
Suppose 3 = -2*z + 5*z. Suppose 4*y = g - 2 + 14, -5*g + 65 = 5*y. Suppose 0 = 4*o + 4*o - g. What is the remainder when z is divided by o?
0
Let y = 47 - 45. Calculate the remainder when y/(-6) + (-428)/(-6) is divided by 24.
23
Suppose b + 11*b + 24 = 0. What is the remainder when 8 + 4 + (b - -7) is divided by 4?
1
Let h = 4 - -4. Suppose -2*u - 4*c = -24, -2*u + c + 32 = -3*c. Calculate the remainder when u is divided by h.
6
Suppose a + 4*n - 73 = -n, -4*a = -n - 271. Suppose 0 = 12*h - 688 - a. Calculate the remainder when h is divided by 33.
30
Suppose 3*n = -7*n - 970. Let q = n - -150. What is the remainder when q is divided by 29?
24
Let o = 27 - 5. What is the remainder when 101 is divided by o?
13
Let a = -50 + 47. What is the remainder when 25 is divided by 8 - (-2)/(a + 1)?
4
Let f(g) = -g**2 - 30*g - 218. Suppose 0*z - 27 = -3*z. What is the remainder when z is divided by f(-14)?
3
Suppose 6*r - 2*r + 19 = -3*o, -2 = 2*o. What is the remainder when 8 is divided by (-13)/r + -1 + (-11)/44?
0
Suppose l = -4*z - 3*l, -28 = -5*z + 2*l. Calculate the remainder when 115 is divided by z.
3
Let w = -45 - -55. Suppose -w = -5*v, 4*s + 17*v - 36 = 15*v. Calculate the remainder when s is divided by 5.
3
Suppose -4*w + 16 + 0 = 0. Suppose -2*i - x = -7, -4*i + 2*i - 4*x + 16 = 0. What is the remainder when w is divided by i?
0
Suppose 6357 = 25*c + 14*c. What is the remainder when c is divided by 34?
27
Suppose -2*s - 39 = -4*o + 5*o, -2*s - 54 = 4*o. Let g = 21 + s. What is the remainder when 4 is divided by g?
0
Suppose -2*w = -d + 2*d - 313, -470 = -3*w - d. Suppose 56 - 96 = -q. Calculate the remainder when w is divided by q.
37
Let c = -35 - -93. Suppose 4*n - 72 = -2*s, -4*n - 7*s + 3*s + 64 = 0. Calculate the remainder when c is divided by n.
18
Let q = -82 - -84. Suppose 0*a - 2*a + 273 = 5*w, q*w - 3*a - 94 = 0. Calculate the remainder when w is divided by 7.
4
Let k(g) = -3*g**2 + g + 12. Let i(f) = -f**2 + f - 1. Let d(p) = -4*i(p) + k(p). Calculate the remainder when d(4) is divided by ((-28)/(-6))/(4/6).
6
Suppose -8711 = 58*a - 89*a. What is the remainder when a is divided by 26?
21
Suppose -991*w - 7 = -992*w. Calculate the remainder when 17 is divided by w.
3
Suppose -8*r + 9 = -15. Let h = -6 + 12. Suppose 6*l - h = 5*l. What is the remainder when l is divided by r?
0
Suppose -2*u + 3*h + 1 = 0, 0 = 5*h - 10*h + 25. Suppose -4 - 124 = -u*t. What is the remainder when 30 is divided by t?
14
Suppose -3 = -3*c - 54. Let i = c - -35. What is the remainder when 34 is divided by i?
16
Let t = -38 + 72. Let j = t - 19. Calculate the remainder when 42 is divided by j.
12
Let v(l) = 3*l**3 + 2*l. Suppose 88 + 2 = 3*c. Suppose 27 = 3*s + j, 0*j - c = -3*s - 2*j. What is the remainder when v(2) is divided by s?
4
Let j(v) = v**3 - 4*v**2 - 2*v + 41. Let r(d) = 8*d**2 + d + 1. What is the remainder when r(3) is divided by j(3)?
24
Let y(w) = -14*w - 10. Calculate the remainder when y(-1) is divided by 2.
0
Let c(a) = a**3 + 5*a**2 - 9*a - 8. Let z be c(-6). What is the remainder when 4 is divided by 50/z*(-6)/(-10)?
1
Suppose 140 = 5*s - 5*g, 3*s + 5*g - 23 = 21. Suppose 3*b + 4*n - 539 = 0, -3*b - 3*n = 2*b - 902. Calculate the remainder when b is divided by s.
20
Let a(i) = i**2 - 19*i - 28. Suppose q = 3, -4*o + 28 = q - 59. Calculate the remainder when 54 is divided by a(o).
12
Suppose 0 = 29*l - 8*l - 1869. Calculate the remainder when l is divided by 13.
11
Suppose 6 = 5*o - 2*v, 0 = 6*o - 4*o + 4*v - 12. Suppose o*m - 37 = 9. What is the remainder when 89 is divided by m?
20
Let p(s) = -s**3 - 12*s**2 + 11*s + 3. Let b be p(-13). Let f = b + -15. What is the remainder when 52 is divided by f?
10
Let f be 1406/10 - (-51)/(-85). Suppose -8*r - 2*r + f = 0. What is the remainder when 25 is divided by r?
11
Let d(l) = -l**3 - 4*l**2 - 4*l - 3. Let h be d(-3). Suppose h = 2*y + 2*y. Suppose -3*b - b + 96 = y. Calculate the remainder when b is divided by 13.
11
Suppose -596*l + 608*l = 4848. What is the remainder when l is divided by 9?
