ivided by 12.
10
Let m = -337 + 363. Calculate the remainder when 205 is divided by m.
23
Suppose u + 10 = 5*f - 1, 0 = -5*f + 15. Suppose -8 = -s - 3*i, 4*s - 6 = -i + 81. What is the remainder when s is divided by u/16 - (-93)/12?
7
Let i(c) = c**3 + 11*c**2 + 8*c + 11. Suppose 0 = 3*g - 0*g. Suppose 16*j - 21*j + 130 = g. Calculate the remainder when i(-9) is divided by j.
23
Suppose -4*o = -3*h - 83, o + 5*h - 2*h = 2. Suppose -5*c = -11 - 19. Calculate the remainder when o is divided by c.
5
Suppose 3*s = -3*v + 33, -1 - 6 = -2*v + s. Calculate the remainder when 20 is divided by v.
2
Let q(h) = h**2 + 26*h + 77. Suppose 2*d = 7*d - 10. Suppose -d*p = -p - 3*z - 7, 19 = p + z. What is the remainder when q(-24) is divided by p?
13
Let k(w) = -w**3 + 6*w**2 + 22*w - 19. Calculate the remainder when 83 is divided by k(8).
25
Let x(w) = -42*w + 1. Let y(q) = -q**2 - q + 1. Let j be y(1). What is the remainder when x(j) is divided by 2/8 - (-2088)/96?
21
Suppose 0 = -12*w + 238 + 86. What is the remainder when 78 is divided by w?
24
Suppose h - 1 - 6 = 0. Suppose 0 = x - j - 3, -2*x - 4*j = 2*x - 44. What is the remainder when h is divided by x/((-28)/8) - -5?
1
Let o(d) = d**3 - 6*d**2 + 6*d - 6. Let q be o(6). Let w = q + -28. Suppose 0 = -0*g + w*g - 30. Calculate the remainder when 56 is divided by g.
11
Let i be -1 - (-1 + -2) - 0. Suppose i*b + 6 - 2 = 0. Calculate the remainder when 13 is divided by 3*(-3)/6*b.
1
Let q be 13*(0 + 0 - -2). Suppose -5*t + 42 - 7 = -5*d, q = 4*t - 2*d. Suppose j = 4*a + 7, -t*a + a + 7 = j. Calculate the remainder when 11 is divided by j.
4
Let q(w) = -w**3 + 6*w**2 + 4. Suppose -h - 3 = 3*a + 2*h, 3*h = 2*a - 8. Let l = a - -5. Calculate the remainder when q(l) is divided by 3.
1
Let k = -107 - -110. Let w = 0 + 0. Suppose w = -5*y + y + 44. What is the remainder when y is divided by k?
2
Suppose 0 = -0*y - 5*y - 45. Suppose -3*c + 245 + 148 = 0. Calculate the remainder when c is divided by -11 - y - (-34 + -1).
32
Let z be 1*-123*3/(-9). Let l = z - 22. What is the remainder when 73 is divided by l?
16
Let h(b) = -13*b**3 - 3*b**2 - 3*b - 1. Calculate the remainder when 297 is divided by h(-1).
9
Suppose 64 = -2*j + 88. What is the remainder when 57 is divided by j?
9
Let a(q) = q + 60. What is the remainder when 120 is divided by a(-28)?
24
Suppose -3*u = 1 - 40. Calculate the remainder when 19 is divided by u.
6
Let i = -74 + 49. Let l = 96 + i. What is the remainder when l is divided by 24?
23
Suppose -3*p - 3 = 0, 4*o - 4*p - 53 = 3*o. What is the remainder when 145 is divided by o?
47
Suppose -5*o + 61 = n, -2*o = -0*o - n - 30. Let i(s) = s**3 + 8*s**2 + 5*s + 9. What is the remainder when i(-6) is divided by o?
12
Calculate the remainder when 65 is divided by (10 - 11) + (-1 - -6).
1
Suppose -24*w + 23*w - 2*c + 90 = 0, 0 = -4*w - 2*c + 366. What is the remainder when 329 is divided by w?
53
Let d = -231 + 217. Let a(y) = y**3 + 15*y**2 + 9*y - 28. Let t = 55 + -32. What is the remainder when a(d) is divided by t?
19
Suppose 53*l = -13*l + 1716. What is the remainder when 118 is divided by l?
14
Let d(y) = -y**2 + 26*y - 79. Calculate the remainder when d(12) is divided by 20.
9
Let h(n) = -n**2 + 13*n - 5. Let w = 19 + -7. Let x = 39 + -15. Calculate the remainder when x is divided by h(w).
3
Let t(o) = 91*o - 70. What is the remainder when t(4) is divided by 5?
4
Suppose -5*v = -9*v + 1632. Suppose -v = -17*x + 391. What is the remainder when x is divided by 18?
11
Suppose 0*r - 36 = -3*r. Suppose -r = 4*v, 69 = 3*c + 3*v + 2*v. What is the remainder when 53 is divided by c?
25
Let t(f) be the first derivative of f**3/3 + 4*f**2 + 18*f + 12. Calculate the remainder when t(-6) is divided by (0 + 1)*(2 - 0).
0
Suppose s + 3*s - 108 = 0. Let j(f) = -1 - 5 + 2*f - 1. What is the remainder when s is divided by j(7)?
6
Suppose 624 = 2*p - 10*h + 9*h, -3*p + 2*h + 938 = 0. Calculate the remainder when p is divided by 21.
16
Suppose 9 = -5*m + 8*m. Let w be m/3 + -5 + 27. Let g = 51 - w. Calculate the remainder when 109 is divided by g.
25
Suppose 3*z = 3*d + 390, 4*z - 480 = 5*d + 42. Let i = z - 75. Calculate the remainder when i is divided by 18.
