ate the remainder when i is divided by x.
15
Calculate the remainder when 18223/5 - (-63)/45 is divided by 32.
30
Let x(c) = 10*c + 3. Let b = 28296 + -28180. Calculate the remainder when b is divided by x(3).
17
Calculate the remainder when 142 is divided by 18/(-57) - (-103003)/1577.
12
Let d(s) = -2*s**3 - 4*s**2 - 31*s - 75. Calculate the remainder when d(-5) is divided by 34.
26
Let h(z) = 6*z**3 - z**2 + 3*z + 1. Let t be h(2). Let l = -47 + t. Suppose -2*x + 43 = k - 1, l*k + 3*x = 171. What is the remainder when k is divided by 14?
0
Let m be 15/((-2)/(-9) - 46/(-36)). Suppose m*k - 21*k = -154. What is the remainder when 82 is divided by k?
12
Let v(f) = -f**2 - 27*f + 48. Let u be v(-27). Suppose 8*h - 5*h = -3*q + u, -3*h = -3*q - 60. What is the remainder when 53 is divided by h?
17
Let o = -450 - -765. Suppose -5*m = -2*n + o, 5*n - 2*m - 765 = 3*m. What is the remainder when n is divided by 38?
36
Let d = -526 - -549. Let s(u) = -u**3 + 24*u**2 - 27*u + 166. What is the remainder when s(d) is divided by 67?
7
Let t = 161 - 144. Let i = 36 - t. Calculate the remainder when 40 is divided by i.
2
Suppose -7*n = -13*n + 2550. Suppose 33*z - 58*z + n = 0. Calculate the remainder when 134 is divided by z.
15
Let n(p) = p**2 + 20*p - 100. Suppose b - 1 - 2 = 0. Calculate the remainder when n(12) is divided by b.
2
Suppose -2*w + 60 = 6*p - 2*p, 2*w - p - 70 = 0. Suppose 0 = 4*c + 5*m - 1061, -4 = -c + m + 268. Calculate the remainder when c is divided by w.
31
Let n(w) = -236*w - 1791. Calculate the remainder when n(-17) is divided by 79.
9
Suppose 19*h = 14*h + 65. Let v = h - -4. Calculate the remainder when 133 is divided by v.
14
Let n(s) = -s**3 - 12*s**2 - 15*s - 20. Let p be (14/(-3))/(2*(-2)/12). Suppose -p*u + 12*u - 22 = 0. What is the remainder when 71 is divided by n(u)?
23
Suppose 4*b - 23 = 13. Suppose 149 = -41*j - 179, 149 = -5*o + j + 462. What is the remainder when o is divided by b?
7
Let i = 79 + -19. What is the remainder when (-52)/(((-54)/i)/9) is divided by 29?
27
Suppose 4*t + 5*o = -62 + 151, -o = 2*t - 37. Suppose 0 = -2*j + j, -5*w = 5*j - 230. Let g = w + -23. Calculate the remainder when g is divided by t.
7
Let w = -26 + 31. Let l(o) = -o**3 + 4*o**2 - 3*o - 6. Let x be l(5). Calculate the remainder when (x/(-4))/(18/36) is divided by w.
3
Let g(c) = 4*c**2 + 84*c + 825. Suppose 97 = 2*v + 31. Calculate the remainder when g(-9) is divided by v.
30
Suppose -2*m + 100 = 3*p, 49 = 50*m - 49*m + 2*p. What is the remainder when (-1 - -3)/((-3)/(-474)) is divided by m?
51
Let m(z) = z**3 - 15*z**2 + 16*z - 35. Suppose 5*b = 7*b - 28. Let j be m(b). What is the remainder when 36/(-14) + 2 - 333/j is divided by 18?
11
Let b be -22*(-2)/5*-10. Let g = b + 88. Suppose -29*x + 26*x + 126 = g. Calculate the remainder when 207 is divided by x.
39
Let t be -5 - 9/(-3)*4. What is the remainder when 73 is divided by (5 - t)/(((-2)/(-1))/(-38))?
35
What is the remainder when (1 - (-1479)/(-6))/(29/(-638)) is divided by 169?
162
Let j = 19358 + -18595. What is the remainder when j is divided by 14?
7
What is the remainder when 812 is divided by (((-1)/(-3))/((-7)/2340))/(81/(-567))?
32
Let o = 151 - 93. What is the remainder when 229 is divided by o?
55
Let x(p) = 2*p**2 + 8*p + 7. Let y be x(-8). Let d = y - -27. What is the remainder when d is divided by 9?
8
Suppose 2*d = -d - v + 22, -2*d + 3*v + 22 = 0. Let x = -547 + 619. Let o = -70 + x. What is the remainder when d is divided by o?
0
Suppose -20 = -2*g + 14. Let k(t) = 37*t**2 - 15*t - 36*t**2 + 17 - g. Calculate the remainder when 109 is divided by k(16).
13
Suppose -4*w = 16, 5*o = 2*w + 1425 - 417. Calculate the remainder when 253 is divided by o.
53
Let o(t) = -14*t + 148. Let b be o(10). Let c(n) = n**2 - 10*n + 27. What is the remainder when 108 is divided by c(b)?
9
Let j(l) = -11*l**3 + 3*l**2 + 4*l + 2. Let h be j(-1). Let b = 483 + -38. Suppose 7*z = h*z - b. Calculate the remainder when z is divided by 31.
27
Let a = -3 + 44. Suppose -3*u + 5*f = -258, -13*u = -10*u + 4*f - 231. Calculate the remainder when u is divided by a.
