 the remainder when g is divided by u(12).
2
Suppose -3*x - d = 1644, -5*x - 4*d - 887 = 1860. What is the remainder when x/(-9) + (-16)/9 + 2 is divided by 31?
30
Suppose 7 = 2*z - 17. Calculate the remainder when 31 is divided by 376/48 - (-2)/z.
7
Let h = 680 - 670. Let p = 1 - -41. Suppose 5*k - p = 43. Calculate the remainder when k is divided by h.
7
Suppose 20*o - 16 = 22*o. Calculate the remainder when o/5*(-15)/2 is divided by 5.
2
Let u = -6 + 0. Let s(v) = -10*v - 17. What is the remainder when s(u) is divided by (22/(-4))/(1/(-2))?
10
Suppose 31 = 4*p + 3*a, a - 2 = -3*p + 15. What is the remainder when 16 is divided by p?
0
Let y be 2*-1 - (-47 - -3). Suppose 214 + y = 2*n. Suppose -q - 45 = -n. What is the remainder when q is divided by 17?
15
Let n(h) = 38*h - 6. Let v(o) = -o - 1. Let j(w) = n(w) - 5*v(w). Calculate the remainder when j(1) is divided by (12*(-35)/252)/(((-70)/132)/7).
20
Let r(s) = 2*s - 1. Let t be r(-3). Let v = 32 + t. Let u = v - 2. Calculate the remainder when u is divided by 13.
10
Let r = 0 - -6. Suppose 4*d - d - 4*k = 45, -61 = -5*d + 2*k. What is the remainder when d is divided by r?
5
What is the remainder when 454*2 + -45 + 44 is divided by 101?
99
Suppose 3*i + 5*h = 66 + 3, 3*i - 4*h - 69 = 0. Calculate the remainder when i is divided by 14.
9
Let s(t) = -2*t**2 - 17*t + 2. Let v(d) = d**2 + 5*d - 2. Let a be v(-3). What is the remainder when 39 is divided by s(a)?
9
Let a(w) = 5*w - 17. Suppose -26 = -4*s - 3*p, -2*p = -2*s + 3*p. What is the remainder when 12 is divided by a(s)?
4
Suppose 4*f + 1 - 3 = 2*q, -4*q = -5*f - 2. Suppose 0 = -q*v + 9 + 168. Calculate the remainder when v is divided by 15.
14
Suppose 3*c + 15 = 0, 4*c = 3*o - 37 + 2. Suppose -45 = o*b - 175. What is the remainder when b is divided by 14?
12
Calculate the remainder when 67 is divided by (-1 + 61)*10/25.
19
Suppose -3*f = 3 - 39. Calculate the remainder when (-107)/(-5) - (-38)/(-95) is divided by f.
9
Let z(k) = 12*k - 21. Let s = -76 + 84. What is the remainder when z(7) is divided by s?
7
Let d = -64 - -137. Calculate the remainder when d is divided by 38.
35
Suppose -16 - 8 = -8*i. Suppose -i*n = n - 360. Suppose -3*w - 46 = -5*w. What is the remainder when n is divided by w?
21
Let y(m) = 3*m**3 - 5*m**2 + 2*m + 6. Let l be y(5). Suppose 96 = -5*k + l. What is the remainder when k is divided by 9?
7
Suppose -y + 8 = 2*y - 5*b, -3*y - 3*b = -48. Calculate the remainder when 150 is divided by y.
7
Suppose 5*d + 0*d = 15, 3 = -2*z + d. Let g = 245 - 242. Calculate the remainder when (0 - (z - 11)) + 0 is divided by g.
2
Suppose 0 = 4*z - y + 57, -4*z + 6*z - 4*y = -18. Let c = 6 - z. Calculate the remainder when 101 is divided by c.
17
Let n(t) = -23*t - 44. What is the remainder when n(-10) is divided by 11?
10
Let v(g) = -g**2 - 2*g - 3. Let p(f) = -f**3 - 3*f**2 + f + 1. Let o be p(-3). Let c be v(o). Let d = c + 19. Calculate the remainder when 77 is divided by d.
13
Suppose 2*r + 17 = b - 17, 5*b = 5*r + 75. Let u = r + 23. Suppose 0*g = 2*g - 4*s - 142, -u*g + 4*s + 300 = 0. What is the remainder when g is divided by 10?
9
Let d be 1*10 - (9 - 10). What is the remainder when 40 is divided by 2/d - 229/(-11)?
19
Let w(p) be the third derivative of -p**6/120 - p**5/30 - p**4/8 - p**3/2 + 7*p**2. Calculate the remainder when 21 is divided by w(-2).
0
Let t = 367 - 357. Let h = -10 + 47. Calculate the remainder when h is divided by t.
7
Suppose -5*t = -1 - 104. What is the remainder when t is divided by 11?
10
Suppose 7*p + 1 = 29. Let b be p/(-18) - (-280)/126. What is the remainder when 32 is divided by -11*(-2 - (-2)/b)?
10
Let o(u) = 29 - 51 - 5*u - 6*u + u**3 + 0*u + 4*u**2. Calculate the remainder when o(-5) is divided by 5 - 1/(2/4).
2
Let z be 2*(1 - (1 + 1)). Let g(b) = 4*b + 1. Let u be g(0). What is the remainder when 18*u + -2 + z is divided by 5?
4
Let k(n) = 7*n**2 - 26*n + 3. Calculate the remainder when k(-4) is divided by 67.
18
Let v be (-15)/(-10)*208/12. Suppose -2*q = 4*t - v, -t = -q - 0*t + 16. Calculate the remainder when 74 is divided by q.
