). Let b = -59 - -70. What is the remainder when ((459/a)/(-9))/(2/12) is divided by b?
7
Let c(v) = 2*v**3 + 17*v**2 - 5*v + 46. Let u be c(-12). Let x = u + 998. Calculate the remainder when x is divided by 17.
11
Suppose 47*i - 228 = 51*i. Let o = 80 + i. Calculate the remainder when 79 is divided by o.
10
Let n(c) = -5*c + 88. Let g be n(0). Let b = 81 - g. Let r(u) = u + 15. Calculate the remainder when 11 is divided by r(b).
3
Let o be (-2 + (28/4 - 4))*32. Suppose -t + o = -3*u, 2*t + u = 2*u + 54. What is the remainder when 75 is divided by t?
23
Suppose -3*z - 3911 + 764 = 0. Let q = z + 1168. Calculate the remainder when q is divided by 26.
15
Let w = -194 - -122. Let l be -1*(w + -2) + 5 + -8. Suppose 6*z - 49 = l. What is the remainder when 99 is divided by z?
19
Let v = -19467 - -20345. Calculate the remainder when v is divided by 122.
24
Let f(g) = 425*g + 1912. Calculate the remainder when f(-4) is divided by 204.
8
Suppose 34*t - 13 - 89 = 0. What is the remainder when (1 + (-2)/(-1))*23/t is divided by 16?
7
Let p = 185 - 94. Let g = p - 86. Let y(h) = -h**2 + 6*h + 2. What is the remainder when 18 is divided by y(g)?
4
Let m = 2747 - 2712. What is the remainder when 417 is divided by m?
32
Let x be -1 + 1 - (-2 - -33). Let p = -17 - x. Suppose -19*q + 3*q = -32. Calculate the remainder when p is divided by q.
0
Suppose 10*w - 17*w - 1918 = 0. Let d = -222 - w. Calculate the remainder when 153 is divided by d.
49
Let x(u) = u**2 + 6*u - 13. Let i be x(-8). Suppose k - 2*g - 13 = 49, 3 = -i*g. Calculate the remainder when k is divided by 9.
6
Suppose 8*z + 4*z - 2308 = 13232. Calculate the remainder when z is divided by 4.
3
Suppose 58 = 3*p - y, -130*p + 5*y = -135*p + 70. Calculate the remainder when 926 is divided by p.
8
Let c(n) = 2*n**2 - 2*n - 7. Let z be c(-2). Suppose v = 2*l + 209, 3*v + z*l - 700 = -40. What is the remainder when v is divided by 54?
53
Calculate the remainder when 210/(-84) + 44/(-8) + 3223 is divided by 19.
4
Let c(h) = h**3 + 13*h**2 + 15*h + 15. Let f be c(-11). Suppose f = 4*o - 3*p, -74 = -3*o + 3*p - 2*p. What is the remainder when 155 is divided by o?
25
Suppose 3*g + 836 = -460. Suppose 2*m - 4 = 42. What is the remainder when m is divided by ((-1)/(-3 + 1))/((-36)/g)?
5
Suppose -4*v + 4*w + 260 = 0, 9*v - 4*w = 62 + 508. What is the remainder when 88 is divided by v?
26
Let o = -11538 + 11667. Calculate the remainder when 1409 is divided by o.
119
Let b(a) = 64*a**3 + 3*a**2 + 11*a - 35. What is the remainder when b(2) is divided by 15?
1
Let d(r) = r**3 - 4*r**2 + 2. Suppose 38*p - 24 = 32*p. Let w be d(p). Suppose 8 = u - 2*o, -w*u - 3*o + 9 = -7. Calculate the remainder when u is divided by 5.
3
Let b(s) = -90*s**2 + 229*s - 1. What is the remainder when 2207 is divided by b(1)?
137
Suppose 3*t + 19 = 5*s, 15 = -5*t + 2*s - 23. Let r = t - -11. Let u = -355 - -366. Calculate the remainder when u is divided by r.
2
Suppose 0 = j - 6*x - 60, x + 58 = -3*j + 200. What is the remainder when 1476 is divided by j?
36
What is the remainder when 9081 is divided by 8/(-6)*2964/(-208)?
18
Let q = 14198 + -11051. Calculate the remainder when q is divided by 19.
12
Let b = 70382 - 47165. What is the remainder when b is divided by 129?
126
Suppose 50 = 5*z + 405. Let a = z + 113. What is the remainder when a is divided by 23?
19
Let y(b) = b**2 - 65*b + 677. Calculate the remainder when y(57) is divided by 220.
1
Let l = -5 + 13. Suppose 0 = -l*s + 188 + 12. Suppose 2*p - s = -o, 2*o - 2*p - 26 = 36. What is the remainder when o is divided by 8?
5
Suppose 0 = -9*h + h + 2024. Let b = 886 + -871. What is the remainder when h is divided by b?
13
Suppose -2*k + 123 + 19 = 0. Suppose -16*w + 129 - 33 = 0. Calculate the remainder when k is divided by w.
5
Let t(n) = 8*n - 2. Suppose -5*g = -4*y - 3, 20*g - 10 = 5*y + 15*g. Let r(b) = -29*b - 182. What is the remainder when t(8) is divided by r(y)?
20
Let f = -24 - -76. Let x = 1341 - 1189. What is the remainder when x is divided by f?
48
Suppose 0 = -3*z - 5*v + 670, 620 = 3*z + 2*v - 7*v. Suppose 2*m + 99 - z = 0. Calculate the remainder when 230 is divided by m.
