**(-40) assuming y is positive.
y**(7013/11)
Simplify ((p**0*p**5)/(p**(-2/9)*p)**(-44))/(p**(-3)*p/p**(4/5)*p**(-3/2)/p**(3/5)) assuming p is positive.
p**(3971/90)
Simplify ((r/(r/r**(-2/41)*r)*r)/r**(-4/7)*(r/r**(-16/3))/(r/(r**(-2/7)/r)))**(-6/7) assuming r is positive.
r**(-7870/2009)
Simplify ((t**(2/17)/(t/(t*t*((t*t/(t*t/t**(7/3))*t)/t)/t)*t))/(t**(-24)/t**(-3/11)))**(22/5) assuming t is positive.
t**(5650/51)
Simplify ((a**(-1/11)*a**(-6))/(a/(a*a**(-3))*a**(-1/6)))/((a/a**7)/(a**(11/5)*a))**(-23) assuming a is positive.
a**(-72773/330)
Simplify (((a**(-1/3)*a)/a)**(-3/4)*(a*(a**(5/2)*a)/a)/a**(-2/7))/((a*a/(a*a**(1/4)))**(2/15)*(((a/(a**4/a*a*a))/a)/a)/(a*a**(3/7)*a)) assuming a is positive.
a**(1731/140)
Simplify (r*r**(3/5)*r*r*r*r**(1/5))**(-1)/((r/r**(-2/7))**(22/3))**45 assuming r is positive.
r**(-15018/35)
Simplify ((d/d**(-1))**(-1/11)/(d*d**(-2/11))**(1/10))**(-41) assuming d is positive.
d**(1189/110)
Simplify (((v/((v**(-11)/v)/v*v*v)*v*v/(v/(v**(-4/3)*v)*v)*v)/((v*v**(3/4))/(v*v/v**(-3))))**27)**(-8/5) assuming v is positive.
v**(-3438/5)
Simplify ((((f**(-13))**42)**40)**(4/25))**(-9) assuming f is positive.
f**(157248/5)
Simplify ((d**1)**(2/67)/(d/((d*d**(-1)*d)/d))**(-5/4))/(((((d*((d**3*d)/d)/d)/d)/d)/((d/d**(-1/4))/d))/(d**(-2/7)*(d**(-2/11)/d)/d*d)) assuming d is positive.
d**(-9675/10318)
Simplify ((w/(w*w**(2/21)))/w**7)**(-3/44)*(w/(w**8*w)*w**(-3/8))**(-39) assuming w is positive.
w**(201499/616)
Simplify (((p*p**(2/13)*p)/(p**17*p*p*p))/(p**(-28)*p/(p**28/p*p)))**(9/7) assuming p is positive.
p**(621/13)
Simplify (((p*p/(((p**0*p)/p)/p))/p)**(1/4))**(2/67)/((p*(p*p**(3/7))/p)/((p/(p/(p*p**(-2/9)*p*p*p)))/p))**14 assuming p is positive.
p**(11399/603)
Simplify (l*l/l**(-29)*l*l**(-35)*l)/(l/l**(-3))**(-45) assuming l is positive.
l**178
Simplify ((w**(1/3)*w)**(-38)*(w/(w/w**(-1/3)))**(7/8))/((w**(1/2)*w*w*w/w**4)/(w*w*w/((w/(w*w*w*w*w**1*w*w))/w))**(4/7)) assuming w is positive.
w**(-7517/168)
Simplify (t/t**(-3)*t**(1/5))/(t*t/(t/t**(-2/3)))**(-4/15)*t/t**(5/2)*t*(t**(-5)*t)/t*t**(3/5)/t**0 assuming t is positive.
t**(-11/18)
Simplify ((b/(b**(4/9)*b))/b**(2/21))**(-20)*((b/(b*b*b**1/b*b))/(b/b**5))**16 assuming b is positive.
b**(2696/63)
Simplify (b**(2/55)/b)/(b/b**31)*b**(14/3)/(b**(-35)/b) assuming b is positive.
b**(11501/165)
Simplify (t/((t*t/(t/(t*t**(-5/9))))/t)*t/(t**16*t)*t**(-20)/(t**(-1/12)*t))**(2/37) assuming t is positive.
t**(-1309/666)
Simplify (f**0)**32/((f/f**(-2))/(f/f**(-2/13)))*((f*f**(-7))/f*f*f/(f*(f*f/(f/((f*f**(-6)*f)/f))*f)/f))/(f**(-3/4)*f*f**(2/25)) assuming f is positive.
f**(-5429/1300)
Simplify ((x**(2/21)/(((x/x**29)/x)/x*x))**(2/7))**(-33) assuming x is positive.
x**(-13442/49)
Simplify (((s*s**(-4)/s)/s*s*s/s**(-2/5))/((s**(-8)*s)/(s*((s*s**(-10))/s)/s)))**6 assuming s is positive.
s**(-168/5)
Simplify (i/((i/i**(-10))/i))/i*i*(i/(i*i**(1/4)*i))/i*i*(i**29*i)**(14/11) assuming i is positive.
i**(1229/44)
Simplify (p**(1/5)/(p*p*p*p**(-14))*(p**(-1/7))**(12/13))**(-9) assuming p is positive.
p**(-45324/455)
Simplify ((m**(1/3))**50*((m*m**0)/m*m*m)/m*m/m**(-3/7))**(11/3) assuming m is positive.
m**(4411/63)
Simplify x**(2/3)*x*x**0*(x*x**1/x*x*x)**(1/34)*((x*x**6/x)/((x**(2/17)/x)/x*x))/(x**(2/11)/(x*(x/(x**(-6)/x)*x)/x)) assuming x is positive.
x**(19585/1122)
Simplify ((v**(1/7)/v)**35)**(3/10)/((v**(-3/7)*v**(5/2))/((v**(-5)/v)/(v*v**0))) assuming v is positive.
v**(-253/14)
Simplify ((m**(-18)*m/m**(-2/77))**(-1/6))**(20/9) assuming m is positive.
m**(13070/2079)
Simplify (p/p**3)/((p**3/p)/p)*(p**(-2/5))**(1/3)*(p**(-2)*p**(-5)/p)/((p/(p/p**(-3/2)))/(p/(p*p/(p**6/p))*p)) assuming p is positive.
p**(-139/30)
Simplify ((s/s**1)**(2/41)*(s**(2/5))**37)**17 assuming s is positive.
s**(1258/5)
Simplify (((b/(b/b**(-3/5))*b)/b)/(b**(-3)*b))**(2/15)*(b**6*b*b**4)/(b*b**1)**40 assuming b is positive.
b**(-5161/75)
Simplify (c**(1/3)*c**(3/8)/c*(c**0/c)**2)/(((c/c**(2/3)*c)/(c/c**3))/(c**(-2)*c/c**4)) assuming c is positive.
c**(-85/8)
Simplify ((b**2/b*b*b*b/(b**2*b*b))/((b/(b/(b**(-7)/b)))/b**(1/18)))/(b/b**(-4)*b**(-2/7)*b*b*b**(-1)*b**4) assuming b is positive.
b**(-209/126)
Simplify (((h/(h**(-2/3)/h*h))/h)**(-18))**(-2/9)*((h**(-1/3))**(1/14))**(-38/3) assuming h is positive.
h**(187/63)
Simplif
|
{
"pile_set_name": "DM Mathematics"
}
|
l + 4*h - p for l.
-5
Let b be (-5)/15*(9 + -24). Solve 0 = 4*g + 2*o + 3 + 3, -2 = -3*g + b*o for g.
-1
Let w(k) = 3*k**2 - 35*k + 150. Let b be w(5). Solve 0*a - 2*f = -3*a - 25, b = -5*a + 5*f for a.
-5
Suppose -78 = -2*k + 2*h, 5*h - h = -8. Solve 0 = 2*v - 3*v - 3*q + 4, -4*q = -5*v - k for v.
-5
Suppose 15 + 96 = 37*r. Solve t + r = w + 4, t + 9 = -w for w.
-5
Let m(r) = -2*r**2 + r**2 + 8 - 9. Let b be m(-3). Let g = -4 - b. Solve 3*j + j = 5*y + 11, -2*y = g for j.
-1
Let d(h) = -h + 2. Suppose -3*g + 5 = -5*v, -10 = 3*v - 8*v. Let p be d(g). Let b be -4 - -1 - (p + -1). Solve -1 = -4*i + 5*t + 16, b = -3*i + t for i.
-2
Let c be 278/695 + 53/5. Solve 4*w - 5*l = 5, -7*w = -c*w + l + 17 for w.
5
Let t = -1 + 7. Suppose 4*s - 3*p - 6 = 0, -4*s - 4*p = -2*p - 16. Let k be 116/s - 64/(-48). Solve 20 = -2*q + 2*w, -3*q - w + t*w - k = 0 for q.
-5
Let f be 360/44 - 4/22. Let q be 135/f + 1/8. Let a = -13 + q. Solve w = -4*r - 24, r + a*r + 25 = 0 for w.
-4
Let h(j) be the first derivative of -j**3/3 - 15*j**2/2 - 10*j + 4. Let l be h(-14). Solve 0 = -3*i - 2*p - 22, 4*i + 3*p + 27 + l = 0 for i.
-4
Let t = -10 - -15. Let h(v) = 2*v**2 + 2*v. Let j be h(-2). Solve 2*w = -j*p + 20, -w - t*p + 16 = -p for w.
4
Suppose 141 = 4*c - 3. Suppose 7*t = 6 + c. Solve -w = 2*h - 3, -4*h + t*w + 12 = 2*w for h.
2
Let n(h) = -h**3 - 5*h**2 - 6*h - 6. Let f be n(-4). Solve 5*l - 3 = -5*m - 23, 5*m - 8 = f*l for l.
-4
Suppose 0 = -0*k + 8*k. Suppose z - 4 = -k. Solve z*h + 6 = -y + 2, -4*y - 3*h = 16 for y.
-4
Let r(x) = -33*x - 4 - x**2 - 17 + 22*x. Let o be r(-8). Solve 3*t + 2*t + 4 = -2*n, o*t - 3*n = -15 for t.
-2
Suppose -18 - 2 = -4*f + 3*t, 5*t = 5*f - 20. Solve 2*h - f = 6*h + 3*k, -k - 21 = 5*h for h.
-5
Let m = -34 - -34. Let r(p) = m*p + p**2 - 2*p**2 + 4*p + 2 - 1. Let l be r(2). Solve x = -3*b - 4*x + 29, b - 2*x = -l for b.
3
Suppose -17*q + 16*q - 4*z = 1, -5*q = -3*z - 18. Solve 3*u + 15 + 0 = 0, q*l + 13 = -5*u for l.
4
Let s(y) = y - 9. Let k be s(13). Suppose -10*a - k = -12*a. Solve -4 = -2*x - 2*v, -v + 2*v = a*x - 4 for x.
2
Let n = -506 - -511. Solve n*x = j + 12, 5*x = -7*j + 2*j for j.
-2
Let c = 166 + -162. Solve c*b = -a + 16, a + 7 = 3*b + 3*a for b.
5
Let q(g) = 6*g - 6. Let f(o) = 11 - 3*o - 9*o + 8 - 5*o. Let i(p) = -4*f(p) - 11*q(p). Let d be i(6). Solve 2*b = 4*m - d*b + 16, 0 = 5*b - 10 for m.
-2
Suppose 0*o - 11 = -5*i - o, i - 5*o = 23. Solve -5*c = -i*t - 11, t - 3*c + 5 = -0*t for t.
-2
Suppose z + r + 0*r = -5, -5*z = -2*r + 4. Let f be ((-16)/(-1))/(0 - z). Solve 2*l + f = 4*n, 2*l = -5*n - 7 + 17 for n.
2
Suppose 0 = -3*w + 33*y - 29*y - 4, 5*w = 4*y - 4. Solve w = 2*f + 4*h, h - 3 = 3*f + 4*h for f.
-2
Suppose g - 4*y = 6*g + 3, 0 = -2*g + 4*y + 10. Solve 0 = 2*a + 2, 5*i = -3*a + 2*a - g for i.
0
Suppose -2*q + x = -12, q + 4*q + 2*x - 12 = 0. Suppose 8 = 2*f - 2. Suppose y - 7 = r, -4*y + f*y + 4*r = -13. Solve y*a = q*t - 14, 4*t + t - 5*a = 20 for t.
2
Let k be ((0 - 23) + 4)/(-1). Let y = 19 - k. Solve -4 = -3*q - 5*v, 2*q - v - 2*v - 9 = y for q.
3
Let z = -6 + 11. Suppose 4*w + 12 = 6*w - 2*y, 0 = 3*w + 3*y. Suppose -14 = -4*j + c - 0*c, -3*j + 3 = w*c. Solve -z*f + 5 = 2*x, -x + 4 = 4*f - j for x.
-5
Let h(m) = -105*m - 522. Let a be h(-5). Suppose 19 = 2*q + q + 2*k, 3*q - 14 = -k. Solve a*r - 6*r + 3*o = -q, 4*r = -5*o - 14 for r.
-1
Let m(n) = -4*n**3 + n**2 - 1. Let i be m(-1). Suppose -i + 40 = 3*a. Let o be (18/a)/(6/16). Solve 2*l + 40 = 5*w + 12, -o*w = 4*l for l.
-4
Suppose -2*z = -4*z + i + 13, 4*z = 5*i + 29. Solve -2*a - z = -g - 4*a, 0 = 2*a - 10 for g.
-4
Let l(o) = -o**3 + 5*o**2 + 7*o - 31. Let c be l(5). Solve -2*g + 3*t - 5 = 0, 0*t - 2*t = c*g + 18 for g.
-4
Let f = -137 - -138. Solve n + n + 2 = -5*b, -n + 4*b - f = 0 for n.
-1
Let y be 0/(1 + 3)*1. Let z be ((y - -3) + -6)/((-6)/4). Solve 0 = -3*w + w + z*u - 6, 4*u = 3*w + 11 for w.
-1
Let a(k) = -k**3 + 5*k**2 + 15*k + 4. Let u be a(7). Suppose d - u = -2*m, 3*d - 2 = m + d. Solve -w = -m*w + 3*j + 12, -w - 3*j + 8 = 0 for w.
5
Suppose -5*g = -v - 27, -6*g + g - 4*v + 17 = 0. Suppose 37 = q + 3*u, 2*q - g*q + 81 = -u. Solve 6 = 4*r + 5*n, r - q = -4*r + 4*n for r.
4
Suppose 5*g + 15 = -3*n + 25, -8 = 3*n - 4*g. Solve -25 = h - n*h - 5*v, -10 = -5*h - 2*v for h.
0
Suppose s + 3*s + 224 = 0. Let v be (12/(-14))/(12/s). Solve -n + g + 4 + 2 = 0, -n + v*g + 9 = 0 for n.
5
Let n(s) = 161*s + 7408. Let k be n(-46). Let p(o) = -o**2 + 5*o + 3. Let z be p(5). Solve -z*y - 4 = k*a, 3*a + 7*y + 9 = 4*y for a.
-5
Let i be (0 - 1)/((-40)/360). Let m be 0*3/9 + 2. Solve 2*t + i = -t + 3*f, 0 = -t - m*f for t.
-2
Let y = 0 - -3. Suppose -5*z + 10*z - 25 = 0. Suppose 0 = -4*l + z + 15. Solve -y*q + 1 = -g, 3*q = l*q - g for q.
1
Let v = 115 - 97. Suppose -v - 93 = -4*n + 3*a, 72 = 2*n + 4*a. Suppose -5*f + 15 = -p, 0*p = 5*f + 2*p. Solve -5*c + 5*g = n, -c = -g + f*g + 4 for c.
-5
Let x(r) = 9*r**2 + 6*r + 6. Let h be x(-3). Suppose -3*l - 3*c = -h, l + 4 - 15 = 3*c. Solve 3*g + 12 = 0, -3*i - 5*g = l + 12 for i.
-4
Let p = -13 + 17. Suppose p*k = 26 + 26. Let r = -8 + k. Solve 0*o - 4 = 2*o, 3*l + 2*o = r for l.
3
Suppose -74*f + 96 = -66*f. Solve -4*t + 2*o = 7*o - f, 0 = -t - 2*o + 3 for t.
3
Suppose 0 = 4*i + 11 - 35. Suppose -2*p + 24 = 2*p + 4*z, 48 = 4*p - 2*z. Let a = 14 - p. Solve x + 3 - a = 2*d, 4*d = -2*x - i for x.
-1
Let m(i) = i**3 + i**2 + 3. Let r be m(0). Suppose r*l + 65 = 8*l + 5*d, 2*l + 4*d - 32 = 0. Let p = l + -5. Solve 5*x - 9 = -q - 0, -p*x = 3*q - 17 for q.
4
Suppose -9 = -5*i + p, 25 = 81*i - 76*i - 5*p. Solve h + 6 = k, 0 = -3*h - k + i - 11 for h.
-4
Let m(y) = -3*y**2 + 3*y + 12. Let v be m(3). Let g be (-1 + 2 + -2)/(2/v). Solve 0*c + 4*x - 10 = 2*c, -4*c - g*x = -2 for c.
-1
Suppose n = 4*t - 12, -9*t - 12 = -13*t + 5*n. Solve t*z + 5*l + 6 = 0, z + 3 = 3*z + l for z.
3
Let s be (1 - -4) + (21 - 19) - 7. Solve 5*x - 4*l - 25 = 0, -5*x + 6*x + 2*l - 5 = s for x.
5
Suppose 4*j + 7 = 3*w, 2*j + 11 = 35*w - 32*w. Solve -1 = 2*u + 2*u + 3*v, -w*v + 9 = 4*u for u.
-4
Let s = 9 + -7. Suppose s*d = 5*j - 30, 3*d = -4*j + 8*d + 41. Suppose -4*h - 8 = -0*o - 4*o, o = 2. Solve 6 = 5*b + 3*v, v - 2 = j*b - h for b.
0
Suppose 9*d = -3*q + 11*d + 3, -3*q - 2*d = -15. Solve -5*v = -5*f + 5, -v - f = q*f + 1 for v.
-1
Let c(a) = 5 - 9*a + 3*a + a**3 + 1 + 5*a**2. Let o be c(-6). Let s(u) = -u**2 - 6*u - 4. Let n be s(-4). Solve 2*p + o - 4 = -2*y, 10 = -3*p + n*y for p.
-2
Let o be (-3)/2*3/(99/(-110)). Solve o*m - 10 = -5*s + 10, -m = -3*s - 4 for s.
0
Let g be 8/80 - 716/(-40). Solve 2*w - 3*b + 3 = -11, -g = -2*w - 5*b for w.
-1
Let w = 811 + -808. Solve -4 = 3*d + w*t - 1, -4*t + 21 = -d for d.
-5
Let z = -787 - -789. Solve 0 = 4*v - z*x + 2, 3*v - 3 = -x - 2*x for v.
0
Suppose 6*s = 14*s. Suppose -2*z + z + 3*o + 10 = 0, s = -3*o - 6. Solve -2*n = -5*i - 2, -5*i + z*i + 4 = 4*n for n.
1
Suppose 13 = -5*j + 2*u - 249, -4*u = -3*j - 146. Let c = 90 + j. Let q = c - 32. Solve 30 = -2*p - q*f, -3*p + 3*f - 10 = 2*p for p.
-5
Let p = 423 + -398. Solve 2*d = 2*m + 10, 0*m + p = 5*d + m for d.
5
Suppose 8*g = -3*s + 6*g + 24, 0 = -3*s - 5*g + 24. Let l be ((-28)/s + 3)*0/(-2). Solve 2*k - m + 1 + 2 = l, 0 = k + 4*m + 6 for k.
-2
Let g be -5 + (-9)/(-3) - 77. Let s = -61 - g. Solve -6*h + s = z - h, 0 = z + h - 2 for z.
-2
Let d(a) = 2*a - 16. Let l be d(0). Let s = l - -19. Suppose -19 + 3 = -3*r - 2*i, 0 = s*r - 2*i - 20. Solve 2*q + r*c + 10 = 2*c, 2*q + 2*c + 8 = 0 for q.
-3
Suppose -43*l + 32 = -35*l. Solve 5*r + 35 = -l*p, -r - 5*p = 13 + 15 for r.
-3
Suppose 4*m - 6 = 10. Suppose 0 = -5*c + 11 + m. Let h = c + -3. Solve h*n = -2*g + 2*n - 2, -4*n = g - 4 for g.
0
Suppose -5*o + 2*a = -10*o - 190, -5*o + 4*a = 160. Let k = o + 16. Let s be k/(-9) - 12/54. Solve 4*b - b + 4*y - 32 = 0, -3*b + s*y + 2 = 0 for b.
4
Let j(z) = -2*z - 1. Let c be j(-3). Suppose 5*t = 2*g - 16, c*t + 20 = 4*g + t. Solve 4*n + 5*v = -n + 20, -2 = -g*n + 2*v for n.
2
Suppose 2*n - 1250*b - 50 = -1252*b, -5*n + 119 = -b. Suppose 3*o + i = 18, 3*o - 10 = 3*i - 4. Solve 0 = -2*v - o*l + n, 0*v = -v + l - 2 for v.
2
Suppose -5*x + 15 = -0*s - 5*s, -x + 3*s + 3 = 0. Let k be (-1)/5 + x/15. Suppose -4*n = -6*n + 6. Solve d - 2*o + 5 = k, 2*o - 30 = -n*d
|
{
"pile_set_name": "DM Mathematics"
}
|
+ 1)*(p + 2)**2/5
Let w = -21 + 45/2. Let i be (-1)/(-3)*(-3)/(-2). Factor -i*c**3 - 3/2*c**2 - 1/2 - w*c.
-(c + 1)**3/2
Suppose -5*v + 0*v = -15. Let w(d) = -d**2 + 6*d + 31. Let z be w(9). Factor 1/3*r + 0 - 1/3*r**2 + 1/3*r**z - 1/3*r**v.
r*(r - 1)**2*(r + 1)/3
Suppose 2*q = -3 + 13. Solve -6*n - 4*n**4 + 4*n**2 - 2*n**4 + 6*n**q + 4*n**3 - 4*n**5 + 0 + 2 = 0.
-1, 1
Let b be -1 - (5 + -2) - 7. Let t be (-10 - b) + 2/(-3). Factor -t*l**4 + 0*l + 0 + 4/3*l**3 - 4/3*l**2.
-l**2*(l - 2)**2/3
Let w(f) = 2*f**4 + 0*f**3 + 5*f - f**4 - 6*f - f**3. Let x(b) = 4*b**4 + 2*b**3 + 2*b**2 - 2*b. Let h(v) = -2*w(v) + x(v). Suppose h(q) = 0. What is q?
-1, 0
Let v(x) be the first derivative of -12*x**5/5 + 2*x**4 + 4*x**3 - 4*x**2 - 9. Find u such that v(u) = 0.
-1, 0, 2/3, 1
Let v = 12 - 7. Let g(b) be the first derivative of 0*b + 2/15*b**v - 2 + 0*b**2 - 1/6*b**4 + 0*b**3. Factor g(d).
2*d**3*(d - 1)/3
Let u(q) be the first derivative of q**7/6720 + q**6/1440 + q**5/960 + 3*q**3 + 6. Let i(b) be the third derivative of u(b). Factor i(g).
g*(g + 1)**2/8
Factor 0 + 0*j - 5/3*j**2 + 5/3*j**3.
5*j**2*(j - 1)/3
Let u(n) be the third derivative of n**8/448 - n**7/140 - n**6/160 + n**5/40 + 3*n**2. Determine m, given that u(m) = 0.
-1, 0, 1, 2
Let 2/3*f + 2*f**2 + 2*f**3 + 2/3*f**4 + 0 = 0. What is f?
-1, 0
Let t(n) be the second derivative of n**10/30240 - n**9/15120 - n**4/4 - 2*n. Let l(f) be the third derivative of t(f). Solve l(z) = 0 for z.
0, 1
Let o(b) be the third derivative of -1/2*b**3 - 1/20*b**5 + 0*b + 1/4*b**4 + 0 - 10*b**2. Factor o(t).
-3*(t - 1)**2
Let p(t) be the second derivative of t**6/360 + t**5/40 + t**4/12 - t**3/3 - 5*t. Let x(s) be the second derivative of p(s). Factor x(i).
(i + 1)*(i + 2)
Find b such that 16*b**2 - 22*b**2 + 2*b**4 + 2*b**3 + 7*b**2 - b**4 = 0.
-1, 0
Let u(l) = l**3 + 12*l**2 - 30*l - 28. Let p be u(-14). Suppose p*m**4 + 0*m**3 + 0 + 1/3*m**5 + 0*m + 0*m**2 = 0. Calculate m.
0
Solve -4/5*j**2 - 4/5*j + 0 = 0.
-1, 0
Let c(s) = -4*s**2 + 2*s + 5. Suppose -5 = 2*z + 29. Let r(m) = 12*m**2 - 5*m - 14. Let t(q) = z*c(q) - 6*r(q). Solve t(n) = 0 for n.
-1/2
Let g(x) be the third derivative of -x**5/150 + 2*x**4/15 - 16*x**3/15 + 3*x**2. Let g(z) = 0. Calculate z.
4
Let a(y) = -y + 14. Let x = 9 - -4. Let i be a(x). Solve 0*o - 1/4*o**3 - 3/4*o**2 + i = 0 for o.
-2, 1
Solve -52*q**4 + 467*q**5 - 116*q**2 - 118*q**4 - 417*q**5 + 212*q**3 + 26*q - 2 = 0 for q.
1/5, 1
Let g = -13 + 10. Let r = -3 - g. Determine p, given that 1/4*p**3 + 0 + 1/4*p**4 + 0*p + r*p**2 = 0.
-1, 0
Suppose 9 = 12*v - 9*v. Let t(l) be the first derivative of 1 - l**2 + l + 1/3*l**v. Solve t(w) = 0.
1
Suppose w - 12 = -5*r, 12 + 0 = 3*r + 3*w. Find c, given that -2 - r*c - 1/2*c**2 = 0.
-2
Determine o so that -3/2*o**5 + 0*o**2 + 6*o**4 + 0*o + 0 - 9/2*o**3 = 0.
0, 1, 3
Let o(m) = -m**2 + 17*m - 9. Let v(l) = -4*l + 2. Let s be (0 + 3)*4/(-6). Let i(q) = s*o(q) - 9*v(q). Factor i(k).
2*k*(k + 1)
Let a = -16 - -41. Let i = a + -25. What is s in 16/11*s**3 + 2/11*s + i + 12/11*s**2 = 0?
-1/2, -1/4, 0
Factor 0 - 2*s - 7/2*s**4 - 23/2*s**3 - 10*s**2.
-s*(s + 1)*(s + 2)*(7*s + 2)/2
Let x(i) be the second derivative of -1/4*i**4 - 1/28*i**7 - 3/8*i**5 + 0*i**3 - 1/5*i**6 - i + 0*i**2 + 0. Factor x(k).
-3*k**2*(k + 1)**2*(k + 2)/2
Find n, given that -4*n**4 + 8*n**3 - 3401 + 4*n**2 + 3401 - 8*n = 0.
-1, 0, 1, 2
Solve 2*v + 2*v - 48*v**3 - 8*v**2 + 8 + 44*v**3 = 0.
-2, -1, 1
Let n be (7/(-1050))/(12/(-10)). Let z(l) be the third derivative of 0 + n*l**6 + 0*l**3 + 0*l**5 + 0*l**4 - 2*l**2 + 0*l - 1/315*l**7. What is x in z(x) = 0?
0, 1
Let t(v) = -v**2 + 10*v + 13. Let z be t(11). What is r in -6*r**3 - 2*r**3 - 2 - 4*r**4 + r**2 + 5*r + 0*r**3 + 3*r**5 + 5*r**z = 0?
-1, 1/3, 1, 2
Suppose 2*x + 2 - 6 = 0. Suppose -5*w + 9 = -x*w. Determine u, given that 0*u**2 + 2*u**4 - u**2 - u**2 - 4*u**w + 4*u**2 = 0.
0, 1
Let k be (-16)/(-156)*(-6 + -1). Let f = 18/13 + k. What is r in 0*r - 2/3*r**3 - f*r**2 + 0 + 2/3*r**5 + 2/3*r**4 = 0?
-1, 0, 1
Let c be 155/10 + 1/4. Let k = c + -57/4. Factor 0 + 2*q**2 - k*q**3 - 1/2*q.
-q*(q - 1)*(3*q - 1)/2
Let g(y) be the third derivative of -3*y**7/14 + y**6 - 11*y**5/6 + 5*y**4/3 - 5*y**3/6 - 12*y**2. Factor g(n).
-5*(n - 1)**2*(3*n - 1)**2
Let g(b) be the second derivative of -2*b + 0 - 7/9*b**3 - 4/9*b**4 - 1/3*b**2 + 8/15*b**5. Factor g(l).
2*(l - 1)*(4*l + 1)**2/3
Suppose 3*m = 5*b - 97, -b + 0*b - 2*m = -22. Factor 20*q - b*q - 8*q**4 - 2*q**2 - 10*q**3.
-2*q**2*(q + 1)*(4*q + 1)
Let -36/5 - 1/5*a**2 - 12/5*a = 0. What is a?
-6
Let t(j) = j**4 + j**2 - j + 1. Let p(n) = 5*n**4 + n**3 + 9*n**2 - 7*n + 4. Let k(w) = -p(w) + 6*t(w). Factor k(y).
(y - 2)*(y - 1)*(y + 1)**2
Factor 0 - 8/5*l**3 - 2*l**2 - 2/5*l**4 - 4/5*l.
-2*l*(l + 1)**2*(l + 2)/5
Let q = 15/14 + -9/28. Factor 1/2 + 1/4*k**2 + q*k.
(k + 1)*(k + 2)/4
Let u be ((-3)/(-6) + 1)/(-81). Let z = u + 113/270. Factor -1/5*n**3 - z*n**2 - 1/5*n + 0.
-n*(n + 1)**2/5
Let x(i) = -4*i**2 - 4*i - 3. Let j be -7 + 4 + -1 + 2. Let l = -4 - j. Let v(f) = 3*f**2 + 3*f + 2. Let p(g) = l*x(g) - 3*v(g). Factor p(c).
-c*(c + 1)
Suppose 3*v - 107 + 29 = 0. Suppose -5*t - 5*s + 2 = -28, -5*t - 4*s + v = 0. Factor -2*u - 3*u**2 - 2*u**2 + 3*u**t.
-2*u*(u + 1)
Determine q, given that 3/5*q - 1/5*q**3 - 2/5 + 0*q**2 = 0.
-2, 1
Let s(g) be the second derivative of -g**6/10 - 3*g**5/20 + g**4/4 + g**3/2 - 9*g. Factor s(b).
-3*b*(b - 1)*(b + 1)**2
Let f(z) = -45*z**2 + 24*z - 3. Let o(l) = l**2. Let b(m) = f(m) - 3*o(m). Factor b(p).
-3*(4*p - 1)**2
Let y be 1/(23/(-6) + 4). Let l be 18/y - 57/27. What is c in -8/9*c + 2/9*c**2 + l = 0?
2
Let m(p) be the second derivative of 3/130*p**5 + 2/39*p**4 - 2/13*p**2 - 1/39*p**3 + 0 - 4*p. Factor m(a).
2*(a + 1)**2*(3*a - 2)/13
Let n = -4613/9 - -513. Factor 2/9 - 2/9*x**4 - n*x**3 + 0*x**2 + 4/9*x.
-2*(x - 1)*(x + 1)**3/9
Let q(c) be the third derivative of c**8/1848 - c**6/330 + c**4/132 - 4*c**2. Solve q(p) = 0 for p.
-1, 0, 1
Let o be 2 - (3 - 527/525). Let c(b) be the third derivative of 0*b**4 + 0 + 0*b**3 + 0*b**5 + b**2 - o*b**7 + 0*b - 1/600*b**6. Suppose c(n) = 0. Calculate n.
-1/4, 0
Let z be 35/20 + (-3)/2. Factor -f + z*f**2 + 3/4.
(f - 3)*(f - 1)/4
Let h(y) = -3*y**4 - 9*y**3 - 5*y**2 + 4*y - 2. Let u(c) = c**4 + 4*c**3 + 2*c**2 - 2*c + 1. Let d(f) = 2*h(f) + 5*u(f). Factor d(p).
-(p - 1)**3*(p + 1)
Suppose 4*f = 16, -f = 6*x - 2*x - 12. Factor 0 - 2/3*o**3 - 2/9*o**5 + 0*o - 2/3*o**4 - 2/9*o**x.
-2*o**2*(o + 1)**3/9
Factor 18/11*x**4 - 4/11 - 50/11*x**3 - 6/11*x + 42/11*x**2.
2*(x - 1)**3*(9*x + 2)/11
Suppose 3*w + 5*h = 4*h - 126, 4*w = -3*h - 173. Let q = w + 125/3. Solve q*x**3 + 4/3*x**2 + 2/3*x + 0 = 0.
-1, 0
Let h(v) be the first derivative of -243*v**4/4 - 36*v**3 - 6*v**2 - 4. Factor h(q).
-3*q*(9*q + 2)**2
Let y(z) = z. Let f(t) = 2. Let h(x) = f(x) + y(x). Let o be h(0). Suppose -10*g - g**3 - 20*g**2 - 10*g**4 - o*g**5 - 19*g**3 - 2 + 0 = 0. What is g?
-1
Suppose -n - 2*n = 2*c - 12, -53 = -5*c + 4*n. Let g be 3/c + (-16)/(-6). Find q such that -3/4*q + 3/2*q**g - 1/2 - 3/4*q**5 + q**2 - 1/2*q**4 = 0.
-1, -2/3, 1
Let l(p) be the second derivative of p**6/900 - p**5/150 + p**4/60 - 2*p**3/3 - 7*p. Let t(x) be the second derivative of l(x). Factor t(c).
2*(c - 1)**2/5
Let m(a) be the second derivative of -3*a - 1/42*a**4 - 4/21*a**3 + 0 - 4/7*a**2. Determine u, given that m(u) = 0.
-2
Let h(a) = -51*a**4 - 49*a**3 + 91*a**2 + 49*a - 40. Let k(p) = 10*p**4 + 10*p**3 - 18*p**2 - 10*p + 8. Let s(d) = -2*h(d) - 11*k(d). Let s(j) = 0. What is j?
-2, -1, 1/2, 1
Let a(l) be the third derivative of -3*l**2 + 0*l**3 - 2/525*l**7 + 0*l + 0*l**4 + 0 + 0*l**5 + 1/300*l**6 + 1/840*l**8. Factor a(q).
2*q**3*(q - 1)**2/5
Let n be ((-234)/65)/(8/110). Let x = n - -54. Solve -6*s**2 + 21/2*s - x = 0 for s.
3/4, 1
Let v(p) = 2*p**2 - 4*p + 2. Let h(w) = -3*w**2 + 4*w - 3. Let u(o) = -7 - 1 + 3*o - 4*o. Let c be u(-4). Let x(d) = c*h(d) - 5*v(d). What is q in x(q) = 0?
-1
Let g = 14 - 15. Let r = 1 - g. Factor 4/3*z**r - 4/3 - 2/3*z**3 + 2/3*z.
-2*(z - 2)*(z - 1)*(z + 1)/3
Let i(y) = 6*y**3 - 17*y**2 - 5*y + 10. Let w be i(3). Factor 0*x + 0*x**2 + 2/7*x**5 + 0*x**w + 0 - 2/7*x**3.
2*x**3*(x - 1)*(x + 1)/7
Let o(s) be the first derivati
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{
"pile_set_name": "DM Mathematics"
}
|
(f) = f**2 + 1. Let j(r) be the second derivative of -r**4/6 + r**3/3 - r**2 - 24*r. Let v(u) = 3*c(u) + j(u). Give v(-1).
0
Let m = -8 + 12. Let d(x) be the first derivative of 1/3*x**3 + 6 + 6*x - 5/2*x**2. Determine d(m).
2
Let y(q) be the third derivative of q**5/60 - q**4/24 + q**3/3 + q**2 - 50*q. Calculate y(1).
2
Let k be (-2)/6 - (336/(-18))/8. Let x(g) = -g**3 + 7*g**k + 29 - 5*g - 20 - 10. Suppose 4*i + 0*i + 18 = 5*m, 0 = -3*m + 2*i + 12. Calculate x(m).
5
Let r(g) = -g**2 - 3*g - 5. Let k = -1254 + 1250. Determine r(k).
-9
Let o(t) = -12*t. Let v(q) = 25*q - 21. Let m(b) = 2*o(b) + v(b). Determine m(-13).
-34
Let s(t) be the first derivative of -t**4/4 + 8*t**3/3 + 3*t**2 + t + 144. Give s(9).
-26
Suppose 5*l - 3*u = 93, -4*u + 0 = 2*l - 32. Let h = l + 1. Let d = 17 - h. Let i(w) = w**3 + w**2 - w - 1. Give i(d).
-3
Let y(p) = -30*p + 356. Let u be y(12). Suppose 2*h = 5*m - 2*m + 6, -4*h + 3*m = -6. Let o(g) = -6 + g + 2 + g + h*g. Calculate o(u).
-12
Let j = -63 + 59. Let y be -2 - (-3 + 3 - j). Let c(a) = 6*a + a**2 + 4 - 2 + 4. Calculate c(y).
6
Suppose -5*x + 2*x + 456 = 0. Suppose 120 + x = 2*f. Let p(r) = -r + 3*r + 131 - f. Give p(6).
7
Let v(h) be the second derivative of h**5/60 + h**4/12 + h**3/3 - 2*h. Let f(n) be the second derivative of v(n). Let x be 4/3 + 154/(-21). Determine f(x).
-10
Let x(u) = -2*u**2 - 5 - 993*u**3 - 4*u**2 - 2*u**2 + 10*u + 994*u**3. Calculate x(6).
-17
Let b(j) = -j**2 + 8*j + 7. Let m(y) = -y**2 + 7*y + 8. Let a(q) = 3*b(q) - 4*m(q). Give a(6).
1
Let w(x) = -x + 3. Let a(n) = 5*n**2 + 2*n - 30. Let j(g) = -14*g**2 - 5*g + 90. Let t(y) = 11*a(y) + 4*j(y). Let z be t(6). Calculate w(z).
-3
Let d(i) be the third derivative of -5*i**4/24 - 3*i**3/2 + 231*i**2 - 2. Give d(-5).
16
Let t(j) = -j**2 + j + 12. Let r(z) = -z**2 + 5. Let l(s) = 5*r(s) - 2*t(s). What is l(-2)?
-7
Let g(a) = a - 3. Let d be g(9). Let b(p) = -5*p**3 + 4*p**3 - 3*p + 4*p**2 + 216 + 3*p**2 - 223. Calculate b(d).
11
Let y be -2*((-7)/2 - -6). Let u be (0 + -3)/(3/(-6)). Let v(i) = 20*i + 26. Let j(s) = 7*s + 9. Let m(g) = u*v(g) - 17*j(g). Give m(y).
-2
Let s = 2700 + -2693. Let a(l) = 6*l**2 - l + 9. Let v(r) = -r**2 - r - 1. Let t(h) = a(h) + 5*v(h). What is t(s)?
11
Let n(w) be the third derivative of w**5/20 - w**4/12 - w**3/6 + 156*w**2. Give n(3).
20
Let k(f) be the third derivative of 0*f**3 - 5*f**2 + 0 - 1/8*f**4 + 0*f - 7/720*f**6 + 0*f**5. Let a(v) be the second derivative of k(v). What is a(1)?
-7
Let a(f) = f**3 + 7*f**2 - 8*f - 5. Suppose 30 = 3*o - 3*c, -4*c + 2 = o - 8. Let z be 9/3 + 0 - 1 - o. Give a(z).
-5
Let u(t) be the second derivative of -t**7/840 + 7*t**6/360 - 3*t**5/40 + 3*t**4/8 + 2*t**3 - 20*t. Let f(c) be the second derivative of u(c). Calculate f(6).
-9
Let b be 326/(-30) + 28/(-210). Let l(t) = 2*t + 15. What is l(b)?
-7
Let u(a) = a + 2. Let s = -15 - -3. Let w = -9 - s. Suppose 0 = -w*h - 2*h. What is u(h)?
2
Let v(j) be the second derivative of -j**5/20 + j**4/4 + j**3/6 - 92*j. What is v(3)?
3
Let l(j) = -20*j + 54. Let p(c) = 14*c - 36. Let g(f) = -5*l(f) - 7*p(f). What is g(10)?
2
Suppose 3*n = 9 + 30. Let r(g) = -3*g + 4*g + n + 0*g. What is r(-6)?
7
Let a(j) be the third derivative of -j**6/120 + 3*j**5/20 - 3*j**4/8 + 5*j**3/6 - 3*j**2. Let c be (6/(-12))/((-15)/240). Calculate a(c).
-3
Let f = -11 - -10. Let t(y) = -12*y - 1. Let r be t(f). Let l(x) = -x**3 + 12*x**2 - 11*x. Let z be l(r). Let v(s) = s + 9. Calculate v(z).
9
Let x(g) = -1 - 5*g**2 - g**3 + 3 + 9*g + 2*g - 13*g. Let p be x(-4). Let d(m) be the third derivative of -m**5/60 - m**4/3 - 4*m**3/3 - 5*m**2. Calculate d(p).
4
Let x(f) = -8*f - 26. Let u(n) = 3*n + 9. Let w(t) = -17*u(t) - 6*x(t). What is w(-6)?
21
Let r(u) = 12*u + 206. Let i be r(-17). Let q(d) be the first derivative of -d**4/2 + 2*d**2 - 3*d + 9. Determine q(i).
-11
Let w(g) = -379 - g**2 + 376 - 3*g + 2*g. Calculate w(5).
-33
Let c(o) be the third derivative of -o**6/360 - 3*o**5/40 + 5*o**4/24 - 7*o**3/6 + 16*o**2. Let w(u) be the first derivative of c(u). Calculate w(-10).
-5
Suppose 10 = -2*g - 3*g. Let a = g - -7. Suppose -3*n = -7*n - 2*y - 26, -a*n + y - 29 = 0. Let u(z) = z + 4. Give u(n).
-2
Let u be (-9 - -8)/((-1)/3). Suppose u*t - 7*d - 45 = -2*d, 12 = -4*d. Suppose -8*v - t = -10*v. Let g(k) = k**2 - 4*k + 3. Give g(v).
8
Let r = 452 + -459. Let i(w) = 3*w + 14. Calculate i(r).
-7
Suppose 29*p = 51*p - 44. Let y(z) = -2*z**2. What is y(p)?
-8
Let m(f) = -f**3 - 7*f**2 - 3*f + 24. Let x be m(-6). Let p(l) = -2*l + 19. Let b(k) = k - 9. Let y(t) = 9*b(t) + 4*p(t). Give y(x).
1
Let w(q) = q**2 - 2*q - 8. Let y be w(0). Let r(k) = -k**2 - 12*k - 4. Determine r(y).
28
Suppose 11 = 5*m - 24. Suppose 3*h - 19 = -m. Let a(f) = -h*f - 2*f + 5 + 7*f. What is a(-4)?
1
Let q(u) be the second derivative of u**5/5 - u**2/2 - 4*u. Let f(p) = 15*p + 14. Let b be f(-1). What is q(b)?
-5
Suppose -2*j - j + 12 = 0. Let f(d) = -123 + 46 - d + 42 + 38. What is f(j)?
-1
Let p(g) = -10*g - 156. Let j be p(-16). Let n(t) = -t**2 + 5*t + 5. Calculate n(j).
9
Let n(l) be the second derivative of -l**6/360 - l**5/60 - l**4/12 - l**3 + 16*l. Let d(s) be the second derivative of n(s). Calculate d(-2).
-2
Let j(r) = r + 1. Let x be (-3)/2 + (-58)/(-4). Suppose 2*c - x = 3*c. Let g = c - -13. Give j(g).
1
Let a(s) = -12*s**3 - 2*s**2 - s. Suppose p - 23*k = -24*k + 1, 4*k - 8 = 0. Give a(p).
11
Let d(r) = -r**3 + 6*r**2 + 1. Let u be d(6). Suppose 25 = 5*f, -3*f + 19 = i + u. Let h(a) = -3*a - 4*a**i + 1 + 8*a**3 - 5*a**3 + 4*a**2. Determine h(3).
1
Let z(a) = -a**2 - 16*a - 15. Let d = 21 - 35. Give z(d).
13
Let u(d) = -d**2 - d - 1. Let c(k) = 2*k**2 + 11*k - 2. Let t(l) = -c(l) - 3*u(l). Calculate t(6).
-7
Let u(n) = 17*n. Suppose 0 = -p - 2*z + 9, 0 = 9*p - 13*p - 5*z + 24. What is u(p)?
17
Let a be 2/4 + (-126)/(-4). Let z(m) = 2*m - 33 + a - 4*m + 3*m**2 - 2*m**2. Determine z(3).
2
Let i(z) = 11*z**2 - 59*z - 5. Let h(c) = 9*c**2 - 48*c - 4. Let b(n) = -5*h(n) + 4*i(n). Let s = -6 - -11. Calculate b(s).
-5
Let f(s) = -s - 626 + 2*s + 0*s + 602. What is f(15)?
-9
Let w(l) = l + 1. Let c(s) = -5*s - 6. Let k(v) = c(v) + 6*w(v). Let b be (132/(-110))/(2/5). Give k(b).
-3
Let m = 26 - 20. Let x(z) = -2*z**2 - 5*z**2 + m*z + 3 + 8*z**2. Determine x(-7).
10
Let d(z) = -z**2 + 8*z - 6. Suppose 0 = 3*q + 1 + 26. Let y be 188/36 + 2/q. Determine d(y).
9
Let x(a) = -3*a**3 + 6*a**2 - 6*a. Let f(j) = 16*j**3 - 29*j**2 + 29*j + 1. Let z(m) = 2*f(m) + 11*x(m). Let n(w) = 2*w - 3. Let y be n(5). Calculate z(y).
-5
Let g be -14 + 9 + (-100)/(-10). Let i(r) = -r**2 + 7*r + 3. Give i(g).
13
Let o(y) = 2 - 6*y**2 + y**3 - 2 - 2 + 103*y - 99*y + 2*y**2. Calculate o(2).
-2
Suppose 4*a - 2 + 45 = -k, 2*a = 4*k - 44. Let y(l) = l + 6. Calculate y(a).
-6
Let q(p) = p**3 - 8*p**2 - 4*p + 10. Suppose 0 = 5*v + 4*f - 32, 5*v + 13*f - 15*f - 44 = 0. Give q(v).
-22
Let l(o) = -10*o + 15. Let t be l(2). Let b(r) = r**2 + 2*r - 7. Determine b(t).
8
Let g(v) = -2 + 3*v - 4*v**3 + 6*v**3 + v - 4*v**2. Let l(j) = -j**3 + j**2 - 2*j - 5. Let o be l(0). Let n(r) = r + 7. Let u be n(o). Determine g(u).
6
Suppose x + 13*u = 9*u + 5, -4*x - 6 = 3*u. Let n(y) = -y + 5. Determine n(x).
8
Suppose -2*k = -54*l + 50*l + 16, -3*l - k = -7. Let s(n) = 10*n**2 + 3*n + 2. Let z(o) = 11*o**2 + 4*o + 3. Let u(q) = 7*s(q) - 6*z(q). Calculate u(l).
23
Let j(k) = 506 + 2*k - 283 + 2*k**2 - 222 + k**3. Suppose -10 = -2*q + 4*i, 0 = -4*q - 3*i + 2*i - 16. Determine j(q).
-14
Let s(j) = -j**2 + 14*j + 3. Let g(l) = l**2 - 13*l - 4. Let h(x) = 2*g(x) + 3*s(x). Let v be h(16). Let n(p) = 10*p - 1. What is n(v)?
9
Let j(a) be the first derivative of 3*a**2/2 - 14. Let q(o) = o**3 + 4*o**2 - 5*o + 1. Let z be q(-5). Let w = 3 - z. Calculate j(w).
6
Let j(z) = 7*z + 164. Let s be j(-23). Let d(k) = -k**3 + 2*k**2 + 2*k - 3. Determine d(s).
-6
Let n(c) = c**3 - 3 + 5 - 1 - 9*c**2 + 5*c + 8. Let g be n(9). Let t be 1/6 - (-45)/g. Let k(i) = 8*i**3 + i**2 - i. What is k(t)?
8
Let t(p) = p**3 - 11*p**2 - 12*p + 7. Suppose 3*l + l = -l. Suppose 3*h - 2*v - 36 = -l*v, 4*v = 4*h - 48. Give t(h).
7
Let d be -30 - -29 - (0 + -3). Let i(m) = -2*m**3 + m**2 - m + 2. Determine i(d).
-12
Let r(n) = -n**3 - 3*n**2 - 3*n - 1. Let f(q)
|
{
"pile_set_name": "DM Mathematics"
}
|
67071, 3334156, 5001253, 6668362?
6*k**2 + 1667067*k - 2
What is the c'th term of -17108, -16712, -16158, -15368, -14264?
13*c**3 + c**2 + 302*c - 17424
What is the h'th term of 12836, 50626, 113364, 201044, 313660, 451206, 613676, 801064?
-h**3 + 12480*h**2 + 357*h
What is the r'th term of -3, 329, 1153, 2691, 5165?
37*r**3 + 24*r**2 + r - 65
What is the m'th term of -58352273, -116704551, -175056829?
-58352278*m + 5
What is the w'th term of 3201, 6382, 9525, 12606, 15601, 18486?
-4*w**3 + 5*w**2 + 3194*w + 6
What is the l'th term of 2793, 2680, 2361, 1728, 673?
-18*l**3 + 5*l**2 - 2*l + 2808
What is the c'th term of -12063, -13313, -14565, -15819?
-c**2 - 1247*c - 10815
What is the g'th term of 6726, 6749, 6808, 6921, 7106, 7381, 7764?
3*g**3 + 2*g + 6721
What is the g'th term of 25304, 25354, 25404, 25454, 25504?
50*g + 25254
What is the c'th term of 1376, 1958, 2930, 4292, 6044, 8186?
195*c**2 - 3*c + 1184
What is the i'th term of 24110, 26878, 29648, 32420?
i**2 + 2765*i + 21344
What is the o'th term of 6957182, 27828607, 62614308, 111314279, 173928514, 250457007, 340899752, 445256743?
-o**3 + 6957144*o**2 + 39
What is the s'th term of 181150, 362442, 543732, 725020, 906306, 1087590, 1268872?
-s**2 + 181295*s - 144
What is the n'th term of 1904, 2536, 3154, 3758, 4348?
-7*n**2 + 653*n + 1258
What is the z'th term of -4852932, -4853123, -4853300, -4853457, -4853588, -4853687, -4853748?
z**3 + z**2 - 201*z - 4852733
What is the h'th term of -187, -2279, -8237, -19993, -39479, -68627, -109369?
-322*h**3 - h**2 + 165*h - 29
What is the g'th term of -266843, -1067335, -2401495, -4269329, -6670843?
-g**3 - 266828*g**2 - g - 13
What is the n'th term of 718, 21403, 55868, 104113, 166138?
6890*n**2 + 15*n - 6187
What is the z'th term of -208597370, -417194742, -625792114?
-208597372*z + 2
What is the j'th term of -385899, -771726, -1157553, -1543380, -1929207, -2315034?
-385827*j - 72
What is the x'th term of 248061, 247845, 247629?
-216*x + 248277
What is the r'th term of -8942, -71617, -241702, -572891, -1118878, -1933357, -3070022, -4582567?
-8949*r**3 - 11*r**2 + r + 17
What is the z'th term of -45156, -181891, -409774, -728799, -1138960, -1640251, -2232666, -2916199?
z**3 - 45580*z**2 - 2*z + 425
What is the x'th term of -8640, -8926, -9212?
-286*x - 8354
What is the m'th term of 505, 434, 257, -74, -607?
-8*m**3 - 5*m**2 + 518
What is the k'th term of 31615, 32357, 33083, 33787, 34463, 35105, 35707?
-k**3 - 2*k**2 + 755*k + 30863
What is the p'th term of 33829, 135320, 304443, 541174, 845489, 1217364, 1656775, 2163698?
-4*p**3 + 33840*p**2 - p - 6
What is the s'th term of 16869, 67721, 152489, 271185, 423821, 610409, 830961, 1085489?
2*s**3 + 16946*s**2 - 79
What is the h'th term of -52632, -52656, -52686, -52722, -52764, -52812, -52866?
-3*h**2 - 15*h - 52614
What is the y'th term of -235517, -471057, -706607, -942161, -1177713?
y**3 - 11*y**2 - 235514*y + 7
What is the r'th term of -2874906, -2875382, -2876176, -2877288, -2878718, -2880466, -2882532?
-159*r**2 + r - 2874748
What is the h'th term of 16197, 34286, 52375, 70464?
18089*h - 1892
What is the r'th term of 6107543, 6107545, 6107549, 6107555?
r**2 - r + 6107543
What is the i'th term of -9284747, -9284743, -9284739, -9284735, -9284731?
4*i - 9284751
What is the n'th term of 4263603, 4263589, 4263575?
-14*n + 4263617
What is the c'th term of -1099723193, -1099723194, -1099723195, -1099723196?
-c - 1099723192
What is the w'th term of -10959, -10996, -11101, -11310, -11659, -12184, -12921?
-6*w**3 + 2*w**2 - w - 10954
What is the f'th term of -502672, -502682, -502692?
-10*f - 502662
What is the z'th term of -158444, -1267899, -4279388, -10143929, -19812540?
-158503*z**3 + z**2 + 63*z - 5
What is the y'th term of -543097, -1086214, -1629331, -2172448, -2715565?
-543117*y + 20
What is the i'th term of 38282, 33465, 28648, 23831?
-4817*i + 43099
What is the n'th term of -3539115, -3539121, -3539127, -3539133, -3539139, -3539145?
-6*n - 3539109
What is the o'th term of 36, 547, 1742, 3903, 7312, 12251, 19002?
47*o**3 + 60*o**2 + 2*o - 73
What is the v'th term of 30608, 30614, 30638, 30686, 30764, 30878, 31034?
v**3 + 3*v**2 - 10*v + 30614
What is the s'th term of -51819801, -51819807, -51819815, -51819825, -51819837, -51819851, -51819867?
-s**2 - 3*s - 51819797
What is the d'th term of -8473, -16966, -25497, -34066, -42673, -51318?
-19*d**2 - 8436*d - 18
What is the q'th term of 120, 440, 968, 1704, 2648, 3800?
104*q**2 + 8*q + 8
What is the h'th term of -1952, -8141, -18454, -32891?
-2062*h**2 - 3*h + 113
What is the c'th term of -604, -651, -730, -841, -984, -1159?
-16*c**2 + c - 589
What is the t'th term of 1292, 10423, 35214, 83495, 163096, 281847, 447578, 668119?
1305*t**3 - 4*t - 9
What is the w'th term of -1357980, -2716050, -4074120, -5432190, -6790260, -8148330?
-1358070*w + 90
What is the r'th term of 223, 61, -483, -1409, -2717, -4407, -6479?
-191*r**2 + 411*r + 3
What is the c'th term of -167758, -167787, -167816, -167845, -167874, -167903?
-29*c - 167729
What is the g'th term of 46415, 54080, 66861, 84764, 107795, 135960?
g**3 + 2552*g**2 + 2*g + 43860
What is the x'th term of 6073907, 12147837, 18221769, 24295703, 30369639, 36443577, 42517517?
x**2 + 6073927*x - 21
What is the x'th term of -1762, -6246, -13712, -24154, -37566, -53942, -73276?
x**3 - 1497*x**2 - 266
What is the x'th term of -5633, -6319, -8167, -11759, -17677?
-97*x**3 + x**2 - 10*x - 5527
What is the t'th term of 18945540, 18945539, 18945538, 18945537, 18945536?
-t + 18945541
What is the n'th term of 179143232, 358286463, 537429694?
179143231*n + 1
What is the w'th term of 965, 2352, 4585, 8084, 13269, 20560, 30377?
70*w**3 + 3*w**2 + 888*w + 4
What is the n'th term of 28991, 54881, 80771?
25890*n + 3101
What is the z'th term of -126902, -124100, -119428, -112886?
935*z**2 - 3*z - 127834
What is the z'th term of -24599, -49190, -73687, -98042, -122207?
8*z**3 - z**2 - 24644*z + 38
What is the v'th term of 219821, 220274, 220729, 221186, 221645, 222106, 222569?
v**2 + 450*v + 219370
What is the f'th term of 5571, 11197, 16779, 22317, 27811, 33261?
-22*f**2 + 5692*f - 99
What is the d'th term of 2609191, 2609180, 2609169, 2609158?
-11*d + 2609202
What is the g'th term of -1761, 5993, 18917, 37011?
2585*g**2 - g - 4345
What is the i'th term of 62716507, 62716502, 62716497, 62716492, 62716487?
-5*i + 62716512
What is the a'th term of -1442, -1292, -1142, -992, -842?
150*a - 1592
What is the s'th term of 15936239, 31872466, 47808691, 63744914?
-s**2 + 15936230*s + 10
What is the v'th term of 130557, 524860, 1182037, 2102094, 3285037, 4730872, 6439605?
v**3 + 131431*v**2 + 3*v - 878
What is the g'th term of 20796, 83297, 187508, 333429, 521060, 750401?
20855*g**2 - 64*g + 5
What is the d'th term of 8153444, 8153443, 8153442, 8153441, 8153440?
-d + 8153445
What is the x'th term of 28585, 57164, 85771, 114406?
14*x**2 + 28537*x + 34
What is the d'th term of 24231, 33460, 42689?
9229*d + 15002
What is the g'th term of 16879663, 16879659, 16879653, 16879645, 16879635?
-g**2 - g + 16879665
What is the n'th term of 154, 759, 1814, 3319?
225*n**2 - 70*n - 1
What is the k'th term of 48, 426, 1494, 3612, 7140, 12438?
60*k**3 - 15*k**2 + 3*k
What is the n'th term of 186, 1290, 4306, 10188, 19890, 34366, 54570?
159*n**3 + 2*n**2 - 15*n + 40
What is the f'th term of 8891597, 17783195, 26674793?
8891598*f - 1
What is the c'th term of 4460, 8983, 13552, 18167, 22828, 27535?
23*c**2 + 4454*c - 17
What is the f'th term of -906258, -906282, -906308, -906336?
-f**2 - 21*f - 906236
What is the h'th term of 476989, 476978, 476961, 476938, 476909, 476874, 476833?
-3*h**2 - 2*h + 476994
What is the r'th term of 509, 997, 1557, 2225, 3037, 4029, 5237, 6697?
6*r**3 + 446*r + 57
What is the r'th term of 119670, 956602, 3228276, 7652064, 14945338, 25825470?
119562*r**3 - r**2 + r + 108
What is the n'th term of -450993, -450977, -450951, -450915, -450869?
5*n**2 + n - 450999
What is the f'th term of -2346, -5150, -8412, -12132, -16310?
-229*f**2 - 2117*f
What is the x'th term of -1037, -7811, -25783, -60419, -117185, -201547, -318971?
-911*x**3 - 133*x**2 + 2*x + 5
What is the o'th term of -997, 9032, 36247, 89240, 176603, 306928, 4888
|
{
"pile_set_name": "DM Mathematics"
}
|
6
What is 74/5 of a litre in millilitres?
14800
What is 11.75557ml in litres?
0.01175557
What is 7/4 of a litre in millilitres?
1750
What is seventy-five halves of a decade in years?
375
What is 1/4 of a century in months?
300
What is 4.464581 millilitres in litres?
0.004464581
How many micrograms are there in one quarter of a milligram?
250
How many kilograms are there in 41.6363t?
41636.3
What is 2/27 of a day in seconds?
6400
How many millennia are there in 27.606438 months?
0.0023005365
How many years are there in 27/4 of a millennium?
6750
What is 5/4 of a litre in millilitres?
1250
How many centuries are there in 6276.362 years?
62.76362
How many millilitres are there in 24.16194 litres?
24161.94
How many centimeters are there in 3/25 of a meter?
12
Convert 7.003665 millimeters to micrometers.
7003.665
How many millilitres are there in 12/25 of a litre?
480
How many decades are there in 497073.2 millennia?
49707320
What is eleven halves of a millennium in decades?
550
How many centuries are there in 2369785.5 months?
1974.82125
What is 4890.805 millilitres in litres?
4.890805
How many centimeters are there in 7/2 of a meter?
350
Convert 36203.63um to kilometers.
0.00003620363
What is eighty-one quarters of a litre in millilitres?
20250
How many hours are there in 11/2 of a week?
924
What is 876.3592 years in millennia?
0.8763592
How many centimeters are there in one tenth of a kilometer?
10000
What is six fifths of a decade in months?
144
What is 2.033618 millimeters in kilometers?
0.000002033618
What is 3718.715 kilometers in meters?
3718715
What is 1/6 of a millennium in months?
2000
Convert 51.04479 centimeters to kilometers.
0.0005104479
How many millilitres are there in sixty-seven quarters of a litre?
16750
What is twenty-one fifths of a micrometer in nanometers?
4200
What is 4666.226mm in kilometers?
0.004666226
What is 0.8497991m in centimeters?
84.97991
How many millilitres are there in 19857.1 litres?
19857100
How many millilitres are there in one quarter of a litre?
250
What is 11.50537 meters in micrometers?
11505370
What is 78472.69m in centimeters?
7847269
How many months are there in 3/5 of a century?
720
What is 0.933697nm in millimeters?
0.000000933697
What is 5/24 of a week in hours?
35
How many nanograms are there in 0.5394818mg?
539481.8
How many meters are there in 2.152457um?
0.000002152457
Convert 96.65774 meters to micrometers.
96657740
Convert 116191.5489 microseconds to weeks.
0.00000019211565625
What is fourty-four fifths of a microgram in nanograms?
8800
How many seconds are there in 8032.575ms?
8.032575
What is 0.8458118us in seconds?
0.0000008458118
How many centuries are there in 280352.4 months?
233.627
What is twenty-five eighths of a microgram in nanograms?
3125
What is 3/5 of a millennium in years?
600
What is 7/2 of a litre in millilitres?
3500
What is three eighths of a litre in millilitres?
375
What is 796.77l in millilitres?
796770
Convert 2.696428 milligrams to micrograms.
2696.428
What is 0.1985291 litres in millilitres?
198.5291
Convert 9824.13um to centimeters.
0.982413
What is seven eighths of a microgram in nanograms?
875
What is 14/9 of a day in minutes?
2240
What is 5.140768t in kilograms?
5140.768
How many minutes are there in 166.7028us?
0.00000277838
How many nanometers are there in 402754.6 kilometers?
402754600000000000
How many millilitres are there in seventeen quarters of a litre?
4250
How many litres are there in 8641.955ml?
8.641955
How many nanograms are there in 34/5 of a microgram?
6800
How many decades are there in 5819.648 centuries?
58196.48
What is thirty-eight sevenths of a week in days?
38
How many micrograms are there in nineteen quarters of a milligram?
4750
What is 118481491.8 microseconds in weeks?
0.0001959019375
Convert 361.8036 litres to millilitres.
361803.6
What is 1/4 of a millennium in decades?
25
What is 438512.7ml in litres?
438.5127
Convert 5980.743 weeks to minutes.
60285889.44
How many grams are there in three eighths of a kilogram?
375
How many millilitres are there in one quarter of a litre?
250
What is 3/8 of a microsecond in nanoseconds?
375
How many centuries are there in 9.036086 millennia?
90.36086
What is eleven quarters of a litre in millilitres?
2750
How many milliseconds are there in 3/40 of a second?
75
How many micrograms are there in three eighths of a milligram?
375
Convert 7.746414 milliseconds to nanoseconds.
7746414
Convert 23850.513 months to years.
1987.54275
What is 937800.7 days in milliseconds?
81025980480000
What is one tenth of a litre in millilitres?
100
What is three tenths of a millennium in months?
3600
How many centimeters are there in 3/16 of a kilometer?
18750
What is 3/5 of a microgram in nanograms?
600
Convert 9133.484 micrometers to meters.
0.009133484
Convert 3030.65 weeks to microseconds.
1832937120000000
What is seven halves of a centimeter in millimeters?
35
How many millennia are there in 79393.7 centuries?
7939.37
What is 0.553913l in millilitres?
553.913
How many litres are there in 131.116ml?
0.131116
Convert 1.197586 meters to millimeters.
1197.586
Convert 30960.18ml to litres.
30.96018
How many meters are there in 646.2535 micrometers?
0.0006462535
What is thirteen quarters of a micrometer in nanometers?
3250
What is 5.687282mg in micrograms?
5687.282
What is 1691.699 centimeters in millimeters?
16916.99
What is 68788.16 nanograms in kilograms?
0.00000006878816
What is 9.4929s in nanoseconds?
9492900000
How many microseconds are there in 3/5 of a millisecond?
600
How many nanograms are there in 45/4 of a microgram?
11250
How many seconds are there in 6/25 of a day?
20736
What is 1.409098 millilitres in litres?
0.001409098
How many hours are there in 182.71296ms?
0.0000507536
How many meters are there in 572.2463 micrometers?
0.0005722463
What is 3/25 of a tonne in kilograms?
120
What is 11/2 of a kilogram in grams?
5500
How many microseconds are there in 65006.38 days?
5616551232000000
What is three tenths of a century in years?
30
Convert 73.11249ms to microseconds.
73112.49
How many nanometers are there in fifty-two fifths of a micrometer?
10400
What is 121308.2 kilometers in micrometers?
121308200000000
How many micrograms are there in one fifth of a milligram?
200
How many millilitres are there in 8.398225 litres?
8398.225
What is 278031.24 nanoseconds in minutes?
0.000004633854
What is 2.452317 litres in millilitres?
2452.317
How many kilograms are there in three fifths of a tonne?
600
What is 3/7 of a week in minutes?
4320
How many litres are there in 6341.592 millilitres?
6.341592
Convert 21.97288 decades to millennia.
0.2197288
How many nanoseconds are there in 98.51336s?
98513360000
Convert 0.7803615 milligrams to nanograms.
780361.5
How many decades are there in 15.851256 months?
0.1320938
What is 4433.87kg in grams?
4433870
How many meters are there in 3/10 of a kilometer?
300
How many centuries are there in 13.757154 months?
0.011464295
What is 90590.39 centimeters in meters?
905.9039
How many minutes are there in one tenth of a week?
1008
Convert 0.0068059 weeks to minutes.
68.603472
What is 3.10646ug in tonnes?
0.00000000000310646
Convert 14.426343 months to millennia.
0.00120219525
How many millilitres are there in 0.2018083l?
201.8083
How many millimeters are there in 2950.981cm?
29509.81
What is 1/6 of a year in months?
2
Convert 2.3065551 months to millennia.
0.000192212925
What is 3.614644kg in nanograms?
3614644000000
What is 1/64 of a kilometer in millimeters?
15625
Convert 577.936t to kilograms.
577936
What is 78/7 of a week in days?
78
What is 7.028316 tonnes in grams?
7028316
How many milligrams are there in 32.18798g?
32187.98
How many meters are there in 0.26633 kilometers?
266.33
What is 638.26nm in kilometers?
0.00000000063826
How many nanometers are there in three tenths of a micrometer?
300
What is 44/5 of a millimeter in micrometers?
8800
What is 807565.8km in micrometers?
807565800000000
Convert 491414.6l to millilitres.
491414600
How many grams are there in 844123.2ng?
0.0008441232
What is thirteen quarters of a litre in millilitres?
3250
How many nanograms are there in 21408.83 tonnes?
21408830000000000000
How many centuries are there in 3.485436 months?
0.00290453
What is s
|
{
"pile_set_name": "DM Mathematics"
}
|
*0*h*h)/h)/(h**(1/2)*h))/(h**0)**39 assuming h is positive.
1/sqrt(h)
Simplify (m**(-2/9)*m**(-6)/m)/(((m*m**8*m)/m)/m*m**(6/7)/m*m*m) assuming m is positive.
m**(-1076/63)
Simplify (v**1/v)**(6/13)*v/v**(-2/15)*v**(-2) assuming v is positive.
v**(-13/15)
Simplify (d**9/d**(2/21))**(-39) assuming d is positive.
d**(-2431/7)
Simplify a**(-7)*a*a/(a**(-7)*a)*(a**(-1)*a)**(-26) assuming a is positive.
a
Simplify (n/n**(-28)*n)**(-10) assuming n is positive.
n**(-300)
Simplify ((q**(-2/9))**(-12))**(28/5) assuming q is positive.
q**(224/15)
Simplify p**(1/3)/p**(-2)*(p*p/(p**(2/23)/p*p)*p)/(p*p**(-1/11)/p) assuming p is positive.
p**(4051/759)
Simplify s*s/(s**(1/10)*s)*s/(s**(1/30)/s)*s assuming s is positive.
s**(58/15)
Simplify (b**0)**(29/4)/(b**(-2)/(((b**(-3/7)/b*b*b*b)/b)/b)) assuming b is positive.
b**(11/7)
Simplify (z*(z*z/(((z*z**2)/z)/z))/z*z*z)**(-14) assuming z is positive.
z**(-42)
Simplify ((f*f**(-2/3))**(4/7))**(-39) assuming f is positive.
f**(-52/7)
Simplify ((m/(m/m**(-7)*m))/(m*m**(-4)))**(-12) assuming m is positive.
m**60
Simplify a**(-19)*a**9 assuming a is positive.
a**(-10)
Simplify (n**7)**(18/11) assuming n is positive.
n**(126/11)
Simplify (i**4/i**(-4/9))**(5/4) assuming i is positive.
i**(50/9)
Simplify d**0*d**17 assuming d is positive.
d**17
Simplify c*(c**(-1/4)/c*c*c)/c*c*c*c/(c**(-14)*c) assuming c is positive.
c**(67/4)
Simplify (s**(-2)*s)/s*(s**(3/4)/s)/s*(s*s/(s/(s*s**(1/2))))**(-22) assuming s is positive.
s**(-233/4)
Simplify (c*c**(1/2)*c*c)**38/(c**(1/9)/(c*c*c**(6/11)*c)) assuming c is positive.
c**(13507/99)
Simplify (j**(-14)*j)**(-26/5) assuming j is positive.
j**(338/5)
Simplify m**(-7)/(m*m**(-2/33)*m) assuming m is positive.
m**(-295/33)
Simplify (((x*x/(x/(x**(1/4)/x)))/x)**(5/13))**(34/3) assuming x is positive.
x**(-85/26)
Simplify k**(-2/5)*k*k/k**(-8)*(k*k*k*(k*k**2)/k*k)**(-24) assuming k is positive.
k**(-672/5)
Simplify n**16/n**29 assuming n is positive.
n**(-13)
Simplify h*h**12*h**(19/5) assuming h is positive.
h**(84/5)
Simplify (t*t**0)**(-10/7)*(t**(2/7)*t)**28 assuming t is positive.
t**(242/7)
Simplify ((i/(i*i**(2/15)))/i*(i/i**(-2))/i*i)**(-2/37) assuming i is positive.
i**(-56/555)
Simplify ((w/w**(2/21))/(w*(w**(-10)/w)/w))**(-1/5) assuming w is positive.
w**(-50/21)
Simplify ((g*g*g**(-7/2))/((g**(-1/4)/g)/g))**(-16/7) assuming g is positive.
g**(-12/7)
Simplify (d**(-4/9)*d*(d*d/d**18)/d)**24 assuming d is positive.
d**(-1184/3)
Simplify (u**(4/7)/u)/u*u**7*u*u**(-1/7)/u*u*((u/((u**(-4)/u)/u*u))/u)/u assuming u is positive.
u**(73/7)
Simplify z**(-1/20)/(z*z*z**(2/7)*z*z) assuming z is positive.
z**(-607/140)
Simplify p**(-1/4)/p**3*p/((p/(p*p**(-6)*p*p))/p)*p/((p*p**(-2/17))/p) assuming p is positive.
p**(-281/68)
Simplify i**27/i**(6/17) assuming i is positive.
i**(453/17)
Simplify ((q*q*q**(-13))/q*q*q**(1/8))**20 assuming q is positive.
q**(-435/2)
Simplify ((w/w**6*w*w)/w**6)/(((w/(w/w**(-8)*w))/w)/((w*w/w**(-3/8))/w)) assuming w is positive.
w**(19/8)
Simplify (r**(5/4)*r**(-3/4)/r)**(-10) assuming r is positive.
r**5
Simplify (r**(1/3))**(-16)*r**5/(r/(r*r**7/r*r*r)) assuming r is positive.
r**(23/3)
Simplify ((g**(-2/7)*g)/g**(-5/2))/((g**(-2/9)*g)/g)**(-5/4) assuming g is positive.
g**(185/63)
Simplify ((w**(-1))**16)**(-9) assuming w is positive.
w**144
Simplify (n**(3/2)*n*((n**2*n)/n)/n)/(n*n*n**(-1/2))**(-1/12) assuming n is positive.
n**(29/8)
Simplify (r*r/((r*r**(-7/13))/r))/r*r*r**(2/25) assuming r is positive.
r**(851/325)
Simplify x**6*x**4/x*x/((x/(x*x**(1/4)))/x)*x**(2/17) assuming x is positive.
x**(773/68)
Simplify (d**(-2/55)*d**(11/2))**(-15) assuming d is positive.
d**(-1803/22)
Simplify (a**(2/11)/a**(1/4))/((a*a**(2/7))/a)**(-3/2) assuming a is positive.
a**(111/308)
Simplify (o/(o**(-2/7)/o*o)*o)**20/(o/(o*o**0))**(-33) assuming o is positive.
o**(320/7)
Simplify ((h*h*h*h**(-3))/((h**(-2/5)/h)/h))/(h**0)**(-47) assuming h is positive.
h**(12/5)
Simplify x**(-5)/x*x**(2/11)*x*x*(x**(-3/4)/x)/x*x*x*x**(-5)*x assuming x is positive.
x**(-377/44)
Simplify (i**(1/3)*i*i**(-1/4))/(i**(-11)*i*i*i**1) assuming i is positive.
i**(109/12)
Simplify (o*o**17)/(o**(3/26)*o) assuming o is positive.
o**(439/26)
Simplify (u*u**(-10)*u/(u*u**(-1/16)*u))**(2/3) assuming u is positive.
u**(-53/8)
Simplify (i**(5/3))**(2/71) assuming i is positive.
i**(10/213)
Simplify (p*(p/p**(2/15))/p*p*p*p**(2/13))**(-50) assuming p is positive.
p**(-5890/39)
Simplify z/z**(-3)*z**43/z assuming z is positive.
z**46
Simplify (r/r**(1/8)*r*r**(-3))**(5/18) assuming r is positive.
r**(-5/16)
Simplify (o*(o**(-3/10)/o)/o)/o**(-1/15) assuming o is positive.
o**(-37/30)
Simplify (h*h**2*h*h**(1/11))/(((h*(h*h/h**(-3/8))/h)/h)/(h**(-5)/h)) assuming h is positive.
h**(-289/88)
Simplify b**28/(b*b/(b**15/b)) assuming b is positive.
b**40
Simplify (p**(1/4)*p**(1/4))**(3/37) assuming p is positive.
p**(3/74)
Simplify (u**(-5/2)/u)/u*u/u**(2/17)*u*(u*u**(2/7)/u*u)**45 assuming u is positive.
u**(13147/238)
Simplify (((u/(u**(-5)*u))/u)**(10/7))**(-4) assuming u is positive.
u**(-160/7)
Simplify (((w/(w/(w*w/(w**2*w))))/w)**(-2/37))**14 assuming w is positive.
w**(56/37)
Simplify m**(2/17)/(m/((m/(m**(-1/6)*m))/m)*m*m*m)*(m*m*m/(m*m**11*m))/(m*((m/(m/(m*m**(-2/17)*m)*m))/m)/m) assuming m is positive.
m**(-1489/102)
Simplify (b**(-3)/(b*b*b**(6/5)))**44 assuming b is positive.
b**(-1364/5)
Simplify (r**0*(r**(-1/6)*r*r)/r*r)/((((r*r**(-1))/r)/r)/r*r*(r**(-4)*r)/r*r) assuming r is positive.
r**(41/6)
Simplify (j*j/(((j*j/j**2)/j)/j*j*j)*j*j*j)**2/((j/(j/(j*j/j**(-10))*j*j))/(j*j**(-7/5)*j)) assuming j is positive.
j**(3/5)
Simplify (z**(2/69)*z)/z**(2/17) assuming z is positive.
z**(1069/1173)
Simplify (((y/(y**4/y))/y)/(y**(2/5)*y))**34 assuming y is positive.
y**(-748/5)
Simplify (n**(1/13))**41 assuming n is positive.
n**(41/13)
Simplify b/((b/b**(-7/3))/b)*b*b*(b/b**(-10))/b*b**(-2/5)/(b**(-2/9)*b) assuming b is positive.
b**(427/45)
Simplify ((x/((x**(-1)*x)/x))**(-1/9))**(2/57) assuming x is positive.
x**(-4/513)
Simplify (m*((m/m**(-1/5))/m)/m)**(-38) assuming m is positive.
m**(-38/5)
Simplify (n**(1/6)/n*n*n/((n*n/n**6)/n))**39 assuming n is positive.
n**(481/2)
Simplify ((q/(q**(-8)/q)*q)/q**(-6))**(9/8) assuming q is positive.
q**(153/8)
Simplify (b**0*b*(b**1*b*b*b)/b*b*b)/((b*b*b**2*b)/(((b*b**1)/b)/b)) assuming b is positive.
b
Simplify (d**4/d*d*d*d*d**(2/3))/((d**1/d*d)/d*d)**(3/2) assuming d is positive.
d**(31/6)
Simplify (d**(-1/7))**(2/51) assuming d is positive.
d**(-2/357)
Simplify x**18/((x/x**(1/2))/x) assuming x is positive.
x**(37/2)
Simplify (v**(-1/3))**(21/5)/((v/v**4)/(v*v/(v**3/v))) assuming v is positive.
v**(8/5)
Simplify (z*z**(-21)*z)/(z*z**29/z) assuming z is positive.
z**(-48)
Simplify (x**(2/23)/x)**(2/61) assuming x is positive.
x**(-42/1403)
Simplify f**(1/2)/(f**(7/3)/f)*(f/f**(-4/7))/(f*f**(1/6)*f) assuming f is positive.
f**(-10/7)
Simplify ((m*m**(-1/4))/(m/(((m**(5/8)/m*m*m)/m)/m)))**31 assuming m is positive.
m**(-155/8)
Simplify (a/a**(1/5))**44/((a*a/(a**8/a))/(a*a**(-7)*a)) assuming a is positive.
a**(176/5)
Simplify (b*b/(b*b**(1/4))*(b*b/(b/b**(-1/3)))/b)/(b/(b*(b/b**(-1))/b))**19 assuming b is positive.
b**(233/12)
Simplify (z*z/(z/((z*z**(2/9))/z)))**(3/16) assuming z is positive.
z**(11/48)
Simplify (b**(5/8)*b**(-11))**(2/13) assuming b is positive.
b**(-83/52)
Simplify s**(-4)/((s*s**(5/2))/s)*(s**(-1)/s)**(-45) assuming s is positive.
s**(167/2)
Simplify (u/u**(-2/53))/(u*u**(-36)) assuming u is positive.
u**(1910/53)
Simplify (w*w/w**3)**(2/33) assuming w is positive.
w**(-2/33)
Simplify (r/((r/(r*r/(r*r*r*r/(((r**18*r)/r)/r*r)*r*r*r*r)))/r))/(r/r**(-14)*r) assuming r is positive.
r**(-3)
Simplify ((i*i/((i**(-5/4)/i*i)/i*i))/i)/(i/(i/(i/(i/(i/(i*i*i*i/((i*i**15)/i))))))) assuming i is positive.
i**(-39/4)
Simplify (w*w**(-2/5)/w)**(-21)*w**(-1/10)/(w/(w*w*w**4)) assuming w is positive.
w**(133/10)
Simplify (p/p**2*p)/(p**(-1)*p)*(p**3)**(-4/15) assuming p is positive.
p**(-4/5)
Simplify (l**(-5))**(-14) assuming l is positive.
l**70
Simplify (((c/(c/(c/(c*c**0))))/c)/c)**(-11)/(c/c**(-2))**(-1/8) assuming c is positive.
c**(179/8)
Simplify (s*s*(s**(-4/3)/s)/s*s*s*s*s)**5 assuming s is positive.
s**(40/3)
Simplify x**(-11)*x*((x
|
{
"pile_set_name": "DM Mathematics"
}
|
7*m + 4153 - 4153).
117*m**3
Expand (2 - 1 + 0)*(3*w - 4*w + 2*w) - 2*w + w + 3*w + 3*w - 3*w + 2*w + (-2 - 1 + 5)*(-4 + 2*w + 4) - 10*w + 8 - 8.
-w
Expand (-3 + 0 + 2)*(4 - 5*p + 4 - 2 + p**2).
-p**2 + 5*p - 6
Expand (-2 + 2 + 1)*(9 - 5 - 6 - 10*x).
-10*x - 2
Expand (7*d - 3*d - d)*(-d + 3*d + 0*d + 2*d - 2 + 2 + 0*d - 2*d + 0*d + (2 + 1 - 4)*(4*d + 0*d - 2*d) - 5*d + 2*d + 2*d).
-3*d**2
Expand (v**2 - v**2 + v**2)*(-5*v + 3*v + 4*v)*(4*v - v - v) + 4*v - 4*v + v**4.
5*v**4
Expand h - 5*h + 3*h + 2*h - 3*h - h + (3 - 4 + 0)*(-2 - h + 2) + (-3*h + 4*h - 2*h)*(-3 + 1 + 3 + (2 - 3 + 3)*(1 - 4 + 4) - 3 + 5 - 3 - 1 - 2 + 4).
-5*h
Expand (-1 + 6 + 7)*(3 - 3 + k).
12*k
Expand (-2*f + 0 + 0)*(-3*f**2 + 0*f**2 + f**2 + (-1 + 1 + 2*f)*(0 - f + 0) + 3*f**2 - 38 + 38).
2*f**3
Expand -2*f - 8*f + f + 5*f - 4*f - 3*f + (-f + f + f)*(-2 + 4 - 3) + 0*f - 3*f + f.
-14*f
Expand (-2*l + 2*l**5 + 2*l)*(-16 - 3 + 2) - 1 - 4*l**5 + 6*l**5 - 1.
-32*l**5 - 2
Expand (1 + 4 - 3)*(-4*o**3 - 2*o**4 + 4*o**3) - 2*o**4 + 2 - 2.
-6*o**4
Expand (-2 + 2 - 2*n)*(n**4 - n**4 + 2*n**4) - 2*n**5 + 2 - 2 + (-3*n + 13 - 13)*(-2 + 2 + 3*n**4).
-15*n**5
Expand (0 + 0 - 2*u**5)*(2 - 6 + 2) + (-3*u + u + 0*u)*(9*u**4 - 85*u**3 + 85*u**3).
-14*u**5
Expand (-5*u**2 + 3*u**2 + 3*u**2)*(-u**2 + u**2 - u**2) + 0*u + 0*u + 2*u**4.
u**4
Expand (0*b + 0*b + b**2)*(-3*b**3 + 3*b**3 + 2*b**3)*(-1 + 0 + 0).
-2*b**5
Expand y**2 + 0*y**2 + 0*y**2 + y**2 - 2*y**2 + 2*y**2 + (-3*y + 0*y + 2*y)*(y + 2*y - 5*y) + 2*y**2 + 0*y**2 - 16*y + 19*y.
6*y**2 + 3*y
Expand 0*o - 2*o**4 + 0*o + (-1 - o**2 + 1)*(4*o**2 - 2*o**2 - 3*o**2) + 3*o**3 - o**4 - 3*o**3 + 2*o**4 - 14*o**4 - 18*o**4.
-32*o**4
Expand (3 - 1 - 1)*(-16 + 16 + 4*z)*(z**2 + 0*z**2 + 0*z**2).
4*z**3
Expand (-6 + 4 - 2)*(-3*c + 3*c - c)*(-5*c + 2*c**2 + 5*c).
8*c**3
Expand -5*p**3 + 3*p**3 + 3*p**3 + (p**3 + 3*p**3 - 2*p**3)*(2 - 4 + 1) - 351 + 351 - 12*p**3.
-13*p**3
Expand -3*u**4 + u**4 + 3*u**4 + (-3*u**4 + 3*u**4 - 2*u**4)*(-9 - 1 + 0) - 2*u**4 + u - u.
19*u**4
Expand (-3*b - 2*b**2 + 3*b)*(12 + 16 - 4) + 2*b**2 - 2*b**2 + 2*b**2.
-46*b**2
Expand 0*d - 3*d + 0*d - 2*d - 2 + 2 + (1 + 4 - 4)*(0*d - 2*d + 5*d).
-2*d
Expand (-14*g - 12*g - 13*g)*(-2 + 0 + 0 + (1 - 5 + 2)*(-2 + 0 + 4) + 4 - 2 + 0 + 1 - 2 - 2).
273*g
Expand (f**2 + 2*f**2 + 0*f**2)*(6 - 3 - 1)*(-1 + f + 1).
6*f**3
Expand 0*a + a - 3*a + (-2 - 2 + 2)*(1 - 1 + 2*a) + 2*a + 2*a - 3*a.
-5*a
Expand (-2 - 2 - 2)*(-2*h**4 + h**2 - h**2) - 4*h**4 + 0*h**4 + 3*h**4.
11*h**4
Expand (23*h**2 + 18*h**2 - 8*h**2)*(-2*h + 5*h - 2*h)*(-2 + 5 - 2).
33*h**3
Expand (2 - 2 - 1)*(3*b**2 + 2*b**2 - 7*b**2) + (b + 5*b - 5*b)*(-b - 2*b + 6*b).
5*b**2
Expand (2*h + 3*h - 4*h)*(6*h**2 - 4*h**2 + 0*h**2) + (2*h**2 - 4*h**2 + 3*h**2)*(-5*h + 3*h + 3*h).
3*h**3
Expand (q**3 - q**3 - q**3)*(4 - 3 + 1) + q**3 + 3*q**2 - 3*q**2 + q**3 + 3*q**3 - 2*q**3 - 5 - 3*q**3 - 2 + 6.
-2*q**3 - 1
Expand (-19 + 10 - 12)*(-3 + 3 + 3*v).
-63*v
Expand (-1 + 0 + 0*i - 3*i)*(2 + 1 - 2).
-3*i - 1
Expand (3*l + 2*l - 3*l + (3 + 0 - 1)*(l - 7*l + 4*l) - 1 + 1 + l + l - 4*l + 2*l + (l + l + 0*l)*(0 - 1 + 2) + 2*l + 2 - 2)*(-6*l**4 + 9*l**4 + 14*l**4).
34*l**5
Expand ((-5*a**5 + 3*a**5 + 3*a**5)*(0 - 1 + 2) - 7*a**5 + 3*a**5 + 2*a**5 - 23 + 23 - 2*a**5)*(-3 - 3 - 1).
21*a**5
Expand (-13*q + 4*q + 4*q)*(-1 + 1 - q + (-1 + 1 + 2*q)*(-3 + 2 + 2)).
-5*q**2
Expand (q + 0*q + 2*q)*(0 + 0 - 6*q**4) + 3*q**5 + 4*q**5 - 4*q**5.
-15*q**5
Expand (2*b**3 - 2*b**3 - 3*b**3)*(5 + 0 - 7).
6*b**3
Expand (0*h + 0*h + 2*h)*(0 - 2 + 4) + 0*h + 0*h + 4*h + (3*h - 2*h + 0*h)*(-2 + 0 + 0) - h + 0*h + 2*h.
7*h
Expand (2*f**2 + 3*f**2 - 6*f**2)*(-2*f - f + 6*f)*(3 - 5 - 4 + (0 - 4 + 3)*(2 + 2 - 2)).
24*f**3
Expand -2*k**2 + 0 + 0 + 2*k**2 - 4*k**2 - 4*k**2 + (3*k + 2*k - 3*k)*(-3*k + 2*k - k).
-12*k**2
Expand (-4*r - 2*r + 5*r)*(-4 + 3 + 2)*(r - 3*r + r).
r**2
Expand (-2 - b + 2)*(3 + 3 - 4) + (5*b + 6 - 6)*(-2 + 2 - 3).
-17*b
Expand (2*y**3 + y - y)*(2*y + 1 - 2 - 1) + y**4 + 3*y**4 - 5*y**4.
3*y**4 - 4*y**3
Expand (3 + 3 - 4)*(b**3 - 76*b**4 + 40*b**4 + 7*b**4).
-58*b**4 + 2*b**3
Expand (-11*q**2 + 5*q**3 + 11*q**2)*(-3*q**2 - 2*q**2 + 3*q**2) + 2*q**5 - 3*q**5 - q**5.
-12*q**5
Expand (2*y**2 - 2*y**2 + 2*y**4 + (-2*y**3 - 2 + 2)*(2*y - 2*y - y))*(0*y + 0 + 2 + 3*y).
12*y**5 + 8*y**4
Expand (u - 1 + 1)*(-u - 3*u + 2*u) + 1 + u**2 - 1 + (u + 2*u + 4*u)*(-2*u - 2*u + 3*u) - 2*u**2 - 2*u**2 + 3*u**2.
-9*u**2
Expand ((2 - 2 + 2*z)*(0*z - 2*z + 4*z) + 0*z + 24*z**2 - 10*z**2 - 3*z)*(-z**2 + 3*z**2 - z**2).
18*z**4 - 3*z**3
Expand -31*b**2 - 8*b**2 + 15*b**2 + (0 - 2*b + 0)*(4 - 4 - b).
-22*b**2
Expand (5*b + b + 0*b)*(3 + 5*b**3 - 3).
30*b**4
Expand (-4*n**4 - n**4 + 3*n**4)*(0*n - 4*n + 5*n + (8 + 10 + 10)*(n + 0 + 0)).
-58*n**5
Expand (3*w**4 - 2*w**4 - 3*w**4)*((0 - 1 + 0)*(3 - 4 + 2) + 1 - 4 + 1 + 0 + 5 + 0).
-4*w**4
Expand (0*v**3 - 4*v**3 + 2*v**3)*(0*v - 4*v - 6*v).
20*v**4
Expand (2 - 2 - 7*l**4 + (l - l - l**3)*(0*l + l - 2*l))*(4 - 1 - 1).
-12*l**4
Expand -4*k**5 + 2*k**5 + 4*k**5 + (5*k**2 - 5*k**2 - k**2)*(0*k**3 + k**3 - 3*k**3) + (-k**4 + k + 13*k**4 - 9*k**4)*(1 - 1 - k).
k**5 - k**2
Expand 3 - 3 - u + (2 - 3 - 1)*(4*u - 4*u - u) + u - 4 + 4 + u + u - 3*u - 2*u + 4*u + 0*u + 0*u - 3*u + 0*u + (-2 + 5 - 2)*(-5*u + 5*u - u).
-u
Expand (-5*f**2 + f**2 + 5*f**2)*(2*f**2 + f**2 - f**2) - 4*f + 30*f**3 + f**4 - 30*f**3.
3*f**4 - 4*f
Expand -2*y**2 - 3*y**2 + 6*y**2 + (-y - y + 0*y)*(3*y - 3*y - 2*y) - 5 + 20*y - y**2 - 20*y.
4*y**2 - 5
Expand (-2*s**2 + 7*s**2 - 3*s**2)*(0*s - 5*s + 3*s) + (s**2 + 2*s**3 - s**2)*(2 - 2 - 1) + 17*s**3 + 42*s - 42*s.
11*s**3
Expand (-3*q + 2*q - q)*(6 + 3 + 11)*(1 + q - 1)*(q**2 + 3 - 3).
-40*q**4
Expand -4*z**3 + 5*z**3 - 3*z**3 + (0 + 0 + 1)*(-z**3 + 4*z**3 - 4*z**3) + 0*z**3 + z**3 + z**3 + 152*z**3 - 82*z**3 - 88*z**3 - 2*z**3 + 2*z**3 - 2*z**3.
-21*z**3
Expand ((-1 - 2*r + 1)*(0*r + 2*r + 0*r) + 0 - 2*r**2 + 0 - 3*r**2 + r**2 - 3*r**2)*(r**3 + 0*r + 0*r).
-11*r**5
Expand (-4*f + 2*f + 9*f)*(-6*f + f + 4*f)*(-4*f**2 + 3*f**2 - f**2).
14*f**4
Expand (8 - 8 + 6*b**3)*(2*b + 2*b**2 - 2*b).
12*b**5
Expand (-4*q**3 + 3*q**3 + 0*q**3)*(2*q + 4*q - 5*q)*((3*q - 5*q + 0*q)*(-2 + 0 + 3) - 5*q + 2*q - 3*q).
8*q**5
Expand (l**2 - 3*l**2 + l**2)*(l + 6 + 2*l**2 - 3 - 5).
-2*l**4 - l**3 + 2*l**2
Expand ((0 + 2*g + 0)*(-1 + 2 - 3) - 6 + 5*g + 6)*(-g + 3*g - 3*g).
-g**2
Expand -r**4 + r**2 - r**2 + (-r + r - 2*r**3)*(-r - 2*r + r) + (-4 + 1 + 2)*(-43*r**4 - 26*r**4 + 31*r**4).
41*r**4
Expand -4 + q**2 + 2*q + 4 + 4*q + 2*q**2 - 4*q + (2 - 1 + 1)*(-3*q + 2*q**2 + 3*q) + 0 + 0 - q**2.
6*q**2 + 2*q
Expand (-4 - 1 + 3)*(-2 + 58*r - 26*r - 28*r).
-8*r + 4
Expand (8*l**3 - 17*l**2 + 17*l**2)*(2*l + 3*l - 3*l)*(-2*l + 3 - 3).
-32*l**5
Expand (-4 + 4 - 5*z**2)*(3 - 4 - 2)*(z + 2*z**3 - z).
30*z**5
Expand (-3*s + 2*s**2 + 3*s)*(-67*s**2 - 10*s**2 - 20*s**2).
-194*s**4
Expand (3*m**5 - 6*m**5 + 4*m**5)*(1 - 2 - 1)*(1 + 2 - 2).
-2*m**5
Expand 3*i + 3*i - i + i**2 + (0*i - i + 4*i)*(-5*i + 5*i + 2*i).
7*i**2 + 5*i
Expand (5 + y - 3*y - 4)*(-1 - 8 - 6)*(-y + 2*y - 2*y).
-30*y**2 + 15*y
Expand f**5 - 2*f**4 + f**5 + 3*f**4 + f + f**5 - f + (0*f**4 - 4*f**4 + 5*f**4)*(-1 + f + 1).
4*f**5 + f**4
Expand (g**5 + 2*g**5 - 4*g**5)*(1 + 4 - 1) - 3*g**2 + 2*g**5 + 3*g**2.
-2*g**5
Expand (4*p**2 - 3*p**2 + 0*p**2)*(0*p + 4*p - 2*p) - 198 - 4*p**3 + 198 - 26*p**3.
-28*p**3
Expand (0*i**2 + 0*i**2 + 5*i**2)*(-2 + 2 - i**2 + (2 + 1 - 1)*(-2*i + 2*i - 3*i**2)).
-35*i**4
Expand 11*h - 30*h - 6*h - h + 0*h + 2*h + (4 - 3 + 1)*(2*h - 2 + 2) - h + 2 - 2 - h - 2*h + 2*h.
-22*h
Expand (-1 + 3 - 1 + (1 + 3 - 6)*(0 + 1 + 0) + 1 - 4 + 1 + 3 - 3 - 1 + 0 + 3 - 1 - 1 + 3 - 3)*(6 - 3 - 1)*(-9*o**5 - 3*o**5 + 3*o**5).
54*o**5
Expand ((1 - 1 + 1)*(4*h**2 - 3*h**2 + 0*h**2) - 3*h**2 + h**2 + 0*h**2 + 0 + 0 - 2*h**2)*(-6 + 6 - 6*h**2).
18*h**4
Expand 4 + 2*c**5 - 4 + 0*c**3 - 2*c**5 + 0*c**3 + c**5 - c**5 - c**5 + (-2 + 2*c + 2)*(3 - 3 + 2*c**4) + 62 - 62 - 20*c**5.
-17*c**5
Expand (3*s**3 - 2*s**3 - 2*s**3)*(37*s**2 - 7347*s + 7347*s).
-37*s**5
Expand (-t**2 + 2*t**2 - 4*t**2)*(-1 + t + 1) + 2*t**2 + 2*t**3 - 2*t**2 + 2 - 2 - 4*t**3.
-5*t**3
Expand (-11*p**2 + 297*p**2 - 7*p + 7*p)*(2*p + 2 - 2).
572*p**3
Expand (1 - 4*y**4 - 1)*(16 + 23 + 32).
-284*y**4
Expand (0*t
|
{
"pile_set_name": "DM Mathematics"
}
|
11000022
Convert 11123 (base 4) to base 8.
533
10200200 (base 4) to base 3
221022212
What is 35443 (base 10) in base 12?
18617
What is 1e13 (base 15) in base 8?
14617
Convert -17923 (base 12) to base 16.
-856b
Convert -1e8c (base 15) to base 6.
-50453
Convert -26111 (base 7) to base 5.
-210132
10122 (base 3) to base 12
82
Convert -12 (base 6) to base 2.
-1000
What is -10011 (base 3) in base 7?
-151
What is 131 (base 8) in base 11?
81
Convert 470 (base 12) to base 10.
660
3102 (base 5) to base 10
402
423 (base 10) to base 16
1a7
What is 22aa6 (base 12) in base 11?
31a28
What is 1112 (base 6) in base 7?
521
What is -b2 (base 15) in base 7?
-326
Convert 18a7 (base 12) to base 6.
21531
424322 (base 5) to base 11
a854
14277 (base 11) to base 14
7575
-23310 (base 7) to base 2
-1011101100001
What is -48e (base 16) in base 5?
-14131
What is -2000011201 (base 3) in base 2?
-1001101001000101
What is 10210002 (base 3) in base 10?
2756
Convert 1d5 (base 16) to base 5.
3334
What is -11065 (base 7) in base 10?
-2791
Convert -121055 (base 6) to base 10.
-10619
-14033 (base 5) to base 14
-5b9
What is 21980 (base 10) in base 4?
11113130
136 (base 11) to base 15
aa
Convert 40331 (base 7) to base 13.
45aa
What is 1df4 (base 16) in base 11?
5841
Convert a4a (base 12) to base 13.
8b3
Convert 2210100 (base 4) to base 7.
42435
-367 (base 9) to base 12
-214
What is 367 (base 12) in base 5?
4021
Convert -101082 (base 9) to base 12.
-2a778
What is -110144 (base 5) in base 9?
-5181
Convert 560 (base 12) to base 11.
660
What is -3144 (base 5) in base 14?
-224
What is 432230 (base 5) in base 8?
34542
311101 (base 6) to base 13
b428
-265a (base 15) to base 8
-17771
-3135 (base 7) to base 3
-1111220
Convert bc40 (base 14) to base 9.
48633
Convert -10001 (base 2) to base 12.
-15
10000220001 (base 3) to base 15
12a4d
-3372 (base 10) to base 4
-310230
-128 (base 16) to base 8
-450
Convert b814 (base 14) to base 10.
31770
What is -310131 (base 4) in base 7?
-12534
What is -150b (base 13) in base 14?
-1181
Convert 448 (base 10) to base 7.
1210
What is 710a (base 13) in base 2?
11110011000110
Convert 206 (base 14) to base 2.
110001110
Convert -db7 (base 15) to base 3.
-11020201
-1036 (base 11) to base 10
-1370
-c4 (base 15) to base 7
-352
Convert 636 (base 14) to base 4.
103020
7a03 (base 11) to base 6
120430
Convert 34ad (base 14) to base 2.
10001111010001
What is 727 (base 13) in base 9?
1601
What is -a43 (base 16) in base 15?
-ba2
10111100101101 (base 2) to base 12
6ba5
Convert a639 (base 14) to base 12.
1470b
What is -80e (base 16) in base 6?
-13314
-11404 (base 8) to base 14
-1aba
What is 2144 (base 11) in base 16?
b0f
Convert 6183 (base 11) to base 15.
2668
What is 48b0 (base 13) in base 6?
115335
-803 (base 12) to base 11
-960
-606 (base 7) to base 8
-454
-1112 (base 15) to base 6
-24425
Convert -126 (base 15) to base 11.
-218
What is -1936 (base 11) in base 2?
-100110011011
-240010 (base 5) to base 8
-21063
19f (base 16) to base 4
12133
342551 (base 6) to base 14
a8a7
Convert -19332 (base 10) to base 2.
-100101110000100
What is 1313 (base 6) in base 15?
173
What is c8a (base 15) in base 8?
5416
-139 (base 12) to base 15
-c9
What is -1729 (base 13) in base 16?
-d57
Convert -12773 (base 8) to base 15.
-1a02
What is -1001000101111000 (base 2) in base 6?
-444224
What is -3522 (base 14) in base 6?
-110442
Convert 1993b (base 12) to base 9.
56552
What is 397 (base 16) in base 4?
32113
-2518 (base 9) to base 5
-30010
What is 30030012 (base 4) in base 13?
19956
Convert 1401 (base 10) to base 2.
10101111001
What is 1523 (base 7) in base 9?
742
Convert 169 (base 13) to base 2.
100000000
What is 2125 (base 9) in base 15?
6e2
What is -514 (base 10) in base 4?
-20002
Convert -58 (base 15) to base 12.
-6b
Convert -21870 (base 10) to base 8.
-52556
314e (base 15) to base 6
120132
-4355 (base 8) to base 4
-203231
What is 4100 (base 5) in base 10?
525
Convert 18890 (base 11) to base 5.
1320411
What is 8d41 (base 15) in base 10?
29986
Convert 260 (base 12) to base 6.
1400
-16429 (base 10) to base 11
-11386
What is -100012200 (base 3) in base 15?
-1ec9
21554 (base 8) to base 13
4187
Convert -61546 (base 7) to base 5.
-440103
What is -472 (base 9) in base 8?
-605
-1546 (base 12) to base 14
-caa
What is -332 (base 14) in base 13?
-398
1020123 (base 4) to base 16
121b
12230 (base 6) to base 14
93c
211340 (base 5) to base 8
15667
184 (base 12) to base 11
202
Convert 414 (base 6) to base 4.
2122
Convert 10111002111 (base 3) to base 9.
114074
Convert -4ef (base 16) to base 5.
-20023
-102333 (base 4) to base 11
-a05
179 (base 16) to base 10
377
What is -5ff (base 16) in base 11?
-1176
211 (base 5) to base 4
320
What is -201 (base 7) in base 9?
-120
What is -1021202 (base 3) in base 6?
-4202
Convert -12200211 (base 3) to base 15.
-136d
Convert -616 (base 8) to base 3.
-112202
What is -a84a (base 16) in base 5?
-2334312
What is 422 (base 5) in base 14?
80
Convert 31653 (base 7) to base 12.
4686
1042 (base 9) to base 4
23333
20221 (base 3) to base 12
137
What is 619 (base 15) in base 6?
10210
Convert e5 (base 15) to base 6.
555
-1313302 (base 4) to base 6
-55254
Convert -681 (base 13) to base 5.
-13434
Convert 1466 (base 11) to base 7.
5334
-202122 (base 3) to base 10
-557
-242452 (base 7) to base 15
-d127
30001 (base 4) to base 10
769
12106 (base 10) to base 7
50203
What is 203204 (base 6) in base 16?
3f94
-11101101110011 (base 2) to base 5
-441334
What is -52a (base 12) in base 2?
-1011110010
2075 (base 11) to base 4
222320
-1312220 (base 4) to base 8
-16650
What is 25523 (base 8) in base 2?
10101101010011
Convert 1989 (base 16) to base 7.
25026
What is 145 (base 9) in base 4?
1322
Convert 2702 (base 13) to base 6.
41455
-12f7 (base 16) to base 5
-123410
2213 (base 9) to base 5
23012
What is 562 (base 16) in base 10?
1378
Convert 195 (base 11) to base 8.
341
14454 (base 6) to base 16
922
What is -5872 (base 9) in base 4?
-1010012
What is -1218 (base 9) in base 2?
-1110001100
-100122 (base 3) to base 9
-318
2b15 (base 13) to base 16
187f
174 (base 10) to base 3
20110
What is -4111 (base 6) in base 13?
-54a
Convert 203121 (base 4) to base 6.
14253
What is -31211 (base 7) in base 8?
-16744
Convert -511 (base 14) to base 10.
-995
Convert c344 (base 13) to base 2.
110100100101111
What is 14003 (base 5) in base 14?
5a8
9dc (base 16) to base 12
1564
-111100010111 (base 2) to base 3
-12022002
What is 65626 (base 7) in base 12?
9617
Convert 257a9 (base 11) to base 5.
2140103
-368 (base 14) to base 4
-22220
-1000110101100 (base 2) to base 6
-32540
2120 (base 7) to base 10
749
Convert f3c (base 16) to base 14.
15c8
What is -433c (base 14) in base 12?
-6882
30231 (base 5) to base 12
1159
What is 269 (base 16) in base 7?
1541
Convert 2933 (base 11) to base 3.
12012021
11804 (base 12) to base 4
11301010
What is 2a4e (base 15) in base 10?
9074
Convert -3405 (base 12) to base 13.
-2816
Convert -852 (base 11) to base 4.
-100001
Convert -10615 (base 8) to base 2.
-1000110001101
What is -135515 (base 6) in base 9?
-18662
-3310101 (base 4) to base 7
-63402
Convert -25370 (base 12) to base 3.
-2120110010
-13211 (base 4) to base 13
-2b4
Convert 10010210 (base 3) to base 7.
6450
What is 1323 (base 8) in base 4?
23103
6a71 (base 13) to base 15
4679
What is 24002 (base 5) in base 3?
2101220
-23572 (base 9) to base 2
-11110110100011
What is 100 (base 13) in base 11?
144
Convert -122011 (base 3) to base 2.
-111001111
What is 1566 (base 12) in base 11?
1997
-9799 (base 10) to base 4
-2121013
312102 (base 4) to base 16
d92
-7164 (base 9) to base 11
-3a36
Convert -1000110001 (base 2) to base 3.
-202210
Convert -3a2 (base 13) to base 14.
-339
What is 3004043 (base 5) in base 10?
47398
What is -1106 (base 12) in base 6?
-12410
What is 1210 (base 10) in base 2?
10010111010
What is -1ca (base 15) in base 6?
-1531
-10000000101 (base 2) to base 13
-612
-100 (base 11) to base 4
-1321
Convert -503 (base 14) to base 2.
-1111010111
Convert 110100100010 (base 2) to base 10.
3362
What is -113444 (base 5) in base 9?
-5741
What is 1236 (base 13) in base 9?
3476
-8269 (base 10) to base 14
-3029
23423 (base 5) to base 16
6ca
1021 (base 9) to base 2
1011101100
6b10 (base 13) to base 5
440204
106 (base 16) to base 3
100201
What is -123505 (
|
{
"pile_set_name": "DM Mathematics"
}
|
mallest value in j, 0.5, w?
w
Let s = 0.486 - 0.086. Which is the second smallest value? (a) s (b) -2 (c) -1/8 (d) -0.1
c
Let h = -0.7 - 0.3. Let s = h + 0.6. Which is the biggest value? (a) 2 (b) -0.3 (c) s
a
Suppose 3*m + 5*k - 6 = 0, -3*k = 3*m - 9 + 3. Let d be (m/(-12) + 0)*4. Which is the smallest value? (a) -1/8 (b) 5 (c) d
c
Let p = -70 - -70. What is the smallest value in p, -0.07, -3?
-3
Let q = 182 + -181.6. Which is the second smallest value? (a) -1/8 (b) 2 (c) q
c
Let d = -4 - -3. Let f = 235.2 - 235. Let p = -9 + 5. Which is the second smallest value? (a) d (b) f (c) p
a
Let z be (1 + 2 - 2)/(-1). What is the biggest value in 0, 0.2, z?
0.2
Let p = -0.6 - -0.2. Which is the smallest value? (a) p (b) -1 (c) -0.8
b
Let w = -9 - -7. What is the biggest value in -0.3, 0.3, w, 0.1?
0.3
Let a be 6/(-21)*(-7)/(-3). Let g = -6 + -5. Let i = g - -16. What is the smallest value in a, i, 4?
a
Let f be (-8)/6*6/52. Which is the biggest value? (a) f (b) -2 (c) -2/5
a
Suppose 5*f - 2*i - 2*i = 12, -4*f = 5*i - 26. Let l be 4*(-5)/(-2)*-1. Let y = l - -6. Which is the third smallest value? (a) y (b) f (c) 3/7
b
Let t = -491/6 + 82. Let l = 0.9 - 1. Let f = 4.9 - l. Which is the second biggest value? (a) f (b) t (c) -3/7
b
Let j = -1 + 2. Let s = -4.3 + 1.3. Let u = s + j. Which is the biggest value? (a) -4 (b) 2 (c) u
b
Let z = 0.32 - -1.68. What is the third biggest value in -0.05, 5, z, -0.3?
-0.05
Let i = 1.2 - 0.6. Let n = 0.66 - i. Let d = n + -5.06. Which is the second smallest value? (a) -0.5 (b) d (c) -1/11
a
Let v = 6 + -1. Let u = -3.5 + 3. What is the smallest value in u, -2/11, v?
u
Suppose -y + 3 = 5. Let m = 39/4 - 269/28. What is the second smallest value in 1, y, m?
m
Let g = -0.11 - -0.21. Which is the second biggest value? (a) -0.1 (b) 0.2 (c) g
c
Suppose -4*y = y - 5. Let v(r) = r**2 + 4*r + 6. Let g be v(-4). Suppose 0 = 3*z - g*z + 6. What is the third smallest value in z, y, 0?
z
Let n = 0 - 0.6. Let u = 0.9 - 0.5. Let h = u - n. What is the second smallest value in -4, -3, h?
-3
Let z be 2*(142/(-18) - -3). Let q = 86/9 + z. Let p be (2 - 1)/(3/(-6)). What is the third smallest value in -0.4, q, p?
q
Let t = -2.7 - -2.9. Let w be (6/4)/((-1)/2). Which is the third smallest value? (a) w (b) t (c) 1
c
Let k = 9 + -13. Let z = 4 + k. What is the second smallest value in 3, -3, z?
z
Let u = 24 - 36. Let l = u + 11. What is the second smallest value in l, -3, 0?
l
Let i = -24 + 21. Which is the third smallest value? (a) 0.5 (b) i (c) 0
a
Let l(a) = a**3 + a**2 + a + 2. Let i be l(0). Let j = -7.9 - 2.1. Let o = j - -14. What is the third biggest value in i, o, 0?
0
Let n be 1741/(-44) + 1/(-4). Let f = n + 40. Let d = 6 - 5.6. What is the smallest value in f, d, -3?
-3
Let f = -0.3 - 0.1. Let k = 11 + -7. Let v = -1 + k. What is the third biggest value in v, f, 0.3?
f
Let v = 545/8 - 68. What is the third smallest value in 2, v, 0?
2
Let h = -0.2 - 0.1. Let d = 0 - -1. Let y = 0.9 - d. What is the third biggest value in y, -5, h?
-5
Let l = -2.046 - -0.046. Which is the second biggest value? (a) l (b) 5 (c) -1/4
c
Let g = -3.9 + -0.1. Let q = -1.4 - -11.4. Let r = q + -10.4. Which is the biggest value? (a) r (b) g (c) 1/5
c
Suppose 5*u = -h + 23, 0 = u + h + 2*h + 1. What is the smallest value in 0.5, 0.4, u, -2?
-2
Suppose 4*o - 8 = -4*v + 40, v = 0. Suppose 4*s = s + o. Let l = 15 - 10. Which is the second smallest value? (a) l (b) -0.4 (c) s
c
Let y = -1.16 - -0.16. Which is the third biggest value? (a) -3 (b) -0.1 (c) y
a
Let g = 73/2 + -36. Which is the second biggest value? (a) 0 (b) g (c) 0.09
c
Let d be 2/(-3) + 24/27. Let x = -51/5 - -199/20. Which is the third biggest value? (a) x (b) 0.5 (c) d
a
Let l = 1.9 - 2. Let y = -1.77 + 0.07. Let f = -0.3 + y. What is the second biggest value in -1/5, f, l?
-1/5
Let r be (-2*3/9)/6. Which is the smallest value? (a) r (b) -4 (c) 1
b
Let n be (-3)/(1*(-9)/6). Let k be (n + 0)*(-5)/(-2). Let r be k/(-15) - 14/(-15). Which is the smallest value? (a) -1/3 (b) r (c) 0.5
a
Let z = 7 - 4. Suppose b + 1 = -z. What is the biggest value in b, 1/8, 0.5?
0.5
Suppose f - 522 = -3*f + 2*l, 2*f + l = 267. Let s be (-8)/(-44) + (-57)/f. Which is the third biggest value? (a) s (b) 3 (c) 3/5
a
Let o = 0.94 + -0.47. Let x = o - -3.53. Let t = 2.5 - 0.5. Which is the third biggest value? (a) -5 (b) t (c) x
a
Suppose -5*f - 5*v = -v - 30, 0 = f - 2*v + 8. Let z be ((-6)/9)/f - -1. Let k = -0.1 + 0. What is the smallest value in z, 3, k?
k
Let s = -81 - -82. Which is the second biggest value? (a) s (b) -1/4 (c) 1/5
c
Let i = 0.27 - -0.03. Suppose 3*s - 8*s + 5 = 5*v, 5*v - 9 = -3*s. Let n be 91/(-21) - s/(-3). What is the smallest value in -4, n, i?
n
Let i = -0.3 + -0.2. Let w = 0.17 + -2.17. Which is the second biggest value? (a) -0.1 (b) w (c) i
c
Suppose -2*l = 3*l - g - 9, -20 = 5*g. Which is the second biggest value? (a) 5 (b) 3 (c) l
b
Let z(v) = 0*v**2 + v**2 + 1 + 0. Let r be z(1). Which is the second biggest value? (a) r (b) 4 (c) -2
a
Suppose 0 = -m + 1, 0*p + 17 = -5*p + 2*m. What is the third smallest value in -3/4, -0.6, p?
-0.6
Suppose 470 - 74 = 4*v + 5*s, -5*v + 4*s = -454. Let p = 472/5 - v. Let f be (-1)/3 + (-14)/(-24). Which is the biggest value? (a) f (b) -1 (c) p
c
Let p(g) be the second derivative of -g**3/6 + 8*g**2 + g. Let r be p(0). Let h be (15/(-50))/((-6)/r). Which is the smallest value? (a) h (b) 3 (c) -2/17
c
Let m = -16.56 - -17. Let p = -0.04 + m. What is the smallest value in p, -1/4, -2?
-2
Suppose 0 = -r + 3*r - 2. Which is the biggest value? (a) -7 (b) -4 (c) r
c
Let n be (-4)/26 - (-98)/468. Let z = n + 4/9. What is the third smallest value in z, 5, -3?
5
Let g = 0.5 - 0. Which is the smallest value? (a) g (b) 0.2 (c) 2/5
b
Let n = 0.38 - 0.18. Which is the third smallest value? (a) 0.3 (b) n (c) 4/3
c
Let z be 0/(((-4)/(-2))/1). Suppose -4*n + z - 4 = 0. What is the third smallest value in -3, 3, n?
3
Let f = -0.032 - 0.968. Let h = 5/9 + -2/9. Which is the second smallest value? (a) f (b) h (c) 0.1
c
Let i(s) = s**2 - 1. Let d(n) = 3*n**2 - 8*n - 13. Let m(o) = -d(o) + 4*i(o). Let h be m(-7). What is the second biggest value in 4, h, 1/2?
h
Let k be 6 - 5 - (-2)/1. Suppose 0 = q + 4*y + 4, -3*q + 4*y + 0*y + 4 = 0. Suppose 4*d = -q*d + 20. Which is the second smallest value? (a) k (b) -2/7 (c) d
a
Suppose -2*v = -3*v - 4. Let w = 1 + v. Let p = -62 + 66. What is the third biggest value in w, 2, p?
w
Let l = -19 + 18.9. Which is the second smallest value? (a) -3 (b) l (c) -3/4
c
Let g = 8/59 + -241/472. Let q be ((-3)/8)/((-9)/6). What is the smallest value in q, 0.14, g?
g
Let t be (-18)/4 + (1 - -1). Let p = -510 + 512.07. Let w = 0.07 - p. What is the second biggest value in 2, t, w?
w
Let l = -0.2 + 0.2. Let q = -0.5 - l. Let h be (1 - -1)/(70/(-21) + 4). What is the second smallest value in h, q, 2?
2
Let n = -0.04 - 0.16. Let j = n - 0. Which is the third smallest value? (a) 0.1 (b) 5/3 (c) j
b
Let s = 1.95 - -0.05. Let z = s + -5. Let w = 3.5 + -3. Which is the second biggest value? (a) -5 (b) w (c) z
c
Let n = 0.114 + -0.014. Let s = -1 + 1. What is the smallest value in s, n, 0.2?
s
Let p be (-4)/16 + 15/28. Let i = -11 + 14. Which is the third biggest value? (a) -2 (b) i (c) p
a
Let r = 7.8 - 7.5. Let l = -1.8 + -0.1. Let k = 2 + l. Which is the third smallest value? (a) 2 (b) k (c) r
a
Let w be 1/(-5)*-2 - (-340)/(-100). What is the third biggest value in w, -5, -0.2, 0.4?
w
Let q = 0 - -0.2. Let z = 0.1 + q. Let k = 0.1 - z. Which is the biggest value? (a) 1 (b) k (c) -0.3
a
Let j = -10 - -10.4. Let g be -3*3/(-12)*-4. Let w = 10 - 7. Which is the second biggest value? (a) w (b) g (c) j
c
Let c = -0.327 - -0.037. Let m = 1.01 + -1. Let b = m - c. What is the third smallest value in 3, b, -0.3?
3
Let i be -1 + -1 + 24/15. Let z = 45 + -42. Which is the third smallest value? (a) 2/13 (b) i (c) z
c
Let u = 0.385 - -0.015. Let v = -11 - -16. Which is the second biggest value? (a) u (b) v (c) -3
a
Let z be 55*((-11)/(-5) - 1). Let n = z + -200/3. Suppose -7*h = -3*h - 16. What is the third biggest value in -5, h, n
|
{
"pile_set_name": "DM Mathematics"
}
|
2/11
Let f = -0.495 - 0.005. Let u = 0.4 + -0.2. What is the closest to u in 5, 0.1, f?
0.1
Let t = 25 + -26. What is the closest to t in 0.1, 0.4, -0.3?
-0.3
Let x = 0.84 + 0.16. Which is the closest to x? (a) -1 (b) 5 (c) 2/3
c
Suppose 65 - 40 = -5*p. Let u = -0.07 - -0.08. What is the nearest to -0.1 in -4, u, p?
u
Let c(b) = 2*b**2 - 5*b. Let t be c(6). Let u be -3*(t/15 + -3). Let g = -30 - -121/4. What is the closest to g in -0.5, -4, u?
u
Let j = -127.5 + 128. Let v be (2 - -1)*(-2)/15. Which is the closest to 2/3? (a) v (b) j (c) 3
b
Let w = -16 + 20. Let t = 7 - 11. Let i = t - -3. Which is the nearest to -0.1? (a) -1/5 (b) i (c) w
a
Let i = -2/49 - -53/98. Which is the closest to i? (a) -0.3 (b) 2 (c) -1/7
c
Let h(u) = -u**3 + 4*u**2 - 4*u + 1. Let v be h(4). Let d be 10/v - 8/(-30). Which is the nearest to d? (a) 3 (b) -0.3 (c) 1
b
Let l = 50 - 50.74. Let t = -1 - l. Let a = 0.06 + t. What is the closest to a in -1, 2, 2/3?
-1
Let t = -0.08 - -3.08. Let a(n) = -n**3 - 6*n**2 + 14*n - 21. Let b be a(-8). What is the nearest to t in b, 1/3, -1/6?
1/3
Let y = -4 - -3.6. Let s(l) = 3*l - 7. Let z be s(5). Let q = -11 + z. Which is the nearest to 0.2? (a) -1 (b) q (c) y
c
Suppose 2*o + 5*x - 9 = 0, 2*o + x = 3 + 2. Which is the closest to -1? (a) 0 (b) 3 (c) o
a
Let u = 0.24 + -0.04. What is the closest to -1 in 2/3, -2/17, u?
-2/17
Let q(y) = -y. Let n be q(-4). Let s = 0 - n. Which is the closest to -1/2? (a) 0.5 (b) s (c) -0.4
c
Suppose 4*g - 3*r + 2*r - 133 = 0, 5*g + 5*r = 160. Let w = -97/3 + g. Let q = -4 - -2. Which is the nearest to -0.1? (a) q (b) -1 (c) w
c
Let d be ((-3)/(-12)*2)/2. Let v = 0.2 + -0.2. Let h = -1 - v. What is the nearest to h in 5, 0.4, d?
d
Let h = -117/7 - -17. Let m = 0.2 - 0. What is the nearest to -0.1 in h, 5, m?
m
Let w = -0.4 + -4.6. Let x be (-2)/(-3) + 8/(-21). Let v = 0.13 + -0.43. What is the nearest to v in w, x, -0.4?
