9). Suppose 2*a - 198 - 61 = -i, o = -5*a - i + 652. What is the remainder when a is divided by 44?
43
Suppose 2123 - 263 = 124*a. Calculate the remainder when (-5)/(-30) - 1758/(-36) is divided by a.
4
Let w(x) = -x**2 + x - 381. Let d be w(0). Suppose -5*o - 5 = 0, -27*h - 18 = -28*h + 2*o. What is the remainder when d/(-9) - 2/6 is divided by h?
10
Let m(i) = 6*i**2 - 94*i + 40. What is the remainder when m(23) is divided by 64?
28
Suppose 39 = -3*j + 24, -5*j = 2*m - 187. What is the remainder when m is divided by 33?
7
Let g = 153 - 96. Let m = 59 - g. Suppose -40 = -m*a - 8*a. Calculate the remainder when 10 is divided by a.
2
Let s = 377 - 370. Suppose b = -w + 18, 5*b + s*w - 78 = 8*w. Calculate the remainder when 93 is divided by b.
13
Let s be ((-4)/(-20) + -1)/(6/(-120)). Suppose -s*w + 152 = -504. What is the remainder when 85 is divided by w?
3
Let t(r) = 256*r - 644*r - 17 + 229*r + 222*r. Let s be 1 + (5 - 3) + -1. Calculate the remainder when t(s) is divided by 55.
54
Suppose -4148 - 7679 + 2346 = -19*q. What is the remainder when q is divided by 86?
69
Let k = 27 + -21. Suppose -3*m = -2*u + 101, k*m = 5*u + m - 255. What is the remainder when 311 is divided by u?
51
Let j = 298 + -110. Let l(g) = g**2 + 72*g + 103. Calculate the remainder when j is divided by l(-71).
28
Let d(a) = -18*a + 1. Let g(r) = -22*r + 2. Let w(c) = -3*d(c) + 2*g(c). Calculate the remainder when 93 is divided by w(2).
9
What is the remainder when (-6)/(-153) + 849076/1887 is divided by 199?
52
Let j(p) = 94*p - 249. Calculate the remainder when j(4) is divided by 30.
7
Calculate the remainder when (0 + 3)*-1*-10 is divided by -10*(1 - 2) - 4608/(-768).
14
Suppose 0 = -145*a + 161*a + 1552. Let t = a - -396. Calculate the remainder when t is divided by 75.
74
What is the remainder when 1367 is divided by (((-130)/(-3))/5)/(((-272)/600)/(-17))?
67
Let r = -2767 - -2881. Calculate the remainder when 791 is divided by r.
107
Let y(z) = z**2 - 2*z - 7. Let l(u) = u - 3. Let v be l(2). Let t be (7 + 4/v)*-2. Calculate the remainder when y(t) is divided by 15.
11
Suppose 4*a - 4*s - 169 - 295 = 0, -3*s = -4*a + 461. Let k = a - -139. What is the remainder when k is divided by 85?
82
Suppose 5*o = -2*x + 170 + 60, 5*x + o - 598 = 0. What is the remainder when 267 is divided by x?
27
Let a(h) be the second derivative of -5*h**3/3 - 14*h**2 + h. Calculate the remainder when a(-4) is divided by 12.
0
Let u = -1165 + 1178. Let b(v) be the third derivative of v**6/24 - v**4/24 + v**3/6 - 2*v**2. Calculate the remainder when u is divided by b(1).
3
Let t(i) be the first derivative of -25*i**2 - 24*i - 34*i**2 + 54*i**2 + 12. What is the remainder when 60 is divided by t(-4)?
12
Let y(r) be the third derivative of 53*r**5/60 + 23*r**4/12 + 21*r**3 + 6*r**2 + 14*r. What is the remainder when y(-3) is divided by 78?
75
Suppose -h = -3*h + 3*x - 180, 0 = 5*h + 5*x + 475. Let j = h - -174. Calculate the remainder when j is divided by 0/(-2) + 2 - -19.
18
Let s = -2691 + 2740. What is the remainder when s is divided by 20?
9
Let d = 272 - 262. What is the remainder when (-4 + d - -111) + 2 is divided by 24?
23
Let d be ((-8)/(-7))/(-4) - (-2)/7. Suppose -2*g - 2*g = -4*m + 16, -3*m + 3 = d. What is the remainder when 38 is divided by 3/g - -17 - (9 - 6)?
12
Let c = 734 - 720. Calculate the remainder when 865 is divided by c.
11
Suppose -8*f + 1915 = -3*f. Calculate the remainder when f is divided by ((-68)/272*8)/((-63)/(-32) - 2).
63
Let p = -2313 + 2328. Suppose -5*v + 1148 = 4*a, -2*v + a + 0*a = -467. Suppose 3*t - v = -t. What is the remainder when t is divided by p?
13
Let f = 14 + -10. Suppose -f*k + 42 = -k. Let g = 1099 - 1073. What is the remainder when g is divided by k?
12
Let c(s) = -7*s + 63. Let m be c(-18). Let f = 258 - m. Calculate the remainder when f is divided by 37.
32
Suppose l = -4*l + 10. Let z(y) = y**3 + 5*y**2 + y + 7. Suppose 5*n = 3*n - 10. What is the remainder when z(n) is divided by l?
0
Let c(s) = s**3 - 5*s**2 - 2*s + 4. Let d = -274316 + 274426. What is the remainder when d is divided by c(6)?
26
Suppose -2*s + 7*s - 4*j = 368, j + 301 = 4*s. Let w = -1013 - -1741. Suppose -725*l + w*l - 78 = 0. Calculate the remainder when s is divided by l.