17
Let a(p) = p**2 - 6*p - 8. Let k be a(8). Suppose 3*y + 85 = k*y. Calculate the remainder when (-2)/((-8)/(-66))*-2 is divided by y.
16
Suppose 0*z = 5*w - z - 61, -4*z + 44 = 4*w. What is the remainder when 129 is divided by w?
9
Let f = -29 - -34. Suppose -3*k = -4*j + 131, 2*j + 100 = f*j - 4*k. Calculate the remainder when j is divided by 12.
8
Calculate the remainder when -10*(0 - 236/20) is divided by 7.
6
Suppose 2269*b = 2268*b + 917. What is the remainder when b is divided by 40?
37
Suppose 2*m = 2*d - 24, 0 = -5*d + 3*m - 0*m + 64. Let y = -10 + d. Suppose -y*z = z - 20. What is the remainder when 10 is divided by z?
2
Let r = 22 + -34. What is the remainder when 27 is divided by ((-6)/8)/(24/16)*r?
3
Let y = 36 - 14. Suppose 5*s = -2*p + 30, 3*p - 6*p = s - 19. Let b = 2 + s. What is the remainder when y is divided by b?
4
Suppose 324 = 931*i - 913*i. Let t = 18 + -11. What is the remainder when i is divided by t?
4
Suppose -6*m + 2*m = 0. Let a(o) = -3*o - 2*o + 3 + 3*o + m*o. What is the remainder when 46 is divided by a(-5)?
7
Suppose 0 = 16*y - 244 + 68. What is the remainder when 29 is divided by (y/(33/(-102)))/(-2)?
12
Let i = 274 + -204. What is the remainder when i is divided by 12?
10
Let c(b) = 3*b - 11. Let z be c(6). Suppose 2*u + 925 = z*u. Suppose -5*x + l + u = -4*l, l + 160 = 4*x. What is the remainder when x is divided by 22?
19
Let t(j) be the second derivative of -21*j**5/20 - j**4/6 - 5*j**3/6 - j**2 + 32*j. Calculate the remainder when 83 is divided by t(-1).
17
Let f(r) = -2 + 1 + 5 - 3. Let y(n) = 12*n + 3. Let h(u) = 4*f(u) - y(u). Calculate the remainder when h(-2) is divided by 7.
4
Suppose 2*j - 26 = -6. Suppose n - 39 = 3*i, -1 + 5 = -i. What is the remainder when n is divided by j?
7
Let f be 2/2*(-60 - (-2 + -5)). Let s = f - -56. Calculate the remainder when (-4)/(-10) + (-66)/(-10) is divided by s.
1
Suppose l + 5*w - 46 = -4, 2*l = 4*w + 98. Suppose -12 = 4*b - 5*b. Calculate the remainder when l is divided by b.
11
Let c be ((-72)/(-5))/((-2)/(-45)). Suppose 5*g - c = 86. What is the remainder when g is divided by (-7)/(-7) - (-1 - 16 - -1)?
14
Suppose 0 = 2*w - 6*w. Suppose l = 5*l - 20. Calculate the remainder when (w + -6)/((-8)/12) is divided by l.
4
Let w be (1 + (-3 - -2))/(-2) - -2. Calculate the remainder when -38*(w + 7/(-2)) is divided by 12.
9
Suppose -5*m - 151 = -4*o, -4*o + 60 = -2*m - 82. What is the remainder when o is divided by 7?
6
Let b = 14 - 7. What is the remainder when 39 is divided by 1*(b - (2 - 3))?
7
Let s(o) = -o + 0 + 0 + 4 + 0*o. Let w be s(2). Calculate the remainder when (-219)/(-9) + w/(-6) is divided by 5.
4
Let y(x) = -8*x + 132. Suppose 8*b - 3*b - 185 = 0. Calculate the remainder when b is divided by y(14).
17
Suppose 3*v = -0*h - 4*h + 6, v + 5*h - 2 = 0. Suppose 52 = -v*b + 210. Let c = b + -45. Calculate the remainder when 133 is divided by c.
31
Suppose 8*u - 3*u = 0. Suppose -2*r = -3*l - 3*r - 227, 2*l + r + 152 = u. Calculate the remainder when 38 is divided by (-2)/(-4) + l/(-6).
12
Calculate the remainder when 11*(-16)/(-88) + 831 is divided by 22.
19
Suppose -5*z = -b + 29, 2*z + 22 = -b + 4*b. Suppose 5*d = 5*h + 85, 26*d + h = 25*d + 17. What is the remainder when d is divided by b?
1
What is the remainder when 108 is divided by -27 + 27 + (0 - -42)?
24
Suppose 0*d - 2*d - 554 = -t, -2*d - 570 = 3*t. Let m = 22 + -18. What is the remainder when (-6)/21 - d/21 is divided by m?
1
Let t(x) = -8*x + 5. What is the remainder when 226 is divided by t(-9)?
72
Suppose 0*k = k - 4*i + 3, -2*k + 24 = -2*i. Let p = -6 - -9. Suppose 204 - 9 = p*n. What is the remainder when n is divided by k?
14
Suppose -2*f = -2*j + 6*j - 112, 4*j + 8 = 0. Calculate the remainder when 538 is divided by f.
58
Suppose 0 = 2*q + 9*m - 8*m - 42, -3*m = -2*q + 50. Calculate the remainder when (12/(-8))/(6/(-344)) is divided by q.
20
Suppose -4*x - 2*w + 4 = -8, w = 3*x + 1. Calculate the remainder when -1 + 96/(3 + x) is divided by (-12)/54 - (-119)/9.
10
Suppose -5*f + 288 = -47. What is