-0.4
Let n(p) = p**3 + 7*p**2 + 4*p - 7. Let m be n(-6). Which is the closest to -2/5? (a) m (b) 2/3 (c) -5
b
Let n be (-200)/24*3/1. Let g be (-15)/(-6)*(-4)/n. Which is the closest to 1/4? (a) g (b) 2/7 (c) -1
b
Let f = 85.3 - 85. Which is the nearest to f? (a) -1 (b) -2 (c) 0.5
c
Suppose 0 = -0*o - 2*o + 4. Let h be (-12)/(-9) + o/(-6). Which is the nearest to 1? (a) h (b) -3 (c) -1
a
Let l = -49/12 + 13/3. Which is the closest to -2/11? (a) 3 (b) l (c) 2/17
c
Let f = -0.52 + 0.12. Which is the closest to 2/7? (a) f (b) -2/7 (c) -2
b
Let a(b) = -b**2 + 5*b - 3. Let h be a(3). Suppose -2 - h = m. Let w = -4 - -4. What is the nearest to -1/2 in w, m, 0.4?
w
Let l = -13 - -12.7. Let u = -0.1 + 0.1. Let q = -2 + 1. Which is the closest to 0? (a) q (b) u (c) l
b
Suppose -5*p = 15, -q + 4*p - 5 + 16 = 0. Which is the nearest to -3? (a) 3/5 (b) 5 (c) q
c
Suppose 0 = -3*g - 2 - 1. Let q = g - -3. Which is the closest to -2? (a) -1/6 (b) q (c) -2
c
Let y be 1/8 - (-147)/(-24). Which is the closest to -1? (a) 5 (b) y (c) 1
c
Let g = 118 + -117.5. Let d = 1/2 + -7/6. What is the closest to d in 4, -5, g?
g
Let l = 0.2 - -0.8. Let r = -156/697 - -14/41. Which is the nearest to l? (a) r (b) -4 (c) -5
a
Let p = -6 - -4. Let y = -0.12 + 5.12. Let i = 0 - -2. Which is the nearest to -1? (a) i (b) p (c) y
b
Let c = -0.04 + 0.04. Suppose 0 = -3*a - a + 8. Let p = -5.7 + 6. What is the closest to c in a, -0.5, p?
p
Let n = 0.11 + 0.89. Which is the closest to n? (a) -0.4 (b) -2/3 (c) -4/5
a
Let d = 1 - 9. What is the closest to 1 in -0.2, -2, d?
-0.2
Suppose -4*q - 8 = 5*c + 2, 0 = q - c - 2. Let o = 0 - q. Let b = -32 + 29. What is the closest to o in -0.1, -0.3, b?
-0.1
Let d = -0.89 - -0.09. Let g = -0.5 - d. What is the closest to 0 in -2, g, -1/9?
-1/9
Let m = 2.97 + 0.03. Let x = m + -3.5. Let l = -70.2 + 70. Which is the nearest to -2/5? (a) -2 (b) l (c) x
c
Let t = 9/2 - 5. Let f = 20 + -19. Which is the nearest to 2/3? (a) t (b) f (c) -2/11
b
Let f be 1 - 1 - 2/9. Let a = -691/11 + 63. What is the nearest to -2 in -3, f, a?
-3
Let l = -5 + 7. Let h = -20/9 + 23/9. Which is the closest to h? (a) l (b) 0.3 (c) -4
b
Let u = 57 + -30. Suppose 0*g + 3*g = 4*d - u, 21 = -3*g + 2*d. Which is the nearest to 2? (a) 0.5 (b) g (c) 3
c
Let x = 0.081 + 0.019. Let l be 21/(-52) + 1/4. What is the closest to x in 2/11, l, 0.1?
0.1
Let r = -11.9 - -12. Let g = -64/7 + 419/42. What is the nearest to r in g, 2, 1/6?
1/6
Let q = 0.12 - 0.12. Which is the nearest to 0.1? (a) q (b) 3 (c) -2
a
Let j = 12 + -15. Let w be (-2)/(-8) - (-3)/(-4). What is the closest to -2/13 in 0, w, j?
0
Let l be ((-172)/(-15))/((-6)/(-12)). Let f = l - 70/3. What is the closest to f in -6, -1/5, 1/4?
-1/5
Let d = 0.09 + 0.61. Let v = -0.6 + d. What is the closest to v in -0.5, 4, 0?
0
Let g = -0.18 + -19.82. Let v = 18 + g. Let w = 0.1 + -0.4. Which is the nearest to 2? (a) v (b) 2 (c) w
b
Let z = 4 + -3.8. What is the closest to 0 in -2/5, -1/7, z?
-1/7
Let y = 118 + -122. What is the nearest to -0.3 in -0.02, y, -4/7?
-4/7
Let f = 1.7 - -0.3. Let g = -1 - -2. Let o = f - g. Which is the nearest to o? (a) 0.3 (b) -3 (c) 1
c
Let k = -33 - -38. Which is the nearest to 2? (a) k (b) 1/7 (c) -0.1
b
Suppose -17 = -13*j + 9*j - v, -5*j + 37 = -4*v. What is the nearest to -6 in j, -1, -2/9?
-1
Let w(x) = -x**2 - 4*x - 6. Let d be w(-4). Let f be (-1*2/d)/(-3). Let k = 0.22 - -4.78. Which is the nearest to 1? (a) f (b) k (c) 2/5
c
Let s = 9 + -8. Let v = 2 + -1.8. Which is the closest to s? (a) v (b) 5 (c) -0.5
a
Let p be (-14)/21*3/2. What is the nearest to p in -4, 0, 4?
0
Let i be 2/(-8) + (-56)/(-96). Let y be -1 - (54/(-21))/2. Let u be 10/(-18) - 2/(-6). Which is the nearest to 1/4? (a) y (b) u (c) i
a
Let m = 0.071 + -2.071. Which is the nearest to -1? (a) -1/3 (b) 3 (c) m
a
Let m = -33 - -37. Which is the nearest to 3? (a) -0.3 (b) m (c) -1/7
b
Let z(q) = q**2 + 3*q + 3. Let p be z(-2). Let g be 2/((-10)/(-613))*1. Let t = -123 + g. Which is the closest to -2/5? (a) t (b) p (c) -0.3
a
Let j = 8 - 8.2. What is the nearest to 0.04 in j, -2/7, -1/2?
j
Let q be (9/42)/((-1)/344). Let y = q + 74. Which is the nearest to 2? (a) 3/2 (b) y (c) 1/3
a
Let i be ((-2)/4)/(2/(-8)). Let t = -45/2 + 22. Which is the nearest to -1/4? (a) t (b) i (c) -2
a
Let d = -0.225 - -0.025. Let c = -0.2 + 0. What is the nearest to d in 5/4, 3/5, c?
c
Let n = -0.9 + 0.7. Which is the closest to 1? (a) 4/3 (b) 3 (c) n
a
Let z = -17 - -17. Which is the closest to -1? (a) -5 (b) z (c) 0.8
b
Let m = -2.5 - -2.4. Which is the nearest to m? (a) 3/2 (b) -2/11 (c) 0.1
b
Suppose -3*y + 7 + 17 = 3*m, -24 = -3*m + 2*y. Let o be 40/88*m/(-10). Which is the nearest to o? (a) 2 (b) -2/7 (c) 1/5
b
Suppose -3*r - 2*x + 3 = -8, r + x = 3. Let w = -0.8 + -0.2. Which is the closest to w? (a) r (b) -2 (c) -4
b
Let r = 16.94 + -17. Which is the nearest to -0.2? (a) 0.2 (b) 0 (c) r
c
Let v = 3.7 + -8.7. What is the closest to -1/3 in -4, 0.5, v?
0.5
Let o = 14.9 + -15.1. What is the closest to o in 1, -0.1, 2?
-0.1
Let r = 9/44 - -6/11. Let p = -0.4 - 0. Let u = -0.4 - p. What is the nearest to u in -5, 0, r?
0
Let y(c) = c**2 + 6*c - 8. Let u be y(-6). Let n be (6/u)/(14/(-8)). Let r = -0.25 - -0.15. What is the closest to r in n, -5/4, -3?
n
Let j = 4.112 + -0.112. Let v = 5 - 3. Let f = -1.9 - -2. Which is the nearest to f? (a) 5 (b) v (c) j
b
Let j = 1 + -4. Let d be (2/(-1))/(1/(-2)). Which is the nearest to 0? (a) 2/9 (b) j (c) d
a
Let m = -17.5 - -13. Let j = m + 1.5. Let z = -0.01 - 3.99. What is the nearest to -1 in z, 0.2, j?
0.2
Let j = 1 + 1. Which is the closest to 2/5? (a) -0.5 (b) 3 (c) j
a
Let t be 786/4 + 5/10. Let v = -1377/7 + t. Which is the nearest to v? (a) -2 (b) 0.2 (c) 5/2
b
Let i = 8 - 3. Let m = 0.45 - 4.75. Let n = 4 + m. What is the closest to 0 in 0, i, n?
0
Let h = 13/2 + -29/4. Which is the closest to -1? (a) h (b) -1/11 (c) 0
a
Let u = -0.3 - -0.2. Let p = 18 - 22. Let n = 1 + p. What is the closest to u in -0.2, n, -4?
-0.2
Let v = 9/2 + -19/4. Let x(g) = -g**2 - 2*g + 9. Let q be x(-4). Let l be (-17)/3 + 2/3. Which is the nearest to 0? (a) q (b) l (c) v
c
Let l = -0.01 - -0.21. Let p(u) = -u
|
{
"pile_set_name": "DM Mathematics"
}
|
6*i**2
Let k(r) = -18*r + 18*r + 3*r**2. Let o(w) be the third derivative of -w**5/15 - 3*w**2. What is o(k(g))?
-36*g**4
Suppose -20 = -3*p - 2*p. Let o(z) = 1 + p - 5 - z. Let c(m) = -m**2. Let i(a) = 2*a**2. Let r(b) = -5*c(b) - 3*i(b). Determine o(r(x)).
x**2
Let x(m) = 2*m**2. Let a(o) be the third derivative of o**5/30 - 5*o**2. What is x(a(j))?
8*j**4
Let j(d) = 51*d**2 - 3*d. Let b(k) = 2*k. Give b(j(n)).
102*n**2 - 6*n
Let f(m) = -m. Let z = 99 + -97. Let x be -1*1*(-1 + -1). Let k(v) = 6*v**x + 4*v**2 - 11*v**z. Determine f(k(r)).
r**2
Let p(b) be the first derivative of b**3 - 2. Let m(g) = -4*g**2 + 3*g - 3. Let l(t) = -17*t**2 + 13*t - 13. Let x(u) = -6*l(u) + 26*m(u). What is p(x(j))?
12*j**4
Let v(r) be the second derivative of -r**6/72 - r**3/2 + 3*r. Let g(h) be the second derivative of v(h). Let i(n) = -n**2. Calculate i(g(d)).
-25*d**4
Let u(h) be the second derivative of -h**4/12 + 4*h. Let a(r) be the second derivative of -r**3/3 + r. Calculate a(u(t)).
2*t**2
Let y(w) = 2*w + 18 - 18 - 5*w. Let g(m) = 11*m**2. What is y(g(u))?
-33*u**2
Let q(h) = 11*h - 8*h - 3*h - 16*h**2. Let y(a) = a**2. What is q(y(g))?
-16*g**4
Let p(f) = -f. Let i = 2 + 0. Suppose -3*c = i - 8. Let y(g) = 0*g - c*g + 2*g + 4*g. Determine y(p(j)).
-4*j
Let s(a) = -47*a + 2. Let t(x) = 67*x + 1. What is t(s(u))?
-3149*u + 135
Let k(v) = 1. Let m(w) = w**2 - 6. Let d(p) = 6*k(p) + m(p). Let y(i) = 0*i - 3*i + 2*i. What is y(d(f))?
-f**2
Let a(n) be the first derivative of -7*n**3/3 - 8. Let p(w) = w**2. Calculate p(a(s)).
49*s**4
Let y(c) = -c. Let h(s) = -127*s - 2. What is y(h(r))?
127*r + 2
Let q(h) = h. Let j(z) be the first derivative of -10*z**3/3 + 11. Give j(q(l)).
-10*l**2
Let c(n) = 2*n - 24. Let v(a) = -6*a. Calculate c(v(p)).
-12*p - 24
Let q(s) = 3*s. Let b(d) = -3*d. What is b(q(p))?
-9*p
Let r(w) = 10*w + 7 + 5*w - 7. Let z(b) = -b**2 - 2*b**2 + b**2. Give z(r(q)).
-450*q**2
Let b(a) = 3*a. Let p(s) be the second derivative of -s**5/60 + s**3/3 - s. Let r(j) be the second derivative of p(j). Determine r(b(c)).
-6*c
Let f(d) = 31*d. Let l(i) = 4*i**2. Calculate f(l(b)).
124*b**2
Let l(o) = 2*o. Let x(s) = 0*s**2 - 12 + 11*s**2 + 12. What is x(l(d))?
44*d**2
Let i(f) = 239*f**2. Let x(y) = -2*y. Calculate x(i(k)).
-478*k**2
Let f = -16 - -18. Let d(u) = -u**2 + u**f + 7*u**2. Let m(z) = z. Calculate d(m(t)).
7*t**2
Let b(z) = -6*z + 2. Let d(j) = -2*j**2. Determine b(d(y)).
12*y**2 + 2
Let b(t) = -10*t**2. Let c(p) = -p - 1. Let j(n) = 9*n + 6. Let q(v) = -6*c(v) - j(v). Determine q(b(h)).
30*h**2
Let o(w) = 6*w**2. Let z(g) = -3157*g**2. What is z(o(d))?
-113652*d**4
Let d(h) = 5*h**2. Let t(n) = -8*n**2 + 7*n - 7. Let q(i) = -3*i + 18. Let p be q(8). Let y(a) = -7*a**2 + 6*a - 6. Let c(s) = p*t(s) + 7*y(s). What is c(d(w))?
-25*w**4
Let b(h) = 3*h. Let l(q) = -38*q**2 + 2*q. Give l(b(n)).
-342*n**2 + 6*n
Let n(t) = 15*t + 3. Let u(i) = -5*i + 2. Determine n(u(l)).
-75*l + 33
Let a(d) = d**2. Let z(n) be the first derivative of 9*n**3 - 2*n + 12. Determine z(a(t)).
27*t**4 - 2
Let i(o) = -o**2. Let j(k) = -163 + 8*k + 163. What is i(j(b))?
-64*b**2
Let j(t) be the third derivative of -1/24*t**4 + 0*t - t**2 + 0 + 0*t**3. Let z(p) = -2*p. Calculate z(j(o)).
2*o
Let l(w) = -2*w**2. Let y(h) = -h + 20*h**2 - 2*h + 3*h. Give l(y(z)).
-800*z**4
Let w(o) = -o**2 - 3*o**2 + 3*o**2. Let y(t) be the third derivative of t**5/60 - 6*t**2. Calculate y(w(m)).
m**4
Let j(p) = -3*p. Let s(x) = -59*x - 12*x + 21*x + 11*x. What is s(j(r))?
117*r
Let j(m) = -5*m - 33. Let f(h) = -2*h. Calculate j(f(w)).
10*w - 33
Let a(j) = -j. Suppose 0 = s + s - 4. Let n(m) = -m**2 + 2*m**s + 3*m**2. What is n(a(z))?
4*z**2
Let z(p) be the first derivative of p**3 + 17. Let k(s) be the second derivative of s**4/6 + 2*s. Give k(z(b)).
18*b**4
Let q(v) = -2*v**2. Let i be -4*(9/6 + -2). Let j(g) = 4*g + i*g - 5*g - 3*g. Give q(j(k)).
-8*k**2
Let s(p) be the first derivative of -2*p**2 + 1. Let w(h) = -11*h**2. Calculate w(s(g)).
-176*g**2
Let x(z) = 12*z + 3. Let d(j) = 3*j. Calculate x(d(s)).
36*s + 3
Let c(q) = 7*q. Let t(a) = -2*a**2 + 22*a. What is t(c(s))?
-98*s**2 + 154*s
Let l(s) = 613*s + 4. Let m(z) = -z**2. Give l(m(h)).
-613*h**2 + 4
Let p(a) = -a**2. Let o(b) = -b**2 + 2*b. Let s(n) = n**2 - n. Let q(g) = o(g) + 2*s(g). Calculate p(q(f)).
-f**4
Suppose 6*w + 11 = 4*a + 3*w, 7 = 2*a - 3*w. Let i(h) = 2 - a + h. Let x(g) = 12*g**2 - 21. Let o(l) = 3*l**2 - 5. Let j(f) = -21*o(f) + 5*x(f). Give i(j(r)).
-3*r**2
Let w = -4 + 6. Suppose -v = 2*u - 11, 4*v - 24 = -2*u - 4. Let i(h) = -h**w + u*h**2 - h**2. Let p(g) = -2*g**2. Calculate p(i(n)).
-8*n**4
Let s(g) be the third derivative of 0*g - 1/24*g**4 + 0*g**3 + g**2 + 0. Let q(c) be the third derivative of -c**4/8 + 2*c**2. Calculate s(q(u)).
3*u
Let u(k) = -4*k**2 - 3*k**2 + 6*k**2. Suppose -4 + 2 = -c. Let l(d) = 4 + c*d - 4 + 0*d. Determine u(l(g)).
-4*g**2
Let a(v) = -3*v**2. Let b(n) = 19*n**2 + 5*n + 5. Let t(d) = 9*d**2 + 2*d + 2. Let f(j) = 2*b(j) - 5*t(j). Calculate a(f(y)).
-147*y**4
Let v(k) = -5*k. Suppose -5*n = 3*z - 13 - 12, 0 = -z + n + 3. Let l(h) = 2*h - z*h + 4*h. Calculate v(l(i)).
-5*i
Let w(j) = -j**2 + 6. Let i(u) = 32*u. What is w(i(k))?
-1024*k**2 + 6
Let j(d) = 2*d**2. Suppose 0 = -a + 1, 0 = 4*q + a + 1 - 14. Let h(f) = -3 - 16*f + q + 12*f. Give j(h(x)).
32*x**2
Let m(s) = -6*s - 10. Let a(i) = i**2. Calculate a(m(t)).
36*t**2 + 120*t + 100
Let b(d) = 443*d. Let i(g) = g**2. Give b(i(v)).
443*v**2
Let l(k) = -k. Let b(d) = 6*d - 20. Calculate l(b(n)).
-6*n + 20
Let k(a) be the second derivative of 4*a**3 - 9*a. Let d(r) = -2*r. Calculate d(k(n)).
-48*n
Let l(d) = 42*d**2. Let w(x) = -2*x + 22. Determine l(w(f)).
168*f**2 - 3696*f + 20328
Let c(a) be the first derivative of -5*a**3/3 + 17. Let f(l) = -2*l. Determine f(c(n)).
10*n**2
Let o(j) = -5*j**2. Let u(r) = r**2 + 5*r - 2. Let k be u(-6). Let p(x) = x - 8*x + k*x. Give p(o(a)).
15*a**2
Let q(g) = 8145*g**2. Let z(p) = p. What is z(q(c))?
8145*c**2
Let d(a) = 4*a**2. Let p(z) = -z - 11*z**2 + 5*z - 4*z. Let o(b) = -2*b**2. Let u(i) = -34*o(i) + 6*p(i). Calculate d(u(n)).
16*n**4
Let w(m) = -10786*m. Let f(b) = -b. Give f(w(q)).
10786*q
Let t(g) = g. Let s(l) = -15*l**2 + 30*l**2 - 12*l**2. Calculate s(t(n)).
3*n**2
Let i(j) = -j**2 - 7*j**2 + j**2 + 8*j**2. Let o(y) = 2*y. Give o(i(q)).
2*q**2
Let j(w) = -6*w. Let f(v) = 2*v**2 - v + 1. Let u be f(1). Let z(r) = 2*r**2 + 0*r**2 - 2*r**2 + u*r**2. Give z(j(b)).
72*b**2
Let i(g) = -3*g. Let f(r) = 86*r + 6*r**2 - 86*r. Calculate i(f(t)).
-18*t**2
Let s(k) be the first derivative of -7*k**2/2 - 70. Let f(u) = 5*u**2. Calculate f(s(t)).
245*t**2
Let m(p) = 2*p - 2*p + p + p - 3. Let o(h) = 11*h - 17. Let r(q) = -34*m(q) + 6*o(q). Let g(z) be the second derivative of -3*z**4/4 - z. Give g(r(b)).
-36*b**2
Let r(k) = -7*k. Let a(o) = 39*o**2 - 1. Give a(r(n)).
1911*n**2 - 1
Let l(k) = 7688*k. Let i(u) = 3*u**2. Give i(l(y)).
177316032*y**2
Let r(q) = -59*q**2. Let x(l) = -l. Calculate r(x(a)).
-59*a**2
Let g(l) be the first derivative of l**2/2 - 18. Let o(p) = -2*p**2. Give o(g(j)).
-2*j**2
Let a(n) = 7*n**2 + 7. Let r(g) = -7*g**2 - 6. Let w(s) = 6*a(s) + 7*r(s). Let x(f) be the first derivative of -f**3/3 - 2. What is x(w(c))?
-49*c**4
Let p(q) = -2*q. Let o(k) = -46*k**2 - 4*k - 4. Let y(a) = -a**2 + a + 1. Let l(b) = o(b) + 4*y(b). Determine p(l(f)).
100*f**2
Let y(j) = -j**2. Suppose 4*t - 12 = 4. Let w(h) be the second derivative of 1/6*h**t + 0*h**3 + 0*h**2 + 0 + h. Calculate y(w(l)).
-4*l**4
Let m(a) = -9*a + 7*a - a - 17*a. Let x(w) = -2*w. What is x(m(p))?
40*p
Let v(z) = -5*z**2 + 3*z. Let y(d) = -24*d**2 + 14*d. Let f(t) = 14*v(t) - 3*y(t). Let q(g) = 9*g**2. Determine q(f(r)).
36*r**4
Let d(u) = -4*u**2. Let j = -2 - -6. Suppose j*i - 23 = -i + 4*q, 5 = i - q. Let v(b) = 3 + 2*b**2 - i. Determine d(v(p)).
-16*p**4
Let g(s) = 27*s. Let q(x) = 13*x**2 - 5*x**2 - 6*x**2. Determine q(g(d)).
1458*d**2
Let p(a) = -5*a**2 - 6*a. Let z(r) = 4*r**2 + 5*r. Let l(j) = 5*p(j) + 6*z(j). Let u(c) = -10*c. Determine u(l(s)).
10*s**2
Let b(s) = 127*s**2. Let q(z) = 32*z. Give b(q(u)).
130048*u**2
Let k(w) = -6*w**2. Let a(x) = 14*x**2 - 4. Calculate k(a(d)).
-1176*d**4 + 672*d**2 - 96
|
{
"pile_set_name": "DM Mathematics"
}
|
llest common multiple of 1010 and 808.
4040
Find the common denominator of -31/25 and -16/5.
25
Calculate the common denominator of 79/36 and 143/48.
144
What is the common denominator of -97/66 and 1/11?
66
What is the smallest common multiple of 10 and 6136?
30680
What is the least common multiple of 16 and 16?
16
Calculate the common denominator of 83/368 and 67/10.
1840
Find the common denominator of -69/1220 and 97/22.
13420
What is the common denominator of 7/100 and 3/20?
100
Calculate the common denominator of 71/102 and -89/2652.
2652
Calculate the smallest common multiple of 190 and 912.
4560
Find the common denominator of -49/30 and 139/120.
120
Calculate the common denominator of -7/114 and 47/21.
798
Calculate the least common multiple of 6 and 21.
42
Calculate the smallest common multiple of 108 and 198.
1188
What is the common denominator of -65/9 and -139/534?
1602
What is the smallest common multiple of 9 and 1044?
1044
Calculate the common denominator of -119/590 and 71/4366.
21830
What is the least common multiple of 1643 and 265?
8215
Calculate the common denominator of 59/108 and 82/441.
5292
What is the smallest common multiple of 30 and 2790?
2790
Calculate the common denominator of -79/10 and 79/656.
3280
What is the common denominator of 97/508 and 73/381?
1524
What is the least common multiple of 16 and 8948?
35792
Calculate the lowest common multiple of 158 and 10.
790
What is the smallest common multiple of 124 and 12?
372
Find the common denominator of -5/162 and -85/567.
1134
Calculate the least common multiple of 1 and 45.
45
What is the common denominator of -73/418 and -97/176?
3344
What is the smallest common multiple of 664 and 83?
664
What is the smallest common multiple of 4 and 467?
1868
Calculate the least common multiple of 92 and 112.
2576
Find the common denominator of 75/4 and 49/606.
1212
Calculate the lowest common multiple of 4543 and 413.
4543
Find the common denominator of 63/128 and 101/424.
6784
Find the common denominator of -89/96 and 93/1856.
5568
What is the lowest common multiple of 15 and 192?
960
What is the lowest common multiple of 104 and 13?
104
Calculate the common denominator of 49/3 and -67/26.
78
What is the smallest common multiple of 28 and 1768?
12376
Calculate the lowest common multiple of 285 and 225.
4275
Calculate the smallest common multiple of 3 and 57.
57
Calculate the common denominator of -75/68 and 33/34.
68
What is the least common multiple of 40 and 280?
280
What is the common denominator of 61/8 and -83/8853?
70824
Calculate the common denominator of -59/11550 and 46/147.
80850
What is the least common multiple of 57 and 152?
456
Find the common denominator of -61/338 and 23/68.
11492
Calculate the common denominator of -16/105 and -211/210.
210
Calculate the lowest common multiple of 1665 and 3996.
19980
Calculate the lowest common multiple of 176 and 308.
1232
Calculate the common denominator of -25/2 and 37/59.
118
Calculate the lowest common multiple of 2167 and 33.
6501
What is the lowest common multiple of 2 and 30?
30
What is the lowest common multiple of 3 and 115?
345
Calculate the common denominator of -53/4 and -11/2522.
5044
Find the common denominator of -74/2037 and 56/33.
22407
Calculate the smallest common multiple of 380 and 240.
4560
What is the common denominator of -85/16 and -87/10?
80
What is the common denominator of -88/15 and -41/25?
75
Calculate the common denominator of -139/102 and -67/6.
102
Calculate the least common multiple of 288 and 9.
288
What is the least common multiple of 48 and 111?
1776
Calculate the common denominator of 47/1595 and -15/11.
1595
What is the lowest common multiple of 264 and 28?
1848
What is the common denominator of 34/23 and -145/552?
552
What is the lowest common multiple of 77 and 1155?
1155
Calculate the lowest common multiple of 16 and 80.
80
Find the common denominator of -11/82 and 33/16.
656
What is the lowest common multiple of 5356 and 13390?
26780
Calculate the common denominator of 83/36 and -83/90.
180
Calculate the lowest common multiple of 460 and 13.
5980
Calculate the smallest common multiple of 66 and 6.
66
Find the common denominator of -121/6 and -50/9.
18
What is the smallest common multiple of 6 and 378?
378
What is the least common multiple of 527 and 255?
7905
Calculate the lowest common multiple of 295 and 10.
590
What is the common denominator of -4/17 and -113/170?
170
What is the common denominator of -11/200 and -131/600?
600
Calculate the smallest common multiple of 1655 and 160.
52960
Calculate the common denominator of 55/144 and 101/16.
144
What is the common denominator of -41/64 and 59/24?
192
Find the common denominator of 63/40 and 187/420.
840
Find the common denominator of -71/24 and 50/11.
264
Calculate the smallest common multiple of 1361 and 5.
6805
Find the common denominator of -69/20 and 73/822.
8220
Calculate the common denominator of -38/231 and -65/4557.
50127
Calculate the smallest common multiple of 102 and 20.
1020
Find the common denominator of 9/55 and 31/110.
110
Calculate the smallest common multiple of 495 and 159.
26235
What is the smallest common multiple of 167 and 3?
501
What is the least common multiple of 790 and 45?
7110
Find the common denominator of 101/8 and -65/216.
216
Calculate the common denominator of 41/174 and 23/261.
522
What is the common denominator of -2/3725 and 91/100?
14900
Calculate the lowest common multiple of 145 and 9.
1305
What is the common denominator of 25/164 and 65/5002?
10004
Calculate the common denominator of 19/54 and 76/261.
1566
What is the least common multiple of 184 and 92?
184
Calculate the least common multiple of 1750 and 7.
1750
Calculate the common denominator of -7/338 and 95/22.
3718
What is the lowest common multiple of 196 and 2940?
2940
Calculate the common denominator of 41/60 and 67/48.
240
Calculate the least common multiple of 15 and 18.
90
What is the smallest common multiple of 3546 and 2364?
7092
Calculate the smallest common multiple of 150 and 105.
1050
Calculate the smallest common multiple of 240 and 1704.
17040
Find the common denominator of -59/9 and 5/3.
9
Calculate the common denominator of 7/1242 and -27/22.
13662
Calculate the common denominator of 49/81 and 19/30.
810
What is the smallest common multiple of 429 and 9?
1287
What is the common denominator of 41/20 and 7/12?
60
What is the common denominator of -131/36 and -81/884?
7956
What is the least common multiple of 90 and 45?
90
Calculate the common denominator of -38/55 and 92/45.
495
Calculate the smallest common multiple of 294 and 42.
294
Calculate the smallest common multiple of 11 and 2292.
25212
What is the common denominator of 5/208 and -7/32?
416
What is the common denominator of 37/143 and -123/154?
2002
Find the common denominator of -47/231 and -29/105.
1155
Find the common denominator of 31/159 and -107/12.
636
Calculate the lowest common multiple of 10 and 10.
10
Calculate the common denominator of -32/135 and -103/460.
12420
Calculate the lowest common multiple of 84 and 651.
2604
What is the least common multiple of 15 and 144?
720
What is the common denominator of 1/96 and -95/832?
2496
What is the least common multiple of 6 and 18?
18
Find the common denominator of 65/332 and -47/8.
664
Find the common denominator of -63/32 and -23/18.
288
Calculate the smallest common multiple of 11 and 11.
11
Calculate the smallest common multiple of 74 and 8.
296
Calculate the lowest common multiple of 6 and 6.
6
Calculate the lowest common multiple of 2070 and 207.
2070
Find the common denominator of -3/422 and -15/22.
4642
Find the common denominator of -111/56 and -7/88.
616
Calculate the least common multiple of 4 and 5288.
5288
What is the smallest common multiple of 35 and 4890?
34230
Calculate the least common multiple of 84 and 27.
756
Find the common denominator of -57/14 and -107/374.
2618
Calculate the common denominator of -29/7014 and -57/98.
49098
Calculate the lowest common multiple of 25 and 10.
50
What is the lowest common multiple of 8 and 1167?
9336
What is the common denominator of 151/744 and 89/186?
744
Find the common denominator of 25/168 and 17/364.
2184
What is the common denominator of 71/1
|
{
"pile_set_name": "DM Mathematics"
}
|
Let c(w) be the first derivative of 8/3*w**3 + 2*w - w**2 + 9. What is the units digit of c(2)?
0
Suppose 88 = -4*u + 1624. What is the units digit of u?
4
Suppose 5*d = -i - 14, 4*d + 3 = -4*i - 5. Let a(q) = 23*q**3 - q. What is the tens digit of a(i)?
2
Let a(v) = -2*v - 1. Let x be a(-3). Suppose 0 = -2*l + x*l - 39. What is the tens digit of l?
1
Suppose 4*x = -4*y + 3*y + 59, 61 = 5*x - 3*y. Suppose -x*u + 774 = -1662. What is the tens digit of u?
7
Let m(s) be the third derivative of -s**5/60 + 13*s**4/24 - 5*s**3/3 + 2*s**2. Suppose 0 = 4*x + c - 41, -5*c + 32 = 4*x - c. What is the tens digit of m(x)?
1
Suppose -1684 = -20*x + 3836. What is the tens digit of x?
7
What is the thousands digit of (-28342)/(-10) - ((-35)/25)/(-7)?
2
Suppose 3*u + 3*m - 15 = -2*m, 5*u - 25 = -m. Suppose 232 = -3*q + u*q. Let x = q - 80. What is the units digit of x?
6
Suppose -3*z - 3*j + 5 = -5*z, -z + 2*j = 4. Let f = 122 - z. Suppose 4*b - f = b. What is the tens digit of b?
4
Suppose 4*k + 59 - 7 = 0. Suppose -5*r + 112 = -4*u, r - 32 = 3*u + u. Let h = r + k. What is the units digit of h?
7
Let u(i) = 2*i**2 - 23*i - 9. Let c be u(17). Let l = c - 61. What is the hundreds digit of l?
1
Suppose -1048 = -2*o - 0*r - 4*r, -4*r = -2*o + 1040. What is the hundreds digit of o?
5
Let h(a) = a**3 + 8*a**2 + a - 6. Let v(f) = f**2 + 1. Let d(p) = h(p) + v(p). Let n be d(-9). What is the tens digit of (-2 - -1)/(1/n)?
1
Let a = -49 + 364. What is the hundreds digit of a?
3
Suppose 5*g = 0, 4*s - 1 = 3*s + 3*g. What is the tens digit of -4*(s + -1 - 8)?
3
Let o be ((-70)/21)/((-4)/162). Let p = o - -152. What is the units digit of p?
7
Let y = -1971 - -2971. What is the thousands digit of y?
1
Suppose 36*u = 19*u + 28543. What is the tens digit of u?
7
Let d = 25 - 48. Let y be (-2 + 0)/((-8)/(-28)). Let h = y - d. What is the tens digit of h?
1
What is the thousands digit of (-246)/(-8)*8208/81 + 2?
3
Let q(r) = 251*r**3 - 15*r**2 + 7*r - 7. What is the hundreds digit of q(2)?
9
Suppose j + 3*j + 72 = 0. Let a be (-48)/j*(0 - -3). What is the units digit of a/((-4)/(-14) + 0)?
8
Let g(z) = 478*z - 12. What is the hundreds digit of g(2)?
9
Let s = 1060 - 812. What is the hundreds digit of s?
2
Let h(r) = r**2 + 8*r + 20. Let x be h(-5). What is the hundreds digit of 99/1 - (4 + -12 + x)?
1
Let l be (1 + 7)/((3 - 9)/6). Let v(a) = 2*a**2 + 5*a - 5. What is the units digit of v(l)?
3
Suppose j - 522 = 741. What is the units digit of j?
3
Suppose -27*a = -28*a + 448. What is the hundreds digit of a?
4
Let i be -12*((-21)/(-9))/(-7). Suppose -44 = -2*z + i*o, 2*z + 5*o = -0*z + 35. What is the units digit of z?
0
Let l(y) be the first derivative of 2 - 8*y - y**2 + 1/3*y**3. What is the tens digit of l(7)?
2
Suppose 6*h - 157 = -j + 9*h, -660 = -4*j + 4*h. Suppose 2*g = 147 + j. What is the hundreds digit of g?
1
Let p(b) = b**2 - b + 1. Let t be p(2). Suppose 3 = t*z - 2*z. Suppose 0 = -z*u + u + 34. What is the units digit of u?
7
Let w(j) be the first derivative of 2*j**3/3 + j**2 + 4*j + 1. Let h be 4/(-14) - 1/21*78. What is the units digit of w(h)?
8
Suppose -8 = 4*c + 8. Let i = 9 + c. What is the tens digit of (18/i)/(4/20)?
1
What is the tens digit of 1 + (-1177)/(-3) - (-4)/(-12)?
9
Let f = -24 + 25. Let v be -1 + 44 + -4 + f. What is the units digit of (42/(-24))/((-2)/v)?
5
Suppose -5 - 15 = -5*c. Suppose -c*a + 14 = -42. Let n(v) = -v**3 + 13*v**2 + 14*v + 16. What is the tens digit of n(a)?
1
Suppose -4*j - 14 = -2*p + j, 0 = -3*p + 4*j + 14. Suppose 124 = 2*w + p*w. What is the tens digit of w?
3
Suppose -63*h = -68*h + 10. Suppose h*z + 163 = 457. What is the units digit of z?
7
Suppose -4*q + 500 - 36 = 0. Suppose o - 29 = -q. Let l = o - -126. What is the tens digit of l?
3
Suppose 0*a - 28 = -4*a. What is the units digit of (-10)/35 - (-191)/a?
7
Let i(f) be the first derivative of f**4/2 + f**3 - 3*f**2 + 7*f - 24. What is the units digit of i(4)?
9
Suppose 5*v + 17 = 2*z - 4*z, 2*z - 3*v = 23. Suppose 0 = k - 3*m - 2, m + m = 2*k - z. Suppose 3*l - k = 4. What is the units digit of l?
2
Suppose o + 300 = 3*o. Let s = -34 + o. Suppose 0 = -0*i - 5*i + 3*d + s, i - 31 = -2*d. What is the tens digit of i?
2
Let l be (0 - 1)/((-9)/144). Suppose p + l = 5*p. Suppose w - 2*u - 154 = -3*w, 3*w - p*u = 123. What is the units digit of w?
7
Let j be (-125)/(-3) + 4/(-6). Let s = 7 + j. Let r = s + -34. What is the tens digit of r?
1
Let a = 2270 + -336. What is the units digit of a?
4
Let k be 68/4 - 4 - -1. Let g be (-90)/(-7) + 2/k. Let r = g - 9. What is the units digit of r?
4
Let q = -545 - -1126. What is the tens digit of q?
8
Let r = -14 + 20. Suppose r*u = u + 4*j + 16, 11 = 4*u - 5*j. Suppose -u*i - i + 75 = 0. What is the tens digit of i?
1
Let z(k) = 105*k - 4. What is the tens digit of z(2)?
0
Let i(p) = -2*p**2 + 40*p - 8. What is the tens digit of i(11)?
9
Let p = -457 - -997. What is the units digit of p?
0
Let l(d) = 3*d**2 - 41*d - 8. Let h be l(14). Suppose -1281 = -h*n - 69. What is the hundreds digit of n?
2
Let h = -4 - 88. What is the units digit of (-11)/(3 - (1 - 188/h))?
3
What is the units digit of (274*-2)/(19/(-57))?
4
Let j(c) be the third derivative of -c**4/2 - c**3/6 - 6*c**2. Let y = -6 + 4. What is the units digit of j(y)?
3
Let a(x) = 34*x. Let d be -2 + (4 - 10)/(-2). What is the units digit of a(d)?
4
Let v(h) = -h + 37. Let t be v(25). Suppose t + 4 = 2*u. What is the units digit of u?
8
Let i(b) = b**3 + 8*b**2 - 13*b + 14. Let c be i(-10). What is the tens digit of (-3 - c/20) + (-252)/(-10)?
2
Suppose -2*h = -4*n + 3730 - 76, 0 = 2*n + 4*h - 1852. What is the hundreds digit of n?
9
Let y = 2 + -2. Let r(u) = -2*u + 80. What is the units digit of r(y)?
0
Let p(q) = q**3 + 9*q**2 - 10*q. Let z be p(-10). What is the units digit of (z - (-82 - 3)) + (0 - -3)?
8
Suppose -u + 6118 = 22*u. What is the units digit of u?
6
What is the hundreds digit of 76/(-5)*(3 + -13)?
1
Let l(q) be the first derivative of q**2/2 - q + 5. Let f be l(0). Let x(d) = -7*d**3 + 1. What is the units digit of x(f)?
8
Suppose -484*d + 474*d = -14650. What is the hundreds digit of d?
4
Suppose t + 3*v - 79 = 528, 3*t = -3*v + 1851. What is the units digit of t?
2
Let v(k) = 102*k - 31. What is the tens digit of v(11)?
9
Let d(t) be the third derivative of -t**6/120 + 7*t**5/60 - t**4/12 - t**2. Let a = 108 - 103. What is the tens digit of d(a)?
4
Suppose 4*b - 12723 = -3*d, 86*b - 81*b - 15890 = -d. What is the thousands digit of b?
3
Let p(a) = -2*a**3 + 9*a**2 + 24*a + 71. What is the tens digit of p(-8)?
7
Let h = -306 - -754. Suppose 3*n - h + 94 = 0. What is the units digit of n?
8
Let b(w) = w**2 + 71. Let o = 36 - 36. What is the tens digit of b(o)?
7
Let w = 38 + -34. What is the tens digit of (-1416)/(-16) - 2/w?
8
Let a = -41 - -81. Suppose 529*s + 405 = 534*s. Let x = s - a. What is the tens digit of x?
4
What is the tens digit of 571 + -6 + 7 - -2?
7
Let m(y) = -y**3 - 18*y**2 - 13*y + 90. What is the hundreds digit of m(-19)?
6
What is the hundreds digit of (-9)/((-30)/5120*4)?
3
Suppose 0 = o - 63 - 140. Suppose 0*v + 5*k = 5*v - 325, 0 = -3*v + 5*k + o. What is the units digit of v?
1
What is the units digit of 20776/40 - (-9)/15?
0
Let g be (3*-7)/(105/55 + -2). Let z = 342 - g. What is the hundreds digit of z?
1
Let p be (-24)/30*(-30)/(-4). Let s = 6 + p. Suppose s = -c + 24 + 4. What is the tens digit of c?
2
Let m(n) = -2 - 6 + 2 - 3*n - 5. Let k be -2 - 3 - (6 + -3). What is the units digit of m(k)?
3
Let d = 1030 + -540. What is the units digit of d?
0
Suppose 4*m - 294 = 3678. What is the hundreds digit of m?
9
Let o = -10 - -10. Suppose o*s - 14 = s. Let w = 51 + s. What is the tens digit of w?
3
Suppose 2*f = 4*l + 8 - 2, -2*f - 5*l - 12 = 0. What is the tens digit of f/(-2)*92 + 3?
4
Let z be (144/27)/(2/3). Let l(y) = -z - 6*y**2 + 4*y**2 + 2*y - 13*y + y**2. What is the tens digit of l(-8)?
1
Let u(f) = -2*f**3 - 2*f**2 + 3*f + 3. Let b be u(-2). Suppose -k + 24 = -b*d, 3*d + 0 = -2*k - 4. What is the units digit of (-63)/(-1) - (4 - k)?
3
Suppose 5*n = -10 + 35. Suppose -5*x = 3*g - 8*g - 350, 210 = 3*x - n*g. What is the tens digit of x?
7
Let t be ((-10)/7)/(29/203). Let j(l) = -20*l - 35. What is the units d
|
{
"pile_set_name": "DM Mathematics"
}
|
q + 3*q - 7 = -v, 3*v = -5*q. Suppose 5*m = q*r - 17, r + m + 2*m = 29. Solve 0 = -f + r - 11 for f.
3
Let a = 497 - 503. Let s be 4*(2/(-6) - 5/a). Suppose f - 4 = 2. Solve -s*j + f = j for j.
2
Suppose r = 3*i + 49 - 48, i - 5*r + 5 = 0. Solve i = -44*d - 274 + 10 for d.
-6
Let z(p) = -p**2 - 14*p. Let g be z(-12). Let i = g - 21. Let o(s) = s**3 + s**2 - 9*s + 11. Let x be o(2). Solve i*t + 2 = x for t.
1
Let r be (3 - 10/4)*10. Suppose 6*z - 67 = 29. Let q be ((-12)/z - 0)/((-2)/40). Solve -5*p - r = q for p.
-4
Suppose 11*b = 139 + 59. Suppose -5*d = -b - 2, 22 = v + 4*d. Solve 18 = -4*h + v for h.
-3
Let o be 1*-2 + 1378/26. Let a = o + -48. Suppose 3*c - 2*l - 1 = 3, 5*l = -c - 10. Solve c = -2*m + m + a for m.
3
Let n be -7 + 0 + 0/(-2). Let p = 1094 - 1098. Let a be (p - n) + 0 + 0 + -3. Solve a = -4*x + 8 for x.
2
Suppose -4*q = -2*o - 6, -1 = 3*q + 4*o - 11. Solve 1186 - 1172 = -q*v for v.
-7
Let n = -5287 + 5310. Solve 3*c = 8 - n for c.
-5
Let h = 3499 + -3499. Solve h = -42*g + 45*g for g.
0
Suppose 116*y = 9534 + 10115 - 3641. Solve -49*i = -26*i - y for i.
6
Let d be (-4)/6 - 70/30 - -3. Suppose d = 3*v - 5*y + 4, 0*v = -5*v - 3*y + 16. Let s be 5 + v/2 + 1. Solve 0 = -5*w - 18 - s for w.
-5
Let j = 8 - 26. Suppose 61 = 3*w + 1. Let a = w + j. Solve 3*i = a*i - 2 for i.
-2
Let f = -105 + 141. Let u(n) = 2*n**2 + 4*n - 5. Let a be u(-6). Let y = a - f. Solve 5*g = -y - 8 for g.
-3
Let u(f) = f**3 - 7*f**2 + 10*f - 33. Let i be u(6). Let g = i + 12. Suppose 0 = 9*n - 7*n + 5*h - 23, g*h - 25 = -4*n. Solve -8*v - n = -4*v for v.
-1
Let g be (414/72)/(-23) + (-1)/(-8)*394. Solve g*o = 48*o - 3 for o.
-3
Let m = 11606 - 11468. Solve 16*x = -m + 26 for x.
-7
Suppose -o + 52 = 38. Solve -8*v = -o*v - 24 for v.
-4
Let h(x) = 603 + 643 - 1321 - x**2 + 23*x. Let b be h(19). Solve 9*i + 35 = -b for i.
-4
Let h(l) = l**3 + 7*l**2 + 6*l - 4. Let j be h(-5). Solve j*w - 17 = -1 for w.
1
Let v(x) = x**2 + 4*x - 5. Let u be v(-5). Let q(m) = -m**2 + 6*m - 5. Let r be q(3). Suppose -3*s + 2*o = 0, -r*o - 4 = -5*s - 6. Solve u = s*d + d for d.
0
Let n = -24221 + 24221. Solve 6*a + 33*a + 273 = n for a.
-7
Let t = -15579 + 15582. Let d(y) = 2*y**3 + y**2 + y. Let b be d(-1). Let k(m) = -2*m - 2. Let i be k(b). Solve -t*u + 1 = -i*u for u.
1
Let p(i) = -40*i - 55. Let f be p(3). Let k = 175 + f. Solve k = -u - 2 for u.
-2
Let m(f) be the third derivative of f**4/24 + 5*f**3/6 - f**2. Let l = 8182 - 8177. Let i be m(l). Solve -6*z + z = i for z.
-2
Suppose 15*t = 5*t. Let l(h) = h**2 - 8*h + 18. Let z be l(7). Suppose 0 = -5*f + 9 + z. Solve t = -f*w + 3 - 7 for w.
-1
Suppose -4*g + 12 = 2*r, 2*r - 12 = -3*g - 5. Suppose 3*v + 0 - g = 2*d, 0 = 4*v + 4. Let m be -2*((-45)/10 - d). Solve -4*c + 3 = -m for c.
1
Suppose 7*i - 3*i = 32. Let v be ((-12)/8 + 2)*i. Suppose -2*c = -2*c - 12*c. Solve c = -5*z + v*z + 5 for z.
5
Let l(b) = -b**2 + 10*b - 17. Let p(z) = 2*z - 28. Let v be 34*1*11/22. Let u be p(v). Let q be l(u). Solve 3*r + q + 2 = 0 for r.
-3
Suppose 3*n - 5498 = z - 5697, 5*z - 1028 = 4*n. Solve v - 27*v - z = 0 for v.
-8
Let l(q) = 87*q**2 - 8*q + 2. Let c be l(3). Suppose -c*u = -769*u + 88. Solve -k + 13 = u for k.
2
Let k be (9/(-27))/(-3 - 62/(-21)). Solve k*d + 6 = 13*d for d.
1
Let y(b) = -9*b - 70. Suppose -3 = -3*h, -34 = 4*z - 2*h + 12. Let f be y(z). Solve -28*q + f*q = -4 for q.
-4
Let a(q) be the second derivative of q**3/3 - q**2 - 307*q. Let p(z) = z + 7. Let s be p(-6). Let n be a(s). Solve -5 = l - n for l.
-5
Let k(c) = -c**2 + 7*c - 2. Let h be k(5). Let s = h - 8. Let b be (1/(-3))/(84/(-1008)). Solve s = b*r - 2*r for r.
0
Suppose 45*s + 145*s = -47*s + 1659. Solve 15*b + 32 = s*b for b.
-4
Suppose -5*n = 5*q - 540, 3*n + 0*n - 324 = -5*q. Let z = n + -75. Let l(w) = w**3 + 16*w**2 - 28*w - 179. Let v be l(-17). Solve 0 = 5*j + z - v for j.
-5
Suppose 67 = -2*c + i + 4*i, c = -5*i - 11. Let y = -24 - c. Suppose -o = -2*m - 12, -4*o = 2*m + y - 0. Solve 5*w - o*w = -6 for w.
-2
Let u(f) = -2*f**2 + 3*f - 2. Let w be u(8). Let s = 109 + w. Solve -s*n = -11 - 4 for n.
5
Let x(z) = z**2 + 32*z - 317. Let d be x(-40). Solve 36 = d*f + 15 for f.
7
Suppose -4*t - 4*t + 6*t + 40 = 0. Solve -l = 22 - t for l.
-2
Let a(t) = t**3 + 19*t**2 + 28*t - 48. Let n be (136/48)/((-1)/6). Let l be a(n). Solve 59*d + 10 = l*d for d.
-2
Suppose 5*g - 2 = 4*g. Suppose -j = 5*d - 23, 3*j - 7*d + 2*d = -11. Suppose 0 = -5*i - 5*v + 10, -5*i + j*v + 0*v = -26. Solve -g - i = -2*b for b.
3
Let s = -1 - -4. Let g be 184/18 - (-174)/(-783). Let z = 34 - 29. Solve z*c - s*c = -g for c.
-5
Let r = 216 + -177. Let s = r + -37. Solve -s*h - 6 = 4 for h.
-5
Let j(q) be the second derivative of 1/6*q**3 + 0 + 19*q + 6*q**2. Let d be j(-10). Solve 7*s = d*s for s.
0
Let l(a) = -2*a**3 + 10*a**2 + 4*a - 2. Let r be l(5). Suppose -12 = 3*i - r. Suppose 0 = t - 6 - i. Solve 3*s - t*s = -15 for s.
3
Let d(t) = 635*t + 7542. Let k be d(-11). Solve k - 613 = 8*c for c.
-7
Suppose a - 4*g + 631 = 0, 3*a - 126*g + 122*g + 1901 = 0. Let b = a - -635. Let z(o) = -o**2 + 3*o + 4. Let c be z(4). Solve c = -5*n - b*n + 15 for n.
3
Suppose 9*w + 2134 = -8. Let a = -235 - w. Solve 3 = a*c - 3 for c.
2
Let n = 15398 + -15398. Solve 46*o + 115 - 437 = n for o.
7
Let r = -3220 - -3248. Solve -r*q = -5*q - 69 for q.
3
Let x(a) = -a**2 - 14*a + 1. Let q be x(-14). Let k be 3 + 14 - q/1. Let g = 197 + -193. Solve -4*f = k - g for f.
-3
Suppose 3*h + 2 + 220 = 0. Let k = h + 79. Solve k*o - 6*o = 1 for o.
-1
Let r(x) = -3*x**2 + 2*x + 7. Let k be r(3). Let q = -3 - k. Suppose -5*o = -2*m + 42 - q, 8 = m - o. Solve 0 = m*c - 4 - 2 for c.
2
Let g = 3697 - 3670. Solve g*j - 15 = 39 for j.
2
Let m be ((-2 - -31) + -27)*(-1)/((-4)/658). Solve -231 + m = -14*k for k.
-7
Let c(d) = d**3 - 7*d**2 - 8*d - 20. Let p be c(9). Let i be ((-8)/28)/(208/p - 3). Solve 4*q + q + i = 0 for q.
-2
Let m = -12322 + 12322. Solve -10*c - 2869 + 2939 = m for c.
7
Let x = 64 - 197. Let a = x - -136. Let u be 2 - 2 - (-15)/a. Solve j = -3 + u for j.
2
Let t be (36/(-54))/((-2)/255). Let d = t + -67. Solve -6*h + 12 = -d for h.
5
Let a(m) be the second derivative of -m**4/12 + 6*m**3 + 9*m**2/2 + 25*m. Let f be a(30). Suppose -19 = -13*t + f. Solve -13*c + 9*c = t for c.
-4
Let s = 4 + 8. Suppose 54233*i = 54350*i. Solve -2*k + s*k + 30 = i for k.
-3
Let f(b) = b**2 - 7*b + 6. Let h be f(8). Let r(n) = -6 + 359*n - 358*n + 14*n**2 - 2 - n**3. Let l be r(h). Solve -l = 6*p - 3*p for p.
-2
Suppose 0*p = 4*k - 2*p - 52, -4*k = 2*p - 36. Let u(i) = -64*i + 128. Let l be u(2). Suppose l = -k*n + 6*n + 20. Solve -7 - 5 = -n*a for a.
3
Suppose -t = -2*g + 26, -2*g + 40 = -4*t - 34. Let s(y) = -3*y**2 - 50*y - 22. Let u be s(t). Solve 22*h = 20*h + u for h.
5
Let n = -108 - -112. Suppose h = -4*y + 5 + 8, y - n*h + 18 = 0. Solve 0*w - y = 2*w for w.
-1
Let f(n) = 50*n + 970. Let r be f(-19). Solve 12 = -23*k + r*k for k.
-4
Let z be (-2)/(-3)*-591*-1. Suppose -5*t = -z - 26. Let l = t - 82. Solve -3*s + l*s = 0 for s.
0
Suppose 5 = 4*k - 95. Let x = 28 - k. Solve 18 = x*q + 12 for q.
2
Let l = 8 + -13. Suppose -3*k - 2*z - 24 + 1 = 0, -4*k + 2*z = 26. Let r = l - k. Solve b + 0 = r for b.
2
Suppose 0 = -699*q + 434*q + 30210. Solve q = -72*m + 53*m for m.
-6
Let z(y) = -46*y - 1403. Let p be z(-31). Solve p*q = 133 - 18 for q.
5
Let b(l) = l**3 + 20*l**2 - 46*l - 11. Let v be b(-22). Suppose -5*k = 5*q - 50, q + 5*k - v = -7. Solve 11 + 19 = q*j for j.
5
Suppose -1092 = -55*o - 36*o. Solve o = 40*i + 52 for i.
-1
Let t be ((-96)/(-10))/(1/(-5)). Suppose 2*f = -5*y - 209, y = 2*f + 3*f - 31. Let b = y - t. Solve -b*s - 25 = -2*s for s.
-5
Let b be -1 - (5*11)/1. Let j(c) = -c**3 + 22*c**2 - 56*c + 39. Let k be j(19). Let r = k + b. Solve 8 = -6*u + r*u for u.
-2
Let r(k) = 53*k**2 + 129*k + 8. Let z be r(-3). Solve -z + 243 = 29*y for y.
5
Suppose -12 = 3*y, -11 = -2*n - 4*y + 21. Solve -156*u - n = -162*u for u.
4
Let v(t) = -8*t**3 + 11*t**2 + t - 2. Let s be v(1). Suppose -4*c + r - 5 = 2*r, -r - 5 = -4*c. Suppose 0 = -2*k - c + 2. Solve -3*y - k = -s*y for y.
-1
Let c be (5 - 2)*(-30)/(-18). Let i be (-8 + 2 - 1) + 11. Solve -c*g = -i*g for g.
0
Let t be 9*28 + (2 - 167)/15 + 11. Solve -17*v = -59*v +
|
{
"pile_set_name": "DM Mathematics"
}
|
1.00004126. Round i to six decimal places.
-0.000041
Let p = 1.76 + -4.19. Let k = p + 135.43. Let d = 133.0000257 - k. Round d to 6 decimal places.
0.000026
Suppose -17457*f - 28834000 = -17455*f. Round f to the nearest one million.
-14000000
Let c = 21701.979 + -21727. Round c to the nearest integer.
-25
Let k = -133.06844 + 0.01844. Let b = 595 - 461. Let i = k + b. What is i rounded to 0 decimal places?
1
Suppose -y - b + 839036 + 341010 = 0, 2*y = b + 2360080. Let u = -2780042 + y. What is u rounded to the nearest 1000000?
-2000000
Let j = -2210.0005262 + 2210. Round j to four decimal places.
-0.0005
Let c be -21*((-42)/72 - (-3)/12). Let f be (-40)/5 + c + 71400001. What is f rounded to the nearest 1000000?
71000000
Let y = 198 - 410. Let u = 212.125 + y. Round u to 1 decimal place.
0.1
Let q = 66.068 - 0.468. Let g = -65.6000545 + q. Round g to six decimal places.
-0.000055
Let o(v) = -5*v - 22. Let i be o(-8). Suppose 16*z = 14*z + i. Suppose 4*r - 1224 = -z*d + 10*d, 2*d + 2435 = -5*r. What is d rounded to the nearest 100?
-1200
Let l = -0.3783 - -0.59882. Round l to two decimal places.
0.22
Let w = -1125.999995368 - -1126. What is w rounded to 7 decimal places?
0.0000046
Let c(k) = 1618341*k - 414. Let w be c(54). What is w rounded to the nearest 1000000?
87000000
Let i = 35.24049 + -0.07049. Let h = 0.93 + i. What is h rounded to the nearest 10?
40
Let i be ((-884)/(-234))/(-34) + -280790*(-1)/(-9). What is i rounded to the nearest one hundred?
-31200
Let w = 0.276 + -0.035. Let j = 48241 + -48240.75779. Let l = w - j. Round l to 4 dps.
-0.0012
Suppose -1580192519 - 1875629508 = -171*t + 2123394973. What is t rounded to the nearest one hundred thousand?
32600000
Let t = 821.9 - 857. Let d = 41 + t. Let c = 5.89999925 - d. Round c to 7 dps.
-0.0000008
Let f(q) = q**2 + 9*q - 17. Let r be f(-11). Suppose -4*o + 7 = -r. Suppose 281997 = j - o*j + 3*c, -3*j = 2*c + 423002. What is j rounded to the nearest 10000?
-140000
Suppose 11177057 - 23671535 = 85*o + 12356122. Round o to the nearest ten thousand.
-290000
Let c = -112595054 + 112593131.10429. Let x = c + 1923. Let g = -0.104 + x. What is g rounded to 4 decimal places?
0.0003
Let l = 32796215.1831957 + -32776980.8517. Let h = l - 19253.3315. Let c = -19 - h. What is c rounded to six dps?
0.000004
Suppose -149 = 2*v - 61. Let o = v + 643. What is o rounded to the nearest 100?
600
Let f = -0.135 - -0.045. Let b = 0.144 + f. Let v = b + -0.053932. Round v to 5 decimal places.
0.00007
Let n(l) = l - 8. Let u be n(12). Suppose -m = u*m + 3*p + 6669054, 2*p = -2*m - 2667620. Let q = -2135812 - m. Round q to the nearest 100000.
-800000
Let s = -21596.022459 + 21596. What is s rounded to 3 decimal places?
-0.022
Let d = -3483 - -3401.6. What is d rounded to the nearest 100?
-100
Let r(l) be the first derivative of 2 + l**2 + 9*l - 4567/3*l**3. Let g be r(-3). Round g to the nearest one thousand.
-41000
Let f = 1532.5 - 827.9. What is f rounded to the nearest 100?
700
Let x = 254405 + -254612.062. Let s = x + 0.062. Let u = s + 206.897. Round u to 2 decimal places.
-0.1
Let f = 849154.9080567 + -849155. Let r = -0.092 - f. Round r to 4 decimal places.
-0.0001
Let w = -272 - -163. Let v = w - -109.0000487. Round v to 6 dps.
0.000049
Let u = 53 - 44. Suppose 12*r + 5481000 = u*r. Round r to the nearest one hundred thousand.
-1800000
Let i = 132 - 130.5204. What is i rounded to 1 decimal place?
1.5
Let p = -23 - 157. Let a be (15/6)/((-3)/p). Let t be (-1 - 163/(-3))/(4/a). Round t to the nearest 10000.
0
Let r be ((-14)/4 - (-1)/(-2))/((-20)/33426000). Round r to the nearest ten thousand.
6690000
Let z(f) = 2154243*f - 241. Let y be z(-8). Let h be 1/(-2) - (-52668371)/2. Let a = h + y. Round a to the nearest 1000000.
9000000
Let z = -15208.00030214 - -15208. Round z to 5 dps.
-0.0003
Let l = -62 - -62.21. Let h = l - 2.002. Round h to 1 decimal place.
-1.8
Let b = -62.98085 + 62.97. Round b to three decimal places.
-0.011
Let q = -5324554156 - -5324553872.0000149. Let g = 284 + q. Round g to five dps.
0.00001
Let y be (12 + 32)/(17/(-44710)). What is y rounded to the nearest one thousand?
-116000
Let k be (19/(-57))/(1/(-9)). Suppose k*g + 3 - 15 = 0. Suppose -3*m = -3*j - 801, m - g*m + 5*j = -803. What is m rounded to the nearest 10?
270
Let w = -23006482.5073 + 23003086. Let x = -3610.50591 - w. Let b = 214 + x. What is b rounded to four decimal places?
0.0014
Suppose -357 - 9423 = -3*n. Suppose -2*l - 2*l = -n. Let x = -555 + l. What is x rounded to the nearest 100?
300
Suppose 10 + 0 = 5*u. Let z(r) = 3650*r - 26 - 15 + 41. Let c be z(u). What is c rounded to the nearest one thousand?
7000
Suppose -10*l + 37188 + 262412 = 0. Suppose -8*f - l = -f. What is f rounded to the nearest one thousand?
-4000
Suppose 0 = 3*j + l - 26882, 0 = 23*j - 28*j + 2*l + 44818. Suppose -5*t + 4*o = 46520, j = 3*t - 4*o + 36882. What is t rounded to the nearest 1000?
-9000
Suppose 5*y - 117 + 12 = 0. Let v(j) = 28 + 135777*j - 263460*j - 238985*j. Let h be v(y). Round h to the nearest 1000000.
-8000000
Let p = 61 - 60.19. Let j = -2560 - -2562.01. Let k = j - p. What is k rounded to the nearest integer?
1
Let x = -13472.006482 + 13472. Round x to 3 decimal places.
-0.006
Let m = -269.393498 + 269.4. Round m to 3 decimal places.
0.007
Suppose -11*o + 440 = -3*o. Let v = o + -55. Suppose v = 9*g - 15562 - 4238. Round g to the nearest one thousand.
2000
Let g be ((-3)/12)/(2/(-48)). Let i(t) = -5776*t**2 + 12*t - 36. Let w be i(g). What is w rounded to the nearest 10000?
-210000
Let t = 337300267.31 - 337300230.8252100833. Let r = -0.0847572167 + t. Let c = -36.4 + r. Round c to 6 dps.
0.000033
Let s = 5258.862448 + -10569300265.862448. Let i = -10569294896.99999853 - s. Let h = i + -110. What is h rounded to seven decimal places?
0.0000015
Let j = -0.0941 - -510.0941. Let w = 296 - j. Let v = w - -217.42. What is v rounded to one decimal place?
3.4
Let j = 0.2758588959 - 0.27586. Round j to 7 dps.
-0.0000011
Let h = 2 + 1. Suppose h*c - 5*c - n + 71707 = 0, -71692 = -2*c + 2*n. Suppose -c = 4*p + 252149. Round p to the nearest ten thousand.
-70000
Let g = -4.4044 + 4.40398806. What is g rounded to six decimal places?
-0.000412
Let i = -35269 + 35268.99997187. What is i rounded to 6 decimal places?
-0.000028
Let c = -110770 + 245114. Let j = c - 134284.9953. Let i = j - 59. Round i to four decimal places.
0.0047
Let k = -137 + 151. Suppose -247 - 47 = -k*t. Let g be (-76296)/(-7) - (-12)/t. Round g to the nearest one thousand.
11000
Let f = 42 - 38.32. Let x = -180 - -179.78. Let z = x - f. What is z rounded to 0 decimal places?
-4
Let n = -126 + 135. Suppose 0 = -n*h - 4365803 - 1682197. Round h to the nearest one hundred thousand.
-700000
Suppose 2*h - 52 = 2*q, 0*h = -4*q - 4*h - 144. Let y = 26 + q. Let f be 4/y + 312500030/(-25) + 2. Round f to the nearest 1000000.
-13000000
Let g = -22.9 - -22. Let i = -30.1 - -44.8. Let x = i - g. Round x to the nearest integer.
16
Let g = -5360 - -5359.7389. Let v = 28.74 + -29. Let t = g - v. Round t to 3 decimal places.
-0.001
Suppose -b + 5 = -0, -i + 5*b = 86. Let z = -65 - i. Let j be 14242/8 + (-2 - 7/z). Round j to the nearest one hundred.
1800
Let m = -0.4726112 + 0.4715. Round m to 3 decimal places.
-0.001
Let a = 1.09257 + -83.03157. Let h = 0.061 - a. Let u = 81.99967 - h. Round u to four dps.
-0.0003
Let l = 0.33 + -2.53. Let p = 3.3 + l. Let n = p - 3.3. Round n to zero decimal places.
-2
Let h = 5.16 + -5.16104789. What is h rounded to 5 dps?
-0.00105
Suppose -528*j - 648 = -520*j. What is j rounded to the nearest one thousand?
0
Let p = -2038 + 1104.4. Let s = -861 - p. What is s rounded to the nearest 10?
70
Let a = -976911.3999689 - -976912. Let m = a + -0.6. What is m rounded to four dps?
0
Let m = 3.1615 + 2.2476. What is m rounded to one dp?
5.4
Let u = 28707 + -28706.999970854. What is u rounded to 7 decimal places?
0.0000291
Let u(f) = 13*f**3 - 2953*f**3 - 4*f + f**2 - 419*f**3 + f**2 - 32 + f**2. Let j be u(-8). Round j to the nearest 1000000.
2000000
Let k = -2434.5486 - -2434. What is k rounded to 2 dps?
-0.55
Let x = -159084 + -8906. Round x to the nearest 1000.
-168000
Let u = -195 - -193. Let n be 210*((-256)/24)/(u/(-75)). What is n ro
|
{
"pile_set_name": "DM Mathematics"
}
|
.
1/114
What is prob of sequence nto when three letters picked without replacement from {w: 2, n: 8, t: 2, o: 3, y: 2}?
1/85
What is prob of sequence pj when two letters picked without replacement from {j: 15, p: 4}?
10/57
Four letters picked without replacement from {u: 8, t: 2}. Give prob of sequence tuuu.
2/15
Calculate prob of sequence ss when two letters picked without replacement from hahtjajyasshay.
1/91
Calculate prob of sequence jv when two letters picked without replacement from {u: 1, j: 2, o: 4, f: 2, v: 2, r: 3}.
2/91
Two letters picked without replacement from dwrr. Give prob of sequence dr.
1/6
Three letters picked without replacement from tsst. What is prob of sequence ttt?
0
Calculate prob of sequence tqrq when four letters picked without replacement from rcqtqrcctrrrqqq.
5/819
What is prob of sequence pm when two letters picked without replacement from pppmppmpmmcpppmmpp?
11/51
Calculate prob of sequence yjy when three letters picked without replacement from {y: 4, j: 2}.
1/5
Calculate prob of sequence jr when two letters picked without replacement from {j: 3, y: 4, r: 4}.
6/55
Calculate prob of sequence yvvv when four letters picked without replacement from {y: 8, l: 5, v: 4}.
2/595
Three letters picked without replacement from ggbqgaqbvkgb. Give prob of sequence qqb.
1/220
Two letters picked without replacement from oloojllljollecolll. What is prob of sequence cl?
1/34
Two letters picked without replacement from {g: 7, u: 6}. What is prob of sequence uu?
5/26
Calculate prob of sequence ii when two letters picked without replacement from iiiririiriiiii.
55/91
What is prob of sequence eee when three letters picked without replacement from {e: 10, y: 9}?
40/323
Three letters picked without replacement from {y: 2, d: 10, n: 4}. What is prob of sequence dyy?
1/168
Four letters picked without replacement from odolyldqoyqyld. Give prob of sequence ooll.
3/2002
Three letters picked without replacement from nxnxxxxxxxxnxxxxnnn. Give prob of sequence nxx.
52/323
What is prob of sequence gz when two letters picked without replacement from {z: 1, m: 1, b: 5, g: 2}?
1/36
Calculate prob of sequence wwzw when four letters picked without replacement from {o: 3, p: 2, z: 4, w: 6}.
4/273
Three letters picked without replacement from iiiirzjziyjiiz. Give prob of sequence jyr.
1/1092
Calculate prob of sequence xbx when three letters picked without replacement from {d: 1, x: 2, k: 3, b: 6, r: 2, g: 1}.
2/455
Calculate prob of sequence cl when two letters picked without replacement from lccclccccclc.
9/44
What is prob of sequence awna when four letters picked without replacement from {n: 5, o: 1, w: 1, l: 1, a: 2}?
1/504
What is prob of sequence zwk when three letters picked without replacement from {z: 1, k: 13, h: 1, w: 5}?
13/1368
Three letters picked without replacement from ryrryrryyrrrrrrryrrr. What is prob of sequence yrr?
35/228
What is prob of sequence ioj when three letters picked without replacement from ijoidyq?
1/105
Four letters picked without replacement from kkkqkkkkkkq. Give prob of sequence qqkk.
1/55
Two letters picked without replacement from cspapppcpapp. What is prob of sequence ca?
1/33
What is prob of sequence gg when two letters picked without replacement from llgllxglllgiiiilil?
1/51
Calculate prob of sequence wwz when three letters picked without replacement from {z: 5, w: 3, g: 2, p: 2, s: 6}.
5/816
What is prob of sequence sa when two letters picked without replacement from saaaannaasaa?
4/33
Calculate prob of sequence bb when two letters picked without replacement from bhhhbbhbhhhbbhhhhhb.
7/57
What is prob of sequence ze when two letters picked without replacement from {z: 1, y: 1, e: 4, g: 1, b: 1}?
1/14
What is prob of sequence nnl when three letters picked without replacement from {n: 4, l: 10}?
5/91
Two letters picked without replacement from {k: 4, h: 6}. What is prob of sequence kh?
4/15
Three letters picked without replacement from {k: 1, z: 1, j: 1, q: 1, x: 1}. Give prob of sequence xqj.
1/60
Calculate prob of sequence vbvr when four letters picked without replacement from vvbvr.
1/20
Calculate prob of sequence je when two letters picked without replacement from {a: 1, e: 4, c: 1, j: 2}.
1/7
Four letters picked without replacement from {n: 1, w: 9, o: 1, j: 1, q: 4, m: 1}. What is prob of sequence wojq?
3/4760
Four letters picked without replacement from xqqqhihqqhhqhqqhqi. What is prob of sequence ixhh?
1/1224
Calculate prob of sequence ccc when three letters picked without replacement from {c: 4}.
1
Four letters picked without replacement from {b: 4, q: 3, c: 2, t: 10}. Give prob of sequence tctb.
5/646
What is prob of sequence kkk when three letters picked without replacement from xoxkxkovkxkkko?
5/91
Two letters picked without replacement from jajjjajjajjjjjjjaajj. Give prob of sequence ja.
15/76
Two letters picked without replacement from oroaeeeoeaoepeea. What is prob of sequence ar?
1/80
What is prob of sequence hg when two letters picked without replacement from qphhhhgqh?
5/72
Two letters picked without replacement from wfllwwwwwwwolof. Give prob of sequence ow.
8/105
What is prob of sequence uquc when four letters picked without replacement from uuuquzuuwuucuquunuuw?
13/4845
What is prob of sequence pp when two letters picked without replacement from {d: 1, v: 4, p: 5}?
2/9
Three letters picked without replacement from ysiossyss. Give prob of sequence yos.
5/252
Two letters picked without replacement from haja. What is prob of sequence ja?
1/6
Calculate prob of sequence ze when two letters picked without replacement from {e: 2, z: 2, v: 1, b: 1, h: 1, j: 2}.
1/18
Calculate prob of sequence dado when four letters picked without replacement from {a: 2, o: 5, e: 4, d: 2}.
1/858
Two letters picked without replacement from ihqehtff. What is prob of sequence hf?
1/14
Four letters picked without replacement from {e: 1, n: 14, h: 1}. Give prob of sequence ennh.
1/240
What is prob of sequence zzzt when four letters picked without replacement from {z: 5, t: 2}?
1/7
Calculate prob of sequence vz when two letters picked without replacement from {q: 1, l: 2, v: 1, r: 1, z: 1, i: 2}.
1/56
Two letters picked without replacement from {l: 1, h: 1, v: 1}. What is prob of sequence vh?
1/6
Calculate prob of sequence jqs when three letters picked without replacement from sqqhhsqqqjqnhjn.
4/455
Four letters picked without replacement from nxnxn. What is prob of sequence xnxn?
1/10
What is prob of sequence rtx when three letters picked without replacement from xbbmbxxxsxmstmrmmxbs?
1/1140
Two letters picked without replacement from {h: 3, m: 15}. What is prob of sequence mm?
35/51
What is prob of sequence jq when two letters picked without replacement from {w: 1, q: 2, h: 2, j: 1}?
1/15
Four letters picked without replacement from kskssskkkkksskkkkk. What is prob of sequence kssk?
11/204
Two letters picked without replacement from ulllmuulmumllmlmlllb. What is prob of sequence ll?
9/38
Two letters picked without replacement from {r: 2, u: 1, z: 2}. Give prob of sequence ru.
1/10
Two letters picked without replacement from iobbohmboobomoi. What is prob of sequence im?
2/105
What is prob of sequence gd when two letters picked without replacement from ldggkdkgggkghkkgk?
7/136
Calculate prob of sequence cmc when three letters picked without replacement from {c: 2, l: 3, m: 1, x: 4}.
1/360
What is prob of sequence jz when two letters picked without replacement from {j: 7, z: 2}?
7/36
Two letters picked without replacement from {a: 2, e: 4}. What is prob of sequence aa?
1/15
Three letters picked without replacement from ppkpkpkkpk. Give prob of sequence kkp.
5/36
Calculate prob of sequence yy when two letters picked without replacement from {h: 2, y: 4, t: 3}.
1/6
Three letters picked without replacement from {y: 1, v: 1, u: 2, d: 3}. Give prob of sequence udy.
1/35
Two letters picked without replacement from {l: 2, n: 8, k: 2, y: 7, m: 1}. Give prob of sequence yk.
7/190
What is prob of sequence ir when two letters picked without replacement from {i: 1, e: 8, b: 2, r: 1, d: 7}?
1/342
Three letters picked without replacement from feisssiwsiwimmieswi. What is prob of sequence fwm?
1/969
What is prob of sequence qq when t
|
{
"pile_set_name": "DM Mathematics"
}
|
2 - 2) + 3*b**2 + 2*b**2 - 7*b**2.
-3*b**2 - 2*b
Expand (-3*u + 5*u + u)*(-3*u + u + 5*u)*(-147 + 112 - 179).
-1926*u**2
Expand 3 - 2*h - 3 + 0*h + 2*h + 0*h + (-1 - 5 + 0)*(3 - 3 - h).
6*h
Expand (n**4 - 2*n**4 + 0*n**4)*(-2917*n + 1642*n + 2176*n + 1023*n).
-1924*n**5
Expand -191*c - 154*c - 7*c - 2*c + 1 - 1 + 3 + 2*c - 3 - 1 - 2*c + 1 + (-3 + 1 + 1)*(-2*c + 3*c + c) + 0*c - 2*c + 0*c.
-358*c
Expand (4 - 4 + 1)*(-3*f**2 + 2*f**2 + 2*f**2)*(4*f**3 + 0*f**3 - 3*f**3) + (-278*f + 4*f**2 + 278*f)*(-f**2 + f**2 + 2*f**3).
9*f**5
Expand (6*l + 3*l - 4*l)*(8 + 19 + 26).
265*l
Expand 1224*f + 1299*f - 2600*f + 1 + (-4 + 4 + 1)*(5*f - f - 5*f).
-78*f + 1
Expand (0*c**2 + 0*c**2 - c**2)*(0 + 2*c + 0) + (-c**2 - c + c)*((3*c + 37*c + 17*c)*(-3 - 2 + 4) + 0*c + 4*c - 2*c).
53*c**3
Expand (-8 + 8 + z**2)*((-2 - 2 + 0)*(5 - 2 - 4) + 2 + 1 - 4) + (z - z - z)*(-3*z + 0*z + 5*z).
z**2
Expand o**4 - 2*o**4 + 2*o**4 - 3*o + 3*o + o**4 + (-5*o**3 + 0*o**3 + 4*o**3)*(-3 + 3 - 2*o) + 52*o**4 + 208*o**4 - 31*o**4 + (-3 + 0 + 2)*(o**4 + 2*o - 2*o).
232*o**4
Expand (-6*o + 2*o + 0*o)*(8*o + 32 - 32) + o - o - o**2.
-33*o**2
Expand (2*l - l - 1 - 3*l)*(31494 - 31494 - 134*l).
268*l**2 + 134*l
Expand (-1 - 3 + 2)*(-x**4 + 7*x**5 - 2*x**4 + 3*x**4).
-14*x**5
Expand (-1 + 4 - 2)*(-3*u + 3*u - 2*u) + (3*u + 0*u + u)*(-3 + 0 + 2) + 233*u - 183*u - 111*u.
-67*u
Expand -1 - 2*u**3 + 2*u**3 - u**3 + (-7*u - 2*u - 4*u)*(9*u**2 - 2*u**2 - u**2).
-79*u**3 - 1
Expand (-2*i**3 + 6*i**3 + 27*i**2 - 22*i**2)*(-4*i - i + 3*i).
-8*i**4 - 10*i**3
Expand (-2*y - 2 + 2)*(-3 + 0 + 2) - 15*y - 109 + 109 + 3*y - 6*y + 2*y - 3*y + 3*y + 3*y + (-3 + y + 3)*(0 - 3 + 2).
-12*y
Expand (0 + 1 - 2)*(0*o - 3*o + 4*o)*(-17 + 7 + 3)*(2*o**3 + 4*o**3 - 4*o**3).
14*o**4
Expand (-4 + 4 + 2)*(-174 + 174 - 36*q**2 - 2*q**2 + q - q - q + q + 2*q**2 + (0 + 0 - q)*(q + q - q)).
-74*q**2
Expand 1 + 2*i**3 - 1 - 69*i + 69*i - 277*i**3 + 0*i + 0*i - i**3 + (-1 - 1 + 4)*(-6*i**3 + 2*i**3 + 3*i**3).
-278*i**3
Expand (-6 + 11 - 3)*(4 - 4 - 3)*(0*k + 0*k + 2*k).
-12*k
Expand (-2 + 1 + 2)*(-2*c**2 + c**2 + 3*c**2) + 47 - 47 + 103*c**2.
105*c**2
Expand (2*k**4 + 2*k**2 - 2*k**2)*(-3 + 1 + 1) + 0*k**4 - k**4 + 2*k**4 - 5*k**4 + k**4 + 3*k**4 + (62*k + 100*k + 69*k)*(k**3 - 4*k**3 + 0*k**3).
-695*k**4
Expand (-414 + 414 - 14*a)*(2*a + 0*a - a)*(2 - 2 - a)*((2 - 5 + 5)*(2 - 4 + 0) + 1 + 0 - 2).
-70*a**3
Expand 2 + v - 2*v + 1 + (-v + v + 5*v)*(-7 + 4 + 1).
-11*v + 3
Expand (-f + f + 2*f**3)*(-4 + 6 - 27)*(4*f - 2*f + 0*f).
-100*f**4
Expand (1 - 1 - f**2 + (1 - 1 + 1)*(-f**2 - f**2 + 0*f**2))*(-179*f - 159*f + 66*f).
816*f**3
Expand 2*i**5 + i**5 - 5*i**5 + i**5 - i**5 + i**5 + (-4*i + 4*i - 5*i**4)*(0 + 0 + i).
-6*i**5
Expand (0*n - 2 + 2*n + 9)*(18 + 6 - 3)*(2 - 5 + 1).
-84*n - 294
Expand (0 + v + 0)*(-6*v + 3*v + 4*v) + 2*v**2 + 5 - 5 - 4*v**2 + 0*v**2 - v**2 - 2*v**2 + 2*v**2 - v**2 + (-3*v**2 + v**2 + 0*v**2)*(2 + 1 - 1).
-7*v**2
Expand 3*o - 2*o + o + (3*o + 0*o - o)*(-2 + 2 + 1) - o + 1 - 1 - 3616 + 1806 - 1356*o + 1810.
-1353*o
Expand (3*y**2 + 6 - 6)*(-y**2 + y**2 + y**3 - 3 - y**3 + 3 + (-3 + 3 + y**3)*(1 - 2 + 0) + 2*y**3 - y**3 + 2*y**3).
6*y**5
Expand (-2*g - 4 + 4)*(2*g - 2*g + 2*g**2) + 0*g**3 + g**3 - 3*g**3 + (5*g - 2*g - 2*g)*(6*g - 5*g - 4*g)*(-19 - 6*g + 19).
12*g**3
Expand (-2146 + 4296 - 14*c**2 - 2159)*(0*c + c**2 + 0*c).
-14*c**4 - 9*c**2
Expand 6*y - 29*y - 30*y + (4 + 0 - 5)*(-2*y + 2*y - y) - 2 + y + 2.
-51*y
Expand 3*c - 3*c - c**3 + (-2*c - 3 + 3)*(126*c**2 - 135*c**2 - 139*c**2).
295*c**3
Expand -k**2 - 4*k**2 + k**2 + (0*k - 3*k + 2*k)*(2*k + 1 - 1) + (-2*k - 6*k - k)*(1 - 1 - 2*k)*(0 - 3 + 5).
30*k**2
Expand (5 + d**3 - 5)*(d + 4*d + d) + (5*d**3 - 6*d**3 + 24*d**3)*(5*d - 2*d - 2*d).
29*d**4
Expand (52 - 52 + 9*z**3)*(4*z**2 - 28 - 2*z**2 + 2).
18*z**5 - 234*z**3
Expand ((-z + 0 + 0)*(-2*z + 0*z + 0*z) - 3*z**2 + 4*z**2 - 2*z**2)*(-136*z**3 - 10*z**3 - 124*z**3).
-270*z**5
Expand (-13*k**2 + 260*k - 275*k - 6*k**2)*(-2*k + 2*k + 2*k).
-38*k**3 - 30*k**2
Expand (3781*p - 86*p**3 - 3781*p)*(10 + 49*p**2 - 50*p**2 - 2 + p).
86*p**5 - 86*p**4 - 688*p**3
Expand (2*q + 9*q - 3*q)*(-q - 4*q + 4*q) - 5*q**2 - 4*q**2 + 24*q**2.
7*q**2
Expand -123*r**4 + 122*r**4 + 1 - 3*r**3 - 2*r - 2*r**3 + (-5 + 6 + 0)*(4*r**4 + r**4 + 0*r**4).
4*r**4 - 5*r**3 - 2*r + 1
Expand -3*k**4 + 1 - k**4 + 0*k**4 + (308 + 16*k - 308)*(4*k**3 - 4*k**3 - k**3).
-20*k**4 + 1
Expand (k**4 + 0*k**4 + 3*k**4)*(-5*k + k + k) + (k**4 - k**4 - k**4)*(0 - k + 0) + 6*k**5 - k**5 + k**5.
-5*k**5
Expand (1 - 4 + 0)*(-3 + 0 + 1)*(-1 - 197*d + 81*d - 82*d).
-1188*d - 6
Expand -2*m**4 + 3*m**4 - 4*m**4 + (-2*m + 5*m - 2*m)*(-2*m**3 + m**3 + 11*m**3) + 0*m**4 + 0*m**4 + 3*m**4.
10*m**4
Expand (3 - 2 - 2)*(-2*f + f - 2*f)*(5 - 3 - 3)*(2*f**2 - f**2 + f**2).
-6*f**3
Expand (83 - 2*u - 83 - 2*u + 0*u + u + u - 4*u + 2*u + (1 + 1 + 0)*(4 - 4 + u) + u + 2 - 2)*(-3*u + u - 3*u).
5*u**2
Expand (3*q**3 + 5*q**3 - 3*q**3)*(-1 + 6*q + 1)*(2 + 6 - 4).
120*q**4
Expand (22*p**2 - 6*p**2 + 12*p**2)*(-4*p + 4*p + 3*p**2) + 0*p**4 - 2*p**4 + p**4.
83*p**4
Expand (-4 + 3 + 3)*(-2 + 2*a + 2)*((1 + 1 + 0)*(-3*a + a + 5*a) + 9 - 5*a - 9).
4*a**2
Expand -2*n**3 + 2*n**3 + 4*n**5 + (0*n**2 - n**2 + 302 - 293 + 5*n**3)*(-n**2 + 0 + 0).
-n**5 + n**4 - 9*n**2
Expand (-c**2 + 0 + 0)*(4*c**3 + 70*c - 5*c**3 + 120*c).
c**5 - 190*c**3
Expand (-5*j**5 + 3*j**2 + 0*j**2 + 3*j**5)*(149 - 177 + 131).
-206*j**5 + 309*j**2
Expand -3*k**5 + 3*k**5 - 3*k**5 + 7*k**5 - 4*k**5 - k**5 - k**5 + 13*k**5 + 0*k**5 + (-2*k - 2*k + 2*k)*(-4*k**4 + 0*k**4 + 6*k**4).
7*k**5
Expand (-42*v - 18*v - 138 + 137)*(-6*v + 5*v - v).
120*v**2 + 2*v
Expand (2*a**2 + 1 - 1)*(8 + 591 - 150 + 587 - 38).
1996*a**2
Expand 7*a**3 - 2*a**3 - 3*a**3 + (-90*a - 19*a**2 + 90*a)*(8*a + 0*a - 4*a).
-74*a**3
Expand (224 + 71*r - 78*r - 87)*(2*r + 2*r - 2*r).
-14*r**2 + 274*r
Expand (-34*k**4 + 138 - 138)*(-1 + 1 + 2).
-68*k**4
Expand (2 + 0 - 5)*(-9*j**2 + 41*j**2 - j**2).
-93*j**2
Expand (14*h - 14*h - 5*h**3)*(-2*h**2 - 2*h**2 + h**2) - 2*h**5 + 8*h**5 - 3*h**5.
18*h**5
Expand (4 - 4 - y)*(52 - 19*y**2 - 52 - 4 - 2*y**2 + 4 + (2*y + y**2 - 2*y)*(3 - 1 + 0) - 2*y**2 + 2*y**2 - y**2).
20*y**3
Expand (-248 + x**2 + 509 - 252 - 2*x)*(1 - 1 - 1).
-x**2 + 2*x - 9
Expand (18*r - 353 + 353)*(-r**2 - r**4 + r**2 + r**4 + 0*r**4 + 2*r**4 + (-5*r + r + 5*r)*(0*r**3 + 4*r**3 - 5*r**3)).
18*r**5
Expand (0 + 1 - 3)*(33*t + 20*t - 38*t).
-30*t
Expand -38*t**3 + 2*t - 520*t**2 + 79*t**3 - 43*t**3 + (-9*t**2 + 0*t**2 + 3*t**2)*(-2*t + 0*t + 0*t).
10*t**3 - 520*t**2 + 2*t
Expand (0*c**2 + 2*c**2 + 0*c**2)*(-2 - 2*c + 2) + 3*c**3 - 6*c**3 + 4*c**3 + (3 - 3 - 4*c**2)*(0*c + 0*c + c) - 2*c**2 + 3 + 3*c**3 + 8*c**3 - 6*c**3.
-2*c**3 - 2*c**2 + 3
Expand (1 - 3 + 1 + (2 - 2 + 3)*(-5 + 1 + 3))*(8*u**5 + 123*u**3 - 123*u**3).
-32*u**5
Expand -3*b**2 - 3*b**2 + b**2 + (2*b + 0*b - b)*(-2*b + 4*b - b) + (2*b - 3*b - b)*(53 + 2*b - 53) - 3*b**2 - 2*b**2 + 4*b**2.
-9*b**2
Expand (3 + 3 - 4 + 0 - 3 + 1 + (3 - 2 - 3)*(2 - 1 - 3))*(-3*a + 6*a - 4*a)*(34*a - 48*a - 69*a).
332*a**2
Expand (5 - 2 - 2)*(-102*x**2 + 299*x**2 + 223*x**2).
420*x**2
Expand -z**4 - 3*z**2 + 3*z**2 + (2*z**2 - 2*z + 2*z)*(2*z - 2*z**2 - 2*z) - 34*z**4 + 3*z + 2*z + 16*z**4.
-23*z**4 + 5*z
Expand (307*d**3 + 19 - 19 - 947*d**3)*(-2*d + 0*d + d).
640*d**4
Expand -70 + 26*s + 70 + (11 - 11 + 19*s)*(-2 - 2 + 3).
7*s
Expand (-5 + 3 + 0)*(23*g + 17 - 17) - 2*g - g + 2*g + 0*g + 2*g + 0*g - 6*g + 0*g + 4*g + (5 - 2*g - 5)*(-1 + 0 - 1) - 2 + 2 + 2*g.
-41*g
Expand -258*p**5 - 3*p**2 + 261*p**5 + p**2 + 22*p**3 - 2 + (3*p**5 + 0*p**5 - 4*p**5)*(-4 + 0 + 0).
7*p**5 + 22*p**3 - 2*p**2 - 2
Expand 29 + 32 + 33 - 94 + 2137*u**3 + (0 - u**2 + 0)*(3 - 3 - 2*u).
2139*u**3
Expand (k - 6*k + 3*k)*(14 + 8 + 3 + (3 + 2 - 6)*(-3 + 0 - 1)).
-58*k
Expand (88*d**2 + 28*d**2 - 30*d**2)*(-d + 0 + 0)*(-2 - 2 + 3).
86*d**3
Expand (492*g**3 - 468*g**3 + 237*g**3 + 230*g**3)*(-2 + g + 2) - g**4 + 2*g**3 - 2*g**3.
490*g**4
Expand (-159 - 110 + 86)*(5 + 1 - 4)*(2 - 1 - 3)*(2*z**3 - 4*z**3 + z**3).
-732*z**3
Expand -43*h - 350*h - 151*h + (-4 + 2 + 1)*(-2*h + h + 0*h) + 2*h + 2 - 2.
-541*h
Expand (-2*r - 2*r + 3*r)*(-62*r - 129 + 33*r + 27*r).
2*r**2 + 129*r
Expand (0 + 0 + 2*v)*(0*v**4 + 3*
|
{
"pile_set_name": "DM Mathematics"
}
|
91, 5351
List the prime factors of 3193575452.
2, 3461, 230683
List the prime factors of 2962536578.
2, 673, 2200993
List the prime factors of 113377687.
73, 1553119
What are the prime factors of 91544764?
2, 29, 43, 18353
List the prime factors of 521101457.
521101457
List the prime factors of 113096570.
2, 5, 47, 240631
List the prime factors of 70639080.
2, 3, 5, 17, 31, 1117
List the prime factors of 41552960.
2, 5, 129853
List the prime factors of 98411258.
2, 11, 281, 15919
List the prime factors of 463798263.
3, 2879, 53699
What are the prime factors of 22798823?
22798823
List the prime factors of 249710707.
359, 695573
What are the prime factors of 263515004?
2, 31, 59, 181, 199
What are the prime factors of 166276825?
5, 11, 13, 46511
List the prime factors of 3684807876.
2, 3, 337, 911179
What are the prime factors of 1660427026?
2, 17, 43, 557, 2039
What are the prime factors of 623522501?
7, 12724949
What are the prime factors of 26522778?
2, 3, 4420463
What are the prime factors of 455037197?
3989, 114073
What are the prime factors of 39703567?
113, 351359
What are the prime factors of 48437686?
2, 11, 31, 71023
What are the prime factors of 65346635?
5, 179, 73013
List the prime factors of 5475291002.
2, 29, 101, 934669
What are the prime factors of 63718124?
2, 293, 54367
What are the prime factors of 37001136?
2, 3, 61, 12637
What are the prime factors of 3567118041?
3, 17, 26891
List the prime factors of 193913832.
2, 3, 7, 17, 43, 1579
List the prime factors of 838579870.
2, 5, 281, 298427
What are the prime factors of 67352511?
3, 19, 241, 4903
List the prime factors of 164532292.
2, 2683, 15331
List the prime factors of 1699673076.
2, 3, 293, 161137
List the prime factors of 2378330159.
61, 1811, 21529
List the prime factors of 52896842.
2, 2113, 12517
What are the prime factors of 171107628?
2, 3, 14258969
What are the prime factors of 110645891?
1723, 64217
List the prime factors of 2126598017.
17, 125094001
List the prime factors of 20906989.
31, 674419
What are the prime factors of 15466373?
13, 23, 173
List the prime factors of 4659970555.
5, 17, 54823183
List the prime factors of 32344417.
7, 23, 79, 2543
List the prime factors of 23490046.
2, 11745023
List the prime factors of 8725661.
7, 41, 30403
List the prime factors of 1323729177.
3, 441243059
What are the prime factors of 65781576?
2, 3, 7, 47, 2777
List the prime factors of 59839648.
2, 11, 47, 3617
List the prime factors of 1002244028.
2, 2281, 109847
What are the prime factors of 28824015?
3, 5, 11, 15881
List the prime factors of 300836145.
3, 5, 20055743
What are the prime factors of 438972271?
438972271
List the prime factors of 974250067.
7, 59, 1237, 1907
What are the prime factors of 47683591?
47683591
List the prime factors of 1617554845.
5, 17, 107, 293, 607
List the prime factors of 405679285.
5, 11, 37, 311, 641
List the prime factors of 643463645.
5, 11, 67, 174617
List the prime factors of 225451134.
2, 3, 197, 21193
List the prime factors of 30594090.
2, 3, 5, 103, 9901
What are the prime factors of 64793136?
2, 3, 53, 25469
What are the prime factors of 2019596705?
5, 7, 103, 560221
What are the prime factors of 5905392345?
3, 5, 43743647
List the prime factors of 4677944034.
2, 3, 4673, 166843
List the prime factors of 180129474.
2, 3, 7, 47, 10139
What are the prime factors of 117098379?
3, 67, 21577
What are the prime factors of 544939790?
2, 5, 54493979
What are the prime factors of 589317316?
2, 7, 23, 31, 4217
List the prime factors of 833281312.
2, 26040041
List the prime factors of 63470209.
11, 929, 6211
What are the prime factors of 172977507?
3, 593, 32411
List the prime factors of 4079563700.
2, 5, 53, 769729
List the prime factors of 404681812.
2, 31, 151, 21613
List the prime factors of 1530901888.
2, 11960171
List the prime factors of 10479202.
2, 67, 78203
What are the prime factors of 15438724?
2, 7, 227, 347
List the prime factors of 135447302.
2, 151, 241, 1861
List the prime factors of 61146694.
2, 7, 31, 140891
What are the prime factors of 768713474?
2, 127, 3026431
List the prime factors of 615938998.
2, 19, 421, 38501
What are the prime factors of 921945972?
2, 3, 17, 43, 227, 463
List the prime factors of 3603162188.
2, 29, 31061743
What are the prime factors of 337077253?
919, 366787
List the prime factors of 985115972.
2, 37, 179897
What are the prime factors of 4413939078?
2, 3, 43, 857, 19963
What are the prime factors of 122548372?
2, 89, 344237
What are the prime factors of 1586975240?
2, 5, 1601, 24781
List the prime factors of 316940521.
71, 1423, 3137
List the prime factors of 2128694203.
19, 523, 214219
List the prime factors of 5206372466.
2, 2603186233
List the prime factors of 665143340.
2, 5, 33257167
What are the prime factors of 12307740?
2, 3, 5, 205129
List the prime factors of 28565780.
2, 5, 17, 84017
List the prime factors of 36992204.
2, 17, 661, 823
List the prime factors of 206417013.
3, 11, 6255061
What are the prime factors of 59967773?
811, 73943
What are the prime factors of 234375723?
3, 37, 157, 4483
List the prime factors of 16812707.
16812707
What are the prime factors of 129416425?
5, 337, 15361
What are the prime factors of 223668015?
3, 5, 14911201
List the prime factors of 8957571.
3, 7, 426551
What are the prime factors of 17969662?
2, 191, 47041
List the prime factors of 1958116582.
2, 2953, 331547
List the prime factors of 248694927.
3, 13, 31, 205703
What are the prime factors of 47251004?
2, 1439, 8209
List the prime factors of 2612377060.
2, 5, 2551, 51203
What are the prime factors of 3571799414?
2, 71, 643, 39119
What are the prime factors of 197952504?
2, 3, 8248021
List the prime factors of 628503664.
2, 4933, 7963
What are the prime factors of 658526?
2, 11, 37, 809
What are the prime factors of 2864710016?
2, 7, 29, 41, 2689
List the prime factors of 511845044.
2, 17, 311, 24203
What are the prime factors of 2087635168?
2, 3571, 18269
What are the prime factors of 46428393?
3, 11, 359, 3919
List the prime factors of 122626200.
2, 3, 5, 204377
List the prime factors of 856219232.
2, 11, 251, 881
What are the prime factors of 278235553?
41, 181, 37493
List the prime factors of 267935329.
127, 2109727
List the prime factors of 152352625.
5, 1218821
What are the prime factors of 3462908345?
5, 13, 53275513
What are the prime factors of 461250849?
3, 59, 487, 5351
List the prime factors of 182171149.
182171149
What are the prime factors of 764643486?
2, 3, 19, 353021
List the prime factors of 13128957.
3, 241, 6053
What are the prime factors of 46462257?
3, 5162473
List the prime factors of 36070723.
13, 67, 41413
List the prime factors of 243450027.
3, 1523, 17761
What are the prime factors of 1874709376?
2, 31, 472457
List the prime factors of 332075937.
3, 31, 383, 9323
What are the prime factors of 338982792?
2, 3, 607, 23269
What are the prime factors of 69252586?
2, 13, 23, 115807
What are the prime factors of 53218235?
5, 7, 139, 10939
List the prime factors of 6023974326.
2, 3, 3793, 264697
List the prime factors of 537702277.
7, 7951, 9661
What are the prime factors of 575737611?
3, 31, 6190727
What are the prime factors of 427980906?
2, 3, 23776717
List the prime factors of 27108509.
4597, 5897
List the prime factors of 235933235.
5, 47186647
List the prime factors of 1002680944.
2, 17, 3686327
What are the prime factors of 73743835?
5, 11, 1340797
What are the prime factors of 239577040?
2, 5, 2994713
List the prime factors of 125322525.
3, 5, 401, 463
What are the prime factors of 1413509958?
2, 3, 7, 647, 2477
What are the prime factors of 29272124?
2, 7, 73, 14321
List the prime factors of 17855998.
2, 163, 54773
What are the prime factors of 9079879?
97, 93607
What are the prime factors of 48657565?
5, 11, 61, 14503
What are the prime factors of 67936118?
2, 163, 208393
What are the prime factors of 8676101?
7, 1239443
What are the prime factors of 1280540735?
5, 71, 3607157
What are the prime factors of 53315958?
2, 3, 43, 206651
What are the prime factors of 1218304312?
2, 152288039
What are the prime factors of 934012945?
5, 186802589
What are the prime factors of 1685868079?
7, 34405471
What are the prime factors of 39240816?
2, 3, 257, 3181
What are the
|
{
"pile_set_name": "DM Mathematics"
}
|
-1
a
Let q be (1/5)/(2/(-15)). Let n be 0 - 7 - 2*-1. Which is the second smallest value? (a) n (b) q (c) -8
a
Let i(z) = -33*z - 329. Let g be i(-10). What is the biggest value in g, 3.4, 0?
3.4
Let i(m) = m**3 - 9*m**2 + 17*m - 19. Let v be i(7). Let r = 5/4 - v. Which is the third biggest value? (a) -5 (b) -2 (c) r
a
Let w = 1.1 - 5. Let o = -3.5 - w. Which is the third smallest value? (a) o (b) -0.08 (c) -4/5
a
Let j be 2/(-10)*-5*1. Let v be ((-11)/(-2) - 3) + (-3 - -1). Which is the third smallest value? (a) j (b) -4 (c) v
a
Let v = 4063 - 4058. Let s = 5 - 1. Which is the second smallest value? (a) 5/3 (b) v (c) s
c
Let m = -1665 + 1667. Let v = -4.6 + 5. What is the second smallest value in 4, v, m?
m
Let a = -7.5 + 7. Let q = 32 - 29. Let l = -2/187 + -179/748. What is the smallest value in q, l, a?
a
Let l be 12 + (14 - 5) - (3 + 1). Which is the second biggest value? (a) -3 (b) 2/5 (c) l
b
Let m = 5.72 - 6.22. What is the third biggest value in -2/3, m, 5, -2/63?
m
Let z = -0.4 - -31.4. Let r = z + -26. Suppose 5*w + 4 = -3*l, -l = -4*w + 5*w. What is the third smallest value in w, -2/13, r?
r
Let y = 3397/3 - 1131. What is the smallest value in 19, 2/3, y, -1/2?
-1/2
Suppose 0 = -29*i + 26*i + 9. Let p = 2 + -4. Which is the biggest value? (a) i (b) p (c) 0.2
a
Let q = -35 - -3. Let p = q + 23. Let f = 81.7 + -81.6. Which is the biggest value? (a) f (b) p (c) 1/5
c
Let o = -178 + 154. What is the third biggest value in 1, 1/10, o, -4?
-4
Let h = 0.17 - -1.23. Let i = -1.9 - h. Let m = -3.7 + i. Which is the third smallest value? (a) 3 (b) 5 (c) m
b
Let c = 0.3 + -0.26. Suppose -150 = 3*z + 5*u - 117, -5*u - 31 = z. What is the smallest value in c, 2, z?
z
Suppose -10*j + 5*j = 5. Let d be -2 + 0/j + 6. What is the third smallest value in -3/2, d, -3/5?
d
Let t = 9.98 + -9.58. What is the second smallest value in -92, -1/2, t?
-1/2
Let o(h) = -3*h - 5. Let d(z) = 5*z + 10. Let g(a) = -4*d(a) - 7*o(a). Let y be g(4). Let b = -1.25 + 1.05. What is the second biggest value in y, b, -2/7?
-2/7
Let k = -7 - -6.945. Let p = k + -3.945. Which is the second biggest value? (a) p (b) 2/3 (c) 0
c
Let k = 766 + -764. Which is the smallest value? (a) 0.03 (b) -2/9 (c) k
b
Let i = 996/5 + -199. Let v be (3/36)/(9/24). What is the second smallest value in i, 5, v?
v
Let r = 1347 - 1343. Which is the third biggest value? (a) -11 (b) r (c) 6/5 (d) -1
d
Let w = -214 + 213.5. What is the biggest value in 0.1, w, -0.3, 0.4?
0.4
Suppose 2*m = -3*l - 4, 3*l = 7*l + 5*m + 3. Let x = 52 - 48.01. Let z = 0.01 + x. What is the third smallest value in l, z, 3?
z
Suppose z + 4 = -5*i - 18, 4*z + i = -12. What is the second smallest value in 3/5, 0.27, z?
0.27
Let x = -122 - -118.95. Let i = x + 0.05. Let v = -5373/8 - -672. Which is the biggest value? (a) -2/5 (b) v (c) i
b
Let g = -136 - -137. What is the second smallest value in g, -1/6, 0, -1/11?
-1/11
Suppose 0*u - 20 = 10*u. Suppose x - o - 6 = 0, 2*x + 3*o - 1 = -4. Which is the third biggest value? (a) 1 (b) 0.5 (c) u (d) x
b
Let v be 2*((-10)/4 - 4). Let h = 38/3 + v. Which is the smallest value? (a) h (b) -6 (c) -2
b
Let n = -2/931 + -1852/4655. What is the second biggest value in 1/17, -4, n, 0.5?
1/17
Let l(r) = -5*r**2 + 48*r + 699. Let t be l(-8). Suppose w - 13 = -4*o, -3*w + 33 = 4*o + 2*w. Which is the second biggest value? (a) o (b) t (c) 2/11
c
Let w = 0.00055 + 4.99945. Let n = -7751 + 434089/56. Let m = 7/8 - n. Which is the second biggest value? (a) -2 (b) m (c) w
b
Let x = 342.7 + -343. What is the biggest value in x, -2, 0.4, -0.5?
0.4
Let j = 14.6 - 14.86. What is the second biggest value in j, 5, -1?
j
Let h = 4.9 - -0.1. Let y = 8 - h. Suppose -78*m = -79*m - 5. Which is the third smallest value? (a) y (b) m (c) -2
a
Let t be 0 + 2*(-1)/(-7). Let g be (9 - 1)/((-2)/4). Let c = g + 65/4. What is the biggest value in 5, t, c?
5
Let d be 255/34*(1 - 55/50). What is the biggest value in d, -1.7, 4/5, -0.3?
4/5
Let z = 1685/4 + -418. Which is the second biggest value? (a) z (b) 1 (c) 0.1
b
Let q = -37 + 483/13. Let r = -6.9 + 10.9. What is the second biggest value in 2/5, r, q?
2/5
Let h be ((-6)/(72/(-15)))/(1/1). Let w be (-12)/30*10/12. Which is the smallest value? (a) -1 (b) h (c) w
a
Let z be -1 + (-2)/(-12) + 24/24. Which is the third smallest value? (a) 1 (b) z (c) -10
a
Let z = 0.1145 + -0.1145. What is the second smallest value in z, -0.16, 3/5, 3/8?
z
Let g = -0.2 + 0.3. Suppose 0 = -0*m + 5*m - 2*y + 154, 3*y = -3*m - 105. Let r = m + 33. Which is the biggest value? (a) r (b) 5 (c) g
b
Let c = 4 + -2. Let a = -10688 + 10692. What is the biggest value in a, c, -2, -5?
a
Let n = -949 - -949. Let v = -0.8 - 3.2. Which is the biggest value? (a) n (b) v (c) 2 (d) -10
c
Let p = 0.12 - 0.53. Let l = 4.41 + p. What is the second biggest value in -8, -0.5, -1/4, l?
-1/4
Let l = -134 - -130. Which is the third smallest value? (a) -41 (b) 1 (c) l (d) 2
b
Let n = 8 + -9. Let b = 0.76 - 1.06. What is the third biggest value in b, 2, n?
n
Let t = 6 - 4. Let u be (3/(-9))/((-4)/48). Which is the second biggest value? (a) 3 (b) t (c) u
a
Let h = 0.2146 - 0.1346. Let m = 2/41 - 47/123. Which is the biggest value? (a) -3 (b) h (c) m
b
Let z = -474 + 477. Let l = 1.9 - 1.5. Which is the second smallest value? (a) 4 (b) z (c) l
b
Let v = -1.04 - -0.9. Let c = v - 0.06. Let s = -7 - -6.7. What is the third smallest value in s, c, 2/11?
2/11
Let z(w) be the second derivative of w**5/20 + w**4/6 - 2*w**3/3 - 14*w. Let i be z(-3). What is the biggest value in i, 0.5, 1/7?
i
Let u = 66 - 59. Let h = 2.4 + -0.4. Let z = u - h. What is the third smallest value in 4/9, -1/8, z?
z
Let l = 208 + -207. What is the second biggest value in 5, -4, l, -1/3?
l
Let d = -0.07 - 3.33. Let u = -3 - d. Which is the third smallest value? (a) u (b) -2 (c) -2/9
a
Let f be 4/36*15*3. What is the third biggest value in f, -5/21, -0.5?
-0.5
Let w(t) = -t**3 - 14*t**2 + 14*t - 13. Let a be w(-15). Let x = -95 + 99. What is the smallest value in x, a, 2/5?
2/5
Let m = 5.84 - 2.84. Which is the second biggest value? (a) -0.29 (b) -2/5 (c) m (d) 2/5
d
Let r = 5.6 - 0.6. Let u = -6 + 3. Let s be (4 - 3 - u)*-1. What is the third biggest value in r, s, 1?
s
Suppose -k + 3*q + 3 = 4*q, q - 3 = 2*k. Suppose 4*o - 9 - 3 = k. Which is the third smallest value? (a) -0.2 (b) -0.03 (c) -4 (d) o
b
Suppose -3*v + 7 = -4*q - q, -5*q + 4*v = 11. Suppose -5*c = -3*u - 28, 3*c - u - 14 = -2*u. What is the biggest value in -0.07, q, c?
c
Let s = 249 + -254. What is the fourth smallest value in 0.5, s, -4, -28?
0.5
Let y = 113/28 + -23/7. Let s = -2.44 - -4.44. What is the third biggest value in y, 5, s?
y
Let i = 56.9 + -59. Let p = i + 2. Suppose 6*y - y = 20. Which is the second smallest value? (a) y (b) p (c) -5
b
Let q = 0.3 - 0.1. Let f = 9.8 + -12.8. What is the third smallest value in q, -1, f?
q
Let s = 669.1 - 669. Let k = -1.8 - -2. What is the smallest value in 5, s, k?
s
Let z be 123*(2 - (-2)/((-6)/5)). Let g = 37 - z. Which is the biggest value? (a) g (b) 4 (c) 3 (d) -1
b
Let o = 1094 - 1082.74. Let l = -11 + o. Let w = l - -0.04. Which is the smallest value? (a) -5 (b) -1/2 (c) w
a
Let n = 85 - 83. Let q be -2 - -3 - (-27)/(-21). Which is the second biggest value? (a) -14 (b) q (c) n
b
Let g = -2.831 - -0.031. Let l = g - -1.8. What is the third biggest value in -2, l, -2/11?
-2
Let q = -0.096 - 0.104. What is the third smallest value in -3, 0.4, 3/4, q?
0.4
Let j = -2935/6 + 489. Which is the biggest value? (a) 2/5 (b) -0.32 (c) j
a
Let n be (4/(-100))/((-11)/(165/2)). What is the second biggest value in 4, -2/9, n?
n
Let f = -0.01 + -0.69. Let w = -19 + 18.86. Let x = -0.06 + w. Which is the second smallest value? (a) x (b) f (c) 4
a
Let v(y) = -y + 2. Let k be v(-3). Let p = 0.26 + -0.37. Which is the third smallest value? (a) 4 (b) 2 (c) k (d) p
a
Let i = -20.2 - -20. What is the third smallest value in -50, i, -2/11?
-2/11
Let x = 49.2 + -49. Which is the fourth biggest value? (a) x (b) 3 (c) -2/7 (d) -1
d
Let z be (-8)/76 - (186/38 - -2). Which is the biggest value? (a) -4 (b) -1 (c) z (d) 0
d
|
{
"pile_set_name": "DM Mathematics"
}
|
alue? (a) -3 (b) u (c) g (d) -2
b
Suppose -786 = -53*t - 786. Which is the biggest value? (a) -1.02 (b) 1 (c) t
b
Let b = 0.104 + 3.746. Let c = 29436 + -29437.15. Let h = c - b. What is the second biggest value in -3/7, h, 0.04?
-3/7
Let l = -106.1 - -104.1. Which is the third smallest value? (a) l (b) 3/4 (c) -191 (d) 0.8
b
Let r be (15/60)/((-1)/(-152)). What is the biggest value in 5, -0.5, r, 1?
r
Let s = 4262/5 - 858. What is the third biggest value in -0.4, s, 3/5?
s
Let j be (-244)/(-44) + 1860/(-3410). Let r be (-63)/12*8/(-26). Let h = r - 79/65. What is the second biggest value in -60, j, h?
h
Suppose -9 = -3*b + 5*f, -5*f = -6*f - 3. Let s be (-60)/510 - b/986*92. What is the smallest value in s, 5, 4/7?
s
Let y = 86.42 - 86. Let k = y + 0.08. Which is the second smallest value? (a) 2/31 (b) k (c) -3
a
Let r = -14/489 + 451/66993. Which is the smallest value? (a) r (b) -0.4 (c) 3
b
Let r be (-1)/34*-2*-6. Let u = -1.2405 + 0.0795. Let s = u - -0.161. Which is the fourth biggest value? (a) -0.3 (b) -0.2 (c) s (d) r
c
Let u = 117439 - 117439.4. Let l = 7 + -7.3. Let z = -16/21 + 10/7. Which is the smallest value? (a) -0.2 (b) l (c) u (d) z
c
Let z = -2 + 2. Let q = z + 0.12. Let f = 74095 + -74095.5. What is the second smallest value in f, -4, q?
f
Let i(d) = -2*d**3 + 35*d**2 + 16*d - 22. Let a be i(18). Let j = 56 + a. What is the smallest value in j, 2, 0.4, -1/5?
j
Let g = -651 - -647. What is the third biggest value in 1, 2/9, -0.3, g?
-0.3
Let t be -6 + (-72)/(-16) - (-1 - (-35)/(-126)). Which is the smallest value? (a) 1/4 (b) 0.03 (c) t (d) 2/15 (e) 1.8
c
Let y = 0.256 - -2.144. Let k = -4.22 + 0.22. Which is the biggest value? (a) 5/6 (b) y (c) k
b
Let r be (-3)/(((-315)/(-28))/15). Let n be (-4 - 84)/r*5/(-65). What is the third biggest value in n, 1, 2/17?
n
Let k = 0.276391 + -0.506391. Let p = -1 - 2. What is the biggest value in -2, k, p?
k
Let n = -502.53 + 242.53. What is the biggest value in 0, -0.4, 3/2, n?
3/2
Let y = -0.04 + -1.96. Let h = 4.24 + -4.24. Let k = -26 + 22. Which is the second smallest value? (a) k (b) -0.08 (c) h (d) y
d
Let w be (6 - (-152)/(-28))*3/6. Let u = -0.113 - -0.613. Let j = -0.2 + -0.8. Which is the third biggest value? (a) j (b) -2 (c) u (d) w
a
Let t be 4*(1/10 - (-4)/10). Suppose -9 = -3*l, y - 3*l + 11 = t*y. Suppose 0 = -6*h - y + 8. What is the fourth smallest value in h, -0.4, -1.4, 4?
4
Let z = -968 + 15483/16. Let x be (-2)/(-18)*((-24)/20)/((-10)/(-25)). Which is the second smallest value? (a) -0.2 (b) z (c) x
b
Let p = -0.053 - -12.053. Let j = -6 - -8. Which is the second biggest value? (a) -4/3 (b) p (c) j
c
Let r = -33.92 + 37.92. What is the third biggest value in 1, r, -5, -2?
-2
Let x be 3/(-2) - (-4)/16*-18. Let l = -1858 - -1854. Which is the third smallest value? (a) -1/3 (b) x (c) 1 (d) l
a
Let c = -3253.7 - -3251.8. What is the second biggest value in -4, 113, c?
c
Let x(z) = z + 2. Let l be x(-8). Let g be 2 + 0 + l - -3. Let d be 8*(g/(-2))/1. What is the smallest value in 6, d, -0.2?
-0.2
Let l = -2727 - -2616. What is the third biggest value in 1/4, -0.5, l?
l
Let k = 643 - 637.17. Let j = 6.23 - k. Which is the second smallest value? (a) -1 (b) j (c) 73
b
Let z = 436 + -91. Let x = z - 347. What is the smallest value in -3/4, x, 70?
x
Let q = 5.77 + -1.77. Let m be (2/3)/(-2 + 438/216). Which is the third smallest value? (a) q (b) m (c) -5
b
Let y = 205.02 + 0.98. Let f = 206.37 - y. What is the second smallest value in f, -5, -0.5?
-0.5
Let s = -0.1 + -1.9. Let q = s - -2.3. Let n = -122772 + 122771.7. What is the second smallest value in 3, q, n?
q
Let h = 741 - 387. Suppose 319 = -7*t + h. Which is the third biggest value? (a) -2 (b) t (c) 16 (d) 2/11
d
Let v = -163/5 - -32. Let f = 293 - 292.7. Which is the smallest value? (a) v (b) f (c) 5 (d) 0
a
Let i = 5549 - 5549.068. What is the smallest value in i, -0.5, -5, 1?
-5
Let i be 10*(2 + (-24)/15). Suppose -22*n + 23*n = i*z - 9, 4*z - 18 = -2*n. Let u = -281/5 + 56. Which is the second smallest value? (a) z (b) 6 (c) u
a
Let s = 7968 + -7965. Which is the fourth biggest value? (a) -4 (b) -2 (c) -0.5 (d) -3 (e) s
d
Let x = 55084/5 + -10983. Let t = x + -34. Let s = 4168 + -4167. What is the third biggest value in t, 2, s?
t
Let g = -6448 + 6443. Let u = -0.1 + 0.1. What is the second biggest value in g, -4, u?
-4
Let i be (1 - 1)*3*(-2)/(-18). Suppose w = 4*g - 5, -2*w + 3 + 3 = 0. Suppose g*v - 4*c - 27 = -7*c, 2*v - 3*c = 9. What is the biggest value in i, 1/2, v?
v
Let i = 1921 - 1921.4. Let t be (1/2)/((-90)/(-74)). Let y = -1/90 + t. What is the smallest value in i, 3, y?
i
Let n = 0.06769 - -2.93231. Which is the second smallest value? (a) 5 (b) 82 (c) n (d) 15
a
Let q be 12*(12/(-16) - -4). Let s be (0 - -3)/(q/(-26)). Let l be 3 + (s - 5/(-5)). Which is the biggest value? (a) l (b) 6 (c) 3
b
Suppose n + 247 = 2*l, -4*l + 374 + 110 = -4*n. Let a = 123 - l. What is the third smallest value in -1/2, 0, a?
0
Suppose -2*i = -4*b - 24, -i + 7*b - 6*b = -17. Suppose i*w - 12*w - 40 = 0. Let s be (-1)/(-28)*w*-2. What is the fourth smallest value in s, 0.1, 1, -1/6?
1
Let i = -815 - -1623/2. What is the fourth smallest value in 0, i, 2, -1/7?
2
Let y be 18/(-7) + 28/49*6/(-8). What is the fourth biggest value in -13/2, 2, y, 9?
-13/2
Let x be (148/(-444))/((-2)/(-12)). Let i = -41 - -32. Which is the biggest value? (a) -5 (b) x (c) i
b
Let h = -190508/7 - -27208. What is the smallest value in h, 18/5, 2/15?
h
Let f = -2.065 + 2.465. Let y = -8 + 8.1. Let n = -4 - -2.5. Which is the biggest value? (a) y (b) f (c) n (d) -1/2
b
Let t = -34 - -32. Let h be t/(-9)*(7 + -1). Suppose 3 - 4 = d. What is the second smallest value in d, h, -18?
d
Suppose 60*w = 65*w + 80. Let u be w/(-200) + 39/450. Let v = 3 + 2. What is the smallest value in 1/10, v, 4, u?
1/10
Suppose -2*i - 14 = -3*b - 4*i, 4*i = -3*b + 16. Let w = -8 + b. Let m be ((-2)/(-16))/(w/24). What is the third smallest value in 0.01, m, 1?
1
Let n be 147/(-245)*(-314)/(-9). Let v = n - -104/5. Which is the smallest value? (a) -0.04 (b) -5 (c) -5/2 (d) v
b
Let s = -13/19 - 11/95. Which is the fourth biggest value? (a) -6 (b) -0.5 (c) -0.4 (d) s
a
Suppose 165 - 168 = 3*c. Let j be 1/8 + (-1904)/(-128) + -13. What is the second biggest value in 0.8, c, j, -5?
0.8
Let a(o) = -o**3 - o**2 - 2. Let c be a(-2). Let h = 21.04 + -25.04. What is the third biggest value in c, 8, h?
h
Let y(v) = v + 10. Suppose 3*g + 4*w = g, 5*w = 15. Let d be y(g). Let t be d/(-14) + (-192)/112. Which is the third smallest value? (a) 3/7 (b) -0.5 (c) t
a
Let q = -451.6 - -451.8. Which is the fourth biggest value? (a) 0.5 (b) 0 (c) -0.033 (d) q (e) -2
c
Let m be (33/(-44))/((-5)/(-4) + 0). Let f = -17.7 + 16. Let u = f + -1.3. Which is the biggest value? (a) 5 (b) m (c) u
a
Let j = -84.4 + 83. Let n = 11.6 - j. Let f = -17 + n. What is the third biggest value in f, 2, -11?
-11
Let v = 14 + -16. Let n be (v/3)/((-22)/(-6)). Let y = -0.18 + 0.08. Which is the second smallest value? (a) 5 (b) n (c) y
c
Let i = 653.6 - 660.6. What is the third smallest value in 0.09, 0, i, 0.02?
0.02
Let n be 10/(-45) + (-188)/(-36). Let d be (9/(567/91))/(4/(-3)). Let u = d + 4/3. Which is the third biggest value? (a) n (b) -0.4 (c) u
b
Let g = 0 - 0. Let u = -0.023014 + -0.476986. Which is the second biggest value? (a) 51 (b) g (c) u
b
Let v = 448 + -426. Suppose x - 25 = -4*x, 4*s = -2*x + v. Let z = 0.33 + -0.03. Which is the fourth biggest value? (a) z (b) 5 (c) s (d) -0.4
d
Let g be 18/27 - 8/6. Let v = 12998 - 12997.5. Which is the smallest value? (a) -12 (b) g (c) -4 (d) v
a
Let z = -73 + 67. Let s be (-12)/(-18)*1/z*-3. What is the biggest value in s, -3, -0.7?
s
Let s = 4871 - 4871. Which is the fourth smallest value? (a) s (b) 16 (c) -1 (d) -0.3
b
Let x = -306/41 + 407/82. Which is the second biggest value? (a) 16 (b) x (c) 1 (d) 0 (e) 0.2
c
Let r = -0.2 - -1.2. Let z(p) = -21*p - 126. Let d be z(-19). Let a be d/(-245) + 2 - 4/14. What is the second biggest value in r, a, 5?
r
Let q = -0.3299 - -0.0299. Let p = 9 - 8.98. What is the second smallest value
|
{
"pile_set_name": "DM Mathematics"
}
|
). What is the units digit of t*(-1)/(-4) - -301?
6
Suppose 2*b - 4*w - 37 = b, -3*w = 5*b - 116. Suppose -4*t + 29*o + 4692 = b*o, -4*o + 4716 = 4*t. What is the tens digit of t?
7
Let t(f) = -f**2 - 7*f + 25. Suppose 0 = -o + 3*x - 20, -3*o = 2*x - x + 30. Let m be t(o). Let j = 32 - m. What is the units digit of j?
1
Suppose 4*r + 52730 = 3*w, 62*w - 61*w + 5*r - 17545 = 0. What is the units digit of w?
0
Let j(q) = 10*q + 28. Let y(u) = 3*u + 9. Let r(g) = -2*j(g) + 7*y(g). Let v be r(-4). Let h(x) = 4*x**2 + 5*x - 2. What is the units digit of h(v)?
9
What is the tens digit of (-6 + 6 - -3)/(-1)*-1787?
6
Let i = 9411 - 4659. What is the units digit of i?
2
Suppose 168*k - 800 = 164*k. Suppose a = k + 168. What is the hundreds digit of a?
3
Let v = -20512 - -34111. What is the ten thousands digit of v?
1
Let t(p) = 23035*p + 2415. What is the ten thousands digit of t(1)?
2
Suppose -l = 2*p - 29350, -73414 = -5*p - 4*l + 8*l. What is the units digit of p?
8
Let m be 0 + -1 + 13*2. Let x = -16649 + 16669. Suppose -m*y + 15 = -x*y. What is the units digit of y?
3
Suppose 0 = 11*c - 391 + 1403. Let p be c*(-3 - (-5)/2). Suppose 5*o - 3*l = 384, 2*l - 98 = -2*o + p. What is the units digit of o?
