hen z is divided by 9.
8
Suppose -3*a + 36 = o - 6*a, -3*a = 5*o - 108. What is the remainder when o is divided by 0 + -1 - -7*2?
11
Let y be (6/(-4))/((-6)/16). Suppose y*q = 2*q + 8. Let c = 6 + q. What is the remainder when 27 is divided by c?
7
What is the remainder when (11 - 0)/((-2)/(-6)) is divided by 18?
15
What is the remainder when (19 - (2 + 0))/(17/17) is divided by 9?
8
What is the remainder when 62 is divided by (-5)/(-35) - 90/(-7)?
10
Suppose 5*v = -2*w + 13 + 20, 4*v - 36 = -4*w. Suppose -4*j + 18 + 0 = -2*t, 3*j = -5*t + 46. Calculate the remainder when j is divided by w.
3
Suppose 0 = -6*o + 24 + 90. What is the remainder when o is divided by 5?
4
What is the remainder when (-4)/6 - 262/(-6) is divided by (-40)/(-2) + (-4 - -6)?
21
Let x(k) = 9*k - 6. Let p be x(-5). What is the remainder when 16 is divided by 2/6 + p/(-9)?
4
Let r(z) = z**3 + 20*z**2 + 15. Calculate the remainder when r(-20) is divided by 8.
7
Suppose -6*n = -11*n + 200. Calculate the remainder when n is divided by 15.
10
What is the remainder when 82 is divided by (3/(-6))/((-7)/196)?
12
Suppose -5*c - 8 - 2 = 0. Let x be 78/((-6)/c) - 0. Let s = -15 + x. What is the remainder when 21 is divided by s?
10
Let p(k) = k**3 - 3*k**2 + 2*k - 2. Let t be p(3). Suppose 6 + t = 5*n, 93 = -5*m + 4*n. Let j = -11 - m. What is the remainder when 16 is divided by j?
4
Let w = 275 + -107. Suppose 6 - w = -3*q. What is the remainder when q is divided by 14?
12
Calculate the remainder when 27 is divided by ((-150)/40)/((-6)/16).
7
Calculate the remainder when 79 is divided by 8/3*(-150)/(-20).
19
Calculate the remainder when (-54)/(-6) + (-4)/2 is divided by 4.
3
Calculate the remainder when 46 is divided by 2/(-4 + (-50)/(-12)).
10
Calculate the remainder when 1050/33 - (-6)/33 is divided by 17.
15
Suppose -3*s + 5 = -2*s. Suppose -4*a - s = -c + 26, 2*c + 3*a = 7. What is the remainder when 32 is divided by c?
10
Let g be (-4)/(-18) - (-604)/36. Suppose 12 = -4*s, -4*l + g = s - 0*s. What is the remainder when l is divided by 2?
1
What is the remainder when 49 is divided by 5 - 114/24 - (-134)/8?
15
Suppose -2*m - 5*g = -27, 0 = 5*m + 4*g - 71 + 29. Let f be (-12)/(-10)*(-5)/(-1). Calculate the remainder when (-20)/f*(-96)/20 is divided by m.
4
Suppose -3*d - d = 36. Calculate the remainder when 29 is divided by 54/d*(-8)/6.
5
What is the remainder when 15 is divided by ((-18)/5)/(16/(-40))?
6
Let d be 1/(4/(-264)*-2). Let n = d - 30. Calculate the remainder when 11 is divided by n.
2
Suppose -j = 3*y - 36, 2*j - 15 = y + 50. Let z = 8 + j. Suppose 0 = -2*f - 7 + z. Calculate the remainder when 66 is divided by f.
15
Let o be (3/(-6))/((-1)/(-46)). Let q = 47 + o. Calculate the remainder when q is divided by 1 + (-11 - 1)/(-1).
11
Let i = 13 - 2. What is the remainder when (-2 + -12)*(-3)/2 is divided by i?
10
Suppose -7*o = -8*o + 122. What is the remainder when o is divided by 31?
29
Let s(g) = g + 3. Let l(m) = m + 19. Calculate the remainder when s(4) is divided by l(-15).
3
Let w = -798 + 816. Let p = 19 - 12. What is the remainder when w is divided by p?
4
Let s(d) = -2*d + 26. Suppose -3*j = 2*r - 4*r + 9, 2*j - 51 = -5*r. Calculate the remainder when s(0) is divided by r.
8
Suppose 3*n + 26 = 185. Suppose n = 5*w - 4*w. What is the remainder when w is divided by 14?
11
Let v = -1 + 15. Calculate the remainder when 68 is divided by v.
12
Suppose 0 = 2*n - 0*n - 38. Suppose -2*g = -3*g + n. Calculate the remainder when g is divided by 10.
9
Suppose 8 = 2*m, 2*v - 3*v + m = -4. Calculate the remainder when 110 is divided by v.
6
Let v(z) = -z + 57. Calculate the remainder when v(-26) is divided by 21.
20
Suppose -3*a - 194 = 5*o, 2*o + 3*o + 2*a = -191. Let t = o + 66. Calculate the remainder when t is divided by 10.
9
Let y(s) = s + 1. Let h(m) = -m**2 + 12*m - 1. Let g be h(12). Let b = g + 4. Calculate the remainder when y(4) is divided by b.
2
Suppose -10*u + 166 = -424. What is the remainder when u is divided by 15?
14
Let y(p) = p**2 - p + 13. What is the remainder when y(0) is divided by 6?
