- 12 = 3*z. Let c(j) = j**2 - j. Let x(n) = -4*n**2 + 14*n - 19. Let a(k) = z*x(k) - 3*c(k). What is the remainder when a(19) is divided by 25?
21
What is the remainder when (17 - 24) + 24/(-8) + 5004 is divided by 50?
44
Let q = -5994 - -7084. Calculate the remainder when q is divided by 28.
26
Suppose -3*w = -3*n - 318, -4*n = -w + 224 + 212. Let p = 129 + n. What is the remainder when 130 is divided by p?
16
Let d be (6 + -8)*-1 + (120 - -2). Suppose -7*a = -11*a + 4*k + d, -k = -3*a + 83. What is the remainder when ((-2)/6)/(1/(-141)) is divided by a?
21
Suppose -4*o = -13705 - 7355. Suppose -30*y + o = 15*y. Suppose -2*v = -5*v + 72. Calculate the remainder when y is divided by v.
21
Let h = -197 - -201. Suppose -444 = -h*j + 52. Calculate the remainder when j is divided by 43.
38
What is the remainder when 141372/189*2/8 is divided by 104?
83
Suppose -98 = 3*r - 1052. Calculate the remainder when r is divided by 1/(2/(-10)) + 4 + 81.
78
Suppose 0*f - 13*f + 979 = 5*s, 3*f - 3*s = 255. Calculate the remainder when 2493 is divided by f.
75
Suppose 3*x + 38*u - 37*u = 815, -5 = -u. Calculate the remainder when x is divided by 35.
25
Let g(u) = -88*u + 9 + 89*u + 3. Let v be g(-9). Suppose 0 = -v*z - 5*t + 73, -5*t + 2*t - 15 = -z. What is the remainder when 53 is divided by z?
11
Let o(u) be the second derivative of -4*u**3/3 + 86*u**2 - 162*u. Suppose -11 = -2*n - 3, 5*g = 4*n + 89. Calculate the remainder when g is divided by o(20).
9
Let b(j) = -53*j - 47. Let x = -228 - -217. What is the remainder when b(x) is divided by 60?
56
What is the remainder when 51 is divided by 392/(-70)*90/(-21)?
3
Let l(a) = 41*a + 514. What is the remainder when 1056 is divided by l(-4)?
6
Suppose -1 - 1 = y - k, 6 = -4*y + 3*k. Let p be y - 6/9*-6. Suppose p*i - 54 = 78. Calculate the remainder when 130 is divided by i.
31
Let p(w) = 10*w**2 - 16*w + 14. Let z be p(6). Let q = z - 4. What is the remainder when q is divided by 25?
24
Suppose 0 = 7*v - 96 + 5. Suppose 4*r - d + 19 = 0, 3*r + d = -r - v. What is the remainder when 73 is divided by 1/(r*(-3)/240)?
13
Calculate the remainder when 499 is divided by 2/23 + (-1628775)/(-15525).
79
Suppose 9*l = 77 + 175. Suppose 12*k - 56 = l. Calculate the remainder when 65 is divided by k.
2
Suppose 2*h = 6*h + 2*c - 906, 4*h = -4*c + 904. What is the remainder when h is divided by 115?
112
Calculate the remainder when 38780/(-28)*-2*(-6)/(-12) is divided by 1377.
8
Let v be (-16)/56 + (10368/(-14))/(-2). Let z = 415 - v. Suppose -h = -6*h + 80. What is the remainder when z is divided by h?
13
Let r(g) = -g**2 - 18*g + 246. Calculate the remainder when r(0) is divided by 124.
122
Let z(j) = 74*j**2 + 20 - 79*j**2 - 5*j - 2*j**3 + 4*j + j**3. Calculate the remainder when z(-7) is divided by 42.
41
Let i = -11465 + 12891. Calculate the remainder when i is divided by 26.
22
Suppose u - 16 = 5*p + 35, 0 = 2*u - 4*p - 72. Suppose -16 = v - 3*v. What is the remainder when u is divided by (v/20)/(1/5)?
0
Suppose 3 = u - 4*q, 22 = -u - 4*q - 15. Let r = u + 40. Let t(p) = p**3 - 9*p**2 + 13*p - 27. Calculate the remainder when r is divided by t(8).
10
Calculate the remainder when (-1 - 12)*(-201 - -70) is divided by 16.
7
Suppose 4*k = 4*u - 12738 + 4774, 3*k = 6. Calculate the remainder when u is divided by 125.
118
Suppose -z - 5 = 0, -2*r + 2*z = -1094 + 90. Let l = -413 + r. What is the remainder when l is divided by 23?
15
Let l(n) = n**2 + 20*n + 1. Let w be l(-12). Suppose 0*p - 3*p = 156. Let y = p - w. What is the remainder when y is divided by 9?
7
Let r = -925 + 1082. What is the remainder when r is divided by 38?
5
Suppose 2*o + 81 = 6*o + f, -4*f + 24 = o. Let v be (-2)/4 + 14/(252/2295). Suppose -27 = -11*t + v. What is the remainder when o is divided by t?
6
Suppose 2 = y + 4*u + 4, -2*y = 3*u - 6. Suppose -y*z = -z - 190. What is the remainder when 224 is divided by (0 + z/(-4))*(-11 - -5)?
53
Let j(m) = 2*m**2 + m - 14. Let c = 23 - 19. Suppose 5*d + 3*a + 10 = 4*d, -c*d = -a + 27. What is the remainder when j(d) is divided by 8?
5
Let l = -10837 - -10873. Calculate the remainder when 2949 is divided by l.