5
Let o = -205 - -193. What is the units digit of (-1)/3 + ((-208)/o - 1)?
6
Suppose -341 = 2*v + 65. Let f = 130 + v. Let j = f - -167. What is the units digit of j?
4
Suppose y = -k + 21, -5*y + 8*y - 33 = 3*k. Suppose y*h + 1343 = 6991. What is the hundreds digit of h?
3
Suppose 3*d - 7*b - 1 = -5*b, -5*d - 5*b = -35. Suppose -d*l + 316 = -806. What is the tens digit of l?
7
Suppose -4*f - 2792 = 4*q, -5*f + 585 - 4079 = 3*q. Let c = f + 1000. What is the tens digit of c?
0
Suppose 2*t = 6*t - 16. Suppose -t*w - 74 = -3*h, -76 = 2*h - 4*h - 4*w. What is the tens digit of (14 - h)*-2*1?
3
Suppose 4*i = 5*t - 12 - 451, 5*t = 3*i + 466. Let k = -7 + t. What is the units digit of (k/(-32))/(1 + (-17)/16)?
4
Let m(c) = 42*c**3 + 29*c**2 - 73*c - 4. What is the tens digit of m(9)?
0
Suppose -9*p + 1 = -11*p + 5*m, 3*p - m = 5. What is the units digit of 1594/2 + p/(-2)?
6
Suppose 4*a - 6260 = 5472. What is the hundreds digit of a?
9
Let n be 1/3 - (-374)/66. Suppose -j = 5*k + 8 - 0, -k = -2*j + n. Suppose 2*b = -2*c + 74, -j*c - 4*b + 9 + 59 = 0. What is the units digit of c?
0
Suppose 122*o - 105*o = 60860. What is the thousands digit of o?
3
Let h be 4*3/6*35/(-5). What is the tens digit of h/98 - (701/(-7) - 2)?
0
Suppose 18998*g - 38256 = 18990*g. What is the units digit of g?
2
Let b be (-1)/(-4) - 89/4. Let w = -6118 + 6120. What is the units digit of (w - 4)/4 - b/4?
5
Suppose -605 = 3*h + 4*o, 0*h = -3*h + 5*o - 641. What is the hundreds digit of 2/((-12)/h)*4?
1
Let x be (97710/27)/5 - (-2)/9. Let z = -153 + x. What is the tens digit of z?
7
Suppose 2*d - 5*g - 291 - 17060 = 0, 5*d = -3*g + 43300. What is the tens digit of d?
6
What is the ten thousands digit of (-3 - 12/(-8))*(-2 + 110684/(-6))?
2
Let g(s) = -3*s + 10*s**2 + 6*s**2 + 6*s**2 + 4*s - 21*s**2 - 8. Suppose -c - 32 = -5*c. What is the tens digit of g(c)?
6
Let o(u) be the first derivative of u**4/4 - 2*u**3/3 - 3*u**2 + 262*u - 65. What is the units digit of o(0)?
2
Let j = 754 - 706. Suppose 0 = -j*a + 51*a - 2673. What is the units digit of a?
1
Suppose -2*g - 7 = -u + 2, -5*u - 11 = 4*g. Let p(w) = -8*w - 75*w + 252*w + 1. What is the hundreds digit of p(u)?
1
Let z = 18 - 8. Let v(o) = 121*o - 10*o - z*o + 40*o - 4. What is the tens digit of v(1)?
3
What is the tens digit of 0 - 0 - (-187)/(-22)*-1422?
8
Let d be (30/(-75))/(0 + (-1)/505). Suppose 246 + d = 3*z - 2*r, 458 = 3*z - 4*r. What is the hundreds digit of z?
1
Let b(w) = -w**3 - 34*w**2 + 25*w + 44. Suppose 2*u + 70 = -2*j + 10, -5*u = -3*j - 130. What is the tens digit of b(j)?
9
Suppose -23 = -5*m + 2*q + 167, 4*q = m - 20. Suppose 650 = -35*k + m*k. What is the tens digit of k?
3
Let z(h) = -25*h + 11 - 21 + 99*h + 8. What is the tens digit of z(1)?
7
Let r(l) = l**2 + 10*l - 17. Let v be r(-12). Suppose -2*x + 61 = -u, x - v*u = -2*u + 26. Let m = x + 16. What is the tens digit of m?
4
Suppose 0 = -9*v + 4*v. Suppose 7*d - 3*d = -4, v = 2*p + d - 527. Suppose -2*x + 6*x - 4*m - p = 0, 196 = 3*x - 4*m. What is the tens digit of x?
6
What is the thousands digit of 7*(-1)/2*1425676/(-2891)?
1
Let d = 36 + -36. Suppose -5 = -3*k + 2*p - 4*p, d = 2*k + p - 5. Suppose r + 16 = k*r. What is the units digit of r?
4
Let m(p) be the second derivative of -2*p**3 + 39*p**2/2 + 2*p. Let r be 3 - ((-10)/15)/(2/(-51)). What is the units digit of m(r)?
7
Let l(r) = 5*r**3 - 33 - 4*r**3 - 2*r**3 + 145 - 6*r**2 - 110 + 10*r. Suppose -3*w - 17 = 5*f, -3*w + 2*f - 4*f - 23 = 0. What is the tens digit of l(w)?
5
Let g(t) = -35 + 15 + 120*t**2 + 17 + 18*t**2. What is the hundreds digit of g(2)?
5
Let y = -316 - 142. Let p = y + 1454. What is the hundreds digit of p?
9
Suppose 14*s - 39020 = 78841 + 9721. What is the thousands digit of s?
9
Let v be (-1 + 2)*(-232)/(-29). What is the hundreds digit of ((-19056)/(-42) - v) + (-4)/(-14)?
4
Suppose 45*k = 35*k + 40. Suppose -3*y + 6036 = k*f, -6*y = 5*f - 3*y - 7545. What is the units digit of f?
9
Suppose 0 = 5*v + l - 7, 2*v + 1 = -2*l - 1. What is the units digit of v/(-14) + 29690/70?
4
Let r(v) = 461*v**2 + 45*v - 163. What is the thousands digit of r(4)?
7
Let z(u) = 32*u**2 - 823*u + 230. What is the tens digit of z(50)?
8
Let y(x) = 57*x**3 + 11*x**2 - 34*x + 49. What is the units digit of y(5)?
9
Let m = 1010 + 600. What is the tens digit of m?
1
What is the units digit of -4*10/(-12)*(82468/20 - -25)?
8
Let a be (544/28)/4 - (-2)/14. Suppose -560 = -a*l - 5*i, -6*l = -10*l + 5*i + 430. What is the units digit of l?
0
Let r(t) = -177*t + 120. Let d be r(-10). Suppose -634 = 8*o - d. What is the tens digit of o?
5
Suppose -2*s - 2*z - 774 = 0, -5*z = 5*s - z + 1932. Let u = -328 - s. What is the units digit of u?
6
Let z(q) = 21*q**2 + 7*q**2 + 15*q - 5 - 3 - 8*q**2. What is the units digit of z(6)?
2
Suppose 0 = -4*j + 4*s - 36, 15 + 6 = -4*j - s. Suppose 0 = -12*q - 42 - 18. What is the units digit of (-10 + 2)/(-1 + q/j)?
8
Suppose -3*y + o + 7 = -4, 14 = 4*y - 2*o. Let k be 3/4*-5*y. Let s(d) = -2*d + 27. What is the tens digit of s(k)?
5
Suppose -3*d - 3*c + 21 = 2*c, -15 = -3*d - 3*c. Let l be (-11 + 8)*(1 - d). Let h = 40 + l. What is the units digit of h?
3
Let k = 156 + -152. Let b be (-9)/6 + (-2)/k - 583. Let i = b - -861. What is the units digit of i?
6
What is the ten thousands digit of 10*(22 - (-222696)/40)?
5
Let n = -1023 - -708. Let f = 3 - n. What is the units digit of f?
8
Let l(b) = 17*b**2 - 1124*b + 254. What is the thousands digit of l(76)?
3
Suppose 0 = 4*m - 2*i - 10, 4*m = -5*i + 37 + 8. Suppose -m*j - 2*g = -1076, -3*g - 666 = -5*j + 420. Let n = 367 - j. What is the units digit of n?
1
Let p = 2548 + 939. What is the thousands digit of p?
3
Let y be (2*(-6)/36)/((-3)/189). Let h = y - -337. What is the hundreds digit of h?
3
Suppose 18*j + 23*j = 50*j - 257004. What is the units digit of j?
6
Let z be 212/6 + 12/18. Let w be z/45 + 302/10. Suppose 163 - w = 4*b. What is the tens digit of b?
3
Let t be (-7 - (-6 - 3)) + (-1 - -41). Suppose 4*b - 74 - t = -3*z, 0 = 2*z + 3*b - 78. What is the units digit of (-1 - 3)*102/z*-3?
4
Let o(r) = -79*r**2 + 11*r + 10. Let f(m) = -41*m**2 + 6*m + 5. Let w(j) = -13*f(j) + 6*o(j). What is the units digit of w(3)?
0
Let v(w) = 488*w + 76. Let l be v(7). Let y = l - 1478. What is the thousands digit of y?
2
Let b be 0 - (99/15 - (-10)/25). Let h(z) = -25*z - 23. Let m be h(b). Suppose -4*a - 17 = -5*n + 141, -a - m = -5*n. What is the tens digit of n?
3
Suppose -5*y + 5*g = 0, 4*y + 6 - 24 = -5*g. Suppose -2*v + 484 + 20 = y*w, -w = -4*v - 257. What is the hundreds digit of w?
2
Suppose -v + 4 = 0, -3*l = -3*v - 2*v + 14. Let w be 6/(-5)*((-15)/l)/3. What is the tens digit of (-33)/(-9)*(w + 0)?
1
Let y(q) = -q**3 + 19*q**2 + 2*q - 19. Let n be y(16). Suppose 8*d - 3013 = -n. Let z = d + -182. What is the tens digit of z?
9
Let h(g) = -g**3 + 12*g**2 + 7*g + 12. Let k be h(9). Suppose 2*w + o + 229 = 5*w, -5*o + k = 4*w. Suppose w = 5*b - 208. What is the tens digit of b?
5
Let l be (-8)/52 - (-1264)/104. Suppose -1
|
{
"pile_set_name": "DM Mathematics"
}
|
biggest value? (a) -2/9 (b) q (c) 1/6 (d) 1
a
Let z = 0.15 + 5.85. Let g = 1 + 6. Let c = z - g. What is the second biggest value in -0.5, -9, c?
c
Let g = -0.05 - -0.15. Let o = g - -3.9. Let p = -44/135 - 2/27. Which is the third biggest value? (a) o (b) p (c) 2/11
b
Let g be ((-62)/2046)/(((-50)/(-12))/5). What is the third smallest value in -4, g, 4/5?
4/5
Let k = -0.3 - -1.8. Let r = -0.16 + -1.44. Let m = r + k. Which is the biggest value? (a) -2/5 (b) m (c) -3
b
Let v = -1043 - -1044. Which is the fourth smallest value? (a) -0.3 (b) v (c) -3 (d) -4
b
Let m = -4 - -4.3. Let j = -87 + 88. Which is the third biggest value? (a) 1/6 (b) m (c) j
a
Let x = -7120 + 28641/4. Let g = 2085/52 - x. Let j be 3/(-60)*-4*2. What is the third smallest value in g, j, -5?
j
Let z = 3.6 - 0.6. Suppose 2*k + 66 = 5*f, -f + 3*k = 3*f - 57. Let s be 40/f*(3 + 27/(-5)). What is the third smallest value in -0.2, z, s?
z
Let h = -13/33 - -877/132. Which is the third biggest value? (a) -1 (b) 3 (c) 1/6 (d) h
c
Let y be (-1*(-6)/(-10))/((-17)/85). Let f be (-1)/4 + 10/8. Which is the smallest value? (a) y (b) f (c) -1
c
Let i be (15/(-40))/(15/(-20) + 3). Which is the fourth smallest value? (a) 4/5 (b) -1/5 (c) -4/3 (d) i
a
Let d be ((-80)/60)/((-20)/(-3) + -2). What is the second biggest value in -3, 0.2, 4, d?
0.2
Let s = 32 - 34.1. Let m = 1.7 + s. Suppose 0*b + 15 = 5*b. What is the smallest value in m, b, 1?
m
Let a = 45947/45 - 1021. Let h = 1/15 + a. What is the second smallest value in -3, -2, h?
-2
Let j = -572 + 571.9. What is the fourth smallest value in j, -1/4, 5, -7?
5
Let q = 326 - 325.976. What is the smallest value in q, 1/2, -1?
-1
Let c = 0.558 - 0.006. Let p = c + -0.112. What is the biggest value in -0.5, p, 0.2?
p
Let x = 53 - 83. Let u = x + 34. Let y = -2082/2615 - 2/523. What is the smallest value in y, u, 1/4?
y
Let y be (-2)/8 + 22/(-8). Let m be (-7 + 16)/(-18)*8. What is the third smallest value in 0.7, y, m?
0.7
Let v = -79151/45 + 1759. Let z = v + 29/180. Let g = -17/76 - 1/38. Which is the biggest value? (a) z (b) 0.2 (c) g
a
Let i = 4.56 + -3.8. Let q = i - 0.26. Let u = 2 - -1. Which is the third smallest value? (a) u (b) 1/7 (c) q
a
Let o = 16.95 - -0.05. Let m = -31 + o. Let h = m + 14.2. Which is the second smallest value? (a) h (b) 1 (c) -4
a
Suppose 9*d = 5*d + 20. Let r = 32 - 35.2. Let i = r + 3. Which is the smallest value? (a) i (b) d (c) 2
a
Let i = 8843/3 - 2989. Let n = i + 41. What is the third smallest value in 2, 0.2, n, -1/4?
0.2
Let i = 741.3 - 741. What is the smallest value in 0.6, i, -14?
-14
Let l = 21.9 - 29.1. What is the second biggest value in l, 1/3, -3/4?
-3/4
Let y = 8 - 4. Let i = -5098/5 + 1020. Which is the biggest value? (a) i (b) 0.3 (c) y
c
Let i = 88.4 - 93. Let f = -4.7 - i. Which is the third smallest value? (a) -24 (b) -0.4 (c) f
c
Let k = 0.3 + -2.3. Let p = -299.2 + 299. Which is the second biggest value? (a) -7 (b) p (c) k (d) 3
b
Let s = -39.4 - -35.4. Which is the smallest value? (a) -3 (b) s (c) -39 (d) 0.4
c
Let n be 6*2/(-84) - 5/14. Let t = 2 + -2.2. Which is the third smallest value? (a) t (b) n (c) 0.5
c
Let o be -4*2*15/24. Let f be 2/o*(-50)/12. Which is the third biggest value? (a) 5 (b) -1 (c) f
b
Let h = -92.07 + 93. Let q = h + 1.07. What is the second biggest value in q, -2, 2/13, -0.1?
2/13
Let h = 57 + -50. Suppose 0*y - 35 = h*y. Which is the second biggest value? (a) y (b) 5 (c) -4 (d) 2
d
Let f be 4/(-120)*4621*-5104. Let j = f - 785858. Let t = 328 - j. What is the second smallest value in t, -6, 0.1?
t
Let l = -683 + 687. Let n = 3 + -2. What is the third smallest value in l, 0.1, n?
l
Let d = 5 + -5.3. Let u = 0.2 + d. Let a be (4 + 5 - (-2403)/(-270))*(-6 + 2). What is the biggest value in u, 2/7, a?
2/7
Let r = 73.06 + -0.06. Let s = 74 - r. Which is the second smallest value? (a) -4 (b) s (c) 0.07
c
Let r = -196 - -196.5. Which is the third smallest value? (a) r (b) 1 (c) -1/5 (d) -23
a
Let d be (-6)/(-8) + 6446/(-1320) - -4. Let a = 3.5 + -4. Let h = a + 0. What is the second smallest value in -0.4, h, d?
-0.4
Let y(n) be the first derivative of n**2/2 - 3*n - 1. Let u be y(5). Let o = -7 + 6. Which is the smallest value? (a) o (b) -0.3 (c) u
a
Suppose a = -6*a - 294. Let v = a + 49. What is the third smallest value in -2/11, 2/3, v?
v
Let p = 0.233 - 2.613. Let o = p + -0.62. Let j = 1 + 1. What is the biggest value in j, o, -1?
j
Let o be (-4)/(-6)*18/15. Let y = -2.5 - -3. Which is the third biggest value? (a) y (b) 3/4 (c) o
a
Let l be 3 - (-4 + (-36)/(-8))*4. What is the second smallest value in -44, 0.2, l?
0.2
Let q = 1.9431 - -0.0569. Let j = 0.6 + -0.9. What is the third biggest value in j, -4, q, 1/4?
j
Suppose 0 = 4*u + p - 20, 20 = 5*u - u - p. What is the smallest value in 2, 0.11, u, 2/13?
0.11
Let t be (-12)/(1 + 3) + 59. Let q(m) = -57*m + t*m - 1 - 1. Let k be q(-2). What is the second smallest value in k, 1/3, -5?
k
Let f = 53 + -52. Which is the third smallest value? (a) -0.1 (b) -1 (c) -0.2 (d) f
a
Let r(y) = -y**2 + 5*y + 2. Let b be r(5). Let i = -8.31 - -8.91. What is the second smallest value in i, b, 2/3?
2/3
Suppose 4*d = 4*y + 4, 2*y + 4 = -5*d - 26. Let u = -160.7 + 161. Which is the second biggest value? (a) d (b) u (c) 1
b
Suppose -10*f + 40 = -5*f. Let z be (8/(-18))/(f/12). Let s = -8 + 6. Which is the second biggest value? (a) z (b) 2 (c) s
a
Let h = 2614 - 2614.5. What is the biggest value in h, 3, 7?
7
Let z = -2460 - -597778/243. Which is the smallest value? (a) 1 (b) -0.5 (c) 0 (d) z
b
Let f = 233.95 + 2.05. Let u = f + -233. Let s = 2 - 1.7. What is the second biggest value in s, -3/17, u?
s
Suppose -54 = 2*u - 108. Let r be 8/(-126) + 0 + (-6)/u. What is the third biggest value in -5, 1/4, r, -3?
-3
Suppose -3*v - 100 = -6*v + y, -5*v - 2*y + 163 = 0. Let p = v + -30. Which is the third smallest value? (a) p (b) -1/2 (c) 0.3
a
Let x = 7406.909 + -7398. Let z = -0.091 - x. Which is the second biggest value? (a) 0.1 (b) z (c) 0.4
a
Suppose 5*o + 8 = -3*r, 2*o = -5*r - 8 + 20. Suppose 122 = -r*z - 58. Let m be 10/z - (-56)/90. Which is the third biggest value? (a) -1 (b) m (c) -1/5
a
Let y = -2044/5 - -409. Which is the second smallest value? (a) 4 (b) y (c) -1 (d) 3/5
b
Let j = 83 + -82.41. Let k = 0.79 - j. What is the second biggest value in 1/6, -5, -4, k?
1/6
Let i = -2278 - -2281. Which is the third biggest value? (a) i (b) 11 (c) 2/11 (d) 0.4
d
Let l = -0.7 + 0.2. Let z = 0.25 + 0.05. Let j = -450 + 449.6. What is the biggest value in z, j, l?
z
Suppose -2*g = 2*g - 20. Let h be ((-4)/10)/((-8)/g). Suppose f + 4*c = -0*c + 12, -4*f = -2*c - 30. What is the second smallest value in -1, f, h?
h
Let g = -5.6 - 0.9. Let c = -6 - g. Let b = -78 - -78. What is the smallest value in c, 0.02, b?
b
Let r = 1256 + -1256. What is the third biggest value in 5, -1/5, r, 17?
r
Let d = 291 + -170. Let k = 124 - d. Let v = 11 - 7. Which is the third smallest value? (a) k (b) v (c) -2/5
b
Let c = -102.2 + 102. Let o = 3.7 + -4. What is the smallest value in c, -2, o?
-2
Let y be (-4)/(-6)*30/4. Suppose -7 = -2*r + y. Let q be 3/((-5)/(15/r)). What is the third biggest value in q, -3, -4?
-4
Let t = -91.4 + 91. Which is the smallest value? (a) t (b) -0.61 (c) -2/3
c
Let o = 3213 + -3212. Let v = -27 + 44. Let k = -17.9 + v. Which is the smallest value? (a) k (b) 4 (c) o
a
Let u be (0/2 - 2) + 0. Let d be -1 + u + 25/7. Let k = 7 + -2. What is the third biggest value in k, -4/5, d?
-4/5
Let l = 1335 - 20027/15. Let h = 0.3 - 7.3. Which is the second smallest value? (a) h (b) 5 (c) l
c
Let o = -20.2 + 15.2. Which is the third biggest value? (a) 3 (b) -3 (c) o
c
Let o be -2 - (15/(-6))/((-5)/(-20)). Let r be (-6)/24 + ((-30)/o - 0). What is the second smallest value in r, -1, -0.5, -0.14?
-1
Let l = -225.3 - -225. What is the third smallest value in l, -8/7, -0.5?
l
Let s = 613 + -636. Let z be -1*(2 - 1)*0. Which is the smallest value? (a) -0.4 (b) s (c) z
b
Let h = -4 - -65. Let o = h - 56. Which is the third smallest value? (a) o (b) 0.5 (c) -3/17
a
Let s = -22.4 + 22.9. Which is the smallest value? (a) -
|
{
"pile_set_name": "DM Mathematics"
}
|
8*l**4 - 39209 wrt l?
146232*l**3
Find the second derivative of -478391*b**2*t**2 + 13*b*t**2 + 114*b*t - 5*b - 2 wrt b.
-956782*t**2
Find the first derivative of -7785*u - 645574 wrt u.
-7785
Differentiate 7*d**3 + 654*d**2 - 3*d + 354328.
21*d**2 + 1308*d - 3
What is the second derivative of 1348983*y**2 - 669483*y wrt y?
2697966
Find the third derivative of -76*j*m**3*n + j*m**2*n - 2*j*m*n - 3*j - m**3*n - 935*m**3 - 33*m**2*n + 173*m wrt m.
-456*j*n - 6*n - 5610
What is the second derivative of -97*k**2*q**3*u**2 - 2*k**2*q**2*u - k*q**3*u + 870*k*q**2*u - 523*q**3*u**2 wrt u?
-194*k**2*q**3 - 1046*q**3
What is the first derivative of 2103493*n + 1667664?
2103493
What is the second derivative of -369*z**5 - 52*z**4 + 47733*z?
-7380*z**3 - 624*z**2
Find the third derivative of 638147*h**4 - 65691*h**2 - 3*h wrt h.
15315528*h
Find the third derivative of -g**6 + 4211*g**5 + 2*g**3 + g**2 - 183*g - 11 wrt g.
-120*g**3 + 252660*g**2 + 12
What is the third derivative of 26353*u**3 - 24679*u**2?
158118
Differentiate 2*i**2*r**2*u - 926610*i**2*r - 2*i*r**2 - r**2*u + r*u - 47485*u wrt u.
2*i**2*r**2 - r**2 + r - 47485
What is the derivative of -58266*j*n - 6077*j + 5*n**4 + 49 wrt n?
-58266*j + 20*n**3
Find the second derivative of 38721*n**4 - 2*n**3 - 14775*n - 1.
464652*n**2 - 12*n
What is the third derivative of 78071*s**3*z**2 - 4*s**2 + 46735*s*z**2 wrt s?
468426*z**2
Find the second derivative of 3*m**3*z**2 - 158*m**3*z - 1821*m*z**2 + 63*m*z wrt z.
6*m**3 - 3642*m
Find the second derivative of 7928*a**5 - 25*a**4 + a - 277100.
158560*a**3 - 300*a**2
Find the third derivative of -1215*s**3*w**3 - 401*s**3*w**2 - s**3 + 6*s**2*w**2 - 13*s*w**4 - 2*s*w**3 + s wrt w.
-7290*s**3 - 312*s*w - 12*s
Find the second derivative of 9*o**2*y**2 + 1151*o**2*y - 4*o**2 - 4*o*y**2 + 10*o - 3*y**2 + 2*y - 55 wrt o.
18*y**2 + 2302*y - 8
Find the third derivative of 1200605*t**3*u**2 - 3*t**2*u**2 + 2*t**2 + 32*t*u - 156*u**2 wrt t.
7203630*u**2
What is the third derivative of 10*h*n**3 - 2*h*n**2 - 3*h*n - 15903*h - 6459*n**4 + 2*n**2 wrt n?
60*h - 155016*n
Find the third derivative of -4*i**2*u*w**3 + 3*i**2*u + 340*i*u*w**3 - 4016*i*u*w**2 + u*w**2 - 12*w**4 - 4 wrt w.
-24*i**2*u + 2040*i*u - 288*w
Differentiate 1668071*b**2 + 592122 wrt b.
3336142*b
Find the second derivative of -1911*g*s**2*w + g*s**2 - 7432*g*s*w + g*s - s**2*w - 2*s*w - 2*w wrt s.
-3822*g*w + 2*g - 2*w
Find the second derivative of -5607*k**5 - 4*k**2 - 1651*k.
-112140*k**3 - 8
What is the first derivative of -5000*n**3 + 5*n + 901846 wrt n?
-15000*n**2 + 5
Find the third derivative of a*h**3*q - a*h**3 - 3654*a*h**2 - 19799*h**3*q + 2*h**3 + 102*h*q wrt h.
6*a*q - 6*a - 118794*q + 12
What is the second derivative of -4*n**4*p**3 - 1336*n**4 - 43421*n*p**3 + 2 wrt n?
-48*n**2*p**3 - 16032*n**2
What is the second derivative of 5*f*x**2 + 393*f*x - 3*f - 9692*x**4 - 2*x**3 - 3*x - 2 wrt x?
10*f - 116304*x**2 - 12*x
Find the third derivative of -12*b**2*p**3 + 26*b**2*p**2 + 17*b**2*p - 2*b*p**4 - 491*p**3 - 15*p wrt p.
-72*b**2 - 48*b*p - 2946
Find the second derivative of -24*i**2*j**2 - 36*i**2*j*k*y + 2*i**2*k - i**2*y - 399*j**2*k*y + j*y + k*y + 3 wrt j.
-48*i**2 - 798*k*y
What is the second derivative of -151966*q**5 - 69880*q wrt q?
-3039320*q**3
What is the second derivative of -2111865*h**3 - 597636*h?
-12671190*h
Find the second derivative of 127*z**3 - 7239*z**2 - 5557488*z wrt z.
762*z - 14478
What is the second derivative of 527106*l**3 - 619128*l?
3162636*l
Differentiate 234739*r*s**2 + 171*s**2 - 11 with respect to r.
234739*s**2
Find the first derivative of -15588*y**3 - 55012.
-46764*y**2
What is the second derivative of 58*f**5 + 2*f**4 - 97*f**3 + 106625*f?
1160*f**3 + 24*f**2 - 582*f
What is the second derivative of -841*i**4 + 5*i**3 - 3*i**2 + 30*i - 328 wrt i?
-10092*i**2 + 30*i - 6
What is the third derivative of -313*n**5 + 241*n**4 + n**2 + 48972*n + 1 wrt n?
-18780*n**2 + 5784*n
What is the second derivative of -5*o**5 + 81*o**4 + 435*o**3 + 486481*o wrt o?
-100*o**3 + 972*o**2 + 2610*o
Differentiate -87311*p**3 - 188666 wrt p.
-261933*p**2
What is the third derivative of -4100*n**5 - 2992*n**2 + 3*n - 3 wrt n?
-246000*n**2
Find the third derivative of 38272*u*w**3*y**3 - 2*u*w**3 + 5*u*w**2 + w**3*y + 463*w**2*y + y**3 wrt w.
229632*u*y**3 - 12*u + 6*y
Differentiate -g*h*u - g*h + g*u - 1713*h*u - h - 7420*u wrt h.
-g*u - g - 1713*u - 1
Differentiate 48*g**3 - 215*g + 23506 with respect to g.
144*g**2 - 215
Find the third derivative of -3*v**6 + 242*v**5 + 3*v**3 + 382*v**2 + 48 wrt v.
-360*v**3 + 14520*v**2 + 18
What is the second derivative of 25*w**4 - w**3 - 134*w**2 - 214*w + 357 wrt w?
300*w**2 - 6*w - 268
What is the third derivative of -1369*c**3*k**3*l**3 - 10*c**3*k*l**2 - 5*c**3*k*l - 79*c**2*k**3*l**2 - 3*c*k - 2*k**2*l**2 + 4*k*l**3 - 25*l**3 wrt l?
-8214*c**3*k**3 + 24*k - 150
Find the second derivative of -1449529*t**2 + 54768*t wrt t.
-2899058
What is the derivative of 3*a**4 + 3357*a + 10024?
12*a**3 + 3357
Find the first derivative of 2*a*i**4 - 695*a*i**2 - 5*a*i*t**3 - 2*a*t**3 + 2*a*t - 9911 wrt i.
8*a*i**3 - 1390*a*i - 5*a*t**3
Find the second derivative of -c**3*x + 1177*c**2*x + 2*c*x - 9*c + 2*x + 3 wrt c.
-6*c*x + 2354*x
What is the second derivative of -1753*c**2*w**2 - 411*c**2 - 59*c*w**2 + 2*c*w + 7*c - 3*w + 15 wrt c?
-3506*w**2 - 822
What is the second derivative of -29761*d**4 + 41931*d wrt d?
-357132*d**2
Differentiate -5380*c**3*w*z**3 - 2*c**3*w - 1013*c**3 + 4*c**2*z**3 with respect to w.
-5380*c**3*z**3 - 2*c**3
Find the second derivative of 5012*t**3 - 8*t**2 + 559159*t wrt t.
30072*t - 16
What is the second derivative of 8*g**4 - 10802*g**3 + 6*g**2 + 3959*g - 26 wrt g?
96*g**2 - 64812*g + 12
What is the second derivative of -o**2*r**3 - 115*o**2*r + 25799*o*r**3 + 15*o + 1 wrt r?
-6*o**2*r + 154794*o*r
Find the second derivative of 5*j**5 + 2449*j**3 + 39*j - 380 wrt j.
100*j**3 + 14694*j
What is the third derivative of 683*z**5 - 65*z**3 + 674133*z**2 wrt z?
40980*z**2 - 390
What is the second derivative of -3*p**4 - 7572*p**3 - 5*p - 1635 wrt p?
-36*p**2 - 45432*p
Find the second derivative of 22043*u**2 - 29666*u.
44086
What is the second derivative of -95918*k*q**2 - 88678*k*q wrt q?
-191836*k
Find the third derivative of 4*q**5 + 81283*q**4 - 2*q**3 - 1120831*q**2.
240*q**2 + 1950792*q - 12
What is the third derivative of 1609*g**2*h**3 + 2*g**2*h**2 + 255*g**2*h - g**2 + 20*g*h**3 - 135*g - 6*h**3 wrt h?
9654*g**2 + 120*g - 36
What is the second derivative of 3*m**3 + 20648*m**2 + 8*m + 2542 wrt m?
18*m + 41296
Find the second derivative of -22*y**4 + y**3 + 182*y**2 - 1335*y - 3 wrt y.
-264*y**2 + 6*y + 364
Find the second derivative of 14*r**2*w**2 - 180*r**2*w*x + r**2 - 4722*r*w**2*x + r*w*x - 4*r*x + 3*r + w**2 wrt w.
28*r**2 - 9444*r*x + 2
Find the second derivative of -28094*k**2 - 13*k + 535.
-56188
Differentiate -2*i**2 + 7627*i - 162184 wrt i.
-4*i + 7627
What is the second derivative of -2291521*l**3*u**2 + 3*l**3 + 311401*l**2*u wrt u?
-4583042*l**3
What is the second derivative of -26243*b**2 + 28090*b - 2 wrt b?
-52486
What is the second derivative of -105*a**3*x**3 + 1664*a**3*x**2 + 57*a**3*x + 11*a**2*x + 62*a*x wrt x?
-630*a**3*x + 3328*a**3
Differentiate -10*a*b**2 + 2*a*b - 230112*a - 652*b**2 wrt b.
-20*a*b + 2*a - 1304*b
What is the first derivative of -575*d**2*l + 135*d*l + 4*l - 2085 wrt d?
-1150*d*l + 135*l
Differentiate -149696*m**3 + 446932.
-449088*m**2
What is the third derivative of 7*m**5 - 18060*m**3 + 126*m**2 + 2*m - 79?
420*m**2 - 108360
Find the second derivative of 88866*z**2 + 51419*z wrt z.
177732
What is the third derivative of 944272*d**6 - 2*d**5 - d**2 + 400683*d wrt d?
113312640*d**3 - 120*d**2
What is the first derivative of 28998*v**4 - 16*v**3 + 2505339 wrt v?
115992*v**3 - 48*v**2
Find the second derivative of -324366*d**5*g**2 + 2*d*g**2 - d*g - 35073*d - g**2 wrt d.
-6487320*d**3*g**2
What is the third derivative of -2*c*d**6 - 4*c*d**2 + 4*c*d + d**6 + 2922*d**3 - 4*d**2 + 2*d wrt d?
-240*c*d**3 + 120*d**3 + 17532
What is the third derivative of -338428*i**3 - 280330*i**2 - i wrt i?
-2030568
Find the first derivative of -3*j**2 - 10397*j*r + 2*r - 5848
|
{
"pile_set_name": "DM Mathematics"
}
|
= 2*t, -4*t + m = 15 for t.
-4
Solve 53*q - 56*q = -2*u + 22, -3*q + 3 = 3*u for u.
5
Solve -a = 14*u - 15*u, -5*a + 2*u = -12 for a.
4
Solve 2*i = 4*r - 8*r - 4, 0 = 4*i + 3*r - 7 for i.
4
Solve 25 = -5*c, -3*i - 23*c = -28*c - 16 for i.
-3
Solve -o + 8 = 3*g, -6*g + 4*g = -4 for o.
2
Solve n + 0*n + 2*y = 0, -y - 22 = -5*n for n.
4
Solve 20 = 5*h - 2*v - 0*v, 0 = -3*h + 4*v + 26 for h.
2
Solve -2*c + 6*c + 4 = p, -2*p - 4*c + 8 = 0 for p.
4
Solve -5*o - m = 20, 2*o + 10 = m - 5 for o.
-5
Solve 0 = -2*i - 8, 8*l - 3*l + 2*i + 33 = 0 for l.
-5
Solve -11*x - 40 = -3*x, 3*x + 35 = -4*p for p.
-5
Solve 0 = -5*w + 3*p + 19, 2*w - w + 19 = -7*p for w.
2
Solve 5*f = -u + 5, -4*f + 2 = -6 for u.
-5
Solve 4*o = 2*x + 20, 3*x + 19 - 5 = 2*o for o.
4
Solve -2*z + 6 = -2*n, 0*n - n = 3*z - 9 for n.
0
Solve 3*y + 5 - 20 = 0, 2*y - 15 = 5*f for f.
-1
Solve -3*t - 7 = v, 3*v = -6*t + 11*t - 7 for v.
-4
Solve 4*f - a + 2 = -3, -5*a = -5*f - 10 for f.
-1
Solve -s + 3*i = 14, 3*s = i - 3 - 15 for s.
-5
Solve c + 4*v - 4 = 12, 0 = -c + 5*v - 20 for c.
0
Solve 0 = -5*f + 4*j - 15 - 16, 4*j - 16 = 0 for f.
-3
Solve -5*u - 10 = 0, 0*y - 2*y + 4*u = -8 for y.
0
Solve -2*p + 2*z + 14 = 0, -308*z + 304*z = 16 for p.
3
Solve -5*x = -6*p + 7*p + 7, x - 5*p = -17 for x.
-2
Solve 3*v + 0 = c + 1, -5*c - 22 = 2*v for c.
-4
Solve 5*r + 5*p - 40 = 0, -5*r + 7*r = -p + 12 for r.
4
Solve 0 = 22*g - 27*g - 2*m - 8, -4*m = 4*g + 16 for g.
0
Solve 61*t - 62*t = 5*m + 4, 5*m - t = 4 for m.
0
Solve -w = 2*q + 3, 12 = -4*q + 130*w - 134*w for q.
0
Solve -5 = -5*v + 3*l, 5*l + 31 = 5*v + 36 for v.
4
Solve r - 4*c + 17 = 0, 7*r - 5*c = 3*r - 35 for r.
-5
Solve 25 = -4*v - 6*q + 5*q, 0 = v - 3*q - 10 for v.
-5
Solve -5*z - 2*f = -9 + 1, -3*z - 8 = -2*f for z.
0
Solve 25*x - 18*x + 1 = -5*o, 4*x + 3*o = 0 for x.
-3
Solve 0 = -5*r + 4*q + 3, -3*r - 7*q = -3*q + 11 for r.
-1
Solve -3*y = -2*k + 13, 2*y + 8 = 4*k - 3*k for k.
2
Solve -8*z = -10*z - d - 11, 4*d = -3*z - 29 for z.
-3
Solve -u = -3*r - 1, 0 = 5*r + 3 + 7 for u.
-5
Solve 0 = -2*d - 3*s + 1, -d - 7 + 6 = 3*s for d.
2
Solve -4*q - 3*x - 3 = 0, 5*q - 28*x = -29*x - 12 for q.
-3
Solve i + 3*i = -2*t - 10, 2*t + 5*i = -11 for t.
-3
Solve -3*p + 0 = -3, 3*u + 4*p - 1 = 0 for u.
-1
Solve 2*d - 4*k = 6 - 26, 3*d - 3*k + 21 = 0 for d.
-4
Solve -5*c - 5*r = 30, -2*c + r = c + 14 for c.
-5
Solve 3*m = l - 18, -m - 2*l - l = -4 for m.
-5
Solve 21*b - 1 = 20*b, 3*b - 1 = u for u.
2
Solve 10*k - 9*k + 2 = g, -5*k = 5*g + 20 for k.
-3
Solve 0 = 2*c, 0 = -y + 20*c - 23*c - 3 for y.
-3
Solve 0 = -2*z - 2*n + 18, 3*z = -5*n + 28 + 9 for z.
4
Solve c = -3*u - 10, 0 = 21*c - 25*c - u + 4 for c.
2
Solve -4 = 3*k + k, 4*i = -5*k - 17 for i.
-3
Solve 4*m + 19 = 10*o - 11*o, 5*o = 4*m + 1 for m.
-4
Solve -2*j + 9 = k, -3*k = -j - 13 - 0 for j.
2
Solve 0 - 1 = -4*u + 3*m, 2*u - 2*m = 0 for u.
1
Solve -2*i - 4 = 2*o, 4*i + 12 = -i - 4*o for i.
-4
Solve -5*p + 4*p + 20 = -5*y, 5*p - y + 20 = 0 for p.
-5
Solve 29 = -5*j - 4*n - 11, -10 = 2*n for j.
-4
Solve -151 + 139 = -2*n, -5*u - 3*n + 8 = 0 for u.
-2
Solve 0 = 5*g, -13 = 2*n + 5*g - 7 for n.
-3
Solve -4*l + 2*p + 6 = 0, -6 = 2*l - 0*l + 2*p for l.
0
Solve 5*n = 4*m + 10*n + 18, 5*n - 10 = 0 for m.
-7
Solve o = x, 20 = 5*o - 5*x + 4*x for o.
5
Solve 0 = 3*z + 6, 0 = 2*m - 11*z + 10*z + 8 for m.
-5
Solve -1 = 5*g - 2*w, 0 = 4*g - 3*w - w - 4 for g.
-1
Solve -l + 12 = 4*m, 2*m = 6*l - 2*l + 24 for m.
4
Solve 5*n = 5*i - 0*i - 10, 3*i - 4*n = 3 for i.
5
Solve -4*r - 2 = q, -13*q = -9*q + 8 for r.
0
Solve -1 - 18 = -3*j + 4*r, 3*r + 11 = -j for j.
1
Solve -119*z - 2*k + 12 = -123*z, 4*z - k + 16 = 0 for z.
-5
Solve -4*z + 16 = -n, -2*z - 15*n + 8 = -20*n for z.
4
Solve -2 = 2*d - m, -3*d + 36 = 2*m + 3*m for d.
2
Solve -3*s - 15 = -5*r, -4*r + 7*r + 2*s = -10 for r.
0
Solve 4*k = -2*n + 12, 5*n + 0*n = 4*k - 26 for k.
4
Solve -32 = 5*n + 3*o, -5*o = 3*n + 58 - 26 for n.
-4
Solve -26*u - 3*l - 20 = -22*u, 3*u - 3*l = -15 for u.
-5
Solve -9 = 3*n - j, -2*j = -4*n - j - 11 for n.
-2
Solve 2*m = -1 - 1, -n + 3 = -2*m for n.
1
Solve 0 = -3*t + 3*b, 4*t - 7 = 2*t - 5*b for t.
1
Solve -4*w - 2*v = v + 18, -4*v = -w + 5 for w.
-3
Solve 3*i - 15 = -2*f, 0 = -5*i - f + 3*f + 25 for i.
5
Solve 5*k - j = -28, -2*k - j = -4*k - 13 for k.
-5
Solve -3*h = k, 0*k + 3*k = -5*h - 4 for k.
-3
Solve -6*i = -10*i - 2*p + 4, 4*i = 3*p + 34 for i.
4
Solve -5*u + 2*o - 4*o = 10, 4*u + 4*o + 8 = 0 for u.
-2
Solve 2*y + 19 = 13, 0 = -4*q + y - 17 for q.
-5
Solve -4*q = -4*m + 8, -m + 2*q = -4*m + 1 for m.
1
Solve 5*l - 5*a - 5 = 0, 3*l = 122*a - 117*a + 1 for l.
2
Solve 3*z + 32 = -4*w, 14*z - 9*z + 3*w + 35 = 0 for z.
-4
Solve -3*b - 7 = -4*t, -7*b - 2 = -9*b - 4*t for b.
-1
Solve 5*a + d + d = 28, 0 = -2*a - d + 12 for a.
4
Solve -4*m + 5*x - 6 = 7*x, 4*x = -4*m - 8 for m.
-1
Solve 14 = -4*g + 3*q - 8*q, 4*g = -3*q - 10 for g.
-1
Solve m + 3*c + 4 = 1, 0 = -m - c - 3 for m.
-3
Solve -30*l + 15 = -j - 35*l, 12 = -3*l for j.
5
Solve 0 = o - 3*z + 7, 480*z - 485*z = -2*o - 9 for o.
8
Solve -8*s + 5 = 2*o - 7*s, -4*o + 35 = -3*s for o.
5
Solve r = 3*z - 10, -3*z = -25*r + 28*r - 6 for r.
-1
Solve -4*v - 5*c = -27, v + 5*c = 16 + 2 for v.
3
Solve -2*z + 6 = 0, 5*y + z + 3 = 3*y for y.
-3
Solve -f - f + 14 = -2*u, f = 2*u + 11 for u.
-4
Solve 0 = 3*f - 3, 5*w + 40 = -f + 56 for w.
3
Solve 0 = 5*t - 2*p - 5, 6*t - 5 = t - 4*p for t.
1
Solve 2 = g - 0*g + 2*a, g - 3*a = -13 for g.
-4
Solve 3*m + 20 = 22*p - 27*p, 0 = 2*m for p.
-4
Solve -2*y = -l - 2, 5*y = 4*l + 21 - 10 for l.
-4
Solve -12 = -4*g - 2*f, 0 = -4*g - 0*g - f + 10 for g.
2
Solve 2*p = 4*z - 14, -219*z + 220*z - 5 = 2*p for z.
3
Solve u = -2*m - 1, -28*u - 4 = -27*u + 3*m for u.
5
Solve 3 = 3*p - 3*l, -4*l = -3*p + 22 - 16 for p.
-2
Solve -4*c - 4*n - 2 = -3*n, -c = 2*n + 4 for c.
0
Solve 3*q = -3*l + 6, -15*q + 3*l - 6 = -11*q for q.
0
Solve -2*v - 6 = 4, 0 = g - 5*v - 27 for g.
2
Solve 3*o - 8 = -3*i - i, -4*o - 4*i + 8 = 0 for o.
0
Solve 2*g - 20 = -32*s + 30*s, 4*s + 5*g = 45 for s.
5
Solve 4*g = -3*v + 4, 5*g - 5 = v - 3*v for g.
1
Solve a - 35*h = -31*h - 18, -a + 3*h = 14 for a.
-2
Solve 0*d + 5*y - 11 = d, -27 = -3*d - 5*y for d.
4
Solve 6*u = 3*g + 3*u - 15, g + 4*u = -15 for g.
1
Solve 0*w + 8 = -w + 2*u, 8 = 2*w + 4*u for w.
-2
Solve 2*v + 3*v + 5*t = 5, -4*t = 3*v for v.
4
Solve 7 + 2 = 3*u + 3*f, -3*u = 5*f - 5 for u.
5
Solve -4*y + 2*v + 3 + 1 = 0, 0 = -4*y + v + 4 for y.
1
Solve 0 - 5 = o + 2*p, -16 = 4*o + 4*p for o.
-3
Solve 0 = 2*q + 2*q + 16, 5*l = -5*q - 45 for l.
-5
Solve 17*c = -2*z + 16*c + 14, 2*z + 2*c - 18 = 0 for z.
5
Solve 0 = -2*n - 3*t + 8, -227*t = -2*n - 229*t + 4 for n.
-2
Solve 3 = 3*n + 3*j, 0 = -2*n - 5*j + 8 - 9 for n.
2
Solve 2*i = n + 4*n - 10, 4*n = 8 for i.
0
Solve 0 = v - h, 0 = -3*v + v - 2*h - 8 for v.
-2
Solve -5*p = 5*u - 4 - 21, u - 5*p + 19 = 0 for u.
1
Solve -3*a + 9*d = 4*d - 8, -a - 2 = 3*d for a.
1
Solve -2*y - 4*n + 10 = 0, -2*y + 0*y = n - 4 for y.
1
Solve n + i = -0*n + 2, -2*n - 26 = -4*i for n.
-3
Solve -17*d = -13*d + 5*t + 11, -3*d = 4*t + 9 for d.
1
Solve 0 = -2*v - 13 + 5, 4*p - 3*v - 28 = 0 for p.
4
Solve 0*l - 2*l = 5*y, 3*y = 6 for l.
-5
Solve 0 = -g - 2*c - 13, -2*c = 2*g + 6 + 10 for g.
-3
Solve 3*x - 4 = 5*j, -2*j = -5*x - 9 + 3 for x.
-2
Solve x - 11 = -5*t, 19*x - t + 7 = 24*x for x.
1
Solve 2*r + 0*l = l + 2, 2*r = -4*l + 2 for r.
1
Solve t + 3*a = 10, -a = -0*a - 4 for t.
-2
Solve 2*a + 2*a = 4*z + 28, 5*z - 3*a + 25 = 0 for z.
-2
Solve 0 = -11*d + 13*d + 2*n - 12, 3*d - 2*n + 7 = 0 for d.
1
Solve w - 25 = p - 22, w = -2*p - 12 for p.
-5
Solve 0 = 4*i - 3*w + 17, w + 21 = 54*i - 58*i for i.
-5
Solve 14 = 3*w + 5*g, 4*w - 3*g = 2*g - 28 for w.
-2
Solve 0*c - k = 2*c - 8, -5*c - 4*k = -26 for c.
2
Solve 0 = -5*g - 26*q + 30*q + 21, -3*g + 4*q = -19 for g.
1
Solve 0 = 2*n + 2*l - 4, 24 = -5*l + 19 for n.
3
Solve -5*k - 33 = 4*m - 14, -11 = 5*k - 4*m for k.
-3
Solve -3*z = -1167*r + 1163*r - 19, 5*z - r = 26 for z.
5
Solve 2*j - 4*g = -0*j, 3*g = -5*j + 13 for j.
2
Solve 3*s = -5*t - 8 + 31, 0 = -2*s + 3*t - 10 for s.
1
Solve 2*d = 5*m - 2 + 20, 5*m + 2 = -2*d for d.
4
Solve 2*o - 4*d - 18 = 0, -2*o - 2*d + 0*d = 0 for o.
3
Solve 2*c = 0, 2*g = 7*g - 4*c + 20 for g.
-4
Solve -5*x + 5*p + 5 = 0, 14*x -
|
{
"pile_set_name": "DM Mathematics"
}
|
s?
q
Let w = -0.12 - -0.05. Let n = w + -0.33. What is the second biggest value in 1, -1, n?
n
Let m = -36 - -34. Which is the third biggest value? (a) 0.4 (b) m (c) 2
b
Let m = 61 - 108. Let n = -48.96 - m. Let i = -0.04 + n. Which is the smallest value? (a) i (b) -2/17 (c) 0.1
a
Let f(r) = -r**2 + r - 2. Let u be f(0). Let g = 308 - 313. Which is the second biggest value? (a) 4 (b) u (c) g
b
Let w = -0.507 - -0.107. What is the smallest value in -5/4, 1, w, 3/7?
-5/4
Let o(m) = -m**3 + m**2 + 2*m - 2. Let u be o(2). Let h be 1 + 2 + 0 + u. Let v = 9 - 13. What is the biggest value in -1/6, v, h?
h
Let n = 0.5 + 14.5. Let o = n + -10. Which is the biggest value? (a) -5 (b) o (c) 7
c
Let q be ((-285)/(-18))/(-5) + 3. Let t = -16 + 15.7. Which is the smallest value? (a) t (b) 0.4 (c) q
a
Let k = 31.05 - 31. Which is the third biggest value? (a) -0.5 (b) k (c) 0.3
a
Suppose -27*s + 8 = -31*s. Which is the third smallest value? (a) -11 (b) s (c) 2
c
Suppose 1 - 6 = -5*p. Let s be (-4)/3*(-2)/(-4). Let y = 0 - 0. Which is the smallest value? (a) y (b) p (c) s
c
Suppose 2*j - 10 = -3*j. Let f = -42 - -39. Which is the smallest value? (a) -5/2 (b) j (c) f
c
Suppose -4 = -3*v + 5. Suppose -v*m + m + 8 = 0. Let i be 0/2 + 2 - m. Which is the smallest value? (a) 2/5 (b) i (c) 2/3
b
Let h = -61 + 56. Which is the biggest value? (a) 1 (b) -0.2 (c) h
a
Let q = 87 + -83. Which is the smallest value? (a) -1 (b) -4 (c) -0.1 (d) q
b
Let r be -2 - (48/20 - (-2 - -6)). Let x = 0.9 + 3.1. Which is the third smallest value? (a) 1 (b) r (c) x
c
Let v = 6 + -5. Let k be (-2)/10*(-3 + v). What is the third smallest value in k, -1/3, 1/6?
k
Let r = -34.4 + 34. What is the second smallest value in 1, r, 4, -4?
r
Let d = -4.4 + 0.4. Let r(j) = -j**2 + 8*j - 2. Let o be r(7). Suppose -2 - 3 = -o*u. Which is the second smallest value? (a) 2/5 (b) d (c) u
a
Let d = 12.9 + -12.9. What is the second smallest value in -0.01, d, -1?
-0.01
Let k = 0.13 + -5.13. Let g be 0/(0 + 2 + -3). Which is the smallest value? (a) g (b) -1 (c) k
c
Let p = 346 + -1726/5. Let f be 0 + (1 - 0) + -2. Let j be ((-5)/1 - 0)/f. What is the second smallest value in -4, j, p?
p
Let x be -3 - (-2 + (-2)/(-6)*-1). Which is the biggest value? (a) -2 (b) x (c) 2
c
Let v = 15 - 15. Let h = 18 - 8. Let k = h + -5. Which is the smallest value? (a) -3 (b) v (c) k
a
Let k = -147.07 - -152. Let m = k + 0.07. Let q = 5.3 - m. Which is the third biggest value? (a) 1 (b) q (c) -4
c
Let c = -5 + 1. What is the third smallest value in 2/7, 5, c?
5
Let z = 0.84 + -0.04. Let r = z - 0.5. Which is the smallest value? (a) 3/7 (b) r (c) -3
c
Suppose -9 = 3*c, 0 = 2*n - 2*c + 4 - 18. What is the smallest value in 1, 26, 4/3, n?
1
Let j(m) = -m**2 - 4*m - 5. Let v be j(-4). Let u = -9 - -9.4. Which is the third smallest value? (a) u (b) v (c) 4
c
Suppose 5*d - 2*w = 43, -5*w = -3*d + 4*d + 13. Let l be d/5 - (4 - 2). Which is the second biggest value? (a) 0.3 (b) l (c) 5
a
Let k = 133 + -63. Let o = k - 206/3. What is the second smallest value in o, 0, 2/5?
2/5
Let i be (0 - 4/(-20)) + 0. Let f = -6 + 4. Which is the third smallest value? (a) i (b) -4 (c) f
a
Suppose 0*x + 15 = 5*x - w, x - 9 = -w. Suppose x*g - i = 2*i - 9, -3*i = 2*g + 9. Which is the biggest value? (a) -4/5 (b) 2 (c) g
b
Suppose 3*r = y - 2, 4*r + y + 5 = 14. Let d = -78 - -80.06. Let f = d + -0.06. What is the second biggest value in f, -0.3, r?
r
Let z = 0.26 - -0.04. Let n(i) = i**3 - 5*i**2 - 7*i + 4. Let m be n(6). What is the third biggest value in -0.2, z, m?
m
Let t be (7/(-70))/(4/(-50)). Which is the smallest value? (a) t (b) 0.4 (c) 4 (d) -0.4
d
Let z = 0.105 - 21.505. Let t = z + 21. What is the second biggest value in t, 1, -5?
t
Let d = -2 - -1.8. Let s = -10 - -4. Let f be ((-3)/(9/s))/(-15). What is the biggest value in -1/8, d, f?
-1/8
Let r = -0.13 - 0.27. Let d = -16/21 + 3/7. Which is the third smallest value? (a) r (b) 2/9 (c) d
b
Let h = 29 + -33. What is the smallest value in 2, 0.1, h?
h
Let p = 7 - 9. What is the third smallest value in p, 3, 0?
3
Let s = 149 + -59. Suppose 0 = -f - 3*f - 12, -n + s = -2*f. Let t be (-15)/n - (-1)/(-4). What is the second smallest value in -4, t, -5?
-4
Let s = -2269/28675 - 1/1147. What is the third biggest value in 0.2, -0.4, s?
-0.4
Let j = 7 - 12. Which is the smallest value? (a) j (b) 0.1 (c) 3
a
Let m(p) = -2*p + 4. Let u be m(-4). Let o be (1/(-7))/(u/(-14)). Which is the third smallest value? (a) o (b) 1/2 (c) -2
b
Let c = 16/17 - 114/85. What is the smallest value in -4/3, c, 2, 3/5?
-4/3
Let z = 53/2 + -25. Let v = 1 + -2. Which is the second smallest value? (a) v (b) 0.5 (c) z
b
Let j(s) = s + 1. Let y be j(-1). Let r be y/(-6*2/(-4)). Which is the third biggest value? (a) -0.3 (b) -3 (c) r
b
Let d = -2 - -2.1. What is the second biggest value in 1, d, -3?
d
Let s = -163.4 + 163. What is the biggest value in s, -0.1, -2/93?
-2/93
Let u = 0.08 - 3.08. Let w = -3.54 - -0.34. Let r = w - u. Which is the third biggest value? (a) r (b) -2/3 (c) 0.2
b
Let w = 7.5 + -8. Let f be ((-9)/(-12))/((-2)/8). Which is the second biggest value? (a) w (b) 1 (c) f
a
Let d = -209 + 208.5. Suppose -4*g - 3 = 2*c + 27, -5*c = 25. What is the third smallest value in d, -1, g?
d
Let v = -28 - -28.31. Let f = -0.09 - v. What is the second smallest value in -0.3, -1, f?
f
Let z = 4 + -4.06. Let k = z + 0.06. What is the third smallest value in k, 0.4, -2/7?
0.4
Let y = -0.948 - 0.052. What is the smallest value in 2, y, 5?
y
Let y = -0.15 - -0.15. Let k = -0.4 + 0.7. What is the third biggest value in y, -0.3, k?
-0.3
Let m = -8.5 - -8.2. What is the third biggest value in 4, m, -1?
-1
Let z = 11.92 - 12. Let w = z - 0.22. What is the third smallest value in 1, -1/7, w?
1
Suppose -k - 11 = -5*o + 10, -o - 1 = 5*k. Let j(v) = 6*v**2 + 5 - 1 - v**3 + 5*v + 5. Let w be j(7). Which is the second smallest value? (a) w (b) o (c) 0.1
c
Let w = 3 + 0. Suppose -7 = -3*n + x + 6, 4*n = 3*x + 24. Suppose j = n*j + 4. What is the biggest value in w, j, 1/6?
w
Let s = 2.6 - 3.1. What is the second smallest value in -2/3, 3/4, s?
s
Let d = -80618 - -11689663/145. Let r = -1/29 - d. Let t = -0.07 + -0.03. What is the biggest value in r, -3/5, t?
t
Let b = -2.8 + 3. Let z = 13/6 + -11/6. What is the third biggest value in b, -2, z?
-2
Let r = 0 + 0. Let p(f) = 5*f - 18. Let b be p(4). What is the biggest value in b, -2, r?
b
Let d = -110 - -548/5. Let z = -1 - 1. Let s be -1 + 2 - (-1)/z. Which is the biggest value? (a) s (b) 0.2 (c) d
a
Let u = -3.91 - -0.91. What is the third biggest value in -1, -2/21, u, -4?
u
Let q = 0.04 - -1.96. Let f = -2.2 - -2.5. Which is the third biggest value? (a) -0.5 (b) f (c) q
a
Let k(s) = s**2 + 5*s - 8. Let c be k(-6). Let m(g) = g + 2. Let z be m(c). What is the third biggest value in -2, -0.3, z?
-2
Let x = -0.1 + -0.4. Suppose 3*h - 41 = 1. Let q = -59/4 + h. What is the third smallest value in -2, q, x?
x
Let u be 1 + -3 + 28/12. Let r be 3/(-4)*(-1 - -5). Which is the second biggest value? (a) -5 (b) u (c) r
c
Let f = -0.068 + 0.268. Which is the third smallest value? (a) f (b) -19 (c) -2/9
a
Let k = 1179/11 + -107. Which is the third smallest value? (a) 1 (b) -2/15 (c) k
a
Let k = 3 + -3.2. Let x = k - -0.4. Let d be (3*(-1)/7)/1. What is the third biggest value in x, d, 1?
d
Let i = 2742 + -63055/23. Let z = 262/115 - i. Let g = z + -17/15. Which is the second smallest value? (a) 5 (b) g (c) -0.2
b
Let p = 0.4 - 0.49. What is the biggest value in -0.3, -0.1, p?
p
Let a = 0.026 - 3.726. Let k = 4 + a. What is the biggest value in -2/15, 0, k?
k
Let y = 0.14 + -0.64. Let n(f) = f**2 + 5*f - 10. Let q be n(-7). Which is the biggest value? (a) q (b) 0.5 (c) y
a
Let d = 9 + -7. Suppose 7*x - 2*x = 55. Let n = x - 43/4. What is the third smallest value in n, -0.4, d?
d
Let q = -30.2 + 26. Let o = q - 0.8. Which is the smallest value? (a) -0.3 (b) -2/5 (c) o
c
Let u = 1.4 - -0.6. Which is the second biggest value? (a) 0.2 (b) u (c) -1
a
Let q = 18 + -18.2. What is the second smallest value in 0.2, -5, 0.4, q?
q
Let f(s) = -s**3 + 8*s**2 + 10*s + 3. Let v be
|
{
"pile_set_name": "DM Mathematics"
}
|
et b(s) = -2*s**3 + 2*s**2 + s + 1. Let l be b(k). Calculate x(l).
-7
Let h(x) = x - 4. Let m(g) = -2*g + 7. Let p(j) = -7*h(j) - 4*m(j). Give p(-6).
-6
Let b(f) = -5*f**2 + f - 5. Let r(c) = -3*c**2 - 3. Let v(d) = 4*b(d) - 7*r(d). Calculate v(-3).
-2
Let d = -6 - -8. Let j(s) = -4*s**d + 2 - 1 + s - s. What is j(1)?
-3
Suppose 0 = -3*y - 2*w, -4*y + 1 - 24 = -5*w. Let v(m) = -3*m - m + 1 + 8*m - 2*m. What is v(y)?
-3
Let u(g) = g**3 - g - 4. Let c be (1/3)/(1/9). Suppose 0 = -d + c*d. What is u(d)?
-4
Let g(c) = -2 + 2*c - 1 - 3*c - 4. Let r = 13 - 19. Give g(r).
-1
Let j be 1*(-1)/((-1 - 3) + 3). Let k(b) = 11*b + 1. What is k(j)?
12
Let z be (6/(-8))/((-27)/6). Let c(l) be the second derivative of -l - 1/12*l**4 + 0 + z*l**3 + 2*l**2. Give c(-3).
-8
Let k be 2 + -6 + (-1 - -3). Let c(o) = -2*o - 3. Let i(h) = -2*h - 4. Let s(t) = 3*c(t) - 2*i(t). Calculate s(k).
3
Let i(r) = 0*r + r - 304 - 3*r + 307 + r**2. Give i(3).
6
Let q(n) be the third derivative of -n**6/360 + n**5/24 - n**4/24 + 2*n**3/3 - 3*n**2. Let r(o) be the first derivative of q(o). Calculate r(5).
-1
Suppose 8 = -11*l + 13*l. Let h(t) = -t**2 + 3*t - 6. Calculate h(l).
-10
Suppose -2*n = 2*n - 108. Let q(v) = -4*v**2 + 6*v + 3*v**2 + n - 30. Give q(4).
5
Let h = 12 + -11. Let p(r) = -14*r**3 + 2*r**2 - 1. Calculate p(h).
-13
Let m(b) = -b**2 + 7*b - 7. Let x be -4*(-2 + (-15)/(-20)). Calculate m(x).
3
Let j(c) = c**3 + c - 3. Suppose -2*s = 3*s. Calculate j(s).
-3
Let g be 2/8 + 34/(-8). Suppose -5*h = -5*u + 20, -3*u + 0*u - 2*h + 17 = 0. Let y(b) = -3*b - u*b**2 + b**3 + 0*b**2 + 5 - 2*b**3. Give y(g).
1
Let c(x) = -2*x + 3. Let k(d) = d. Let i(m) = 4*m - 9. Let l(z) = i(z) - 3*k(z). Let n be l(11). Calculate c(n).
-1
Let b(d) = -d**3 + 11*d**2 - 10*d - 5. Let i(k) = k**2 + 3*k. Let g be i(-5). Let q be b(g). Let s(f) = -f**2 - 5*f - 1. Give s(q).
-1
Let u(o) be the first derivative of o**4/4 + 4*o**3/3 - 3*o**2 - 3*o + 1. Let i(y) = y**3 - 4*y**2 + y - 4. Let h be i(3). Let n = 5 + h. Give u(n).
2
Let v be 15*((-36)/(-15))/2. Suppose 0 = 3*j + 3 - v. Let i(w) = -1 + 4*w + 2*w - j*w + w**2. Give i(1).
1
Let m(l) = -5 + 3*l + 8 + 5*l + 7 + l**2. Give m(-7).
3
Let f(l) = -l - 6*l**2 - 2*l**2 - 2 - 5*l + 9*l**2. Calculate f(6).
-2
Let r(q) = -1 + 2*q - 3*q - 5. Let b(g) = g**3 + g**2 + 3*g + 4. Let o be b(-2). What is r(o)?
0
Let y(q) = 2*q + 2*q + 5 + 7*q. Let r(l) = -34*l - 21. Let z(f) = 51*f + 31. Let c(d) = -7*r(d) - 5*z(d). Let t(p) = -5*c(p) - 8*y(p). Calculate t(1).
-3
Suppose 0 = 92*q - 91*q. Let x(r) be the second derivative of r**3/6 + 5*r**2/2 - 2*r. Calculate x(q).
5
Let x be ((-9)/5)/(2/((-40)/6)). Let u(j) = -j**3 + 5*j**2 + 5*j + 8. Calculate u(x).
2
Suppose -v - 25 = -5*x - 8, -5*v = 5*x - 35. Let p(s) = -s + 1. Determine p(x).
-3
Let m(p) be the first derivative of -p**4/4 - 7*p**3/3 - 3*p**2 - 2*p - 1. Suppose -4*v + 6 = 30. What is m(v)?
-2
Let k(m) be the first derivative of -1/4*m**4 + 1/3*m**3 - m + 0*m**2 - 7. Give k(-2).
11
Let b be (14/(-8))/((-2)/8). Let u = b - 3. Suppose u*q = 5*q. Let o(p) = -p**3 + p**2 - 5. Give o(q).
-5
Let g(v) be the third derivative of 5*v**4/12 + v**3/2 + 3*v**2 - 7*v. Determine g(3).
33
Let x = 170 + -181. Let r(l) = l**3 + 12*l**2 + 11*l + 2. What is r(x)?
2
Let a(j) = j**3 - 5*j**2 + 3*j + 2. Let w be 12/54 - (-34)/9. Give a(w).
-2
Let x(g) be the first derivative of -g**4/4 + g**3/3 + 8. Calculate x(0).
0
Let q(h) = 3*h + 3. Let i be (-3)/6*-6 - 1. Let k(v) = -2*v**3 + 3*v**2 - 1. Let g be k(2). Let a = g + i. What is q(a)?
-6
Let l(h) = h + 3. Let s(g) = -g - 3. Let y(m) = -6*l(m) - 5*s(m). Determine y(-6).
3
Let s(f) = -f. Let c be s(-1). Let z(a) = 1 + c - 1 + a. Let b(t) = -t**2 - t + 1. Let p be b(-2). What is z(p)?
0
Let r be (-1)/(-2)*-2 - -1. Let b(o) = -1 + 5*o - 1 - 2 + r. Give b(3).
11
Let s be (-3 - -2) + -3 - 1. Let p be 4/2*(-2 - -3). Let n(t) = 0 + t**3 - t**3 - t**3 - 6*t**p - 5*t - 4. Give n(s).
-4
Suppose 3*t = 5*t - 6. Let n(s) = 7*s**2 + 2*s - 6. Let y(m) = 6*m**2 + m - 5. Let j(r) = 5*n(r) - 6*y(r). Calculate j(t).
3
Let c(n) = -n**3 - 3*n**2 + 3*n + 6. Let u(w) = -3*w + 38. Let t be u(14). Determine c(t).
10
Suppose -3*b = -b + 10. Let o = 8 + b. Let c(x) = x**2 - 5*x + 2. Give c(o).
-4
Let k(w) = 0 - 6*w**2 - 5*w - 5 - w - w**3 - w. Calculate k(-4).
-9
Let v(n) = n**2 + 7*n + 5. Let x = -166 - -162. What is v(x)?
-7
Let k = -10 + 10. Let p(j) = -6*j + 6*j + 9 - 8 - j**3. Calculate p(k).
1
Suppose 16*r + 5 = 15*r. Let b(i) = -2*i + 1. What is b(r)?
11
Suppose 12 = h + 3*h. Let r(t) = -t**3 + t**2 - t + 1. Let y(d) = d**3 + 2*d**2 - d - 5. Let g(l) = 2*r(l) + y(l). Determine g(h).
-3
Let c(z) be the first derivative of 7/2*z**2 - 7*z + 5/3*z**3 - 1/4*z**4 - 2. What is c(6)?
-1
Let p(j) = -2*j**2 - 3*j - 3. Let y(d) = d**2. Suppose 0*r = r + a - 3, 0 = -r - 3*a + 11. Let b(s) = r*p(s) - y(s). Give b(-3).
3
Let i(m) = -m + 2. Let s(l) = -3*l + 5. Let q(u) = 8*i(u) - 3*s(u). Let f(n) = -n**3 + 6*n**2 - 7*n + 6. Let c be f(4). Suppose -4*a - c = 2. Determine q(a).
-2
Suppose -3*y + 4*o = 1 - 12, 0 = 3*o + 15. Let u(c) = c**3 + 4*c**2 + 3*c + 4. Give u(y).
4
Let k(c) = -2*c + 6. Suppose -i + 20 = -5*i. Calculate k(i).
16
Let v(o) = -2*o - 2 + o**3 - 5 + o**2 + 6. What is v(-3)?
-13
Let s = 8 - 8. Let v(t) = -2*t**2 + 1 + 0*t + 1 + s*t + 2*t. Calculate v(3).
-10
Suppose 5*a = -47 - 3. Let x = 12 + a. Let r(m) = -m**3 + 2*m**2 - 2*m - 1. What is r(x)?
-5
Let k(x) = -x**2 + 5*x + 7. Let l be (4 + -2)*-1 + 16. Let g be 9/6*l/3. Give k(g).
-7
Let k = 32 - 7. Suppose 0*x = -5*x - k. Let a(g) = -2*g - 7. Give a(x).
3
Let m(j) = j**3 - 4*j**2 + 2. Let b = -2 - -17. Suppose 16*h - 11*h = b. Calculate m(h).
-7
Let p(l) = -3*l + 1. Let d(m) = -5*m**3 - m**2 + 1. Let b be d(-1). Determine p(b).
-14
Let q(r) = -r**3 - 7*r**2 + 8*r + 2. Let k be q(-8). Let p be -2 + -1*k + 2. Let c be ((-5)/p)/(1/2). Let a(y) = y**3 - 5*y**2 + y - 1. What is a(c)?
4
Let n(p) = 2*p - 3. Let g(y) = y + 1. Let z(i) = 3*g(i) - n(i). What is z(-11)?
-5
Let d(r) = 5*r**2 + 4*r - 2. Let x(a) = 11*a**2 + 8*a - 4. Let i(m) = -13*d(m) + 6*x(m). Calculate i(5).
7
Let m(q) = -13*q + 1. Let l(p) = 7*p - 1. Let z(o) = -11*l(o) - 6*m(o). Let t(w) = w + 10. Let b(c) = -3*t(c) + 5*z(c). Let i = -6 - -11. Determine b(i).
5
Let n(f) = 9 - 3 + 26*f - 23*f. Determine n(-6).
-12
Suppose 2*p + 0*p - 2 = 0. Suppose 5 = 3*u - p. Suppose b = u*b. Let i(r) = r**2 + r + 7. Give i(b).
7
Let n(g) = -5*g - 7. Let f(i) = 28*i + 42. Let b(l) = 6*f(l) + 34*n(l). Determine b(11).
-8
Suppose 4*y + d - 44 = 0, 2*y + 5*d - 55 = -3*y. Let a(g) = 10*g**2 - g - y*g**2 + 3 + 3*g. Let n be 0 - 0 - (-1 - 3). Give a(n).
-5
Let p = -16 - -9. Let q(l) = l**3 + 8*l**2 + 9*l + 1. Determine q(p).
-13
Suppose 0 = -2*m - 3*t + 4, 0*m + 12 = -2*m + t. Let z(x) = -x**3 - x**2 + x + 1. Let n(l) = -2*l**3 - 4*l**2 + 4*l + 7. Let q(v) = n(v) - z(v). What is q(m)?
10
Let m(c) be the second derivative of c**3/6 + 2*c**2 - c. Determine m(3).
7
Suppose 0 = -5*h + 4*o - 19 - 11, -3*h = -2*o + 18. Let g(a) be the first derivative of a**2/2 + 8*a + 14. What is g(h)?
2
Suppose -4*n = -0*n - 4. Let k be n - (-5 + (-1 - -3)). Let t(r) = -r**3 + 3*r**2 + 4*r + 4. Give t(k).
4
Suppose 4*p + p = 5*t - 10, 4*p + t - 17 = 0. Let z(d) = d**3 - 2*d**2 - 4*d + 1. Calculate z(p).
-2
Let m(n) = -n**3 + 8*n**2 - 8*n + 7. Let r = -4 - -11. What is m(r)?
0
Let g(d) be the first derivative of d**4/12 - 3*d**3/2 + 7*d**2/2 + 4*d - 2. Let h(u) be the first derivative of g(u). Determine h(6).
-11
Let q(p) = 4*p + 2. Let g(h) = -h - 1. Let b(d) = -5*g(d) - q(d). Determine b(-3).
0
Let s be 12/(-1)*(-5)/15. Suppose s*h = 4*c - 16, -3*c + 6 = -4*h - 8. Let t(q) = 5*q - 1. What is t(h)?
-11
Suppose 4*z - 3 = -3*f, 3*z + 5 + 9 = f. Suppose n = 0, -4*q + 3*n = -0*q. Let c(o) = -5*o - o**2 + 0*o**2 + q*o**2 - 2. What is c(z)?
4
Let j(f) be the first derivative of 1 - 1/3*f**3 + 2*f**2 + 0*f. Give j(4).
0
Suppose 3 + 6 = -3*b. Let r = 3 - b. Let j(o) = -o**2 - o - 3*o - r + 0*o. Determine j(-4).
-6
Let u(h) = 3*h**3 - 3*h**2 + 2*h - 2. Let q(c) = 10*c**3 - 10*c**2 + 6*c - 6. Let d(j) = -2*q(j) + 7*u(j). Give d(2).
6
Let q(x) = 3*x**2 + x + 2. Let h be q(-1). Let k(d) = -d**3 + 3*d**2 + 4*d + 2. Give k(h).
2
Suppose 0
|
{
"pile_set_name": "DM Mathematics"
}
|
(-15)/(-24)*48/36?
5
What is (-38)/(-114)*3/(-4)?
-1/4
What is the value of (-1)/(-2)*(-99)/(-66)?
3/4
What is the value of ((-21)/14)/((-6)/4)*3?
3
What is ((-140)/(-42))/(-10)*(-3)/7?
1/7
Evaluate 2*2*2/4*-2.
-4
Calculate 130/312*-6*2/(-1).
5
(-2*8/96)/(2/20)
-5/3
Calculate (-1*1)/((-6)/(-4)).
-2/3
What is the value of -4*10/(-760)*2?
2/19
(-18)/(-90)*10/4*-10
-5
Evaluate (-2)/1*(-9)/(-6).
-3
Calculate 2/((-10)/15*-3).
1
Calculate (28/4)/(-84)*(-4)/1.
1/3
What is -2*(-5)/((-50)/(-15))?
3
((-72)/60)/(((-84)/(-40))/7)
-4
8*(11/(-6))/(-11)
4/3
Evaluate (20/(-24))/((-25)/20).
2/3
What is the value of ((-4)/10)/(-10*13/(-1950))?
-6
What is the value of (6/(-28))/(10/((-1600)/30))?
8/7
Calculate (-4)/(16/(-4))*8.
8
Calculate (-10)/(-5)*5/(-10).
-1
8/(96/(-252))*1/3
-7
Calculate ((-8)/(64/12))/(36/(-16)).
2/3
What is ((-15)/3)/((-25)/30)?
6
Calculate (4/(-6))/(8/(-6)).
1/2
Evaluate (-110)/99*3/(-5).
2/3
Calculate (((-16)/(-3))/(-8))/((-2)/(-3)).
-1
Evaluate (-240)/(-180)*(-18)/44.
-6/11
Calculate (8/(-36))/((-8)/6).
1/6
((-2)/(-28))/(4*4/(-96))
-3/7
((-24)/(-20))/((-15)/100)
-8
((-1)/3)/(2668/696)
-2/23
Calculate 9/(126/35)*16/100.
2/5
What is 2/((-189)/(-105)*60/9)?
1/6
Evaluate (-4)/(-5)*(14/8)/7.
1/5
What is (-3*4/(-18))/(2/(-12))?
-4
What is (11/(-66))/((-7)/7)?
1/6
-2*(-75)/25*9/6
9
What is -12*(25/5)/(-15)?
4
What is (2/15)/(6/(-9))?
-1/5
What is the value of 1/(((-14)/(-6))/(-7))?
-3
(15/(-5))/(33*1)
-1/11
Evaluate ((-9)/(-10))/(-2*9/(-15)).
3/4
9/1*5/75*1
3/5
(-8*16/1536)/(9/24)
-2/9
Calculate 1/(-5)*57/19*1.
-3/5
What is (-6*(-9)/27)/(2*2)?
1/2
(10/6)/((-10)/(-30))
5
(-6*2/8)/((-36)/(-12))
-1/2
Evaluate (-6)/(-25)*3/((-99)/(-55)).
2/5
Evaluate (-3)/2*-7*2/(-35).
-3/5
Evaluate 3*(10/6)/5*-3.
-3
Evaluate -10*5/(-20)*2.
5
What is the value of (21/(-98))/(3/(-6))?
3/7
What is (0/3)/(2/1)?
0
What is the value of 1/(3*2/24)?
4
What is (34/(-12))/(-17)*8*-1?
-4/3
Evaluate (((-4)/(-5))/(5/(-25)))/2.
-2
(1/(-38))/(14/(1456/26))
-2/19
What is the value of (-6*10/150)/(-5)?
2/25
What is the value of (52/(-78))/(4/6)?
-1
What is the value of ((170/17)/10)/(2/10)?
5
Evaluate (4/(-5))/((-154)/55).
2/7
Evaluate 4*(5/(-12))/(1/3).
-5
Calculate (-1)/(63/6)*(-3)/1.
2/7
What is the value of 3*6/(-108)*-3?
1/2
Evaluate (-1)/(168/(-16))*3/(-2).
-1/7
Evaluate ((-2)/14)/(30/105).
-1/2
What is the value of 3/15*10/6?
1/3
Calculate (-4)/((-3)/(18/(-12))).
-2
What is 4/3*45/(-2550)*-17?
2/5
((-2)/8*-6)/((-8)/48)
-9
Calculate -2*(-4)/24*-1.
-1/3
What is the value of 4/(-7)*(-168)/(-48)?
-2
Evaluate 8*((-3)/(-10))/(6/10).
4
What is (4/(-10))/(232/290)?
-1/2
Evaluate (4/(-27))/(4/6).
-2/9
Calculate (2/(-2))/9*3510/(-260).
3/2
What is the value of (-14)/4*3/21*-8?
4
Calculate (-36)/4*1*2/6.
-3
(5/45)/(32/36)
1/8
What is the value of 1/2*(-36)/6?
-3
1/4*(-176)/(-66)
2/3
((9/4)/(-9))/1
-1/4
What is the value of (6/16)/(((-108)/(-40))/9)?
5/4
Evaluate 14/(-4)*10/7.
-5
Evaluate ((-15)/(675/(-60)))/((-4)/(-6)).
2
(2/(-4))/(-5*(-42)/240)
-4/7
What is the value of -4*5/560*4?
-1/7
3/(-2)*((-16)/3)/(-4)
-2
Calculate ((-6)/8)/((-5)/(-20)).
-3
11/(44/8)*1/(-3)
-2/3
(288/(-189))/8*3/(-2)
2/7
What is the value of (-4)/(-6*(-3)/(-315)*7)?
10
Calculate ((40/5)/8)/2.
1/2
Calculate 1/(-3)*(-24)/(-100)*-5.
2/5
(1/(-11))/((-1)/(-2))
-2/11
Evaluate (24/(-798))/(4*4/(-56)).
2/19
Calculate ((-4)/((-168)/(-7)))/(2/2).
-1/6
Evaluate (-1)/4*(-16)/3*-3.
-4
What is 60/36*-3*(-24)/(-270)?
-4/9
Calculate (6/14)/((-5)/((-15)/3)).
3/7
(396/(-128))/(-11)*(-40)/(-30)
3/8
What is the value of 8*((-4)/(-2))/(-4)?
-4
What is 1/((-6)/((-180)/(-50)))?
-3/5
What is the value of (2/4)/(7/((-336)/12))?
-2
Calculate ((-1)/3)/((-2)/24).
4
Calculate (6/(-30))/((-5)/(-20)).
-4/5
What is the value of ((-15)/5)/(-3)*0?
0
What is (10*(-2)/(-88))/((-90)/(-216))?
6/11
4720/118*(-1)/(-5)
8
Calculate 3/1*((-1)/(-1))/1.
3
(483/1610)/((-5)/((-50)/(-12)))
-1/4
What is the value of (6/(-32))/((-3)/(-36)*-3)?
3/4
((-3)/8)/((-33)/(-44))*-12
6
Evaluate ((-1)/((-5)/(-15)*-3))/(-1).
-1
((-25)/15)/(5*(-1)/6)
2
What is 9/(-24)*-1*2/3?
1/4
Evaluate (2/(-6))/(((-140)/15)/(-7)).
-1/4
Evaluate (-1)/10*(-5025)/(-402).
-5/4
What is the value of (-1)/9*(-168)/28?
2/3
What is the value of (-5*(-44)/(-165))/(2/6)?
-4
What is the value of (1*0/2)/((-3)/1)?
0
Evaluate ((6/(-1))/18)/(8/(-4)).
1/6
Calculate ((-11)/14)/(-11)*-2.
-1/7
Evaluate ((20/6)/5)/((-8)/6).
-1/2
Calculate ((-30)/(-36))/(6/36).
5
Calculate ((84/(-132))/7)/(2/2).
-1/11
Evaluate (3/4)/(3/(-24)*12).
-1/2
(-60)/10*4/(-12)
2
(87/116)/((-4)/((-160)/6))
5
Calculate ((-7)/28)/(5/5).
-1/4
Calculate (-1)/((3*1)/(63/7)).
-3
Calculate 3/4*12*12/72.
3/2
Evaluate ((-4)/24)/(-5*10/(-75)).
-1/4
What is the value of 154/66*(-4)/(-14)?
2/3
What is (12/(-5))/(76/190)?
-6
What is 152/(-342)*3/(-8)?
1/6
(10/(-10))/((-1)/(-5))
-5
Calculate (36/210)/(6/(-10)).
-2/7
Evaluate 27/12*(-13)/39*-1.
3/4
What is (6/4)/((-7)/(-14))?
3
Evaluate ((-11)/((-33)/(-18)))/((-4)/2).
3
Evaluate (21/6)/7*28/(-14).
-1
What is (-6)/((1/6)/(10/(-90)))?
4
What is (-54)/36*(-2)/1?
3
What is the value of ((0/(-15))/(-14))/(6/(-3))?
0
(-8)/(-12)*(-15)/70
-1/7
((-24)/(-42))/((-10)/(-35))
2
What is the value of (3*10/(-15))/((-4)/(-20))?
-10
Evaluate -3*(6/3)/54*2.
-2/9
Calculate ((-24)/(-8))/(4/2).
3/2
((2/6)/(1/3))/(-9)
-1/9
((-48)/(-240))/(6/(-20))
-2/3
0*(-5)/(-5)*-1
0
(-2)/(2/(-18)*-6)
-3
80/(-4)*(-55)/220
5
What is (-50)/(-50)*((-2)/(-3))/2?
1/3
What is the value of ((-2)/40)/(20/(-150))?
3/8
What is the value of 12/63*98/84?
2/9
What is (-5)/1*36/(-45)?
4
Evaluate (1/5)/(-1*(-8)/(-5)).
-1/8
What is (-7)/5*(-2)/((-30)/(-75))?
7
What is (0/3)/(3/((-12)/(-8)))?
0
Calculate (5/(-2))/((-7)/(-14)).
-5
What is 2/3*(-27)/18?
-1
Evaluate (-5)/(-10)*-2*5.
-5
What is 0/(2/(-5)*(-90)/(-36))?
0
Calculate (-12)/(-24)*-2*1.
-1
Evaluate (-1)/(((-2)/(-8))/(51/51)).
-4
(-12)/(-3)*(-2)/((-4)/1)
2
((-144)/(-36))/(4/4)
4
What is (-42)/(-28)*6/15?
3/5
What is the value of -3*(-1)/3*10/(-15)?
-2/3
What is the value of (-1)/(-1)*15/(-5)?
-3
What is (-260)/(-1365)*(9/(-2))/(-3)?
2/7
What is 8/(-4)*(-2)/(4/(-1))?
-1
1/((6/(-9))/(5/30))
-1/4
What is the value of (-1)/16*(-260)/(-65)?
-1/4
9/(-6)*(-7)/((-42)/(-16))
4
Evaluate (-146)/(-219)*(-3)/17.
-2/17
Calculate 4/(-8)*11/11*-2.
1
Calculate (13/(260/16))/(8/20).
2
Calculate ((-31)/(-93))/((-1)/(3*5)).
-5
(-6*(-4)/32)/(2/(-8))
-3
What is the value of 3*7/21*3?
3
What is the value of 6/(-10)*132/(-396)?
1/5
What is 3*14/21*4/(-144)?
-1/18
What is the value of (-100)/(-20)*(-8)/10?
-4
What is (4/(-22)*1)/((-2926)/1694)?
2/19
Evaluate ((-20)/16)/(11/44).
-5
Evaluate (30/35)/(255/35).
2/17
What is the value of 2*((-11)/2)/1?
-11
2/3*(-27)/(-6)
3
(14/5)/(22/(-935)*-17)
7
(2/(-10)*-2)/(1200/1000)
1/3
Calculate (10/15)/(2/(-1))*-15.
5
Evaluate (5*1)/((-10)/(-10)).
5
Calculate -5*-3*3/15.
3
((-2)/21*-12)/((-44)/154)
-4
What is the value of 80/(-30)*((-81)/12)/(-3)?
-6
Calculate (3/2)/(87/29).
1/2
8*4/24*4/(-8)
-2/3
8/720*9*-8
-4/5
What is (24/6)/1*10/4?
10
What is (30/1)/(-5)*2/(-4)?
3
Evaluate 981/109*1/(-3).
-3
(-7*(-6)/42)/(-5)
-1/5
Evaluate (-1)/((-2)/8*(-60)/15).
-1
(90/(-81))/((-8)/(-12))
-5/3
0/5*7/(-14)
0
2*((-2)/6)/(8/12)
-1
Calculate (19/(-152))/(6/16).
-1/3
What is the value of 5/(2/(-2)*3/3)?
-5
Evaluate (3/(3/(-2)))/(10/(-15)).
3
What is the value of (-23)/(-23)*((-5)/(-3))/(-1)?
-5/3
Calculate (-234)/546*((-2)/(-2))/3.
-1/7
What is the value of (-1)/(-5)*((-14)/(-2))/(-7)?
-1/5
Calculate ((-3)/(-5))/((-54)/(-150))*-3.
-5
6*((-245)/42)/(-7)
5
(-3)/(-1)*2/(-18)
-1/3
What is the value of (-75)/(-60)*(-7)/35?
-1/4
Calculate (2*(-3)/8)/(-3).
1/4
Calculate 1/4*(-144)/(-63).
4/7
What is the value of (6*6/9)/(4/(-2))?
-2
Calculate ((28/(-4))/(-42))/(1/(-2)).
-1/3
What is the value of 15/30*-6*(-3)/(-12)?
-3/4
Calculate ((-3)/(90/6))/(2/2).
-1/5
What is the value of ((5/(-1))/(-30))/(3/(-9))?
-1/2
What is the value of (1/3)/(11/(-165))?
-5
What is the value of ((-6)/(-18))/((-3)/(-216)*4)?
6
What is the value of ((-3)/10)/(210/175)?
-1/4
What is (22/(-55))/(2/(-4))?
4/5
What is the value of (-16)/40*(-10)/2?
2
Calculate -1*(20/(-5))/4*0.
0
1/(-6)*(-171)/(-76)
-3/8
What is the value of 7*-2*6/42?
-2
((-2)/(-14))/(603/(-1407))
-1/3
Calculate (-2)/(-2*-1*(-1)/(-5)).
-5
What is ((-29)/145)/(4/
|
{
"pile_set_name": "DM Mathematics"
}
|
. Solve 3*j - 12 = -t for j.
3
Suppose d + 3*h = -2*d + 21, -h = -2. Let r = 1 + -4. Let l be r/(-6) - 7/(-2). Solve l = -d*b + 14 for b.
2
Suppose 3*s + 2*g + 2 = 0, -2*s + 5 = -g - 3. Solve c + 4 = s*c for c.
4
Suppose 5*p = 4*n + 25, 5*p - 12 - 13 = -n. Let l(b) = 0 + 4 - b - 2*b - p*b - b**2. Let m be l(-8). Solve 2 = x + m for x.
-2
Suppose -3*g = 2*r + 3*r - 9, 0 = -5*r + 15. Let m = 0 - g. Solve 0 = m*w - 2 - 2 for w.
2
Let z be ((-2)/(-2) + -14)*-1. Solve 0 = 4*i - z + 1 for i.
3
Let y = -7 + 12. Suppose -s - 55 = -y*h, 0 = 3*h - s - 12 - 19. Suppose 5*c + 42 = 3*j + 2, -4*j - 3*c = -5. Solve j*z + h = 2 for z.
-2
Let h be 4 + (1 + 0)*-1. Suppose 4 + 2 = h*s. Solve s*v - 4 = v for v.
4
Suppose -1 = -r - 0. Solve 4 = 5*x - r for x.
1
Let r(g) = -g**2 - 8*g + 7. Let q be r(-8). Solve q*y + 15 = 2*y for y.
-3
Let k = 47 - 44. Solve 1 = -k*v + 16 for v.
5
Let m = -21 - -27. Solve 4*q - q = -m for q.
-2
Suppose -7 + 3 = -4*f. Let s(z) = z**3 + 7*z**2 + 7*z + 6. Let q be s(-6). Solve -f + q = w for w.
-1
Let v be (3 + -4)*1*-4. Suppose 0*g = -v*g. Solve 4*p + p - 15 = g for p.
3
Suppose 5*p - 23 = 2. Suppose -r - 3*i + p = -2*i, 0 = -3*r - i + 5. Solve 4 = x - r*x for x.
4
Let w be (-2 - -7) + -1 + 3 + -4. Solve 16 = w*j + j for j.
4
Suppose 2*u + 13 = 3*r, -u + 5*r - 21 - 3 = 0. Let f be (-102)/(-12) - u/(-2). Solve 5*b + f = -11 for b.
-4
Let g(p) be the third derivative of -p**4/24 + 5*p**3/6 + 2*p**2. Let b be g(-4). Suppose -4*s - 24 = -v, 4*v + 4*s = 3*v - 16. Solve b*j = v*j for j.
0
Let z be 3*(-2)/3 + 2. Let u be (-3 - 85/(-30)) + 37/6. Solve z = 4*d - d - u for d.
2
Suppose 0 = -5*i + 3*w + 2*w + 35, -3*i + w + 15 = 0. Suppose 0 = -v - 3*f - i - 3, 2*f = 2*v - 26. Suppose 3*d - v = -d. Solve 3*z = -d*z + 25 for z.
5
Let v(m) = 20*m**3 - 2*m**2 - 2*m. Let p be v(-1). Let l = 20 + p. Solve 0 = -l*o + o + 4 for o.
-4
Let m(a) = -2*a**2 - 7*a. Let y be m(-3). Solve 0 = y*z + 9 + 3 for z.
-4
Let k = -52 + 31. Let r = -46 - -31. Let j = r - k. Solve 0 = 2*b - 0*b - j for b.
3
Let x(g) = 0*g**2 - g + 2*g**2 - 4*g**2 + 7*g**2. Let t be x(1). Solve 2 = i + t for i.
-2
Suppose -1 = -i - 0*i. Solve -m + 0 = -i for m.
1
Suppose -2*p - 2*d + 15 = -3*d, -2*p + 3*d = -21. Solve -3*j + p = -6 for j.
4
Let o = 49 - 45. Solve o*d = -0*d + 4 for d.
1
Suppose 0 = -z + 2*z - 3. Solve 6 = z*v - 6 for v.
4
Suppose -4*o + s = -11, -4*o + 0*s - 7 = 5*s. Suppose -l - o = -6. Suppose 2*f - l = f. Solve 0 = f*z - 16 for z.
4
Let d(z) = 11*z + 2. Let g be d(1). Solve g + 7 = 5*a for a.
4
Let r(q) = -q**3 - 3*q**2 - q - 1. Let i be r(-3). Solve -i - 4 = -2*z for z.
3
Let s = 3 + -2. Let q be 4/(s*-2) + 4. Let i(o) = o + 1. Let k be i(q). Solve y + 8 = k*y for y.
4
Let c = 10 + -23. Let n = c - -18. Solve n*f - 2*f = -6 for f.
-2
Let k(y) = y + 2. Let v be k(2). Suppose v*t = 2*t + 2. Solve j - 3 = -t for j.
2
Let k be 0/(2/(-1*2)). Let x = 34 - 32. Solve k = -0*w - x*w for w.
0
Suppose 0*y - 4 = -2*y. Suppose 2*u - 5*j = -y, 4*u + j = 2 + 16. Solve -24 = u*o - 8 for o.
-4
Suppose 2*c + 2*a = 6*c - 10, -2*c + 3*a = 5. Suppose 42 = c*z + 2. Solve -4*j - z = -0*j for j.
-2
Let o(f) = 8*f. Let m be o(-1). Let g = -6 - m. Solve 4 = -0*h + g*h for h.
2
Suppose -l + 21 = 2*p, 6*p + 5*l = 2*p + 45. Suppose 0 = 3*u + 5*m - p, 5*u - m = 4*u - 2. Solve u = 6*q - q + 10 for q.
-2
Suppose -13*t + 15 = -10*t. Solve -t*r + 3 = -2 for r.
1
Suppose -2 = -2*w + 2. Let f = -3 + 7. Solve -2*x + w = -f for x.
3
Let p be ((-2)/5)/(1/(-5)). Let z be (-7)/((-84)/(-54))*(-2)/3. Let v(f) = 26*f - 1. Let s be v(1). Solve p*u = -z*u - s for u.
-5
Let n(p) = 2*p**2 - p - 2. Let f be n(-2). Suppose 4*d - 3*c - 3 = 0, 7*d - 4*d = 2*c + 2. Solve -4*q + f*q + 8 = d for q.
-2
Suppose 9 + 3 = 3*s - 2*i, s - i = 3. Solve -s*g + 2*g = -12 for g.
3
Let g = 4 + -1. Suppose -4*s = 4*p - 32, -6 = -p - 2*p + g*s. Solve -p*j + 1 - 16 = 0 for j.
-3
Let v = 49 + -37. Solve 5*s - 13 = v for s.
5
Suppose -b + 2 = -0. Suppose -4*r + 18 = -y, -4*r = b*y - 3 - 9. Solve i + r = -0*i for i.
-4
Let v(q) = q**3 - 4*q**2 - 7*q + 4. Let n be v(5). Let g be n/33 + 4/22. Solve w = -g*w + 2 for w.
2
Let n = 10 + -8. Let t be 2 - 2*n/(-4). Solve o + t = -0*o for o.
-3
Let m(c) = c - 5. Let h be m(6). Suppose -j + 63 = 6*t - t, 0 = 3*t + 4*j - 48. Let d = t - 12. Solve 3*n + h + 2 = d for n.
-1
Let r be -4*(60/48 - (1 - -1)). Solve 0 = -2*o + 7 - r for o.
2
Let i = -11 + 15. Solve -w - 12 = -i*w for w.
4
Let y(j) = -j**3 + 11*j**2 - 11*j + 3. Let c(i) = 3*i**3 - 33*i**2 + 33*i - 8. Let b(w) = -2*c(w) - 7*y(w). Let h be b(10). Solve -h*n - 6 = -2*n for n.
-2
Let p(k) be the second derivative of -3*k**3/2 - k. Let l be p(-1). Suppose 6 = 2*x + 3*i, 3*x = -i - 4*i + l. Solve -x = -4*g + 9 for g.
3
Let t(s) = -10*s**3 - 34*s**2 - 7. Let g(k) = 7*k**3 + 23*k**2 + 5. Let o(f) = -7*g(f) - 5*t(f). Let a be o(-9). Suppose -q = -a*q. Solve d + 2 = -q for d.
-2
Let q(h) = h + 5. Let j be q(-7). Let r be (-1 - (4 + j)) + 7. Solve 18 = r*w + 2 for w.
4
Let b = 0 + 1. Let z = -1 + b. Suppose -t = 2*o - 0*o, z = o - t. Solve o*n = 2*n - 10 for n.
5
Let h = -20 - -19. Let t be -2*(-5 - h) + -3. Solve -t*d + 18 = 3 for d.
3
Let z(g) = 2*g**3 - 3*g**2 - 4*g + 1. Let b be z(3). Suppose -3*h = -h - 16. Suppose -5*n - 4*a = -b, -n = -3*a - h + 1. Solve -2 = -i - n for i.
-2
Suppose -20 = -4*z - 0. Solve -z*i - 36 = -11 for i.
-5
Let j = -2 + 6. Let s = -1 + j. Solve 8 = b + s*b for b.
2
Let p be -5*(4/10 - 1). Suppose -t + 8 = -p*x + 2*x, 0 = -5*t - 5*x. Let g be 0 + t + 0/1. Solve 5 = -g*y + 5*y for y.
5
Suppose 0 = -32*w + 36*w - 4. Solve 4*v - 3 = w for v.
1
Let f be (-3)/5 + 1*(-92)/(-20). Solve -f*u = 5 + 11 for u.
-4
Suppose 5*n + 45 = -5*t, -2*n = -n - 4*t + 19. Let r = n - -29. Solve -5*v - 3 = -r for v.
3
Suppose -o - 4*x = -20, -5*o - 2*x + 4*x + 34 = 0. Suppose 6 = -5*l + o*l. Solve 0 = l*g + 3*g for g.
0
Suppose -5 = -2*d + 9. Suppose -4*g = -1 - d. Solve -g = -m - 3 for m.
-1
Let g(c) = c**2 + 5*c + 7. Let s be g(-3). Solve 0 = x + s - 5 for x.
4
Let u be (-32)/6 + (-8)/12. Let x be ((-4)/12)/(2/u). Let y be 2 - x - (-2)/(-2). Solve -2*m - m = y for m.
0
Let f be (-150)/(-20) + (1/(-2) - 0). Solve 13 + f = 4*q for q.
5
Let a be (-4)/(-6) + (-1)/(-3). Suppose -2*v = -5*i + 32, 5*i = v - 1 + 37. Suppose 0 = 2*t + 2 - i. Solve -7 = -t*g - a for g.
2
Let t be 4/(-10) + 112/80. Solve 3*j + t = 4*j for j.
1
Let b(o) = o**3 + 2*o**2 - 3*o - 3. Let h be b(-2). Solve h*w + 0*w + 15 = 0 for w.
-5
Let t(r) = -r**3 + 3*r**2 - r + 1. Let q be t(2). Suppose 2*d + 2*d = 0. Solve d = -3*j + 3 + q for j.
2
Suppose -2*w = -2*v - 0 + 2, 4*v - 24 = -w. Let z = v + -3. Suppose 5*j = -2*a - 9, 3*a + z*a + 4*j - 3 = 0. Solve 6 = a*n - 6 for n.
4
Suppose 5*v + 3*h = 13, -h + 4*h = -3*v + 3. Solve v*s - 2*s = 0 for s.
0
Suppose -2*s + 2*v - 7 = -3, 0 = -2*s + v. Solve 2*i = s + 8 for i.
5
Suppose b = -2 - 9. Let v = 27 + b. Solve 5*o + v + 4 = 0 for o.
-4
Suppose -3 = 4*n + 9, -g = -n - 19. Solve -3*a = a - g for a.
4
Let l be 6/36 - 2/12. Let u be (-1 - l)/1*-12. Solve 3*f - 3 = -u for f.
-3
Let q be (-8)/60 + 152/15. Let d(h) = -3*h - 7. Let k be d(-3). Solve 3*f - q = -k*f for f.
2
Let a = -21 - -24. Let z(i) = i + 2*i - i. Let l be z(a). Solve -l*q + 3 = -3*q for q.
1
Let p(j) = -j**2 - 10*j + 2. Let g be p(-10). Suppose -5*r = 24 - 9. Let d be -4 - r - (1 - 2). Solve 0 = -g*v - d*v - 6 for v.
-3
Suppose 19 = 4*x - 61. Let j(h) = h**2 - 10*h - 18. Let p(y) = 2*y**2 - 10*y - 18. Let m(d) = -3*j(d) + 2*p(d). Let b be m(-8). Solve 6*v = b*v - x for v.
-5
Let x be ((-16)/(-24))/((-2)/(-27)). Solve 2*r - x = -r for r.
3
Suppose -2*d - r - 1 = -3*d, -r = -5*d + 17. Suppose -d*o = -32 - 28. Suppose 7*q - 5*h = 2*q + 15, -5*h + 33 = q. Solve -3*t + o = -q*t for t.
-3
Let y(n) = -3*n - 2. Let u be y(-2). Suppose -m = u*m. Solve m*i = -2*i - 10 for i.
-5
Suppose 0 = -2*x + 125 - 35. Suppose -u - 5*o - 4 = 2*u, 5*u - x = 2*o. Solve -2*s + u*s + 15 = 0 for s.
-3
Let o(p) = 6*p + 6. Let x be o(1). Solve 0 = 3*l - 0*l - x for l.
4
Let b be -5 - -3 - (0 - 17). Solve -2*i - b = i for i.
-5
Let b(l) = -l. Let x be b(-2). Suppose -2*w + 3*v + 2 = 0, x*w + 5*v - 5 = 7*w. Let q = 8 + w. Solve q*p - 2*p = -5 for p.
-5
Let q = -11 + 13. Suppose q*s - 10 = 4*s, 23 =
|
{
"pile_set_name": "DM Mathematics"
}
|
618?
False
Does 23 divide 5916779?
False
Is 212360832 a multiple of 1429?
True
Is 18 a factor of 1068180403?
False
Is 13 a factor of 57667012?
True
Is 80 a factor of 280288560?
True
Does 1510 divide 104897135?
False
Does 223 divide 3011766194?
True
Does 2746 divide 41343776?
True
Is 32 a factor of 4786112?
True
Does 608 divide 12609920?
True
Does 3587 divide 94255599?
True
Is 14 a factor of 67565456?
True
Is 94 a factor of 403915915?
False
Is 39 a factor of 47931?
True
Is 136 a factor of 146743048?
True
Is 148 a factor of 36957442?
False
Is 102200808 a multiple of 2627?
True
Is 133547277 a multiple of 104?
False
Is 817 a factor of 71682763?
True
Does 260 divide 13790293?
False
Is 10 a factor of 22172120?
True
Is 134 a factor of 521180217?
False
Is 474 a factor of 9598500?
True
Is 62 a factor of 57867328?
True
Does 117 divide 66306367?
False
Does 264 divide 2928288?
True
Is 13 a factor of 234647618?
False
Is 118 a factor of 231206258?
False
Is 343 a factor of 47505555?
False
Is 2314040787 a multiple of 713?
True
Is 136258005 a multiple of 3547?
True
Does 2 divide 16220537?
False
Does 14 divide 132584677?
False
Is 326369264 a multiple of 3536?
True
Is 14 a factor of 3402015?
False
Is 6 a factor of 226949226?
True
Does 3 divide 595039573?
False
Is 484378077 a multiple of 124?
False
Is 6995 a factor of 1042823340?
False
Does 276 divide 260388888?
True
Is 1911 a factor of 128367603?
True
Does 234 divide 26904897?
False
Is 2006673 a multiple of 21?
False
Does 580 divide 20292175?
False
Is 1891931462 a multiple of 21?
False
Is 1817831169 a multiple of 104?
False
Is 11 a factor of 159987322?
True
Is 51791157 a multiple of 64?
False
Is 157 a factor of 2196887?
False
Is 2907 a factor of 150646554?
True
Is 4660202544 a multiple of 5739?
False
Is 30 a factor of 12120164?
False
Does 471 divide 225892542?
True
Is 17841722 a multiple of 19?
True
Does 17 divide 44108538?
False
Does 758 divide 2099900286?
True
Does 13 divide 114162688?
False
Does 2096 divide 130725424?
True
Is 46482242 a multiple of 8?
False
Does 2 divide 38340900?
True
Does 80 divide 679818855?
False
Is 45 a factor of 448847460?
True
Is 18682377 a multiple of 4?
False
Does 42 divide 2253857844?
True
Does 37 divide 14116384?
False
Is 127093389 a multiple of 6?
False
Is 1058470745 a multiple of 166?
False
Does 15 divide 21988145?
False
Is 67331901 a multiple of 273?
True
Is 5 a factor of 104510142?
False
Is 4416192 a multiple of 36?
True
Is 957454618 a multiple of 214?
True
Is 34 a factor of 60495523?
False
Is 110 a factor of 1770560?
True
Is 86 a factor of 23979036?
True
Is 674945926 a multiple of 1089?
False
Does 13 divide 442118035?
False
Does 105 divide 92283450?
True
Is 407446 a multiple of 13?
True
Is 51 a factor of 1950526263?
True
Is 791622266 a multiple of 4647?
False
Is 785743772 a multiple of 44?
True
Is 109 a factor of 46251922?
False
Is 1063165045 a multiple of 67?
True
Is 2531 a factor of 1804518343?
False
Does 3004 divide 814855332?
False
Is 113119040 even?
True
Is 27 a factor of 3229795701?
True
Does 75 divide 71910375?
True
Does 671 divide 2338435?
True
Does 2291 divide 75814230?
False
Is 34100982 a multiple of 6?
True
Is 11 a factor of 2341757?
True
Is 8 a factor of 592873478?
False
Is 4 a factor of 12428545?
False
Does 10 divide 24718520?
True
Is 70 a factor of 137894610?
True
Does 84 divide 19837206?
False
Is 122623100 a multiple of 215?
True
Is 179300700 a multiple of 450?
True
Is 74151789 a multiple of 1775?
False
Is 264757304 a multiple of 7?
True
Does 11 divide 2593815075?
False
Is 220 a factor of 7640380?
True
Is 585159898 a multiple of 463?
False
Is 90141336 a multiple of 521?
True
Is 911 a factor of 25517015?
False
Does 212 divide 94302264?
True
Is 288 a factor of 13130040?
False
Is 2134 a factor of 74339171?
False
Is 15 a factor of 265918092?
False
Does 428 divide 13133868?
False
Is 51819500 a multiple of 10?
True
Does 51 divide 17490356?
False
Is 4 a factor of 1347373?
False
Is 2296 a factor of 40675936?
True
Does 671 divide 364021418?
False
Is 20084526 a multiple of 66?
True
Does 96 divide 4631240?
False
Does 9 divide 661877163?
True
Is 23635260 a multiple of 20?
True
Is 330 a factor of 4464417336?
False
Is 9366183 a multiple of 171?
True
Does 17 divide 131032430?
True
Does 4 divide 1751046316?
True
Is 9230903 a multiple of 319?
True
Does 11 divide 17639000?
False
Is 1826981373 a multiple of 327?
True
Does 19 divide 109220002?
False
Is 7 a factor of 663320196?
True
Is 7564944 a multiple of 14?
False
Is 1047 a factor of 281336442?
False
Is 10123666 a multiple of 297?
False
Is 820488733 a multiple of 27?
False
Is 15018760 a multiple of 10?
True
Is 12 a factor of 51987393?
False
Is 165429624 a multiple of 996?
True
Is 1474084728 a multiple of 24?
True
Is 14086260 a multiple of 36?
True
Is 19 a factor of 33821228?
False
Is 466 a factor of 1765444262?
True
Is 64749253 a multiple of 1233?
False
Is 1580 a factor of 240967894?
False
Is 2711 a factor of 3051543057?
False
Is 44950482 a multiple of 578?
True
Is 136 a factor of 240992?
True
Does 1874 divide 440641116?
True
Is 33 a factor of 3050981463?
False
Is 436515256 a multiple of 1016?
True
Is 3078280 a multiple of 342?
False
Is 13480390 a multiple of 6314?
True
Does 615 divide 20459554?
False
Is 60 a factor of 213494340?
True
Is 137 a factor of 7252780?
True
Does 45 divide 110089983?
False
Does 23 divide 3372223269?
True
Does 228 divide 585498300?
True
Is 6 a factor of 1352004912?
True
Is 11 a factor of 4126120?
False
Is 13460249 a multiple of 5?
False
Does 4950 divide 649543950?
True
Does 38 divide 1322446?
False
Is 73637769 a multiple of 226?
False
Does 22 divide 61377512?
False
Is 6404034243 a multiple of 203?
False
Is 69510235 a multiple of 33?
False
Does 86 divide 33408411?
False
Does 28 divide 238466200?
True
Does 300 divide 1810322100?
True
Is 27023566 a multiple of 554?
True
Is 232965815 a multiple of 131?
True
Does 13 divide 432916276?
True
Is 29658770 a multiple of 8?
False
Is 13 a factor of 207601000?
False
Does 604 divide 1082192840?
True
Is 419 a factor of 169024214?
False
Does 7 divide 1722067?
False
Is 17 a factor of 396109656?
True
Does 16 divide 1455065872?
True
Is 1752 a factor of 42076032?
True
Is 4230148938 a multiple of 138?
False
Is 239870322 a multiple of 6?
True
Is 27803153 a multiple of 348?
False
Is 261847980 a multiple of 325?
False
Is 3843 a factor of 943199019?
True
Is 145905270 a multiple of 10?
True
Does 761 divide 10103036?
True
Does 606 divide 103492046?
False
Does 1313 divide 40450904?
True
Is 174 a factor of 40152762?
True
Does 42 divide 339364301?
False
Is 58020 a multiple of 2?
True
Is 110 a factor of 46439800?
True
Is 45 a factor of 4814023?
False
Does 12 divide 527304?
True
Does 2283 divide 581723391?
False
Does 22 divide 159795328?
True
Is 308 a factor of 91022008?
True
Is 8 a factor of 22068248?
True
Does 12 divide 9076716?
True
Is 75 a factor of 342713972?
False
Does 266 divide 1282909222?
True
Does 159 divide 99795873?
True
Is 343823758 a multiple of 298?
True
Is 1806553480 a multiple of 14?
False
Is 20388368 a multiple of 286?
True
Does 62 divide 13298318?
True
Is 6 a factor of 45076698?
True
Does 988 divide 97907836?
True
Is 2200932189 a multiple of 843?
False
Is 28253739 even?
False
Is 11 a factor of 11963512?
True
Does 8 divide 265696320?
True
Is 31968347 a multiple of 13?
False
Does 206 divide 232986?
True
Is 1516142430 a multiple of 990?
True
Is 14114607 a multiple of 663?
True
Is 1334 a factor of 91948975?
False
Is 831008244 a multiple of 127?
True
Is 23 a factor of 58332462?
True
Does 588 divide 1947139068?
True
Is 5333 a factor of 182916567?
True
Does 271 divide 2635198309?
True
Is 30 a factor of 13904303?
False
Does 50 divide 11697547?
False
Does 21 divide 55799360?
False
Does 106 divide 5271168?
True
Does 51 divide 38100825?
True
Is 231409661 a multiple of 1134?
False
Is 567 a factor of 53347394?
False
Is 248136909 a multiple of 643?
False
Is 1242043738 a multiple of 8?
False
Is 312794702 a multiple of 19?
False
Is 1118722056 a multiple of 13029?
True
Does 261 divide 10836461?
False
Is 820 a factor of 28390860?
True
Is 42956824 a multiple of 443?
True
Is 2641508 a multiple of 161?
False
Is 804395007 a multiple of 170?
False
Is 30 a factor of 110014800?
True
Is 13
|
{
"pile_set_name": "DM Mathematics"
}
|
prime?
True
Let p = 2474 + -1063. Is p composite?
True
Let o(k) = 468*k**3 + k**2 + k + 5. Is o(2) composite?
True
Let m(q) = -2*q - 8. Let l be m(-6). Let u = 4 - -15. Suppose -l*h + u + 201 = 0. Is h a prime number?
False
Let i(n) = 10*n + 41. Is i(17) prime?
True
Suppose 8*g = 2*g + 1266. Is g prime?
True
Is (-2 - -2) + (2745 - -4) composite?
False
Let h = 3852 - 2622. Suppose f - h = -f. Suppose -5*l + 4*m = -f, 4*m - 40 + 528 = 4*l. Is l prime?
True
Let a(j) = 14*j**3 - 8*j - 6. Let r(g) = -7*g**3 + 4*g + 3. Let x(q) = 2*a(q) + 5*r(q). Suppose 6 = -5*h - y - 9, -4*y - 30 = 5*h. Is x(h) prime?
False
Let s be 2 + (2 - 3) + 6. Let l(x) = x**2 + 0*x**2 + s*x + 3 - 5. Is l(-8) a composite number?
True
Let p be 3/(-9) + 30/9. Suppose 23 = p*o + 2*g - 4, 0 = 4*g. Is o a prime number?
False
Let x = 3187 + -1678. Is x a composite number?
True
Suppose -8892 = -3*y + n, 2948 = y + 8*n - 3*n. Is y composite?
False
Is 49 + (-6*1)/(-3) composite?
True
Let o be 0 + 0 + 31 + 1. Let q be 7/14 - (-21)/2. Let p = o - q. Is p a composite number?
True
Let o be (-21)/(-3) - (-2)/(-1). Let t = 3 + -3. Suppose -4*a + 63 + 7 = o*y, -5*a - y + 77 = t. Is a prime?
False
Let i(m) = -15*m - 11. Let y(u) = 31*u + 23. Let s(z) = 13*i(z) + 6*y(z). Is s(-4) a composite number?
False
Let f(u) = 2*u**3 - 21*u**2 + 7*u + 29. Is f(14) prime?
True
Let f(x) = 18*x - 17. Is f(8) a composite number?
False
Suppose -2*d = 2*d + 1240. Is 12/10*d/(-4) a prime number?
False
Let k(w) = 10*w + 7. Let h be k(6). Suppose 0*b + b = h. Is b prime?
True
Let i(z) = -z**3 - 2*z**2 - 12*z - 11. Is i(-8) prime?
False
Let r(z) = 2*z**2. Let a be r(-1). Let k be a*(-4 + 1)/6. Is -1 + k + 297/3 prime?
True
Let o(u) = u - 10. Let s be o(12). Is (7/(-28))/(s/(-536)) a prime number?
True
Suppose 0 = 3*z + z - 16. Suppose -3*l - 53 = -z*w, w = -w - 4*l + 10. Is w composite?
False
Is (-7 - (3 - 7)) + (586 - 0) composite?
True
Let i(g) = 78*g**2 - 2*g - 1. Is i(-1) a composite number?
False
Suppose -5*i + 10 = -3*i. Let r(h) = 2*h**3 - 4*h**2 - 2*h - 1. Let s be r(4). Suppose -2*j - s = -3*u, 2*j = -i*u + 3*j + 80. Is u a composite number?
True
Let s be 37/4 - (-2)/(-8). Suppose x - 6 + 3 = 0. Suppose -x*q + 27 = -f - s, -5*f = -15. Is q a prime number?
True
Suppose 320 = m - 6*m. Let l = m + 117. Is l a composite number?
False
Is ((-3)/4)/(8/(-4768)) prime?
False
Suppose 0 = 23*z - 25*z + 538. Is z a composite number?
False
Let t(p) be the first derivative of -p**3/3 + 7*p**2/2 - 5*p + 1. Let f(g) = 3*g**3 + g. Let j be f(1). Is t(j) composite?
False
Suppose o + 5*u - 13 = 0, 4*o - u - 17 = -7. Suppose -o*v - a + 54 = 0, -3*v + v = -5*a - 53. Is v prime?
True
Let u be 22/6 + (-3)/(-9). Suppose -92 = -u*f + 56. Is f prime?
True
Let v = -698 + 2097. Is v composite?
False
Is 0 + 642 + (-1)/1 a prime number?
True
Let g be (2/6)/((-2)/(-48)). Suppose 4*w = g*w - 8. Suppose w*n - 193 = 65. Is n a prime number?
False
Let c be ((-1)/3)/((-3)/45). Suppose 20 = -c*m, 3*h + 0*h + 54 = -3*m. Is ((-6)/(-4) - 2)*h prime?
True
Let h = 24 - 8. Suppose -3*y + 73 = h. Is y prime?
True
Let s = -10 + 12. Is (141/(-6))/((-1)/s) a prime number?
True
Let o(g) = -6*g + 0*g - 8 + g. Suppose s - 2*s = 2*p + 21, 2*p = s - 15. Is o(p) a prime number?
True
Suppose k + 1119 = 4*k. Is k prime?
True
Let k(p) = -p**2 - 3*p + 1. Let j be k(-3). Is j*21/1 + 1 a composite number?
True
Let b be (-6)/18 - (-4438)/(-6). Let z = 17 - b. Is z a prime number?
True
Let n be (4 - 0) + 4 + -6. Suppose -4*s - 2*m - n*m + 4 = 0, 0 = s - 3*m - 17. Is (-2)/s + (-1641)/(-15) a composite number?
False
Suppose -2*h + 176 = -2*p, 2*h - 2*p = p + 174. Let q = h + -57. Is q a prime number?
False
Suppose a = 54 + 221. Suppose w = 6*w - a. Is w a prime number?
False
Let h(o) be the third derivative of -o**7/280 - o**6/72 - o**5/30 - o**4/12 - o**3/6 - o**2. Let p(r) be the first derivative of h(r). Is p(-3) composite?
True
Let f = -57 + -116. Let j = 104 + f. Let r = 126 + j. Is r composite?
True
Let j(s) = s**3 + 11*s**2 - 11*s + 17. Let a be j(-12). Let b = a - 2. Suppose 5*c = -m + 43, -b*c - 23 = -m + 2*c. Is m a prime number?
False
Is -1 + 5382 + 2 + -2 composite?
False
Suppose 0 = -3*p + 6*p + 138. Is p/(-4*2/4) a composite number?
False
Let p be (-1)/2 - 1715/(-10). Let j = p + -82. Is j a prime number?
True
Let l(j) = j - 6*j - 1 + 5*j**3 - 3*j**3 - 5*j**3. Is l(-6) a composite number?
False
Is 8/20 + (-793)/(-5) a composite number?
True
Let s be 0/5 + 5*1. Let y = -3 - -18. Suppose -y = -2*r + s. Is r prime?
False
Let l(s) = -2*s**2 + 15 + 6*s**2 + 15*s - 3*s**2. Let m(u) = -u - 1. Let y(a) = -l(a) - 4*m(a). Is y(-9) a composite number?
False
Is (-314)/(-4)*(-5 + 19) prime?
False
Suppose 30 = 4*b - 2*n, -3*b - b + 5*n + 45 = 0. Suppose 0 = -4*l + b*p + 24, 4*l + p = 2*l + 12. Let k = l + 1. Is k a composite number?
False
Suppose 0 = 3*d - 3*f - 21, -d = d - 3*f - 11. Is d a composite number?
True
Suppose 5*x - 16 = -6. Let k = -8 + 11. Suppose -3*c - 46 = -2*b - x*c, 0 = -k*b - c + 59. Is b prime?
False
Suppose -19 = 3*c + 2. Suppose 3*d = 4*d + 10. Let i = c - d. Is i a composite number?
False
Suppose 9 - 7 = 2*q. Is -2*(-122 + 3) + q prime?
True
Let n(i) = -i**2 - 7*i. Let y be n(-7). Suppose -v - d = 106, y*d = -3*v - 2*d - 319. Let t = v - -160. Is t a prime number?
True
Suppose 0 = 3*g + a - 2394, 4*g + 2*a = -a + 3197. Is g a composite number?
False
Let j(i) = 7*i**2 + 5*i - 65. Is j(24) a prime number?
False
Let d(q) = -q**3 + 8*q**2 + 6*q - 13. Is d(8) a composite number?
True
Suppose 5*l - 835 = -2*z, -2*l + 334 = 2*z + z. Is l composite?
False
Suppose 5*f - 4222 = -m, 2*m - f - 4*f = 8399. Is m a composite number?
True
Suppose 2*u - 137 - 33 = 0. Is u a composite number?
True
Let r(w) = 34*w**3 - 2*w**2 + 1. Let q(n) = n**2 + 7*n + 1. Let b be q(-7). Is r(b) composite?
True
Is (-252)/(-35) + (-2)/10 a prime number?
True
Let f = 11 - 2. Let u be 523 + f/3 + -6. Suppose -5*j - u = 2*y - 7*y, 525 = 5*y - 4*j. Is y a composite number?
False
Suppose 4*m = 4*n + 1496, 8*n - 1143 = -3*m + 4*n. Suppose 4*z - 4*s - 203 = m, 4*z = 2*s + 588. Is z a composite number?
False
Let c(f) = -40*f - 5. Suppose -q - 4*p = 2*q + 29, 26 = -2*q - 4*p. Is c(q) a composite number?
True
Is (-127)/((-9)/(-15) + (-16)/10) prime?
True
Let g(s) = -2*s**3 - 10*s**2 - 7*s - 1. Let q be g(-6). Let c = -60 + q. Is c a prime number?
True
Is (-2*1)/((-20)/4870) a composite number?
False
Suppose -101 = -4*y - a + 114, 0 = 5*y + 3*a - 260. Is y a composite number?
True
Suppose h - 4*p + 8 - 2 = 0, -2*h + 5*p = 0. Suppose l + 154 = 5*r, -2*r = -3*r - 5*l + h. Suppose r = 3*t - t. Is t prime?
False
Let y(s) = 128*s - 1. Let d(m) = -m**3 + 4*m**2 - 4*m + 4. Let i be (-5)/(15/(-18)) + -3. Let p be d(i). Is y(p) composite?
False
Let x = -13 - -74. Let u = 154 - x. Is u prime?
False
Suppose 20 = -2*n - 3*n, -z - 4*n + 360 = 0. Suppose 3*w - 6947 = g, -5*g + z = 3*w - 6595. Is w a prime number?
False
Suppose -5*s + 46 = -24. Suppose -4 + 28 = 3*u. Is u/28 - (-178)/s composite?
False
Suppose 4*u + 3*o = -18 + 6, 20 = 2*u - 5*o. Suppose u*t = t, 3*t = -2*h + 150. Suppose -5*y = 0, -2*f + h = 3*y - 83. Is f prime?
True
Let t(u) = 0 + 3 + 44*u - 1. Is t(1) a prime number?
False
Is (-6)/(-2) + 250*4 composite?
True
Suppose -229 + 33 = -4*c. Is c a prime number?
False
Let a = -2 + 4. Suppose -5*n - l + 382 = -a*n, 0 = 4*l + 20. Is n prime?
False
Suppose x + 5 = 10. Let v be 964/10 - 2/x. Suppose -3*c = 5*l - 583, 4*c - 318 = -2*l - v. Is l composite?
True
Let v be (-362)/(-3) - (-4)/(-6). Suppose -2*g + v + 50 = 0. Is g a composite number?
True
Let b(h) = 66*h**2 - 4 + 8*h - 6*h + 0*h**2 + 3. Is b(-3) a prime number?
