m**2 + 3*m + 1. Let x be j(-3). Calculate the remainder when (3 - (21 + x))/(-1) is divided by 5.
4
Let l = 92 + -82. What is the remainder when 38 is divided by l?
8
Suppose 0 = 9*m - 6*m. Suppose m = 2*r - 83 + 1. Calculate the remainder when r is divided by 21.
20
Suppose -4*f + 2*f = -104. What is the remainder when f is divided by 11?
8
Let u = 49 + -26. What is the remainder when u is divided by 12?
11
Suppose 3*m + 28 = -32. Suppose -56 = 10*v - 6*v. Calculate the remainder when v/(2/m*4) is divided by 19.
16
Let m(n) = 4*n - 34. Calculate the remainder when 69 is divided by m(13).
15
Suppose -4*s - 85 = -9*s. What is the remainder when 61 is divided by s?
10
Let r(w) = w**3 - 6*w**2 + 4*w + 3. Let y be r(6). Suppose -55 - y = -2*i. Let z(o) = -o + 6. Calculate the remainder when i is divided by z(-8).
13
Suppose -3*t - 24 = 3*o - 102, -89 = -4*t - o. Calculate the remainder when 60 is divided by t.
18
Suppose 271 = 3*p - b, 5*p - 4*b = -9*b + 425. Calculate the remainder when p is divided by 23.
20
Suppose -2 - 14 = j. Let c = j + 32. What is the remainder when c is divided by 9?
7
Suppose -4*k - 28 = -3*z, 3*z + 2*k - 19 = -3*k. What is the remainder when z is divided by 4?
0
Let n(h) = -5 + 2*h + 12*h**3 + 12*h**2 - 10*h - 2*h - 13*h**3. What is the remainder when 10 is divided by n(11)?
4
Let l(q) = -q**2 + 28*q - 38. What is the remainder when l(23) is divided by 26?
25
Let d(z) = z**2 - 5*z - 4. Let r be d(5). Calculate the remainder when (-1)/r - 952/(-32) is divided by 8.
6
Suppose b - 37 = 9. Calculate the remainder when b is divided by 16.
14
Let z(r) = -r**2 + r + 8. What is the remainder when 20 is divided by z(0)?
4
Let t(j) = -2*j - 5. Calculate the remainder when 31 is divided by t(-6).
3
Suppose -f + 45 = 3*p, 4*f + 7 = -3*p + 52. Calculate the remainder when 57 is divided by p.
12
Let d = -53 - -66. Calculate the remainder when 20 is divided by d.
7
Suppose -6*d = -d, -4*h + 4*d = 4. Suppose -5*j = 5*l - 160, 0*l + 160 = 5*j - 5*l. What is the remainder when j is divided by ((-22)/4*2)/h?
10
Let j = 410 - 290. Suppose -52 = -3*s - c + j, -180 = -3*s + 3*c. What is the remainder when s is divided by 20?
18
Suppose -5*q + 217 = 4*i, 3*i + 0*q = -4*q + 162. What is the remainder when i + 2/6*3 is divided by 20?
19
Suppose -60 = -2*t - t. Calculate the remainder when 37 is divided by t.
17
Suppose -4*d = -3*d + 1. Let m(x) = 13*x + 1. Let w be m(d). What is the remainder when 29 is divided by w/(1 - 2) - 2?
9
Suppose -6*a = -2*a + h - 24, -2*a + 18 = -h. Calculate the remainder when 34 is divided by a.
6
Let n = 42 + -27. What is the remainder when ((-28)/(-3))/((-8)/(-36)) is divided by n?
12
Let y(r) = 2*r**2 + 4*r. Let p be y(3). Suppose p = 2*h + h. Calculate the remainder when h is divided by 6.
4
Suppose -3*g = -6*g + 6. What is the remainder when 38 is divided by (2/(-4))/(g/(-52))?
12
Let w(l) = -l**2 + 15*l - 2. Calculate the remainder when w(10) is divided by 25.
23
Let k(f) be the first derivative of f**4/4 + 7*f**3/3 - 3*f**2/2 - 4*f - 3. Calculate the remainder when k(-6) is divided by 17.
16
Let c(o) = o**2 - 9*o - 7. Let t be c(9). Let p = -4 - t. Let a(v) = v + 3. What is the remainder when a(4) is divided by p?
1
Suppose 0 = -k - k - 2. Let z be k*5*(35 + 2). What is the remainder when z/(-20) - (-2)/(-8) is divided by 3?
0
Suppose 46 = -0*r + 2*r. Suppose 0*v + 36 = 2*v. Suppose v = 3*w + 2*p, -2*w = 2*w - 5*p - 47. What is the remainder when r is divided by w?
7
What is the remainder when 9 is divided by 9/(-3) + 7 + 2?
3
Let b = -62 - -70. What is the remainder when 30 is divided by b?
6
Let x(q) = -15*q. Let j(i) = -i**3 - i**2 + 1. Let h be j(1). What is the remainder when x(h) is divided by 9?
6
Suppose 0 = -3*i + 4*i - 1. Calculate the remainder when (i + 0)*(-3 + 7) is divided by 3.
1
Suppose 0*k + 4 = 4*k. Calculate the remainder when k - 1 - -1*37 is divided by 13.
11
Let j be 2 + -5 + (-1 - -4). Suppose 5*k + 0*k - 5*x - 170 = j, -k - 3*x = -22. Calculate the remainder when k is divided by 8.
7
Suppose 5*t + q = 2 - 3, 3*t + 5*q = 17. Let p(n) = 22*n**2. Let i be p(t). Suppose -i = -v + 1. What is the remainder when v is divided by 8?
