, 2*w + w - 109 = -2*a. Calculate the remainder when w is divided by 12.
9
Let u(z) = -z**2 + 12*z - 9. Let b(c) = c**2 + c - 6. Let o be b(5). Suppose 0 = -3*w - w + o. Calculate the remainder when u(8) is divided by w.
5
Calculate the remainder when 3 + 1 - 0 - -57 is divided by 16.
13
Let v = -3 - -6. Suppose 2*k + v*k + 31 = c, 2*c = 2*k + 22. What is the remainder when (c/(-4))/(12/(-32)) is divided by 2?
0
Suppose f - 3*p = 2*p - 2, 0 = f + 3*p - 22. Calculate the remainder when 102 is divided by f.
11
Let t be ((-3)/2)/(2/(-28)). Let u be (-5 - -2)/(3/(-4)). Suppose u*d = -9 + t. What is the remainder when d is divided by 2?
1
Let w(y) = -7*y**3 - 2*y**2 + 3*y - 3. Let g be w(2). Let d = -17 - g. Suppose -38 = -3*v + j, 4*j - j + d = 4*v. What is the remainder when 27 is divided by v?
13
Suppose 3*b - 3*z = z + 85, 0 = 5*b + z - 157. Let h = -6 - -23. Calculate the remainder when b is divided by h.
14
Calculate the remainder when 1*((-1)/2)/((-1)/346) is divided by 35.
33
Suppose 4*a - 3*a = 8. Calculate the remainder when ((-27)/(-12))/((-6)/(-80)) is divided by a.
6
What is the remainder when 8 + (-17)/(-4) + 3/(-12) is divided by 4?
0
Let p be (-5)/(-2)*(2 - 0). Suppose 4*w - p = 3*w. Suppose -q + 4*r + 10 = 0, w*q + 4*r - 40 = q. What is the remainder when 18 is divided by q?
8
Suppose -5*n + 38 = 13. Suppose w - 2 - n = 0. What is the remainder when 23 is divided by w?
2
Suppose -2*i = 4, 2*d - 181 = 2*i + 85. What is the remainder when d is divided by 33?
32
Let x(z) = z**3 + 11*z**2 - z + 15. What is the remainder when x(-11) is divided by 14?
12
Let j(p) = -2*p + 3. Let u be j(4). Let g = u + 8. Suppose -4*z - 102 = -4*h - 18, -g*z + 91 = 4*h. What is the remainder when h is divided by 8?
6
Suppose 4*t + 4 = 0, -5*t - 18 = 4*s - 153. Calculate the remainder when s is divided by 19.
16
Suppose 4 = 2*a - a. Suppose -a*h = w - 16, 19 = 2*w + 4*h - 1. Suppose -3*q + 1 = -5. Calculate the remainder when w is divided by q.
0
Let l = 247 - 108. Calculate the remainder when l is divided by 10.
9
Let k(q) = -q + 18. Let n be k(9). What is the remainder when 52 is divided by (7 - 3 - 4) + n?
7
Let l(u) = -11*u - 6. Suppose -4*a - a = 20. Calculate the remainder when l(a) is divided by 10.
8
Let w = 22 - 9. Suppose 1 = 4*l - 7. Suppose -2*z = l*z - 152. Calculate the remainder when z is divided by w.
12
Let k(b) = 16*b**2 + 1. Let p(z) = -z - 5. Let s be p(-4). Suppose 6*u = 3*u, -4*j + 200 = -u. What is the remainder when j is divided by k(s)?
16
Let j = 55 + -23. Calculate the remainder when j is divided by 10 + -1 - (-3 + 1).
10
What is the remainder when 1/1 + (2 - 1) is divided by 18/8 - 9/36?
0
What is the remainder when (-12)/(-3) + 185 + -4 + 3 is divided by 48?
44
Suppose 5*r + 68 = 5*d + 7*r, 0 = -2*d - r + 28. What is the remainder when (-10)/(-2)*7 - 1 is divided by d?
10
Let q be (-16)/3 + (-4)/6. Let d = 20 - q. Calculate the remainder when d is divided by 9.
8
Let r(y) = 8*y - 1. Let n be 3/(-9) + (-51)/9. Let h = 7 + n. Calculate the remainder when 12 is divided by r(h).
5
Let w = -124 - -162. What is the remainder when 149 is divided by w?
35
Suppose 2*i - 22 = 12. Calculate the remainder when 32 is divided by i.
15
Suppose 3*p - 10 = 2*u, -4*u + 25 = -9*u. Let i = p + 1. Suppose -4*c + 5 = c. What is the remainder when c is divided by i?
0
Let h(x) = x**3 + 6*x**2 - 4*x + 4. Let g be h(-7). Let l = -10 - g. What is the remainder when 25 is divided by l?
4
Let i = -26 - -40. Let d be 14/2 - (2 + -2). Let z = i - d. Calculate the remainder when z is divided by 4.
3
Let h(g) = 2*g + g**2 - 6 - 1 + 2. Suppose -2*u - 155 = -5*i, 3*u + 107 = 5*i - 53. Calculate the remainder when i is divided by h(-5).
9
Suppose -2*a + 4*a = 2. What is the remainder when (24 - 3 - -3) + a is divided by 0 + 10 - (0 + 1)?
7
Let p be 0/(-4) - (-7)/1. Let s = -2 + p. Suppose r - 4 = 0, 5*n - 4*r + 0 + 6 = 0. What is the remainder when s is divided by n?
1
Suppose -o = -5*o + 16. Suppose -4*d - z = -11, 4*d + 5*z - 19 - o = 0. Calculate the remainder when (7/((-14)/20))/(-2) is divided by d.