True
Suppose -2*d - 244 = -2*x - 56, -3*x = d - 270. Suppose 3*u = -2*v + x, 4*v - 189 = u - 0*u. Is v a prime number?
True
Let w(r) = 11*r - 3. Let o be 4/1*1/2. Is w(o) a composite number?
False
Let f be (1 + -1)/(2 + -1). Suppose f = 4*l - 5*l. Suppose 0 = 2*w - l*w - 158. Is w composite?
False
Let v = 7 - 3. Suppose v = -5*k + k. Is 1/(-3)*345/k composite?
True
Let o(r) = r**2 - r + 3. Let q be o(0). Suppose -4*f - 32 = -m, 0 = 2*m + q*f - 2*f - 37. Let h = m + -13. Is h a composite number?
False
Let w(l) = -2*l - 6. Let b be w(-4). Suppose -3*r + 4*o = -0*r - 58, -3
|
{
"pile_set_name": "DM Mathematics"
}
|
divided by 3471892?
-2
Calculate -4619391 divided by 4619391.
-1
What is 10046758 divided by 1982?
5069
What is -5 divided by -51027199?
5/51027199
Calculate -16128424 divided by 1.
-16128424
205 divided by 1237516
205/1237516
What is -1681100 divided by -25?
67244
Divide -3447168 by 764.
-4512
Calculate 896604881 divided by 3572131.
251
4700376 divided by -16668
-282
Divide 8 by 532889.
8/532889
Divide -378743168 by 2958931.
-128
Calculate 12773345 divided by 4.
12773345/4
What is -4 divided by -1264617?
4/1264617
Divide -121841187 by 6539.
-18633
-368 divided by 62930
-184/31465
Calculate -1689310 divided by 120665.
-14
Divide -954269 by -48.
954269/48
-389538 divided by -201
1938
Divide -5391100 by 130.
-41470
Calculate 547105338 divided by -65553.
-8346
What is -24653328 divided by 921?
-26768
0 divided by 3360204
0
-3737191 divided by 1
-3737191
-783728 divided by 438
-5368/3
Calculate 3149188 divided by 4786.
658
Divide 224472711 by 3.
74824237
40522773 divided by -29
-1397337
Calculate 34862952 divided by -8715738.
-4
Calculate -2704668 divided by -877.
3084
Calculate -5939163 divided by 17.
-5939163/17
Calculate 1321 divided by -33998.
-1321/33998
Calculate -7746776 divided by -1936694.
4
-30 divided by -258347
30/258347
Calculate -12860736 divided by -401898.
32
What is -72293920 divided by 14458784?
-5
Divide -569503 by -11.
51773
Calculate 2639884 divided by -659971.
-4
Calculate 14718033 divided by -22.
-1338003/2
Divide -13752 by 9553.
-13752/9553
Calculate -131549916 divided by 6197.
-21228
What is -1982191940 divided by 4?
-495547985
29 divided by 1366669
29/1366669
Calculate -190318576 divided by 56.
-3398546
-902 divided by 562098
-451/281049
Calculate 3 divided by 3732799.
3/3732799
Divide -2 by -836522.
1/418261
What is 9380021 divided by 7889?
1189
What is 762949215 divided by -3255?
-234393
Divide -1 by -523713.
1/523713
Calculate 36 divided by 712307.
36/712307
Divide -2762 by -8399.
2762/8399
85403 divided by 1
85403
What is 169 divided by 787057?
169/787057
-3094383 divided by 3
-1031461
Calculate -5438 divided by -91811.
5438/91811
Divide -12807058 by -2.
6403529
Divide -16669686 by -363.
45922
Divide 37571988 by 5.
37571988/5
Divide -37752678 by 18876339.
-2
Calculate -302843295 divided by -5.
60568659
-395347905 divided by 131782635
-3
Divide 181064823 by 60354941.
3
Calculate 0 divided by 13848022.
0
What is 4880889 divided by -9627?
-507
What is 16399 divided by 73?
16399/73
Calculate -23062384 divided by 11531192.
-2
Divide 4889174 by -4889174.
-1
Calculate 1783914 divided by 453.
3938
141 divided by 725996
141/725996
What is 2280040 divided by -680?
-3353
What is -73 divided by -6111794?
73/6111794
-15225 divided by 722
-15225/722
0 divided by -27284969
0
What is -270322632 divided by 113868?
-2374
Calculate -19457 divided by 123.
-19457/123
7714856 divided by 1928714
4
What is -59326345 divided by 5?
-11865269
What is -7 divided by 9961008?
-7/9961008
Divide -24755054 by -5.
24755054/5
Divide 9 by -980228.
-9/980228
Divide -6 by 1628024.
-3/814012
Divide 9678 by -3645.
-3226/1215
Calculate 13423830 divided by -447461.
-30
Calculate 536 divided by 18150.
268/9075
Divide -1572 by -64344.
131/5362
Calculate 8593615 divided by -1.
-8593615
Calculate 475 divided by -671653.
-475/671653
Divide -104752968 by 372.
-281594
What is -14540978 divided by 7270489?
-2
What is -100548 divided by 935?
-100548/935
-79985706 divided by 79985706
-1
Divide -113425 by 325.
-349
Calculate 380 divided by -1257760.
-19/62888
-7655004 divided by 5747
-1332
Calculate -52348320 divided by -145412.
360
Calculate 11213244 divided by -5.
-11213244/5
What is 118363458 divided by 37374?
3167
Calculate 4 divided by -219092.
-1/54773
-5416748 divided by -2
2708374
-2451157 divided by -1
2451157
What is -8909320 divided by 7?
-1272760
Calculate 4550406 divided by 108343.
42
Divide -541328823 by -63.
8592521
Calculate 1916728 divided by -2.
-958364
What is -53495842 divided by 1?
-53495842
-1 divided by -29400854
1/29400854
What is 2 divided by -1737486?
-1/868743
Divide 5698052 by -27.
-5698052/27
Calculate 358632570 divided by 71726514.
5
-46854695 divided by -1
46854695
Calculate 242827396 divided by -121413698.
-2
Calculate 2083591102 divided by 4.
1041795551/2
What is -91846728 divided by -2482344?
37
Divide 89713575 by -7.
-12816225
Divide 0 by 2169282.
0
Calculate 243723 divided by -33.
-81241/11
Divide 48939 by -105.
-16313/35
What is 40845222 divided by -11?
-3713202
Divide -24320125 by -5.
4864025
Divide -5736528 by -26558.
216
4264938 divided by 313
13626
Calculate -1560168 divided by 5592.
-279
What is -31419 divided by -5?
31419/5
Divide -250320 by 84.
-2980
What is 829385458 divided by 11?
75398678
-119707760 divided by 2
-59853880
-28813068 divided by 7203267
-4
What is 8835 divided by -32579?
-8835/32579
What is -960 divided by 34229?
-960/34229
107333466 divided by -89
-1205994
Calculate -165 divided by 251970.
-11/16798
Divide 240739876 by 4629613.
52
Calculate -40 divided by -223690.
4/22369
Calculate -208918890 divided by 6.
-34819815
1250 divided by 7665
250/1533
What is 0 divided by -7027933?
0
Calculate -19588336 divided by 9794168.
-2
Divide -338275 by 7.
-48325
-23162493 divided by 126571
-183
4884200 divided by 6
2442100/3
What is -167747769 divided by 86961?
-1929
What is 0 divided by 7071639?
0
-17 divided by -21551929
17/21551929
5381040 divided by -96090
-56
Calculate -6 divided by 2713624.
-3/1356812
Calculate 917713862 divided by 197.
4658446
955049 divided by 2
955049/2
Calculate 1081 divided by 17307.
1081/17307
What is -1745142 divided by -249306?
7
Calculate -1591426455 divided by -3.
530475485
4966936 divided by -1172
-4238
Calculate -1 divided by 11544955.
-1/11544955
What is -4 divided by 8349144?
-1/2087286
What is 12059420 divided by -2411884?
-5
What is -5744620 divided by -41033?
140
-4212010 divided by 842402
-5
Divide -2 by 155133004.
-1/77566502
What is 215430920 divided by -5?
-43086184
Divide -9 by 21020315.
-9/21020315
Divide -16 by 14892286.
-8/7446143
What is 5 divided by 296525?
1/59305
Calculate -6 divided by -12196262.
3/6098131
Calculate 6836615 divided by 1367323.
5
Divide 203113320 by 50778330.
4
Calculate -3198 divided by -41.
78
Divide -10 by 1315043.
-10/1315043
Divide -62704 by 8557.
-62704/8557
What is -20851200 divided by -1440?
14480
What is -348 divided by 13460?
-87/3365
Calculate -1442995 divided by -5.
288599
Divide 13 by -11635741.
-1/895057
Calculate -2929108 divided by 732277.
-4
Divide -105 by 817446.
-5/38926
What is 100569756 divided by 513111?
196
Calculate -89465256 divided by 12.
-7455438
-3928965 divided by 5573
-705
117760 divided by 20
5888
Divide -45516977 by 4137907.
-11
Divide 122577676 by -4714526.
-26
What is 32681600 divided by -116720?
-280
Calculate -29 divided by 1757858.
-29/1757858
Calculate 32649 divided by 2215.
32649/2215
Divide 876944 by -38128.
-23
What is 2439675 divided by -4647?
-525
1546192 divided by -16
-96637
Divide -4012666 by -573238.
7
Divide -4200 by -7271.
4200/7271
Calculate -120327048 divided by 40109016.
-3
Calculate -6048726 divided by 3.
-2016242
What is 81094 divided by 26?
3119
What is -516258296 divided by -346?
1492076
Calculate 140 divided by 29416.
35/7354
-290779 divided by 2812
-290779/2812
Calculate -19910 divided by -441.
19910/441
Divide 594462144 by -12.
-49538512
Divide 0 by -1217569.
0
Divide 38820 by 1819.
38820/1819
Divide 0 by -6069149.
0
Divide 2170723 by 2.
2170723/2
36 divided by 5919039
4/657671
What is -11865798 divided by 847557?
-14
Divide 246109800 by -200.
-1230549
-346191 divided by -18
115397/6
-16242089 divided by 3
-16242089/3
What is -39369 divided by -449?
39369/449
What is 1 divided by 1532200?
1/1532200
-21299076 divided by 1
-21299076
Calculate 193447 divided by -282.
-193447/282
Calculate 7131504 divided by -1782876.
-4
What is 0 divided by -3117424?
0
2146720 divided by 5
429344
12663 divided by 110
12663/110
Calculate 7014448 divided by -784.
-8947
Calculate -87 divided by -14625.
29/4875
What is 608173618 divided by 46782586?
13
Divide -182600565 by 345.
-529277
-389276664 divided by 27805476
-14
Divide 108345 by 142.
108345/142
Calculate 96810875 divided by 8.
96810875/8
-5 divided by 6351736
|
{
"pile_set_name": "DM Mathematics"
}
|
.
-5
Solve -n - 6 = 5*k, 4 = n - 0*n - 5*k for n.
-1
Solve -7 = u + 2*u + l, 0 = 3*l + 3 for u.
-2
Solve -65*c = -5*u - 69*c + 36, -2*u - 4*c = -24 for u.
4
Solve n - 26 = 5*q, 24*n + 5*q + 24 = 23*n for n.
1
Solve -5*o - 20 = 2*i, 4*i + 4*o - 8 + 24 = 0 for i.
0
Solve 5*x - 2*k = 2*k, 4*x = -2*k for x.
0
Solve -4*g + 7 = -u, -4*u - 11 = g - 0*u for g.
1
Solve -10 = -v - 3*k - 14, 3*k = 4*v + 16 for v.
-4
Solve -2*h + 9 = -5*r + 3, 3*r = -5*h + 15 for r.
0
Solve -12 = 11*x - 12*x + 5*r, -3*x + r = 6 for x.
-3
Solve -5*z = -11*h + 8*h + 2, 0 = -3*z - 3*h - 30 for z.
-4
Solve 3*o + 10*i + 8 = 5*i, -8*i = 5*o + 12 for o.
4
Solve -4*o + l + 21 = 16, -l = -3*o + 5 for o.
0
Solve -12 = 4*k - 4*y + 4, 0 = -5*k - 2*y + 15 for k.
1
Solve -3*q - 2 = -2*w, 4*q - q + 3*w = -12 for q.
-2
Solve m = -f - 1, 4*f + 5 = m + 1 for m.
0
Solve 10*y - 7*y - 2*g = 3, 3*y + 2*g = 3 for y.
1
Solve 2*d + 4*w - 22 = 0, -3 = -d - 3*w + 13 for d.
1
Solve -5*z - 3*y = 19, 3*z - 4*y = 4*z + 14 for z.
-2
Solve -3*k + 1 = -3*y - 8, 3*y + 23 = -4*k for k.
-2
Solve 6 = -t + a, 6*a + 8 = -2*t + 7*a for t.
-2
Solve -12 = 42*u - 45*u + 2*c, 2*c = -5*u + 20 for u.
4
Solve 0 = -o, 5*o - 8*o - 2 = -v for v.
2
Solve 0 = p - 3*p - 4*f + 12, -p - 5*f + 12 = 0 for p.
2
Solve -32*h + 27*h = 3*a - 20, -3*h = 3*a - 18 for a.
5
Solve 3*q + 35*z = 30*z - 13, 5*q + 1 = 2*z for q.
-1
Solve -3*m - 4*s = -12, -3*s + 7 = 3*m - 2 for m.
0
Solve -3*d = 3*g + 9, -3*d - 2*g + 7*g + 15 = 0 for d.
0
Solve 0 = -3*j + 4*j + z + 4, -2*j - 12 = 4*z for j.
-2
Solve -2*b - 12 = 4*a, -5*b + 47*a - 42*a = 0 for b.
-2
Solve 5*k - 2*u + 2 = -u, -4 = 4*k - 2*u for k.
0
Solve -5*q - 5*o = 10, 3*q + 26*o = 24*o - 5 for q.
-1
Solve -5*a - 45*l + 46*l + 16 = 0, 5*a - 2*l = 17 for a.
3
Solve 2*y + 33 = -5*i + 5, -3*i - 12 = 0 for y.
-4
Solve q + 52 = -3*i + 58, 2*i - 17 = -5*q for q.
3
Solve -5*p = 0, 6*p + 15 = 3*z - 8*z + 7*p for z.
-3
Solve 5*t - 6 = -2*v - 3, -v = 5*t - 4 for t.
1
Solve -5*x = -3*g + 7, -4 + 2 = -g + 2*x for g.
4
Solve -2*h + 0 = -2*g + 2, -4*g = -5*h - 5 for g.
0
Solve 5 = 4*w + 4*k + 1, -4*k - 1 = 3*w for w.
5
Solve -17*a + 18*a = -5*c + 21, 17 = 3*c + 5*a for c.
4
Solve 4*m - 18 = z - 24, -m - 10 = 4*z for z.
-2
Solve -4*h = 0, -3*z - 3*h + 25 = 2*z for z.
5
Solve 5*m = 5*n + 5, 3*n = 4*m + m + 3 for m.
-3
Solve -3*l + 5*l - 4 = 0, -5*w + 2*l - 9 = 0 for w.
-1
Solve 0 = 3*b + 2*r + 9, -3*r - 11 = b - 1 for b.
-1
Solve 0 = -334*l + 335*l + 2*d + 6, d = -2*l for l.
2
Solve 166*r - 170*r + g = -15, r - 18 = 5*g for r.
3
Solve 4*z - 2*c = -12, 3*c + 9 = -z + 5*c for z.
-1
Solve 8*o = 5*o - 6, 0 = 4*d - 4*o - 20 for d.
3
Solve 5*p = -5*l - 10, 4*p + 4 + 2 = -2*l for l.
-1
Solve -5 = -5*h - 2*x, -5*h + x - 30 = -4*x for h.
-1
Solve 0 = 3*j + 3*i, 2*i = -5*j - 2*i + 1 for j.
1
Solve 0 = 3*d - 3*y + 6 + 18, 2*d - y + 12 = 0 for d.
-4
Solve -2*q - 3*o + 5 - 3 = 0, 2*q = -o - 2 for q.
-2
Solve -2*z - 3 = y, -3*z + 4*y - 24 = -2*z for z.
-4
Solve -g + 11 = -0*z - 3*z, -2*z - 26 = 4*g for g.
-4
Solve n - 6 = -5*c, 0 = 4*n + 2*c - 4*c + 20 for n.
-4
Solve 4*c - 3*p = 15, 6*c - 12 + 2 = 2*p for c.
0
Solve 0 = 5*m - 5*f - 30, 3*m = 5*f + 1 + 25 for m.
2
Solve -2*f + z - 29 + 24 = 0, -15 = 3*f - 4*z for f.
-1
Solve 0 = 5*c + 2*y + 1, 25*c - 30*c - 3*y + 1 = 0 for c.
-1
Solve 0 = -7*b + 2*b + w, -4 = b - w for b.
1
Solve 2*y = 2*t - 8, 0 = 2*t + 13*y - 14*y - 8 for t.
4
Solve -3*q + 4*g - 35 = 0, g + 15 = 4*g for q.
-5
Solve -8*h = -5*h + 3*f, -h = -4*f for h.
0
Solve -3*j + 10 = -4*m - 2, 5*m + 15 = -j for j.
0
Solve -25 = 5*g + 2*q - 7*q, 0 = 3*g - 2*q + 13 for g.
-3
Solve 5*l + 4*q + 4 = 0, 0*q - q - 4 = 2*l for l.
-4
Solve 4*a - f + 39 = 61, -3*f - 6 = 0 for a.
5
Solve t - 2*l - 7 = 0, -17*t + 19*t = -5*l - 31 for t.
-3
Solve 3 = n + 2*h, 4*h - 6 = 2*h for n.
-3
Solve -4*f + 3 = -3*a, -16*f + 5 = -5*a - 17*f for a.
-1
Solve -5*t - 11 = 2*b, -5*t = -0*t + 15 for b.
2
Solve 2*d + 2*t - 10 = 0, -9*d + 7*d = 3*t - 15 for d.
0
Solve -2*d - 7 = -c, 0*d = -4*d - 4 for c.
5
Solve 0 = 4*j + 4*g + 8, 0 = -j + g + 4 for j.
1
Solve 3*g - y - 33 = -44, 0 = -4*g + 2*y - 16 for g.
-3
Solve 2*h + 2*w + 21 = 19, 5*w + 11 = -3*h for h.
3
Solve 2*g - 6 = 2*q, 3*g + 11 = 2*q + 16 for g.
-1
Solve -4*t + 14*g + 3 = 15*g, 2 = 3*t + g for t.
1
Solve 0*d - 5*t - 20 = -d, 0 = d + t + 4 for d.
0
Solve -2*n = -2*t + 10, -16 = 3*n + 39*t - 43*t for n.
-4
Solve 2*k + 36 = 3*y + 51, -3*k + 6 = y for k.
3
Solve l + 4*g + 27 - 9 = 0, 5*l + g - 5 = 0 for l.
2
Solve -3*o = 4*g + 35 - 0, 5*o + 2*g + 35 = 0 for o.
-5
Solve 3*p = a + 7 + 2, -2*a + 4 = 5*p for a.
-3
Solve 0 = -0*g + 2*g, 4*q - 5*g + 8 = 0 for q.
-2
Solve -2*v + 2 = 0, 5*j + 4*v + 1 = 5 for j.
0
Solve i = -4*w + 2*w + 3, 0 = 2*w + 2 for i.
5
Solve 3*c + x = -1, -6 = -x - 2*x for c.
-1
Solve 3*b + 0*l = 4*l + 3, -l + 5 = 5*b for b.
1
Solve -3*g = r + 13, 1 = 3*r - 5 for g.
-5
Solve 5 = y - 2*j, 0*y + 2*y = 5*j + 11 for y.
3
Solve 2*t = 5*d + 17, 2 = d + 5*t - 0*t for d.
-3
Solve -2*n = -4*b - 12, -16*n = -21*n + 4*b + 24 for n.
4
Solve -4*k - 5*v = 30, -6*v = k - v + 15 for k.
-5
Solve 2*w - 5*w - 2*i - 5 = 0, -5*i = 20 for w.
1
Solve 7 = 3*a - 4*t - 24, -a = t - 1 for a.
5
Solve -12 = -3*f, 3 + 47 = -5*i + 5*f for i.
-6
Solve -4*b - a = -17, 5*b + a - 5 = 4*b for b.
4
Solve 4*z - 25 = 2*z + 5*j, 0 = -z + 5*j + 25 for z.
0
Solve 0*r + 13 = -4*r - y, -4*r + 5*y = -17 for r.
-2
Solve 0 = 5*p - 5*d - 30, 14*p + 11 = 17*p + 4*d for p.
5
Solve -a - 57*w - 25 = -52*w, 5*w = -25 for a.
0
Solve -p = -2*l - 0 - 3, -p + 11 = -4*l for l.
-4
Solve -k + 6 = k, -2*s - 5 = -k for s.
-1
Solve -3*z = f - 16, 4*z = 3*f + 16 + 1 for z.
5
Solve x = 5*t + 5*x + 11, 0 = 5*t - x + 16 for t.
-3
Solve 5*b = -2*n - 7, 4*b - 5*n = 8 - 7 for b.
-1
Solve 2*y = 2*z - 4, 0*y + 3*z = y + 8 for y.
1
Solve 15 = 5*q - 5, g + q - 7 = 0 for g.
3
Solve -3*z + 8 = 7*i - 6*i, -5*z = 3*i - 12 for i.
-1
Solve -5*p + 5 = -5*k, 0 = -2*k + k - 4 for p.
-3
Solve 6 = -5*h - 5*m + 21, -3*h = -4*m + 26 for h.
-2
Solve 2*w - 3*c + 3 = 3*w, -2*w - 4*c + 2 = 0 for w.
-3
Solve -5*w = 4*i - 31, -5*w + 6*i - i - 5 = 0 for w.
3
Solve -8*y - 15 = -9*y - 3*g, -y + 19 = 4*g for y.
3
Solve -1 = -3*n - 2*i, 58*i = -5*n + 56*i - 1 for n.
-1
Solve 3 + 0 = -4*s - 5*d, s + 5*d + 12 = 0 for s.
3
Solve 5*i - 2 + 0 = 3*x, 3*i + 4*x = 7 for i.
1
Solve 2*l = -5*q + 4, -3*q - 5*l + 10 + 0 = 0 for q.
0
Solve 5*k = 3*h - 5*h - 20, -3*k = 3*h + 12 for k.
-4
Solve u + 5 = m - 0*m, 0 = -5*m + 3*u + 25 for m.
5
Solve -5 = g, 5*g + 25 = 9*k - 13*k for k.
0
Solve -k + 24 = -5*p, 0 = -p - 3*p - 5*k - 25 for p.
-5
Solve -k = -4*w + 3, 0 = 5*k - 2*w - 0*w - 21 for k.
5
Solve -b = -3*x, 9*x + b + 5 = 7*x for x.
-1
Solve -4*u = -5*u + z, -2*u + z = 5 for u.
-5
Solve 5*w - 15 = 0, 3*n - w + 24 = 30 for n.
3
Solve 19 = -4*r + 3*i + 15, -2*r = -4*i - 8 for r.
-4
Solve -5*f - x - 4*x + 5 = 0, f - 4*x = 11 for f.
3
Solve 3*d = -u + 11 - 8, -d + 17 = -5*u for u.
-3
Solve x + 2*a + 5 - 1 = 0, -4*x + 2*a + 14 = 0 for x.
2
Solve 2*q = -5*t, -5*t + 15*q + 15 = 14*q for t.
2
Solve 4*u + 4*w = 32, u + 28 = 6*u + 2*w for u.
4
Solve -5*x = -x + 4*t - 8, -2*x - 4*t + 4 = 0 for x.
2
Solve -5*j - 33 = c, -4*j - 4 = 20 for c.
-3
Solve 5*s + 24 = 3*c + 13*s, 5*c - 9 = -3*s for c.
0
Solve -5*k + 24 = 4*y, 2*y - 10 - 2 = 3*k for y.
6
Solve -2*x + 9 = 2*a - 5, -x + 17 = 3*a for a.
5
Solve 0 = 2*l + 4*b + 14, 4*l + l - 3*b - 30 = 0 for l.
3
Solve -1 + 13 = -5*j + 2*g, 3*j + 4*g + 2 = 0 for j.
-2
Solve -10*x + 3 = -13*x - 3*p, 4*x + 3*p = -7 for x.
-4
Solve -2*v + 11 = u + 16, 2*v + 3 = u for v.
-2
Solve 0 = 5*b + 5*t + 24 - 14, -3*b + 2*t = -14 for b.
2
Solve 5*j = -20, f - 20*j + 24*j = -16 for f.
0
Solve 3*l + 1 = 5*d - 2, l = d + 1 for d.
3
Solve -4*i + 16 = -4*x, 6 = -239*x + 241*x + 5*i for x.
-2
Solve -t = 3*n + 14, 2*n = t + 1 - 7 for n.
-4
Solve 7*k = d - 0*d + 30, -k + d = -6 for k.
4
Solve 4*x + t + 34 = 57, 3*x - 24 = -3*t for x.
5
Solve 13 = -4*u - c, -3*c - 7 = 4*u - 0*c for u.
-4
Solve -14*j + 1 = -l - 16*j, 4*l = 5*j + 22 for l.
3
Solve -5*d + 1 = -10*d - 4*z, -13 = -3*d + z for d.
3
Solve -2*m + q - 4 = 0, 3*m - 5*m = -2*q for m.
-4
Solve l = 5*l + 5*d - 10, 0 = -3*l + 4*d + 23 for l.
5
Solve 12 = -5*l + 4*v - 21, 0 = 2*l + 4*v + 2 for l.
-5
Solve 3*v + m = -m - 3,
|
{
"pile_set_name": "DM Mathematics"
}
|
- 5*o, o + 12 = 3*p. Calculate the greatest common factor of p and 48.
3
Let s(h) = -18*h - 11. Let j be s(-2). Suppose -22*l = -j*l + 255. Calculate the highest common divisor of l and 34.
17
Let i = 315 + -291. What is the highest common divisor of i and 88?
8
Let b(s) = s**3 + 21*s**2 + 39*s + 25. Let c be b(-19). Let m = 314 + -218. What is the highest common divisor of m and c?
6
Suppose -3*c + 4*c = 7. Let u(g) = -g**2 - 11*g + 5. Let s be u(-11). Let o = 9 + s. Calculate the highest common factor of o and c.
7
Let r(o) = o + 125. Let a be r(22). Calculate the highest common factor of 105 and a.
21
Let w be (-5 + 0)/(3 + 174/(-57)). Calculate the highest common factor of w and 19.
19
Suppose -4*f = -4*h - h + 34, -9 = -h + 3*f. Let u be (-2)/(-1) + (-1 - -5)*16. Calculate the greatest common divisor of u and h.
6
Let x(n) = -n**2 - 36*n - 170. Let c be x(-29). What is the highest common divisor of 429 and c?
33
Let t = 255 + -448. Let c be 2 + 2/1 + t. Let y = -89 - c. What is the highest common divisor of 40 and y?
20
Let z = 699 - 400. Calculate the greatest common factor of z and 39.
13
Let k be (-63)/15*(-6390)/54. Calculate the highest common divisor of k and 213.
71
Let i be (-14 + 66/3)*22/4. Calculate the greatest common factor of 880 and i.
44
Let m = -782 - -840. What is the highest common divisor of m and 551?
29
Suppose 7*y + 106 = 5*y. Let t = y - -22. Let h = -11 - t. Calculate the greatest common divisor of 4 and h.
4
Let s = 322 - 190. Suppose 2*g - s = 4*i - i, 5*i + 80 = g. Calculate the highest common divisor of 36 and g.
12
Let m = -160 - -178. Calculate the greatest common divisor of 99 and m.
9
Let v = 12 - -38. Let a be (0 - -28)/(-4 - -3). Let o = a + v. What is the greatest common factor of 198 and o?
22
Suppose -3*o = -6, -3*o + 6 = 5*m + 70. Let d(n) = -14*n - 20. Let x be d(m). Let t = 16 - 0. What is the greatest common factor of x and t?
16
Suppose 13*v - 8 = 17*v. Let h be (43 - v)*4/6. Calculate the highest common divisor of 15 and h.
15
Let z(f) be the third derivative of f**6/120 + 3*f**5/20 + f**4/8 + 3*f**3/2 - 12*f**2. Let t be z(-8). What is the greatest common divisor of t and 7?
7
Suppose -6*i + 273 = -3*i. Calculate the greatest common factor of i and 13.
13
Let h(u) = -96*u - 165. Let d be h(-5). Calculate the greatest common factor of 35 and d.
35
Suppose -10*w = -410 - 970. Calculate the greatest common divisor of 92 and w.
46
Suppose -q + 5*q + 1 = n, 0 = 5*n - 5*q - 5. Suppose 3*s - s = 14. Calculate the highest common factor of n and s.
1
Let k be (1139/51)/((-2)/(-6)). Suppose -k = -2*j + f + 18, 4*j = -5*f + 191. What is the greatest common divisor of 11 and j?
11
Suppose -120 - 636 = -54*q. What is the highest common factor of 854 and q?
14
Let s = -857 - -1501. What is the highest common divisor of s and 28?
28
Suppose 0 = -2*s + 84 + 276. Calculate the greatest common factor of s and 108.
36
Let f(g) = 32*g + g**2 - 69*g - 51 + 34*g. Let o be f(12). Suppose 3*r - 57 = -0*r. What is the greatest common factor of r and o?
19
Let v(g) = -6*g + 10. Let y(n) = 7*n - 9. Let d(t) = 6*v(t) + 7*y(t). Let i be d(2). Calculate the greatest common factor of 23 and i.
23
Let a(o) = -o**2 + 11*o - 5. Let s be a(10). Suppose -k = s*k. Suppose 0 = 4*u - k*u - 36. What is the greatest common factor of 45 and u?
9
Suppose -406 + 2266 = 4*r + 3*m, -2*r - 2*m + 932 = 0. Let g = -327 + r. Calculate the greatest common divisor of 54 and g.
27
Let w = -41 + 39. Let v(x) = -10*x**3 - 3*x**2 - 3*x - 2. Let k be v(w). What is the highest common divisor of k and 18?
18
Suppose 2*m - 8*m = -30. Suppose 24 = m*a + 5*j - 6, 5*a - 24 = -2*j. Suppose 2*l + 20 = a*l. What is the highest common factor of l and 10?
10
Let t = 1798 + -1792. Calculate the highest common factor of t and 1080.
6
Let q(f) = -f**3 + 6*f**2 + 11*f - 4. Let i be q(7). Let k be (0 + 8)*(-3)/(-12). Suppose k*d - 4*d = -72. What is the highest common divisor of d and i?
12
Let i be (-6 + -1)*(0 + -1). Let g = 98 + -103. Let a = g + i. What is the highest common factor of 3 and a?
1
Let o be (-37)/2 + 12/8. Let x(j) = -3*j - 15. Let i be x(o). What is the highest common factor of 252 and i?
36
Let l = 559 - 479. Calculate the greatest common factor of l and 10.
10
Let r(o) = o**3 - 17*o**2 + 18*o + 4. Let t be r(16). Suppose 10*h - 12*h = -t. What is the greatest common factor of 45 and h?
9
Let p = -7 - -17. Suppose 0 = -6*h + 9*h - 642. Suppose 0*k - h = -3*k - o, 2*o = -5*k + 358. Calculate the highest common divisor of p and k.
10
Let i(m) = 452*m**3 - 3*m**2 + 2*m. Let n be i(1). Calculate the highest common factor of n and 82.
41
Let q = -16 + 32. Let g(j) = -j + 4*j**2 - 4*j - 5*j - 5*j**2 + 16. Let b be g(-8). Calculate the highest common divisor of b and q.
16
Let f = 7 - 8. Let p be -3*((-4 - f) + 6). Let d be ((-104)/6)/(3/p). Calculate the greatest common factor of 13 and d.
13
Suppose -f - 2*h - 1 = 0, -2*f + 25 = -8*h + 3*h. Let v(n) = -n**3 - 10*n**2 + 20*n - 43. Let p be v(-12). What is the greatest common factor of f and p?
5
Let a = 20 + -15. Suppose -a*s + 114 - 39 = 0. Calculate the highest common divisor of 10 and s.
5
Let g(l) = 3*l**2 + 3*l + 42. Let o be g(-10). What is the highest common divisor of 24 and o?
24
Suppose 0 = y - 3. Suppose y*b + 2*b = -10. Let c be (-108)/(-60) + b/(-10). What is the highest common factor of c and 18?
2
Suppose -2*r + 0*r + 115 = -q, 0 = 2*r + 2*q - 118. Let p = r + -28. Calculate the greatest common factor of p and 75.
15
Let j(i) = 40*i + 40. Let l be j(3). Calculate the greatest common factor of l and 5.
5
Suppose -299 = -2*l + 3*z, 0 = 5*l + 3*z - 2*z - 756. Let s be (-2)/(-1 + -1) + -68. Let d = s + l. Calculate the highest common divisor of 12 and d.
12
Suppose -5*c - 2*r + 123 = -3*r, -2*c + 2*r + 54 = 0. Let s = 140 + -104. What is the greatest common divisor of s and c?
12
Suppose 0 = -b - 2*u + 8 + 2, -2*b = 5*u - 17. Suppose -2*g - 3 = -19. Calculate the highest common factor of g and b.
8
Let z = 2 - -10. Suppose -3*h - 33 = -357. What is the greatest common factor of z and h?
12
Let m be 8 + 114/(-14) + (-478)/(-14). Calculate the greatest common factor of 986 and m.
34
Suppose -q = 2*j - 24, -5*q - 4*j = -3*j - 156. Suppose -2*n + q = t, 3*t - 76 = n + 20. Calculate the greatest common divisor of t and 160.
32
Let q = 31 - 22. Let b = 17 - q. What is the greatest common divisor of b and 88?
8
Suppose 3*z - 4*s - 176 = 0, -228 - 44 = -4*z - 4*s. Calculate the greatest common factor of 168 and z.
8
Let g(n) = -11*n - 77. Let v be g(-8). Calculate the highest common divisor of v and 1397.
11
Let f = -431 - -575. What is the greatest common factor of 90 and f?
18
Let l = 7 - 4. Let r = 285 - 284. What is the highest common divisor of r and l?
1
Suppose -6 = m - 12. Let y(f) = f - 6. Let q be y(m). Suppose 0 = 3*i - 3*k - 750, -3*k = -q*i + 3*i - 768. What is the greatest common divisor of i and 23?
23
Let s(j) = -4*j + 9. Let f be s(-10). Calculate the greatest common divisor of 392 and f.
49
Let f = 122 + -122. Suppose f = -2*m + 178 - 66. What is the highest common factor of 14 and m?
14
Let u(z) = -8*z + 107. Let f be u(-5). What is the greatest common divisor of f and 196?
49
Suppose -2*z = 2*u - 674, 3*z + 5*u - 411 - 590 = 0. What is the highest common factor of z and 38?
38
Let k be (2/6)/(2/30). Suppose -26*q + 12 = -24*q. Let f(j) = j**2 - 3*j - 3. Let s be f(q). What is the greatest common divisor of k and s?
5
Suppose -3*i + 9 = -3*l, -3*l + 2*i - 6 = -0*i. Suppose 5*d = 2*d + 69. Suppose l = p - 2*p + d. Calculate the highest common factor of p and 138.
23
Suppose -4*q + 12 = -3*a - 12, -3*a = 4*q. Suppose 6*u + 111 = 27. Let i = a - u. Calculate the greatest common divisor of i and 90.
10
Suppose 2*a - 2*s - 92 = 0, 0 = -5*a + 2*s + 45 + 179. Suppose -2*v + 0*v = -a. Calculate the highest common factor of v and 154.
22
Let j = -705 + 1314. Calculate the highest common factor of 174 and j.
87
Let p be ((-5)/((-10)/(-8)))/(-1). Let d be 30/40 - (-58)/8. Calculate the highest common divisor of p and d.
4
Let x be (5/(-3) - -3)*39. Suppose -j + 3*m + 0*m = -23, 0 = -3*j + m + 77. What is the greatest common divisor of x and j?
26
Let y(t) = -2*t**2 + 8*t + 20. Let m be
|
{
"pile_set_name": "DM Mathematics"
}
|
- r. Solve -5*u - 34 + x = 0 for u.
-5
Let f be (-28)/(-49) + 4/((-84)/(-639)). Solve -11 = 5*l - f for l.
4
Let y(c) be the first derivative of -c**3/3 - 5*c**2/2 - 4*c + 6. Let l be y(-3). Solve -l*f + 5 - 1 = 0 for f.
2
Let r(d) = -d**2 - d + 2. Let o be r(-3). Let w(i) = i**2 + i - 3. Let j be w(o). Let x be (-6)/j - (-34)/6. Solve 3*k - 10 = x*k for k.
-5
Let m(j) = j**2 - 5*j + 5. Let r be m(5). Suppose 0 = r*q - 10. Solve -y = q + 1 for y.
-3
Suppose 2*z - 24 = -4*z. Solve y = z - 2 for y.
2
Suppose 5*s = 4 + 6. Solve s*h + h = -15 for h.
-5
Let l(y) = -y + 0*y**2 - 1 + 3*y**3 - 2*y**3 + y**2 + 0*y**2. Let t be l(-1). Solve 0*v - 3*v = t for v.
0
Suppose 3*v = -2*v + 5. Solve -7 = -2*w - v for w.
3
Let m = 49 - 46. Solve -m*c + 2 = 5 for c.
-1
Let r be (-256)/10 - 4/10. Let m = -37 - r. Let z(i) = i**3 + 12*i**2 + 11*i + 2. Let p be z(m). Solve -v - p = -5 for v.
3
Let d(x) = -x**3. Let a(l) = -7*l**3 + l - 1. Let z(n) = -a(n) + 2*d(n). Let f be z(1). Let v = 1 + 15. Solve f*j + v = j for j.
-4
Suppose 29 = 3*x - 37. Solve -6 = -4*b - x for b.
-4
Suppose -5*q = -5 - 0, -3*q = 5*y - 3. Let o be y/(-1 - 0/2). Solve o*v - v = 5 for v.
-5
Let p(h) = 3*h - 12. Let s be p(4). Solve 2 = 2*j - s*j for j.
1
Let z = -11 - -4. Let j = 12 + z. Solve 10 = -j*p - 10 for p.
-4
Let v be 1/(1/3) + -1. Solve v*t = t - 3 for t.
-3
Let y(c) = -c**2 + 6*c + 5. Let d be y(6). Let z be d/((1 - 0)/1). Let l = -10 + 12. Solve z*n = -l + 27 for n.
5
Let s(t) = -t**2 + 6*t + 6. Let j be s(6). Solve -4*v + 6 = -j for v.
3
Suppose 4*o - 4*v - v - 18 = 0, 3*v + 4 = -o. Solve -2*t = o + 2 for t.
-2
Let f = -7 + 9. Solve 0 = -f*g - 0*g + 10 for g.
5
Let k = 0 - 0. Let g(v) = 2*v**2 - 2*v + 2. Let s be ((-76)/(-28) + -3)*-7. Let n be g(s). Solve 4*z - 2*z - n = k for z.
3
Let j(o) = 2*o - 1. Let s be j(2). Let l be 2*-1 - (-3 - 1). Let w(i) = i**2 - 3*i + 3. Let a be w(l). Solve y + a = -s for y.
-4
Let c(p) = 5*p - 6. Let o be c(3). Solve -2*s - o = -1 for s.
-4
Let o(w) = w**3 + w**2 + 4. Let x be o(0). Let g = -29 + 17. Let v = g - -16. Solve -v*a - x = -2*a for a.
-2
Suppose -3*h - 460 = -5*n, -n - 4*n = 2*h - 435. Suppose 0 = 2*g - 4*g + 10, 4*u + n = -3*g. Let d = u + 37. Solve -3*l - 5 = -d for l.
2
Suppose -5*u - 54 + 19 = 0. Let t = 24 + u. Solve -1 = -4*l - t for l.
-4
Let c = 5 - 5. Suppose -3*b - b + 3*p + 1 = c, 5*p = -3*b + 37. Solve b*f = 6*f for f.
0
Suppose 4*r - 6 = 3*l + r, 5*l = -r + 14. Solve 2*z = -l*z - 8 for z.
-2
Let x = 5 + -8. Let z = 6 + x. Solve -z*j + 2 = -j for j.
1
Suppose o = 5*r + 2*o - 140, r - 28 = 5*o. Let s = r - 14. Suppose 2*m + m + h - s = 0, -3*m - 3*h = -24. Solve 4*b + m = -13 for b.
-4
Let p(i) = i**3 - i + 2. Let a be p(0). Solve r - 6 = -a*r for r.
2
Suppose -2*z = -c - 0 + 28, 8 = c + 2*z. Suppose -3 = s, 48 = l - 5*s + c. Solve 2*m + l = -m for m.
-5
Let d(j) = j**2 - j - 2. Let f(i) = i**2 - i + 3. Let g be f(0). Let u be d(g). Let h = -6 - -6. Solve -q - u = -h*q for q.
-4
Let t = -20 + 22. Solve -w = -t*w - 3 for w.
-3
Let y(j) = j - 7. Let p be y(8). Let k = -2 + p. Let q = k + 9. Solve m + m = q for m.
4
Suppose -3*b + 32 = 4*j, j + 4*b - 25 = -b. Suppose q = -7*u + 2*u + j, 3*u = q - 5. Solve q + 4 = -3*z for z.
-3
Let w = -12 + 19. Let i(c) = -c**3 + 6*c**2 + 10*c - 10. Let m be i(w). Solve 0 = 4*u + m - 3 for u.
-2
Suppose 0 = 5*t + 7*v - 3*v - 14, t - 6 = -4*v. Solve -t*c = 2*c - 12 for c.
3
Suppose 0 = 2*l - 5*y + 15, 3*y = -4*l + 9 - 0. Suppose 7 = w + b, l*w + 60 = 4*w - 4*b. Suppose 0*z = -5*z. Solve 3*v + 4 + w = z for v.
-5
Let t = -21 + 26. Solve -28 + 8 = t*v for v.
-4
Suppose -4*u = -4*x + 8, -u - 5*x + 28 = -0*u. Let n be 1/(-1)*-2 - -14. Solve n = f + u*f for f.
4
Let n be (-2 - (-2 - -3)) + 8. Let i be 4*((-7)/(-4) - -2). Solve 0*k = -n*k + i for k.
3
Suppose 0 = 2*y - 3*m, -4*m = 4*y - 0*m - 40. Solve y*a = 3*a + 9 for a.
3
Suppose -2*n - 2*w + 3*w = -3, 4*n - 27 = -5*w. Solve -n + 4 = -l for l.
-1
Suppose c + 86 - 91 = 0. Solve 2*a + c = -5 for a.
-5
Let a(x) = -x**2 - 8*x - 7. Let g(t) = t - 13. Let h be g(10). Let j be 1 - (0/h - -7). Let d be a(j). Solve 0 = -3*q + d*q for q.
0
Let j = 52 - 50. Solve 0 = j*c + c for c.
0
Suppose -3 = 3*v, 5*t - v + 6 = -8. Let a = -8 - t. Let c(w) = -3*w - 5. Let l be c(a). Solve k + 4*k = l for k.
2
Let a be (-82)/4 + 5/10. Let p be (-1 + 6)*(-8)/a. Solve 3*j = p*j - 2 for j.
-2
Let y = -21 - -46. Solve 0*o + y = -5*o for o.
-5
Let a(m) = m**3 + 4*m**2 + 2. Let q be a(-4). Solve -q*r + 5*r + 12 = 0 for r.
-4
Suppose -3*g + 5 = -0*n + n, -4 = -4*n - 4*g. Let w = 1 + n. Solve v + w = -2 for v.
-2
Let c be 2*-3*4/(-8). Suppose c*v = 7*v - 12. Solve -v = -b - 8 for b.
-5
Let l = -43 + 48. Solve -l = -5*w + 10 for w.
3
Let w = 5 - 3. Suppose -4 = -4*b + w*b. Solve 0 = x + 3 + b for x.
-5
Suppose -4*d - x + 13 = 0, 2*d + 2*x = -2*x - 4. Let g = -1 + 3. Let b = g + 0. Solve d*f + 14 = -b for f.
-4
Suppose 5*t = t + 8. Solve -t*l - 3*l = 5 for l.
-1
Let b = 1 + 2. Let z = 37 + -21. Suppose 3*x + 7 = 4*h, -5*x - 5 = -h - z. Solve -x = -b*w + 6 for w.
3
Let u be (-4)/(-2) - (-14 + 0). Suppose -5*p + 49 = 4*w + 4, 0 = -4*p + 5*w - 5. Suppose 0 = p*l - 3*n - 25 - 12, 25 = l - 5*n. Solve l*f + u + 9 = 0 for f.
-5
Let q(y) = -2*y**3 - 2*y**2 + 2*y + 3. Let u be q(-2). Let p be 5/7 - (-2)/u. Solve -v + 3 = -p for v.
4
Suppose 4*l - 36 = -2*w, -2*w - 2*w + 40 = 4*l. Let m = l - -18. Suppose -2*r + r = 2, 3*r + m = 5*d. Solve 0 = d*t + t for t.
0
Suppose -9*v = -4*v - 25, -j - 5*v + 28 = 0. Solve -1 = -j*u + 2 for u.
1
Let r(v) = v**3 - 10*v**2 + 9*v + 2. Let s(k) = -4*k + 1. Let c(a) = a**3 - 2. Let l be c(0). Let h be s(l). Let u be r(h). Solve u*p + 5 = -1 for p.
-3
Let x(d) = d**3 + 5*d**2 - d - 4. Let v(j) = -j**3 - 5*j**2 - 3*j + 4. Let q be v(-3). Let f be x(q). Solve -2*u + f = -1 for u.
1
Let j be 9/(-1*(-3)/2). Let m = j - 3. Solve q + 2 = m for q.
1
Let k(o) = 2*o**2 + 11*o + 19. Let p(u) = u**2 + 5*u + 9. Let y(f) = -6*k(f) + 13*p(f). Let j be y(0). Solve -m = -j*m for m.
0
Let n = -1 + 9. Let y = n + -8. Solve y = 2*r + r + 15 for r.
-5
Suppose 5*l - 9 = s, 0 = 2*l + 2*s - 4 - 2. Suppose 4*z - 22 = -l. Suppose y - 6*y + 60 = 0. Solve -z*h + y = 2 for h.
2
Suppose 8*l = 5*l. Solve r + 1 + 0 = l for r.
-1
Let k be ((-2)/(1 - 0))/(-2). Let j be 3/(1/(2/3)). Let t = j + k. Solve t*h - 5 = -2 for h.
1
Let n be (-14)/(-10) + 6/(-15). Let m = n - 1. Solve 3*a - a + 10 = m for a.
-5
Suppose -5*b = -5*q - 40, -4*q - 2 = 2*b - 6. Let j be (50/b)/(1/3). Solve -i + j = 4*i for i.
5
Let l(y) = -y - 2. Let z be l(-1). Let v be 2/(-4)*(z + 1). Solve -2*a + 8 = -v*a for a.
4
Let u(m) = -m**2 + 5*m + 8. Let q be u(6). Solve -12 = p + q*p for p.
-4
Let f be (-3)/((-30)/4)*10. Let y = 0 + 0. Solve y = n + f*n for n.
0
Let c(p) = 2*p**2 + 2*p - 2. Let h be c(1). Solve -h*k - 4 = -3*k for k.
4
Suppose 0 = -f - 2*f - j - 1, -2*f - j - 1 = 0. Let i be 2/5 + (-7)/5. Let a be (3 + -3)/(f + i). Solve a = 2*x - 5*x - 3 for x.
-1
Suppose 0*g - 9 = -2*h + g, 5*h = -3*g + 17. Solve 2 = h*o + 14 for o.
-3
Let i be (4/6)/((-8)/(-36)). Suppose 2*c = -m + 9, 36 = i*m - 5*c + 2*c. Solve 5*r + m = -9 for r.
-4
Let v = -7 + 11. Suppose -5*i + v*i + 2 = 0. Let r = 0 + 3. Solve r*a = -i*a + 10 for a.
2
Suppose -m - w = -2*w + 2, -2*w + 18 = 5*m. Let u = 3 - m. Solve -6 = 5*z - u for z.
-1
Suppose 2*s - 4 = s. Suppose 2*h - 6*h = 0. Suppose t - 3*g - 12 = h, 5*g = -s*t + 11 + 3. Solve p + t = -p for p.
-3
Let j be ((-84)/105)/((-2)/5). Solve -j*t + 5 = 13 for t.
-4
Let m = 37 + -31. Solve m = -5*b + 1 for b.
-1
Let j = 2 + 0. Suppose j*t + 2 = 0, -6*v + 5*t = -v - 30. Suppose -2*q + 5 = -d, 4*q = -v*d - 7 + 52. Solve q*r + 13 = -7 for r.
-4
Suppose q + 21 = 5*w, 5*w - 9 = 3*q + q. Solve w*f + 20 = f for f.
-5
Let w(u) = u**3 - 6*u**2 + 2*u - 3. Let c be w(6). Solve 16 + c = 5*q for q.
5
Suppose 3*t + 2*t = 0. Suppose -s - s + 44 = t. Solve 5*q - 7 = -s for q.
-3
Let o = -17 + 12. Let u be (o/2)/(4/(-8)). Solve -u*c - 7 = -2 for c.
-1
Let u(k) be the first derivative of k**3/3 - 5*k**2/2 + 7*k - 2. Let s be u(4). Solve 0 = 4*m + 5 + s for m.
-2
Suppose -19 + 7 = -2*w. Suppose -f = -5*l - 19, -8 - 12 = -2*f + 4*l. Solve 2*r - f*r = w for r.
-3
Let g be (2 - 1)*(5 + (-8)/4). Solve 18 = -g*v + 3 for v.
|
{
"pile_set_name": "DM Mathematics"
}
|
0 divided by -23?
11500
What is 20 divided by 1152?
5/288
Calculate -147400 divided by -11.
13400
What is -227 divided by -156?
227/156
What is -41340 divided by -18?
6890/3
Divide 129069 by 3.
43023
Divide -72 by 138.
-12/23
What is 1436736 divided by 22449?
64
-4950 divided by 9
-550
130 divided by 10
13
Calculate 36 divided by 4924.
9/1231
3 divided by 278757
1/92919
Divide 4005575 by 7.
572225
What is 33108 divided by 1068?
31
Divide -7008417 by -4383.
1599
68646 divided by -34
-2019
What is 1 divided by -7062?
-1/7062
What is 5524 divided by -9?
-5524/9
What is -2018 divided by 237?
-2018/237
Divide 792 by 331.
792/331
-40244 divided by -10
20122/5
Calculate -217512 divided by -2052.
106
What is 517005 divided by -103401?
-5
Calculate -45559 divided by -6.
45559/6
Divide -106 by 383.
-106/383
Calculate -369397 divided by 52771.
-7
What is -48187 divided by -8?
48187/8
7964 divided by 362
22
Calculate -19867 divided by -37.
19867/37
-3 divided by 31440
-1/10480
Divide 8547 by -4.
-8547/4
What is -118424 divided by -4?
29606
Divide 854743 by -1.
-854743
Calculate 4 divided by -385200.
-1/96300
What is -27690 divided by -1065?
26
Calculate -8 divided by -288850.
4/144425
What is 2501 divided by -48?
-2501/48
5934124 divided by 2
2967062
Calculate -198524 divided by -62.
3202
What is 13680 divided by -6840?
-2
What is 65712 divided by -3?
-21904
Divide -42529 by 71.
-599
Calculate 1952115 divided by -5.
-390423
What is -126084 divided by 3318?
-38
Calculate -14326 divided by -377.
38
Divide 45168 by -15056.
-3
Divide 3464322 by 3.
1154774
Divide 12600 by 20.
630
1 divided by -9917
-1/9917
Divide 1093 by 190.
1093/190
What is -9 divided by -69385?
9/69385
Calculate -203 divided by 94.
-203/94
-7340 divided by 2
-3670
What is 143307 divided by 2?
143307/2
Calculate 309870 divided by -51645.
-6
What is 318375 divided by 3?
106125
Divide 53100 by -19.
-53100/19
Divide -231984 by 162.
-1432
Calculate 5 divided by 6368.
5/6368
What is 12720 divided by -53?
-240
Calculate 21 divided by -760.
-21/760
Calculate -356848 divided by 16.
-22303
Calculate -45 divided by -9061.
45/9061
Divide -4767 by -3.
1589
Divide 440130 by 2.
220065
Calculate 17907 divided by -381.
-47
-1429934 divided by 11
-129994
155394 divided by 97
1602
Divide 1572 by 131.
12
88 divided by 7340
22/1835
Calculate -3223400 divided by 11350.
-284
What is -422088 divided by 4?
-105522
What is -147147 divided by 7?
-21021
What is -47 divided by -9148?
47/9148
437936 divided by -4
-109484
Divide 0 by -12602.
0
What is 1640 divided by -932?
-410/233
52 divided by 56157
52/56157
What is -116275 divided by 4651?
-25
Calculate -16414 divided by -29.
566
Divide 1939767 by -3.
-646589
Divide 797 by -139.
-797/139
What is 856715 divided by -5?
-171343
1147086 divided by -3
-382362
Divide 28110 by 5622.
5
Calculate 38472 divided by -3.
-12824
What is 49831 divided by 6?
49831/6
64080 divided by -6
-10680
Divide -655204 by 29782.
-22
What is -54729 divided by -7?
54729/7
Divide 2 by -25135.
-2/25135
What is 563035 divided by 112607?
5
Calculate -4389 divided by -21.
209
Divide -7970 by 5.
-1594
What is 167850 divided by 2?
83925
What is 388 divided by -734?
-194/367
Calculate 642640 divided by 4.
160660
Divide -224846 by -224846.
1
Divide 405337 by 1.
405337
-29 divided by 14186
-29/14186
What is 2291436 divided by -1299?
-1764
-2 divided by 1055292
-1/527646
Divide 5 by 20712.
5/20712
Calculate 295536 divided by -524.
-564
-7074 divided by -1179
6
Divide -819570 by 1607.
-510
Calculate -59 divided by -14113.
59/14113
Calculate 67 divided by 3626.
67/3626
Divide -941 by -59.
941/59
Divide -285443 by 8.
-285443/8
Divide -9387 by -131.
9387/131
What is 4 divided by 96970?
2/48485
Calculate -492268 divided by -28.
17581
What is 3922 divided by 323?
3922/323
Calculate -124236 divided by 102.
-1218
Divide -76475 by -4025.
19
What is -1378 divided by -1378?
1
What is -57074 divided by 6?
-28537/3
Calculate -15 divided by -388.
15/388
-2734251 divided by -13
210327
Calculate -4 divided by 75888.
-1/18972
What is 918950 divided by -183790?
-5
Divide -4 by -22345.
4/22345
Calculate -350265 divided by 5.
-70053
Divide 5200125 by -849.
-6125
Divide 3075 by 625.
123/25
5233 divided by -6
-5233/6
Calculate -839300 divided by -119900.
7
Calculate -30471 divided by -21.
1451
What is 533588 divided by -724?
-737
Calculate 3648216 divided by -13.
-280632
Calculate -98214 divided by 2.
-49107
Calculate -69615 divided by 819.
-85
Calculate -139 divided by -817.
139/817
-5 divided by 29694
-5/29694
What is 25308 divided by -36?
-703
Divide -1706748 by -4.
426687
Calculate 147992 divided by 18499.
8
Calculate -4585 divided by 6.
-4585/6
3 divided by 265778
3/265778
-16984 divided by 1544
-11
52640 divided by 10528
5
What is -2419 divided by 22?
-2419/22
-3 divided by -20416
3/20416
What is -890028 divided by -10988?
81
What is 32662 divided by 7?
4666
Divide 4354 by 715.
4354/715
-4288788 divided by 34038
-126
Divide 3 by 4958.
3/4958
8339 divided by 52
8339/52
Divide 1 by -90835.
-1/90835
-14399 divided by -119
121
Calculate 0 divided by -45146.
0
10664 divided by 5
10664/5
Calculate 230004 divided by -2.
-115002
What is -3 divided by -6121?
3/6121
Divide -22 by 4492.
-11/2246
What is -8036 divided by 7?
-1148
What is -3 divided by -15125?
3/15125
31 divided by 1370
31/1370
What is -3948906 divided by -6?
658151
Calculate -8 divided by 266347.
-8/266347
What is -5928 divided by 6?
-988
Divide -4 by 7952.
-1/1988
What is -33 divided by 13263?
-11/4421
What is 3 divided by -133?
-3/133
Calculate 0 divided by -90526.
0
-4 divided by -480
1/120
What is 2 divided by 12064?
1/6032
122184 divided by -9
-13576
Divide 1310622 by 436874.
3
Calculate 46240 divided by 11560.
4
Calculate -3096 divided by -64.
387/8
232452 divided by -25828
-9
Divide 603986 by -1.
-603986
-48 divided by -12579
16/4193
Divide -35197 by 9.
-35197/9
What is -44320 divided by -11080?
4
Divide 27470 by 2.
13735
-11190 divided by -15
746
Divide -74490 by 2.
-37245
Divide 41452 by 4.
10363
Divide 120820 by 10.
12082
Calculate 78428 divided by -1.
-78428
Divide -1 by -103122.
1/103122
Divide -6747 by 4.
-6747/4
What is -7651288 divided by 956411?
-8
6 divided by 4933
6/4933
Divide -12041 by 85.
-12041/85
Calculate 11359 divided by -5.
-11359/5
What is 9 divided by -65431?
-9/65431
Calculate -168300 divided by 90.
-1870
-28545 divided by 15
-1903
Calculate 69 divided by -6882.
-23/2294
Divide -847720 by -40.
21193
What is 130735 divided by -2?
-130735/2
What is -3 divided by 7293?
-1/2431
0 divided by 1184222
0
What is -2596 divided by 108?
-649/27
-149 divided by -500
149/500
Divide 132984 by -24.
-5541
What is -8927 divided by -25?
8927/25
Divide -11 by 9233.
-11/9233
Calculate -846 divided by 586.
-423/293
73689 divided by -3
-24563
Calculate 155436 divided by -6.
-25906
What is 211620 divided by 17635?
12
Divide 2829 by 50.
2829/50
Divide 40834 by -6.
-20417/3
What is -88769630 divided by 5?
-17753926
251160 divided by -5460
-46
2438 divided by 980
1219/490
-1640 divided by 162
-820/81
What is 6412488 divided by 2?
3206244
3180 divided by -10
-318
Divide 44 by -43775.
-44/43775
2153 divided by 10
2153/10
Calculate -1 divided by -540048.
1/540048
1 divided by 6047
1/6047
Calculate -8 divided by 303110.
-4/151555
Divide -164732 by 6.
-82366/3
60656140 divided by 5
12131228
5 divided by 54481
5/54481
Divide 2 by -170030.
-1/85015
2834 divided by 559
218/43
What is -571938 divided by 5017?
-114
-381620 divided by -12
95405/3
What is -64432 divided by -16?
4027
What is 168 divided by 1?
168
Calculate -43839 divided by -3.
14613
Divide 11 by -277092.
-11/277092
-287 divided by -786
287/786
1970814 divided by -1
-1970814
Calculate -166878 divided by 73.
-2286
Divide 242847 by -7359.
-33
What is 35 divided by 47?
35/47
Calculate -27711 divided by 9237.
-3
Divide 2108568 by 7.
301224
Calculate 8320 divided by -10.
-832
Calculate 59740 divided by -290.
-206
Calculate 21 divided by -1241.
-21/1241
Calculate -6 divided by -38.
3/19
Divide 1151649 by 369.
3121
Calculate 131859 divided by 2691.
49
What is 54688 divided by -54688?
-1
What is 199895 divided by -2?
-199895/2
What is 2 divided by 51496?
1/25748
What is 3 divided by 20450?
3/20450
What is -45236 di
|
{
"pile_set_name": "DM Mathematics"
}
|
in -1, 3, p?
-1
Let w(j) = 2*j - 2 - 3 - 2. Let f(o) = -o**2 - 8*o - 1. Let t be f(-7). Let q be w(t). Which is the biggest value? (a) 4 (b) 0.1 (c) q
c
Let x = -11.3 + 13.3. Let i = 0.04 + 0.01. Let h = i + 0.95. What is the second smallest value in x, h, 5?
x
Let m = -10667 - -64001/6. Let i = -1 - 1. What is the fourth smallest value in 0.3, m, i, -4?
0.3
Let r = 0.19 + 0.21. Let k = -23/18 + 62/45. Which is the third smallest value? (a) r (b) 4/3 (c) 5 (d) k
b
Let d = -23 + 1086/47. What is the smallest value in d, -2/3, 0.3?
-2/3
Let q = 448 - 456. Which is the second smallest value? (a) -0.1 (b) -2 (c) q
b
Let m = -186 - -186.3. Which is the fourth smallest value? (a) -0.5 (b) -0.2 (c) m (d) 24
d
Let x = -6.31 - -10.31. What is the smallest value in -5/3, -1/3, 2/27, x?
-5/3
Let m = -13 + 9. Let h = -946 - -947. Which is the smallest value? (a) h (b) m (c) 1/4
b
Let s = 7.673 + -0.673. Let b = -9.6 - -1.6. Let v = -8 - b. What is the second biggest value in s, 5, v?
5
Let w be -4 - (-32 - (-4 - -7)). Let m = w - 61/2. Which is the second smallest value? (a) -4 (b) 6 (c) m (d) 2/7
d
Let r = 0.2 + 0.3. Let t be (1 - -1)/(23/3). Let g = t - 1/92. What is the third smallest value in 2, r, g?
2
Let p(x) be the second derivative of x**3/6 - x**2/2 + 3*x - 7. Let s be p(0). Which is the second biggest value? (a) -1.6 (b) s (c) 0.5
b
Let f = -30.848 + 0.048. Let p = 31 + f. What is the third smallest value in 5, 2/9, p, -2/7?
2/9
Let u = 25 + -30. Which is the third smallest value? (a) -2 (b) u (c) 1/2 (d) 3/11
d
Let f = 878.84 - 879. Which is the smallest value? (a) f (b) -1 (c) -0.2 (d) -3/4
b
Let t be 24934/(-102) - 3/(-9). Let d = t + 244. Let g = 147 - 150. Which is the biggest value? (a) 5 (b) d (c) g
a
Suppose 0 = -b - 0 - 1. Let t(n) = -n**3 - 3*n**2 + 3*n - 5. Let k be t(-4). Let m be 2/k*(-27)/18. What is the third biggest value in m, -5, b?
-5
Suppose 3*b + 1 - 7 = 3*d, 5*b + 4 = -2*d. Let k = -20/9 + 31/18. What is the second smallest value in 3, -3, k, b?
k
Let l = -2409 - -2413. Which is the second biggest value? (a) l (b) -3/2 (c) 68 (d) 0.2
a
Let g = -37/129 - 2/43. Which is the fourth biggest value? (a) -2/161 (b) 3 (c) g (d) 1
c
Let u = -21.9 + 21.8. What is the smallest value in -6, u, -0.4?
-6
Let j = 0.8 + -1.3. Let h = -45 + 44.961. Let r = h - -0.439. Which is the second smallest value? (a) j (b) r (c) -0.02
c
Let c be 0/(((-2)/4)/((-2)/12)). Let b be c + 2/5 - (-11 + 11). What is the smallest value in 1, 16, b?
b
Let s(x) = -x**3 + 5*x**2 - 5*x - 1. Let y be s(4). Let z = -0.027 - 7.973. Let f = z + 11. What is the smallest value in 0.1, f, y?
y
Let j be 68/(-306) + -1 + (-5)/(-63). What is the smallest value in j, 0.1, -2/7?
j
Let y(m) = 2*m**2 - m - 10. Let v be y(-5). Let z be 12/15*v/(-2). Let s be 13/(-5) - z/(-45). Which is the second smallest value? (a) s (b) -2 (c) -1/3
b
Let p = 2119/133 + -585/19. Which is the third biggest value? (a) p (b) -2/3 (c) 4
a
Suppose 4*t - 21 = -25. Let f be 1*t/(-4)*(-32)/24. What is the biggest value in 5, -4, f?
5
Let z = -2206.367 + 2207. Which is the second smallest value? (a) z (b) 0.2 (c) 0
b
Let d be (-4)/5*(-10)/(-2). Let x be (-481)/(-37) - (0 + 11). Which is the biggest value? (a) d (b) x (c) -6
b
Let g be (11 + -2)*11/(-33). What is the smallest value in g, 1, 0.07?
g
Let j = -0.185 - -135.185. Let x = -134.9 + j. What is the second smallest value in x, -0.1, -5, 4?
-0.1
Suppose -g = -5*z + 81, 0*g - 3*g = 3. Suppose -10 = z*q - 21*q. What is the third smallest value in q, -1/5, -2/5?
q
Let m = -2789.1 - -2789. Suppose 0*k = -5*k + 20. Which is the second biggest value? (a) m (b) k (c) -0.08
c
Suppose 3*h = -0*s - 2*s - 250, -5*h + 5*s - 400 = 0. Let r = 137 + h. Let v = -223/4 + r. Which is the third biggest value? (a) -0.4 (b) v (c) -2/17
b
Let w = -0.4 - -0.3. Let u = 19.41 + -0.41. Let n = u - 19.3. Which is the third biggest value? (a) w (b) 0.1 (c) n
c
Let g be 9 - (-6 + 16) - (-5)/4. What is the second smallest value in -2/25, g, -2, 4?
-2/25
Let j = -0.01689 - -0.51689. Suppose 2*l - 5*c = -3*l - 60, -4*l + 5*c = 47. What is the biggest value in j, l, -1/2?
j
Let r = -45.0112 + -0.0888. Let y = r - -45. Let l = 4 + -7. Which is the second biggest value? (a) -1 (b) y (c) l
a
Let i = -0.111 - 150.889. Let y = i - -146. Which is the third smallest value? (a) -3 (b) y (c) 5
c
Let x = -3.1 - -3. Let h = -0.037 + -6.763. Let v = h + 6.6. What is the biggest value in x, -3/4, v?
x
Let t = 0.2179 + -2.0179. Which is the second smallest value? (a) -2/3 (b) t (c) 3/4
a
Let h be 2/6*1*18. Suppose -3*p = -5*p + h. Suppose 4 = -2*f + p*r - 6, 5*f + 3*r - 17 = 0. Which is the third biggest value? (a) 4/3 (b) -2 (c) f
b
Let m = 605 + -610. What is the third smallest value in m, 1/58, 1/8?
1/8
Suppose 4*t = 2*q + 84, 0 = q + 4. Let w = t + -25. Let s = -0.8 + 1.3. What is the second biggest value in -0.3, w, s?
-0.3
Suppose 4*l + 28 = 6*h - 2*h, 0 = -h - 4*l + 7. Suppose 4*b = h*b. Let s = -0.991 - 4.009. What is the third smallest value in s, -3, b?
b
Let t = -306 - -306.2. Let z = -9/20 - -1/5. What is the biggest value in t, -0.5, z, -3?
t
Let g = 1205/88 - 111/8. Which is the third smallest value? (a) g (b) 17 (c) -4
b
Let n = -16 - 0. Let t = n + 16. Let r be (-12)/(-28) - (-66)/(-56). Which is the third smallest value? (a) -6 (b) r (c) t
c
Let s = 0.14 - -0.06. Let z be (-4 - -3)*(-7)/77. Which is the smallest value? (a) s (b) 4 (c) z
c
Let i(o) = -o**3 - 30*o**2 + 28*o - 94. Let c be i(-31). What is the third biggest value in c, -2/3, -0.36?
c
Let r = 35 + -34.46. Let u = 0.04 - r. What is the smallest value in 3, 5, u, -2?
-2
Let k = -50 - -92. Let r = 40 - k. What is the fourth biggest value in 1/6, r, 4, -1?
r
Let v(k) = -k**3 - 9*k**2 + 7*k - 14. Let m be v(-10). Let g be 0 - 1 - (m + 5). Let d = g + 20. Which is the second biggest value? (a) -1/6 (b) d (c) -0.2
c
Suppose -165 = 3*z + 57. Let f = z + 82. Which is the second smallest value? (a) f (b) -0.3 (c) 0 (d) 3
c
Let v(l) = 6*l - 15. Let f be v(3). What is the smallest value in 4, f, -36?
-36
Let d = -1.5 + 1. Let m be (-5 + 4)*(-2)/(-6)*(-6)/(-6). What is the third smallest value in d, -5, m?
m
Suppose -2*h = s - 0 + 3, -h + s = 3. Let l be h/(-10)*(-75)/10. Which is the second smallest value? (a) 3 (b) -2/3 (c) l
b
Let f = -95 + 92. Which is the second biggest value? (a) 1.2 (b) f (c) -0.09
c
Let z = -111 - -110. Let h be (-2)/(-4) - (-27)/6. Let l be 2/6 + h/(-15). Which is the second biggest value? (a) l (b) 2/19 (c) z
a
Suppose 8*v + 44 = -100. What is the second biggest value in v, 2, 2/13?
2/13
Suppose 2*l + u + 16 = -3*u, 12 = -4*u. Let j be 2 - (-16 - 2) - 2. Which is the second smallest value? (a) j (b) 5 (c) l
b
Let k = 0.481 + -0.081. What is the third smallest value in 2, 5, k?
5
Let n = 40.9 - 35.9. Let m = 19/184 + 1/46. Which is the smallest value? (a) 2 (b) n (c) m
c
Let u = -28.933 + -0.067. Let h = u - -26. Which is the second biggest value? (a) h (b) -3/5 (c) 2
b
Let p = -8526 - -8525.99. Let y = 0.25 - -0.85. Let x = y + -1. Which is the second smallest value? (a) -1 (b) p (c) x
b
Let u = -13954/3 - -4732. Suppose 4*f = 46 - 366. Let x = f + u. Which is the third smallest value? (a) x (b) -0.1 (c) 0.5
a
Let y = 956 + -955. Which is the biggest value? (a) 1/6 (b) 2/155 (c) y
c
Let w = 53/152 - 9/19. Let f = 0 + -0.1. Let t = -0.456 - -0.056. What is the second smallest value in t, w, f?
w
Let n(i) = -3*i + 3*i + 1 + 2*i. Let o = -44 + 46. Let r be n(o). What is the third biggest value in r, 0.1, -1?
-1
Let v = 326 - 1628/5. Which is the smallest value? (a) 8.1 (b) -0.3 (c) v
b
Let p = 5.5 - 0.5. Let x = -14 - -15. Let r = x - -2. What is the biggest value in r, p, 0.5?
p
Suppose 2*r - 8 = -0*r, 4*r - 41 = -5*a. Suppose a*b = 2*b + 3. What is the second biggest value in 3, -6, b?
b
Let f be 5/4 - (803/44 - 18). Which is the biggest value? (a) -1 (b) 5 (c) 1/9 (d) f
b
Let v = -1 - 4. Which is the second smallest value? (a) -0.4 (b) -1/14 (c) v (d) 0.3
a
Let s = -172.19 + -1.81. Which is the second biggest value? (a) -2/3 (b) 0.2 (c) -4 (d) s
a
Let g = -276 -
|
{
"pile_set_name": "DM Mathematics"
}
|
Multiply 95.4 and -0.145.
-13.833
760.6 * -5.34
-4061.604
Product of 4129 and 32013.
132181677
Product of -670378 and -50.
33518900
What is 3.042 times 206.19?
627.22998
What is the product of -5 and -38.4699?
192.3495
Work out -0.1 * 36499326.
-3649932.6
-1228 times 12.2
-14981.6
Calculate 46266.4523*4.
185065.8092
15.320208 * 33
505.566864
Work out -0.2 * 1.12820559.
-0.225641118
What is the product of -0.54 and -10133?
5471.82
What is -855176 times 9?
-7696584
0.08*-220650.5
-17652.04
Calculate 614153*80.
49132240
What is the product of 73 and -1719.4?
-125516.2
Product of 0.5 and -2037450.2.
-1018725.1
-0.395093 times 0.0456
-0.0180162408
Product of -789 and -0.04646.
36.65694
Multiply -3250 and -824.
2678000
Product of 137 and -6141335.
-841362895
What is -0.5 times -130.4859?
65.24295
380 times 334123
126966740
Work out -8459689 * 0.3.
-2537906.7
What is -24.2 times 218654?
-5291426.8
Multiply 1839262 and -0.1.
-183926.2
What is the product of 1496 and -0.39509?
-591.05464
Product of -6 and 0.463821.
-2.782926
What is -8405066 times 12?
-100860792
-7793783 * 0.4
-3117513.2
-355.1141 times -4
1420.4564
Calculate -1.5*0.07175985.
-0.107639775
0.111 times -0.068262
-0.007577082
What is -199204 times 0.22?
-43824.88
Product of 23.2 and -1471804.
-34145852.8
What is -301 times 1821391?
-548238691
Work out 12 * -58.275771.
-699.309252
-1421277 times 0.7
-994893.9
Product of -0.04918 and -24.88.
1.2235984
-279*76045.4
-21216666.6
-45 times 61544
-2769480
-212875886 * -0.2
42575177.2
What is -0.077 times 365404?
-28136.108
-0.249692555 * -4
0.99877022
Multiply -1337104 and -43.
57495472
Calculate -6*741301.3.
-4447807.8
Multiply -0.04 and 202.0909.
-8.083636
Work out -2866.24 * -0.1139.
326.464736
Product of -31.2517 and 106.
-3312.6802
Multiply 0.10011 and -417.59.
-41.8049349
-77 times 902717
-69509209
6*-938353
-5630118
Work out 359 * -4.002.
-1436.718
What is 2.54503575 times -2?
-5.0900715
What is the product of 0.063228558 and 1?
0.063228558
Calculate -9989.5*0.009.
-89.9055
Product of 0.1 and -154.74099.
-15.474099
Multiply -3718 and 57318.
-213108324
Multiply 4425171 and 0.
0
Product of -0.519313 and -8.
4.154504
What is -0.101 times -10.0203?
1.0120503
What is the product of 851503 and -6?
-5109018
What is the product of 29.9522 and -0.62?
-18.570364
Multiply -12881425 and -4.
51525700
0.09*-490068
-44106.12
-0.1 * -1295203
129520.3
-0.06600078*0.054
-0.00356404212
What is -635334 times -7?
4447338
Product of -5861 and 0.01414.
-82.87454
What is -59260.7 times -0.48?
28445.136
Product of -340.7 and -4.965.
1691.5755
-0.05 times -21998.1
1099.905
Work out -39519551 * 5.
-197597755
Work out -0.01776244 * 2.
-0.03552488
Multiply 13 and -718974.
-9346662
Work out -0.1401241 * -0.4.
0.05604964
Multiply 5153.1 and -108.9.
-561172.59
Calculate -200.4107*-21.
4208.6247
1661813.2 times -0.08
-132945.056
What is 9 times -46729800?
-420568200
Multiply 0.2357 and 1167.
275.0619
-9056 times -0.09893
895.91008
11 times -9.931172
-109.242892
5*274.57
1372.85
Multiply 1832.0203 and 0.5.
916.01015
Calculate -96.351817*-5.
481.759085
Work out 12.2 * 946.87.
11551.814
Multiply 0.03251 and 15500.
503.905
Multiply 0.04 and 2.2093277.
0.088373108
What is 975 times 19594.3?
19104442.5
Multiply 8789 and -0.008283.
-72.799287
Product of -1 and 1.17348909.
-1.17348909
-0.18 times -308.859
55.59462
What is the product of -48.9 and 1.84974?
-90.452286
-4546 times -8804
40022984
Multiply -261 and -25.3266.
6610.2426
6262 times -3.66
-22918.92
Work out 368.413 * 0.1422.
52.3883286
What is 2038030 times 0.2?
407606
What is -22 times 18409865?
-405017030
279 times 1.45
404.55
-0.8 times -373.9812
299.18496
Product of 5513 and 0.9501.
5237.9013
-22706 * -80
1816480
Multiply -2397.0875 and -5.
11985.4375
What is -0.09524 times 564?
-53.71536
2178 * 2.045
4454.01
What is the product of -14323 and -1106?
15841238
0.03 times 0.2069499
0.006208497
0.5*-105210156
-52605078
Product of -11690.86 and 0.14.
-1636.7204
3.5*128419
449466.5
What is the product of -4 and -0.04973934?
0.19895736
-0.4 * 230.9165
-92.3666
Multiply -13 and 92671.7.
-1204732.1
-13793*313.24
-4320519.32
What is -45870 times -22?
1009140
Product of -5696 and -24390.
138925440
Work out 0.46 * -840628.
-386688.88
1.8552345 times 4
7.420938
Product of 212571.917 and 0.4.
85028.7668
Work out -1889 * 10768.
-20340752
448013 * -173
-77506249
What is the product of -2307 and -1945.51?
4488291.57
16.34522 * 1
16.34522
What is the product of 0.0088 and -48835?
-429.748
Multiply 0.0232 and -408.3.
-9.47256
What is 46 times -0.0766257?
-3.5247822
11751513*-9
-105763617
What is 4.9 times 2.069309?
10.1396141
What is 1418231 times -0.5?
-709115.5
-22569.9*-0.5
11284.95
What is -282952 times -4?
1131808
-504184*8
-4033472
-0.2 times -122784971
24556994.2
What is the product of -841.7 and -10.155?
8547.4635
Calculate -8.1201*-0.58.
4.709658
Calculate 1.037*12107.
12554.959
Product of 1068 and -58879.
-62882772
Work out 0.29541 * -1239.
-366.01299
What is the product of 5.14112 and 920?
4729.8304
Product of 2.65 and 655197.
1736272.05
-1086 times 432
-469152
Calculate 2*-326.972205.
-653.94441
What is the product of 102681625 and 0.4?
41072650
What is 137483 times 12.93?
1777655.19
-14652168 * 0
0
What is the product of 10230 and 15912?
162779760
Calculate -7593718*2.
-15187436
5805602*-0.23
-1335288.46
8*-18596827.5
-148774620
Multiply -776614.178 and -2.
1553228.356
-1.3*4176.76
-5429.788
What is -0.19908424 times 4?
-0.79633696
What is the product of 148146980 and -5?
-740734900
What is 191072.53 times 0?
0
Multiply -0.03875 and -0.409.
0.01584875
Product of -7 and -6.67883.
46.75181
Product of -4 and -2086738.5.
8346954
Multiply -8 and -5920201.
47361608
-0.21 times -371561
78027.81
Calculate -0.06*-1659154.
99549.24
3923190 times -10
-39231900
Work out 2 * -70.99395.
-141.9879
-33.161 * 5.564
-184.507804
What is the product of 0.74381177 and 1?
0.74381177
What is the product of 0.57 and 6647296?
3788958.72
-5 * 16309792
-81548960
Work out 34738 * 1.1825.
41077.685
Product of 5 and -17332728.
-86663640
Calculate -140*-6237.8.
873292
25639443 * -4
-102557772
-0.1 times 11.13535
-1.113535
3 times 101349130
304047390
Work out -0.04 * -20424.93.
816.9972
What is the product of -64.86 and 8231?
-533862.66
What is the product of -762.3 and -24221?
18463668.3
Work out 1644635 * -0.05.
-82231.75
-4*0.26893692
-1.07574768
What is 17192064 times 0.17?
2922650.88
Multiply -0.04 and 2338899.
-93555.96
What is 1866.86 times -26?
-48538.36
Calculate -38*-312393.
11870934
What is 0.5 times -40699399?
-20349699.5
-24.46517 * -0.03
0.7339551
Calculate -5079.3692*16.
-81269.9072
Product of -956 and 1008.
-963648
Multiply -2.619924 and 0.6.
-1.5719544
-299821.17 * -0.1
29982.117
6.17 times -387.05
-2388.0985
What is -5 times -102395.5?
511977.5
Calculate 573*-0.2079.
-119.1267
1.64392 times 0.09
0.1479528
What is the product of -0.8 and -18504028?
14803222.4
Calculate 443590*-89.4.
-39656946
-14615 * 0.0757
-1106.3555
Product of -750946279 and -0.2.
150189255.8
-83.16 times -0.061287
5.09662692
Work out 209.3987 * -17.
-3559.7779
Work out -3 * 320477.4.
-961432.2
Work out -0.11 * -938541.
103239.51
145*22.8599
3314.6855
What is the product of 2 and 1752229?
3504458
Product of -7 and -87445.2.
612116.4
Work out -10 * 502866.
-5028660
0*1405793
0
What is the product of 109 and -7.371?
-803.439
What is -1 times 851462?
-851462
What is the product of 0.0387 and -12.03?
-0.465561
Calculate 0.17338*61.5.
10.66287
Work out 6974659 * 0.03.
209239.77
Multiply -766575 and 425.
-325794375
-0.5*-2498290.3
1249145.15
Calculate 100116*21.6.
2162505.6
Multiply -3832644 and -0.29.
1111466.76
What is the product of 0.1 and 604.9119?
60.49119
-24.1021322 * -0.3
7.23063966
Multiply -45231347 and -6.
271388082
What is -1482738 times 0.083?
-123067.254
Calculate 2*0.3658285.
0.731657
4263332*-3
-12789996
Multiply 0.9096086 and 0.1.
0.09096086
Work out 4 * 30321998.
121287992
What is 35 times 3356471?
117476485
Calculate -13718*-16904.
231889072
Product of -1 and 1464435.
-1464435
Multiply 157628 and -965.
-152111020
What is -1545 times 696847?
-1076628615
What is the product of -7003 and 15.2281?
-106642.3843
What is 68 times 4644?
315792
Calculate 23
|
{
"pile_set_name": "DM Mathematics"
}
|
ere in one twentieth of a litre?
50
What is 3/5 of a kilometer in meters?
600
What is 3/5 of a kilometer in meters?
600
How many micrograms are there in 101.2588 milligrams?
101258.8
How many meters are there in fifty-two fifths of a kilometer?
10400
How many millilitres are there in 9500.543 litres?
9500543
How many milligrams are there in 2042.613 tonnes?
2042613000000
How many millimeters are there in 3/50 of a kilometer?
60000
What is five quarters of a meter in millimeters?
1250
How many millennia are there in 22331.73 years?
22.33173
Convert 741.5018 milligrams to grams.
0.7415018
What is seven sixteenths of a kilometer in centimeters?
43750
How many centuries are there in 0.6941882 years?
0.006941882
How many micrometers are there in thirty-one fifths of a millimeter?
6200
Convert 168.4248 millennia to months.
2021097.6
Convert 756.1992 millimeters to kilometers.
0.0007561992
What is 1/6 of a day in hours?
4
How many weeks are there in 537.076512 minutes?
0.0532814
Convert 0.0139497km to meters.
13.9497
What is 0.3242456 microseconds in seconds?
0.0000003242456
Convert 736.971m to millimeters.
736971
What is 65810.44 meters in kilometers?
65.81044
Convert 70669.47 meters to kilometers.
70.66947
What is 0.508364ml in litres?
0.000508364
Convert 0.9997328 micrometers to nanometers.
999.7328
What is 52/5 of a meter in millimeters?
10400
How many millilitres are there in thirteen quarters of a litre?
3250
What is seven quarters of a week in hours?
294
What is seven quarters of a milligram in micrograms?
1750
What is 838.6517 years in millennia?
0.8386517
How many micrometers are there in 482.3436km?
482343600000
How many seconds are there in 1743.447 milliseconds?
1.743447
How many millilitres are there in 27/2 of a litre?
13500
Convert 50.61831t to nanograms.
50618310000000000
Convert 47.54475ms to microseconds.
47544.75
How many kilograms are there in 45.23082g?
0.04523082
How many hours are there in 8/3 of a day?
64
What is three tenths of a century in years?
30
How many milliseconds are there in 1/4 of a minute?
15000
What is 3/50 of a milligram in nanograms?
60000
How many millimeters are there in 3/50 of a meter?
60
How many millilitres are there in 60.0951 litres?
60095.1
Convert 211.7402 nanograms to kilograms.
0.0000000002117402
What is four thirds of a hour in seconds?
4800
What is 2035.686 centuries in millennia?
203.5686
What is 3/16 of a day in minutes?
270
How many seconds are there in 19849.38 weeks?
12004905024
What is 633.8724 millennia in years?
633872.4
What is 1/10 of a century in decades?
1
What is seventy-five halves of a decade in years?
375
What is 366751.3 tonnes in milligrams?
366751300000000
How many micrometers are there in 306127.6 meters?
306127600000
How many decades are there in 198567.93 months?
1654.73275
How many hours are there in 1/4 of a day?
6
What is 4/3 of a hour in minutes?
80
What is 0.9506931 centuries in months?
1140.83172
What is 29/5 of a centimeter in millimeters?
58
How many nanograms are there in seven quarters of a microgram?
1750
What is 2.803515ng in kilograms?
0.000000000002803515
How many meters are there in eleven halves of a kilometer?
5500
Convert 4181.473 millimeters to micrometers.
4181473
What is seven quarters of a litre in millilitres?
1750
Convert 6.89613 nanograms to grams.
0.00000000689613
What is 1/27 of a week in seconds?
22400
What is 3.968242ms in microseconds?
3968.242
How many years are there in fourty-three halves of a decade?
215
Convert 312.69906us to hours.
0.00000008686085
Convert 1401.216 years to months.
16814.592
How many years are there in 550936.3 centuries?
55093630
Convert 914.1815 kilometers to nanometers.
914181500000000
How many centimeters are there in one twentieth of a kilometer?
5000
How many minutes are there in 29/2 of a day?
20880
How many nanograms are there in 43532.71 milligrams?
43532710000
How many millennia are there in 750.98 decades?
7.5098
How many minutes are there in 2665579.2ns?
0.00004442632
What is eighty-seven halves of a day in minutes?
62640
What is 21/2 of a tonne in kilograms?
10500
What is fourty-nine fifths of a millimeter in micrometers?
9800
What is 1.2048 millilitres in litres?
0.0012048
How many millilitres are there in three fifths of a litre?
600
How many minutes are there in 2502140.7us?
0.041702345
Convert 32.43253mm to centimeters.
3.243253
How many centuries are there in 4881.606 millennia?
48816.06
Convert 52.1696ml to litres.
0.0521696
What is 0.87111m in kilometers?
0.00087111
What is seven quarters of a millennium in months?
21000
Convert 0.268642 years to months.
3.223704
What is 6/5 of a centimeter in millimeters?
12
How many minutes are there in 6/5 of a day?
1728
How many years are there in thirty-four fifths of a decade?
68
What is eight thirds of a week in hours?
448
What is eleven quarters of a century in months?
3300
How many decades are there in 25/2 of a century?
125
Convert 0.775815 minutes to nanoseconds.
46548900000
What is 196.63065 milliseconds in minutes?
0.0032771775
What is five eighths of a litre in millilitres?
625
How many millilitres are there in 5/8 of a litre?
625
Convert 6941.997 millilitres to litres.
6.941997
What is three fifths of a hour in seconds?
2160
What is 7.532065mg in nanograms?
7532065
What is 0.0848785 micrograms in tonnes?
0.0000000000000848785
What is twenty-one halves of a millisecond in microseconds?
10500
What is 27/5 of a microgram in nanograms?
5400
How many grams are there in 687238.9 milligrams?
687.2389
How many milliseconds are there in one quarter of a second?
250
How many nanograms are there in one twentieth of a microgram?
50
How many millilitres are there in 42/5 of a litre?
8400
Convert 516.0332 weeks to nanoseconds.
312096879360000000
How many months are there in 5/6 of a millennium?
10000
Convert 7.601628 hours to microseconds.
27365860800
What is 1022.205ms in seconds?
1.022205
What is three tenths of a millimeter in micrometers?
300
How many tonnes are there in 18.4624mg?
0.0000000184624
Convert 911.9778 years to decades.
91.19778
Convert 76.85994l to millilitres.
76859.94
How many nanoseconds are there in 6/5 of a microsecond?
1200
What is 863.4569 litres in millilitres?
863456.9
How many centimeters are there in 2642.922 nanometers?
0.0002642922
How many minutes are there in 38.59968 seconds?
0.643328
How many hours are there in 13/8 of a week?
273
What is 587675.9 litres in millilitres?
587675900
How many minutes are there in 14035.773 microseconds?
0.00023392955
What is one fifth of a centimeter in micrometers?
2000
How many milliseconds are there in 939.04ns?
0.00093904
What is one fifth of a litre in millilitres?
200
How many seconds are there in twenty ninths of a hour?
8000
How many micrometers are there in 83.9854m?
83985400
What is 8609.968ml in litres?
8.609968
What is 6/5 of a kilometer in meters?
1200
Convert 79.57123l to millilitres.
79571.23
Convert 11.291607ns to hours.
0.0000000000031365575
How many centimeters are there in 1/4 of a kilometer?
25000
What is 419544.4 years in millennia?
419.5444
How many litres are there in 49.10763ml?
0.04910763
How many milligrams are there in 630.8909ng?
0.0006308909
How many kilograms are there in 7/8 of a tonne?
875
How many millilitres are there in 31/2 of a litre?
15500
What is five sixths of a minute in seconds?
50
How many years are there in 7/2 of a decade?
35
How many meters are there in 1/10 of a kilometer?
100
What is 96.66385 centuries in years?
9666.385
How many minutes are there in twenty-eight ninths of a day?
4480
How many nanoseconds are there in 29758.84 days?
2571163776000000000
How many milligrams are there in 489.0782 nanograms?
0.0004890782
How many millilitres are there in three fifths of a litre?
600
Convert 124.2432 meters to nanometers.
124243200000
What is 666039.8 meters in millimeters?
666039800
How many micrometers are there in fourty-five eighths of a centimeter?
56250
Convert 83206.11 milliseconds to nanoseconds.
83206110000
What is 91151.45mg in nanograms?
91151450000
What is twenty-seven fifths of a century in months?
6480
What is 0.8758801 millilitres in litres?
0.0008758801
Convert 95.00085mg to kilograms.
0.00009500085
Convert 386.945mg to tonnes.
0.000000386945
W
|
{
"pile_set_name": "DM Mathematics"
}
|
h be -8 - (-249)/18 - (-2)/(-6). Put w, h, -0.1 in ascending order.
-0.1, w, h
Let a = -715 - -730. Sort -0.4, -1, -4, a in increasing order.
-4, -1, -0.4, a
Suppose -2*b - 9 = d, -5*d - 4*b - 33 = -0. Let g = 0.2 - 0.1. Put d, g, -2, -0.3 in ascending order.
d, -2, -0.3, g
Let o = 150 + -235. Let q = o - -337/4. Sort q, -2, 1/12.
-2, q, 1/12
Let z(x) = -8*x + 3. Let a be z(3). Let i = -19 - a. Suppose 5*k = 4*p + 6, -4*p = -5*k - 2*p - i. Sort -5, k, 0.4 in decreasing order.
0.4, k, -5
Suppose -5*r - 2 = 13. Let f be ((-4)/r + -1)*9. Sort -1, f, 0 in decreasing order.
f, 0, -1
Let s = -137 + 141. Put -46/5, -5, 3, s in descending order.
s, 3, -5, -46/5
Suppose -3*v + 6 + 30 = 0. Suppose 0 = -3*l - l - v. Sort -4, l, 1.
-4, l, 1
Let d = -1 + 6. Suppose -r = -4*s + 10, 3*r + 12 = d*s + 3. Let c = -265 + 260. Put c, r, 0 in descending order.
r, 0, c
Let r = -9 + 15. Suppose -b + 2*b = -y - 7, -y - 2*b - 9 = 0. Suppose 12*z + 44 + 4 = 0. Sort y, z, r.
y, z, r
Let i be 4*-8*3/(-24). Put -4, -149, -3, i in descending order.
i, -3, -4, -149
Let k = 78 - 77. Put k, -2, -4 in decreasing order.
k, -2, -4
Let c = 588/5 + -118. Let q(w) = w + 3. Let f be q(2). Put -1/3, f, c in ascending order.
c, -1/3, f
Let y = -181 + 182. Let u = 31.2 + -31. Sort u, y, 5, -4 in descending order.
5, y, u, -4
Let f be (0/(40/5))/(-1). Sort f, 9, -1, 2 in decreasing order.
9, 2, f, -1
Let s = -2.7 + 10.2. Let v = 8 - s. Let q be (276/(-150) + 2)/((-12)/(-10)). Put q, v, -3 in decreasing order.
v, q, -3
Suppose -42*b + 28*b - 42 = 0. Let f = -41 - -40. Put f, 0, b, 8 in decreasing order.
8, 0, f, b
Suppose -104 = -4*l + 16. Suppose -3*k = 2*k - l. Let c = k + -9. Sort c, -4, -2.
-4, c, -2
Let k = 18 - 19. Let x = -8 - 4.8. Let w = -13 - x. Put 4, w, k in increasing order.
k, w, 4
Let l(g) = -g**2 - 15*g + 67. Let j be l(-19). Put 0, j, 4 in descending order.
4, 0, j
Let q = 219 - 211. Suppose 0 = -z + 4*x + q, -12*z + 3*x = -7*z + 11. Let r = -0.3 + 0.1. Sort z, r, 0.4 in descending order.
0.4, r, z
Let h be (-98)/3*9/(-6). Let l = 45 - h. Put l, -3, 0, 3 in descending order.
3, 0, -3, l
Let f be 62/(-14) + (-11 - -11) + 5. Put f, -1.3, -4 in decreasing order.
f, -1.3, -4
Suppose 0 = -84*q + 36*q - 240. Sort q, -65, 0, -3 in ascending order.
-65, q, -3, 0
Suppose -22*l + 45 = 1. Put -8, -25, 5, l in descending order.
5, l, -8, -25
Suppose -2*c = g - 1, -4*g - 5 = -9*g. Suppose c = -2*j - x - 2*x + 3, 4*j + 27 = 5*x. Let l = 2 - -3. Sort j, l, 4 in increasing order.
j, 4, l
Let m(r) = -r - 1. Let c be ((-4)/12)/(2/18). Let s be m(c). Let l be (-33)/(-22)*(0 + 12/(-9)). Sort 1, s, l in descending order.
s, 1, l
Suppose 3*p + 15 = 4*p. Let f be (-4 + 7)*p/9. Put 3, f, -1/2, 1 in increasing order.
-1/2, 1, 3, f
Let i(p) = -39 + p**2 - 7*p + 3*p + 39. Let a be i(5). Let b = 7 - 10. Put 2, a, b in decreasing order.
a, 2, b
Let u be (108/351)/((-2)/(-9)). Sort 5, -0.4, -1, u in decreasing order.
5, u, -0.4, -1
Let f = 7/153 + 3/17. Suppose -3*w - 25 = 4*v, -2*v - 4*w = -v + 16. Let m be (-10)/(-104) - (-1)/v. Sort 3, f, m in increasing order.
m, f, 3
Let d = 593 - 592.5. Put -0.1, -0.12, d in increasing order.
-0.12, -0.1, d
Let o = 3559 + -3564. Let t be (-1 - (-14)/10)/(-2). Put 6, t, o in decreasing order.
6, t, o
Let a = 998 + -990. Sort 3, a, -10 in decreasing order.
a, 3, -10
Let g = 232 + -236. Sort -5, g, 7.
-5, g, 7
Suppose -2*j - 80 = -3*l + 87, 5*l - 3*j = 279. Sort 1, l, -4, 0.
-4, 0, 1, l
Let g be 3/6*0 - -10. Let i be g*(1 - 15/25). Put -4, -0.4, i in decreasing order.
i, -0.4, -4
Let v = 1 + -5. Let u be -3 - 4086/88 - (-2)/11. Let g = 48 + u. Sort -0.2, g, v in increasing order.
v, g, -0.2
Let k = -15 - -10. Let m = k - -8. Let i = m - 0. Sort 2, i, -5 in decreasing order.
i, 2, -5
Suppose -n + 6 = f - 0*n, -5*f - 4*n + 25 = 0. Sort -5, f, 5, -2 in descending order.
5, f, -2, -5
Let i = -95 + 92. Sort i, -4, -83.
-83, -4, i
Suppose 0 = -5*n - 729 + 764. Sort 2, n, 1, 5 in descending order.
n, 5, 2, 1
Suppose -22*w - 144 + 34 = 0. Sort -0.3, 1/9, w, 7 in decreasing order.
7, 1/9, -0.3, w
Suppose -4*p + 8*p = 48. Let d be p/21 + (-76)/(-14). Suppose -g - d*g = 0. Sort g, -1, 4 in decreasing order.
4, g, -1
Let j = 1160 + -1161. Sort -14, -1/2, j.
-14, j, -1/2
Let z be ((-1)/(-2))/(14/(-8)). Let n = 14 + -9. Let u = 1.038 + -1.538. Put n, z, u in decreasing order.
n, z, u
Suppose 3*d + 2*l - 4*l - 19 = 0, -3*d + l = -14. Suppose 0 = -d*q, -12 = 3*j + 2*q - 0*q. Sort 14, 2, j in descending order.
14, 2, j
Suppose -4*s + 6*s + 2*u - 6 = 0, -3*s + u - 3 = 0. Suppose -4*c + 10 = -2*w, 3*c - 5*w = 9 + 9. Put -3, 4, c, s in decreasing order.
4, c, s, -3
Let z(h) = -h**2 - 16*h - 44. Let p be z(-12). Let w be 2/(-8) - (-38)/(-8). Sort p, w, 5, -4 in decreasing order.
5, p, -4, w
Let n be (-3)/(-2) - (-25)/10. Let x = n - 0. Suppose -4*l = -0*l + 12. Sort -2, l, x in descending order.
x, -2, l
Let h = -795 + 843. Put -1, -0.2, h in decreasing order.
h, -0.2, -1
Let q = 18 - 29. Let j = -72 + 70. Put 2, j, q in decreasing order.
2, j, q
Let g = 7.9 - 3.9. Let m = -167.9 + 157. Let y = m - -11. Sort -0.4, y, g in ascending order.
-0.4, y, g
Suppose 1 = h - 9. Let q = 6 - h. Let o = -3/79 - -243/158. Put 3, o, q in descending order.
3, o, q
Let h be (56/315)/8 - (-1)/5. Sort 3, 5, 22, h in descending order.
22, 5, 3, h
Let y = -9 + 29/3. Sort -0.2, y, 0 in descending order.
y, 0, -0.2
Let i = 471/3146 + 1/242. Let c be 4/10 - (-182)/70. Put i, -0.1, c in increasing order.
-0.1, i, c
Let v be (144/108)/((-3)/(-126)*2). Put 5, v, 2 in ascending order.
2, 5, v
Let c be 1/(-2 + (-10)/(-4)). Let z(s) = -s**3 - 40*s**2 + 42*s + 47. Let f be z(-41). Sort f, 0, c in ascending order.
0, c, f
Let r = -0.204 - -57.204. Sort r, 1, -3 in descending order.
r, 1, -3
Suppose 0 = v - 3*v + 32. Suppose -o = 3*x - 0 - v, 2*o - 16 = -2*x. Sort -5, 2, -1, o in decreasing order.
o, 2, -1, -5
Let f = -0.02 - -0.02. Let g = f + 4. Let h = 4.3 - g. Sort -0.2, -3, h in ascending order.
-3, -0.2, h
Let t = 4043/2 - 2022. Sort 2, 1/43, t.
t, 1/43, 2
Let d = 37 + -27. Let x be 2/d + 280/100. Sort x, -1, -4, 0 in descending order.
x, 0, -1, -4
Let g be (-75)/50*(1 + 1). Sort 14, -2, 5, g in decreasing order.
14, 5, -2, g
Suppose 5*j = -0 + 10. Suppose -4*d + 0 + 1 = -5*r, 0 = j*r + 2. Sort 0, -0.1, -0.04, d in ascending order.
d, -0.1, -0.04, 0
Suppose 3*u + 7 = -5*n, 4*u + 11 = u - n. Sort u, -2, -42.
-42, u, -2
Let o = -7 + 4. Let i be (1 + o/9)*(-9 + 6). Put i, 5, -3 in ascending order.
-3, i, 5
Suppose -2560*t + 2543*t = 68. Let v(l) = -l**3 - 5*l**2 - 4*l + 3. Let p be v(-4). Sort p, -1, 2, t.
t, -1, 2, p
Let n(l) = 29*l + 112. Let w be n(-4). Put -6, 0, 2, w in decreasing order.
2, 0, w, -6
Let m = -7 + 4. Put -0.5, m, 3/4 in increasing order.
m, -0.5, 3/4
Let u = 0.79 - 0.89. Sort 8, -4/7, -5/4, u.
-5/4, -4/7, u, 8
Let p(y) = 2*y + 24. Let a(u) = -u - 1. Let r(d) = a(d) - p(d). Let l be r(-8). Put -2, 3, l in ascending order.
-2, l, 3
Let j be ((-2)/(-9))/((-2)/6). Let f be (11 - (1 + -3)) + -12. Put j, 0.3, f, -2 in decreasing order.
f, 0.3, j, -2
Suppose 0 = t + 4*r - 3, -t = 4*t + 5*r + 15. Let c(s) = -s**3 + 9*s**2 - 7*s - 11. Let z be c(8). Sort z, -2/5, t in decreasing order.
-2/5, z, t
Let z(f) = f**3 + 6*f**2 - 7*f + 5. Let n be z(-7). Let j(a) = a**2 - 4*a - 7. Let u be j(n). Put 2, 5, u in increasing order.
u, 2, 5
Let z = -0.9 - -12.3. Let x = z + -11. Sort -5, -0.3, x.
-5, -0.3, x
Let o = -3918 - -7837/2. Suppose 0 = -4*k - 32 + 12. Sort 3, k, o in ascending order.
k, o, 3
Let y = -642 + 640. Sort -3, y, -1, 4 in ascending order.
-3, y, -1, 4
Let c = 11 - 6. Let l be (10/160)/(2/(-12)). Sort c, l, 2.
l, 2, c
Let c(q) = 2*q**2 + q + 1. Let h = -21 + 20. Let j be c(h). Let p = j + 2. Sort p, -5, 2 in ascending order.
-5, 2, p
Let c = -3 + 2. Let l = -31 - -74. Let j = l + -42.9. Sort -3/2, j, c in decreasing order.
j, c, -3/2
Let s be 34/153*(-3)/(-31). Sort s, -1/5, 5 in descending order.
5, s, -1/5
Let y = 151 - 151.2. Sort y, -4, -0.8.
-4, -0.8, y
Let b = 0.3 + 0.2. Let h = -0.0151 - 0.4849. Let c = -6 + 6.4. Put c, b, h in ascending order.
h, c, b
Let k = 785 + -2356/3. Put 2/29, k, 0.09 in descending order.
0.09, 2/29, k
Suppose -r - 5*c = 30, 33*c - 25 = 38*c. Let w be 4/(-14)
|
{
"pile_set_name": "DM Mathematics"
}
|
. Is m prime?
True
Is 39140925/(-45)*(-3)/5 composite?
False
Is (-899)/(-62)*(2593 + 1) prime?
False
Suppose 35*r + 3 = -3*d + 30*r, 2*r = -6. Is (-6914)/(-3)*(18/d)/3 composite?
False
Let h(k) be the first derivative of 20*k**2 + 17 + 4 - 7*k**2 - 31*k + 14. Is h(13) prime?
True
Let m = 74 - 74. Suppose 4*g + 3*z - 879 = 0, -10*z + 5*z + 25 = m. Let n = g + 1567. Is n composite?
False
Let j = 805356 + -396757. Is j a composite number?
True
Suppose 5*s - b - 1678107 = 426142, -5*s - 5*b + 2104285 = 0. Is s prime?
True
Suppose -5*r + 4*f = -43334, -8671 = -12*r + 11*r + 5*f. Suppose -2*l + 576 = -r. Is l a prime number?
True
Let g(l) = 51*l**2 - 27*l - 9. Let x be g(-18). Suppose x = 35*b - 26*b. Is b a composite number?
False
Suppose -3*t - 6 = -18. Is 5 + 714948/91 - t/7 composite?
True
Let s be (-1)/(16/24)*(-16)/(-6). Is 12381*((-15)/(-18)*-2 - s) prime?
False
Is (11 - -1767347) + -4 + (-1 - -2) composite?
True
Suppose -2*y = -3*x - 98720, 74*y - 3*x = 73*y + 49357. Is y composite?
False
Suppose -5*s + 5*k + 273 = 23, 2*k - 4 = 0. Suppose s*l - 49*l - 30717 = 0. Is l a prime number?
False
Let q(n) = 109*n**2 + 9. Suppose 0 = -0*l + 4*l - 16. Is q(l) a composite number?
False
Let y(f) = f**3 - 6*f**2 - 15*f - 10. Let w be y(8). Let a be ((-6)/2 - w)/((-1)/60293). Suppose -5*z - 4*q + 36171 = -2*z, 0 = -5*z - 4*q + a. Is z prime?
False
Suppose -4*v - 868 = -4*a - 60, -5*a + 1016 = v. Let t(c) = -282*c + 4 - 6 + a*c. Is t(-16) a prime number?
False
Let b(p) be the first derivative of -16*p + 8/3*p**3 + p**2 - 1/4*p**4 - 10. Is b(7) composite?
False
Let n(h) = -31 + 316*h - 75 - 445*h - 606*h. Is n(-7) a composite number?
False
Let o(k) = k**3 + 2521. Let v be 8/(-24) - 2*(-2)/12. Is o(v) prime?
True
Suppose -77 = 6*u + 7. Let h = u - 0. Let m(j) = -59*j + 27. Is m(h) a prime number?
True
Is ((-4)/(-2) - (-61 + 70))/(5/(-121685)) composite?
True
Let z(h) = 394*h - 15. Let j be z(3). Let p = 542 + j. Is p a prime number?
True
Suppose 0 = 3*w - 5*b - 297 + 2903, -b = -3*w - 2614. Let y = 1714 + w. Is y prime?
False
Suppose 8*s - 17592 = -0*s. Suppose 4*r - 5*y + 608 = s, -r - 2*y = -388. Is r composite?
True
Let v(m) = 18*m + 7. Let q(i) = i**3 + 8*i**2 - 3*i - 10. Let l be q(-8). Let w = -10 + l. Is v(w) a composite number?
False
Suppose 30*h + 361431 = 93*h. Is h prime?
True
Let f(c) = 1688*c**2 - 109*c - 139. Is f(8) prime?
True
Let p be (2 - 2)/(4 + -3). Suppose p*b = 2*b - 13548. Suppose 0 = 5*i - b - 1341. Is i a composite number?
True
Suppose 0 = -18*y + 19*y + 13. Let o(k) = k + 17. Let m be o(y). Suppose -2*j + m*z = -2218, -2*j + z - 1020 = -3223. Is j a prime number?
False
Let a = 82 + -84. Is -2 - -3 - (a + 614)/(-2) prime?
True
Let f(i) = -4*i + 18. Let n be f(4). Let d be (n + 2)*(25/(-10))/(-5). Suppose -2*c - 2*b + 15 = -1241, 0 = -5*c + d*b + 3161. Is c composite?
False
Suppose -7276 = -6*g - 352. Let z = 600 + g. Is z prime?
False
Let b = 727 + -440. Let h(o) = -2*o**2 + 6*o - 10. Let u be h(8). Let m = b - u. Is m composite?
True
Let h = -1565985 + 2758274. Is h prime?
False
Let o be 90/36*48/10. Let c(u) = u**2 - 11*u - 10. Let g be c(o). Suppose -4*d + 32 = t - 2*d, 0 = t - g*d - 20. Is t composite?
True
Suppose 3*u = -3*s + 541440, 2*s = -u + 417774 - 56809. Is s composite?
True
Let b(h) be the third derivative of 5*h**5/6 + 13*h**4/24 + h**3 - 39*h**2. Let v be b(5). Let t = 448 + v. Is t prime?
False
Let j(f) = -f**3 + 6*f**2 - 6*f + 8. Let m be j(-6). Suppose -4*q = 4*d - 584 - m, -779 = -3*q + d. Let l = q + -62. Is l a composite number?
False
Let f be ((-6)/7)/(110/(-28) + 4). Let x be 556/6 - 4/f. Let p = x + 286. Is p a composite number?
False
Let h = -13 - -17. Let w be (-23)/(-7) - h/14. Is 4/(-12) + 3 + 2383/w a composite number?
False
Let i = 1200 + -378. Suppose -22*x + 19*x + i = 0. Is x prime?
False
Suppose -2*d = 5*n - 56953, -4*n + 27333 = -5*d - 18269. Is n composite?
False
Let x be (1 - (-167068)/(-8))*(9 + -15). Suppose 0*n + 5*c - 83530 = -2*n, -3*n + 5*c = -x. Is n composite?
True
Suppose 949 = 4*p + 9. Let o(h) = -2*h**3 + h**2 - 2*h + 6. Let j be o(4). Let b = j + p. Is b composite?
True
Let w(m) = -558498*m - 12745. Is w(-10) prime?
False
Let l be 6/2 - (10 - -489580). Let g = 250215 + l. Is (-8)/10 - g/140 a composite number?
False
Suppose 0 = -4*h - 2*l - 6, -3*h - l = -5*h + 3. Suppose h = 5*y + 3 - 13. Suppose 0 = -y*m - 2*m + 4876. Is m a composite number?
True
Suppose 0 = g - 2*n - 1, 34*n = 3*g + 33*n - 13. Is 0 - g/((-35)/88571) a composite number?
False
Let k = -16812 + 35146. Suppose 5*w - 18322 = -7*p + 3*p, w + k = 4*p. Is p prime?
True
Let c be ((-3342)/(-9))/((-2)/(-12)). Suppose 5*s + 0*s = -4*i + 2231, -4*s + c = 4*i. Let k = i + -73. Is k a prime number?
False
Let p(s) = -3*s**3 - 12*s**2 - 12*s - 11. Let f be p(-8). Let v = 5533 + -3901. Let q = v - f. Is q composite?
True
Suppose -k + 2*r + 49015 = 0, 28*k + 2*r + 147033 = 31*k. Is k prime?
True
Suppose -294070 = 17*b - 52*b. Is b*(-15)/(-20)*(-4)/(-6) composite?
False
Let d(k) be the second derivative of 11*k**6/40 - k**4/4 + k**3/3 + k**2/2 + 18*k. Let l(i) be the first derivative of d(i). Is l(2) a composite number?
True
Let b(k) = 5*k**3 - 3*k**2 + 2*k + 7. Let f be b(-5). Let i = f + 500. Let s = -129 - i. Is s a prime number?
False
Let h(i) = -i**3 - 7*i**2 - 2*i + 11. Let n be h(-6). Let a = 17 + n. Is (2/a)/(((-18)/(-3))/5316) a prime number?
True
Let v(h) be the third derivative of -h**6/120 + 29*h**5/60 + 3*h**3/2 - 27*h**2. Let x be v(29). Suppose x*r - 11*r = -290. Is r a prime number?
False
Is (263733/(-9))/(((-272)/168)/34) a composite number?
True
Suppose 5*x = 3*v + 174534 + 68086, 4*x - 3*v - 194096 = 0. Suppose -5*q = -3*i - 6*q + 29106, 5*i = 3*q + x. Is i composite?
True
Let j(n) = -n**3 + 2*n**2 - 3*n - 9. Let g be j(-2). Let d(k) = 40*k + 31. Is d(g) a composite number?
True
Let a = 0 + -23. Let o = -23 - a. Is o + 9074/10 - (-4)/(-10) a prime number?
True
Suppose -27663288 = -149*f + 32881223. Is f a prime number?
True
Suppose 17*q - 19*q + 1592 = 0. Is (-8)/(-16)*(0 + q) a prime number?
False
Let b(y) = 1504*y**3 + 20*y**2 - 65*y - 41. Is b(6) composite?
False
Let i(z) = 75*z - 7. Let c be 1 + (-6 - -2) + -2. Let y be i(c). Is (-2 - 3)*y/2 composite?
True
Let p(h) = -274*h + 1187. Is p(-93) prime?
True
Let g = 620 - 636. Let b(m) be the second derivative of -13*m**3/6 - 17*m**2/2 + 2*m. Is b(g) composite?
False
Let o be 1*-7*-1 + 3150/(-450). Suppose -50 = -5*q - 3*m, 5*q + 0*m + m - 40 = 0. Suppose q*u - 6671 = -o*u. Is u a composite number?
False
Let n(f) = 3*f - 45. Suppose -x + 47 = 3*c, 0 = 2*c - 4*x - 36. Let r be n(c). Suppose 2*y + 6 = 0, r*i - 1293 - 585 = -5*y. Is i composite?
False
Let c(r) = -562*r**2 - 13*r + 59. Let n(p) = -1124*p**2 - 27*p + 118. Let l(s) = 5*c(s) - 3*n(s). Is l(4) composite?
True
Suppose -10*w + 6 = 6. Suppose w = 8*y - 45967 - 19209. Is y a composite number?
False
Suppose -120*l + 5013 = -121*l. Let d = l + 8120. Is d composite?
True
Let z(p) = -13 - 9 + 68*p + 1. Suppose -u + 1 = k, -4*k + 5*k - 5*u - 19 = 0. Is z(k) composite?
False
Suppose 2*y = 5*k + 4590, -2*y + 4634 = -9*k + 15*k. Is y prime?
False
Let j = 3854 - 2753. Suppose -f + 3606 = -5*z, 6 = -2*f - 2. Let i = j + z. Is i prime?
True
Suppose 633*l - 574*l = 13215941. Is l a composite number?
False
Let c = 4 - -5. Let k(o) = -26*o - c*o - 34 + 32. Is k(-21) composite?
False
Let o = 3 - 1. Let p be (-31565)/(-7) + 62/(-217). Suppose -y - 4*y = 4*w - p, 1803 = o*y + w. Is y prime?
False
Let u(t) = -t**2 + 23*t - 26. Let j be u(21). Suppose j*r + 41653 = 134117. Is r a composite number?
False
Suppose -9 = -y + 2*n, -4*y + 4 + 5 = n. Suppose 2*b = -3*q + y*b + 35, -5*q = b - 61. Is ((-1)/(-3))/(q/7164) a composite number?
False
Suppose 0 = 4*p - m - 27 - 7, -3*p = 3*m - 33. Suppose -556 = 5*l - p*l. Suppose -3*w + l = 37. Is w composite?
True
Let m = 408684 + -228703. Is m a prime number?
True
Let o(t) = -4*t**3 + t**2 - t - 1. Let a be o(-1). Suppose a*u - u = -2*z - 2, 0 = 4*u + 4*z - 4. Is 1 - (1 + u) - (-243 + 6) a prime number?
True
Let x(a) = 21504*a + 221. Is x(7) composite?
True
Suppose 3*j - 4199200 = 19*j. Is (-13)/(910/j) + 2/(-7) composite?
True
Let d = -12 - -6. Let u(q) = -127 - 659*q + 180 - 50. Is
|
{
"pile_set_name": "DM Mathematics"
}
|
rivative of -11946457*w**3 + 27900292*w**2?
-71678742
Find the second derivative of -19*l**3 - 57869*l**2 - 40568210*l.
-114*l - 115738
Find the second derivative of 4*s**4 + 834*s**3 + 36*s**2 - 7510453*s.
48*s**2 + 5004*s + 72
What is the third derivative of -677512*d**2*q**3 + 17970*d**2*q**2 - 3*d**2*q + 2*d*q**3 - 15*q**3 - 54*q**2 + q - 2 wrt q?
-4065072*d**2 + 12*d - 90
What is the third derivative of -260174*k**3*t**3*x**3 + 2*k**3*t**2*x - 3*k**3*t*x**3 + 12*k**3*t*x**2 + 6*k**2*x - 15*k*t**3*x**2 + 16*k*t**3 + t**3 wrt x?
-1561044*k**3*t**3 - 18*k**3*t
Find the second derivative of 97322*h**2*l*z + 54*h**2*l - h*l*z + 6*h*l - 33*h*z - 211*l*z - z - 8 wrt h.
194644*l*z + 108*l
What is the derivative of -2*g**3*w**4 - 489217*g**3*w**2 - 675*g**3 - 4548*g**2 - 1 wrt w?
-8*g**3*w**3 - 978434*g**3*w
Find the first derivative of 248777372*f*w + 28371276*w wrt f.
248777372*w
What is the second derivative of -11165291*i**2*w**2 - 1348465*i**2 - 5*w**4 - 37*w wrt w?
-22330582*i**2 - 60*w**2
Differentiate -369*c**2*n**3 - 889569*c**2*n**2 + 87*n**3 - 198*n**2 + 29*n + 21 with respect to c.
-738*c*n**3 - 1779138*c*n**2
What is the derivative of 27334016*l - 20183068 wrt l?
27334016
What is the first derivative of 135*p**3 - 15711*p**2 + 3*p - 4600869?
405*p**2 - 31422*p + 3
Differentiate -w**3 + 253*w**2 - 229*w - 4453124 with respect to w.
-3*w**2 + 506*w - 229
Find the first derivative of 122*n**4 + 418036*n**2 - 458355174.
488*n**3 + 836072*n
Differentiate 29580*q**2 - 915*q + 304155411 wrt q.
59160*q - 915
What is the second derivative of -10564781*l**4 - 3349*l - 181 wrt l?
-126777372*l**2
Find the second derivative of -866*w**4 - 1879*w**3 - 2*w**2 - 36029388*w wrt w.
-10392*w**2 - 11274*w - 4
Find the first derivative of 174724*i**2*u*x - 7718*i**2*x + 38*i*u**2*x + 5361*i*x wrt u.
174724*i**2*x + 76*i*u*x
What is the third derivative of 53*f**4*t + 661159*f**4 + f**3*t**3 - 21*f**2*t**3 - 35*f**2*t**2 + f*t**3 + 16*t**3 - 11*t - 2 wrt f?
1272*f*t + 15867816*f + 6*t**3
Differentiate 29*h**3 + 567049*h**2 + 2*h - 78042360 wrt h.
87*h**2 + 1134098*h + 2
Find the third derivative of 266948543*a**3 - 27095293*a**2 wrt a.
1601691258
What is the second derivative of 672556*s**3 - 247*s**2 - 22377893*s + 3?
4035336*s - 494
Differentiate -61112*n**3*s - 15*n*s**2 + 1027*s**2 + s + 41 wrt n.
-183336*n**2*s - 15*s**2
Find the second derivative of -9542027*l**2 - 90313010*l wrt l.
-19084054
What is the third derivative of -g**4*z + 2886316*g**3 - 2*g**2*z + 77*g*z - 6121*z wrt g?
-24*g*z + 17317896
What is the third derivative of -16124976*o**3*t + o**3 - 2311*o**2*t - 1539*o**2 wrt o?
-96749856*t + 6
What is the third derivative of 2170*g**2*r**4 + 3*g**2*r**3 + g**2*r**2 + 13*g**2 - 35*g*r**3 - 10727364*r**2 wrt r?
52080*g**2*r + 18*g**2 - 210*g
Find the second derivative of 19612269*i**2*o**2 - 12*i*o**2 + i*o - 1607*o**2 - o - 3 wrt i.
39224538*o**2
Find the second derivative of -1615230*l**4 + 13145623*l.
-19382760*l**2
Find the third derivative of -237262294*u**4 - 2430879*u**2 - 15*u - 1 wrt u.
-5694295056*u
What is the first derivative of -12917933*p**2 - 16170392 wrt p?
-25835866*p
Differentiate -13252*l**2 + 1080*l - 22631067 with respect to l.
-26504*l + 1080
Find the third derivative of 42868843*w**4 - 8747494*w**2 - 2*w wrt w.
1028852232*w
What is the first derivative of 9488508*c*o + 13767607*c wrt o?
9488508*c
Find the second derivative of 66930123*u**3 + u**2 + 3*u - 17462544.
401580738*u + 2
Find the first derivative of -94773033*d*i + 4660*d*l**3 - 4356*i*l**2 + 2*i wrt l.
13980*d*l**2 - 8712*i*l
Find the first derivative of -17288729*p**4 - 6038393 wrt p.
-69154916*p**3
Find the second derivative of -338912076*f**2*y**2 + 3*f**2*y + 2*f**2 - 17*f*y - 2797*f + 2*y + 1 wrt y.
-677824152*f**2
Find the third derivative of 4982258*l**6 - 8485079*l**2 wrt l.
597870960*l**3
Find the third derivative of 99027937*z**3 + 130*z**2 - 24110*z wrt z.
594167622
Find the third derivative of -27225503*u**3 - 29274635*u**2 wrt u.
-163353018
What is the third derivative of 27897001*d**3 + d**2 - 2*d + 2245552 wrt d?
167382006
What is the second derivative of -348*f**2*g*z + 362*f**2*g - 9*f**2*z + 8*f*g*z - 21*f*g - 3*f + 4*g*z + 225*g wrt f?
-696*g*z + 724*g - 18*z
Find the third derivative of 33255339*a**2*f**2*g**2*t**3 - 3*a**2*g**2 - 4*a**2*t**2 + 10*a*f*g**2*t**2 + 20*f**2 + 63*f - 3*g*t**2 wrt t.
199532034*a**2*f**2*g**2
What is the first derivative of 6878389*u**2 - 2*u - 14637195 wrt u?
13756778*u - 2
Find the third derivative of 19110893*h**3*n**3 + 97643*h**3 - 418*h*n**2 wrt n.
114665358*h**3
Differentiate -426533167*i*r + 700218445*i wrt r.
-426533167*i
Find the second derivative of 21338*a*d**3 + 6*a*d - a - 101*d**3 - 184*d + 115 wrt d.
128028*a*d - 606*d
What is the second derivative of -385321009*q**2 - 174181381*q?
-770642018
What is the third derivative of -15643*p**6 + 9*p**5 - 32*p**3 + 574*p**2 - 14295?
-1877160*p**3 + 540*p**2 - 192
What is the third derivative of -4115*n**5 - 1638*n**4 + 34837489*n**2?
-246900*n**2 - 39312*n
What is the second derivative of -6*t*y**3 - 6882474*t*y**2 + 2468*t*y + 72*t - 2*y**3 - y + 1 wrt y?
-36*t*y - 13764948*t - 12*y
Find the second derivative of 20959531*c**2*i + 5*c*i - 3*c - 8*i - 1714 wrt c.
41919062*i
Find the second derivative of 22452249*j**3 - 2*j - 2317843.
134713494*j
Find the third derivative of -2754058*c**2*j**3 + c**2*j**2 + 58*c*j**3 - 235*c*j - 27159*c + 2*j**3 + 3 wrt j.
