 l be w(-6). Suppose l*d = d + 56. Calculate the remainder when 27 is divided by d.
13
Suppose 0*r = -2*r + 152. Suppose -84 = -3*y + 2*x, 0 = -y + 7*x - 3*x + 38. What is the remainder when r is divided by y?
24
Suppose -6*q + q = 50. Let u(k) = -2*k + 2. Calculate the remainder when 65 is divided by u(q).
21
Let a(c) = 7*c + 7. What is the remainder when a(3) is divided by 10?
8
Let y(r) = 15*r**2 - 3*r - 2. What is the remainder when 102 is divided by y(2)?
50
Suppose -7 - 6 = -z. Calculate the remainder when z is divided by -15*(-3 + (-24)/(-9)).
3
Let c(m) = m**2 + 5*m - 6. Calculate the remainder when c(-7) is divided by 3.
2
Let w = -18 + 72. Calculate the remainder when w is divided by 14.
12
Suppose -90 = -3*h - 45. What is the remainder when h is divided by 6?
3
Suppose 4*g - 37 = 43. What is the remainder when 57 is divided by g?
17
What is the remainder when (-84)/(-1) + -1 + 1 + 4 is divided by 5?
3
Suppose 6*n - 3*n = 102. Suppose -5*u + n + 46 = 0. Suppose 5*y - 18 = 3*y. What is the remainder when u is divided by y?
7
Let w(x) = x + 1. Let k(l) = l - 5. Let r be k(9). Calculate the remainder when 14 is divided by w(r).
4
Suppose -f - 6 = -4*k + 5*k, 22 = -4*f - 3*k. Let j = f - -14. Calculate the remainder when j is divided by 4.
2
Let f = -15 + 17. Let l(n) = 4 + 0*n + 3*n - 4*n. What is the remainder when 4 is divided by l(f)?
0
Suppose -v + 3*j = -9, -4*v + 2*j = -j - 63. Let a(k) = k**2 + 8*k + 17. Calculate the remainder when v is divided by a(-7).
8
Suppose -11 = -5*m + 19. Suppose -3*p = -3*c - 174, -2*p - 232 = -m*p + 2*c. What is the remainder when p is divided by 12?
10
Let r(a) = 35*a**3 + 2*a**2 - 2*a + 1. Calculate the remainder when r(1) is divided by 13.
10
Suppose -2*o = -4*v + 8, -2*v + 8 = -3*o + 2*v. Suppose 4*s - 33 = -3*j + 8, 2*j - s - 42 = o. Let w = j - -24. Calculate the remainder when w is divided by 15.
13
Suppose 4*u = i + 51, -2*u - i + 0*i = -27. Let q = -6 + u. What is the remainder when q is divided by 4?
3
Let m(y) = 16*y**2 - 2*y + 1. Let q be m(2). Suppose -j = 5*n - 154, 3*j - 4*j + q = 2*n. Suppose 83 - n = b. What is the remainder when b is divided by 18?
16
Let v be 2/(-12) + 114/36. Suppose -v*a - 2*d - 44 = -7*a, 2*d = -4*a + 44. What is the remainder when a is divided by 6?
5
Let m(k) = -k - 3. Suppose -q + 0*q - 5 = 0. Let p be m(q). Let b(r) = 12*r + 2. Calculate the remainder when b(p) is divided by 9.
8
Let m = -19 + 29. Suppose 1 = -3*p + f, -4*p + 3*f + 2 = m. What is the remainder when 1 is divided by p?
0
Let o be -2*(-3 - -2)/(-2). Let d be 1 + 0 - o*1. Suppose d*l = -5*k + 14, 7*l - k = 4*l + 4. Calculate the remainder when l is divided by 2.
0
Calculate the remainder when -51*((-24)/9)/4 is divided by 24/30*15/1.
10
Let u be 45/(-6)*(-16)/6. Suppose -g + k - 6 = -2*g, -4*k + u = 2*g. What is the remainder when 16 is divided by 12*(3/(-2) + g)?
4
Let b = 6 - 6. Suppose b*q - 6 = -3*q. Suppose -n + 5*n = d + 35, 5*n + q*d - 34 = 0. Calculate the remainder when 15 is divided by n.
7
Suppose -170 = 7*b - 12*b. Calculate the remainder when b is divided by 10.
4
Let b(x) = -19*x. Let r be 1 - (0 + 1) - 2. Let o(f) = f**3 - 6*f**2 - 6*f + 6. Calculate the remainder when b(r) is divided by o(7).
12
Suppose 9*b = 7*b - 2*k + 224, 2*b - 220 = 2*k. Suppose -i + 14 = -14. Calculate the remainder when b is divided by i.
27
Suppose -480 = -4*p - 0*q + 5*q, 2*p = -3*q + 240. Suppose c = -3*c + p. What is the remainder when c is divided by 16?
14
Let s = 92 + -62. What is the remainder when s is divided by 16?
14
Let a = -148 - -241. Calculate the remainder when a is divided by 47.
46
Suppose -4*a = 5*c - 49, 2*a - 12 = -4*c + 14. Let x(g) = -g + 17. Calculate the remainder when a is divided by x(13).
3
Calculate the remainder when (-1 - (3 - 27)) + -2 is divided by 10 + 3/(-2 - -5).
10
Let z = 6 - -2. Let a(r) = 5*r**3 + r - 2. Let s be a(-2). What is the remainder when (s/3)/((-8)/12) is divided by z?
6
Let r = -85 - -95. What is the remainder when 26 is divided by r?
6
Suppose 3*d = c + 108, -2*d - d = -3*c - 114. Calculate the remainder when d is divided by 18.
