
10
Suppose -5*i - 307 = -4*x, 0*i - i + 5 = 0. What is the remainder when x is divided by 30?
23
Let g = 389 - 327. Calculate the remainder when g is divided by 18.
8
Suppose -2*v + 6 = 2*i, -i - 4*v = 5 - 2. Suppose -2*l = 0, 3*s - i + 14 = -4*l. Calculate the remainder when 86 is divided by (-63)/s + 6 + -5.
20
Suppose -4*o + b + 252 = 3, 3*o - 177 = 4*b. Calculate the remainder when 689 is divided by o.
59
Suppose -5*g = -12 - 58. Let n(f) = 46*f + 3. Let x be n(3). Let p = x - 88. What is the remainder when p is divided by g?
11
Suppose -31*g + 4*b + 136 = -27*g, b - 90 = -3*g. What is the remainder when 121 is divided by g?
28
Suppose -w = 3*w - 1252. Let i = 142 - w. Let j = -94 - i. What is the remainder when j is divided by 20?
17
What is the remainder when 377 is divided by (-3)/(-36) + (-24266)/(-264)?
9
Let b(u) = u**3 - 6*u**2 - 4*u - 3. Let o be b(7). Suppose -5*a = -273 + o. Calculate the remainder when a is divided by (-15)/(-3)*((-28)/(-5) - 3).
12
Let d = -39 + 111. Suppose 8*a - 3*a = -g + d, 0 = -4*a - 4*g + 48. Calculate the remainder when 20 is divided by a.
5
Let s(p) = 2*p + 13. Let x be s(0). Suppose -3*d + 56 = -x. What is the remainder when 44 is divided by d?
21
Suppose 5*q + 37 - 10 = 4*y, 5*y - 38 = 2*q. Let k be -1*y/12*3. What is the remainder when 42 is divided by -24*(-1 + 0) + k?
20
What is the remainder when 2/(-16) - 491172/(-1056) is divided by 36?
33
Let o(s) = 4*s**2 - s + 2. Let d = -16 + 25. What is the remainder when d is divided by o(1)?
4
Let t(s) = -s**3 - 9*s**2 - 20*s - 9. Calculate the remainder when 180 is divided by t(-8).
6
Suppose 7*b - 2150 = -519. Let p = -14 + 73. What is the remainder when b is divided by p?
56
Let f(g) = -7*g + 135. Calculate the remainder when 87 is divided by f(15).
27
Suppose 117 = -12*d + 381. Calculate the remainder when d is divided by 8.
6
Let g = -209 - -325. Suppose 3*j - g = -j. Suppose 4*o - 3*r = 29, 3*o + o - 27 = 5*r. What is the remainder when j is divided by o?
5
Let g(d) = 41*d**2. Let p be g(-1). Suppose -36*q = -p*q + 20. Suppose 0 = r - 8 - 2. What is the remainder when r is divided by q?
2
Let o = 1008 - 984. What is the remainder when 814 is divided by o?
22
Let a(c) = -30*c - 67. Calculate the remainder when a(-6) is divided by 33.
14
What is the remainder when 18 is divided by (-6 - 4)/((3 + -2)/(-1))?
8
Suppose 0 = 4*g - 2*n + 2, 2*g - 2*n + 26 = -6*n. What is the remainder when 54 is divided by g/(-15) - (-108)/10?
10
Suppose -56 = -4*d + 28. Suppose d - 137 = -2*b. Let z(j) = -j**2 + j + 20. What is the remainder when b is divided by z(0)?
18
Suppose -4*o - 4*h + 7 = -73, 4*h + 82 = 5*o. Calculate the remainder when 82 is divided by o.
10
Suppose -3*t + 4*t - 4*z = 21, -3*t + 23 = -2*z. Suppose -2*h + 3*h + 3*o - 54 = 0, 3*o = -3*h + 168. What is the remainder when h is divided by 1*-3*t*-1?
12
Let u(r) = r**3 + 22*r**2 + 23*r + 52. Suppose -21 = t - 2*p, -25 + 109 = -4*t + p. Calculate the remainder when 38 is divided by u(t).
8
Suppose -2*s - 5 = 4*u - 25, -4*u = -5*s - 6. Suppose -71 = -s*j + 5*b, -3*b + 6*b = -3*j + 138. What is the remainder when j is divided by 52/2 - 17/(51/12)?
21
Let s(h) = -4*h**2 - 2. Let t(w) = -3*w**2 + w - 1. Let b(m) = -4*s(m) + 5*t(m). Let a be b(-4). Calculate the remainder when 13 is divided by 7*(2 + a)*1.
6
Suppose k - 1 = 0, 3*k = -2*h + 2*k + 9. Suppose w + 69 = h*w. Let s(c) = -17*c + 5. What is the remainder when s(-5) is divided by w?
21
Let t = 1379 - 1316. What is the remainder when 267 is divided by t?
15
Let y(v) = v**3 + 3*v**2 - 4*v + 3. Suppose 13*d - 17*d + 1 = -5*w, -5*w = 2*d - 23. What is the remainder when d is divided by y(-4)?
1
What is the remainder when 123 is divided by 4/(76/1425*(-5)/(-2))?
3
Let k = -17 - -22. Suppose -3*f + 1 = -k*q, -f + 0*q + 2*q = -1. What is the remainder when 16 is divided by 5 + f + (8 - 1)?
7
Let z(o) = -26*o + 1. Let i be z(-2). Let h = i + -27. What is the remainder when 77 is divided by h?
25
Suppose 0 = -4*y + 7*z - 2*z - 329, -2*y - 5*z - 157 = 0. Calculate the remainder when 31 is divided by 6/(-4) - y/6.