-16524348*c**2 + 348*c + 12
What is the second derivative of o**3 + 14960080*o**2 + 14249*o - 66?
6*o + 29920160
Differentiate -68426*d**4*s - 25*d*s**2 - 12904446*s**2 with respect to d.
-273704*d**3*s - 25*s**2
What is the third derivative of -82*h**4 - 1768*h**3 + 7883090*h**2 wrt h?
-1968*h - 10608
Find the third derivative of -342132696*y**4 - 21*y**2 - 935*y - 2288.
-8211184704*y
What is the third derivative of -t**2*u**3 + 50*t**2*u + 12464*t**2 - 4*t*u**2 + 7069448*u**3 wrt u?
-6*t**2 + 42416688
What is the derivative of -46441*v**4 - 3*v**2 + 6*v - 8595121?
-185764*v**3 - 6*v + 6
What is the second derivative of 6*o**5 + 9359*o**4 - 17*o**2 - 4094333*o wrt o?
120*o**3 + 112308*o**2 - 34
Find the first derivative of -4845372*b*n + 351*b*s + 14*b - 2*g*n*s - 2*g*n + 12*g*s - s + 2 wrt n.
-4845372*b - 2*g*s - 2*g
Find the third derivative of 688659069*n**3 - 7118*n**2 - 29*n + 520 wrt n.
4131954414
What is the third derivative of 17000850*q**3*w**3 + q**2*w**3 + q**2 - q*w**3 - 4834*w**3 wrt q?
102005100*w**3
What is the third derivative of 14*n**5 - 244384*n**4 - 4*n**3 + 8346827*n**2?
840*n**2 - 5865216*n - 24
Find the third derivative of -1747286*b**5 + 8*b**2 - 144*b - 66.
-104837160*b**2
Find the third derivative of 10093746*l**3 + 68322830*l**2 wrt l.
60562476
Find the third derivative of 7*k**3*q*z**3 - 6718*k**3*z**5 + 11*k**3*z**2 + 10*k**2*z**2 + 11*k**2 + 20*k*q*z wrt z.
42*k**3*q - 403080*k**3*z**2
Find the third derivative of -5*g**3*t**4 + 4887*g**3*t**2 - 1205*g**3*t + 57720*g**2*t**4 wrt t.
-120*g**3*t + 1385280*g**2*t
Differentiate -45*c*i**3 + 3*c*i**2*n + 2*c*n - 3*c*s - 7*c - i**3*n*s + i**2 - 133*i*n - 12762084*n*s - n wrt s.
-3*c - i**3*n - 12762084*n
What is the second derivative of -236287*q**4 + 229*q**3 - 3066*q - 46543?
-2835444*q**2 + 1374*q
What is the first derivative of -2*o**2*q**2 + 93230941*o**2*q + q**2 + 71548*q - 71 wrt o?
-4*o*q**2 + 186461882*o*q
Find the first derivative of -86939927*h*n**2 - 3182*n**2 + 5*n + 9023 wrt h.
-86939927*n**2
What is the third derivative of -2*j**5 + 23764724*j**4 + 584226890*j**2 wrt j?
-120*j**2 + 570353376*j
Differentiate -121722*c**2 + 137*c - 38752975.
-243444*c + 137
Find the second derivative of 152911493*z**5 - 504105165*z.
3058229860*z**3
Differentiate -8183085*u**3 - 31075849 wrt u.
-24549255*u**2
Find the first derivative of -298023*w**2 + 18*w - 9617862 wrt w.
-596046*w + 18
What is the derivative of -2*n**2*p + 7827927*n**2 + 4601926*n*p**3 + 1 wrt p?
-2*n**2 + 13805778*n*p**2
Find the second derivative of 32*f**2*k**2*m - 4510*f**2*m**2 + 29*f*k*m - k**2*m**2 + 4*k**2 - k*m**2 - 9*k*m + 46*m**2 wrt m.
-9020*f**2 - 2*k**2 - 2*k + 92
Differentiate -10*g**3 - g**2 - 109616*g - 31864998 wrt g.
-30*g**2 - 2*g - 109616
W
|
{
"pile_set_name": "DM Mathematics"
}
|
f**3 + 159*f**2 + 246*f + 96.
-3*(f - 2)*(f + 1)**3*(f + 16)
Factor 4*f**5/7 + 16*f**4/7 + 24*f**3/7 + 16*f**2/7 + 4*f/7.
4*f*(f + 1)**4/7
Factor -289*o**5/9 - 799*o**4/9 - 667*o**3/9 - 97*o**2/9 + 56*o/9 - 4/9.
-(o + 1)**3*(17*o - 2)**2/9
Solve 3*n**2 + 27*n - 408 = 0 for n.
-17, 8
Let -3*f**5 + 3*f**4 + 27*f**3 - 27*f**2 = 0. Calculate f.
-3, 0, 1, 3
Solve o**4/3 - 2*o**3/3 - 4*o**2/3 + 8*o/3 = 0 for o.
-2, 0, 2
Let -2*a**4 - 1107*a**3/2 - 77003*a**2/2 - 28428*a + 9522 = 0. Calculate a.
-138, -1, 1/4
Factor 2*u**3/7 + 158*u**2/7.
2*u**2*(u + 79)/7
Determine f so that 3*f**3 - 822*f**2 - 3*f + 822 = 0.
-1, 1, 274
Factor 2*x**5 + 40*x**4 - 550*x**3 + 1500*x**2.
2*x**2*(x - 5)**2*(x + 30)
Determine l, given that 3*l**2/7 - 1770*l/7 + 261075/7 = 0.
295
Factor 2*s**3 - 28*s**2.
2*s**2*(s - 14)
Suppose -2*a**2/7 + 160*a - 22400 = 0. What is a?
280
Find s, given that -9*s**5/2 + 89*s**4 - 689*s**3/2 + 324*s**2 + 90*s = 0.
-2/9, 0, 2, 3, 15
Determine p so that 3*p**2 + 34116*p + 96991788 = 0.
-5686
Factor -28*o**3 - 144*o**2 + 372*o + 56.
-4*(o - 2)*(o + 7)*(7*o + 1)
Factor 12*b**4 - 2616*b**3 + 213858*b**2 - 7770174*b + 423474483/4.
3*(2*b - 109)**4/4
Let -9*g**5 - 39*g**4 + 119*g**3/4 - 3*g**2/2 - 5*g/4 = 0. What is g?
-5, -1/6, 0, 1/3, 1/2
Find b, given that 5*b**3 + 9745*b**2 = 0.
-1949, 0
Find v, given that v**4/3 - 8*v**3/3 - 7*v**2 + 8*v/3 + 20/3 = 0.
-2, -1, 1, 10
Factor -5*o**5 - 155*o**4 - 290*o**3 + 10*o**2 + 295*o + 145.
-5*(o - 1)*(o + 1)**3*(o + 29)
Find i, given that -2*i**2 + 900*i - 1792 = 0.
2, 448
Factor -5*z**4 - 6140*z**3 - 1872660*z**2 + 7564480*z - 7589120.
-5*(z - 2)**2*(z + 616)**2
Determine m so that -5*m**2 - 165*m = 0.
-33, 0
Factor 4*v**4/5 - 4*v**3 + 36*v**2/5 - 28*v/5 + 8/5.
4*(v - 2)*(v - 1)**3/5
Factor 3*i**3 - 1842*i**2 - 3705*i + 5544.
3*(i - 616)*(i - 1)*(i + 3)
Let j**3/4 - 8*j**2 = 0. Calculate j.
0, 32
Find l, given that 2*l**2/13 + 1472*l/13 + 270848/13 = 0.
-368
Let 4*n**2 + 48*n + 128 = 0. What is n?
-8, -4
Determine w so that -2*w**4/11 - 620*w**3/11 + 622*w**2/11 = 0.
-311, 0, 1
Factor -v**4/7 + 15*v**3/7 - 78*v**2/7 + 164*v/7 - 120/7.
-(v - 6)*(v - 5)*(v - 2)**2/7
Solve 24*i**5 - 381*i**4 + 2208*i**3 - 5478*i**2 + 4680*i + 675 = 0 for i.
-1/8, 3, 5
Suppose -21*x**2/2 - 507*x - 144 = 0. What is x?
-48, -2/7
Let -w**2/4 - 4*w + 33 = 0. What is w?
-22, 6
Determine x, given that 9*x**3 - 12*x**2 + 4*x = 0.
0, 2/3
Let -5*l**4 + 95*l**3 + 35*l**2 - 635*l - 570 = 0. Calculate l.
-2, -1, 3, 19
Factor y**3/8 + 779*y**2/8 - 195*y/2.
y*(y - 1)*(y + 780)/8
Determine g, given that g**3/5 - 377*g**2/5 - 378*g/5 = 0.
-1, 0, 378
Factor -2*n**2/7 + 32*n - 896.
-2*(n - 56)**2/7
Solve -7*r**4 - 37*r**3 + 46*r**2 + 100*r + 24 = 0.
-6, -1, -2/7, 2
Factor -l**3/3 + 55*l**2/3 - 728*l/3 - 784/3.
-(l - 28)**2*(l + 1)/3
Factor -n**4 + 360*n**3 - 30919*n**2 - 268272*n - 236992.
-(n - 184)**2*(n + 1)*(n + 7)
Find f, given that 6*f**5 + 2*f**4 - 26*f**3 - 18*f**2 + 20*f + 16 = 0.
-4/3, -1, 1, 2
Factor -6*r**4 - 14181*r**3 - 11169900*r**2 - 2930234736*r + 1467911616.
-3*(r + 788)**3*(2*r - 1)
Factor -2*q**2/11 + 202*q/11 + 1744/11.
-2*(q - 109)*(q + 8)/11
Factor 5*l**2 - 355*l - 2310.
5*(l - 77)*(l + 6)
What is i in -2*i**2/7 - 12*i/7 + 54/7 = 0?
-9, 3
Find b such that -4*b**3 + 28*b**2 - 24*b = 0.
0, 1, 6
Let f**4 + 32*f**3 - 229*f**2 - 32*f + 228 = 0. Calculate f.
-38, -1, 1, 6
Factor 4*m**3 - 64*m**2.
4*m**2*(m - 16)
Factor -3*o**4 + 720*o**3 - 57600*o**2 + 1536000*o.
-3*o*(o - 80)**3
Determine j, given that -1109205*j**2 - 4710*j - 5 = 0.
-1/471
Let 2*p**3/5 + 1742*p**2/15 - 388*p/5 = 0. What is p?
-291, 0, 2/3
Factor -3*z**3/4 + 15*z**2/4 + 6*z - 36.
-3*(z - 4)**2*(z + 3)/4
Let 2*g**4/21 + 326*g**3/21 + 4478*g**2/7 + 3726*g/7 - 26244/7 = 0. Calculate g.
-81, -3, 2
Solve 3*n**5/4 + 32*n**4 + 462*n**3 + 2352*n**2 + 1372*n = 0 for n.
-14, -2/3, 0
Find g such that -3*g**5/5 - 24*g**4/5 - 63*g**3/5 - 54*g**2/5 = 0.
-3, -2, 0
Find k such that 2*k**3/7 + 20*k**2/7 - 104*k/7 + 16 = 0.
-14, 2
Factor 2*s**3/7 - 2*s**2/7.
2*s**2*(s - 1)/7
Find o such that o**2/2 + 6065*o + 36784225/2 = 0.
-6065
Factor 4*m**4 + 336*m**3 - 1392*m**2 + 1408*m.
4*m*(m - 2)**2*(m + 88)
Factor -3*z**2/5 - 6618*z - 18249135.
-3*(z + 5515)**2/5
Determine v, given that -5*v**2 + 475*v - 470 = 0.
1, 94
Factor 2*a**4 - 12*a**3 - 30*a**2 - 16*a.
2*a*(a - 8)*(a + 1)**2
Factor -5*w**2 - 20*w - 15.
-5*(w + 1)*(w + 3)
Find r, given that -3*r**4 - 12*r**3 - 6*r**2 + 12*r + 9 = 0.
-3, -1, 1
Solve q**2/7 + q = 0.
-7, 0
Determine b, given that -35*b**3 + 13710*b**2 - 1340640*b - 384160 = 0.
-2/7, 196
Suppose -l**3/3 - 10*l**2/3 - l/3 + 40 = 0. What is l?
-8, -5, 3
Factor -3*z**2 + 3100*z + 2068.
-(z - 1034)*(3*z + 2)
Factor v**5/5 + 2*v**4/5 - 3*v**3/5 - 4*v**2/5 + 4*v/5.
v*(v - 1)**2*(v + 2)**2/5
Suppose f**2/4 - 1192*f - 4769/4 = 0. Calculate f.
-1, 4769
Find l, given that -2*l**3/13 - 336*l**2/13 - 666*l/13 - 332/13 = 0.
-166, -1
Factor 2*n**3/11 - 8*n/11.
2*n*(n - 2)*(n + 2)/11
Factor f**3/4 - 3*f**2/4 - 4*f + 12.
(f - 4)*(f - 3)*(f + 4)/4
Determine q, given that -q**5 - 33*q**4 - 408*q**3 - 2404*q**2 - 6816*q - 7488 = 0.
-13, -6, -4
Solve 2*k**5 + 10*k**4/7 - 18*k**3/7 - 10*k**2/7 + 4*k/7 = 0 for k.
-1, 0, 2/7, 1
Factor -3*m**2/2 - 84*m - 1152.
-3*(m + 24)*(m + 32)/2
Suppose -2*y**3 - 72*y**2 + 312*y - 320 = 0. Calculate y.
-40, 2
Suppose -3*i**3 + 225*i**2 - 2958*i = 0. What is i?
0, 17, 58
Factor 77*q**2 - 233*q + 6.
(q - 3)*(77*q - 2)
Factor -4*x**2 + 32*x - 48.
-4*(x - 6)*(x - 2)
Let -w**4/7 + 31*w**3/7 + 99*w**2/7 + 101*w/7 + 34/7 = 0. What is w?
-1, 34
Determine b so that 2*b**2/7 + 248*b/7 + 2486/7 = 0.
-113, -11
Factor -2*m**3 - 60*m**2 + 8*m + 240.
-2*(m - 2)*(m + 2)*(m + 30)
What is y in 4*y**5/5 + y**4 - 11*y**3/5 - 7*y**2/5 + 7*y/5 + 2/5 = 0?
-2, -1, -1/4, 1
Factor 2*t**3 + 12534*t**2 + 26183526*t + 18232461938.
2*(t + 2089)**3
Factor 3*v**4 - 129*v**3 + 249*v**2 - 123*v.
3*v*(v - 41)*(v - 1)**2
Factor 2*h**2 - 232*h + 6728.
2*(h - 58)**2
Factor 3*u**5 + 17*u**4 - 8*u**3 - 12*u**2.
u**2*(u - 1)*(u + 6)*(3*u + 2)
Factor -2*p**4 - p**3 + 1007*p**2/8 + 3249*p/8.
-p*(p - 9)*(4*p + 19)**2/8
Factor -f**2/4 - 83*f/4.
-f*(f + 83)/4
Factor -v**5 + 8*v**4 - 19*v**3 + 12*v**2.
-v**2*(v - 4)*(v - 3)*(v - 1)
Factor 3*q**4 - 36*q**3 - 177*q**2 - 234*q - 96.
3*(q - 16)*(q + 1)**2*(q + 2)
Suppose -4*h**5 + 68*h**4 + 200*h**3 - 4552*h**2 - 9412*h - 4732 = 0. Calculate h.
-7, -1, 13
Factor 6*s**2 + 75*s.
3*s*(2*s + 25)
Suppose -5*c**4/2 + 65*c**3 + 425*c**2/2 + 145*c = 0. Calculate c.
-2, -1, 0, 29
Find n such that -n**3/3 + 211*n**2/3 + 640*n/3 + 428/3 = 0.
-2, -1, 214
Factor -4*k**5 - 156*k**4 - 1272*k**3 + 4792*k**2 - 5124*k + 1764.
-4*(k - 1)**3*(k + 21)**2
Factor -j**3 - 35*j**2 + 237*j - 369.
-(j - 3)**2*(j + 41)
Factor 5*t**3 - 1010*t**2 - 3065*t - 2050.
5*(t - 205)*(t + 1)*(t + 2)
Factor -p**4/5 + 54*p**3/5 - 829*p**2/5 + 540*p - 500.
-(p - 25)**2*(p - 2)**2/5
Factor 3*m**4/4 + m**3/2 - 19*m**2/4 + 3*m/2.
m*(m - 2)*(m + 3)*(3*m - 1)/4
What is s in 3*s**2 + 9*s - 30 = 0?
-5, 2
Suppose -3*t**4 + 1512*t**3 - 190512*t**2 = 0. Calculate t.
0, 252
Find b such that b**3 - 1082*b**2/3 - 361*b/3 = 0.
-1/3, 0, 361
Find y such that 4*y**2/3 - 28*y/3 - 32/3 = 0.
-1, 8
Factor n**2 + 11086*n + 30724849.
(n + 5543)**2
Suppose -4*c**5 - 16*c**4 - 4*c**3 + 24*c**2 = 0. Calculate c.
-3, -2, 0, 1
Factor -5*r**2 + 35*r + 150.
-5*(r - 10)*(r + 3)
Factor 4*m**4 + 28*m**3 + 44*m**2 + 20*m.
4*m*(m + 1)**2*(m + 5)
Find j, given that 3*j**5 + 51*j**4 + 234*j**3 - 150*j**2 - 2541*j - 2205 = 0.
-7, -5, -1, 3
Let -l**4/4 - 5*l**3/2 - 29*l**2/4 - 2*l + 12 = 0. Calculate l.
-4, -3, 1
Suppose 8*c**2 + 6*c - 2 = 0. Calculate c.
-1, 1/4
Factor -3*y**2/4 + 291*y/2 - 579/4.
-3*(y - 193)*(y - 1)/4
Factor 2*s**4/7 + 100*s**3/7 - 1392*s**2/7 + 832*s - 7936/7.
2*(s - 4)**3*(s + 62)/7
Solve 8*m**4/5 - 2598*m**3/5 + 209294*m**2/5 + 265038*m/5 + 53138/5 = 0.
-1, -1/4, 163
Factor 3*g**3 + 57*g**2 - 135*g - 189.
3*(g - 3)*(g + 1)*(g + 21)
Factor -2*c**5/7 - 52*c**4/7 - 482*c**3/7 - 1840*c**2/7 - 2432*c/7 - 1024/7.
-2*(c + 1)**2*(c + 8)**3/7
Factor 6*n**3 + 134*n**2 + 40*n - 88.
2*(n + 1)*(n + 22)*(3*n - 2)
Solve -d**3/4 + 27*d**2/2 + 427*d/4 = 0.
-7, 0, 61
Solve 2*n**3/5 - 104*n**2 - 2*n/5 + 104 = 0 for n.
-1
|
{
"pile_set_name": "DM Mathematics"
}
|
s
b
Suppose 10*y - 1068 = 1412. Let p = y + -244. Which is the nearest to -1/4? (a) p (b) 2 (c) 8
b
Let h = -3.4 + 3. Let b = -0.5047 - -1.0047. What is the nearest to b in -1/9, -3, h?
-1/9
Let p = 0.112 - 3.312. Let m = p + 8.2. Which is the closest to 0.1? (a) 2/9 (b) m (c) 0.5
a
Let i = -6.648 + 6.748. What is the closest to i in -0.09, 4, -7?
-0.09
Let u = -98 + 98. What is the nearest to -2/7 in -5, u, -0.2, -4.4?
-0.2
Let c = 4.2 - 0.2. Let i = -126.2 + 106. Let p = i - -20. What is the closest to 0 in p, c, -1/4?
p
Let i = -6.528 - -3.528. Which is the closest to 0.04? (a) 13 (b) i (c) 2/9
c
Let t be ((-14)/(-68))/((-2)/4). Let y = t + 117/119. Let g(i) = i**3 - 28*i**2 - 57*i - 89. Let n be g(30). Which is the nearest to 0.2? (a) y (b) n (c) 2
a
Let v = 0.0012 + -346.0012. Let s = 346.5 + v. What is the closest to 2 in 37, s, -3?
s
Let s = 27.18 + -34.18. Which is the closest to -1? (a) 1/3 (b) -3 (c) s (d) -3.9
a
Let g be (11 - 20)/(39/(-6) - 1). Let p = 1942/9 + -216. What is the closest to 1 in p, 0, g?
g
Let d = -6.22 - 0.78. Let z = -65.4 + 66. Which is the closest to -1? (a) 1 (b) d (c) z
c
Let l be (-14)/6 + (0 - -3). Let a = 2.2 - -12.8. Let w = a - 17. What is the closest to 2/3 in -1/3, w, l?
l
Let d be (9/(-3))/(-15)*(3 - 187/44). What is the nearest to d in -2, -133, -4/9?
-4/9
Let k = -14693 - -14689. Which is the nearest to -0.3? (a) 2/7 (b) 0.3 (c) 0 (d) k
c
Let f = 12482 - 12481.9. What is the closest to f in 25, 6, -1/2?
-1/2
Suppose 6*v + 3*v - 44 = 2*y, 5*v = -5*y. Let l = -92/17 + 711/34. Let h = 15 - l. Which is the closest to -0.03? (a) h (b) -2/3 (c) v
a
Let h = 0.13 + -0.83. Let p = -171 - -166.54. Let k = 1.46 + p. What is the nearest to h in k, 1/5, -1/5?
-1/5
Let h be -446*(5 + 0 + -3). Let u be h/(-304)*(-32)/(-18). Let g = 78/19 - u. What is the nearest to -2/5 in g, 0.1, -1/4?
-1/4
Let l = 9 + -4. Let o be 249/210 - 1 - (-8)/(-1036)*37. Which is the nearest to 0.3? (a) l (b) o (c) -1
b
Let s = 76.09 - 76.49. Which is the closest to -4? (a) 1/7 (b) -4 (c) 4.9 (d) s
b
Let l = 15778.58 - 15779. Which is the closest to 1? (a) l (b) 2 (c) -0.5 (d) -0.3
b
Let d be (-3)/21 + 3*37085/420. Let l = -265 + d. Which is the closest to l? (a) -4 (b) 0.8 (c) 1/12
c
Suppose -3*g + 57 = -66. Let i = 45 - g. Suppose 4*v = -3*h, h = -5*v - i*h. Which is the closest to v? (a) 1/6 (b) 3/2 (c) -0.3
a
Let u = 0.86 - 0.8. Let i = -25.2 - -28.6. Let s = -7.4 + i. What is the nearest to -1/4 in s, u, 0.5?
u
Let l be 15/(-18)*1/5. Let u be -3 + 0 + 6/5. Let n = 1723/5349 - -20/1783. Which is the closest to n? (a) -0.1 (b) u (c) l
a
Let h = -312 + 282. Let w = 30 + h. Which is the closest to 2/5? (a) w (b) 0.2 (c) 0.5
c
Let g be (-2)/(-6 - 14 - -18). Which is the nearest to -3? (a) -3 (b) -0.06 (c) 11 (d) g
a
Let o = 6757 + -6756. Let w = 0.15 - 0.05. Which is the closest to -18? (a) w (b) o (c) 3
a
Let n = 30.572 + -293.572. Which is the closest to 4? (a) 0.1 (b) -2/3 (c) n
a
Let j = 3 - 1. Let n = 4600 + -4600. What is the closest to 0.1 in n, j, -0.2?
n
Let v = 0.04887 - -0.21113. Which is the nearest to 0.1? (a) 0 (b) v (c) -0.02 (d) -4
a
Let u = -30.9 + 31. Let y = -0.4 - 0.1. Let h = 2795 + -2790. Which is the closest to u? (a) h (b) y (c) 2/5
c
Let p = 1091 + -1091.2. Which is the nearest to -2? (a) p (b) 14 (c) 3
a
Let x = -8.86 + 9.86. Let l = -23 - -25. Which is the closest to l? (a) 2 (b) x (c) -2/11 (d) 0.08
a
Let z = -0.279 - 0.011. Let h = -1.29 - z. Let k = 2.5 + -2.4. Which is the nearest to h? (a) -0.6 (b) k (c) 5/3
a
Let x = 2 + -2.1. Let v = 55 + -17.4. Let g = v + -37.7. Which is the nearest to x? (a) 2 (b) g (c) 3/5
b
Suppose 726*f - 707*f - 19 = 0. Which is the closest to f? (a) -12 (b) 5 (c) -5 (d) 2/7
d
Let p = -833 + 588. Let k = p + 241. Which is the nearest to -0.3? (a) 1/6 (b) k (c) -3
a
Let y = -4360 - -4360. Let j = -983/9 - -109. What is the closest to y in j, 4, -6?
j
Let k = -34 + 43. Let n(b) = -3*b + 28. Let v be n(k). Let z = 0.1 + 0. What is the closest to v in z, 5, -5?
z
Let x = -8 - -11. Let y = -4 + 2. Suppose -46*u + 139*u = -372. What is the nearest to -1/4 in y, u, x?
y
Let r = 216 + -211.46. Let h = -0.552 - -1.092. Let g = h - r. What is the closest to -0.3 in 1/2, g, -1/3?
-1/3
Let h = 0.63 + -0.77. Let j = -97 + 150. Let d = j - 52.6. Which is the nearest to h? (a) d (b) -1/5 (c) -1/4
b
Let y = -197 + 186.9. Let j = y - -10. Let l = 5.3 + 4.7. Which is the closest to l? (a) j (b) 3 (c) 5
c
Let s = -4571 - -4576. Which is the nearest to -1? (a) -6 (b) s (c) -0.39
c
Suppose -5*k + 4*n + 12 = 0, -2*n + 6 = 3*k - 10. Suppose -k*s + o = -19, -o - 2 - 5 = -s. Which is the closest to 4? (a) s (b) -2/7 (c) 5
a
Let s = -2 + 7. Let p = 0.1693 - 0.1693. What is the nearest to -14 in s, 0.3, p?
p
Let m be 1/4*2 - (-56)/112. Which is the closest to m? (a) -19 (b) 4/7 (c) -2 (d) -1.1
b
Let h = 24.1471 + 0.8529. Which is the nearest to 0.4? (a) 1/4 (b) 1/2 (c) h
b
Let g(b) = b**3 + 39*b**2 + 123*b + 536. Let r be g(-36). What is the closest to r in -1, -3, -4?
-4
Let y be (-21)/3 - (-5 + (-8 - 4 - -13)). Which is the nearest to -0.12? (a) y (b) 2/5 (c) -27/4
b
Let u be 10*(-8336)/(-41720) + -2. Let n = 2092/3129 + u. Which is the closest to n? (a) 0 (b) 4 (c) 1 (d) 25
c
Let w = 0 - 0. Let g(k) = -k**3 - 9*k**2 + 26*k + 48. Let t = -268 - -257. Let n be g(t). What is the nearest to w in -2, n, -0.4?
-0.4
Let f = 1.46 + 27.54. Let i = f + -24. What is the closest to 0.1 in i, 2, 1/3?
1/3
Let n = -1/68699 + 68701/137398. What is the closest to -2/7 in -13.25, 5, n?
n
Let v = -6422 + 6833. What is the nearest to 1 in -2, v, 0.5?
0.5
Let q be ((-6264)/12)/29 - (-7 + 1). Let u = 0.3 - 0.2. Which is the nearest to -2/5? (a) 1/2 (b) u (c) q
b
Let p = 4 - 1. Let z = -10.7 + 1.1. Let v = -9.6 - z. What is the nearest to v in 0.5, 4, p?
0.5
Let w be ((-3)/9 + 1)/((-10)/3 + 0). What is the nearest to -3 in 0.1, 5, 3, w?
w
Let a = 58.39 + -42.89. What is the closest to 1/4 in a, -1/10, 1/2?
1/2
Let x be (-231)/2541 + (-2)/((-308)/(-382)). Which is the nearest to -5? (a) 3 (b) x (c) -2/3
b
Let h = 6 + -6.3. Let k = -181.3 + 63.4. Let l = -118 - k. Which is the closest to l? (a) 0.3 (b) h (c) 1
b
Let h = -148/5 + 30. Let w = 6924.7 - 6541. Let t = w + -384. Which is the nearest to 0.1? (a) t (b) 2/9 (c) h
b
Suppose 0 = -30*y + 20*y - 40. Let v = -2.34 + 1.34. Which is the closest to v? (a) 0.1 (b) y (c) -2
c
Let m = -1111.1 - -1110.26. Which is the nearest to m? (a) 0 (b) 3/2 (c) -0.5
c
Suppose 27*l + 109*l = -680. What is the nearest to 2/3 in 1/2, 3, 0.012, l?
1/2
Let z = -162 + 109. Let c = z + 67. Let g be (-87)/1015 - (0 + (-4)/c). What is the closest to -3 in -6, g, 1/8?
-6
Let x(g) = 2*g**2 - 46*g + 256. Let s be x(13). Let k = 0.38 - -0.62. Which is the closest to -1? (a) s (b) k (c) -2/9
c
Let v = 5900 + -23601/4. Which is the nearest to 54/11? (a) 0.1 (b) 3/7 (c) v (d) -1
b
Let u = 13099 + -13248. Which is the nearest to 0.2? (a) -1/10 (b) -5 (c) u (d) 2
a
Let f = -1865/13 - 2621/39. Let g = f - -209. What is the closest to g in 0, 4, 3, -0.3?
-0.3
Let x = 6567 - 6562. Which is the closest to -2? (a) 3/5 (b) x (c) 4
a
Let q = 0.5257 - 0.2257. Which is the closest to 1? (a) -5 (b) 1/4 (c) -42 (d) q
d
Let p = -47.306 - -24.332. Let h = p + -0.026. Let y = 18 + h. What is the nearest to -0.1 in y, 5, -1/5?
-1/5
Let x = 347/1602 + 1/178. Let q = 2.4 - 0.4. Let d = -17/541 - 456/2705. What is the nearest to x in d, -3, q?
d
Let d(f) = -2*f**2 - 8*f - 10. Let n be d(-4). Let r be ((0 + 1)*(-25)/n)/5. Let p = -80 - -80.3. Which is the nearest to -0.1? (a) 0.04 (b) p (c) r
a
Let d = 322 + -304. Let u be 0 + (-6)/d + (-3)/9. What is the closest to 1 in 3, u, -0.061?
-0.061
Let i = 2.03 + -18.63. Let g = 16.1 + i. Which is the closest to -1? (a) -6 (b) 0.3 (c) g
c
Let s = -211.6 + 211.2. Let n = 0.3 - 0.3. Let o = n - -0.1. Which is the closest to o? (a) 5 (b) -1 (c) s
c
Let m = -2.268 - -4.268. Which is the closest to 4? (a) -5 (b) -11 (c) m
c
Let l = 8038 + -8040. Which is the nearest to 0.1? (a) 0.07 (b) l (c) 3
a
Let j = 190.52 + -187. Let v = j
|
{
"pile_set_name": "DM Mathematics"
}
|
(b) 192 (c) -5
b
What is the third smallest value in 0.2, -2/7, -1.35113?
0.2
What is the third biggest value in 543, 189, 0.3?
0.3
What is the fifth smallest value in -71, -2, 0.4, 3/2, -3/4, -4?
0.4
Which is the biggest value? (a) -2 (b) 0.7 (c) 4 (d) 0.5 (e) -3364
c
What is the fifth smallest value in -1, 1, 3/5, -13/79, 2?
2
Which is the smallest value? (a) -5 (b) 16.13 (c) -3
a
Which is the biggest value? (a) -20.6 (b) -0.19 (c) 1/27
c
Which is the biggest value? (a) -2 (b) 3.38 (c) 1
b
What is the smallest value in 113, -2, -17?
-17
What is the third smallest value in -42/17, 1.95, -7?
1.95
What is the biggest value in 6, -2/11, -5, 317, 0?
317
What is the second biggest value in -1, 4, -4, -2/41, 1.87, 2?
2
Which is the second biggest value? (a) 3 (b) 471/5 (c) 0.1 (d) -1/3 (e) -0.28
a
What is the second smallest value in -1/83, -0.1, 0.02, 2, -7?
-0.1
What is the third biggest value in 1/6, 1.129, 5, 19/2?
1.129
What is the second biggest value in 35, -13.92, -41?
-13.92
Which is the second biggest value? (a) -2 (b) 1 (c) -5 (d) 38065 (e) 3
e
Which is the third biggest value? (a) -1/5 (b) 0.1635 (c) 1 (d) -2 (e) -5
a
Which is the fifth smallest value? (a) -1/8 (b) -2 (c) 95 (d) -4 (e) -48
c
What is the sixth smallest value in -4, 0.2, 23, -1/2, 0.3, -21/4?
23
What is the second biggest value in 2/3, 1/28, -43.55?
1/28
Which is the second smallest value? (a) -1/351 (b) -0.5 (c) 0.3 (d) 1/7
a
What is the fourth biggest value in -3/8, 1, 291, -0.5, 2/3?
-3/8
Which is the fifth smallest value? (a) -113 (b) 0 (c) -164 (d) 0.1 (e) 5/4
e
Which is the third biggest value? (a) -0.2163 (b) 2 (c) 5 (d) 12
b
What is the biggest value in -15, -0.03, 0.061, -3?
0.061
What is the third smallest value in 1/3, -27048, 4, -1/3?
1/3
What is the fourth smallest value in 1/60, -0.1, -1/5, 536?
536
Which is the second biggest value? (a) 6 (b) -23 (c) -5 (d) 9 (e) -1/2
a
Which is the smallest value? (a) 1/144 (b) 1/67 (c) -5 (d) 3
c
Which is the biggest value? (a) -2.1377 (b) -4/7 (c) -0.2 (d) -5 (e) 0.04 (f) 0.4
f
Which is the fourth biggest value? (a) -1/3 (b) -26 (c) 0.03 (d) 9 (e) 8 (f) -1/2
a
What is the fourth smallest value in -15/2, 0.07, 0.4, -0.66?
0.4
Which is the biggest value? (a) 2 (b) -28903 (c) -5
a
Which is the second smallest value? (a) 3 (b) 4 (c) 13 (d) -0.02 (e) -41
d
Which is the fourth smallest value? (a) -7/5 (b) -25 (c) -0.198 (d) 4
d
What is the fourth smallest value in -97, -5, -0.06, 5/3, -21?
-0.06
Which is the fourth smallest value? (a) -0.2 (b) -13 (c) 5 (d) -1 (e) 6.54
c
Which is the fourth smallest value? (a) 3 (b) 5 (c) 21 (d) -2/5 (e) 6 (f) 0.1
b
What is the second smallest value in -1/22, 5/133, -1/2?
-1/22
What is the second smallest value in 0.2, 0.4, -0.16655?
0.2
What is the third biggest value in -0.5, 5, -2/57, 5/4?
-2/57
What is the third smallest value in -20, -8/717, -0.1?
-8/717
Which is the biggest value? (a) -603226 (b) 2/5 (c) -2
b
What is the fourth biggest value in 6, -198, 5, 0.1, 2?
0.1
Which is the biggest value? (a) 2/13 (b) -1/2 (c) -3 (d) 1/2 (e) -0.1 (f) -251
d
Which is the second smallest value? (a) -0.15 (b) 1 (c) 0.04873
c
Which is the biggest value? (a) 178 (b) -11 (c) -2/3 (d) 4
a
Which is the third biggest value? (a) -5 (b) -0.5 (c) 1/25957
a
Which is the biggest value? (a) -1 (b) -0.048 (c) 30 (d) 5/4
c
Which is the smallest value? (a) -131 (b) -31 (c) 5 (d) 1
a
Which is the third smallest value? (a) 0 (b) 27.89 (c) 4/11
b
What is the fifth biggest value in 3, 21, 7, 0, -0.1?
-0.1
What is the third smallest value in -4, 6, -107/3, 1/4?
1/4
Which is the biggest value? (a) -0.2 (b) 0.2 (c) 17 (d) 4.9 (e) -19
c
What is the fourth biggest value in 8, 0.5, 0.032, -1, 0.1?
0.032
What is the third smallest value in -4114, 0, 4?
4
Which is the second smallest value? (a) -0.4 (b) 146 (c) 4/5
c
What is the third biggest value in -1, -99/8, 0.0673?
-99/8
What is the fourth smallest value in 13, 3, -4/9, 1, 0.1?
3
What is the smallest value in 3, -136/5, -3, -1/5?
-136/5
Which is the smallest value? (a) 0.1 (b) -32 (c) -1/620
b
Which is the third smallest value? (a) -0.03 (b) -0.07 (c) 0 (d) 1/4
c
What is the second smallest value in 3, -2.09, -5, -2, -1/5?
-2.09
What is the second biggest value in -2/24731, 0, -168?
-2/24731
What is the biggest value in -4, -1/11, 7, -789, 0.2, -0.3?
7
Which is the second biggest value? (a) 2/25 (b) -18 (c) -2/63
c
Which is the smallest value? (a) -10 (b) 2/27 (c) 0.063
a
What is the smallest value in -5, 101, 6/17?
-5
Which is the biggest value? (a) -6 (b) 2/7 (c) -0.07 (d) -0.2 (e) -30
b
What is the third biggest value in 0.4, -2, 131.141?
-2
What is the third smallest value in -0.2, -1/4, -7, -0.0307, -3, 0?
-1/4
What is the third biggest value in 753, -3/52, 0.1?
-3/52
Which is the second smallest value? (a) 4 (b) -5 (c) -13901 (d) -51
d
What is the second smallest value in -8/11, -4/9, -0.1, -29, 1?
-8/11
Which is the sixth smallest value? (a) -3 (b) 0 (c) 20 (d) -1 (e) 1 (f) -5
c
Which is the third smallest value? (a) -1/263 (b) 1244 (c) -2/5
b
What is the sixth biggest value in 2/7, -4, -1/4, -102, 5, 0.2?
-102
What is the fourth smallest value in -4/9, -99, 0, 9?
9
Which is the biggest value? (a) -1 (b) 11198/5 (c) 5 (d) -0.2
b
What is the second smallest value in -0.57, -1, 2/1095?
-0.57
Which is the smallest value? (a) -0.2 (b) -1 (c) 0 (d) 3 (e) -175 (f) -107
e
What is the third smallest value in 0.2, -187.8, 3?
3
Which is the fifth smallest value? (a) 3 (b) -2/3 (c) -2 (d) 238 (e) -0.19
d
What is the second smallest value in -2171, -11, -1/4?
-11
Which is the second biggest value? (a) -4.5 (b) 0.4 (c) -0.3 (d) 5
b
Which is the third smallest value? (a) 1/2 (b) 2 (c) -2/11 (d) 4 (e) 0.445 (f) 5
a
What is the third biggest value in -20, 5/4, 10?
-20
Which is the second biggest value? (a) -2.2 (b) -2/11 (c) 0.3 (d) -0.2 (e) 50
c
What is the fifth biggest value in 12, 2/13, 5, 2, -0.5, -0.46?
-0.46
Which is the third biggest value? (a) 0.1 (b) 5 (c) 11501 (d) -0.013
a
Which is the third biggest value? (a) -25 (b) -17 (c) 1/38
a
What is the second biggest value in 2, 5.757, 3?
3
What is the fifth smallest value in 0.35, 7, -4, 0, -0.3, 9?
7
Which is the sixth biggest value? (a) 5 (b) 0 (c) -1/7 (d) -1 (e) 1/4 (f) 1291
d
What is the second biggest value in 4, 0, -48.05?
0
Which is the third biggest value? (a) 7039 (b) -3 (c) 309
b
Which is the fourth smallest value? (a) -31 (b) -1/302 (c) -1/5 (d) 5
d
Which is the second smallest value? (a) -6/7 (b) 0.12 (c) 0 (d) 8/9 (e) 0.1 (f) -0.4
f
What is the second smallest value in 221, 0.5, -4, 4, -21?
-4
Which is the fourth biggest value? (a) -229 (b) -666 (c) -2 (d) 4
b
What is the biggest value in -8743, -0.2, -2/7?
-0.2
Which is the fourth biggest value? (a) -0.13 (b) 0.3 (c) -27 (d) 0
c
Which is the second smallest value? (a) -19306/9 (b) 4 (c) 0.3
c
Which is the fourth biggest value? (a) -0.1 (b) 476 (c) 7 (d) 2/21 (e) 1 (f) -3
d
What is the biggest value in -3, 1, 0.5, -26, -15, -7/16?
1
Which is the smallest value? (a) -8/11 (b) -34/19 (c) 2/3
b
Which is the second biggest value? (a) 52/3 (b) 3/34 (c) 2
c
Which is the third smallest value? (a) -866 (b) 3 (c) -4/9 (d) 1
d
Which is the fourth smallest value? (a) -3/7 (b) 2/7 (c) -0.1 (d) -786.77
b
What is the second biggest value in -11, -2/9, -1229, -2/15?
-2/9
Which is the third biggest value? (a) 6 (b) -2/11 (c) 5 (d) -1/4 (e) -5 (f) -0.4
b
Which is the fourth smallest value? (a) -4 (b) -44 (c) -27 (d) 3 (e) -6 (f) 4
a
Which is the biggest value? (a) -12 (b) -43 (c) -2/11 (d) 24
d
Which is the fourth biggest value? (a) -2.5 (b) 50 (c) 1 (d) -52 (e) 3
a
Which is the third biggest value? (a) 1/27 (b) 1/10 (c) 1/3 (d) 20 (e) -3/22
b
What is the third biggest value in 29, 0.11, -4, -1/5?
-1/5
Which is the third smallest value? (a) 1/3 (b) -0.01 (c) -30/13 (d) -0.3 (e) -2
d
What is the biggest value in 372/7, 0.48, 0, 2?
372/7
Which is the biggest value? (a) -218 (b) -5 (c) -189 (d) -4
|
{
"pile_set_name": "DM Mathematics"
}
|
930 plus -626.9?
9531303.1
17+-156.96228525
-139.96228525
Calculate 0.04 - 615221928.2388.
-615221928.1988
Subtract 2.1166325673 from 0.4.
-1.7166325673
Total of 0.5 and 70069195733446.
70069195733446.5
347739261+-127
347739134
Work out 163729.021 + 1220473.
1384202.021
What is -678608072 take away -44368?
-678563704
Add -2216.0296854 and -5167.
-7383.0296854
Put together 0.0328 and 0.349783116.
0.382583116
What is the difference between 698708272 and -0.1279?
698708272.1279
Calculate 0.5 + 276576224915975.
276576224915975.5
What is -0.141 minus -320620.92242?
320620.78142
Total of -9862595002.3 and -0.6.
-9862595002.9
Calculate 14 - -220683242587.2.
220683242601.2
Total of 76829682.1 and -6.8.
76829675.3
Calculate -268098 - 60430105.
-60698203
Total of -212535 and -63475.
-276010
Work out 0 + -25147595489870.
-25147595489870
Calculate -17.71242 + 49.06973.
31.35731
20.8 + 8753.19234
8773.99234
Work out 0.031839 - 0.1653058827.
-0.1334668827
Put together 2222591.177 and -23269.
2199322.177
Calculate -1443285 - 2861.79.
-1446146.79
What is -0.144 minus -35844463210?
35844463209.856
Put together -6 and 556812930990.
556812930984
What is 910 plus -49577136.9?
-49576226.9
Sum 9547562 and -3.454695.
9547558.545305
Subtract -0.1 from 98960635262846.
98960635262846.1
Calculate -4622 + -612851484.
-612856106
What is the difference between -26 and -185457.244439?
185431.244439
Total of -0.1 and 12468477277447.
12468477277446.9
What is -0.1 take away -769801518562?
769801518561.9
Subtract 1224649746579 from 0.64.
-1224649746578.36
Work out -119480 + -1544711455.
-1544830935
What is -1648046 take away -1144.52?
-1646901.48
What is 278 take away 173606529297?
-173606529019
What is 1.4905 take away 316558732?
-316558730.5095
What is the distance between -0.05 and 24400864330628?
24400864330628.05
Sum 2 and 192372978825.
192372978827
What is 0.5 take away 14.1738471931?
-13.6738471931
Calculate 0.0278 + 26201502328.
26201502328.0278
What is 12858.940182 less than -0.24?
-12859.180182
Calculate -3 + 184746795052.
184746795049
Total of -69.2469 and 185600.33.
185531.0831
What is -7349 plus -435096459?
-435103808
Work out -0.2 - 1481814887607.
-1481814887607.2
Calculate 3.74494 + 343352.
343355.74494
What is -197131662904 minus 0.015?
-197131662904.015
Work out -1530066 - 86.11801.
-1530152.11801
Put together 0.09736 and 1294.256059.
1294.353419
Calculate -2.8 - 8353932251305.
-8353932251307.8
Add together -728331 and 105634.
-622697
Add together -13744.889 and -81113.
-94857.889
Work out -97432823940 - 156.
-97432824096
Put together 0.0926148 and -808393.
-808392.9073852
Add together -6.77 and -8892.2914.
-8899.0614
What is 1474.5 minus -14989871?
14991345.5
Sum 52.4 and -7526634715.
-7526634662.6
What is the distance between -8075 and -982.8119?
7092.1881
What is -16 minus -28371997581762?
28371997581746
Subtract 0.06394 from -0.01615478657.
-0.08009478657
Work out 897639722572 - 2.
897639722570
Work out -335 - 69983804.
-69984139
Put together 4 and -320365926944.
-320365926940
Work out -104.86385 + 14.138.
-90.72585
What is -198.49 + -34520470487?
-34520470685.49
What is -189213229 take away -72890?
-189140339
What is -489.9744 less than 11092?
11581.9744
What is 48319491 + 8124.668?
48327615.668
Calculate 181082263338 - 0.
181082263338
Calculate 1624337.7 + -67487.
1556850.7
4 - -0.0836439733461
4.0836439733461
Total of 36.0357 and 205.278.
241.3137
Total of 17107038035 and -3.
17107038032
Total of -44 and 9504037430227.
9504037430183
Work out 0.3705 - -712799134.
712799134.3705
Work out 56.3 + 41928947.8.
41929004.1
Total of 7421595216184 and 0.007.
7421595216184.007
4694.216241047 + -0.5
4693.716241047
What is 5834 + -0.156857479?
5833.843142521
Sum -0.48364 and -58456.003.
-58456.48664
What is 136197579616 plus 19.9?
136197579635.9
Add 52.239 and -31.166353.
21.072647
Calculate 0.30941829 + 1.252.
1.56141829
Calculate -36.941619992914 - -0.06.
-36.881619992914
What is the distance between -0.38005562 and 40746?
40746.38005562
What is -227.24 - -35710267?
35710039.76
What is 4423711 take away -177.45812?
4423888.45812
Subtract 0.2 from -5776589897998.
-5776589897998.2
Calculate 91888177.43 - -0.1.
91888177.53
Subtract -662 from -246219586.
-246218924
What is the difference between 29465.7 and 14.845602?
29450.854398
Subtract 104391934399 from 2.2.
-104391934396.8
Add 312 and -701350611.
-701350299
Work out -12400613891590 + 0.2.
-12400613891589.8
What is -33.91 minus 322092.71?
-322126.62
What is 10 - 22445391475326?
-22445391475316
What is 284566 - -0.3238994?
284566.3238994
Work out 698.84 + 69.15166.
767.99166
What is -13 less than -21618884525.9?
-21618884512.9
What is -81891613280259 plus 2?
-81891613280257
Add together -0.5 and 4991.19475821.
4990.69475821
What is -3786.5 - 126567314?
-126571100.5
Calculate -155815619388 + -13.
-155815619401
Sum 0.05 and 789722735165.
789722735165.05
What is -178276.11 + -1162416?
-1340692.11
What is -838594380143 take away -327?
-838594379816
Calculate 2843351298 + -9.99.
2843351288.01
What is -0.014 + -2369777102367?
-2369777102367.014
What is 0.12651138 plus -99427.8?
-99427.67348862
Total of 26900821 and -4917.
26895904
What is -2053791.0299 + 69?
-2053722.0299
What is 73642384 less than -145358?
-73787742
5261.85224 - 10.4
5251.45224
Calculate 117901649 - 0.492.
117901648.508
-0.0517818202 - -0.32
0.2682181798
3.588 + 0.077404330121
3.665404330121
Put together 122.7 and -6.0340819.
116.6659181
Subtract 1696272 from -198.474.
-1696470.474
Calculate 0.386292 + 40836043.
40836043.386292
What is -3 + 1.094306607028?
-1.905693392972
-0.0174650033+0.07
0.0525349967
What is the difference between 3.18 and 16078144717?
16078144713.82
-26.78+1772626
1772599.22
What is 35466 - 0.2092436?
35465.7907564
-3.4 + 12.49034356
9.09034356
Sum 9.4 and -2902.039.
-2892.639
Subtract 0.3 from 91300810571890.
91300810571889.7
What is 86.716852 less than 3732263?
3732176.283148
Put together 0.081460383 and -0.39561.
-0.314149617
190+-1587586332413
-1587586332223
Calculate -0.052 + -492295339689.
-492295339689.052
Add together -3 and 51109131375.015.
51109131372.015
What is the difference between -1 and 2.4985088615?
3.4985088615
Work out 1189510111284 - 0.02.
1189510111283.98
Work out -3576663910 + -171.
-3576664081
Total of -1 and -2243359.907279.
-2243360.907279
What is -7 take away 8847282582?
-8847282589
What is the distance between -263099 and -9630400?
9367301
What is -1927 less than -13792713476?
-13792711549
Total of 0.7 and 9794.3901492.
9795.0901492
-64048.2 - -200594795
200530746.8
Add -13659800593659 and -5.
-13659800593664
What is -1221.3039436 minus 4482?
-5703.3039436
What is 0.170339 plus -1432422839?
-1432422838.829661
What is 172797659477 take away -0.13?
172797659477.13
What is -89278 plus 9.343192?
-89268.656808
14 - 15730031738
-15730031724
Put together -127484 and -117721.
-245205
Total of -36 and 3455200880.
3455200844
Add -83900040.2724 and -16.1.
-83900056.3724
-4702758619168 - -0.9
-4702758619167.1
Calculate -8691262437329 + 22.
-8691262437307
Total of -4.22 and 480045512286.
480045512281.78
What is -4535052 take away -15.8341?
-4535036.1659
Work out -5173663.46414 - -0.5.
-5173662.96414
Calculate -0.0765 - 96959281.24.
-96959281.3165
What is the distance between -81139 and -155210.563?
74071.563
What is the distance between 7 and -3571678140869?
3571678140876
Total of -27.8 and -255027.622.
-255055.422
Sum 1516584.174 and 34692.
1551276.174
Work out 2018 + 38905636.3.
38907654.3
Put together -18501291638 and 13079.
-18501278559
16107011 - -0.82336
16107011.82336
What is -36504.702906 - -0.3536?
-36504.349306
569436256364+-0.3
569436256363.7
What is 3020334.4 - -126490.4?
3146824.8
What is 1190.685 + -867569.7?
-866379.015
Calculate -37513984 + -0.14695.
-37513984.14695
-10366.44 + -95.0765
-10461.5165
0.014 - 3456346163354
-3456346163353.986
80.012+-4256274.8
-4256194.788
What is the distance between 0.19 and 1738141240.9?
1738141240.71
-4278274+-3493525
-7771799
Sum 7452766.3 and 71.4.
7452837.7
Add 1.006896 and 169241.
169242.006896
What is -8.48 + 3286480.3782?
3286471.8982
What is -9546 less than -0.23542096?
9545.76457904
What is the distance between -528949863 and 60?
528949923
1511709+189333985
|
{
"pile_set_name": "DM Mathematics"
}
|
r when 26 is divided by z(-1).
2
Calculate the remainder when 296/20 - (-1)/5 is divided by 9.
6
Let h = 80 - 29. Suppose 5*k = 18 + 27. What is the remainder when h is divided by k?
6
Let y = 53 + -31. Calculate the remainder when y is divided by 12.
10
Let b(y) = y**2 + y - 1. Let k(f) = 2*f**2 - 19. Let n(d) = b(d) - k(d). Let a be n(0). Calculate the remainder when 29 is divided by a*(-6)/(-9) - 2.
9
Let y(i) = i + 77. Calculate the remainder when y(-23) is divided by 7.
5
Let q(j) = -j**2 + 12*j - 14. What is the remainder when (8/(-20))/(2/(-50)) is divided by q(10)?
4
Suppose -2*b + 26 + 2 = 0. Calculate the remainder when b is divided by 6.
2
Suppose -2*i = 2 - 18. Let a = 28 - 20. What is the remainder when i + -8 - 3*-7 is divided by a?
5
Let p(g) = -2*g**3 + g**2 + g + 30. Suppose -5*j = -t + 2*t + 4, 5*j + 15 = 0. What is the remainder when p(0) is divided by t?
8
Let g(j) = -66*j**3 + 3*j**2 + 4*j + 2. Calculate the remainder when g(-1) is divided by 23.
21
Let q = -1 + 2. Let g be 14 - (3 + q/(-1)). Suppose 2*x = -0*m - 5*m + 39, 0 = -2*m - 2*x + g. Calculate the remainder when m is divided by 5.
4
Let m(v) = 3*v**3 + v**2 - 4*v - 4. Let b(i) = -i - 1. Let r(n) = 4*b(n) - m(n). Let c be r(-1). Calculate the remainder when 18 is divided by 12 - -4*(-1)/c.
8
Calculate the remainder when 47 is divided by (-38)/57 - (-64)/6.
7
Let w = -101 + 154. Calculate the remainder when w is divided by 18.
17
Let h(i) = 2*i**2 + 2*i + 2. Let b be h(-1). Suppose b*c + 130 = 7*c. What is the remainder when c is divided by 9?
8
Suppose -4*c - 3*g = -329, 9*c - 4*c - 440 = 2*g. Calculate the remainder when c is divided by (4 - 37)/(2/((-16)/12)).
20
Let q(u) = u**2 - 2*u - 3. Let r be q(-2). Suppose -g + 3*t + 6 = 2*g, r*t = -5*g + 50. Let s = -1 - -11. What is the remainder when s is divided by g?
4
Let o(a) = 4*a**2 - a + 1. Let y be o(2). Suppose w + i = 6, 4*i = -w + y - 3. What is the remainder when 6 is divided by w?
2
Let l(o) = o**3 - o. Let u be l(0). Suppose 5*w + z - 105 = 0, -5*w = -z - u*z - 105. Calculate the remainder when 41 is divided by w.
20
Let f = -2 - -5. Suppose 0 = 3*h - 7*h + 20. What is the remainder when h is divided by f?
2
Let k(o) = o - 5. Let a be k(11). Calculate the remainder when ((-2)/a)/(3/(-207)) is divided by 13 - (2 + -3 + 2).
11
Let j = 23 + -32. Let h = 0 + j. Let r(w) = -w - 5. What is the remainder when 10 is divided by r(h)?
2
Suppose 5*y = y - 36. Let a = 23 + y. Calculate the remainder when 53 is divided by a.
11
Let v = 20 + -13. Suppose 2*y + 75 = v*y. Calculate the remainder when 57 is divided by y.
12
Suppose 10 = 2*x - 8. What is the remainder when 42 is divided by x?
6
Suppose -v + 505 = 2*v + 2*j, 3*j = 5*v - 810. Calculate the remainder when v is divided by 28.
25
Calculate the remainder when 93 is divided by -6*(224/(-6))/7.
29
Suppose -q - x - 4 = -8, -4*q = 5*x - 16. Suppose q*n + 197 = 5*m, -m = -4*n - n - 52. Calculate the remainder when m is divided by 19.
18
Let h be 42/10 + (-2)/10. Let g = h + -2. Suppose -3*p = -4*v - 88, -g = 3*v - 8. Calculate the remainder when p is divided by 11.
10
Let i be 5 + 1*(2 - 3). Suppose 0 = 4*f - w - 31, i*f + 5*w - 18 = -5. Suppose -x + 6 + f = 0. Calculate the remainder when 25 is divided by x.
12
Suppose -b - 3*b = -432. Suppose -b + 18 = -5*f. Calculate the remainder when f is divided by 10.
8
Let d = -9 + 15. Let w be (-9)/(-15)*(4 + 1). What is the remainder when w*(7 + 2 - 2) is divided by d?
3
Suppose 3*x = -2*x + 15. Suppose -11 = -7*f + 17. Calculate the remainder when f is divided by x.
1
Let a = -126 - -143. Suppose -2*y - y - g = -2, -y + 2*g + 10 = 0. What is the remainder when y*7/(-4)*-14 is divided by a?
15
Calculate the remainder when -1*(-2)/(-3)*10506/(-68) is divided by 26.
25
Let n(s) = 0 + 1 - s + 2. Let o be n(-5). Suppose -2*p - o = -4*p. What is the remainder when p is divided by 2?
0
Suppose -5*p + 0*p = -255. Suppose 0 = -4*y + p + 5. What is the remainder when 39 is divided by y?
11
Let u(k) = k**3 + 13*k**2 + 2*k + 5. Let a(n) = n**2 + 1. Let t(g) = -6*a(g) + u(g). Let v = -3 + 13. Calculate the remainder when t(-3) is divided by v.
9
Calculate the remainder when ((-4)/4)/(1/(-60)) is divided by 26.
8
Suppose 3*a - 51 = -a - q, q + 61 = 4*a. What is the remainder when 54 is divided by a?
12
Let r(j) = j**2 + 6*j + 3. Let u be r(-6). Let x(b) = 2*b**2 - 3. Calculate the remainder when x(u) is divided by 4.
3
Let q(m) = m + 10. Let j be q(0). Calculate the remainder when (-8)/j + (-2290)/(-50) is divided by 12.
9
Let q = 326 + -199. Calculate the remainder when q is divided by 32.
31
Suppose 2*t + 4*y = 30, 3 = 5*t - 3*t - 5*y. What is the remainder when (5/2)/(2/12) is divided by t?
6
Let o be (-4 + 4)/(-1 + 3). Suppose -b = -3*c - 4 + 13, 0 = -b - 5*c + 31. What is the remainder when o/(-3) + -3 - -14 is divided by b?
5
Suppose 87 - 9 = 3*c. What is the remainder when 50 is divided by c?
24
Let z(y) = -6*y + 1. Calculate the remainder when 73 is divided by z(-3).
16
Let j(o) = -o**2 - o - 5. Let u(p) = p**2 + p + 1. Let k(v) = j(v) + 5*u(v). Calculate the remainder when k(-4) is divided by 17.
14
Let j be (1 + 0)*(-1 - 2). Let p(o) = -2*o**3 - 4*o**2 - 3*o - 4. Calculate the remainder when p(j) is divided by 8.
7
Suppose o = u - 3*u + 15, -4*u = -4. What is the remainder when 49 is divided by o?
10
Let h(g) = g**3 - 4*g**2 + 6*g. Let d be h(4). Suppose w = j + j + 12, w + 2*j = d. Let x = -5 + 39. What is the remainder when x is divided by w?
16
Suppose 0 = -2*b - 0*b, -24 = -4*x - 3*b. Calculate the remainder when 17 is divided by x.
5
Suppose -l = 4*j - 6*l - 118, -3*l = -j + 26. Calculate the remainder when 125 is divided by j.
29
Let y(n) = n**3 - 21*n**2 + 21*n - 12. What is the remainder when y(20) is divided by (-8)/(-3) + (-2)/(-6)?
2
What is the remainder when 56 is divided by (15/(-21) - -1) + 164/14?
8
Let c(q) = 31*q**3 - q**2 + 1. Let k(m) = m + 7. Let x be k(-6). Calculate the remainder when c(x) is divided by 11.
9
Let z = 6 - -27. Suppose 27*r + 48 = 31*r. What is the remainder when z is divided by r?
9
What is the remainder when -122*2/(-4) - 1 is divided by 21?
18
Suppose -3*z = 4*o - 53, -56 = -4*z - 2*o - 2. Let q be ((-1)/(-1))/2*4. Suppose -q*w + 8 = -0*w. What is the remainder when z is divided by w?
3
Let c = 3 + -2. Let p be -11 + (0 - -2)*1. Let z = p + 12. Calculate the remainder when z is divided by c.
0
Calculate the remainder when (30 + 0)*(3 + (-63)/35) is divided by 20.
16
Let w be 16/20*(-1 - 4). Calculate the remainder when 43 is divided by (-86)/w + 3/6.
21
Let t(q) = q - 2. Let c be t(2). Calculate the remainder when c + 4/(4/23) is divided by 6.
5
Let z = 0 - -1. What is the remainder when 34 is divided by 1/2*z*12?
4
Suppose -4*z - 3*w + 19 = 0, -4*w + 21 = 5*z - 3*w. What is the remainder when z is divided by 2?
0
Let z(o) = 28*o**2 + 2*o + 1. What is the remainder when z(-1) is divided by 7?
6
Let m = -6 - -22. Let j(i) = 19*i**2 + 4*i - 9. Let o(p) = -9*p**2 - 2*p + 4. Let z(u) = -2*j(u) - 5*o(u). What is the remainder when z(2) is divided by m?
14
Let v(a) = 3*a**2 + 2. Calculate the remainder when 27 is divided by v(2).
13
Suppose -y + 3*t = -2*y + 25, 4*y = 3*t + 70. Let m = 56 - y. What is the remainder when m is divided by 19?
18
What is the remainder when 6/(-4)*(-22)/3 is divided by 7?
4
Let t(y) = -y**2 + y + 18. What is the remainder when t(0) is divided by 7?
4
What is the remainder when 11*6 + 1 - 4 is divided by 22?
19
Suppose 5*i + 16 = -q, -4*i + 20 = 2*q - 7*i. Suppose -30 = -5*a + 2*h, q*a = -3*h + 77 - 30. What is the remainder when 30 is divided by a?
6
Let g be (76/(-6))/(2/6). Let j = 27 + g. What is the remainder when 20 is divided by j*((-3)/(-3) - 2)?
9
Let n(i) = 49*i**2 - 2*i + 1. Calculate the remainder when n(1) is divided by (2 + -1)/((15/(-3))/(-50)).
8
Let n be 2*1/(-2) - -3. Suppose -5*p = 5*x - 105, 4*p = n*x + 3*p - 42. What is the remainder when x is divided by 6?
3
Suppose 0 = -3*a + g + 2*g - 3, a + 5*g = 11. Suppose -a = v + m, 0 = 3*v + m - 5*m - 25. What is the remainder when v is divided by 3?
0
Calculate the remainder when (2 + 0)*57/1 is divided by 29.
27
Suppose z - 27 = -5*b, -z - 5*b = 2*z - 31. Suppose -z*v + 5*v + 4*w = 16, -4*v - w +
|
{
"pile_set_name": "DM Mathematics"
}
|
5
-31138 divided by -1
31138
Calculate 746624 divided by -2432.
-307
Calculate 2190390 divided by -3.
-730130
What is -395 divided by -639?
395/639
What is 12 divided by -504?
-1/42
Divide 377 by -51.
-377/51
What is -279 divided by 4087?
-279/4087
Calculate -13342 divided by -3.
13342/3
-119712 divided by 172
-696
What is 1486529 divided by -737?
-2017
-1036216 divided by -129527
8
What is 842 divided by -27?
-842/27
Calculate 275572 divided by 68893.
4
Calculate 14 divided by -794.
-7/397
Calculate -189 divided by -129.
63/43
Divide -153840 by -10.
15384
Calculate -2702 divided by -12.
1351/6
Divide -10057 by -113.
89
348000 divided by -150
-2320
-2 divided by 387
-2/387
78635 divided by 2
78635/2
-15973480 divided by 4
-3993370
Divide 165 by -33.
-5
5722622 divided by -106
-53987
Divide -711015 by 1.
-711015
Calculate 5032610 divided by 10.
503261
79239 divided by 1299
61
What is -8571 divided by -27?
2857/9
Calculate 59422 divided by -3.
-59422/3
-111005 divided by 111005
-1
Calculate 170 divided by -111.
-170/111
Calculate 3 divided by 56380.
3/56380
Calculate -3 divided by 188202.
-1/62734
Calculate 146968 divided by 146968.
1
Divide 0 by 707721.
0
Calculate -93168 divided by -48.
1941
What is -3879 divided by -4?
3879/4
142090 divided by 2186
65
Calculate -64735 divided by -11.
5885
Divide 106489 by 18.
106489/18
Divide -4159 by -9.
4159/9
-4 divided by -271827
4/271827
186 divided by 82
93/41
What is 484 divided by -432?
-121/108
14553 divided by 21
693
What is 209880 divided by 120?
1749
What is -984528 divided by 4?
-246132
657768 divided by 6
109628
Calculate 372669 divided by 11293.
33
Calculate 2 divided by -49037.
-2/49037
Calculate -69101 divided by 6.
-69101/6
Calculate 5955 divided by -28.
-5955/28
Calculate -692406 divided by -18.
38467
0 divided by 66822
0
96075 divided by -15
-6405
What is 831288 divided by -4?
-207822
Calculate -511173 divided by 13.
-39321
-57485 divided by 5
-11497
What is -307883 divided by 499?
-617
Divide 42 by 97.
42/97
Calculate -15515 divided by -5.
3103
Calculate -268660 divided by 20.
-13433
-760115 divided by -5
152023
What is -112910 divided by 14?
-8065
What is -258517 divided by 7?
-36931
What is -8169 divided by 1?
-8169
What is -40437 divided by -2?
40437/2
Calculate 49288 divided by 12322.
4
What is -26250 divided by 4375?
-6
What is -2540 divided by 685?
-508/137
-1095143 divided by -101
10843
Calculate -594 divided by 374.
-27/17
-5 divided by -1960
1/392
26928 divided by -3
-8976
2427 divided by -9
-809/3
Divide 8851 by 167.
53
Divide -2341000 by -8.
292625
Divide 22424 by 198.
11212/99
-2811 divided by -1
2811
Divide -470840 by 316.
-1490
Divide 6 by 4972.
3/2486
Calculate -2552 divided by 324.
-638/81
What is -10752 divided by -5?
10752/5
1753404 divided by -4
-438351
-145 divided by 39
-145/39
Calculate -57016575 divided by -3.
19005525
Calculate 2 divided by -211276.
-1/105638
What is 1092312 divided by -60684?
-18
What is -23618 divided by -14?
1687
521250 divided by -5
-104250
Calculate 44813 divided by 44813.
1
What is 4 divided by 639388?
1/159847
What is 206270 divided by -5?
-41254
Calculate 25 divided by -267115.
-5/53423
Divide 3 by 290838.
1/96946
Calculate -5 divided by -148773.
5/148773
Divide 27634 by 16.
13817/8
Calculate -8921012 divided by -2.
4460506
8140002 divided by -6
-1356667
Divide 4400 by -44.
-100
-5667 divided by 2
-5667/2
Divide -1 by 6401.
-1/6401
What is 39986 divided by -5?
-39986/5
Calculate -69 divided by 12672.
-23/4224
Calculate 617772 divided by -3.
-205924
Calculate 1784 divided by 389.
1784/389
Calculate -460 divided by -460.
1
Calculate -62 divided by 1774.
-31/887
815080 divided by 29110
28
Calculate 2 divided by -6771.
-2/6771
What is -48184 divided by -6?
24092/3
What is -5701 divided by 5?
-5701/5
Calculate 139910 divided by 27982.
5
Divide 308774 by 2.
154387
79156 divided by -6
-39578/3
Calculate 2 divided by 73726.
1/36863
152807 divided by 41
3727
Divide 2 by 1165495.
2/1165495
3 divided by -1522
-3/1522
Divide 86 by -16983.
-86/16983
-5 divided by -3042
5/3042
-222513 divided by 74171
-3
Divide 696882 by 6.
116147
Calculate -362499 divided by 6.
-120833/2
-2766 divided by -3
922
Divide 14022 by 2.
7011
Divide -71693 by 3.
-71693/3
What is -13329 divided by 19?
-13329/19
Calculate 20860 divided by 70.
298
5993 divided by 3
5993/3
82 divided by -546
-41/273
What is -597351 divided by -7197?
83
-1067 divided by 82
-1067/82
3 divided by 220072
3/220072
Divide 164501 by 1.
164501
Divide 44 by -5952.
-11/1488
Calculate 167264 divided by 41816.
4
Calculate 3027 divided by -93.
-1009/31
31 divided by -12264
-31/12264
What is 99131 divided by 99131?
1
What is 1551956 divided by 221708?
7
Divide 474405 by 5.
94881
Calculate 251 divided by 855.
251/855
-11706 divided by 212
-5853/106
What is 11222 divided by -10?
-5611/5
What is 17 divided by 95226?
17/95226
-13 divided by -4881
13/4881
Divide 42208 by -11.
-42208/11
What is -588 divided by 21?
-28
What is -39 divided by 2407?
-39/2407
Calculate 57 divided by 306.
19/102
-242916 divided by 121458
-2
Divide 622900 by 2.
311450
Calculate -2 divided by 7823.
-2/7823
162 divided by -5738
-81/2869
Calculate 12 divided by 72965.
12/72965
Calculate 408 divided by 2.
204
Calculate -877 divided by -129.
877/129
43704 divided by -2428
-18
-265899 divided by -5
265899/5
What is 128 divided by -103?
-128/103
Divide 16266 by 6.
2711
Divide -31998 by -1.
31998
Divide -10439 by -8.
10439/8
What is 143 divided by 988?
11/76
Calculate -3 divided by 33195.
-1/11065
Calculate 146990 divided by -73495.
-2
What is 258 divided by 2157?
86/719
Calculate 776800 divided by 10.
77680
Divide -1744 by 94.
-872/47
Divide 1 by 66825.
1/66825
-6969 divided by -23
303
Divide -118 by 16910.
-59/8455
1991 divided by 3
1991/3
Calculate 1042932 divided by -2.
-521466
What is 81600 divided by -60?
-1360
Calculate -173 divided by -86.
173/86
Calculate 5322275 divided by -313075.
-17
What is 59850 divided by 350?
171
What is -13540 divided by -6770?
2
Divide -1247 by -27.
1247/27
-2993824 divided by -1
2993824
Divide 1218060 by -27068.
-45
-193 divided by -44
193/44
Divide -1 by -21233.
1/21233
Divide 408000 by 17.
24000
Calculate -572226 divided by 286113.
-2
What is -6 divided by -5810?
3/2905
Calculate -10 divided by 24928.
-5/12464
Divide 77824 by -16.
-4864
25 divided by -21401
-25/21401
Divide -50555 by -1.
50555
What is -3 divided by 1373870?
-3/1373870
Divide -23640 by 2955.
-8
-1055919 divided by 53
-19923
Calculate 4313 divided by -1.
-4313
-214 divided by 1944
-107/972
Divide 477823 by -4.
-477823/4
Calculate -3 divided by 1867.
-3/1867
Divide 54442 by -2.
-27221
Divide 6992 by -38.
-184
What is -134693 divided by 797?
-169
What is 46 divided by 283?
46/283
Divide -19720 by 3944.
-5
77712 divided by -77712
-1
Calculate -2063206 divided by -21949.
94
Calculate 1546 divided by 121.
1546/121
Calculate 71811 divided by -303.
-237
Calculate -78408 divided by 22.
-3564
Divide -4 by -67308.
1/16827
What is 167348 divided by 4922?
34
Divide 963833 by 491.
1963
Calculate -4 divided by 99681.
-4/99681
Calculate -472072 divided by 59009.
-8
Calculate -1814895 divided by -604965.
3
Calculate -17590 divided by 8795.
-2
Divide 1641984 by 6.
273664
-137180 divided by 4
-34295
What is 2209 divided by -981?
-2209/981
What is 28914 divided by -14457?
-2
What is 1629 divided by 140?
1629/140
-25644 divided by -12822
2
Divide -6051 by 255.
-2017/85
Divide -44423 by -1433.
31
-24624 divided by -24624
1
16 divided by 7341
16/7341
Divide -93153 by -3.
31051
Divide 1205 by -354.
-1205/354
What is 178707 divided by -178707?
-1
What is -4032156 divided by 3?
-1344052
Divide -28 by 2769.
-28/2769
What is -31 divided by 400?
-31/400
Divide 69597 by -11.
-6327
Divide 947562 by -98.
-9669
Calculate 663586 divided by -4774.
-139
What is 136 divided by 467?
136/467
-46629 divided by 297
-157
Divide -631134 by -3.
210378
-110960 divided by -4
27740
What is -206192 divided by -1?
206192
What is 2455 divided by -9?
-2455/9
Divide -39758 by 2.
-19879
-5 divided by -64204
5/64204
What is -1128 divided by -2764?
282/691
Calculate -3496290 divided by -1748145.
2
What is -43846 divided by 22?
-1993
-8663 divided by -2
8663/2
-20 divided by -60807
20/60807
Calc
|
{
"pile_set_name": "DM Mathematics"
}
|
/35)/(4 - (-95)/(-25)). Suppose -x = -5*t - 3*k, t - 31 = -k + 2005. What is the hundreds digit of t?
0
Suppose 0 = 20*x + x - 198009. Suppose 14*s + 833 = x. What is the tens digit of s?
1
What is the ten thousands digit of ((-25158)/(-15))/(634/23775)?
6
Suppose 0 = u + 1, 3*q - 3230 - 9320 = -5*u. What is the hundreds digit of q?
1
Suppose 426*s - 401*s - 118750 = 0. What is the tens digit of s?
5
Let q be (-224)/(-35) + (-2)/5. Suppose p + 5*w = -p - 11, -3*p = -3*w + q. What is the tens digit of 3/(-2)*116/p?
5
Let h be 4/((-2)/(-4)*2). Let i(n) = 6*n**3 - 5*n - h*n**2 + 4*n**3 - 12*n**3 - 4. What is the tens digit of i(-5)?
7
Suppose 3*t + 44*t = -325*t + 30204540. What is the tens digit of t?
9
Let t be 2742/(-54) - (-3)/((-81)/6). Let d = t - -85. What is the tens digit of d?
3
Suppose -5*n - 15 = 0, -4 = -4*r - 5*n - 11. Let l be (-6)/(-4)*(1 - -59 - r). Suppose 3*t + 50 = m, 5*t - l = -4*m + 28. What is the tens digit of m?
3
Suppose 24*m - 2289 = -7593. Let l = 276 - m. What is the hundreds digit of l?
4
What is the tens digit of 1 - -1 - 1 - (-25064 - -177)?
8
Let t(v) = v**2 - 2*v - 21. Suppose 14*b = 11*b + 48. Suppose 39 = -5*z - b. What is the units digit of t(z)?
2
Let m(w) = -w**3 - 32*w**2 - 58*w + 64. Let p be m(-30). Suppose -3*d + 4*h + 766 = -0*d, 2*h + 1008 = p*d. What is the hundreds digit of d?
2
Suppose 339*s = 3*t + 343*s - 64038, 4*s + 12 = 0. What is the units digit of t?
0
Let y be 1*(-537)/6*-4. Let f(d) = d**3 + 20*d**2 - 11*d - 7. Let c be f(-21). Let q = c + y. What is the units digit of q?
1
What is the hundreds digit of (-303348)/(459/(-27)) + -17?
8
Let w be (-234)/10*80/(-24). Let m = -110 + w. What is the units digit of 381/4 - (-8)/m?
5
Let n(q) = 9*q + 273. Let d be n(25). Suppose -7*w + 2*w + 3*m = -32, 4*w + 2*m = 8. Suppose 0 = 2*y + w*y - d. What is the units digit of y?
3
Let u(p) = -2*p**3 + 39*p**2 - 18. What is the thousands digit of u(-12)?
9
Suppose 85*o - 684456 = -73*o. What is the thousands digit of o?
4
Suppose -114*j = 46912 - 472816. What is the hundreds digit of j?
7
Let t(g) = g**3 - 3*g**2 + 5*g - 2. Let q be (-3)/(4/(-6) - (-34)/24). Let c(o) = 3*o + 15. Let s be c(q). What is the units digit of t(s)?
3
Suppose 0 = 18*n + 22*n - 1244720. What is the ten thousands digit of n?
3
Suppose 2*h - 5*u + u = -8, -4*h = -2*u - 14. Suppose -h*q = -16*q + 3680. What is the hundreds digit of q?
3
Suppose -6 = -i - 2. Let g = 391 - -196. Suppose 0 = -6*s + 4*s - m + 233, -5*s - i*m = -g. What is the tens digit of s?
1
Let u be (-14)/(-8) + 65/52. Suppose 7*t - 2*t - u*m - 2646 = 0, 2*t + 3*m - 1071 = 0. What is the units digit of t?
1
Let v = 2 + 10. Suppose 4*h = v, 4*m + 0*h - 26 = -2*h. Suppose 6*d = d + m*i + 780, d = -i + 156. What is the tens digit of d?
5
Suppose d = -m + 8868, 4*d - 14767 - 29573 = -5*m. What is the hundreds digit of m?
8
Let d = -98 + 60. Let y = d + 44. What is the tens digit of 18 - (y/21 + 6/(-21))?
1
Let y(q) = -127*q + 31. Let j be y(-2). Suppose -n + j = w - 59, w - 2*n = 353. What is the hundreds digit of w?
3
Let j(c) = 4*c + 23. Let q be j(-19). Let x = q - -56. Suppose -22 = -x*k + 41. What is the units digit of k?
1
Suppose 15475 = 2*u + 3*d, -4*d + 23214 = -0*u + 3*u. What is the hundreds digit of u?
7
Let i = 113 - 109. Let p be -2 + -59 - (i/(-1) - -1). Let f = p + 79. What is the tens digit of f?
2
Let n be (-3)/(-5) - ((-6768)/(-45))/4. Let m = 241 - 124. Let o = n + m. What is the units digit of o?
0
Let j(z) = 51*z**2 + 6*z - 3. Let b(i) = -i + 1. Let w(l) = 5*b(l) + j(l). Let o be w(-1). Let p = 152 - o. What is the units digit of p?
0
Suppose 2*m + 2*c = 35430, 69976 = 5*m - 4*c - 18536. What is the ten thousands digit of m?
1
Let m = 42 - 15. Suppose 0 = -4*h - 23 + m. What is the units digit of 8*2 + (h - 5) + 1?
3
Let n = -724 + 755. Suppose 15*m = n*m - 29728. What is the thousands digit of m?
1
Suppose 265*p + 22671 = 5*o + 264*p, -4*o - 5*p + 18160 = 0. What is the tens digit of o?
3
Suppose 0 = -40*q - 645 - 115. Let p(z) = -z**3 - 17*z**2 - 61*z - 4. What is the units digit of p(q)?
7
Suppose 24 = 63*h - 62*h. Let g = h - -131. What is the units digit of g?
5
Suppose 0 = 186*p + 1909847 - 8553023. What is the units digit of p?
6
Let h be -12*3*(-181539)/81. What is the units digit of h/322 - (-6)/14?
1
Let n(k) = 5*k**3 - 11*k**2 + 5*k - 7517. Let y(q) = q**3 - 2*q**2 + q - 1503. Let b(s) = 2*n(s) - 11*y(s). What is the thousands digit of b(0)?
1
Suppose 3*n + 1900 - 11293 = 0. What is the units digit of n?
1
Suppose -4*u + 305*m + 216596 = 301*m, 108316 = 2*u + m. What is the thousands digit of u?
4
Let p(g) = 9358*g + 321. What is the hundreds digit of p(2)?
0
Let b be (3 - 34/10) + (-81)/(-15). Let p(g) = -6*g**2 + 2*g + 4. Let f be p(b). Let w = f + 238. What is the hundreds digit of w?
1
What is the tens digit of 2561/(-23*(-23)/2116)?
4
Let o be (-4)/9 + (-68)/9 - -3. What is the hundreds digit of 568/((2 - o) + -5)?
2
Let g = 19722 + -11938. Suppose -4*o - g = -18*o. What is the tens digit of o?
5
Let w be -3 + (0 - ((-3 - -5) + 21)). What is the tens digit of ((-117)/w)/((-6)/(-176)) - -4?
3
Suppose -5*z + 26 = -4*a - 25, 3*a + 15 = -4*z. What is the units digit of (-2118)/a*(-3)/6*-6?
6
Suppose 2 = -2*g - 5*n, 6*g = g - 2*n - 26. Let k(a) = -6*a**3 - 8*a**2 - 6*a + 14. What is the tens digit of k(g)?
5
Suppose -3*d = -2 - 34. Suppose 2*i = -3*i + 75. Suppose 111 = d*w + i. What is the units digit of w?
8
Let g = 13737 - 5393. What is the hundreds digit of g?
3
Let a(k) = k + 9. Let m be a(0). Let z(j) = 24*j**2 - 78*j + 150. Let s(p) = -5*p**2 + 16*p - 31. Let f(w) = 19*s(w) + 4*z(w). What is the tens digit of f(m)?
2
Suppose -4*t + 188 = 2*u - 134, -2*t = 5*u - 797. Suppose u*i = 158*i + 383. What is the units digit of i?
3
Suppose -2*h + 4*u - 134 = 0, h + 38 = 4*u - 39. Let c = -45 - h. Suppose 0 = -4*b + 4*q + c, b + 0*b - 3*q - 7 = 0. What is the units digit of b?
1
Let z(j) = j**2 - 6*j - 1. Let n be z(7). Suppose -13*t - 12*t = 0. Suppose t = -5*b + n*b - 12. What is the tens digit of b?
1
Let b(q) = q**2 + 9*q. Let s = -12 - -3. Let w be b(s). Suppose w = -v + 6*v - 195. What is the tens digit of v?
3
Let w(i) = 17*i**2 + i + 3. Let r be w(6). Suppose 0 = 2*l - 5*l - p + r, 5*l - p = 1043. What is the tens digit of l?
0
Suppose -2*b - 3*b = 25. Let f be (b/((-20)/8))/(-6)*-12. Suppose -f*u + 75 = k, 3*k - 6 = k. What is the units digit of u?
8
Suppose -35 = -4*v + 29. Suppose -2 = 2*b - 5*z - v, -8 = 4*b - z. What is the hundreds digit of -6 - 160/(-24) - 478/b?
1
Let d(n) = -20*n - 72. Let o be d(-6). Suppose -3565 = o*b - 53*b. What is the units digit of b?
3
What is the units digit of (-11397)/(64/512 + 9/(-8))?
7
Let c(a) = -a. Let g(s) = 3*s. Let b(t) = -6*c(t) - g(t). Let p be b(1). Suppose -404 = -4*y + 4*k, p*k - 179 = -4*y + 197. What is the tens digit of y?
9
Let u(j) = 266*j - 1. Let w be u(3). Let y = -434 + w. What is the tens digit of y?
6
Suppose 9*j + 1450 = 7*j. Let g = -487 - j. What is the units digit of g?
8
Let y be -10 + 6 + (2 - -3). Let o(x) = -3*x**2 + x + 1. Let c be o(-4). What is the tens digit of (7/3 - 4)/(y/c)?
8
Suppose 79*q - 107*q + 1347248 = 0. What is the tens digit of q?
1
Suppose -4*w + 17539 = -5*l - 6344, -2*l + 5961 = w. What is the tens digit of w?
6
Let k = -248 - -149. Let u = 70 + k. Let w = u - -53. What is the units digit of w?
4
Suppose -405*s = -407*s + 22606. What is the ten thousands digit of s?
1
Let v(g) = 2*g**3 + 4*g**2 - 2*g - 7. Let s be v(-4). Let w = 10 + s. What is the units digit of 10/(w/(-17) + -8 + 5)?
5
Suppose -4*k + 1 + 6 = -w, 0 = k + 4*w + 11. Let m be (-4 + k)/((-4)/4). Suppose h + 0*l = l + 17, 0 = 5*h - m*l - 79. What is the tens digit of h?
1
Let p(v) = v + 1. Let f(o) = 9*o**2 + 5*o + 16. Let i(x) = f(x) - 2*p(x). Let w be i(-6). Suppose w = 19*l - 15*l. What is the units digit of l?
0
Let g(u) = 25*u**3 + 17*u**2 - 81*u + 9. What is the units digit of g(5)?
4
Let y be (-28)/(-16) - 2 - 17/(-4). Suppose 456 + 197 = h + 4*z, 5*h - y*z - 3289 = 0. What is the units digit of h?
7
Let x(s) = -2*s**3 + 7*s**2 - 5. Let r be x(3). Suppose 0 = r*j - 3*j - 5. Suppose 826 - 266 = j*c. What is the units digit of c?
2
What is the hundreds digit of (-15)/(360/(
|
{
"pile_set_name": "DM Mathematics"
}
|
2*y + (-6 - 1 + 3)*(-2*y + 0*y + y) - 10*y - 13*y - 4*y)*(2 - 2 + 2) as j + z*y and give z.
-48
Rearrange 2*u**2 - 5 + 7*u - 3 - 5*u**2 + 11 + 2*u**4 to the form c + f*u + s*u**2 + i*u**3 + k*u**4 and give k.
2
Rearrange -17*n**2 + 13*n**2 - 10*n**2 + 860*n + 11*n**2 to the form y*n**2 + l + z*n and give y.
-3
Rearrange (0 - 1 - 1)*(14 + 2 - 1 + (-1 + 0 - 1)*(3 + 0 - 4) + 0 + 3 - 1)*(1 + 1 + 1)*(2 - 2*l - 2) to q*l + n and give q.
228
Rearrange -61624*q + 23386*q + 26027*q to w + i*q and give i.
-12211
Express -3 - 386*h**4 + 4*h**4 + 201*h**4 - 4*h + h in the form q*h**3 + y*h**4 + r*h + x*h**2 + w and give y.
-181
Express (-4 + 0 - 1)*(0*n + 4*n - 5*n) + 9 - 5892*n - 5896*n + 11722*n + 0 in the form p*n + c and give c.
9
Rearrange 223*d**2 + 3*d + 2129*d**3 - 1 + 2 - 2127*d**3 to t + j*d**2 + v*d + b*d**3 and give t.
1
Rearrange 3*v**2 - 5*v**2 + 0*v**2 + (3 - 2 + 7*v + 2*v)*(742*v - 363*v - 366*v) to u + f*v**2 + a*v and give a.
13
Rearrange (-56*c**2 + 16*c**2 + 9*c**2)*(41*c - 1 - 10*c + 53*c) to the form j*c**3 + s*c**2 + m*c + o and give o.
0
Express -52 + 12 - 43 - 40*r in the form s + z*r and give s.
-83
Express -14 + 180*n**2 + 3999*n - 7999*n + 4000*n + 1029*n**2 as i*n + h + f*n**2 and give h.
-14
Express -3370*g - 5413637 + 5413637 - 9171*g - 1758*g as t + s*g and give s.
-14299
Express -1433*g**2 - 8871*g**2 - 9617*g**2 + 486*g**2 in the form p*g + z + w*g**2 and give w.
-19435
Express (18*q + 562 - 560 + 6*q)*(54*q - 2*q**3 - 54*q) in the form j*q**2 + u*q**3 + m + o*q + h*q**4 and give u.
-4
Express 48*g - 4 + 2*g**3 - 83*g + 48*g - 9 as x*g + j + o*g**3 + a*g**2 and give j.
-13
Rearrange -706*h + 2299 - 1154 - 1146 to o + i*h and give o.
-1
Express (-m**3 + 12*m**3 + 0*m**3)*(1 - 3 + 1) + (12*m - 13*m**2 - 12*m)*(4*m - 2*m + 2*m) as d*m**2 + p*m + o*m**3 + j and give j.
0
Rearrange (c + 5*c - 2*c)*(-5086 + 2035 - 4451)*(4 - 3 + 1) to f*c + u and give f.
-60016
Rearrange -340*k**2 + 12 + 101*k**2 + 217*k**2 to the form n + l*k**2 + u*k and give n.
12
Rearrange -25*h**2 - 20 + 37*h**2 + 2*h + 88*h**2 to the form q + y*h**2 + r*h and give r.
2
Rearrange (-17*x - 40*x + 4*x)*(3 - 15 - 51)*(3*x**2 - x**2 - 4*x**2) to l + p*x**2 + d*x**3 + z*x and give d.
-6678
Express (-5 + 7 - 6)*(-1 - 1 + 4706312*w - 4705603*w) in the form d*w + p and give d.
-2836
Rearrange 230*u**2 - 62664 + 62662 + 612*u**2 to i*u + g*u**2 + t and give t.
-2
Rearrange 469*z + 1064*z + 6294*z + 3143*z to the form p + y*z and give y.
10970
Rearrange -2*d + 3*d + 2*d - 2000 - 5*d - 2*d to c*d + m and give m.
-2000
Express -1 + 0*t - 2*t + 4 + 0*t + t + t + (t + t + 0*t)*(-1 - 3 - 8) + 78*t + 68*t + 34*t in the form d*t + n and give d.
156
Rearrange 141105*c + 4*c**3 - 140996*c - 7 + 8 to g*c**3 + i*c**2 + d*c + k and give g.
4
Express 145 + 3*b**2 - 425 - b**2 + 143 - 7*b + 152 in the form m + v*b**2 + u*b and give m.
15
Express 419 - 640*k**4 + 2*k**3 - 421 + 101*k**2 - 101*k**2 in the form p*k + o*k**3 + n + z*k**4 + l*k**2 and give n.
-2
Rearrange (-2790*l + 4706*l - 2918*l)*(-4*l - 2*l - 2*l) to the form w*l + g + m*l**2 and give m.
8016
Express 3*r**4 - 5*r**4 + 630 - 628 + 1765*r**3 + 3882*r**3 in the form s*r**3 + i + g*r + d*r**2 + h*r**4 and give h.
-2
Express -1621*m**2 + 810*m**2 + 814*m**2 - 68 + (4 - 1 + 2)*(3*m - 3*m - 2*m**2) as a + d*m**2 + h*m and give a.
-68
Express (-3*t**4 + 6*t**4 - t**4)*(-1 + 1 + 2) - 6540*t**4 + 4275*t**4 + 3119*t**4 as q*t**2 + r*t + l + i*t**4 + s*t**3 and give i.
858
Rearrange (6*c**2 - 7*c**2 + 14*c**2)*(-12*c + 126*c + 135*c) to p*c**2 + y + m*c + h*c**3 and give h.
3237
Rearrange (-u - 2*u + 2*u)*(0*u - 3*u + u) + (-3 - 15 - 16)*(-3*u**2 + u - u)*(10 + 12 - 25) to n + h*u**2 + i*u and give h.
-304
Express (-2 - 2 - 2)*(-4124*p + 2924*p - 3600*p) in the form m + t*p and give t.
28800
Express (3 - 1 - 3)*(2*t + t - 2*t) - 232 + 26579*t - 26580*t - 14 in the form y*t + f and give y.
-2
Rearrange (-4 - 4 - 1)*(-2*c - 2*c**3 + 2*c) - 2*c**3 + 3*c**3 - 2*c**3 - 338*c + 170*c + 167*c - 86*c**3 to the form p*c**2 + o + q*c**3 + a*c and give a.
-1
Rearrange 22855 + 3852*h - 22855 + (3 - 3 + 2*h)*(-1 + 5 - 1) to the form u*h + f and give u.
3858
Express (-675*x + 595 - 595)*(5 - 10 + 35) as t*x + s and give t.
-20250
Rearrange -7*b - 1147 + 58 - 7*b + 24*b - 8*b to p*b + h and give h.
-1089
Express -4768*u**3 + 121*u**2 + 855*u**3 + 122*u**2 + 118*u**2 - 360*u**2 in the form y + t*u**2 + f*u**3 + c*u and give f.
-3913
Express (-1 - 1 + 5)*(0*g + 3*g + 0*g) - 3323*g + 6744*g - 1675*g as r*g + h and give h.
0
Express 4*q**4 + 2*q - 3*q**3 + 8*q**2 - 10*q**2 + 55*q**4 + 1 - 26*q**4 as t*q**4 + g*q + w*q**2 + v*q**3 + r and give w.
-2
Rearrange -30*h**3 - h**2 + 51*h**3 + 16*h**3 - 29*h**3 + 1 - 57*h to a*h**2 + w + j*h**3 + c*h and give j.
8
Rearrange (0 - 2 + 1)*(p + 0 + 0) - 2*p + 2*p + 3*p - 6*p + 4*p + 6*p - 6*p + 0*p + 4*p + 176*p - 781*p + 250*p to the form b + m*p and give m.
-351
Rearrange 233*b**2 - 5 - 701*b**2 + 2*b**3 - 176*b**2 - 627*b**2 to s*b + x*b**3 + a + m*b**2 and give x.
2
Rearrange (495 + 1497 + 9303)*(0*l**2 + 3*l**2 - 2*l**2) to the form j*l + p + t*l**2 and give t.
11295
Rearrange (-3*o + o + o)*(-39*o**2 - 54*o**2 - 21*o**2) + 6*o + 2*o**3 - 4*o - 4*o to the form v*o + b*o**2 + r + f*o**3 and give b.
0
Express (-2 + 2 - h**2)*(2*h - 3*h + 4*h)*(9 - 40 - 19)*(-4 + 0 + 0) in the form g*h + w*h**3 + t + l*h**2 and give w.
-600
Express -24 - j**2 + 2762*j**3 + 4 - 2795*j**3 in the form g + u*j**2 + l*j + p*j**3 and give g.
-20
Rearrange (2 + 2*t - 2)*(-4 - t + 4) + (-4 + 4 + 2)*(-2319*t**2 - 753*t**2 - 4133*t**2) to v + i*t**2 + c*t and give i.
-14412
Express 459*n + 369200 - 369200 + (2 + 1 - 2)*(0*n - 2*n - n) as z*n + x and give z.
456
Rearrange (43*f**2 + 9*f**2 - 14*f**2)*(7*f + 569 - 554 - 18*f) to y*f + z + g*f**3 + r*f**2 and give r.
570
Express -47*v**2 - 36*v**2 - 31*v**2 + 105*v**2 + 584 as g*v**2 + s + y*v and give g.
-9
Rearrange 72 - 4*w**2 + 81 + 5*w**2 - 8255*w - 153 - 3*w**3 to b*w**2 + m + q*w**3 + t*w and give b.
1
Express (-2 - 4 + 4)*(2*z - 3*z + 3*z) + 3535 - 2439 - 2*z - 1891 as j*z + h and give h.
-795
Rearrange 867*z - 58 + 1854*z - 47 + 105 to the form x + d*z and give d.
2721
Express (-1641 + 1201 + 2220 + 890)*(-8*f - 2*f**2 + 8*f) in the form p*f + j*f**2 + u and give j.
-5340
Rearrange 213*n + 11*n**2 + 2*n**3 - 130*n - 83*n + 8 to m + r*n + h*n**3 + p*n**2 and give m.
8
Express (2848*d + 2020*d - 4363*d - 2)*(-1 - 5 + 4) as k*d + o and give k.
-1010
Rearrange -43 - 5 - 7*m**2 + 13*m**3 - 36*m**3 + 9 + 16 to p*m + s*m**2 + i*m**3 + d and give d.
-23
Express d**3 + 15*d**4 - 41*d**2 - d + 8*d**3 - 3*d**3 + 42*d**2 + 0*d**3 as q*d**4 + i*d**3 + b*d + t + g*d**2 and give i.
6
Rearrange (-r + 2 - 2)*(-105*r - 58*r - 2 - 56*r + 4*r + 7) to the form g*r + j*r**2 + a and give g.
-5
Express -a**2 - 2 - 91*a**3 - 2112*a + 1059*a - 1 + 1055*a in the form f*a**2 + i + q*a + b*a**3 and give i.
-3
Rearrange 56 - 31 - 30*o**2 - o**2 - 2*o - 35 to z*o + b + s*o**2 and give z.
-2
Express -5*k**2 + 6*k**2 + 251 - 18 - 5*k**2 as a + q*k + x*k**2 and give a.
233
Rearrange (-4*o + 5*o + 0*o)*(4*o**2 - 3*o**2 - 2*o**2) + (-681*o**2 + 4300*o**2 - 983*o**2)*(-o + 0*o + 3*o) to i*o**3 + s*o + l*o**2 + k and give i.
5271
Rearrange -349 - 2*z**3 + 366 - 445*z + 181*z + z**4 to the form d*z**4 + i + n*z**3 + y*z**2 + a*z and give n.
-2
Rearrange (376*t + 1487*t + 241*t)*(0 + 3 - 1)*(-3 + 4 + 1 - 4) to the form i + o*t and give o.
-8416
Express (-37 + 66 - 224 - 61)*(-9*l + 0*l + 12*l) as a + i*l and give i.
-768
Rearrange 8 + 25 - 2 + 523*x - 506*x to j + v*x and give j.
31
Express -20 - 683760*n**2 + 683760*n**2 - 4*n**4 + 22*n**3 in the form a*n**3 + o*n**2 + p*n**4 + k + g*n and give p.
-4
Express -11686 - 11679 + 23365 - 8284*n as z + f*n and give f.
-8284
Express (-1475 - 184 + 647)*(5 - 5 + 4*o)*(-1 - 2 + 1) in the form c*o + s and give s.
0
Express 722*q**2 + 1075*q**2 + 4558*q**2 - 213*q**2 + 3693*q**2 - q + 2 as g + m*q**2 + d*q and give g.
2
Express ((-571 + 308 + 301)*(4 - 6 + 15) + 3 - 3 + 1)*(-2*z - 5*z**2 + 11*z**2 - 7*z**2) as c*z**2 + t*z + m and give t.
-990
Express 0*b - 35649*b**2 - 311 + 35643*b**2 - 2*b in the form c*b + h*b**2 + f and give f.
-311
Rearrange m + 12*m**2 - 18*m**2
|
{
"pile_set_name": "DM Mathematics"
}
|
o (b) -1/5 (c) 0.4
b
Let v = 31 - 405/13. Suppose -2*t - 2*o = -6*t, 2*o = -2*t - 6. Which is the closest to -2/3? (a) v (b) t (c) 2/9
b
Let w = 75/4 - 18. What is the closest to 1 in w, -0.2, -2?
w
Let o = 3 - 4. Let h = -0.6 + -3.4. Which is the closest to o? (a) h (b) 1 (c) 0
c
Let u = -1.5 + 1.1. Which is the nearest to 2/11? (a) u (b) 2 (c) 4/7
c
Suppose 10 = -5*g - 5. What is the closest to 0 in g, 0.1, -4?
0.1
Let k = 3.5 - 1.5. Which is the closest to -0.2? (a) 3 (b) k (c) 1
c
Let x be (-18)/(-52) - (-1)/(-2). Let h(q) = -q**2 + 1. Let t be h(0). Let z be ((-1)/t)/((-6)/12). Which is the nearest to -1? (a) x (b) z (c) 0
a
Let p = 0.07 - 0.27. Let u = 198 - 1784/9. Which is the closest to 1? (a) p (b) u (c) -0.6
a
Suppose -21 = -3*r + 5*g - 9, -5*g = -r + 4. Which is the closest to 0.1? (a) r (b) 0.5 (c) 2
b
Let p = -12.2 + 12. Let b = p - -1.2. Let j = 0.8 - -0.2. What is the nearest to b in j, 1/2, 2/9?
j
Let i(t) = t**3 + 5*t**2 + 4*t - 1. Let z be i(-3). Let n = z + -7. What is the nearest to -2 in n, -0.1, -0.3?
n
Let x be (1 + (-16)/12)*2. Which is the closest to 1? (a) x (b) -3/4 (c) 2/7
c
Let z = -0.967 + -0.033. Which is the nearest to 2? (a) -0.1 (b) 2 (c) z
b
Let q = 0 + -1. Let w = -11/90 + -1/10. Suppose 0*o + o = 2. Which is the closest to q? (a) w (b) o (c) 0.5
a
Suppose 4*p = 7*p - 3*o + 3, 0 = 5*p + 3*o - 11. Let a = -1 - -3. What is the closest to -2/3 in a, 0.3, p?
0.3
Let u = 23 + -28. Let k = -0.6 + 2.6. What is the closest to k in -3, u, -0.2?
-0.2
Let j = -4.07 - -0.07. Let g be 2/(-3) + 44/57. Let s = -16 + 14. Which is the nearest to s? (a) j (b) 3/2 (c) g
a
Let g = 203/6 - 34. Let n = -97 - -487/5. Let k = 3/29 + -38/87. What is the nearest to k in g, n, -3?
g
Let y = -2 - -3. Let z = 4.8 + -3.77. Let u = z + -0.03. What is the closest to y in -4, u, -4/5?
u
Let u = -25 + 26. Which is the nearest to u? (a) -2 (b) -2/5 (c) -3/5
b
Let d = -222 - -1106/5. Let m = -4.018 + 0.018. What is the nearest to 0 in m, 0.5, d?
0.5
Let o = -1.4 + 1.7. Which is the closest to -3? (a) -2/3 (b) o (c) 0.5
a
Let f = 0.1 - -0.2. Which is the closest to 0? (a) -0.2 (b) f (c) -4
a
Let d(l) be the second derivative of l**5/20 + l**4/2 - 7*l**3/6 + l. Let w be d(-7). Which is the closest to 1/4? (a) -0.3 (b) -4 (c) w
c
Let f be (2/(-4)*0)/2. Suppose -m - v + 8 = -f*m, 0 = -4*v + 20. Let i = 23 + -23.2. What is the nearest to -1 in 3/4, i, m?
i
Let v = -7 - -7.1. What is the nearest to v in 1, 5, 0.02?
0.02
Let r = -1 + 1. Let n = 9.91 - 10. Let u = -0.01 + n. Which is the nearest to u? (a) r (b) 0.5 (c) 5
a
Let u = -7.4 + 7. What is the closest to 0 in -0.2, u, 1?
-0.2
Suppose -4*t + 9*t = 0. Which is the closest to 2/21? (a) 2/7 (b) t (c) 2
b
Let o = 0.08 - 0.33. Let i = o - -0.65. Which is the nearest to 2? (a) 5 (b) i (c) 0.2
b
Let j = -0.2 + 0.7. Let w be (-6)/2*(-4)/(-10). Let y = -0.06 - -0.16. What is the nearest to y in w, 2/9, j?
2/9
Let j be (3/(-2))/((-63)/12). What is the closest to j in 0.5, 0, 0.4?
0.4
Let r = 0.3 + 0.2. Let s = 8.2 - 8. Which is the closest to s? (a) -1/9 (b) 5 (c) r
c
Let h = -3 + 2. Let w be (1 - h) + (-8)/5. Suppose -2*f = -3*f + 2*o + 2, 5*f + 2*o = -14. Which is the closest to f? (a) -5 (b) 3 (c) w
c
Let j be 5/(-3) + (-1 - -3). Which is the nearest to j? (a) 4/9 (b) -2 (c) -2/17
a
Let b = 10 + -17. Let l = -11 - b. What is the closest to 0.1 in l, 2, -1/6?
-1/6
Let x = 76903/225 + -3077/9. Let l = 8/25 + x. Which is the nearest to -0.1? (a) -1 (b) l (c) -0.04
c
Let s = 3 - 8. Let m be 8 - (-8)/((-200)/215). What is the nearest to -1 in s, -5/4, m?
-5/4
Let l = 11.9 + -12. What is the closest to l in 4, -1, -1/3?
-1/3
Let k be 1 - (5 - 3/3). Let r = -1643/6 - -273. Which is the closest to 0.1? (a) k (b) 3 (c) r
c
Let m = -2.6 + 4.6. What is the closest to m in -2/3, 0, 3?
3
Let o = 0.24 + -0.04. Which is the closest to 0.3? (a) o (b) -0.5 (c) 2
a
Let b be 6/5*2/(-6). Let v = -7 + 12. What is the nearest to 2 in b, v, 1/9?
1/9
Let n = -1 + 4. Let f = 2 - n. Let k be (6 - 4) + (-8)/5. What is the closest to k in f, 0, -5?
0
Let u be 2/(-4)*48/(-30). Which is the closest to -2/5? (a) -0.6 (b) 4 (c) u
a
Let f = 1 + 1. Let g = 727 - 729. Let o = -25 - -49/2. What is the nearest to o in -0.2, g, f?
-0.2
Let x = 95 - 93.1. Let g = 8 - 7.1. Let r = g - x. What is the closest to -2 in 0.1, 5, r?
r
Let i(r) = -r**2 - 9*r - 9. Let u be i(-8). Let f be 3*u/(-27)*2. Let m be (1 + 5)/((-12)/8). Which is the nearest to 1? (a) m (b) 2/13 (c) f
c
Suppose 16 = -z + 2*d + 2*d, 2*d + 6 = -3*z. Let n be 117/126 - (-2)/z. Which is the closest to -1? (a) 0.5 (b) -4 (c) n
c
Let w = 1.2 - -1.8. Suppose 3*z = -2*z + 10. What is the nearest to -0.1 in z, -4, w?
z
Let d = 2 - 4. Let g be ((-3)/(-12))/(1/d). Let t = 0.02 - 0.22. Which is the nearest to 1? (a) t (b) -1/4 (c) g
a
Let o = -0.2 + 0.3. What is the closest to o in 0.5, 2, -5?
0.5
Let c be 1/(2 + 3/(-3)). Let f = -0.03 - 0.47. Let o be 3*(0 + 3/(-12)). What is the nearest to c in o, 2, f?
2
Let g be (1 - (2 + -1))*1. Let n(q) = q**2 + 2*q - 4. Let s be n(-4). Suppose g = -3*y - s - 8. Which is the closest to 1? (a) 1 (b) 1/3 (c) y
a
Let h be (4 + 45/(-10))/1. Which is the closest to h? (a) 5/2 (b) 2 (c) 1/3
c
Let n = 81.9 + -63. Let o = 16 - n. Let k = o - -3. Which is the closest to -1? (a) -2 (b) k (c) 2/15
a
Let j = 0.2 + -0.1. Suppose n + 4*n = 55. Let o(i) = i**3 - 10*i**2 - 10*i - 8. Let s be o(n). Which is the closest to j? (a) -5 (b) s (c) -2/9
c
Let a = 119 + -119. What is the closest to -2/3 in a, -0.2, 0.3?
-0.2
Let i = 13.9 + 0.1. Let q = 11 - i. What is the closest to -0.2 in -2, q, -0.4?
-0.4
Let t = 0.111 + -0.611. What is the closest to 2/5 in -5, 1/65, t?
1/65
Let q = -3.2 - 0.8. Let s = q - -3.6. Which is the closest to 1? (a) s (b) -3 (c) 3
a
Let t = -136 + 133. What is the closest to -1 in 8, -1, t?
-1
Let q = -182.7 + 183. What is the nearest to -2/7 in -0.5, q, -2?
-0.5
Let d = 6 + -8. Which is the closest to 9? (a) -1/2 (b) 0.3 (c) d
b
Let h be 17/(-6) - (0 - -1). Let w = h - -95/24. Let n = 2 - 2. Which is the closest to 1/2? (a) w (b) 0.2 (c) n
b
Let i = 2 + -1.9. Let x = 0.396 + -5.396. What is the closest to i in 0.1, -0.2, x?
0.1
Let m = -3.7 + 4. Let t = -11 - -11.7. Let l = m + t. Which is the closest to l? (a) -1/4 (b) 1 (c) -2
b
Suppose -y = -m + 3*y - 14, -m - 5*y + 31 = 0. Let d = m + -1. What is the nearest to 2/5 in -0.2, -1, d?
-0.2
Suppose -4*n + 10 + 8 = -2*d, 3*n = -d + 21. Let y be ((-3)/7)/(n/4). Which is the closest to 0? (a) y (b) -5 (c) 0.1
c
Let n be ((-2)/12)/(7/(-406)). Let l = 9 - n. What is the nearest to l in 0.5, 2/7, 2?
2/7
Let i = -19 - -13. Let j = i - -4. Let w be 2 + -2 - 1/4. Which is the closest to w? (a) j (b) 1/10 (c) 0.3
b
Let d = -14 - -8. Let c = 28.5 + -29. What is the closest to -2 in c, d, -4?
c
Let j = 4 + -4. Let g = -0.54 - 2.46. Let q = 7 + -11. What is the nearest to j in q, g, -0.4?
-0.4
Let r be (-4)/(-6) - (-32)/(-66). Let y = -3 + 2. Let x = -2.13 + 0.13. Which is the closest to 1? (a) x (b) r (c) y
b
Let i = 0.3 + -0.2. Let c = 0.45 + -0.05. Let q = i + c. What is the nearest to -0.1 in 4/9, q, 5?
4/9
Let v = -20.5 + 21. Let n = -2 + 2.2. Which is the nearest to n? (a) 0.4 (b) -3/7 (c) v
a
Let o = 4 - 3.5. Let c = -192 + 1726/9. What is the closest to c in 4, o, -1/9?
-1/9
Let x be 217/21 - 2/6. Let c be 1/2 - (-15)/x. Let g = -2 + c. What is the closest to g in -2, -2/23, -1?
-2/23
Let y = 0 + -0.2. Let v = -20 - -20. Which is the nearest to v? (a) -1/10 (b) y (c) -0.4
a
Let b = 0 - -1. Let a be (-20)/(-16)*(-8)/20. What is the nearest to b in a, -0.4, -0.2?
-0.2
Let o be (-20)/(-40) + (-7)/6. What is the nearest to o in -0.01, -5, -1?
-1
Let p = -0.6 - -0.2. Let t = p + 0.3. Which is the closest to t? (a) -1 (b) 0 (c) 2/7
b
Let t = -2/21 - 17/42. Let d = 32 + -30. Which is the nearest to 2? (a) t (b) 5 (c) d
c
Let z be ((3 - -1) + -3)/7. What is the closest to -1 in z, -4, 1/2?
z
Let t = -8 + 7.5. Let h = -3 + 6. What is the closest to 2/9 in 3/4, t, h?
3/4
Let b be 0/(-1) - (-7 - -9). Let g be ((-6)/3)/(5/b). What is the nearest to 0.3 in g, 2, -5?
g
Let
|
{
"pile_set_name": "DM Mathematics"
}
|
e factors of i(-1).
2, 5, 31
Suppose 18225 = 9*d + 36*d. What are the prime factors of d?
3, 5
Let x(m) = m**3 + 13*m**2 - 7*m + 82. List the prime factors of x(10).
2, 17
Suppose 22*m - 23*m - 15 = 0. Let h be (-55)/m + 2/(-3). Suppose -n + 6 = h. List the prime factors of n.
3
Let p(r) = -r**3 - 36*r**2 + 31*r - 50. List the prime factors of p(-37).
2, 43
Let f(l) = -l**3 + 23*l**2 + 33*l + 135. List the prime factors of f(17).
2, 3, 5
Let r be -3*2*(-4)/24. Suppose 4*f - 227 - r = 0. List the prime factors of f.
3, 19
Let i be 15*(-3 - (-51)/15). Suppose 8*r + i = 86. List the prime factors of r.
2, 5
Suppose -j + 3*z + 8 = -12, 5*j - z - 100 = 0. Suppose 0 = -5*s - j, -v - 5*s = -s + 11. Suppose -11 = -2*b + v. List the prime factors of b.
2
Let x(t) = 678*t**2 + 20*t - 23. What are the prime factors of x(2)?
2729
Suppose 0 = -3*q - 16 + 571. Suppose -16 = -4*y, 4 = -3*m + 5*y - 4. Suppose m*t - q = -t. What are the prime factors of t?
37
Suppose 15*q - 14 = 8*q. Suppose 0 = f - 0 + 6. List the prime factors of 26/3 - q/f.
3
Suppose -w - 3*r = -27, 0 = -2*w + 5*w - 5*r - 11. Let z be (-3)/2 - (-2538)/w. Suppose 7*y = y + z. List the prime factors of y.
5, 7
Let d be 4/3*(-1362)/4. Let r = d - -649. List the prime factors of r.
3, 5, 13
Suppose -5*y + 0*r + 3*r - 310 = 0, 2*y + 98 = -4*r. Suppose 4*i = -4 - 92. Let z = i - y. List the prime factors of z.
5, 7
Let b = -292 + 436. What are the prime factors of b?
2, 3
Let s(k) = -k**3 + 11*k**2 - 9*k + 13. Let f be s(10). Suppose i = f - 11. What are the prime factors of i?
2, 3
Let y = -8 + 14. Suppose y = 2*s - 0. Suppose -5*t + 92 = 4*a - t, -s*a - 2*t + 73 = 0. What are the prime factors of a?
3
Let b = 73 - 25. Let p = b - 31. What are the prime factors of p?
17
Let n be 1/1*4 + 122. Suppose -6*m + n = -3*m. List the prime factors of m.
2, 3, 7
Suppose 4*s + 3*g - 32 = 0, 2 - 3 = -s + g. Let i = s + 14. What are the prime factors of i?
19
Suppose -2*j + 23 = -7. Let m be (-32)/(-10) + (-3)/j. List the prime factors of 2/m - (-406)/21.
2, 5
Let d(h) = h**2 - 14*h + 1. Let o be d(15). Let f be (-1 + -1)*(-40)/o. Suppose -4 = -2*m + 4, f*m + 70 = 5*l. What are the prime factors of l?
2, 3
List the prime factors of (-1 - 2631)*(-69)/138.
2, 7, 47
Let p be 38*(5/2 - 2). Let q(r) = r**3 - 5*r**2 - 7*r + 8. Let l be q(6). Suppose -t - p = -l*t. List the prime factors of t.
19
Let b(m) = 39*m**2 + 2*m + 6. What are the prime factors of b(3)?
3, 11
Suppose -17 = -4*u + 43. Suppose -3*t = -3*b - 5*t + 243, -243 = -3*b + 4*t. Let g = b - u. List the prime factors of g.
2, 3, 11
Let j be 6/(-2)*2324/(-42). Suppose 48 - j = -a. What are the prime factors of a?
2, 59
Let t(u) = -u**3 - 6*u**2 + 4*u - 8. Let k(v) = -v**2 + 5. Let a be k(3). Let s be 7*(1 + a + 2). What are the prime factors of t(s)?
13
Suppose 5*b = 3*o - 13, -3*o = 2*o + 20. List the prime factors of (-632)/b + (-2)/5.
2, 3, 7
Suppose -142*y + 134*y + 25512 = 0. List the prime factors of y.
3, 1063
Let t(c) = c - 9. Let h be t(12). Suppose -h*z - 14 = -3*m - 2*z, -z = 2*m - 11. Suppose m*i - q = -3*q + 102, 3*i - 58 = 2*q. What are the prime factors of i?
2, 5
Let m = -154 + -29. Let s = 127 - 254. Let g = s - m. List the prime factors of g.
2, 7
Let u(g) be the first derivative of -3*g**2/2 + 8*g - 6. List the prime factors of u(-10).
2, 19
Suppose -2*u = -3*n + 19, 0 = -u + 2*u + 2. Let d(w) = 3*w - 10. What are the prime factors of d(n)?
5
Let r(b) be the third derivative of b**6/120 - b**5/15 + b**4/3 + 5*b**3/6 - 12*b**2. What are the prime factors of r(7)?
2, 13
Let j = 16 + -12. Let b = 6 - j. List the prime factors of (-81)/b*8/(-12).
3
Suppose -2*q - a = -0*a - 2217, 0 = -6*q + 3*a + 6669. What are the prime factors of q?
2, 3, 5, 37
Let n be ((-1)/2)/((-13)/(-156)). What are the prime factors of n/(-30) - 468/(-10)?
47
Let z(k) be the second derivative of k**7/315 + 3*k**4/4 + 2*k. Let y(b) be the third derivative of z(b). What are the prime factors of y(-1)?
2
Let l(t) = -4*t + 4. Let k(y) = -1. Let b(j) = -3*k(j) + l(j). Let u = -162 + 159. What are the prime factors of b(u)?
19
Suppose 0 = 10*f + 630 - 1880. What are the prime factors of (f + -4 - -5)/(3/4)?
2, 3, 7
List the prime factors of (-5 + -4 - -1937) + 1.
3, 643
Let v(r) = r**3 - 12*r**2 + 11*r - 17. Let q be v(11). Let u(c) = -c - 6. What are the prime factors of u(q)?
11
Let n(u) = 2*u**3 + 6*u**2 + 3*u - 8. Let v(a) = -3*a**3 - 7*a**2 - 4*a + 9. Let m(c) = -4*n(c) - 3*v(c). What are the prime factors of m(4)?
3, 7
Let o(k) = k**3 + 28*k**2 + 26*k + 18. List the prime factors of o(-22).
2, 5, 47
Suppose -v + 3 = -t, -11 = t - v + 4*v. List the prime factors of 5 + ((-48)/30)/(2/t).
3
List the prime factors of (-12467)/39*(-7 + 2 + -1).
2, 7, 137
List the prime factors of ((-15)/(-3) - 2) + 403.
2, 7, 29
Suppose -3*y + 350 - 913 = 5*k, 5*y = -k - 95. Let l = k + 163. Suppose 2*u - l = -4*u. What are the prime factors of u?
2
Suppose 2*x = -5*u + 4 + 6, -2*x = 4*u - 8. What are the prime factors of 4 - (u + -11 + -1)?
2, 7
Let f(i) = 55*i**2 + 27*i + 289. List the prime factors of f(-7).
5, 13, 43
Let a be (-236)/(-2)*(-3 + 28/8). Suppose 3*s + a - 266 = 0. What are the prime factors of s?
3, 23
Suppose -5*r - 3*t = -0*r - 14458, -5*t + 2874 = r. List the prime factors of r.
2, 1447
Let h be (-48)/(-20) + (-2)/5. Suppose 405 = 3*l + h*l. Suppose -l - 39 = -3*p. List the prime factors of p.
2, 5
Let h be 0 + 249*-1 + 4. Let u be (12/10)/((-14)/h). List the prime factors of -1*(u*-1 - 4).
5
Suppose 2*a - 4*u = 1002, 9*u - 6*u - 501 = -a. What are the prime factors of a?
3, 167
Suppose -47*w + 269463 - 69478 = 0. List the prime factors of w.
5, 23, 37
Let q(w) = w**2 + 8*w + 11. Let f be q(-7). Suppose d + 27 = 3*a - d, f*a - 53 = -3*d. Let b(y) = y + 3. List the prime factors of b(a).
2, 7
Let i(v) = v - 2. Let n be (-6)/4*28/(-6). What are the prime factors of i(n)?
5
Suppose -5*o - 2*i + 34 = 26, i + 3 = o. What are the prime factors of o?
2
Let g = 1091 + -645. What are the prime factors of g?
2, 223
Let s = 570 - -2884. What are the prime factors of s?
2, 11, 157
Let a be (-6)/(-1) + (-8)/4. Suppose j + 4 = -4*c, c - 4*j + 16 = -8*j. Suppose 3*w + a = -2*v, -2*w + c*w + 5*v = -29. What are the prime factors of w?
2
Let l be 1/3 - ((-8320)/15 + 2). Let w = -370 + l. List the prime factors of w.
3, 61
Let t(z) = z**2 + 6*z + 8. Let a be t(-6). Suppose 0 = 5*b - 5*p - 4 - 1, -a = -2*p. List the prime factors of (17 + -7)/(1/b).
2, 5
Let h = 5 + -1. Suppose 0*c - 2*c = -h. Suppose -c + 40 = 2*s. What are the prime factors of s?
19
Let l(k) = 37*k**3 + 6*k**2 - 8*k - 2. Let f be l(2). Suppose -5*i + 228 + f = 0. List the prime factors of i.
2, 53
Let w = -2 + -6. Let m be (-2)/w - 33/(-44). Let s(g) = 19*g**2 - 2*g + 1. What are the prime factors of s(m)?
2, 3
Suppose -2*k = 4 - 2. What are the prime factors of 1*(-25 - -2)/k?
23
Let y(g) = -44*g - 140. What are the prime factors of y(-5)?
2, 5
Let w(i) = -i**3 + 10*i**2 - 13*i - 17. Let d be w(7). List the prime factors of d/26*(-148)/(-3).
2, 37
What are the prime factors of (-225)/(-18)*(-28)/(-2)?
5, 7
Let w = 9 + -5. Suppose w*r + 5*f - 4*f + 3200 = 0, f - 2400 = 3*r. What are the prime factors of (-2)/13 + r/(-130)?
2, 3
Let g(k) = k**2 - 7*k + 12. Let i be g(5). Let p(v) = -6*v - i - 13 - v**2 - 10*v. List the prime factors of p(-14).
13
Let r(s) = -4*s**2 - 13. Let n(c) = -9*c**2 - 26. Let y(i) = 3*n(i) - 7*r(i). List the prime factors of y(-13).
2, 7, 13
Let a(r) = 302*r**2 - 8*r + 1. What are the prime factors of a(1)?
5, 59
Suppose r + 634 - 1935 = -2*w, 0 = 2*w + 2*r - 1306. List the prime factors of w.
2, 3
Let x = -1892 + 2710. What are the prime factors of x?
2, 409
Let d = 1998 - -103. List the prime factors of d.
11, 191
List the prime factors of ((-351)/(-36))/((-6)/(-632)).
13, 79
Suppose -4 = -9*y + 8*y. Suppose -y*n + 370 = 2*b, 0 = n - 0*b - 2*b - 80. What are the prime factors of n?
2, 3, 5
Let r = -903 - -1597. Suppose -4*j + 190 = -r. What are the prime factors of j?
13, 17
Suppose -2*y + 71 = -227. Let p = -75 + y. List the prime factors of p.
2, 37
Suppose 5*c = -2*g - 3*g - 515, -5*c + 394 = -4*g. Let v = g + 181. List the prime factors of (v/6)/(6/18).
2, 5
Let x = 15 - 17. What are
|
{
"pile_set_name": "DM Mathematics"
}
|
ate the highest common factor of 9 and t.
9
Let b(c) = 3*c**2 + 3*c + 9. Let f be b(-4). What is the greatest common divisor of f and 135?
45
Suppose -3*l = -2*l, 572 = 2*v - 2*l. Calculate the greatest common factor of 78 and v.
26
Let n be ((-3)/5)/(8/(-720)). Suppose 4*r - 48 - 24 = 0. Calculate the highest common factor of r and n.
18
Let h(k) be the third derivative of k**5/15 + 5*k**4/8 + 2*k**3 + 21*k**2. Let n be h(-6). Calculate the highest common divisor of 22 and n.
22
Let q = -95 - -133. Calculate the highest common divisor of q and 209.
19
Let q(a) = -a**3 - 5*a**2 - 5*a. Let o = -4 - 0. Let h be q(o). Suppose 0 = -h*s + i + 46, 0 = -4*i - 1 + 9. Calculate the highest common factor of s and 96.
12
Let m = -29 - -20. Suppose 2*z - 7*z = c + 60, z = c - 6. Let l = m - z. Calculate the highest common factor of l and 2.
