 Calculate the remainder when 20 is divided by r.
8
Let f = 47 - 45. Calculate the remainder when f is divided by 2.
0
Suppose 0*x - 3*x + 4*j = -109, 2*x = j + 71. Let c = -18 + x. What is the remainder when c is divided by 9?
8
Let p(o) = -o - 3. Calculate the remainder when p(-9) is divided by 4.
2
Suppose 0 = -2*s + 2*b + 66, -78 = -4*s + s - 4*b. Let d = s - 10. Suppose -4*a + 6 = -38. Calculate the remainder when d is divided by a.
9
Suppose -s + c - 50 = 3*s, 2*s + 20 = 3*c. Let o = 41 + s. Calculate the remainder when 82 is divided by o.
26
Suppose 6*a = 3*a + 2*b + 17, -2*b + 10 = 0. Let z = 41 - a. Calculate the remainder when z is divided by 11.
10
Suppose 0 = -2*l - 3*j + 5, j + 12 = 2*l - 3*j. Let t(w) = -w**2 - 4*w. Suppose 0 = -16*n + 12*n - 12. What is the remainder when l is divided by t(n)?
1
What is the remainder when 12 is divided by 2/(-4) - 3*(-77)/42?
2
Let g(x) = -36*x**3 + 1. Let a be g(-1). Suppose -3*i + a = -80. Let m = 66 + -46. Calculate the remainder when i is divided by m.
19
Let h = 48 + -39. Let d(g) = -g**2 + 5*g - 3. Calculate the remainder when h is divided by d(2).
0
Let x(s) = 54*s**3 + 2*s**2 - 2*s + 1. What is the remainder when x(1) is divided by 28?
27
Let h(m) = -m - 3. Let o be h(3). Let d(s) = s**3 + 14*s - 9*s - s**2 + 8*s**2. What is the remainder when 10 is divided by d(o)?
4
Suppose 3 = -4*p - 1. What is the remainder when (-3 - -2)*(p - 30) is divided by 11?
9
Suppose -7 = v - 29. Let r be (-1)/(-1 - 0) + -1. What is the remainder when v is divided by 10 + -3 + (1 - r)?
6
Let r = 16 - 14. Suppose -t - 7 = -r*t. Calculate the remainder when 34 is divided by t.
6
Suppose 4*l + 10 = 5*l. Suppose 0 = q + 4*b - 1, -2*q + 5*b = -7*q - 10. What is the remainder when l is divided by (-6)/q + (3 - 1)?
2
What is the remainder when (-334)/(-10) + 2/(-5) is divided by (-75)/(-5) + -4 + -2?
6
Suppose -r + 45 = s, s + 4*s - 2*r - 260 = 0. Calculate the remainder when s is divided by 26.
24
Suppose 9*z - 11 = 4*o + 4*z, -4*o - z + 7 = 0. Let d be 2 + o - (-1 + 0). Suppose 0 = -d*t - 2 + 10. Calculate the remainder when 5 is divided by t.
1
Let g(w) = w**2 + w + 6. Let l be g(0). Let d = 0 + l. Calculate the remainder when d is divided by 3.
0
Let q(z) = 4*z + 1. Let l be q(-3). Let k = -8 - l. Suppose -k*m + m = -6. Calculate the remainder when 5 is divided by m.
2
Let s = 25 - -19. Let d(q) = -17*q - 331. Calculate the remainder when s is divided by d(-20).
8
Let d = -2 - 1. Calculate the remainder when (-29)/(-4) - d/4 is divided by 6 - (1 - 0/(-1)).
3
Let m be (-21)/(-12) - (-9)/(-12). Let c(t) = 5*t**3 - t**2 + 2*t - 1. Calculate the remainder when 8 is divided by c(m).
3
Let v be (2/(-4))/((-1)/6). Let m(w) = 10*w + 16*w - 21*w + 1. Calculate the remainder when 47 is divided by m(v).
15
Let l(h) = 3*h + 4. Suppose 5*r - 8 = -u + 27, 2*u = -5*r + 80. Let t = 75 - u. Calculate the remainder when t is divided by l(4).
14
What is the remainder when (-7)/4 + 2 + 1468/16 is divided by 24?
20
Let j = 100 + -92. Calculate the remainder when 55 is divided by j.
7
Suppose 4*j + 15 = -2*z + 165, 0 = j + 4*z - 55. Let g be (-1)/(-2) - 35/(-2). Suppose 3*q - 2*q - g = 0. What is the remainder when j is divided by q?
17
Let q(n) = n**3 - 5*n**2 + 11*n - 7. Calculate the remainder when q(5) is divided by 10.
8
Let w = -6 - -13. Suppose -4*t = 2*j - 7*j - 32, -2*j = -4*t + 44. What is the remainder when t is divided by w?
6
Let k(t) = -15*t**3 + t**2 + 2. Let m be k(2). Let w = -71 - m. Let c = 81 - w. What is the remainder when c is divided by 13?
12
Suppose 6*a - 11 = 49. What is the remainder when 58 is divided by a?
8
Let o(v) = 2*v**2 + 11*v + 6. Let y be o(-5). Calculate the remainder when y/(-4) - 1197/(-36) is divided by 9.
6
Suppose 8 = 2*t - 0. Suppose 0 = -v + 6 + t. Let u = 9 - 5. What is the remainder when v is divided by u?
2
Let y(j) = -5*j**3 - j**2 - j - 1. What is the remainder when 6 is divided by y(-1)?
2
Suppose -23*c = -26*c + 60. What is the remainder when 55 is divided by c?
15
Let a be 32/(-18) - 12/54. Let x be (-284)/10 - 2/(-5). Calculate the remainder when a*(-2)/4 - x is divided by 10.
