9. Calculate the remainder when 11/2*(1 + 1) is divided by p.
5
Let q(v) = -v**2 - v + 3. Suppose -2*m = 3*m. Let j be q(m). Suppose -4*z - 52 = -4*w, j*w - 7 = -4*z + 25. Calculate the remainder when 34 is divided by w.
10
Let q = 15 + -10. Let f be (-7)/28 + (-1)/(-4). Suppose q*l + 5*b - 28 - 7 = f, l = 4*b - 18. What is the remainder when 2 is divided by l?
0
Let o(p) = -p**3 - 7*p**2 - 6*p + 5. Suppose 0 = -5*u - 4*g + 1 + 19, -5*g = -4*u + 16. Calculate the remainder when o(-6) is divided by u.
1
Suppose c - 3 = -0. Suppose -6*y + y + 70 = -3*u, 0 = -c*y - u + 28. Let x = 19 + 12. Calculate the remainder when x is divided by y.
9
Suppose 5*k + 13 = 108. Suppose 2*f = k + 69. Calculate the remainder when f is divided by 15.
14
Let h = 18 - 13. Suppose a = l, 5*l + a - 25 = l. Let m = -3 + l. What is the remainder when h is divided by m?
1
Let x(n) = 2*n**2 - 8*n + 1. Let o be x(6). Let h = 45 - o. What is the remainder when 39 is divided by h?
19
Let m be ((-4)/6)/((-3)/63). Suppose 0 = -t + 2, j + 2*t + m = 3*j. Suppose -s + 36 = j. What is the remainder when s is divided by 14?
13
Let y(w) = -w**2 + 4*w + 12. Let a be y(6). Suppose 3*t - n - 72 = a, -4*n + 101 = 4*t + 21. Calculate the remainder when 67 is divided by t.
21
Let o = -34 - -58. Calculate the remainder when 68 is divided by o.
20
Let v(d) = d**2 - 4*d - 5. Let y be v(5). Let c(q) = -q + 12. Calculate the remainder when 35 is divided by c(y).
11
Suppose -6*b - 8 = -8*b. Calculate the remainder when 9 is divided by b.
1
Let k(t) = 2*t + t - 4*t + 3 + t**2. Let g = 2 + 2. What is the remainder when 43 is divided by k(g)?
13
Let o = 76 + -36. Let p = o - 19. What is the remainder when 82 is divided by p?
19
Let x(c) be the first derivative of -c**3/3 + 7*c**2/2 + 7*c - 1. Suppose 0*n - s = -2*n + 26, -5*n + 54 = 3*s. What is the remainder when n is divided by x(7)?
5
Let j = 4 + 4. Let a(l) = 3*l**3 - 5*l**2 + 2*l + 4. Let t be a(3). Suppose t = 4*s + 3*v, -2*v - j = 2*v. What is the remainder when 24 is divided by s?
11
Let t = 3 + 30. What is the remainder when 60 is divided by t?
27
Let w(n) = -n**3 - 7*n**2 - 9*n. Let p be 1*(0 - -1 - 7). Calculate the remainder when 3/(-5) + (-346)/(-10) + 0 is divided by w(p).
16
Let w = 21 - -22. What is the remainder when w is divided by 15?
13
Let d = 300 - 213. Suppose 4*f - f - d = 0. Calculate the remainder when f is divided by 8.
5
Suppose -5*a - 3*w - 8 = -3*a, -4*a + 5*w + 28 = 0. Suppose 3*s + 15 = -0*s, 0 = -a*g + 4*s + 68. Calculate the remainder when 71 is divided by g.
23
Suppose -r + 28 = 3*q, r + 2*q + 3*q - 36 = 0. What is the remainder when r is divided by 6?
4
Calculate the remainder when (-11)/44 + (-253)/(-4) is divided by 16.
15
Let g(q) = -q**3 + 10*q**2 - 10*q + 16. What is the remainder when (38/(-8))/((-1)/4) is divided by g(9)?
5
What is the remainder when 49 - 10/(-6)*-3 is divided by 18?
8
Let d(t) be the third derivative of -t**4/4 + 4*t**3/3 - 4*t**2. Calculate the remainder when d(-9) is divided by 21.
20
Suppose -252 = -5*m + m. Calculate the remainder when m is divided by 13.
11
What is the remainder when 36 is divided by (-1)/((-6)/(-9)*12/(-152))?
17
Let w(p) = p**3 + 4*p**2 + 2. Suppose -3*g - 2*g = 10. Let l be w(g). What is the remainder when 16 is divided by -1 + l + 0/1?
7
Let q(i) = 3*i**3 - i - 2. Let v = -2 - -9. Calculate the remainder when q(2) is divided by v.
6
Let g = -13 + 21. Suppose 2*z - p + 25 = -0, -10 = -z - 4*p. Let w = -7 - z. What is the remainder when g is divided by w?
2
Let n(v) = -v**3 + 5*v**2 - 3*v + 6. Let h(q) = -q**3 + 5*q**2 - 4*q + 7. Let p(t) = -5*h(t) + 6*n(t). What is the remainder when 42 is divided by p(5)?
9
Suppose -19 = -2*w + 71. What is the remainder when w is divided by 25?
20
Let f(k) = 8*k - 1. Calculate the remainder when (42/1)/((-3)/(-2)) is divided by f(2).
13
Let u(y) = 11*y - 14. What is the remainder when u(7) is divided by 11?
8
Calculate the remainder when (34 - 0)/(2/4) is divided by 18.
14
Let k = 0 + 1. Suppose 5*f - 4*s = -37, 5*f - 3*s = -s - 31. Let j = -2 - f. What is the remainder when j is divided by k?
