 19. Calculate the remainder when ((-110)/(-45))/11 - (-313)/9 is divided by k.
16
Let m(y) = 3*y**2 - 11*y - 19. Let b = -24 - -53. Calculate the remainder when m(-5) is divided by b.
24
Suppose 3*q - 1499 = -y, -3096 = -3*y - 2*q + 1387. What is the remainder when y is divided by 100?
93
Calculate the remainder when ((14535/38)/(-51))/((-9)/564) is divided by 27.
11
Let m = 8548 - 8305. Calculate the remainder when 2425 is divided by m.
238
Let o be 1 + 12/(-21) + (-6498)/(-126). Suppose s + m - 7 = 0, -o*m + 9 = -49*m. Calculate the remainder when 71 is divided by s.
3
Let k = -11987 + 12133. What is the remainder when k is divided by 107?
39
What is the remainder when 1792 is divided by (4136/(-846))/(2/(-12))*(-42)/(-4)?
252
Suppose 0 = 5*b - b - 3*i - 275, -2*i - 140 = -2*b. Calculate the remainder when b is divided by (138/(-92))/(6/(-80)).
5
Suppose 3 + 22 = 2*q + 5*f, -5*q = -2*f - 19. Suppose 5*w = -q*c + 2795, -554 = -w + 5*c - 7*c. What is the remainder when w is divided by 57?
51
Suppose 0 = -4*a - 5*q + 602, 2*a + 734 = 7*a - 3*q. Calculate the remainder when a is divided by 136.
12
Calculate the remainder when 342 is divided by (624/(-84))/13 + 96/21.
2
Suppose 0 = 2*x - 3*x + 3. Let p(t) = 15*t**3 - 2 - 27*t**3 + 3 + 3*t**2 + 13*t**3 - 6*t**2. Calculate the remainder when 8 is divided by p(x).
0
Let z(c) = -39*c + 704. Calculate the remainder when 2239 is divided by z(16).
79
Let y(c) = -11*c**2 - 3. Let o(g) = 10*g**2 + 2. Let j(v) = 3*o(v) + 2*y(v). Suppose a = 2 + 3. What is the remainder when j(-1) is divided by a?
3
Let o = -2620 - -2679. Calculate the remainder when 127 is divided by o.
9
Suppose 0 = 12*i + 5*i - 51. Let v be 2 + 3/(2/(-66)*i). Let g = 2 - v. What is the remainder when 62 is divided by g?
29
Let s(d) = 2*d**2 + 93*d - 808. Calculate the remainder when s(-55) is divided by 59.
9
Let m = -66 - -72. Let t(q) = q**3 - 6*q**2 - 4*q + 18. Let o be t(m). Let n(d) = 2*d**2 + 11*d + 5. What is the remainder when 39 is divided by n(o)?
6
Let z(d) = 4*d**3 - 23*d**2 + d + 12. Let g be z(5). Calculate the remainder when 86 is divided by 230/92*g/(-5).
28
Let m = 10 + 10. Let y(s) = 21*s + 320. What is the remainder when m is divided by y(-15)?
0
What is the remainder when 12/33 + -1*(4 + 22145/(-55)) is divided by 20?
19
Let a = -107 - -178. Let f be -3 - (2 + -3 - -1) - a. Let s = -72 - f. What is the remainder when 6 is divided by s?
0
Suppose -168 = 4*g - 25*g. Suppose g*r = 107 + 101. What is the remainder when 60 is divided by r?
8
Suppose 7054 = 5*s - 5*m + 429, 3*m - 2665 = -2*s. Let f = -529 + s. Calculate the remainder when f is divided by 20.
19
What is the remainder when (-2)/11 + (-15 - (-169764)/308) is divided by 77?
74
Let l(f) = 4*f**2 + 6*f - 3. Let y be l(-3). Suppose -y*p - 83 = -323. Let u = -99 + 146. Calculate the remainder when u is divided by p.
15
Let r(y) = 4*y**2 + 471*y + 3402. What is the remainder when r(-7) is divided by 73?
9
Suppose t - 933 = -680. Calculate the remainder when t is divided by 4.
1
Calculate the remainder when 310 is divided by (13 - 9) + (102 - 5).
7
Suppose 5*w + 3*j = 573, 2*w = -41*j + 44*j + 204. Calculate the remainder when w is divided by 33.
12
Calculate the remainder when 3189 is divided by 9/(-45)*-5 + 24.
14
Let b be 1/(10/(-1137 + -3)). What is the remainder when 1479 is divided by b/(-8)*19/(209/44)?
54
Suppose -3*d + 4*h - 2 + 13 = 0, -5*h = 4*d + 37. Calculate the remainder when 5 is divided by 25/5 - (-1 - 9/d).
2
Let j(k) = k**3 - 11*k**2 + 12*k - 14. Let c be j(10). Suppose c*y - 42 = 36. What is the remainder when 128 is divided by y?
11
Suppose 4*t - 4*s - 292 = 0, -5*s - 69 = -2*t + 74. What is the remainder when 215 is divided by t?
67
Suppose 2*b = 5*b - 324. Suppose 3396*x - 54 = 3414*x. What is the remainder when 110 is divided by x*(-3)/(b/(-8))*-21?
12
Suppose 2*j = -f + 34, j - 44 = -f - 3*j. Let p(q) = -104 + 162 + 190 + 109 - 5 + 20*q. What is the remainder when p(-13) is divided by f?
20
Suppose 191 = -4*d + 215. Let n = 35 - d. Suppose 3*m + 1 = -w, 4 = 5*w + 5*m - 11. Calculate the remainder when n is divided by w.
