4).
52
Suppose -2694 = 25*m - 3269. Calculate the remainder when 1924 is divided by m.
15
Let u = -10809 - -10931. Suppose d - 18 = -4*w + 58, -4*w - 3*d + 84 = 0. What is the remainder when u is divided by w?
14
Let r = 95 - -4. Suppose 0 = 4*h - 9*h + 255. Calculate the remainder when (r - -1)*(-4 - (-11)/2) is divided by h.
48
Let x be 5 - ((-4)/(-2) - 19). Suppose -5*m - 4 = -3*s - 88, 2*s = -m + x. What is the remainder when m is divided by 5?
3
Let t(j) = 222*j + 2985. What is the remainder when t(-8) is divided by 324?
237
Let u = 20 + 7. Suppose 4*n = 3*l - 309, 0 = -5*l + 3*n + 566 - 51. Suppose x - 5*r - 87 = 0, 0*x = -x + r + l. Calculate the remainder when x is divided by u.
26
Suppose 3*y - 34 = 41. What is the remainder when -24 - (-37 + 14) - -924 is divided by y?
23
Let k(a) = -a**3 - 12*a**2 - 13*a - 5. Let i be (44/8)/(1/(-2)). Calculate the remainder when 4/(-14) + (-928)/(-14) is divided by k(i).
15
Let v be (-1 + (-10)/(-4))/(72/39072). Suppose 4*s = 1150 - v. Calculate the remainder when s is divided by 13.
6
Let w(l) = -l - 1. Let x(j) = -j**2 - 25*j + 84. Let u(f) = -2*w(f) + x(f). What is the remainder when 9 - 3*6/(-9) is divided by u(-26)?
3
Let s = 403 - 350. Suppose -2 - s = -o + 4*t, -5*o + 4*t = -275. What is the remainder when 219 is divided by o?
54
Suppose 0 = 22*y + 115 - 1039. Suppose 6*i = 4*i + y. What is the remainder when 81 is divided by i?
18
Let g be (-72)/(-7) - 40/140. Calculate the remainder when 0 + 1 + 33 + 1 is divided by g/3 - 2 - 280/(-24).
9
Suppose 3*h + 39 = 6*h. Suppose -1205 = -10*d + 1615. Let p = d + -206. What is the remainder when p is divided by h?
11
Suppose -15*p + 586 = -239. What is the remainder when 31/(-5 + p/10) is divided by 32?
30
Let j be (16/(-20))/(2/10). Let z(q) = -q**3 + 7*q - 8. Let g = 56 + -41. What is the remainder when z(j) is divided by g?
13
Let d = -1817 - -490. Let q = -1289 - d. Calculate the remainder when q is divided by 2*(2 - 1/(-2)).
3
Let l = 8 - -5. Let s(w) = 32 + 11*w - 423*w**2 - 429*w**2 + 854*w**2. Calculate the remainder when s(-6) is divided by l.
12
Suppose -6 + 96 = 3*l. Suppose -17*v + l*v - 273 = 0. What is the remainder when 55 is divided by v?
13
Suppose 85*l - 1547 = 92*l. Let n = -210 - l. Calculate the remainder when 32 is divided by n.
10
Let s = -7003 - -7072. Calculate the remainder when 201 is divided by s.
63
Suppose -35*t = -106*t + 27832. What is the remainder when 397 is divided by t?
5
Suppose 6331 - 12857 = -12*q - 6298. Calculate the remainder when q is divided by ((-1)/3)/(1/(-21)).
5
Suppose 0 = 2*b - b - 15. Let g(k) be the first derivative of k**4/4 - 14*k**3/3 + 6*k**2 + 54*k + 353. Calculate the remainder when g(13) is divided by b.
11
Let d = -84 + 18. Let v = 83 - d. Let f(x) = -19*x - 13. Calculate the remainder when v is divided by f(-2).
24
Suppose 3*a - 102*o - 214 = -106*o, 2*a - 161 = o. What is the remainder when 935 is divided by a?
77
Let l(s) = 36*s**2 - 11*s + 38. What is the remainder when l(6) is divided by 14?
8
Calculate the remainder when 2124/(-8)*4/(-3) is divided by (-6688)/(-95) + -6*(-1)/10.
70
Suppose 0 = -2*m - 126 + 250. Suppose -5 = -12*r + 7*r. Suppose -2*d + 5*o = -m, -5*d + 156 = 5*o + r. What is the remainder when d is divided by 4?
3
Let p(c) = 3*c**3 + 17*c**2 - 29*c - 159. Calculate the remainder when 1554 is divided by p(-5).
6
Suppose 2774 = 30*w - 1681 + 1725. Calculate the remainder when 906 is divided by w.
87
Suppose 3605 = -2*f + 3679. Suppose 3*b - 1100 = -b. Let t = b - 130. Calculate the remainder when t is divided by f.
34
Let y(a) = -a**2 + 120*a - 3448. Calculate the remainder when 146 is divided by y(50).
42
Suppose 55*b = 66*b - 75658. What is the remainder when b is divided by 80?
78
Suppose 4*n - 810 + 278 = 0. Suppose 4*p + 4*h = 2*p + 112, -3*p + n = -h. Calculate the remainder when 320 is divided by p.
44
Suppose 5*n - 40 = 2*x - 14, -29 = -5*n + 3*x. Suppose -3*a + 9 = -6, 0 = n*z + 4*a - 168. Calculate the remainder when z is divided by 24.
13
Suppose -4*x + 5*m + 17584 = 0, -5*x + 1849*m - 1852*m + 21906 = 0. Calculate the remainder when x is divided by 27.
