(a) = -a + 9. Let q be y(9). Suppose 0 = 2*g - q - 2. Calculate the remainder when 43 is divided by g*(-2 + (20 - 3)).
13
Suppose 4*w = 195 + 9. Suppose 0 = 2*x + x - w. What is the remainder when x is divided by 6?
5
Suppose -19 = -2*n - 5. Let z = 16 - n. Suppose -3*q + 4*q - 16 = 0. Calculate the remainder when q is divided by z.
7
Let y be ((-36)/3)/(-4)*4. Let k(l) = l + 13. Calculate the remainder when k(y) is divided by 14.
11
Suppose -30 = 2*y + 3*y. Let w be (-2)/y - (-16)/(-12). Let g(f) = -14*f. Calculate the remainder when g(w) is divided by 5.
4
Suppose -d + 26 = 3. Let x = 43 - d. Suppose 4*o - 2*o = 22. Calculate the remainder when x is divided by o.
9
Calculate the remainder when -3*1*(2 + -25) is divided by 18.
15
Let t be 3*28/6 + -1. Let y = t + -1. Calculate the remainder when 34 is divided by y.
10
Let z(q) = -q**2 - 6*q + 5. Let d be z(-6). Let n(u) = 9*u - 2*u**2 + 0 + u**2 - d. What is the remainder when n(5) is divided by 8?
7
Suppose -200 = -5*j - 5*f, 0 = f - 4 - 0. What is the remainder when 15 is divided by (8/(-6))/((-8)/j)?
3
Suppose 5*r + 80 = s + 25, -2 = r. Calculate the remainder when s is divided by 14 + -4*(-3)/(-6).
9
Let u(m) = 18*m**3 - 4*m**2 - 3*m. Let z(t) = 36*t**3 - 9*t**2 - 7*t. Let n(c) = -9*u(c) + 4*z(c). What is the remainder when n(-1) is divided by 5?
4
Let z = 33 - -9. Calculate the remainder when z is divided by 22.
20
Let q(w) = -2*w - 10. Calculate the remainder when 15 is divided by q(-8).
3
Suppose -2*r + 123 = -79. Calculate the remainder when r is divided by 36.
29
Let n(y) = 27*y + 2. Let c be n(-2). Let s(h) = 7*h + 16. What is the remainder when s(3) is divided by ((-3)/(-6))/((-2)/c)?
11
Let j(b) be the third derivative of 151*b**6/40 + b**4/24 + 3*b**2. Let h be j(1). What is the remainder when 4/(-18) - h/(-18) is divided by 13?
12
Suppose 0 = -2*h - 4*y + 44, 2*h + 0*y - 2*y - 32 = 0. Let i be 6*-1*2/6. Let b = i + 12. What is the remainder when h is divided by b?
8
Suppose -4*f = 5*b - 26, 4*f - 25 = -b - 7. Calculate the remainder when 27 is divided by (f/6)/(8/84).
6
Let z(n) = 15*n - 5. What is the remainder when 71 + (1 - 2 - -3) is divided by z(2)?
23
Let p(g) = -g**3 + 8*g**2 - 12*g - 2. Let n be p(6). Let b(o) = -6*o**3 - 3*o**2 - 3*o - 3. What is the remainder when b(n) is divided by 10?
9
Suppose 4*o - 6*l + 8*l - 22 = 0, -3*l + 24 = 3*o. Suppose y = -4*y + o*k - 24, k = 3. Let d = 8 + y. Calculate the remainder when 14 is divided by d.
4
Suppose 2 + 18 = -2*h. Let k = 14 + h. Suppose 0*s + 2*s = 3*w - 35, -23 = -2*w + s. Calculate the remainder when w is divided by k.
3
Suppose 3*i = 12, -3*k + 2*i + 7 = -0*k. Let o = k + 24. Suppose 10 + 10 = 2*x. What is the remainder when o is divided by x?
9
Suppose 3*k = 4*x + 213, -5*k + 362 - 33 = 2*x. Calculate the remainder when k is divided by 35.
32
What is the remainder when 3*(-26)/(-24)*4 is divided by 4?
1
Suppose -40 = -3*r - 7. Calculate the remainder when 19 is divided by r.
8
Let x = 1 + 5. What is the remainder when 18*1*(-1)/(-2) is divided by x?
3
Suppose 4*x - 32 = -2*j, 5*x - 8 = 2. What is the remainder when 30 is divided by j?
6
Let f = -2 + 4. Suppose f*d - 6*d + 44 = 0. Suppose 0 = 7*y - 4*y - 63. Calculate the remainder when y is divided by d.
10
Let b be 3/(-3)*2 + 4. Let s(k) = 0*k**b - 2*k**2 - 2*k + 0*k + 2*k**3 + 0*k**3 + 4. Calculate the remainder when s(3) is divided by 12.
10
Let z = -21 + 35. What is the remainder when 39 is divided by z?
11
Suppose -9*d = -4*d - 20. Calculate the remainder when 7 is divided by d.
3
Let p = 66 + -42. What is the remainder when 93 is divided by p?
21
Suppose -4*w = -j - 2, -3*j - 2*j - 73 = w. What is the remainder when 1600/35 - 4/j is divided by 2/(-6)*(7 + -55)?
14
Suppose 19*k - 108 - 6 = 0. What is the remainder when 34 is divided by k?
4
Suppose 3 - 11 = -2*j. What is the remainder when 14 is divided by j?
2
Let x = 72 - 45. Calculate the remainder when x is divided by 2/6 + (-88)/(-6).
12
Suppose 0 = 2*y - 5*w - 70, 4*y - 130 = w + 10. Calculate the remainder when y is divided by 18.