2
Let f = -5 - -3. Let d be 0 + (2 - -2) + f. Suppose -2*g = 4*m - 188, -d*m + 5*g + 93 = 23. What is the highest common factor of 5 and m?
5
Let m = 490 + -194. Calculate the highest common divisor of 8 and m.
8
Let p be -80*3/(-6) + -1 + 0. What is the greatest common factor of 624 and p?
39
Let j(a) be the first derivative of 1/3*a**3 + 3/2*a**2 + 2 - 5*a. Let t be j(4). Calculate the greatest common divisor of 161 and t.
23
Let j(d) = 4*d**2 + 3*d - 42. Let q be j(6). Calculate the highest common factor of 80 and q.
40
Suppose -d = -2*q - 2, -5*d - 1 = -4*q + 1. Let m be (-1)/q - 730/(-20). Calculate the greatest common divisor of 333 and m.
37
Let y(n) = 42*n + 14. Let d be y(4). Calculate the highest common factor of d and 28.
14
Suppose -f - 16 = -3*f + 4*u, -4*u = -5*f + 34. Calculate the greatest common factor of 282 and f.
6
Suppose -5*x + 15*x - 770 = 0. Let f = x + -76. Calculate the greatest common factor of 4 and f.
1
Suppose 44 + 46 = -3*z. Let g = -24 - z. Let r be 1 + (-1 - (-24)/2). Calculate the greatest common factor of g and r.
6
Let k(h) = -h**2 - 7*h + 30. Let t be k(-11). Let n = t - -37. Calculate the greatest common divisor of n and 92.
23
Let r = 90 + 6. What is the greatest common divisor of r and 6?
6
Let s(u) = 4*u**2 + 6*u + 1. Let x be s(2). Suppose -51 = x*a - 32*a. Calculate the highest common divisor of a and 221.
17
Let q(y) = y**3 + 16*y**2 - 27*y - 32. Let f be q(-17). Let d = f - 72. Calculate the greatest common factor of d and 33.
33
Suppose 0 = -21*r + 17*r + 64. What is the highest common divisor of 184 and r?
8
Suppose 2*m = 5*t + 19, -m - 3 + 2 = t. Let d = 8 + m. Calculate the highest common divisor of 25 and d.
5
Suppose -4*t + 113 + 123 = 0. What is the highest common factor of 236 and t?
59
Suppose 5*n = 27 - 7. Suppose n*v + 0*v - 24 = 0. Let m = v - -2. What is the greatest common divisor of 20 and m?
4
Let x be (-48)/(-9) - 8/(-12). Suppose 11*b = 9*b + x. Let m be -1 + (26/2 - 0). What is the greatest common factor of m and b?
3
Suppose -14 + 6 = -4*s. Suppose s = 2*q - 2. Let g be 46*-4*(q + -3). What is the greatest common divisor of g and 23?
23
Let w(j) = 4*j**2 - 3*j - 4. Let x be w(3). Let y = 21 - x. Let h be 21*1*(-1 - y). What is the highest common factor of 21 and h?
21
Let m = 0 - 2. Let i be (-7554)/(-21) - m/7. Suppose j - i = -3*j. Calculate the greatest common divisor of j and 18.
18
Suppose -n = 2*n - 72. Suppose -3*l = -5*z + 183 + 111, -4*z = -4*l - 232. What is the highest common divisor of n and z?
12
Let v be 6/(-14) + (-454)/(-14). Calculate the highest common factor of v and 2.
2
Let g(a) = -a**3 + 4*a**2 + 14*a - 7. Let u be g(6). Suppose 0 = -5*s, 5*c + u*s - 80 = s. What is the greatest common factor of c and 24?
8
Suppose -j + 6 = 2*l, -4*l = -j - 0*l. Suppose j = 3*q - 2. Calculate the greatest common factor of q and 18.
2
Let z = -23 - -14. Let q be 2/z + 6/27. Let l be 16 + -4 + q + 4. Calculate the highest common factor of l and 16.
16
Let x(n) = 20*n + 352. Let p be x(-14). What is the highest common divisor of p and 36?
36
Suppose -2*l - 3*i + 116 = 0, 2*i + 2*i + 58 = l. Let o = 106 - l. What is the highest common factor of 6 and o?
6
Let n(v) = -13*v - 5. Let j be n(-2). What is the greatest common factor of j and 315?
21
Let i(j) = j**2 + 2*j. Let n be i(-2). Suppose n*m - 3*x - 448 = -4*m, 0 = m + x - 105. Suppose 35 = 4*o - m. What is the greatest common divisor of o and 9?
9
Let t(z) = 15*z**3 - 8*z**2 + 3*z + 12. Let s be t(3). What is the greatest common factor of s and 6?
6
Let r(k) = k**2 - 4*k - 136. Let s be r(18). What is the highest common divisor of 1856 and s?
116
Let q(x) = 3*x + 25. Let p be q(-10). Let y(o) = o**3 + 4*o**2 - 6*o - 4. Let u be y(p). Calculate the highest common divisor of u and 9.
1
Suppose 6*f - 295 + 91 = 0. Calculate the greatest common factor of 1887 and f.
17
Let n = -252 + 268. Calculate the greatest common divisor of 128 and n.
16
Suppose 0*c + c = 30. Suppose 13 - 77 = 4*j. Let v = j - -28. Calculate the highest common divisor of c and v.
6
Suppose g - 431 = -w, -2*w + 1720 = -0*g + 4*g. Calculate the greatest common divisor of g and 78.
39
Suppose y - 37 + 27 = 0. Suppose y = -5*r, -2*r - 1338 = -4*l + r. Calculate the greatest common divisor of l and 37.
37
Let p = 1024 + -940. What is the highest common factor of 8 and p?
4
Let d(b) = b**2 + 5*b + 99. Let x be d(0). Calculate the highest common factor of x and 66.
33
Suppose -5*r + 4*g + 498 = 0, r - g + 390 = 5*r. Let q = r + 67. What is the highest common divisor of q and 15?
15
Suppose -2*p + 2 + 2 = 4*o, -o = 4*p + 6. Let x = 2 - p. Calculate the highest common factor of x and 6.
2
Suppose -5*m - 8 = -9*m. Suppose d - 72 = -m*d. Suppose 114 = 3*i + d. Calculate the highest common factor of i and 12.
6
Let d = -14 - -18. Calculate the highest common divisor of d and 74.
2
Let l(a) = -a**2 - 9*a + 3. Let q be l(-8). Let t be 3/7 + q/7. Suppose -12 = j - 2*p - 5, p = -t*j + 11. What is the highest common divisor of j and 2?
1
Let g(z) = z + 7. Let y(s) = -s - 3. Let j(h) = 4*g(h) + 10*y(h). Let n be j(-2). Suppose f - 33 = -n. What is the greatest common divisor of 253 and f?
23
Let f = 122 + 41. Let k = f - 64. What is the greatest common divisor of 11 and k?
11
Let r = 186 + -128. Let b = r + -44. What is the highest common factor of b and 98?
14
Suppose -3*b - 5*u = -83, -2*b - 2*u + 82 = -4*u. Calculate the greatest common divisor of b and 36.
36
Suppose -3*m + 31 = -53. Let b(q) = -q**3 + 12*q**2 - 5*q + 74. Let z be b(12). What is the highest common divisor of z and m?
14
Let v = -7 - -15. Suppose -19*t + 88 = -18*t. Calculate the highest common factor of t and v.
8
Let x(v) = v**3 + 11*v**2 - 48*v - 24. Let n be x(-14). Suppose 0 = -0*a - 2*a + 12. What is the greatest common divisor of n and a?
6
Suppose -2*q - 8550 = -20*q. What is the greatest common divisor of q and 5?
5
Suppose 15*j = 42*j - 3618. What is the greatest common factor of 603 and j?
67
Let m = -66 + 75. Suppose 168 = -p + m*p. Calculate the greatest common factor of p and 84.
21
Let j = -670 - -1598. What is the highest common factor of j and 64?
32
Suppose 2*b + 8 = 6*b. Suppose b*g = -g + 42. Suppose 190 = 5*s + 4*d, -14 = -4*s - 3*d + 139. Calculate the highest common factor of s and g.
14
Suppose 3*h + 10 = 8*h. Suppose -b - 5*f - 139 = 0, 2*f + h = 4. Let c = 214 + b. What is the highest common divisor of 10 and c?
10
Suppose 5*i - i - 4*c - 712 = 0, 2*c - 340 = -2*i. Calculate the greatest common divisor of i and 1334.
58
Suppose 6*l + 422 = 3092. Calculate the highest common factor of l and 10.
5
Let n(f) = -2*f**3 - 121*f**2 - 63*f - 81. Let d be n(-60). What is the highest common factor of 66 and d?
33
Let v(a) = -3*a + 8. Let q(u) = u. Let g(r) = -6*q(r) - v(r). Let d(f) = 2*f. Let o be d(-4). Let h be g(o). Calculate the greatest common divisor of h and 64.
16
Let k be 3 - (28 + 1)*6/(-6). Let j = -58 + 74. What is the highest common factor of k and j?
16
Let t(v) = v**2 - 2*v + 3. Let c be t(2). Let j(a) = 4*a**2 + 68*a + 195. Let h be j(-3). Calculate the highest common factor of c and h.
3
Suppose -m = 4*t - 3, -2*t + 2*m + 3 = m. Let c be 37 + 5 - (-3)/t. Let x be (-15)/(1 + -5 + 3). Calculate the highest common factor of c and x.
15
Let m(a) = 6*a**2 + 45*a - 51. Let d(b) = b**2 + 9*b - 10. Let n(t) = -11*d(t) + 2*m(t). Let f be n(9). Calculat
|
{
"pile_set_name": "DM Mathematics"
}
|
*j/(j*j**(12/5)) assuming j is positive.
j**(-72/5)
Simplify (q/(q**16*q))/((q/q**(2/33))/q) assuming q is positive.
q**(-526/33)
Simplify (p/(((((p*p**1)/p)/p)/p)/p))**(-2/3)*((p*p/(p/(p/((p**0*p)/p)*p))*p)/p)/p**(3/8) assuming p is positive.
p**(5/8)
Simplify (q*(q/q**2*q)/q)/((q**6/q)/q)*(q**(-4)*q)/q**(-6) assuming q is positive.
1/q
Simplify (s**(4/5))**5 assuming s is positive.
s**4
Simplify r*r**(-32)*r*r**(11/4) assuming r is positive.
r**(-109/4)
Simplify q**11/q**9 assuming q is positive.
q**2
Simplify (r*(r*r**(-1/3)*r)/r)**10*r**(-2/9)/r*r**9 assuming r is positive.
r**(220/9)
Simplify (m**(-24)/m)/((m/(m/(m*m**(-23))*m))/m*m) assuming m is positive.
m**(-2)
Simplify (k**(2/23)*k**(-3))/((k/k**(2/19))/(k**(-5)*k)) assuming k is positive.
k**(-3412/437)
Simplify (z*z/z**(-31)*z*z*z)/z*z**42 assuming z is positive.
z**77
Simplify (y**(1/6)/y**(2/9))**(-34) assuming y is positive.
y**(17/9)
Simplify ((l/(l*l**(-4/5)))/l**(-1/2))**(1/56) assuming l is positive.
l**(13/560)
Simplify ((t/t**(7/6))/t)**(-9/2) assuming t is positive.
t**(21/4)
Simplify (i/i**(1/2))**20 assuming i is positive.
i**10
Simplify r**(-3/8)*r/(r/(r/(r/(r*r/(r/(r/(r/r**(-3)))))*r*r)))*(r/(r*r**1*r))/r**(2/5) assuming r is positive.
r**(-271/40)
Simplify z**(-4/5)/(((z*z/z**(-26)*z)/z)/z) assuming z is positive.
z**(-139/5)
Simplify ((d*d**(-1/25)/d*d)/d*d)**14 assuming d is positive.
d**(336/25)
Simplify (h*h**(-4/7)*((h/h**(-6/7)*h)/h)/h)/(h**0)**(1/20) assuming h is positive.
h**(9/7)
Simplify v*(v**(-19)/v)/v*v*v*v**(2/29)*v assuming v is positive.
v**(-491/29)
Simplify ((u*u/((u/u**(6/23))/u)*u)/u)/(u*u*u/u**24) assuming u is positive.
u**(535/23)
Simplify (m**(-6)/(m/(m*m*m/(m*m**(-5/4)/m))))/((m/(m*m**7))/(m*(m**(-4)*m)/m)) assuming m is positive.
m**(5/4)
Simplify (d/(d*d*d**(1/4)))**32/(d/(d/d**0))**(-8) assuming d is positive.
d**(-40)
Simplify ((j*j*j*j**0)/j)**(-5/11)/(j**(-2))**(1/21) assuming j is positive.
j**(-188/231)
Simplify i**(5/2)*i**(-1/14) assuming i is positive.
i**(17/7)
Simplify r**(-2/5)*r**(1/6)*r**(-2)*r*r*r*r*r/(r/((r/(r/(r/(r/r**(-1/4)))))/r)) assuming r is positive.
r**(31/60)
Simplify (a**3*a)**(-2/31) assuming a is positive.
a**(-8/31)
Simplify f**(-5)/(f/(f**5/f*f)) assuming f is positive.
1/f
Simplify (f/f**1)**36 assuming f is positive.
1
Simplify (y**7*y**0)/((y/(y/(y*y**(2/9))*y))/(y**(-5)*y)) assuming y is positive.
y**(25/9)
Simplify (q**(-9)*q**(-4/3))/((q/q**(-5))/q**(2/15)) assuming q is positive.
q**(-81/5)
Simplify ((m*m*m**(-2/11)*m)**(-2/27))**18 assuming m is positive.
m**(-124/33)
Simplify ((a/((a*a*a*a**2)/a*a))/a)**7/((a/(a*a**(-2/11))*a)/(a/a**(2/15))) assuming a is positive.
a**(-5827/165)
Simplify (k**(-1))**12*k*k**8/k*k*k*k**(-6) assuming k is positive.
k**(-8)
Simplify (f/f**(4/5)*f)**(2/107) assuming f is positive.
f**(12/535)
Simplify (k**(-1/5)/k)/k**28 assuming k is positive.
k**(-146/5)
Simplify ((v**(-3))**31)**(7/9) assuming v is positive.
v**(-217/3)
Simplify d/(d/d**(-1/5))*d*d*d*d**7/d*(d**2/d)/(d/(d/(d*d**(-4/5)*d*d))) assuming d is positive.
d**(38/5)
Simplify (b**(1/4))**(-1/32)/(b/b**1)**(2/139) assuming b is positive.
b**(-1/128)
Simplify v/((v*v**(1/5))/v*v*v)*v**(1/6)*(v**(1/3))**(-46/5) assuming v is positive.
v**(-41/10)
Simplify ((r**(-2/43)*r*r)/r)**(4/17) assuming r is positive.
r**(164/731)
Simplify p/p**(11/5)*p**(-2/93)*p assuming p is positive.
p**(-103/465)
Simplify ((i/(i/((((i/i**1*i*i*i)/i)/i)/i))*i)/i)**(-1/14)*(i**(-1/4)*i)**(-5) assuming i is positive.
i**(-15/4)
Simplify i/((i**(-5)*i*i)/i)*i/(i/(i**(2/17)*i)) assuming i is positive.
i**(104/17)
Simplify (j**(13/4)/j)/(((j/j**(2/5))/j*j)/j) assuming j is positive.
j**(53/20)
Simplify v/(v*v**(-13/2))*v/v**11 assuming v is positive.
v**(-7/2)
Simplify m*m/(m*m**(-3/20))*m*(m**0/m)/m assuming m is positive.
m**(3/20)
Simplify i**11*i**15/i assuming i is positive.
i**25
Simplify ((h**(2/7))**21)**(-6/7) assuming h is positive.
h**(-36/7)
Simplify (z**6*z**(-1))/(((z*z**3)/z*z)/z**(-1/5)) assuming z is positive.
z**(4/5)
Simplify x**7*x/(x*x/(x/x**(3/10))*x)*x**(-1)*x**6 assuming x is positive.
x**(107/10)
Simplify (s**22)**(7/13) assuming s is positive.
s**(154/13)
Simplify (p**5*p)/(p/((p*p*p/p**19)/p)) assuming p is positive.
p**(-12)
Simplify (d**(6/11)/d**(1/2))**(-20) assuming d is positive.
d**(-10/11)
Simplify (y/y**(-4))/y**(-21) assuming y is positive.
y**26
Simplify (w*w**22)/(w*w/(w/w**(16/5))) assuming w is positive.
w**(94/5)
Simplify (v*v**(-4)*v*v*v/(v*v*v**5))/(v**2)**14 assuming v is positive.
v**(-35)
Simplify (p/(p*p/(p/(p/p**(1/3))*p)))**(1/17)/(p**(-2/7)*p*p*p/(p*(p*p/(p/(p*p**(-5))))/p)*p*p*p*p) assuming p is positive.
p**(-3461/357)
Simplify p**(1/5)*p/(p/((p**(-2)/p*p)/p))*(p/p**0)**40 assuming p is positive.
p**(186/5)
Simplify (l**(-8/5))**(1/14) assuming l is positive.
l**(-4/35)
Simplify ((f/((f**(-2/15)/f)/f))/f*f)/f*f**(-7)*(f/f**(-10))/(f/f**9) assuming f is positive.
f**(212/15)
Simplify (r*r**(6/17))**(1/3) assuming r is positive.
r**(23/51)
Simplify (q**(-34))**40 assuming q is positive.
q**(-1360)
Simplify (((r/r**2*r)/r)/r*r**(5/4))/(r/(r*(r/(r/r**(2/3)))/r))**41 assuming r is positive.
r**(-173/12)
Simplify (s**(-6/7)*s*s)**(-2/11) assuming s is positive.
s**(-16/77)
Simplify j/j**11*j*j*j*j*(j/(j**16*j))/j*j*j assuming j is positive.
j**(-21)
Simplify y*y/(y*(y*y**(9/5)/y)/y*y)*y*y/((y/((y*y**(1/4))/y))/y)*(y**(1/2))**(-17) assuming y is positive.
y**(-141/20)
Simplify (r*r**(-1)*r)**(-26)/(r*r*r/((r/((r/(r**(-1/3)*r))/r))/r*r*r)*r*r*r)**(3/8) assuming r is positive.
r**(-109/4)
Simplify n*n**(-3/4)/n*(n/n**13)/n assuming n is positive.
n**(-55/4)
Simplify m**(3/20)*m**(-12) assuming m is positive.
m**(-237/20)
Simplify (r**(2/9)/r)/(r/r**(-5/4))*r/(r*r*r**1)*r/((r**(-2)*r)/r) assuming r is positive.
r**(-73/36)
Simplify p**17/p**(-6) assuming p is positive.
p**23
Simplify ((o/(o**(-2/11)/o))**46)**(3/31) assuming o is positive.
o**(3312/341)
Simplify f**25/f*f*f**43 assuming f is positive.
f**68
Simplify (p**(-1)*p*p)**28/((p/(p*p**3))/(p/p**3)) assuming p is positive.
p**29
Simplify j/j**(-3)*j/((j*j**(-2))/j)*j*j*j*(j*j*j**(1/2))**0 assuming j is positive.
j**10
Simplify d**(-1/24)/(d*d/(d**(-12)/d)*d) assuming d is positive.
d**(-385/24)
Simplify ((n**(-1))**(-33))**(-3/4) assuming n is positive.
n**(-99/4)
Simplify (v**(4/5)*v/(v**(4/7)*v*v))/(v**(-2/3)*v*v/v**(-6)*v) assuming v is positive.
v**(-956/105)
Simplify (q**(2/11)/q**(-1/3))/(q**(2/5)/q*q)**(33/5) assuming q is positive.
q**(-1753/825)
Simplify ((x/x**7)/x**(-1/17))/(x*x**(1/10)/x*(x*x**(-3))/x) assuming x is positive.
x**(-517/170)
Simplify (g**28/g)/(g*g*g**(-1/32)) assuming g is positive.
g**(801/32)
Simplify l**27*l*(l*l/l**(-29)*l)/l assuming l is positive.
l**59
Simplify (r**(-3/4))**(3/4)*(r/r**(2/11))/r**(2/7) assuming r is positive.
r**(-37/1232)
Simplify m**(1/5)*m*m**(-8)*(m*m/m**(-2)*m)**16 assuming m is positive.
m**(366/5)
Simplify ((h*h**(3/4))/h*h*h*h**(-2/15)/h)/(h**(-4/7)/h**5) assuming h is positive.
h**(3019/420)
Simplify v**(-6)/(v**(1/2)*v) assuming v is positive.
v**(-15/2)
Simplify ((b**6/b)/b*b**4*b)/((b*b**2*b)/b**(-8)) assuming b is positive.
b**(-3)
Simplify (c*c**22*c)/(c**(-14)*c) assuming c is positive.
c**37
Simplify (((j/j**10)/j)/j*j*j*j**(-10/9)*j)**(-25) assuming j is positive.
j**(2050/9)
Simplify j**(2/27)/j**0 assuming j is positive.
j**(2/27)
Simplify ((w**5)**(40/7))**(-41) assuming w is positive.
w**(-8200/7)
Simplify h**(-8)/(h/h**8)*h**(-1/5)/h**(-8) assuming h is positive.
h**(34/5)
Simplify (t**(-5/4)/(t*t*(t*t/(t*(t/t**(-7))/t))/t))/((t*t/(t/(t*t**(1/3))))/t**(1/2)) assuming t is positive.
t**(23/12)
Simplify (a/a**(-1)*a*a)**(-50)/((a*a**(1/2)*a*a)/a**(6/5)) assuming a is positive.
a**(-2023/10)
Simplify (n/n**(-2/5))**(1/16)/(n/n**7*n/(n*(n/(n*n**(-4)))/n)) assuming n is positive.
n**(727/80)
Simplify (a**(4/39))**(4/17) assuming a is positive.
a**(16/663)
Simplify l**(-1)/l**(-1/6)*l/(l/l**0)*l**2 assuming l is positive.
l**(7/6)
Simplify (d**(3/2)*d*d/(d/d**(2/11)))/(d/(d/d**(-3/5))*d*d**(-1)/d*d) assuming d is positive.
d**(361/110)
Simplify (t*t**(2/7)*t)**(-45)/(t*t*t/(t/t**(-1))*t)**(-31) assuming t is positive.
t**(-286/7)
Simplify ((t*t**(2/23))/(t/(t**(1/10)/t))
|
{
"pile_set_name": "DM Mathematics"
}
|
= 17682567*b - 2. Let y(t) = -5*t**2. What is a(y(h))?
-88412835*h**2 - 2
Let g(x) = -43*x**2. Let s(v) = 84 - 255 + 3*v + 75 - v + 83. What is s(g(d))?
-86*d**2 - 13
Let c(s) = 2*s**2. Let z(v) = -7 + 3*v - 2 + 9. Let w(h) = -7*h - 1. Let j(x) = -2*w(x) - 10*z(x). What is j(c(k))?
-32*k**2 + 2
Let u(f) = -29*f. Let s(o) be the third derivative of 0 + 3/20*o**5 + 24*o + 0*o**4 + 2*o**2 + 0*o**3. Determine s(u(n)).
7569*n**2
Let t(u) = -6*u**2. Suppose -5*g = -2*g + 12, 0 = 2*m + g - 222. Let y(q) = -34*q - 44*q - 45*q + m*q. Calculate y(t(b)).
60*b**2
Let o(g) = g**2 - 41*g. Let h(p) = 3247*p. Determine h(o(x)).
3247*x**2 - 133127*x
Let q = -156 - -158. Let u(l) = -27*l**2 + 24*l**q - 1 + 21*l**2. Let d(i) = 3*i. Determine u(d(k)).
162*k**2 - 1
Let c(p) = -23*p + 8. Let f(b) = -15*b + 5. Suppose 5*j + 9 + 16 = 0. Let n(t) = j*c(t) + 8*f(t). Let r(x) = -5*x + 0*x + x + 0*x + 7*x. What is r(n(y))?
-15*y
Let x(z) = -4*z**2 - 1. Let f(l) be the second derivative of -l**4/6 - 36*l + 5. Determine x(f(s)).
-16*s**4 - 1
Let t(d) = 4*d**2. Let p(v) = 5844242*v. Give t(p(l)).
136620658218256*l**2
Let h(y) = 21481*y - 26. Let o(g) = 27*g - 2. Give h(o(a)).
579987*a - 42988
Let f(c) = -12*c**2 - 66. Let m(i) = -i**2 + 281*i. What is m(f(b))?
-144*b**4 - 4956*b**2 - 22902
Let r(z) = -2588*z - 2. Let b(l) = 203 - 10*l**2 + 194 + 12*l**2 - 397. Calculate b(r(f)).
13395488*f**2 + 20704*f + 8
Let h(u) = 3*u. Let y(r) = -2*r - 1432589. Give h(y(p)).
-6*p - 4297767
Let p(w) = -w**3 - 16*w**2 - 3*w - 46. Let a be p(-16). Let l(t) = 98*t**2 - 23*t**2 - 12*t**2 + 8*t**a + 126*t**2. Let v(d) = -2*d. Give l(v(k)).
788*k**2
Let s(u) = -263*u. Let q(h) = -19 + 7 + 33*h + 12 - 56*h. Determine q(s(k)).
6049*k
Let c(o) = 2 - 3*o - 2. Let m(i) = -7*i. Let p(q) = 5*c(q) - 2*m(q). Let k(w) be the second derivative of w**4/2 + 3466*w. Give k(p(f)).
6*f**2
Let d(o) = 6*o + o + 3*o - 9*o. Let s(v) = -11*v**2 + 5887*v - 5891*v + 7*v**2. What is s(d(k))?
-4*k**2 - 4*k
Let x(z) be the third derivative of -3221*z**5/60 - 774*z**2 + 2*z. Let o(w) = 2*w. Determine x(o(v)).
-12884*v**2
Let c(b) be the third derivative of -b**4/24 - 16*b**2. Let t(u) = 279*u - 720 + 720 - 55*u. Determine t(c(n)).
-224*n
Let y(d) = 6*d - 8*d**2 - 6*d. Let r(s) = 6*s - 26. Let i be r(8). Let t(k) = 12 + 10 - i - k**2. Give t(y(p)).
-64*p**4
Let n(d) = 9*d**2 + 26. Let q(o) = 68970*o. What is n(q(y))?
42811748100*y**2 + 26
Let p(c) be the third derivative of c**7/2520 + 13*c**5/20 + 21*c**2 + 1. Let a(n) be the third derivative of p(n). Let w(m) = 81*m**2. Give a(w(b)).
162*b**2
Let c(n) = -n**2 - n + 7. Let b(z) = -6*z**2 - 8*z + 56. Let v(d) = -b(d) + 8*c(d). Let m = -7 - -15. Let h(a) = -m - 8 + 16 - 12*a. What is h(v(q))?
24*q**2
Suppose 4*z - 3 - 7 = -2*u, 2*u = -5*z + 10. Let s(w) be the first derivative of 0*w + z*w**2 + 34 + 14/3*w**3. Let o(j) = 4*j. Calculate o(s(v)).
56*v**2
Let w = 31627 + -31625. Let x(r) be the first derivative of -24 + 1/2*r**w + 0*r. Let s(y) = 13*y - 2. Calculate x(s(p)).
13*p - 2
Let n(q) = -7381*q**2. Let v(b) = b**2 + 42688*b + 42690*b - 85378*b. Determine v(n(x)).
54479161*x**4
Let c(j) be the first derivative of j**2/2 - 4. Let r(p) = -1475 + 1475 - 3*p - 35*p. Determine c(r(m)).
-38*m
Let o(c) = -31*c**2 - 8*c - 4. Let s(y) = 4*y**2 - 7*y - 31*y**2 - 21 + 18. Let n(z) = 3*o(z) - 4*s(z). Let u(k) = -4*k. Determine n(u(h)).
240*h**2 - 16*h
Let d(n) = -55*n - 11. Let b be d(-2). Let u(z) = -36 - b*z**2 + 36 - 108*z**2. Let p(h) = -2*h. Give u(p(t)).
-828*t**2
Let z(r) = 9*r**2. Let a(x) = 7912362*x. Calculate a(z(o)).
71211258*o**2
Let g(w) = 3*w. Let o(l) = 13105669*l**2. What is o(g(y))?
117951021*y**2
Let t(a) = 180*a**2 + 66. Let s(m) = 45*m**2 + 18. Let z(o) = 11*s(o) - 3*t(o). Let q(r) be the third derivative of r**4/24 + 2*r**2. What is z(q(j))?
-45*j**2
Let s(h) = -28*h**2 - 23171136. Let q(o) = 2*o. What is q(s(a))?
-56*a**2 - 46342272
Let y(l) = l - 1387. Let o(c) = 231*c - 1 + 226*c + 1 - 456*c. Give o(y(u)).
u - 1387
Let a(q) = 20*q - 4*q**2 + 5*q - 58*q + 33*q. Let l(p) = 11*p**2 + 33. Calculate l(a(h)).
176*h**4 + 33
Let d(s) = -38*s. Let n(m) be the first derivative of m**5/120 + 17*m**3/3 + 2*m**2 + 138. Let v(l) be the third derivative of n(l). What is d(v(g))?
-38*g
Let z(i) = 314*i. Let r(y) = -67891*y**2. Calculate z(r(j)).
-21317774*j**2
Let t(u) = 1710*u - 3675*u + 1964*u. Let y(a) = 91*a + 69*a + 14*a. Calculate t(y(w)).
-174*w
Let d = -31 + 35. Let j(y) = d - 315*y - 4 + 336*y. Let b(o) be the third derivative of o**5/20 - 5*o**2 + 15. Give j(b(w)).
63*w**2
Let j(v) = -2*v. Let i(w) = -10*w**2 - 32. Let q(z) = -3*z**2 - 10. Let o be 3 + (96/120)/((-4)/(-10)). Let t(x) = o*i(x) - 16*q(x). What is j(t(s))?
4*s**2
Let c(y) = 28*y - 4981 + 2451 + 2529. Let o(i) = -1. Let z(n) = 3*n - 6. Let b(v) = 6*o(v) - z(v). What is c(b(p))?
-84*p - 1
Let j(m) = -m**2 + 5*m - 6. Let a(c) = -2*c**2 + 6*c - 7. Let k(d) = -6*a(d) + 7*j(d). Let g(h) = 0*h - 15*h - 2*h**2 + 0*h**2 + 15*h. Determine k(g(z)).
20*z**4 + 2*z**2
Let i(j) = -2*j. Let l(u) = 19833262*u. What is l(i(z))?
-39666524*z
Let o(t) = 131*t. Let i(v) = -30139*v**2 - 5. Calculate i(o(a)).
-517215379*a**2 - 5
Let v(n) = 4 - 14*n + 2 - 69*n - 74*n - 5. Let p(x) = x**2. Calculate v(p(b)).
-157*b**2 + 1
Let w(t) = -2*t**2. Let f(v) = -2933*v - 176. Calculate f(w(s)).
5866*s**2 - 176
Let p(i) = 0 - 2*i**2 + 0. Let c(q) = 894*q - 35. Let k(b) = -225*b + 9. Let t(y) = -9*c(y) - 35*k(y). Determine t(p(f)).
342*f**2
Let q(t) = 2*t**2 - 67. Let d(a) = -71 + 68 + 3 + 17*a. Give q(d(m)).
578*m**2 - 67
Let b(j) = -6*j. Let s(x) = -19778923*x. Calculate s(b(w)).
118673538*w
Let y(z) be the second derivative of 7*z**4/12 + 2*z. Let u(a) be the first derivative of 0*a + 0*a**2 - 13 + 5/3*a**3. Determine y(u(o)).
175*o**4
Let r be 2/(-4) - (-69)/46. Let s be ((-6)/(-3))/r - 0. Let m(v) = 20 - 33 + 19 - s*v**2. Let n(u) = u**2. Determine m(n(a)).
-2*a**4 + 6
Let c(a) = -21*a. Let p(d) be the first derivative of -d**4/6 - 109*d**2 - d - 43. Let i(h) be the second derivative of p(h). Calculate c(i(v)).
84*v
Let i(o) = 3*o. Suppose -5*x - 1 = -61. Let c be -2*((-3)/2 + 2). Let s(u) = -u. Let z(h) = -9*h. Let n(b) = c*z(b) + x*s(b). Give n(i(w)).
-9*w
Let m(k) = 3*k**2 - k - 2. Let g(z) = 2*z**2 - 2*z - 3. Let h(p) = -g(p) + 2*m(p). Let v(x) be the first derivative of -2*x**3/3 - 1. Calculate v(h(w)).
-32*w**4 + 16*w**2 - 2
Let l(i) = 17*i + 3. Let t(q) = -273*q - 49. Let s(g) = -98*l(g) - 6*t(g). Suppose 0 = 9*p - 81404 - 158977. Let d(j) = -p - j**2 + 26709. What is d(s(w))?
-784*w**2
Let r(i) be the first derivative of 0*i - 1/3*i**3 - 5 + 0*i**2. Let s(b) be the third derivative of -7*b**4/24 - b**2. Determine r(s(m)).
-49*m**2
Let a(s) = -7*s**2. Let g(i) = -307662 + 307662 - 139*i. Calculate g(a(c)).
973*c**2
Let i(w) = 13870*w**2. Let k(c) = 22463*c. Determine k(i(n)).
311561810*n**2
Let x(f) = -2*f - 4. Let k(d) = -193*d**2 + 14. What is x(k(b))?
386*b**2 - 32
Let f(k) be the second derivative of -5/6*k**3 + 0*k**2 + 0 - 96*k. Let s(v) = 5*v**2. Determine s(f(h)).
125*h**2
Let k(c) = 3*c - c + 0*c. Let o(z) = z + 3840 - 3803 - 2*z + 0*z + 2*z. Give k(o(r)).
2*r + 74
Let t(b) be the third derivative of -34*b**2 + 1/12*b**4 + 0 + 0*b + 0*b**3. Let v(d) = -35*d - 3. Determine t(v(f)).
-70*f - 6
Let t(v) = -228*v**2 + 105*v**2 + 121*v**2. Let y(o) = 99*o. Calculate t(y(k)).
-19602*k**2
Let p(s) = 24*s + 54. Let c(x) = x + 3. Let w(h) = 18*c(h) - p(h). Let a(i) be the first derivative of -19*i**3/3 + 56. What is w(a(t))?
114*t**2
Let k(y) = -94*y**2. Let z(q) = 5167*q. Determine k(z(n)).
-2509601566*n**2
Let n(q) be the first derivative of -8*q**2 - 2. Let y(b) be the second derivative of -13*b**4/12 - 333*b + 5. What is y(n(g))?
-3328*g**2
Let b(l) = 2*l**2. Let v(h) = -9*h**2. Let j(r) = 6*r - 19. Let x be j(-12). Let f(s) = -403*s**2. Let w(c) = x*v(c) + 2*f(c). What is w(b(m))?
52*m**4
Let x(c) = -10*c. Let l(n) = -n**2 - 668*n - 35. Give x(l(f)).
10*f**2 + 6680*f + 350
Let g(n) = -4376410*n**2. Let b(d) = 48*d**2. What is g(b(l))?
-10083248640*l**4
Let y(n) be the first derivative of 1 - 29 + n**2 - 6. Let v(t) = 10*t**2 - 18*t**2 - 13*t**2. Determine v(y(j)).
-84*j**2
Let b(i) = 670*i**2. Let g(j) = 16594*j
|
{
"pile_set_name": "DM Mathematics"
}
|
588449805956.
4*(u + 804433)**2
Solve o**5 - 81*o**4 + 903*o**3 + 2393*o**2 - 3216*o = 0 for o.
-3, 0, 1, 16, 67
Find w, given that 4*w**3 + 42476*w**2 + 932444*w - 974924 = 0.
-10597, -23, 1
Factor h**3/4 - 1479*h**2 + 129645*h/4 + 67781/2.
(h - 5894)*(h - 23)*(h + 1)/4
Factor j**3/3 - 150*j**2 - 13879*j - 81466/3.
(j - 529)*(j + 2)*(j + 77)/3
Find y such that 1458*y**4 - 1890*y**3 + 464*y**2 - 32*y = 0.
0, 4/27, 1
Solve -10*b**4/9 - 9826*b**3/9 + 29578*b**2/9 + 9826*b/9 - 9856/3 = 0 for b.
-4928/5, -1, 1, 3
Determine d so that -2*d**4/9 + 4078*d**3/9 + 16342*d**2/9 + 1366*d/3 - 2724 = 0.
-3, -2, 1, 2043
Factor -4*k**2 + 170908*k/9 + 88648/3.
-4*(k - 4749)*(9*k + 14)/9
Determine y, given that -10*y**5 - 1985*y**4 + 7155*y**3 + 17135*y**2 - 7145*y - 15150 = 0.
-202, -3/2, -1, 1, 5
Factor -4*t**2 - 459736*t.
-4*t*(t + 114934)
Suppose 2*y**3/7 + 6474*y**2/7 + 12942*y/7 + 6470/7 = 0. Calculate y.
-3235, -1
Factor -388131591125*w**2 - 11144600*w - 80.
-5*(278615*w + 4)**2
Let -2*r**4/5 - 150*r**3 + 4566*r**2/5 - 2306*r/5 - 1524 = 0. Calculate r.
-381, -1, 2, 5
Factor 5*h**3 + 85*h**2 - 1890*h + 1800.
5*(h - 12)*(h - 1)*(h + 30)
Find v, given that -6*v**4/5 + 942*v**3/5 + 2934*v**2/5 - 8478*v/5 - 5184 = 0.
-3, 3, 160
Factor -2*m**2/5 + 674284*m - 284161820410.
-2*(m - 842855)**2/5
Determine v so that -2*v**4/17 + 200*v**3/17 - 5770*v**2/17 + 2420*v - 35568/17 = 0.
1, 9, 38, 52
Determine r so that r**3 - 106*r**2 + 511*r - 606 = 0.
2, 3, 101
Suppose -4*c**3/5 + 1036*c**2/5 + 632*c - 4192/5 = 0. What is c?
-4, 1, 262
Factor j**3 + 1525*j**2 + 427047*j - 124698573.
(j - 173)*(j + 849)**2
Suppose -2*h**3/7 + 338272*h**2/7 - 2043404502*h + 4086615708 = 0. Calculate h.
2, 84567
Factor l**3 - 117*l**2/7 + 158*l/7 + 2952/7.
(l - 9)*(l + 4)*(7*l - 82)/7
Suppose 3*b**5/5 + 3972*b**4/5 + 1294698*b**3/5 - 2655732*b**2 + 22657323*b/5 - 10677336/5 = 0. Calculate b.
-667, 1, 8
Determine v, given that -3*v**5 + 4002*v**4 + 28107*v**3 + 72354*v**2 + 80436*v + 32184 = 0.
-2, -1, 1341
Determine r, given that -51*r**3 - 206799*r**2/5 + 211926*r/5 - 4872/5 = 0.
-812, 2/85, 1
Solve -2*s**3/9 + 298*s**2/9 + 4516*s/9 + 2608/3 = 0.
-12, -2, 163
Factor k**4 - 499*k**3 + 82775*k**2 - 4563125*k.
k*(k - 175)**2*(k - 149)
Factor -2*t**4 - 30430*t**3 + 60866*t**2 - 30434*t.
-2*t*(t - 1)**2*(t + 15217)
Determine n, given that 2*n**3/7 - 3504*n**2/7 + 59022*n/7 - 55520/7 = 0.
1, 16, 1735
Factor 2*m**2/11 - 4754140*m/11 + 2825230892450/11.
2*(m - 1188535)**2/11
Solve v**4 - 125*v**3 + 602*v**2 - 232*v - 960 = 0.
-1, 2, 4, 120
Suppose -2*g**5/9 - 34*g**4/9 + 2390*g**3/9 + 226*g**2/9 - 5612*g/3 + 1584 = 0. What is g?
-44, -3, 1, 2, 27
Determine i so that -i**3 - 14*i**2 + 1081*i - 1066 = 0.
-41, 1, 26
What is y in 3*y**5 - 117549*y**4/2 + 288149190*y**3 - 2733289791*y**2 + 5751086535*y + 7189776075/2 = 0?
-1/2, 5, 9791
Solve r**5/3 - 239*r**4/6 - 941*r**3/3 - 2945*r**2/6 + 1516*r/3 + 1016/3 = 0.
-4, -1/2, 1, 127
Solve s**2/7 + 8*s/7 - 180/7 = 0.
-18, 10
Factor -7*p**3/9 + 415*p**2/9 + 1168*p/9 + 620/9.
-(p - 62)*(p + 2)*(7*p + 5)/9
Let -4*i**5/3 - 280*i**4/3 - 5116*i**3/3 - 21016*i**2/3 - 31312*i/3 - 15136/3 = 0. What is i?
-43, -22, -2, -1
Solve 16*j**5 + 216*j**4 + 273*j**3 - 178*j**2 + 24*j = 0 for j.
-12, -2, 0, 1/4
Find u, given that u**4/3 - 20*u**3/3 - 1405*u**2/3 - 13240*u/3 - 3952 = 0.
-19, -12, -1, 52
Find a, given that 5*a**3/3 - 3605*a**2/3 + 28595*a/3 - 17825 = 0.
3, 5, 713
Suppose -m**3/2 + 331*m**2/2 - 643*m/2 - 4935/2 = 0. Calculate m.
-3, 5, 329
Factor 2*u**2/17 - 2634*u/17 - 64368/17.
2*(u - 1341)*(u + 24)/17
Find r, given that 2*r**3/7 - 802*r**2 + 11220*r/7 = 0.
0, 2, 2805
Suppose -2*z**2/11 - 3844*z/11 - 19170/11 = 0. Calculate z.
-1917, -5
Factor 3*k**3/5 + 198*k**2 + 4857*k/5 - 1170.
3*(k - 1)*(k + 6)*(k + 325)/5
Factor -3*h**5 - 5364*h**4 - 2413719*h**3 - 14289858*h**2.
-3*h**2*(h + 6)*(h + 891)**2
Find f, given that -12*f**2/7 + 4257*f/7 + 1065/7 = 0.
-1/4, 355
What is z in z**2/5 - 175466*z/5 + 7697079289/5 = 0?
87733
Let -2*w**3/11 - 3108*w**2/11 - 18562*w/11 + 21672/11 = 0. Calculate w.
-1548, -7, 1
Factor a**3/4 - 391503*a**2/4 + 587251*a/2 - 195750.
(a - 391500)*(a - 2)*(a - 1)/4
Suppose -r**2/6 + 55*r/3 - 875/2 = 0. Calculate r.
35, 75
Factor 4*p**2 + 7122440*p + 3170571972100.
4*(p + 890305)**2
Solve -4*w**5/5 - 623*w**4/5 + 12069*w**3/10 - 4681*w**2/2 - 4625*w/2 - 825/2 = 0 for w.
-165, -1/2, -1/4, 5
Factor 2*f**2/15 + 1504*f/15 - 40456/15.
2*(f - 26)*(f + 778)/15
Suppose 4*q**4 - 52*q**3 - 736*q**2 + 14320*q - 57600 = 0. Calculate q.
-16, 9, 10
What is h in -h**2 - 2153*h - 15022 = 0?
-2146, -7
Solve -3*i**2/4 + 120*i = 0.
0, 160
Let -4*p**5 + 180*p**4 - 1612*p**3 - 8532*p**2 - 11488*p - 4752 = 0. What is p?
-2, -1, 22, 27
Let -5*k**4 + 140*k**3 - 265*k**2 + 130*k = 0. Calculate k.
0, 1, 26
Suppose 2*l**3 - 4456*l**2 + 31094*l = 0. Calculate l.
0, 7, 2221
Factor 3*c**2/2 - 849*c/2 + 28815.
3*(c - 170)*(c - 113)/2
Factor 2*r**2 + 20424*r + 163264.
2*(r + 8)*(r + 10204)
Factor -2*c**2 + 528*c + 3240.
-2*(c - 270)*(c + 6)
Factor 2*d**4 - 74*d**3 + 242*d**2 + 714*d + 396.
2*(d - 33)*(d - 6)*(d + 1)**2
Factor -j**2/2 - 3839*j - 14737921/2.
-(j + 3839)**2/2
Suppose -3*h**5/7 + 105*h**4 - 56568*h**3/7 + 1059864*h**2/7 + 23341776*h/7 + 41979696/7 = 0. Calculate h.
-11, -2, 86
Determine v so that v**2 - 46*v - 840 = 0.
-14, 60
Suppose h**3 - 21181*h**2 + 42359*h - 21179 = 0. Calculate h.
1, 21179
Factor 4*b**2 - 6191400*b + 2395839622500.
4*(b - 773925)**2
Factor -3*c**4/5 - 4383*c**3 + 43842*c**2/5.
-3*c**2*(c - 2)*(c + 7307)/5
Find m such that -123*m**2/4 - 117*m + 960 = 0.
-320/41, 4
Find o such that 3072*o**4 - 337152*o**3 + 9334512*o**2 - 4604232*o + 572907 = 0.
1/4, 437/8
Suppose 3*k**4 + 243*k**3 - 8985*k**2 + 65025*k + 74250 = 0. Calculate k.
-110, -1, 15
Suppose -276*v**2 + 270200*v + 3916 = 0. Calculate v.
-1/69, 979
Factor -2*w**3 - 174*w**2 - 828*w - 656.
-2*(w + 1)*(w + 4)*(w + 82)
Factor -4*c**4/7 - 24*c**3 - 1364*c**2/7.
-4*c**2*(c + 11)*(c + 31)/7
Solve -2*k**5/3 - 42*k**4 + 1008*k**3 + 55224*k**2 - 964224*k - 3359232 = 0.
-54, -3, 24
Factor -2*s**3/11 - 1420*s**2/11 - 335650*s/11 - 2401000.
-2*(s + 220)*(s + 245)**2/11
Find z such that -z**4 + 186*z**3 - 8480*z**2 - 31434*z + 1461681 = 0.
-13, 13, 93
Factor -t**4 - 200*t**3 - 4422*t**2 - 8248*t - 4025.
-(t + 1)**2*(t + 23)*(t + 175)
Factor 50*a**3 - 10895*a**2 + 20565*a - 9720.
5*(a - 216)*(a - 1)*(10*a - 9)
Factor 3*u**2/2 - 768*u - 266739/2.
3*(u - 649)*(u + 137)/2
Let r**4 + 381*r**3 - 23812*r**2 + 292020*r + 1573200 = 0. Calculate r.
-437, -4, 30
Suppose 2*s**5 + 3514*s**4 + 1462388*s**3 - 71320300*s**2 + 786106282*s + 858885458 = 0. What is s?
-901, -1, 23
Factor 4*v**2 - 748*v + 29344.
4*(v - 131)*(v - 56)
Determine h, given that -h**2/8 - 2758*h - 15213128 = 0.
-11032
Let 6*x**5 + 363*x**4 + 1218*x**3 + 1203*x**2 + 342*x = 0. What is x?
-57, -2, -1, -1/2, 0
Solve -4*u**4 - 244*u**3 + 6248*u**2 + 13440*u = 0.
-80, -2, 0, 21
Solve -5*c**3 + 180225*c**2 - 1624322835*c + 4871346615 = 0 for c.
3, 18021
Suppose -2*b**3/3 - 5596*b**2 - 268174*b/3 - 217828 = 0. What is b?
-8378, -13, -3
Suppose -5*h**3/2 + 258595*h**2 - 13374274805*h/2 = 0. Calculate h.
0, 51719
Solve r**3/4 - 33647*r**2/4 - 50475*r/2 = 0.
-3, 0, 33650
Solve 33*n**3 + 6165*n**2 - 19932*n + 3420 = 0 for n.
-190, 2/11, 3
Find n such that 3*n**4 + 1167*n**3 - 1170*n**2 = 0.
-390, 0, 1
Factor 3*n**4 + 107781*n**3 + 1289957967*n**2 + 5133567924039*n - 113563982339742.
3*(n - 22)*(n + 11983)**3
Factor 3*l**4 - 63*l**3 - 2745*l**2 - 21225*l - 47250.
3*(l - 45)*(l + 5)**2*(l + 14)
Find g, given that 6*g**2 + 271083*g + 135540 = 0.
-45180, -1/2
Factor c**3 - 106417*c**2 + 2831410496*c - 14154392180.
(c - 53206)**2*(c - 5)
Factor 2*a**2 - 3734*a + 135420.
2*(a - 1830)*(a - 37)
Find j, given that -3*j**2/7 - 85200*j/7 - 604920000/7 = 0.
-14200
Factor -j**2/5 + 39268*j/5 + 15708.
-(j - 39270)*(j + 2)/5
Factor -9*y**3 - 700*y**2 - 10932*y + 2464.
-(y + 22)*(y + 56)*(9*y - 2)
Let -3*m**5 + 27*m**4 + 27*m**3 - 363*m**2 - 360*m = 0. What is m?
-3, -1, 0, 5, 8
Determine n so that 2*n**2/5 - 2954244*n/5 + 1090944701442/5 = 0.
738561
Suppose -2*i**2 + 409596*i - 20971110402 = 0. What is i?
102399
Factor b**3/9 + 14*b**2/9 - 97*b/9 - 1430/9.
|
{
"pile_set_name": "DM Mathematics"
}
|
*r + 40. Let h(l) = -l - 8. Let t(u) = -11*h(u) - 2*k(u). Determine t(q(f)).
2*f**2 + 8
Let x(b) = -5*b. Let o(a) = 11*a**2 - 4*a - 2. Let y be o(4). Let m(g) = 302*g - 157*g - y*g. What is x(m(u))?
65*u
Let n(g) be the third derivative of -g**4/24 + 619*g**2 - 1. Let r(c) = -27*c**2 - 26. What is r(n(j))?
-27*j**2 - 26
Let p(x) = -296834*x - 2*x**2 + 296834*x. Let q(o) = 118*o**2. Calculate q(p(v)).
472*v**4
Let u be 0*6/12 + 2. Let a(i) = -771*i**2 + 384*i**2 + 388*i**u. Let h(l) = -3*l + 0*l - 3*l. Determine h(a(m)).
-6*m**2
Let s(u) = 656 - 1974 + 19*u**2 + 657 + 660. Let n(z) = 3*z**2. Give n(s(h)).
1083*h**4 - 114*h**2 + 3
Let b(l) be the third derivative of 51*l**5/20 - l**4/24 + 12*l**2. Let y(w) = 2*w + 302. Let g(a) = 8*a + 1359. Let q(h) = 2*g(h) - 9*y(h). Calculate q(b(s)).
-306*s**2 + 2*s
Let s(h) = -5*h. Let o(y) be the first derivative of y**4/12 + 55*y + 2. Let t(r) be the first derivative of o(r). Give s(t(l)).
-5*l**2
Let n(b) = -12*b - 4. Let u(z) = -109*z - 36. Let q(i) = 18*n(i) - 2*u(i). Let x(w) = w**2 - 3. Determine q(x(g)).
2*g**2 - 6
Let b(s) be the third derivative of -31*s**4/6 - s**3/6 + 62*s**2 + 10*s. Let m(k) = 41*k**2. Calculate b(m(a)).
-5084*a**2 - 1
Let c(n) = 586095*n**2. Let q(y) = y**2. What is q(c(o))?
343507349025*o**4
Let x(u) = -23*u**2 + 11*u. Let c(y) = -622*y. Calculate x(c(n)).
-8898332*n**2 - 6842*n
Let y(a) = -a**3 - 8*a**2 - 12*a + 3. Suppose -118*j + 123*j = -30. Let r be y(j). Let x(w) = 5*w - 5*w - r*w. Let u(z) = 9*z**2. What is u(x(i))?
81*i**2
Let i(o) be the third derivative of 0*o + 0*o**4 - 1/20*o**5 + 0*o**3 + 3*o**2 + 8. Let s(p) = 13*p**2. What is i(s(d))?
-507*d**4
Let q(j) = 44*j**2. Suppose -16 = 3*m - 2*a, 12*m + 11 = 11*m - 5*a. Let y(t) = t**2. Let g(o) = m*y(o) + q(o). Let r(b) = 3*b**2. Calculate g(r(k)).
342*k**4
Let m(j) = -16*j**2 + 56. Let s(n) = -25470*n. Calculate m(s(u)).
-10379534400*u**2 + 56
Let n(h) = -1004*h - 22. Let x(t) = 137*t + 3. Let l(a) = 6*n(a) + 44*x(a). Let i(s) = -2*s**2 - 102*s. Determine l(i(z)).
-8*z**2 - 408*z
Let q(y) = -2*y**2 + 0*y**2 + 3*y**2. Let u(i) be the third derivative of i**5/3 - i**3/2 + 38*i**2. Let o(k) be the first derivative of u(k). Give o(q(t)).
40*t**2
Let f(j) = 5024608*j. Let o(h) = -3*h. What is f(o(y))?
-15073824*y
Let z be 567 - ((-2)/13 + 378/91). Let a(c) = -283*c + z*c + 7*c**2 - 280*c. Let p(v) = 2*v**2. Give a(p(f)).
28*f**4
Let s(j) = 20*j + 38*j - 49*j**2 - 478*j**2 + 10*j. Let u(b) = -39*b**2 + 5*b. Let d(r) = -5*s(r) + 68*u(r). Let p(y) = y - y - 2*y + 3*y. Calculate p(d(a)).
-17*a**2
Let v(p) = -5*p + 214. Let t(r) = -2*r + 93. Let c(s) = -19*t(s) + 8*v(s). Let d(z) = 12*z. Calculate d(c(n)).
-24*n - 660
Let b(s) = 11577*s**2 - 5800*s**2 - 5775*s**2. Let h(q) = 734*q**2 - 2. Determine h(b(p)).
2936*p**4 - 2
Let j(p) be the second derivative of 31*p**3/6 + 1461*p. Let d(x) = -6*x + 7*x + 4*x. Give d(j(u)).
155*u
Let y(d) = -d**2. Suppose -9*f = -28 + 1. Let r(j) = f*j**2 - 18 + 2 - 14 + 0. What is y(r(l))?
-9*l**4 + 180*l**2 - 900
Let n(h) = 26*h - 3. Let q(c) = -1035*c + 120. Let x(a) = -200*n(a) - 5*q(a). Let r(j) = -j**2 - 2*j**2 - j**2. Calculate r(x(d)).
-2500*d**2
Let i(o) = -2*o - 16. Suppose 5*d + 5 = 4*s, -s = -3*d + 4*d + 10. Let q be (-4)/s + (-30)/(-25). Let r(j) = 4*j**2 + 2*j**2 - 4*j**q - 4*j**2. What is i(r(p))?
4*p**2 - 16
Let d(s) = 28*s**2. Let z(f) = 1603*f - 49. Determine z(d(y)).
44884*y**2 - 49
Let u(d) = 7778*d**2 + d - 16. Let j(m) = 3*m. Give u(j(z)).
70002*z**2 + 3*z - 16
Let j(h) = -588315*h**2. Let g(s) = -47*s**2. Determine j(g(f)).
-1299587835*f**4
Let l(m) be the third derivative of -1271*m**4/6 + 11*m**2 + m - 21. Let b(v) = -2*v. What is b(l(w))?
10168*w
Let k(h) = -176*h. Let g(q) = -10*q - 36. Let v(d) = -77*d - 264. Let j(w) = -22*g(w) + 3*v(w). Give j(k(l)).
1936*l
Suppose 4*x + 10 + 14 = -5*s, -3*s = -4*x + 40. Let l(p) be the second derivative of 1/6*p**3 - 34*p + 0 + 0*p**2 - 25/12*p**x. Let h(u) = 2*u**2. Give l(h(f)).
-100*f**4 + 2*f**2
Let g(w) be the third derivative of -w**4/24 - 127*w**2. Let t(d) = 140*d**2 - 5*d + 5*d + 94*d**2. Give g(t(c)).
-234*c**2
Let o(r) = 2*r**2. Let l(g) = 30*g + 7. Let w(a) = 44*a + 6. Let z(s) = 3*l(s) - 2*w(s). Determine z(o(h)).
4*h**2 + 9
Let h(w) = -54889*w. Let x(i) = -111*i. What is h(x(r))?
6092679*r
Let c(a) = 46268512*a - 31*a**2 - 46268512*a. Let d(f) = -55*f**2. What is c(d(q))?
-93775*q**4
Let w(q) be the first derivative of 5*q**3/3 - 221. Let s(r) = 5*r**2. Let c(l) = l**2. Let d(y) = 10*c(y) - s(y). Calculate d(w(t)).
125*t**4
Let d(y) = -17013*y. Let x(m) = -2*m**2 - 1242*m. What is d(x(t))?
34026*t**2 + 21130146*t
Let b(z) = 0*z + 0*z + 2*z**2 + 4*z**2 - 13. Let s(k) = -25*k**2 + 6*k - 24. Let f(a) = -104*a**2 + 25*a - 100. Let u(t) = 6*f(t) - 25*s(t). Calculate u(b(x)).
36*x**4 - 156*x**2 + 169
Let h(q) = 55949 - 55949 + 131*q. Let d(a) = 3*a**2. Calculate d(h(l)).
51483*l**2
Let z = 10 + -6. Suppose z*y - 4 = 4. Let f(v) = 420*v - 420*v + v**2 + 0*v**y. Let x(g) = -39*g. Calculate f(x(q)).
1521*q**2
Let j(y) be the second derivative of 7*y**3/6 - 570*y. Let d(r) = -2*r - 83. Determine j(d(z)).
-14*z - 581
Let c(q) = 360*q**2 + 2*q. Let v(a) = 5*a. Let x(n) = -7*n. Let s(w) = -5*v(w) - 4*x(w). Calculate s(c(f)).
1080*f**2 + 6*f
Let s(o) be the first derivative of -111 + 0*o - 1/2*o**2. Let c(i) = 139*i**2. Calculate c(s(v)).
139*v**2
Let b(d) = -7*d**2 - 30*d. Let r(o) = 4*o**2 + 12*o. Let q(z) = 2*b(z) + 5*r(z). Let f(c) = 42*c + 2. What is f(q(i))?
252*i**2 + 2
Let v(w) be the second derivative of 53*w**5/20 + 48*w**2 - w + 142. Let t(c) be the first derivative of v(c). Let f(n) = -2*n**2. Calculate f(t(j)).
-50562*j**4
Let z(i) = -3*i**2. Let x(a) be the first derivative of -4*a**3/3 + 9*a**2 + 965. Calculate x(z(v)).
-36*v**4 - 54*v**2
Let a(s) = 67*s + 1. Let q(l) = -8866*l. Give q(a(p)).
-594022*p - 8866
Let j(a) = 2*a**2 + 6. Let i(c) = -7027*c**2. Determine j(i(q)).
98757458*q**4 + 6
Suppose -4*p = -10*p + 6. Let x be (-2)/(-2 + p/((-14)/(-24))). Let k(m) = 3*m**2 + x - 17 + 10. Let r(j) = -2*j**2. Give k(r(n)).
12*n**4
Let s(w) = -w**2. Suppose 4*d + d - 150 = 0. Suppose -6*k + d = -0. Let v(q) = 6*q + 0*q - k*q - 3*q. Give s(v(f)).
-4*f**2
Let m(v) = 27934903*v**2. Let l(c) = -2*c. Calculate m(l(y)).
111739612*y**2
Let o(j) be the first derivative of 0*j**2 + 0*j - 1/3*j**3 - 25. Let u(k) = -15*k + 452 - 452. Determine o(u(y)).
-225*y**2
Let m(o) = -38*o**2. Let i be (15 + -22 - -8)*0. Let v(x) be the second derivative of i*x**2 + 0 - 22*x - 1/3*x**3. What is m(v(n))?
-152*n**2
Let z(a) = 209*a. Let t(w) = 1229758*w. Give z(t(l)).
257019422*l
Let c(q) be the first derivative of -2*q**3/3 + 5*q**2/2 + 10*q - 2309. Let a(j) = -2*j**2. Calculate c(a(k)).
-8*k**4 - 10*k**2 + 10
Let g(d) = 3*d - d - 7 + 3*d. Let z(h) = -7882*h**2 + 3940*h**2 + 118 + 3941*h**2 - 118. Give z(g(r)).
-25*r**2 + 70*r - 49
Suppose -4*a - 3*o = -1, -21 + 1 = 4*o. Suppose a*n = -2*q + 5*q + 36, q + 8 = n. Let m(l) = -15*l**2 - n*l + 12*l. Let u(i) = -3*i**2. Give m(u(j)).
-135*j**4
Let w(f) = 17 - 2*f - 172 + 155. Let x(g) = 10*g**2 - 303*g. Calculate w(x(l)).
-20*l**2 + 606*l
Let l(a) = 3*a + 1. Let c(g) be the second derivative of -g**3/2 + 3*g + 23. What is c(l(w))?
-9*w - 3
Let o(k) = 40*k. Let i(c) = 105*c + 742. Let l(w) = 7*w + 49. Let j(s) = 6*i(s) - 91*l(s). Give o(j(b)).
-280*b - 280
Suppose 5*s = -5*u + 90, 60 = 3*s - 0*s + 5*u. Suppose 10*p - s = 5. Let o(f) = 591*f**p + 0*f - 595*f**2 + 0*f. Let v(y) = -2*y**2. Determine o(v(g)).
-16*g**4
Let b(x) = -104*x - 156*x + 227*x. Let w(i) = -2*i - 1. What is w(b(r))?
66*r - 1
Let y(p) be the first derivative of -3*p**2/2 - 5. Let m(n) = 19*n - 8. Let d(f) = -76*f + 36. Let t(w) = -2*d(w) - 9*m(w). What is y(t(c))?
57*c
Let i(p) = -p. Let g(h) = -15211*h**2 - 1547*h + 1. Give i(g(q)).
15211*q**2 + 1547*q - 1
Let z(a) = -39446535*a**2. Let n(j) = j. Calculate z(n(q)).
-39446535*q**2
Let h = 98 - 96. Let x(m) = 30*m**2 - 95*m**2 + 31*m**2 + 33*m**h. Let y(g) = -g**2 + 17. Determine y(x(w)).
-w**4 + 17
Let y(g) = 27*g**2. Let m be -1*((-3)/(-3) - 19). Let b(s) = 14*s - 31. Let f be b(3). Let j(d) = f + 7 - d - m. Determine y(j(o)).
27*o**2
Let h(g) be the third derivative of -3*g**4/
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{
"pile_set_name": "DM Mathematics"
}
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109*q + 353. Let u(a) = -7*i(a) + 12*l(a). Factor u(n).
-2*(n - 20)*(n + 3)
Let v = 34 - 19. Let t = -11 + v. Let -14*p**3 - t*p**2 - 22*p**4 - 2*p**5 + 0*p**5 - 4*p**5 + 6*p**4 = 0. What is p?
-1, -2/3, 0
Determine a so that 21/5*a**2 + 27/5*a**4 - 69/5*a**3 - 48/5 + 72/5*a - 3/5*a**5 = 0.
-1, 1, 4
Let w = -178 - -182. Let a(c) be the first derivative of -c**2 - 2*c + 3 + 2/3*c**3 + 1/2*c**w. Let a(s) = 0. Calculate s.
-1, 1
Let i(m) be the third derivative of -m**5/6 + m**4 + 3*m**3 + 40*m**2 - 5*m. Factor i(c).
-2*(c - 3)*(5*c + 3)
Let j = -318/37 - -1028/111. Determine v so that -1/3*v + 1/3*v**2 - j = 0.
-1, 2
Let o be (5 + -6)/(528/(-420) - (-1)/(-7)). Let -4/7*n + 1/7*n**2 - o = 0. What is n?
-1, 5
Let v = 4903/1090 + 1/545. What is h in -33/2*h + v*h**2 + 9 = 0?
2/3, 3
Let c(a) be the second derivative of -a**7/462 + a**6/330 + 3*a**5/220 - a**4/132 - a**3/33 + 5*a + 3. Suppose c(l) = 0. What is l?
-1, 0, 1, 2
Suppose -3*p + 3*l + 0 = -3, 0 = -3*p + 5*l - 3. Let n(u) be the first derivative of 1/2*u**p + 7 + 1/3*u**3 + 0*u**2 + 0*u. Factor n(b).
b**2*(2*b + 1)
Let b = 19/31 + -287/620. Let c(r) be the first derivative of -5 + b*r**4 + 3/5*r**3 + 0*r**2 + 0*r. What is n in c(n) = 0?
-3, 0
Let m(k) = -2*k**2 - 2. Let w(z) = -z**2 - z - 3. Let b be -5 - -4 - 4/(-2). Suppose -l - 5 = b. Let s(u) = l*m(u) + 4*w(u). Factor s(j).
4*j*(2*j - 1)
Let q(p) be the second derivative of -p**5/160 - p**4/24 + p**3/12 + p**2 - 147*p - 1. Let q(s) = 0. Calculate s.
-4, -2, 2
Let b(i) be the first derivative of i**4/28 + 10*i**3/21 + i**2/2 - 18*i/7 + 238. Solve b(k) = 0.
-9, -2, 1
Let i be 8/(-1) - (-9 - (-9 + 4)). Let d be 6/i*(-2 + 0). Factor -4/13 - 32/13*v**2 - 14/13*v**d - 22/13*v.
-2*(v + 1)**2*(7*v + 2)/13
Suppose 5*h = -l + 11, -19 = -4*l - 2*h + 7. Determine d, given that 8*d**2 + 2*d**3 - 37*d + 50*d - d**3 + l = 0.
-6, -1
Suppose 8*t = 23*t + 269 - 359. Factor -2/3*m**3 - t*m + 8/3 + 4*m**2.
-2*(m - 4)*(m - 1)**2/3
Find t, given that -16/17*t**3 + 10/17*t**4 - 2/17*t**5 + 0*t + 8/17*t**2 + 0 = 0.
0, 1, 2
Let k(f) be the first derivative of -15 + 1/10*f**5 - f**2 + 1/12*f**4 - 2/3*f - 1/2*f**3. Solve k(a) = 0 for a.
-1, -2/3, 2
Let r be ((-22)/(-165))/(40/90). Let 0*b - r*b**3 - 1/10*b**4 + 0 + 0*b**2 = 0. What is b?
-3, 0
Determine b, given that 3*b - 25*b**3 + 22*b + 19*b**2 + 5*b**4 - 46 - 4*b**2 + 26 = 0.
-1, 1, 4
Let a(i) be the first derivative of -2*i**5/25 - 3*i**4/10 + 16*i**3/5 - 28*i**2/5 - 860. Let a(u) = 0. Calculate u.
-7, 0, 2
Let v(j) be the first derivative of j**5/5 - 7*j**4/4 + 5*j**3/3 + 7*j**2/2 - 6*j - 17. Solve v(p) = 0 for p.
-1, 1, 6
Let c = -1425 - -9977/7. Determine w so that -c*w**2 + 2/7*w**3 - 2/7*w**5 + 2/7*w**4 + 0 + 0*w = 0.
-1, 0, 1
Let i(j) be the first derivative of j**6/6 - 31*j**4/4 - 10*j**3 - 163. Factor i(l).
l**2*(l - 6)*(l + 1)*(l + 5)
Let d(k) = -39*k**2 - 35*k + 4. Let x(w) = 20*w**2 + 18*w - 2. Let a be (-9)/(315/(-10)) - (-37)/(-7). Let q(u) = a*x(u) - 3*d(u). Factor q(c).
(c + 1)*(17*c - 2)
Let s(p) be the second derivative of p**4/9 + 44*p**3/27 - 32*p**2/9 + 36*p + 2. Let s(t) = 0. What is t?
-8, 2/3
What is q in 1/2*q**2 - 3/2*q - 5 = 0?
-2, 5
Suppose -2*o + 21 = -5*v, -6*o + 2*o + v = -15. Let k = o + 1. Let 574*h**k - 145*h + 968*h**3 + 4 - 262*h**2 + 6*h**2 - 490*h**5 + 28 + 17*h = 0. Calculate h.
-1, -2/5, 2/7, 2
Let l be (-1)/(7/14*(-1 + 3)). Let d be 26/40 - ((-10)/25)/l. Let -9/4*w - 2*w**2 - d = 0. What is w?
-1, -1/8
Suppose -20*o + 4*i - 330 = -21*o, 0 = 3*o - 5*i - 990. Let l be -5 - (-212)/44 - (-104)/o. Factor l*f**2 - 2/15 - 2/15*f + 2/15*f**3.
2*(f - 1)*(f + 1)**2/15
Suppose -68*u + 735 = 16*u + 63*u. Factor 0 + 1/6*t**u - 2/3*t**4 + 1/6*t - 2/3*t**2 + t**3.
t*(t - 1)**4/6
Let s(k) = k. Let j(b) = 65025*b**2 + 1015*b + 4. Let o(y) = 2*j(y) + 10*s(y). Factor o(x).
2*(255*x + 2)**2
Find w such that -12*w**2 + 4*w**2 + 0*w**3 - 24*w + 4*w**2 - 2*w**4 - 2*w**4 + 16*w**3 = 0.
-1, 0, 2, 3
Suppose -4*i - 6 = -14. Find o such that 1006*o + 8 + 0*o**i - 1002*o - o**2 - 3*o**2 = 0.
-1, 2
Find m such that 62/7*m - 20/7 - 30/7*m**2 = 0.
2/5, 5/3
Let j be (0/(-4))/(23/23). Let d(g) be the second derivative of -1/15*g**6 + 5/6*g**4 - g**3 - 1/10*g**5 + 0 + 6*g + j*g**2. Factor d(h).
-2*h*(h - 1)**2*(h + 3)
Suppose 117*w**3 - 61*w**3 - 89*w**2 + 94*w + 12 - 2*w**2 - 44*w**2 - 27*w**2 = 0. What is w?
-3/28, 1, 2
Let h(k) be the second derivative of -k**6/180 - 67*k**5/120 - 385*k**4/24 - 121*k**3/4 + k + 70. Factor h(c).
-c*(c + 1)*(c + 33)**2/6
Suppose 3*v + 3*u - 3 = 0, -4*v + v + 17 = -4*u. Suppose 3*q - 12 = 4*y, q = 6*q + y + v. Factor -1/2*h**4 + q*h + 0*h**3 + 0 + 1/2*h**2.
-h**2*(h - 1)*(h + 1)/2
Let 2/15*v**4 - 22/15*v**3 - 48/5 + 8*v + 44/15*v**2 = 0. Calculate v.
-2, 1, 6
Let i(o) be the second derivative of -6*o**6/35 - 6*o**5/7 - 16*o**4/21 + 20*o**3/7 + 50*o**2/7 - 68*o. Determine g, given that i(g) = 0.
-5/3, -1, 1
Let i = 248 + -172. Let l be i/16 - 3/(-6). Factor 15/4*m**2 - 3/4*m**3 - l*m + 9/4.
-3*(m - 3)*(m - 1)**2/4
Let b(c) be the third derivative of -1/2*c**4 - 1/20*c**6 - 1/210*c**7 + 0*c + 0 - 2*c**2 - 13/60*c**5 - 2/3*c**3. Factor b(y).
-(y + 1)**2*(y + 2)**2
Let t(x) = 8*x**2 - 48*x - 194. Let f(d) = -3*d**2 - 2*d - 1. Let w(j) = f(j) + t(j). Find i, given that w(i) = 0.
-3, 13
Suppose 7*q - 11*q + 8 = 0. Suppose -q = 2*x - 2. Suppose 0*y - 2/5*y**2 + 1/5*y**5 - 3/5*y**3 + 0 + x*y**4 = 0. Calculate y.
-1, 0, 2
Let h(k) be the first derivative of -k**6/18 - 13*k**5/30 + k**4 - 19*k**3/3 + 7. Let n(v) be the third derivative of h(v). Find s such that n(s) = 0.
-3, 2/5
Let r(g) = g + 2 - 4*g - 1 + 2*g. Suppose 2*c - 4 = 6*c. Let u(w) = -w**2 - 4*w + 3. Let x(t) = c*u(t) + 3*r(t). Determine a, given that x(a) = 0.
-1, 0
Let d(w) be the first derivative of 5*w**3/2 - 51*w**2/4 - 81*w - 408. Factor d(x).
3*(x + 2)*(5*x - 27)/2
Let x(j) = -550*j - 11547. Let q be x(-21). What is y in -9/4*y**2 + 0*y + 0 - 3/4*y**4 - 3*y**q = 0?
-3, -1, 0
Let i(r) = -r**3 - 166*r**2 - 127*r - 14. Let h(f) = f**3 + 81*f**2 + 63*f + 7. Let v(x) = 13*h(x) + 6*i(x). Factor v(d).
(d + 1)*(d + 7)*(7*d + 1)
Suppose 2*s = -3*h + 25, 5*h + 2 + 3 = 0. Let u be 32/s + (-2)/7. Let -10*k**4 - 40*k + 8*k + 6*k**4 + 8 + 6*k**u - 10*k**4 + 32*k**3 = 0. What is k?
-1, 2/7, 1, 2
Let r(t) be the third derivative of -t**10/453600 - t**9/181440 + 13*t**5/60 - 11*t**2. Let x(q) be the third derivative of r(q). Solve x(j) = 0 for j.
-1, 0
Let k(t) = -t**4 + t**3 - t**2. Let d(b) = b**5 + 2*b**4 - 3*b**3 + 2*b**2. Let w(y) = d(y) + 2*k(y). Determine u, given that w(u) = 0.
-1, 0, 1
Let f(t) be the second derivative of 1/294*t**7 + 8/7*t**2 - 1/12*t**4 + 23/140*t**5 - 3/70*t**6 - 4/7*t**3 + 2*t + 0. Suppose f(k) = 0. Calculate k.
-1, 1, 4
Factor 119*p**2 + 4*p**3 - 16*p + 16 - 243*p**2 + 120*p**2.
4*(p - 2)*(p - 1)*(p + 2)
Let w(c) = -3*c - c - 3*c**2 + 10 - 9*c**2 - c. Let i(x) = 11*x**2 + 5*x - 10. Let k(u) = 7*i(u) + 6*w(u). Factor k(r).
5*(r - 1)*(r + 2)
Let r(m) be the second derivative of 45/2*m**2 - 2 + 1/4*m**5 - 6*m + 5/2*m**3 - 25/12*m**4. Solve r(b) = 0 for b.
-1, 3
Let r = 22/19 + -116/133. Solve -r*q**4 + 2/7*q**3 + 0*q + 0*q**2 + 0 = 0 for q.
0, 1
Factor 190/11*c + 92/11*c**2 + 96/11 - 2/11*c**3.
-2*(c - 48)*(c + 1)**2/11
Suppose 0*n - 2*r = -5*n + 18, -2*n - 3*r = -11. Factor 2*s**5 + 3*s**3 - s**5 - n*s**3.
s**3*(s - 1)*(s + 1)
Let f = -14734 + 14734. Factor -1/2*q - 5/4*q**2 - 1/4*q**4 - q**3 + f.
-q*(q + 1)**2*(q + 2)/4
Let h be ((96/(-9))/8)/(2/6). Let t = 9/2 + h. Factor 0 + 1/2*w + t*w**2.
w*(w + 1)/2
Let b(u) = 4*u**2 - 5*u - 6. Let c be (4/2)/(1*6/(-3)). Let p be b(c). Factor 2/5*f**2 - 2/5*f**p + 0*f + 0.
-2*f**2*(f - 1)/5
Let b(z) = -z**2 + z - 1. Let g(a) = -4*a + 37. Let x be g(8). Let i(y) = 2*y**2 + 9*y + 26. Let v(p) = x*i(p) + 5*b(p). Determine n so that v(n) = 0.
-5
Let v(n) = 7*n + 135. Let k be v(-19). Determine g, given that 0 - 1/8*g + 1/8*g**4 - 3/8*g**3 + 3/8*g**k = 0.
0, 1
Let w(c) be the second derivative of -c**6/120 + 13*c**4/48 + c**3/2 - c + 9. Find v, given that w(v) = 0.
-3, -1, 0, 4
Let c(i) be the second derivative of -1/294*i**7 + 0 + 6*i - 2/7*i**2 + 1/12*i**4 + 0*i**3 - 1/70*i**6 + 1/140*i**5. Let c(m) = 0. What is m?
-2, -1, 1
Suppose 5*g**4 + 4*g**4 + 127*g*
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{
"pile_set_name": "DM Mathematics"
}
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+ 1
Let m(n) = 1. Let q(l) = 0*l - 1 - 1 + l + 1. Determine 3*m(d) + 3*q(d).
3*d
Let h = -2 - -7. Let s(j) be the first derivative of -j**4/2 - 4*j**3/3 - 5*j**2/2 + 2*j - 10. Let d(n) = -3*n**3 - 5*n**2 - 6*n + 2. What is h*s(o) - 4*d(o)?
2*o**3 - o + 2
Let a(i) = 2*i**3 + 4*i**2 - 1. Let l(k) = -5*k**3 - 11*k**2 + 2. Calculate 8*a(v) + 3*l(v).
v**3 - v**2 - 2
Let z = 212 + -213. Let w(i) = -i**2 - 1. Let m(d) = d**3 - 3*d**2 - 3. Suppose -5*t - c + 19 = 1, -3 = -4*t + 3*c. Determine t*w(x) + z*m(x).
-x**3
Let y(m) = 6*m**2 - 6*m - 1. Let j(w) = -5*w**2 + 6*w + 1. Give 5*j(i) + 4*y(i).
-i**2 + 6*i + 1
Let z be (-50)/(-6) - (-4)/6. Let t(s) = 4*s**2 - z*s - 9 + 1 + 1. Let x(n) = -2*n**2 + 4*n + 3. Suppose 2*g = 4*g + 6. What is g*t(c) - 7*x(c)?
2*c**2 - c
Let p(h) = 2*h - 5 + 6*h - 3*h. Let w = 3 - 0. Let v(y) = -21 + 9 - y + 3*y + 10. Give w*p(a) - 8*v(a).
-a + 1
Let q(r) = -21*r**3 - 5*r. Let z(d) = 442*d**3 + 104*d. Determine 104*q(u) + 5*z(u).
26*u**3
Suppose -t - 1 = 4. Let z be (((-42)/(-14))/(5 - 2))/1. Let o(l) = -l**2 + l + 1. Let m(y) = -3*y**3 - 5*y**2 + 5*y + 5. Calculate t*o(n) + z*m(n).
-3*n**3
Let y(d) = d**2 + 9*d - 2. Let l(t) = 1 - 5*t + 0*t + t. Determine -5*l(i) - 2*y(i).
-2*i**2 + 2*i - 1
Let i(w) = -16*w - 15. Let s(q) = 9*q - 33. Let b(k) = 2*k - 8. Let l(g) = 21*b(g) - 5*s(g). Give -2*i(h) + 11*l(h).
-h - 3
Let c(i) = 12*i + 5*i**2 + i + 2*i - 3 - 11*i. Let q(u) = -14*u**2 - 11*u + 9. Give 11*c(j) + 4*q(j).
-j**2 + 3
Let m(s) = s**3 + 5. Let a(t) = 4. Determine 5*a(n) - 4*m(n).
-4*n**3
Let w(n) = n**2 - n - 1. Let v(s) = 4*s**2 - 6*s - 5. Suppose -31*t = -34*t - 9. Calculate t*w(f) + v(f).
f**2 - 3*f - 2
Let s be (2 + 0)*11/2. Let b(n) = -10*n**2 - 6*n. Let q(z) = 2*z**2 + z. Suppose -5 = -4*r + 3. Calculate r*b(p) + s*q(p).
2*p**2 - p
Let h(z) = 2*z**2 + 4. Let s(x) = -5*x**2 - 7. What is 13*h(i) + 6*s(i)?
-4*i**2 + 10
Let r(a) = -2*a**3 - 12*a**2 - 8*a - 11. Let m(s) = s**3 + 8*s**2 + 5*s + 7. What is 8*m(l) + 5*r(l)?
-2*l**3 + 4*l**2 + 1
Let i(m) = -m + 1. Let v(f) = 16*f**2 + 12*f - 12. Determine 12*i(p) + v(p).
16*p**2
Let c(q) be the third derivative of q**6/120 - q**5/60 - q**4/24 + 15*q**2. Let n(t) = -4*t**3 + 3*t**2 + 3*t + 2. Give 3*c(a) + n(a).
-a**3 + 2
Let m(s) be the third derivative of -s**5/30 - s**4/6 + 2*s**3/3 + 3*s**2 + 2. Let c(g) = -5*g**2 - 7*g + 7. Calculate -4*c(w) + 7*m(w).
6*w**2
Let t(s) = s - 1. Let l(o) be the second derivative of o**4/4 - 7*o**3/6 + 2*o**2 - 41*o. What is -l(p) - 5*t(p)?
-3*p**2 + 2*p + 1
Let h(o) = 1. Let n(p) = -p + 8. Let a(f) = -3*f + 7. Let v(t) = 2*t - 5. Let k(r) = -5*a(r) - 7*v(r). Let s(j) = -2*k(j) - n(j). What is -6*h(g) - s(g)?
g + 2
Let w(i) = 7*i - 9. Let h(g) = 4*g - 1. Let q(d) = 4*d - 2. Let r(b) = -3*h(b) + 4*q(b). Give 5*r(m) - 3*w(m).
-m + 2
Let s(v) = -2*v**3 + 4*v**2 + 2*v - 3. Let z(f) = 3*f**3 - 5*f**2 - 2*f + 4. Let h(y) = 3*y - 10. Let o be h(5). Determine o*s(x) + 4*z(x).
2*x**3 + 2*x + 1
Let t = -7 + 2. Let j(w) = -5*w**2 - 6*w. Let o(d) = 4*d**2 + 5*d. Give t*j(r) - 6*o(r).
r**2
Let i(t) = 6*t. Suppose 0 = q - 3*q. Suppose 3*r - 6 + q = 0. Let l(m) = r*m - 3*m + 2*m. What is i(d) - 4*l(d)?
2*d
Let n(d) be the third derivative of d**6/30 + d**5/15 + d**4/6 - 5*d**3/6 + 5*d**2. Let v(l) = 4*l**3 + 3*l**2 + 3*l - 4. Give -3*n(x) + 4*v(x).
4*x**3 - 1
Let f(i) = 7*i**2 + 6*i. Let s(t) = -8*t**2 - 7*t. Let g be (((-6)/(-5))/(-1)*-5)/(-1). Let p = 10 + -21. Let a = 4 + p. Calculate a*f(h) + g*s(h).
-h**2
Let s(r) = 4*r**2 - 4*r + 1. Let u(t) = 7*t**2 - 7*t + 2. Let m(c) = -7*c - 1. Let p be m(1). Let x = p - 2. Calculate x*s(h) + 6*u(h).
2*h**2 - 2*h + 2
Let z(b) = 8*b**3 - b - 1. Let x be z(-1). Let f(n) = 1. Let p(s) = -2*s - 10. What is x*f(i) - p(i)?
2*i + 2
Let r(t) = -3*t - 8. Let i(k) = 1. Let h(f) = -4*i(f) - r(f). Let b(n) = -9*n - 11. Determine 3*b(x) + 8*h(x).
-3*x - 1
Let v(c) = 3*c**2 + 2*c - 2. Suppose 4*q = 5*q + 4*b + 25, -4*b - 34 = 2*q. Let t(h) = -13*h**2 - 9*h + 9. Give q*v(l) - 2*t(l).
-l**2
Let o(x) = 7*x - 3. Let k(h) be the second derivative of 13*h**3/6 - 5*h**2/2 - 3*h + 9. What is 3*k(n) - 5*o(n)?
4*n
Let q(v) = -9*v**3 - 11*v - 5. Let w(c) = -4*c**3 - 6*c - 2. Determine -2*q(k) + 5*w(k).
-2*k**3 - 8*k
Let r(w) = 7*w - 15. Suppose -2*j - j - 3*a + 9 = 0, -3*j = -2*a + 6. Suppose 5*m - m - 24 = j. Let g(d) = 2*d + 6*d - 4*d - 8. Calculate m*r(u) - 11*g(u).
-2*u - 2
Let t(g) = 4*g**3 - 9*g**2 + 9*g + 5. Let w(f) = -2*f**3 + 4*f**2 - 4*f - 2. Suppose -p + 1 = -1. Let y(s) = s**2 - s - 1. Let l be y(-2). Give l*w(d) + p*t(d).
-2*d**3 + 2*d**2 - 2*d
Let q(j) = -4 + j**3 - 4*j**2 + j - 3*j**3 + 1 - 2*j. Let b(w) = 0*w + 4 + 56*w**2 + 2*w**3 - 51*w**2 + w. What is -3*b(i) - 4*q(i)?
2*i**3 + i**2 + i
Let f(v) = 5*v**3 + 2*v**2 + 2*v + 7. Let w(p) = 3*p**3 + p**2 + p + 3. What is -3*f(d) + 7*w(d)?
6*d**3 + d**2 + d
Suppose -4*y = -2*y + 2. Let i(j) = 3 + 0*j + 6*j - j - 4*j. Let o(d) = 1. What is y*i(l) + 3*o(l)?
-l
Let u(n) = n - 6. Let c(s) = -s + 3. Calculate -7*c(z) - 3*u(z).
4*z - 3
Let t(g) = g**2 + 0 - 5 - 8*g + g + 5*g. Let w(o) = 2*o + 4. Determine 2*t(h) + 3*w(h).
2*h**2 + 2*h + 2
Let z(g) = 45*g**3 - 2*g**2 - 2*g + 5. Let t(m) = 22*m**3 - m**2 - m + 2. Determine -5*t(l) + 2*z(l).
-20*l**3 + l**2 + l
Let o(z) = 7*z**2 - 11*z - 6. Let a(c) = -c**2 + 1. Calculate 6*a(x) + o(x).
x**2 - 11*x
Let t(v) = 3*v**2 - 4*v + 10. Let r(m) = m**2 - 2*m + 5. Determine -7*r(s) + 3*t(s).
2*s**2 + 2*s - 5
Let a(w) = w**2 - w - 1. Let j(n) = -10*n**2 + 6*n + 6. Let s(g) = 2*g + 3. Let x be s(-2). What is x*j(b) - 6*a(b)?
4*b**2
Let q(g) = 7*g**2 - 6*g + 6. Let a(i) = -6*i**2 + 5*i - 5. What is 6*a(n) + 5*q(n)?
-n**2
Let q(o) = 2 - 6 - 6*o**2 + 3*o**3 - 2*o**2 + 4*o**2. Let w(n) = -3*n**3 + 5*n**2 + 5. What is 5*q(t) + 4*w(t)?
3*t**3
Let x(l) = 1 - 4 + 0*l + l. Let n(t) = t - 2. What is 3*n(a) - 2*x(a)?
a
Let c(o) = 6*o + 7. Let p(v) = 9*v + 10. Give -7*c(r) + 5*p(r).
3*r + 1
Let v(h) = 2 + 2 - 5. Let k(a) be the third derivative of -1/3*a**3 + 0*a + 0 - 8*a**2 + 1/24*a**4. What is k(j) - 3*v(j)?
j + 1
Let b(l) = 4*l - 1. Let u(n) = 8*n - 3. Give -9*b(t) + 4*u(t).
-4*t - 3
Let r(h) = h**3 + 2*h**2 - 5*h. Let a(j) = j**3 + j**2 - 4*j. Calculate -4*a(y) + 3*r(y).
-y**3 + 2*y**2 + y
Let f(n) = 10*n - 5. Let t(m) = -9*m + 4. What is -4*f(h) - 5*t(h)?
5*h
Let c(g) be the second derivative of g**4/12 - g**2/2 + 13*g. Let m(a) = -8*a**2 + a + 4. Give 6*c(y) + m(y).
-2*y**2 + y - 2
Let u(t) = t**3 - 3*t + 2. Let f = -13 - -6. Let x(b) = 4*b**3 - 14*b + 7. Let p(r) = -r. Let z(y) = -4*p(y) + x(y). What is f*u(i) + 2*z(i)?
i**3 + i
Let a(d) be the third derivative of -d**5/10 + 2*d**3/3 - 34*d**2. Let p(y) = 5*y**2 - 3. Give -4*a(n) - 5*p(n).
-n**2 - 1
Let d(b) = -5*b - 4. Let v(y) be the second derivative of -5/2*y**2 - y**3 + 0 + 2*y. Calculate -5*d(m) + 4*v(m).
m
Let u(z) = -3*z - 8 + 3*z - z. Let q(n) = n + 9. Let o(g) = 8*g + 3. Let t be o(5). Suppose 3*r - t = 4*k, -k + 0*r - r = 2. What is k*u(w) - 6*q(w)?
w + 2
Let z(c) = c + 2. Let i(y) = -y - 2 - y + y. Suppose -2*m + 6 = 0, 6 + 14 = 4*b + 4*m. Determine b*i(k) + 3*z(k).
k + 2
Suppose 2*c = -2*c + 2*b + 34, 0 = 3*c - 2*b - 28. Let v(s) = -s**3 + 2*s**2 - 2. Let l(x) = -7*x**3 + 13*x**2 - 13. Calculate c*l(f) - 39*v(f).
-3*f**3
Let p(m) = -6*m**3 - 5*m**2 - 5*m. Let d(f) = 7*f**3 + 6*f**2 + 6*f. What is -5*d(t) - 6*p(t)?
t**3
Let n(j) = -9*j**3 - 15*j**2 - 17*j - 6. Let h(w) = -4*w**3 - 7*w**2 - 8*w - 3. Calculate -13*h(u) + 6*n(u).
-2*u**3 + u**2 + 2*u + 3
Let n(m) = -m**2 - m + 1. Let h(q) = 5*q**2 + 7*q - 7. What is 5*h(y) + 35*n(y)?
-10*y**2
Let j be (-1)/(15/84) - (-18)/30. Let h(l) = -3*l**3 - 7*l**2 + 5*l - 5. Let x(d) = -d**3 - 3*d**2 + 2*d - 2. Give j*x(a) + 2*h(a).
-a**3 + a**2
Let r(q) = q**3 + q**2 - 1. Let d = -8 + 3. Let z(g) = -6*g**3 - 4*g**2 + 5. Calculate d*r(l) - z(l).
l**3 - l**2
Let f(z) = 4*z**2 + 1. Let y(w) = 21*w**2 + 6. Let s = 3 - 5. Let o(x) = -x + 3. Let p be o(-8). What is p*f(n) + s*y(n)?
2*n**2 - 1
Let i = -40 - -60. Let m = -9 + i. Let h(l) = l + 4. Let q(d) = 3*d + 21. Let j(k) = -2*k - 21. Let s(a) = 2*j(a) + 3*q(a). Determine m*h(g) - 2*s(g).
g + 2
Let g(q) = -q**3 - q**2. Let j(f) be the second derivative of -f**3/6 + 7*f**2/2 - 6*f. Let y be j(8). Le
|
{
"pile_set_name": "DM Mathematics"
}
|
a factor of l?
True
Let f(v) = v**3 - 4*v**2 + 4*v + 2. Let o be (-1 + 1)*1/(-2). Let n be 0 + (-3 + o - -7). Is f(n) a multiple of 5?
False
Suppose k = 4*j - 11, -12 = k + k - 3*j. Let i be ((-2)/3 + 1)*k. Is 15 a factor of -3*(-4 - (i - -18))?
False
Suppose -z + 1 = 0, 4*c = 2*z - z - 1. Suppose -5*t + 7*u - 4*u = -11, c = -3*t + 4*u. Does 4 divide t?
True
Let o(f) = -f**3 + 4*f**2 + 12*f + 2. Let h be o(6). Suppose -5*r = 5*l - 130, -5*l = -h*r - r + 70. Is r a multiple of 5?
True
Is 10 a factor of 27900/126 - (-5)/(35/4)?
False
Suppose 3*u + u - 4 = 0, -3*i + 145 = u. Suppose 42*q - i*q = -204. Does 5 divide q?
False
Let b = -12 + 20. Let t(o) = 7 - 2 + b*o - 9*o. Is t(-5) a multiple of 10?
True
Let j(z) = -z**3 + 14*z**2 - 19*z - 27. Is j(12) a multiple of 3?
True
Suppose -t = -3*t + 1094. Suppose 127 - t = -5*j. Is 12 a factor of j?
True
Suppose m - 867 = -4*k, -4*k + 0*m + 858 = -2*m. Does 9 divide k?
True
Suppose -c = -4*c - 945. Is (-8)/(-3)*(c/(-4) + 6) a multiple of 13?
False
Let i be ((-2)/2)/(4/(-16)). Suppose 0 = -3*s + i*h + 22, -16 = -4*s - 0*h + 2*h. Suppose 87 = 2*g - u, -2*g + 0*g - s*u + 90 = 0. Is g a multiple of 11?
True
Suppose -6310 = -18*u + 5192. Is u a multiple of 67?
False
Suppose 6*l - 4*l - 24 = 0. Suppose l*b - 900 = 96. Is b a multiple of 23?
False
Let k = 1164 + -644. Does 20 divide k?
True
Let k(c) = 62*c - 42. Let r = 147 - 140. Is k(r) a multiple of 56?
True
Let b = 5 - -1. Let a be (-42)/(-30) - b/(-10). Suppose 0 = -5*l - k + 182, -k + 2*k + 77 = a*l. Is 15 a factor of l?
False
Let y = 58 + -96. Let u(b) = 6*b**3 + b**2 + 5*b - 3. Let m be u(2). Let g = m + y. Does 7 divide g?
True
Let v(q) be the second derivative of q**7/2520 + 11*q**6/720 + q**4/3 - 9*q. Let z(w) be the third derivative of v(w). Is 29 a factor of z(-14)?
False
Let x = -33 + 95. Is x even?
True
Is (2 - 12/5) + 9060/25 a multiple of 11?
False
Suppose 10*t - 18414 = -52*t. Is t a multiple of 28?
False
Let b(l) = -3*l**3 + 5*l**2 + 6*l + 13. Is 11 a factor of b(-3)?
True
Let f be (-354)/(-30) - (-2)/10. Let z = -10 + f. Suppose 2*h = 3*y - 142, -z*y - 3*h - 45 = -3*y. Does 16 divide y?
True
Let y(x) be the second derivative of 7*x**5/120 - 5*x**4/12 + 5*x**3/6 + 2*x. Let i(a) be the second derivative of y(a). Is i(3) a multiple of 3?
False
Let z = -4 + 5. Let o be -26 - z - (-18)/9. Let k = o - -69. Is 14 a factor of k?
False
Let x(b) be the first derivative of 20*b**3/3 - 2*b**2 - 10*b - 13. Let y be x(-5). Suppose -26 = -n + 3*h + 84, 2*h - y = -4*n. Is n a multiple of 28?
False
Let v(s) = -2*s**2 + 3*s - 2. Let b be v(1). Let j be b/1*15*1. Is 3 a factor of (j/(-2))/(2/4)?
True
Let q(u) = -21*u + 5. Let j = 15 - 8. Let o(w) = -10*w + 3. Let k(p) = j*o(p) - 4*q(p). Is k(2) a multiple of 21?
False
Let s(f) be the first derivative of 43*f**2/2 - 12*f + 48. Is 16 a factor of s(4)?
True
Let j = -12 - -15. Suppose -4*i + j = -29. Let t = 15 - i. Is t a multiple of 3?
False
Let n = -12 - 5. Let d = n - -80. Is 6 a factor of d?
False
Let k(c) = c**3 + 7*c**2 - 2*c - 6. Let h be k(-7). Let y(f) = -3 + h*f - 16 + 4 - 3*f. Is y(15) a multiple of 8?
False
Let u(m) = m**3 + 13*m**2 + 10*m + 3. Let b be u(-11). Suppose 55 = 2*r - 2*x - x, 5*x = 5*r - b. Does 26 divide r?
True
Let t be 39/(-2)*12/(-4 - 2). Let x = t - 22. Does 4 divide x?
False
Let r be (2/4)/1*(6 - 2). Let s(x) = -x**2 - 2 + 0 + 3*x + 9*x**2. Is 9 a factor of s(r)?
True
Let r = 121 + -114. Suppose 5*h = r*h - 504. Is h a multiple of 36?
True
Suppose 1838*y + 672 = 1844*y. Does 15 divide y?
False
Let i = -69 - -39. Let b = i + 74. Is b a multiple of 4?
True
Let o(p) = 14*p**2 - p + 3. Let t(h) = 14*h**2 - h + 4. Let l(v) = -6*o(v) + 7*t(v). Does 32 divide l(2)?
True
Does 96 divide 5/(30/2879) - 4/(-24)?
True
Suppose 0 = 13*h + 3*h - 6272. Is 28 a factor of h?
True
Let j be (6/8)/((-10)/(-360)). Let a be 140/(-50)*(6 + -1). Let o = a + j. Does 5 divide o?
False
Suppose 82*a + 328 = 84*a - 5*q, 0 = -3*a + 5*q + 487. Is a a multiple of 6?
False
Let n be (-60)/2*12/8. Is (240/n)/((-4)/42) a multiple of 37?
False
Suppose 4*d - 2*d - 105 = -a, -5*d = 20. Suppose w + 2*p - 132 = -9, 0 = -w - 4*p + a. Is w a multiple of 19?
True
Suppose -f + 0*f + 221 = 0. Suppose -3*a + f = -103. Is 9 a factor of a?
True
Let f(p) = -p**3 + 25*p**2 - 17*p - 43. Is 25 a factor of f(24)?
True
Let s(x) be the first derivative of -x**3/3 + 5*x**2/2 + 9*x - 29. Does 3 divide s(5)?
True
Let m = -253 + 418. Is m a multiple of 33?
True
Suppose -3*v + 519 = j - 571, -4393 = -4*j - v. Is j a multiple of 5?
False
Does 47 divide (5 - 11) + 9 + 91?
True
Let h = 2 - -3. Suppose 19*p - 20*p = -244. Suppose -h*f = -p + 69. Does 7 divide f?
True
Let x = -418 - -796. Is x a multiple of 27?
True
Is 12 a factor of (28/(-35))/4 + (-1831)/(-5)?
False
Suppose 2*t = -3*t - 20, 0 = -4*j - 2*t + 8328. Is 53 a factor of j?
False
Suppose 5*n - 28 + 6 = -2*q, q + 5*n = 11. Let h(z) = z**3 - 10*z**2 - 13*z - 2. Let u be h(q). Is ((-23)/3)/(8/u) a multiple of 11?
False
Let r = 15 + -15. Suppose -2*c + 5*c - 42 = r. Does 14 divide c?
True
Let y(g) be the second derivative of -5*g**3/6 + 6*g**2 - 5*g. Is y(-6) a multiple of 14?
True
Let k(y) = 5 - 6*y**3 + 1 + 7*y**3 + 1 - 13*y - 10*y**2. Let r be k(11). Is 16 a factor of 96/r*45/(-6)?
True
Let j = 11 - 7. Suppose -2*p + j = -0*p. Is 8 + -7 - (-68)/p a multiple of 11?
False
Suppose 0*n + 4*n - 12 = 3*v, -3*n - 5*v - 20 = 0. Suppose -6 = -2*m - n*m. Suppose -4*y - m*d = -63, 0*d = -4*y + 2*d + 58. Is 4 a factor of y?
False
Is 53 a factor of ((-4276440)/132)/(-6) - (-18)/(-33)?
False
Let i = -888 + 1225. Does 9 divide i?
False
Let b be 428/12*(10 - 12/3). Suppose 0 = -3*o + 2*o - 5*h + 61, b = 4*o + 5*h. Is o a multiple of 12?
False
Suppose -11*m = 2*i - 6*m - 746, 3*i + 5*m - 1109 = 0. Is i a multiple of 5?
False
Let q be (2 + -2)*(0 + -1). Let r = 12 + q. Is 426/r + (-2)/(-4) a multiple of 18?
True
Let l = 38 + 13. Is l a multiple of 15?
False
Let l = -167 - -33. Let x = l - -218. Is 10 a factor of x?
False
Suppose 4*o - 4*f = 931 + 229, -4*f = 2*o - 604. Is 7 a factor of o?
True
Let l be -18 - 4 - 1 - -3. Let a(b) = -b**3 + 8*b**2 + 10*b - 11. Let i be a(9). Is 13 a factor of ((-510)/l)/(i/(-4))?
False
Suppose 155 = -2*x + v - 4*v, -5*x + 3*v - 440 = 0. Let f = 61 + x. Is 19 a factor of (f/5)/(5/(-75))?
False
Suppose 203 - 1316 = -q + 4*s, 5*s = -10. Does 13 divide q?
True
Suppose -g = x - 27, 0 = 2*g - 4*g - x + 59. Suppose -h = h - g. Does 4 divide 236/h + 6/(-8)?
False
Let g = 49 - 32. Suppose b - 129 = -g. Suppose -70 = -3*a - 2*s + 11, 4*s - b = -4*a. Is a a multiple of 9?
False
Let o = 45 - 40. Suppose 0 = v + 4*f - 43, -o*v + 115 = -2*v - 2*f. Is 13 a factor of v?
True
Let m = 36 - 16. Suppose 0 = 3*g + l - 236, -5*g - m + 390 = -3*l. Does 25 divide g?
False
Suppose -i + 353 = r - 1, -2*r - 4*i = -706. Does 9 divide r?
False
Let w(m) = -201*m + 15. Let t(r) = -50*r + 4. Let u(b) = 22*t(b) - 6*w(b). Is 24 a factor of u(1)?
False
Let y(o) = -o**2 - 8*o. Let w be y(-8). Suppose -a + 3*a - 58 = w. Suppose -4*s - a = -v, -3*v - 5*s - 7 = -v. Is 3 a factor of v?
True
Let k be -12*(8/(-6) + 1). Suppose k*i - 10 = 54. Is i a multiple of 8?
True
Let d(u) = 16*u**3 - u**2 + 2*u - 2. Let g be d(2). Suppose 9*p - g = 2*p. Suppose p*r - 208 = 14*r. Is r a multiple of 7?
False
Let w(c) be the first derivative of -1 + 15*c - 1/2*c**2. Is 3 a factor of w(0)?
True
Let c be (360/(-64))/(-15) + 10/16. Let y be (-2)/5 + (-932)/(-5). Is ((y/3)/1)/c a multiple of 8?
False
Suppose 0*t - 2*t + 4*q = -12, 5*q - 20 = 0. Let z = t - 12. Suppose -z*h + h = -23. Is 10 a factor of h?
False
Suppose -2*f + 3712 = 4*o, -5*o + 5564 = -6*f + 9*f. Is 44 a factor of f?
True
Let b = 238 + -83. Is b a multiple of 12?
False
Let a = 112 + -88. Does 3 divide a?
True
Let h be (2 + 0/(-2))*1. Suppose -h*k + 78 = -k. Is 38 a factor of k?
False
Let k(c) = -5 + 8*c - 3*c**2 + 2*c**2 - c**3 + 0*c**2 + 7*c**2. Let z be (2 + -1)/((-2)/(-10)). Is k(z) a multiple of 33?
False
Is ((-132)/(-55))/((-40)/(-44350)) a multiple of 25?
False
Let s(q) be the first derivative of 15*q**2 - 4*q - 18. Is 33 a factor of s(4)?
False
Suppose 7*a + 104 = 363. Is a even?
False
Let d(q) = -3*q - 3. Let y be d(0). Let t be (0 - (4 + y))*33. Let v = -
|
{
"pile_set_name": "DM Mathematics"
}
|
- u - 5 for o.
1
Let f be (-1)/4 - 17/(-4). Suppose 7*a = f*a. Solve y + a*y + 5*z + 15 = 0, -9 = 3*y + 3*z for y.
0
Suppose 3*l - 8 = -s, 5*s + 5 = l + 3*s. Suppose 3*g + 2*p - 5 = -0, l*p - 5 = -4*g. Solve -2*x - 19 = -g*x - 4*t, 3*x = 4*t + 11 for x.
5
Suppose -3*s - 10 + 19 = 0. Suppose -4*q = -4*b + 140, -2*b - 2*b + 140 = -s*q. Solve -b = 4*p - 5*l, -l - 15 = -6*l for p.
-5
Let m = 54 + -41. Solve -l - m = s + 2*s, l = -s - 5 for l.
-1
Let l = 13 - 9. Suppose -l*o + b = -o - 4, -12 = -4*o - 2*b. Let m be (-32)/12*(-3)/o. Solve 6 = m*k - 2*k - c, 3*k - 3*c = 6 for k.
4
Suppose 5*d = -22 + 127. Solve 0 = 5*b - 0*h + h + d, -3*h - 15 = 3*b for b.
-4
Suppose 0 = -5*a - 42 + 192. Suppose 0*h - a = -5*h. Solve -17 = 3*o + 2*t, 0 = o + 2*t + 17 - h for o.
-3
Suppose 3*a + 0*a = -9. Let p be 3 - (0 + -2 + a). Let y = 6 + -3. Solve 3*t = h - p, 3*t = t + y*h - 17 for t.
-1
Let o(d) = -d**3 - d - 1. Let f(j) = -2*j**3 + 9*j**2 - 7*j - 3. Let p(n) = f(n) - o(n). Let v be p(8). Solve -3*b = 5*l - v, 4*b + 0*l - 14 = -2*l for b.
3
Suppose -3*g - 12 = 0, -4*k + 4 = -5*g - 16. Solve -3*w - 2 = 2*h - 2*w, -h - 2*w + 2 = k for h.
-2
Let y(q) = 5*q**2 + 7*q - 2. Let r(p) = -9*p**2 - 14*p + 4. Let m(h) = 4*r(h) + 7*y(h). Let z be m(-7). Solve 0*o + 4*o + 16 = 0, 4*o + 14 = z*d for d.
-1
Let q = -7 - -12. Suppose -q*j + 14 = -1. Solve 0 = -h - 3*v + 9, -4*v + 4 = j*h + h for h.
-3
Let g be 9/2*(1 + -3). Let a = 14 + g. Suppose 1 = 2*q - 5, 0 = -2*r - a*q + 15. Solve 4*w - i - 14 = r, -3*i + 3 - 9 = -3*w for w.
4
Suppose -2*b = 4*a - 96, 4*b - 2*a - 2*a - 180 = 0. Let p = b - 28. Let o = p - 13. Solve 3*h + 8 = -h - 5*i, -10 = o*h + 5*i for h.
-2
Let u be 2*9/6 + -1. Suppose -x + 9 = u. Solve -2*n = 4*i - 4*n, x = -5*i - n for i.
-1
Suppose -7 = -2*n + 15. Let m(d) = 4*d + d**2 - 4 + 5 - 1. Let t be m(-4). Solve t = 4*p + 3*j + 3 - n, -3*p + 3 = 3*j for p.
5
Let b(g) = -g**3 + 5*g**2 + 9*g - 7. Let y be b(6). Let i = -17 + y. Let t = -4 - i. Solve 22 = 5*a - 3*j, -t*a = -3*a + j + 4 for a.
5
Let r(t) = 2*t + 24. Let b be r(-5). Solve -5*i - b = d, -3*i - 13 = 2*i + 2*d for i.
-3
Let a(d) = d**3 - 7*d**2 - d + 6. Let r be a(7). Let s = r + 1. Solve -t - 2*k + 8 = 0, -5*t = -s*t - 4*k + 16 for t.
0
Let f(r) = r + 10. Suppose 0 = -0*h + 2*h + 16. Let a be f(h). Solve 0 = -4*v + w - 7, -1 = -4*v - w - a for v.
-1
Let q be 7*(4/14)/1. Let y = -1 + -2. Let x be 16/(-12)*y/q. Solve x*b - 10 = -4*f - 0*f, 5 = b + 5*f for b.
5
Let h be (-4*1)/((-1)/(-2)). Let l be (-18)/h - 1/4. Suppose -4*m + 4 = 2*x, 0*m + 8 = m - 3*x. Solve -p - 1 = -2*p - l*g, -m*g - 4 = 0 for p.
5
Let r(h) = -h + 11. Let v be -15 + 13 - 4*-2. Let q be r(v). Solve q*z = 4*n + 16, -n + z + 17 = 5*z for n.
1
Suppose 3*t - 15 = -0*t. Let o = 6 - t. Let s = 2 + 0. Solve 3*r - 3 = -g + o, -s*g - 4*r = -4 for g.
-2
Let g = 13 + -9. Suppose -g*r + 14 + 12 = -z, -3 = -r + 2*z. Solve -3*k - 3*x + 3 = 0, -r = -4*k - x - 2*x for k.
4
Suppose -o = -2*u - 10, -2*u + 98 = 3*o + 2*o. Solve 2*t - 5*g - o = 0, 5*t + g + 7 = 2*t for t.
-1
Suppose 3*t - 3*v = 9, 2*t + 3*v = 7*t - 9. Suppose t = 3*x - x. Suppose -k + 4*b + 2 = 5*b, x = -2*b. Solve 5*o = -5*m + 25, 7*o - k*o = 3*m - 15 for m.
5
Let t be 3 + ((-29)/(-1) - -2). Let k be 9/12 - t/(-8). Let f(w) = 2*w**2 - 7*w - 2. Let g be f(k). Solve 5*q - g = 2*s - s, 1 = -s + q for s.
2
Suppose 0*q + 15 = 5*q. Suppose 0*k = -k. Suppose k = -g + q + 2. Solve -15 = -3*b - t, 2*b + b = -g*t + 15 for b.
5
Let c = 1 + -1. Let k be (-2 - -1) + 0 + 6. Suppose 4*r + r = 75. Solve 0*p + 3*x = 4*p + r, c = -4*p + x - k for p.
0
Suppose -f - 10 = -3*f - 4*s, 13 = 4*f + s. Solve k + i = 2*k - 9, -f*k + 5*i + 35 = 0 for k.
5
Suppose 0 = 6*g - 3*g - 9. Suppose s - 20 = -g*s. Suppose 3*r - 12 = 2*r - 2*w, -3*r = s*w - 33. Solve r = 2*v - o, 0*o = 4*v + o - 12 for v.
3
Let b = -23 - -25. Solve -4*u - 1 = -4*f + 3, 0 = b*f - 5*u - 2 for f.
1
Let h(q) = 3*q**2. Let s = 9 - 8. Let f be h(s). Solve 3*w = -f*k - 0*w + 6, 0 = 4*k - 4*w + 32 for k.
-3
Let z(d) = -d**2 + 2*d + 6. Let v be z(6). Let x = 25 + v. Let o = -4 - -11. Solve -2*t + 2*l - x*l - 11 = 0, 2*t + l = -o for t.
-3
Suppose -2*w = -s - 3*s + 4, -5*w - 4*s + 4 = 0. Solve -5*h = w, -h - 4 = -0*c - 4*c for c.
1
Let h = -11 + 14. Suppose -4*p = -h*p. Solve c + r = 6*c + 20, -3*c - 5*r - 12 = p for c.
-4
Let h = 9 - 1. Let p be 2/((h/(-5))/(-4)). Solve -p*z - 21 = r - 2*r, 5*z = -4*r - 16 for z.
-4
Let k(o) = -o**2 - 6. Let r be k(0). Let z = r - -9. Solve -2 - 2 = -4*u + a, z*u - 5*a - 20 = 0 for u.
0
Let q be (0 + 1)*(19 - -2). Suppose -m + 3 = -2. Let v = -3 + m. Solve 5*i + 20 = -4*n + 2*n, v*i - 5*n = q for i.
-2
Let s = 11 - 8. Suppose -t + 52 = s*t. Suppose t = 2*b - 7. Solve 5*k + 2*l = -2*l + b, 2*l + 4 = 2*k for k.
2
Let q = 50 + -34. Solve -2*v = -2*a + q, 3*v + 27 = -v + 3*a for v.
-3
Let d(k) = k**2 + 8*k - 7. Let j be d(-9). Suppose 3*z + 5*s = 6, 2*s = -z + 7*s + j. Solve 3*q + p - 1 = 0, -q - 2*q + 2 = z*p for q.
0
Suppose -a + 5*z - 4 = 0, -3*a - 2*z - 3*z = -28. Let k(t) = 2*t**2 - 6*t + 9. Let j be k(a). Suppose 0 = -c - 2*c + j. Solve q = 4*y + c, q + y + 11 = 1 for q.
-5
Let g be 2/4*0/2. Solve 0 = -2*w + 8, 3*w = -g*l - l + 10 for l.
-2
Suppose 4*d = -p - 445, 142 = -2*d - 5*p - 67. Let x be (-210)/d + 2/16. Solve 3*v = -0*v + 2*l + 14, 3*l + 8 = -x*v for v.
2
Let d be (-6)/5*15/(-2). Let t = -7 + d. Solve -5*c + z - 13 - 16 = 0, 0 = -3*c + t*z - 23 for c.
-5
Let u(s) = s**3 - 8*s**2 + 7*s + 1. Let y be u(7). Let w be y - -1 - (5 - 3). Solve 0 = -3*t + 5*k + 17, w = t + 5*k + 28 - 7 for t.
-1
Let l(c) = c + 11. Suppose -3 - 9 = 3*s + 3*a, -5*s - 2*a - 32 = 0. Let n be l(s). Solve n*r = t, -4*t = -0*r + 3*r + 15 for t.
-3
Let n be 11 + 12/(-4) - -4. Let s = n - 4. Solve 4*l = 3*u - s*u, 4*l - 5*u = 0 for l.
0
Let r = 12 - 6. Suppose 4*n - 11 = 13. Let c = n - 2. Solve -r = 2*a - 0*a - 4*x, -4*x - c = 0 for a.
-5
Let l = 8 - 4. Solve -2*w + l*q + 16 = 0, -q = 2*w - 0*q + 4 for w.
0
Let s(m) = -4 - 1 - 3*m**3 + 2*m - 8*m**2 - 4*m + 2*m**3. Let n be s(-8). Solve -3*a - 7*v = -3*v + 23, -a - n = 2*v for a.
-1
Let x be 1 + 1 + (-9 - -7). Solve -3*n + 13 = -f, -2*n = 2*f - x*f + 2 for f.
-4
Suppose 0 = q + 4*r + 22, 3 - 8 = r. Suppose 3*g - 3 = 0, -2*p + g = -3*g - 4. Let d be (q + p/5)*-10. Solve -4*a - 3*n - 21 = 0, -d = 3*a + 2*a - n for a.
-3
Suppose w + 2*w = 12. Solve -c = w*c - 2*z - 31, -3*c - 3*z = -6 for c.
5
Suppose -2*g = -14 - 22. Solve -3*r = -3*f - g, -2 = -2*f - 3*r + 1 for f.
-3
Let h(b) = -b**2 + 7*b - 2. Let n be h(6). Suppose 3*p + n = 4*m - 3*m, 4*m + 3*p = 46. Solve 5*s - c + 2*c + 25 = 0, -2*c - m = 0 for s.
-4
Let w be (-9)/2*(3 + -5). Let b = 21 - 30. Let k be 8 + 1/((-3)/b). Solve 0*o - 2*o - 3*t = k, 0 = o + 5*t + w for o.
-4
Let d be -2 + (-5)/(25/(-20)). Solve w + 12 = d*f, 2*w - 23 = -5*f + w for f.
5
Suppose -a + 12 = 2*a, 0 = y - 5*a + 8. Solve 5*v = 5*h - 10, -5*v + 4*h - y = -0*v for v.
-4
Suppose -w - 3*z = 2*w - 36, 5*w - 57 = -2*z. Solve -9 = -4*v + w, 0 = -3*f - v + 20 for f.
5
Let r = 7 - 7. Let f be (-36 - r)*4/(-6). Solve -4*g = 4*j, -3*g + g = -4*j - f for j.
-4
Let i(m) = 2*m + 5*m - 6*m - 2. Let n be i(2). Suppose n*y = -y. Solve -3*j + 4*l + 20 = -y*l, 4*j + 25 = -5*l for j.
0
Suppose -4*i - 4*t + 10 = -18, 4*i + 3*t - 31 = 0. Let c = i - 5. Solve c*m + 1 + 9 = p, 0 = 4*p + 3*m + 6 for p.
0
Let u = 8 - 7. Suppose -26 = 3*y - 122. Let s be (1/(-2))/((-4)/y). Solve s*t - f + 5 = 4*f, 2*t + u = f for t.
0
Let j be ((-5)/(-2))/(((-2)/12)/(-1)). Solve t - 2*b = -0*t + j, 4*t + 2*b - 10 = 0 for t.
5
Let r(a) = a**2 + 6*a + 3. Let w be r(-6). Let y = -7 + 13. Solve -m + w*k = -3, 0 = y*m - m + k - 15 for m.
3
Let a(x) = -x + 9. Let g be a(-8). Solve 3*b + 2*b - 3*q + 30 = 0, -q = -4*b - g for b.
-3
Suppose -2*u + 0*u - 4*b - 4 = 0, 2*u - 4*b = 4. Suppose t = -4*s + 19, u = s - t - 1. Let x = s + 3. Solve 2*k = -2*f + 8, -x = -3*k + 3*f - f for k.
3
Let n(z) = -z**2 - 5*z + 5. Suppose -j = -5 + 3. Suppose -4 = j*k + 4. Let u be n(k). Solve -2*m + 7*m + u = 4*q, 0 = q + 4*m + 24 for q.
-4
Suppose 0 = 3*t + 4*u - 18, 2*t + 4*u = -2*t + 20. Solve -7 = 3*q - 5*w, 8*q - 3*q + 22 = -t*w for q.
-4
Let k be -3*(8/(-6) - 4). Solve -h = -5*p + k, -p + 3*p - 11 = 5*h for p.
3
Let r
|
{
"pile_set_name": "DM Mathematics"
}
|
ate r(y).
2
Let j(a) = a - 6. Suppose -15*x - 5*x = 17440. Let i = x - -877. What is j(i)?
-1
Let h(r) = 7*r**3 - 16*r**2 - 2*r + 11. Let d(t) = 8*t**3 - 15*t**2 + 10. Let a(c) = 5*d(c) - 6*h(c). Give a(11).
-5
Let k(p) = -p**3 + 18*p**2 + 20*p - 9. Let o be (1*57)/((-15)/6 - 220/(-40)). Calculate k(o).
10
Let w(r) = 2*r - 8 + 4*r - 3*r - 2*r. Let c(j) be the third derivative of j**6/60 + 7*j**5/20 - 5*j**4/12 + 17*j**3/6 - 75*j**2. Let a be c(-11). Give w(a).
-2
Let k be (3 - (-55)/(-20))*(-8)/(-2). Let q(r) = 13*r**2 - 18*r + 18. Determine q(k).
13
Let y be 2/13 + 873/2522 - (-2)/(-4). Let w(n) = 2*n**2 - 6*n + 5. Determine w(y).
5
Suppose 1 = u, -5*u = -4*w - 211 + 254. Let p(n) = n**3 - 12*n**2 + n - 9. Calculate p(w).
3
Let u(t) = 31*t - 251. Let i be u(8). Let o(q) = -q**3 - 2*q**2 + 4*q - 7. Determine o(i).
-10
Let j(b) = -10552199*b**3 - 4 + 10552200*b**3 - 5*b - b**2 + 4*b**2. Let s be (-3 - -1)*2/1. What is j(s)?
0
Let f(c) = -c**3 - 31*c**2 - 85*c - 42. Let s be f(-28). Let r(p) = -p**2 - 23*p - 121. What is r(s)?
5
Let s(k) = k**3 + 14*k**2 + 10*k - 11. Let x be s(-13). Let a(b) = 7 + x*b + b**2 - 12*b - 12*b. Calculate a(-4).
7
Let a be 47 - 46 - 8*2/1. Let u(x) = x**3 + 15*x**2 - 4*x - 46. Determine u(a).
14
Let n be -3*18 + 1/(4/(-16)). Let o = -63 - n. Let d(i) = 6 - 51*i**3 - 4*i - 6*i**2 + 26*i**3 + 24*i**3. Give d(o).
1
Let f(l) be the second derivative of l**5/20 + l**4/3 - l**3/2 - 2*l**2 - 828*l. Let n(a) = -a - 4. Let h be n(-2). Let m be 3/6 - (-9)/h. What is f(m)?
8
Let w = 829 + -825. Suppose 0 = w*z - 4*k + 28, 0 = -z + k - 2*k - 3. Let t(a) = a**2 + 2*a - 3. Calculate t(z).
12
Let z = 4 + -4. Suppose 3*x = -2*a - 2 + 16, 4*a - 16 = 0. Let j(p) = 5 + 11*p - 1 - 7*p - 5*p - p**x. What is j(z)?
4
Let n(v) = v**2 - 4*v - 4. Let q = -544 + 278. Let d = 271 + q. What is n(d)?
1
Let p(r) = r**3 - 5*r**2 + 4*r - 3. Let s(g) = -g - 33. Suppose 3*a + 28 + 83 = 0. Let w be s(a). Give p(w).
-3
Let c = 3/1343 - -3969/26860. Let u(w) be the second derivative of c*w**5 + 0*w**3 + 0*w**2 + 0*w**4 + 12*w + 0. Determine u(1).
3
Let p be 4/(((-42)/10 - -4)*-10). Let n(g) = 4*g**p - 118*g**3 + 2*g**2 + g - 3*g**2 + 59*g**3 + 60*g**3. Let b be (-6 - -3)*(1 + 0). Determine n(b).
-3
Let f(l) be the first derivative of -2*l**3/3 + 17*l**2 + 6*l - 59. Let g be f(17). Let r(k) = -k - k**3 + 2 + k + 6*k**2. Give r(g).
2
Let x(q) = -51 - 22 + 32 + 1 - 12*q - q. Calculate x(0).
-40
Let k(i) = 45*i + 218. Let j(o) = 10*o + 165. Let a be j(-17). Determine k(a).
-7
Suppose 4*y = 4*k + 9*y - 15, -k + 5*y - 15 = 0. Let w(s) = -3 - 4*s**3 + 3*s**3 - 36*s**2 + k + 44*s**2. Let f = -13 - -21. Determine w(f).
-3
Let c(r) = -23*r + 296. Let z be c(33). Let d = -468 - z. Let a(s) = -3*s + 2*s**2 - 3*s**2 - 3*s. Give a(d).
5
Let v(p) = 13*p - 28. Let n be (-20 - 150/(-12)) + (-1)/2. Determine v(n).
-132
Let i(b) = 8*b + 2*b + 833644 - 833642. What is i(-13)?
-128
Let u(f) = 22*f - 13. Let j be u(2). Let l be 4/(-3)*186/j. Let y(m) = -m - 9. What is y(l)?
-1
Let d(c) = 0*c**3 - c**3 - 43*c - 11 - 3*c**2 - 14*c + 54*c. Calculate d(-3).
