. Suppose -f - q = f. Calculate the remainder when 430/6 + f/33 is divided by 18.
17
Let a = -233 + 107. Calculate the remainder when a/(-3) + -1 + -2 is divided by 10.
9
Let p(j) = -j**3 - 5*j**2 + 6*j + 5. Let h be p(-8). Let y = h - 142. Let b = -18 - -43. Calculate the remainder when b is divided by y.
4
Let s = 1221 + -1218. Suppose 2*r - 35 = -3*r. Suppose -r*h = -s*h - 60. What is the remainder when h is divided by 8?
7
Calculate the remainder when 222 is divided by -129*(-2)/6 + 4.
34
Suppose -2*x - 15 = -5*x. Suppose 4*g + 2 = x*g. Suppose 0 = -2*y - 2*d + 20, g*y - d - 20 = -3*y. Calculate the remainder when 23 is divided by y.
3
Suppose -9*u = 4*a - 4*u - 50, 3*u + 51 = 3*a. What is the remainder when 133 is divided by a?
13
Suppose 692 = -7*i + 1896. What is the remainder when i is divided by 63?
46
Suppose 0*o - 8*o + 56 = 0. Let c = -4 + 9. Suppose 0 = o*k - c*k - 10. What is the remainder when 9 is divided by k?
4
Calculate the remainder when ((-2)/(-2) - 7)/(6/(-452)) is divided by 91.
88
Suppose -247 = -0*l - 19*l. What is the remainder when 217 is divided by l?
9
Let f(p) = -p + 17. Let n be f(6). Let b = -9 + n. What is the remainder when b is divided by 2?
0
Let g(y) be the first derivative of 11*y**2 - 2*y - 12. Calculate the remainder when g(3) is divided by 33.
31
Calculate the remainder when 226 is divided by (-4521)/(-99) - (-2)/6.
42
Suppose 880 = -15*g + 37*g. What is the remainder when g is divided by 37?
3
Let y(j) = j**2 - 6*j - 4. Let g be y(8). Suppose 0 = -2*t + t + g. Let w(l) = 4*l**2 + 8*l - 7. Calculate the remainder when t is divided by w(1).
2
Let p = 8 + 0. Let r be 22/p + (-5)/(-20). Suppose -5*m + 27 = -r*b, -5*b - 7 = 2*m + 7. Calculate the remainder when m is divided by 2.
1
Suppose 2*s - 7*s = -15, 5*w + 2*s = 46. Let z(y) = -6*y - 1. Let n(c) = 3*c. Let b(l) = -5*n(l) - 3*z(l). What is the remainder when b(6) is divided by w?
5
Let n(i) = 17*i + 12*i - 5 - 5*i. What is the remainder when 36 is divided by n(1)?
17
Suppose m - 2*m = 56. Calculate the remainder when (-24)/m - 431/(-7) is divided by (13 + -1)*4/3.
14
Suppose 3*s + 9 - 41 = -4*m, 3*m - 15 = 0. Let b = -2 + s. Suppose b*j + 0*p - 21 = -3*p, 2*j + 5*p - 15 = 0. Calculate the remainder when 27 is divided by j.
12
Suppose 5*r - 125 = 5*z, 8 = 4*r - 0. Let x = -2 - z. What is the remainder when x is divided by (-30)/(-4)*48/30?
9
Let d = 88 - 54. Calculate the remainder when 297 is divided by d.
25
Suppose 2*g = 5*t + 87, -2*g + 37*t - 38*t = -57. What is the remainder when g is divided by 8?
7
Let a(i) = -i**2 - 2*i + 29. Let r = 13 - 16. What is the remainder when a(0) is divided by 4 - -10 - (r - -1)?
13
Suppose -2*a = -5*g + 8*g - 92, a = 3*g + 37. Calculate the remainder when 125 + 0 + -1 - -1 is divided by a.
39
What is the remainder when ((-87)/(-6))/(3/6) is divided by 11 - -1 - (-4 - -5)?
7
Suppose 0 = -3*h + 5*h. Suppose -5*o = 5*n - 60, 4*o + o - 2*n - 60 = h. Calculate the remainder when o is divided by 7.
5
Suppose 615*h = 593*h + 198. What is the remainder when 186 is divided by h?
6
What is the remainder when 200 is divided by 102*((-340)/(-30) - 11)?
30
Suppose 5*s - s = -3*m + 77, 4*s - m = 81. What is the remainder when 158 is divided by s?
18
What is the remainder when (-2)/3*21675/(-50) is divided by 79?
52
Suppose 5*n = 2*d + 222, n - 3*d - 2*d = 26. What is the remainder when n is divided by 16?
14
Let q(v) = v**2 - 3*v + 8. What is the remainder when q(7) is divided by 7?
1
Let a = 70 - 63. Suppose a*v - 4*v = 12. What is the remainder when 19 is divided by v?
3
Let d(r) = -9 + r**2 - 6 - 6*r + 0*r. What is the remainder when d(-11) is divided by 29?
27
Suppose 12 - 4 = -c. Let r(z) = z**2 + z - 3. Calculate the remainder when r(c) is divided by -1 + 6*10/6.
8
Let h(l) = 9*l**2 + 7*l - 5. Calculate the remainder when h(-5) is divided by 61.
2
Suppose -3*j + 48 = -3. Suppose 0 = -3*z + j + 16. Suppose n - 8*g = -4*g + 2, -3*g = -2*n + 9. What is the remainder when z is divided by n?
5
Let v(l) = 7*l - 7. Let d = -6 - -12. Calculate the remainder when 69 is divided by v(d).