0
Let p be 470/9 + 4/(-18). Suppose -5*l + p = 2. Let n(k) = k**3 - 6*k**2 + 2*k + 6. Calculate the remainder when n(6) is divided by l.
8
Let u(q) = 33*q - 1. What is the remainder when 92 is divided by u(1)?
28
Suppose 3*z + z - 2*i - 466 = 0, 0 = -4*z - 2*i + 470. Suppose -5*h + z = -3. What is the remainder when h is divided by 9?
6
What is the remainder when 10 is divided by ((-10)/(-35))/((-2)/(-14))?
0
Let v = -114 + 165. Let c = 51 - 33. What is the remainder when v is divided by c?
15
Suppose -2*v - 2*v = -20. Suppose v*d - 41 = 139. Calculate the remainder when d is divided by 19.
17
Let u = 21 + -16. Let i = 5 - 2. What is the remainder when u is divided by i?
2
Suppose 4 = -2*a + 34. Let s = -36 - -95. What is the remainder when s is divided by a?
14
Suppose -5*q - 2 = 2*k, k - 2*k = -4*q - 12. Let l(i) = -i + 24. What is the remainder when l(0) is divided by (11 - q) + -1 + 1?
11
Let n(o) = o + 5. Let m(h) = h + 4. Let d(p) = 3*m(p) - 2*n(p). Calculate the remainder when 5 is divided by d(0).
1
Suppose 4*i - 76 = -0*i. Calculate the remainder when i is divided by 11.
8
Suppose -2*u - v - 5 = -u, 25 = 4*u - 5*v. Calculate the remainder when 5/1 + u/2 is divided by 4.
1
Let d(r) = r + 17. Let z be d(-12). What is the remainder when 23 is divided by -1*(2 - z) + 5?
7
Let n be 6/4*-3*2. Let y = -2 - n. Calculate the remainder when 18 is divided by y.
4
Suppose -440 = 22*f - 1408. Calculate the remainder when f is divided by 23.
21
Let i(m) = -m**2 - 12*m - 3. What is the remainder when 95 is divided by i(-9)?
23
Suppose -2*b - 2*n + 42 = -4*n, 0 = -2*b - 4*n + 12. Calculate the remainder when b is divided by 3.
1
Suppose 4*z + 5*s - 46 - 59 = 0, 0 = 3*z + 5*s - 80. Suppose -j + 0 = i - 7, 0 = -3*j + i + z. What is the remainder when 15 is divided by j?
7
Calculate the remainder when 2/(-4)*-118 - 0 is divided by 21.
17
Suppose 3*g + 5*b - 89 = 0, -4*g = -2*b - 26 - 58. What is the remainder when g is divided by 22/4 + (-2)/(-4)?
5
Suppose -4*v = -k + 45, 3*v - 4*v + 5*k = 35. Calculate the remainder when (-80)/v + 1 + 1 is divided by 6.
4
Suppose 0 = 2*r - 3*r - 5. Let k(x) = -5*x. Let p = -110 + 159. What is the remainder when p is divided by k(r)?
24
Let y(u) = u**2 + u + 2. What is the remainder when y(-6) is divided by 11?
10
Suppose y + 0 - 3 = s, -2*y - 5*s - 8 = 0. Calculate the remainder when 58*(2/(-4))/(-1) is divided by 15*(y - 0)*1.
14
Suppose -2*p + 125 = 3*p. Let c = p - 64. Let m = c + 59. What is the remainder when m is divided by 7?
6
Suppose 36 = 3*s + 5*c - 93, 5*s = 4*c + 178. What is the remainder when s is divided by 13?
12
Suppose 0 = -3*x + 22 + 107. Calculate the remainder when x is divided by 15.
13
Let f = 12 + -3. Calculate the remainder when f is divided by 7.
2
Let i(s) be the first derivative of -3*s**2/2 + 3*s - 3. What is the remainder when 53 is divided by i(-5)?
17
Suppose 0 = -2*k - 3*i + 28, 3*i = -4*k + 22 + 28. Calculate the remainder when k is divided by 3.
2
Suppose -2*s = s - b + 64, -s - 20 = -b. Calculate the remainder when (-1 - -2)*3 - s is divided by 13.
12
Let a = -11 - -21. Let k = a - 1. Calculate the remainder when 25 is divided by k.
7
Let c(p) = 6*p - 9. What is the remainder when 78 is divided by c(6)?
24
Let o(f) = 4*f + 2. What is the remainder when (-104)/6*(-15)/10 is divided by o(2)?
6
Let o(j) = -66*j**3 - 2*j**2 - j. Let k(f) = 7*f - 53. What is the remainder when o(-1) is divided by k(10)?
14
Suppose 7*i = 3*j + 3*i - 17, 12 = 2*j - 3*i. Suppose -j*h = -8*h - 40. Let n(y) = -y**3 - 8*y**2 - 3*y - 12. Calculate the remainder when n(h) is divided by 7.
5
Suppose -4*h - y = -11, h - 14 + 5 = y. Calculate the remainder when 12 is divided by h.
0
Let y(b) = -4*b - 1. Let p be y(-1). Suppose -210 = -5*o + 5*l, 0 = -p*o + 7*o - 5*l - 172. Calculate the remainder when o is divided by (3/(-2))/((-3)/26).
12
Suppose -4*i + 29 = j, -5*j - 5*i + 54 + 16 = 0. What is the remainder when 25 is divided by j?
7
Calculate the remainder when (-1)/(-2) + (-543)/(-6) is divided by 47.
44
Let g = 17 - 30. Let r = g + 47. Let m = 43 + -31. What is the remainder when r is divided by m?
10