14
Let n = 8 - -1. Suppose 29*d - 5136 + 206 = 0. Calculate the remainder when d is divided by n.
8
Let y(r) = r**3 - r**2 + 1. Let t be (4 - 2)*(-57)/6. Let z = 22 + t. What is the remainder when y(z) is divided by 4?
3
Let w = 0 - -1. Let k = 11 + w. Let x(h) = -h**2 - 12*h + 32. Calculate the remainder when k is divided by x(-14).
0
Let v(a) = -a**3 + 3*a + 1. Let c be v(-2). Let o(b) = 23*b. Let q be o(c). Let j = q + -49. Calculate the remainder when j is divided by 11.
9
Let s = 22 + 61. What is the remainder when s is divided by 15?
8
Let z(p) = -2*p**2 - p - 1. Let u be z(-1). Let j(k) = 2*k + 11. Calculate the remainder when j(6) is divided by (u/(-6))/((-4)/(-60)).
3
Suppose -4 + 8 = g. Let m(b) = b**3 + 5*b**2 + 3*b + 6. Let r be m(-5). What is the remainder when -1 + (3/(-3) - r) is divided by g?
3
Let l(q) = q**3 + 12*q**2 + 3. Suppose 0*k = 5*k + 60. What is the remainder when 17 is divided by l(k)?
2
Let p(w) = 10*w - 45. What is the remainder when 164 is divided by p(10)?
54
Suppose -8*q + 109 = -163. What is the remainder when 880 is divided by q?
30
Suppose 4*b - 8*b - 36 = 0. Let p be b/6*(-2 - -6). Calculate the remainder when 4 - p*(-2)/4 is divided by 1.
0
Let y(i) = -3*i**2 - 57*i + 18. What is the remainder when y(-15) is divided by 40?
38
Suppose 0 = 84*j - 5805 - 6963. Calculate the remainder when j is divided by 14.
12
Let n(k) = -1 - 5 + 2*k + 0 - 3*k**2 + 3 - k**3. Let v be n(-4). Let w = 17 - v. Calculate the remainder when 44 is divided by w.
8
Let y be (-3)/(-15) - 243/15. Let h = y + 22. What is the remainder when h is divided by (-20)/15*(-3 + (-1 - -1))?
2
Let p(r) = -r**3 - 3*r**2 + 4*r + 3. Calculate the remainder when (6 - -3)/(7/(2 - -5)) is divided by p(-4).
0
Let k be (-395)/(-25) - (-12)/(-15). Suppose 2*m = k - 43. Let b(n) = -n**3 - 13*n**2 + 12*n + 2. What is the remainder when b(m) is divided by 16?
14
Suppose 0 = -2*r + 233 + 83. Suppose r = -2*g + 174. What is the remainder when g is divided by 6?
2
Calculate the remainder when (-3640)/(-78)*12/8 is divided by 37.
33
Let v = 103 + -66. Let p(q) = 234*q - 125. Calculate the remainder when p(1) is divided by v.
35
Calculate the remainder when 267 is divided by 134/10*(-5 + 10 + 0).
66
Suppose -11*h + 15*h + 5*k = 879, -2*h + k = -457. Calculate the remainder when h is divided by 106.
14
Suppose 20*f + 123 = 243. What is the remainder when f is divided by 4?
2
Let j = 205 + -431. Let m = -100 - j. Calculate the remainder when m is divided by 16.
14
Let h(q) = 18*q**2 + 6*q + 45. Calculate the remainder when h(9) is divided by 60.
57
Let y(z) = 2*z + 24. Let w be y(-5). Let r = 2 + w. What is the remainder when 30 is divided by r?
14
Suppose 20*u - 1355 = 665. What is the remainder when u is divided by 93?
8
Suppose -2 = v - 4*z - 9, -39 = -4*v + 5*z. Calculate the remainder when v is divided by (-23)/(-5) + (-4)/(-10).
1
Suppose -4*o - 46 = h + 4*h, 41 = -5*o + 2*h. Let g(j) = -3*j - 5. Let d(y) = 10*y**3 + 2*y + 1. What is the remainder when d(2) is divided by g(o)?
19
Suppose -5*o + 109 + 16 = 0. Suppose -2*p = -5*a + 6 - 127, -154 = -3*p + 2*a. What is the remainder when p is divided by o?
23
Suppose v + 208 = t, 5 + 15 = 5*v. What is the remainder when t is divided by 31?
26
Let d(u) be the first derivative of u**3/3 + 9*u**2/2 + 18*u + 6. What is the remainder when 165/10 + (-1)/(-2) is divided by d(-8)?
7
Suppose 3*u = -28*u + 5084. What is the remainder when u is divided by 33?
32
Let s(d) = d**2 - 50*d + 65. Calculate the remainder when 178 is divided by s(50).
48
Let o(f) = -2*f - 62. Let v be o(-17). Suppose 130 = 4*z - s - 14, 0 = z - 5*s - 55. Let h = z + v. Calculate the remainder when h is divided by 3.
1
Calculate the remainder when 123 is divided by (-272)/(-20)*(1 + 3/2).
21
Suppose 13 = -4*d + 5*n + 193, -45 = -d - 4*n. What is the remainder when 117 is divided by d?
27
Let n(q) = q + 50. What is the remainder when 475 is divided by n(-41)?
7
Suppose -376 = -3*x - 2*j - 328, 5*x - 2*j - 80 = 0. What is the remainder when 72 is divided by x?
8
Suppose 0 = 18*f - 237 - 447. What is the remainder when 259 is divided by f?
31
Suppose -l + 12 =