 z = 10552 - 10019. What is the remainder when z is divided by 188?
157
Let b(s) = -523*s - 299. Calculate the remainder when b(-6) is divided by 315.
4
Let m = -205 - -205. What is the remainder when ((m + 1)*3)/((-6)/(-146)) is divided by 7?
3
Suppose -5*j = -84 - 66. Let k(w) = w**2 + 26*w - 144. Let a be k(-31). Let g(d) = d**3 - 7*d**2 - 41*d - 22. Calculate the remainder when j is divided by g(a).
8
Let x(p) = -200*p - 1924. What is the remainder when 693 is divided by x(-10)?
9
Suppose 28*l - 25*l = -4*q + 46, 4*q + 4*l - 48 = 0. Suppose -4*c = -3*d + 23, 0 = -d + 2*c + 6 + 3. What is the remainder when q is divided by d?
0
Suppose 0 = 33*k + 52*k - 680. What is the remainder when 55 is divided by k?
7
Suppose 2*j = 4 + 2. Let v(p) = 3*p**2 + 3446635*p + 9 - p**2 - 3446639*p. What is the remainder when 117 is divided by v(j)?
12
Calculate the remainder when 133 is divided by (4 - -11) + 115 + -19.
22
Let d(f) = -2*f + 28. Let w be d(14). Let x(z) = -z**2 - 2*z + 175. Calculate the remainder when x(w) is divided by 30.
25
Let m = -56 + 59. Suppose -6*t = t - m*t. Suppose t = -3*y + 10*y - 70. Calculate the remainder when 48 is divided by y.
8
Suppose 214 = 9*u - 8*u + 2*x, 4*x + 572 = 3*u. What is the remainder when u is divided by 60?
20
Suppose 19*d - 23996 = -83*d + 18130. What is the remainder when d is divided by 17?
5
Suppose o = 2*o - 3*u - 14, o - 15 = 2*u. What is the remainder when ((1/(-1))/(-5))/(566/427330) is divided by o?
15
Let i = -877 - -1556. Suppose 0 = 2*k + y - i, -5*k + 1228 + 492 = -5*y. Calculate the remainder when k is divided by 19.
18
Let i(h) = 4*h**2 + 7*h - 1. Let l = -7 - -4. Let n be i(l). Suppose -7*x + 49 = -n. What is the remainder when x is divided by 6?
3
Let p = 111 + -78. Suppose 5*i = 7*j - 3*j - p, -27 = -j - 5*i. Suppose a + 19 = 2*a. Calculate the remainder when a is divided by j.
7
Let w(c) = 15*c + 25. Suppose 8*y + 36 = 5*y. Let b(u) = -u - 3. Let a be b(y). What is the remainder when w(a) is divided by 54?
52
Let m = -1475 + 1817. Calculate the remainder when m is divided by 76.
38
Suppose -v - s + 9 = 3*s, 5*s - 41 = -3*v. Let d = v - 11. Suppose 154*n - 525 = 49*n. What is the remainder when d is divided by n?
1
Suppose 147*b = 120*b + 18171. Let h = -336 + b. Calculate the remainder when h is divided by 10.
7
Suppose 516 - 1441 = -5*o. Let z(s) = -6*s**2 - 60*s + 15. Let y be z(-8). Let v = o - y. Calculate the remainder when v is divided by 15.
14
Suppose -15*b + 40263 = 14643. What is the remainder when b is divided by 171?
169
Suppose 5*t = 9 - 4. Let u be -23 - -29 - 209*1. Let h = u - -204. What is the remainder when h is divided by t?
0
Let k = -2572 - -2602. What is the remainder when 498 is divided by k?
18
Suppose 0 = p + 619*m - 624*m - 338, -3*p - 4*m = -938. What is the remainder when p is divided by 36?
30
Suppose -d - 5*b - 6 + 18 = 0, -3*d + 3*b = -54. Suppose 40 = 5*i - 20. Suppose i*w - 440 = -68. What is the remainder when w is divided by d?
14
Suppose 329 = 2*o + 5*c, 7*o - 6*o = -4*c + 157. Let y = 1082 + -1046. What is the remainder when o is divided by y?
33
Let a(o) be the first derivative of o**3 - 9*o**2/2 - 2*o + 12. Let m be a(3). Let n(g) = -30*g + 1. What is the remainder when n(m) is divided by 21?
19
Suppose -2*n + 3*n + x = -2, 2*n - 5*x - 31 = 0. What is the remainder when (20/(-50))/(n/(-240)) is divided by 17?
15
Let p(g) = 337*g + 76. Let i be p(5). Calculate the remainder when (i/3 - -3) + -1 + -2 is divided by 42.
41
Suppose -4*j - 3*d = -998, -2*j - 3*d = -23 - 473. Let c = 4672 - 4651. Calculate the remainder when j is divided by c.
20
Let o(z) = 2*z + 2*z + 1 - 20*z**2 + 21*z**2 - 7*z**3. Let s be o(-2). Suppose 5 = -h, -2*h = 3*w - 6 - s. What is the remainder when w is divided by 8?
7
Let r be (-18 + -252)*(0 - (-1)/(-2)). Let z = r - 119. What is the remainder when 55 is divided by z?
7
Let n(s) = 1180*s**2 - 20*s - 33. What is the remainder when n(-6) is divided by 18?
15
Let b = 11921 - 11887. What is the remainder when 38 is divided by b?
4
Let m(l) = -l**2 + 33*l - 34. Let s be m(23). Let d = s - 152. What is the remainder when 175 is divided by d?