12
Let z(l) = 37*l**3 - 3*l**2 + 6*l - 58. Calculate the remainder when z(4) is divided by 37.
29
Let y(g) = 41*g - 35. Let a be y(1). Suppose 136 = 2*h - 5*w, 9*h + 4*w - 181 = a*h. Suppose -44 = -5*f + 3*f. What is the remainder when h is divided by f?
19
Let y(u) = 17*u**3 - 13*u**2 - 97*u - 11. Calculate the remainder when y(5) is divided by 45.
44
Suppose -7*m - 716 = -9*m. What is the remainder when m is divided by (9/(-2))/((-636)/(-80) - 8)?
88
Let c(j) = -2*j**2 - 4*j + 9. Let y be c(-3). Suppose x = -y*x + 44. What is the remainder when (-1*2)/(12/(-522)) is divided by x?
10
Let k = 13204 + -11794. Calculate the remainder when k is divided by 113.
54
Let r(i) = -i**3 - 44*i**2 - 85*i + 50. Suppose -6*z - 420 = 4*z. Calculate the remainder when r(z) is divided by 16.
12
Let u = 3444 + -3151. What is the remainder when u is divided by 49?
48
Let z(s) = -s**3 - s**2 + 28. Suppose -3*n + 377 = 4*b - 719, -4*b + 1100 = 2*n. What is the remainder when b is divided by z(0)?
25
Suppose 0 = -5*v - 2*m - 2*m - 135, -112 = 4*v + 4*m. Let u = 29 + v. Calculate the remainder when u is divided by 38/10 + (-1)/(-5).
2
Suppose -4*l + 13 = -267. Let d(o) be the second derivative of o**3 - 48*o**2 + 16*o. What is the remainder when l is divided by d(20)?
22
Let a(j) = -j**3 - 117*j**2 + 125*j + 1026. Calculate the remainder when a(-118) is divided by 101.
99
Let d(u) = -3*u**2 + 2. Let t be d(0). Calculate the remainder when 129 is divided by ((-16)/(-20))/(t/5) - -45.
35
Let m = -10 - -6. Let t(u) = -u**2 + 10*u - 13. Let l(y) = -9*y + 11. Let o(d) = -5*l(d) - 4*t(d). What is the remainder when 79 is divided by o(m)?
38
Let k = 362 + -119. Let z = -190 + k. Calculate the remainder when 154 is divided by z.
48
Let w(b) = -8*b + 5. Suppose 50*x - 55*x + 439 = 3*i, -5*x = 4*i - 582. Calculate the remainder when i is divided by w(-4).
32
Let z be 28 - (5 - (-6)/(-2)). Suppose z = 5*i - 3*i. Suppose 4*o - 102 = -2*g, -4*g + 6*g + 2*o = 102. Calculate the remainder when g is divided by i.
12
Let i = 9684 - 9514. What is the remainder when 630 is divided by i?
120
Suppose 1 - 27 = -2*q. Suppose 0 = d + q - 17. Suppose 102 = d*v - 2*t, -3*t - t = -3*v + 64. What is the remainder when 111 is divided by v?
27
Suppose -4*w - 5*q + 351 + 302 = 0, -608 = -4*w + 4*q. Calculate the remainder when w is divided by (-12)/(-126) - (-836)/42.
17
Let h(t) = -t**3 - 5*t**2 + 4*t + 3. Let l = 1983 - 1168. Let u = l + -684. What is the remainder when u is divided by h(-6)?
11
Suppose -283*s + 62058 + 199080 + 76764 = 0. What is the remainder when s is divided by 26?
24
Suppose -5*n = -5, 0 = -w - 2*n + 19 - 6. Suppose -6*i + 663 = w*i. Let a = 115 - -1. What is the remainder when a is divided by i?
38
Let k be (-10)/45 + (-119)/(-9). Suppose 25*n = 8*n + 357. What is the remainder when n is divided by 0 + 2 + (k - 3)?
9
Let p = 1642 - 1393. Calculate the remainder when p is divided by 6.
3
Let y(i) = 10*i - 1. Let r be y(3). Suppose 4*b + 4*f = 15 + r, 2*b - 2*f - 30 = 0. Calculate the remainder when 74 is divided by b.
9
Let k(o) = 11*o**2 + 73*o - 10. Calculate the remainder when k(9) is divided by 57.
56
Suppose 46 = 2*v + 4*l, 2*l - l + 101 = 4*v. Let w(g) = g**2 + 6*g - 8. What is the remainder when w(5) is divided by v?
22
Suppose 18*o + 62 = 19*o. Suppose 5*c = 15, m - 3*c + 21 = o. What is the remainder when 195 is divided by m?
45
Suppose -5*u = -2*t + 46, -78 + 14 = -4*t - 4*u. Let y = -14 + t. Suppose 1 = -3*g + 3*l + 76, 78 = 3*g - y*l. Calculate the remainder when 40 is divided by g.
18
Calculate the remainder when 76 is divided by ((-7)/28)/((10/(-20))/(135 - 1)).
9
Suppose -1232*a = -1231*a - 2*g - 27, -5*g = -7*a + 171. Let v(l) = 10*l**2 - 6*l - 1. What is the remainder when v(-4) is divided by a?
22
Suppose -26*m + 1935 = -21*m. Let z(r) = -7*r - 3. Calculate the remainder when ((-28)/(-12) - 2)/(3/m) is divided by z(-2).
10
Suppose 143*y - 90189 - 268509 = -48*y. Calculate the remainder when y is divided by 177.
108
Let u(h) = h**3 - 15*h**2 + 14*h + 34. Suppose -11*a + 6*a = 10. Calculate the remainder when (a/(-3))