9
Let g(f) = 1 - f + 5*f**3 + 2*f**2 + f**2 + 2*f**3 - 3*f**3. What is the remainder when g(2) is divided by (-2)/(-2)*(-2 + 17)?
13
Let w(m) = m**3 + 27*m**2 + 50*m + 12. Let j(p) = p**2 + 3*p - 7. What is the remainder when j(5) is divided by w(-25)?
9
Let o(k) = k**2 - 5*k + 5. Calculate the remainder when o(8) is divided by (-60)/(-9)*(-6)/(-4).
9
Let v = -10 + 19. Let a(m) = m**3 + 6*m + 5. Let g be a(-2). Let b = g - -40. What is the remainder when b is divided by v?
7
Suppose -9*v + 17 = -4*v + 3*g, -3*v - 3*g + 15 = 0. Suppose -16 = -2*u + 5*q, 5*q + 1 = -6*u + 3*u. What is the remainder when u is divided by v?
0
Suppose -2*b - 10 = -5*b - 4*n, 1 = n. Suppose -b*g = g + 18. What is the remainder when 11 is divided by -4*(0 + 9/g)?
5
Suppose 0 = -3*r - 0*u + 4*u + 15, 5*r - 3*u = 25. Let z be 12/(-54) - (-4)/18. Calculate the remainder when 2*6 - z/2 is divided by r.
2
Let v be -1 - (-3 - (0 - 1)). Suppose 2*y - v = 3. What is the remainder when 7 is divided by y?
1
Let t(p) = -p**3 - p**2 - p - 2. Let a be (13 - 12)/(1/(-3)). Calculate the remainder when t(a) is divided by 10.
9
Let n = 34 + -30. Let f = 13 + -9. Suppose 5*l - 54 = -h - 1, -3*l = f*h - 25. Calculate the remainder when l is divided by n.
3
Let n = -169 + 258. What is the remainder when n is divided by 23?
20
Let w = 58 - 23. Suppose 0 = 2*f + f + 4*v - w, f - 2*v + 5 = 0. Suppose 4*s = -16*s + 80. What is the remainder when f is divided by s?
1
Suppose -5*u + 4*l - 47 = -0*l, 2*u - 2*l + 18 = 0. Let z = 19 + u. What is the remainder when z is divided by 5?
3
Let z = -41 + 98. Suppose 3*k = -4*s + 28, -28 = -5*k + s + z. What is the remainder when -2 + 1*96/3 is divided by k?
14
Let t(j) = j**3 + 5*j**2 - j + 5. Let x(l) = l**2 + 6*l - 3. Calculate the remainder when x(-10) is divided by t(-5).
7
What is the remainder when 4*(330/24 - 1/(-2)) is divided by 30?
27
Let w(v) = -3*v - 16. Calculate the remainder when 43 is divided by w(-9).
10
Let j = -6 - -23. Calculate the remainder when 65 is divided by j.
14
Let l = 254 + -246. Let a(f) = 3 - 7 - f + 3. Calculate the remainder when l is divided by a(-6).
3
Let p(j) = -j**2 - 8*j + 2. Let q be p(-6). Let z(f) = -2*f - 3. Calculate the remainder when (-2 + -2)/(-1)*q is divided by z(-11).
18
Let z(g) = 2*g**2 - 4*g + 4. Let l be z(8). Suppose -2*k - 138 + 19 = -5*p, 0 = -4*p + 4*k + l. What is the remainder when p is divided by 12?
11
What is the remainder when (-20)/(-25)*(-185)/(-2) is divided by 19?
17
Let t be -11 - (-2 + 0/(-2)). Let n = t + 11. Calculate the remainder when 7 is divided by n.
1
Suppose 5*j = 2*j - 2*p + 45, j - 15 = -p. Suppose -5*r - m = -5*m - 45, 0 = -2*r + m + j. Suppose 6 - 14 = -4*g. What is the remainder when r is divided by g?
1
Suppose 16 = 4*l - 56. Suppose -5*b + 13 = -37. What is the remainder when l is divided by b?
8
What is the remainder when ((-3)/(-5))/(3/435) is divided by 22?
21
Suppose k - 2*y - 8 = 0, -56 = -5*k - 0*y + 2*y. Calculate the remainder when 59 is divided by k.
11
Suppose 4*y - 2 - 10 = 0. Suppose 5 = -5*f, -2*a + 42 = -y*f - 7. What is the remainder when 68 is divided by a?
22
Let j = 3 - -1. What is the remainder when 4 is divided by j?
0
Suppose 7*d + d - 576 = 0. Calculate the remainder when d is divided by 25.
22
Suppose 3*c + l = 38, 4*c - 2*c = 2*l + 36. Calculate the remainder when 41 is divided by c.
13
Let d be ((-14)/(-42))/(2/24). Suppose 0*l + 5*f = -d*l + 36, -4*f - 27 = -3*l. What is the remainder when (0 + 1)/((-2)/(-34)) is divided by l?
8
Let g = -2 - -4. Suppose 74 = 4*d + g*w, 3*w + w = -4*d + 72. What is the remainder when 36 is divided by d?
17
Suppose 6*z - 35 = -z. Suppose -4*o + 16 + 60 = 0. Calculate the remainder when o is divided by z.
4
Suppose -168 = -4*x + u + 3*u, -3*u - 36 = -x. Calculate the remainder when 222 is divided by x.
42
Let l(x) = -4*x - 6. Let f(o) = 12*o + 18. Let t(y) = 6*f(y) + 17*l(y). Let a be t(7). Suppose -50 = -2*d + a. What is the remainder when d is divided by 11?
9
Suppose -4*d = 12, 4*t - 23 = -d - 2*d. Let u = -1 + t. Calculate the remainder when 25 is divided by u.
4
Let