7
Let k be -19*(-6)/(0 + 2). Let m = 7 - k. What is the remainder when (m/4)/((-1)/2) is divided by 13?
12
Let m(j) = j**3 - 5*j**2 + 6*j + 2. Calculate the remainder when 17 is divided by m(4).
7
Suppose -13*l = -17*l + 36. What is the remainder when l is divided by 3?
0
Suppose 3*g - 157 = -d, 4*g - 5*d + d = 188. Calculate the remainder when g is divided by 19.
13
Let m = 5 + 1. What is the remainder when 19 is divided by -2 - (m*2)/(-1)?
9
Let s(n) = n**2 - n - 4. Let p = -5 + 5. Suppose -3*l = -p*l + 5*b - 181, 4*l - 243 = -5*b. Calculate the remainder when l is divided by s(-4).
14
Let q = -30 + 51. What is the remainder when q is divided by 8?
5
Let z be 490/18 - (-6)/(-27). Calculate the remainder when 155/3 + (-1)/(-3) is divided by (z/(-4))/((-6)/16).
16
Suppose -12 = -4*j - 4*v, -2*j + 0 = -3*v - 1. Suppose j*s + 20 = 74. Calculate the remainder when s is divided by (4 + -3)*13 - -1.
13
Suppose 2*o + o - 3*j - 21 = 0, 0 = -3*o + 5*j + 25. Calculate the remainder when 17 is divided by o.
2
Suppose 17*b - 6*b - 110 = 0. What is the remainder when 4*4 + (-2 - -2) is divided by b?
6
Suppose 5*t = 4*i - 20, 4*i = 4*t + 18 + 2. Suppose -2*n - 3*n = 55. Calculate the remainder when 20 is divided by (t + n)/(2/(-2)).
9
Let n(m) = -m**2 - 4*m - 4. Let d be n(-4). Let u = 25 - 13. Calculate the remainder when ((-8)/10)/(d/170) is divided by u.
10
Suppose 0 = -o - 3 - 5. Calculate the remainder when 6 is divided by (-4)/((-1)/(-6)*o).
0
Let t(u) = 4*u**3 - u**2 - u + 1. Let c be t(1). Suppose 16 = c*p + 4. Calculate the remainder when 7 is divided by p.
3
Suppose -3*f - 244 = -5*f. Calculate the remainder when f is divided by 31.
29
Let t(v) = 67 - 4*v - 3*v - 64. Calculate the remainder when t(-3) is divided by 9.
6
Let l(g) = -4*g**2 + 6 + 0*g**2 + 0 + g**3 - 6*g. Let h be l(5). Calculate the remainder when (-23)/2*h*-2 is divided by 12.
11
Suppose -3*f = -3 - 6. Calculate the remainder when 8 is divided by f.
2
Let h = -38 + 55. Calculate the remainder when 28 is divided by h.
11
Suppose -5*o - 5*t = -42 - 128, 3*o - 5*t = 126. Calculate the remainder when o is divided by 13.
11
Let h be -1*(-1 - -3 - 4). Let w be 27/(-6) + 2/4. Let n = h - w. Calculate the remainder when 16 is divided by n.
4
Let i = 28 + -14. Let u = -18 + 59. Calculate the remainder when u is divided by i.
13
Let l be 312/10 + 1/(-5). Let f = -21 + l. Suppose 0 = 5*b - 0*b - 140. What is the remainder when b is divided by f?
8
What is the remainder when (4/12 - 1)/(4/(-786)) is divided by 33?
32
Let h(p) = -p**3 + 4*p**2 + p - 1. Let v be -2 - (0 - 2/1). Suppose 3*r - 12 + v = 0. Calculate the remainder when 7 is divided by h(r).
1
Suppose 2*d = d + 6. Let z = -55 - -93. Let r = -27 + z. What is the remainder when r is divided by d?
5
Suppose 4 + 5 = r. What is the remainder when (6/(-12))/(2/(-132)) is divided by r?
6
Let z = 156 + -144. What is the remainder when 20 is divided by z?
8
Suppose 0 = -2*v + 46 - 2. Calculate the remainder when v is divided by 5.
2
Let q(w) = w**2 - 11*w - 8. Let d be q(14). Let n be (0 + 12)*10/(-8). Let s = d + n. Calculate the remainder when s is divided by 7.
5
Let n = 20 + -13. Calculate the remainder when (2/(-4))/(9/(-342)) is divided by n.
5
Suppose z + 3*y + 7 = -5, -y = -4*z + 4. Suppose 119 = 4*h - 5*m, -3*h = -z*h - 5*m - 93. Calculate the remainder when h is divided by (-6)/(-10) + 42/5.
8
Let f(c) = c**2 - 3*c + 1. Let m be f(3). Let s = m - -2. Let h(o) = -o**2 + 6*o + 3. Calculate the remainder when 23 is divided by h(s).
11
Let f = -47 - -69. What is the remainder when 65 is divided by f?
21
Let i(g) = 4*g + 3. Let k be i(-2). Suppose -3*u + 0*u + 6 = 0. What is the remainder when -2 + 2 + -2 - k is divided by u?
1
Suppose -11*m - 51 = -14*m. Let y = 15 + -6. Calculate the remainder when m is divided by y.
8
Let d(g) = -g**2 + 7*g + 11. Let b be d(8). Suppose -a + 5*f = -40, -a + 94 = a - b*f. What is the remainder when a is divided by 13?
11
Let f = -21 - -34. Suppose 3*h = 6*h - 153. What is the remainder when f is divided by h/9 - (-8)/(-