t l = 33 + -22. Suppose 6*o + 4*s - 115 = 3*o, 149 = 4*o + s. Suppose c + 16 = z, -z + c + o = z. Calculate the remainder when z is divided by l.
10
Suppose 4*d - 7 = -19, -3*d = 3*p - 27. Calculate the remainder when 58 is divided by p.
10
What is the remainder when 69 is divided by 2398/99 - 2/9?
21
Suppose 0 = -3*x - 5*s + 3 + 1, -2*x = 3*s - 2. Let c = x + 6. Suppose j = -5*w + 55, 0 = c*w + 4*j - 30 + 2. What is the remainder when w is divided by 7?
5
Suppose 0 + 20 = 4*h. Suppose h*q - 4*n = 21, -9 = 2*q + 5*n + 9. Calculate the remainder when (-2)/2 - -7 - q is divided by 3.
2
Let l(q) = q**2 - 4*q - 2. Let b(r) = 2*r**2 + 10*r + 1. What is the remainder when b(-7) is divided by l(6)?
9
Suppose -3*m + 5*m = 4. Suppose -g = -6 - m. What is the remainder when g is divided by 3?
2
Suppose 2*h + 675 = 11*h. What is the remainder when h is divided by 19?
18
Suppose -6 + 4 = 2*d. What is the remainder when -41*(-2)/(d + 3) is divided by 14?
13
Suppose -d = -n + 4, d - n + 2*n + 2 = 0. What is the remainder when 6 is divided by (3/d)/(2/(-4))?
0
Let f(r) be the second derivative of -r**3/3 + r**2/2 + 2*r. Suppose 54 = 2*k + 4*c, 6*c = 2*k + c - 63. What is the remainder when k is divided by f(-7)?
14
Suppose 2*c - 455 = -2*a + 5*c, 0 = 2*a + 4*c - 462. Suppose -5*z + 325 = 5*n - 40, 0 = 3*n + 5*z - a. Calculate the remainder when n is divided by 23.
22
Suppose 0 = 3*y + 12, 0*c + 2*c + 2*y - 72 = 0. What is the remainder when 158 is divided by c?
38
Suppose 2*g + y = -2*y - 117, 5*y - 330 = 5*g. What is the remainder when 65 is divided by (-1057)/g - (-2)/9?
14
Let n(s) = -2*s**3 - 2*s**2 - 1. Let o(w) = -w**2 + 5*w + 2. Let v be o(6). Calculate the remainder when n(v) is divided by 24.
23
Let t = 16 - 13. What is the remainder when 29 - ((-6)/2)/t is divided by 11?
8
Let d = 2 - -19. What is the remainder when 60 is divided by d?
18
Suppose 0 = -5*j + 7*j - 92. Calculate the remainder when j is divided by 24.
22
Let p be -2 + -2 + (-1 - -53). Let v = -9 + -2. Let w = p + v. What is the remainder when w is divided by 13?
11
Let f be (-3)/(-6) - 5/2. Let w be 4/f*(-3)/2. Suppose 5*m + w*v = 39 + 138, 5*m = 3*v + 183. What is the remainder when m is divided by 13?
10
Suppose 11*w - 318 = 8*w. Calculate the remainder when w is divided by 27.
25
Suppose -24 = -5*h - 4*w, 5*w = -h + 8 + 1. Suppose -h*m = -g - 6 - 1, -g - 2*m = -17. Suppose 0 = 5*q - 1 - g. Calculate the remainder when q is divided by 1.
0
Let o be (-2)/8 - 140/16. Let u = o + 15. Suppose 0 = -a + u*d - d + 13, 3*a + 3*d = 21. What is the remainder when 15 is divided by a?
7
Suppose -7*y + 2*y = 5*p - 140, -y = -p + 34. Let l = 15 + -11. Suppose -2*f - 2*a + 22 = 0, 2*f + 3*a - l*a = 22. What is the remainder when p is divided by f?
9
Let o(w) be the first derivative of w**2 + 1/4*w**4 + 1/3*w**3 - 3 - 3*w. What is the remainder when 37 is divided by o(2)?
11
Let c(z) = -z**3 - 2*z**2 + 4*z + 4. Let l = 1 + 1. What is the remainder when l is divided by c(-3)?
0
Calculate the remainder when 25 is divided by 22 + -8 - (2/1)/(-2).
10
Suppose -4*p = 2*a - 19 + 3, -p + 3*a + 18 = 0. What is the remainder when 28 is divided by p?
4
Let w(l) be the third derivative of -l**4/24 + l**2. Let h(m) = 7*m + 1. Let y(u) = -3*h(u) - 15*w(u). Calculate the remainder when 28 is divided by y(-3).
13
Let v = -227 - -321. Calculate the remainder when v is divided by 19.
18
Let y(j) = 3*j + 10. Let q be y(-8). Let w = q + 33. What is the remainder when w is divided by 10?
9
Suppose 0 = 3*d - w - 78, d - 3*d = -5*w - 39. Suppose 39 + 9 = -3*u. Let p = d + u. Calculate the remainder when 21 is divided by p.
10
Let d(o) = 6*o**2 - o - 2. Calculate the remainder when d(2) is divided by 11.
9
Let x(o) = 35*o**2 + 3*o - 2. What is the remainder when x(1) is divided by 19?
17
Suppose -71 = -2*o - 27. What is the remainder when 87 is divided by o?
21
Let b(v) = -v**3 - 5*v**2 + 3. Let w be b(-5). Suppose -32 = -4*h + 2*h - 4*m, -3*h + 3*m = -57. What is the remainder when 52 + w*3/9 is divided by h?