40
Suppose -2*t = -4*n - 838, 94*n - 16 = 98*n. Calculate the remainder when t is divided by 118.
57
Suppose 7*w - 39 = -3*c + 5*w, 2*c = 5*w + 7. Suppose 4*m - a + c = 47, 0 = -5*m + 4*a + 34. What is the remainder when 36 is divided by m?
6
Suppose 5*x + 4 - 14 = 0. Suppose 0 = x*q - 2*l + 2, -6*l = 3*q - 2*l + 3. Let i(k) = -59*k - 2. What is the remainder when i(q) is divided by 20?
17
Suppose l + 3*l = -4*l + 856. What is the remainder when 150 is divided by l?
43
Let n = 359 + -107. Let h = 258 - n. Calculate the remainder when 41 is divided by h.
5
Let v(i) = -i**2 - 9*i - 5. Let y(r) = -r**3 - 10*r**2 - 24*r - 15. Calculate the remainder when v(-4) is divided by y(-2).
0
Suppose 0 = -d + 8, -5*d = 4*m - 672 - 336. What is the remainder when m is divided by 16?
2
Suppose -29889 = 94671*g - 94698*g. Calculate the remainder when g is divided by 73.
12
Let m = 59 + -98. What is the remainder when 5*m*4/(-10) is divided by ((-216)/(-45))/(3/10)?
14
Let v be 3/(-9)*6*(-442)/(-4). Let r = -174 - v. Calculate the remainder when r is divided by 37.
10
Suppose -5*c + 152 = 3*k, 64 + 8 = 2*k - 4*c. Calculate the remainder when k is divided by 10.
4
Suppose -4*v = -5*p + 599, 176*v = 3*p + 181*v - 389. Calculate the remainder when 769 is divided by p.
31
Suppose -n = -2*m - 1164, 5*m = 4*n + 108 - 4782. Calculate the remainder when n is divided by 107.
106
Let l = -384 + 806. Let p(b) = -b**3 + 23*b**2 - 19*b + 6. What is the remainder when p(22) is divided by 10/(-55) + l/22?
15
Let t(v) = -189*v - 1210. Calculate the remainder when t(-11) is divided by 88.
77
Suppose 3*s + 3*l - 528 = 0, -170 = -2*s + 2*l + 150. Calculate the remainder when 606 is divided by s.
102
Let n = 55 + -64. Let t(u) = -19*u - 10. Calculate the remainder when t(n) is divided by 34.
25
Suppose -1 - 34 = -5*k. Let o be (-1)/((-4)/16) - 4. Suppose o = k*x - 4*x - 39. Calculate the remainder when 25 is divided by x.
12
Let z(u) = u**3 + 5*u**2 + 2*u + 3. Calculate the remainder when (-5)/(-40)*-3 + (-25)/40 - -21 is divided by z(-4).
9
Suppose -j + 19 = 4*j + 3*c, 5 = 4*j - c. Let b(o) = 6*o**3 - 2*o**2 - 2*o + 3. What is the remainder when b(j) is divided by 11 + (1 - (3 + -5))?
11
Suppose -18*d - 729 = -9*d. What is the remainder when 119 is divided by (270/d)/((-22)/18 - -1)?
14
Suppose a + 5 = 0, 16*a = 4*w + 13*a - 119. Calculate the remainder when 169 is divided by w.
13
Let o = -20 - -23. Suppose 0 = 2*n - o*s, -4*n - 5*s = -s + 20. Calculate the remainder when 25 is divided by ((-6)/n - 4) + 16.
11
Suppose -1400 = -52*o - 20*o + 22*o. Calculate the remainder when 501 is divided by o.
25
Calculate the remainder when (-193258)/(-28) + (13 - 6039/462) is divided by 266.
252
Let k = 458 - 442. Let i(h) = 5*h**2 + 2*h - 1. What is the remainder when 14/(-8) + 428/k is divided by i(-2)?
10
Suppose -2150 = -41*n + 1704. What is the remainder when 198 is divided by n?
10
Let g = -7247 - -7523. What is the remainder when g is divided by 19?
10
Let f(y) = 6728*y**3 - 14*y**2 + 51*y - 36. Calculate the remainder when f(1) is divided by 99.
96
Suppose -4*b = 0, 2*b = -5*a + 673 + 442. Calculate the remainder when a is divided by 83.
57
Suppose 0 = 28*j - 37*j + 45. Suppose -j*t + t = -108. Calculate the remainder when 128 is divided by t.
20
Let n = 564 - -25. Suppose -3*t + 2*x = -4*t + 59, 0 = -5*t - 3*x + 295. Calculate the remainder when n is divided by t.
58
Suppose -3*r + 952 = b, 26*r - 22*r + 903 = b. What is the remainder when b is divided by 12?
7
Let a(o) = 2*o**3 - 2*o**2 - 5*o + 3. What is the remainder when a(3) is divided by (-180)/10*(4 - (-174)/(-36))?
9
What is the remainder when 872 is divided by 219 + -88 - (-138)/6?
102
Suppose -t + 1527 = 4*t - 5888. Calculate the remainder when t is divided by 53.
52
Let r(q) = 427*q - 78. Let w be r(2). Let i = w + -764. Calculate the remainder when i is divided by 8.
4
Let c(l) be the third derivative of l**6/60 + 59*l**5/60 - 4*l**4/3 - 17*l**3/2 + 110*l**2. Calculate the remainder when 1 + (25 + 0 - 0) is divided by c(-30).
8
Suppose -6071*b = -6078*b + 616. Calculate the remainder when b is divided by (