34
Let j(i) = 3*i**2 - 9*i + 1. Let x be j(6). Suppose -3*b - x = -8*b. What is the remainder when 18 is divided by b?
7
Suppose 5*f - 146 = 7*f. Let b = f + 109. Calculate the remainder when b is divided by 13.
10
Let i(t) = t**3 + 4*t**2 - 7*t - 2. Let d be i(-5). Let u be -12 + 12 + 2*2. Suppose -48 = -d*n + u*n. What is the remainder when 47 is divided by n?
11
Let t = -30 - -38. Let a = 25 + 5. Calculate the remainder when a is divided by t.
6
Let b be (-3)/(3*(-1 + 4/5)). Suppose -5*s + 0*t = -b*t - 40, 0 = -2*t + 2. Calculate the remainder when -4*3/((-6)/13) is divided by s.
8
Suppose -3*n + 5*m = -204, 7*m + 201 = 3*n + 3*m. What is the remainder when 295 is divided by n?
43
Let u(s) = -s**3 + 14*s**2 + 15*s + 4. Let c be u(15). Let o = -8 - -17. What is the remainder when o is divided by 10/(2 - (4 - c))?
4
Let k be 7 - 5/(-1) - 1. Suppose -h - k = -38. What is the remainder when h is divided by 8?
3
Let w = -30 + 64. Suppose 2*d - 4*d + 2 = 0. Calculate the remainder when w is divided by ((d - 0) + 1)*(-2 + 11).
16
Let n(k) = k**3 + 2*k**2 - k + 1. Let s be n(-2). Suppose 3*o + j - 61 = -j, s*j + 53 = 4*o. Calculate the remainder when 31 is divided by o.
14
Suppose -20*g + 138 + 42 = 0. What is the remainder when 19 is divided by g?
1
Let k(c) = -15*c. Let u = -8793 + 8882. Calculate the remainder when u is divided by k(-2).
29
Suppose 4*v - 3*l = -4*l + 49, 0 = 4*v - l - 47. What is the remainder when 38 is divided by v?
2
Suppose 0 = -2*n - 5*f - 0*f + 16, 0 = 3*n - f + 10. What is the remainder when 106 is divided by (1 - n/2) + 52?
52
Let g be 820/14 + 102/42 + -3. Calculate the remainder when (-1)/(-2)*g - (0 - -2) is divided by 15.
12
Let d = -20 + 4. Let m = -6 - d. Calculate the remainder when m is divided by 4.
2
Calculate the remainder when 237 is divided by ((-126)/27)/(3/(-9)).
13
Let v(x) = 4*x**2 - 12*x - 20. Calculate the remainder when v(-3) is divided by -4*((-21)/12 + -1).
8
Suppose -2*p - 41 = -63. Suppose 3*g - 36 = 93. What is the remainder when g is divided by p?
10
Let l = 34 - 26. Suppose -105 = -4*a - 5*t, 5*t - 15 = -a - 0*t. Calculate the remainder when a is divided by l.
6
Let m(b) = 2*b + 6. Suppose 0 = t + 3*q + 7, t = -3*t + 3*q + 47. Let j be m(t). Let z = 9 + j. Calculate the remainder when z is divided by 11.
9
Let d = -17 + 27. Let i(l) = l**3 - 10*l**2 + 9*l + 8. Let p be i(9). Suppose -140 = 3*u - p*u. Calculate the remainder when u is divided by d.
8
Suppose 57*z - 62*z + 560 = 0. Calculate the remainder when 1791 is divided by z.
111
Let h = 531 + -464. What is the remainder when h is divided by 11?
1
Calculate the remainder when (-5)/60 + (-3445)/(-156) is divided by 4.
2
Suppose -5*j = -3*j - 46. Suppose -j = -3*a + 2*a. Calculate the remainder when 62 is divided by a.
16
Let x(z) = z**3 - 31*z**2 + 29*z + 37. What is the remainder when 153 is divided by x(30)?
6
Let l = -12 - -8. Let r be 1/(l/(-3 + 55)). Let s = r - -27. What is the remainder when 55 is divided by s?
13
Let p(b) = b + 12. Let l be p(-9). Suppose -l*h + 8*h + 105 = 0. Let j = 50 + h. Calculate the remainder when j is divided by 10.
9
Suppose -o + 179 = s, -178 = -2*s - 4*o + 190. Calculate the remainder when s is divided by 32.
14
Let k = 134 + -91. Suppose 17 = 5*x - k. Calculate the remainder when 8 is divided by 3/((-36)/(-3))*x.
2
Suppose -2 = -10*p + 11*p, 3*c = -4*p + 91. What is the remainder when 43 is divided by c?
10
Let f(t) = 4*t**2 - 17*t - 3. Let i be f(-3). Suppose -6 = -5*u + i. What is the remainder when 52 is divided by u?
16
Let s(a) = -2*a + 8. Let y(m) = m**2 - 7*m + 3. Let i = -1 + 6. Let p be y(i). Calculate the remainder when 41 is divided by s(p).
19
What is the remainder when (-2 - -3)/((-252)/(-248) + -1) is divided by 22?
18
Calculate the remainder when (-4)/46 - 275184/(-2254) is divided by 40.
2
Suppose -52*k - 660 = -72*k. What is the remainder when k is divided by 24?
9
Suppose 0 = -15*s - 4*s + 665. Calculate the remainder when 67 is divided by s.
32
Suppose 4*u = -4*n + 100, 5*u + 0*n - 149 = n. What is the remainder when 53 is divided by u?
24
Suppose 0 = -x + 3*o - 4, 5*x - 4*o - 43 = -8. Let