33
Let n(l) = l**3 + 4*l**2 - 6*l - 1. Let a be (49/28)/(2/24). Suppose 9*u = 2*u + a. Calculate the remainder when n(u) is divided by 9.
8
Suppose r - 31 + 12 = 5*a, -5*r + 2*a = -26. Suppose -k + 14 = -m, r = m - 1. What is the remainder when 180/(-8)*(-20)/6 is divided by k?
18
Let h = -24 + 87. Suppose v - 47 = 6*i, 5*v + 0 = -2*i + 11. Calculate the remainder when h is divided by v.
3
Let a(x) = -3*x**2 - 189*x + 17. What is the remainder when a(-61) is divided by 24?
23
Let i = 136 - 227. Let f be 4/14*i/(-13). Suppose 33 = h - f*s, 2*h - 58 = -4*s + 6*s. What is the remainder when 46 is divided by h?
21
Suppose 9*w - 114 = 3*w. Suppose 2*i + 10 = -0, 2*u - i = w. Suppose 0 = -u*h + 1617 - 504. Calculate the remainder when h is divided by 32.
31
Suppose -7*c + 5*n = -4385, 0 = -6*c + 2*c - 4*n + 2492. Calculate the remainder when c is divided by 70.
65
Suppose 652 = 4*g - 1100. Let f = 473 - g. What is the remainder when 64 is divided by f?
29
Let z = 5181 - 3785. What is the remainder when z is divided by 14?
10
Let w(d) = -d**3 + 4*d**2 + 7*d - 6. Suppose -59*l + 440 - 145 = 0. What is the remainder when l is divided by w(5)?
1
Let o = 547 - 551. Calculate the remainder when 296 is divided by o/18 + 13/(585/820).
8
Let s(b) = -5*b + 1. Let v be ((-9)/2 - -3)*4. Calculate the remainder when s(v) is divided by (-110)/(-100)*(-30)/(-3).
9
Let o = 205 + -205. Suppose o = 46*t - 55*t + 234. Calculate the remainder when 74 is divided by t.
22
Suppose -20 = -r + 13. Let x(i) = 2*i**2 - 39*i + 197. Calculate the remainder when r is divided by x(12).
16
Let c(k) = 2*k**2 - 195*k + 1800. Calculate the remainder when 790 is divided by c(10).
40
Let f(n) be the second derivative of -n**4/12 - 14*n**3/3 + 41*n**2/2 - 15*n - 1. What is the remainder when f(-17) is divided by 1384/30 + 2/(-15)?
44
Suppose 51*z - 48*z + 2*m - 4161 = 0, 12 = -4*m. Calculate the remainder when z is divided by 152.
21
Let c = -1211 + 1313. What is the remainder when c is divided by 26?
24
Let d = -9075 + 9100. What is the remainder when d is divided by 8?
1
Let o = -290 + 431. Let t = -1101 - -1103. Suppose y - 36 = -y + 3*w, 5*y + t*w - 128 = 0. Calculate the remainder when o is divided by y.
21
Suppose 0 = 3*j + 16*j. Let g(b) = -b**3 - b + 6. Calculate the remainder when g(j) is divided by 2.
0
Let x = 0 - -4. Suppose 0 = p + y + 3*y + 14, p - x*y - 26 = 0. What is the remainder when p*(93/9 - 3) is divided by 15?
14
Suppose 4 + 16 = 4*b - t, 4*t + 32 = 4*b. Suppose 33*k - 4*g = 29*k + 44, -28 = -5*k - 4*g. Calculate the remainder when k is divided by b.
0
Let b(y) = -2*y**3 + 36*y**2 - 35*y + 102. What is the remainder when 705 is divided by b(17)?
25
Suppose 2*i = -i + 36. What is the remainder when 8 + (-112)/(-3) + (-2)/6 is divided by i?
9
Let f = -27120 + 27445. Calculate the remainder when f is divided by 114.
97
Let z(t) = t - 6. Let f be z(6). Suppose 3*d - d - 100 = f. Let c = -2678 + 2691. What is the remainder when d is divided by c?
11
Let l = 273 + -315. What is the remainder when (42/l)/(((-8)/(-138))/(-4)) is divided by 19?
12
Suppose 34*v - 12342 = -0*v. Suppose -5*u = -0*u + 3*z - v, -290 = -4*u - 2*z. Calculate the remainder when 212 is divided by u.
68
Suppose -66*u = -47*u - 1539. Calculate the remainder when 185 is divided by u.
23
Let d = 7620 + -7447. Calculate the remainder when d is divided by 84.
5
Let u(l) = -l**2 + 14*l + 22. Calculate the remainder when 186 is divided by u(5).
52
Let j(c) = -7*c**3 + 1. What is the remainder when j(-2) is divided by 725/(-10)*44/(-110)?
28
Suppose -639*y = -14060 - 1915. Let p be (3 - 3)/(-4 + 2). Suppose 0*t - 4*t + 384 = p. What is the remainder when t is divided by y?
21
Suppose 4*t = 5*p - 27, -3*t - 1 = -p - 0*t. Suppose n - 3*x + 35 = 5*n, 6 = -2*x. Calculate the remainder when n is divided by p.
4
Let n(i) = -67*i + 1598. Calculate the remainder when 449 is divided by n(23).
50
Let u(a) = 318*a - 573. Let d be u(6). Let g = d - 1331. Suppose -20 = 5*t, 3*t = -f - 0*f - 1. What is the remainder when f is divided by g?
3
Let d be (8/5)/(-4) - (-2124)/(-