4
Let i = -11 + 19. Calculate the remainder when 5*(-217)/310*104/(-14) is divided by i.
2
Let m = 138 + -104. Suppose 9 - m = -l. Calculate the remainder when 47 is divided by l.
22
Suppose -q + 18 = -4*u, -2*u - u = 2*q + 8. Let p(b) = 2*b**3 + 88*b**2 + 91*b + 224. Calculate the remainder when p(-43) is divided by q.
1
Let g = 13168 + -13055. What is the remainder when g is divided by 64?
49
Suppose -3*p - m - 79 = 0, 21*m - 22*m - 1 = 0. Let l = 228 - p. What is the remainder when l is divided by 8?
6
Let p(j) = 5*j - 1 + 29*j + j**3 - 19*j**2 + 22 + 0. Let x be p(18). Suppose 21 + x = 5*z. Calculate the remainder when z is divided by 34.
32
Let f(b) be the first derivative of b**4/2 - 46*b**3/3 + b**2/2 - 12*b - 260. Calculate the remainder when 115 is divided by f(23).
5
Suppose -9*c + 408 = 3*c. Let f(k) = 32 - c + 4*k - 5*k - 3*k**2 + k**3. What is the remainder when 35 is divided by f(4)?
5
Suppose 5*h + 278 = 8*h + 4*a, -3*h + 233 = -5*a. Suppose -h*z = -84*z - 68. What is the remainder when z is divided by 15?
4
Suppose 13*h - 1180 = 46 - 17. Calculate the remainder when 551 is divided by h.
86
Suppose -x + 436 = -4*c, 5*x - x - c = 1669. Calculate the remainder when x is divided by 53.
45
Suppose -d = 8*d - 288. Suppose -38 = -z + 2*p + d, 0 = 5*z + 5*p - 380. Calculate the remainder when 144 is divided by z.
70
Suppose v - 23 = -5*x, 5*x + 2*v = -3*v + 35. Let c be 8/16*(27 + (-1)/1). Suppose -x*z - c = -57. What is the remainder when 51 is divided by z?
7
Suppose -156*a + 151*a = 2465. Let x = -485 - a. Calculate the remainder when 35 is divided by x.
3
Let i = -394 + 398. Suppose 322 = 3*x - n, 3*n - 211 = 2*x - i*x. Calculate the remainder when x is divided by 36.
35
Let l(i) = -12*i - 569. Calculate the remainder when 568 is divided by l(-51).
9
Suppose -41*y + 140841 = -119843 - 117090. Calculate the remainder when y is divided by 48.
46
Let u = 7876 - 6949. What is the remainder when u is divided by 55?
47
Let m(o) = 74*o + 1853. What is the remainder when m(-24) is divided by 51?
26
Let h = 255 - 247. Suppose 5*l - l + 12 = 0. What is the remainder when 65 is divided by (h/l)/(13/(-39)) - -3?
10
Let a(z) = -z. Let y(w) = -6*w + 21. Let s(o) = -5*a(o) + y(o). Calculate the remainder when 196 is divided by s(-12).
31
Let y be -3 - (-10 + -1 + 4/2). Suppose -y*h = -h - 155. Suppose r - 5*r - 5*p + 151 = 0, r - p = h. Calculate the remainder when 99 is divided by r.
31
Let v(b) be the second derivative of -b**5/20 + 11*b**4/4 - 113*b**3/6 - 24*b**2 + 184*b. Calculate the remainder when 107 is divided by v(29).
29
Suppose q = 2*q + 2. Let i be (14/21)/(q/(-12)). Suppose -i*r = -5*a - 22, r - 5*a - 3 - 10 = 0. What is the remainder when 8 is divided by r?
2
Let a(u) = 18*u**2 - 119*u - 115. Let v = -3 - -2. What is the remainder when a(-1) is divided by v + 10 + (4 - 4)?
4
Let p = -58 + 58. Suppose p*l = -3*l + a + 107, 5*a = -3*l + 131. Suppose 435 = 2*d + d. What is the remainder when d is divided by l?
34
Let c = -224 + 196. What is the remainder when 20 is divided by (20/c + 1)*14?
0
Suppose 450*q + 10074 = 24474. Suppose -i = 2*i - 183. What is the remainder when i is divided by q?
29
Calculate the remainder when -11 + (-520)/(-48) - 4/48*-998 is divided by (-12)/(-21) - 376/(-28).
13
Suppose 68 = -2*t + 6*t. Let w be (2/(-3))/((-348)/(-36) + -10). Suppose 4*s - 7 = 3*d + 16, -3 = -s - w*d. Calculate the remainder when t is divided by s.
2
Suppose -3*w = w - 5*m + 203, 3*m + 179 = -4*w. Let o = w + 81. Suppose -874 + 869 = -z. Calculate the remainder when o is divided by z.
4
Let s be 29 + (28/12 - 1)*3. Suppose 5*v = s*v - 308. Calculate the remainder when 64 is divided by v.
9
Let f(s) = -s**2 + 25*s + 19. Let p(d) = -6*d - 36. Let c be p(-10). Let u(n) = 120*n + 2. What is the remainder when u(1) is divided by f(c)?
36
Let a be -6 + 6 + -3 + 7. Let v(i) = -2*i - 25. What is the remainder when (-30)/a*(-56)/35 is divided by v(-14)?
0
Suppose 0 = -2*h + 5*f + 254, -4 = 4*h - 3*f - 512. Suppose 2*y - t - 19 = 0, 5*y - y - 28 = 4*t. What is the remainder when h is divided by y?
7
Let z(w) = -w**3 - 24*w