24
Suppose -3*y + 1347 = 3*g, -644 = -2*g - y + 260. What is the remainder when g is divided by 162?
131
Let b(y) be the third derivative of 5*y**5/12 + 5*y**4/24 + y**3/2 - y**2 - 2. Calculate the remainder when b(-3) is divided by 9.
6
Let a(v) = -9*v + 47. Let j(l) = -1. Let d(x) = a(x) + j(x). Let k be d(5). What is the remainder when 38 is divided by (4 - 3/k) + 10?
5
Suppose -5*w - 25*j - 3019 = -27*j, -3*w + j = 1811. Let r = w + 629. Calculate the remainder when 257 is divided by r.
23
Let b = 3937 - 2611. What is the remainder when b is divided by 11?
6
Let n(i) = -i**3 + 73*i**2 - 68*i + 2. What is the remainder when n(72) is divided by 29?
0
Let i = -3037 + 4574. What is the remainder when i is divided by 110?
107
Let k = 2591 - 2541. What is the remainder when -1 - 0 - -96 - 1 is divided by k?
44
Let q(x) = 4*x**2 + 23*x + 23. Let c(z) = 3*z**2 + 21*z + 22. Let p(y) = -7*c(y) + 6*q(y). Calculate the remainder when 165 is divided by p(-2).
11
Let w(p) = -p**2 + 91*p - 396. Let n = 3 - 3. Suppose 2*i = 2*r + i - 18, -r - 3*i + 2 = n. Calculate the remainder when w(5) is divided by r.
2
Let x(s) = 5*s**2 + 467*s - 154. What is the remainder when x(-94) is divided by ((-5)/(-10))/((-2)/(-104))?
24
Let g(d) = 2660*d - 233. Calculate the remainder when g(3) is divided by 27.
25
Let s(g) = -5*g**2 + 22*g - 14. Let f be s(10). Let b = 225 - f. What is the remainder when b is divided by 26?
25
Let i(l) = l**3 - 2*l**2 - 19*l - 65. Calculate the remainder when i(7) is divided by 21.
5
Suppose k + 28 = 3*s, -s + 246*k - 243*k - 4 = 0. Let i(u) = 17*u**3 + 2*u**2 - u. What is the remainder when i(1) is divided by s?
7
Let s(x) = -x**2 - 8*x - 10. Let n be s(-5). Suppose n*z + 2*u + 547 = 0, -136 + 17 = z - 2*u. Let v = z - -152. What is the remainder when v is divided by 9?
5
Suppose 26*j - 28*j - 102 = -4*g, 4*j = -2*g + 66. What is the remainder when 2186 is divided by g?
26
Let y(v) = 18*v**2 - 3*v + 1. Let z be y(1). Suppose -z = -j - 0. What is the remainder when j is divided by 6?
4
Suppose 52*a - 963 = 11829. Calculate the remainder when 717 is divided by a.
225
Suppose -53695*j + 53696*j - 13 = 0. What is the remainder when 24 is divided by j?
11
Suppose 26*c + 15*c - 205 = 0. Suppose 0 = m - 1, 0 = -c*p + 4*m - 38 + 164. Calculate the remainder when 140 is divided by p.
10
Let l(a) = 86*a + 331. Let s(m) = -86*m - 328. Let h(k) = 3*l(k) + 4*s(k). Calculate the remainder when h(-11) is divided by 37.
35
Let c(q) = q**3 - 8*q**2 - 2*q - 11. Let d be c(9). Suppose d = 3*g - 98. What is the remainder when g is divided by 315/(-10)*(-8)/14?
14
Suppose -23 = -z + l, -5*z + 0*l + 111 = -4*l. What is the remainder when 284 is divided by z?
18
Suppose 2*f + 2637 = 5*r - 188, -4*r + 2260 = -5*f. What is the remainder when r is divided by 154?
103
Let a(s) = 2*s**2 - 10*s - 27. Let b(i) = i**2 + 4*i - 89. Calculate the remainder when a(11) is divided by b(-13).
21
Let h(w) be the second derivative of 8*w**3/3 + w**2 + 16*w. Let l be h(1). What is the remainder when (-4)/l + 3170/90 is divided by 9?
8
Let b be 20 - 13 - 4/(8/6). What is the remainder when 35 is divided by -5*(-27)/45*b*1?
11
Suppose 60 = 235*l - 241*l. Calculate the remainder when 20 - (-3 - (l - -1)) is divided by 8.
6
Let d = 52 + -42. Suppose 234 = -4*k + d*k. Let p = k - 12. Calculate the remainder when p is divided by 11.
5
Suppose -2*z + 5 = -6*d + 5*d, 0 = -d - 2*z + 3. Suppose 0 = 2*v - 5*v - 180. Let g = d - v. What is the remainder when g is divided by 15?
14
Let y(f) = 6*f + 3 + 0 + 28*f**2 - 30*f**2 + 12*f**2 - f**3 - 6. Calculate the remainder when y(-3) is divided by 20.
16
Let z(m) = -m**3 - 27*m**2 - 102*m - 28. What is the remainder when z(-23) is divided by 74?
54
Suppose -o - 119*t + 60 = -123*t, 5*o - 5*t - 330 = 0. Let x be (-161)/(-5) - 1/5. Let j = o - x. What is the remainder when j is divided by 8?
4
Suppose 0 = 10*t - 181 - 229. Calculate the remainder when 1145 is divided by t.
38
Suppose 0 = -24*g - 2