17
Let r(s) = -2*s. Let w be r(-1). Let f = 0 + w. Suppose 6*x - f*x - 112 = 0. Calculate the remainder when x is divided by 15.
13
Suppose -13 = -s - b, 4 = -4*b - 16. Let l be 1/(10/(-6) - -2). Suppose l*j - 10 = 2*j. Calculate the remainder when s is divided by j.
8
Suppose 5*c = 4*v + 180, -c + 47 = -2*v - v. Let s(d) = d**3 + 3*d**2 - 4*d + 11. What is the remainder when c is divided by s(-4)?
10
Calculate the remainder when -40*(-5)/(5/2) is divided by 27.
26
Let y = 4 + -1. Suppose 3*d + y*z = z + 169, -230 = -4*d - 5*z. Suppose 43 = 6*v - 41. Calculate the remainder when d is divided by v.
13
Suppose 2*d = -m - 318, 0*d = -5*d + 5*m - 810. Calculate the remainder when d/(-15) + 2/6 is divided by 6.
5
Let v = 62 + -49. What is the remainder when v is divided by 8?
5
What is the remainder when 207/6 + 18/12 is divided by 20?
16
Let g(x) = x + 1. What is the remainder when g(6) is divided by 5?
2
Let l = 71 + 46. Let o = l + -83. Calculate the remainder when o is divided by 9.
7
Let g = -21 + 45. Let s = 30 - 17. Calculate the remainder when g is divided by s.
11
What is the remainder when 128 is divided by -3 - 936/(-20) - 1/(-5)?
40
Let d = 6 - 3. Suppose -z + 4*p = -23, d = 2*z - z + p. Calculate the remainder when (-2)/4*-1*52 is divided by z.
5
Let v = 19 - -1. What is the remainder when 139 is divided by v?
19
Let g(w) = 17*w + 5. Let j(s) = -s**3 - 5*s**2 - 6*s - 3. What is the remainder when g(6) is divided by j(-5)?
26
Suppose 0 = -25*u + 22*u + 60. Calculate the remainder when 75 is divided by u.
15
Suppose -4*m = -9*m + 30. Let n(t) = 7*t**2 + 1. Let h be n(-2). Let a = h + -19. Calculate the remainder when a is divided by m.
4
Let p(c) = -c - 4*c - c**2 - 3*c. What is the remainder when (-1)/4 + (-212)/(-16) is divided by p(-7)?
6
Let c(t) = 5*t - 22. What is the remainder when c(17) is divided by ((-1)/1)/((-4)/64)?
15
Suppose -73 = -5*k + 57. Let j be (k/3)/(4/(-6)). What is the remainder when (-63)/j - (-14)/91 is divided by 2?
1
Suppose -5*i + 48 = 3*t, 4*t - 25 = 2*i + 39. Calculate the remainder when 39 is divided by t.
7
Let k = 2 + 12. Let y = -7 + 1. Let m = 32 + y. What is the remainder when m is divided by k?
12
Let c = 57 + -93. What is the remainder when 7 is divided by 12*4/c*-3?
3
Let f(s) = 18*s - 5. Calculate the remainder when 60 is divided by f(2).
29
Suppose 6 = 4*l - 6. Suppose l*v = -3*m + 15, 0*m - 13 = -5*v - m. Suppose 5*f = 17 - v. Calculate the remainder when 7 is divided by f.
1
Suppose -2*f = f - 159. Let z(q) = -q - 1. Let y be z(-4). What is the remainder when f is divided by 8*6/y - 2?
11
Let b = -2 - 8. Let s be (-5)/b - 10/(-4). Suppose -2*g - s*h = -5 - 21, 4*g - 50 = -5*h. Calculate the remainder when 29 is divided by g.
9
Let m(w) = 2*w**3 - 2*w**2 + 15. Calculate the remainder when 72 is divided by m(0).
12
Let k = 5 + 28. Suppose 0 = w - 2*w + k. Suppose -3*m + 5*c + 38 = 2, 2*c - 23 = -m. What is the remainder when w is divided by m?
16
Suppose -141 + 51 = -5*p. Let v(l) = 7*l**2 - 7*l - 2. Let h be v(6). Suppose 0 = x - 5*x + h. Calculate the remainder when x is divided by p.
16
Let d(v) = v**3 + v**2 + 2. Let n be d(0). Suppose 2*a = -n*a - 16. What is the remainder when (-50)/(-4) + a/(-8) is divided by 7?
6
Suppose -48 = -4*l + 52. What is the remainder when l is divided by 8?
1
Let c(i) = i + 7. Let w be c(8). Let a(s) = -s**2 - 4*s - 2. Let k be a(-3). Suppose -k = y - w. Calculate the remainder when 41 is divided by y.
13
Suppose 0 = -3*f + f + 62. Suppose -8 + 0 = -2*q. Let b = q - -7. Calculate the remainder when f is divided by b.
9
Suppose 0 = 6*o - o - 55. Suppose g - o = 17. What is the remainder when 82 is divided by g?
26
Suppose 2*a - 35 = 3*s, 2*s - 37 = -a - 3*s. Calculate the remainder when a is divided by 12.
10
Let b(y) be the first derivative of 5*y**3/3 - y**2/2 - 8*y - 7. What is the remainder when b(4) is divided by 23?
22
Let t(a) = -3*a + 1. Let z be t(-1). Suppose -3*j + 51 = -3*m, -j - 2 = -2*j - z*m. What is the remainder when j is divided by 36/24*10/3?
4
Suppose 2*j = -j + 18. Suppose -5*z + 95 + 41 = 4*k, -2*k + 110 = 4*z. Calculate the remainder when z is divided by j.
4
Let y = 8 - 5. Let r = 6 + -5. Calculate the remain