1
Suppose 56 = -4*a + 156. Let w(y) = y**3 + 8*y**2 + 7*y - 7. Let m be w(-7). Let r = m + 14. What is the remainder when a is divided by r?
4
Let l = -21 + 37. Calculate the remainder when 28 is divided by l.
12
Let n(z) be the third derivative of -z**4/12 - 4*z**3/3 - 2*z**2. Suppose 0*g - 4*g - 3 = 5*x, 4*g = 5*x + 27. What is the remainder when n(-6) is divided by g?
1
Suppose 3*z - z - 86 = 0. Suppose -3*y + i + 47 = -y, 2*i + 6 = 0. What is the remainder when z is divided by y?
21
Suppose 6*d - 315 = 3*d. Suppose 2*u - 2 = -6, 5*u = -5*f - d. Let a = 41 + f. Calculate the remainder when a is divided by 8.
6
Let f = -14 - -22. Let l = f - 5. Suppose -4*a + 5 = -l*a. Calculate the remainder when 12 is divided by a.
2
Let b be (-35)/(-1) + 1 - -2. Let q = -18 + b. Calculate the remainder when q is divided by 7.
6
Let y = 3 - 4. Let a = y + 51. What is the remainder when a is divided by 17?
16
What is the remainder when 5/(35/478) - 2/7 is divided by 24?
20
Let z = -181 - -196. What is the remainder when 117 is divided by z?
12
Let v = 59 - 51. Calculate the remainder when 30 is divided by v.
6
Suppose 6*a - 2*a + 188 = 0. Let c = -34 - a. What is the remainder when 38 is divided by c?
12
Suppose -3*f + 3 = -24. Let p(k) be the first derivative of -13*k**2/2 - 2*k + 2. Calculate the remainder when p(-2) is divided by f.
6
Suppose 3*a + 3 = 4*j, -5*j = -8*a + 3*a. Suppose -j*q + 9 = -3. Suppose -3*x + 58 = q*u - 72, -u + 42 = -4*x. What is the remainder when u is divided by 12?
10
Let d = -8 - -6. Let a = 32 + d. What is the remainder when 117 is divided by a?
27
Let m(v) = v**3 + 19*v**2 + v + 27. What is the remainder when 20*(1/(-4) + 1) is divided by m(-19)?
7
Let f = 84 - 68. What is the remainder when 93 is divided by f?
13
Suppose -4*t + 120 + 128 = 0. What is the remainder when t is divided by -1*-7*(-1 - -4)?
20
Let o(x) = x. Let f be o(2). Suppose f*r = -3*r + 85. What is the remainder when 33 is divided by r?
16
Suppose 0 = -2*k + 5*a + 8, 0 = -k - 7*a + 2*a + 19. Let n = k + -8. Calculate the remainder when n is divided by 1.
0
Let j(r) = -2*r**2 - r + 13. Calculate the remainder when 36 is divided by j(0).
10
Let d = -44 - -81. What is the remainder when 145 is divided by d?
34
Suppose 0 = -4*w + 25 + 11. What is the remainder when 61 is divided by w?
7
Let w be (0 - -2)/(2/4). Suppose 0 = -w*d - 2*f - f + 65, -5*f - 25 = 0. Calculate the remainder when 77 is divided by d.
17
Suppose -2*h = 2*h - 16. Suppose 5*v - o - 120 = 3*o, 0 = h*o - 20. Suppose -3*c = g + 5, -3*g - 2*g - 5*c = -25. What is the remainder when v is divided by g?
8
Let q = 35 + -26. Calculate the remainder when 25 is divided by q.
7
Let m = -73 - -190. Suppose -2*a + 38 = -a. What is the remainder when a is divided by m/3*3/9?
12
Calculate the remainder when (-5)/(-15)*87/1 is divided by 82/8 - 3/12.
9
Suppose 0 = 3*j - 6*j + 57. Calculate the remainder when j is divided by 6.
1
What is the remainder when 7 is divided by 190/40 + (-3)/(-12)?
2
Suppose -4*c = -2*r + 4*r - 22, 16 = c + 4*r. What is the remainder when 4 is divided by c?
0
Let s = -22 - -15. Let y(d) be the third derivative of -d**4/12 - 5*d**3/6 - 32*d**2. Calculate the remainder when 34 is divided by y(s).
7
Suppose 6*k - 51 = 5*k. What is the remainder when k is divided by 26?
25
Suppose -4*p - 2*a = -282, -5*a + 53 = p - 8*a. Calculate the remainder when p is divided by 18.
14
Let c(i) = i**3 + 10*i**2 + 8*i + 13. Let q be (-166)/18 - (-14)/63. Let y be c(q). Calculate the remainder when 22 is divided by y/6*3 - -1.
10
Let x be 1 - 4 - (-158)/2. Let s = 45 - 72. Let h = s + x. Calculate the remainder when h is divided by 17.
15
Suppose -4*n + 12 = -24. Let y(k) = k**3 + 4*k**2 - 7*k - 5. Let q be y(-5). Suppose 0 = -q*i + i + 104. Calculate the remainder when i is divided by n.
8
Let w(k) = -3*k + 24. What is the remainder when w(-11) is divided by ((-14)/(-4) + -1)*6?
12
Let n(i) = -i**3 + i + 3. Let t be n(0). Suppose -w + 2*b + t = 4, 2*w - 22 = -4*b. What is the remainder when 50 is divided by 1*-2 - -3*w?
11
Suppose -4*s = -7*f + 3*f - 8, -7 = -2*s + 3*f. Let u be s + (-1 - 0) + -8. Calculate the remainder whe