-2
Suppose 4*y - 3*g = 254, 11*g = 5*y + 14*g - 331. Suppose y*h - 81 = 56*h. Let k(f) = f - 3. What is k(h)?
6
Let p(y) = -5*y**2 - y + 4. Let q(a) = 2. Let t(b) = 6*b**2 + b - 16. Let c(d) = 6*q(d) + t(d). Let z(w) = -4*c(w) - 5*p(w). What is z(0)?
-4
Let c(u) = 13*u**2 - 10*u + 245. Let p(s) = 15*s**2 - 11*s + 287. Let a(l) = 7*c(l) - 6*p(l). Calculate a(3).
-10
Let c = -286 - -351. Let y(g) = 1 - 1 - c*g + 72*g. What is y(-2)?
-14
Let p(k) = -k**3 - k**2 + k. Suppose -3714*m = -3713*m - 1. Determine p(m).
-1
Let k(w) = 4955*w**2 + 4943*w**2 - 9904*w**2 - 1 + 9*w. Determine k(2).
-7
Let c(v) = -23*v - 163. Let p(q) = -8*q - 56. Let u(i) = 4*c(i) - 11*p(i). Give u(-18).
36
Let j(f) = 11*f + 141. Let r(b) = -78*b - 976. Let k(s) = -15*j(s) - 2*r(s). What is k(-19)?
8
Let x be 26 - (46 + (-442)/26). Let j(v) be the second derivative of 7*v**3/6 + v**2/2 + 2*v. Determine j(x).
-20
Let k(a) = a + 19. Let p be (10 - 1)/((-18)/12)*-1. Suppose -98 = p*y - 20. What is k(y)?
6
Let o(f) = -f**2 - 12*f - 10. Let s(a) = 2*a**2 + 23*a + 20. Let z(x) = -5*o(x) - 3*s(x). Suppose -5*n + k + 36 = -8*n, -5*k = 4*n + 81. Determine z(n).
-10
Let c be (1 - 2)*5 - 0. Let r(g) be the third derivative of 0 + 0*g - 5/24*g**4 + 0*g**3 - 74*g**2 - 1/60*g**5. Give r(c).
0
Let c(a) = a - 3. Let p(h) = -h**2 - 14*h + 38. Let f be p(-18). Let k = f + 38. Determine c(k).
1
Let w(q) be the first derivative of q**4/4 - 8*q**3/3 - 9*q**2/2 + 5*q - 721. Calculate w(9).
5
Let j(g) = -g - 1. Let a(y) = -y**2 + 9*y - 9. Let s be a(3). Suppose s = -349*p + 352*p. Calculate j(p).
-4
Let y = -37 + 39. Let i(k) = -6 + 1 - y*k - 6 + 0*k. Let o be i(-8). Let g(t) = t**2 - 7*t - 4. What is g(o)?
-14
Let m(t) = -3*t**2 + 8*t + 4. Let v be ((-840)/20 - -54)/((-2)/((-4)/6)). Calculate m(v).
-12
Let b(k) = 3*k**2 + 15*k**3 - 36*k**3 + 20*k**3 + 4*k**2 - 6. Give b(9).
-168
Let b(j) = -18*j - 20. Let x be b(-6). Let t = x + -86. Let f(u) = -2 + 9*u**t - 10 + u**3 + 11 - u. Give f(-9).
8
Suppose -42*v - 2178 = -2430. Let y(z) = -z**3 + 7*z**2 - 7*z. Let m(n) = 1. Let q(g) = 1. Let c(s) = 5*m(s) - 4*q(s). Let j(a) = -6*c(a) - y(a). Give j(v).
0
Let s(o) = -3162 + 1582 + 1587. Let b(k) = 2*k**2 + k + 23. Let m(y) = -b(y) + 3*s(y). Determine m(3).
-23
Let j(d) = -20*d**3 - d**2 - 2*d. Let q be (-81)/54 - (-4)/8. Determine j(q).
21
Let l(q) = 12*q**2 + 2*q - 7. Let c(m) = -17*m**2 - 3*m + 11. Let i(z) = -5*c(z) - 7*l(z). Determine i(-3).
0
Let y(u) be the second derivative of u**5/20 - 17*u**4/12 - 17*u**3/6 - 33*u**2/2 + 598*u. Give y(18).
-15
Let x = 2087 - 2084. Let f(g) be the first derivative of -g**2/2 + 2*g + 22. Give f(x).
-1
Let f(i) = -i**3 - 7*i**2 - 9*i + 1. Suppose 0 = -4*t + 6*w - w - 1, 0 = 2*t - 4*w + 8. Suppose t*p + 83 - 53 = 0. What is f(p)?
-4
Suppose -39*n + 6443 = -22*n. Let r = 382 - n. Let a(j) = j**2 - 4. Give a(r).
5
Let w(l) = 15*l - 63. Let g(u) = -2*u + 9. Let c(m) = -42*g(m) - 6*w(m). Suppose -5 = -x - 4. Determine c(x).
-6
Let m(y) = 45*y**2. Let w be m(1). Suppose -p + 5*o + 29 = 0, 9*p - 5*o = 4*p + w. Let f(z) = -2*z + 1. Determine f(p).
-7
Suppose 71*x + 31*x - 171 = 33. Let r(a) = 9*a**3 + 2*a**2 - 2*a + 3. Calculate r(x).
79
Let k be (-6 + (-402)/(-30) + -7)/((-1)/(-5)). Let y(v) be the first derivative of 31 - k*v - v**2 - 1/3*v**3. Give y(-3).
-5
Let q(i) = 2*i**3 + 14*i**2 - i - 5. Let d be q(-7). Suppose 5*o = d*o + 6. Let c(f) = 565 - 573 + o*f - 3*f. Calculate c(-5).
-3
Let g(n) = -36*n**2 - 25*n - 103. Let i(z) = -43*z**2 - 26*z - 105. Let k(u) = -6*g(u) + 5*i(u). Determine k(-8).
-3
Let k(f) = 4*f**3 - 9*f**2 + 5*f - 5. Suppose 0 = -3*q + 3, 4*q + 16 = -a - 3*a. Let b(z) = 3*z**3 - 8*z**2 + 4*z - 4. Let w(j) = a*b(j) + 4*k(j). Give w(-4).
0
Let w(b) = -b**2 + 2*b - 6. Let h(l) = l**2 - l + 4. Let s(v) = -8*h(v) - 5*w(v). Let y(x) = 2*x**2 - 33*x + 134. Let t be y(8). Determine s(t).
-10
Let y = 353 - 353. Let r(f) = -4*f - 30 - 5*f**2 + f**3 + 3*f + 29 + y*f. Determine r(3).
-22
Let c be (-1)/2 - (-3)/(-2). Let u = 5 - c. Let d(m) = -78*m - 16 - 32*m + 50*m + 3 + 61*m. Calculate d(u).
-6
Let a(z) be the first derivative of -17*z**2/2 - 19*z + 366. What is a(4)?
-87
Let r(d) = -5*d**2 - 10*d - 16. Let a(i) = 37*i - 1186. Let o be a(32). Calculate r(o).
-16
Let o(u) be the third derivative of -u**4/12 - 5*u**3/3 + 231*u**2. Let q = 4 - -1. Suppose q*m - p + 41 = 0, -5*m + 2*p + 3*p - 45 = 0. Determine o(m).
6
Let f(m) = 3*m**2 - 21*m - 7. Let l(q) = 16*q**2 - 106*q - 48. Let j(t) = -11*f(t) + 2*l(t). Give j(15).
41
Let k(s) be the first derivative of s**4/4 - 2*s**3/3 - 2*s**2 + 2*s + 27. Let p be 2 - (2 + 16/(-4)). Let d be 0 + p - (-14 + 15). Determine k(d).
-1
Let f(v) = 40*v + 53. Let b(c) = 241*c + 340. Let o(g) = 2*b(g) - 13*f(g). Determine o(-2).
67
Let p = -34 - -27. Let z = 20 + p. Suppose -9*m + z + 14 = 0. Let d(q) = -q**2 + q + 4. Give d(m).
-2
Let q(g) = 13*g - 96. Let k = -2281 - -2289. What is q(k)?
8
Let z = 1909 - 1342. Let t = z + -569. Let p(l) = 3*l**2 + 4*l + 3. Calculate p(t).
7
Let i = -35252 - -35269. Let y(a) = a**2 - 13*a - 24. Give y(i).
44
Let o(i) = i**3 + i**2 - 6*i - 10. Suppose -156*g = 4*c - 158*g + 4
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{
"pile_set_name": "DM Mathematics"
}
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3*n + 1. Let k(m) = -9*m**3 - 9*m**2 + 5*m + 1. Give x*r(i) + 3*k(i).
-2*i**3 - 2*i**2 - 2
Let t(j) = 10*j - 91. Let y(v) = 2*v + 3. Give t(o) - 4*y(o).
2*o - 103
Let k(j) = 9*j - 10. Let i(p) = -p**2 - 6*p + 12. Let c be i(-7). Suppose -s - 2*h + 4 = 0, 2*h + 21 = c*s - 11. Let w(m) = 4*m - 5. Calculate s*k(y) - 13*w(y).
2*y + 5
Let i(k) = -4*k**2 - 3*k + 2. Let y(q) = 2*q**2 + 3*q - 3. Give 3*i(g) + 2*y(g).
-8*g**2 - 3*g
Let l(g) be the first derivative of 14*g**3/3 + 17*g**2/2 + 4*g + 78. Let u(c) = -5*c**2 - 6*c - 1. Calculate -4*l(a) - 11*u(a).
-a**2 - 2*a - 5
Let g(a) = 30*a**3 + 22*a**2 + 74*a - 8. Let c(w) = 20*w**3 + 14*w**2 + 49*w - 5. Calculate -8*c(q) + 5*g(q).
-10*q**3 - 2*q**2 - 22*q
Let c(p) = -p**2 - 2*p + 3. Let b(k) = k**3 + 18*k**2 - 2*k - 34. Let o be b(-18). Let u(q) = -315*q**2 + 16 + 310*q**o + 0*q - 11*q. Give 11*c(t) - 2*u(t).
-t**2 + 1
Suppose 5*i - i + 7 = 5*s, -12 = 3*i + 3*s. Let h(o) = -3. Let g(a) be the first derivative of a**2/2 + 2*a - 7. Give i*g(c) - 2*h(c).
-3*c
Let i(w) = -11*w - 69. Let f(x) = -5*x - 35. Determine -13*f(d) + 6*i(d).
-d + 41
Let s(h) = 8*h**3 - 9*h**2 + 9*h - 10. Suppose -87 = -9*r + 75. Let k(l) = l**3 - l**2 + l - 1. Determine r*k(j) - 2*s(j).
2*j**3 + 2
Let x(g) = -4*g + 2. Let m(h) = -21*h + 11. Let v = -305 + 303. Let k(z) = -11*z. Let f be k(-1). Determine f*x(l) + v*m(l).
-2*l
Let o(y) = 159*y**2 - 26*y. Let q(f) = 32*f**2 - 5*f. Calculate 2*o(d) - 11*q(d).
-34*d**2 + 3*d
Let k(f) = -f**2 - 2*f + 2. Let o(b) = 896*b**2 + 1344*b - 1344. What is -672*k(s) - o(s)?
-224*s**2
Let q(v) = -2*v**3 + 6*v**2 - 11*v. Let h(p) = -2*p**3 + 5*p**2 - 11*p. What is -5*h(n) + 4*q(n)?
2*n**3 - n**2 + 11*n
Let i(v) = 8*v**3 - 4*v**2 + 6*v - 6. Let t(y) = y + 4*y**2 - 3*y - 3*y + 0 - 5*y**3 + 5 - 2*y**3. Calculate 5*i(u) + 6*t(u).
-2*u**3 + 4*u**2
Let s(t) = -4*t + 9. Suppose -15 = -b - 3*q, q = b + 4*b - 11. Let o(j) be the first derivative of -b - 2*j + 4*j + 4*j - j**2 - 2*j. What is -5*o(v) + 2*s(v)?
2*v - 2
Let d(a) = 413*a + 3. Let h(s) = s + 1. Determine -2*d(m) + 6*h(m).
-820*m
Let f(n) = -n. Let a(x) be the second derivative of x**4/12 - 7*x**3/6 - 5*x**2/2 + 18*x. Let u(g) = 1. Let o(h) = a(h) + 5*u(h). What is -6*f(c) + o(c)?
c**2 - c
Let d(b) = -14*b - 23. Let g(v) = 42*v + 69. Let x(s) = -11*d(s) - 4*g(s). Let k = 48 - 42. Let j(h) = 5*h + 8. Calculate k*x(r) + 17*j(r).
r - 2
Let i be 31/(-5) - 4/5. Let u = 12 + i. Suppose 4*t + 21 - u = 0. Let k(b) = -2*b**3 - 4*b**2. Let g(f) = 4*f**3 + 9*f**2. What is t*g(v) - 9*k(v)?
2*v**3
Let c(x) = 2*x - 3. Let t(k) = -48*k + 9. Let u(o) = 89*o - 18. Let l(d) = -11*t(d) - 6*u(d). Calculate 8*c(v) + 3*l(v).
-2*v + 3
Let t(a) = -2*a**2 - 3*a - 3. Let s(j) be the first derivative of -6*j**3 - 13*j**2 - 26*j - 48. What is 6*s(h) - 52*t(h)?
-4*h**2
Let j(o) = -331*o**2 + 2*o + 2. Let x(l) = 489881*l**2 - 2961*l - 2961. Calculate -2961*j(t) - 2*x(t).
329*t**2
Let k(z) = 1. Let h(l) be the second derivative of l**4/24 - 9*l**2/2 - 20*l. Let x(p) be the first derivative of h(p). Calculate -2*k(a) + x(a).
a - 2
Let t(c) = -474*c - 21. Let l(p) = -711*p - 29. What is 5*l(y) - 7*t(y)?
-237*y + 2
Let n(q) = 3*q**3 + 4*q + 6. Let x = -711 + 700. Let g be ((-2)/(-4))/((-2)/(-32)). Let y(b) = b**2 - g*b**3 - b**2 - 17 - 11*b. Determine x*n(w) - 4*y(w).
-w**3 + 2
Let l(z) = -13*z + 6. Suppose 0 = -4*j - 2 - 22. Let m(p) = -p + 1. Give j*m(y) + l(y).
-7*y
Let a(i) = 39*i**3 - 7*i**2 - 12. Let v(p) = 13*p**3 - 2*p**2 - 4. Give 2*a(r) - 7*v(r).
-13*r**3 + 4
Let h(k) = 6*k**2 + 2*k + 3. Let q(b) = 2. What is h(n) - 3*q(n)?
6*n**2 + 2*n - 3
Let t(u) = 0*u + 6*u + 1 - 8*u. Let a(k) = 1. Suppose -4*c = -0 - 8, -5*o = -c - 8. Give o*a(y) - t(y).
2*y + 1
Let d(k) = -k**3 - 431*k**2 - k. Let u(s) = -2*s**3 - 863*s**2 - 2*s. Determine -13*d(m) + 6*u(m).
m**3 + 425*m**2 + m
Let u(p) = -p + 1. Let k be (-148)/(-16) + 18/24. Suppose 5*z + 25 = k*z. Let c(m) = -7*m + 4. Give z*u(n) - c(n).
2*n + 1
Let x(m) = -2*m**3 - m**2 + 1. Let n(w) = 3*w**3 + 3*w**2 - 340. Calculate -n(p) - 3*x(p).
3*p**3 + 337
Suppose 0 = -31*n + 74*n - 32*n - 22. Let t(r) = -3*r + 2. Let w(u) be the second derivative of -7*u**3/6 + 5*u**2/2 + u. What is n*w(j) - 5*t(j)?
j
Let n(g) = 4*g**3 + 5*g - 15. Let h(z) = z**3 + z - 3. Let a(k) = -5*h(k) + n(k). Let b(m) = -m. Calculate 2*a(c) - b(c).
-2*c**3 + c
Let w(u) be the first derivative of -u**4/12 - u**3/3 - 20*u - 2. Let i(z) be the first derivative of w(z). Let k(c) = -c**2 - 5*c. Determine -5*i(b) + 2*k(b).
3*b**2
Let w(g) = -2*g**2 - g - 4. Let a = -2 - -7. Let m(r) be the second derivative of 1/6*r**4 + 0 + 12*r + 5/2*r**2 + 1/6*r**3. Determine a*w(t) + 4*m(t).
-2*t**2 - t
Let w(c) = c**3 + 2*c**2 + c. Let m(v) = -5*v**3 - 12*v**2 - 6*v + 111. Calculate -m(o) - 6*w(o).
-o**3 - 111
Suppose s - 5*m = 4 - 26, -s + 2*m - 19 = 0. Let f(y) = -41*y + 17. Let u(h) = 14*h - 6. Determine s*u(r) - 6*f(r).
8*r
Let r(z) = 3*z - 21. Let b(j) be the second derivative of -j**3/6 + 5*j**2/2 - 5*j - 7. What is 9*b(d) + 2*r(d)?
-3*d + 3
Let i(p) = 11*p + 107. Let v(s) = 19*s + 215. Give 7*i(f) - 4*v(f).
f - 111
Let i(t) = 287*t**3 - 56*t**2 - 28. Let z(f) = -f**3 + 2*f**2 + 1. Calculate i(g) + 28*z(g).
259*g**3
Let w(u) = -606*u + 1. Let v(p) = -1820*p + 3. Determine 3*v(l) - 8*w(l).
-612*l + 1
Let f(w) = -22*w - 257. Let u(z) = 10*z + 129. Calculate -4*f(r) - 9*u(r).
-2*r - 133
Let k(u) = -u**3 + 11*u**2 - 3*u - 1. Let h(q) = -2*q**2 + q - 3. What is -4*h(i) - k(i)?
i**3 - 3*i**2 - i + 13
Let j(h) = 703*h + 4. Let z(u) = -712*u - 5. Determine -3*j(r) - 2*z(r).
-685*r - 2
Let q(b) = 9*b - 4. Let g(d) = 19*d + 33*d - 9*d + 70*d - 14*d - 45. Determine -4*g(u) + 45*q(u).
9*u
Let j(l) = 1159*l - 7. Let c(b) = -586*b + 4. Determine 10*c(o) + 6*j(o).
1094*o - 2
Let u(v) be the first derivative of v**4/4 + v**3/6 - 5*v**2 - 20. Let g(a) be the second derivative of u(a). Let n(c) = 2*c. Determine 4*g(j) - 11*n(j).
2*j + 4
Let m(u) = 47*u + 1. Let z(i) = 234*i + 5. What is -11*m(n) + 2*z(n)?
-49*n - 1
Let v(o) = -2*o**2. Let z(p) = 5*p**2 + 3. Let c(r) = -9*r**2 - 5. Let f(x) = 3*c(x) + 5*z(x). What is -3*f(l) + 2*v(l)?
2*l**2
Let p(d) = -3*d**2 - 6*d + 6. Let t(w) = 2*w**2 + 5*w - 5. Let z be 6/((-9)/(-30)*5). Let a = z + -1. Determine a*p(s) + 4*t(s).
-s**2 + 2*s - 2
Suppose -3*w + 4*q - 10 = -5*w, -3*w - 2*q = -19. Let x(g) = 9*g - 9. Let a(n) = -8*n + 8. Let z(k) = 0 - k - 1 - 1 + 5*k. Let b be z(2). Give b*x(d) + w*a(d).
-2*d + 2
Let n(f) be the third derivative of -f**4/24 - f**3/2 - 76*f**2. Let u(v) = -v + 1. Determine n(g) + 3*u(g).
-4*g
Suppose 0 = -f, -5*v = -3*v + f - 4. Let d = -13 - -2. Let j(o) be the first derivative of 5*o**2 + 11*o - 6. Let g(b) = 2*b + 2. Determine d*g(x) + v*j(x).
-2*x
Let p(s) = 9*s**3 - 10*s**2 - s - 12. Let t(o) = -8*o**3 + 8*o**2 + 11. Give -4*p(r) - 5*t(r).
4*r**3 + 4*r - 7
Let k(b) = -26*b + 614. Let s(i) = 31*i - 614. Calculate 6*k(a) + 5*s(a).
-a + 614
Let f(j) = 16*j**3 + 11*j**2 - 6. Let q(a) = 2 + 124*a**2 + 3*a**3 - 15 + 6 - 122*a**2 + 6. Let s be (-5)/15 - 67/(-3). What is s*q(b) - 4*f(b)?
2*b**3 + 2
Suppose -12*j + 33 = -11*j. Let r = -38 + j. Let k(h) = -10*h - 5. Let q(c) = -7*c - 3. What is r*k(o) + 7*q(o)?
o + 4
Let g(v) = 16*v**2 - 13*v - 8. Let s(b) = 12*b**2 - 11*b - 7. Calculate 4*g(h) - 5*s(h).
4*h**2 + 3*h + 3
Let h(o) = -463*o**3 - 6*o**2 - 6*o. Let g(u) = -4170*u**3 - 55*u**2 - 55*u. Give -6*g(v) + 55*h(v).
-445*v**3
Let s(v) = 85*v**3 + 25*v**2 + 25*v - 25. Let t = 144 + -142. Let n(i) = 2*i**2 + t*i + 1 + 0 + 7*i**3 - 3. Calculate -25*n(j) + 2*s(j).
-5*j**3
Let l(i) = -6*i + 256. Let q(n) = 11*n - 510. Give -5*l(j) - 3*q(j).
-3*j + 250
Let b(s) = 711*s**3 - 11*s**2 + 33*s. Let q(j) = 178*j**3 - 3*j**2 + 9*j. Calculate 6*b(u) - 22*q(u).
350*u**3
Let b(y) = -2*y**2 - 5*y - 35. Let n(s) = 2*s**2 + 4*s + 35. What is 2*b(z) + 3*n(z)?
2*z**2 + 2*z + 35
Let s(q) = -1. Let w(l) = 4 + 10*l - 9*l - 7*l + l. Let m be ((-5)/10)/(1/2). Determine m*w(u) - 3*s(u).
5*u - 1
Suppose 0 = -0*n + 3*n - 6. Let j(l) = -5*l + 0 - 3 - n*l**2 + 5. Let o(p) = 2*p**2 + 6*p - 2. What is -5*j(r) - 4*o(r)?
2*r**2 + r - 2
Let f(n) = 117*n**3 - 6*n**2 + n - 4. Let k(h) = 233*h**3 - 11*h**2 + 2*h - 7. What is 7*f(c) - 4*k(c)?
-113*c**3 + 2*c*
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{
"pile_set_name": "DM Mathematics"
}
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(a) s (b) 3/4 (c) -0.5
c
Let v = 15 + -11. Which is the closest to 1? (a) v (b) 0.2 (c) -6/7
b
Let x = 6/49 - 13/49. Which is the closest to x? (a) 0.1 (b) -0.5 (c) 5
a
Suppose -6*q - 12 = -2*q. Let h be 0/8 + q/5. What is the closest to -0.1 in 2/13, h, -0.1?
-0.1
Let n be (0/1)/((-39)/13). What is the closest to 0 in -40, n, 0.4?
n
Let r = 0 + -2. Let v = 0.8 - 0.9. What is the closest to -1/2 in r, v, 4?
v
Let i = 19 + -18. Which is the nearest to i? (a) -0.1 (b) 8 (c) 0.1
c
Let w = -18 + 8. Let t = w - -7. Let f be ((-1)/3)/((-10)/(-12)). What is the nearest to -0.2 in t, -5, f?
f
Let d = -8 + 6. Let z = -0.5 + -0.5. Which is the closest to 2/5? (a) d (b) z (c) 0.1
c
Let u be (6/20)/(54/45). What is the nearest to u in 2, -2, 1/10?
1/10
Let s = -48 + 143/3. Which is the closest to 0.1? (a) -2/19 (b) s (c) -1
a
Let j = -2.1 + 0.4. Let v = j - -1.8. Which is the closest to v? (a) 5 (b) -1 (c) 1
c
Let x = -0.2 + 4.2. Which is the nearest to 2/3? (a) x (b) -5 (c) -2/5
c
Let u = 36 - 35.9. What is the nearest to -0.1 in 4/3, u, 2?
u
Let r(o) = 5*o**2 - 44*o + 50*o + 1 - 4*o**2 + 0*o**2. Let s be r(-6). Suppose -5*q + q + 16 = 0. What is the nearest to s in -5, 2/17, q?
2/17
Let f = 0.61 - 0.11. Let m = -0.1 + 0.1. Let k = 0.8 + -1. What is the closest to 0.1 in m, f, k?
m
Let v = 17.7 + -2.7. Let g = v + -12. Which is the nearest to 1? (a) 2/11 (b) g (c) 5
a
Suppose -2*p + 4*m - 14 = 0, 3*p + 2 = 2*m + 1. Suppose 0 = -2*h - p*h. Which is the nearest to -1? (a) -4 (b) h (c) 1
b
Let z = -0.113 - -0.013. Let g be (-32)/130 + 2/5. Let h = g - 19/39. What is the closest to z in -0.4, 2, h?
h
Let h(l) = -l**2 - 6*l + 11. Let w be h(-8). Let n = -0.4 + 0.6. Which is the nearest to n? (a) 2/13 (b) w (c) 1
a
Let v = 0.1 - 0.06. Let i be ((-11)/99)/(2/(-12)). Which is the nearest to i? (a) v (b) -1 (c) -1/5
a
Let s = -9 - -9.2. What is the closest to -0.1 in -3, s, 5?
s
Suppose 4*j - 16 = -l, 2*j + 0 - 6 = -l. Let o(g) = -g**2 - 3*g + 3. Let x be o(-5). Let w = x + 5. Which is the nearest to -0.1? (a) w (b) j (c) 0
c
Let f be (-728)/(-3 + 3/6). Let n = f - 290. Which is the closest to -2? (a) n (b) -2 (c) -1
b
Let k = 552/5 + -111. Which is the closest to -5? (a) k (b) 2 (c) -0.5
a
Let q = 1 - -9. Let u = q + -7. What is the closest to -1 in u, 0.3, 0.5?
0.3
Let x = -49/4 - -12. Let g = -0.92 + -0.08. What is the nearest to g in x, -3, -5?
x
Let n be (-6)/(-26)*(-4)/6. Let l = -5 - -2.4. Let c = 0.6 + l. What is the closest to 1/3 in -2/5, c, n?
n
Let f = 16 - 22. Let d = -6 - f. Let s = 0.5 - d. Which is the nearest to 1? (a) s (b) -3 (c) -0.2
a
Let h = -254/5 - -51. Let z = 0.2 + -0.3. Which is the nearest to -1? (a) -1 (b) z (c) h
a
Let w be (6*15/(-20))/6. Let i = 1.7 + 0.7. Let g = i + 0.6. What is the closest to -2/3 in g, -2/21, w?
w
Let d = 29 + -30. What is the closest to d in -5, 17, 1/3?
1/3
Let s be 22/(-3 - (-204)/52). Let n = s - 433/18. Which is the closest to 2/5? (a) -2 (b) 4 (c) n
c
Let v = -3.1 - -3. Let c = 0.03 - 0.33. Let x = v - c. What is the nearest to 1/2 in -0.3, x, 2/3?
2/3
Let j = -1.6 + 0.6. Which is the closest to j? (a) 3 (b) -3/7 (c) 0.1
b
Let n = 93 - 94. Which is the nearest to -0.1? (a) 5 (b) n (c) 2/11
c
Suppose 31 = 5*w - 14. Suppose 0 = -d + 4*g + w + 9, 4*d - g = 12. What is the closest to d in -1, -4, -0.2?
-0.2
Let l = -0.62 - -0.7. Let h = 0.02 + l. Which is the nearest to -1? (a) h (b) -0.1 (c) 1
b
Let y = 1825/2 + -935. Let z = 22 + y. What is the nearest to -0.1 in 5, -2/17, z?
-2/17
Let u = 1 - -1. Let p = -2 + u. Let m = 2/3 + -1. Which is the nearest to p? (a) -2 (b) 3 (c) m
c
Let o be -3*(1 - (-17)/(-15)). Let w = -20 - -17. Which is the closest to -2/3? (a) 1/4 (b) o (c) w
a
Let k = 6 - 10. Suppose -5*g + 11 = -3*h + 4, -2*g = 2. Let o be (-24)/(-56) - h/7. What is the nearest to o in -2, -5, k?
-2
Let v be 2/6*2/(-4). Let w be 0 + 0 + (-8)/36. Let q be (4/6)/((-40)/15). Which is the nearest to 1/4? (a) w (b) v (c) q
b
Let q = 5.116 + -0.116. Which is the closest to -15? (a) 3 (b) -0.2 (c) q
b
Suppose -r - 20 = 3*r. Let q be (-4)/20 - 31/r. Suppose 2 = 4*d + q. What is the nearest to -1 in 0.4, d, 0.3?
d
Let l = 5.07 + 0.73. Let h = -6 + l. What is the nearest to -1 in 0, h, 0.5?
h
Suppose -p = -8 + 3. Let s = 3.9 - 4. What is the nearest to -1/3 in -1/5, s, p?
-1/5
Let g = 0.2 + 0.2. Let z = 5.3 - 5. Let t = -4 + 3.8. What is the nearest to -1 in g, z, t?
t
Let r = 0.3 + 0.2. Suppose 0 = 2*t - 15 + 9. Which is the closest to -1/2? (a) t (b) -3 (c) r
c
Let g be 1*(-2)/5 + 1. Suppose 0 = -5*b + 2*b - 12. What is the nearest to g in -3, b, -1/2?
-1/2
Let w = -6 + 4. Which is the closest to 2? (a) -5 (b) -3 (c) w
c
Let m = 12 + -8. What is the closest to -8 in -1, m, -0.5?
-1
Let d = -0.25 - -0.3. Let y = -2.05 + d. Let g = 7 - 8. Which is the closest to y? (a) -5 (b) g (c) 0.3
b
Let v = 1.975 - -0.025. Which is the closest to -33? (a) -0.5 (b) v (c) -1
c
Let d be 26/(-16) - (-4 - -2). Let y = -34 + 308/9. Which is the closest to -0.1? (a) d (b) y (c) -0.5
b
Suppose 0*d = d - i + 2, -3*d - 9 = -4*i. Let j = 5 + -4. Let n = -1 - j. Which is the nearest to 0.2? (a) n (b) d (c) -1/4
c
Suppose -3*l = l - 40. Let y = 7 - l. Let f be y + -3 + 25/4. Which is the closest to f? (a) 0.1 (b) -0.3 (c) -1/4
a
Let z = 7.1 + -7. Let k = -7 + 2. Let x = 30 - 29. Which is the nearest to x? (a) 3 (b) k (c) z
c
Let j = 1.03 + -0.73. Which is the nearest to 0? (a) 1 (b) j (c) -3
b
Let r be (-2)/2*-2 + -2. Let k be (1 + -1 + r)/2. What is the closest to -0.2 in -2, 2/3, k?
k
Let b = -0.18 + -0.32. Let k = 1.2 - 0.2. What is the nearest to k in b, -5/4, 1/2?
1/2
Let i = 23/6 + -43/12. What is the nearest to i in 0, 8, 5/3?
0
Let n = -0.057 + -1.023. Let h = n + 0.08. Let g = -5 - -3. Which is the nearest to h? (a) g (b) -4 (c) -1
c
Let q = 136.17 - 137. Let m = 0.17 - q. Which is the closest to 0.1? (a) 1/9 (b) -3 (c) m
a
Let o = 1 + -1. Let g = 3.2 + -5.2. Which is the closest to o? (a) 0.05 (b) 5 (c) g
a
Let o(m) = 13*m - 1. Let t be o(1). Let l be ((-90)/t)/(2/(-4)). Suppose 0 = -5*r - l, -15 = -w + 3*r + 2*r. Which is the nearest to 0? (a) 1/3 (b) 1 (c) w
c
Let n be 6*((-4)/30 - 0). Let a = -27 + 25. Let j be ((-3)/(-2))/(6/12). What is the closest to 0 in n, j, a?
n
Let q = 173356/21 - 8253. Let l = q - 12/7. Let s be (3 - 43/15)*3. Which is the nearest to l? (a) 0 (b) s (c) -5
b
Let t = -1.13 - -0.93. Which is the closest to 15? (a) 5 (b) 3 (c) t
a
Let g = -189 + 189.5. Let x = 7 + -13. What is the closest to -2/7 in -1, x, g?
-1
Suppose 0 = 23*y - 28*y. Which is the closest to -4/7? (a) -0.3 (b) 0.2 (c) y
a
Let k = 0.76 + -0.96. Which is the nearest to 0.2? (a) -2/11 (b) 2/11 (c) k
b
Let l be (-14 - -4 - 2)*(-1)/4. Which is the nearest to 1/3? (a) l (b) -3/8 (c) -4
b
Let f = -0.1 - -1.1. What is the nearest to f in -0.3, -5/2, 2/7?
2/7
Let f = -1 + 1. Let r be (2*2/(-10))/(14/(-35)). What is the nearest to 0.1 in r, f, 4?
f
Let k = 2/3 + -1/15. Let t = 0.2 - 0.4. Which is the closest to -9? (a) k (b) -1/2 (c) t
b
Let t = 2.8 + -3. Suppose -m = -2*s - 3*m - 10, s - 2*m = 10. Which is the closest to s? (a) 2/13 (b) -4 (c) t
a
Let g = 8 - 4. What is the nearest to -1 in g, 3, 0.1?
0.1
Let v be ((32/(-5))/4)/2. Let m = -0.11 + 5.11. Which is the closest to -2? (a) -3 (b) m (c) v
a
Let c(l) = 3 - 8 + l - 2. Let w be c(5). What is the nearest to -2 in 1/3, w, -1/3?
w
Let f be 9/(-7) - 2/(-2). Suppose 3*m + 1 = -23. Let d be (-36)/10 + m/(-2). Which is the nearest to f? (a) -5/3 (b) -1/2 (c) d
b
Suppose 4*t - 2*n + 20 = 0, 3*t + 4*n + 15 = -n. Let v = 160 - 1117/7. Which is the closest to 0? (a) t (b) v (c) 0.5
b
Let n = -28 + 23. Which is the nearest to 1? (a) n (b) -1 (c) -0.2
c
Let q = 7.06 + -7. Let l = -0.04 - q. Which is the nearest to l? (a) -3/2 (b) -1 (c) -2
b
Let g be 2/(-3)*1/2. Which is the nearest to g? (a) -1 (b) 5 (c) 0.1
c
Let x = 32/11 - 3. Suppose 0 = -z - 0*z. Let k be (0 - (-2 + 1))*z. What is the nearest to 1 in k, x, -5?
k
Suppose 2*m - 2*f - 12 = 0, 4*f + 10 = m - 8. Let x = -5 + 7. Suppose 0 = -m*o - 4*l - 4, x*o = l + 1. Which is the closest to 0.1?
|
{
"pile_set_name": "DM Mathematics"
}
|
et i(s) = 11*s**3 - 36*s**2 + 77*s - 43. Let k(j) = -18*i(j) + 5*l(j). Factor k(w).
-3*(w - 2)**3
Let f = 145 + -144. What is h in -3/2*h + f + 1/2*h**3 + 0*h**2 = 0?
-2, 1
Suppose -8 - 1 = x - 2*g, 5*g = -3*x + 17. Let a = 3/2 + x. Solve -a*b + 0*b**2 - 1/2*b**5 + b**3 + 0*b**4 + 0 = 0 for b.
-1, 0, 1
Let k(f) = f**4 - f**3 - 2*f**2 + f. Let t(y) = y**4 + y**3 - y. Let g(j) = k(j) + t(j). Factor g(c).
2*c**2*(c - 1)*(c + 1)
Let x(a) = a**2 + 4*a - 3. Let d be x(-5). Factor 0*u + 3*u + u**2 - u**2 - 3*u**d.
-3*u*(u - 1)
Let z(w) = -w - 2. Let d be z(-6). Factor -d*g**2 - g + 5*g - 1 + 3*g**2 - 3.
-(g - 2)**2
Let t(w) = 4*w**2 + 9*w - 9. Let u(m) = -5*m**2 - 10*m + 10. Let i = -3 + 6. Let s be (-1)/((i/18)/(-1)). Let a(x) = s*t(x) + 5*u(x). Factor a(d).
-(d - 2)**2
Let a(o) = 3*o - 30. Let l be a(11). Let q(z) be the third derivative of 0*z + 0 - 4/15*z**l + z**2 - 1/300*z**6 + 1/50*z**5 + 0*z**4. Factor q(s).
-2*(s - 2)**2*(s + 1)/5
Let w = 3 - 4. Let d be (-4 + (1 - -1))*w. Factor 2*b + 2 - 2*b - 2*b**d.
-2*(b - 1)*(b + 1)
Let c(q) be the second derivative of 1/36*q**4 - 3*q + 1/9*q**3 + 1/6*q**2 + 0. Determine l so that c(l) = 0.
-1
Let x be (-4)/10 - (-66)/15. Factor 8*q**3 + 0*q**3 - q**3 + x*q**4 - q + 2*q**2.
q*(q + 1)**2*(4*q - 1)
Let w(z) be the second derivative of 1/9*z**4 + z + 0 + 4/9*z**3 + 8/9*z**2 + 1/90*z**5. Let w(k) = 0. Calculate k.
-2
Let c(d) = -d - 11. Suppose w = g - 2*w - 2, 6 = -2*g + 4*w. Let z be c(g). Determine k so that 1/3*k**3 + 0 + 0*k**z + 0*k + 0*k**4 - 1/3*k**5 = 0.
-1, 0, 1
Let o(u) be the first derivative of u**7/210 - u**6/40 + u**5/20 - u**4/24 + u**2 + 8. Let p(n) be the second derivative of o(n). Let p(r) = 0. What is r?
0, 1
Let b(x) be the first derivative of 4*x**3/3 + 2*x**2 - 8*x - 5. Find t such that b(t) = 0.
-2, 1
Let b(p) be the third derivative of 8*p**7/21 + 5*p**6/3 - 29*p**5/4 + 175*p**4/24 - 10*p**3/3 + 31*p**2. Determine t so that b(t) = 0.
-4, 1/4, 1
Let f = 9 - 3. Let q(x) be the second derivative of 1/135*x**f + 0*x**2 + 1/54*x**4 + 1/45*x**5 + 0*x**3 + 0 - 2*x. Let q(g) = 0. What is g?
-1, 0
Let m(u) be the first derivative of 5*u**3/4 - 55*u**2/8 - 5*u + 14. Factor m(n).
5*(n - 4)*(3*n + 1)/4
Let u(n) be the first derivative of -2*n**6/3 - 8*n**5/5 - n**4 - 6. Factor u(l).
-4*l**3*(l + 1)**2
Let k be 0 + -3 - (1 + -4). Let p(q) be the third derivative of k*q**3 + 0*q**5 + 2*q**2 + 1/180*q**6 + 0*q + 0 + 0*q**4. Suppose p(m) = 0. What is m?
0
Let p be -2 + (-32)/(-18) + 8/36. Factor 0 + 2/5*a**5 + 0*a + p*a**4 - 2/5*a**3 + 0*a**2.
2*a**3*(a - 1)*(a + 1)/5
Suppose 32 = 8*m + 8*m. Let h(v) be the second derivative of 2*v + 1/20*v**4 + 0 - 3/10*v**m + 0*v**3. Factor h(u).
3*(u - 1)*(u + 1)/5
Let r(c) = -4*c**2 - 8. Let j(g) = g**2 - g. Let n(z) = -6*j(z) - r(z). Solve n(l) = 0.
-1, 4
Suppose o + 7*c - 4*c + 21 = 0, 0 = -3*c. Let m = -19 - o. Let 0 + 1/5*z**m + 1/5*z = 0. Calculate z.
-1, 0
Let l(j) be the third derivative of j**8/16800 + j**7/12600 - j**6/900 + j**5/20 - j**2. Let p(r) be the third derivative of l(r). Let p(g) = 0. What is g?
-1, 2/3
Let u(r) be the third derivative of r**7/11340 + r**6/810 + r**5/135 + r**4/3 - 4*r**2. Let d(i) be the second derivative of u(i). Solve d(h) = 0.
-2
Suppose -5*a - 2*q - 6 = -6*a, -3*a - 2*q = -2. Factor -o - 1/3*o**3 - o**a - 1/3.
-(o + 1)**3/3
Let j(w) be the third derivative of 0*w - 5*w**2 - 1/180*w**5 - 1/18*w**3 + 1/36*w**4 + 0. Suppose j(m) = 0. What is m?
1
Let p(v) be the first derivative of 1/360*v**6 + 1/24*v**4 + 1/60*v**5 + 0*v**2 - 1/3*v**3 + 2 + 0*v. Let s(y) be the third derivative of p(y). Factor s(l).
(l + 1)**2
Suppose -4*j = -2*u - 78, -8 = 5*u - 3. Factor -2*h**3 - 24*h + h**2 + 16 + j*h**2 - 8*h**2.
-2*(h - 2)**3
Factor 1 + x - 3/4*x**2.
-(x - 2)*(3*x + 2)/4
Let r(z) = -36*z**3 - 39*z**2 + 12*z - 15. Let f(m) = 9*m**3 + 10*m**2 - 3*m + 4. Let h(v) = 15*f(v) + 4*r(v). Factor h(s).
-3*s*(s + 1)*(3*s - 1)
Let t(u) be the second derivative of -u**6/10 + 9*u**5/20 + u**4/4 - 3*u**3/2 + 6*u. Factor t(i).
-3*i*(i - 3)*(i - 1)*(i + 1)
Suppose -24 = -b - b. Find h such that -5*h**2 + 13*h + 2*h**3 - b*h**3 - 2*h**4 - h**2 + 5*h = 0.
-3, 0, 1
Let i be 1 - 0 - (-2 - 0). Suppose -i*v + t = -3*t + 8, -8 = v - 4*t. Factor v + 4/9*j**2 - 2/9*j - 2/9*j**3.
-2*j*(j - 1)**2/9
Let t(h) be the third derivative of 2/1155*h**7 + 0*h**6 + 0*h - 1/165*h**5 - 1/132*h**4 + 0 + 1/1848*h**8 + 0*h**3 + 5*h**2. Suppose t(s) = 0. What is s?
-1, 0, 1
Let t = -61 - -17. Let p be 3/(-12) + (-11)/t. Determine b, given that 9/4*b**3 + 5/4*b**5 - 1/2*b**2 - 3*b**4 + p + 0*b = 0.
0, 2/5, 1
Let x = -20 - -26. Let u = x + -4. Factor 4/7*y**3 + 0*y - 2/7*y**4 - 2/7*y**u + 0.
-2*y**2*(y - 1)**2/7
Suppose -f - 4*f + c = -2, -2*c = 4. Factor -1/4*g + f - 1/4*g**2.
-g*(g + 1)/4
Let y = -69 - -211/3. Factor 0 - y*j - 4/3*j**2.
-4*j*(j + 1)/3
Let 3/2*q**2 + 0*q + 0 + 1/2*q**3 = 0. What is q?
-3, 0
Let x(f) be the first derivative of -3*f**5/20 + 3*f**4/16 + f**3/8 - f + 4. Let u(m) be the first derivative of x(m). Solve u(w) = 0.
-1/4, 0, 1
Let x(d) be the third derivative of d**7/70 + d**6/10 + d**5/5 + 5*d**2. Factor x(v).
3*v**2*(v + 2)**2
Let o = -1 - -7. Suppose 3*b - 2*k - o = 0, -2*b + 3*b + 6 = -2*k. Factor 2/3*t**2 + 1/3*t**3 + 1/3*t + b.
t*(t + 1)**2/3
Let f = 2/131 - -248/917. Factor -f*y**2 + 1/7*y + 0.
-y*(2*y - 1)/7
Let q = 29/8 - 601/168. Let k(t) be the first derivative of 16/7*t + q*t**6 + 4*t**2 + 25/14*t**4 + 16/35*t**5 + 2 + 76/21*t**3. Find n such that k(n) = 0.
-2, -1
Let k(x) be the third derivative of x**7/735 - x**6/420 - x**5/210 + x**4/84 - 12*x**2. Find w such that k(w) = 0.
-1, 0, 1
Let p(c) be the first derivative of -2/21*c**3 - 2/7*c - 2/7*c**2 - 1. Suppose p(f) = 0. What is f?
-1
Suppose -2*y - 40 = 3*y. Let l be y/20*(-30)/3. Solve -5/3*k**3 + 3*k**2 + 2/3 - 7/3*k + 1/3*k**l = 0.
1, 2
Let 15/4 + 3/4*j**2 - 9/2*j = 0. Calculate j.
1, 5
Let z(t) be the third derivative of t**6/300 + 2*t**5/75 + t**4/20 - 11*t**2. Factor z(m).
2*m*(m + 1)*(m + 3)/5
Suppose 4*m = m + 9. Suppose m*v = 2*v. Solve 1/2*z - 1/2*z**2 + v = 0.
0, 1
Let -19*o**2 + 2 + 5*o**3 - 11*o**2 - 2 + 25*o = 0. Calculate o.
0, 1, 5
Let w = -5256/17 + 1261559/4080. Let c(t) be the third derivative of 0*t**3 + 0 - w*t**5 - 1/48*t**4 + t**2 + 0*t. Find g such that c(g) = 0.
-2/7, 0
Let m(o) = -3*o - 5 + 1 + 2*o - 2. Let j be m(-8). Suppose 2*p - 4*p**2 + 3*p**2 + 1 - j*p = 0. What is p?
-1, 1
Suppose -2*s - k = -6, 4*s - 3*k - 2*k = 12. Factor -4*n**3 - n**s + 0*n**3 + 3*n**3 + 2*n**2 + 4*n.
-2*n*(n - 2)*(n + 1)
What is d in -1/4*d**3 + 0*d + 1 - 3/4*d**2 = 0?
-2, 1
Factor 1/6*t + 0 + 8/3*t**4 + 4/3*t**3 - 7/6*t**2.
t*(t + 1)*(4*t - 1)**2/6
Suppose 4*k - 34 = -3*y + 41, 0 = 3*k - 5*y - 49. Suppose 4*p - 3*q - 13 - k = 0, 3*p - 2*q - 23 = 0. Solve -7*n + 2*n**4 + p*n - 2*n**3 = 0.
0, 1
Let q be 122/240 + ((-9)/(-6))/(-3). Let j(t) be the third derivative of 0*t + 0 - q*t**5 + 3*t**2 + 1/12*t**3 + 1/240*t**6 - 1/48*t**4. Factor j(p).
(p - 1)**2*(p + 1)/2
Let n(s) be the second derivative of s**5/20 + s**4/6 - s**3/6 - s**2 - 7*s. Factor n(y).
(y - 1)*(y + 1)*(y + 2)
Let h(u) be the first derivative of -2*u**3/15 + 5*u**2/3 - 16*u/15 + 66. Solve h(d) = 0.
1/3, 8
Let u(t) be the third derivative of -5*t**8/336 + 5*t**7/42 - t**6/3 + t**5/3 - 11*t**2. Factor u(m).
-5*m**2*(m - 2)**2*(m - 1)
Factor 10*w**4 - 15*w**4 - 29*w + 5*w**3 + 20*w**2 + 9*w.
-5*w*(w - 2)*(w - 1)*(w + 2)
Let 0 + 2/7*d**2 - 2/7*d = 0. What is d?
0, 1
Let m be 10/15 + 4/(-6). Suppose -r + 4 + 0 = m. Suppose -2/7*j**3 + 0 - 2/7*j**r + 0*j + 0*j**2 = 0. Calculate j.
-1, 0
Let k(x) = 2*x. Let r be k(1). Let i(g) be the first derivative of -2 - 4/7*g - 2/21*g**3 + 3/7*g**r. Determine q so that i(q) = 0.
1, 2
Let f(s) be the second derivative of -s**5/170 + 2*s**4/51 - 5*s**3/51 + 2*s**2/17 + 8*s. Determine b so that f(b) = 0.
1, 2
Let w(p) be the first derivative of -4*p**5/5 - 2*p**4 - 4*p**3/3 - 10. Factor w(j).
-4*j**2*(j + 1)**2
Suppose 2*v + 7*v = 198. Let w = v + -22. Factor 0 - 2/9*d**4 + w*d**3 + 2/9*d**2 + 0*d.
-2*d**2*(d - 1)*(d + 1)/9
Suppose -6 = -4*o + 2. Let i = -18 + 22. Factor -9*z**i - 3*z**2 + o*z**5 + z**5 + 0*z**5 + 9*z**3.
3*z**2*(z - 1)**3
Let k(j) be the second derivative of 0 + 1/35*j
|
{
"pile_set_name": "DM Mathematics"
}
|
t + l*n + q*n**2 and give t.
-1
Express 1458*a**2 - 2961*a**2 + a**3 - 3*a**3 - 5 + 1480*a**2 as s*a**3 + b*a**2 + t*a + y and give s.
-2
Express (54*n**2 - 47*n**2 + 79*n**2)*(-11 + 5 - 7) in the form y + t*n + z*n**2 and give z.
-1118
Rearrange 4*l**4 - 107 + 55 - 5*l**2 - l**2 + 8*l**2 + 54 + l - 10*l**3 to h*l**3 + u*l + f*l**2 + c*l**4 + v and give h.
-10
Express 5 - 5 + v - v - 3*v - v + (-4*v + v + 0*v)*(4 - 5 + 2) - v + 11*v + 5*v - 2 as g*v + w and give g.
8
Express 1346439*i**3 + 2*i**4 - 2*i**2 - 1346439*i**3 + 2*i + 569 as d*i + t + h*i**2 + j*i**4 + u*i**3 and give t.
569
Rearrange 2*f - 6*f + 139956 - 37*f**3 - 139918 to the form b*f + v*f**3 + r + a*f**2 and give v.
-37
Express 470*o - 1425*o - 88*o - 793*o as m*o + x and give m.
-1836
Express -1885*x - 6*x**3 + 1883*x + 122*x**4 - 126*x**4 + 12*x**3 - x**2 + 130*x**3 + 2 as n*x**2 + w*x + r*x**3 + g*x**4 + s and give g.
-4
Rearrange (-6*g - 31 + 31)*(1253 - 3195 + 1567) to w + k*g and give w.
0
Rearrange 1566*p**2 - 19*p**2 + 1045*p**2 to the form h*p + w*p**2 + g and give w.
2592
Rearrange -102*p**3 + 13*p + 3*p - 12*p + 555*p**3 to the form t*p**3 + w*p + a*p**2 + j and give t.
453
Rearrange -3622*u**4 + 3595*u**4 + 6 + 11 + 25 + 2*u**3 to the form q*u + b*u**3 + n + d*u**4 + t*u**2 and give n.
42
Express (31*q**2 - 186 + 186)*(-202*q + 326*q + 693*q) in the form j*q**3 + u + z*q + g*q**2 and give j.
25327
Express 30*b + 27 - 52*b - 2*b**4 + b**2 + 19*b + 4 in the form p*b**4 + z*b**2 + v*b + r + x*b**3 and give p.
-2
Rearrange (6 - 3 - 9)*(-1052 + 958*x + 2104 - 1052)*(-2 + 4 - 4) to v + y*x and give y.
11496
Express -2*x + 2*x + x - 4 - x + 4 + (x + x - 4*x)*(-1 + 0 + 3) + 2*x - 2 + 2 + (5*x - 2*x + 4*x)*(597 + 66 - 1168) in the form m*x + g and give m.
-3537
Express 46 + t**2 - 151 - 48 - 220 as w*t + j*t**2 + i and give i.
-373
Rearrange -725*g - 4418*g - 1140*g + 525*g to n + a*g and give a.
-5758
Express 44*a**2 + 132*a + 9*a - 166*a in the form c + m*a + d*a**2 and give m.
-25
Rearrange -4 + 101555*g + 101564*g + 3 - 3*g**4 + 5*g**4 + g**2 - 203166*g to the form f + n*g + d*g**3 + j*g**2 + u*g**4 and give j.
1
Express -3968*c + 13629*c + 13561*c as d + p*c and give p.
23222
Express 67820*i**4 - 1 + 67822*i**4 - 135640*i**4 + 1049*i**3 as w + g*i**3 + l*i**4 + y*i + x*i**2 and give w.
-1
Express 55 + 6*u - 183 + 71 + 72 in the form d*u + f and give f.
15
Rearrange 4*i**2 + i - 5*i**4 + 73*i**3 - 11 - 74*i**3 + 2*i**4 + 11 to the form x*i + o*i**2 + y + s*i**3 + m*i**4 and give x.
1
Express -3 - 17 + 13 - 107*c + 12 + 22 in the form k + j*c and give j.
-107
Rearrange 4*r - 1047*r**4 - 1047*r**4 - 73 - 63 + 2091*r**4 - 44 to the form u*r**2 + v*r**3 + b*r**4 + a + l*r and give l.
4
Rearrange -74*m + 15*m**3 - 15*m**3 + 23 + 16*m**3 + 72*m + m**2 to the form l + r*m + s*m**2 + w*m**3 and give w.
16
Express -7*c + 591*c**2 + 5*c**3 - 591*c**2 - 41 + (-c - 3 + 3)*(0*c**2 - 4*c**2 + 3*c**2) in the form j*c + i + t*c**2 + k*c**3 and give j.
-7
Express (-18*x + x - x)*(-13*x**2 + 39*x**2 + 43*x**2) in the form u*x**2 + z*x + r + s*x**3 and give s.
-1242
Express 903*s - 2 - 9206*s - 4028*s + 4185*s - 4105*s in the form u + v*s and give v.
-12251
Express (265 - 3*v - 604 + 255)*(0*v**2 - v**2 - 4*v**2) as u*v**2 + r + l*v**3 + w*v and give u.
420
Rearrange (103 - 739 + 6*s - 828 - 9*s)*(-4*s - 3*s + 0 + 1) to the form h + g*s**2 + i*s and give g.
21
Express (3*p**2 + 3*p**2 - 4*p**2)*(2*p + 1 - 1) + 808*p + 815*p + 115*p**3 - 1616*p in the form s*p**2 + i + m*p + y*p**3 and give y.
119
Rearrange (82*d + 53*d - 30*d)*(83 - 21*d**2 - 83) + (0*d + d - 2*d)*(-d**2 + 0*d**2 + 0*d**2) to f + r*d**3 + h*d + i*d**2 and give r.
-2204
Rearrange 6*r**4 - r**4 - 2*r**4 + (0 + 1 + 1)*(69207*r - 69207*r + 3167*r**4) to the form u + p*r**4 + z*r**2 + s*r + a*r**3 and give p.
6337
Rearrange 195*c**3 + 7 - 55*c - 12*c + 4*c**2 + 35*c + 30*c to s*c**2 + q*c**3 + k + m*c and give k.
7
Rearrange -133*f + 6*f**3 - 14*f**3 + 3*f**3 + 3*f**3 - 2*f**3 - f**4 + 3 to o*f + s*f**2 + y + m*f**3 + i*f**4 and give o.
-133
Rearrange 1630*h - 4891*h + 1632*h + 1631*h - 2*h**4 + 2 + 69*h**2 + h**3 to the form r*h + w*h**4 + t*h**3 + u*h**2 + o and give r.
2
Express (-81*y**2 + 44*y**2 + 173*y**2)*(15*y - 2*y + 8*y) in the form z + d*y**2 + a*y**3 + h*y and give d.
0
Express (-v + v + 2*v)*(v - 3*v + v) + (-3*v + v + 4*v)*(2*v + 4*v - 4*v)*(-6172 - 4473 - 1401) as a*v**2 + j*v + d and give a.
-48186
Rearrange (2*y - 4*y + 0*y + 6)*(-23*y**3 - 17*y**3 + 26*y**2 + 39*y**3) to p*y + v*y**2 + q*y**4 + m + h*y**3 and give q.
2
Express -2*g**2 + 0*g**2 - 1315 - g + 1693 in the form l + u*g**2 + i*g and give l.
378
Rearrange (-1 + 0 + 0)*(-8 + 8 + 3*f)*(268*f + 216*f + 519*f) to q*f**2 + x + d*f and give q.
-3009
Rearrange -269 + 88 + 89 + 96 + 200*w to the form c + x*w and give x.
200
Rearrange -10*b + 6*b - 1803*b**3 - 1371*b**3 to i*b**3 + r*b**2 + q + y*b and give y.
-4
Express -l - 72 - 99 - 75 - 87 in the form w*l + c and give w.
-1
Rearrange (9*x - 10*x + 8*x)*(206*x**3 - 4407*x**3 + 261*x**3) to y*x + s*x**4 + f + a*x**2 + q*x**3 and give s.
-27580
Express -41*x**2 + 14*x + 69*x**2 - 59*x + 17*x + 16*x as b*x**2 + s*x + p and give b.
28
Rearrange c + 1 - 19*c**3 - 41*c**2 + 27*c**3 - 8*c**3 + 9*c**3 to t*c**3 + f + v*c**2 + a*c and give f.
1
Rearrange (4 - 1 - 4)*(2 - 2 + 1)*(-113 - 203 - 18)*(4*h - 5*h + 53*h) to r*h + s and give r.
17368
Express 144 + 985*d**3 - 85 - 1026*d**3 as v*d**2 + i*d + s*d**3 + l and give s.
-41
Express -22*t + 2 - 6*t - 3 + 124*t**2 + 40*t in the form q + c*t**2 + y*t and give q.
-1
Express 1 - 3 + 271*d - 102*d + 1 + 344*d in the form i + u*d and give i.
-1
Express -18*j**2 - j - 2409812*j**3 + 1 + 0*j + 2409810*j**3 in the form w*j**3 + l*j + f + k*j**2 and give k.
-18
Express (-3 + 3 - 2)*(-127*h + 14*h - 618*h) + (1 - 5 + 2)*(2*h - 4*h + h) as y*h + r and give y.
1464
Rearrange -609 - 225*h - 229*h - 350 + 686*h - 231*h to a*h + q and give a.
1
Rearrange (3*r - 3*r - 2*r + (3 - 5 + 0)*(204 - 204 + 90*r) + (-5*r + 5*r + 2*r)*(0 + 0 - 1) + 3*r + 7 + r - 9)*(-2 - 2*r + 2) to j + d*r + b*r**2 and give b.
360
Rearrange -525118*p**3 + 5 + 10*p**2 + 4*p**2 + 525125*p**3 - 3*p**2 to the form h*p**3 + o*p**2 + r + m*p and give o.
11
Rearrange (-3 + 3 + 2*x)*((4 + 0 - 6)*(-32 - 54 + 101) + (-3 + 4 + 0)*(0 + 1 - 3)) - 1711 + 79*x + 1711 to the form q + p*x and give p.
15
Rearrange -297 - 2*n - 1343 + 4582*n**2 - 4581*n**2 to the form t*n**2 + g + f*n and give t.
1
Express -g**3 - g + 2*g**2 + 65 - 20 + 22 + 31 as b + f*g**3 + t*g**2 + i*g and give t.
2
Rearrange 7*c**2 + 2*c**2 - 8*c**3 - 71 - 88 + 3*c**3 to m*c + i*c**2 + r*c**3 + y and give y.
-159
Express 1164*m + 602*m - 1003480 + 1003480 as h + w*m and give w.
1766
Rearrange -379*d + 3499*d + 5421*d + 1473*d to the form j*d + p and give j.
10014
Rearrange -3*b**2 + 4*b**2 - 536663 - 41*b**4 + 536697 to o + z*b**4 + k*b + y*b**3 + h*b**2 and give o.
34
Express (209*d - 26*d + 241*d)*(-2 + 2 - 2*d**3) + (3*d**2 - 2*d**2 + 2*d**2)*(d**2 - 2 + 2) as t + r*d**3 + f*d**2 + k*d**4 + c*d and give k.
-845
Rearrange 3158*s**2 + 12*s**3 + 5 - 3157*s**2 - 3 to the form a*s**3 + c*s + r + w*s**2 and give r.
2
Express 8 - 602*k**2 + 174*k**2 + 112*k**2 + 199*k**2 - 3 in the form j*k + d + c*k**2 and give c.
-117
Rearrange 23*m**2 + 7*m**3 + 54*m**4 - 9*m**3 - 55*m**4 - 3 + 21*m**2 to y*m + q*m**4 + v*m**3 + x*m**2 + r and give x.
44
Rearrange -13*q**2 + 6*q**2 - 55*q**3 + 11*q**2 - 53*q**3 - 13 + 89*q**3 to c + v*q + j*q**2 + h*q**3 and give h.
-19
Rearrange (-3*y + 0*y + 4*y)*(-87*y**2 - 19749*y**3 - 4 + 9925*y**3 - y + 9821*y**3)*(0 + 4 - 3) to the form x + j*y + w*y**2 + g*y**4 + b*y**3 and give w.
-1
Express 1964*l - 27 + 114 - 42 - 45 as n + s*l and give s.
1964
Rearrange 4*u - 17*u**2 + 102*u**2 + 9*u**2 + 4*u**3 - 10*u**3 - u to the form s*u**2 + m + q*u**3 + i*u and give q.
-6
Express 539*r**2 - 3*r - 1628*r**2 + 544*r**2 + 545*r**2 - 635*r**3 in the form v + y*r + b*r**3 + j*r**2 and give j.
0
Rearrange (-1 - 20*c**2 + 1)*(-12667 + 24960 - 12494) to k*c + h + d*c**2 and give d.
4020
Express (-k**2 + 1 - 1)*(-2*k**2 - k**2 + 5*k**2) + k**4 + k**4 - k**4 + 21 + 811*k**4 + 11 - 34 + 3135*k**4 as s*k + p*k**4 + t*k**2 + i + c*k**3 and giv
|
{
"pile_set_name": "DM Mathematics"
}
|
1?
1
Let a(k) = 3*k + 5. Let y be a(-5). Let q = y + 20. Suppose 0 = -b - 2*g + q, 2*g + 2 = 2*b + 6. Which is bigger: b or 1?
b
Let x = -26573/876 + 365/12. Which is bigger: x or -1?
x
Suppose 9*c = -205 - 326. Are c and -69 unequal?
True
Suppose -4*y = 5*r + 47, -4*r - 31 = -0*r + y. Let u be (4/r)/((-18)/105). Which is smaller: u or 4?
u
Let s = -13.1 - -17.1. Is 10 != s?
True
Let c = -13.44 - -13.4. Is -1 at most as big as c?
True
Suppose 0 = -3*p - 48 + 6. Let r = -8 - p. Suppose 2*q = -4*m - 0*m - r, 0 = 3*q + 9. Which is smaller: m or 4?
m
Let q = 5 - 1. Let i be (-2)/(-3) - 132/(-18). Suppose 0 = -5*y + y + i. Which is bigger: q or y?
q
Let l be ((-9)/4)/((-135)/(-18))*2. Let v = l - -47/95. Are v and 1 nonequal?
True
Let t = 31 - 27. Let n = 1 - t. Which is greater: 2 or n?
2
Let h(g) = -106*g + 44. Let s be h(-1). Which is greater: 148 or s?
s
Let i = -19 + 23. Suppose i = 2*f - 0. Suppose 5*n = 4*b + 32, 3*b - f*n = 3*n - 29. Is 4 at most as big as b?
False
Suppose -5*u = 3*q + 3, -8 = q - 3*q. Let n(h) = h**2 + 4*h - 4. Let f = -15 + 11. Let d be n(f). Which is bigger: u or d?
u
Let i be (1/(-2))/(-7 + (-4422)/(-627)). Let c = 10 - 21. Which is smaller: i or c?
c
Let v = 4.833 - -0.287. Let g = -0.12 + v. Let l = g - 2. Is l at least as big as 2?
True
Let w = 0.1 + -0.4. Let u = 66.5 - 66.4. Which is greater: u or w?
u
Suppose -2668 = -61*y - 9378. Which is bigger: y or -106?
-106
Suppose 42 = 7*j - 0*j. Let r(z) = -33*z**3 - z**2 + z + 1. Let x be r(-1). Suppose -5*p + x = -2*a, 4*p + a - 23 = -0*a. Are j and p nonequal?
False
Let t = 2.09 - 0.09. Let s(l) = -l**3 - 10*l**2 - 17*l - 12. Let c be s(-8). Do t and c have the same value?
False
Let j = 17 - 15. Suppose j*d = 3*d + 1. Is d > 3/16?
False
Suppose -h + 15 = -7. Suppose 0 = -f - 5, 0*b - 5*f + 63 = 4*b. Is h bigger than b?
False
Suppose 5*v + 132 - 7 = 0. Let b = v - -30. Is b at most 5?
True
Let d be 12/(-4)*(-4 - -3). Suppose 3*u = 15 - d. Suppose -u*s = 3*w - 2*s + 1, 0 = -2*s - 4. Which is bigger: 1/19 or w?
w
Suppose -5*b + 113 = -9*b - m, -5*b - 135 = -5*m. Is -22 equal to b?
False
Let f be (0 + 2 - 3)*0. Suppose 45 = t + 4*t + 5*a, -2*a - 4 = f. Let p(d) = -d**3 + 3*d**2 + 2*d + 4. Let z be p(3). Which is bigger: z or t?
t
Let k = 126 + -139.1. Is 5 less than or equal to k?
False
Let a(g) = -g - 15. Let z be a(-18). Suppose -3*x = 3*p + 6, 2*p + x - 1 = -z. Which is bigger: p or 2?
2
Let d = 73 - 36. Is d smaller than -2/3?
False
Suppose 2*b = -2*q - q + 3, -5*b = 4*q - 11. Which is smaller: q or -56/31?
-56/31
Let r = 17.39 - 0.29. Let p = 1.1 - r. Let l = p - -17. Which is greater: l or -6?
l
Suppose -m = -5*v + 5, 0*m + 4*m = 3*v - 3. Suppose -j - 2*a - 6 = m, 5*j - 4*a + 38 = 2*j. Is j at least -4?
False
Let y = -1 + -18. Let v = y - -21. Let q be 1 - -1 - (v + -1). Do q and 24/11 have different values?
True
Let s be (-2*(-1)/(-3))/((-1)/(-3)). Let q be 3 - (22/8 + s + 2). Is -17/2 > q?
False
Let y = -26 + 18. Let r = y - -11. Suppose 0*m - 2*o = -r*m - 19, o = -5*m - 23. Which is smaller: m or -26/7?
m
Let v = 8 + 3. Suppose 4*i - 13 = 3*i + 5*s, 0 = -4*i - s - v. Is 0 greater than i?
True
Let z = -1 + 41. Suppose 3*x - z = 3*f + f, 2*x = f + 15. Suppose n + 3 = -3. Which is bigger: n or f?
n
Let u = -31.9479 - -0.0479. Let g = -32 - u. Is g equal to -15?
False
Suppose 3*j - 34*h - 703 = -32*h, 3*h = 4*j - 939. Is j smaller than 229?
False
Let r be ((-2)/6)/((-6)/(-36)). Suppose u + 4*u + 4*b + 4689 = 0, 0 = -4*u - b - 3760. Let f = 6569/7 + u. Are f and r non-equal?
True
Let h = -142028/19 - -7472. Let x = -1099/342 - h. Which is smaller: x or 0?
x
Let x = -822 - -7393/9. Which is smaller: -0.1 or x?
x
Suppose -p = -1 - 0. Let s(y) = -7*y**2 + y - 4. Let u be s(6). Let g = 5999/24 + u. Which is smaller: p or g?
g
Suppose -4*s = t + 59, 2*t = 2*s + 46 - 4. Let r(h) = -h**2 - 8*h - 3. Let a be r(-6). Let b be (s/3)/((-6)/a). Is 9 < b?
False
Suppose 2*i - 5*g - 21 = 0, -8 - 16 = -5*i + 3*g. Let q = 2 - i. Let d be q*(-3 + 17/6). Which is bigger: d or -1?
d
Let g = -19.52 + 20. Is 0.1 less than g?
True
Suppose -4 = -3*o + 86. Suppose o = 5*l + 2*s, 2*l + 0 = 2*s + 12. Which is greater: l or 4?
l
Let w = -537 - -539. Is -264 > w?
False
Let s(y) = y**2 - 2*y - 2. Let c be s(-2). Let h = 36285 + -36269. Which is greater: h or c?
h
Suppose -15 = -46*d + 41*d. Let w be ((-5)/10)/(d/16). Which is greater: -3 or w?
w
Let m = -1025/15141 + 2/309. Which is smaller: m or 0?
m
Let b be (1 + 0)*(15 + -9). Suppose 0 = -15*c + 9*c + b. Which is smaller: -1/10 or c?
-1/10
Let i(h) be the second derivative of 1/20*h**5 - h + 0 - 1/2*h**2 + 1/2*h**4 + 1/6*h**3. Let j be i(-6). Are -6 and j unequal?
True
Let n be ((-50)/15)/((-1)/3). Let q(l) = -l**3 + 11*l**2 - 9*l - 2. Let c be q(n). Let a = c - 9. Is a less than or equal to -1?
True
Let d = -122.9 + 96.9. Is d > 6?
False
Let c be (580/(-289) + 2)*(-9)/(-99). Which is smaller: 1 or c?
c
Let q(u) = 3*u + 20. Let b be q(8). Suppose -5*z + 3*n = -b, -39 = 4*z + 5*n - 89. Is 13 <= z?
False
Let n = 481/11 - 42941/979. Let m = 2/1335 + n. Are 1.5 and m equal?
False
Let u = -226 - -226. Which is bigger: -7/5 or u?
u
Suppose 0*q = 40*q. Which is bigger: q or -3/329?
q
Let j(d) = d**3 + 6*d**2 + 7*d - 1. Let i be j(-4). Let c be -1*i*(-2)/6. Which is bigger: c or 2/81?
c
Let g = 2772/13 + -795577/3731. Which is greater: 0 or g?
0
Let k be (-8)/(56/315) - 5. Is k bigger than -47?
False
Suppose 7 + 9 = -4*y. Let u = 4 + y. Suppose u = 2*p - p + 4. Is p at most -2?
True
Suppose -z + 22 = -3*d + 3*z, 0 = -3*z + 12. Suppose 4*h = -3*w - 1, 0 = w - 3*h - 3 + 12. Is d > w?
True
Let o be (-7)/((1 + 0)/(-3)). Let v = o + -35. Let f = 14 + v. Is 0 at least as big as f?
True
Let f = 430 - 1000. Suppose 6*t + k - 2 = t, -5*k - 20 = -5*t. Let z be (-215)/f - t/6. Are z and -1 nonequal?
True
Let g = 22 - 19. Suppose -g*d = d - 16. Is 0.2 greater than d?
False
Let j(t) = -7*t**2 + 9*t + 37. Let x be j(3). Which is smaller: x or 1/692?
1/692
Let n = -2677/9735 + 2/885. Let u be 0/(((-32)/(-4))/(-4)). Which is smaller: n or u?
n
Let c = -16 + 308/19. Let p = 87/38 + c. Let u be (-414)/230 + (-8)/(-10). Is p at most as big as u?
False
Let i be 6/(-20) - 6030/(-100). Is i at least as big as 63?
False
Let i = 203 + -74. Is i not equal to 1?
True
Suppose -8 + 0 = 4*a. Let n be 32/(-20) - a - (-21)/(-15). Which is smaller: -1/4 or n?
n
Let s(i) = -1 - 2 - 5*i + i. Let z(l) = -11*l - 10. Let c(r) = -8*s(r) + 3*z(r). Let q be c(4). Which is smaller: -1 or q?
q
Let t = -86/11 - -1787/33. Is t >= 46?
True
Let r be 6/12*(5 + 1). Let i be r + 1 + -13 + 12. Which is greater: -3 or i?
i
Suppose 0 = 4393*l - 4401*l. Let t = 36328/31 + -1172. Are t and l unequal?
True
Let i = 17 - 12. Suppose 3*l + i - 2 = 0. Let k = -29185/3 - -9727. Does l = k?
False
Let n be 3 + 0 - 12/(18/6). Let v be ((-18)/(-3) + -5)*(0 - n). Which is smaller: -19 or v?
-19
Suppose 2*c - 9 - 95 = -3*y, 3*y - 3*c = 129. Which is smaller: 36 or y?
36
Let x = -1 - -3. Let i = -70 - -69. Is i > x?
False
Suppose -20*g = -8*g + 12*g. Let z be (6/7)/(1*8). Is z at most as big as g?
False
Suppose -o = -0*o - 5. Suppose -o*m = -0*m. Suppose -3*i + h = -4, -3*i + i + 2*h + 4 = m. Which is smaller: -1/5 or i?
-1/5
Suppose 6*d + 150 = 3*d. Let q be 1/(1 + d/45). Are q and -7 unequal?
True
Let n = 1751751/149336 - -747/1697. Let d = n + -93/8. Is 0 bigger than d?
False
Let w = -3595 - -176137/49. Is -1 at least as big as w?
False
Suppose -6*w = -457 + 337. Which is smaller: w or 19?
19
Let d = 238233/8 - 29867. Suppose 0 = 15*o - 10*o - 440. Let s = d + o. Is 1 at most s?
False
Let w be 3 + ((-455188)/119140 - -1). Let l = 4/2553 + w. Let y = l + -7/15. Which is smaller: 0 or y?
y
Suppose 0*a + 9 = 3*a. Let m(j) = -5*j**3 + 14*j**2 + 3*j. Let w be m(a). Which is bigger: 1 or w?
1
Suppose 12 = 3*p - 5*b, -3*b = 3*p - 0*b - 12. Let y be 1 + p/1 + -3. Suppose -5*c + 14 = y*c. Is c at most as big as 8/13?
False
Let c(q) = 19*q**2 - 7*q + 15. Let y be c(6). Let z be -3 - ((-5254)/y + 5). Which is smaller: z or 1?
z
Suppose -310 = -3*o - 295. Suppose 8 = 3*u + 2. Let d be 1*(-1)/u*-7. Which is smaller: o or d?
d
Let h(i) = -i**3 + 2*i**2 + 2*i + 1. Let m be h(-1). Let r be (-102)/(-153)*(-5)/(-2). Do r and m ha
|
{
"pile_set_name": "DM Mathematics"
}
|
m = 4*f + 16, -13 = f - 5*m. Let k be (0/3)/(-2) + 2. Suppose -2*x = 3*u + 2*x + 11, x = -u - k. What is the closest to -1/2 in -1, f, u?
-1
Let t = 944 + -1015. What is the nearest to t in -2, -0.4, 1/5?
-2
Let t = 32 + -98/3. Let i be (-152)/(-28) - 9/21. Let a be (i/70)/((-2)/(-8)). What is the nearest to t in -3, a, 2?
a
Let w = -369 - -2955/8. Let z = 18 - 23. Which is the closest to -1? (a) z (b) 0.5 (c) w
c
Let x be (-51)/(2*(-12)/16). Suppose -5*b = 21 + x. Let m be (0/1)/(-9 - b). What is the nearest to -0.1 in 0.5, 1/4, m?
m
Let h = -17.899 + 20. Let i = -0.001 + h. Let k = i + -1.7. Which is the closest to 0.1? (a) 4 (b) k (c) 5
b
Let k = 30.9 + -31. Suppose -2*a + 4 + 2 = 0. What is the closest to 1/4 in a, k, -2?
k
Let g = 70 + -70.2. What is the nearest to -2 in 0.2, -2/9, g?
-2/9
Let x be (-3)/(-20) - 1/(-4). Let k(s) = s**3 + 11*s**2 - 14*s - 21. Let g be k(-12). Let p be g/24*(2 + -3)*2. What is the nearest to p in 2/17, -1, x?
2/17
Let z(s) = s**3 + 6*s**2 - 2*s - 7. Suppose 2*t + 36 = -5*x - 0*t, 5*x + 4*t + 42 = 0. Let f be z(x). Which is the nearest to -1? (a) 2 (b) -5 (c) f
a
Let c = 57.6 - 58. Let p be (-1)/(-30)*-22 - 4/(-12). What is the nearest to p in c, -0.5, -2/21?
c
Let p = -48 + 48.1. Let f = 22 + -21.9. What is the closest to p in -3, f, -5?
f
Let w = -5 - -4. Let g = 125 + -125.87. Let y = g + 0.57. Which is the closest to w? (a) -5 (b) y (c) 2/9
b
Let x = -19 - -11. Let t = x + 8.1. What is the closest to 3 in 0.4, -1/11, t?
0.4
Let x = 6 + -4. Let t be (-112)/(-616) - 51/99. What is the closest to 0 in 0, x, t?
0
Let p = 246 - 263. Which is the closest to 1/13? (a) p (b) -0.1 (c) -3
b
Suppose -3*s + 15 = -27. Suppose -13*r + s*r - 23 = 0. Let b = r - 25. What is the closest to 1/4 in 4, -1, b?
-1
Let h = 18 - 16.6. Let k = h - 1. Which is the nearest to -1? (a) -1 (b) -3 (c) k
a
Suppose -i - 2*i = 0. Let z be -5*10/15 + 3. Which is the closest to i? (a) z (b) -5 (c) 4/5
a
Let z = 1731 + -1727. Let v = 87/176 - 5/16. Which is the closest to z? (a) v (b) 3 (c) 1
b
Let h = 30 + -27.2. Let p = -3 + h. Let z = 3.732 + -3.732. What is the closest to 1/4 in 2/11, p, z?
2/11
Let o(t) = 28*t + 169. Let j be o(-6). What is the closest to 0.2 in -2, j, 1.2?
j
Let j = -1/58 + 121/290. Let m = -1/12 - 1/4. What is the nearest to j in m, 4, 0.2?
0.2
Let o be ((2 + 0)*-1)/(4 + 3). What is the nearest to -2/5 in -2, 0.3, o?
o
Let d = 0.4679 + 0.0321. What is the closest to 2/7 in d, -1/8, -4, -3?
d
Let t be (4/(-9))/(68/(-6)). Let x = 17106.5 + -17107. What is the nearest to 1 in x, t, 2/9?
2/9
Let m be 2/6 + (-12)/27. Let u = m + -2/9. Let l = 3.11 - 3.11. Which is the closest to l? (a) -2 (b) u (c) 2/11
c
Let u = -354 + 6020/17. Which is the nearest to -0.1? (a) 0.1 (b) 1 (c) u
a
Let l = -49 + 197/4. Let m be (-22)/33*3/(-7). Let n = 1.1 + -1.3. What is the closest to l in 2/3, n, m?
m
Let x = -1/7 - 3/28. Let z be ((-14068)/(-22) - 1) + 0. Let u = z - 639. What is the closest to x in -2, 0.2, u?
u
Let u = 7952.7 - 7953. Let d = 0.8 + 0.2. Let h = 2 + d. What is the nearest to 0.1 in 2/3, h, u?
u
Let w = 640 - 640.5. Which is the nearest to 2/173? (a) -3 (b) w (c) 0.4
c
Let s = -0.535 - 0.465. What is the closest to -1/44 in -4, s, 0.4?
0.4
Let u = -0.2376 - -0.0876. Which is the closest to -1/6? (a) u (b) -5 (c) -2/5 (d) 5
a
Let x = -28.7 + 29. Let l = 0.6 + -0.9. Let w = 0.2 + l. What is the nearest to w in 0, x, 0.4?
0
Let h = -62/55 - -8/11. Suppose 0 = 3*k - 7*k - 2*p, -2*p = 3*k + 1. Let y be (49/343)/((-1)/(-7)). Which is the nearest to y? (a) h (b) k (c) 0.3
b
Let t(c) = -c**3 + 2*c**2 + 13. Let i = 84 - 81. Let k be t(i). What is the nearest to -0.2 in k, 0, 1/6?
0
Let j(v) = v**3 - 9*v**2 - 8*v - 12. Let s be j(10). Let t be (-3)/9 + s/6. Which is the closest to t? (a) 2/3 (b) -0.1 (c) 5
a
Suppose 2*o - s = -0*s - 16, 8 = 2*s. Let k = -40 + 31. Let n be (-3)/o*6/k. Which is the closest to -0.1? (a) -2/5 (b) n (c) -0.5
b
Let k = -0.6 + 0.9. Let x be ((-64)/3)/(2/(-4)). Let d = x - 44. Which is the nearest to -0.1? (a) 1/4 (b) d (c) k
a
Let j = 1.088 - 0.688. What is the closest to -16 in 4, 3, j?
j
Let w = -3.864 + -0.136. What is the nearest to -12 in w, 1, -1?
w
Let v = -1973 - -1969. What is the nearest to 0.036 in -3, 5, v?
-3
Let l = -0.6 - -0.3. Let g = -14.9 + 13.9. What is the closest to 3 in g, 4, l?
4
Suppose 2*o = -10, z - 2*o = 7 + 6. Let u be z/(-6) + 8/64. Which is the nearest to -2/5? (a) -0.2 (b) -0.4 (c) u
b
Let k = 2152.3 + -2152. Which is the nearest to -1/4? (a) 0 (b) 185 (c) -4 (d) k
a
Let f = -5.17 - 0.83. Which is the nearest to -10? (a) 3 (b) f (c) -0.5
b
Let r = -2 + 5. Suppose 5*x = p - 4*p - 9, p + r = 2*x. Let o be (p/54)/((-2)/(-8)). What is the closest to -2 in 2/7, -0.2, o?
o
Let h = -553.4 - -553. Which is the nearest to 8? (a) 2 (b) h (c) 3/4
a
Let m = 6447 + -6452.013. Let h = m - -0.013. Which is the closest to 0? (a) h (b) 4 (c) -0.3
c
Let t = -1855 + 1854.8. What is the nearest to -2 in t, 0.2, -5, 3/4?
t
Let u = 588 + -591. Which is the nearest to u? (a) 0 (b) -2/31 (c) -0.1 (d) 0.3
c
Let s be 2/(-4)*(-278)/3. Let u = s + -47. Let t be (-9)/12 - (108/(-16) - -4). Which is the nearest to u? (a) 5 (b) 4 (c) t
c
Let a be 6/5*(-20)/6. Let s = -1 - -1.1. Let y = 514 - 511. What is the closest to s in y, a, -0.2?
-0.2
Let z be 424/728 + (-4)/26. What is the closest to -2 in -0.1, -1, z?
-1
Let p = -2 + 2. Suppose z - 9*z = -32. Suppose -2*k - k = -z*k. Which is the nearest to p? (a) 4 (b) k (c) -5
b
Let x = -0.117 + 0.017. Which is the closest to -1? (a) -2/5 (b) -1 (c) 0.3 (d) x
b
Suppose h - 6*h = 50. Let f be 34/(-14) - (0 + -4 - -2). What is the nearest to 1 in f, h, -5?
f
Suppose -15 = -p - 4*r, -43*p + 39*p - 2*r - 10 = 0. What is the nearest to -1 in 2/11, -0.4, 1/19, p?
-0.4
Let b be ((-99)/(-63))/(3/16). Let n = -26/3 + b. Let i be 8/70 - 4/10. What is the nearest to i in n, -0.4, -1/6?
n
Suppose 0 = 3*l - 14 - 1. Let v be -18*l/35 - -3. Which is the closest to 1? (a) -4 (b) 0.4 (c) v
c
Let t = -59 + 59. Let x = 70 - 130. Let r be 34/x + 2/12. Which is the closest to t? (a) -2/7 (b) -2 (c) r
a
Let k = -24.8 - -26.8. Which is the nearest to 12? (a) -2 (b) -2/3 (c) k
c
Let u(w) = w**2 - 5. Let m be u(2). Let q = 1/144 - -427/720. Suppose -6*l + 2*l = -16. What is the closest to m in l, -1/2, q?
-1/2
Let f = -0.0816 - 1.9184. Let r = 0.85 - 1.2. Let p = r - 0.05. Which is the nearest to 1? (a) p (b) f (c) -0.5
a
Let b be ((-5)/4)/(2/8). Let r = 0.2686 + 0.2314. What is the nearest to -2/3 in b, -6/7, r?
-6/7
Suppose -3*s - 80 = x, -2*x = -6*x - 8. Let v = s + 29. Which is the nearest to -0.1? (a) 2 (b) -3/5 (c) v
b
Let h = -330 + 335. Which is the closest to -156? (a) h (b) 2 (c) -0.3
c
Let z = -839 - -840. Which is the nearest to z? (a) -2 (b) 67 (c) -1
c
Let z = -0.018 - 0.782. Let l = 19 - 15. What is the closest to z in l, -1, 3?
-1
Let c = 0.4 - -0.1. Let q = 1.76 + -1.76. Let m = 0.02 - -1.98. What is the closest to m in q, c, -3?
c
Let j = 3.07 - 0.07. Let h = j + -4. Let p = -3.536 + 2.536. What is the nearest to p in h, 1/2, -5?
h
Let s be 1/(-12)*(-14 + 11). Let z = -152/279 + 10/31. Let i be ((-16)/6 - -2)/2. Which is the closest to i? (a) -1 (b) z (c) s
b
Let q = 0.74 - -22.26. Let d = q - 24. Which is the closest to 2/7? (a) -0.06 (b) d (c) -0.5
a
Let i = 1.8 + -3.8. Let b = -12 + 11. What is the nearest to -40 in b, 4, i?
i
Let t(s) = -s**2 + 22*s + 44. Let i be t(24). Let m = -0.19 - -2.19. Which is the closest to m? (a) 4 (b) i (c) -3/4
a
Let z = 955 - 956. Let t = -15139/43 - -352. Let m = t - -113/387. What is the closest to z in -0.5, -0.3, m?
-0.5
Suppose 4*k = -2*k + 18. Let h = k + -5/2. What is the closest to h in -0.2, 5, -0.1?
-0.1
Let g be 3 + (-9)/12 + (-51)/68. Let m = 6.5 - 4.6. Let w = m + -2. Which is the nearest to -2/3? (a) g (b) w (c) 3
b
Let m = 58.08 + -58. Let u = m - -0.92. Which is the nearest to -0.6? (a) -2/3 (b) -0.3 (c) u
a
Let h = 8 + -4. Let f = 308.9 + -308.5. What is the closest to 0 in f, 0, h?
0
Let g = 1 + -1.5. Let u = 3.95 + -3.9. Let q = u + 4.95. Which is the nearest to -0.1? (a) g (b) 4 (c) q
a
Let v =
|
{
"pile_set_name": "DM Mathematics"
}
|
Let i be v(-8). Let m = 9 - 15. Let l(p) = p**3 + 7*p**2 + 6*p + 1. Let x be l(m). Solve o = -5*u + 16, i*o + x = 6*o - u for o.
1
Suppose 0 = 3*u, 4*p - u + 0*u - 20 = 0. Solve -2*x - x - 2*t - 10 = 0, -p*x = 5*t + 15 for x.
-4
Suppose 0 = 2*g - 3*g. Let p be 5 + g*4/8. Solve k - f - 2 = 6*k, -3*k + 10 = -p*f for k.
0
Let q = -6 + 8. Suppose m = 2*m - 6. Let r be m/(-14) + (-217)/(-49). Solve -5*z + q*t + 12 = -1, -r*t + 19 = 5*z for z.
3
Let n(k) = k - 2. Let j be n(6). Solve -4*y - 1 + 5 = j*h, 0 = -5*h + 3*y + 37 for h.
5
Let l(n) = -n**2 - 9*n + 5. Let u be l(-9). Let j be (0 + 2)*(-12)/(-8). Solve -4*g - u*q = 17, -6*g + 3*g + 21 = -j*q for g.
2
Suppose 0 = -4*x + 1 + 7. Let s be x/(-2 - (-15)/6). Solve -3*m - 5*k = -17, 3*m - 4 - s = 4*k for m.
4
Let w = 17 + -11. Suppose 3*h = 3*d + 3 + 3, -3*d = -h + w. Solve h = -4*b - 4*n + 16, 0*n + 4*n = -b + 4 for b.
4
Suppose b + 8 + 0 = 2*c, -2*c + 4 = -3*b. Solve 2*a + 11 = -5*q, -5*a + 2 + 2 = b*q for a.
2
Let d(t) = -t**2 + 1. Let s be d(1). Let f = 31 + -31. Solve f = 5*a, -4*x + 3*a + 1 - 5 = s for x.
-1
Suppose 4*z + 5*g - 41 = 0, 0*z + z - 4*g - 5 = 0. Suppose 3*v + 0*v + 5*w = 35, -v - w + z = 0. Solve v*u + 4*q = -10, u + 10 = -4*u - 5*q for u.
-2
Let l = -7 + 21. Let x be 10/6*((-28)/(-4) + -4). Solve -5*p + l = -2*c + 39, -p - x*c - 5 = 0 for p.
-5
Let n(x) = 2*x - 6. Let o be n(7). Suppose -2*w = o, 2*w + 18 = c - 2*w. Solve 0 = c*m - 3*y - y + 22, y = -2*m - 7 for m.
-5
Let z(v) = -2*v - 3. Let g be z(-7). Suppose -26 + g = -5*r. Let p(m) = -m**2 + 3*m + 2. Let y be p(3). Solve -t + 5 = -n, -3*t = -n - y - r for n.
-5
Suppose r = -2*b - 5, 2*b + 0 - 7 = -5*r. Let y be (-3)/((-42)/b)*-14. Solve 4*m + y = -4*c, 3*c - m = 4 + 13 for c.
4
Let q be (-2)/9 - (-376)/72. Solve 2*k = -3*w + q, -k + 4*w - 1 - 2 = 0 for k.
1
Let m = 16 - 14. Let b(o) = -2*o + 4. Let l be (-25)/4 - 1/(-4). Let n be b(l). Solve -2*p = v + 2*v - 1, -n = m*v - 2*p for v.
-3
Let r = -2 - -18. Let v = r - 12. Solve -5*k + 3 = -2*i, v*k - 14 = 3*i - 6 for i.
-4
Let k(n) = -2*n + 23. Let v be k(10). Solve -v*x = -8*x + 2*z + 23, 2*z = -x - 5 for x.
3
Suppose 3*m - 5 + 5 = 0. Solve -5*a - 5*b + 50 + 0 = m, -5 = -b for a.
5
Let o be 28/(-10)*(-45)/18. Suppose o - 2 = k. Solve 5*d - 2*w + 9 = w, -5*d - k*w = -15 for d.
0
Let i = 0 + 2. Let p be 15/(-2)*(-6)/9. Suppose -p*d + 7 = -3. Solve m - 8 = -m - i*r, -d*m = -4*r + 4 for m.
2
Suppose 4*h = y - 3, 13 + 30 = 3*y + 5*h. Solve 2*f + 3*j + 1 - 2 = 0, -f + 2*j = -y for f.
5
Let s(w) be the third derivative of -w**6/120 - w**5/15 - w**4/6 - 8*w**2. Let m be s(-4). Solve z + 14 = 5*r - 2, 0 = 3*z + r - m for z.
4
Suppose -4*z + 2*f + 12 = 0, -14 + 5 = -3*z + 3*f. Let j be (1/(-2))/(z/(-6)). Suppose 0 = -5*a + 9 + j. Solve -5*q - 3*o - 4 = a, q = -5*o - 10 for q.
0
Suppose -2*h - 8 = -4*h. Let p be h/12 + (-1)/3. Solve 0 = -f - p*f + 3*c + 7, 0 = f - 5*c - 15 for f.
-5
Let d(o) = -o**3 + 6*o**2 + 5*o + 16. Let y be d(7). Solve w + 20 = -y*x - 3*x, 2*x - 4*w + 30 = 0 for x.
-5
Let w = -15 - -17. Solve v + 2*j = 2, 0 = -5*v - w*j + j + 1 for v.
0
Suppose 0 = -o - 4*o. Let n be (0/2)/(o - 2). Let u = n + 9. Solve 5*y + 62 = -4*z + 21, 5*y - 4*z + u = 0 for y.
-5
Let r be (4/6)/(-1)*-3. Let u = 14 - 10. Suppose 0*v + u*v = 16. Solve -2*x - g = -7 - 0, v*g = -r*x + 10 for x.
3
Suppose -2*l = 3*w - 16, 3*w - 4 = 2*l + w. Let f be (29 - (l - 2))*1. Solve -5*s + f = 2*m, -5*s - 3*m + 4*m = -23 for s.
5
Suppose q = 5*q - 12. Suppose 2*a - q*a = 0. Solve -v - 8 = -4*p - 20, -3*v - 5*p + 2 = a for v.
4
Suppose 2*c = -4*z + 30, -6*c - 40 = -2*z - 2*c. Solve 14 = -4*b - 4*r - 10, -z = 2*r for b.
-1
Suppose 0 = -0*g + 4*g - 5*l + 9, -g + 2*l = 3. Let w(f) = -19*f + 1. Let u be w(g). Solve u = 4*s, 10 = 3*t + 3*s - s for t.
0
Let q be 2/(-3)*(-54)/4. Suppose -5*r + 5 = -4*r. Solve -r*u + 4 = 2*o + 25, 0 = -3*o - q for u.
-3
Suppose 3 = -d + 17. Suppose 2*t = 5*g - d, 3*g - g = t + 6. Solve -j = -5*s - 16, -j + s + 6 = g*j for j.
1
Let z(j) = 2*j + 4. Let n be z(-2). Solve -4*x = 2*i, i - 12 = -n*x + 4*x for i.
4
Suppose 8*o = 3*o. Solve -2*h + 13 = -3*x, h - x = 4 - o for h.
-1
Suppose -14 = -5*z + 1, k + 4*z = 15. Let l(v) = v**2 + v - 2. Let j be l(k). Solve -3*o - 2*n = j, 2*o = -2*n + 3*n - 2 for o.
-2
Suppose 0 = -4*a - j - 4*j + 72, -2*a + 2*j = -18. Let o = 23 - a. Solve -3*x = i - o, x - 2*x + 3*i = -10 for x.
4
Let b be 26/7 - 4/(-14). Let n be (-780)/(-55) + (-4)/22. Solve -2*l - 3 = a, -l + b*a - 38 = -n for l.
-4
Suppose a + 2 = 0, -2*a + 2 = 2*i - 0*i. Solve -3*j + i = 5*s - 5, 0 = -s + 4*j + 20 for s.
4
Let m = -7 + 12. Suppose -o + 27 = 2*g, 3*g + m*o = g + 7. Let s(l) = l**3 - 7*l**2 + 4*l - 24. Let f be s(7). Solve 0 + g = k - f*h, -4*k + 12 = -3*h for k.
0
Suppose -5*r = 4*u - 2, -2*r - 3*u - 6 = 2*u. Solve 3 + 5 = -o + 4*l, -r = -2*l for o.
-4
Let m be 4/6*18 - 3. Let a = 14 - m. Solve 0 = 5*f - 2*f - 4*c - 16, f - 20 = a*c for f.
0
Let p = 17 + -19. Let y be 4/p - (-8 + 6). Solve -j = -y*j - 3*g + 4, 4 = -3*j + 5*g for j.
2
Suppose 0 = 2*l - 4*q - 38, 3*l - 2*q = -2*l + 63. Let g(f) = -f - 7. Let y be g(0). Let k = l + y. Solve 0*b + 20 = -4*b - 4*o, 0 = -k*b + 3*o - 6 for b.
-3
Let z be 0 + (4 + -6)*-1. Solve -5*l - 5*x - 5 = 0, -1 = 2*l + z*l + 3*x for l.
2
Let h be 1*19 + (-2 - 0). Let f be 0 + 2 + 12/4. Suppose 0 = f*d - d - 12. Solve 0 = -5*n + r + h + 1, -r = d for n.
3
Let w(b) = 7*b. Let v = 2 - 1. Let a be w(v). Suppose 0 = -0*d - 5*d. Solve -i + d*i = -1, 4*i = -p + a for p.
3
Let n be 1 - 4*(1 + -2). Suppose -h + 2 = -b, 3*b - n*h = 2*b - 10. Let a be ((-10)/2)/(0 - 1). Solve f - 2*c = 7, b*f + f + a = -c for f.
-1
Let a be ((-22)/6 - -3)*-15. Suppose -t = t - a. Solve -c = g - t*c + 15, 45 = 4*g + 5*c for g.
5
Let g(a) = 2*a + 46. Let w be g(-16). Let k = 13 + -8. Suppose k*r - w = -4*n, n + 2*n - 7 = -2*r. Solve r*m - 3*u + 28 = -2*m, 2*m - u = -12 for m.
-4
Suppose 5*k + 35 = 4*s, 5*s - 3*k - 55 = k. Solve -4*u - 4*i - 13 = s, -2*u - i - 9 = 0 for u.
-2
Let q = -50 + 53. Solve u + 9 = q*x, 3*u + 1 + 2 = -3*x for u.
-3
Let w(u) = -u**3 + 4*u**2 + 2*u - 4. Let j be w(4). Solve 3*p + 13 = l, j*p + 23 - 2 = 5*l for p.
-4
Suppose -i = 2*b + 3, -3*i = -5*i - 10. Let s be 3 - ((-6)/2 + b). Solve -g = s*o + 4 - 10, -3 = -5*g + 2*o for g.
1
Let s be ((-8)/3)/((-2)/3). Solve 2*p = v + 4, p = -2*v + 4*v - s for v.
4
Let f(w) = -w - 3. Let z be f(-7). Solve -3*v - 1 = -2*t + 3, 4*t + 32 = -z*v for v.
-4
Let h = 0 - 2. Let u be (-164)/(-12) + h/(-6). Suppose 0*w = -w + u. Solve 0 = 5*g - g - 2*t + w, 2*g - 4*t = -22 for g.
-1
Let c = -4 + 6. Suppose -16 = -4*q + 2*y, -c*y - 14 = 4*q - 7*q. Let s(u) = 2*u**2 - 5*u + 5. Let g be s(2). Solve 0 = g*t - 15, -q*b - 3*t + 10 = -3*b for b.
5
Suppose 0 = 3*i + u - 78, 3*u = -0 + 9. Suppose 11*k + 5*k - 96 = 0. Solve 5*v = 4*h - 2, -5*h + v = k*v - i for h.
3
Let g(t) = -t + 15. Let u be g(12). Solve -u*h - 18 = v, -2*h - 2*v + 3*v = 7 for h.
-5
Suppose 2*c = -3*c + 30. Suppose -c*z + 4*z = -4. Solve 0 = 3*v + z*j + 25, 2*v + 3*j + 9 = -16 for v.
-5
Suppose -3*o + 2 = -2*o. Solve -6 - 2 = 4*s - 4*w, -o*w = 2*s - 4 for s.
0
Let l(i) = i**2 - 7*i - 5. Let f be l(10). Solve -2*a + o + 0*o + 8 = 0, 0 = -5*a + 5*o + f for a.
3
Let h(a) = a**3 + 8*a**2 - 3*a + 2. Let t be h(-8). Solve -t = 2*i - 6*i + 5*g, 3*i - 14 = g for i.
4
Suppose -k = 2*k - 3*m - 39, -2*m = 6. Let q(v) = -v**3 - 4*v**2 + v. Let s be q(-4). Let u = s - -6. Solve 3*a - a = -4*g - k, 0 = -u*a + 3*g + 4 for a.
-1
Let n = 13 - -2. Let q(r) = -2*r - 7. Let y be q(-9). Suppose 4*p = -5*c + 12 - 5, -2*c = -3*p + y. Solve n = m + 3*m - k, -5*m = 4*k - p for m.
3
Let l(z) = z**3 + 6*z**2 - 8*z + 5. Let m be l(-7). Solve -3*o - m = -3*h, -5*h + 21 = -3*o - 1 for h.
5
Let m be 96/52 - 2/(-13). Solve 0 = -5*j, 1 = -m*d + d + j for d.
-1
Let g be -2 + 5 + (-2 - (0 + -1)). Suppose -l = y - 6, -2*y + 57 = 3*y - 4*l. Solve c + 2 = g*j - 1, 3*c = -y for j.
0
Suppose 5*o + s - 39 = -s, -5*o - s + 37 = 0. Solve -5*a + 17 = o, f = a - 2 for f.
0
Let o = -14 - -9. Let j = o + 10. Suppose 3*q = -j*z - 9, 1 = -2*z - q - 2. Solve 4*f - a - 12 = 0, 4*f - 3*a - 4 = -z*f for f.
4
Let t = 14 + -23. Let h be (84/t)/(1/(-3)). Solve -6 = -2*b, -4*g + 1 = -5*b + h for g.
-3
Suppose 3*q =
|
{
"pile_set_name": "DM Mathematics"
}
|
/sqrt(2)) + 2).
-2 + 49*sqrt(13)/15
Simplify (5 + (-5 + sqrt(75))*1 + -1 - (2 + (sqrt(75) + sqrt(75) + 2 - sqrt(75)) + -5*(sqrt(75) + -1 + sqrt(75)) + -1))**2.
-900*sqrt(3) + 7581
Simplify 1 + (5*(-1*sqrt(30) - sqrt(30)))/sqrt(10) - (sqrt(6) + sqrt(6) + (sqrt(96)/sqrt(2))/sqrt(8))/((sqrt(2) - (sqrt(2) - sqrt(32)))*-3).
-39*sqrt(3)/4 + 1
Simplify ((5 + sqrt(153) - (sqrt(17) + (3*sqrt(17) + sqrt(17) - sqrt(17))*1) - (4 + sqrt(1700)*1*-4))*-2)**2.
312*sqrt(17) + 103432
Simplify 1*(6*(5 + 5*(-2 + sqrt(192))))**2*-1.
-173700 + 14400*sqrt(3)
Simplify (-3 + -1*(1 + sqrt(405)) + 0 + sqrt(405) + 4 + -4 + -4*(sqrt(5) - sqrt(5)*-1) + -2)**2.
96*sqrt(5) + 356
Simplify (6*2*sqrt(104)*3*5)/(2*sqrt(800)*1*2).
9*sqrt(13)/2
Simplify (1*-5*(((sqrt(27) - sqrt(3)) + 0)*1 - -5*(sqrt(27) + 0))*-1)**2.
21675
Simplify (sqrt(6336) + 1)**2 + (sqrt(5324)*-3 - sqrt(44)) - ((1*sqrt(44)*2)**2 - (sqrt(44) + sqrt(176) + 1 - sqrt(44)))*-3.
-32*sqrt(11) + 6862
Simplify ((sqrt(102) + 4*((sqrt(102) - sqrt(102)*-1) + sqrt(102) + sqrt(102) + sqrt(102)))*4*1)/((sqrt(2646)*2 + sqrt(2646) + sqrt(2646) + sqrt(2646))*-3)*6.
-8*sqrt(17)/5
Simplify (2*(sqrt(882) - -6*1*sqrt(882)))/(((sqrt(108)*1 - sqrt(108))/sqrt(2) + sqrt(54))/(sqrt(96)*5)).
1960*sqrt(2)
Simplify (3 + -4 + 1*(sqrt(704) + -3) + sqrt(704)*-2*-5 + 1 + -4)**2.
-1232*sqrt(11) + 85233
Simplify (-3*-6*((sqrt(567)*-2*5 - sqrt(567)) + -4 + (sqrt(700) - (sqrt(700) - 2*sqrt(700)) - ((sqrt(84)*-2 - sqrt(84)) + sqrt(84))/sqrt(12)) + 5))**2.
-49896*sqrt(7) + 13447296
Simplify (sqrt(108)/(sqrt(144)/sqrt(4)) - (sqrt(432) + -1*sqrt(432)*3))/((sqrt(128)*1 + sqrt(8))/(sqrt(128) + sqrt(2))).
45*sqrt(3)/2
Simplify 4*((sqrt(275) + -1 + 1)**2*5 - ((-6*(sqrt(275) + 2 + sqrt(275)) - sqrt(275)) + 3)**2).
-180724 - 4680*sqrt(11)
Simplify ((3*((2*sqrt(110)*-2 - sqrt(110)) + -5*-2*sqrt(110)))/(((sqrt(100)*-2)/sqrt(10) - (sqrt(360) + sqrt(360)*2 + sqrt(10)))*4)*-5)**2.
6875/784
Simplify (-1*(4*(sqrt(1500)*1 - sqrt(1500))/sqrt(12) + (sqrt(875)*-1 - sqrt(875))/((sqrt(252) - (sqrt(252) + -1*sqrt(252))) + sqrt(7))))**2.
500/49
Simplify 5 + ((((-1*sqrt(231))/sqrt(7))/(sqrt(11) - 2*sqrt(44)/sqrt(4)))**2 - -1*(sqrt(75) - (-2 + sqrt(75)*-2))).
10 + 15*sqrt(3)
Simplify -2*(-1 + sqrt(1100))**2 + 2*(1 + sqrt(1100))**2 + ((2 + (1 + sqrt(1100))*4)*-2)**2.
2000*sqrt(11) + 70544
Simplify -1 + -1*(5 + 5*(-3 + (sqrt(1900) + -2)*6)*-5).
-381 + 1500*sqrt(19)
Simplify (3*sqrt(378) - -3*sqrt(3402))/((sqrt(384) - (-2*sqrt(384) - sqrt(384))) + sqrt(864)*3).
9*sqrt(7)/17
Simplify ((sqrt(6)/(sqrt(8)/sqrt(4)) - sqrt(3))*6 + 5*(sqrt(75) + sqrt(75)*-2) - (5*(sqrt(216) - (-2*sqrt(216) - sqrt(216))))/(sqrt(24)/(sqrt(12)/sqrt(4))))**2.
21675
Simplify (-4*1*((1*sqrt(2000))**2 + -1 - sqrt(2000)) + 5)*6 + 5.
-47941 + 480*sqrt(5)
Simplify (((sqrt(126)/sqrt(3)*6)/(sqrt(2)*-1*4))/(6*sqrt(84)/(sqrt(108)*6 + sqrt(12))))**2.
1083/16
Simplify 2 + (sqrt(175)*-1*-5 + 6*(-1 + sqrt(175)) - (-3*(-2 + sqrt(175) - sqrt(175) - sqrt(175)) + (sqrt(175) + 0)*-3))**2.
-1320*sqrt(7) + 21321
Simplify -1*-3*(1 + ((1 + sqrt(637))**2 + sqrt(637) + 4)*2) + -3.
126*sqrt(13) + 3852
Simplify 6*(-1*-2*sqrt(176) - 6*(sqrt(11)*1 + sqrt(11) + -3)**2)*-1.
-480*sqrt(11) + 1908
Simplify 1*(0 + sqrt(272) + sqrt(272) + sqrt(272) + 0) - ((sqrt(272) - 4*((sqrt(272) + 2)**2 - sqrt(272))) + 1).
56*sqrt(17) + 1103
Simplify 1 + (sqrt(2057)*3*-5 + sqrt(2057))**2 - ((sqrt(34) + sqrt(34) + sqrt(272)/sqrt(8))/sqrt(2) + (1 + sqrt(17) + -1)**2).
-3*sqrt(17) + 403156
Simplify (4*(5 + 6*(sqrt(325) + 1) + 1) + 3)**2.
12240*sqrt(13) + 189801
Simplify (5 + 2*-1*sqrt(99))*4 - 6*-2*sqrt(396)*2*-6.
-888*sqrt(11) + 20
Simplify (-5 + (1*sqrt(1331)*-1 + -2 + 0 + sqrt(1331) - (1 + (sqrt(1331) + 3)*5)))**2.
2530*sqrt(11) + 33804
Simplify (1*1*(sqrt(2200) - -3*sqrt(2200)))/(3*1*(-3*sqrt(4))/sqrt(2)).
-40*sqrt(11)/9
Simplify -3 + 2 + (5*(sqrt(605)*1*-4 + (sqrt(605) - (sqrt(605) - (sqrt(605) - (-1 + sqrt(605) + -1 - sqrt(605)))))))**2 + 5.
-3300*sqrt(5) + 136229
Simplify (((1*sqrt(108))/sqrt(9))/((-1*sqrt(33))/sqrt(11)))/((sqrt(88)/(sqrt(22)/sqrt(2)) + sqrt(8))/(6*sqrt(4)*1)).
-3*sqrt(2)
Simplify ((4*sqrt(119)*3 + sqrt(119))/(sqrt(70)/(3*sqrt(10))) - 5*(1*sqrt(153)*-4 + sqrt(153))*-4)**2.
337977
Simplify sqrt(2)*-2 + -5 - -2*(1 + sqrt(2))**2 - -1*2*(sqrt(200) + 0)**2.
2*sqrt(2) + 401
Simplify -1 + (sqrt(891) + (sqrt(891) - (-1*sqrt(891) + -2)))**2*-2 + 2 + (-5*(sqrt(891)*1 - sqrt(891)))**2 + 3.
-16042 - 216*sqrt(11)
Simplify (sqrt(77) + 2*5*sqrt(77) + 5*(sqrt(77) + 5*sqrt(77)))/(-1*4*((sqrt(1100)*-4 - sqrt(11)) + sqrt(11))).
41*sqrt(7)/160
Simplify (2 + (((sqrt(108) + 2)*4 + -1)*-3 - (-4 + 5*2*-2*sqrt(108))))**2.
-1440*sqrt(3) + 7137
Simplify -5 + (2*sqrt(275))**2 - (sqrt(66)/(sqrt(18)/sqrt(3)) + -4) - ((sqrt(1584) + 1)*-5 - (sqrt(33)/(1*sqrt(75)))**2).
59*sqrt(11) + 27611/25
Simplify (sqrt(1331)*2)**2 + -2 + sqrt(55)/(1*sqrt(320) + sqrt(320)) - ((-5 + sqrt(539)*-2*-4)*6)**2.
-1237434 + 322561*sqrt(11)/16
Simplify (sqrt(1584) + 2)*6 + -5 - 5*(5 + sqrt(1584)*-1).
-18 + 132*sqrt(11)
Simplify (1 + ((sqrt(132)*2 - sqrt(132))*1 + ((sqrt(132) + (sqrt(132)*-1 - sqrt(132)) - sqrt(132)) + sqrt(132))*-1)/((-1*sqrt(144))/sqrt(3)))**2.
-2*sqrt(11) + 12
Simplify ((1*sqrt(48)/sqrt(4))/(sqrt(96) + sqrt(96)*1 - sqrt(96)))**2*-3 - (-3*1*sqrt(24))/(sqrt(24)/sqrt(2)*3).
-3/8 + sqrt(2)
Simplify -1*((sqrt(162) - ((sqrt(162) + 0)*2 + sqrt(162)) - (0 + sqrt(162) + -3))*4 + -1).
-11 + 108*sqrt(2)
Simplify (((sqrt(153) + 1 + 2 - (0 + sqrt(153))*5)*-6 + (sqrt(153) + 0 + sqrt(153) + sqrt(153) + 4 + sqrt(153) + 1)*3)*-2)**2.
-2592*sqrt(17) + 793188
Simplify (-4 + (0 + sqrt(2448))*2 + 3 + 0 + (sqrt(2448)*2 + 2 - (-5 + sqrt(2448)*1)) + 4)**2.
720*sqrt(17) + 22132
Simplify ((6*sqrt(192)/sqrt(4) - sqrt(48) - (0 + sqrt(48) + 3 - sqrt(48)))**2 + 6*-1*sqrt(108)*1)*5.
-780*sqrt(3) + 6045
Simplify 1*sqrt(847)*-5 + -1*(sqrt(847) + (sqrt(847)*2)**2) + sqrt(847)*-2*-5 + -2*((sqrt(847)*2)**2 - sqrt(847) - sqrt(847)) + 4.
-10160 + 88*sqrt(7)
Simplify -2*(1*(5 + (1 + sqrt(1331))**2) - (5 + sqrt(99)/(sqrt(729) + sqrt(729)*3 + sqrt(9)))).
-2664 - 1626*sqrt(11)/37
Simplify -5*(sqrt(11) + (sqrt(11) - sqrt(33)/sqrt(3))**2 + 5 + sqrt(77)/(sqrt(7)*2))*6 + 1*(sqrt(891) + ((0 + sqrt(891))*-1)**2)*4.
-9*sqrt(11) + 3414
Simplify ((0 + -1*(sqrt(19) + (sqrt(684) - sqrt(19))))*-6 + -5 + (-4*sqrt(684) + sqrt(684) - sqrt(684)) + 4)*-3.
-36*sqrt(19) + 3
Simplify 2 + (4*((sqrt(7) + 3)*-2 + -4))**2 + (((sqrt(343) + 1)*-2)**2 - sqrt(343))*-6.
-6206 + 346*sqrt(7)
Simplify (-5*(2 + 2 + sqrt(243) + -2 + 3 + 0) + 3)**2.
1980*sqrt(3) + 6559
Simplify ((4 + -4 + (6*(sqrt(170) + sqrt(170)*1))/(-1*sqrt(50)/sqrt(5)))*-4)**2 + -2.
39166
Simplify ((1*sqrt(1331) + sqrt(1331) - sqrt(1331)) + sqrt(99)/(sqrt(18)/sqrt(2)) - ((sqrt(99)*-2)/sqrt(9) - (2 + 2*sqrt(11))))**2 + -1 + -1.
64*sqrt(11) + 2818
Simplify (6*((sqrt(88) + sqrt(88)*3)*2 + -2*(sqrt(88) + (sqrt(88) - 3*sqrt(88))))/(-5*-4*(sqrt(392) + (sqrt(392) - (-2*sqrt(392) - sqrt(392))))))**2.
99/1225
Simplify (3*(2*sqrt(95) + sqrt(95)) + sqrt(95)*-5*-5)/((sqrt(180)/(sqrt(12)*2))/((sqrt(18) + sqrt(108)/sqrt(6))/sqrt(6))).
136*sqrt(19)
Simplify (((-1 + sqrt(2299))*-5 + (sqrt(2299) - (sqrt(2299) + -1)*2))**2*-4 - (2*sqrt(2299)*6 + (sqrt(2299) - (2 + sqrt(2299) + -3)))**2)*4.
-2649236 + 13728*sqrt(19)
Simplify ((sqrt(135)*-2 + sqrt(135) + (sqrt(60)*-1 + sqrt(60) - sqrt(60))/sqrt(4))/((-5*(sqrt(6) + sqrt(24)))/((sqrt(50) + sqrt(2))*4)))**2.
1024/5
Simplify ((((-1*sqrt(896))/((sqrt(84) - sqrt(84)*-3)/sqrt(12)) + -5)*-3)**2 + -5)*2.
360*sqrt(2) + 584
Simplify 1*((sqrt(891)*-1 + 1)*2)**2 + (4 + (sqrt(891) - 1*sqrt(891) - sqrt(891) - sqrt(891))*3)**2*-1.
-28524 + 360*sqrt(11)
Simplify -3 + -1*sqrt(13)*4 + 5 - (4 + (0 + sqrt(13) + sqrt(39)/sqrt(3) - sqrt(26)/sqrt(2)*5)).
-sqrt(13) - 2
Simplify 1 + (sqrt(1700) + 3*sqrt(1700)*-5 - sqrt(1700)) + sqrt(68) + (sqrt(68) - (3 + sqrt(68) + -1)**2) + 3.
-154*sqrt(17) - 68
Simplify ((sqrt(76) + 1*sqrt(76))*-1)/sqrt(4)*-3 + (4 + sqrt(19) + -4)**2 + (sqrt(171)/sqrt(324))**2.
703/36 + 6*sqrt(19)
Simplify (3*sqrt(133)*-5*-2*-3)/(-6*5*2*sqrt(112)).
3*sqrt(19)/8
Simplify (-3 + 4*((sqrt(425) + 3 + sqrt(425)*2 - sqrt(425)) + -1) + (2 + sqrt(425))*3 + -2 + sqrt(425) + -2)**2.
840*sqrt(17) + 61249
Simplify (-4*-3*(sqrt(1225)*2 + sqrt(1225)))/(-6*
|
{
"pile_set_name": "DM Mathematics"
}
|
))**(8/7) assuming m is positive.
m**(183/20)
Simplify (((o*o**(2/23))/o*o)**(8/7))**(-2/67) assuming o is positive.
o**(-400/10787)
Simplify ((f**(6/23)/f)/(f/(f/(f/(f*f**(-29))*f)*f)))**(-34) assuming f is positive.
f**(23256/23)
Simplify (u**20/(((u*(u/(u/(u/(u**19*u))))/u*u)/u)/u))/(u**(-13)/u)**(-41) assuming u is positive.
u**(-534)
Simplify (o/(o*o/o**(1/13)))/(o*o/o**(-6/13)*o*o)*o/(o/o**8)*(o**(-2/3)*o*o)/o assuming o is positive.
o**(115/39)
Simplify (k/((k/(k/(k**5/k)))/k))**(9/4)/((k**18*k)/((((k*k**(-22)*k)/k)/k)/k)) assuming k is positive.
k**(-93/2)
Simplify ((i*i**(-9))/i*i)/(i*i/(i**(-2/63)*i*i)*i)*(i**0*i)**(1/12) assuming i is positive.
i**(-2255/252)
Simplify f**(-20)/f*f*(f**(-3/7)*f*f)/f*((f*f*f**10)/f)/(f*f**(-13)*f*f) assuming f is positive.
f**(11/7)
Simplify (((l**6*l*l)/(l/(l*l/l**(-21))))**(1/27))**(1/2) assuming l is positive.
l**(5/9)
Simplify ((b/(b**(-14)/b))/(b/(b*b**(-8))))/((b/(b**(-6)*b))/(b/(b*b*b/(((b*(b*b*b**(2/9))/b)/b)/b*b*b)*b)*b)) assuming b is positive.
b**(20/9)
Simplify (i*i**(-19)*i/(i**0/i))/(i**(-3)*i*i/i**(4/3)) assuming i is positive.
i**(-41/3)
Simplify (u**(1/36)/(u*u**32))**8 assuming u is positive.
u**(-2374/9)
Simplify (r**(-3/7)*r)**(-1/9)*r**(7/4)/(r/r**(-8/5)) assuming r is positive.
r**(-1151/1260)
Simplify ((p*p**(2/9)/p)/(p/p**(-2/9)))/(((p/(p**(-7)/p*p*p))/p)/(p*p/p**(4/5))) assuming p is positive.
p**(-29/5)
Simplify m**(24/5)*m*m*m**(-7/3)*m*m*(m**(-6)/m*m)**(1/2) assuming m is positive.
m**(52/15)
Simplify ((b**(-14/5)/b)/b*(b/b**(-23)*b)/b)/(((b*b**12/b)/b*b*b)/(b**(-34)*b*b*b*b)) assuming b is positive.
b**(-119/5)
Simplify (j**5/(j/(j/j**(-3/19))))/(j**(-20)*j*j)**44 assuming j is positive.
j**(15146/19)
Simplify (n**3)**(-2/99)*n**(-12)/(n*n*n**(-8)) assuming n is positive.
n**(-200/33)
Simplify (((y/((y*y**(2/89)/y)/y))/y)/(y*y**(2/75)*y))**(-3/13) assuming y is positive.
y**(7003/28925)
Simplify (i*i*i**(2/11)/i*i**(-2)*((i/(i**(1/11)/i))/i)/(i**9/i))**(-4) assuming i is positive.
i**(348/11)
Simplify ((o*o**(-3/5))/(o/(o/(((o*(o**2/o)/o)/o)/o*o))))/(((o/(o/(o/(o/((o*o**7*o)/o)*o))*o*o))/o*o)/((o*o*o**(2/19)/o)/o)) assuming o is positive.
o**(-427/95)
Simplify (x**(-3/2))**(4/5)/(((x/(x**(-3/11)*x))/x)/(x*x**(-15)*x)) assuming x is positive.
x**(-741/55)
Simplify ((n/(n/n**(2/17)))/n**7)/(n/(n/(n/(n/((n**(3/4)/n)/n)))))**(1/17) assuming n is positive.
n**(-463/68)
Simplify k**(2/9)/k**(-1/2)*(k**0)**(-14/5) assuming k is positive.
k**(13/18)
Simplify (r**(-2/3)/r)**(2/7)*r**(-11)*r**3 assuming r is positive.
r**(-178/21)
Simplify (l**(-27)*l*l*(l/(l**(3/5)*l*l))/l*l)**(-50) assuming l is positive.
l**1330
Simplify (m**13)**(1/42)*m**22*m**(2/73)/m assuming m is positive.
m**(65419/3066)
Simplify ((i**(-1/4)/i)/i)/(i**(-1/11)/i)*i*i**(2/25)*i/i**(-1/5) assuming i is positive.
i**(1233/1100)
Simplify ((z**(1/5)*z)/z**(2/3))/((z/(z*z*z**(-2/15)/z))/z)**(1/21) assuming z is positive.
z**(181/315)
Simplify (((o/o**(12/13))/o)/(o*o/(o/((o*o**(-1))/o))))/(o**(-3/29)*o**39) assuming o is positive.
o**(-15012/377)
Simplify (((b**2/b)**50)**(-19))**(-1/53) assuming b is positive.
b**(950/53)
Simplify (((r**12*r)/r)/r**6)**16 assuming r is positive.
r**96
Simplify (((m**1*m)**(-2/33))**(-45))**(-16) assuming m is positive.
m**(-960/11)
Simplify (r/(r**(-2/17)*r))**(1/5)/(r*r*r/((r**(-3/7)/r*r)/r*r))**11 assuming r is positive.
r**(-22426/595)
Simplify ((g/g**(-13)*g/(g/g**13)*g)**(-24))**(-1/36) assuming g is positive.
g**(56/3)
Simplify (s*s/(s*s**(-1/2)))**(3/5)*s/s**(-3/4)*s*s/(s/(s/(s*s**(2/107))*s)) assuming s is positive.
s**(9911/2140)
Simplify ((x**(1/10)/x)**3)**(-22/7) assuming x is positive.
x**(297/35)
Simplify ((w/(w/w**31))/w)/(w/(w*w**(17/2))*w*w)*w**(-12)/((w*w**(3/8))/w) assuming w is positive.
w**(193/8)
Simplify (g*g/(g**(-2/9)/g))**(-1/30)*(g*g/g**(-2/11)*g)**9 assuming g is positive.
g**(84731/2970)
Simplify (((h/(h*h**(2/13)*h))**(-12/5))**(-41))**(-2/11) assuming h is positive.
h**(2952/143)
Simplify (o**(-1/7))**(2/5)/(o**(2/3))**(-11) assuming o is positive.
o**(764/105)
Simplify (b**(-9)*b**1)**(2/37) assuming b is positive.
b**(-16/37)
Simplify l**(-12)/(l**(2/11)/l)*l*((l*l**(-27))/l)/l*l*l*l/((l**(2/7)/l)/l) assuming l is positive.
l**(-2577/77)
Simplify x**12*x*x*x*((x**(2/5)/x)/x)/x*x**1/(x**(-10)*x) assuming x is positive.
x**(112/5)
Simplify i/(i*i/((i**(-9/7)/i)/i)*i)*i*i*i**(-1/26)*(i**7)**(5/13) assuming i is positive.
i**(-115/182)
Simplify (x**(-3))**18/(x**4*x*x**(-1/15)) assuming x is positive.
x**(-884/15)
Simplify (b**(-5)*b*b)**48/(b*(b*b**20)/b*b*b**(-2/55)*b) assuming b is positive.
b**(-9183/55)
Simplify (q*q/q**(-2/7)*q*q/q**(5/3))/(q/q**12*q*q*q**14) assuming q is positive.
q**(-50/21)
Simplify (q**(-3/4))**(-5)/(q*q*q/(q**3/q)*q*q*q**(-2/45)) assuming q is positive.
q**(143/180)
Simplify ((h*h**(1/11)/h)**(2/5))**10 assuming h is positive.
h**(4/11)
Simplify (v*v/v**(-11))/(v/v**(3/13)*v)*(v/(v*v**11)*v)/(v**(-18)*v) assuming v is positive.
v**(237/13)
Simplify (c*(c**(-2)/c)/c*c)**(-28/9)/(c**(-7)/c**(-9)) assuming c is positive.
c**(38/9)
Simplify (a*a/a**17)/(a*((((a**(1/22)/a)/a)/a)/a)/a)*a**12*a*a**6 assuming a is positive.
a**(175/22)
Simplify ((b**2)**(-42)*b**(-8)*b**(-1/13))**(3/31) assuming b is positive.
b**(-3591/403)
Simplify ((c/c**8*c)/c)**(-18/7)/(c**(-17)/c**(-15/8)) assuming c is positive.
c**(265/8)
Simplify (r**7)**5*(r*r*(r/(r*r*r/(r*(((r*r/(r/(r/(r/(r/r**(-2/15)))))*r*r)/r)/r)/r*r*r)))/r*r)**(1/17) assuming r is positive.
r**(8987/255)
Simplify ((o**0/(o**(4/3)*o))**24)**(-3) assuming o is positive.
o**168
Simplify (x**20/(x/(x/(x*x**(-13)))))/(x*x**(-6)*x)**17 assuming x is positive.
x**100
Simplify ((c/c**12*c*c)/(c*c**(4/5)))/(c**(-2/11)*c*c*c**(-4)*c) assuming c is positive.
c**(-529/55)
Simplify ((j**(2/7))**(-33)/(j**1/j*j*j**(-3/11)))**(-1/18) assuming j is positive.
j**(391/693)
Simplify ((a**(-8/7)*a)/a)**7/((a**(-9)*a*a*a)/a)**(2/31) assuming a is positive.
a**(-234/31)
Simplify (b*b**(1/4))/(b*b**(1/13))*(b*b**2)/b**18 assuming b is positive.
b**(-771/52)
Simplify (s**(1/29)/s**(-7))**14 assuming s is positive.
s**(2856/29)
Simplify ((w/(w/(w/w**(1/6)*w))*w**(-2))**(-6/7))**(-30) assuming w is positive.
w**(-30/7)
Simplify (((x**(-2/9))**(-1/2))**(-1/38))**(6/11) assuming x is positive.
x**(-1/627)
Simplify v**(-10/9)*v/(v*v*v**(-17/3)*v*v)*v**(-5/8)/v**(-30/7) assuming v is positive.
v**(2629/504)
Simplify (((m*m/m**4*m*m*m)/(m**(-1/3)*m))/((m**3*m)/m**5))**(5/6) assuming m is positive.
m**(10/9)
Simplify (c*c**(2/21))**(-4/19)*((c*c/(c*c/(c*c**(1/6)*c)*c*c*c))/c)**47 assuming c is positive.
c**(-68945/798)
Simplify (i**14)**(1/31)/((i/(i/i**(3/19))*i)/(i*i*i**2*i*i*i*i)) assuming i is positive.
i**(4296/589)
Simplify (((j/j**(18/7))/j)/(j/j**(-5)))/((j**(1/4)*j)/((j**11*j*j)/j)) assuming j is positive.
j**(61/28)
Simplify (((z*z*z*z**(2/21))/z*z)/((z/(z/z**14))/z))/(z**(-1)*(z/(z/(z*z/z**(-7/5)))*z)/z) assuming z is positive.
z**(-1292/105)
Simplify (d**(-20)/d*d**30*d)**(-5/6) assuming d is positive.
d**(-25/3)
Simplify (n*n/n**25*n*n**22)/((n*((n/n**25)/n)/n*n)/(n*n/(n**8/n)*n*n)) assuming n is positive.
n**21
Simplify x**(-1/3)*(x*(((x*((x/(x/x**(-2/25)))/x*x)/x)/x)/x)/x*x)/x*(x*x/x**(5/6))/x*(x**(4/13)/x)/x assuming x is positive.
x**(-7681/1950)
Simplify ((k**(-2/3)*k)**(-16)/(k**(-2/11))**(-36))**(-25) assuming k is positive.
k**(9800/33)
Simplify ((a/a**(-1/5))/a*a*a*a**7)/(a/a**6*a*a**6) assuming a is positive.
a**(36/5)
Simplify (t*t**(2/23)*t)/(t/(t**(-3)/t))*(t*(t/t**(1/20)*t*t)/t)/t**(-1/8) assuming t is positive.
t**(149/920)
Simplify (t**(-2/21))**19/(t**17/((t/(t*(t/(t**(-3/7)/t)*t)/t)*t)/t*t)) assuming t is positive.
t**(-425/21)
Simplify (i/(i**(-1/6)*i))**(1/8)*(i**12*i)/(i**(-10)/i) assuming i is positive.
i**(1153/48)
Simplify ((((((x*x**1)/x)/x)/x)/(x**(3/4)*x))**(-36))**(-1/10) assuming x is positive.
x**(-99/10)
Simplify ((s**18*s)/((s*s**(-1/21))/s))**(-9/5) assuming s is positive.
s**(-240/7)
Simplify ((i*i**(2/5)*(i/(i/i**(-2)))/i)/(i*i**(-2/11)*i*i**(-1/2)))**(5/7) assuming i is positive.
i**(-321/154)
Simplify (m**(-11))**(-2/115)*m**20/m**13 assuming m is positive.
m**(827/115)
Simplify p*p*p*p*p*p*p*p**(1/10)*p**10*(p**(-2)*p)/p*p**10 assuming p is positive.
p**(251/
|
{
"pile_set_name": "DM Mathematics"
}
|
9?