43
Let h(a) = a**3 + 3*a**2 - 4*a + 5. Let r be (16/(-4) + 12)*2/(-4). Let w(b) = b**2 - 13*b - 45. What is the remainder when w(r) is divided by h(-4)?
3
Let u(v) = 2*v**3 - 3*v**2 - 5. Let l(c) = -c**2 + 9*c**3 - 27*c - 24*c + 1 + 48*c. What is the remainder when l(2) is divided by u(3)?
19
Suppose -3*m = d - 30, 3*d = -3*m - 0*m + 72. Suppose -6*r = -9*r + 48. Let l = r + 19. Calculate the remainder when l is divided by d.
14
Let i(v) be the second derivative of -9*v**5/20 - v**3/6 + v**2 - 3*v. What is the remainder when i(-3) is divided by ((-19 + 4)/5)/((-19)/437) - 6?
59
Let h(i) = 2*i**3 + 34*i**2 + 30*i + 11. Let b be h(-16). Let r = b + 21. What is the remainder when r is divided by 34?
30
Let b(y) = -3*y**3 + 22*y + 49. Calculate the remainder when 844 is divided by b(-3).
12
Let x = 47 + 273. Suppose 5*v = 3*z + x, z + 128 = v + v. Calculate the remainder when 186 is divided by v.
58
Suppose -47 = -2*t + 3. What is the remainder when (15 + -5)*2/(-4)*148/(-5) is divided by t?
23
Let i = 539 - 530. Let q(v) = -v**3 + 12*v**2 - 23*v + 20. What is the remainder when 670 is divided by q(i)?
54
Suppose w + 5*b = 3*b + 570, -5*b = -w + 563. Let x = -513 + w. What is the remainder when 163 is divided by x?
53
Suppose 74 = -45*u + 749. Let s = -6 + 11. Let z(v) = 19*v - 7. Calculate the remainder when z(s) is divided by u.
13
Let b be 1/4 + (35/(-28) - 5). Calculate the remainder when 49 is divided by (210/20)/(b/(-16)).
21
Let y = 172 + -175. What is the remainder when 13 is divided by 1 - (5 - (y - (-16 - -4)))?
3
Let c = -47 - -33. Let w(u) = -u**3 - 15*u**2 - 13*u + 30. Let o = 59 + -54. Calculate the remainder when w(c) is divided by o.
1
Suppose 2*i = -5*l + 1794, 4*l + 35 = 11. Calculate the remainder when i is divided by 899.
13
Suppose 688*l + 5720 = 251*l + 10930 + 14018. Calculate the remainder when 1/4 + 699/4 is divided by l.
43
Let d(x) = 2*x**2 - 103*x + 541. Calculate the remainder when 254 is divided by d(5).
26
Let k(l) = 2*l - 37. Let w be 4/3*(-1479)/(-58). What is the remainder when 153 is divided by k(w)?
29
Let m = 8276 + 7561. What is the remainder when m is divided by 18?
15
Let k = -42269 + 42782. Calculate the remainder when 568 is divided by k.
55
Let m = 2619 - 2185. Calculate the remainder when m is divided by 35.
14
Let x = -192 - -229. Suppose 19*s = 18*s + x. Let u(c) = 12*c - 2. Calculate the remainder when s is divided by u(1).
7
Suppose 0 = -t + 5*v + 182, -2*v + 115 = -4*t + 771. Calculate the remainder when 330 is divided by t.
6
Let q(h) = -h**3 - 9*h**2 - 20*h - 12. Let a be q(-6). Suppose a*j = -4*j + 132. What is the remainder when 62 is divided by j?
29
Let u(m) = -748*m - 2593. What is the remainder when u(-5) is divided by 181?
61
What is the remainder when 45 is divided by 129/15 + -7*48/560?
5
Let p(j) = 41*j + 658. Let z = -19 + 28. Calculate the remainder when p(-15) is divided by z.
7
Let j(p) = -3*p**3 - 3*p**2 - p + 6. Suppose 0 = 8*y - 15*y + 7595. Suppose 110 = -13*v + y. Calculate the remainder when v is divided by j(-2).
15
Suppose u - 2*u - 55 = -5*i, 0 = -3*u. Suppose i*s + 665 = 12*s. Calculate the remainder when 76 is divided by (-2)/(-5) + 4/(100/s).
22
Let n(g) = -g + 48. Calculate the remainder when 2548 is divided by n(-54).
100
Let h(k) = -13*k + 1. Let m be 2/(-4)*-5*344/215. Suppose 3*w + 11 = -m*i, -5*w + 5*i = -6 + 1. What is the remainder when 40 is divided by h(w)?
12
Let q(v) = 2*v**2 - 2*v - 4. Let t(b) = -b**3 + 19*b**2 - 14*b + 721. Calculate the remainder when t(20) is divided by q(3).
1
Let c(s) = 219*s - 4087. What is the remainder when 274*(0 + -2)/(-2) is divided by c(19)?
52
Let l(n) = -9*n**2 + 39*n - 3. Let r be l(8). Let s = r - -270. Calculate the remainder when (2/4)/((-2)/(-56)) is divided by s.
2
Let k(t) = t**3 - 13*t**2 - t + 35. Let n be k(13). Let j(q) = q**2 - 16*q - 45. What is the remainder when j(n) is divided by (-5)/(-1*(-2)/(-12))?
27
Let j(s) = -s**3 - 16*s**2 - 23*s - 31. Let o be j(-15). Suppose 3*d = 6*a - a - o, 0 = -5*a + d + 83. Calculate the remainder when a is divided by 12.
4
Let 