17
Suppose -26*x + 28*x - 50 = 0. Calculate the remainder when 47 is divided by x.
22
Let x be 1 + 0 - 1 - -1. Let l = x - -4. Suppose -a - 84 = -l*a. What is the remainder when a is divided by 8?
5
Suppose 3*h + t = -3*t + 4, -4*h + 20 = -2*t. Suppose 5*n = n + 16, 4*i - 3*n + 52 = 0. Let l = 1 - i. What is the remainder when l is divided by h?
3
Let x(b) = b**2 + 8*b + 3. Let z be x(-7). What is the remainder when 46 is divided by -1 + ((-12)/z - -10)?
10
Let r(z) = 86*z. Let g be r(-1). Suppose 4*o - 4*q = -9*q - 208, 2*q = -8. Let b = o - g. Calculate the remainder when b is divided by 20.
19
Let a = 0 + 0. Suppose 3*d + 3*m = 201, -m + 3 = -a*m. Calculate the remainder when d is divided by 22.
20
Let d = -43 - -57. Let s(k) = k**3 - 6*k**2 + 8*k + 5. What is the remainder when s(6) is divided by d?
11
Suppose 0 = 2*h - 4*g + 5*g - 46, 2*h = 5*g + 58. Calculate the remainder when h is divided by 13.
11
Calculate the remainder when 90 is divided by 801/36 + (-6)/(-8).
21
Let p = 50 - 20. Suppose 45 + p = 3*t. Calculate the remainder when t is divided by 7.
4
Suppose -3*c = 2*f - 6, -3*f = -c - c - 35. What is the remainder when 26 is divided by f?
8
Let z = -56 + 78. Suppose 0*u = -4*u + 3*j - 64, 3*u + 5*j = -48. Calculate the remainder when z is divided by -6 - u - (-4)/2.
10
Calculate the remainder when 4/3*(-150)/(-4) is divided by 13.
11
Let l(u) = -3*u - 1 + u**2 + u + 3*u. What is the remainder when l(2) is divided by 3?
2
Let i(d) = 6*d + 3*d - 3*d - 5*d**2. Let k(m) = 6*m**2 - 7*m + 1. Let u(x) = -4*i(x) - 3*k(x). What is the remainder when 20 is divided by u(-2)?
9
Let t(b) = -b - 2. Let d be t(-7). Suppose 2*z - d*z + 2*n + 72 = 0, 0 = -3*n + 9. Suppose 5*s = z - 6. What is the remainder when s is divided by 3?
1
Let f = 5 - -8. What is the remainder when 25 is divided by f?
12
Suppose 2*r + 3*v + 1 = 0, -5*r - v + 17 = -0*v. Suppose -3*f + 39 = -x, 5*f - 54 = 4*x + r. Calculate the remainder when 67 is divided by f.
11
Let h be (-2)/2 + (-4 - -2). What is the remainder when 1*3/h + 15 is divided by 5?
4
Suppose -3*h + 2*h + 4 = 0. Let l(c) = -c + 23 - c**2 + c - h*c + 3*c. What is the remainder when l(0) is divided by 12?
11
Suppose -3*t = i - 3, -2*t = -i - 1 - 1. Let g = i - -17. Calculate the remainder when 50 is divided by g.
16
Calculate the remainder when 41 is divided by (88/(-24))/((-2)/6).
8
What is the remainder when 53 is divided by (51/9 - 3)*6 + -4?
5
Let p be ((-3)/4)/(1/60). Let u = p - -105. Suppose -3*w + 8*w = u. What is the remainder when 22 is divided by w?
10
Suppose l = -4*c + 4*l + 56, -2*l - 8 = 0. What is the remainder when 32 is divided by c?
10
Suppose 5*a + r + 75 = 0, 5*a + 2*r + 80 = -0*r. Let u = a + 39. Suppose g + 3 = 12. What is the remainder when u is divided by g?
7
What is the remainder when 2046/(-9)*6/(-4) is divided by 38?
37
Let z(f) = -f - 2. Suppose 2*y + 27 = 5*y. What is the remainder when z(-7) is divided by 20/y + (-2)/9?
1
Let p be 0 + -2 - 6*-1. Suppose -p = -n + 2. Calculate the remainder when n is divided by 4.
2
Let m = 14 - 15. Let k = 24 + -10. Let r = k + m. What is the remainder when r is divided by 4?
1
Let f = 30 - 12. Let h(a) = a**3 - 25*a**2 + 51*a - 82. What is the remainder when h(23) is divided by f?
15
Suppose 2*p = -3*s + 293, p - 182 = -2*s + 3*p. What is the remainder when s is divided by 48?
47
Let s(j) be the first derivative of j**4/4 + 3*j**3 - 11*j**2/2 + 4*j + 3. What is the remainder when 25 is divided by s(-10)?
11
Suppose -4*i = -473 + 37. What is the remainder when i is divided by 28?
25
Suppose -5*t + 5*n = -60, -n = 4*t - 6*n - 51. What is the remainder when 33 is divided by t?
6
Let p(n) = -6*n**3 - 2*n**2 - 3*n - 2. Suppose 2 = -4*m + 74. Calculate the remainder when m is divided by p(-1).
3
What is the remainder when 43 is divided by (44/20)/(3 + 42/(-15))?
10
Let k(z) = z**2 - 3*z - 2. Let f be k(3). Calculate the remainder when 20 is divided by (1 - f) + 7 + -3.
6
Let b = -10 - -17. What is the remainder when 20 is divided by b?
6
Let u(z) = -z**3 + 8*z**2 + z + 1. Let d be u(8). Suppose -6 = 5*h + 2*r - 46, -h - d = -3*r. What is the remainder when h is divided by 3?
0
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