1
Suppose 3*u - 4*l - 23 = -10, -3*l = 3*u - 6. Suppose -5*c - d + 72 = 0, c - u*d + d - 21 = 0. Calculate the remainder when 59 is divided by c.
14
Let o be (-25)/(-15) - 2/3. Calculate the remainder when (o/1 - -24) + -3 is divided by 12.
10
Suppose -4*v + 114 = -3*q, -3*v - q + 92 = -0*v. What is the remainder when v is divided by 8?
6
Suppose 4*d - 313 = -5*c, d - 120 - 72 = -3*c. What is the remainder when c is divided by 33?
32
Suppose 5*r - 25 = -2*q, -q - 2*q = -3*r - 6. Suppose r*s + 5 = 4*s. Let h = s + 2. What is the remainder when 20 is divided by h?
6
Suppose d = -5*x + 4*d + 264, -3*x + 159 = -2*d. What is the remainder when x is divided by 11?
7
Let l(g) = -g**2 - 7*g + 8. What is the remainder when 68 is divided by l(-5)?
14
Suppose -164 = -4*h + 4*u, -3*h = -2*u + 10 - 132. Calculate the remainder when 78 is divided by h.
38
Suppose 7*c - 24 = 67. What is the remainder when 38 is divided by c?
12
Let v = 44 + -33. What is the remainder when 97 is divided by v?
9
Suppose 3*p + 13 + 2 = 0, -3*u + 4*p = -803. What is the remainder when u is divided by 44?
41
Let q = 10 - 3. Let t(c) = 3*c**2 + 2*c - 3 + 4 + 0*c. Calculate the remainder when q is divided by t(-1).
1
Suppose 2*y - 2 = h + 15, -4*h - 44 = -5*y. What is the remainder when 23 is divided by y?
7
Let p be -2*((-9)/(-6) + -2). Let g be 1/p*0/1. What is the remainder when -2 + g - 0 - -51 is divided by 17?
15
Let w(d) = -d + 1. Let q be w(1). Let g = 4 + 5. Suppose q = p - g - 13. Calculate the remainder when 43 is divided by p.
21
Let c(t) = t**2 - 3*t - 18. Let u be c(6). Suppose -5*d + 58 = 3*f, u = -2*f - 2*d + 17 + 15. Calculate the remainder when 41 is divided by f.
8
Suppose -4*b + 156 = -4*x, 3*b + 43 = -x - 0*b. Let q = -10 - x. What is the remainder when 118 is divided by q?
28
Calculate the remainder when (-4)/(-10) + (-17)/(510/(-648)) is divided by 6.
4
Let r(c) = -2*c**3 - c**2 + c + 2. Suppose -3*l = -2*l - 46. Calculate the remainder when l is divided by r(-2).
10
Let c(a) = a - 2. Suppose -6*l = -2*l. Let u be c(l). What is the remainder when 11 - (4/(-2))/u is divided by 6?
4
Let a(k) = 4*k. Let m = -18 + 27. Calculate the remainder when a(4) is divided by m.
7
Let p = -34 + 39. What is the remainder when 22 is divided by p?
2
Let l(p) = -p - p + 8*p**2 + 3*p + 4*p**2. Suppose 2*v = 4*h + 1 + 13, -3*v = -5*h - 20. What is the remainder when 31 is divided by l(h)?
9
Let k(w) = 5*w**2 - 3*w + 6. Calculate the remainder when 158 is divided by k(2).
18
Let w(o) be the third derivative of -o**4/8 - o**3/3 - o**2. What is the remainder when 45 is divided by w(-6)?
13
Suppose -10 = -4*r + 6. Calculate the remainder when 12 is divided by r.
0
Let p be 76/10 - 36/(-90). Suppose -z + a = -a + p, -a = -5. What is the remainder when 3 is divided by z?
1
Suppose -4*y - y = l - 243, 3*l - 57 = -y. Calculate the remainder when y is divided by 14.
6
Let g = -4 - 6. Let i = g + 18. Calculate the remainder when 14 is divided by i.
6
Suppose 5*p + 5 = 0, -5*k = p - 2*p - 621. Let m = -76 + k. What is the remainder when m is divided by 13?
9
What is the remainder when -1 + (-5 - -1) + 72 is divided by 18?
13
Let y = -28 + 49. Suppose -y = -5*j + 34. What is the remainder when 21 is divided by j?
10
Suppose 4*b = z + 12, 4*z - 15 = z - 5*b. Suppose z = -3*h - 0 + 9. What is the remainder when (-1)/(-2) + 26/4 is divided by h?
1
Suppose -108 = -2*r - 4*i, 4*r + i = -0*i + 202. What is the remainder when r is divided by 18?
14
Let d(x) = 4*x + 6. What is the remainder when d(6) is divided by 16?
14
Let z(i) = -3*i - 1. Let m be z(-1). Suppose -m*l = -0*l - 174. What is the remainder when l is divided by 15?
12
Let c(t) = 5*t. Let i be c(1). Suppose -w - 68 = -i*w. Calculate the remainder when 32 is divided by w.
15
Suppose -4*n + 2 - 10 = 0. Let s(k) = 2*k**2 - 8 + 4*k + 6 - 5*k. Calculate the remainder when 14 is divided by s(n).
6
Let s = 0 + 2. Let y be 1*(-3)/9*-18. Suppose q + y = s*q. Calculate the remainder when 11 is divided by q.
5
Let l(v) = 4*v**2 - 3*v**2 - 6 - 1 + 1. Let b(g) = -g**2 - g + 37. What is the remainder when b(0) is divided by l(-5)?
18
Let z be (31/2)/((-1)/(-2)). 