2
What is the units digit of 911785?
5
What is the thousands digit of 166779?
6
What is the hundred thousands digit of 1495695?
4
What is the tens digit of 405577?
7
What is the hundred thousands digit of 917629?
9
What is the hundreds digit of 45080?
0
What is the millions digit of 5916030?
5
What is the units digit of 30192958?
8
What is the ten thousands digit of 3484065?
8
What is the millions digit of 2698360?
2
What is the millions digit of 2775434?
2
What is the thousands digit of 4937805?
7
What is the thousands digit of 1142254?
2
What is the tens digit of 700316?
1
What is the millions digit of 4847937?
4
What is the units digit of 1031979?
9
What is the ten thousands digit of 41630?
4
What is the ten thousands digit of 515843?
1
What is the units digit of 351864?
4
What is the units digit of 8080133?
3
What is the ten thousands digit of 5272123?
7
What is the hundreds digit of 918012?
0
What is the hundreds digit of 466127?
1
What is the ten thousands digit of 15966?
1
What is the hundred thousands digit of 21858684?
8
What is the millions digit of 1414579?
1
What is the hundred thousands digit of 247114?
2
What is the tens digit of 99429?
2
What is the tens digit of 2709643?
4
What is the units digit of 2304381?
1
What is the hundred thousands digit of 308298?
3
What is the hundreds digit of 44368?
3
What is the units digit of 409810?
0
What is the tens digit of 387399?
9
What is the hundreds digit of 830831?
8
What is the thousands digit of 533991?
3
What is the hundreds digit of 25889715?
7
What is the millions digit of 3396282?
3
What is the tens digit of 479635?
3
What is the hundred thousands digit of 342363?
3
What is the units digit of 2861543?
3
What is the units digit of 3797002?
2
What is the millions digit of 10253031?
0
What is the units digit of 17128262?
2
What is the hundred thousands digit of 1999198?
9
What is the ten thousands digit of 687686?
8
What is the thousands digit of 6514493?
4
What is the ten millions digit of 11347971?
1
What is the thousands digit of 6510217?
0
What is the units digit of 5974980?
0
What is the thousands digit of 477582?
7
What is the hundred thousands digit of 21059490?
0
What is the ten thousands digit of 20232?
2
What is the units digit of 4218?
8
What is the units digit of 1463364?
4
What is the thousands digit of 250817?
0
What is the hundred thousands digit of 392521?
3
What is the hundreds digit of 10410950?
9
What is the units digit of 38414?
4
What is the tens digit of 583707?
0
What is the tens digit of 1723162?
6
What is the thousands digit of 842711?
2
What is the units digit of 7427079?
9
What is the millions digit of 5153977?
5
What is the hundreds digit of 26626656?
6
What is the tens digit of 443476?
7
What is the thousands digit of 2054788?
4
What is the ten thousands digit of 427281?
2
What is the millions digit of 1405671?
1
What is the ten thousands digit of 2520912?
2
What is the hundreds digit of 114245?
2
What is the millions digit of 10680949?
0
What is the thousands digit of 515043?
5
What is the units digit of 125286?
6
What is the hundreds digit of 16469?
4
What is the ten thousands digit of 4814397?
1
What is the hundreds digit of 13732200?
2
What is the hundreds digit of 195967?
9
What is the thousands digit of 3323888?
3
What is the ten thousands digit of 6185095?
8
What is the units digit of 6995748?
8
What is the hundreds digit of 441369?
3
What is the ten millions digit of 21407858?
2
What is the tens digit of 2633350?
5
What is the hundred thousands digit of 1083883?
0
What is the millions digit of 2185825?
2
What is the hundreds digit of 277623?
6
What is the ten millions digit of 12397907?
1
What is the millions digit of 6729120?
6
What is the thousands digit of 864035?
4
What is the thousands digit of 257849?
7
What is the tens digit of 5388027?
2
What is the hundreds digit of 2034821?
8
What is the units digit of 3113636?
6
What is the ten thousands digit of 833934?
3
What is the hundreds digit of 1230983?
9
What is the ten thousands digit of 6208182?
0
What is the hundred thousands digit of 140219?
1
What is the thousands digit of 5504592?
4
What is the thousands digit of 665602?
5
What is the ten thousands digit of 3170697?
7
What is the hundred thousands digit of 489621?
4
What is the hundreds digit of 47551?
5
What is the millions digit of 1292163?
1
What is the hundreds digit of 2162727?
7
What is the ten thousands digit of 100448?
0
What is the hundreds digit of 495994?
9
What is the hundred thousands digit of 899244?
8
What is the millions digit of 2440886?
2
What is the ten thousands digit of 445643?
4
What is the ten thousands digit of 7411408?
1
What is the hundred thousands digit of 1373501?
3
What is the units digit of 4592600?
0
What is the ten millions digit of 10010006?
1
What is the ten thousands digit of 6524984?
2
What is the tens digit of 231949?
4
What is the hundreds digit of 41732?
7
What is the hundred thousands digit of 2502369?
5
What is the tens digit of 8097083?
8
What is the hundred thousands digit of 2482901?
4
What is the millions digit of 3453067?
3
What is the hundreds digit of 599834?
8
What is the tens digit of 211225?
2
What is the hundred thousands digit of 524271?
5
What is the thousands digit of 143542?
3
What is the units digit of 6885098?
8
What is the hundreds digit of 5567830?
8
What is the tens digit of 489640?
4
What is the thousands digit of 661942?
1
What is the ten thousands digit of 19443?
1
What is the ten thousands digit of 940966?
4
What is the hundred thousands digit of 417568?
4
What is the ten thousands digit of 844243?
4
What is the thousands digit of 488213?
8
What is the hundred thousands digit of 242406?
2
What is the hundred thousands digit of 3025377?
0
What is the units digit of 170599?
9
What is the thousands digit of 242220?
2
What is the thousands digit of 552171?
2
What is the hundreds digit of 55464?
4
What is the ten thousands digit of 219078?
1
What is the millions digit of 14520381?
4
What is the thousands digit of 12717223?
7
What is the hundreds digit of 1563170?
1
What is the tens digit of 122854?
5
What is the millions digit of 3290198?
3
What is the ten thousands digit of 13202628?
0
What is the hundred thousands digit of 3453902?
4
What is the units digit of 17980?
0
What is the thousands digit of 3342842?
2
What is the ten thousands digit of 21868049?
6
What is the ten thousands digit of 630010?
3
What is the hundred thousands digit of 197624?
1
What is the hundreds digit of 9950803?
8
What is the ten millions digit of 36789619?
3
What is the thousands digit of 769834?
9
What is the hundreds digit of 497692?
6
What is the hundred thousands digit of 780775?
7
What is the hundreds digit of 28914?
9
What is the hundred thousands digit of 768427?
7
What is the ten thousands digit of 420466?
2
What is the hundred thousands digit of 1301840?
3
What is the units digit of 96313?
3
What is the tens digit of 10096533?
3
What is the units digit of 17986954?
4
What is the ten thousands digit of 10202147?
0
What is the hundred thousands digit of 123386?
1
What is the hundreds digit of 198535?
5
What is the tens digit of 3572790?
9
What is the units digit of 710845?
5
What is the hundreds digit of 75792?
7
What is the thousands digit of 139542?
9
What is the ten thousands digit of 2277090?
7
What is the ten thousands digit of 8705819?
0
What is the thousands digit of 20984507?
4
What is the tens digit of 242487?
8
What is the thousands digit of 586021?
6
What is the units digit of 2242504?
4
What is the tens digit of 1865550?
5
What is the thousands digit of 3191394?
1
What is the hundred thousands digit of 18953155?
9
What is the hundreds digit of 653604?
6
What is the ten thousands digit of 35406?
3
What is the hundred thousands digit of 8443548?
4
What is the hundreds digit of 21012382?
3
What is the millions digit of 2043673?
2
What is the hundred thousands digit of 1423702?
4
What is the tens digit of 5023062?
6
What is the hundred thousands digit of 2586733?
5
What is the units digit of 1316474?
4
What is the ten thousands digit of 842562?
4
What is the units digit of 369367?
7
What is the hundreds digit of 32119738?
7
What is the hundred thousands digit of 11650246?
6
What
|
{
"pile_set_name": "DM Mathematics"
}
|
n g, -0.07, r?
r
Let i = 13 - 97. Let u be (-10)/45 + i/(-135). Let x = -127.6 + 127.8. Which is the second smallest value? (a) u (b) -1/5 (c) 3/4 (d) x
d
Let o = -0.39 - -114.39. Let n = o - 113. What is the third biggest value in -3, n, -1/5, 59?
-1/5
Let q be 50/(-10) + 2*1/2. Let o be (3/(-5))/((-1)/(-5)). Which is the third smallest value? (a) o (b) 2 (c) -0.4 (d) q
c
Let h = -12902 + 90317/7. Which is the fifth smallest value? (a) -4 (b) 12 (c) -0.1 (d) h (e) 3
b
Let j = -776 - -777. Let a = -3.11 + -1.89. What is the third biggest value in a, j, 6?
a
Suppose -3*d + 4*n = -163, 3*d - 139 = -7*n + 5*n. Let p be (-1476)/(-28) + 2/7. Let u = d - p. Which is the third smallest value? (a) 1 (b) u (c) -0.5
a
Let y = 0 + 0.2. Let q = y - 0.05. Let a = q + 1.85. What is the biggest value in a, 0.5, 3?
3
Let f = -0.071 + -30.229. Let i = f + 33.3. What is the third biggest value in i, 30, -2/3?
-2/3
Let j = -0.37348 - -873.37348. Which is the second biggest value? (a) -2/5 (b) 0.2 (c) j
b
Let i = -347 - -625. Let o = 277.6 - i. Let k = 8 + -8.15. Which is the third biggest value? (a) -0.5 (b) o (c) 4 (d) k
b
Let n be (1/(20/(-8)))/((-35)/(-25)). Let p = 791 + -786. Which is the biggest value? (a) p (b) n (c) -1/11 (d) 2/5
a
Let k be -1 + (8/44)/(10/(-110)). Let f = 5.11 - 0.11. Which is the smallest value? (a) -2 (b) 21 (c) f (d) k
d
Let p = -434.2 + 84.2. Let r = p - -346. What is the second biggest value in r, 0.1, 42/11?
0.1
Suppose -11*g = -897 + 292. Let r = -51 + g. Suppose 10 = -w + 2*t, r*w - w = -2*t + 2. Which is the smallest value? (a) -1/5 (b) 3/7 (c) w (d) -5
d
Suppose 0 = 4*k - 1774 + 466. Let x = 2284/7 - k. Which is the third smallest value? (a) 0.4 (b) -13 (c) 1 (d) x
a
Let u be 18 + -17 - 62/38. Let z = u - -43/38. Which is the third biggest value? (a) -15 (b) z (c) 6
a
Let i(u) = 26*u + 22 - 18 - 22*u. Let x be i(0). What is the fourth biggest value in 0.1, -1, -2/7, x?
-1
Let l = -0.0577 - -2.8277. Let p = l - 3.77. Which is the biggest value? (a) 3 (b) p (c) 2/9 (d) 1/7
a
Let x = 511 - 424. Let t = 87 - x. Let v = -9/10 - -2/5. Which is the fourth smallest value? (a) t (b) -6 (c) v (d) 0.4
d
Let r = 462.383 - 0.383. Let u = -458 + r. What is the fourth smallest value in 5, -4, -0.04, u?
5
Let j = 383 - 406.96. Let z = 2.8 + 21.2. Let v = j + z. What is the biggest value in -1/3, 3, v?
3
Let n = 0.4 - 0.7. Let w = -7019/17 + 413. Let h = -31 - -31. Which is the second smallest value? (a) h (b) w (c) n (d) 1/2
a
Let z = 330.5 + -336. Let i = 10.5 + z. What is the second smallest value in -2/13, -4, 1/52, i?
-2/13
Let o be (-380)/(-19) + 994/(-49). Which is the second smallest value? (a) 0.034 (b) o (c) -33
b
Let i(y) = -y**2 - 41*y - 318. Let n be i(-11). Which is the smallest value? (a) 10 (b) n (c) 0 (d) 5 (e) 4
c
Let y = -4370 - -4544. What is the fourth biggest value in y, 2, -5, 3?
-5
Let g = 4 + -3. Let w = -73601/6 + 12209. Let f = -58 - w. What is the second smallest value in 4/7, 3, f, g?
4/7
Let m = -262 - -263. Let c be 110/15*3/2. Suppose c*a = 8*a. What is the fourth biggest value in m, a, -3, -2/5?
-3
Let q be 354/11 + ((-36)/22)/9. Let b be -2 + (q/(-10) - -5). What is the second smallest value in -16, -0.4, b?
-0.4
Let x = 0.15215 - 2.15215. Which is the third smallest value? (a) x (b) -486 (c) 2
c
Let x = -6275 - -6276. What is the third biggest value in 9, x, 0, -5?
0
Let p = -6430 + 6429. Which is the second biggest value? (a) -5 (b) 4/11 (c) p
c
Let x be (15/(-8))/(920/(-32) - -31). What is the biggest value in -1/5, x, 74?
74
Let j = 65.9385 + 0.0615. Let d = j + -61. What is the second biggest value in d, 1, -24, 3/2?
3/2
Suppose 2*y + 6 + 2 = 0. Let r be (-2 + (-4)/y)*3. Let c = -811 - -807. What is the fourth smallest value in -2/7, c, -0.06, r?
-0.06
Let b be ((-110)/77)/(-3*(-3 - 917/(-294))). Let a = 3.1 + -0.1. What is the biggest value in a, -16/5, b?
b
Let y = 105.8 + -82. Let q = -24 + y. Let l = 178 + -180. Which is the third biggest value? (a) l (b) 0.05 (c) q
a
Let x = 0.454 + 0.046. Suppose -57*m = -77*m - 240. Which is the smallest value? (a) m (b) x (c) 1
a
Let s be -2*(-12)/10 + -2. Let m = 427/2517 + -5/1678. Which is the third biggest value? (a) s (b) -2/11 (c) 0 (d) m
c
Let i = -87 - -141. Let x = -49 + 103. Let g = i - x. Which is the smallest value? (a) -5 (b) g (c) 2
a
Suppose -17149 = 20*u - 6089. Let h = u + 2768/5. Which is the third smallest value? (a) h (b) 5 (c) -0.5
b
Let h = 0.5 + -0.3. Let t = 850 + -619. Let n = t - 230.6. What is the second biggest value in h, 9, n?
n
Let q = 9.07063 + -0.07063. What is the third biggest value in -2, 5, 0.055, q?
0.055
Let x = -41746 + 459226/11. Which is the smallest value? (a) 5 (b) -0.12 (c) 0.1 (d) x
b
Let f = -8/216625 + -1928612191/4982375. Let r be 386 - (-3 - 8/(-4)). Let g = r + f. Which is the third biggest value? (a) g (b) -1/2 (c) -0.1
b
Let y = -0.5 + -3.5. Let b = -0.71605 - -45.71605. What is the fourth smallest value in 2/7, b, -1, y?
b
Let d = 39 - 47. Let c = d - -51. Let i = c - 43.2. What is the smallest value in i, 3, 2?
i
Suppose 4*k - 3*d - 139 = 0, -4*k - 2*d + 100 = -14. Let o = 29 - k. What is the biggest value in o, 6/7, -2/23?
6/7
Suppose 0 = -3*p - 12 + 18, 14 = -4*i - p. What is the third biggest value in 0.001, i, 0, 4?
0
Let u = -63.3 + 67.3. Which is the fifth smallest value? (a) 3 (b) 0.5 (c) u (d) 1/3 (e) -0.3
c
Let n = -8 + 7.7. Let o = -180/679 - 2/97. Let r = 419 - 418. Which is the third biggest value? (a) r (b) o (c) -3 (d) n
d
Let x = -10.9669 - 0.0331. Which is the third smallest value? (a) -2 (b) 0.22 (c) 2 (d) x
b
Let c = 4 - 10/3. Let f = 9263 - 9262.9. What is the fourth biggest value in c, -26, f, 0?
-26
Let l = 0 + 0.2. Let q = -8108.6 + 8135.6. What is the second biggest value in q, -0.5, l?
l
Let m = 0.045229 + -0.025229. Let o = 0.35 + -0.05. Which is the third smallest value? (a) m (b) o (c) -6
b
Let q = -47741 + 47738. What is the biggest value in q, -1/2, 5, -39?
5
Let u = 510.497 - 510.5. What is the fourth biggest value in -2, -5, -6, 2, u?
-5
Let u = 1.892 + -1.972. Which is the third smallest value? (a) -2/7 (b) u (c) 6/11
c
Suppose -5*k + 25 = 0, -19*u + 15*u + 5*k - 721 = 0. Let l be (u/725)/(3/(-10)). Which is the third biggest value? (a) l (b) -12 (c) -1
b
Let k = 1717.453 - 1719. Let m = k + -0.453. What is the fourth biggest value in -1/22, -1/4, 0.5, m?
m
Let r = -6052 + 6054.3. Which is the third smallest value? (a) r (b) -21 (c) 3
c
Let y(p) = -4*p - 80. Let f be y(-21). Let h = -39 - -123. Let l = h + -84.5. Which is the smallest value? (a) l (b) 1 (c) 13 (d) f
a
Let o = -1020.1 + 1020. What is the biggest value in o, -4, -3, -0.06?
-0.06
Suppose 28*r = 6*r. Let f be (5/(-25) - r)*3. What is the second smallest value in -3, 1/3, f?
f
Let x = 3178 - 34964/11. What is the fourth smallest value in -0.3, -31/6, 5, x?
5
Let y = -68 - -201. Let i = 133.1 - y. What is the second smallest value in i, 3, -1.1, -3?
-1.1
Let g = 0.0711 + -1.0711. Which is the third biggest value? (a) -9 (b) -2/81 (c) g
a
Let p = 7090.47 + -7124. Let v = p - -34. Let r = 0.61 - v. Which is the third biggest value? (a) -1 (b) 0.3 (c) r
a
Let j = 749.7 + -791. Let b = -40.3 - j. What is the third biggest value in 5, b, -33, -0.1?
-0.1
Let d = 1.5 - 2.39. Let s = 85.11 - d. Let n = s - 86.5. Which is the biggest value? (a) n (b) -7 (c) 4
c
Let v = 0.08 - 0.08. Let m = -1.184 + 1.484. Which is the biggest value? (a) 0.5 (b) m (c) -2 (d) v
a
Let z = -850 - -798.3. Let k = 0.3 - z. Let v = k - 52.5. Which is the second biggest value? (a) 7 (b) 0.5 (c) v
b
Let o be ((-52)/12 - -5)/(-2 + 0 + 0). What is the biggest value in 1.04, o, -1/6, 0.5, 1/4?
1.04
Suppose 5*n - 34 = 66. Let f be (-11 - (-280)/25) + 1478/10. Let u = 149 - f. Which is the second smallest value? (a) u (b) 4 (c) n (d) 3
d
Let r = 1270.321 + 0.679. Which is the biggest value? (a) -0.1 (b) -1/2 (c) r
c
Let x = 4206 + -4196. Which is the second smallest value? (a) 1 (b) -1/5 (c) 0 (d) 4 (e) x
c
Let p(b) be the third derivative of -b**4/12 + 7*b**3/6 + b**2. Let r be p(6). Let n = -1130607/5 - -
|
{
"pile_set_name": "DM Mathematics"
}
|
-3/7 (d) -1
b
Let v = 218 + -217.6. What is the smallest value in v, 0.1, -2/9, 22, 14?
-2/9
Let n = -0.7 + 0.2. Let m = -39525.9 - -39527. Which is the third smallest value? (a) 0 (b) n (c) m
c
Let q = 0.06 + 0.34. Let j = 3.961007 - -0.038993. What is the biggest value in j, q, -1/4?
j
Let r = 41 + -41.2. Let z = 11.004 - 10.004. Which is the fourth smallest value? (a) -0.11 (b) z (c) 2 (d) r
c
Let r = 8.8 - -42.2. Let z = 26 - r. Let j = z + 24. Which is the biggest value? (a) 6 (b) j (c) -5
a
Let i = -2042 - -2042.3. Let a = 0.1 - 0.1. Let c = -0.1 - a. What is the second smallest value in i, c, -6?
c
Let v be 6/((-48)/40) + (75/9 - 4). What is the second smallest value in -3.9, 0.2, v?
v
Let h = -116.7 + 114. Let y = 32 - 28.8. Let o = y + h. Which is the biggest value? (a) 5 (b) -3 (c) o
a
Let j(z) = -z**3 + 4*z**2 + 2*z - 3. Let u be j(4). Let t = -0.0116 + 16.5516. Let h = 12.54 - t. Which is the smallest value? (a) u (b) h (c) 0
b
Let n be 10/6 + 8/(-12). Suppose 7*o + 37 = 8*o. Suppose 5*z = 2*h + o, 0*z - 9 = 3*z. Which is the fourth smallest value? (a) -5 (b) n (c) h (d) 2
d
Let j = -4.341 - -6.341. What is the fifth biggest value in j, -3, -2, 5, 0.2?
-3
Let g = 3.3 - 0.3. Let q be 15/(-18) - ((-15)/60 + 424/96). What is the biggest value in q, 2, g, -0.3?
g
Let f = -8.01 - -8. Let g = -3760.4 + 3760. Let y = -7.3 - -7. Which is the third biggest value? (a) f (b) y (c) g (d) -0.5
c
Let x(z) = -6*z**3 - 16*z**2 - 4*z - 9. Let h be x(-6). Let r be (-140)/h*14/(-12). Which is the biggest value? (a) 3/8 (b) -2 (c) -1/2 (d) r
a
Let k = -879 + 2612/3. Let p = k - -419/51. Suppose 0 = r + 5, 3*o - r - 7 = o. Which is the third biggest value? (a) o (b) 8 (c) p
c
Let x = -0.1 + -0.9. Let m = -68771/3 - -22923. Let q = -2 + 2.4. Which is the biggest value? (a) q (b) 1/2 (c) x (d) m
b
Let j = 1.98 + -1.9584. Let i = 0.4784 + j. Let t = -0.1 + -0.3. Which is the third smallest value? (a) 0.3 (b) t (c) -4 (d) i
a
Let l = -29.64 - 3.96. Let t = -39.6 - l. Which is the biggest value? (a) t (b) 1 (c) -2
b
Suppose 1 + 15 = 4*w. Suppose -w*x = -r - 137, -4*x = 2*r - r - 135. Suppose 33*q = x*q - 5. Which is the third biggest value? (a) 4 (b) q (c) -3/4 (d) 0.2
d
Suppose -2*w = -2*i + 4, 370*w = 2*i + 375*w + 24. Let f = 0.4 + -2.4. Let v = f - -6. Which is the fourth smallest value? (a) v (b) -3 (c) -4 (d) i
a
Let v be 14 + 0 - (5 - 9). Suppose -15*w + 6*w + v = 0. Which is the second biggest value? (a) 1/3 (b) w (c) -1/11
a
Let y = 2.151 + -2.2. Let q = -1.12 + 1.171. Let v = y - q. Which is the third smallest value? (a) 0.5 (b) 2/11 (c) v
a
Let c = 1.5 + -1. Let j = 6302.45 + -6302.4. What is the smallest value in 5, -1, c, j?
-1
Let a = -1 + 0.6. Let x = -3.2196 - -1.2196. What is the third smallest value in a, -11, x?
a
Let i = -5 - -10. Let o = 2921 - 2889. What is the third biggest value in 0.4, i, o?
0.4
Suppose 99*h - 83 - 16 = 0. What is the second biggest value in -46/11, h, 0?
0
Suppose 6155 = 5*n - 15*i, -3*n - 5*i + i = -3589. Which is the second smallest value? (a) n (b) -5/4 (c) 3
c
Let w = 4548 - 4547. Let i = -15 + 16.8. Let t = i + -2. Which is the third biggest value? (a) 0.3 (b) w (c) t (d) -13
c
Let m = -62 - -62. Let d = -26.9 - -27.3. What is the biggest value in m, -3, -1/4, d?
d
Let v = -0.0243 - 198.9757. Let j = 194 + v. What is the third biggest value in -2, j, -1?
j
Let z = 691 + -312. Let k = z + -388. What is the smallest value in -1, -2, k, 1?
k
Let w = -28.5 + 31.5. Let n be 2/(-7) + 2904/(-77). Let o = n + 44. Which is the fourth smallest value? (a) w (b) o (c) 2/7 (d) -5
b
Let m be 2/33 - 12095/38940. Which is the biggest value? (a) 0.03 (b) -4.2 (c) m
a
Let l = -1.35 + -18.75. Let x = l - 10.9. Which is the second smallest value? (a) x (b) 1/2 (c) -2/5 (d) -3
d
Let u = 3 + -3.5. Let n be (6552/198 - 36) + (3 - 0). Which is the smallest value? (a) u (b) -2 (c) n
b
Suppose -3*p + 2 = -3*u - 1, 0 = -p + 3*u - 1. Suppose 5*t - 8 - p = 0. Let w = 3.2 - 2.9. Which is the second biggest value? (a) -9 (b) t (c) w
c
Let w = 577 - 576.759. Let h = w + -0.041. Let c = -0.892 + 0.192. What is the third smallest value in -4, c, h?
h
Let v = 42.95 + -40.05. Let g = -0.29 - 2.51. Let u = v + g. What is the third biggest value in u, -4, -0.5?
-4
Let g = 35803/78 - 2755/6. What is the third biggest value in g, -0.2, -128, 2/25?
-0.2
Let x be ((-3)/5)/(42/(-210)). Let j = -0.1 + 0. Let l = 1539.2 + -1539. Which is the third biggest value? (a) j (b) l (c) -5/3 (d) x
a
Let l = 1570/3 - 524. What is the third smallest value in -0.3, 5, -1/4, l, -1/2?
-0.3
Suppose 10*v - 1953 + 1913 = 0. Let q be -3*(7/3 + 3 + -4). What is the second smallest value in v, -6, q?
q
Let s(t) = 29 - 39 - 8 - 5*t - 65. Let y be s(-16). Which is the second smallest value? (a) -4/7 (b) 3 (c) y (d) 22
a
Let x = -32301 - -226111/7. What is the second smallest value in x, -24, -25?
-24
Let s = 68901/2 + -34449. What is the fourth biggest value in -2, -1.6, -1/25, s?
-2
Let q = -10166 - -10155. What is the third biggest value in 1/5, q, 4, -4?
-4
Let m = -0.04603 - 8.95397. Which is the smallest value? (a) 0 (b) -1/26 (c) m
c
Let x(r) = 4*r**3 + 2*r**2 + 4*r - 6. Let s be x(1). Which is the third biggest value? (a) -234 (b) -1 (c) s (d) 1
b
Let f = -599.299 + 599. Let i = f - 0.001. Let z = -25 - -49/2. Which is the second smallest value? (a) -2 (b) i (c) z
c
Let w be (-2)/5 + 8/15. Let i = 19694 + -19689. What is the fourth biggest value in -15, 0, i, w?
-15
Let s = -0.133 + 57.133. Let g = 54 - s. Let v be ((-37)/222)/(-1 - 18/(-8)). Which is the second biggest value? (a) v (b) 0.1 (c) g (d) 0
d
Let r = -5 - -5.1. Let g = -222655/2 + 111330. What is the second biggest value in r, g, 0.3, 3?
g
Let y be (-4)/(-5) - (-4)/(-10). Let x = -36 - -41. Let u = -2.726 - -2.636. What is the smallest value in y, u, x, -5?
-5
Let h = 19573 - 19576. Which is the fourth biggest value? (a) -2/11 (b) 7/2 (c) h (d) 5 (e) -39
c
Let v = 70732/5 - 14147. Let o = -0.24 + -0.06. Let k = 3.7 - o. Which is the biggest value? (a) v (b) -1/8 (c) -0.3 (d) k
d
Let q = -4661.41 + 4661.3. Let h = 0.3 + -1.3. What is the third smallest value in h, -4, q?
q
Let h = -0.99171 + -0.00829. What is the third smallest value in -2/349, h, -2/7?
-2/349
Let h = 8 - 10. Let k be (-1)/((-36)/8 - -2). Let z = -41 + 40.5. Which is the smallest value? (a) z (b) k (c) h
c
Let c = 192.2 - -48.8. Let f = c - 240.9. What is the third biggest value in -7/3, -8, f?
-8
Let f = 13.103 + -0.003. Let l = -12.9 + f. Which is the second smallest value? (a) 2/9 (b) l (c) 0.6 (d) -0.3
b
Let p = -8.9 + 9. Let x = -85.93 - -87. Let a = x + 0.93. What is the third biggest value in p, -2, a?
-2
Let y = 185 - 234. Let p = -19 + y. Which is the smallest value? (a) 3/5 (b) 0.2 (c) p
c
Let o = 13/33 - -3/11. Let a = -287 - -69. Let i = -216 - a. What is the smallest value in o, i, -0.1?
-0.1
Suppose -3*a - 5*q = -22, -2*a - 3*q = -0*a - 14. Let f be 180/42 + a/(-14). Let z be 238/(-504) - (-1)/f. What is the second biggest value in 8, z, -0.1?
-0.1
Suppose x = -z - 3, -3*x - 30*z + 25*z - 7 = 0. What is the biggest value in 2051, 0.4, x?
2051
Suppose -5*j - 4*b - 35 = 0, 0 = -2*j + 2*b - 6*b - 26. Let c = -55 + 53. Let r = 2.5 + c. What is the biggest value in -9, r, j, 0?
r
Let u = -6.712 + 1.478. Let n = -0.234 - u. Which is the third biggest value? (a) n (b) 3 (c) 1/5
c
Let i = -2.98 + -0.02. Let w = -0.1467 - -500.6467. Let g = -500 + w. Which is the third smallest value? (a) 0 (b) g (c) 3 (d) i
b
Let v = 17.95 - -0.05. Let p = -1154 - -3464/3. What is the second biggest value in p, v, -1/10?
p
Let m = -5534 - -5491. What is the biggest value in 0, 3, m, -1?
3
Let u = 12 + -14. Let s = 45/554 + 1811/4986. Which is the third smallest value? (a) 8/11 (b) 2 (c) u (d) s
a
Let u(o) = 2*o - 4. Let m be u(4). Let c be (4/(-66) + (-534616)/(-8976))*(8 - 4)/56. What is the biggest value in -1, c, m, 2/13?
c
Let r be -8 - (64/(-7) + 15 + -14). Which is the second smallest value? (a) -4 (b) r (c) -2/5 (d) 3/2 (e) 191
c
Let q be -14*(2 + (-98)/48). Let k = 17/36 - q. Let v be (-8)/(-76) - 52/133
|
{
"pile_set_name": "DM Mathematics"
}
|
231, -44340?
-133*h**3 + h**2 - 5*h - 27715
What is the l'th term of 38076, 37936, 37712, 37410, 37036?
l**3 - 48*l**2 - 3*l + 38126
What is the a'th term of 924675, 924844, 925011, 925176, 925339, 925500?
-a**2 + 172*a + 924504
What is the i'th term of 665697948, 1331395895, 1997093842, 2662791789, 3328489736, 3994187683?
665697947*i + 1
What is the h'th term of -243691, -487402, -731115, -974830, -1218547, -1462266, -1705987?
-h**2 - 243708*h + 18
What is the a'th term of -308369, -616768, -925167?
-308399*a + 30
What is the d'th term of 1423, 1349, 1373, 1615, 2195, 3233, 4849, 7163?
20*d**3 - 71*d**2 - d + 1475
What is the a'th term of 7971095, 15942219, 23913343, 31884467?
7971124*a - 29
What is the z'th term of -5293603, -5293664, -5293767, -5293912?
-21*z**2 + 2*z - 5293584
What is the k'th term of 470, 1922, 4366, 7808, 12254, 17710, 24182, 31676?
k**3 + 490*k**2 - 25*k + 4
What is the y'th term of 4296, 17299, 38996, 69381, 108448?
-y**3 + 4353*y**2 - 49*y - 7
What is the t'th term of 48667, 194701, 438091, 778837, 1216939, 1752397?
48678*t**2 - 11
What is the l'th term of -1198643, -4794588, -10787831, -19178372, -29966211, -43151348?
-1198649*l**2 + 2*l + 4
What is the x'th term of 34773, 139117, 313017, 556473, 869485, 1252053?
34778*x**2 + 10*x - 15
What is the d'th term of -14759, -14527, -14271, -13979, -13639, -13239?
2*d**3 + 218*d - 14979
What is the q'th term of 98555507, 197111008, 295666507, 394222004, 492777499?
-q**2 + 98555504*q + 4
What is the v'th term of 1083, 481, -831, -3105, -6593, -11547, -18219, -26861?
-42*v**3 - 103*v**2 + v + 1227
What is the h'th term of -18242, -36119, -53682, -70931, -87866, -104487, -120794?
157*h**2 - 18348*h - 51
What is the c'th term of 14714, 59009, 132898, 236381, 369458, 532129?
14797*c**2 - 96*c + 13
What is the j'th term of 678349, 678330, 678337, 678382, 678477, 678634, 678865, 679182?
2*j**3 + j**2 - 36*j + 678382
What is the f'th term of -41113, -41047, -40981, -40915, -40849, -40783?
66*f - 41179
What is the f'th term of -56765, -451322, -1522267, -3607796, -7046105, -12175390, -19333847?
-56366*f**3 + 2*f**2 - f - 400
What is the m'th term of 2777251, 11109066, 24995433, 44436358, 69431847, 99981906, 136086541, 177745758?
m**3 + 2777270*m**2 - 2*m - 18
What is the k'th term of -953731, -1907334, -2860811, -3814168, -4767411, -5720546, -6673579?
-k**3 + 69*k**2 - 953803*k + 4
What is the u'th term of -45849037, -45849032, -45849027, -45849022, -45849017, -45849012?
5*u - 45849042
What is the t'th term of 1252, 3214, 6520, 11170, 17164, 24502, 33184?
672*t**2 - 54*t + 634
What is the m'th term of -5966640, -5966703, -5966766?
-63*m - 5966577
What is the w'th term of -15378082, -15378081, -15378080, -15378079, -15378078?
w - 15378083
What is the h'th term of -113558, -224734, -335898, -447044, -558166, -669258, -780314, -891328?
h**3 - 111183*h - 2376
What is the w'th term of -180366, -180363, -180352, -180327, -180282?
w**3 - 2*w**2 + 2*w - 180367
What is the o'th term of 119, 287, 411, 473, 455, 339?
-3*o**3 - 4*o**2 + 201*o - 75
What is the t'th term of 1617, 1342, 741, -348, -2087, -4638?
-27*t**3 - t**2 - 83*t + 1728
What is the n'th term of -825, -4343, -10207, -18417?
-1173*n**2 + n + 347
What is the g'th term of -11284, -22743, -34176, -45583, -56964, -68319, -79648?
13*g**2 - 11498*g + 201
What is the q'th term of 1444, 3924, 6404, 8884?
2480*q - 1036
What is the q'th term of -107067, -106784, -106505, -106230, -105959, -105692?
-2*q**2 + 289*q - 107354
What is the f'th term of -6633, -6695, -6801, -6951, -7145?
-22*f**2 + 4*f - 6615
What is the f'th term of -1212277, -1212162, -1212047, -1211932, -1211817?
115*f - 1212392
What is the h'th term of -20857963, -20857947, -20857931, -20857915?
16*h - 20857979
What is the r'th term of 3690, 7456, 11256, 15108, 19030, 23040?
3*r**3 - r**2 + 3748*r - 60
What is the r'th term of -20756, -83372, -187732, -333836, -521684, -751276, -1022612?
-20872*r**2 + 116
What is the h'th term of -104504, -105900, -107296?
-1396*h - 103108
What is the h'th term of -13021688, -13021687, -13021686, -13021685?
h - 13021689
What is the m'th term of -521, -106, 623, 1666, 3023, 4694, 6679?
157*m**2 - 56*m - 622
What is the x'th term of 113464519, 113464524, 113464533, 113464546?
2*x**2 - x + 113464518
What is the d'th term of -2092794, -4185595, -6278406, -8371233, -10464082?
-d**3 + d**2 - 2092797*d + 3
What is the r'th term of -493684, -493749, -493816, -493885, -493956?
-r**2 - 62*r - 493621
What is the u'th term of -607967, -1215938, -1823913, -2431892?
-2*u**2 - 607965*u
What is the g'th term of 924857, 924719, 924493, 924185, 923801, 923347, 922829, 922253?
g**3 - 50*g**2 + 5*g + 924901
What is the q'th term of -32363662, -32363666, -32363670, -32363674, -32363678?
-4*q - 32363658
What is the h'th term of -135881, -542960, -1221419, -2171252, -3392453, -4885016, -6648935?
h**3 - 135696*h**2 + 2*h - 188
What is the r'th term of -465051, -930098, -1395145, -1860192, -2325239, -2790286?
-465047*r - 4
What is the l'th term of 380701, 761536, 1142371, 1523206, 1904041, 2284876?
380835*l - 134
What is the q'th term of 3956, 12446, 20936, 29426, 37916, 46406?
8490*q - 4534
What is the p'th term of 4354, 8764, 13238, 17776, 22378, 27044, 31774?
32*p**2 + 4314*p + 8
What is the k'th term of -353015, -352087, -351159?
928*k - 353943
What is the w'th term of 1806, -751, -4990, -10917, -18538?
-w**3 - 835*w**2 - 45*w + 2687
What is the g'th term of -22973547, -45947105, -68920663, -91894221, -114867779, -137841337?
-22973558*g + 11
What is the g'th term of -15409, -30719, -45983, -61201, -76373?
23*g**2 - 15379*g - 53
What is the q'th term of 3735, 3721, 3697, 3669, 3643?
q**3 - 11*q**2 + 12*q + 3733
What is the o'th term of 63798272, 63798275, 63798280, 63798287?
o**2 + 63798271
What is the j'th term of -331252, -1325008, -2981268, -5300032, -8281300?
-331252*j**2
What is the k'th term of -3805546, -3805657, -3805758, -3805843, -3805906, -3805941, -3805942?
k**3 - k**2 - 115*k - 3805431
What is the g'th term of 1182775, 1182767, 1182753, 1182733?
-3*g**2 + g + 1182777
What is the y'th term of 480, 983, 1586, 2289, 3092?
50*y**2 + 353*y + 77
What is the y'th term of 242938, 242082, 241226, 240370?
-856*y + 243794
What is the x'th term of -29567, -58794, -88021, -117248, -146475, -175702?
-29227*x - 340
What is the z'th term of -43514, -44619, -45724, -46829, -47934, -49039?
-1105*z - 42409
What is the m'th term of 1512, 9067, 16628, 24195, 31768?
3*m**2 + 7546*m - 6037
What is the f'th term of 925, 3244, 6971, 12130, 18745, 26840?
4*f**3 + 680*f**2 + 251*f - 10
What is the p'th term of 519339, 1038603, 1557867, 2077131?
519264*p + 75
What is the c'th term of -2867, -5531, -7981, -10223, -12263?
-c**3 + 113*c**2 - 2996*c + 17
What is the x'th term of -828432, -1656852, -2485272, -3313692, -4142112, -4970532?
-828420*x - 12
What is the p'th term of -34158, -58210, -82262, -106314?
-24052*p - 10106
What is the k'th term of 684, 6318, 21624, 51438, 100596, 173934, 276288, 412494?
806*k**3 - 8*k - 114
What is the k'th term of -211, -778, -2295, -5236, -10075?
-79*k**3 - k**2 - 11*k - 120
What is the h'th term of -4511, -36284, -122583, -290666, -567791, -981216, -1558199, -2325998?
-4543*h**3 - 5*h**2 + 43*h - 6
What is the t'th term of -580041, -1160030, -1739969, -2319858, -2899697, -3479486, -4059225?
25*t**2 - 580064*t - 2
What is the d'th term of 2613, 11508, 26337, 47100?
2967*d**2 - 6*d - 348
What is the f'th term of -6068, -24197, -54398, -96671?
-6036*f**2 - 21*f - 11
What is the s'th term of 212236, 212238, 212242, 212248?
s**2 - s + 212236
What is the m'th term of 14222, 57810, 130756, 233054, 364698?
-m**3 + 14685*m**2 - 460*m - 2
What is the f'th term of 3341, 3356, 3695, 4520, 5993, 8276?
27*f**3 - 174*f + 3488
What is the l'th term of 8296, 8011, 7540, 6883, 6040, 5011?
-93*l**2 - 6*l + 8395
What is the n'th term of -1488074, -1488108, -1488140, -1488170?
n**2 - 37*n - 1488038
What is the x'th term of 7056, 6954, 6852, 6750, 6648?
-102*x + 7158
What is the x'th term of 1907, 7504, 16573, 28898, 44263, 62452, 83249, 106438?
-36*x**3 + 1952*x**2 - 7*x - 2
What is the b'th term of 1441414042, 1441414041, 1441414040, 1441414039?
-b + 1441414
|
{
"pile_set_name": "DM Mathematics"
}
|
2, o: 5, b: 1}.
1/910
Three letters picked without replacement from pnekejjejep. Give prob of sequence njk.
1/330
Two letters picked without replacement from ubjbrbjjbrvjvr. What is prob of sequence ru?
3/182
Calculate prob of sequence mqmt when four letters picked without replacement from mqmqmqmmqqmmtqmtbqm.
7/646
Four letters picked without replacement from {f: 5, x: 1, u: 8, r: 2}. What is prob of sequence fxfu?
1/273
Two letters picked without replacement from rxrreperprrrrperee. Give prob of sequence ee.
10/153
What is prob of sequence iii when three letters picked without replacement from {i: 9}?
1
Two letters picked without replacement from {z: 8, x: 7, n: 4, q: 1}. What is prob of sequence zn?
8/95
Calculate prob of sequence by when two letters picked without replacement from bbqyqbbqqyy.
6/55
Calculate prob of sequence gzgz when four letters picked without replacement from {g: 4, z: 16}.
8/323
What is prob of sequence uu when two letters picked without replacement from {u: 6, m: 13}?
5/57
Three letters picked without replacement from {l: 1, i: 9, f: 1, c: 1}. What is prob of sequence ilc?
3/440
What is prob of sequence uqlg when four letters picked without replacement from {u: 1, q: 5, g: 5, l: 1}?
5/2376
Calculate prob of sequence yjuu when four letters picked without replacement from {u: 8, j: 7, y: 5}.
49/2907
Three letters picked without replacement from {v: 2, k: 6}. Give prob of sequence vkv.
1/28
Calculate prob of sequence an when two letters picked without replacement from {n: 7, a: 3, p: 9}.
7/114
What is prob of sequence xj when two letters picked without replacement from axaaaaajbbab?
1/132
Calculate prob of sequence gz when two letters picked without replacement from nzzznzggcgnznz.
9/91
Calculate prob of sequence eu when two letters picked without replacement from {g: 2, u: 2, j: 1, e: 1, h: 1}.
1/21
Three letters picked without replacement from {d: 7, n: 4, k: 1, f: 1}. What is prob of sequence dfk?
7/1716
Four letters picked without replacement from {o: 4, f: 15}. Give prob of sequence ooff.
35/1292
Three letters picked without replacement from pnyfrly. Give prob of sequence nyp.
1/105
Calculate prob of sequence pgg when three letters picked without replacement from vtztgztvtpv.
0
Calculate prob of sequence ux when two letters picked without replacement from {u: 2, x: 2}.
1/3
What is prob of sequence ccc when three letters picked without replacement from {e: 15, c: 5}?
1/114
Four letters picked without replacement from wxwffdfwwiwbwbxdf. What is prob of sequence didb?
1/14280
Two letters picked without replacement from {l: 2, x: 1, y: 11, d: 1}. What is prob of sequence yl?
11/105
Calculate prob of sequence zrer when four letters picked without replacement from {r: 2, e: 5, z: 8}.
2/819
What is prob of sequence gw when two letters picked without replacement from oldhlwwg?
1/28
Four letters picked without replacement from iiititittiiiitiiiii. Give prob of sequence itii.
455/3876
Calculate prob of sequence vev when three letters picked without replacement from {l: 2, e: 2, u: 6, v: 2, r: 4, w: 1}.
1/1020
What is prob of sequence ss when two letters picked without replacement from {s: 2, l: 9}?
1/55
Calculate prob of sequence wcfc when four letters picked without replacement from wwwwcpwfcwcw.
7/1980
Four letters picked without replacement from {z: 13, i: 3, y: 1, f: 3}. What is prob of sequence zzzf?
143/3230
What is prob of sequence euu when three letters picked without replacement from {e: 5, u: 5}?
5/36
What is prob of sequence ie when two letters picked without replacement from {e: 2, w: 2, i: 2}?
2/15
What is prob of sequence sst when three letters picked without replacement from {l: 5, t: 1, s: 4, y: 3}?
1/143
Calculate prob of sequence wx when two letters picked without replacement from bcxxcocccbcowwxwxq.
2/51
Two letters picked without replacement from {v: 2, b: 2, m: 1}. What is prob of sequence vb?
1/5
Calculate prob of sequence mjrr when four letters picked without replacement from jrwjrjmzjrzzz.
1/715
Calculate prob of sequence aasa when four letters picked without replacement from ssasasssasaassasaaa.
35/646
Two letters picked without replacement from {x: 4, e: 4, s: 12}. What is prob of sequence ss?
33/95
Four letters picked without replacement from qqhqhqqqqqhqqhqqhqqq. What is prob of sequence qqqh?
455/3876
What is prob of sequence nn when two letters picked without replacement from snuoujjojjss?
0
Calculate prob of sequence ooi when three letters picked without replacement from {o: 8, i: 2}.
7/45
Calculate prob of sequence ewg when three letters picked without replacement from {m: 1, e: 4, g: 3, f: 2, w: 2}.
1/55
Four letters picked without replacement from {j: 7, d: 1}. What is prob of sequence jdjj?
1/8
Three letters picked without replacement from {r: 5, u: 7, i: 7}. What is prob of sequence iuu?
49/969
Calculate prob of sequence wwww when four letters picked without replacement from {w: 6}.
1
Calculate prob of sequence kk when two letters picked without replacement from kykkkkykkyk.
28/55
Calculate prob of sequence qqn when three letters picked without replacement from {p: 3, q: 5, l: 6, n: 1}.
2/273
What is prob of sequence ucc when three letters picked without replacement from uuucucs?
4/105
Calculate prob of sequence desi when four letters picked without replacement from sxdeiewxexxxiexe.
1/4368
What is prob of sequence kk when two letters picked without replacement from {k: 3, d: 3, h: 4, e: 7, c: 1}?
1/51
Three letters picked without replacement from {k: 2, x: 8}. Give prob of sequence kkx.
1/45
Calculate prob of sequence zi when two letters picked without replacement from {z: 10, i: 1, h: 1, k: 2, r: 2}.
1/24
Three letters picked without replacement from vmslllmll. What is prob of sequence lmm?
5/252
Calculate prob of sequence pppi when four letters picked without replacement from ippipippppppppp.
11/91
What is prob of sequence ffcf when four letters picked without replacement from fccffccjcjcsffjjfcj?
35/3876
Two letters picked without replacement from {m: 2, d: 1, g: 12, f: 4}. What is prob of sequence dg?
2/57
Two letters picked without replacement from {c: 1, j: 1, v: 4, r: 2, y: 7}. Give prob of sequence cr.
1/105
Three letters picked without replacement from {f: 1, d: 7, m: 1, l: 3}. Give prob of sequence ddf.
7/220
Three letters picked without replacement from tsmmesmsamotetsttsmm. What is prob of sequence mmo?
1/228
What is prob of sequence xeo when three letters picked without replacement from {e: 1, o: 1, x: 5, f: 3, v: 1}?
1/198
Two letters picked without replacement from {o: 5, z: 5, u: 1, y: 4}. Give prob of sequence zo.
5/42
Calculate prob of sequence uawh when four letters picked without replacement from {h: 6, u: 1, a: 1, w: 3, r: 1}.
1/660
Two letters picked without replacement from {s: 1, p: 2, f: 1}. What is prob of sequence sp?
1/6
What is prob of sequence vvb when three letters picked without replacement from {g: 1, b: 1, v: 1}?
0
Two letters picked without replacement from {c: 7, m: 5, r: 7}. What is prob of sequence mr?
35/342
What is prob of sequence dee when three letters picked without replacement from {d: 5, e: 4, r: 7, s: 2}?
5/408
Calculate prob of sequence ee when two letters picked without replacement from {e: 3, z: 4, a: 1}.
3/28
Four letters picked without replacement from vuddnnd. What is prob of sequence udnn?
1/140
What is prob of sequence vtvv when four letters picked without replacement from {a: 3, t: 2, u: 5, j: 3, v: 5}?
1/612
Calculate prob of sequence sepe when four letters picked without replacement from ixiexeixezsxipzizz.
1/12240
What is prob of sequence df when two letters picked without replacement from {d: 2, f: 7}?
7/36
What is prob of sequence fql when three letters picked without replacement from {f: 4, q: 5, l: 7}?
1/24
Three letters picked without replacement from kttzjkzkkoojzb. What is prob of sequence boj?
1/546
Four letters picked without replacement from yiizpyu. Give prob of sequence ypiu.
1/210
What is prob of sequence fz when two letters picked without replacement from {f: 12, z: 6}?
4/17
Calculate prob of sequence gbbb when four letters picked without replacement from {p: 3, t: 5, b: 3, o: 3, g: 4}.
1/3060
Calculate prob of se
|
{
"pile_set_name": "DM Mathematics"
}
|
w + 4 - 4)*(5 - 4 + 1) - 2*w + 7*w - 3*w + (1 + 7 + 1)*(-4*w - 2 + 2).
-30*w
Expand i**2 - i**2 + 2*i**5 + (0*i**2 - i**2 - i**2)*(0 + 0 - 3*i**3 - 2*i).
8*i**5 + 4*i**3
Expand (-2 + 2 - 2*p)*(10*p**2 - p + p)*(-3*p + 0*p + 2*p).
20*p**4
Expand (-q**2 + q**2 + 2*q**2)*(-48*q**2 + q + q + 50*q**2).
4*q**4 + 4*q**3
Expand 0*x**3 + 2*x**3 + 2*x**3 + (2*x**2 - 16*x**2 + 2*x**2)*(3*x - 3*x + 2*x).
-20*x**3
Expand (-21 + 21 - n**3)*(3*n - n - 4*n)*(-3 + 4 + 0).
2*n**4
Expand -9*k + 12*k + 23*k - 2*k + 4*k - 3*k - 5 + 5 + 2*k + 3*k - 4*k + 2*k + (-2 + 0 + 0)*(-4*k + 0*k + 2*k) - 1 - k + 1 + 0 + k + 0.
32*k
Expand 2*u**3 + u**2 - u**2 + (2*u - 3*u + 0*u)*(4*u**2 - 4*u**2 - u**2) + 23*u**3 - 2*u**3 - 2*u**3 - u**3 + 3 - 3.
21*u**3
Expand (2 + 4 - 3)*(2 + 0 - 6*u - 3).
-18*u - 3
Expand (-5*i + 3*i + 3*i)*(0 - 1 - 1 + 5 - 2 - 1 + (-3 - 1 + 2)*(1 + 2 - 2) + 2 - 5 + 2)*(-4*i**2 + 5*i**2 - 3*i**2).
6*i**3
Expand (s - s + 2*s)*((2*s**2 + 2 - 2)*(2*s**2 + 0 + 0) - 8*s + 8*s - 3*s**4).
2*s**5
Expand 7*t - t + 0*t + (-3*t + 3*t + t)*(-3 + 0 + 1).
4*t
Expand (-82 + 82 + 21*n - 10*n)*(-2 + 0 + 1).
-11*n
Expand -v**3 + 3*v**3 - v**3 + (2*v**2 - 3*v**2 - v**2)*(5*v + 7*v - 4*v).
-15*v**3
Expand -3*j**5 + 2*j**5 + 4*j**5 + (0*j + 0*j + 3*j**4)*(-3*j + j - 2*j) + j**5 + 4*j**5 - 4*j**5.
-8*j**5
Expand 2*z - 2*z + 2*z**3 + (-z + 0 + 0)*(4 - 4 - 2*z**2) + 0*z**3 + z**3 + z**3 + 0*z**3 + 0*z**3 - z**3 - z**3 + z**3 + 2*z**3 - 4*z**3 + 2*z**3 + 3*z**3.
8*z**3
Expand (-3*j + 2*j**2 + 2 + 3*j)*(-5 - 1 + 2 + 2*j**2).
4*j**4 - 4*j**2 - 8
Expand (i**2 + 1 - 1)*(-39 + i + 39).
i**3
Expand (4*c - 2 - 3*c - 1)*(10*c**2 - 101*c + 101*c + (5 - 5 - 2*c)*(-5*c + c + 3*c) + c**2 - 3*c**2 + 4*c**2).
14*c**3 - 42*c**2
Expand (0*n**4 - 7*n**4 + 14*n**4 + (0*n**3 - 2*n**3 + n**3)*(-4*n + 4*n - 2*n) + 2*n**4 - 2*n**4 + 2*n**4 + n**4 - 2*n**3 + 2*n**3)*(-3*n + 7*n - 3*n).
12*n**5
Expand -18*m**3 + 15*m**3 - 6*m**3 + (-2*m + 0*m + 4*m)*(0 + m**2 + 0) - 2*m**3 - 2*m**3 + 6*m**3 + 0*m**2 + 0*m**2 + m**3 + 3*m - 2*m**3 - 3*m.
-6*m**3
Expand (t**3 - 4*t**3 + t**3)*(4 - 8 - 4*t + 3).
8*t**4 + 2*t**3
Expand w - 4 + 4 + (2*w + 1 - 1)*(-1 - 1 + 1) - 1 + 1 - 3*w + (-1 + 0 + 0)*(4*w - w - 5*w) + 8 - 18*w - 8.
-20*w
Expand 0*w + 0*w**2 - 5*w**2 + w + (-4*w**2 - 3*w**2 + 3*w**2)*(1 - 5 + 5) - 2*w**2 - w**2 + 2*w**2.
-10*w**2 + w
Expand (5*g - 17*g - 6*g + (5 - 2 - 4)*(2*g - 3*g + 3*g) + 1 - 2*g - 1)*(-4 + 2*g + 4)*(3*g**2 - g**2 - g**2).
-44*g**4
Expand 4*i - 4*i + 4*i**4 + (-3*i + i**2 + 3*i)*(-2*i**2 - 2*i + 3 - 3).
2*i**4 - 2*i**3
Expand (-4 - 3 + 5)*(-2*s**4 - 2*s**4 + 3*s**4) + 18*s**4 + 31 - 7*s**4 - 12*s**4.
s**4 + 31
Expand -4*j**2 - j**2 + 3*j**2 + (-3*j + 0*j + 0*j)*(3*j - 3*j + 2*j - 2*j + 5*j - 2*j + (-3*j + 5*j + 0*j)*(-1 + 1 + 1) + 0*j - 2*j + 4*j).
-23*j**2
Expand (-2*y**4 + 0*y**4 + 3*y**4)*(809 - 407 - 404 - 90*y).
-90*y**5 - 2*y**4
Expand (-5*z**3 + 0*z**3 + 4*z**3)*(8 + 10 - 30).
12*z**3
Expand (0*v**2 - 10*v**2 - 4*v**2)*(-5*v**2 + 5*v**2 + 4*v**3).
-56*v**5
Expand (-2*g - 3*g + 3*g)*(1 - 5 + 0)*(2 - 2*g**2 - 2).
-16*g**3
Expand ((3 + 1 - 2)*(-2*r - 2 + 2) + r - 1 + 1 - 4 + 4 + r)*(19 - 19 + 3*r).
-6*r**2
Expand ((-25*p + 25*p + 29*p**2)*(1 - 4 + 1) + p**2 - 4*p**2 + p**2)*(3*p + 2*p - 4*p)*(1 - 2 - 1).
120*p**3
Expand (1 + 1 + 0)*(-4 + 1 + 0)*(-y**3 - y**3 + y**3).
6*y**3
Expand -2 + 2 + x**2 - 1 + (-x - 2*x + 5*x)*(x + x - 3*x).
-x**2 - 1
Expand (2*q + 2*q - 1 - 3*q)*(6 - 2 + 0).
4*q - 4
Expand (10 - 3*i - 7 - 2*i)*(-1 - 3 + 5).
-5*i + 3
Expand (-2 + 4 + 0)*((-4*y + 3*y - y)*(3 - 1 - 1) + 0 + 0 + y).
-2*y
Expand (3*z - 2*z - 3*z)*(z - 2*z + 3*z + (2*z + 0*z + 0*z)*(0 + 1 + 0) + 42 + 2*z - 42).
-12*z**2
Expand (l + 0*l + 0*l)*(-2 + 0 + 3) - l + 3*l + l + 3 - 4*l + 3*l - 2*l.
l + 3
Expand (0*u - 2*u + u + (3 - 3 - 2*u)*(-5 + 3 + 0) + 3*u - u + u)*(-u - 2 - u + 4).
-12*u**2 + 12*u
Expand (2*g**2 - 4*g**2 + 14*g**2 + (-2*g + 6*g - 2*g)*(0*g + 0*g - 2*g) + 2*g**2 - 2*g**2 + 2*g**2)*(-3*g**3 + 2 + 2 - 5).
-30*g**5 - 10*g**2
Expand (-y + 4*y - y**2 + 2*y**2)*(-y + 4*y + 3*y).
6*y**3 + 18*y**2
Expand (3*v**3 - 2*v**3 - 3*v**3)*(-1 + 1 - 2*v) + 10*v**2 + 65*v**4 - 126*v**4 + 62*v**4.
5*v**4 + 10*v**2
Expand (2*w + 7*w + 4*w)*(2*w**3 - w**3 + w**3) + 0*w**4 - 4*w**4 + 2*w**4.
24*w**4
Expand 0*x**3 - 2*x**3 + 4*x**3 + (-3*x - 2*x**2 + 3*x)*(-6*x + 4*x + 0*x) + (-2 + 2 + 2*x)*(0 + 0 + 3*x**2).
12*x**3
Expand (6*s**3 + 9*s**3 - 5*s**3)*(6 + 2 - 4).
40*s**3
Expand (-5*x + 5*x - 2*x**2)*(-15 + 45 + 31).
-122*x**2
Expand (3 - 3*p + p - 6)*(2 - 2 - p).
2*p**2 + 3*p
Expand (2*h**2 - h**2 + h**2)*(3 - 4 + 2) + h**2 - 2*h**2 + 2*h**2 + 2 - 2 - h**2 + (0*h + 0*h - h)*(17*h - 3*h - 9*h).
-3*h**2
Expand (4*n - n - 2*n)*(-4 + 2 + 0).
-2*n
Expand (3*z + 0*z**2 + 13*z**2 - 9*z**2)*(-3*z - 4*z + z).
-24*z**3 - 18*z**2
Expand (0*w - w + 0*w)*(7*w + 6*w + 6*w)*(-1 - 2*w + 1).
38*w**3
Expand (0 - 4 + 0*c**2 - 2*c - 2*c**2)*(-33*c**2 + 14*c**3 + 33*c**2).
-28*c**5 - 28*c**4 - 56*c**3
Expand 0*i + 2*i - 3*i + (2 - 4 + 0)*(-9*i - 3*i + 34*i).
-45*i
Expand b**4 - b**4 + b**4 + (0*b + 3*b**3 + 0*b)*(-1 + b + 1).
4*b**4
Expand -6*b**3 + 3*b**3 - b**3 + (b**2 + 3*b**2 - 5*b**2)*(-b - 2*b + b) + (1 - 1 - 2*b)*(-4*b**2 + 0*b**2 + 2*b**2).
2*b**3
Expand (4 - 3 + 1)*(-b**3 - b**3 + 4*b**3) - 129 + 129 + 7*b**2 + b**3.
5*b**3 + 7*b**2
Expand -2*b - 5 + 5 - 4*b + b + b + (0*b + 2*b + 0*b)*(3 - 3 - 2) + (-5 - 2 + 5)*(-8 + 8 - 7*b).
6*b
Expand (-3*i + 6 - 6 + (i + 4*i - 3*i)*(-2 + 0 + 3) + (2*i + 0 + 0)*(-1 + 2 + 0))*(2*i - 3*i**4 - 2*i).
-3*i**5
Expand (2*b - 2*b + 2*b**2)*(-7*b + 5 - 5)*(b**2 - 1 + 1).
-14*b**5
Expand -1 + 2*v + 1 + (0 - 5 + 2)*(2*v - 1 + 1) - 2*v - 2*v + 0*v.
-8*v
Expand (-4 + 9 + 2)*(2 - 2 - 2*t).
-14*t
Expand (-3 + 3 + 1)*(1 - m - 1) - 8*m + 4*m + 2*m + (4 - 4 - m)*(-3 + 3 + 2).
-5*m
Expand (3*s + 5*s + s)*(-3*s**4 + s**4 + 4*s**4).
18*s**5
Expand (3*b**2 + 2*b**2 - 2*b**2)*(-7 - 14*b + 7).
-42*b**3
Expand (-1 - 3 + 1 + (4 - 4 + 5)*(0 - 3 + 2))*(0*g**3 + 0*g**3 - 2*g**4).
16*g**4
Expand -2*c + 2*c - c + (0 + 6 - 4)*(2*c - 3*c + 4*c) + 4*c + 0*c - 6*c + 6*c + 9 - 9 + (0*c - 2*c + 0*c)*(4 + 2 - 4).
5*c
Expand (1 - w - 1)*(2*w**2 + 5*w**2 - 3*w**2) - 5*w + 0*w**3 - 2*w**3 + 0*w**3.
-6*w**3 - 5*w
Expand (2*l + 0*l + 0*l)*(l**4 + 4*l**4 - 6*l**4) + (0*l**3 - 3*l**3 + 0*l**3)*(2*l**2 - 2*l + 2*l).
-8*l**5
Expand (3 - 3 - d)*(-7 - 2*d - d + 5*d).
-2*d**2 + 7*d
Expand (r - 3 + 3)*(1 - 1 - 2)*(r**2 + 2 - 2 + (r - 5*r + 3*r)*(-r + 3*r - 4*r) - r**2 - r**2 + 3*r**2).
-8*r**3
Expand (0*p + 0*p + p**3 + (2*p + 2 - 2)*(-3 - 2*p**2 + 3) - p**3 + 6*p**3 - 4*p**3 - p**2 + p**2 + p**3)*(-p + 4*p - 2*p).
-p**4
Expand (3*b**3 - b**3 + 2*b**3)*(b**2 + 0*b - b - b).
4*b**5 - 8*b**4
Expand (0*i - 5*i + 3*i)*(0 + 0 + 3*i + (1 - i - 1)*(-2 + 2 - 1)).
-8*i**2
Expand 3*a**2 - 4*a**2 + 0*a**2 + a - 2*a**2 - a + (-1 - 1 + 0)*(4*a**2 - 2*a**2 - a**2).
-5*a**2
Expand (d - 2*d + 2*d)*(3 - 3 - 2*d**2) - 54*d + 54*d + 6*d**3.
4*d**3
Expand (-4 - 8 + 1)*(-3 + 3 + 1)*(2*o - o + 0*o).
-11*o
Expand -8*l**5 + 4*l**2 - 4*l**2 + (4*l + 3*l - 5*l)*(-3*l**4 - 2*l**4 + 3*l**4) + 4*l - 2*l**5 - 4*l + l**5 + 0*l**4 + 0*l**4.
-13*l**5
Expand (-2*p**3 + 4*p**3 - p**3)*(-353*p - 32*p**2 + 353*p).
-32*p**5
Expand (x + x + 0*x + (-2 + 2 + 2)*(2*x + 0 + 0) + 1 - 1 - 2*x)*(-6*x**3 + x**3 - 2*x**3).
-28*x**4
Expand (7*c + c + 4*c + (1 - 1 - 1)*(-2*c - 2*c + 3*c))*(-c - 2*c + 4*c).
13*c**2
Expand (-34*q**4 + 57*q**4 - 2*q + 2*q)*(2*q + 3*q - 3*q).
46*q**5
Expand -2 - 2*t - 6*t - 2*t - 5*t + 2*t + 5*t + 2*t - 2*t - 2*t + (2*t + 0*t + 0*t)*(-4 + 2 + 1).
-12*t - 2
Expand (0*t**2 + 0*t**2 - t**2)*(-18*t**3 - 318*t**2 + 318*t**2).
18*t**5
Expand 2*z + z**5 - 2*z + 2*z**4 + z**5 - 2*z**4 + (0*z**2 - z**3 + 0*z**2)*(-2*z**2 + 0*z + 0*z) + (4*z**2 + 2*z**2 - 4*z**2)*(-z**3 + 9*z**3 + 2*z**3).
24*z**5
Expand (2*j - 2*j - 3*j)*(2*j - j**2 - 2*j) + 5*j**3 + 16*j**2 - 16*j**2.
8*j**3
Expand -t - 2*t**3 + t - 4*t**3 + 0*t**3 + 2*t**3 + (-3*t - 2*t + 3*t)*(t**2 + 3*t**2 - 3*t**2) + t + t**3 - t.
-5*t**3
Expand (-2 - 3*u + 11*u + 17*u)*(4*u - 2*u - 4*u).
-50*u**2 + 4*u
Expand (2*y + y**2 - 2*y)*(4 - 4 - y) + (y**3 - 4*y**3 + y**3)*(-2 + 5 - 4).
y**3
Expand ((-4 + 1 + 5)*(3 - 1 + 0) - 1 + 3 - 1 + 6 - 4 - 4 - 1 + 5 - 2)*(-4*m**2 - 2*m**2 + 5*m**2).
-5*m**2
Expand 5*h -
|
{
"pile_set_name": "DM Mathematics"
}
|
0.4 * -1429.62268
-571.849072
Multiply -300.23063 and 5.
-1501.15315
Work out 58 * -146110.
-8474380
0.1861 times 555
103.2855
What is the product of -0.0855 and 496038?
-42411.249
Calculate 0.3*-4168661.
-1250598.3
1*-2426092
-2426092
Multiply 80.82 and -0.986.
-79.68852
Work out -0.78 * 12766.
-9957.48
Product of 0 and 2629582.
0
Calculate -13768*-161.6.
2224908.8
Product of 0.5 and 874.6907.
437.34535
Product of 0.5 and -1136.9617.
-568.48085
0.03*109.917
3.29751
Multiply -30 and 0.2083616.
-6.250848
Work out -36100831 * 0.5.
-18050415.5
-0.5*-290371.2
145185.6
Product of 3 and 246999.1.
740997.3
What is the product of 0 and -3348705?
0
What is 3.809 times -2.407?
-9.168263
7815.3*-584
-4564135.2
-1976452 * 0.105
-207527.46
0.8767 times 0.491
0.4304597
Work out 11.8259 * -15.2.
-179.75368
Product of 8.456 and -2538.
-21461.328
Calculate 149*5085.46.
757733.54
What is the product of -10103806 and 0.33?
-3334255.98
32.7 times 6883.6
225093.72
Multiply -0.07435 and -0.10096.
0.007506376
What is 0.6 times 1004830?
602898
-3865393*29
-112096397
Work out -0.0106 * 54451.
-577.1806
-3 * 54018291
-162054873
8 times 123576.473
988611.784
Multiply 0 and -32548690.
0
13514.2*-1716
-23190367.2
Work out 0.1 * 0.35637164.
0.035637164
What is -8.3 times -1.818563?
15.0940729
Calculate -32235*-29.9.
963826.5
Multiply 0.1531925978 and 0.2.
0.03063851956
-158.103*686
-108458.658
Calculate -4507*-77.
347039
-0.34009*111.8
-38.022062
14439.8*4.6
66423.08
What is 0.1 times -3375044?
-337504.4
What is 26553.63 times 6?
159321.78
Multiply -6.16011 and -369.
2273.08059
Calculate -147921*-0.472.
69818.712
-0.75642316*-1
0.75642316
What is the product of -0.585 and 0.56802?
-0.3322917
Work out 3 * 0.0744404.
0.2233212
What is the product of 40.372333 and -1.4?
-56.5212662
Calculate -0.83*-212600.
176458
What is 17.61 times 1758?
30958.38
0.1 times -27878056
-2787805.6
18.145 times -0.011186
-0.20296997
Calculate -229*-0.041109.
9.413961
-1499 * 840413
-1259779087
Calculate 19.53428*-0.1.
-1.953428
What is the product of -4 and 5131478?
-20525912
Multiply 38.50585 and 0.98.
37.735733
Multiply 0.4 and -1965339.
-786135.6
Multiply 0.157994 and 249.
39.340506
-5.92*17950
-106264
Multiply -12855671 and 0.03.
-385670.13
Multiply 503738801 and -0.4.
-201495520.4
4*-139958237
-559832948
Work out 0.0613 * -46022.
-2821.1486
2 * 4023127
8046254
Product of 0.29 and -589348.
-170910.92
What is 0.44 times -17081588?
-7515898.72
Calculate 2972*-33332.
-99062704
What is -2 times 300.9421?
-601.8842
Product of 1240583 and 0.
0
50.164 times 1.81
90.79684
0.1 times -22.339011
-2.2339011
Calculate 0.3*-508653.
-152595.9
What is -261.91 times -11550?
3025060.5
What is the product of -1825 and 15.87?
-28962.75
Product of 0.043 and -1353008.
-58179.344
0.8 * -1.503873
-1.2030984
Calculate 3918*-31755.
-124416090
-2537*-355
900635
What is -9 times -338776?
3048984
What is the product of 939778 and 84?
78941352
What is 264 times -156258?
-41252112
Calculate 573.7083*-9.
-5163.3747
Multiply -1368.307 and -6.
8209.842
563245 times -1.67
-940619.15
Calculate 1116*0.5092.
568.2672
What is -0.3 times 2.919015?
-0.8757045
What is -2421.75879 times 0.4?
-968.703516
Product of 284.91082 and -7.
-1994.37574
What is -5 times 1449954?
-7249770
What is the product of -1315 and 6538?
-8597470
What is the product of -0.205 and -1187811?
243501.255
Product of -4 and 3593818.
-14375272
-14219325*8
-113754600
-1015 * 0.00516
-5.2374
Calculate -3.08*49.1515.
-151.38662
Product of 178 and -60599.
-10786622
Product of 4.146 and 593.
2458.578
-0.14*3855.6
-539.784
Multiply -99273760 and -0.3.
29782128
Multiply 28.9 and 147936.
4275350.4
-3590.98 * 1.9
-6822.862
-10904962 * 31
-338053822
Calculate -10*-329316.
3293160
-18.674799*0.29
-5.41569171
-0.01*0.0903599
-0.000903599
Product of -12 and 710136.
-8521632
Product of 0.1 and -2246363.
-224636.3
What is the product of -0.04 and -165772361?
6630894.44
What is 0.04 times -2.16834609?
-0.0867338436
Product of 23564.9808 and 2.
47129.9616
What is the product of -0.15 and -657137?
98570.55
Calculate -11882*-6.12.
72717.84
Multiply -4 and -1241.573.
4966.292
-5.15772 times -0.1363
0.702997236
Product of -1.55394 and -0.2.
0.310788
What is the product of 15890 and -4.9?
-77861
Calculate -80255*-79.
6340145
Work out 0.077 * -4.0011.
-0.3080847
-185369931 * 0
0
Work out 17.29079 * 0.087.
1.50429873
Calculate 194*-46719.
-9063486
960 times -144796
-139004160
What is the product of 2761708.6 and 4?
11046834.4
Product of -2435.92 and -529.
1288601.68
Product of -211191384 and 0.
0
Product of -22039906.4 and 0.1.
-2203990.64
What is the product of -1.3 and -1072416?
1394140.8
Product of -0.3 and 129678719.
-38903615.7
Work out 35149253 * 10.
351492530
-48*9861.2
-473337.6
4292.5 times -247
-1060247.5
0.64 times 207605
132867.2
What is the product of 279084 and -379?
-105772836
0.09 times 112074.55
10086.7095
-157.57 times 9.76
-1537.8832
Multiply -31512 and -0.334.
10525.008
Work out -1416962 * -225.
318816450
8.0629*-0.42
-3.386418
Work out 27 * -0.03434911.
-0.92742597
-203903941*-0.2
40780788.2
0.008 times -5.777
-0.046216
Calculate -1738*-790.
1373020
Multiply 117771690 and 0.4.
47108676
Multiply 0.205 and -0.1055783.
-0.0216435515
Work out 6066.14 * -947.
-5744634.58
Product of -9 and -380090.42.
3420813.78
-1.42477081 times 0.3
-0.427431243
What is 4986014 times 29?
144594406
What is -110.3959 times -38?
4195.0442
-0.452 * 1.0894
-0.4924088
Multiply -0.0213 and 8971.
-191.0823
Multiply 312152 and -2.15.
-671126.8
6.965776 times 1
6.965776
What is -13 times -1118355?
14538615
What is 154.7397 times 3.6?
557.06292
0.07051 * -0.044
-0.00310244
What is -731 times -1442?
1054102
What is -0.2 times 205.967?
-41.1934
-28 times -1288649
36082172
Work out 13 * -26581830.
-345563790
What is 328567.666 times -0.2?
-65713.5332
Work out -0.047 * -209749.
9858.203
-43.75076 times 3
-131.25228
What is -8044358 times 4?
-32177432
Calculate 13892033.7*0.3.
4167610.11
What is 2114.6 times -272.1?
-575382.66
Multiply -0.14 and -3594311.
503203.54
Work out 2 * -18548085.
-37096170
-11602 times 203.3
-2358686.6
25683053 times -0.9
-23114747.7
What is -8 times -11.08986?
88.71888
What is the product of 0.233 and 31064?
7237.912
Product of 0.718 and 11.8854.
8.5337172
What is 51505942 times -5?
-257529710
What is -45868 times -1.17?
53665.56
9.421636 times 1
9.421636
-22.6391*1867
-42267.1997
Work out 5 * -37217129.
-186085645
-0.5 * 35450849
-17725424.5
Calculate 24836131*0.16.
3973780.96
Product of -0.1 and 81248166.
-8124816.6
369910 times -0.034
-12576.94
Multiply -5.0985 and 35.87.
-182.883195
Multiply -0.2 and -725.7421.
145.14842
Work out -3629273 * -1.7.
6169764.1
1252 * 1366.3
1710607.6
-1549 * 439190
-680305310
What is 505.44134 times -0.1?
-50.544134
What is -18.21 times -1470.9?
26785.089
What is -0.53 times -0.3924867?
0.208017951
-6*6833014
-40998084
Calculate 0.8222*-2.4.
-1.97328
Multiply 239 and -2524.9.
-603451.1
What is 0.46 times 1434385?
659817.1
0.0533099905 times -3
-0.1599299715
-0.149 times -183767.9
27381.4171
What is -162 times -601092?
97376904
What is 0.1 times 1034.941?
103.4941
Work out -6 * -328.7317.
1972.3902
-447.6 * -27057
12110713.2
What is 7854.277 times -0.2?
-1570.8554
-0.1621553 * 3
-0.4864659
Calculate 69.4309503*5.
347.1547515
Multiply 7304 and -42791.
-312545464
What is the product of -8704312 and 12?
-104451744
10*-39291117
-392911170
Work out 0.8 * 13757648.7.
11006118.96
What is 0.5 times 4250657?
2125328.5
-4 times -3.8835966
15.5343864
What is the product of -81274.6 and -11?
894020.6
Multiply 0.13 and 43.134679.
5.60750827
542.553 * -62
-33638.286
What is 41220 times -1748?
-72052560
1438 * -17213
-24752294
Work out 3 * 37239.45.
111718.35
Calculate 1247551*-0.21.
-261985.71
Multiply 2 and 0.021204.
0.042408
-1655 times 35138
-58153390
Multiply -1.42994 and 0.04.
-0.0571976
Multiply 28 and 804.33.
22521.24
-18892.988 * 0.69
-13036.16172
-0.038 * -1285677
48855.726
What is the product of -10.18 and 2032.64?
-20692.2752
What is 5178686 times 3.57?
18487909.02
What is the product of -28.9876 and 546?
-15827.2296
What is the product of -0.2 and 30.321?
-6.0642
Work out -1601 * 4268.
-6833068
-713646*5.09
-3632458.14
Work out -0.75 * -418
|
{
"pile_set_name": "DM Mathematics"
}
|
in the form k*d + f and give f.
0
Express -20404 - 2*s**4 - 10*s - 20*s**3 + 20406 - 15*s**3 + 2*s**3 + 4*s**4 as h*s**4 + n*s**2 + k + i*s**3 + m*s and give h.
2
Rearrange 13 + 5*i**2 - 2*i**3 + 27*i**2 - 35*i**2 + 4*i to the form r*i + q + x*i**3 + d*i**2 and give x.
-2
Rearrange 22 + 21 + 16 + 13 - 1811*p - 70 to k + z*p and give k.
2
Express 66 + 3*a - 200 + 68 - 2*a**2 + 179*a**3 + 66 in the form o*a**2 + k*a + p + d*a**3 and give k.
3
Express -23*v + 23*v - 2*v**2 + v - 10 - 41*v**2 + v**3 in the form n*v**3 + m*v + t + a*v**2 and give m.
1
Express -30*f**2 + 15*f**2 + 74 + 17*f**2 + f - 75 - f**3 + 80*f**4 in the form g*f**4 + y*f**2 + w*f + o*f**3 + h and give o.
-1
Express -13 - 32 + 91*d - 24 + 61 in the form q + y*d and give y.
91
Rearrange 28*u**2 + u**3 + 12*u - 3*u - u - 6*u - 1 + 3 to the form h*u + q*u**2 + a*u**3 + y and give a.
1
Express -m + 585 - 19*m**3 - 12*m + 6*m**3 + 14*m as a*m + t*m**3 + n*m**2 + f and give f.
585
Rearrange -7895*n + 5 + 10 - 23 + 0 + 10 to the form g*n + h and give h.
2
Rearrange 152*u**2 - 4*u - 66*u**2 - 11 - 48*u**3 - 71*u**2 - 4*u**3 - 14*u**2 to the form m*u**2 + l*u**3 + i*u + p and give m.
1
Express (3495*d**2 - 117*d + 117*d - 4954*d**2 - 10264*d**2 - 18043*d**2)*(-1 + 1 - 1) in the form n + l*d**2 + t*d and give l.
29766
Rearrange (-17*b**2 - 6*b**2 - 12*b**2)*(5*b**2 - 6*b**2 - 15*b**2) to a*b + n*b**4 + d*b**3 + x*b**2 + p and give n.
560
Rearrange 1893*o + 5339*o + 1451*o - 614*o to the form s*o + j and give s.
8069
Rearrange -6 + 6 - 11*u**2 + (1 - 2*u - 1)*(0 + u + 0) + 62*u + 2*u**2 - u**2 - 3*u**2 to the form g*u**2 + m*u + j and give g.
-15
Express k**2 - 68 + 260*k + 2*k**3 - 7*k**2 - 143*k - 116*k as q + c*k + h*k**3 + i*k**2 and give q.
-68
Express -a**2 - 2*a**2 + 3680 + 2*a**2 - 3292 + 10611 in the form n + z*a**2 + x*a and give n.
10999
Rearrange -260*p**2 + 475*p**2 - 2*p**3 + 27*p - 1 - 217*p**2 + 49*p to the form g*p + q*p**2 + x*p**3 + o and give o.
-1
Express (606 + 1328 + 704 - 160)*(-2*w + 3 - 3 + (-3*w + 5*w - 4*w)*(0 + 4 - 2) + 0*w + 2*w + 0*w - 2*w + 3 - 3 + 2*w + 1 - 1) as p + o*w and give o.
-9912
Express -1031*f**2 - 1578*f**2 - 5 + 3 + 2 as k*f**2 + t*f + b and give k.
-2609
Express ((95 - 51 + 38)*(p - 3*p + 0*p) - 5*p + 3*p - 2*p)*(p - p - 3*p**3) + 0*p**4 + 2*p**4 - p**4 in the form b + i*p**4 + j*p**2 + l*p**3 + w*p and give i.
505
Rearrange -203 - 12*s**2 - 272 + 9*s**3 - 88 - 14*s**3 + 6*s**3 to r*s + j*s**3 + z*s**2 + m and give m.
-563
Express -21*a - 473*a**3 + 921*a**3 + 10 - 461*a**3 + a**2 - 8*a**4 + 20*a in the form g + v*a**2 + y*a + c*a**3 + j*a**4 and give v.
1
Rearrange 4 - 62*s + 0 + 136*s - 2 + 599*s to the form v*s + q and give v.
673
Express -91*d**2 + 5*d**2 + 53*d**3 + 43*d**2 + 44*d**2 + 8 in the form v*d**3 + c*d + t*d**2 + j and give t.
1
Rearrange (2 - 2 + 2*w)*(-w**2 - 5 + 5) + (3882 - 83*w + 180*w - 96*w + 1053)*(7*w - 7*w + 5*w**2) to s*w + m + t*w**2 + h*w**3 and give m.
0
Rearrange (-95 - 345 + 10)*(4*i - 2*i + 6*i**3 - i) to the form v*i**2 + n*i + l + w*i**3 and give n.
-430
Express 482 - 821*o - 200 - 468*o - 282 in the form y + m*o and give m.
-1289
Express -2*u**3 - 2*u**2 - 171*u + 85*u + 26 + 73*u in the form f*u**3 + i*u**2 + c*u + z and give c.
-13
Express -1017*p**2 + 44 + 82 - 125 - 2*p**3 in the form n*p**3 + r*p**2 + m + l*p and give m.
1
Express -572*y - 562*y - 2352*y**2 + 1135*y + (2 + 1 - 1)*(-y + y - 2*y)*(-2 - 2*y - 1 + 2) in the form g*y + n*y**2 + h and give g.
5
Rearrange 1257*c - 4621*c - 4499*c to the form l + k*c and give k.
-7863
Rearrange -1390*g**3 - 44056 + 44056 + (-5*g + 9 - 9)*(-4*g**2 + 2*g**2 + 0*g**2) to the form w*g**2 + d*g + l + o*g**3 and give o.
-1380
Rearrange 333*i - 57*i - 4 + 284*i + 865*i + 374*i to s*i + p and give p.
-4
Express -3*p**2 + p**4 + 11685 - 2*p**4 - 2*p**3 - 23361 + 0*p**4 + 14*p + 11677 in the form h + b*p**2 + l*p**4 + x*p**3 + v*p and give v.
14
Express -1 + 48*z**2 + 5*z**4 + 18 - z + 2*z**3 - 50*z**2 - 29*z**4 as l*z**4 + o*z**2 + g*z**3 + k + r*z and give l.
-24
Rearrange 104757*i**2 - 51802*i**2 + 5 - 51242*i**2 to the form u*i + v + s*i**2 and give s.
1713
Rearrange 87699*q**4 - 175404*q**4 + 1128*q**3 + 87701*q**4 + 0*q - 3*q**2 - 2*q + 4*q**2 to h*q**2 + d + g*q + t*q**4 + c*q**3 and give h.
1
Rearrange 180357*f**2 - 90178*f**2 - 90185*f**2 - 1042 to z*f**2 + q + p*f and give q.
-1042
Rearrange (9 - 21 + 27)*(-2 + 3 + 10)*(51*m + 34*m - 18*m) to v*m + s and give v.
11055
Rearrange (-84774*i**4 + 170084*i**4 - 84670*i**4 + 5*i**2)*(3 - 4 + 2) to p + s*i**4 + x*i**3 + m*i + j*i**2 and give j.
5
Express 2*g**4 - 5*g**4 + 2*g**4 + (5*g**2 - 2*g**2 - 2*g**2)*(20522*g**2 - 12197*g**2 + 18594*g**2) as n + d*g**3 + v*g + i*g**2 + l*g**4 and give l.
26918
Express -t + 3*t - t + (2905*t - 264*t + 3701*t)*(-4 + 2 + 3) in the form g*t + d and give g.
6343
Rearrange -9*h**3 - h**3 + 7*h**3 - 1629 + 5*h**2 + 1611 - 2*h to b + m*h + n*h**2 + s*h**3 and give b.
-18
Rearrange 6*l**2 + 4*l**2 - 2*l - 199 - 12*l**2 + 0*l**2 to t*l**2 + w + x*l and give w.
-199
Rearrange -4 - 26 + 9 - 8*r**2 + 8*r**2 - r - 25*r**3 to the form q*r**3 + f*r + o + t*r**2 and give q.
-25
Express b**3 + 499 + 0*b**3 - 322 - 160*b + 4*b**4 + 159*b as h + m*b**3 + l*b**4 + r*b**2 + f*b and give h.
177
Express (2312 - 41*g + 154*g - 2298)*(-2 - 2 + 1) as u + s*g and give s.
-339
Rearrange -350*y + 352*y + 23 + 1241*y**3 + 30*y**4 - 1240*y**3 to l*y**2 + a*y**3 + g + p*y**4 + t*y and give a.
1
Rearrange 52*y**2 + 5*y**3 + 2438 - 28*y**2 - 21*y**2 + y - 2337 to the form x + j*y**2 + o*y**3 + u*y and give u.
1
Rearrange (7 + 19*s - 51*s - 9)*(-1715 + 1715 - 65*s) to the form w + i*s + x*s**2 and give w.
0
Rearrange (1 + 1 + 0)*(-2 + 2*i + 2) + 1 + i - 1 - 1407*i - 1444*i - 8064*i to the form x + m*i and give m.
-10910
Express -31 - 7045*a**2 + 31 - 8711*a + 8711*a as o + l*a + d*a**2 and give d.
-7045
Express (-9 - 9 + 6)*(-78683*w + 78687*w - 170 - 111) as n*w + v and give v.
3372
Express (4 - 1 - 1)*(-414*n**2 + 618*n**2 - 1222*n**2)*(3*n**2 - 2*n**2 - 5*n**2) in the form h*n**4 + f*n + w*n**2 + p + l*n**3 and give h.
8144
Rearrange (1122 - 1095 + 1439)*(3 - m - 3) to the form c + y*m and give y.
-1466
Rearrange 9*r**2 - 230 - 24*r**3 - 229 + 458 - 9*r**3 to the form s*r**3 + t + n*r**2 + f*r and give s.
-33
Express -4478*s - 2 + 4479*s + 22*s**3 - 14*s**3 + 4*s**4 + 15*s**3 + 12*s**3 + 3*s**2 as p*s**3 + h*s**2 + q*s**4 + c*s + a and give p.
35
Rearrange 10*c + 7 - 2*c**2 - 26 - 35*c + 12 - 2*c**2 to the form b*c + z + l*c**2 and give z.
-7
Rearrange -i**3 + 325 + 300 - 43*i - 627 + 5*i**3 to z*i**2 + b + q*i + y*i**3 and give b.
-2
Rearrange -r - 1367 + 4*r + 600 + 657 to the form n + t*r and give t.
3
Rearrange -121*j**2 + 4*j**3 + 3*j**4 + 196*j**2 + j + 46 - 76*j**2 to o*j + x + l*j**2 + c*j**3 + f*j**4 and give l.
-1
Rearrange 15*g + 3*g**4 + 3*g**4 + 2*g**2 - g**4 - 40*g - 2*g**4 - 10 to the form s + y*g**2 + d*g**3 + p*g + f*g**4 and give f.
3
Rearrange 325*k + 2244*k + 906*k to i + z*k and give z.
3475
Express 188*j**3 + 129954 + j - 64977 - 64979 in the form i*j**3 + k + a*j**2 + l*j and give l.
1
Rearrange -29*g**2 - 688*g + 66*g**2 + 1839*g - 36*g**2 + 2422*g to b*g**2 + s + q*g and give q.
3573
Rearrange -3*k**3 + k**2 + 2 - k - k - 4228*k**4 + 8434*k**4 - 4215*k**4 to the form n*k**3 + v*k**2 + i*k + s*k**4 + h and give i.
-2
Rearrange 25*p**3 + 0*p**3 - 11*p**3 + (-3*p + 2*p - p)*(0 + 2*p**2 + 0) to the form w*p + n*p**3 + k*p**2 + d and give n.
10
Rearrange -36*s - 33*s - 36*s + 452 + 136*s - 33*s to the form m*s + b and give m.
-2
Rearrange (-2640 + 10946 - 2798 - 2451 - 2563)*(4*t - 4*t - 7*t**2) to the form w*t + c*t**2 + y and give c.
-3458
Rearrange (3*i + 3*i - 4*i)*(223 - 726 + 2892)*(6*i**3 - 3*i**3 - i**3) to the form f + r*i + q*i**3 + o*i**4 + c*i**2 and give o.
9556
Rearrange 269*u - 77*u - 91*u - 101*u + 23690*u**2 to the form t + q*u + m*u**2 and give m.
23690
Rearrange ((39 - 3 + 3)*(-2 + 0 + 0)*(6*w - 4*w - 3*w) + (-4*w + 3*w + 2*w)*(1 + 1 - 4))*(154 + 22 - 8) to the form p*w + n and give p.
12768
Rearrange 7*h**3 - 95*h - 2*h**2 - 8*h**3 + 4*h**2 - h**2 - 2 - 22*h to z*h**3 + v*h + y + b*h**2 and give y.
-2
Express 451*c - 115*c**2 - 451*c - 12 + 6*c**2 + 12 + (-c + 3*c -
|
{
"pile_set_name": "DM Mathematics"
}
|
he o'th term of -54, -260, -612, -1116, -1778, -2604?
-o**3 - 67*o**2 + 2*o + 12
What is the z'th term of -58, -55, -52, -49, -46?
3*z - 61
What is the k'th term of -167, -699, -1593, -2855, -4491, -6507, -8909?
-k**3 - 175*k**2 + 9
What is the m'th term of -4341, -8682, -13023, -17364?
-4341*m
What is the m'th term of -3, 7, 41, 111, 229, 407?
2*m**3 - 4*m - 1
What is the k'th term of 2, 77, 282, 683, 1346, 2337, 3722, 5567?
11*k**3 - k**2 + k - 9
What is the y'th term of 23, 34, 49, 68, 91, 118, 149?
2*y**2 + 5*y + 16
What is the g'th term of 53, 67, 107, 185, 313, 503, 767, 1117?
2*g**3 + g**2 - 3*g + 53
What is the y'th term of 553, 1104, 1657, 2212, 2769?
y**2 + 548*y + 4
What is the s'th term of -79, -85, -95, -109, -127?
-2*s**2 - 77
What is the t'th term of 1, -20, -91, -236, -479, -844, -1355?
-4*t**3 - t**2 + 10*t - 4
What is the o'th term of 51, 107, 163?
56*o - 5
What is the m'th term of -182, -178, -172, -164, -154, -142?
m**2 + m - 184
What is the z'th term of 1513, 1509, 1503, 1495, 1485, 1473, 1459?
-z**2 - z + 1515
What is the v'th term of -23269, -46540, -69811, -93082, -116353?
-23271*v + 2
What is the f'th term of -590, -594, -598?
-4*f - 586
What is the k'th term of 28, 60, 110, 184, 288, 428, 610?
k**3 + 3*k**2 + 16*k + 8
What is the t'th term of -4, 11, 36, 71?
5*t**2 - 9
What is the s'th term of 13970, 27938, 41906, 55874, 69842, 83810?
13968*s + 2
What is the u'th term of -1975, -7899, -17771, -31591?
-1974*u**2 - 2*u + 1
What is the l'th term of -7388, -7392, -7396, -7400, -7404, -7408?
-4*l - 7384
What is the u'th term of 11, 32, 65, 116, 191, 296, 437, 620?
u**3 + 14*u - 4
What is the f'th term of 37088, 37087, 37086, 37085, 37084, 37083?
-f + 37089
What is the i'th term of -8380, -8381, -8382, -8383?
-i - 8379
What is the f'th term of -117, -105, -85, -57, -21, 23?
4*f**2 - 121
What is the o'th term of 3, 4, 7, 12, 19, 28, 39?
o**2 - 2*o + 4
What is the i'th term of -56, -74, -114, -188, -308, -486, -734?
-2*i**3 + i**2 - 7*i - 48
What is the m'th term of 1025, 1028, 1031, 1034?
3*m + 1022
What is the t'th term of -3, 56, 257, 672, 1373, 2432?
12*t**3 - t**2 - 22*t + 8
What is the h'th term of 11, 12, 9, 2, -9, -24?
-2*h**2 + 7*h + 6
What is the t'th term of 118, 244, 370?
126*t - 8
What is the s'th term of 10, 14, 4, -26, -82, -170, -296?
-s**3 - s**2 + 14*s - 2
What is the l'th term of -55, -110, -165, -220, -275?
-55*l
What is the g'th term of 30, 44, 56, 66, 74, 80, 84?
-g**2 + 17*g + 14
What is the f'th term of -62, -126, -190?
-64*f + 2
What is the k'th term of -60, -111, -162, -213, -264?
-51*k - 9
What is the i'th term of 60, 106, 152, 198, 244, 290?
46*i + 14
What is the g'th term of 174, 214, 256, 300, 346, 394, 444?
g**2 + 37*g + 136
What is the q'th term of -1, -22, -65, -136, -241?
-q**3 - 5*q**2 + q + 4
What is the k'th term of -1743, -1746, -1749, -1752, -1755?
-3*k - 1740
What is the r'th term of 78, 87, 98, 111?
r**2 + 6*r + 71
What is the l'th term of 100, 72, 56, 58, 84?
l**3 - 35*l + 134
What is the m'th term of -9, -15, -19, -21?
m**2 - 9*m - 1
What is the k'th term of 8, 8, 20, 50, 104, 188?
k**3 - 7*k + 14
What is the c'th term of 3, 46, 147, 336, 643?
5*c**3 - c**2 + 11*c - 12
What is the m'th term of 19065, 19069, 19075, 19083, 19093?
m**2 + m + 19063
What is the i'th term of -136, -275, -414, -553, -692?
-139*i + 3
What is the l'th term of -45, -46, -47?
-l - 44
What is the g'th term of 99, 158, 221, 288, 359?
2*g**2 + 53*g + 44
What is the c'th term of 142, 136, 128, 118, 106, 92, 76?
-c**2 - 3*c + 146
What is the l'th term of 731, 1464, 2197, 2930?
733*l - 2
What is the n'th term of 2061, 2059, 2057, 2055?
-2*n + 2063
What is the d'th term of -265, -535, -807, -1081, -1357, -1635?
-d**2 - 267*d + 3
What is the j'th term of 42, 152, 332, 582?
35*j**2 + 5*j + 2
What is the h'th term of -97, -87, -71, -49, -21?
3*h**2 + h - 101
What is the m'th term of -10, -25, -56, -109, -190?
-m**3 - 2*m**2 - 2*m - 5
What is the f'th term of -1784, -3562, -5340, -7118?
-1778*f - 6
What is the i'th term of -49, -85, -169, -325, -577, -949, -1465, -2149?
-4*i**3 - 8*i - 37
What is the r'th term of -3, -15, -35, -63, -99, -143?
-4*r**2 + 1
What is the v'th term of -1, -20, -53, -106, -185, -296?
-v**3 - v**2 - 9*v + 10
What is the c'th term of -17, -34, -53, -74, -97, -122?
-c**2 - 14*c - 2
What is the d'th term of 93, 92, 91?
-d + 94
What is the r'th term of 369, 737, 1107, 1479, 1853?
r**2 + 365*r + 3
What is the t'th term of -13, -17, 1, 53, 151, 307, 533?
2*t**3 - t**2 - 15*t + 1
What is the n'th term of -124, -267, -422, -589, -768, -959?
-6*n**2 - 125*n + 7
What is the h'th term of -5504, -5505, -5506, -5507, -5508, -5509?
-h - 5503
What is the c'th term of -122, -119, -100, -59, 10, 113, 256, 445?
c**3 + 2*c**2 - 10*c - 115
What is the m'th term of -1344, -1356, -1382, -1428, -1500, -1604?
-m**3 - m**2 - 2*m - 1340
What is the y'th term of -27, -74, -141, -234, -359, -522, -729, -986?
-y**3 - 4*y**2 - 28*y + 6
What is the c'th term of -179, -357, -533, -707, -879, -1049?
c**2 - 181*c + 1
What is the p'th term of -90, -182, -274, -366?
-92*p + 2
What is the x'th term of 4648, 4646, 4644, 4642, 4640, 4638?
-2*x + 4650
What is the i'th term of 1626, 1617, 1594, 1551, 1482?
-i**3 - i**2 + i + 1627
What is the x'th term of -50, -44, -36, -26, -14?
x**2 + 3*x - 54
What is the f'th term of -13891, -13890, -13889, -13888?
f - 13892
What is the v'th term of 230, 228, 226?
-2*v + 232
What is the c'th term of -5, 2, -9, -44, -109?
-c**3 - 3*c**2 + 23*c - 24
What is the g'th term of 29, 40, 33, 8?
-9*g**2 + 38*g
What is the q'th term of -21, -53, -107, -183, -281?
-11*q**2 + q - 11
What is the q'th term of 345, 362, 405, 486, 617, 810?
2*q**3 + q**2 + 342
What is the k'th term of 2, -6, -26, -64, -126, -218?
-k**3 - k + 4
What is the l'th term of 311, 603, 895?
292*l + 19
What is the n'th term of 38, 44, 50, 56?
6*n + 32
What is the r'th term of -13, -72, -229, -532, -1029, -1768?
-8*r**3 - r**2 - 4
What is the z'th term of 185, 194, 215, 254, 317, 410?
z**3 + 2*z + 182
What is the i'th term of 48, 98, 150, 204, 260, 318?
i**2 + 47*i
What is the l'th term of 10, 29, 46, 61?
-l**2 + 22*l - 11
What is the m'th term of -246, -495, -740, -981, -1218, -1451, -1680?
2*m**2 - 255*m + 7
What is the p'th term of -6861, -6853, -6841, -6825?
2*p**2 + 2*p - 6865
What is the z'th term of 0, -107, -286, -537, -860?
-36*z**2 + z + 35
What is the g'th term of -82, -90, -110, -148, -210, -302, -430, -600?
-g**3 - g - 80
What is the r'th term of -9, -39, -91, -165, -261?
-11*r**2 + 3*r - 1
What is the f'th term of -22, -37, -52, -67, -82, -97?
-15*f - 7
What is the v'th term of 285, 568, 849, 1128?
-v**2 + 286*v
What is the n'th term of -1655, -1653, -1651, -1649?
2*n - 1657
What is the b'th term of -83, -201, -331, -479, -651, -853, -1091?
-b**3 - 111*b + 29
What is the m'th term of -76, -68, -46, -4, 64, 164, 302, 484?
m**3 + m**2 - 2*m - 76
What is the r'th term of 7, 31, 65, 103, 139?
-r**3 + 11*r**2 - 2*r - 1
What is the j'th term of -12, -10, -6, 0, 8?
j**2 - j - 12
What is the l'th term of -36, -23, 6, 57, 136, 249, 402?
l**3 + 2*l**2 - 39
What is the f'th term of -63, -67, -71, -75?
-4*f - 59
What is the k'th term of -63, -244, -545, -966, -1507, -2168?
-60*k**2 - k - 2
What is the b'th term of 2, 1, -2, -7, -14, -23, -34?
-b**2 + 2*b + 1
What is the p'th term of 5, -57, -239, -601, -1203?
-10*p**3 + 8*p + 7
What is the z'th term of 46, 94, 142, 190?
48*z - 2
What is the a'th term of 8156, 16310, 24464, 32618, 40772, 48926?
8154*a + 2
What is the k'th term of -206, -740, -1636, -2900, -4538, -6556?
-k**3 - 175*k**2 - 2*k - 28
What is the o'th term of -89, -168, -247, -326, -405?
-79*o - 10
What is the r'th term of -44, -49, -54, -59?
-5*r - 39
What is the n'th term of -120, -238, -360, -486?
-2*n**2 - 112*n - 6
What is the q'th term of -2233, -2230, -2217, -2188, -2137, -2058, -1945?
q**3 - q**2 - q - 2232
What is the v'th term of 35, 117, 253, 443, 687, 985, 1337?
27*v**2 + v + 7
What is the i'th term of 2159, 4318, 6477, 8636, 10795?
2159*i
What is the l'th term of -534, -1059, -1576, -2085?
4*l**2 - 537*l - 1
What is the c'th term of 13, -1, -29, -77, -151, -257, -401, -589?
-c**3 - c**2 - 4*c + 19
What is the w't
|
{
"pile_set_name": "DM Mathematics"
}
|
l + l + 0*l)*(-2*l**3 + 6*l**4 + 2*l**3).
-23*l**5
Expand (-4*r + 2*r + 4*r)*(0 + 3 - 2) - 4*r - r + 2*r + (33 - 85 - 1)*(-3*r + 5*r + r).
-160*r
Expand -7*h + 7*h + 6*h**2 - 3*h + h**2 + 3*h + (2 + 2*h - 2)*(11*h - 10*h - 14*h).
-19*h**2
Expand (2*j**2 + 0*j**2 + j**2)*(-4*j + 2*j - j - 1) - 18*j**3 - 373*j + 373*j.
-27*j**3 - 3*j**2
Expand -148*a**4 + 621*a**4 + 214*a**4 + (-3*a**3 + a**3 + 0*a**3)*(0*a - 4*a + 6*a).
683*a**4
Expand (1 - 15 + 56)*(9*v + 0*v - 7*v).
84*v
Expand (2 + 14 - 2)*(11 + 14 - 15)*(2 - 2*c - 2)*((-c + c + 2*c**2)*(-2*c + 1 - 1) + 0*c**3 + 2*c**3 + 0*c**3 - 5*c**3 + c**3 + 3*c**3).
840*c**4
Expand (w - 1 + 1)*(-3 + 1 + 4) + (4*w - 3*w + 0*w)*(-209 + 1 + 6).
-200*w
Expand (-2 + 2 - 9*l**4)*(2 + 2 + 0) + 3*l**4 - 4*l**4 + 0*l**4 + (2 - 1 - 3)*(-3 + 2*l**4 + 3) + 3*l**4 - 4*l**3 + 4*l**3 + 4*l**4 - 2*l**4 + 2*l**4.
-34*l**4
Expand 2 + 21*r**4 - 20*r**4 + 2*r**5 - r**5 + (-2*r**5 + 2*r**5 - 2*r**5)*(1 - 1 + 2) + 2*r**5 - r**5 + r**5.
-r**5 + r**4 + 2
Expand (-8*d + 9*d + 15*d)*(24 + 9 + 257 + 25).
5040*d
Expand (6*w + 0*w - w)*(-6*w + 6*w + 33*w**2).
165*w**3
Expand (-3*u**2 - u**4 + 3*u**2)*(0 + u + 0) + (-u + u + 2*u)*(9*u - 9*u - u**4).
-3*u**5
Expand (-1 - f + 1)*((3*f - 2*f - 2*f)*(3*f + 5*f - 2*f) + 2*f**2 - 3*f**2 + 3*f**2 + (-2*f - f + 7*f)*(-5*f + f + 3*f) - f**2 - 4*f + 4*f).
9*f**3
Expand 74*b**4 + 328*b**2 - 328*b**2 + (b**2 - 2*b**2 - b**2)*(0 - 2*b**2 + 0) - b**4 - 4*b**4 + 3*b**4 + b**4 - 2 + 2.
77*b**4
Expand (7*z**2 - 2*z - z**2 - 4*z**2)*(-5*z - 2*z + 3*z)*(4 - 3 - 3).
16*z**3 - 16*z**2
Expand 6*v - 2*v - 4*v**4 + 6*v - 2*v**4 + 2*v**4 - 2*v**4 + 5*v**4 - 5*v**4 - 2*v**4 - 3*v**4 + v**4 + 3*v**4 + (3 - 3 + 1)*(-3*v**4 + 3*v**4 + 2*v**4).
-5*v**4 + 10*v
Expand -c + 0*c + 3*c + (-2*c - c + 2*c)*(4 - 3 - 3) - 190 + 264*c + 190.
268*c
Expand (2 - 1 - 3)*(-3*z + 0*z - z) + 16*z + 0*z - 5*z - z + z + 2*z - 1.
21*z - 1
Expand (u**2 - 4*u**2 + u**2 - 23*u + 23*u - 2*u**2 + (-2 - 4 + 4)*(-3*u**2 + 0*u**2 + 5*u**2))*(0*u**3 + 18*u**3 + 14*u**3).
-256*u**5
Expand (-j + 3*j + 2*j)*(-2 + 0 + 4 + (0 + 0 + 2)*(0 + 1 + 1)) + 21 - 2*j + 37 - 8.
22*j + 50
Expand (5 - 2*v - 5)*(-3*v + 5*v + 0*v) + (-35*v - 60 + 60)*(4 + 2 - 5)*(-2*v + 0*v - v).
101*v**2
Expand (8*s + 0*s - 4*s + (2*s - 1 + 1)*(64 - 195 + 26))*(-3 - 1 + 2).
412*s
Expand (535*v - 23*v + 32*v)*(5*v**2 + 0*v**2 - 3*v**2).
1088*v**3
Expand (4*q**2 - 1 - 2 - 3*q**2)*(13*q - 14*q + 51*q**3 + 40*q**3).
91*q**5 - 274*q**3 + 3*q
Expand (3*n**4 - 3*n**4 + 2*n**4)*(3 - 4 - 1) - n**4 + n - n + (-2 - 1 + 1)*(-38*n**3 + 38*n**3 + 25*n**4).
-55*n**4
Expand (2864 + 0*f - 2862 - 2*f**2 - 21*f)*(-2*f**3 + 0*f + 0*f) + 4*f**5 - 2*f**5 + 0*f**5.
6*f**5 + 42*f**4 - 4*f**3
Expand (2 - 2 + x)*(-3*x - x + 0*x) - 4*x**2 + 7*x**2 + 2*x**2 + 2*x**2 + 2*x**2 - 3*x**2.
2*x**2
Expand (4*z - z + 4*z)*(88*z - 26*z + 33*z).
665*z**2
Expand ((-2*p**2 - 1 + 1)*(2 + p - 2) + 0 - 2*p**3 + 0 - 6*p + 6*p - 10*p**3)*(26*p**2 - 4*p**2 - 15*p**2).
-98*p**5
Expand (-3*f**3 + 2*f**3 + 3*f**3)*(2*f - 4*f + f) + f**4 + 0*f + 0*f - 8*f + 8*f - 8*f**4 + 0*f**4 + f**4 + f**4 + (4*f + 3*f**2 - 4*f)*(-f**2 - f**2 - f**2).
-16*f**4
Expand (9*g - 3*g - 7*g - 11*g**2)*(0*g + 2*g + 2*g).
-44*g**3 - 4*g**2
Expand 0*n**3 + 0*n**3 + 2*n**3 + (-n + 0*n - 6*n)*(0 - 1 - 1)*(2*n**2 + 2*n**2 + 2 - 7*n**2).
-40*n**3 + 28*n
Expand (-3*h + 5*h - 3*h)*(-2*h**2 + 1 - 1) + 0*h**3 - h**3 + 9*h**3 + (-4 + 1 + 5)*(-5*h**3 + 2*h**3 + 5*h**3) + (0*h**2 + 3*h**2 - h**2)*(36 - 25*h - 36).
-36*h**3
Expand (-119 + 119 - 17*f)*(-3*f**3 - 6*f**3 + 3*f**3).
102*f**4
Expand (-2 - 2 + 3)*(2 - 3 + 3)*(5 + 2 - 5)*(-127*p - 1219 + 1219).
508*p
Expand (3*g**3 + 0*g + 0*g)*(2*g + 3*g - 2*g - 4*g + 0*g + 3*g + (0*g + g - 2*g)*(0 - 1 - 1))*(2 - g - 2*g - g).
-48*g**5 + 24*g**4
Expand (-2*m**2 + 6*m**2 - 2*m**2)*(0*m**3 - 3*m**3 + 2*m**3 + (-4*m**2 + 0*m**2 + 2*m**2)*(0 + 0 - m) + (2 + 6 - 5)*(-5*m**3 + m**2 - m**2)).
-28*m**5
Expand (-12*s**4 + 8*s**4 + 7*s**4)*(-s + 16*s + 14*s - 3*s).
78*s**5
Expand (-h**2 + 2*h - 2*h)*(h - 3 + 3) - 57*h**3 + 47*h**2 - 47*h**2 - 2.
-58*h**3 - 2
Expand 0*s + s**5 + 0*s - 3*s**5 + 5*s**5 - s**5 + (-2*s**5 + 2 - 2)*(3 - 1 - 3) - 6*s**5 + s**5 + 4*s**5 - 79*s**5 - 1090*s**3 + 1090*s**3.
-76*s**5
Expand (-3*o**2 + 0*o**2 + 2*o**2)*(2 - 1 + 0) - 26*o**2 - 67*o**2 + 26*o**2.
-68*o**2
Expand (-4*j - 4*j - 55*j)*(j**2 - 2*j**3 - j**2)*(-3 - 2*j + 3 + (j + j - 3*j)*(-1 - 1 + 3) - 3*j + 2*j - j + 2*j - 3*j - j + 4*j + j - 4*j).
-756*j**5
Expand (133*f**3 - 133*f**3 + 18*f**4)*((4 - 2 - 3)*(-1 + 2 + 1) + 1 - 2 + 2 + (-4 + 2 + 3)*(-1 + 0 - 1) - 5 + 3 + 1).
-72*f**4
Expand (-266*u**2 - 194*u**2 + 587*u**2)*(4*u - u - 2*u)*(-1 - 2*u + 1).
-254*u**4
Expand (5*g - g - 3*g)*((-2 - 2 + 5)*(-g**2 + 4*g - 4*g) + (-2*g - 4*g + 5*g)*(2*g - g + 4*g)).
-6*g**3
Expand (-3*b - 2 + 2)*(233 - 84 - 99)*(2 + 2 - 2).
-300*b
Expand (1207 + 423*h - 834*h + 412*h)*(h + 0 + 0).
h**2 + 1207*h
Expand (-1 - 4 + 3)*(2 + 2 - 2)*(-3 + 3 - i - 2*i**2).
8*i**2 + 4*i
Expand (0*w**2 + 0*w**2 - 2*w**2 + (-2*w + 3 - 3)*(2*w - 3*w + 3*w) + w**2 + 0*w**2 + w**2)*((-3 + 0 + 2)*(-1 + 4 + 7) + 4 - 3 + 1).
32*w**2
Expand (4*r + 4*r - 3*r)*(-16 + 3 - 1).
-70*r
Expand (3 + 4*h - 2 - 2)*(11*h**2 - 13*h**2 + 15*h**2) + (0*h**2 + 2*h**2 + 0*h**2)*(-h + 5*h - 2*h) - 3 - 2*h**3 + 3 + h**3 + h**3 + 0*h**3.
56*h**3 - 13*h**2
Expand (4 + 5*g - 4)*(1 - 4 + 0)*(-1 - 1 + 6)*(2 + 3 + 0).
-300*g
Expand (-1 - 4 + 4)*(207*d**3 - 133*d**2 + 133*d**2).
-207*d**3
Expand (2*a + 4*a - 7*a)*(-19 + 222 + 15).
-218*a
Expand -17*b**5 - 11*b**5 + 21*b**5 + ((1 - 1 - 2*b)*(6 - 2 - 2) + 3 - 3 + 2*b)*(0*b + 0*b + 2*b**4).
-11*b**5
Expand (23 - 3 + 41 + 24)*(2*v - 71 + 35 + 38).
170*v + 170
Expand 3*w**3 + 2 - 2 + (3*w**2 + 11*w**2 + 0*w**2)*(0 + 1 - 4)*(-w - 1 + 1).
45*w**3
Expand (-6*p**4 + 14*p**4 - 7*p**4 + 2*p + 2*p**4 - 2*p - 3*p**4 - p**2 + p**2 + (-1 + 2*p**3 + 1)*(-1 - 2*p + 1))*(0 + 0 - p).
4*p**5
Expand (-11 + 7 + 13)*(-8*x - 6*x + 21*x)*(-2*x + 2*x + 2*x**3).
126*x**4
Expand (-2 + 7 + 2)*(h + 6*h + h)*(-5*h + 3*h + 5*h).
168*h**2
Expand -l**4 + 0*l**4 + 5*l**4 + 13*l**5 + (-2*l**4 + 4*l**4 + 0*l**4)*(-2 + 2 - l).
11*l**5 + 4*l**4
Expand (-12*j + 6*j - 3*j)*(-2*j - 2*j + 7*j)*(-j - j + 0*j)*(2 - j - 2)*(-2 + 1 - 2).
162*j**4
Expand (-5*v + 4*v - v)*(22 - 58 + 20).
32*v
Expand (-4237*l**2 + 9*l**4 - 13*l**4 + 4064*l**2)*(1 - 1 + 2*l).
-8*l**5 - 346*l**3
Expand (0*w**2 + 0*w**2 + w**2)*(w + 2*w - 2*w + (4 + 2*w - 4)*(-8 + 18 + 8)).
37*w**3
Expand (-1 + 28 + 7)*(-7*i**2 - 8*i + 8*i).
-238*i**2
Expand (-2*z - 7*z - 2*z)*(19 + z - 19)*(5*z - 3*z + 0*z).
-22*z**3
Expand (-2 + 7 + 2)*(14 + 3 - 10 - 3*q).
-21*q + 49
Expand (5*p + 95*p**3 - 101*p**3 - 3*p)*(p - 14*p + 8*p) + (5 - 4 - 3)*(4 + p - 4)*(p**3 - p**3 - p**3).
32*p**4 - 10*p**2
Expand (-2 + 0 + 0)*(-77*x**5 + x**4 + 148*x**5 + 5 - 72*x**5).
2*x**5 - 2*x**4 - 10
Expand (5*l**4 + 0*l**4 - 3*l**4 + 0*l + 0*l - l**4 + (-l**4 + 3*l**4 - 3*l**4)*(1 - 2 + 3) + 2*l**4 + l**4 + 0*l**4)*(-798 - 24*l + 798).
-48*l**5
Expand 6 + 3 + z**2 - 15 + (4 - 4 - 2)*(2*z**2 - z**2 + z**2).
-3*z**2 - 6
Expand -l**2 + 2*l**2 - 5*l**2 + (2*l - 6*l + 0*l)*(22*l + 8*l - 9*l).
-88*l**2
Expand (-1 + 14 - 2)*(2*d**4 - d**4 - 2*d**4).
-11*d**4
Expand (2*f**2 - 5*f**2 + f**2)*(-2*f - 1 + 1) + 5*f**3 - 2*f**3 - f**3 - 2*f + 2*f - f**3 - 63*f**3 + 32*f**3 - 51*f**3.
-77*f**3
Expand -39*z**4 - 56*z**4 - 561*z**5 + 95*z**4 + (2 + 0 - 1)*(3*z**5 - z**5 - 3*z**5).
-562*z**5
Expand ((1 - 2 + 2)*(4*m + 3*m - 5*m) + 4 - 4 + 2*m + 5*m - m - 3*m - 79 + 79 + 16*m)*(3*m + 0*m - m) + m**2 - 10*m**2 + m**2 + (2 - 2 - m)*(4 - 4 + m).
33*m**2
Expand (-2*t + 4*t + 0*t)*(178*t + 17*t**2 - 178*t + 15*t**3).
30*t**4 + 34*t**3
Expand (2*i**2 - 5*i**2 + i**2)*(4*i**2 - 4*i**2 - i**2) + (-i**3 + 3*i**3 - 5*i**3)*(-2*i + 6*i - i) + 0*i**4 + 0*i**4 + 2*i**4.
-5*i**4
Expand (-n + 0*n + 3*n)*(-9*n**4 - 239*n**2 + 239*n**2 + (2*n - 2*n - 2*n**4)*(1 - 1 + 1)).
-22*n**5
Expand (-164 + 342 + 519)*(-2 - 2*o + 2).
-1394*o
Expand -8*w**5 + 41*w**5 + 0*w**5 + (-5*w**4 - 4*w**4 + 6*w**4)*(-4*w - 2*w + 3*w).
42*w**5
Expand (-3*r**3 + 3*r**3 + 2*r**3)*(1 - 1 - r) + 0*r**4 - 2*r**4 + r**4 + r**4 + r - r - 3*r**2 - r**4 + 3*r**2 + (-5 - 3 + 3)*(-4*r**3 + 4*r**3 + r**4).
-8*r**4
Expand (-2 + j + 2 +
|
{
"pile_set_name": "DM Mathematics"
}
|
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