56
Suppose 43*u - 19715 = 154349. Suppose -u = 31*l - 11116. What is the remainder when l is divided by 33?
30
Let r be (-8)/20 + 64/10. Let t = 32 - r. Suppose -6*h = 96*h - 10302. Calculate the remainder when h is divided by t.
23
Suppose 5*n + d - 2 = 55, 53 = 5*n - d. Let u = n + -1. Let o(t) = 37*t**2 - 50*t - 50. Calculate the remainder when o(-1) is divided by u.
7
Let l = -1830 + 2220. Calculate the remainder when l is divided by 101.
87
Calculate the remainder when 852 + 14/((-392)/63)*4 is divided by 96.
75
Let x(m) be the first derivative of 13*m**2/2 + 2. Calculate the remainder when x(1) is divided by 30*(-27)/(-810)*(5 - -1).
1
Calculate the remainder when ((-8)/2)/(114/304*(-4)/141) is divided by 34.
2
Suppose -56*u + 831 = -1465. Calculate the remainder when 4958 is divided by u.
38
Let k be (-24*1)/(-3)*2571/12. Suppose 10*o = k + 696. What is the remainder when o is divided by 49?
45
Let g(s) = -235*s - 1632. Calculate the remainder when 894 is divided by g(-7).
10
Let c(v) = 6 - 3 + v - 3. Let n be c(-15). Let r(w) = -w**3 - 16*w**2 - 16*w - 4. What is the remainder when 29 is divided by r(n)?
7
Let d be (26 - -4)*50/(-15)*-1. Suppose d = 2*o + 90. What is the remainder when 16 is divided by o?
1
Let k(z) = 14400*z**2 - 15*z - 8. What is the remainder when k(-1) is divided by 5?
2
Let f = -11942 - -11956. What is the remainder when 149 is divided by f?
9
Let w = -59 - -326. Suppose 77 - w = -5*b. Calculate the remainder when b is divided by 17.
4
Let d = 633 - 381. Let v be (d/(-10))/(15/(-50)). What is the remainder when 109 is divided by (v/30)/(33/30 - 1)?
25
Let a(t) = -t**3 + 62*t**2 - 32*t - 571. What is the remainder when a(60) is divided by 3?
2
Suppose -z + 358 = 3*f, -2*z - 5*f + 375 + 337 = 0. What is the remainder when z is divided by 205?
141
Suppose -174*w = -164*w - 500. What is the remainder when (-4763)/(-44) - (-3)/(-12) is divided by w?
8
Suppose -5*c + 12 = u - 12, -5*u - 3*c = -54. Let h(a) = -a**2 - 5*a + 5. Let o be h(-6). What is the remainder when (o - -4) + 9 + 3 is divided by u?
6
Suppose 4*v - 5*d = 999, -4*v + 20 = -d - 951. What is the remainder when 1660 is divided by v?
214
Let t(i) = -i**3 + 6*i**2 + 16*i + 4. Let w be t(-2). Suppose w*m = -2*m + 66. Calculate the remainder when (47 + 1)*(-4)/(-6) is divided by m.
10
Suppose -x = 2*p + 6, 9*x + 3*p + 2 = 4*x. Suppose -27*y + 161 = -244. Suppose -18*w = -y*w + 6, 2*b - 24 = 3*w. Calculate the remainder when b is divided by x.
1
Let u be (-11 - (-408)/40)*5/(-2). Calculate the remainder when 51 is divided by (-4 + 95/(-15))/(u/(-6)).
20
Let p be (-36 + 37)/((-3471)/3472 - -1). Suppose 19*a = 11*a + p. What is the remainder when a is divided by 73?
69
Let s(h) be the third derivative of h**5/60 + 5*h**4/8 - 5*h**3/2 + 5*h**2. Let y = 63 + -83. Calculate the remainder when s(y) is divided by 22.
19
Let w = -322 + 171. Let l = w + 255. What is the remainder when l is divided by 51?
2
Suppose -3*v - 5*b + 93 = -b, v - 31 = -3*b. Let r(o) = -18*o - 82. Let g be r(-9). What is the remainder when v is divided by 174/10 + (-32)/g?
14
Let f(x) = -6*x + 24 - 48 - 37*x. What is the remainder when f(-4) is divided by 15?
13
Calculate the remainder when 3021 is divided by ((-1152)/(-88))/((-18)/(-99)).
69
Let h = 19020 + -18565. What is the remainder when h is divided by 32?
7
Let s(p) = -2*p**2 - 2*p**2 + 5 - 5033*p**3 + 5*p**2 + 5034*p**3 - 15*p. What is the remainder when 298 is divided by s(4)?
23
Suppose 5*a = -5*y + 5040, 3048 = -68*y + 71*y - 5*a. What is the remainder when y is divided by 491?
29
Suppose -o - y = -2644, 2*o = -0*y - 4*y + 5300. Calculate the remainder when o is divided by 10.
8
Let n be -3 + (-724)/6 + (-4)/(-6). Let z = n - -160. What is the remainder when 218 is divided by z?
33
Let z(f) be the second derivative of 5*f**3/6 - 24*f**2 - 4613*f. Suppose 6*p - 110 = p. Calculate the remainder when z(p) is divided by 23.
16
Let x(b) = 7*b**2 - 2*b + 2. Let k = -240 + 289. What is the remainder when k is divided by x(2)?
23
Suppose -62*c = -69*c + 7518. What is the remainder when c i