8
Let o(v) = -2*v - 30. Let z = 15 - 30. Let h be o(z). Suppose h = -2*w + 10 + 6. What is the remainder when 21 is divided by w?
5
Suppose 7*t - 3*t = 132. What is the remainder when t is divided by ((-1)/4)/(3/(-204))?
16
Let a = -15 + 30. Let t(b) = 9*b**2 + 18*b + 13. What is the remainder when t(-4) is divided by a?
10
Let m(x) = -x**3 + 6*x**2 + 3*x - 6. Let h(k) = -2*k - 4. Let s(f) = -2*f - 1. Let g be s(2). Let j be h(g). What is the remainder when 21 is divided by m(j)?
9
Let a = -1184 - -1189. Suppose y - 6*y + 3*j + 1 = 0, y + 3*j - 11 = 0. What is the remainder when a is divided by y?
1
Let j be (10/6)/(2/(-12)). Let t be (26/(-2))/((-5)/j). Let h = t - -28. Calculate the remainder when h is divided by 2.
0
Calculate the remainder when 16/(-8)*(-154 + 3) is divided by 76.
74
Suppose 5*a - 24*v - 331 = -28*v, -4*v - 71 = -a. What is the remainder when a is divided by 4?
3
Suppose -6*b = 4*c - 4*b - 1396, 714 = 2*c + 5*b. What is the remainder when c is divided by 23?
2
Let p(m) = -15*m + 1318. Suppose 0 = -3*x - 2 - 4. Let z(i) = 22*i**2 + 4*i + 2. Calculate the remainder when z(x) is divided by p(86).
26
Let k(c) = -c**2 - 15*c + 9. What is the remainder when 48 is divided by k(-12)?
3
Suppose 5 = -m + 14. Suppose 56 = m*n - 34. Suppose 0 = 2*o - 4*o - 4*f + 48, -5*o = 2*f - 96. What is the remainder when o is divided by n?
8
Let h = 75 + -60. What is the remainder when 1530/21 - (-2)/14 is divided by h?
13
Suppose -4*a + 240 = -736. Calculate the remainder when a is divided by 2.
0
Let l(g) = -11*g - 40. Let o be l(-8). Suppose -o = 2*r - 178. What is the remainder when r is divided by 23?
19
Suppose 4*l - 5*l = -5*w + 114, -4*w - 5*l = -97. What is the remainder when 105 is divided by w?
13
Suppose -64*a = -1317 - 1371. Calculate the remainder when 122 is divided by a.
38
Suppose -4*s - l = -110, 43 = -2*s + 3*l + 105. Calculate the remainder when 54 is divided by s.
26
Let g(x) = -x - 1. Suppose 4*t + 0*t - 6 = c, 21 = 5*c - 3*t. Let f be g(c). Let d(m) = -2*m - 4. Calculate the remainder when d(f) is divided by 3.
1
Suppose 150 = 5*l - 4*n, 4*l - 6 = -3*n + 145. What is the remainder when 406 is divided by l?
32
Suppose -8*v + 121 = 3*v. Calculate the remainder when 13 is divided by v.
2
Let p(d) = -d**3 + d**2 + 19*d + 19. What is the remainder when (72/(-15))/(3/(-30)) is divided by p(5)?
6
Suppose -a = 2*l - 1015, -5*a + 4*l = 5*l - 5084. What is the remainder when a is divided by 60?
57
Calculate the remainder when (38 + 55)/((-3)/(-2)) is divided by 18.
8
Let l be (2 - -1)/3*4. Suppose 0 = l*t - 7 - 17. Calculate the remainder when 17 is divided by t.
5
Let n(k) = -4*k - 5. Let i(c) = c**2 - c - 1. Suppose -9*r + 4*r = -30. What is the remainder when i(r) is divided by n(-5)?
14
Let k be -3*(-9)/((-54)/(-4)). Suppose 6*s + 256 = k*s. Let x = s + 100. What is the remainder when x is divided by 19?
17
Suppose -5*v + 3 = -12. Let a(s) = -s**3 + 3*s**2 + 3*s - 3. Calculate the remainder when 26 is divided by a(v).
2
Suppose 0 = 2*x + 3*x - 45. Let p = 4 - -15. Let f = p - x. Calculate the remainder when f is divided by 3.
1
Suppose 5*t + 2*h - 198 = 0, 0*t = t - 5*h - 18. What is the remainder when t is divided by 3*((-80)/36)/(2/(-3))?
8
Suppose -1017 = 49*l - 58*l. Calculate the remainder when l is divided by 88.
25
Suppose 5*l = 4*l - c + 12, 4*c + 96 = 5*l. Suppose 4*f + 0 - l = 0. Let p = 11 - 10. What is the remainder when f is divided by p?
0
Let k = -77 + 108. Let r = -21 + k. Suppose z - r = -z. Calculate the remainder when 28 is divided by z.
3
Let r = 23 - 32. Let h = -112 + 117. What is the remainder when (r/(-2))/((-3)/(-12)) is divided by h?
3
Let p(q) = 2*q + 55. Calculate the remainder when 133 is divided by p(-19).
14
Suppose -7 - 20 = -3*l. Let c(k) = -k**3 - k**2 + 2*k + 5. Suppose 0 = -3*f - 4 - 5. Calculate the remainder when c(f) is divided by l.
8
Let x(h) = h**3 + 10*h**2 + 9*h + 8. Let y = -13 + 4. Calculate the remainder when 37 is divided by x(y).
5
Let a = -1265 + 1304. What is the remainder when 214 is divided by a?
19
Let j = 58 - 48. Suppose 0 = 2*k - 2*i - 52, k - 31 - j = 4*i. What is the remainder when (2*-1)/(6/(-249)) is divided by k?
20
Let g