17
What is the remainder when (-3)/((2/(-2))/7) is divided by -3 + 0 - (-4 + -5)?
3
Let p(q) = 17*q**3 + 5*q**2 - 3*q - 3. Let k be p(3). What is the remainder when k/16 - 1/(-4) is divided by 16?
15
Suppose -4*r + 20 = -0*r. Let d = -6 + 9. Suppose d*i - 72 = -i. What is the remainder when i is divided by r?
3
Suppose -3*v = -4 - 5. Let x be 1/(-6) - 4/(-24). Suppose x = v*r - l - 105, -r - 3*r - l = -133. Calculate the remainder when r is divided by 12.
10
Let v = -23 + 58. Let t(u) be the third derivative of u**4/4 - u**3 + 2*u**2. Calculate the remainder when v is divided by t(4).
17
Let v(q) = q**3 + 8*q**2 - 3*q + 11. Calculate the remainder when v(-4) is divided by 30.
27
Let r = -36 - -23. Let a = r + 46. Calculate the remainder when a is divided by 12.
9
Let j(v) = -v**3 + 6*v**2 + 6. Let c be j(6). Suppose -2*o - 16 = -c*o. What is the remainder when 9 is divided by o?
1
Let z be (-8)/40 - (-306)/5. Suppose 5*o - z = -3*s, -3*o + 0*s = -4*s - 54. Let d = 33 - 6. Calculate the remainder when d is divided by o.
13
Let h(m) = -2*m**2 + 11*m - 4. Let k(p) = -p**2 + 1. Let g(y) = h(y) - k(y). Calculate the remainder when ((-74)/(-4))/(1/2) is divided by g(9).
11
Calculate the remainder when 8 is divided by (6/(-4))/(4/(-24)) - 3.
2
Suppose 2*o - 52 = -16. Calculate the remainder when 71 is divided by o.
17
Suppose -4*q - 20 = 2*g - q, 2*g + 16 = -5*q. Let a = 28 + -56. Let f = g - a. Calculate the remainder when 28 is divided by f.
13
Suppose 3*b - 42 = 5*t + 24, 0 = b + 3*t - 22. What is the remainder when 41 is divided by b?
19
Suppose -s = 4*a + 14, -2*s - 37 = 4*a - 9. Let r be (-4)/2*(4 - 0). Let w = r - s. Calculate the remainder when 11 is divided by w.
5
Let j be 1 - (-1 - (2 + -2)). Suppose 0 = -a + j*a + 5*f - 28, -2*f = -a + 21. What is the remainder when a is divided by ((-10)/(-4) + -2)*12?
5
Suppose 4*t = 4*n - 52, 2*t - 19 = 2*n - 3*n. Let k = n - 1. What is the remainder when k is divided by 4?
2
Let z(d) be the third derivative of -d**6/120 - d**5/30 + 5*d**4/24 - d**3/3 - d**2. What is the remainder when 29 is divided by z(-4)?
9
Suppose 4*l - 26 - 18 = 0. What is the remainder when l is divided by 8?
3
What is the remainder when 57 is divided by -1 - -17 - (-1 - (-3 + 1))?
12
Let d(t) = 4*t - 9. What is the remainder when d(8) is divided by 6?
5
What is the remainder when 16 is divided by 2 - -4*3/6?
0
Let h(s) = s**3 - 17*s**2 - 13*s - 9. Calculate the remainder when h(18) is divided by 31.
19
Suppose h + 0*h = -38. Calculate the remainder when (h/8)/((-7)/56) is divided by 10.
8
Let k = 15 - -5. Calculate the remainder when 21 is divided by k/5 + 1*2.
3
Let d = -4 - 4. Let p = 1 - d. Let y(w) = 16*w**3 + 2*w**2 - w. Calculate the remainder when y(1) is divided by p.
8
Let c = -12 - -17. Suppose -5*l + 84 = c*m + 29, 5*m - 3*l - 39 = 0. What is the remainder when 17 is divided by m?
8
Let f = -30 + 64. Let m = f - 19. Calculate the remainder when 27 is divided by m.
12
Let h = -29 - -57. What is the remainder when 82 is divided by h?
26
Let b(a) = -a**2 - 10*a - 13. Calculate the remainder when 46 is divided by b(-5).
10
Suppose -2*t + 3 + 12 = h, 0 = -3*t - 3*h + 27. Calculate the remainder when 7 - (-2 + t/3) is divided by 5.
2
Let o(b) = 2*b - 4*b - 1 - 2 - 6*b. Calculate the remainder when o(-3) is divided by 12.
9
Let m = 271 + -192. What is the remainder when m is divided by 41?
38
Suppose -16 + 240 = 4*q. Calculate the remainder when q is divided by 20.
16
Let w be 61/(-6) - 5/(-30). Calculate the remainder when 11 is divided by (9/(-15))/(2/w).
2
Let d = 135 - 199. Let x = -46 - d. Calculate the remainder when 69 is divided by x.
15
Let l(b) = b**2 + 7*b - 13. What is the remainder when 34 is divided by l(-9)?
4
Let p = -2 - -4. Let t = p - -2. Suppose -4*c = -0*c - 24. Calculate the remainder when c is divided by t.
2
Suppose 331 = 8*c - 381. What is the remainder when c is divided by 23?
20
Let p(r) = r**3 - 4*r**2 + 4*r - 3. Let n be p(3). Suppose -4*b + n*b = -44. Calculate the remainder when 31 is divided by b.
9
Suppose 105 = -0*x + 5*x. Calculate the remainder when x is divided by (1 - 