7
Suppose 4*a + 2*a = 18. Suppose -3*t = -4*s + 39, -t = a*s - 2*t - 33. Calculate the remainder when s is divided by 3.
0
Let y(m) = 20*m + 523. Calculate the remainder when y(69) is divided by 56.
55
Let r = -587 + 628. What is the remainder when 132 is divided by r?
9
Let c = -112 - -209. What is the remainder when c is divided by 14?
13
Let c = 0 - 13. Let d = c + 24. Calculate the remainder when 30 is divided by d.
8
Suppose -5*r + 5 + 45 = 0. Let g = -22 + r. Let t = g + 15. What is the remainder when 11 is divided by t?
2
Let z(y) = 229*y - 1057. Calculate the remainder when z(6) is divided by 42.
23
Suppose u = -68 + 74. Let c(l) = -l**3 + 7*l**2 - 6*l + 12. Suppose -4*n + 91 = -45. What is the remainder when n is divided by c(u)?
10
Let r(l) = 13*l**2 - l + 4. Calculate the remainder when r(2) is divided by 20.
14
Let x(b) = b**3 - 5*b**2 - 6*b + 5. Let z be x(6). Suppose -z*c - 3*l + 4 = -35, 0 = c - l - 3. What is the remainder when 64/c + 2/(-3) is divided by 4?
2
Let b(z) = z**2 - z - 6. Suppose q - 6*q = 40. Let y = q - -13. What is the remainder when 39 is divided by b(y)?
11
Suppose -2 = -5*v - 7. Let q be -40 + -4 + (3 - 7). What is the remainder when (-5 - q)/(v/(-1)) is divided by 15?
13
Let s(c) = 15*c**2 - c + 3. Let a(q) = 14*q**2 - q + 2. Let m(l) = 4*a(l) - 3*s(l). What is the remainder when m(-1) is divided by 4?
3
What is the remainder when 102 is divided by 4 + -7*(480/(-28))/3?
14
Suppose -98 = -5*b + 3*n - n, 0 = -5*b + 5*n + 95. What is the remainder when -5 + (-13)/((-39)/243) is divided by b?
16
What is the remainder when 418 is divided by -6 + 24 - (1 + 2)?
13
Let v(r) = r**2 - 3*r + 9. Let k be v(-4). Let m = 64 - k. Calculate the remainder when 78 is divided by m.
24
Suppose -5*g = -4*m - 3 + 47, -2*m - 2*g + 4 = 0. Let o = 87 - 15. Suppose -m*l = 2*l - o. Calculate the remainder when l is divided by 5.
4
Let r(t) be the first derivative of 9*t**3 + t**2 - 2*t + 11. What is the remainder when r(1) is divided by 10?
7
Suppose 8 = -0*o + 4*o, -5*y - 2*o + 109 = 0. Suppose 32 = n + y. Calculate the remainder when 120 is divided by n.
10
Suppose -25 = -5*m, 2*w + m = -2*w + 69. Let k(r) = -9*r + 4. Let a(f) = -f**2 - f + 3. Let d be a(-3). Calculate the remainder when k(d) is divided by w.
15
Suppose 2*m = -2*y - 109 + 301, 4*m + 424 = 4*y. What is the remainder when y is divided by 23?
9
Suppose 3*h + 2*h - 120 = 0. Let r = 125 + -117. Calculate the remainder when h is divided by r.
0
What is the remainder when (-2473)/(-15) - 12/(-90)*1 is divided by 21?
18
Suppose 5*a = 4*u + 120, 15 = 3*u - 0*u. Let s = -4 - -19. What is the remainder when a is divided by s?
13
Let s(a) = -15*a + 335. What is the remainder when s(20) is divided by 3?
2
Suppose 66 = 4*q - 7*h + 9*h, -3*h = -5*q + 55. Calculate the remainder when 64 is divided by q.
8
Let u(k) be the second derivative of k**3/2 - 2*k**2 - 2*k. What is the remainder when u(3) is divided by 3?
2
Suppose 2*x = 5*x - 33. Calculate the remainder when 107 is divided by x.
8
Let g = -528 + 530. Suppose -4*p - 2*h = -18, p + h + 9 = -4*h. What is the remainder when p is divided by g?
0
Calculate the remainder when -6*4/6 - (-12 + -45) is divided by 36.
17
Let c(x) = -19*x - 8. Calculate the remainder when 148 is divided by c(-2).
28
Suppose 3*p = 6*p - 297. What is the remainder when p is divided by 57?
42
Suppose 4*n + 4 = -0*p - 3*p, -3*n = 3*p + 6. Suppose 4*s + 8 = 0, 5*m - n*s = m + 112. What is the remainder when m is divided by 7?
6
Calculate the remainder when 185 is divided by (-4 - -3)*-33 + (-20)/10.
30
Suppose -2*t - 6 + 12 = 0, -2*t = -4*v + 74. What is the remainder when 257 is divided by v?
17
Let v be (-645)/(-20) + 2/(-8). Suppose -n - 5*g = -v, -3*n + 2*g + 36 = -3*g. Suppose 2*w + 240 = 7*w. What is the remainder when w is divided by n?
14
Suppose -44*u + 263 = -1277. What is the remainder when 241 is divided by u?
31
Let x = 18 + 28. Suppose 2*d + 5*v = x, 0*v - 69 = -5*d - v. Calculate the remainder when 64 is divided by d.
12
Suppose 0*s + 12 = 3*m + 4*s, 0 = -4*m + s + 16. Calculate the remainder when (-27)/(-4) - (-1)/m is divided by 4.
3
Let v = -